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

input_ids listlengths 512 512	attention_mask listlengths 512 512
[ 148346, 135118, 12483, 6, 75230, 125523, 1285, 45629, 33809, 1211, 125523, 4269, 28726, 16932, 4, 1470, 75230, 27, 119718, 710, 17824, 75230, 2702, 5, 27, 910, 35189, 21776, 159696, 90848, 159696, 27, 148346, 1644, 54260, 148346, 418, 4113, 4113, 20033, 23050, 4852, 33809, 50856, 4, 874, 54260, 1211, 657, 54260, 4113, 7038, 24621, 4, 1470, 75230, 27, 113889, 4667, 21374, 119132, 6255, 3523, 34533, 6, 148346, 135118, 12483, 163139, 125523, 1285, 45629, 33809, 1211, 125523, 6, 148346, 1644, 33809, 51723, 5, 1470, 75230, 27, 119718, 98071, 17824, 75230, 2702, 27, 966, 2648, 4074, 5666, 90848, 54260, 1982, 27, 148346, 7972, 148346, 4852, 36419, 20033, 6235, 4852, 88917, 4, 6, 52541, 3944, 148346, 4113, 34072, 4, 9213, 27, 113889, 4667, 89979, 119055, 13845, 6255, 6, 148346, 135118, 12483, 6, 148346, 20616, 2442, 163139, 125523, 1470, 17645, 4, 1211, 1470, 75230, 27, 9719, 17824, 75230, 2702, 5, 5, 12, 2808, 75230, 6293, 7213, 148346, 44478, 2050, 67882, 71945, 4, 2932, 54260, 5, 6255, 6, 121865, 220224, 4838, 6235, 119718, 21292, 4, 165592, 6255, 163139, 1644, 46050, 49008, 4838, 6, 73906, 12483, 4, 29771, 148346, 6093, 4838, 6, 238144, 2702, 12483, 6, 148346, 15350, 29060, 12, 5, 5843, 26, 129891, 4838, 15529, 66293, 6093, 23269, 240863, 12483, 1470, 33809, 13497, 53414, 6, 148346, 25207, 18415, 1644, 4, 506, 64260, 6, 56052, 364, 23173, 7611, 132025, 8903, 506, 75230, 148346, 12483, 3523, 33809, 6319, 71804, 55823, 1211, 2932, 16011, 18225, 4838, 6235, 49268, 710, 12, 220273, 8580, 38, 6, 2050, 12415, 7511, 40096, 5, 2932, 29766, 8580, 292, 6428, 33809, 3523, 15533, 2702, 3373, 39083, 2648, 40096, 5, 5, 617, 90848, 148346, 6255, 6235, 119718, 39083, 2882, 42572, 33809, 1211, 6428, 99766, 4838, 177282, 75230, 36909, 12483, 4, 68313, 7243, 6235, 159696, 1211, 6319, 54260, 1211, 69529, 2190, 152656, 4, 506, 64260, 18225, 7508, 9221, 6235, 905, 29771, 2932, 2702, 152, 22753, 81444, 711, 159696, 16803, 7265, 7508, 119718, 21087, 68558, 6, 124470, 22492, 448, 22518, 54260, 148346, 12483, 5, 758, 148346, 8580, 6255, 6235, 240863, 12483, 7265, 7508, 75230, 29260, 101328, 2884, 6, 24295, 34322, 22518, 54260, 12483, 2442, 64260, 18225, 205026, 6, 23173, 23174, 4113, 39293, 13159, 2205, 7265, 12483, 25222, 148346, 6255, 6, 148346, 9221, 4838, 6, 98055, 292, 7508, 6, 48253, 22426, 3149, 2442, 2205, 6, 148346, 1644, 75230, 4852, 3523, 54260, 14088, 4, 35189, 21374, 49268, 3056, 6, 56052, 12065, 56880, 5, 132, 26612, 5, 71577, 2702, 54260, 75290, 4, 657, 142429, 4852, 194, 2808, 17727, 1982, 17727, 35189, 21776, 159696, 25207, 25603, 3056, 20632, 7508, 9221, 6, 23173, 54260, 7511, 37016, 75230, 12483, 4, 506, 64260, 7369, 20033, 95455, 657, 119718, 15907, 34709, 4113, 54745, 137218, 23405, 46053, 506, 120467, 7369, 20033, 874, 54260, 1211, 17190, 148346, 12483, 3069, 8903, 104985, 12483, 292, 2865, 148346, 8580, 6235, 119718, 29766, 15388, 36324, 75230, 16175, 75230, 2882, 163139, 1285, 119055, 48904, 2442, 5, 5, 304, 8903, 506, 6255, 20033, 6, 203326, 874, 71512, 4269, 75230, 4113, 148346, 12415, 35189, 6, 23173, 75230, 2702, 35189, 21776, 159696, 90848, 710, 25603, 3056, 2205, 874, 54260, 1211, 165284, 148346, 6, 23173, 24295, 130991, 95766, 37826 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20033, 95455, 17806, 54260, 2882, 109316, 4151, 71804, 23405, 2702, 2819, 6093, 95455, 7508, 9221, 6428, 54260, 1211, 6, 63188, 12483, 3069, 31467, 139449, 4, 168892, 6, 148346, 8580, 6235, 119718, 29766, 12483, 6, 148346, 1644, 59929, 163139, 1285, 119055, 48904, 2442, 5, 5, 304, 168892, 6, 148346, 8580, 6235, 240863, 12483, 6, 189098, 874, 71512, 37189, 107581, 73375, 35189, 230764, 4113, 54260, 148346, 44478, 2050, 67882, 24152, 6, 23173, 75230, 6293, 5, 758, 7201, 140136, 31467, 14081, 17190, 506, 212915, 148346, 54260, 1470, 54260, 4852, 6, 54260, 20315, 1211, 2932, 91275, 448, 1470, 33809, 1211, 4269, 91275, 506, 168892, 7501, 6, 54260, 2702, 22753, 6235, 240863, 12483, 4838, 6235, 159696, 2882, 4, 199145, 6255, 7501, 6, 186955, 6235, 119718, 29766, 12483, 165592, 6255, 119055, 13845, 6, 23173, 75230, 2882, 32670, 12483, 4838, 6, 100863, 75230, 12483, 1470, 54260, 1211, 2808, 31623, 119718, 26612, 109985, 6, 101328, 136108, 5, 29771, 148346, 6093, 4838, 119718, 21292, 12483, 6, 148346, 15350, 29060, 5, 1470, 75230, 119055, 20616, 1737, 292, 95766, 3069, 20033, 6235, 36419, 42023, 4, 5, 363, 2808, 75230, 119055, 20616, 1737, 168892, 7501, 6, 23173, 143840, 6093, 8903, 240863, 12, 1211, 130170, 1211, 7369, 13159, 13845, 4, 506, 120467, 20033, 136108, 120467, 364, 23173, 1211, 6235, 4484, 71804, 21292, 2819, 6, 117404, 29771, 418, 205026, 3523, 34533, 4838, 144532, 8903, 74, 20616, 1211, 5, 26612, 8903, 25391, 710, 152, 220273, 8580, 40026, 7511, 40096, 5, 6, 148346, 1644, 54260, 710, 418, 36326, 20033, 23050, 4852, 88917, 4, 2451, 1285, 6, 148346, 34533, 4838, 3373, 39083, 48775, 2702, 5, 874, 54260, 1211, 6, 195054, 17645, 101608, 42572, 64260, 4113, 4, 2648, 33809, 7508, 48904, 152194, 81444, 4667, 1751, 75230, 1211, 4269, 64260, 4, 617, 6, 148346, 15533, 2882, 1751, 75230, 1211, 874, 29259, 23269, 4838, 29631, 5, 168892, 151614, 1982, 6235, 90848, 21295, 24464, 6, 90848, 32206, 4838, 177282, 75230, 36909, 12483, 4, 5, 363, 2451, 6, 56052, 4, 3523, 54260, 1211, 4, 6428, 33809, 65146, 2882, 81444, 6, 148346, 1644, 54260, 12483, 38, 5666, 29766, 230764, 36324, 75230, 6, 35465, 2190, 152656, 4, 39384, 506, 32206, 18225, 205026, 6, 23173, 8580, 159696, 73215, 7265, 7508, 33809, 39293, 710, 68558, 6, 124470, 22492, 448, 7369, 54260, 25207, 1211, 5, 2205, 10676, 3523, 238144, 2702, 12483, 68891, 4, 202075, 4231, 12483, 20033, 6, 68558, 758, 1285, 3373, 39083, 2648, 59929, 2702, 39340, 19302, 54260, 35189, 12, 168892, 151614, 148346, 6, 203326, 189631, 21087, 68558, 23050, 25391, 54260, 12483, 10339, 123145, 5, 9424, 75230, 119055, 20616, 1737, 506, 64260, 18225, 205026, 23050, 39293, 15907, 2205, 7265, 12483, 74, 1470, 75230, 119055, 20616, 3069, 31467, 874, 54260, 23269, 6, 101328, 46244, 4, 168892, 151614, 1982, 6235, 28320, 4838, 6, 112452, 12, 1285, 18906, 5594, 506, 4, 2451, 6, 148346, 1644, 75230, 4852, 37189, 54260, 26612, 18225, 37826, 20033, 1751, 75230, 1211, 123736, 2050, 13159, 75230, 25207, 1211, 10069, 6, 162642, 200724, 70361, 3056, 6235, 119718, 29766, 12483, 6, 56052, 16175, 3149, 75230, 1211, 5, 5332, 71512, 1751, 65482, 364, 29766, 5, 2808, 75230, 119055, 20616, 1737, 292, 2808, 75230, 119055, 20616, 24012, 20033, 220273, 4, 10461 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 119718, 120467, 11265, 6, 148346, 8580, 6, 186955, 6235, 119718, 29766, 12483, 5, 418, 2205, 2808, 33809, 1211, 8300, 119718, 26612, 109985, 123736, 46244, 4, 42021, 32206, 18225, 205026, 24464, 41764, 121865, 24244, 16803, 159696, 4, 6, 148346, 1644, 54260, 4852, 36326, 20033, 6235, 119718, 50856, 5, 95766, 3373, 33809, 54574, 6, 23173, 8580, 3523, 33809, 1751, 159696, 25207, 1211, 4, 6, 54260, 1211, 895, 9221, 36419, 110573, 10125, 3131, 36419, 506, 4113, 193042, 36419, 101296, 24621, 4, 6428, 33809, 1054, 13159, 2702, 125523, 6, 9221, 6, 148346, 135118, 12483, 2932, 21292, 12483, 16175, 54260, 1644, 12483, 6, 186145, 46244, 12483, 12, 14856, 46244, 6093, 125523, 24464, 76961, 5, 2808, 75230, 119055, 20616, 1737, 292, 119718, 710, 17824, 75230, 2882, 3056, 6, 56052, 41764, 54260, 1211, 4, 17727, 2808, 75230, 119055, 20616, 1737, 119718, 120467, 6319, 68558, 1751, 75230, 1211, 7369, 59461, 220224, 1211, 4, 6, 5, 418, 2808, 75230, 119055, 20616, 1737, 292, 6, 8580, 364, 32206, 2050, 37826, 205026, 564, 54260, 1211, 6, 137218, 506, 4113, 6235, 226112, 8903, 1211, 4, 75230, 4269, 54260, 2702, 3056, 6, 56052, 3523, 54260, 1211, 4, 3523, 15533, 1054, 48904, 12483, 22753, 37826, 205026, 6235, 506, 40096, 74, 2808, 75230, 119055, 20616, 1737, 1054, 12483, 6, 52480, 54260, 6093, 170479, 20033, 6235, 159696, 1211, 6, 225975, 12483, 4, 165592, 6255, 874, 33809, 4852, 4838, 3373, 39083, 2648, 59929, 220224, 1211, 5, 36324, 6255, 119055, 13845, 220224, 1211, 4838, 3373, 39083, 2648, 40096, 5, 11, 1138, 11, 31, 587, 11, 95094, 6235, 30473, 16747, 4, 56052, 15857, 13982, 4113, 45495, 16932, 199145, 192183, 12483, 20033, 6, 54260, 20315, 1211, 4, 199145, 192183, 12483, 20033, 6, 85744, 4, 109600, 3056, 81444, 4667, 119055, 20616, 20033, 5, 21923, 2205, 4269, 75230, 26, 25603, 4113, 364, 141943, 12, 2442, 9221, 155787, 3523, 54260, 6093, 5, 1054, 54260, 13497, 230764, 1470, 33809, 54561, 6, 148346, 12415, 35189, 4, 20033, 6, 171428, 3373, 39083, 2648, 174121, 62808, 151614, 148346, 12483, 42572, 123073, 22426, 710, 21295, 48342, 6093, 6, 159696, 21295, 5, 5, 304, 117404, 48775, 18225, 205026, 6, 23173, 54260, 1211, 4, 6, 5, 304, 6093, 105235, 1211, 48011, 74, 1054, 54260, 4852, 36326, 20033, 4269, 165592, 33809, 16747, 4, 564, 54260, 1211, 3944, 148346, 6093, 10339, 64260, 6093, 4, 105515, 3373, 12483, 20033, 1470, 75230, 222572, 710, 4231, 210326, 4113, 19302, 54260, 35189, 12, 6428, 33809, 119055, 6093, 16803, 205026, 1751, 75230, 1211, 6, 148346, 21106, 2648, 1470, 75230, 1054, 20616, 41764, 29631, 4, 2808, 75230, 119055, 20616, 21204, 292, 6, 148346, 12483, 3373, 12415, 5, 1982, 205026, 6, 152656, 124724, 4838, 159696, 4484, 38, 5, 710, 119055, 20616, 1285, 3373, 54260, 8903, 6, 101328, 46244, 4, 199145, 16175, 9221, 105884, 12483, 1054, 5, 5, 363, 68313, 4113, 4113, 20033, 23050, 4852, 88917, 4, 874, 54260, 1211, 16175, 54260, 123073, 874, 75230, 6093, 4, 4852, 54260, 4852, 36326, 20033, 6235, 119718, 16747, 6, 68558, 6, 47351, 6, 37016, 74, 62808, 3056, 6428, 29766, 620, 186955, 4, 124724, 3056, 81444, 4667, 6, 148346, 710, 16932, 292, 4852, 6235, 4852, 88917, 38, 18225, 46711, 54260, 2882, 205026, 4838, 159696, 4484 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 2648, 120467, 192183, 12483, 20033, 1470, 5, 36324, 5, 7508, 5, 5, 617, 4852, 15533, 36326, 20033, 6235, 4852, 33809, 16747, 4, 6, 56052, 3944, 148346, 4113, 110573, 10125, 4, 4852, 15533, 36326, 20033, 6235, 4852, 88917, 6, 68558, 6, 47351, 6, 37016, 74, 113889, 4667, 7508, 9221, 21776, 1644, 6255, 6, 148346, 135118, 12483, 14856, 46244, 163139, 125523, 76961, 2451, 30473, 6235, 119718, 16747, 711, 18225, 3373, 12415, 148346, 2702, 205026, 1470, 159696, 4484, 5, 905, 120467, 192183, 12483, 20033, 1470, 5, 36324, 5, 119055, 5, 5, 758, 4852, 54260, 2882, 4852, 36326, 20033, 6235, 119718, 50856, 4, 874, 54260, 23269, 3944, 30750, 1751, 56331, 4, 30473, 2702, 4852, 36326, 20033, 6235, 30473, 16747, 6, 68558, 6, 47351, 6, 7682, 418, 26612, 16175, 54260, 1644, 1054, 29789, 12483, 6, 71804, 4944, 244640, 12483, 4, 4838, 16175, 54260, 1644, 45223, 35465, 6, 238144, 12483, 292, 4852, 15907, 23050, 4852, 88917, 38, 18225, 3373, 12415, 148346, 2882, 205026, 4838, 710, 37016, 5, 119718, 120467, 192183, 12483, 20033, 4838, 5, 36324, 5, 119055, 5, 132, 2932, 12890, 72577, 212915, 4, 123736, 34575, 29766, 4, 119055, 39083, 127684, 16, 26612, 21320, 5, 418, 10069, 3523, 54260, 1211, 73880, 1737, 506, 64260, 205026, 7501, 67882, 24621, 6235, 506, 40096, 1211, 506, 41595, 6, 129891, 6255, 6, 186955, 2205, 2808, 33809, 1211, 8300, 119718, 26612, 109985, 6, 101328, 46244, 4, 56052, 6255, 6, 109995, 6, 59929, 39083, 2648, 59929, 5, 119718, 120467, 170479, 12483, 20033, 45495, 12483, 4, 119718, 120467, 170479, 12483, 20033, 6, 137218, 4944, 244640, 12483, 4, 62808, 64769, 8580, 20033, 2205, 3523, 75230, 26, 36419, 185182, 35465, 62808, 21923, 3373, 39083, 94741, 96986, 1737, 36909, 5666, 24152, 75230, 159212, 2205, 37189, 155, 36326, 364, 141943, 5, 5, 304, 47351, 4231, 12483, 37826, 20033, 23050, 4484, 75230, 159212, 4, 71577, 29766, 364, 54260, 39293, 17645, 4667, 1737, 39293, 4, 12483, 22753, 83066, 6235, 119718, 29766, 12483, 42572, 6093, 2050, 23829, 33809, 21292, 1211, 506, 41595, 36324, 18225, 3373, 36609, 20033, 6, 68558, 26612, 160238, 657, 29771, 710, 48904, 39340, 364, 75230, 104149, 4, 2702, 33809, 104149, 220224, 20033, 6, 109995, 3523, 33809, 75290, 30473, 2702, 5, 119718, 120467, 170479, 12483, 874, 98071, 2442, 16175, 33809, 12483, 4838, 5, 36324, 5, 119055, 5, 1982, 47351, 6, 54260, 1211, 67882, 24621, 37826, 20033, 23050, 4484, 75230, 159212, 4, 4113, 29766, 67826, 159696, 44779, 1737, 39293, 8903, 1211, 22753, 83066, 6235, 119718, 29766, 12483, 42572, 6093, 2865, 1470, 75230, 46053, 11648, 506, 6093, 3131, 109316, 7511, 1470, 33809, 54561, 4231, 33809, 2648, 49209, 17268, 66293, 10339, 39083, 13805, 2865, 75230, 10125, 41595, 36324, 18225, 6, 202075, 20033, 6, 68558, 26612, 59919, 3373, 29771, 9221, 59929, 39340, 3523, 33809, 2702, 13159, 4, 292, 2865, 33809, 104149, 220224, 20033, 42355, 3069, 75290, 30473, 1644, 5, 905, 120467, 170479, 12483, 20033, 45495, 12483, 5, 27, 617, 68558, 6, 109995, 193042, 24621, 3523, 120467, 20033, 6235, 4484, 75230, 159212, 4, 23173, 37016, 109316, 1737, 14004, 2648, 8947, 20033, 6235, 905, 29766, 12483, 42572, 6093, 2050, 710, 10705, 47332, 74, 506, 41595, 36324, 18225, 6, 105515, 20033, 6, 68558, 2702, 39083, 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 ]
[ 125830, 39340, 874, 111007, 9221, 5, 192575, 7369, 20033, 6, 109995, 3069, 75290, 30473, 2702, 5, 119718, 120467, 170479, 12483, 5332, 98071, 2442, 16175, 33809, 12483, 5, 42876, 165592, 874, 98071, 1211, 874, 174121, 37826, 205026, 6235, 36909, 5594, 33716, 4, 95766, 68891, 6, 23173, 12483, 1737, 68313, 2181, 20033, 6235, 119718, 29766, 12483, 42572, 6093, 192494, 24244, 20616, 54260, 13497, 6, 47351, 18225, 42572, 5594, 33716, 205026, 95766, 6, 78683, 905, 23173, 127209, 6, 23173, 54260, 1211, 4, 192575, 8947, 20033, 1285, 49597, 1211, 3069, 75290, 30473, 2702, 5, 119718, 120467, 170479, 12483, 6, 115398, 16175, 33809, 12483, 27, 17727, 5, 418, 168892, 151614, 148346, 1285, 4667, 6235, 5666, 75230, 25207, 1211, 4, 6255, 151614, 148346, 1285, 4667, 6235, 506, 40096, 16, 168892, 151614, 148346, 1285, 4667, 6235, 4852, 75230, 8903, 1211, 42572, 33809, 1211, 874, 54260, 1211, 6, 148346, 2442, 33809, 16803, 74, 4700, 168892, 81444, 5666, 7508, 18167, 4151, 8300, 75230, 8903, 1211, 3069, 31467, 36324, 75230, 41764, 15350, 6, 101328, 46244, 12483, 36909, 33809, 1211, 6, 112452, 6, 29400, 609, 151614, 148346, 6255, 204982, 6235, 45629, 33809, 2702, 2702, 5, 132, 70147, 2808, 4667, 151614, 148346, 4151, 28726, 148346, 2882, 6428, 33809, 170479, 16803, 6235, 42023, 2205, 48011, 4, 2648, 33809, 151614, 16803, 1751, 75230, 1211, 6235, 44478, 13497, 6, 91740, 54595, 1737, 168892, 151614, 148346, 6235, 506, 29771, 159212, 3496, 244640, 26, 25207, 710, 23050, 506, 12483, 6428, 29259, 23269, 77756, 33809, 5927, 21733, 6093, 6093, 5, 13342, 2050, 77208, 151614, 148346, 6255, 4151, 28726, 148346, 2882, 36324, 75230, 4838, 6, 189069, 5, 1737, 5, 363, 36909, 24295, 36909, 10705, 9424, 54260, 26612, 5, 147455, 42572, 171127, 123073, 6, 101328, 46244, 12483, 159696, 1982, 2702, 33809, 6428, 99766, 2205, 1285, 6319, 165592, 23173, 195164, 6, 186461, 12483, 74, 1737, 2808, 33809, 1211, 1285, 1470, 33809, 54561, 123073, 6, 18250, 77525, 4, 163139, 2702, 6255, 21374, 29766, 4, 165592, 6428, 33809, 119055, 119273, 6319, 54260, 1211, 657, 75230, 1211, 6, 99611, 46050, 8903, 1211, 798, 5, 617, 26612, 15857, 27909, 4, 6, 142170, 5594, 2568, 220440, 8580, 2648, 120467, 6235, 148346, 11265, 124724, 7265, 1737, 2808, 75230, 4, 160751, 20033, 1285, 364, 48904, 2442, 19532, 1211, 1751, 159696, 2442, 20033, 3069, 4, 165592, 6428, 33809, 119055, 119273, 42572, 6093, 97594, 49008, 4838, 54260, 2442, 5, 4958, 5, 758, 2702, 159696, 2882, 6, 104378, 4838, 3523, 54260, 2702, 24464, 6, 112353, 4, 159696, 16803, 7746, 6235, 42023, 159308, 24377, 22492, 1751, 203749, 12483, 12, 1737, 905, 119273, 7508, 29766, 7038, 104149, 10676, 3944, 148346, 12483, 4269, 64260, 132025, 8903, 148346, 12483, 6428, 54260, 1211, 2932, 2702, 7758, 4, 292, 36909, 6093, 8903, 2702, 6319, 54260, 1211, 119055, 75230, 3069, 225975, 12483, 5, 1737, 5, 910, 13159, 177466, 6319, 33809, 51723, 4838, 6, 99611, 3120, 6, 112353, 4, 159696, 16803, 42355, 2205, 4838, 17824, 75230, 101608, 3373, 65755, 74, 1737, 4852, 39083, 16803, 33809, 6, 101470, 95455, 15857, 27909, 1644, 2200, 5332, 12483, 6, 68558, 4838, 3523, 54260, 2702, 4, 92500, 6, 94741, 119718, 49008, 7265, 7508, 75230, 2702, 6, 172936, 5, 1737, 5, 966, 2808, 33809, 1211, 6235, 506 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4, 874, 54260, 1211, 6, 108209, 4, 2200, 12, 220224, 6235, 4852, 33104, 95064, 506, 4, 564, 54260, 1211, 21374, 93238, 4, 119055, 2808, 33809, 18225, 119055, 29060, 1285, 4667, 710, 239162, 905, 74, 21204, 37271, 100495, 8947, 3523, 34533, 4838, 21776, 8903, 1211, 4, 119055, 2808, 33809, 8947, 119055, 20616, 2882, 4838, 6, 75230, 16747, 4, 8903, 506, 4, 874, 54260, 1211, 192544, 4, 25933, 33809, 8947, 119055, 29060, 7746, 226112, 49008, 5, 1737, 5, 2702, 20315, 2050, 141879, 1211, 17806, 3131, 119055, 13845, 6255, 124724, 6235, 148346, 12483, 4, 2808, 33809, 1211, 6235, 506, 4, 874, 54260, 1211, 21374, 23847, 4, 119055, 2808, 33809, 18225, 119055, 29060, 1285, 4667, 101328, 8903, 1211, 74, 1737, 119718, 2808, 33809, 8947, 6, 148346, 212484, 2882, 4838, 119718, 157245, 1470, 33809, 1211, 8947, 46711, 137377, 2882, 4838, 21776, 8903, 1211, 4, 8903, 506, 4, 874, 54260, 1211, 21374, 50856, 4, 119055, 2808, 8947, 119055, 29060, 1285, 4667, 226112, 8903, 1211, 5, 1737, 132, 710, 5, 5332, 22426, 7972, 75230, 2050, 4, 119055, 29771, 2884, 4, 1751, 16870, 28726, 89930, 26217, 148346, 5, 16, 17727, 5, 418, 148346, 8580, 6255, 20033, 6235, 36909, 29771, 46244, 12483, 73784, 657, 120467, 4, 148346, 8580, 6255, 20033, 7265, 168677, 4838, 12415, 148346, 6093, 195054, 64071, 1211, 5, 2702, 26, 68313, 6235, 119718, 29766, 12483, 4838, 6235, 2882, 33809, 24621, 1644, 4, 4838, 6, 61397, 75230, 3131, 4, 51723, 37826, 10676, 25093, 2702, 47351, 1470, 4113, 2932, 7682, 13845, 3523, 33809, 8903, 3111, 31467, 96986, 5, 5, 304, 51723, 37826, 20632, 8903, 99611, 12483, 6, 54260, 20315, 1211, 6, 148346, 1211, 710, 26659, 26, 2702, 4, 92500, 18225, 37826, 220224, 4838, 9183, 37016, 8903, 3131, 93449, 74, 2648, 120467, 43649, 29060, 13845, 3056, 5332, 119718, 29766, 12483, 18367, 506, 3131, 42695, 506, 26, 4113, 4, 87311, 48775, 128117, 37826, 8947, 1470, 75230, 2702, 8903, 4484, 33809, 20911, 5, 5, 363, 168892, 151614, 1982, 6235, 2865, 54260, 16667, 4, 6255, 6, 148346, 8580, 1751, 75230, 1211, 6, 54260, 6093, 6, 226085, 292, 506, 29771, 148346, 6255, 205026, 22639, 25207, 45629, 33534, 26, 12483, 15529, 159212, 18225, 6, 109600, 73784, 6, 80453, 98071, 29766, 6093, 12, 88660, 2702, 109316, 2882, 364, 120467, 1982, 33809, 42572, 6093, 36909, 20616, 21295, 711, 5, 617, 506, 120467, 205026, 42572, 6093, 148346, 29060, 12483, 230764, 6, 124470, 123145, 2702, 4, 506, 64260, 5332, 12483, 205026, 6, 23173, 23174, 16870, 4113, 15907, 22639, 19928, 12483, 1211, 163177, 101328, 18583, 4838, 6, 148346, 10125, 6235, 8903, 148346, 12483, 4, 35189, 21374, 49268, 170479, 220224, 1211, 364, 8580, 3373, 28633, 1211, 5, 5, 758, 18167, 151614, 148346, 95455, 21776, 506, 77188, 5, 62808, 6, 99611, 72577, 6235, 119718, 29766, 12483, 74, 20315, 1211, 21923, 6235, 119718, 29766, 12483, 120202, 8903, 39340, 506, 32206, 165592, 75230, 163139, 4838, 42572, 171127, 6093, 6093, 9424, 29766, 1211, 5, 5, 418, 148346, 1644, 54260, 13458, 36326, 20033, 6235, 119718, 93238, 4, 2865, 54260, 1211, 16175, 54260, 123073, 6, 5, 905, 16932, 62808, 3056, 6, 90848, 4667, 119055, 20616, 4, 2442, 9221, 3056, 6, 148346, 710, 16932, 4, 5, 304, 100863, 54260, 148346 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 905, 36326, 20033, 6235, 4852, 33809, 16747, 4, 2865, 54260, 1211, 6235, 7972, 148346, 16932, 42572, 64260, 6093, 2648, 33809, 6428, 48904, 152194, 81444, 4667, 1751, 75230, 1211, 4269, 120467, 4, 2648, 33809, 119055, 6093, 16803, 874, 54260, 23269, 41764, 29631, 12, 5, 363, 55546, 16011, 4852, 36419, 20033, 23050, 905, 33809, 16747, 4, 2865, 54260, 1211, 3944, 148346, 6093, 6, 148346, 15529, 35189, 38, 2648, 33809, 151614, 16803, 6, 99611, 6319, 54260, 1211, 6235, 50853, 4, 119718, 120467, 193042, 92867, 16803, 33809, 4838, 61397, 33809, 2442, 6093, 5, 5, 617, 17160, 54260, 148346, 4852, 36326, 20033, 6235, 4852, 33809, 16747, 4, 109995, 6235, 7972, 148346, 18415, 3373, 159696, 80885, 711, 2648, 4667, 34654, 1211, 6, 90848, 4667, 6, 9221, 6235, 159696, 1211, 35189, 1751, 43178, 82576, 1470, 33809, 1211, 4151, 6, 148346, 13159, 16932, 5, 758, 148346, 7972, 1982, 4852, 36326, 20033, 6235, 46464, 50856, 4, 56052, 3944, 35189, 42572, 4113, 16932, 711, 159696, 2442, 119055, 29259, 2702, 292, 3111, 18225, 1054, 29060, 1285, 4667, 54745, 42023, 7213, 141847, 710, 5, 910, 5666, 7972, 98071, 3111, 36326, 6, 109600, 6235, 119718, 2648, 4, 506, 6093, 3131, 109316, 7511, 194706, 4231, 33809, 20315, 1211, 2865, 54260, 1211, 657, 54260, 4113, 7544, 24621, 711, 159696, 2442, 119055, 448, 292, 2808, 75230, 148346, 3523, 26, 905, 13845, 125523, 98252, 6, 104378, 5, 5, 15770, 54260, 148346, 905, 36326, 20033, 6235, 46464, 50856, 4, 56052, 3944, 148346, 6093, 220224, 20315, 38, 2808, 54260, 1211, 4269, 64260, 163139, 2702, 7511, 18225, 7508, 64260, 7746, 152, 20616, 1211, 125523, 3523, 15435, 29771, 5, 2882, 17160, 54260, 1982, 4852, 36326, 20033, 6235, 4852, 88917, 4, 2865, 54260, 1211, 3944, 148346, 4113, 6, 148346, 29771, 148346, 5, 38, 905, 50856, 163139, 2702, 292, 10918, 1285, 1054, 13159, 2050, 20033, 1751, 75230, 1211, 151614, 148346, 12483, 5, 5, 1644, 100863, 54260, 15533, 18415, 20033, 6, 17645, 75230, 16747, 4, 1982, 54260, 1211, 3944, 148346, 4113, 3523, 10125, 711, 79761, 3056, 4838, 710, 33809, 83182, 6093, 61397, 133190, 24464, 76961, 5, 5, 418, 15350, 29259, 710, 2451, 4852, 36326, 20033, 6235, 119718, 50856, 4, 56052, 15857, 123073, 7038, 16932, 711, 2808, 75230, 119055, 20616, 20033, 74, 2648, 33809, 4269, 21292, 2702, 20033, 81444, 4667, 7265, 148346, 2442, 75230, 2882, 7265, 6, 172060, 16932, 292, 26612, 75230, 55242, 506, 89979, 5, 5, 418, 15350, 54260, 15533, 36419, 20033, 23050, 75230, 2648, 2865, 54260, 1211, 3944, 148346, 6093, 45521, 101608, 38, 2808, 75230, 6, 140746, 23050, 119718, 21106, 150715, 12483, 7213, 20911, 205026, 4838, 4113, 12483, 95766, 215031, 75903, 16932, 292, 2808, 75230, 6, 140746, 6235, 119718, 21106, 2648, 5, 304, 5666, 54260, 4852, 36326, 69715, 6235, 710, 133814, 4, 56052, 6, 17645, 4113, 5, 6, 75230, 4113, 3111, 54260, 159696, 2442, 6235, 4113, 21106, 2442, 711, 51723, 7213, 20911, 205026, 4838, 159696, 46985, 8580, 4838, 163139, 18415, 13754, 5927, 2808, 75230, 119055, 20616, 6235, 119718, 21106, 2648, 711, 2932, 17727, 5, 418, 148346, 7972, 148346, 4852, 36326, 20033, 6235, 4852, 88917, 4, 56052, 6235, 23822, 54260, 4113, 6, 164874, 150839, 120467, 6428, 33809, 151614, 16803, 6, 9221, 163139, 21087, 48350, 6093, 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, 6293, 6319, 48350, 2205, 2808, 75230, 21776, 506, 2788, 50856, 20033, 133190, 506, 120467, 6255, 6, 148346, 8580, 4838, 75386, 6, 61397, 23173, 12483, 95766, 95766, 8300, 119718, 26612, 109985, 6, 101328, 46244, 5, 132, 186955, 6, 148346, 72158, 29771, 119718, 16, 568, 5, 418, 2808, 75230, 3373, 26, 68313, 42493, 37189, 2702, 4, 2702, 68313, 42493, 29771, 6, 112452, 6, 128750, 54260, 6, 97933, 4, 2702, 26, 8903, 506, 2882, 20033, 6, 99611, 2205, 6, 56052, 17190, 148346, 12483, 74, 75230, 4231, 18415, 3056, 20033, 4, 8300, 33809, 6, 148346, 1644, 54260, 148346, 12483, 123736, 42023, 124724, 4, 165592, 16175, 26, 506, 120467, 205026, 18583, 4838, 3373, 39083, 2648, 40096, 120202, 8903, 8903, 148346, 12483, 5, 5, 304, 2702, 26, 36909, 116793, 2882, 42572, 6093, 148346, 54260, 4838, 97816, 4, 905, 120467, 6428, 33809, 3523, 15533, 2702, 42493, 29771, 292, 36909, 147713, 2882, 7746, 20033, 874, 54260, 1211, 6, 88660, 710, 7213, 26612, 710, 18415, 29771, 148346, 6093, 364, 41595, 36324, 6428, 33809, 6235, 506, 15907, 23173, 37016, 230764, 42572, 24295, 6293, 58826, 76216, 93509, 75230, 4, 3944, 33809, 148346, 153222, 96951, 4, 163139, 42542, 6255, 1470, 75230, 2702, 21106, 96986, 32, 5, 363, 2702, 26, 3131, 2702, 109316, 1211, 7746, 20033, 6, 88660, 710, 75230, 2442, 1285, 364, 29766, 10069, 4269, 48904, 26394, 42572, 24295, 6293, 6, 101328, 46244, 4, 87311, 2702, 20033, 6428, 23173, 36909, 12483, 6, 109995, 24012, 25207, 18133, 2702, 54260, 33716, 1211, 165592, 10339, 174763, 2702, 20033, 2205, 4231, 49008, 12, 2808, 75230, 4, 42572, 171433, 710, 12483, 3069, 31467, 34654, 49008, 68313, 81444, 4667, 20033, 3523, 54260, 6093, 11211, 7508, 6093, 16175, 75230, 2882, 5, 5, 617, 2808, 75230, 4, 3373, 68313, 42493, 72577, 4, 36909, 33809, 66293, 42572, 39083, 13805, 2865, 75230, 1644, 36909, 171433, 710, 12483, 3523, 33809, 12415, 49008, 4, 1644, 54260, 12483, 1470, 75230, 36909, 12483, 167048, 75230, 65482, 2050, 21374, 96986, 74, 4484, 33809, 2050, 4838, 506, 6093, 6, 56052, 3944, 148346, 4113, 36909, 506, 13845, 7265, 124724, 5332, 22426, 13159, 58729, 1211, 4, 95766, 657, 64260, 12483, 7746, 6, 148346, 54260, 20315, 6, 103023, 29260, 47351, 5, 5, 758, 30033, 4838, 506, 6093, 6, 109995, 6235, 23822, 54260, 4113, 4, 29257, 6, 148346, 1644, 54260, 1982, 16803, 230764, 4151, 32054, 54260, 4113, 4, 2648, 33809, 6, 202075, 2702, 81444, 4667, 2205, 4151, 364, 54260, 2050, 6, 59919, 148346, 1644, 54260, 148346, 12483, 1211, 2648, 120467, 6, 148346, 13159, 6255, 24012, 7508, 9221, 4, 905, 39083, 2702, 2050, 151614, 148346, 12483, 174538, 54260, 2648, 7265, 20033, 292, 4852, 39083, 16803, 20033, 4838, 6, 148346, 12415, 159696, 28726, 22518, 54260, 148346, 12483, 5, 16667, 81050, 4838, 506, 6093, 3523, 54260, 1211, 6235, 65848, 4113, 4, 2648, 33809, 148346, 1644, 54260, 148346, 16803, 81444, 4667, 1470, 32054, 54260, 4113, 4, 2882, 33809, 20033, 42355, 6, 148346, 145161, 4838, 159696, 13805, 1644, 20260, 12483, 74, 1644, 29771, 9719, 4667, 42572, 33809, 1211, 7508, 9221, 6235, 99611, 12483, 4, 2648, 54260, 1211, 117902, 2442, 23822, 29060, 4, 42355, 22753, 2702, 12483, 4, 17645, 710, 6255, 6, 68558, 7508, 9221, 6, 61397, 58032, 165354 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 34557, 17800, 2050, 42572, 12415, 13982, 18167, 4, 41764, 17645, 65848, 88660, 119718, 16, 87905, 5, 418, 13159, 3056, 20033, 3523, 54260, 2702, 4269, 33809, 2882, 4, 168892, 151614, 148346, 6, 112452, 6, 128750, 54260, 4113, 238419, 4, 292, 13159, 6235, 506, 2882, 16175, 9221, 7243, 2205, 6, 56052, 657, 171428, 74, 9719, 24012, 101608, 3056, 20033, 4, 165592, 6255, 4151, 87311, 42023, 205026, 6, 68558, 124724, 4, 38, 2882, 26, 506, 64260, 1285, 4667, 18583, 3373, 39083, 2442, 40096, 123736, 148346, 8903, 8903, 148346, 12483, 5, 5, 304, 2702, 26, 68313, 4838, 42572, 6093, 8903, 7511, 49008, 4, 95766, 1285, 6319, 165592, 23173, 195164, 21422, 6, 186461, 12483, 95766, 125523, 4151, 8300, 33809, 123736, 42023, 4838, 20260, 40697, 1211, 2819, 75230, 24012, 101608, 3056, 20033, 165592, 6255, 4151, 87311, 42023, 10184, 4667, 6, 68558, 7508, 9221, 18167, 6319, 68558, 42572, 33809, 1211, 124724, 3523, 34533, 6, 75230, 2702, 12483, 5, 363, 9183, 2808, 33809, 2205, 4151, 77756, 1211, 4, 119718, 120467, 37826, 205026, 6235, 119718, 39083, 2882, 5, 132, 21733, 4, 194, 16665, 506, 6093, 3131, 109316, 148346, 54260, 1470, 33809, 54561, 6, 54260, 20315, 1211, 36909, 33809, 16667, 6, 152656, 8580, 114349, 75230, 75386, 5, 418, 165592, 2181, 107776, 42572, 17645, 29771, 2932, 4, 148346, 129071, 18225, 81444, 4667, 82563, 609, 74, 23269, 506, 63532, 18225, 21422, 77756, 99611, 4, 54260, 1211, 1285, 2376, 850, 5, 5, 304, 4852, 6, 150541, 33809, 15907, 32054, 54260, 57277, 710, 2451, 10918, 5666, 186955, 2050, 4, 101296, 4944, 244640, 2882, 18225, 81444, 4667, 21374, 108264, 92605, 33809, 16803, 6, 12483, 1285, 657, 75230, 36909, 12483, 2808, 75230, 6293, 6, 101328, 7511, 13159, 22753, 2648, 24244, 5, 5, 363, 47351, 6, 67767, 107776, 1751, 31623, 33809, 76776, 4944, 244640, 125830, 4, 101296, 4944, 244640, 2882, 18225, 81444, 4667, 220674, 42023, 4484, 54260, 2882, 564, 12483, 21422, 6319, 75230, 109636, 1211, 2808, 75230, 6293, 1470, 33809, 54561, 6093, 874, 22426, 10125, 4, 5, 617, 165592, 10339, 73486, 2882, 6, 128750, 54260, 97634, 2932, 657, 23173, 76776, 4944, 244640, 2882, 4, 2442, 6093, 12483, 874, 54260, 23269, 3944, 109636, 1211, 42572, 93497, 5, 26612, 4944, 244640, 34079, 12483, 6255, 6, 94741, 63020, 3069, 6235, 42023, 4838, 4231, 33809, 2648, 230764, 1751, 148346, 21219, 64260, 4151, 42572, 13845, 2648, 36909, 4113, 69801, 4838, 6, 148346, 29766, 63188, 39340, 6235, 101296, 4944, 244640, 2882, 2947, 2702, 32206, 418, 16803, 67873, 6, 101328, 46244, 3056, 6, 23173, 75230, 2702, 230764, 4151, 49027, 57277, 31249, 91595, 6093, 6, 76776, 148346, 29766, 1211, 51723, 37826, 120202, 8903, 8903, 148346, 12483, 1285, 6, 149364, 119718, 710, 6, 147713, 64260, 4113, 4, 51723, 37826, 22753, 6, 23173, 37016, 2932, 2932, 2702, 105250, 2205, 4151, 43649, 142429, 2882, 2050, 29766, 218241, 13159, 5, 95766, 4151, 43649, 142429, 2702, 3373, 29766, 218241, 13159, 19532, 1211, 4838, 6, 121865, 12483, 6, 212394, 12, 168892, 23050, 506, 6, 23173, 75230, 2702, 1470, 75230, 36909, 26, 1211, 4269, 59929, 7265, 6319, 71512, 2702, 42493, 148346, 37016, 183718, 5, 144754, 6319, 71512, 2702, 42493, 6, 148346, 37016, 84577, 4, 1470, 75230, 21776, 506, 3056, 83066, 133190, 3111 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1054, 120467, 6255, 6, 129891, 6, 186955, 6, 61397, 29766, 12483, 1470, 54260, 1211, 92500, 8300, 48775, 109985, 6, 101328, 136108, 5, 26612, 18167, 6, 186461, 20033, 230764, 6, 146887, 6319, 75230, 39340, 1285, 42572, 21292, 1470, 75230, 2702, 23269, 29659, 2442, 87442, 4, 20315, 2050, 6, 48775, 7511, 12483, 9424, 7682, 137377, 172398, 7265, 26, 1211, 7213, 151227, 3069, 57619, 25207, 13805, 7682, 54260, 2882, 6, 23173, 54260, 1211, 4151, 6, 50273, 29259, 2882, 39340, 2200, 204982, 205026, 6, 75322, 20260, 12, 71616, 2808, 238144, 15857, 78104, 90848, 32206, 78683, 4231, 29766, 45629, 711, 4151, 9934, 61397, 2702, 203749, 2882, 3373, 75230, 1211, 75903, 13159, 5, 148346, 54260, 564, 54260, 1211, 67882, 24621, 7501, 6255, 1470, 54260, 23269, 2205, 212837, 710, 6, 5, 26612, 4667, 23822, 6093, 4, 36909, 171433, 17645, 7213, 20911, 205026, 4838, 159696, 4484, 22639, 448, 8947, 4944, 12483, 42572, 63188, 5, 6, 5, 2808, 75230, 1054, 20616, 4, 874, 75322, 43178, 54260, 4, 24464, 6, 40633, 49008, 6, 148346, 8580, 6255, 4231, 40096, 4, 168892, 151614, 148346, 42493, 6, 112452, 6, 147713, 64260, 4113, 4, 6255, 6, 148346, 8580, 4838, 6235, 23822, 54260, 139365, 39083, 905, 64260, 5, 168892, 6, 186461, 20033, 4231, 75230, 4667, 6, 54260, 1211, 6319, 75230, 28726, 1470, 33809, 1211, 364, 75230, 148346, 7746, 6, 142429, 33809, 6, 148346, 29060, 48775, 92867, 96986, 905, 120467, 18583, 4838, 14856, 20315, 17645, 66334, 119055, 29060, 230764, 20033, 119055, 23173, 96986, 2808, 75230, 119055, 20616, 874, 75322, 76632, 33809, 1470, 5, 36324, 5, 119055, 5, 4231, 168892, 6, 186461, 20033, 230764, 874, 54260, 1211, 6319, 75230, 28726, 4, 6255, 364, 75230, 1982, 205026, 47833, 10918, 6, 148346, 37016, 44478, 12483, 119718, 120467, 18583, 4231, 4944, 54260, 609, 3373, 26, 88660, 1211, 42572, 33809, 1211, 20033, 119055, 6093, 12483, 2808, 75230, 21776, 506, 5332, 75322, 43178, 54260, 5, 5, 168892, 6, 186461, 20033, 230764, 6, 56052, 6319, 75230, 28726, 2200, 364, 75230, 1982, 205026, 109298, 710, 6, 148346, 16870, 135118, 12483, 12, 905, 120467, 18583, 4838, 6, 222572, 109316, 3373, 26, 905, 29060, 21776, 1644, 12483, 125523, 20033, 5666, 5666, 5, 4484, 148346, 1211, 710, 75230, 21776, 506, 67882, 24621, 96951, 47469, 24621, 16747, 13845, 71070, 36076, 5, 14004, 16, 95766, 3373, 174011, 80885, 1211, 6, 101328, 46244, 3056, 6, 23173, 75230, 2702, 4838, 24012, 6093, 2190, 16803, 23173, 165592, 6, 17645, 159696, 35189, 3496, 174121, 189631, 42572, 5594, 25207, 1211, 6, 109995, 6319, 6, 16747, 165592, 75230, 163139, 73784, 1751, 15662, 2882, 95455, 34654, 16747, 5, 87637, 18225, 37826, 205026, 2205, 41764, 121865, 71616, 710, 25603, 6, 23173, 24295, 23269, 36909, 5594, 33716, 506, 64260, 18225, 6235, 8903, 49008, 4838, 6235, 49268, 710, 12, 6, 80453, 45619, 40096, 1737, 2808, 75230, 4, 6, 148346, 12415, 35189, 20033, 55242, 12483, 3373, 39083, 94741, 96986, 4, 62808, 22753, 49008, 21422, 75230, 96986, 4269, 75230, 2702, 26, 2050, 11211, 16747, 12, 101328, 61621, 4838, 506, 448, 71180, 148346, 12483, 4838, 97995, 9221, 73784, 6, 57277, 96986, 4, 62808, 1054, 171428, 3523, 12415, 12483, 20632, 29259, 2702, 26, 2050, 11211, 16747, 5, 2808, 75230, 4, 199145, 192183, 12483, 20033, 15857 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12483, 4, 1470, 75230, 4, 48494, 203232, 192183, 12483, 20033, 2442, 21106, 12483, 4, 91163, 151614, 49008, 42572, 6093, 3131, 22426, 710, 21295, 1470, 48350, 6093, 21776, 75386, 12, 2808, 75230, 5, 1285, 6, 5, 116367, 2788, 6, 226112, 2932, 6255, 230764, 874, 71512, 364, 141943, 4, 165592, 75230, 7544, 7265, 10676, 6, 12130, 21422, 1285, 42572, 9221, 1054, 141943, 5, 2808, 75230, 4, 6, 148346, 12415, 35189, 20033, 21923, 3373, 39083, 36609, 96986, 4, 62808, 48494, 200117, 12483, 42572, 6093, 3131, 22426, 710, 21295, 178766, 21776, 15907, 74, 2808, 75230, 4, 6, 148346, 12415, 35189, 20033, 21923, 3373, 39083, 94741, 28320, 4, 62808, 64769, 8580, 9424, 119718, 40697, 1211, 3523, 75230, 2050, 26, 2050, 185182, 2442, 5, 132, 26612, 5, 4838, 29060, 123329, 16, 41600, 92134, 710, 92605, 7508, 9221, 3523, 34533, 6, 112452, 24012, 1644, 39340, 44779, 4, 168892, 49027, 22753, 81444, 4667, 7243, 39384, 12483, 59094, 36909, 29771, 46244, 6, 23173, 12483, 3373, 171433, 710, 12483, 1285, 49008, 2451, 5, 119273, 2205, 6, 109600, 73095, 95064, 2702, 12483, 5, 5, 304, 4484, 26, 32097, 124724, 3523, 34533, 6319, 54260, 1211, 10339, 159696, 4, 87311, 4667, 1285, 4667, 3523, 34533, 1751, 12483, 74, 4484, 75230, 6293, 20033, 1751, 75230, 1211, 4838, 160238, 67826, 159696, 44779, 2451, 168892, 6, 94741, 63020, 3523, 33809, 42572, 171433, 710, 12483, 6235, 42023, 5, 2702, 4852, 75230, 6093, 2205, 2205, 17288, 5, 10069, 71804, 4, 75230, 16667, 6093, 2205, 2205, 657, 54260, 148346, 13845, 4, 4113, 26, 506, 64260, 123736, 4667, 205026, 3523, 33809, 23269, 12130, 49209, 36909, 33809, 1211, 4838, 710, 33809, 23405, 6, 238144, 148346, 13845, 5, 5, 418, 75230, 2702, 12483, 3523, 77188, 6, 23173, 171428, 4, 68313, 364, 75230, 4944, 12483, 6, 76776, 17800, 64260, 18225, 205026, 4838, 9183, 37016, 23269, 4113, 93449, 113889, 4667, 6, 78683, 119718, 78683, 710, 5, 506, 120467, 2882, 33809, 42572, 171433, 17645, 3523, 91275, 4, 36909, 171433, 17645, 4269, 5666, 4958, 36909, 171433, 17645, 3056, 123736, 2932, 24295, 5, 5, 304, 506, 75230, 36419, 710, 6, 1211, 164863, 49008, 5, 95766, 6428, 18279, 148346, 3056, 1470, 5, 29771, 710, 12483, 506, 64260, 5332, 12483, 46711, 4838, 159696, 1211, 8903, 4113, 93449, 238144, 2702, 42572, 710, 11265, 29771, 17645, 5, 506, 120467, 2882, 33809, 42572, 171433, 17645, 4269, 91275, 4838, 5, 36324, 5, 4231, 5, 363, 1982, 26, 18406, 23050, 905, 13159, 12483, 2205, 6, 137218, 137218, 69452, 4113, 4, 506, 29771, 148346, 6255, 74806, 12415, 148346, 12483, 4838, 4838, 710, 159696, 1644, 4, 4484, 177148, 6, 23173, 54260, 1211, 6, 2050, 171433, 17645, 29789, 2702, 1285, 6, 88660, 137218, 125897, 6, 111179, 159696, 710, 5, 506, 120467, 2882, 33809, 4838, 171433, 17645, 4269, 91275, 5, 5, 418, 2865, 54260, 1211, 6235, 75230, 26394, 1211, 2205, 133190, 2702, 12483, 4, 2648, 54260, 21292, 12483, 4838, 17645, 1751, 65482, 7508, 75230, 4852, 201, 63532, 6, 23173, 54260, 1211, 42572, 171433, 17645, 5046, 189098, 1285, 6, 88660, 47709, 175323, 28726, 364, 75230, 104149, 5, 506, 120467, 2882, 33809, 42572, 171433, 17645, 4269, 91275, 5, 27, 758, 4944, 244640, 26, 148346, 8580, 6235, 30473, 26394, 1211, 2205, 220273, 96986 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5666, 75230, 4113, 12483, 76961, 1751, 65482, 6, 148346, 1644, 75230, 37016, 33809, 2702, 2702, 6, 23173, 8580, 42572, 171433, 17645, 12, 168892, 170479, 6235, 42023, 1285, 49008, 5, 506, 29771, 126934, 42572, 171433, 17645, 4269, 91275, 5, 5, 710, 910, 87637, 21295, 6, 12483, 163139, 2702, 12483, 4, 2808, 75230, 148346, 42572, 171433, 17645, 3056, 3944, 2702, 705, 6093, 7213, 20911, 205026, 4838, 159696, 4484, 4, 159696, 1211, 6, 76776, 49209, 119055, 29060, 292, 85465, 175323, 34079, 42572, 171433, 17645, 4269, 91275, 27, 966, 119718, 710, 21295, 6, 12483, 6, 75230, 2702, 12483, 4, 2808, 75230, 1982, 42572, 171433, 17645, 3056, 6, 69181, 6, 1211, 6093, 6235, 506, 2702, 6235, 22426, 33809, 56169, 1285, 6, 73215, 25207, 44779, 4, 165436, 21292, 109316, 6, 68558, 1054, 29259, 2882, 5, 506, 120467, 2882, 33809, 42572, 171433, 17645, 4269, 91275, 5, 5, 418, 87637, 21295, 6, 72321, 6, 121865, 12483, 4, 2808, 75230, 148346, 42572, 171433, 17645, 3056, 4838, 657, 54260, 2882, 705, 6093, 6235, 506, 2882, 6235, 17268, 56169, 10676, 23292, 79761, 4, 10069, 24377, 6093, 2648, 6, 68558, 4838, 220224, 2882, 5, 506, 120467, 49268, 42572, 171433, 17645, 4269, 91275, 5, 27, 1126, 2702, 26, 68313, 34076, 54260, 4944, 244640, 6093, 3069, 31467, 657, 54260, 1211, 4, 7511, 4151, 16175, 9221, 4, 185758, 6093, 3523, 33809, 23050, 42023, 36909, 171433, 710, 13159, 874, 33809, 16747, 9221, 5, 506, 120467, 15231, 657, 239162, 4269, 91275, 5, 710, 5, 963, 2702, 68313, 209967, 6093, 3069, 31467, 657, 54260, 12483, 4, 95766, 4151, 7369, 2648, 4, 185758, 6093, 3069, 34654, 146887, 4, 2808, 75230, 6293, 42572, 171433, 710, 13159, 6, 88660, 170355, 125897, 506, 29771, 126934, 42572, 171433, 17645, 4269, 91275, 5, 27, 1662, 2702, 68313, 115825, 4944, 244640, 6093, 3523, 33809, 212632, 26612, 6, 100863, 29060, 109316, 109198, 3131, 4, 26, 35189, 3523, 33809, 42572, 6093, 46464, 49008, 148346, 54260, 1470, 33809, 65442, 6, 54260, 20315, 1211, 36909, 171433, 710, 13159, 6, 168104, 13159, 5, 506, 120467, 41643, 42572, 171433, 17645, 4269, 91275, 5, 27, 1530, 2702, 26, 68313, 34076, 54260, 4944, 244640, 6093, 3069, 31467, 26612, 6, 148346, 1644, 29060, 109316, 6, 32206, 155, 23829, 54260, 35189, 3069, 8947, 12483, 36909, 171433, 710, 13159, 6, 78683, 36326, 5, 506, 29771, 126934, 42572, 171433, 17645, 4269, 91275, 7999, 5, 1819, 268, 68313, 34076, 54260, 4944, 244640, 6093, 21422, 212632, 26612, 6, 148346, 1644, 13159, 109316, 6, 91740, 2808, 4, 14004, 35189, 3069, 31467, 1285, 49008, 10069, 39384, 56401, 2451, 26659, 5, 506, 120467, 2882, 33809, 42572, 171433, 17645, 3523, 91275, 27, 2592, 2702, 68313, 115825, 92867, 6093, 3069, 31467, 6, 94741, 119718, 49008, 12, 5, 2808, 122623, 71107, 4, 185758, 6093, 3069, 31467, 1285, 49008, 20315, 2050, 143628, 3131, 12483, 6, 167903, 5, 506, 29771, 126934, 42572, 171433, 17645, 3523, 91275, 27, 97024, 16, 418, 13159, 3056, 115825, 4944, 244640, 4113, 3069, 31467, 6, 94741, 171428, 12, 68542, 2884, 15750, 75386, 4, 14004, 35189, 3069, 31467, 1285, 49008, 10676, 7508, 33809, 2702, 40697, 1211, 6, 167903, 5, 5, 304, 13159, 3056, 34076, 54260, 92867, 6093, 21422, 6, 63188, 12483, 1751, 46545, 109316, 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 ]
[ 45629, 4, 2808, 54260, 35189, 3069, 1285, 49008, 1285, 33691, 69855, 506, 5, 5, 363, 13159, 3056, 24012, 92867, 6093, 3069, 31467, 212632, 4838, 1751, 46545, 109316, 6, 32206, 26, 710, 4, 2808, 54260, 35189, 3523, 33809, 42572, 6093, 30473, 4944, 244640, 8580, 1285, 3373, 39083, 2648, 59929, 95564, 6, 78683, 36419, 5, 5, 617, 13159, 3056, 4269, 54260, 710, 44478, 20632, 220224, 1211, 123736, 42023, 364, 141943, 2451, 2808, 54260, 35189, 3069, 119055, 6093, 12483, 42572, 33809, 1211, 42572, 171433, 77820, 4852, 9221, 4151, 39340, 16667, 5, 1644, 13159, 3056, 115825, 92867, 6093, 21422, 220224, 1211, 123736, 42023, 4838, 6319, 137377, 292, 2808, 54260, 35189, 3069, 31467, 8947, 12483, 1470, 75230, 2702, 42572, 171433, 710, 13159, 16175, 137377, 5, 5, 2702, 13159, 9213, 12, 115825, 4944, 244640, 6093, 20632, 6, 109995, 5, 29771, 42023, 4838, 4269, 29771, 4852, 292, 7511, 35189, 3069, 81414, 20260, 12483, 1470, 75230, 2702, 42572, 171433, 710, 13159, 34076, 29771, 710, 5, 36909, 33809, 66293, 10339, 39083, 13805, 2865, 75230, 1644, 5, 966, 13159, 3056, 6, 100863, 54260, 92867, 6093, 18133, 6, 109995, 123736, 42023, 4838, 9424, 98071, 23405, 15, 8300, 17310, 16, 292, 2808, 54260, 2442, 6093, 3523, 33809, 2442, 6093, 12483, 117902, 7511, 150715, 19302, 23174, 5, 132, 710, 111571, 9174, 33809, 14857, 4231, 142429, 74, 16, 98864, 5, 418, 24295, 76866, 13159, 874, 54260, 13845, 4838, 55242, 1644, 59461, 23050, 506, 63532, 4, 68313, 22753, 6, 99611, 119055, 77188, 6319, 54260, 1211, 29434, 63188, 12, 5, 20616, 1211, 4, 6235, 506, 2702, 7369, 2205, 6, 112353, 6, 23173, 54260, 1211, 4, 95766, 10676, 17824, 13159, 96986, 42572, 63188, 5, 5, 304, 159696, 1644, 4944, 244640, 13159, 11211, 5, 13845, 4838, 55242, 1644, 59461, 6, 20616, 36258, 4, 68313, 22753, 42493, 119055, 77188, 6319, 54260, 1211, 6, 148346, 60071, 42023, 8903, 42023, 6235, 506, 2882, 7369, 2205, 6, 112353, 6, 23173, 12483, 4, 119718, 710, 6, 47351, 123736, 13805, 3069, 31467, 4151, 47552, 64190, 5, 5, 363, 30473, 115222, 506, 33716, 7746, 1470, 75230, 2702, 95455, 67826, 148346, 109316, 4, 92500, 7213, 2882, 7746, 6, 23173, 75230, 2702, 95455, 874, 34533, 74, 8903, 42023, 6235, 506, 2882, 7369, 2205, 6, 112353, 6, 23173, 12483, 148346, 142429, 12483, 7746, 2205, 6, 148346, 167673, 5, 63258, 4852, 161459, 9424, 119718, 710, 2205, 4151, 364, 21106, 148346, 6093, 6, 76776, 4944, 244640, 6, 5, 21106, 4113, 14856, 110970, 12483, 620, 29771, 36909, 12483, 12, 62808, 1470, 33809, 1211, 3373, 75230, 6093, 12483, 21422, 8903, 4944, 26612, 4944, 244640, 2882, 5666, 29766, 2205, 48706, 13845, 3056, 123736, 4113, 12483, 5, 5, 966, 26612, 42572, 63188, 6, 148346, 25207, 16667, 292, 25616, 48904, 75290, 657, 176727, 2205, 6, 148346, 29060, 12, 13159, 22753, 26394, 1211, 97995, 54260, 6, 21106, 18415, 564, 172398, 12483, 92500, 22753, 6, 148346, 25207, 4944, 244640, 12483, 7746, 1285, 17288, 4231, 5, 46053, 6, 238144, 49008, 2200, 71180, 12483, 4113, 4944, 244640, 35596, 7746, 1285, 16175, 9221, 12, 4484, 177148, 6, 23173, 54260, 1211, 4838, 710, 17310, 6093, 212915, 4, 95766, 4838, 7508, 183911, 874, 88917, 9221, 5, 5, 617, 25207, 150715, 6, 99611, 6, 23173 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 2702, 6, 112452, 119055, 29766, 2702, 4, 2808, 33809, 1211, 657, 75230, 159212, 3069, 31467, 6, 109995, 6235, 710, 148346, 18415, 4838, 506, 6093, 148346, 710, 9213, 65442, 6, 54260, 20315, 1211, 36909, 100810, 42572, 39083, 13805, 2865, 75230, 1644, 2451, 5, 8947, 3056, 7265, 124724, 36324, 75230, 620, 4113, 4944, 244640, 2882, 4, 2648, 33809, 3523, 34533, 1285, 4667, 3523, 33809, 20033, 6319, 54260, 1211, 115222, 506, 12415, 5, 758, 159696, 51723, 151614, 126934, 6, 195054, 6, 148346, 2882, 4, 36909, 23173, 42572, 9221, 6, 101328, 46244, 98252, 32, 13159, 12483, 230764, 1285, 23269, 20632, 1470, 75230, 8903, 44779, 92500, 6235, 148346, 230764, 20033, 4838, 6, 98055, 5, 65283, 5, 418, 2451, 6, 159696, 51723, 49027, 12483, 20033, 1285, 49008, 4, 6, 148346, 12415, 35189, 705, 2788, 2451, 10676, 7508, 33809, 2050, 40697, 1211, 6, 133274, 4, 6, 148346, 12415, 35189, 711, 1737, 20315, 2050, 98036, 40697, 1211, 6, 133274, 3056, 24012, 29060, 20632, 2882, 292, 2808, 75230, 4, 7369, 564, 142429, 2882, 7746, 2205, 178766, 6, 148346, 1644, 33809, 2882, 5, 5, 304, 2451, 119055, 10705, 26612, 506, 8580, 42572, 29771, 46244, 12483, 20033, 4, 6, 148346, 12415, 35189, 32, 2788, 2451, 2205, 1285, 7508, 33809, 2702, 40697, 6319, 165592, 23173, 195164, 4, 6, 148346, 12415, 35189, 711, 1737, 95766, 1285, 143628, 36326, 6319, 165592, 23173, 195164, 3056, 3523, 34533, 72577, 155, 2648, 99766, 12483, 81414, 185226, 18225, 7746, 2205, 178766, 6, 148346, 1644, 33809, 2882, 5, 363, 2451, 119055, 2808, 33809, 49027, 12483, 16175, 9221, 3373, 101328, 36909, 12483, 4, 6, 148346, 12415, 35189, 798, 2451, 230764, 6, 75230, 6319, 21106, 18415, 133190, 13159, 4, 6, 148346, 12415, 35189, 711, 1737, 14004, 6293, 1285, 6319, 21106, 18415, 3523, 23173, 13159, 3056, 7243, 20632, 37271, 2648, 99766, 12483, 21374, 506, 21295, 7746, 178766, 6, 148346, 1644, 33809, 2882, 5, 5, 617, 2451, 48494, 203232, 49027, 12483, 20033, 8947, 12483, 4, 6, 148346, 12415, 35189, 705, 2788, 2451, 1285, 42572, 50856, 36909, 54260, 1644, 18415, 121193, 22426, 710, 80885, 4, 6, 148346, 12415, 35189, 711, 1737, 10069, 42572, 6093, 36909, 75230, 1644, 18415, 6, 78683, 172060, 80885, 3056, 24012, 46598, 4269, 33809, 2882, 4, 5, 2648, 99766, 12483, 6, 148346, 65606, 2882, 18225, 7746, 2205, 1470, 33809, 54561, 6093, 6, 148346, 1644, 33809, 2882, 5, 758, 2451, 292, 23173, 1054, 29789, 12483, 119055, 13845, 5666, 20033, 7746, 1751, 203749, 12483, 4, 148346, 12415, 35189, 15, 2882, 2451, 18583, 26, 1211, 143628, 96986, 6, 133274, 4, 6, 148346, 12415, 35189, 711, 1737, 36909, 23173, 26, 1211, 143628, 3131, 12483, 6, 133274, 3056, 7243, 4269, 33809, 2882, 4, 6093, 81414, 185226, 7746, 81444, 4667, 2205, 1470, 33809, 54561, 6093, 6, 148346, 1644, 33809, 2882, 5, 5, 910, 2451, 107824, 26612, 506, 8580, 55242, 1644, 12483, 20033, 42572, 29771, 46244, 12483, 4, 6, 148346, 12415, 35189, 705, 2788, 2451, 21422, 6, 137218, 204403, 7511, 12483, 230764, 6, 112353, 4, 6, 148346, 12415, 35189, 711, 1737, 8300, 33809, 6, 137218, 148346, 171433, 710, 12483, 230764, 6, 112353, 3056, 4269, 34533, 72577, 4, 2648, 99766, 12483, 4269, 34533, 7746, 81444, 4667, 1470, 33809, 54561, 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, 148346, 137119, 5, 2451, 15857, 2882, 75903, 51723, 119055, 29060, 18225, 7746, 1751, 203749, 12483, 6, 148346, 2442, 54260, 6093, 905, 86827, 2451, 6, 189098, 1470, 33809, 54561, 123073, 133519, 4, 6, 148346, 12415, 35189, 711, 1737, 144754, 178766, 4113, 133519, 3056, 7243, 42493, 4, 4852, 54260, 21923, 81444, 4667, 178766, 6, 148346, 137119, 5, 5, 1019, 2451, 6, 33353, 4231, 29060, 18225, 194706, 28798, 148346, 2442, 6, 109995, 4, 78956, 35189, 32, 4, 69829, 2451, 2205, 6319, 21106, 96986, 874, 48904, 50273, 905, 144295, 4, 6, 148346, 12415, 35189, 711, 1737, 95766, 6319, 21106, 96986, 874, 183512, 4852, 50205, 17645, 3056, 3523, 34533, 42493, 4, 2648, 99766, 12483, 3523, 34533, 7746, 6, 90848, 4667, 194706, 4113, 3523, 137119, 5, 5, 1644, 2451, 7265, 21776, 51723, 119055, 29060, 18225, 194706, 28798, 148346, 2442, 6, 8580, 4, 148346, 12415, 35189, 711, 798, 2451, 7265, 6235, 22426, 23847, 18415, 42572, 6093, 2648, 5, 6, 148346, 12415, 35189, 711, 1737, 144754, 23050, 22426, 50856, 18415, 42572, 6093, 2648, 3056, 3523, 34533, 20632, 2882, 4, 4852, 12, 42572, 93497, 51723, 81444, 4667, 178766, 6, 148346, 156822, 5, 132, 710, 5, 6, 97634, 710, 135118, 8580, 4, 3944, 18415, 5, 16, 62155, 26612, 26, 10705, 1982, 5666, 105330, 37826, 194706, 6, 148346, 12415, 35189, 23050, 226112, 36909, 12483, 710, 36909, 2884, 10676, 6, 148346, 2754, 122623, 35044, 69801, 506, 418, 10705, 54561, 6093, 34076, 7682, 151614, 148346, 12483, 20033, 42572, 93497, 1644, 74, 36909, 12483, 4, 29766, 2205, 58571, 63188, 1054, 54260, 617, 5, 10918, 4151, 874, 10125, 25559, 874, 33809, 104149, 20033, 6, 109995, 9721, 54260, 2882, 4, 115398, 1285, 49008, 43649, 186797, 23050, 65848, 4852, 91163, 1285, 49008, 56170, 29434, 54260, 37640, 13497, 6, 148346, 2442, 75230, 2882, 6, 7961, 2808, 75230, 4, 23050, 137218, 50853, 4, 22753, 364, 186955, 18225, 95455, 1470, 75230, 2702, 5, 22426, 30721, 3056, 4838, 17645, 35189, 6093, 6, 128750, 20616, 32792, 4, 92500, 564, 54260, 194706, 3056, 6, 148346, 148346, 151461, 1982, 6, 59929, 66317, 4, 3111, 31467, 4151, 874, 10125, 51437, 4231, 159696, 1211, 124724, 6, 109995, 3523, 166198, 5, 132, 14004, 2882, 36419, 132213, 5, 16, 2947, 5, 418, 117397, 16932, 2205, 4838, 6319, 21106, 18415, 6, 76776, 4944, 244640, 2882, 13342, 1285, 3373, 29771, 30473, 142170, 65146, 6255, 23050, 42023, 12, 26612, 8903, 2702, 188201, 41764, 33809, 54260, 4113, 37826, 205026, 6, 148346, 4113, 8903, 2932, 35596, 4, 95766, 145813, 98071, 2882, 39083, 6, 23173, 29259, 1211, 37826, 18225, 205026, 23050, 3111, 5, 51723, 4838, 10918, 16747, 5, 5, 4113, 95766, 3373, 54260, 2882, 39083, 6, 23173, 8580, 7508, 64260, 18225, 205026, 6235, 5666, 75230, 12483, 4, 95766, 4838, 6, 148346, 29060, 109316, 37826, 18225, 205026, 6235, 28726, 198093, 2648, 119718, 710, 81444, 20911, 75230, 16847, 2205, 4838, 193042, 99611, 23173, 39340, 4, 4852, 29259, 151614, 148346, 12483, 205026, 6, 59461, 29060, 29060, 41764, 33809, 1211, 3373, 75230, 2702, 4, 5, 363, 2442, 40096, 75230, 2882, 36419, 711, 6, 101328, 4, 84475, 3523, 35465, 4, 46598, 3056, 81444, 4667, 20033, 6, 21106, 7611, 22639, 2702, 4852, 2702, 22639, 4113, 3056, 81444, 4667, 20033, 4838, 3373 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12, 42421, 1054, 54260, 1982, 2200, 114955, 4838, 9183, 37016, 13342, 8903, 42023, 5, 5, 617, 56052, 6, 75230, 148346, 3056, 2205, 145813, 15907, 39083, 6, 23173, 164863, 130991, 4, 2808, 75230, 6293, 874, 54260, 1211, 6, 148346, 29060, 109316, 37826, 22753, 7746, 6235, 905, 35596, 23847, 33809, 3069, 31467, 95455, 1470, 75230, 6093, 3069, 31467, 6, 56052, 364, 23173, 26394, 1211, 4, 159696, 16803, 33809, 49920, 12483, 163139, 1285, 44073, 17645, 55242, 56169, 2205, 20033, 5, 22151, 114650, 7511, 64213, 4, 10339, 26612, 148346, 137218, 69106, 5, 16, 65283, 418, 46598, 3056, 6235, 159696, 1211, 132025, 26, 29771, 4113, 4113, 12, 710, 4, 6, 59929, 171428, 4, 35189, 123736, 159696, 5927, 3056, 5, 6, 61397, 12483, 55242, 46244, 1751, 12483, 74, 4, 23269, 114349, 36419, 6319, 75230, 1644, 37826, 205026, 6, 5, 4113, 8903, 8903, 16667, 4, 95766, 145813, 15907, 39083, 6, 23173, 29259, 1211, 42572, 54196, 3373, 12483, 1285, 4667, 4838, 3523, 157245, 5, 5, 304, 168892, 6, 148346, 8580, 2205, 145813, 15907, 39083, 6, 23173, 24295, 130991, 4, 2808, 75230, 6293, 4838, 6, 148346, 29060, 109316, 37826, 18225, 6, 18167, 6235, 147713, 2702, 74, 13982, 29259, 6, 90848, 20911, 75230, 166198, 7265, 4838, 3373, 48904, 15907, 23173, 39340, 4, 4852, 29259, 151614, 148346, 12483, 205026, 6, 61397, 174121, 159696, 2882, 42572, 33809, 1211, 16175, 75230, 2882, 5, 5, 363, 56052, 67882, 24621, 22753, 42572, 29771, 506, 33716, 4838, 159696, 4484, 4, 30473, 6235, 39293, 2932, 35596, 7746, 7265, 20033, 74, 37271, 4852, 5666, 3523, 33809, 42355, 4231, 75230, 6093, 3523, 33809, 6, 56052, 364, 23173, 26394, 1211, 4, 159696, 16803, 33809, 49920, 12483, 6, 75230, 1285, 41764, 55990, 4113, 19302, 71577, 2882, 2205, 20033, 5, 617, 48775, 16932, 29060, 2702, 205026, 711, 6, 101328, 4, 84475, 6, 129891, 4, 2648, 120467, 3056, 16175, 9221, 6, 21106, 7611, 123959, 12, 2808, 29259, 16667, 3056, 20033, 4838, 3373, 142429, 152, 68558, 874, 54260, 1211, 32054, 75230, 2200, 114955, 6, 152848, 39340, 33809, 59461, 1211, 5, 5, 758, 168892, 6, 186461, 20033, 3523, 119718, 21292, 12483, 1285, 6, 218241, 137377, 13159, 4, 25391, 71577, 151227, 12483, 2205, 874, 71512, 1470, 75230, 8903, 1211, 23050, 36909, 1644, 75230, 8903, 1211, 12, 26612, 42572, 93497, 80885, 41764, 55990, 4113, 37826, 205026, 6, 148346, 4113, 8903, 2932, 35596, 292, 25207, 2050, 6319, 137377, 21422, 4151, 7369, 2648, 6235, 8300, 75230, 8903, 1211, 5, 2947, 418, 148346, 54260, 1470, 33809, 54561, 6, 54260, 20315, 1211, 36909, 710, 66293, 6, 2050, 39083, 13805, 2865, 75230, 1644, 5, 2702, 168892, 6, 109995, 6, 109600, 230764, 6, 56052, 42572, 172398, 101608, 4, 95766, 6, 23173, 137377, 6, 98055, 6255, 230764, 4151, 6, 119859, 46053, 168892, 49920, 46440, 12483, 4838, 34654, 114650, 12483, 123736, 25207, 13159, 101608, 4, 51723, 564, 116367, 3496, 75230, 1211, 4838, 159696, 4484, 2205, 9934, 71577, 59929, 5, 5, 966, 168892, 6, 148346, 8580, 6, 23173, 54260, 1211, 2205, 137, 148346, 29771, 710, 155, 6, 130991, 4, 13159, 3056, 6, 61397, 12483, 1470, 165284, 69452, 2200, 4838, 119718, 710, 16747, 74, 10069, 7038, 16932, 7508, 34533, 7746, 3523, 54260, 1285, 364, 29766, 12, 45629, 33809 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5332, 93449, 6, 12483, 3523, 54260, 1211, 1470, 54260, 5666, 148346, 18640, 192544, 5, 1019, 56052, 364, 75230, 6093, 107776, 3069, 20033, 4, 30473, 163139, 1644, 205026, 6, 186145, 36909, 12483, 1470, 75230, 36909, 26, 1211, 6, 99766, 12, 59461, 4, 4838, 506, 54260, 2050, 4, 67882, 24621, 4, 3069, 31467, 1285, 23269, 114955, 4, 18225, 7213, 20911, 1751, 75230, 1211, 6428, 54260, 1211, 67826, 26394, 207748, 2882, 27, 6, 38331, 5, 56052, 7038, 16932, 79982, 3523, 33809, 6, 109600, 5, 30473, 163139, 1644, 205026, 6, 186145, 36909, 12483, 2190, 54260, 26, 1211, 123736, 32206, 74, 30473, 148346, 12483, 6, 101328, 136108, 4838, 3944, 30750, 75903, 36909, 121709, 3373, 2451, 5, 506, 54260, 13497, 6, 148346, 4113, 2932, 69181, 22753, 205026, 1470, 75230, 36909, 8580, 221067, 1211, 6, 99766, 5, 132, 2702, 17645, 65848, 88660, 75230, 5, 16, 56641, 10069, 657, 48904, 5666, 119055, 29060, 1285, 6, 112353, 125523, 6428, 75230, 6093, 5666, 4, 119718, 710, 6, 71804, 23405, 119055, 29060, 7746, 125523, 95455, 6, 148346, 137119, 36324, 75230, 25222, 36419, 5, 75230, 220440, 7038, 104238, 2702, 10339, 33809, 1211, 23050, 148346, 18167, 6, 148346, 6093, 75230, 6093, 12483, 4, 119718, 120467, 22753, 49920, 12483, 24464, 1285, 123073, 114955, 24012, 95564, 54260, 1211, 17824, 21292, 12483, 75230, 220440, 88037, 27119, 2200, 161048, 15050, 21923, 23050, 1982, 18167, 23050, 148346, 7972, 148346, 4113, 2808, 75230, 6293, 220224, 6093, 21422, 148346, 710, 49008, 17190, 148346, 12483, 74, 51723, 37826, 22753, 1285, 874, 114436, 17953, 16175, 75230, 2882, 6235, 65848, 148346, 12483, 95766, 9934, 12, 151614, 148346, 12483, 1285, 6, 128750, 75230, 12483, 6, 112452, 4269, 2702, 42493, 8903, 8903, 148346, 12483, 54260, 2648, 40697, 4231, 33809, 5666, 8903, 30109, 148346, 9134, 4, 2702, 26, 68313, 1751, 75230, 1211, 230764, 1470, 54260, 4667, 4231, 31177, 127209, 75230, 168892, 151614, 6293, 1737, 168892, 6, 140746, 6, 99611, 6, 112452, 77208, 2451, 54260, 2442, 40697, 15622, 5666, 23269, 30109, 148346, 9134, 5, 168892, 6235, 506, 20033, 2205, 3523, 59929, 4, 49920, 6255, 4838, 17824, 75230, 2702, 74806, 12415, 36909, 2884, 4838, 6, 87311, 48775, 128117, 67826, 24621, 4, 23269, 2932, 90848, 148346, 12483, 4, 905, 39083, 2882, 6255, 17806, 3131, 12483, 1285, 7369, 35465, 35189, 14856, 35189, 37826, 6235, 90848, 21295, 133190, 76961, 151614, 148346, 12483, 292, 165592, 75230, 37826, 7369, 20033, 6, 56052, 17190, 148346, 12483, 42572, 6093, 82576, 21087, 710, 210326, 4113, 4231, 33809, 5666, 23269, 30109, 148346, 9134, 1470, 5, 26612, 5, 9183, 5, 2648, 99766, 22753, 56169, 7746, 6, 218161, 123736, 42023, 4838, 36909, 24244, 4, 92500, 6, 148346, 16870, 75230, 77188, 10676, 166464, 6, 109995, 5666, 54260, 1211, 23050, 148346, 14303, 12483, 13342, 10676, 37826, 7369, 4838, 42572, 20616, 44478, 4, 364, 71616, 2648, 120467, 37826, 7369, 6, 148346, 4113, 104378, 6, 148346, 54260, 7508, 75230, 2648, 112711, 26, 16803, 75230, 6093, 12483, 74, 6093, 37826, 3373, 75230, 1211, 14856, 46244, 220273, 219947, 3069, 31467, 151614, 36909, 12483, 4, 4852, 54260, 1211, 17190, 148346, 12483, 3056, 1470, 30682, 1751, 75230, 1211, 42572, 6093, 12890, 5, 2442, 1644, 104238, 1054, 39083, 2882, 1470, 30682, 1285, 6319, 75230, 1644, 6235, 226112, 36909, 12483, 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 ]
[ 119718, 120467, 16175, 75230, 5666, 9213, 506, 2882, 3373, 26, 28726, 148346, 12483, 4, 36324, 7369, 37826, 7511, 2882, 6, 112452, 42572, 21292, 5, 54260, 2648, 40697, 4231, 33809, 5666, 8903, 30109, 5666, 7511, 2442, 27, 2808, 54260, 2442, 9221, 4231, 127583, 136108, 6, 105515, 9213, 46244, 192544, 7508, 6093, 54260, 506, 12483, 4, 2648, 120467, 6, 88660, 120467, 2882, 22753, 120202, 6, 220440, 106, 18273, 2200, 6235, 119718, 16747, 69031, 7265, 6093, 6319, 68558, 42493, 1470, 54260, 50856, 77525, 12483, 4, 2808, 12483, 4151, 60980, 203232, 6, 105515, 119055, 20616, 9213, 46244, 34654, 16747, 5, 92500, 5332, 12483, 22753, 37826, 1751, 75230, 1211, 4838, 1751, 46545, 109316, 7195, 7758, 4, 4113, 12483, 22753, 37826, 1470, 30682, 1751, 75230, 1211, 6428, 43178, 75230, 8903, 1211, 4, 21066, 33809, 34709, 23174, 23050, 506, 63532, 18225, 1470, 30682, 230764, 4151, 6, 112353, 4, 2808, 30682, 1751, 75230, 1211, 14856, 46244, 42493, 18583, 6, 148222, 54260, 8903, 1211, 5, 710, 62078, 36419, 6, 54260, 5666, 23269, 30109, 148346, 9134, 27, 119718, 710, 6, 71804, 23405, 4231, 29060, 125523, 95455, 6, 75230, 105330, 15907, 5332, 15533, 119273, 9221, 49209, 4, 144754, 9213, 506, 25207, 1751, 23173, 36909, 4113, 81414, 2882, 5, 1982, 54260, 155787, 109316, 6, 48775, 7511, 12483, 6, 105515, 8947, 22444, 14004, 7511, 25207, 1211, 292, 51723, 9424, 71577, 2882, 47833, 22753, 95455, 6, 148346, 167673, 5, 159696, 1211, 119055, 29060, 1751, 75230, 1211, 1285, 42572, 65606, 54260, 2882, 132025, 104378, 5, 92500, 22753, 119055, 29060, 190, 6093, 65848, 148346, 12483, 1285, 70695, 76216, 12483, 5, 22426, 8580, 1285, 42572, 95064, 44478, 119055, 109316, 1211, 132025, 506, 75230, 148346, 12483, 6428, 33809, 24621, 128750, 5594, 54260, 2882, 8300, 33809, 6, 201237, 4, 74004, 33809, 1211, 22753, 119055, 29060, 10676, 24377, 22492, 22639, 31249, 17645, 12483, 5, 54260, 12415, 36419, 4231, 17310, 4113, 30109, 148346, 9134, 47469, 68550, 76632, 49209, 16, 2947, 5, 418, 4484, 33809, 2050, 6255, 20033, 6, 23173, 75230, 6293, 1470, 75230, 152656, 364, 75230, 36909, 109316, 4, 101328, 6, 148346, 15533, 2882, 33809, 20033, 4838, 506, 24295, 130991, 32, 1470, 54260, 16667, 4, 9424, 119718, 710, 4, 29434, 54260, 38, 140746, 6255, 6428, 99766, 4838, 45521, 38054, 109316, 2451, 2808, 75230, 4, 163139, 5332, 12483, 38, 2451, 9934, 171433, 3373, 75230, 1211, 5, 62808, 4, 6, 56052, 6, 238144, 148346, 29789, 33809, 5, 159696, 2442, 95455, 42572, 6093, 2648, 109316, 3056, 32, 2451, 95455, 3056, 4838, 15231, 66317, 4484, 33809, 506, 36909, 33809, 1211, 6, 56052, 3373, 59929, 77928, 5, 2451, 1470, 75230, 119055, 20616, 4, 7544, 66317, 17494, 506, 2702, 15907, 36324, 13845, 107581, 9934, 64260, 4113, 44779, 38, 1737, 5, 304, 81050, 6255, 20033, 6, 23173, 8580, 2205, 67826, 148346, 109316, 4, 14004, 66293, 5, 9424, 119718, 710, 5, 29434, 710, 38, 39293, 506, 6, 54260, 4667, 17288, 183216, 4838, 874, 88917, 9221, 109316, 292, 2808, 75230, 4, 163139, 1751, 12483, 38, 2451, 6, 225975, 1751, 75230, 1211, 20033, 5, 6, 56052, 163139, 148346, 76632, 33809, 4, 159696, 2442, 71612, 88917, 9221, 109316, 3056, 32, 418, 2451, 95455, 3056, 4838, 620, 29771, 128750, 37016, 13845, 36909, 2884, 7508, 54260 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1211, 6, 148346, 29771, 148346, 13159, 710, 5, 2451, 1470, 75230, 119055, 20616, 4, 4838, 31249, 29771, 128750, 37016, 13845, 144754, 36324, 10813, 92867, 4113, 16888, 7201, 13159, 38, 1737, 363, 8903, 506, 6255, 21422, 4231, 33809, 2050, 6, 147502, 109316, 2808, 54260, 16667, 4, 9424, 119718, 710, 29434, 8580, 39293, 506, 6255, 6, 186461, 12483, 4838, 364, 15907, 109316, 292, 2808, 75230, 4, 163139, 45521, 1211, 38, 2451, 1054, 171433, 1751, 75230, 1211, 83066, 4, 6, 56052, 163139, 148346, 43178, 54260, 5, 159696, 2442, 48494, 203232, 364, 21292, 109316, 3056, 32, 2451, 95455, 3056, 4838, 620, 29771, 36909, 4484, 33809, 22426, 39340, 4, 36909, 2884, 46711, 1211, 6, 2050, 75322, 13159, 710, 5, 2451, 1470, 75230, 4, 119055, 20616, 4838, 620, 29771, 36909, 4113, 29771, 2865, 39340, 144754, 4838, 710, 13845, 30750, 60837, 42733, 12483, 38, 1737, 5, 617, 8903, 506, 6255, 3069, 6, 68380, 163139, 20260, 109316, 4, 14004, 66293, 4, 3523, 119718, 710, 4, 29434, 710, 38, 418, 29400, 6255, 43649, 20616, 12483, 4838, 117902, 2442, 67826, 159696, 44779, 2451, 2808, 75230, 4, 163139, 1751, 12483, 38, 2451, 6, 225975, 1751, 75230, 1211, 20033, 4, 6, 56052, 163139, 148346, 76632, 33809, 4, 159696, 2442, 1285, 67826, 159696, 44779, 21923, 705, 2451, 81444, 2050, 21923, 4838, 117902, 2442, 7544, 66317, 18415, 22426, 4, 69355, 874, 54260, 1211, 874, 75322, 77928, 5, 2451, 1470, 75230, 119055, 20616, 4, 6, 71577, 29766, 6, 2050, 710, 66317, 18415, 22426, 4, 144754, 36324, 13845, 30750, 145813, 29766, 12483, 38, 4958, 5, 758, 23269, 506, 6255, 21422, 73784, 6, 148346, 135118, 109316, 4, 2808, 54260, 16667, 4, 9424, 119718, 710, 4, 29434, 710, 711, 1644, 176727, 7746, 6428, 99766, 4838, 1751, 159696, 38054, 109316, 292, 2808, 75230, 4, 163139, 1751, 12483, 711, 2947, 304, 506, 6093, 3131, 109316, 148346, 710, 1470, 33809, 54561, 6, 63188, 12483, 105780, 2050, 10339, 29771, 116367, 2865, 75230, 1644, 225975, 1751, 75230, 1211, 20033, 4, 6, 56052, 6, 238144, 12, 64769, 8580, 4, 159696, 2442, 95455, 1751, 159696, 38054, 109316, 155787, 32, 2451, 95455, 3056, 4838, 50856, 75230, 2882, 5, 195164, 6093, 4, 69355, 874, 54260, 1211, 874, 75322, 77928, 5, 2451, 1470, 75230, 119055, 20616, 4, 4838, 6, 186145, 101608, 4, 144754, 36324, 13845, 4944, 244640, 4113, 3373, 90848, 50853, 104149, 5, 1737, 5, 2702, 8903, 506, 6255, 3069, 31467, 3069, 31467, 2050, 6, 148346, 4113, 4113, 13845, 2932, 4, 2808, 54260, 16667, 4, 6, 238144, 4, 29434, 54260, 38, 1644, 176727, 7746, 6428, 99766, 4838, 55242, 1644, 59461, 13845, 292, 2808, 75230, 4, 163139, 1751, 12483, 38, 2451, 6, 225975, 1751, 75230, 1211, 20033, 5, 874, 54260, 1211, 6, 238144, 148346, 76632, 905, 4, 159696, 2442, 95455, 55242, 1644, 59461, 13845, 3056, 32, 2451, 95455, 3056, 6, 93704, 171127, 2865, 75230, 2648, 4, 69355, 6, 56052, 874, 75322, 77928, 5, 2451, 1470, 75230, 119055, 20616, 4, 4838, 6428, 171127, 2865, 75230, 2648, 4, 131445, 4838, 905, 13845, 92867, 4113, 9915, 75230, 26394, 1211, 38, 21204, 132, 710, 23173, 5, 2808, 5, 16, 2808, 111885, 81050, 6255, 6, 23173, 54260, 1211, 2205, 1751, 21087, 148346, 109316, 4, 2808, 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 ]
[ 16667, 4, 9424, 238144, 4, 29434, 29259, 38, 1982, 25207, 6293, 6255, 17288, 183216, 4838, 874, 88917, 9221, 109316, 292, 2808, 75230, 4, 163139, 1751, 12483, 38, 2451, 1751, 119718, 50856, 20033, 3069, 4, 874, 54260, 1211, 6, 238144, 148346, 76632, 905, 4, 159696, 2442, 177157, 88917, 9221, 109316, 3056, 32, 2451, 95455, 3056, 8248, 46685, 2451, 2865, 84577, 13845, 4, 36909, 2884, 874, 54260, 1211, 874, 75322, 77928, 5, 2451, 1470, 75230, 119055, 20616, 4, 4838, 8248, 31467, 16932, 1982, 84577, 13845, 4, 144754, 36324, 13845, 4944, 244640, 4113, 60837, 42733, 13159, 38, 1737, 2451, 5, 147, 105946, 8903, 50853, 7972, 35189, 17727, 5, 418, 506, 77188, 205026, 6, 146598, 3944, 5, 4113, 3373, 69916, 4, 119718, 120467, 6255, 119055, 13845, 1470, 54260, 4667, 6, 225975, 12483, 12, 35189, 41764, 54260, 2882, 76776, 26394, 101608, 3056, 6235, 81050, 12483, 4, 105946, 8903, 50853, 189631, 18225, 9424, 29771, 54574, 12483, 5, 2808, 75230, 4, 121943, 8903, 50853, 4, 1470, 75230, 1470, 75230, 1470, 75230, 4, 119718, 710, 4, 121943, 8903, 50853, 2451, 2932, 29766, 142429, 29771, 75230, 2808, 75230, 2808, 75230, 4, 121943, 8903, 15435, 2451, 148346, 29771, 4852, 36419, 6, 90848, 23829, 75230, 4, 121943, 8903, 50853, 3069, 9424, 29771, 54574, 12483, 5, 35189, 7544, 29060, 76776, 17645, 16932, 3056, 4838, 159696, 1211, 4, 35189, 41764, 63188, 16629, 3056, 6, 130991, 1211, 4484, 177148, 6, 23173, 54260, 1211, 7369, 6, 148346, 13845, 506, 148346, 2754, 105946, 8903, 50853, 3069, 6, 2050, 29771, 506, 49008, 5, 2808, 75230, 4, 121943, 8903, 50853, 1470, 5, 36324, 5, 5, 363, 4484, 177148, 7508, 54260, 1211, 4151, 6, 148346, 13845, 506, 148346, 2754, 4, 4852, 35596, 7746, 9213, 148346, 1211, 6, 148346, 48904, 38249, 68313, 42493, 29771, 6319, 54260, 1211, 121943, 8903, 50853, 292, 101296, 4944, 244640, 2882, 7369, 6235, 119718, 21106, 127731, 75230, 4, 121943, 8903, 5, 2648, 5, 27, 617, 3131, 93449, 6, 23173, 54260, 1211, 10676, 224220, 29766, 29171, 4, 144754, 220224, 1211, 4269, 90848, 148346, 12483, 4231, 12483, 4113, 6293, 68313, 42493, 29771, 6, 112452, 121943, 8903, 15435, 292, 23269, 506, 63532, 97995, 3069, 1285, 6, 148346, 13159, 4113, 137218, 2808, 75230, 5, 121943, 8903, 50853, 5, 27, 758, 4484, 177148, 6, 23173, 54260, 1211, 4151, 224220, 29766, 29171, 4, 2702, 36609, 7746, 1470, 75230, 2702, 165592, 8580, 364, 15907, 109316, 74, 68313, 42493, 29771, 6319, 54260, 1211, 121943, 8903, 50853, 292, 21733, 77188, 7369, 6, 68558, 4838, 6319, 119718, 15907, 109316, 5, 2808, 75230, 5, 6, 127732, 8903, 50853, 27, 18, 21733, 2442, 148346, 2882, 7369, 6, 68558, 4838, 6319, 119718, 15907, 109316, 4, 29771, 4, 121865, 12483, 3056, 215031, 163177, 74, 68313, 42493, 29771, 6, 112452, 121943, 195054, 2442, 292, 2702, 26612, 92867, 2882, 7369, 4838, 6, 2050, 148346, 39293, 4113, 94741, 14088, 5, 2808, 75230, 4, 121943, 195054, 27, 4484, 177148, 6, 23173, 54260, 1211, 4151, 224220, 29766, 12, 7682, 144754, 26, 9721, 54260, 96986, 364, 15907, 13845, 68313, 5, 42493, 29771, 6319, 54260, 1211, 121943, 151227, 2648, 292, 21733, 4113, 148346, 2882, 7369, 6, 68558, 6, 92605, 119718, 15907, 13845, 5, 79761, 95064, 50853, 1470, 36324, 1054 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 23093, 6093, 133190, 3069, 4, 874, 54260, 1211, 6, 212915, 4, 168892, 119055, 13845, 7508, 9221, 5332, 109636, 2050, 6, 225975, 4113, 26, 26612, 42572, 75230, 6093, 71804, 8903, 163139, 109985, 6093, 4, 292, 5666, 29766, 7508, 17800, 8903, 50853, 3069, 9424, 29771, 54574, 12483, 5, 105946, 195054, 2442, 5, 27, 617, 506, 6093, 133190, 3069, 4, 874, 54260, 1211, 163139, 148346, 109316, 4, 168892, 119055, 13845, 124724, 657, 109636, 2050, 6, 225975, 12483, 4, 26612, 193042, 92867, 17645, 710, 6, 172060, 35189, 163139, 109985, 6093, 292, 5666, 29766, 121943, 151227, 2648, 3069, 31467, 9424, 29771, 54574, 12483, 5, 2442, 17188, 93975, 50853, 27, 758, 905, 120467, 3056, 95455, 2205, 6, 119859, 57619, 12483, 5, 2702, 21087, 148346, 109316, 78104, 2882, 1054, 48904, 49008, 4, 10069, 6319, 33809, 4667, 3056, 3069, 31467, 2442, 39083, 12483, 168892, 151614, 148346, 6, 207591, 2702, 199145, 21422, 88660, 1982, 12483, 74, 13159, 1054, 29060, 7746, 6, 115398, 7243, 657, 75230, 49008, 4, 2442, 1644, 6255, 6, 148346, 54260, 6255, 7243, 25933, 75230, 49008, 5, 105946, 71512, 50853, 27, 8903, 506, 2702, 6, 23173, 75230, 2702, 4151, 23050, 10125, 7511, 4852, 5, 119718, 120467, 37826, 7369, 3069, 9934, 29766, 8903, 1211, 4, 186145, 12483, 1470, 30682, 1285, 224220, 29766, 1644, 54260, 710, 4, 225975, 12483, 220224, 1470, 30682, 12, 72577, 5, 29766, 8903, 1211, 38, 79761, 95064, 50853, 4, 1470, 75230, 1470, 75230, 1470, 75230, 38, 2442, 17800, 8903, 50853, 5, 292, 6, 148346, 29771, 39293, 4113, 6, 101328, 38, 105946, 8903, 50853, 10676, 17288, 35189, 5, 105946, 8903, 50853, 10676, 6, 148346, 13845, 4, 2442, 5, 5, 905, 105946, 8903, 5, 2648, 4, 2808, 75230, 1470, 75230, 1470, 75230, 38, 105946, 93975, 66317, 2451, 148346, 50273, 4113, 6, 87311, 710, 105946, 8903, 50853, 2451, 23847, 127827, 29766, 2808, 75230, 105946, 195054, 2442, 21422, 39083, 12483, 5, 5, 418, 4484, 177148, 6, 23173, 12483, 4151, 26612, 75230, 33716, 4, 144754, 4838, 17824, 75230, 2702, 95064, 71804, 16932, 4, 68313, 42493, 29771, 6, 112452, 121943, 8903, 50853, 292, 2702, 29766, 8903, 1211, 3056, 4151, 4838, 92867, 104238, 5, 105946, 8903, 50853, 1470, 5, 36324, 5, 1054, 27, 304, 4484, 177148, 6, 23173, 8580, 4151, 163139, 33716, 4, 144754, 4838, 17190, 6093, 6093, 364, 183512, 4852, 2947, 363, 148346, 710, 1470, 33809, 54561, 4231, 33809, 25207, 1211, 36909, 905, 66293, 10339, 39083, 13805, 2865, 75230, 17410, 8580, 42493, 29771, 6, 112452, 121943, 8903, 50853, 292, 36909, 6093, 4484, 75230, 6293, 6255, 1470, 54260, 4667, 1285, 193042, 23269, 5, 105946, 8903, 50853, 5, 27, 363, 4484, 75230, 2050, 6, 23173, 54260, 1211, 4151, 55242, 171433, 26394, 4, 30473, 2702, 4838, 4269, 90848, 148346, 12483, 6, 105235, 165354, 74, 68313, 5, 76776, 6, 112452, 121943, 8903, 15435, 48775, 63020, 6255, 6, 23173, 75230, 2702, 1285, 6, 148346, 29060, 12483, 5, 105946, 8903, 15435, 27, 617, 4484, 177148, 6, 23173, 12483, 4151, 224220, 29766, 29171, 4, 144754, 26, 1211, 6, 148346, 2442, 54260, 12483, 364, 15907, 13845, 74, 68313, 42493, 29771, 6319, 54260, 1211, 121943, 8903, 50853, 2451, 21733, 43178, 6255, 6255, 6319, 119718, 15907, 13845, 5, 105946, 151227, 2648 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 47469, 119718, 163177, 29771, 208182, 4, 657, 41731, 4852, 5, 194, 418, 4484, 33809, 63532, 6, 23173, 54260, 1211, 4151, 6, 148346, 13845, 506, 148346, 2754, 4, 23269, 506, 36258, 6, 23173, 137377, 1285, 14764, 71577, 4113, 74, 14004, 46244, 6, 36723, 76216, 21295, 6, 109600, 42493, 6, 112452, 121943, 195054, 2442, 2451, 226112, 2932, 6255, 4838, 121865, 1285, 213909, 71577, 4113, 5, 2808, 75230, 4, 121943, 8903, 50853, 10676, 220273, 142429, 29771, 119718, 2808, 75230, 4, 2808, 75230, 4, 121943, 8903, 50853, 10676, 3373, 3131, 59929, 26612, 119718, 2808, 75230, 4, 2808, 75230, 4, 121943, 8903, 50853, 10676, 6, 148346, 13845, 506, 148346, 2754, 4, 2808, 75230, 4, 121943, 195054, 2442, 874, 33809, 4852, 18225, 9424, 29771, 54574, 12483, 38, 304, 4484, 54260, 2882, 19532, 54260, 1211, 4151, 6, 148346, 13845, 506, 17312, 4, 95766, 4151, 11211, 16747, 6, 226112, 98833, 7369, 4838, 26394, 18415, 1644, 74, 14004, 46244, 44917, 76216, 21295, 20033, 42493, 6319, 54260, 1211, 121943, 8903, 50853, 2451, 59919, 4484, 75230, 6293, 6255, 1470, 54260, 4667, 95455, 23050, 175221, 5, 75230, 4, 105946, 93975, 50853, 2648, 220273, 142429, 29771, 119718, 2808, 75230, 2808, 5, 26612, 119718, 905, 5, 363, 4484, 33809, 63532, 6, 23173, 12483, 4151, 6, 148346, 13845, 506, 148346, 2754, 4, 144754, 26, 1211, 4269, 90848, 148346, 12483, 6, 148346, 54260, 4944, 244640, 13845, 74, 14004, 46244, 6, 36723, 76216, 21295, 20033, 42493, 6319, 54260, 1211, 121943, 195054, 45629, 33809, 1211, 9213, 46244, 6, 88660, 92867, 2702, 7746, 4838, 137218, 4944, 244640, 13845, 38, 2808, 75230, 4, 121943, 8903, 50853, 10676, 220273, 142429, 29771, 119718, 2808, 75230, 27, 617, 4484, 75230, 2050, 6, 23173, 54260, 1211, 4151, 6, 148346, 13845, 506, 148346, 2754, 144754, 124724, 6235, 2932, 39083, 16932, 6, 87311, 38054, 12483, 14004, 46244, 6, 36723, 76216, 21295, 20033, 42493, 6319, 54260, 1211, 121943, 93975, 1644, 93509, 7682, 6255, 1470, 54260, 4667, 6319, 26, 2702, 3131, 99766, 33809, 38, 2808, 75230, 4, 121943, 8903, 50853, 220273, 142429, 127827, 2808, 75230, 5, 27, 758, 4484, 177148, 6, 23173, 54260, 1211, 4151, 6, 148346, 13845, 506, 148346, 2754, 4, 92500, 37826, 3069, 20033, 6, 134727, 12, 14004, 46244, 6, 36723, 76216, 21295, 20033, 42493, 6319, 54260, 1211, 121943, 8903, 15435, 4, 225975, 6255, 12, 1285, 121943, 6, 8580, 874, 54260, 23269, 5, 132, 7972, 18415, 16, 2451, 76, 481, 2442, 29060, 161829, 12483, 5, 2808, 75230, 148346, 12483, 68558, 4, 105235, 506, 2882, 4838, 151614, 42023, 12, 8300, 238144, 21374, 126968, 2702, 17288, 183216, 5, 13982, 68558, 4, 21106, 4113, 97816, 30109, 20616, 2882, 7369, 6, 68558, 90295, 165592, 54260, 61397, 16, 13159, 6, 119273, 7243, 6319, 54260, 1211, 3947, 76179, 850, 92500, 6, 225975, 2882, 3523, 12890, 20308, 705, 132, 165592, 54260, 61397, 16, 29771, 2932, 6, 136108, 77188, 8947, 7746, 4838, 68550, 2205, 43649, 33809, 148346, 54260, 6, 76776, 40920, 43649, 20616, 2882, 8947, 2205, 163139, 20260, 13845, 705, 132, 26612, 6, 148346, 48350, 46598, 16, 119718, 710, 16888, 4, 119718, 710, 6, 47351, 1470, 54260, 4, 12483, 17806, 20911, 4151, 75230, 6293, 4, 3056, 8947, 43649, 186797, 9424, 238144, 32, 5, 27, 39, 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 ]
[ 5, 15, 26612, 506, 21106, 148346, 12483, 6, 94741, 4667, 6, 94741, 63020, 18225, 364, 88917, 77188, 7213, 47526, 12483, 4, 94741, 63020, 18225, 3069, 4838, 6, 119859, 57619, 12483, 32, 132, 2932, 29766, 219947, 16, 2451, 59690, 36909, 21292, 364, 15907, 8947, 42572, 9221, 4, 92500, 2205, 7243, 6319, 54260, 1211, 95094, 38, 13159, 37826, 1470, 75230, 4667, 42572, 16870, 53414, 292, 92500, 3056, 3523, 34533, 6319, 54260, 1211, 42572, 75230, 195054, 705, 132, 26612, 36076, 13159, 37826, 7243, 6319, 54260, 1211, 6, 131445, 2200, 8947, 48706, 77188, 4, 13159, 37826, 7243, 6, 112452, 6, 124470, 2451, 609, 1470, 33809, 1211, 8947, 4231, 29060, 4, 13159, 11211, 1470, 75230, 6093, 12483, 6, 2884, 8947, 6, 93497, 3523, 34533, 292, 132, 5, 156104, 26394, 16, 17727, 95766, 6, 189098, 12483, 67882, 24152, 48706, 20616, 2882, 4838, 14856, 110970, 4, 905, 12483, 18225, 204982, 1470, 30682, 2819, 56976, 5, 13845, 16011, 2050, 292, 2865, 54260, 13497, 7369, 5, 132, 26612, 147582, 101296, 1126, 16, 95766, 7265, 12483, 67882, 24152, 43649, 20616, 2882, 4838, 874, 43178, 95494, 2884, 1211, 7508, 75230, 4944, 244640, 77188, 3373, 2702, 186797, 705, 132, 26612, 6319, 75230, 51723, 16, 60978, 148346, 2442, 166464, 3056, 8947, 7508, 54260, 6293, 5, 92500, 24012, 4151, 6, 76776, 4944, 244640, 2882, 292, 4838, 620, 54260, 6293, 705, 905, 26612, 10339, 59929, 37016, 16, 905, 17727, 30473, 148346, 2932, 4269, 118439, 448, 2205, 1470, 54260, 1211, 67826, 148346, 13845, 92500, 76961, 151614, 148346, 12483, 21776, 2050, 55242, 1644, 148346, 12483, 186046, 4667, 32, 132, 26612, 6, 95494, 4944, 244640, 18415, 1644, 21422, 166968, 13845, 89930, 4852, 71577, 21106, 4484, 13159, 4, 3496, 159696, 30750, 44779, 16, 55102, 2702, 75230, 39293, 16747, 118439, 448, 2205, 1470, 54260, 1211, 6, 119859, 33716, 13845, 32, 132, 26612, 6, 148346, 54260, 2882, 167048, 75230, 16, 506, 6093, 3131, 109316, 7511, 1470, 33809, 54561, 4231, 33809, 20315, 1211, 36909, 33809, 66293, 10339, 39083, 13805, 2865, 75230, 1644, 63258, 953, 16, 714, 16, 98594, 17824, 75230, 36419, 6, 148346, 42695, 448, 192183, 12483, 9424, 238144, 19302, 71512, 7243, 1470, 75230, 36909, 26, 1211, 42572, 13845, 2648, 43649, 20616, 2882, 4838, 6, 212915, 292, 6319, 54260, 1211, 42572, 139365, 25207, 4944, 244640, 6093, 2205, 3056, 6235, 148346, 88917, 12483, 4, 35189, 101328, 8903, 1211, 32, 6, 5, 17645, 6, 101328, 46244, 19302, 54260, 4852, 2882, 7369, 7746, 6, 68558, 5, 6319, 54260, 1211, 65902, 127731, 33809, 1211, 3056, 6235, 59461, 2882, 4, 132, 26612, 1054, 29771, 8903, 1211, 16, 15, 26612, 3523, 75230, 2050, 16, 75230, 2200, 364, 120467, 6, 148346, 28726, 16932, 5, 132, 26612, 148346, 9221, 16, 73419, 36909, 9221, 14856, 110970, 12483, 6, 101328, 8903, 1211, 7746, 1470, 33809, 1211, 6, 101328, 8903, 1211, 7746, 4838, 42572, 13159, 109316, 42572, 186955, 6, 23173, 137377, 24464, 6, 94741, 4667, 2200, 92500, 6, 88660, 12483, 7746, 7243, 3496, 244640, 71577, 12483, 32, 119055, 77188, 3069, 31467, 148346, 90848, 4944, 244640, 12483, 4, 2200, 8947, 3056, 7243, 29771, 6, 112452, 6, 202075, 1438, 16, 148346, 6093, 59461, 230764, 4151, 75903, 15907, 1054, 120467, 1054, 39083, 8947, 192183, 12483, 163139, 2702, 6235 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1211, 2702, 4, 132, 26612, 1054, 29771, 8903, 1211, 16, 3069, 31467, 25207, 4944, 244640, 2882, 67882, 4944, 244640, 12483, 3131, 119718, 23173, 7611, 42572, 6093, 3131, 80453, 54260, 2882, 4, 10705, 107182, 14088, 105884, 2882, 8947, 705, 132, 47351, 1470, 29259, 16, 62155, 101328, 17824, 32097, 16, 13159, 6319, 33809, 63532, 3069, 31467, 42572, 116793, 12483, 123736, 42023, 42572, 7972, 195054, 4, 13159, 3373, 75230, 77188, 123736, 42023, 21422, 195054, 4, 952, 16, 16667, 55242, 56169, 7746, 4838, 7511, 35189, 123736, 42023, 6, 124470, 5, 5, 609, 119055, 6093, 6, 226112, 98833, 220224, 12483, 15622, 55823, 4113, 13159, 705, 1751, 3117, 92500, 8947, 6235, 506, 2882, 4838, 905, 37016, 123736, 42023, 42572, 21292, 32, 657, 174121, 6293, 4838, 657, 174121, 6, 5, 2451, 132, 26612, 21422, 69801, 304, 92500, 6319, 54260, 1211, 3523, 64260, 3056, 7243, 29771, 705, 132, 117260, 51421, 26612, 11211, 22426, 18415, 1644, 30109, 75230, 2882, 16, 89647, 60978, 2808, 54260, 59461, 6235, 506, 2882, 2205, 22753, 148346, 12483, 15622, 55823, 17645, 51437, 4113, 4944, 244640, 6093, 11211, 4838, 364, 75230, 4852, 4, 119055, 6093, 8947, 16175, 33809, 2882, 9213, 506, 2702, 133190, 1470, 75230, 2702, 292, 1702, 16, 7511, 35189, 98071, 2932, 163139, 4838, 874, 75230, 4852, 4, 6, 80264, 6, 238144, 49008, 5, 130170, 1054, 120467, 6093, 564, 75230, 2050, 22753, 56169, 4838, 151614, 4852, 4, 30473, 2702, 1285, 3069, 75290, 4, 119055, 12483, 8947, 21776, 2932, 35596, 705, 7511, 16932, 163139, 4269, 21106, 32, 15, 26612, 21422, 148346, 109316, 51421, 2808, 33809, 13497, 6093, 4838, 3523, 59929, 12483, 51421, 26612, 34654, 1211, 16, 77671, 95766, 4838, 115222, 44478, 185182, 98833, 4838, 10339, 71804, 4944, 244640, 18415, 4, 496, 16, 59741, 364, 141847, 21338, 13497, 18583, 90848, 2702, 657, 75230, 159212, 151614, 4852, 2205, 119055, 21106, 2442, 6, 23173, 54260, 1211, 292, 46598, 6, 119273, 163139, 4838, 6, 92867, 6093, 2442, 4, 81414, 159212, 2200, 6, 226112, 15907, 3373, 5, 5, 9934, 75230, 6093, 5, 3373, 54260, 364, 41595, 6093, 2819, 92500, 37826, 1470, 75230, 8903, 1211, 163139, 4838, 42572, 6093, 2648, 4, 2200, 81414, 39340, 16667, 6319, 54260, 5666, 2865, 39083, 7243, 1470, 75230, 2702, 6, 1211, 119718, 15350, 4151, 1054, 21106, 2648, 6319, 33809, 63532, 3523, 54260, 28320, 92500, 55242, 506, 2882, 6, 92178, 26, 1211, 6, 75230, 2442, 13845, 292, 165592, 75230, 163139, 7265, 1285, 1470, 75230, 8903, 1211, 32, 15, 26612, 3069, 23405, 16, 3069, 11265, 2702, 51421, 26612, 6, 148346, 7972, 16747, 42572, 6093, 2648, 16, 82839, 1936, 16, 26612, 25603, 127684, 55242, 506, 2882, 8947, 123736, 159212, 4, 18583, 905, 120467, 6319, 75230, 159212, 1470, 138763, 4838, 657, 109226, 6, 105235, 165354, 32, 63258, 4838, 6319, 54260, 168155, 132, 36909, 23173, 6235, 119425, 16, 2808, 75230, 36909, 26, 1211, 42572, 13845, 2442, 43649, 20616, 2882, 4838, 10339, 48904, 109316, 4, 2200, 4269, 64260, 21374, 5666, 2865, 39083, 7243, 705, 92500, 6, 75230, 39340, 21295, 7746, 4, 132, 4852, 54260, 16667, 97594, 4944, 244640, 12483, 16, 92500, 163139, 39340, 21295, 6, 9221, 4, 92500, 163139, 39340, 21295, 7746, 2181, 42572, 1644, 54196, 123736, 42023, 42572, 7972, 195054, 4, 4484, 54260, 5666 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 90848, 710, 7243, 230764, 705, 3373, 5, 710, 8947, 7508, 75230, 77188, 123736, 42023, 21422, 195054, 4, 122623, 16175, 174121, 16667, 119055, 42023, 2200, 3056, 7243, 34654, 1211, 97995, 159696, 2442, 32, 8947, 17190, 98833, 7746, 163139, 72649, 23173, 4, 710, 25616, 75230, 2882, 16, 92500, 8947, 8947, 20616, 2882, 1470, 75230, 6, 75230, 4838, 6, 76776, 61621, 132, 29257, 6, 21106, 54260, 1211, 51421, 5, 117260, 16, 17748, 418, 506, 6093, 3131, 109316, 119959, 2451, 6, 225975, 42572, 24295, 6293, 119055, 6093, 16932, 7265, 42572, 24295, 6293, 6319, 33809, 12483, 6, 12130, 171433, 506, 75230, 2932, 38, 2451, 19302, 71512, 114955, 6319, 5, 5, 165354, 6319, 54260, 23269, 6319, 33809, 22426, 39340, 17645, 4667, 5, 65283, 2451, 6, 225975, 6, 129891, 119055, 6093, 16932, 7265, 3523, 29259, 1211, 33960, 17017, 12483, 6, 148346, 54260, 2050, 171433, 12415, 5, 32, 2451, 4269, 64260, 6, 29060, 6235, 54561, 4, 23050, 54561, 6235, 49008, 17824, 9183, 12483, 4, 6, 158699, 148346, 1470, 54260, 1211, 4231, 33809, 25207, 1211, 51723, 6235, 148346, 1211, 6235, 50853, 5, 120840, 2451, 6, 225975, 42572, 905, 36909, 26394, 42023, 119055, 6093, 16932, 7265, 42572, 33809, 36909, 26394, 42023, 6, 32206, 12483, 1982, 54260, 2050, 132025, 506, 75230, 5, 418, 2451, 6, 56052, 66846, 124470, 1211, 57689, 24621, 16747, 13845, 7265, 6, 156325, 2007, 850, 11851, 26, 5, 36419, 6, 80146, 4, 9719, 16747, 13845, 67882, 4944, 244640, 12483, 83066, 7265, 29771, 2932, 6, 148346, 6093, 1644, 7265, 2882, 54260, 6093, 12483, 5, 7916, 16667, 42572, 39083, 13805, 2865, 75230, 71804, 21320, 6093, 46050, 4944, 244640, 2882, 6, 23173, 75230, 6293, 1470, 33809, 1211, 43649, 87442, 6, 23173, 54260, 1211, 4, 2808, 33809, 1211, 6, 59461, 36258, 6, 23173, 75230, 2702, 1470, 33809, 1211, 1751, 218241, 13845, 2882, 120202, 2808, 33809, 1211, 46050, 4944, 244640, 2882, 6, 23173, 137377, 32, 132, 92605, 905, 54260, 135118, 20616, 2442, 6093, 4, 7972, 21087, 76776, 4852, 2702, 194, 71512, 53805, 64260, 12483, 5, 2451, 4838, 6, 47351, 2442, 6, 205416, 7511, 29060, 8248, 49008, 6, 112452, 29434, 63188, 5, 2451, 56170, 119718, 120467, 32, 190, 2451, 6, 75230, 1644, 4838, 29434, 63188, 3056, 17806, 149364, 292, 56052, 6319, 33809, 149364, 67882, 4944, 244640, 2882, 18225, 4838, 42572, 141943, 13845, 15, 90848, 50856, 13845, 247, 95766, 4838, 106, 141943, 13845, 6, 88660, 4944, 244640, 2865, 18225, 42572, 13456, 292, 36909, 13456, 6, 88660, 4944, 244640, 2882, 18225, 230764, 4838, 9934, 609, 29338, 2808, 33809, 1211, 4838, 6, 148346, 42695, 6, 205416, 7243, 2205, 6, 109995, 151614, 148346, 12483, 6319, 54260, 1211, 77756, 33809, 5927, 4, 6, 75230, 1644, 3373, 26, 68313, 4838, 22753, 16747, 5, 10461, 2451, 6, 71804, 15529, 120467, 6235, 506, 2882, 6, 47351, 6, 29766, 9221, 47351, 9213, 148346, 6093, 1285, 16175, 9221, 12483, 32, 2808, 33809, 1211, 6, 233364, 2702, 126968, 2451, 14004, 148346, 53414, 119055, 59929, 6093, 705, 4852, 39083, 1285, 6319, 40096, 126968, 6235, 42023, 1470, 54260, 6093, 1285, 16175, 9221, 12483, 4, 2808, 33809, 1211, 7508, 6093, 123736, 12415, 212915, 9213, 148346, 6093, 26, 1211, 1054, 23173, 6093, 32, 6, 7961, 1054, 12483, 4838, 6319, 40096, 126968 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6235, 240863, 12483, 9213, 148346, 6093, 1285, 16175, 9221, 12483, 4, 119055, 39083, 2882, 18225, 22753, 2808, 75230, 36909, 8903, 92867, 71577, 2882, 5, 92500, 1054, 12483, 6, 47351, 123736, 12415, 212915, 119055, 39083, 2882, 6235, 240863, 12483, 9213, 148346, 53414, 119055, 59929, 6093, 4, 1054, 29771, 15907, 1470, 30682, 29766, 23174, 89184, 49008, 2205, 1285, 1751, 18167, 5, 17727, 2451, 6, 71804, 136108, 120467, 43649, 20616, 2882, 4838, 151614, 42023, 18583, 4151, 6, 65442, 36326, 152848, 1470, 33809, 1211, 4838, 123822, 1211, 2451, 36909, 23173, 1211, 39384, 41731, 32, 4852, 39083, 4151, 123822, 1211, 6, 80885, 42023, 186046, 4151, 6, 158969, 141943, 32, 2808, 33809, 1211, 4151, 151614, 42023, 18583, 26, 1211, 62784, 705, 2451, 1054, 39083, 2865, 7508, 6093, 123822, 1211, 74806, 57277, 49008, 18583, 4151, 6, 65442, 36326, 152848, 4, 119055, 39083, 2882, 7369, 3523, 29259, 37271, 148346, 905, 10705, 5, 5666, 65577, 155, 6, 23173, 137377, 8903, 36909, 21106, 12483, 5, 92500, 119055, 39083, 2882, 4151, 151614, 42023, 6235, 29060, 2882, 49008, 18583, 26, 1211, 62784, 4, 119055, 39083, 2882, 7369, 7265, 1285, 42572, 710, 34076, 12483, 1285, 3944, 4944, 244640, 2882, 1470, 75230, 2702, 13845, 120467, 12483, 5, 238144, 1644, 7369, 6319, 68558, 2451, 163139, 36324, 75230, 4151, 88660, 13497, 18225, 9424, 119718, 40697, 1211, 4838, 6319, 40096, 126968, 1470, 33809, 1211, 4838, 6319, 64260, 86733, 95766, 1054, 26612, 104238, 705, 2451, 18225, 3523, 13159, 2702, 6, 148346, 2442, 75230, 2882, 2200, 18225, 67882, 4944, 244640, 2882, 65902, 8903, 6319, 54260, 39340, 44779, 1470, 33809, 1211, 18225, 1054, 23173, 36909, 2702, 13159, 22753, 4838, 39340, 8903, 1211, 12, 3373, 119718, 15907, 2882, 7369, 21422, 1470, 33809, 1211, 3496, 244640, 71577, 2882, 4, 2205, 2181, 4838, 6319, 64260, 86733, 1751, 119718, 15907, 2882, 22753, 3523, 33809, 17537, 42572, 71577, 2882, 4, 3056, 8947, 4838, 6319, 40096, 126968, 5, 17727, 2451, 18225, 6, 225975, 2882, 4838, 102323, 12984, 10676, 17824, 13159, 96986, 6, 186461, 12483, 32, 2451, 119055, 12483, 7369, 163139, 1644, 5, 966, 2451, 6255, 6, 225975, 118692, 6, 68558, 4, 36324, 18225, 170479, 132025, 4852, 239162, 1211, 192544, 64310, 83182, 4, 18225, 170479, 5666, 54260, 2702, 7213, 2702, 12483, 6319, 54260, 1211, 22444, 107829, 8903, 6, 23173, 148346, 13159, 1470, 75230, 152656, 6, 94741, 4667, 5, 5, 2451, 18583, 119718, 120467, 2451, 1054, 2451, 1644, 220224, 6319, 39083, 53414, 7746, 6, 23173, 137377, 5, 17727, 2451, 5332, 12483, 6, 220440, 2050, 6, 48904, 6, 21106, 16932, 6, 212915, 4, 1054, 120467, 37826, 6, 112452, 2205, 9424, 29771, 42023, 7243, 2205, 874, 75230, 1644, 2451, 36723, 76216, 1211, 29659, 23173, 26394, 1211, 705, 159696, 1211, 4838, 506, 33809, 16747, 4269, 21292, 1470, 30682, 4838, 6, 99611, 38, 1126, 16, 2451, 7265, 6, 60071, 6235, 506, 2882, 4838, 77756, 1211, 95455, 200795, 874, 39083, 3069, 31467, 4151, 3523, 10125, 2451, 6, 203326, 1285, 42572, 21292, 5, 2702, 12183, 148346, 710, 1470, 33809, 54561, 4231, 33809, 20315, 1211, 36909, 33809, 13497, 42572, 39083, 13805, 2865, 75230, 1644, 101080, 31467, 13159, 12483, 174332, 850, 5, 50258, 132, 36909, 2884, 6, 71577, 33809, 16847, 222907, 16, 2451, 20632, 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 ]
[ 1285, 19302, 27570, 4, 199145, 6, 56052, 6, 212915, 200284, 20033, 6235, 8903, 49008, 4, 6, 148346, 8580, 6255, 6255, 25093, 31467, 710, 5, 105514, 27, 133190, 95455, 4, 95455, 7369, 22518, 54260, 2882, 230764, 20033, 12, 1751, 46545, 13982, 5, 5, 4484, 4, 5332, 46545, 78104, 127134, 4, 6, 148346, 29060, 6255, 2808, 54260, 4667, 4, 9213, 46244, 170479, 2882, 6255, 2205, 10676, 6, 23173, 24295, 147713, 12483, 5, 1662, 38, 2451, 72577, 6, 87311, 48974, 5666, 4, 6235, 28726, 4838, 25207, 18415, 4667, 6, 49268, 171433, 6255, 5, 2451, 17806, 3131, 20033, 2205, 364, 27, 609, 5, 2451, 874, 54260, 1211, 6, 212915, 37826, 2181, 3944, 148346, 5, 55102, 48904, 123736, 12415, 212915, 37826, 7746, 6235, 4484, 203749, 2882, 18583, 41764, 2702, 3149, 18583, 220224, 1211, 4231, 133814, 4, 10676, 99535, 2442, 12, 2451, 874, 54260, 1211, 6319, 137377, 364, 186955, 8947, 7243, 1470, 75230, 2702, 38, 22753, 83182, 16932, 19024, 60639, 151614, 148346, 6255, 2200, 6, 150715, 8903, 506, 2882, 125523, 215031, 6, 54196, 4, 1470, 33809, 1211, 6255, 6, 148346, 8580, 2384, 21295, 16562, 4269, 39083, 4113, 5, 7961, 21776, 4944, 244640, 12483, 20033, 1470, 75230, 2702, 4, 7508, 120467, 1285, 6428, 23173, 36909, 16803, 6, 21106, 7611, 4, 119055, 13845, 6255, 1470, 75230, 36909, 49268, 710, 148346, 12483, 2451, 39293, 56169, 7746, 4151, 99535, 2442, 4838, 7511, 35189, 2200, 23050, 506, 63532, 1285, 6, 148346, 1644, 54260, 36419, 35189, 2205, 1211, 7508, 183512, 5, 35189, 123736, 12415, 51723, 364, 120467, 7746, 4151, 128750, 20616, 2882, 4, 6235, 2865, 54260, 16667, 2451, 26612, 13754, 2442, 4, 119055, 29060, 7369, 18330, 710, 28714, 9213, 506, 69452, 8903, 148346, 12483, 6, 21106, 218710, 4, 1470, 33809, 1211, 6, 139449, 1470, 75230, 2702, 25207, 4944, 244640, 23269, 5, 2451, 874, 25605, 2451, 26612, 4944, 244640, 2882, 7508, 33809, 148346, 1644, 4, 1751, 18167, 2451, 26394, 42023, 4, 46855, 148346, 97584, 2451, 8300, 119718, 26612, 109985, 4, 42572, 7972, 2702, 2200, 213909, 292, 2702, 29771, 36909, 13845, 2451, 105780, 6293, 4, 6319, 75230, 54574, 12483, 2451, 2808, 54260, 1211, 7508, 33809, 7511, 4, 124724, 95064, 50853, 2451, 22426, 9221, 2808, 33809, 57619, 119718, 26612, 109985, 6, 238144, 1211, 2451, 8300, 119718, 710, 12, 22426, 24295, 6293, 2808, 33809, 1211, 8300, 119718, 183512, 18640, 4, 6, 148346, 2702, 4667, 2451, 6, 64260, 4, 36324, 75230, 2451, 101296, 4944, 244640, 2882, 4151, 3523, 109600, 10676, 3373, 4667, 506, 171665, 1644, 2451, 14004, 56169, 151614, 16803, 33809, 1470, 54260, 1211, 19024, 29400, 4, 45629, 33809, 23050, 1982, 2702, 18225, 4838, 40920, 10705, 5666, 36909, 905, 36909, 147455, 7508, 33809, 148346, 1644, 2200, 42572, 24295, 22426, 10705, 57619, 506, 183512, 18640, 6319, 137377, 7682, 13159, 1470, 33809, 1211, 2451, 51437, 116174, 16932, 1644, 151614, 40920, 33809, 7243, 3069, 31467, 9934, 29766, 8903, 1211, 5, 63258, 8300, 33809, 1470, 54260, 119132, 4, 364, 59929, 37826, 6235, 94741, 159696, 13497, 2205, 6, 8632, 710, 117902, 2442, 6, 124470, 46590, 8580, 4, 6319, 33809, 16803, 3069, 31467, 22639, 6093, 95766, 7265, 12483, 10676, 6, 94741, 119718, 49008, 2200, 6428, 13159, 11265, 2702, 4, 7369, 170479, 1470, 30682, 6, 148346 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29766, 49008, 1285, 221895, 22426, 23173, 6, 124470, 46590, 8580, 5, 2451, 8947, 3056, 81444, 4667, 25093, 31467, 24295, 75230, 124470, 2050, 21292, 84977, 79981, 2451, 36909, 6093, 35596, 36909, 93497, 7746, 4151, 6, 94741, 119718, 61397, 5, 2451, 20632, 4, 6, 148346, 15533, 4151, 25093, 31467, 69689, 31467, 2050, 364, 29060, 6, 23173, 54260, 20260, 33809, 96986, 4, 119055, 13845, 6255, 151614, 148346, 12483, 6, 71804, 23405, 4, 137377, 8903, 48775, 159696, 13497, 5, 65283, 52, 21106, 16175, 119718, 92605, 4, 115825, 3149, 4, 1470, 98071, 4852, 4838, 874, 39083, 6, 130991, 73784, 25093, 31467, 710, 26, 2200, 1470, 30682, 6235, 8903, 49008, 22426, 167673, 13845, 710, 16583, 5, 4151, 25093, 31467, 5, 710, 3056, 36324, 3131, 24464, 1470, 30682, 120202, 8903, 3131, 80453, 109226, 74, 2451, 18133, 78104, 119859, 7611, 22639, 6093, 711, 163139, 42572, 21106, 73215, 124724, 1470, 75230, 2702, 123736, 2050, 905, 113889, 710, 12483, 1285, 6, 148346, 29766, 2648, 4, 8947, 26, 80885, 506, 1982, 81444, 4667, 93205, 60071, 12, 6, 22151, 4484, 149625, 6, 21106, 4231, 138763, 905, 27, 2442, 7511, 2451, 35596, 710, 93497, 4151, 6, 69181, 119718, 92605, 3496, 244640, 710, 186145, 2451, 168892, 151614, 148346, 6235, 2865, 41595, 17824, 29766, 42572, 6093, 125897, 506, 33716, 4, 1470, 75230, 148346, 4151, 21776, 2932, 16175, 3056, 23050, 148346, 75230, 25207, 1211, 6235, 119718, 29766, 12483, 123736, 42023, 6, 5, 6, 5, 29766, 13982, 23173, 6293, 7369, 3373, 57277, 30750, 710, 75230, 4667, 123736, 42023, 4838, 6, 148346, 29766, 2648, 5, 2451, 2190, 5666, 4838, 119718, 98071, 2451, 170355, 98833, 1470, 30682, 4151, 25093, 31467, 98071, 2451, 148346, 15533, 41643, 54745, 4667, 6235, 710, 75230, 25207, 1211, 6235, 119718, 29766, 12483, 2205, 5666, 54260, 42023, 1470, 75230, 4667, 4, 18583, 119718, 120467, 6, 212484, 2702, 33809, 124724, 3523, 54260, 2882, 6, 23173, 75230, 49268, 54260, 12483, 1285, 3523, 5, 42023, 32, 2451, 6, 101328, 4, 25093, 31467, 710, 4, 9213, 46244, 22753, 2702, 6235, 198754, 5, 133190, 199145, 3373, 121865, 9213, 46244, 230764, 4151, 133190, 2648, 25391, 15907, 193042, 39340, 230764, 1285, 9424, 54260, 42023, 27, 62155, 2451, 18583, 90848, 2702, 43649, 20616, 2882, 163139, 13497, 6093, 230764, 34654, 42572, 43178, 82576, 6, 148346, 75230, 46685, 2451, 6, 238144, 1644, 4, 119055, 12483, 4151, 25093, 31467, 74197, 3131, 28726, 75230, 2050, 37826, 6, 148346, 13159, 26612, 36909, 12483, 1285, 6, 159696, 21295, 4, 37826, 7369, 8903, 2702, 71577, 12483, 6, 48904, 26, 4113, 13845, 148346, 75230, 2050, 4, 37826, 7369, 6235, 225975, 2882, 12, 230764, 124724, 119055, 29060, 18225, 67882, 4944, 12483, 4838, 6, 148346, 2442, 4944, 4, 3111, 45629, 40026, 364, 72321, 74, 1470, 33809, 1211, 36324, 75230, 37826, 7369, 6, 148346, 4113, 95494, 36909, 12483, 76961, 2442, 7972, 564, 75230, 46685, 5, 4852, 171428, 6, 130991, 1285, 6, 54260, 39083, 2648, 148346, 710, 46685, 7265, 4838, 6, 134727, 6, 68380, 25093, 74197, 31249, 71107, 12, 163139, 29771, 4852, 75230, 119055, 109316, 1211, 20033, 151614, 148346, 12483, 4838, 506, 7682, 2884, 32, 506, 64260, 22753, 4269, 120467, 3069, 8903, 225975, 2702, 12, 36324, 163139, 13497, 6093, 4, 119055, 12483, 4838, 6, 128750, 33809, 46685, 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 ]
[ 54260, 2648, 119055, 29060, 4838, 506, 54260, 2050, 1644, 54260, 12483, 2200, 119055, 29060, 7746, 6, 48904, 88945, 68959, 21660, 12483, 212632, 2205, 119055, 29060, 6, 225975, 12483, 12, 6, 195054, 75230, 148346, 2882, 3056, 4269, 64260, 119055, 29771, 5, 13159, 3056, 119055, 23173, 21292, 4, 119055, 29060, 9213, 46244, 6, 94741, 87311, 21295, 151614, 148346, 12483, 4838, 33960, 112452, 5, 9213, 148346, 6093, 6428, 37271, 2882, 6319, 33809, 51723, 163139, 13497, 89184, 5, 6, 148346, 75230, 16932, 2200, 43649, 109316, 1211, 7746, 2205, 41764, 43178, 40920, 119425, 5, 55242, 506, 12483, 22753, 4, 36324, 8947, 119055, 23173, 21292, 4, 6, 61397, 12483, 6, 170355, 15435, 4838, 159696, 4484, 5, 3056, 123736, 148346, 6093, 6319, 186955, 4, 43649, 20616, 12483, 220224, 36324, 75230, 6, 101328, 23405, 5, 6, 148346, 15533, 18225, 364, 31623, 23093, 148346, 2702, 17824, 1211, 5, 60978, 159696, 1211, 1285, 6, 159696, 75386, 3056, 23050, 137218, 36909, 12483, 6235, 119718, 29766, 12483, 4, 37826, 4269, 120467, 23050, 57277, 36909, 12483, 47833, 3069, 80453, 5594, 6093, 1285, 212053, 47833, 4151, 113889, 4667, 10676, 14856, 110970, 74, 119055, 12483, 4269, 64260, 37826, 6, 148346, 79238, 71577, 12483, 364, 33809, 50856, 4, 8947, 6093, 6235, 22680, 4113, 98833, 6, 148346, 4269, 120467, 12, 2451, 199145, 119055, 13845, 6255, 6, 80264, 230764, 7508, 6093, 6, 159696, 75386, 32, 506, 64260, 1470, 30682, 4269, 64260, 6235, 172398, 36909, 77188, 12, 2451, 119055, 119273, 151614, 148346, 12483, 230764, 7508, 9221, 364, 23173, 4, 199145, 119055, 29060, 1285, 4667, 1751, 203749, 12483, 4, 119055, 12483, 6428, 231836, 40920, 3523, 34533, 6, 113889, 122868, 12483, 1470, 33809, 1211, 4151, 7201, 23173, 119055, 13159, 21087, 120202, 28726, 67873, 1285, 6, 148346, 29259, 59461, 130170, 1211, 6, 147502, 47833, 159696, 16803, 24012, 1644, 12483, 5, 2451, 163139, 220440, 119055, 13845, 6255, 36324, 75230, 17190, 148346, 12483, 705, 30473, 148346, 4113, 54260, 2932, 6, 101328, 46244, 2451, 215031, 364, 41595, 13456, 17190, 148346, 12483, 38, 4231, 23173, 20033, 3056, 6235, 3111, 2932, 42572, 33809, 710, 26394, 42023, 2451, 4113, 119718, 26612, 109985, 4231, 29766, 4, 2451, 506, 64260, 4151, 22444, 16747, 7746, 6, 239162, 148346, 29060, 12483, 5, 2451, 42493, 292, 37826, 4269, 64260, 18330, 12130, 6235, 159696, 1211, 2200, 6, 148346, 13159, 26612, 36909, 12483, 292, 6093, 2648, 5, 2451, 199145, 119055, 13845, 6255, 6, 80264, 4269, 32097, 4151, 6, 159696, 75386, 32, 37826, 95455, 45521, 38054, 6235, 905, 25207, 2932, 2702, 5, 2451, 119055, 119273, 620, 4113, 109636, 1211, 4838, 119055, 29771, 8903, 1211, 2205, 46050, 8903, 1211, 6235, 2702, 203749, 12483, 7265, 4838, 42493, 3131, 292, 172398, 5, 36909, 77188, 2181, 4269, 120467, 5, 2451, 2205, 163139, 220440, 119055, 13845, 6255, 657, 171428, 32, 292, 37826, 95455, 42572, 6093, 2648, 163139, 35189, 6235, 128750, 172398, 5, 2451, 22753, 23269, 54260, 2932, 6, 101328, 46244, 2451, 215031, 42572, 6093, 166198, 6, 44478, 12483, 38, 3056, 18583, 20033, 6235, 3111, 2932, 9424, 119718, 48904, 54260, 2932, 36909, 24295, 6293, 17537, 5666, 75230, 5666, 54260, 2451, 2442, 64260, 95455, 42572, 6093, 2442, 7746, 6, 120467, 8903, 148346, 29060, 12483, 5, 2451, 119055, 2451, 90848, 2702, 4269, 64260, 6235, 905, 29771 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13497, 1470, 33809, 1211, 6235, 95494, 36909, 12483, 4838, 123822, 1211, 5, 2451, 199145, 119055, 13845, 6255, 3120, 230764, 4151, 6, 159696, 21295, 32, 292, 37826, 7369, 4269, 120467, 6235, 128750, 4113, 98833, 5, 2451, 119055, 119273, 6235, 42023, 1470, 63020, 76961, 9560, 15050, 2205, 3523, 77582, 26, 1211, 2205, 24377, 54574, 6, 159696, 63849, 76961, 13458, 49008, 6, 75230, 99766, 12483, 230764, 124724, 292, 146887, 6, 94741, 75230, 23269, 905, 4, 124724, 119055, 29060, 6, 75230, 1211, 72577, 2200, 119055, 2808, 75230, 1644, 34654, 1211, 6, 5, 43178, 1211, 15435, 23269, 710, 2451, 2442, 33716, 11265, 2050, 4269, 64260, 6, 93238, 35596, 2702, 77188, 92500, 163139, 220440, 6, 159696, 11265, 95455, 33718, 54260, 4231, 76632, 32, 292, 2442, 64260, 4151, 47658, 11265, 2702, 23269, 50856, 4, 2932, 5, 2451, 22753, 23269, 147455, 6, 101328, 710, 2451, 35596, 710, 93497, 1470, 30682, 4269, 120467, 4, 165066, 506, 89184, 29789, 76632, 22639, 4852, 6, 54260, 20315, 1211, 41643, 66293, 117902, 1644, 13805, 11556, 54260, 2451, 3373, 6, 15533, 163139, 7511, 5666, 5, 25093, 74197, 5, 31249, 166617, 2702, 38, 292, 37826, 4151, 123822, 1211, 7746, 23050, 1982, 13159, 12483, 292, 3131, 135118, 20033, 125523, 6, 29060, 7972, 4944, 244640, 4113, 6, 101328, 46244, 5, 17537, 119055, 48904, 12483, 37826, 4269, 64260, 6235, 88660, 13497, 23050, 506, 51723, 125523, 6, 101328, 46244, 12483, 4, 37826, 7369, 1470, 30682, 120202, 23269, 5, 23269, 148346, 12483, 10676, 364, 88917, 2882, 7265, 10676, 6, 59919, 30979, 6, 101328, 46244, 12483, 5, 4151, 2702, 23173, 4, 119055, 12483, 123822, 1211, 657, 172398, 120202, 194885, 30473, 148346, 21660, 18640, 6, 101328, 46244, 57906, 2882, 89727, 163139, 11211, 16747, 2200, 129165, 16803, 163139, 4838, 45521, 38054, 5, 29257, 16, 26612, 4231, 39083, 3056, 6235, 905, 35465, 4838, 17824, 75230, 101608, 123736, 12415, 212915, 4, 7369, 37826, 1157, 13845, 17171, 7243, 6235, 506, 40096, 40096, 29771, 2932, 9213, 25603, 29025, 33809, 28726, 148346, 12483, 1470, 33809, 1211, 3056, 6235, 4852, 13159, 12483, 4231, 216995, 1054, 55687, 2200, 155231, 6235, 159696, 1211, 895, 176368, 506, 5, 13845, 58697, 4, 163139, 4269, 64260, 37826, 6235, 148346, 64260, 12483, 5, 75230, 87637, 20760, 4, 1470, 54260, 1211, 6, 128750, 54260, 15231, 2932, 4, 8947, 3056, 7243, 6235, 159696, 1211, 7265, 199145, 1751, 148346, 609, 21422, 67882, 4944, 244640, 12483, 506, 64260, 95455, 163139, 2932, 1470, 30682, 4838, 75230, 2702, 8903, 65848, 148346, 12483, 12, 170479, 7369, 6235, 15388, 2205, 48706, 64260, 6, 23173, 28320, 364, 183512, 1644, 12483, 26632, 49268, 119055, 29060, 7746, 4269, 64260, 46711, 124470, 2050, 42355, 1470, 33809, 1211, 1470, 30682, 6, 90848, 4667, 5332, 22426, 13159, 3069, 31467, 7213, 165354, 230764, 1751, 148346, 609, 6428, 16667, 7758, 3069, 4151, 506, 21106, 96986, 5, 35189, 6, 29766, 54260, 47351, 3056, 4838, 159696, 4484, 3120, 4151, 364, 448, 7265, 4838, 42572, 6093, 94114, 77188, 364, 23173, 7611, 4, 7243, 26612, 14303, 6, 159696, 8903, 1211, 4151, 6, 80453, 124873, 4, 133190, 6, 159696, 8903, 1211, 6, 148346, 15907, 33809, 1644, 105687, 506, 74, 199145, 7508, 5, 2702, 25093, 31467, 6, 212484, 2882, 1470, 30682, 7511, 16803, 22444, 96986, 5, 2808, 75230, 152656 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75903, 2932, 37826, 7369, 6, 148346, 4113, 8903, 2932, 35596, 874, 70375, 26, 1211, 5, 2451, 874, 120467, 3523, 138455, 39384, 13159, 4838, 119718, 710, 6, 44478, 148346, 29771, 98833, 705, 292, 42572, 25207, 98833, 1470, 30682, 874, 70375, 4, 2200, 7369, 6, 99611, 96256, 75230, 2702, 18583, 1470, 14004, 506, 2702, 23050, 148346, 4113, 4667, 220224, 1211, 45495, 6093, 6, 148346, 710, 16932, 364, 23173, 7611, 5, 2451, 34654, 1211, 7243, 874, 54260, 1211, 8248, 31467, 42023, 2451, 65848, 2702, 2702, 9213, 506, 2702, 874, 70375, 2451, 2648, 29771, 151614, 16803, 33809, 4838, 55242, 39340, 1644, 47833, 87311, 2702, 1285, 119055, 119273, 119055, 109316, 1211, 4, 119055, 29060, 124724, 95455, 55242, 39340, 1644, 6235, 148346, 12483, 1470, 33809, 1211, 1470, 75230, 148346, 8947, 12483, 122780, 2568, 7972, 13982, 1211, 159696, 2882, 124724, 6, 148346, 54260, 4852, 16175, 33809, 1211, 4, 170479, 16803, 33809, 6, 225975, 12483, 12, 55242, 39340, 1644, 23050, 56417, 1470, 30682, 38, 292, 119055, 29060, 8947, 1470, 30682, 41764, 54260, 1211, 13342, 23269, 124470, 96986, 5, 35189, 123736, 12415, 212915, 37826, 6235, 3111, 31467, 51723, 95455, 55242, 39340, 1644, 1470, 33809, 1211, 37826, 22753, 23269, 6, 101328, 46244, 12483, 120202, 8903, 28726, 148346, 2882, 95766, 15750, 25391, 1470, 33809, 1211, 2205, 110573, 28317, 4, 77756, 33809, 5927, 6235, 101296, 4944, 244640, 2882, 114955, 1470, 33809, 1211, 192544, 2451, 16580, 83182, 2808, 33809, 1211, 21374, 5666, 2865, 39083, 42572, 33809, 1211, 6, 112452, 6, 89930, 1470, 33809, 1211, 41764, 33809, 1211, 6, 97925, 6, 13720, 58758, 4269, 34533, 6235, 119718, 10705, 16803, 5, 6, 121865, 15289, 4231, 49268, 8580, 75230, 1982, 13159, 292, 165592, 4838, 710, 33809, 2648, 119055, 77188, 21776, 4667, 5, 42572, 6093, 8903, 16803, 7369, 6, 68558, 6, 21106, 7611, 2181, 3056, 3373, 75230, 1211, 6, 48904, 31249, 18415, 104038, 292, 7369, 37826, 42572, 6093, 8903, 2702, 12483, 6, 68558, 18330, 5594, 26, 1211, 3069, 31467, 1211, 4838, 220440, 33809, 6, 68558, 212632, 37826, 7369, 1470, 75230, 5, 36909, 6093, 8903, 2702, 12483, 5, 36909, 23173, 26, 1211, 43649, 23173, 148346, 12483, 37826, 7369, 6235, 506, 21292, 12483, 1285, 23269, 4231, 142144, 2702, 1054, 18225, 170479, 1470, 30682, 95455, 39293, 39340, 1644, 7265, 8903, 148346, 12483, 2205, 6, 228605, 6, 23173, 29259, 1211, 292, 8947, 170479, 1470, 30682, 7508, 174121, 905, 12483, 10339, 33809, 1211, 874, 44779, 506, 86270, 5, 10069, 114955, 151614, 148346, 12483, 8947, 1470, 30682, 3069, 31467, 7972, 148346, 6235, 2882, 33809, 1211, 2205, 1054, 12483, 4151, 41545, 4667, 506, 86270, 37826, 2808, 30682, 6, 139449, 42572, 25207, 8903, 1211, 2451, 74680, 1751, 18167, 705, 506, 64260, 7369, 7243, 6235, 172398, 710, 77188, 2205, 23050, 6093, 93975, 1211, 4231, 2451, 6, 212484, 205026, 6, 104985, 77525, 711, 6255, 151614, 148346, 205026, 5332, 75230, 1211, 6235, 3111, 31467, 2932, 132025, 8903, 7972, 96986, 230764, 6, 56052, 7972, 148346, 4113, 5, 35189, 41545, 4667, 506, 2648, 75230, 506, 37826, 9213, 506, 2702, 132025, 6093, 7243, 120202, 8903, 2702, 25207, 96986, 1470, 33809, 1211, 5950, 7611, 70845, 14004, 148346, 6093, 8903, 128750, 4113, 98833, 81444, 2882, 1470, 54260, 2932, 65482, 6, 113889, 4944, 75322, 39083, 1470 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33809, 1211, 6, 113889, 4944, 75322, 39083, 2451, 74680, 3373, 67283, 705, 292, 35189, 4231, 33809, 2648, 3056, 6, 148346, 15533, 6235, 905, 29766, 12483, 2205, 6235, 8903, 49008, 4838, 74806, 12415, 152, 2451, 55242, 39340, 1644, 4, 23050, 56417, 1470, 30682, 711, 292, 95766, 6, 148346, 21106, 2648, 3056, 4151, 3373, 17410, 4667, 506, 29257, 51437, 6, 23173, 155, 1211, 2205, 55242, 39340, 17410, 75230, 1982, 12483, 4, 2205, 364, 52480, 13845, 4, 42572, 20961, 26, 1211, 110573, 96743, 506, 148346, 61722, 4, 3056, 6235, 4852, 13159, 12483, 7508, 6093, 4269, 48904, 89930, 6, 17312, 8580, 620, 73095, 506, 1470, 33809, 1211, 6235, 159696, 33716, 1470, 75230, 7201, 26, 1211, 16175, 17410, 4667, 506, 86270, 7265, 220224, 1211, 193012, 192956, 2884, 7508, 71577, 99766, 6, 5, 5666, 29766, 55242, 43178, 215206, 4, 36324, 7369, 6319, 33809, 56169, 5332, 22426, 13159, 3523, 34533, 364, 41595, 3069, 31467, 6, 63188, 23050, 29659, 710, 82576, 97816, 4, 37826, 35189, 25093, 31467, 9416, 5, 35044, 2648, 73697, 4838, 90848, 150020, 13159, 93449, 10676, 41545, 4667, 5, 2451, 710, 148346, 69859, 22753, 2702, 26, 1211, 6, 38054, 8300, 4667, 2932, 39248, 710, 69859, 4, 220224, 21106, 12483, 6235, 75230, 29766, 2442, 1054, 6093, 18406, 5, 6, 74004, 33809, 4151, 16175, 17410, 4667, 5594, 2442, 31529, 3056, 6, 29400, 23174, 4113, 12483, 5, 4852, 54260, 6319, 33809, 51723, 3523, 33809, 6, 68380, 6, 228605, 1470, 33809, 1211, 6, 148346, 2442, 171428, 10676, 6, 54260, 2648, 12, 25933, 33809, 4151, 874, 23829, 4667, 506, 134464, 68313, 292, 6, 35596, 149364, 2882, 7369, 22753, 7243, 4, 6, 212484, 12483, 22753, 1470, 30682, 7243, 120202, 6, 113889, 4944, 75322, 39083, 1470, 33809, 1211, 6, 113889, 4944, 12483, 2882, 39083, 2451, 159696, 33716, 4231, 114436, 6, 148346, 15533, 2200, 204982, 6235, 89184, 2451, 55242, 39340, 1644, 4, 23050, 56417, 1470, 30682, 38, 68313, 7508, 6093, 41545, 4667, 9719, 4944, 14081, 19532, 54260, 1211, 2205, 55242, 39340, 1644, 5, 119718, 710, 4151, 41545, 4667, 67223, 117997, 37826, 8947, 4151, 39293, 42023, 3056, 7369, 6, 23173, 75230, 6293, 2205, 364, 52480, 13845, 6, 23173, 8580, 2808, 33809, 1211, 9213, 148346, 6093, 8903, 8903, 148346, 12483, 95455, 10676, 6, 148346, 2754, 122623, 620, 6, 98683, 5, 8300, 75230, 2702, 12483, 6, 148346, 2754, 122623, 620, 6, 98683, 3056, 6235, 4852, 13159, 12483, 18330, 65405, 2205, 37826, 7746, 6, 148346, 26612, 15435, 54745, 2451, 87311, 506, 13497, 4, 36324, 95455, 37826, 7369, 4838, 874, 39083, 4838, 710, 33809, 2442, 9213, 148346, 6093, 8903, 35596, 2702, 77188, 4838, 905, 26612, 55242, 39340, 1644, 5, 1470, 33809, 1211, 7369, 37826, 4, 4113, 3111, 51723, 4151, 1644, 75230, 148346, 76632, 2702, 2200, 3056, 6, 186955, 1211, 6, 23173, 137377, 3069, 2702, 15622, 2442, 23050, 90848, 136108, 7508, 6093, 12483, 5, 35189, 217284, 37826, 1470, 30682, 123736, 148346, 6093, 1751, 75230, 1211, 3523, 34533, 4151, 88660, 13497, 2205, 7265, 4231, 13159, 4, 874, 120467, 18225, 13982, 77188, 1470, 30682, 6, 148346, 3149, 66293, 10676, 6319, 137377, 37826, 7369, 6235, 8903, 148346, 12483, 4838, 61397, 710, 12, 2451, 55242, 39340, 1644, 4, 23050, 33809, 2050, 1211, 2451, 92500, 18330, 5594 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3056, 1470, 75230, 4667, 6, 23173, 8580, 2205, 55242, 39340, 1644, 5, 36909, 33809, 1211, 6, 94741, 87311, 21295, 6, 68558, 6, 176727, 95836, 5594, 2205, 55242, 39340, 1644, 2205, 6319, 68558, 3523, 34533, 6, 104378, 5, 63258, 2808, 75230, 152656, 6, 21292, 16011, 37826, 6235, 47709, 54260, 13497, 4838, 710, 23173, 141943, 23173, 4, 5332, 37826, 6235, 506, 40096, 4838, 5, 14004, 8903, 1211, 364, 62763, 31467, 4113, 4, 4838, 6, 175483, 13845, 4838, 6093, 2200, 6235, 506, 40096, 32054, 124873, 6, 148346, 12415, 15662, 2205, 6, 148346, 148346, 104985, 34671, 5, 3056, 7369, 7746, 8903, 4852, 13159, 12483, 657, 48904, 8903, 9424, 54260, 2882, 564, 111179, 119055, 148346, 2200, 3523, 34533, 6235, 506, 40096, 6, 112452, 114955, 4, 37826, 7369, 4151, 7201, 33809, 1211, 17824, 75230, 2702, 6, 89930, 6235, 506, 40096, 5, 75230, 87637, 16976, 2702, 4, 230764, 4151, 895, 16932, 37826, 9213, 506, 2702, 4269, 64260, 56040, 171665, 506, 6235, 159696, 1211, 7265, 4838, 6, 97634, 4944, 16932, 4, 37826, 18225, 22753, 6235, 506, 15907, 7544, 4838, 22492, 54260, 2932, 2205, 6319, 137377, 4, 22753, 1470, 75230, 111137, 506, 29771, 35189, 21295, 230764, 151614, 7511, 5, 92500, 41764, 33809, 16932, 4, 3056, 22753, 1470, 75230, 2702, 8903, 48775, 13805, 12483, 6, 112452, 6, 148346, 8580, 506, 25207, 4838, 4231, 99176, 33353, 4, 73095, 39340, 1470, 54260, 23269, 2205, 35189, 4269, 48904, 89930, 6, 118809, 5, 36324, 22753, 3056, 6235, 4484, 33809, 51723, 3069, 31467, 6, 101328, 46244, 12483, 4, 95455, 22753, 6235, 506, 39083, 109636, 1211, 10676, 7201, 64260, 6093, 2205, 6, 109636, 50853, 112216, 20315, 1211, 6, 148346, 506, 20635, 102830, 905, 5, 75230, 87637, 20760, 4, 34654, 92867, 2882, 7746, 4838, 874, 39083, 4, 7508, 6093, 6, 148346, 1211, 6, 145146, 3056, 6, 23173, 75230, 2702, 230764, 705, 8903, 17645, 2932, 2200, 506, 64260, 6, 16932, 119718, 239162, 21295, 3120, 75903, 2932, 4, 37826, 7369, 4151, 39293, 42023, 95455, 7544, 5, 13845, 1470, 75230, 7201, 26, 1211, 6, 148346, 13845, 2442, 4, 3056, 9934, 5, 2808, 30682, 55242, 46244, 6235, 2882, 4, 1644, 12483, 4, 37826, 7369, 6235, 4484, 33809, 51723, 60631, 4484, 3069, 31467, 9213, 46244, 4, 21422, 6235, 12415, 96986, 4, 6, 23173, 137377, 42572, 33809, 1211, 16932, 2442, 1470, 33809, 1211, 7746, 6, 113889, 4944, 8903, 22680, 4113, 98833, 9721, 9213, 46244, 12, 7508, 6093, 22753, 3056, 32, 2451, 6428, 13159, 217284, 2702, 81444, 4, 2205, 4151, 1982, 54260, 14004, 8903, 1211, 364, 75230, 4852, 292, 364, 120467, 22753, 1470, 30682, 17288, 36909, 44779, 48904, 61397, 710, 104149, 5, 6093, 3056, 6, 110317, 89184, 96986, 4, 6235, 119718, 29771, 46244, 6, 61397, 29766, 12483, 1470, 32097, 10676, 15622, 2442, 4, 1470, 33809, 1211, 6, 148346, 4113, 36909, 75230, 1644, 12483, 1751, 148346, 609, 22426, 23173, 76776, 40920, 4, 1470, 30682, 1285, 6, 97634, 4944, 16932, 22753, 23269, 3069, 15857, 165354, 2205, 112216, 1644, 47351, 6, 98594, 1211, 5, 75230, 7508, 6093, 67826, 61397, 110573, 710, 6, 54260, 20315, 1211, 4, 3056, 1470, 75230, 152656, 364, 75230, 4852, 132025, 8903, 36909, 21106, 12483, 4838, 46711, 75230, 6093, 7265, 59461, 8580, 292, 1054, 120467, 6319 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 68558, 1054, 15388, 6, 145146, 119055, 109316, 1211, 24464, 4838, 4231, 33809, 75230, 36419, 6, 97634, 4944, 16932, 32, 7369, 34654, 1644, 9934, 5, 148346, 51437, 101296, 56170, 4838, 6, 148346, 54260, 2932, 4, 3523, 34533, 1470, 75230, 2702, 238197, 170479, 8947, 6, 109995, 5, 506, 64260, 7746, 4151, 6, 23173, 141943, 23173, 6, 158652, 54260, 2050, 6, 61397, 12483, 6, 148346, 21106, 2648, 6, 148346, 4113, 25222, 49008, 6319, 114436, 170479, 7243, 18415, 4113, 12483, 2205, 6, 23173, 37016, 73784, 25093, 31467, 710, 364, 53805, 24244, 45495, 14081, 8009, 506, 6, 109995, 5, 35189, 25093, 31467, 710, 37826, 7746, 3523, 34533, 6, 71804, 23405, 78104, 54343, 6, 59461, 12483, 12, 2451, 6235, 506, 4838, 364, 54260, 2050, 292, 37826, 7369, 1470, 30682, 132025, 8903, 225975, 2882, 292, 1470, 33809, 1211, 67882, 4667, 4838, 1751, 148346, 609, 4, 4838, 80453, 20616, 149010, 4667, 163139, 76961, 2442, 39083, 5, 1470, 33809, 1211, 292, 18415, 1644, 4838, 17824, 75230, 2702, 6, 125830, 39083, 35596, 4, 7369, 170479, 220224, 1211, 4838, 6, 148346, 21292, 13845, 2702, 204403, 25207, 119718, 2442, 161459, 4, 6, 75230, 4269, 8300, 159696, 506, 5666, 32792, 5, 2200, 55242, 4, 36324, 42355, 117902, 4944, 104238, 1054, 142429, 8947, 12483, 1285, 6235, 506, 6093, 3111, 31467, 6, 109995, 4, 199145, 6, 148346, 20616, 2442, 3056, 6235, 101608, 292, 19532, 1211, 223779, 2442, 1470, 33809, 1211, 133190, 19532, 1211, 223779, 4, 22753, 6235, 506, 2882, 2648, 29771, 4667, 5332, 22426, 13159, 7746, 117902, 2442, 80885, 1644, 12483, 18583, 1211, 46855, 4944, 33809, 609, 1470, 33809, 1211, 292, 34654, 16932, 4, 4231, 13159, 1054, 14540, 1470, 164846, 7511, 65939, 35465, 5, 165592, 7508, 6093, 7508, 54260, 506, 178303, 364, 54260, 16803, 4, 3373, 2702, 124470, 96743, 6, 75230, 2702, 2702, 7369, 1054, 120467, 5, 4151, 6, 23173, 141943, 23173, 37826, 4852, 18167, 33960, 29659, 6235, 22426, 75230, 75386, 1470, 33809, 1211, 6235, 121865, 12483, 6428, 13159, 7508, 54260, 132025, 68566, 2702, 12483, 4838, 1751, 148346, 609, 292, 6, 57277, 39340, 4, 19829, 2702, 7511, 292, 1644, 15949, 2702, 4231, 30473, 33809, 1982, 1470, 33809, 1211, 6, 96986, 95455, 6235, 8903, 2702, 12483, 2200, 6235, 23822, 33809, 20260, 12483, 1285, 212413, 8947, 3056, 133190, 93657, 905, 89184, 13845, 43178, 22639, 1211, 6, 54260, 20315, 1211, 22426, 100810, 6, 101328, 63849, 114349, 75230, 1644, 23173, 8580, 5, 76961, 163139, 28726, 37826, 18225, 6235, 2865, 33809, 4852, 2882, 1470, 75230, 36909, 212484, 12483, 6, 48904, 26, 183512, 6093, 6319, 23269, 109636, 1644, 42572, 33809, 1211, 1285, 65902, 35189, 5, 75230, 87637, 72788, 6, 75230, 87637, 134127, 5, 2200, 36324, 8947, 3056, 23050, 905, 51723, 4, 3069, 31467, 60837, 2702, 36419, 33809, 19063, 8300, 16175, 4, 37826, 51723, 1285, 29434, 710, 18415, 73095, 33809, 13720, 1470, 75230, 4667, 3523, 34533, 6, 16932, 36419, 85465, 2200, 3523, 65482, 2702, 12483, 4838, 6, 203326, 109316, 107189, 15949, 2932, 2702, 4838, 119718, 5, 30473, 4151, 68248, 506, 13845, 2882, 41764, 5594, 33716, 7746, 2200, 6, 104149, 37826, 4838, 4944, 244640, 2882, 3523, 5666, 6235, 23269, 1982, 12483, 4, 36324, 6, 35465, 4838, 84577, 6093, 170479, 4852, 54260, 1211, 16175, 22426, 107581 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9934, 40096, 2451, 30473, 3523, 77188, 81444, 4667, 5332, 13159, 6, 8632, 21292, 12483, 1470, 16870, 13845, 69181, 711, 55823, 1211, 364, 40096, 22753, 6, 48904, 23269, 13845, 54260, 2648, 2882, 2205, 6, 48904, 54260, 65902, 20315, 1644, 4, 3523, 54260, 4113, 6, 88660, 36909, 18415, 4, 4838, 12023, 36419, 139962, 114436, 6, 149364, 7972, 16667, 10676, 6, 88660, 13805, 47833, 22753, 120202, 23269, 36909, 5594, 32206, 73784, 112216, 710, 47351, 5, 6, 148346, 26612, 36609, 4, 6, 5, 905, 6, 124470, 26, 1211, 21776, 2932, 4, 88660, 4944, 12483, 7746, 4838, 9183, 37016, 2932, 91595, 13845, 2882, 10339, 174121, 101296, 36419, 7265, 9424, 6, 16932, 93975, 49920, 89930, 9934, 53414, 12, 2007, 167188, 6, 5594, 32, 113889, 4852, 364, 29060, 220224, 1211, 21422, 2882, 11265, 32, 1982, 54260, 2050, 19550, 145146, 4, 163139, 6, 59461, 20616, 5666, 44779, 4, 3056, 95455, 874, 39083, 6, 75230, 6, 124470, 9719, 2648, 6, 59461, 12483, 4838, 1982, 21106, 5, 6093, 75230, 2702, 40096, 71512, 7544, 109995, 364, 59929, 23050, 150349, 54260, 2882, 4, 9934, 115398, 183512, 109316, 1211, 7265, 16175, 54260, 905, 192539, 10339, 71804, 51723, 151614, 115518, 4113, 13845, 75230, 4944, 244640, 2702, 12483, 2200, 6, 49268, 16847, 7265, 6, 49268, 15529, 506, 81444, 4944, 12483, 23050, 57277, 115666, 2205, 23050, 212484, 12483, 7746, 119055, 10705, 54260, 8903, 42023, 5, 119718, 710, 10676, 4838, 141943, 23173, 26, 2702, 3373, 29771, 26, 18415, 3056, 4838, 54260, 1211, 4, 364, 59929, 9934, 4151, 163139, 9719, 4667, 564, 183512, 137, 54260, 2442, 5, 8903, 2882, 51723, 220273, 97816, 1211, 2200, 22753, 6, 148346, 23173, 23269, 2451, 25207, 15907, 186046, 76961, 68542, 13845, 5, 2648, 54260, 2882, 2205, 6319, 54260, 59461, 24464, 22753, 2932, 64260, 7746, 7243, 23050, 40096, 123736, 506, 56570, 2702, 26, 12483, 6, 42421, 33960, 46244, 27855, 185226, 2200, 9424, 142170, 850, 5, 95766, 7265, 12483, 4151, 6, 16747, 75230, 506, 132025, 6093, 37826, 10676, 6, 23173, 141943, 23173, 26, 2702, 3373, 29771, 4944, 244640, 101608, 4838, 23405, 20616, 75230, 1982, 12483, 29789, 506, 5, 12483, 4, 6, 47351, 95455, 8947, 12483, 364, 54260, 47332, 6, 68558, 6, 54260, 24152, 12483, 5, 2200, 163139, 4231, 37826, 7746, 7243, 10213, 29789, 506, 2882, 4, 37826, 710, 7746, 34537, 33809, 2702, 9213, 148346, 1211, 3523, 34533, 6235, 88660, 13497, 87481, 21106, 96986, 5, 10069, 23050, 16803, 151614, 1982, 12483, 8947, 27702, 50853, 4151, 3131, 22426, 54196, 292, 168892, 564, 29060, 40653, 9213, 6093, 3523, 61722, 2451, 2808, 24295, 101296, 4, 9424, 238144, 87311, 710, 5, 10676, 19550, 9719, 4667, 9424, 54260, 710, 4944, 95455, 6, 5, 12483, 8947, 6235, 9183, 120467, 42572, 6093, 15908, 54260, 49008, 4, 18225, 2648, 120467, 6235, 4113, 22426, 35596, 1285, 23050, 5666, 4944, 16932, 4, 1470, 75230, 2702, 8903, 4944, 80453, 15435, 2882, 6, 203326, 10498, 37016, 54260, 59929, 6093, 4, 95298, 2451, 13159, 506, 64260, 6, 119859, 710, 40920, 6235, 26612, 710, 109636, 1211, 4, 6, 5, 12483, 37826, 7746, 3120, 9213, 46244, 6, 139449, 123736, 55049, 12483, 5, 4151, 24755, 10813, 4667, 21106, 54260, 1211, 37826, 1751, 75230, 1211, 3523, 34533, 6235, 4944, 29771, 13497, 1470, 75230, 64310, 148346 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12483, 2200, 6235, 506, 54260, 2702, 12483, 1285, 1285, 59461, 4, 18225, 170479, 22753, 36258, 10125, 6, 109995, 5, 20315, 2050, 4838, 189623, 2442, 23173, 26, 2702, 4838, 4944, 244640, 49008, 54260, 29771, 46244, 71512, 6, 97634, 4944, 244640, 16932, 37826, 7243, 23050, 119718, 10705, 13497, 4, 18583, 119718, 120467, 506, 91595, 54745, 1211, 22753, 4269, 53414, 162726, 34365, 21292, 2205, 22753, 3056, 6, 23173, 75230, 2702, 7265, 4838, 3069, 1982, 90848, 4944, 12483, 23050, 144754, 5, 6, 92605, 119718, 21106, 186145, 46244, 12483, 6, 90848, 4944, 12483, 6235, 12415, 49008, 6, 80264, 9213, 506, 25207, 1470, 75230, 8903, 1211, 5, 1470, 75230, 7201, 26, 1211, 6, 159696, 2932, 364, 59929, 22753, 6, 48904, 8903, 226112, 12483, 3373, 174121, 22426, 23173, 4113, 119055, 23173, 2451, 12483, 2200, 3056, 6, 23173, 75230, 22426, 23269, 22426, 21106, 12483, 1285, 874, 59929, 12483, 1470, 75230, 152656, 364, 21106, 4852, 7265, 4838, 50856, 46598, 6319, 119718, 21106, 186145, 46244, 12483, 5, 2451, 6, 225975, 4, 3373, 29771, 40377, 6093, 16629, 4, 199145, 3056, 6235, 159696, 1211, 32, 292, 6, 128750, 35596, 6, 75230, 1285, 67882, 24621, 2200, 163139, 139962, 75230, 1211, 4838, 7508, 39083, 4151, 506, 4113, 7682, 4, 199145, 8947, 364, 59929, 7265, 9213, 46244, 36324, 13845, 4944, 13159, 6235, 226112, 36909, 12483, 5, 2451, 6255, 151614, 1982, 16175, 9221, 10213, 5, 5, 3131, 2451, 2882, 2451, 710, 2451, 5666, 2451, 4484, 2451, 4113, 2451, 905, 2451, 506, 64260, 22753, 6, 81050, 7265, 23050, 101328, 63188, 5666, 119718, 21292, 12483, 1285, 3523, 54260, 42023, 190800, 244640, 8903, 30473, 506, 2882, 5, 2451, 3523, 23173, 109316, 4, 7243, 6428, 33809, 151614, 16803, 1285, 4667, 10213, 29659, 24295, 165354, 4, 9934, 38574, 34557, 850, 37826, 7746, 10213, 5, 73215, 20260, 1211, 2451, 506, 5, 2882, 1468, 7508, 5, 148346, 4113, 1470, 17824, 1470, 75230, 2882, 23269, 119718, 15907, 1285, 5332, 20616, 25207, 1211, 5, 2451, 48105, 139365, 41764, 2702, 3149, 3056, 23050, 710, 21106, 12483, 4838, 874, 39083, 47833, 146594, 609, 4, 37826, 18225, 23050, 3131, 36419, 21295, 6, 48253, 21106, 35596, 4, 109995, 8947, 6235, 90536, 1982, 12483, 46711, 33809, 165354, 4, 1470, 33809, 1211, 4, 36324, 8947, 2205, 46711, 33809, 165354, 4, 6235, 506, 2882, 18225, 2205, 1054, 29771, 4113, 12483, 4, 2200, 36324, 8903, 1211, 6235, 506, 2882, 2205, 9934, 29771, 4944, 12483, 4, 22753, 56169, 18225, 1470, 75230, 33225, 68248, 4, 1470, 33809, 1211, 36324, 3496, 12483, 22753, 56169, 1470, 75230, 7201, 26, 1211, 68248, 5, 7508, 41595, 20315, 1211, 120202, 5, 2451, 506, 59929, 7369, 6, 239162, 120749, 41764, 2884, 9213, 46244, 2200, 22753, 364, 59929, 123736, 148346, 89184, 4944, 244640, 2882, 3120, 22753, 68697, 4, 2200, 4838, 74, 4, 49008, 34654, 4944, 244640, 2882, 120202, 1470, 54260, 16667, 3120, 6, 183512, 53414, 3069, 84316, 16667, 18225, 7746, 4, 2200, 36324, 54745, 1211, 3069, 25616, 41595, 7746, 54260, 4667, 4, 620, 29771, 13497, 18225, 7746, 4, 2200, 36324, 18225, 1751, 203749, 2882, 7746, 4, 3069, 31467, 21733, 71577, 2882, 18225, 124724, 5, 292, 3056, 7369, 6235, 113889, 96986, 73784, 35289, 26, 1211, 2205, 22753, 73784, 81444, 20911, 29766, 7369, 37826, 4151, 35189 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21295, 6428, 13159, 35289, 1211, 6, 75230, 23269, 6319, 54260, 5, 7511, 20260, 710, 96986, 2200, 22753, 37826, 4151, 26394, 506, 21295, 10676, 81444, 20911, 29766, 14004, 25207, 65902, 110317, 4484, 54260, 2702, 12483, 5, 65902, 25222, 20260, 54260, 96986, 16629, 96986, 7746, 5, 7508, 40096, 7746, 6, 146598, 8903, 114650, 30109, 12483, 5, 3056, 18225, 6235, 212484, 12483, 1470, 33809, 2050, 81444, 20911, 29766, 7369, 1054, 39083, 186145, 55823, 1211, 4, 37826, 7369, 6235, 905, 29771, 13497, 12, 199145, 16175, 9221, 9934, 142429, 6, 186145, 109636, 1211, 4, 9934, 21106, 6, 186145, 109636, 1211, 10676, 35289, 1211, 38, 37826, 6093, 35289, 6235, 226112, 55823, 1211, 4269, 54260, 4667, 2205, 9934, 117687, 6, 23173, 28320, 4, 47833, 36324, 18225, 6, 186145, 22426, 2882, 2205, 1751, 104855, 6, 29766, 8580, 7961, 114349, 54196, 2451, 22426, 29766, 33716, 18225, 5, 7501, 6255, 6, 149364, 205416, 25207, 1211, 2205, 4838, 6, 148346, 1644, 64260, 4113, 5, 47833, 36324, 6255, 119055, 13845, 6, 23173, 75230, 2702, 69355, 4151, 43449, 64260, 4113, 4, 119055, 13845, 6255, 6, 238144, 16932, 21776, 25207, 89184, 12483, 5, 73419, 26612, 7508, 39083, 3056, 6235, 159696, 1211, 4838, 68697, 7265, 4838, 111996, 49008, 4, 4838, 506, 88917, 6, 99611, 6, 59461, 5, 364, 59929, 21374, 49268, 23173, 75230, 2882, 23269, 8903, 1982, 12483, 4838, 6, 80453, 7682, 165592, 36324, 6, 5, 12483, 6, 205416, 6, 5, 710, 40920, 564, 33809, 7972, 49008, 6, 53414, 67537, 54260, 1211, 3069, 31467, 4838, 3523, 137377, 29789, 41764, 8580, 26612, 34654, 25207, 4113, 2451, 5, 12415, 16747, 1211, 37826, 8947, 6, 75578, 6, 9221, 54260, 122623, 75903, 136108, 6, 149364, 2648, 90848, 4944, 12483, 4, 6, 76776, 40920, 7369, 10676, 4269, 75230, 75578, 5, 40920, 12483, 41764, 2882, 54260, 30750, 4, 47833, 119055, 29766, 22426, 2702, 10676, 12065, 50856, 2205, 6, 131445, 13845, 4, 2200, 6, 186145, 23741, 1470, 30682, 2205, 115222, 18415, 38, 92500, 874, 183718, 1470, 30682, 6235, 22426, 119718, 29771, 7682, 3373, 159696, 5666, 26394, 4113, 5, 4151, 7508, 33809, 16747, 3056, 6235, 119718, 29766, 12483, 564, 54260, 4, 3496, 26612, 40920, 7369, 4852, 18167, 230764, 2200, 7508, 75230, 47332, 6, 68558, 3069, 6428, 75230, 109636, 1211, 5, 6428, 75230, 22426, 2882, 4, 657, 75230, 159212, 4, 6428, 75230, 22426, 2882, 4, 2205, 4838, 23050, 10069, 5666, 4944, 12483, 119055, 21106, 2648, 23173, 8580, 2451, 95766, 4269, 75230, 2050, 41764, 2884, 221895, 1211, 3056, 133190, 16667, 4838, 874, 54260, 1644, 2451, 4484, 177148, 7369, 21422, 73784, 292, 80885, 1211, 564, 54260, 21087, 77188, 7369, 1470, 75230, 2882, 7611, 1211, 6, 150349, 8580, 1982, 75230, 2050, 6, 29060, 77188, 162726, 75230, 5, 1285, 46654, 75230, 95455, 6, 59461, 40096, 6, 5, 101328, 5332, 1470, 75230, 33225, 54260, 5666, 5, 1285, 24012, 239162, 1470, 75230, 7201, 26, 1211, 1470, 75230, 2932, 3056, 6235, 146887, 123736, 119718, 710, 17824, 75230, 2702, 163139, 4838, 159696, 16175, 36419, 5, 4113, 6, 99611, 5, 119055, 64260, 2882, 18225, 6, 32206, 48904, 21292, 32, 18225, 121193, 129071, 22753, 230764, 5, 7213, 2882, 7746, 6, 23173, 75230, 2702, 9424, 75230, 26612, 109985, 1470, 54260, 1644, 12483, 2442, 54260, 9183, 183512, 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 ]
[ 7265, 82977, 183512, 710, 5, 1470, 54260, 1644, 12483, 657, 54260, 119718, 183512, 3056, 4838, 73418, 50856, 44064, 42355, 6, 76776, 5, 59461, 70285, 4, 5, 77188, 7369, 123736, 8580, 292, 2882, 99766, 6, 23173, 54260, 1211, 4, 6, 186145, 23741, 7369, 4838, 41764, 75230, 4113, 6, 226112, 49008, 4838, 113451, 1211, 78104, 2882, 6, 233364, 150349, 39340, 4, 95766, 7369, 55726, 506, 1285, 6, 78683, 125830, 39340, 4, 564, 21660, 29766, 15907, 1285, 6, 119859, 54561, 4, 27855, 4944, 244640, 2882, 10676, 22639, 103023, 4, 147582, 20911, 120202, 2648, 120467, 6319, 21106, 4944, 2205, 1285, 6319, 47351, 119055, 77188, 81414, 22426, 2932, 4, 6319, 84577, 18225, 3373, 75230, 1211, 41764, 2884, 6, 5, 13159, 6, 88660, 16932, 4838, 710, 75230, 4667, 92500, 6, 5, 12483, 17824, 54260, 2882, 3069, 31467, 2050, 6, 125830, 2200, 6, 54260, 29060, 17190, 18415, 710, 5, 2200, 4151, 31807, 5, 13982, 46053, 6235, 506, 40920, 10676, 6, 93497, 5, 4944, 12483, 6, 17645, 13845, 4231, 75230, 4667, 9721, 91595, 7746, 40653, 4151, 4231, 29060, 13845, 2200, 2181, 3373, 80453, 24295, 13497, 19532, 75230, 2702, 6, 40096, 75230, 23173, 26394, 46654, 75230, 2200, 3496, 18415, 21295, 7746, 1470, 75230, 2702, 26, 1211, 41764, 22426, 8580, 6, 114650, 29789, 4, 115222, 506, 33716, 7746, 40653, 1285, 4231, 75230, 4667, 4, 92500, 564, 65606, 2882, 123736, 6428, 13159, 4269, 20315, 25603, 164863, 13159, 4269, 5, 5, 609, 5, 32899, 76216, 33716, 7369, 21422, 81444, 20911, 75230, 16847, 7746, 6319, 33809, 2442, 9221, 12483, 90848, 4944, 12483, 1285, 81444, 20911, 75230, 16847, 6235, 905, 84577, 4, 36324, 1285, 76961, 45521, 29025, 12483, 564, 54260, 20315, 1211, 2200, 1285, 1470, 54260, 22492, 33809, 22492, 54260, 112690, 23269, 101296, 16932, 6, 9221, 109316, 1211, 28977, 5927, 151614, 1982, 12483, 2200, 45223, 12483, 151614, 1982, 12483, 114955, 5, 170479, 7369, 7746, 6, 131445, 1285, 2865, 54260, 2442, 1054, 59929, 38249, 6, 30979, 6, 5, 905, 54260, 6, 127583, 54745, 1211, 95455, 119055, 46598, 7369, 6235, 506, 29771, 710, 12483, 119055, 6093, 12483, 5, 905, 29771, 8580, 2200, 4838, 151614, 61621, 4, 54260, 1982, 2702, 6, 18167, 1285, 6, 104038, 123736, 2884, 26612, 6319, 47351, 7265, 4838, 7508, 75230, 4852, 4, 1644, 29771, 448, 1285, 6, 104038, 1470, 75230, 2702, 5, 132, 30473, 21374, 119718, 4, 6, 87311, 7972, 159696, 2442, 16, 2932, 109600, 37826, 6, 75322, 39083, 23050, 71804, 104149, 1470, 75230, 39248, 25046, 12483, 5, 165592, 119055, 6093, 8947, 1054, 29060, 72649, 2702, 8248, 49008, 4838, 24012, 49008, 4, 199145, 18225, 119055, 13159, 3523, 34533, 192183, 12483, 123736, 9221, 15350, 171428, 4, 119055, 29060, 7369, 1470, 30682, 4838, 159696, 4484, 8903, 1982, 12483, 4838, 364, 21106, 1982, 6, 149364, 24621, 2932, 4484, 5, 68313, 3069, 31467, 1470, 30682, 6, 130991, 4838, 10213, 65606, 36258, 6093, 657, 24295, 59461, 47833, 37826, 1470, 30682, 23050, 9183, 51723, 36324, 54260, 35189, 26394, 54574, 12483, 12, 2451, 6255, 6, 148346, 8580, 23050, 119718, 4484, 2205, 41764, 54260, 16932, 28317, 5666, 4, 151614, 1982, 6255, 23050, 506, 77188, 4, 36324, 18225, 364, 183512, 13845, 2882, 144754, 9934, 142429, 37016, 21066, 54260, 2702, 5, 199145, 2205, 1470, 119718 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 100810, 1054, 29766, 7682, 22426, 1644, 54260, 3131, 711, 292, 6, 5, 12483, 3523, 71577, 2882, 24012, 49008, 2200, 18225, 2442, 34533, 22753, 1470, 75230, 2702, 1285, 4269, 5, 5, 506, 63188, 4, 3056, 81444, 1054, 29766, 4113, 4944, 4, 21338, 54260, 2702, 5, 3056, 81444, 4667, 95455, 193042, 39340, 6, 5, 26217, 2882, 6, 5, 4113, 5, 2702, 29060, 5, 151614, 1982, 6255, 6235, 4944, 244640, 71577, 2882, 5332, 4269, 6293, 12023, 49008, 2200, 151614, 1982, 22753, 1470, 75230, 2702, 61397, 710, 4944, 12483, 1285, 4269, 5, 5, 46677, 2442, 4, 2205, 506, 26612, 12, 1470, 54260, 23405, 905, 26612, 88945, 1211, 41764, 24295, 6293, 78104, 49008, 46654, 54260, 2702, 2200, 20033, 23050, 71804, 905, 38249, 7265, 10676, 2205, 6, 159696, 2932, 6, 23173, 54260, 1211, 119718, 21106, 2648, 1470, 75230, 2702, 4, 119055, 21106, 2648, 2205, 2451, 115518, 6255, 6235, 16580, 96986, 24012, 4838, 4944, 26612, 18640, 4, 37826, 7746, 95455, 7508, 6093, 20315, 4113, 4838, 119718, 15350, 171433, 6235, 121865, 12483, 4, 78278, 8947, 37826, 7746, 40653, 61397, 710, 36419, 2884, 2205, 364, 29789, 148346, 2882, 1470, 75230, 4667, 4151, 1054, 54260, 2702, 564, 23173, 127710, 33809, 1211, 4269, 54260, 1211, 45223, 2882, 230764, 7508, 6093, 9424, 238144, 18415, 220224, 2882, 27702, 48974, 5, 6319, 68558, 7746, 4231, 23173, 6, 5, 710, 29060, 163139, 16932, 204403, 23847, 12483, 4, 7501, 6255, 6, 23173, 75230, 6293, 1470, 75230, 7201, 26, 1211, 27702, 48974, 4, 55242, 506, 11265, 4, 8947, 119055, 29771, 29060, 2882, 4838, 564, 75230, 24621, 4113, 5, 151614, 1982, 6255, 141492, 506, 6093, 3131, 109316, 1982, 54260, 1470, 33809, 54561, 6, 54260, 20315, 1211, 36909, 100810, 10339, 39083, 13805, 2865, 75230, 1644, 22426, 59461, 21292, 12483, 4838, 13342, 18640, 42572, 8580, 6, 148346, 75230, 2050, 4, 3069, 31467, 5666, 75230, 36909, 23269, 2702, 97634, 92867, 905, 95455, 42572, 6093, 20315, 1644, 2205, 119055, 2882, 23847, 6235, 36909, 29771, 46244, 12483, 5, 95455, 6, 98594, 195054, 2205, 6, 148346, 75230, 4667, 6, 12130, 6, 148346, 6093, 20315, 1644, 3056, 42572, 40920, 23050, 2865, 29766, 12483, 378, 2808, 33809, 1211, 132025, 8903, 506, 75230, 148346, 12483, 75230, 26612, 40377, 12483, 4, 6, 148346, 15533, 8947, 3056, 6235, 905, 92605, 2702, 12483, 4269, 54260, 4667, 2205, 22753, 69801, 6, 23173, 8580, 2451, 171433, 8903, 2702, 7201, 23173, 2702, 34654, 119055, 39083, 39340, 16667, 92500, 3523, 34533, 41764, 2884, 6, 99766, 5, 47833, 6, 148346, 21292, 12483, 10676, 6, 159696, 2932, 6, 148346, 1644, 54260, 148346, 12483, 6, 186955, 1211, 3056, 81444, 4667, 3523, 34533, 37189, 2702, 5, 151614, 5, 168892, 3523, 34533, 6235, 506, 59929, 6319, 54260, 1211, 6, 48904, 29025, 6, 148346, 2442, 17188, 2200, 6, 148346, 8580, 7508, 75230, 6293, 2205, 364, 52480, 13845, 19532, 54260, 1211, 5, 2205, 364, 52480, 13845, 5, 26612, 85310, 35465, 6, 48904, 26, 29771, 13805, 186046, 4838, 4269, 90848, 4944, 12483, 2451, 165592, 6, 112452, 6235, 50853, 3056, 6, 5, 710, 4944, 57277, 151614, 148346, 6255, 4838, 144532, 8903, 119718, 29771, 4, 4113, 15907, 4838, 6, 119859, 57619, 12483, 166464, 7265, 64769, 18630, 217814, 2200, 220273, 7511, 40920, 6235, 4484, 75230, 23741, 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 ]
[ 56170, 76776, 40920, 4, 151614, 148346, 6255, 20315, 2050, 75903, 2932, 6, 59461, 1644, 75230, 68959, 1211, 1470, 33809, 1211, 7243, 6235, 119718, 10705, 16803, 4, 163139, 36324, 75230, 41764, 2884, 34654, 25207, 710, 6, 23173, 137377, 8300, 9416, 35189, 1211, 5, 1470, 54260, 25207, 2050, 364, 29766, 6255, 4151, 905, 53414, 4838, 6, 101328, 4667, 4, 2205, 4231, 29766, 7961, 135118, 4113, 74, 151614, 148346, 6255, 3120, 3373, 21660, 39340, 1470, 75230, 2702, 7511, 25207, 56417, 4838, 6, 34575, 7682, 2200, 205026, 4838, 90848, 111137, 101328, 104149, 5, 6, 148346, 8580, 6255, 6235, 114778, 12483, 113554, 4151, 364, 29789, 22426, 2702, 6, 159696, 5927, 29771, 148346, 6255, 7243, 6235, 506, 59929, 6319, 54260, 1211, 4838, 83182, 5332, 8632, 4, 364, 26612, 120202, 23269, 2702, 7511, 96986, 3120, 9213, 148346, 12483, 4, 123736, 71512, 148346, 905, 152848, 22426, 2884, 22639, 2702, 12483, 2205, 7746, 163139, 101608, 6, 23173, 137377, 8903, 212484, 12483, 5, 7501, 6255, 6, 23173, 24295, 23269, 22426, 21106, 12483, 2205, 4838, 50856, 72158, 1470, 33809, 2442, 34533, 6235, 88660, 13497, 6, 23173, 75230, 2702, 5, 7501, 6255, 4838, 159696, 1644, 151227, 137377, 12483, 2205, 6, 94741, 63020, 6, 23173, 61621, 4, 20033, 23050, 148346, 29766, 194734, 22426, 23173, 13845, 2205, 205026, 6, 23173, 75230, 2702, 8903, 78683, 148346, 29060, 5, 7501, 6255, 6, 5, 6093, 2442, 364, 17310, 6093, 18640, 6235, 119718, 29766, 12483, 5, 6, 94741, 1982, 9213, 5, 25207, 174314, 35465, 6, 105780, 6293, 6235, 13458, 120467, 65482, 6235, 15388, 147582, 506, 12483, 4, 364, 26612, 6255, 22753, 6235, 7511, 96986, 44917, 200117, 137218, 49008, 2451, 4852, 114436, 4852, 54260, 6, 23173, 8580, 2205, 4838, 3496, 7201, 186955, 3120, 4838, 1982, 75230, 2050, 5, 7501, 6255, 220224, 125523, 1470, 33809, 1211, 22753, 6235, 4944, 71577, 2882, 1470, 33809, 1211, 205026, 3523, 33809, 1211, 37271, 100810, 6093, 23269, 506, 129071, 2451, 148346, 8580, 6255, 95298, 6235, 119718, 29766, 12483, 36324, 75230, 4269, 90848, 4, 36324, 6255, 151614, 1982, 7243, 23050, 78683, 120580, 6093, 2442, 3120, 564, 75230, 2882, 3069, 31467, 2442, 7682, 6, 23173, 75230, 2702, 5, 6, 148346, 8580, 6255, 6, 195054, 137377, 1211, 2205, 81444, 63020, 6, 23173, 54260, 1211, 4, 9721, 6235, 4944, 71577, 2882, 37271, 364, 26612, 74, 2200, 2190, 16667, 6093, 8903, 48775, 13805, 10676, 6, 148346, 75230, 2050, 2200, 6, 148346, 8580, 6, 23173, 75230, 2702, 8903, 4484, 90848, 4944, 244640, 12483, 6, 76776, 49209, 5, 6, 148346, 8580, 6255, 6235, 119718, 29766, 12483, 203370, 15231, 2932, 4, 6, 148346, 8580, 3069, 3069, 2702, 6, 148346, 15529, 119132, 7746, 132025, 65848, 20260, 12483, 292, 68313, 123736, 148346, 6093, 4151, 6, 148346, 15529, 119132, 16175, 32097, 92500, 119055, 59929, 6093, 2451, 4484, 75230, 2050, 4484, 54260, 2702, 1470, 75230, 36909, 6428, 37016, 4, 2205, 6319, 54260, 1211, 27855, 2050, 3056, 6, 99611, 2702, 29771, 38, 151614, 1982, 6255, 20033, 230764, 8903, 2702, 119718, 157245, 10676, 6319, 71577, 120202, 8903, 3131, 99611, 12483, 1470, 33809, 1211, 1470, 30682, 6, 23173, 23174, 29789, 905, 29766, 36909, 12483, 12, 170479, 7369, 7746, 132025, 65848, 20260, 12483, 78278, 6, 23173, 75230, 6293, 38, 132025, 8903, 110129, 20260 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 151614, 1982, 6255, 1470, 30682, 98252, 6, 23173, 75230, 2702, 8903, 3111, 31467, 51723, 1470, 33809, 1211, 4838, 15529, 22426, 5, 5666, 37075, 8300, 2702, 230764, 1285, 162726, 88945, 5, 163139, 1644, 7369, 95298, 7746, 3523, 34533, 364, 26612, 21292, 12483, 74, 7501, 6255, 6, 23173, 28320, 3069, 31467, 4838, 40714, 82576, 4, 20033, 6235, 4484, 75230, 22426, 2702, 4838, 6, 148346, 21292, 13845, 1751, 33809, 2702, 2702, 93497, 90848, 28726, 1470, 33809, 1211, 11265, 2702, 41764, 13159, 2702, 3069, 31467, 23269, 21733, 2648, 1982, 2702, 5, 4838, 119718, 710, 71804, 23405, 163139, 1285, 6, 119312, 95455, 7243, 6235, 2702, 100810, 4, 95455, 6, 148346, 2442, 7746, 6235, 506, 21106, 2702, 12483, 4, 6319, 75230, 2050, 95298, 95455, 10069, 6, 109995, 133190, 4838, 6, 203326, 13845, 119055, 23173, 710, 46685, 1470, 75230, 22426, 8903, 4113, 41595, 5, 3056, 1285, 3373, 33809, 2702, 93497, 87311, 28726, 3069, 2932, 48904, 5666, 12984, 1470, 33809, 1211, 35189, 6319, 137377, 3056, 20033, 163139, 35189, 6, 23173, 137377, 23269, 22426, 21106, 56880, 5, 7501, 6255, 78278, 6235, 119718, 29766, 12483, 4, 151614, 1982, 6235, 4944, 244640, 59929, 2702, 21106, 4, 165354, 2200, 1470, 75230, 1982, 12483, 4838, 32206, 5666, 8903, 21733, 71577, 2882, 119055, 75230, 4852, 2702, 1470, 75230, 152656, 6319, 137377, 16, 3056, 7369, 36324, 3131, 10339, 33809, 1211, 1470, 33809, 16667, 12483, 23173, 75230, 2702, 6235, 4484, 90848, 4944, 12483, 119055, 905, 48350, 2702, 1470, 75230, 36909, 26, 1211, 15434, 2205, 120202, 4, 364, 59929, 9213, 46244, 6, 93704, 29766, 2702, 10069, 4944, 12483, 5, 89647, 2808, 75230, 36909, 26, 1211, 6, 150349, 8580, 1982, 75230, 2050, 165513, 20616, 2882, 4838, 31249, 54260, 12483, 2200, 6319, 76776, 13805, 6, 99611, 44779, 4, 163139, 36324, 75230, 23050, 506, 36258, 165354, 123736, 137377, 10676, 60837, 54260, 12483, 32, 2451, 75290, 33716, 6, 104149, 1470, 54260, 6093, 1285, 6, 88660, 25207, 36419, 2200, 18225, 1751, 36419, 75386, 7746, 23173, 75230, 6293, 1470, 75230, 36909, 26, 1211, 7508, 29766, 4, 2200, 18225, 6235, 32206, 6, 23173, 137377, 10676, 3373, 7972, 12483, 2205, 54745, 1211, 9721, 141847, 2882, 1470, 30682, 4838, 506, 448, 5, 12483, 3373, 7511, 32206, 1470, 30682, 230764, 10676, 564, 75230, 4667, 5, 3373, 80453, 24295, 16667, 6, 23173, 75230, 2702, 123736, 31807, 125810, 1211, 6, 131445, 4838, 46050, 2702, 2702, 39083, 65482, 2050, 3373, 36419, 104149, 2205, 6, 148346, 21292, 4838, 10184, 4852, 65482, 2882, 364, 15907, 13845, 4, 22753, 2702, 4838, 3523, 28726, 25603, 164863, 13159, 4269, 5, 5, 3947, 5, 6, 94741, 63020, 18225, 5, 29771, 4667, 95298, 6, 76776, 4667, 147582, 2702, 1470, 75230, 22426, 8580, 564, 65606, 32, 117902, 33716, 18225, 1470, 75230, 22426, 8580, 4231, 133814, 2200, 18225, 6, 218710, 2882, 4838, 5, 710, 5, 120467, 4, 2205, 54745, 1211, 190859, 23173, 21295, 1285, 17806, 506, 2200, 18225, 193042, 4944, 244640, 2882, 10676, 22639, 103023, 1470, 5, 36324, 5, 119055, 5, 120620, 1644, 7508, 16175, 132, 23847, 2808, 51723, 4, 88911, 44779, 4, 116618, 20308, 1470, 33809, 1211, 46440, 12483, 16, 8903, 74004, 24621, 21295, 36909, 33809, 1211, 10498, 33809, 14081, 17190, 506, 133111, 132, 23847, 2808, 51723 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 657, 98071, 2648, 44779, 4, 116618, 20308, 2200, 145813, 98071, 1644, 12483, 194, 2865, 98071, 4484, 4, 148346, 54260, 1285, 49597, 114955, 4113, 22426, 98071, 1644, 12483, 4, 1470, 98071, 1211, 119055, 13845, 23269, 8947, 6235, 506, 51723, 132025, 175221, 5332, 21338, 98071, 107581, 6319, 98071, 83182, 4, 21374, 63532, 6, 124470, 9719, 2648, 1470, 75230, 2702, 1470, 54260, 23269, 2702, 3069, 31467, 506, 29771, 148346, 12483, 4838, 6, 148346, 59929, 21087, 188201, 7508, 39083, 84475, 7201, 33809, 20260, 42180, 4, 73784, 6, 148346, 710, 222907, 4, 6, 148346, 54260, 4151, 3131, 22426, 15350, 2205, 6, 5, 148346, 23173, 2932, 155, 2451, 8300, 33809, 6, 101328, 8903, 1211, 74, 2205, 37271, 36909, 13497, 2205, 6, 87311, 61397, 2451, 2808, 75230, 22426, 8300, 33809, 4852, 33809, 92867, 81829, 95455, 148346, 26612, 506, 186955, 171428, 2205, 137, 90536, 152848, 21374, 506, 155, 2451, 4852, 18167, 20632, 6, 212484, 12483, 21422, 6, 148346, 710, 16747, 12483, 1285, 49597, 1470, 75230, 8903, 1211, 2808, 5, 36324, 5, 119055, 5, 95455, 6, 148346, 92605, 710, 51723, 1285, 49597, 3069, 8903, 2882, 54260, 1644, 18415, 7508, 39083, 6, 29766, 6093, 42572, 710, 20260, 42180, 1470, 98071, 4852, 29771, 29111, 141847, 98071, 2932, 6, 105780, 26, 2050, 6, 26394, 54574, 161829, 105687, 1644, 5, 2648, 120467, 119055, 77188, 6235, 101296, 4944, 244640, 2882, 874, 98071, 2882, 4151, 11211, 108968, 69355, 4269, 48775, 51723, 4, 145813, 126700, 12483, 4, 116618, 20308, 73784, 26394, 54574, 12483, 7746, 5, 6, 148346, 54260, 6, 63188, 6, 1211, 119055, 23173, 2882, 3120, 20315, 2050, 6, 26394, 54574, 76632, 2882, 6, 238144, 4852, 2882, 4151, 6235, 506, 44478, 68558, 7265, 4151, 7508, 183512, 230764, 1470, 54260, 119132, 3120, 2648, 12, 132025, 2882, 54260, 1644, 23269, 506, 46685, 4, 2200, 230764, 6, 159696, 51723, 13159, 10339, 186955, 1470, 75230, 2702, 95455, 141879, 119055, 99766, 4, 35189, 3056, 6, 148346, 26612, 22680, 54260, 2882, 2205, 18225, 23050, 506, 21295, 94741, 1211, 1470, 75230, 7201, 26, 1211, 55242, 1644, 148346, 12483, 21422, 33225, 6, 113889, 4944, 75322, 39083, 95766, 8947, 119055, 77188, 163139, 35189, 6, 148346, 26612, 22680, 54260, 2882, 4151, 1644, 21660, 16932, 4, 36324, 75230, 6, 148346, 92904, 6, 148346, 15533, 8947, 6, 148346, 1644, 54260, 148346, 2882, 14004, 148346, 6093, 6, 12130, 6, 26394, 54574, 12483, 3523, 98071, 29659, 14856, 46244, 163139, 49597, 2808, 54260, 59461, 2205, 4151, 1470, 54260, 59461, 37826, 1285, 6235, 506, 6093, 93975, 7508, 39083, 84475, 10339, 33809, 20260, 42180, 15, 6093, 56052, 6, 101328, 8903, 710, 4, 8248, 31467, 4944, 244640, 12483, 1470, 5, 36324, 5, 119055, 5, 194, 8947, 186145, 23741, 1470, 75230, 4667, 4, 36324, 95455, 6, 54260, 4852, 16175, 33809, 1211, 4151, 119718, 120467, 42572, 186955, 6, 23173, 75230, 2702, 4151, 97995, 82576, 148346, 54260, 2050, 105687, 1644, 5, 17727, 17645, 35189, 42572, 33809, 1211, 1285, 4, 199145, 23050, 46244, 12483, 132025, 155, 2882, 54260, 1644, 22639, 448, 6, 222907, 4, 6235, 98833, 6, 23173, 75230, 6293, 1470, 75230, 7201, 26, 1211, 2882, 98071, 3131, 4838, 10339, 4, 61397, 15, 20315, 2050, 16175, 54260, 2702, 13845, 7916, 183216, 2205, 6428, 47351, 119055, 6093, 12483, 1285, 49597 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 98071, 23405, 6093, 8903, 26394, 506, 21295, 37729, 4151, 10339, 39083, 8903, 83182, 88660, 2865, 148346, 98071, 5666, 215726, 874, 98071, 2882, 17824, 33809, 22426, 13159, 21422, 29434, 54260, 20308, 5047, 657, 75230, 2882, 26, 1211, 68248, 10339, 33809, 1211, 148942, 148346, 2754, 2808, 75230, 6293, 10676, 185527, 12, 1982, 39248, 4, 2932, 21295, 5, 32206, 609, 5, 506, 5666, 4667, 4, 24244, 2050, 104149, 5, 506, 7201, 6293, 4, 2882, 10918, 1211, 132, 2932, 29766, 126968, 119718, 4, 17190, 148346, 1644, 5, 33960, 148346, 5, 194, 10461, 26612, 119718, 90848, 2050, 1470, 164046, 2702, 16, 75578, 1644, 4, 25222, 141015, 4, 105514, 4, 506, 6093, 3131, 13845, 4, 25603, 119425, 13845, 4, 4852, 24295, 159696, 1644, 4, 72596, 13845, 4, 104855, 5594, 4, 710, 33809, 20315, 1644, 4, 17160, 15289, 1054, 21733, 18406, 26, 4, 7972, 69801, 4, 14857, 506, 4, 11851, 1211, 4, 2702, 183512, 13845, 4, 20616, 61621, 6, 84404, 61621, 247, 7201, 195107, 4, 8300, 108264, 4, 88660, 148346, 13845, 4, 55451, 18406, 4, 3131, 228108, 4, 609, 22492, 5, 30979, 6, 26394, 54574, 161829, 7265, 6428, 12, 23269, 96986, 657, 75230, 2882, 26, 1211, 148942, 148346, 15533, 3056, 22426, 26612, 4944, 80453, 54260, 2882, 1470, 98071, 1211, 6, 119859, 69106, 10339, 75230, 1644, 12483, 5, 21320, 14081, 6293, 4, 45742, 4, 25222, 24621, 1644, 4, 2442, 10125, 4, 85465, 4, 119718, 29766, 4, 109995, 4, 506, 54260, 5, 45742, 4, 710, 33809, 2442, 4, 21106, 4113, 15622, 25207, 44779, 6235, 42023, 3069, 31467, 2442, 7682, 4, 21106, 4113, 6319, 40096, 4944, 39340, 2050, 6235, 42023, 81444, 4, 21106, 4113, 7838, 59461, 43649, 20616, 12483, 81444, 5, 905, 148346, 1644, 75230, 23269, 4, 119055, 23173, 2702, 5, 33960, 148346, 5, 194, 29557, 14081, 6293, 4, 148346, 2754, 4, 25222, 24621, 1644, 4, 2442, 54260, 4, 292, 88660, 4667, 20033, 6, 68558, 26612, 32887, 61541, 42572, 69181, 5, 219947, 6, 112452, 3373, 4667, 4, 219947, 6, 112452, 6, 148346, 98071, 2702, 13845, 4, 5666, 29766, 4838, 10339, 33809, 1644, 77928, 2702, 13845, 5, 132, 36909, 23173, 3131, 148346, 2442, 54260, 2882, 1470, 98071, 1211, 41764, 75230, 1644, 12483, 194, 43317, 21106, 4113, 4, 30750, 30750, 6, 238144, 18279, 61397, 12483, 2648, 99766, 12483, 506, 8580, 4, 119718, 2808, 33809, 506, 26612, 55823, 1211, 2882, 75230, 18415, 54260, 20315, 44779, 5, 132, 119718, 23173, 36326, 194, 2808, 43317, 119718, 23173, 710, 84577, 5, 21106, 18415, 1982, 54260, 104149, 8903, 506, 12483, 2442, 23173, 49008, 4, 506, 6093, 12483, 905, 54260, 49008, 4, 4852, 98071, 183216, 4, 506, 26612, 55823, 1211, 2882, 75230, 18415, 710, 33809, 20315, 1211, 5, 4944, 244640, 2442, 54260, 1211, 4, 1644, 75230, 36909, 12483, 4, 13342, 55823, 1211, 78683, 93509, 12483, 5, 132, 22426, 67054, 2702, 132213, 119055, 32206, 148346, 90848, 2648, 4, 7201, 26612, 119718, 1644, 29771, 119718, 4, 7508, 142429, 5, 33960, 148346, 5, 194, 59690, 905, 161618, 6, 17800, 33809, 2050, 6, 16011, 22680, 5332, 2884, 4, 292, 2865, 26, 506, 40096, 6235, 92867, 26612, 23741, 9424, 238144, 4269, 91275, 448, 12, 2808, 54260, 119132, 37826, 18225, 1470, 75230, 150020, 20616, 29771 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 183216, 4, 20315, 2050, 564, 126700, 12483, 2451, 6, 148346, 43178, 90848, 148346, 12483, 5, 4, 14004, 2882, 107581, 67512, 30109, 84577, 4, 2648, 12, 36326, 119718, 98071, 26394, 4, 7508, 29766, 5, 4269, 33809, 148346, 5, 194, 36076, 506, 36609, 20616, 28133, 3523, 9719, 4667, 81824, 4667, 28133, 3523, 63976, 4667, 116597, 101080, 31467, 14081, 17190, 506, 133111, 148346, 54260, 194706, 4231, 33809, 20315, 1211, 10069, 114955, 905, 13845, 116174, 46598, 23292, 187417, 6093, 43700, 292, 2442, 33809, 6, 148346, 98071, 4852, 57277, 17824, 75230, 101608, 4269, 73697, 5, 132, 114788, 163139, 2702, 148346, 90848, 2648, 4, 119055, 23173, 36326, 194, 50490, 145146, 6, 36484, 4, 6, 145146, 9174, 54260, 2050, 74, 56052, 4269, 33809, 18415, 24377, 46598, 16932, 4, 68697, 26659, 26, 28726, 6, 212484, 17190, 148346, 12483, 4, 506, 448, 127914, 56976, 4, 14857, 506, 25093, 31467, 3111, 31467, 10184, 142785, 5, 18553, 2648, 12890, 17806, 46685, 186565, 2648, 4, 119055, 23173, 36326, 194, 1126, 16, 12890, 20260, 4113, 4, 22426, 98071, 20260, 4113, 4, 48775, 25207, 9424, 98071, 20260, 4113, 5, 23173, 4113, 4113, 4, 1982, 23173, 26394, 4, 31249, 98071, 18415, 620, 120467, 4, 101296, 4667, 4838, 6, 148346, 120467, 5, 27720, 76216, 2442, 2205, 6, 448, 5, 14004, 22426, 33809, 4, 29659, 98071, 54260, 4, 710, 33809, 5666, 59461, 212915, 5, 21106, 18415, 6, 148346, 29771, 148346, 4113, 117902, 3131, 71804, 32054, 40096, 3131, 5, 4, 137218, 20260, 13845, 3373, 2702, 71577, 7511, 49597, 4484, 148346, 137218, 28726, 4, 73095, 55546, 5, 33960, 148346, 50258, 12890, 20260, 4113, 4, 2702, 98071, 20260, 4113, 5, 75578, 98071, 1644, 4, 3131, 16932, 98071, 1644, 5, 137218, 92867, 23269, 4, 2702, 26612, 1982, 23269, 5, 97634, 36326, 4, 15529, 120467, 4113, 5, 132, 15096, 29771, 94741, 25603, 48105, 506, 6093, 26394, 4, 59919, 26394, 5, 204403, 2702, 48904, 33809, 7972, 33809, 4, 506, 98071, 26394, 4484, 33809, 7972, 33809, 5, 26612, 16175, 98071, 6, 148346, 48904, 17645, 4, 170355, 212484, 2882, 192183, 17645, 6, 76776, 7508, 232187, 142170, 5, 20260, 4, 905, 48904, 4484, 4, 4852, 148346, 48904, 4484, 5, 23173, 2882, 33809, 6, 150349, 40096, 3131, 4, 26612, 6, 170355, 101328, 69106, 117902, 4944, 127827, 59929, 3131, 5, 132, 31623, 3149, 4484, 9934, 98071, 2702, 212915, 4, 6, 148346, 23173, 113889, 119718, 4, 9183, 148346, 1644, 5, 4269, 75230, 5, 16, 55102, 14004, 7972, 33809, 4, 3944, 33809, 7972, 33809, 4, 14857, 506, 6319, 33809, 7972, 33809, 5, 43590, 61621, 6, 148346, 16870, 6093, 4, 14857, 506, 34076, 48350, 6093, 5, 37016, 2865, 37016, 4, 29659, 2442, 75230, 1470, 98071, 1211, 55242, 4484, 5, 78683, 48253, 165354, 10184, 49597, 16932, 4, 506, 98071, 506, 59461, 1211, 29434, 37016, 5, 132, 148346, 112690, 2884, 22753, 2702, 212915, 4, 6, 148346, 23173, 113889, 119718, 4, 7972, 148346, 1644, 5, 33960, 148346, 16, 63258, 2442, 12415, 3373, 39083, 94741, 96986, 4, 7916, 49597, 6093, 4269, 33809, 148346, 6093, 76776, 96986, 4, 4852, 171428, 6235, 39293, 4113, 12483, 4838, 364, 21106, 148346, 4113, 4838, 47332, 2451, 4852, 54260, 151614, 148346, 12483, 6, 2050, 26, 1644, 98071, 2442, 13845, 1470, 75230, 2702, 8903 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2882, 48775, 47332, 5, 2648, 98071, 23269, 67882, 25207, 4, 48253, 29771, 448, 36326, 112216, 20315, 1211, 78683, 153222, 6, 48775, 148346, 4113, 4, 87311, 20260, 710, 57277, 506, 4113, 5, 21847, 98071, 1211, 3523, 7972, 68558, 4, 2442, 75230, 4113, 1054, 29771, 2865, 148346, 5, 25603, 18415, 42572, 21292, 109316, 905, 98071, 125830, 4, 15622, 23173, 36419, 5, 65283, 2442, 6093, 364, 68558, 43649, 20616, 96256, 75230, 7201, 26, 1211, 6, 90848, 4667, 4, 26612, 97816, 6319, 33809, 63532, 4, 7511, 49597, 16803, 12023, 76776, 92867, 2882, 5, 35189, 9934, 59461, 19302, 98071, 23405, 2882, 12, 123844, 4, 9424, 75230, 4, 2442, 12415, 4, 10184, 49597, 6093, 4, 7916, 49597, 23269, 6293, 4, 55242, 13805, 4, 98071, 148346, 12483, 4, 4838, 12890, 4, 129891, 4, 6, 148346, 20616, 12483, 5, 14857, 506, 15857, 92867, 98071, 2050, 4, 119055, 23173, 36419, 16, 62155, 2451, 6, 148346, 21106, 68558, 4, 6, 148346, 21106, 68558, 4, 45629, 33809, 6, 148346, 98071, 4852, 34079, 32, 2451, 6, 137218, 4667, 6, 148346, 98071, 1211, 112452, 657, 33809, 148346, 1644, 98071, 1211, 5, 14004, 16667, 4113, 4, 6, 54561, 54260, 4113, 4, 13982, 17645, 4, 10184, 49597, 123073, 4, 7916, 23269, 25603, 4, 55242, 142785, 4113, 4, 4852, 98071, 148346, 65482, 4, 4838, 4944, 244640, 18415, 4, 7511, 23269, 4, 9424, 20616, 23269, 4, 109316, 25603, 4, 6, 18250, 109316, 159696, 5, 75230, 111571, 19302, 54260, 7511, 47351, 4, 119055, 23173, 36326, 194, 60978, 14004, 16667, 4, 6, 238144, 4, 204403, 28726, 125830, 26612, 710, 5, 12415, 4, 42572, 98071, 6093, 4, 29771, 7201, 21660, 98071, 6093, 5, 7916, 23269, 6293, 4, 55242, 13805, 4, 506, 186955, 23050, 30750, 142785, 5, 2442, 148346, 12483, 4, 4838, 4944, 244640, 2882, 4, 26612, 4269, 33809, 18415, 6, 76776, 4944, 244640, 2882, 4, 49008, 4, 2648, 98071, 1751, 12483, 5, 23269, 42023, 292, 7508, 6093, 220224, 59461, 4, 109316, 6293, 292, 7508, 6093, 41764, 23847, 4, 18250, 109316, 6293, 292, 7508, 6093, 6, 186145, 61397, 5, 2442, 12415, 26394, 42023, 292, 1285, 49597, 6, 148346, 54260, 153222, 1211, 4, 59919, 26394, 42023, 292, 1285, 49597, 25093, 31467, 710, 26, 10918, 1211, 4, 36909, 33809, 36909, 26394, 42023, 4269, 90848, 3131, 12483, 292, 26612, 364, 21106, 148346, 4113, 57906, 77518, 23292, 98071, 50853, 12483, 194, 132, 506, 50856, 2702, 6, 48904, 97594, 82576, 4, 119055, 23173, 36326, 16, 1054, 23173, 710, 183718, 4151, 36909, 2884, 6150, 13982, 905, 20911, 1470, 98071, 1211, 41764, 20260, 2702, 163139, 49597, 1644, 23269, 158197, 148346, 4, 86733, 26, 1211, 3523, 33809, 18553, 12498, 710, 11540, 16, 119718, 23173, 710, 84577, 5, 14004, 16667, 4, 564, 75230, 4, 7201, 39083, 98071, 26394, 5, 2442, 12415, 4, 10184, 49597, 6093, 4, 29771, 7916, 10918, 6093, 5, 7916, 49597, 23269, 6293, 4, 55242, 13805, 4, 21106, 18415, 17288, 142785, 5, 3111, 31467, 18415, 6, 76776, 40920, 5, 8580, 4, 6, 26394, 42023, 4, 31249, 29771, 36909, 12483, 6235, 42023, 5, 109316, 6293, 4, 3069, 109316, 6293, 4, 2932, 64260, 364, 109316, 6293, 5, 2442, 12415, 26394, 42023, 4, 6, 59919, 26394, 42023, 5, 17160, 75230, 4113, 6, 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 ]
[ 29025, 12483, 5, 17268, 193338, 42023, 4, 55242, 115650, 42023, 4, 7916, 195054, 30109, 4113, 4944, 26394, 1211, 5, 7511, 57619, 20616, 1211, 4, 3069, 171433, 10918, 49597, 5666, 4, 27720, 76216, 2442, 6, 112452, 6, 48775, 57619, 98071, 5666, 5, 132, 119718, 98071, 36419, 23847, 142429, 4, 119055, 23173, 2702, 5, 33960, 148346, 5, 16, 59741, 2442, 6093, 6, 88660, 4113, 21106, 4, 4151, 6, 88660, 4113, 21106, 506, 64260, 21776, 2050, 6319, 13159, 13845, 74806, 203749, 12483, 4, 6093, 7508, 34533, 3523, 98071, 29659, 1054, 98071, 7916, 49597, 1644, 23050, 8903, 44478, 37826, 6, 23173, 23174, 79238, 203749, 12483, 5, 29771, 35189, 123959, 4, 29771, 35189, 3069, 2004, 29771, 35189, 7508, 12415, 4, 29771, 35189, 42572, 98071, 6093, 4, 29771, 35189, 10184, 49597, 5666, 6293, 4, 29766, 6093, 55242, 13805, 4, 29771, 35189, 9934, 98071, 148346, 12483, 4, 29771, 35189, 4838, 4944, 244640, 2882, 4, 29771, 35189, 6, 129891, 4, 29771, 35189, 6, 26394, 42023, 77518, 5, 132, 22426, 5, 5332, 22426, 29659, 54260, 1211, 4, 21374, 2882, 23269, 4, 119055, 23173, 2702, 5, 33960, 148346, 5, 16, 119718, 23173, 710, 84577, 4151, 36909, 33809, 1211, 6235, 36909, 100810, 8248, 4667, 2808, 75230, 4667, 6, 148346, 54260, 4269, 98071, 3111, 148346, 9221, 5666, 1470, 33809, 1211, 3373, 23173, 37016, 5, 2808, 87905, 119718, 23173, 710, 84577, 5, 48904, 75230, 1470, 98071, 4852, 6235, 27720, 76216, 25207, 1211, 2205, 1054, 21106, 98002, 1211, 37826, 3069, 31467, 1982, 90848, 92867, 12483, 4838, 48775, 142785, 5, 119718, 98071, 220440, 6, 48253, 25207, 75290, 6, 48775, 32097, 51723, 3523, 33809, 151614, 148346, 12483, 5, 2808, 75230, 6293, 3069, 31467, 56170, 2442, 98071, 4944, 244640, 96986, 1285, 49597, 4838, 13805, 32, 905, 12483, 4151, 4, 6, 148346, 710, 119055, 13845, 4944, 244640, 12483, 18225, 6, 69336, 148346, 2050, 105235, 42023, 874, 98071, 2882, 4151, 10339, 48775, 8903, 4, 6, 35596, 36909, 93497, 2865, 98071, 2702, 4838, 36723, 76216, 1644, 4, 6428, 5, 6, 148346, 5, 6, 26394, 42023, 4, 9424, 20616, 21295, 51723, 6, 109995, 125523, 1470, 98071, 56417, 6, 148346, 98071, 4852, 4151, 132025, 8903, 8903, 148346, 114436, 9424, 29771, 54574, 6, 4, 2808, 54260, 137765, 98071, 8903, 4852, 42572, 21106, 2451, 26394, 42023, 2077, 129150, 101080, 31467, 14081, 17190, 506, 133111, 22426, 710, 1470, 33809, 54561, 4231, 33809, 25207, 1211, 10069, 114955, 9183, 13845, 2702, 14004, 66293, 4, 6, 238144, 4, 13982, 54260, 4, 42572, 63188, 4, 36909, 98071, 5666, 6293, 4, 75903, 142785, 4, 4852, 98071, 1982, 12483, 4, 4838, 40920, 4, 56052, 4, 6, 26394, 42023, 5, 132, 101080, 14081, 3373, 5666, 54260, 6093, 29771, 119718, 4, 16175, 101608, 78683, 36419, 4, 17494, 29789, 905, 5, 20632, 148346, 5, 194, 148346, 87905, 119718, 23173, 710, 84577, 5, 26612, 48706, 39083, 165592, 3131, 1470, 98071, 26, 6235, 76776, 49008, 23269, 76776, 183216, 247, 26612, 6319, 119273, 13845, 6, 148346, 26612, 3131, 203749, 12483, 4, 506, 64260, 7369, 3523, 98071, 29659, 6235, 119718, 98071, 16803, 15, 8903, 119718, 2808, 33809, 16803, 16, 4852, 98071, 46590, 16175, 34079, 37016, 13159, 6, 23173, 54260, 57619, 33809, 3131, 203749, 12483, 5, 506, 64260, 7369, 6235, 26394 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 506, 21295, 12, 7511, 49597, 16803, 123959, 4, 7511, 49597, 16803, 3069, 54260, 4, 219947, 29434, 54260, 4, 7511, 49597, 16803, 42572, 63188, 4, 7511, 49597, 29659, 42572, 98071, 23269, 6293, 4, 7511, 49597, 29659, 55242, 13805, 4, 98071, 29659, 9934, 98071, 148346, 12483, 4, 7511, 49597, 29659, 4838, 92867, 2882, 4, 7511, 49597, 16803, 3523, 54260, 1211, 4, 7511, 49597, 29659, 6, 26394, 42023, 5, 132, 119718, 23173, 36326, 194, 2648, 120467, 119055, 99766, 137, 7511, 49597, 29659, 155, 6, 148346, 54260, 148932, 36723, 76216, 1644, 119055, 77188, 3069, 31467, 8903, 8903, 148346, 12483, 4, 6, 238144, 1644, 18225, 205416, 3523, 98071, 29659, 6, 26394, 54574, 12483, 4, 119055, 29766, 33809, 2050, 6428, 33809, 2442, 4944, 26, 1211, 26394, 54574, 12483, 4269, 98071, 2882, 18225, 6, 48904, 26, 68438, 506, 25207, 1470, 33809, 1211, 36909, 33809, 1211, 1285, 49597, 6235, 26394, 54574, 18415, 6319, 68558, 4, 9174, 55687, 4, 6, 159696, 48775, 159696, 47063, 2702, 23173, 1982, 12483, 5, 2932, 87905, 119718, 23173, 710, 84577, 5, 16803, 39083, 165592, 2882, 1470, 98071, 4852, 6235, 240863, 12483, 26612, 6, 94741, 4667, 6, 148346, 59929, 203749, 12483, 4, 506, 64260, 7369, 7243, 6235, 905, 98071, 16803, 15, 8903, 47709, 33809, 2702, 2050, 16, 905, 98071, 36909, 98071, 1644, 1751, 98071, 47526, 12483, 7369, 6, 94741, 63020, 8300, 33809, 151614, 148346, 12483, 5, 506, 64260, 7369, 6235, 26394, 506, 21295, 27, 1470, 5, 36324, 5, 119055, 5, 132, 148346, 137218, 28726, 4, 73095, 55546, 5, 33960, 148346, 5, 16, 56641, 71577, 33809, 6, 137218, 23269, 4, 4484, 33809, 5, 4113, 213909, 4113, 5, 31249, 7758, 7508, 174121, 4, 75290, 4113, 874, 174121, 5, 24390, 4, 1982, 54260, 4, 31249, 710, 96986, 4838, 68550, 5, 152440, 49597, 2882, 4, 4484, 76776, 2702, 4, 205513, 5, 4484, 33809, 63532, 4151, 6319, 29766, 21106, 95766, 43649, 142429, 2882, 6, 23173, 12483, 4, 26394, 506, 33716, 7369, 1285, 49597, 23050, 8903, 44779, 2808, 98071, 1211, 6319, 119273, 109316, 6, 23173, 54260, 1211, 12, 14004, 16667, 4113, 4, 6, 8632, 54260, 4113, 4, 2442, 144295, 4, 41764, 98071, 123073, 4, 7916, 49597, 23269, 159696, 4, 1054, 37016, 36419, 4, 30473, 148346, 65482, 4, 4838, 4944, 18415, 4, 5666, 54260, 23269, 4, 9424, 20616, 23269, 5, 132, 2702, 29771, 92867, 40096, 36326, 905, 4, 1054, 23173, 2702, 5, 33960, 148346, 5, 16, 2808, 13556, 16, 119718, 23173, 710, 84577, 5, 71577, 4113, 6, 137218, 23269, 4, 4484, 98071, 36419, 213909, 4113, 4, 31249, 7758, 7508, 174121, 4, 75290, 17645, 874, 174121, 4, 24390, 4, 148346, 98071, 2702, 4, 31249, 98071, 96986, 4838, 68550, 5, 4484, 5666, 5, 2050, 4, 4484, 76776, 2050, 65848, 1644, 5, 4484, 33809, 2882, 2882, 4151, 6, 88660, 16932, 2808, 33809, 1211, 9424, 20616, 21295, 1285, 49597, 23050, 8903, 44779, 5, 98864, 14004, 66293, 4, 123959, 4, 9213, 4, 109316, 6293, 4, 895, 6093, 4, 1470, 33809, 4, 109316, 6293, 4, 6, 109316, 6293, 4, 6, 109316, 6293, 4, 109316, 6293, 4, 6, 109316, 6293, 4, 1470, 33809, 5, 159696, 2442, 3373, 26, 88660, 1211, 9424, 119718, 171433, 10918, 49597, 2932, 77518, 6, 26394, 54574, 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 ]
[ 4, 2451, 710, 16, 1470, 98071, 1211, 10676, 88911, 13845, 23050, 36909, 41595, 9934, 98071, 4667, 8300, 119718, 26612, 109985, 119055, 6093, 16932, 5, 2442, 89184, 51421, 119718, 23173, 36326, 194, 2648, 120467, 55242, 1644, 148346, 4113, 6, 26394, 54574, 76632, 49597, 3131, 107776, 1470, 75230, 4667, 36909, 29766, 4838, 75386, 6, 148346, 165592, 710, 83182, 145813, 98071, 1644, 4, 199145, 6, 148346, 26612, 105235, 506, 2882, 1470, 98071, 1211, 6, 26394, 54574, 12483, 9934, 98071, 4667, 1285, 49597, 42572, 24295, 59461, 6, 156325, 2648, 98071, 364, 141943, 4, 132025, 23269, 506, 75230, 148346, 12483, 41764, 33809, 1211, 7544, 115666, 96986, 223390, 6093, 42572, 8580, 35189, 657, 98071, 20260, 6093, 7508, 183512, 4, 4151, 113889, 4667, 42572, 8580, 55242, 1644, 148346, 12483, 42572, 23174, 6093, 24464, 4151, 2442, 91595, 6093, 12, 4151, 113889, 4667, 125523, 6, 75322, 39083, 95455, 14004, 2932, 65482, 4, 199145, 1470, 98071, 1211, 3373, 4667, 506, 10813, 4151, 8903, 506, 105439, 6, 148346, 98071, 4852, 9424, 119718, 171433, 10918, 49597, 5666, 5, 2451, 29771, 35189, 12, 20632, 171433, 10918, 49597, 2932, 43649, 20616, 2882, 81444, 5, 710, 5, 16, 4838, 119055, 23173, 710, 84577, 4151, 36909, 33809, 1211, 292, 6, 148346, 54260, 710, 5, 657, 5, 5332, 42023, 5, 73419, 14004, 16667, 4, 84475, 3069, 54260, 4, 29771, 35189, 29434, 710, 4, 84475, 10184, 49597, 6093, 4, 29771, 35189, 10184, 49597, 5666, 6293, 4, 84475, 55242, 13805, 4, 29766, 6093, 9934, 98071, 148346, 12483, 4, 6, 29766, 16870, 4838, 40920, 4, 29766, 4113, 6, 129891, 4, 84475, 6, 26394, 42023, 4, 29771, 35189, 6, 109316, 6293, 4, 84475, 3069, 109316, 6293, 4, 29771, 35189, 29434, 710, 26394, 42023, 4, 4484, 33809, 2882, 2882, 364, 21106, 148346, 4113, 6, 238144, 26394, 1211, 5, 4484, 33809, 2882, 2882, 6, 23173, 8580, 7508, 6093, 364, 21106, 148346, 6093, 6319, 76632, 49597, 2932, 2808, 33809, 1211, 657, 17645, 98833, 1751, 75230, 1211, 160238, 70361, 5, 132, 710, 39083, 29771, 87311, 119718, 194, 69072, 14004, 16667, 4, 9424, 119718, 710, 4, 7508, 12415, 4, 1644, 98071, 35189, 4, 657, 98071, 35189, 4, 657, 5, 218241, 12483, 4, 90848, 165354, 4, 148346, 54260, 6093, 34076, 218241, 12483, 74, 86733, 1644, 4, 148346, 6093, 1644, 4, 7201, 29771, 54260, 132, 101080, 14081, 16888, 6093, 29771, 119718, 4, 16175, 101608, 88660, 36419, 4, 4484, 98071, 4113, 159696, 2442, 33960, 148346, 5, 16, 26612, 119055, 23173, 710, 84577, 4151, 36909, 33809, 1211, 2451, 2808, 98071, 1211, 4151, 6, 170355, 2050, 186461, 24464, 4231, 5, 657, 5, 117383, 5, 2808, 38, 10461, 119718, 23173, 710, 84577, 5, 2808, 54260, 16667, 4, 9424, 119718, 710, 4, 7508, 12415, 4, 1644, 98071, 170355, 4, 657, 98071, 170355, 4, 3944, 5, 218241, 1211, 4, 1982, 218241, 1211, 4, 148346, 54260, 59461, 1751, 97634, 38249, 5, 14004, 20260, 4, 148346, 98071, 20260, 4, 132, 34557, 17800, 2050, 6, 75230, 50856, 710, 148346, 4, 27855, 148346, 2442, 77928, 1211, 92867, 13845, 46685, 4269, 33809, 148346, 5, 16, 159696, 1211, 18225, 4151, 36909, 98071, 506, 21295, 60837, 34365, 98071, 2050, 3523, 98071, 29659, 4, 112452, 4269, 33809, 96986, 6, 170645, 1470, 33809, 1211, 874 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 34533, 3523, 98071, 126934, 6093, 95455, 37826, 6235, 146887, 4, 9424, 20616, 21295, 18225, 4852, 98071, 4667, 1470, 75230, 2702, 874, 98071, 2702, 10676, 657, 98071, 2442, 13845, 2200, 230764, 159696, 51723, 8947, 21374, 2702, 2702, 1470, 75230, 2702, 95455, 141879, 119718, 29766, 2702, 4, 1470, 98071, 1211, 95455, 4838, 210228, 4, 36324, 4151, 37826, 2648, 120467, 6235, 2882, 33809, 1211, 5, 69072, 119718, 23173, 710, 84577, 5, 123844, 4, 3069, 4, 7508, 12415, 4, 1644, 98071, 25207, 4, 657, 98071, 25207, 4, 3944, 4, 29771, 4113, 12483, 4, 148346, 218241, 12483, 74, 3131, 98071, 25207, 4, 2932, 2865, 98071, 25207, 5, 148346, 98071, 4852, 2882, 4838, 448, 5, 132, 2648, 29766, 109316, 3373, 218241, 165592, 3131, 4, 119055, 23173, 36326, 194, 2932, 38, 10461, 119718, 23173, 710, 84577, 14004, 16667, 4, 6, 8632, 710, 4, 7508, 12415, 4, 1644, 98071, 48775, 4, 657, 98071, 48775, 4, 657, 54260, 5, 218241, 12483, 4, 90848, 165354, 4, 148346, 71512, 1751, 97634, 165354, 5, 29771, 20260, 4, 148346, 29771, 20260, 4, 29659, 710, 20260, 5, 132, 121709, 36326, 1054, 29771, 148346, 6093, 212915, 4, 1470, 98071, 163177, 148346, 98071, 26394, 4, 1644, 33809, 148346, 1644, 98071, 59461, 33960, 148346, 5, 16, 710, 55102, 119718, 23173, 710, 84577, 5, 14004, 66293, 4, 6, 98594, 4, 7508, 12415, 4, 7972, 33809, 8903, 4, 3944, 33809, 23269, 4, 657, 54260, 5, 218241, 12483, 4, 148346, 218241, 12483, 4, 148346, 2442, 54260, 4113, 657, 218241, 12483, 5, 2808, 75230, 6293, 1285, 49597, 6, 148346, 2442, 98071, 4484, 43649, 20616, 2882, 4838, 364, 68558, 4, 25391, 15907, 7369, 12, 10184, 49597, 4484, 4, 41764, 98071, 4484, 4, 17288, 46685, 1644, 4, 26394, 16932, 1644, 4, 4484, 33809, 2050, 3069, 874, 98071, 2442, 2205, 115222, 222572, 1644, 5, 16629, 33809, 14081, 17190, 506, 133111, 148346, 710, 1470, 33809, 54561, 4231, 33809, 20315, 1211, 10069, 114955, 119718, 710, 21295, 26, 13845, 1470, 98071, 4667, 1285, 49597, 2442, 5332, 4, 46598, 34654, 104149, 4, 26612, 1751, 98071, 2702, 109316, 874, 98071, 2882, 3056, 12483, 5, 8300, 75230, 6, 186578, 6, 101328, 8903, 1211, 9934, 98071, 4667, 4, 609, 46533, 63831, 1751, 203749, 12483, 9934, 98071, 4667, 5, 132, 31177, 1644, 1157, 506, 220273, 36909, 98071, 20260, 13845, 4, 119055, 23173, 36326, 194, 89647, 14004, 16667, 4, 6, 238144, 4, 7508, 12415, 4, 2442, 98071, 57277, 4, 7508, 98071, 57277, 4, 7508, 54260, 5, 2442, 98071, 83957, 4, 7508, 12, 95494, 4, 68313, 35596, 26612, 95494, 710, 16, 1211, 14004, 66293, 4, 6, 238144, 4, 29434, 54260, 5, 119718, 905, 23173, 36326, 418, 5, 710, 16, 84475, 12, 7508, 98071, 36326, 4, 7508, 98071, 36326, 4, 148346, 12415, 36419, 6, 78683, 36326, 5, 2808, 89647, 119718, 23173, 710, 84577, 5, 14004, 66293, 4, 3069, 54260, 4, 29434, 54260, 4, 2442, 98071, 36326, 4, 7508, 98071, 18415, 4, 34654, 5, 2442, 98071, 36326, 4, 7508, 98071, 18415, 4, 88660, 69801, 18133, 36326, 4, 36909, 9221, 13845, 620, 4113, 22426, 2882, 9934, 98071, 4667, 125523, 5, 132, 119718, 39083, 6293, 193042, 164863, 92605, 4, 119055, 23173, 36326, 194, 85520, 75230, 58679, 2451, 506, 64260 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6235, 25616, 20616, 2882, 4, 14857, 506, 2451, 35189, 364, 68558, 4, 43590, 61621, 2451, 2442, 16870, 10184, 37016, 13845, 98071, 4484, 4, 1644, 75230, 37826, 6235, 111684, 33716, 4838, 119055, 29771, 8903, 1211, 2865, 98071, 2882, 9424, 98071, 69801, 13159, 5, 123844, 2451, 26612, 6, 99611, 13845, 4, 8300, 75230, 2451, 26612, 9424, 119718, 710, 164461, 4, 13982, 710, 2451, 148346, 165592, 59929, 12483, 4, 7916, 49597, 6093, 2451, 25207, 35189, 4, 7916, 49597, 23269, 6293, 2451, 7916, 49597, 23405, 6093, 4, 39293, 142785, 2451, 4484, 98071, 50856, 6093, 74, 4852, 98071, 1982, 12483, 2451, 8903, 21733, 98071, 148346, 12483, 74, 26612, 40920, 2451, 8903, 236376, 74, 129891, 2451, 2648, 98071, 22518, 1211, 74, 89930, 12483, 2451, 8903, 39293, 506, 12483, 12, 109316, 6293, 2451, 35189, 1285, 61397, 74, 18250, 109316, 6293, 2451, 35189, 41764, 23847, 74, 2442, 54260, 26394, 42023, 2451, 2648, 98071, 6, 148346, 54260, 153222, 1211, 74, 36909, 6093, 26394, 42023, 2451, 2648, 98071, 25093, 31467, 710, 26, 10918, 1211, 74, 7201, 33809, 36909, 26394, 42023, 4269, 90848, 3131, 12483, 2451, 26612, 364, 21106, 30750, 154739, 1211, 15, 2932, 98071, 50853, 12483, 194, 132, 2932, 39083, 20315, 123736, 31249, 710, 92605, 4, 119055, 23173, 36326, 194, 119718, 23173, 710, 84577, 12483, 4151, 7201, 33809, 1211, 6235, 7201, 33809, 49008, 9934, 98071, 4667, 148346, 54260, 37189, 54561, 148346, 33809, 48974, 2200, 874, 23173, 37016, 4, 4231, 5, 657, 5, 5332, 42023, 2808, 33809, 1211, 1470, 98071, 1211, 41764, 93449, 5, 2808, 91887, 119718, 23173, 710, 84577, 5, 14004, 66293, 2451, 26612, 3523, 98071, 2702, 13845, 4, 13342, 54260, 2451, 26612, 9424, 119718, 98071, 1644, 98071, 23405, 4, 13982, 54260, 2451, 2865, 119718, 18406, 4, 7916, 6093, 2451, 25207, 35189, 4, 7916, 49597, 23269, 6293, 2451, 7916, 49597, 23405, 6093, 4, 25603, 142785, 2451, 4852, 98071, 23405, 6093, 4, 4852, 98071, 148346, 12483, 2451, 22426, 98071, 16803, 75230, 1644, 12483, 4, 26612, 4944, 244640, 2882, 2451, 26612, 220224, 61397, 4, 5666, 54260, 1211, 2451, 20315, 2050, 10339, 23847, 5, 7201, 23847, 47940, 850, 4, 2702, 17410, 4667, 506, 20635, 4, 26394, 42023, 4269, 98071, 50853, 12483, 230764, 1470, 98071, 8300, 29771, 159696, 2050, 132, 149473, 194, 132, 5666, 36909, 124470, 7972, 6, 148346, 48775, 66168, 49597, 4484, 4, 6, 186955, 88660, 16667, 2882, 84577, 98071, 1211, 4, 119055, 29771, 54574, 98071, 1211, 194, 82839, 148346, 110703, 2754, 2205, 123959, 4, 121495, 1470, 98071, 4852, 9424, 119718, 710, 4, 75230, 58679, 1470, 98071, 4852, 29434, 710, 4, 148346, 6093, 148346, 2442, 3056, 42572, 98071, 6093, 4, 62812, 448, 1470, 98071, 1211, 42572, 98071, 23269, 6293, 5, 119718, 905, 23173, 3131, 12483, 5, 88942, 23173, 98071, 5666, 26, 8300, 26612, 4, 2442, 48775, 26, 8300, 26612, 5, 2702, 29771, 20315, 4, 35044, 101328, 25207, 5, 2808, 98071, 165354, 4, 22426, 7682, 12483, 4, 13458, 98071, 95564, 5, 132, 119718, 23173, 36326, 194, 2808, 69622, 119718, 23173, 710, 84577, 2808, 98071, 23269, 26612, 4, 905, 59929, 26612, 4, 1982, 29771, 20315, 4, 17160, 101328, 20315, 5, 2808, 98071, 39340, 4, 1982, 98071, 39340, 4, 148346, 2442, 98071, 5, 4484, 5, 132, 5666, 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 ]
[ 105235, 21338, 4, 119055, 23173, 2702, 5, 33960, 148346, 5, 16, 85416, 14004, 66293, 4, 3069, 54260, 4, 29434, 54260, 4, 2648, 98071, 21374, 1644, 17645, 32899, 76216, 33716, 56170, 148346, 18640, 185758, 6093, 3373, 26, 2865, 54260, 20315, 1644, 6, 105515, 9934, 98071, 4667, 6, 68558, 4, 2808, 98071, 4852, 1751, 75230, 1211, 364, 21106, 1982, 29434, 710, 5, 132, 148346, 1644, 75230, 23269, 4, 119055, 23173, 2702, 5, 33960, 148346, 5, 16, 2808, 10837, 16, 119718, 23173, 710, 84577, 5, 14004, 66293, 4, 7508, 75230, 4, 29434, 710, 4, 2648, 98071, 6319, 21106, 17645, 32899, 76216, 33716, 56170, 148346, 54260, 4, 2648, 12, 6319, 39083, 17645, 4269, 98071, 2882, 4838, 19302, 23174, 1639, 3142, 2648, 98071, 6, 148346, 29771, 148346, 4113, 4269, 98071, 2882, 4838, 67826, 20260, 5, 132, 22426, 5, 5332, 22426, 29659, 8580, 4, 21374, 2882, 23269, 5, 119718, 23173, 2702, 5, 33960, 148346, 5, 16, 6, 26, 710, 16, 84475, 12, 4151, 21374, 49268, 204982, 4838, 19302, 98071, 23405, 4, 2648, 98071, 6319, 39083, 17645, 4269, 98071, 2882, 4838, 67826, 49597, 20260, 5, 132, 119718, 23173, 36326, 194, 4046, 17727, 119718, 23173, 710, 84577, 5, 2808, 54260, 66293, 4, 9424, 119718, 710, 4, 29434, 54260, 4, 2648, 98071, 6319, 21106, 17645, 204982, 18583, 148346, 710, 74, 2648, 98071, 27855, 22426, 2050, 12483, 657, 75230, 55823, 1211, 125523, 4, 21106, 4113, 3373, 36609, 2205, 145813, 90848, 4667, 5, 132, 22426, 67054, 2702, 132213, 6, 238144, 710, 148346, 90848, 2648, 4, 148346, 26612, 119718, 1644, 29771, 9183, 4, 7508, 142429, 5, 33960, 148346, 5, 16, 80847, 48775, 4852, 4, 6428, 48775, 4, 6, 178107, 4, 16175, 23269, 15231, 25207, 4, 292, 1644, 29771, 2865, 40096, 98071, 78683, 6, 142170, 6, 153222, 15231, 25207, 5, 142170, 10184, 49597, 2702, 40096, 4, 142170, 6, 125830, 15907, 40096, 4, 95564, 39083, 88660, 6, 148346, 33809, 12415, 29060, 2451, 15529, 26612, 8300, 40096, 22426, 710, 40096, 32, 132, 609, 448, 6235, 93509, 96986, 4, 6, 148346, 4113, 30750, 119718, 4, 9183, 148346, 1644, 5, 33960, 148346, 5, 2808, 12825, 16, 119718, 23173, 710, 84577, 5, 48775, 4852, 4, 7508, 119718, 26612, 4, 3373, 3131, 98071, 4, 18906, 29060, 98071, 25207, 4, 1644, 29771, 2865, 40096, 98071, 78683, 6, 142170, 41764, 98071, 2702, 21106, 98071, 5, 142170, 6, 64991, 40096, 3131, 4, 142170, 6, 48253, 33809, 2882, 40096, 2882, 4, 88660, 1644, 6, 78683, 12415, 48775, 61722, 98071, 6, 2050, 22426, 40096, 3131, 5, 132, 2932, 29766, 126968, 119718, 4, 657, 33809, 148346, 1644, 5, 33960, 148346, 5, 16, 77671, 48775, 4852, 4, 6428, 119718, 26612, 4, 6, 48253, 98071, 4, 6, 48253, 16932, 98071, 4, 22426, 710, 35596, 3131, 4, 1751, 29060, 48253, 29771, 710, 153222, 1211, 6, 94741, 17645, 4231, 79238, 48253, 5, 1982, 40096, 39340, 6, 90848, 17645, 10184, 48253, 4, 2882, 98071, 1054, 98071, 113889, 3373, 29771, 148346, 17645, 6, 98071, 50273, 5, 132, 1644, 33809, 148346, 79981, 194, 83679, 48775, 4852, 4, 22444, 26612, 4, 40026, 49597, 4, 153222, 2882, 98071, 25207, 4, 41764, 710, 40096, 5, 905, 98071, 3131, 39083, 6, 170355, 710, 48253, 98071, 4484, 204403, 39478 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 40096, 5, 14303, 2442, 33809, 5666, 123736, 1982, 64260, 7511, 49597, 4484, 119718, 710, 148346, 17645, 119859, 710, 29060, 4, 80453, 137218, 2050, 29771, 1054, 155, 6, 170355, 710, 178107, 78683, 905, 98071, 34575, 17645, 71804, 710, 29060, 4, 22426, 32097, 4, 117902, 6293, 4, 2808, 75230, 4, 1470, 75230, 4, 1470, 75230, 4, 2808, 33809, 11556, 48775, 710, 29060, 170355, 710, 48253, 7682, 6, 97634, 710, 5, 33104, 12299, 7972, 6, 148346, 48775, 66168, 49597, 4484, 4, 6, 186955, 88660, 16667, 2882, 84577, 8580, 4, 1054, 29771, 54574, 98071, 1211, 194, 2808, 75230, 4667, 18583, 3131, 80453, 54260, 2882, 1470, 98071, 1211, 41764, 75230, 1644, 12483, 5, 62946, 17645, 92867, 21106, 65146, 2702, 98071, 4484, 151614, 6, 90848, 90848, 2932, 98071, 5, 142170, 41764, 98071, 96743, 175323, 4, 142170, 6, 48253, 98071, 57277, 710, 4, 95564, 39083, 88660, 20315, 2050, 4231, 17310, 13845, 4, 199145, 6, 148346, 155, 1470, 98071, 56417, 10339, 186955, 2808, 75230, 2702, 1285, 49597, 42572, 48775, 8903, 6, 5, 95564, 39083, 88660, 15, 119718, 98071, 36909, 98071, 1644, 247, 506, 186955, 18225, 3069, 31467, 1285, 49597, 1470, 75230, 8903, 1211, 1470, 33809, 1211, 7369, 94741, 63020, 6428, 47351, 6, 35596, 36909, 53414, 15, 2808, 75230, 6293, 7508, 33809, 2702, 98071, 3131, 16, 874, 98071, 57277, 119055, 13845, 4944, 244640, 4113, 8947, 1470, 98071, 4852, 6, 113889, 54574, 5, 6, 225975, 2882, 7369, 8300, 5, 6, 148346, 5, 41764, 710, 40096, 4, 15, 105780, 6293, 247, 6235, 506, 21295, 18225, 24464, 2808, 98071, 56417, 6, 68558, 6, 148346, 98071, 4852, 10184, 49597, 5666, 6293, 2200, 230764, 6, 159696, 51723, 13159, 21374, 63532, 1470, 75230, 2702, 1285, 49597, 141879, 9424, 29771, 54574, 4, 4151, 8903, 506, 2882, 6, 23173, 75230, 2702, 5, 1470, 75230, 36909, 26, 1211, 55242, 1644, 148346, 12483, 185527, 35189, 113889, 4667, 6235, 101296, 4944, 244640, 2882, 95455, 6, 26394, 54574, 76632, 49597, 3131, 8300, 119718, 98071, 3131, 12483, 1285, 49597, 1470, 98071, 148346, 2442, 98071, 8903, 6, 54260, 23405, 44779, 5, 132, 11851, 1211, 620, 137218, 87311, 119718, 98071, 48253, 4, 33718, 3131, 98071, 1211, 194, 14081, 6, 44478, 212915, 26, 2442, 148346, 54260, 1470, 33809, 54561, 6, 54260, 20315, 1211, 12483, 5, 16, 54745, 76776, 4, 76776, 4, 98071, 7201, 21106, 8580, 13845, 148346, 59929, 95494, 71804, 4, 57277, 71804, 6, 125830, 98071, 5, 2882, 98071, 112216, 48253, 4, 2808, 33809, 22426, 40096, 40096, 2882, 5, 171433, 1211, 48775, 4, 22426, 148346, 1644, 49209, 5, 132, 710, 156562, 8009, 13845, 212915, 4, 3496, 244640, 64260, 5, 2050, 4, 148346, 13159, 23173, 26612, 148346, 5, 6, 33809, 148346, 5, 16, 91887, 48904, 25207, 4, 148346, 48904, 20315, 4, 36909, 6093, 2648, 2200, 119055, 29771, 8903, 1211, 74, 2808, 98071, 153222, 28726, 1470, 26, 6235, 119859, 49008, 3069, 31467, 2050, 68697, 6319, 203749, 12483, 5, 69355, 25093, 148346, 98071, 4852, 3069, 31467, 1285, 49597, 4231, 40096, 39340, 4, 7201, 33809, 1211, 1285, 49597, 4231, 40096, 39340, 148346, 15533, 3069, 31467, 7508, 98071, 4231, 40096, 39340, 5, 148346, 2442, 98071, 4, 6, 148346, 2442, 98071, 4, 6, 148346, 98071, 2442, 4, 13458, 12483, 4, 6, 148346 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 25207, 1211, 4, 6, 148346, 90848, 5666, 36909, 12483, 4, 1982, 218241, 4, 6, 148346, 92605, 9721, 75230, 2882, 4, 47351, 3373, 26, 29659, 23173, 148346, 2882, 4, 1470, 98071, 4852, 18225, 16175, 75230, 2882, 5, 1644, 98071, 4944, 244640, 2882, 44779, 4, 657, 98071, 47332, 44779, 2205, 35189, 220224, 2882, 292, 2932, 39083, 2648, 1470, 33809, 1211, 9934, 98071, 1644, 148346, 6093, 6, 212484, 2882, 18225, 105235, 42023, 47351, 874, 26, 15529, 23741, 4, 80264, 18225, 6235, 42023, 5, 148346, 23173, 113889, 119718, 4, 9181, 148346, 5, 119959, 12483, 4, 20315, 1211, 4, 2648, 29766, 1211, 4, 134067, 120467, 29766, 4113, 5, 137218, 95494, 3069, 31467, 2442, 78683, 4, 710, 50273, 81444, 6, 78683, 29631, 78683, 5, 119718, 59929, 6093, 4, 1054, 59929, 6093, 3373, 12, 292, 2808, 133029, 132, 5594, 33809, 10069, 609, 163139, 2702, 148346, 90848, 2648, 4, 119055, 23173, 36326, 16, 710, 119718, 23173, 710, 47351, 4, 48775, 4, 78683, 87311, 48775, 5, 710, 37016, 3069, 31467, 2442, 78683, 4, 68959, 3131, 6, 90848, 224220, 905, 24152, 174121, 4, 36419, 18415, 4, 2865, 98071, 4, 2442, 54260, 2882, 230764, 1285, 49597, 7508, 75230, 18415, 6319, 33809, 506, 5, 132, 710, 5, 17190, 119718, 2442, 98071, 1211, 4, 6, 148346, 39083, 29771, 101328, 119718, 16, 710, 148346, 119959, 119718, 69596, 84577, 5, 12483, 4, 20315, 1211, 4, 2648, 29766, 26612, 4, 905, 98071, 88660, 87311, 14004, 137218, 710, 37016, 3069, 31467, 2442, 78683, 4, 710, 50273, 81444, 224220, 33809, 2442, 78683, 5, 12483, 4, 20315, 1211, 4, 2648, 33809, 4, 166198, 230764, 7508, 12, 7508, 75230, 18415, 6319, 33809, 506, 5, 121763, 2442, 48904, 113889, 1054, 98071, 2702, 26612, 4, 48775, 23405, 29771, 1054, 98071, 2702, 26612, 5, 12483, 4, 25207, 1211, 4, 10069, 4, 2702, 92605, 48775, 2702, 5, 50856, 710, 73095, 5, 2702, 92605, 48775, 2865, 98071, 16747, 26612, 4, 3373, 5, 78683, 21374, 4, 12483, 4, 4, 10069, 4, 2808, 82036, 2808, 9185, 12483, 4, 119718, 69596, 183718, 137218, 7508, 98071, 2702, 26612, 4, 26612, 163139, 49597, 2702, 26612, 4, 2702, 26612, 1470, 98071, 2702, 26612, 4269, 29771, 4, 92605, 48775, 21087, 64659, 3373, 29771, 5, 92605, 48775, 2702, 98071, 5666, 57277, 3373, 98071, 88660, 3373, 29771, 4, 1211, 4, 1982, 12483, 4, 90848, 5, 9719, 16747, 13845, 6, 238144, 2702, 148346, 90848, 2648, 4, 6, 148346, 26612, 75230, 14303, 142429, 5, 33960, 148346, 5, 16, 148346, 133029, 119718, 23173, 710, 48904, 7972, 12483, 4, 20315, 1211, 4, 90848, 5, 4484, 71577, 109316, 2865, 84577, 26612, 67882, 710, 5, 4484, 71577, 109316, 21292, 183718, 26612, 3373, 98071, 78683, 193042, 710, 5, 12483, 4, 20315, 1211, 4, 48775, 33809, 5, 132, 50856, 1211, 60837, 137218, 87311, 119718, 13497, 2882, 4, 657, 142429, 1211, 16, 710, 120840, 4113, 76776, 4, 148346, 4113, 76776, 4, 78683, 48253, 78683, 6, 105235, 76776, 5, 90848, 170355, 3944, 64659, 78683, 4, 78683, 48253, 78683, 67826, 36909, 78683, 5, 26612, 1982, 33809, 2442, 21106, 98071, 4, 75230, 2050, 2050, 26612, 905, 21106, 5, 4, 1644, 29771, 78683, 6, 26394, 42023, 6, 148346, 218241, 5, 36909, 23173, 3131, 80453, 54260, 2702, 1470, 98071, 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 ]
[ 101807, 4113, 76776, 4, 7508, 33809, 2882, 4, 6, 48775, 148346, 26612, 4113, 35596, 3131, 98071, 4484, 4, 1982, 35596, 2882, 98071, 4484, 4, 95494, 148346, 26612, 5, 4113, 76776, 4, 7508, 33809, 26612, 4, 21776, 46053, 35596, 3131, 7682, 4, 148346, 35596, 3131, 5, 4484, 4, 148346, 6093, 27, 4, 615, 710, 2451, 1285, 7508, 75230, 18415, 6, 108209, 5, 119718, 23173, 710, 183718, 5, 23269, 4, 2702, 4, 13497, 6093, 4, 6319, 33809, 13497, 6093, 4, 13159, 5, 23269, 4, 65482, 4, 26612, 148346, 4113, 4, 4484, 33809, 13497, 6093, 4, 119166, 16932, 4, 905, 57277, 148346, 4113, 5, 4, 207221, 1644, 9915, 54260, 6093, 29771, 119718, 4, 63188, 78683, 36419, 4, 16580, 4113, 119718, 5, 33960, 148346, 5, 16, 118628, 35596, 109316, 4, 1982, 35596, 109316, 4, 3131, 23269, 28726, 6, 121709, 36326, 26, 28726, 247, 95494, 710, 109316, 15, 121709, 36326, 5594, 26, 28726, 194, 26612, 17645, 18415, 4, 148346, 71577, 4113, 18415, 4, 4484, 5666, 137377, 5, 132, 5594, 33809, 10069, 609, 6, 238144, 2702, 148346, 90848, 2648, 4, 119055, 23173, 36326, 16, 2808, 13574, 16, 905, 23173, 21292, 7511, 35596, 109316, 4, 148346, 35596, 109316, 4, 3131, 98071, 4484, 21106, 98071, 36326, 5, 23173, 109316, 4, 148346, 26612, 61541, 4113, 4, 4484, 5666, 137377, 5, 132, 2808, 79422, 1054, 54260, 50856, 710, 148346, 4, 27855, 148346, 2442, 77928, 1211, 5, 4944, 244640, 13845, 2050, 33960, 148346, 22892, 118628, 119718, 23173, 710, 84577, 35596, 109316, 4, 7201, 35596, 109316, 4, 2882, 98071, 4484, 109316, 6, 95494, 1982, 26612, 55823, 4, 12415, 5, 7201, 26612, 55823, 4, 20315, 88660, 2882, 5, 4, 2702, 26612, 4944, 244640, 40096, 3131, 119718, 23173, 2702, 5, 33960, 101080, 31467, 14081, 17190, 506, 212915, 148346, 710, 1470, 33809, 54561, 4231, 33809, 25207, 1211, 10069, 21374, 5666, 25207, 7508, 159696, 21295, 2932, 13574, 16, 119718, 23173, 710, 84577, 35596, 109316, 4, 148346, 35596, 109316, 4, 3131, 98071, 4484, 109316, 4, 1751, 54260, 4113, 5, 4944, 71577, 6093, 33809, 4, 148346, 71577, 16870, 905, 4, 4484, 113889, 2882, 5, 132, 2865, 5, 42572, 128117, 212915, 4, 3373, 29771, 4944, 174121, 4113, 119718, 194, 131290, 43178, 2442, 109316, 4, 148346, 141943, 109316, 4, 2808, 7682, 48775, 148346, 29771, 292, 29771, 87311, 1211, 43649, 48904, 26394, 2808, 98071, 16629, 23173, 98071, 1644, 98071, 5, 2808, 98071, 4484, 98071, 4, 22426, 98071, 4484, 98071, 4, 148346, 29771, 2865, 148346, 21106, 98071, 4484, 98071, 21106, 710, 72321, 4, 22426, 21106, 710, 72321, 4, 55823, 66293, 5, 132, 506, 6093, 7611, 6, 148346, 6093, 110970, 2702, 54260, 1211, 4, 1751, 98071, 3131, 28726, 119718, 98071, 48253, 4, 23847, 142429, 59461, 33960, 148346, 5, 16, 112227, 216510, 1211, 7201, 33809, 16932, 1211, 4, 7916, 49597, 16932, 1211, 4, 212915, 8903, 28726, 1751, 29771, 148346, 4113, 4, 7508, 75322, 57277, 57277, 5, 4484, 33809, 16803, 7369, 6, 101328, 4, 4484, 33809, 63532, 7369, 3523, 98071, 29659, 4, 1644, 98071, 98833, 7508, 6093, 213909, 48253, 98071, 46985, 75230, 7201, 26, 1211, 16175, 98071, 3131, 101296, 47332, 4151, 213909, 48253, 7682, 12, 874, 98071, 7511, 63593, 33809, 5, 56052, 657, 98071, 30750, 4, 4269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33809, 18415, 97816, 5, 76632, 1211, 4, 148346, 4113, 69106, 4, 1982, 29771, 4667, 5, 132, 2882, 75230, 148346, 4113, 6, 71804, 13805, 4, 118445, 77928, 49597, 1211, 4, 4944, 244640, 13845, 46685, 4269, 33809, 148346, 5, 2808, 121387, 216510, 4113, 4, 2882, 216510, 4113, 4, 2882, 33809, 2050, 123073, 905, 40096, 3131, 39478, 2050, 4, 195054, 46598, 4, 65577, 4, 1644, 23173, 59461, 40096, 3131, 5, 16580, 2451, 2882, 7369, 6, 101328, 4, 4484, 33809, 63532, 7369, 3523, 98071, 16803, 4, 1644, 98071, 98833, 7508, 6093, 213909, 1982, 15949, 46985, 75230, 7201, 26, 1211, 16175, 98071, 3131, 5, 225975, 2882, 4151, 213909, 48253, 5, 4484, 12, 101296, 23269, 4, 874, 98071, 23269, 6, 97634, 5, 2865, 71512, 4, 3944, 30750, 4, 2932, 33809, 18415, 32054, 29771, 5110, 31467, 2442, 75230, 418, 5, 135541, 57619, 4484, 4, 7508, 142429, 5, 33960, 148346, 5, 16, 148346, 121387, 119718, 23173, 710, 84577, 5, 35596, 48775, 4, 2882, 35596, 48775, 4, 34079, 16932, 29771, 119718, 40096, 3131, 74, 8903, 28726, 1751, 39083, 12483, 657, 23173, 59461, 29771, 119718, 40096, 3131, 5, 4484, 33809, 16803, 7369, 6, 101328, 4, 4484, 33809, 16803, 7369, 3523, 98071, 29659, 4, 1644, 98071, 13497, 7508, 6093, 213909, 48253, 98071, 46985, 75230, 36909, 26, 1211, 16175, 98071, 3131, 5, 225975, 2882, 1285, 49597, 6, 78683, 7611, 12, 9719, 5332, 101296, 16175, 208048, 4, 1644, 98071, 148346, 4113, 32054, 33809, 24621, 32054, 75230, 5, 132, 105514, 6319, 33809, 2442, 84577, 4, 6, 50273, 4113, 4113, 54260, 4113, 4, 90848, 20315, 46685, 33960, 148346, 5, 16, 125136, 4113, 2932, 34709, 98071, 26394, 4484, 4, 109636, 179561, 98071, 26394, 4484, 4, 153222, 136108, 171433, 98071, 48706, 39083, 98071, 26394, 4484, 5, 76776, 192183, 29771, 163139, 49597, 22426, 23173, 26612, 4, 76776, 193012, 29771, 6, 148346, 4113, 69106, 5, 119055, 23173, 710, 84577, 12, 905, 148346, 135118, 710, 5, 132, 3131, 98071, 55546, 29766, 23269, 4, 7508, 142429, 5, 33960, 148346, 194, 123001, 135118, 1644, 4, 17645, 177243, 4, 29771, 78683, 32887, 4, 2808, 98071, 34365, 26612, 7508, 98071, 101296, 32887, 5, 2808, 33809, 7511, 3523, 64260, 4, 4484, 33809, 3131, 1470, 98071, 1211, 9721, 64260, 1211, 905, 23173, 710, 4, 1054, 23173, 98071, 4, 148346, 33809, 148346, 710, 48706, 64260, 5, 132, 2808, 98071, 36419, 4113, 58571, 84577, 4, 6428, 39293, 128722, 12, 26394, 4, 90848, 2648, 5, 4269, 33809, 2442, 5, 16, 13023, 16, 135118, 4113, 4, 148346, 135118, 4113, 4, 124470, 26659, 9424, 135118, 4113, 5, 52, 5, 65577, 620, 120467, 148346, 6093, 1644, 6, 148346, 26612, 2050, 5, 159377, 4, 6, 159377, 4, 7201, 23173, 212484, 3523, 26, 29659, 2442, 7682, 5, 710, 47351, 4, 4231, 47351, 4, 27720, 76216, 2442, 2205, 6, 448, 12, 2808, 5, 149364, 4, 29659, 98071, 59919, 4, 710, 33809, 23405, 6093, 212915, 5, 132, 710, 156562, 17824, 24295, 148346, 6093, 2932, 4, 657, 33809, 88660, 905, 4, 222572, 1644, 5, 4269, 33809, 148346, 5, 16, 133029, 43178, 2442, 39293, 4, 20315, 16747, 25603, 4, 2442, 98071, 25207, 6, 48775, 30750, 22426, 48904, 98071, 6235, 76776, 107581, 5, 8300, 33809, 2050, 4, 49792, 4, 149364, 23269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 204403, 2050, 5, 2808, 75230, 2702, 4, 2865, 75230, 4852, 4, 8903, 506, 6, 23173, 75230, 2702, 5, 132, 17645, 1982, 99295, 6428, 33809, 148346, 13845, 212915, 4, 7508, 98071, 159696, 1211, 5, 4944, 244640, 13845, 46685, 30109, 54260, 4852, 5, 1388, 116553, 135118, 4113, 4, 2648, 148346, 135118, 4113, 4, 10918, 39340, 7508, 24621, 4, 26612, 12890, 4, 94741, 148346, 710, 4, 2442, 33809, 18415, 6428, 24621, 5, 661, 16, 13845, 48253, 98071, 2050, 4, 125830, 13845, 48253, 98071, 2050, 5, 55546, 98071, 4667, 1470, 98071, 1211, 137, 22426, 20260, 2702, 4, 1054, 98071, 1644, 23269, 4, 3947, 25207, 155, 25491, 75230, 2050, 4, 2865, 75230, 4852, 4, 8903, 506, 6, 23173, 75230, 2050, 5, 132, 67054, 14088, 6235, 44478, 4, 220273, 95564, 16870, 4, 28726, 148346, 1644, 5, 33960, 148346, 5, 16, 129507, 43178, 25207, 4, 7201, 43178, 25207, 4, 13342, 5666, 25207, 14856, 74, 26612, 148346, 1644, 4, 7201, 26612, 17160, 4, 2648, 98071, 4231, 65482, 5, 2808, 125897, 4, 7916, 49597, 39340, 4, 23847, 40096, 40096, 125897, 5, 661, 16, 171433, 48253, 7682, 4, 2050, 171433, 48253, 7682, 4, 170355, 710, 47351, 41764, 710, 46598, 5, 132, 186565, 14081, 3373, 142170, 90848, 119718, 4, 15857, 6093, 46985, 2702, 37016, 98071, 4113, 159696, 2442, 4269, 33809, 148346, 5, 16, 117413, 12483, 51723, 4, 2882, 98071, 59461, 4, 96743, 76216, 39083, 29771, 60980, 200117, 98071, 59461, 5, 2702, 29766, 39083, 29771, 88660, 4, 2882, 98071, 88660, 6, 97634, 88660, 5, 13845, 98071, 4484, 4, 148346, 13845, 5, 4484, 4, 148346, 29771, 2050, 5, 132, 710, 47293, 2754, 6, 75230, 2702, 148346, 90848, 2648, 4, 119055, 23173, 36326, 194, 26612, 119055, 23173, 710, 84577, 6235, 7916, 49597, 13497, 9934, 98071, 4667, 2205, 137, 22426, 20260, 2702, 2909, 2808, 88235, 119718, 23173, 710, 84577, 5, 141943, 4113, 7508, 98071, 7511, 4, 2702, 26612, 119718, 23173, 4113, 6, 78683, 148346, 98071, 3111, 31467, 5, 26612, 710, 33809, 4, 148346, 26612, 710, 33809, 4, 148346, 29771, 2050, 5, 132, 4484, 98071, 57619, 4484, 4, 7508, 142429, 5, 33960, 148346, 16, 74329, 4113, 57619, 26612, 4, 159696, 57619, 26612, 4, 75230, 4484, 208048, 7201, 26612, 5, 100863, 98071, 4667, 6, 5, 22426, 20260, 2702, 155, 6, 12130, 5, 81915, 22426, 710, 194706, 68173, 1211, 10069, 114955, 25603, 21295, 4, 3373, 120467, 4, 41764, 33809, 48775, 5, 68959, 2702, 98071, 2050, 4, 68959, 2882, 98071, 2050, 5, 30979, 4, 7508, 163177, 98071, 2050, 4, 6, 87311, 57277, 13292, 21106, 120467, 26612, 5, 12483, 4, 95766, 4, 30473, 2808, 23269, 4, 710, 26, 2702, 98071, 2442, 4838, 165513, 98071, 39340, 1644, 10339, 64260, 6093, 48904, 8580, 5, 119718, 23173, 36326, 194, 5, 29557, 4113, 4, 2442, 98071, 5666, 8903, 4, 609, 26659, 3373, 98071, 5666, 8903, 292, 17645, 13805, 1470, 33809, 1211, 6, 136108, 54260, 2050, 98071, 2932, 3523, 33809, 2865, 6, 148346, 12415, 5, 14004, 55546, 4, 29659, 2442, 29766, 1644, 4, 4484, 33809, 63532, 3069, 31467, 147582, 506, 12483, 2451, 26612, 46244, 148346, 17171, 31467, 26, 2702, 6319, 119859, 40920, 5, 132, 43590, 61621, 6, 128750, 98071, 2648, 212915, 4, 193042, 1982, 40096, 36326, 119718 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16, 77814, 2808, 24295, 39248, 98071, 39340, 4, 7511, 59461, 98071, 39340, 4, 506, 39083, 89930, 23269, 6, 148346, 2442, 98071, 165354, 1211, 2702, 88945, 44779, 2200, 163139, 30750, 44779, 8903, 506, 12483, 6319, 33809, 39340, 26612, 26, 48775, 75578, 1470, 98071, 26, 6319, 186955, 5, 25391, 710, 12483, 22753, 12, 6235, 48775, 50853, 2932, 4484, 33809, 47332, 123073, 4, 4484, 40096, 16932, 4113, 4, 23173, 75230, 2702, 5, 132, 5666, 12299, 31467, 7972, 6, 148346, 48775, 2865, 29171, 4, 2702, 2702, 84577, 98071, 1211, 4, 119055, 29771, 506, 79981, 194, 2525, 16, 808, 5, 46598, 3496, 26612, 4, 3496, 26612, 4, 155, 2050, 16175, 98071, 4, 16175, 98071, 4, 46598, 6, 2050, 39083, 20315, 119718, 98071, 2050, 39340, 4, 3373, 39083, 35189, 98071, 64310, 657, 68697, 33809, 15200, 506, 16, 6, 148346, 448, 6, 148346, 120467, 5, 710, 155, 22639, 6093, 1470, 98071, 26, 23050, 119859, 49008, 564, 23173, 12483, 418, 2451, 2882, 7369, 98071, 1644, 4, 5, 37460, 6, 75578, 98071, 1644, 4, 27, 910, 42572, 5, 5, 7611, 657, 29771, 4667, 939, 6, 76776, 1285, 49597, 2442, 6, 26, 609, 27, 609, 1470, 33809, 1211, 657, 37016, 2865, 98071, 95064, 710, 204403, 35465, 4, 53414, 4, 506, 98071, 39340, 48253, 7682, 4, 13497, 2702, 5, 4484, 4, 26612, 75230, 4484, 5, 26612, 2050, 74, 35596, 3131, 7682, 4, 1982, 35596, 46545, 4, 2648, 59929, 5, 119055, 12483, 4, 132, 710, 156562, 99295, 6428, 33809, 148346, 13845, 710, 47351, 4, 4944, 244640, 13845, 46685, 33960, 148346, 5, 16, 69622, 2702, 98071, 159696, 4, 3373, 54260, 4113, 4, 2702, 54260, 25603, 2932, 119859, 129891, 34654, 55546, 12415, 25207, 5, 218241, 13159, 4, 148346, 218241, 13159, 4, 1982, 127684, 3373, 2702, 218241, 13159, 17171, 1644, 4, 23982, 1644, 4, 7201, 33809, 2882, 2882, 5, 37189, 148346, 5, 132, 159696, 155341, 127827, 4, 5332, 2808, 88942, 119718, 23173, 137218, 107829, 21087, 148346, 4113, 4, 3373, 5, 148346, 4113, 4, 2702, 15435, 29771, 15, 15435, 19721, 119859, 129891, 17824, 75230, 132, 2808, 88945, 194, 14004, 94741, 98071, 48253, 41764, 25207, 48253, 5, 90848, 13497, 6, 23173, 37016, 5, 71204, 48350, 1644, 4, 12483, 5, 1644, 4, 2702, 67283, 6319, 48350, 13845, 5, 16847, 6255, 48494, 203232, 5, 23269, 506, 6255, 10339, 50856, 148346, 13292, 26, 28726, 2050, 364, 75230, 4852, 4, 71512, 168892, 4838, 16175, 71512, 7511, 36419, 44779, 70845, 5, 2648, 28317, 506, 42572, 16870, 6093, 4, 27855, 148346, 25207, 149311, 4, 2451, 71204, 119718, 23173, 710, 183718, 15533, 5, 1644, 4, 48350, 98071, 1644, 4, 2702, 4667, 6319, 48350, 15350, 5, 218241, 448, 4, 218241, 98071, 2050, 4, 7511, 64659, 26612, 2050, 3523, 54260, 1211, 5, 148346, 6093, 98071, 1644, 4838, 75290, 212915, 4, 119055, 23173, 5, 71204, 119718, 23173, 137218, 710, 48350, 100863, 4, 2702, 48350, 98071, 1644, 4, 2702, 67283, 6319, 48350, 5, 1644, 5, 506, 29771, 75578, 4, 6, 170355, 79981, 4, 13458, 75230, 2882, 874, 98071, 2882, 71612, 21106, 8580, 5, 132, 18553, 2648, 4944, 244640, 710, 1054, 59929, 93497, 97634, 710, 26, 119055, 23173, 36326, 194, 43317, 13159, 148346, 40096, 657, 33809, 129891, 4, 26394, 2702, 1982 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 40096, 6319, 29766, 21106, 5, 170355, 96986, 4, 22426, 28726, 96986, 22426, 29766, 1054, 21106, 29060, 12483, 5, 105439, 4, 506, 59929, 4, 4484, 76776, 2050, 5, 132, 11851, 1211, 874, 38054, 12890, 6, 119859, 50853, 148346, 6093, 2932, 4, 3131, 16870, 28726, 89930, 33960, 148346, 70265, 2808, 75230, 6293, 6428, 80885, 506, 2882, 6, 23173, 7511, 28726, 4, 4484, 33809, 20911, 5332, 1982, 4, 6319, 5, 20911, 8947, 2865, 98071, 2882, 6, 48904, 26, 2808, 71512, 28726, 5, 16580, 39340, 50856, 98071, 2932, 4838, 506, 6093, 4, 6, 98055, 43178, 162642, 171433, 2050, 3373, 75230, 1211, 6, 101328, 4, 6, 84577, 6428, 54260, 1211, 101328, 4, 6, 101328, 4, 6, 101328, 5, 132, 119718, 98071, 36419, 2932, 90848, 710, 4, 41764, 101328, 8300, 39340, 204403, 63849, 29766, 7682, 4, 95564, 165592, 21106, 4, 97634, 148346, 98071, 3373, 39083, 2648, 40096, 119718, 16803, 21106, 5, 50853, 40096, 6, 48775, 113889, 32206, 48775, 710, 64260, 4, 31623, 40096, 112216, 63849, 34533, 26612, 101328, 57277, 23173, 150349, 121865, 2205, 41764, 75230, 1644, 12483, 43317, 92867, 39340, 4, 148346, 26612, 1982, 39340, 4, 36909, 48904, 15907, 78683, 2932, 23822, 98071, 6319, 137377, 29789, 16580, 6, 189623, 98071, 3131, 78683, 77578, 2882, 4, 3523, 54260, 2882, 4, 142170, 3496, 59929, 21087, 4, 137218, 119055, 26, 6, 2050, 39083, 48775, 155, 24621, 112216, 69031, 5, 132, 905, 23173, 2702, 29771, 16, 71716, 2808, 75230, 10918, 2702, 4, 29789, 27137, 4, 16580, 4944, 244640, 2882, 4838, 6, 148346, 29766, 13497, 37016, 177148, 7508, 6093, 6, 21106, 16932, 1470, 33809, 1211, 5332, 57277, 10339, 5, 5, 710, 5, 16580, 2451, 2882, 7508, 6093, 4231, 33809, 23405, 6093, 2648, 98071, 42572, 98071, 23405, 6093, 5, 4484, 33809, 63532, 7508, 6093, 22639, 6093, 92500, 657, 87442, 7508, 12, 564, 54260, 59461, 132, 5666, 36909, 124470, 7972, 6, 148346, 48775, 66168, 49597, 4484, 4, 6, 101328, 16803, 84577, 8580, 4, 119055, 29771, 54574, 98071, 1211, 16, 710, 78255, 905, 59929, 6093, 48706, 63593, 22426, 21106, 5, 4, 506, 29060, 35189, 3069, 31467, 151614, 1982, 12483, 4, 13342, 75290, 3069, 31467, 3523, 59929, 12483, 4, 78683, 506, 4113, 3069, 31467, 2050, 6, 148346, 37016, 6093, 5, 506, 115731, 4852, 18415, 4, 4667, 1982, 115731, 4852, 2702, 4, 90848, 2050, 6, 137218, 92867, 21087, 33809, 9934, 98071, 4667, 17824, 75230, 2702, 32, 12415, 1211, 10184, 75578, 2939, 33809, 18415, 6235, 506, 2882, 657, 75230, 4852, 5, 2648, 91799, 19302, 54260, 59461, 4, 4838, 32206, 25222, 148346, 5, 16, 88586, 6, 98071, 2882, 6, 36609, 33809, 119718, 26612, 137218, 120439, 165592, 21106, 6, 46053, 2451, 78683, 33809, 4, 21374, 45629, 33809, 2050, 8580, 5, 506, 29789, 21422, 2702, 148346, 23173, 98071, 2865, 148346, 26612, 68542, 24244, 2050, 5, 2442, 33809, 5, 1470, 75230, 212413, 4, 2702, 75230, 44693, 4, 137218, 7213, 119718, 26612, 2050, 364, 29789, 4, 11211, 4, 76776, 26425, 98071, 6, 9416, 16629, 32, 16, 73136, 15908, 15857, 36909, 15907, 4, 1054, 23173, 3131, 12483, 5, 1644, 2451, 16629, 14236, 4667, 4484, 75230, 4775, 5, 11540, 16, 137218, 3373, 78683, 905, 21106, 12, 1470, 48775, 57277, 4, 1470, 48775, 101296, 4, 1470, 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 ]
[ 101296, 4, 137218, 6, 23173, 75230, 105439, 25933, 29257, 2882, 2050, 5, 119055, 194734, 88660, 710, 64310, 6, 75230, 142170, 119718, 75322, 26612, 74, 2808, 75230, 2702, 4, 1470, 75230, 2050, 4, 1470, 5, 5, 6, 76776, 117902, 2442, 33809, 64310, 34654, 7511, 6093, 59929, 26612, 5, 119718, 905, 29766, 36326, 16, 29766, 4113, 4, 2808, 110156, 6, 90848, 17645, 5, 119718, 23173, 710, 84577, 5, 137218, 120439, 165592, 21106, 7544, 42410, 23173, 905, 895, 5, 4484, 4, 905, 98071, 7508, 40096, 148346, 905, 43393, 4484, 4, 10918, 49597, 2865, 148346, 23173, 33809, 5, 564, 120467, 5, 132, 2882, 75230, 148346, 4113, 6, 71804, 13805, 4, 73095, 148346, 25207, 149311, 4, 506, 29789, 4, 11211, 4, 13845, 46050, 3149, 5, 113889, 2648, 119718, 2702, 98071, 1211, 5, 5, 8300, 238144, 18415, 1470, 22426, 2882, 54260, 1644, 33809, 23405, 5, 3131, 22426, 15350, 12483, 5, 10837, 16, 3131, 25603, 148346, 13845, 5, 8300, 75230, 114955, 95455, 51453, 874, 54260, 2648, 44779, 16, 6, 123844, 115222, 8903, 1211, 16175, 26, 183512, 123073, 23050, 46244, 12483, 7746, 68558, 6, 148346, 54260, 1285, 152, 141943, 2205, 4151, 6319, 159696, 2442, 15, 25207, 4944, 244640, 18415, 7508, 183512, 3069, 21776, 4944, 244640, 18415, 7508, 183512, 4, 51605, 107581, 3069, 31467, 7972, 20260, 4113, 16, 1470, 33809, 1211, 18225, 1751, 36419, 21295, 9934, 98071, 4667, 230764, 1285, 145813, 8580, 6, 223390, 6093, 10339, 33809, 1211, 1285, 6, 131445, 2205, 1470, 54260, 16667, 2702, 26, 183512, 123073, 21422, 46244, 21422, 7746, 4, 43649, 20616, 186797, 4838, 79981, 7265, 26, 1211, 1470, 75230, 148346, 93497, 96986, 133933, 6, 75290, 59919, 2808, 75230, 2702, 2932, 21660, 75230, 8903, 1211, 230764, 4838, 506, 98071, 13497, 6093, 4, 1470, 33809, 1211, 874, 26, 13982, 20616, 2882, 9934, 98071, 4667, 199145, 6, 75322, 39083, 9915, 13845, 6093, 15, 51723, 3131, 159696, 148346, 2882, 5, 2205, 3373, 26, 4852, 23405, 2882, 21422, 1211, 46985, 1211, 119718, 46646, 6093, 5, 19, 14783, 5, 748, 7961, 420, 2451, 4, 101608, 6, 5, 25933, 6, 5, 5332, 4667, 6, 101608, 292, 119055, 29771, 6, 5, 6319, 47351, 33104, 15864, 1285, 6, 1211, 6, 31212, 29434, 20616, 2882, 54745, 1644, 6, 5, 25093, 24857, 18167, 40026, 33716, 32887, 6, 5, 97483, 6428, 18250, 1751, 12483, 657, 218241, 6, 88660, 40920, 78683, 1211, 45629, 30750, 5, 6, 75230, 4667, 506, 59929, 6093, 4, 48775, 2050, 67537, 10813, 21776, 506, 2882, 7746, 74, 10069, 27702, 24621, 6, 88660, 47332, 657, 29771, 36326, 2932, 20315, 16175, 40096, 6, 33716, 22753, 5, 2808, 85416, 148346, 85416, 2932, 85416, 506, 29789, 418, 36326, 4, 17288, 15533, 36419, 3944, 189623, 2442, 4, 1982, 26, 506, 29771, 148346, 4838, 9934, 98071, 2702, 12483, 67882, 96986, 74, 1982, 26, 85465, 200117, 36324, 710, 36419, 1751, 159696, 61397, 98071, 1211, 4, 1982, 26, 85465, 200117, 4838, 16175, 137377, 874, 98071, 2882, 45521, 35189, 1211, 5, 119718, 23173, 36326, 16, 10069, 200795, 3373, 226112, 36909, 4113, 1470, 98071, 4852, 56170, 150349, 166198, 3496, 195164, 1470, 98071, 1211, 6, 119859, 69106, 41764, 75230, 1644, 12483, 5, 119718, 23173, 710, 84577, 5, 78683, 1211, 905, 59929, 6093, 4, 7508, 18167, 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 ]
[ 101608, 4, 2648, 120467, 105884, 13845, 29434, 20616, 2882, 8248, 4667, 74, 2648, 98071, 16175, 174121, 6, 88660, 47332, 657, 218241, 3131, 12483, 4, 2442, 6093, 16175, 174121, 129165, 506, 2882, 9934, 98071, 4667, 5, 506, 6093, 48494, 203232, 9934, 36326, 143064, 12483, 4, 1982, 26, 506, 29771, 148346, 4838, 220224, 12483, 6, 57277, 96986, 74, 1982, 26, 506, 29771, 148346, 4838, 16175, 137377, 7265, 45521, 35189, 1211, 4, 1982, 26, 85465, 200117, 4838, 6, 212915, 4838, 1751, 25207, 61397, 2884, 5, 4944, 26, 85465, 200117, 4838, 6, 212915, 48904, 26, 21106, 51723, 4, 2442, 98071, 1644, 7369, 9934, 98071, 4667, 148346, 26612, 506, 21106, 96986, 5, 7511, 49597, 29659, 564, 54260, 97634, 2932, 4, 5666, 29766, 6, 148346, 710, 76776, 47332, 4, 2882, 98071, 25207, 1211, 16175, 75230, 25207, 1211, 2451, 8300, 33809, 8903, 101296, 47332, 5, 132, 905, 23173, 36419, 194, 119718, 23173, 710, 84577, 5, 78683, 1211, 48775, 2050, 6093, 4, 163139, 4667, 506, 59929, 6093, 4, 90848, 2050, 7508, 6093, 13845, 29434, 20616, 2882, 7746, 74, 2648, 98071, 67882, 36419, 6, 88660, 92867, 2882, 657, 218241, 3131, 12483, 4, 2442, 6093, 16175, 174121, 6, 128750, 20616, 2882, 7746, 5, 506, 54260, 4, 120470, 4, 76776, 17410, 28320, 2451, 4944, 26, 506, 29771, 148346, 4838, 22753, 1982, 12483, 57277, 96986, 5, 506, 64260, 3496, 6235, 8903, 2702, 12483, 6319, 21106, 18415, 10339, 66293, 5, 506, 64260, 7369, 7746, 16175, 93704, 29766, 148346, 12483, 4, 68313, 5332, 6235, 27720, 76216, 25207, 1211, 230764, 1285, 49597, 6, 128750, 54260, 4113, 9181, 159212, 4, 68313, 5332, 205814, 29771, 1982, 12483, 132, 14857, 506, 15857, 36909, 15907, 4, 119055, 23173, 36326, 194, 119718, 23173, 710, 84577, 5, 2648, 120467, 7369, 13845, 4, 6, 17645, 69106, 7508, 6093, 13845, 13982, 20616, 2882, 6, 98071, 4667, 74, 77344, 101080, 14081, 17190, 506, 212915, 7511, 1470, 33809, 54561, 6, 54260, 20315, 1211, 10069, 114955, 159696, 21295, 10069, 67882, 24621, 6, 88660, 47332, 657, 218241, 3131, 12483, 4, 2442, 6093, 16175, 174121, 32054, 77188, 8248, 4667, 5, 2648, 98071, 67882, 24621, 88660, 63532, 4838, 6, 101328, 4667, 25207, 2050, 6, 57277, 96986, 2882, 33809, 2882, 1054, 20616, 7508, 6093, 6, 148346, 75230, 4667, 5, 132, 36326, 148346, 25207, 149311, 4, 31807, 46685, 30109, 54260, 4852, 16, 2648, 85416, 119718, 23173, 710, 84577, 5, 506, 29789, 119055, 59929, 6093, 4, 6, 138194, 1054, 59929, 6093, 4, 90848, 2050, 105884, 13845, 29434, 20616, 2882, 9934, 98071, 4667, 74, 2648, 98071, 6, 148346, 29771, 148346, 4113, 6, 88660, 40920, 657, 218241, 3131, 12483, 4, 35189, 22753, 25207, 129165, 506, 2882, 9934, 98071, 4667, 5, 132, 4484, 98071, 57619, 4484, 4, 7508, 29766, 5, 33960, 148346, 5, 16, 506, 85416, 119718, 23173, 710, 84577, 5, 506, 64260, 6, 78683, 126968, 4, 874, 23173, 98071, 23269, 4, 90848, 2050, 7508, 6093, 13845, 29434, 20616, 2882, 9934, 98071, 4667, 74, 2648, 98071, 67882, 24621, 6, 88660, 40920, 657, 218241, 3131, 12483, 4, 20315, 16175, 174121, 129165, 506, 2882, 9934, 98071, 4667, 5, 905, 148346, 23173, 26394, 119718, 4, 118473, 1644, 5, 4269, 54260, 5, 16, 905, 85416, 119718, 23173, 710, 84577, 5, 506 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29771, 148346, 8300, 59929, 26612, 67882, 12415, 208048, 2648, 120467, 105884, 13845, 27, 1470, 5, 36324, 5, 1054, 5, 132, 50273, 58032, 98071, 26394, 4, 7508, 142429, 5, 33960, 148346, 5, 16, 910, 69072, 119718, 23173, 710, 84577, 5, 88660, 170355, 48253, 218241, 4, 6319, 33809, 2050, 6, 57277, 57619, 12483, 4, 90848, 2050, 7508, 6093, 13845, 27, 1470, 5, 6, 47351, 5, 119055, 5, 132, 119718, 23173, 36326, 16, 82036, 2808, 98071, 1211, 77756, 1211, 171665, 10125, 5, 905, 12483, 18225, 145813, 98071, 21295, 7746, 1470, 98071, 1211, 4838, 5816, 15703, 4, 2205, 77756, 1211, 710, 15949, 506, 4, 9934, 98071, 23405, 2882, 18225, 5, 137218, 4667, 6, 148346, 98071, 1211, 4151, 77756, 1211, 4, 2442, 33809, 6, 148346, 98071, 4852, 2882, 1285, 49597, 6, 148346, 10125, 4, 2451, 57277, 57619, 12483, 49027, 12483, 9719, 25207, 44779, 76961, 5, 137218, 4667, 564, 98071, 1211, 7508, 6093, 3373, 66317, 4, 2648, 33809, 6, 148346, 98071, 4852, 2882, 1285, 49597, 60837, 148346, 506, 4, 2451, 2442, 6093, 12483, 20033, 9934, 98071, 4667, 145813, 98071, 1644, 12483, 92500, 137, 148346, 29771, 69801, 710, 21106, 39340, 2909, 710, 23173, 49027, 220224, 1211, 191795, 148346, 4113, 2808, 33809, 1211, 6428, 33809, 1054, 119273, 220224, 1211, 3944, 21106, 39340, 2451, 137218, 4667, 49027, 6, 109995, 6, 30033, 2808, 33809, 1211, 7508, 33809, 119055, 119273, 220224, 1211, 46855, 171665, 506, 5, 4852, 98071, 23405, 125830, 4, 6, 201237, 125830, 4, 710, 33809, 5666, 8903, 44779, 76961, 4, 137218, 20260, 109316, 1470, 98071, 4852, 7508, 6093, 364, 8580, 4, 36909, 18640, 109316, 1470, 98071, 4852, 1285, 49597, 2376, 506, 5, 132, 2702, 29771, 4944, 40096, 36326, 119718, 4, 119055, 23173, 2702, 5, 33960, 148346, 5, 16, 134463, 2932, 48775, 2050, 29659, 48775, 2050, 2865, 26, 710, 18415, 21295, 7746, 4838, 68550, 7508, 142429, 4, 364, 186955, 186797, 9934, 98071, 4667, 6, 148346, 710, 1285, 49597, 185182, 2442, 4, 1470, 33809, 1211, 1470, 54260, 155, 61397, 15, 35189, 1470, 75230, 2702, 8903, 26394, 506, 21295, 53414, 6235, 506, 2882, 4838, 68550, 1470, 33809, 1211, 6, 23173, 33809, 2050, 10676, 7508, 142429, 24464, 29434, 75230, 2702, 12483, 2808, 33809, 1211, 364, 186955, 4838, 78104, 4944, 13845, 1470, 98071, 1211, 4151, 364, 183512, 2205, 76961, 9934, 98071, 5666, 49008, 4151, 148346, 54260, 12, 2932, 48775, 2050, 29659, 48775, 2050, 4, 506, 186955, 205026, 3069, 4, 1982, 26, 159696, 1644, 1285, 49597, 2442, 5332, 22426, 13159, 1054, 239162, 1211, 12, 1982, 26, 506, 29771, 148346, 56170, 1644, 75230, 25207, 1211, 4231, 33809, 183216, 1054, 33809, 42023, 4, 101296, 4667, 874, 98071, 2442, 230764, 3523, 26, 119859, 32206, 13845, 5, 2808, 98071, 1211, 4151, 9424, 54260, 2882, 3120, 4838, 144532, 8903, 42023, 6, 212484, 2702, 7369, 6, 148346, 54260, 1470, 54260, 119132, 6, 23173, 137377, 95455, 16175, 98071, 4944, 244640, 13845, 95766, 119055, 12483, 18225, 6, 186797, 2882, 95455, 88911, 13845, 6, 148346, 1644, 54260, 148346, 2882, 5332, 6, 105235, 42023, 5, 1470, 75230, 148346, 4151, 4, 6, 148346, 54260, 6, 159696, 51723, 2648, 4852, 2702, 78104, 4944, 13845, 657, 98071, 98833, 4, 6, 148346, 4113, 46685, 20911, 8947, 3523, 98071, 29659, 2200, 29434 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 20616, 2882, 7746, 3523, 98071, 29659, 1470, 75230, 2702, 4, 40611, 8947, 2808, 75230, 2702, 4231, 364, 75230, 148346, 12483, 4, 6, 148346, 33809, 1211, 7369, 6, 23173, 75230, 2702, 8903, 42023, 42572, 33809, 1211, 7508, 142429, 2200, 6, 23173, 52480, 8903, 42023, 95455, 7508, 142429, 6, 189098, 26, 1211, 2882, 98071, 4944, 244640, 13845, 47833, 4231, 114436, 4, 199145, 1470, 98071, 4852, 56170, 1470, 98071, 56417, 6, 23173, 52480, 8903, 240863, 56880, 4, 6235, 506, 2882, 6, 23173, 54260, 1211, 230764, 220224, 1211, 99766, 4, 2205, 874, 201237, 2882, 4838, 710, 75230, 163139, 49597, 42572, 65606, 6093, 132, 119718, 23173, 36326, 194, 5, 88235, 119718, 69596, 84577, 5, 101296, 12415, 47351, 4, 67882, 12415, 47351, 4, 364, 77188, 220273, 3069, 31467, 4, 1982, 26, 13845, 6255, 162218, 6, 225975, 12483, 12, 92867, 26, 85465, 200117, 3373, 21106, 75230, 12483, 4838, 26, 14004, 57619, 98071, 8903, 6, 97634, 4944, 244640, 16932, 4, 2702, 26612, 47332, 874, 98071, 2442, 230764, 21776, 2050, 220273, 96986, 4, 2442, 6093, 220273, 96986, 37826, 7746, 23173, 33809, 25603, 136108, 20616, 2882, 4, 92500, 6, 226994, 37826, 20315, 2050, 30109, 48904, 7611, 6, 148346, 26612, 105235, 506, 2882, 5110, 31467, 40096, 2882, 40096, 194, 2702, 26, 13982, 20616, 2882, 9934, 98071, 4667, 230764, 7508, 5, 115222, 18415, 4, 48775, 2050, 1285, 49597, 115222, 18415, 3056, 564, 71804, 2050, 905, 32, 418, 4, 4484, 33809, 63532, 4151, 32887, 59461, 10339, 75230, 195054, 92500, 67882, 47332, 4838, 54745, 1211, 6235, 170355, 23405, 5, 4113, 37826, 6235, 119718, 183216, 4, 6093, 37826, 23050, 119718, 183216, 13982, 710, 6, 101328, 46244, 4838, 68550, 4, 2451, 136108, 20616, 2882, 8248, 4667, 1285, 49597, 115222, 18415, 4838, 68550, 5, 119718, 23173, 36326, 194, 186565, 14081, 17190, 506, 212915, 6, 148346, 710, 119718, 23173, 710, 84577, 5, 4113, 17645, 4, 2648, 98071, 30109, 13159, 4113, 5, 905, 12483, 1285, 49597, 30109, 4113, 18415, 162726, 84577, 4, 4484, 33809, 16803, 4838, 1751, 114436, 10339, 75230, 8903, 17410, 33809, 1211, 193042, 47332, 4838, 97995, 75230, 2050, 6235, 170355, 23405, 5, 23847, 75230, 2050, 6235, 170355, 23405, 4, 50856, 75230, 2050, 23050, 4852, 48904, 5666, 4, 13982, 710, 6, 101328, 46244, 6, 23173, 33809, 2050, 4, 13982, 20616, 2882, 9934, 98071, 4667, 1285, 30109, 4113, 18415, 6, 23173, 33809, 2050, 5, 119718, 23173, 36326, 194, 86468, 78683, 48775, 506, 142429, 5, 4484, 98071, 83182, 23050, 506, 96986, 7746, 6, 68558, 24012, 1285, 49597, 364, 76632, 2205, 4838, 7508, 142429, 2205, 18225, 29434, 20616, 2882, 4852, 18167, 112216, 24621, 44779, 2205, 18225, 9934, 98071, 23405, 2882, 12, 78683, 48775, 506, 142429, 4, 6, 78683, 48775, 506, 142429, 4, 73381, 12483, 230764, 21776, 2050, 874, 75230, 6093, 38, 2451, 1054, 6093, 32899, 76216, 33716, 4, 1054, 6093, 77014, 76216, 33716, 32, 2451, 7508, 6093, 21374, 49268, 874, 98071, 2882, 1285, 49597, 6319, 98071, 83182, 5, 2451, 199145, 6, 61397, 12483, 22753, 132025, 8903, 2882, 33809, 1211, 32, 2451, 4269, 39083, 2648, 874, 98071, 2882, 9934, 98071, 1644, 75578, 2808, 75230, 2702, 155, 1211, 1470, 75230, 905, 12483, 9934, 98071, 26394, 1211, 22753, 4, 2808, 33809, 13497, 6093, 26, 1211, 1470 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 905, 12483, 45495, 98071, 26394, 1211, 6, 109995, 148346, 2442, 98071, 25207, 44779, 3373, 12415, 148346, 12483, 22753, 4, 30946, 32572, 6, 148346, 1644, 54260, 12483, 22753, 5, 132, 506, 98071, 93509, 13845, 6, 148346, 44779, 4, 4151, 29060, 3131, 98071, 1211, 4, 17824, 142429, 5666, 5, 33960, 148346, 5, 16, 84308, 90848, 2648, 1470, 33809, 1211, 4838, 6, 48775, 23269, 5, 51723, 23050, 506, 63532, 6, 75230, 4667, 6, 68558, 3523, 155, 6428, 12, 11211, 16747, 6, 23173, 142429, 2205, 874, 26, 13982, 20616, 2882, 9934, 98071, 4667, 112216, 29771, 4113, 32792, 92500, 18225, 9934, 98071, 23405, 2882, 12, 15529, 29025, 57619, 6, 48775, 57619, 71, 618, 420, 71, 5, 5, 841, 5, 5, 5666, 54260, 77014, 6, 57619, 102323, 6, 57619, 5, 45629, 9424, 292, 6428, 8300, 292, 22444, 5, 35189, 6, 5, 3523, 5, 6, 5, 1470, 1285, 4667, 75903, 26, 6, 5, 2882, 18250, 6, 5, 33718, 6235, 6, 5, 6428, 8300, 5, 2932, 2808, 71804, 7508, 29766, 2200, 4838, 6, 48775, 23269, 4, 3131, 12483, 4269, 3111, 48904, 5666, 5, 49268, 506, 4, 115222, 46244, 9934, 98071, 4667, 1470, 33809, 2050, 2702, 98071, 146887, 3947, 27, 609, 1470, 98071, 1211, 7508, 6093, 30109, 33809, 2050, 5, 13982, 20616, 2882, 7746, 95455, 30842, 1644, 15, 71430, 16, 1470, 75230, 2702, 874, 98071, 2882, 26, 1211, 88721, 3069, 31467, 2050, 29434, 75230, 4944, 12483, 3069, 31467, 149311, 7508, 142429, 4, 132025, 8903, 99403, 141943, 98071, 2932, 9934, 98071, 4667, 3069, 31467, 2442, 98071, 4484, 6, 148346, 710, 1285, 49597, 49920, 2205, 9934, 98071, 6235, 506, 2882, 874, 98071, 2882, 76961, 163139, 5, 46685, 18133, 235210, 12483, 2205, 874, 26, 201237, 2882, 163139, 35189, 95455, 1470, 54260, 2932, 65482, 230764, 4838, 163139, 30750, 4, 2205, 4231, 65482, 13982, 20616, 2882, 9934, 98071, 4667, 163139, 49597, 35189, 1470, 75230, 2702, 5, 36324, 75230, 117473, 6, 148346, 22151, 76961, 6319, 51723, 1470, 75230, 2702, 874, 98071, 2882, 1285, 49597, 41764, 7511, 2865, 26, 6093, 13342, 2050, 29434, 75230, 2702, 12483, 1285, 42572, 33809, 1211, 7508, 142429, 5, 15, 21106, 18415, 171433, 16803, 183718, 98071, 1211, 4, 6, 90848, 54574, 98071, 1211, 194, 2808, 33809, 54561, 4231, 33809, 20315, 62078, 114955, 159696, 21295, 46646, 2702, 29771, 119718, 23173, 710, 84577, 5, 2442, 33809, 2442, 65482, 6, 48775, 23269, 4, 3131, 65482, 112216, 5666, 23269, 5, 4484, 33809, 15907, 7508, 6093, 1751, 114436, 10339, 75230, 151227, 4, 111684, 33716, 6, 23173, 75230, 6293, 230764, 1285, 49597, 6, 78683, 25207, 18415, 4, 2648, 98071, 6, 78683, 25207, 18415, 170479, 6, 148346, 1644, 48904, 165354, 74, 4484, 54260, 2882, 4151, 1751, 114436, 10339, 75230, 8903, 17410, 33809, 1211, 27702, 47332, 4838, 1751, 12483, 6235, 170355, 23405, 5, 4944, 26612, 23050, 170355, 23405, 4, 3496, 26612, 23050, 170355, 23405, 4, 13982, 710, 10339, 21106, 6, 23173, 33809, 2050, 4, 48253, 98071, 22426, 153222, 6, 54260, 20315, 1644, 4, 39340, 46244, 9934, 98071, 4667, 1470, 33809, 2050, 5, 132, 710, 23173, 59461, 4, 73095, 10069, 5, 33960, 148346, 5, 26, 178046, 16, 119718, 23173, 710, 84577, 5, 2442, 33809, 2442, 65482, 6, 48775, 23269, 4, 3131, 65482 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10339, 48904, 4113, 5, 30473, 1982, 12483, 6, 101328, 4838, 68550, 4, 154739, 2648, 65482, 2376, 506, 4, 115222, 46244, 9934, 98071, 4667, 1470, 33809, 2050, 5, 4113, 148346, 23173, 113889, 75230, 4, 6, 54260, 148346, 1644, 5, 33960, 148346, 5, 16, 178046, 16, 119718, 23173, 710, 84577, 5, 2442, 33809, 2648, 65482, 6, 48775, 101470, 364, 186955, 7746, 12023, 1285, 11211, 16747, 6, 9221, 142429, 2205, 874, 26, 13982, 20616, 2882, 9934, 98071, 4667, 1470, 33809, 1211, 18225, 9934, 98071, 23405, 2702, 5, 2442, 9221, 65482, 7508, 48904, 8903, 4, 3131, 65482, 112216, 5666, 23269, 5, 2932, 39083, 2648, 65482, 874, 33809, 16932, 4, 39293, 7611, 1285, 49597, 4667, 4838, 7511, 35189, 5, 149311, 7746, 76961, 7265, 6, 75322, 39083, 4838, 55242, 7611, 6, 48904, 98071, 35189, 230764, 7508, 26, 25207, 38054, 2200, 364, 186955, 141943, 98071, 2932, 9934, 98071, 4667, 6, 75230, 101608, 6, 148346, 710, 1285, 49597, 364, 141943, 4, 364, 75230, 148346, 12483, 9934, 8248, 4667, 98252, 230764, 1470, 33809, 1211, 29434, 20616, 12483, 7746, 75230, 16932, 1470, 33809, 1211, 9934, 98071, 183216, 4, 2200, 36324, 75230, 110573, 92904, 5, 132, 119718, 23173, 36326, 194, 2648, 84308, 119718, 23173, 710, 84577, 5, 2442, 33809, 2442, 65482, 6, 48775, 23269, 4, 3131, 65482, 6, 149364, 98071, 1644, 112216, 23269, 4, 13982, 710, 3373, 39083, 4838, 34322, 4, 2451, 2648, 98071, 6, 63831, 10339, 21106, 2050, 70845, 5, 132, 1644, 33809, 148346, 1644, 98071, 1211, 194, 87053, 2808, 98071, 1211, 6, 78683, 7611, 1470, 33809, 1211, 874, 75230, 4852, 5, 16580, 83182, 23050, 87637, 12483, 7746, 6, 68558, 3523, 54260, 1285, 49597, 11211, 16747, 4, 119055, 12, 4838, 7508, 142429, 5, 6, 148346, 75230, 114955, 6, 148346, 7972, 26394, 1211, 1470, 75230, 101608, 26, 1211, 7508, 142429, 4, 7746, 21422, 6, 101328, 8903, 1211, 5, 22639, 4113, 1470, 98071, 4852, 4838, 6, 78683, 7611, 2205, 22639, 4113, 2451, 26612, 874, 75230, 4852, 5, 1285, 2865, 75230, 4852, 6, 212484, 2882, 21776, 1211, 4838, 79761, 17160, 75230, 36909, 12483, 6428, 33809, 2442, 4944, 26, 1211, 7508, 29766, 4, 6, 23173, 12483, 2205, 6, 23173, 75230, 2702, 4, 2205, 1285, 49597, 6, 78683, 7611, 2451, 2865, 98071, 16803, 5, 1285, 49597, 6, 78683, 7611, 65146, 7746, 6, 23173, 20260, 93975, 1211, 7265, 4838, 160238, 18415, 1644, 84475, 9934, 98071, 4667, 4838, 27909, 13458, 54260, 2702, 12483, 2865, 98071, 2702, 6235, 48775, 119425, 5, 119055, 12483, 1285, 49597, 6, 71804, 7611, 3496, 71577, 2882, 1285, 49597, 874, 75230, 4852, 4, 6, 212413, 12483, 7746, 1470, 75230, 2702, 42572, 33809, 1211, 7508, 142429, 221895, 9424, 119718, 710, 4, 7746, 1285, 6, 101328, 8903, 1211, 5, 6, 5, 15, 2442, 93497, 8300, 194, 108837, 21087, 33809, 14081, 17190, 506, 212915, 148346, 710, 1470, 33809, 54561, 6, 54260, 20315, 1211, 10069, 114955, 506, 13845, 2702, 26612, 77756, 33809, 5927, 2451, 26612, 110573, 10125, 6, 148346, 165592, 98071, 183216, 5, 2648, 98071, 110573, 10125, 9934, 21660, 2702, 9934, 98071, 4667, 36324, 37016, 4, 132025, 23269, 2882, 33809, 1211, 1470, 75230, 36909, 26, 1211, 6319, 137377, 4838, 49027, 710, 68558, 661, 16, 15, 2702, 26, 62763, 2648, 98071 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13497, 4151, 8300, 33809, 4838, 364, 183718, 33809, 4667, 16, 1470, 33809, 1211, 9934, 98071, 364, 186955, 9934, 98071, 4667, 21422, 1285, 49597, 1470, 75230, 8903, 1211, 1470, 33809, 1211, 1054, 54260, 16667, 1470, 33809, 1211, 21106, 4113, 6, 148346, 165592, 98071, 183216, 9934, 98071, 4852, 10813, 506, 3131, 98071, 6, 5, 601, 2822, 42, 5, 4902, 516, 35189, 7213, 6, 5, 7508, 39248, 710, 657, 5, 45521, 1470, 42542, 7213, 124724, 1054, 29060, 6, 46533, 54260, 54260, 292, 5, 7508, 5, 7508, 5, 12, 7508, 5, 5, 7508, 9221, 5, 148346, 10125, 26, 3131, 98071, 4, 6, 148346, 10125, 26, 2702, 98071, 4, 163139, 1211, 4852, 36326, 4, 35189, 77756, 1211, 6, 26, 29060, 1285, 49597, 2442, 1751, 98071, 165354, 4838, 17190, 61541, 4113, 564, 54260, 1211, 4, 159696, 126934, 7508, 98071, 4667, 27702, 114349, 23173, 165354, 148346, 98071, 4852, 3069, 31467, 7508, 98071, 21422, 42023, 5, 2648, 98071, 16175, 75230, 148346, 12483, 4, 1285, 16175, 75230, 148346, 12483, 105235, 506, 12483, 230764, 1285, 49597, 657, 142429, 12483, 74, 2702, 26, 2808, 98071, 4852, 1751, 75230, 1211, 21422, 2882, 3069, 31467, 6235, 148346, 12483, 26612, 67826, 49597, 4484, 109316, 46654, 29766, 12483, 5, 2648, 98071, 16175, 75230, 148346, 12483, 4, 1285, 49597, 16175, 75230, 148346, 12483, 105235, 42023, 4838, 6293, 1285, 49597, 6, 148346, 29060, 12483, 1211, 2702, 26, 2808, 98071, 4852, 1751, 75230, 1211, 42493, 2648, 98071, 6, 148346, 10125, 3069, 31467, 6, 148346, 93704, 37016, 12483, 5, 2648, 98071, 16175, 75230, 148346, 12483, 4, 1285, 49597, 16175, 75230, 148346, 12483, 105235, 506, 12483, 230764, 1285, 49597, 16175, 98071, 3131, 12483, 13159, 26, 2808, 98071, 4852, 1751, 75230, 1211, 21422, 2882, 2648, 98071, 6, 148346, 10125, 170479, 9934, 98071, 4667, 564, 71577, 98071, 3131, 12483, 5, 132, 36419, 148346, 25207, 149311, 4, 3496, 244640, 13845, 2050, 5, 30109, 54260, 4852, 194, 77518, 41764, 75230, 1644, 98071, 3131, 55766, 39674, 2808, 112916, 119718, 23173, 710, 84577, 5, 148346, 10125, 26, 3131, 98071, 4, 6, 148346, 10125, 26, 40714, 4, 34654, 1211, 3523, 98071, 29659, 4, 35189, 77756, 1211, 119055, 29060, 1285, 49597, 2442, 3373, 5, 165354, 1470, 223779, 2442, 1644, 9721, 8580, 4, 905, 119273, 33809, 1285, 49597, 4667, 6, 148346, 23173, 29771, 26394, 1211, 148346, 98071, 4852, 3069, 31467, 1285, 21422, 42023, 5, 35189, 77756, 1211, 1054, 29060, 7508, 98071, 2442, 1751, 98071, 165354, 506, 141847, 13845, 5, 7972, 1982, 16932, 7265, 7508, 6093, 12483, 4, 710, 119273, 33809, 151614, 148346, 12483, 114955, 4, 4852, 109316, 1211, 220224, 6, 109995, 36324, 75230, 163139, 49597, 1285, 49597, 6, 148346, 6093, 12483, 5, 12483, 2808, 98071, 1211, 4838, 43649, 33809, 148346, 3373, 98071, 2882, 4838, 6, 119859, 29171, 4, 905, 119273, 33809, 151614, 148346, 12483, 4838, 4231, 33809, 5666, 23269, 28726, 4, 905, 29060, 7369, 364, 21292, 12483, 32054, 48904, 98071, 4484, 5, 132, 2932, 29766, 126968, 119718, 4, 3944, 100863, 5, 4269, 54260, 5, 16, 16028, 17727, 119718, 23173, 710, 84577, 5, 148346, 10125, 26, 21087, 4, 6, 148346, 10125, 26, 3131, 98071, 4, 34654, 1211, 3523, 98071, 16803, 4, 1982, 26, 13845, 1285, 49597, 2442, 6235, 1211, 15, 23269, 1982 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12483, 16, 4838, 223779, 2442, 1644, 9721, 8580, 4, 26, 119273, 33809, 1285, 49597, 4667, 27702, 90848, 26394, 1211, 148346, 98071, 4852, 21422, 1285, 49597, 21422, 42023, 5, 1982, 26, 13845, 1285, 49597, 2442, 6235, 1211, 92605, 98071, 3131, 12483, 4, 26, 119273, 33809, 1285, 49597, 4667, 148346, 71577, 98071, 2702, 12483, 5, 132, 2442, 16028, 17727, 119718, 23173, 710, 183718, 5, 148346, 10125, 26, 3131, 98071, 4, 6, 148346, 10125, 26, 3131, 98071, 4, 12415, 1211, 4, 34654, 1211, 4, 34654, 1211, 4, 26, 119273, 1285, 49597, 4667, 6, 148346, 23173, 29771, 26394, 1211, 148346, 98071, 1211, 3069, 31467, 1285, 49597, 9424, 54260, 42023, 5, 26, 4113, 15907, 1285, 49597, 4667, 6, 148346, 23173, 29771, 26394, 1211, 2702, 98071, 2050, 17824, 75230, 2702, 6, 148346, 15703, 4, 26, 29060, 3373, 12483, 7508, 9221, 1751, 98071, 165354, 26612, 1751, 65482, 183582, 5, 132, 137218, 164863, 29766, 4, 657, 45619, 5, 3523, 33809, 5, 16, 2648, 112916, 119718, 23173, 710, 183718, 5, 148346, 10125, 26, 21087, 4, 6, 63831, 26, 2702, 98071, 75230, 1211, 4, 148346, 23173, 29771, 7611, 1285, 4667, 148346, 98071, 4852, 3069, 31467, 7508, 98071, 21422, 42023, 5, 35189, 77756, 1211, 6, 26, 29060, 7508, 98071, 2442, 7213, 165354, 26612, 3944, 44779, 874, 98071, 2882, 27855, 98071, 26394, 1211, 4, 26, 119273, 33809, 1285, 4667, 6, 148346, 23173, 29771, 26394, 1211, 148346, 98071, 4852, 21422, 1285, 49597, 9424, 98071, 26394, 1211, 5, 5666, 90848, 54260, 113889, 905, 4, 7508, 142429, 5, 3523, 33809, 148346, 5, 16, 506, 112916, 119718, 23173, 710, 84577, 5, 148346, 10125, 26, 21087, 4, 110573, 1644, 26, 2882, 4, 12415, 1211, 4, 48636, 101080, 14081, 17190, 506, 212915, 148346, 710, 1470, 54260, 1211, 68558, 7508, 98071, 111996, 1211, 3069, 31467, 7508, 98071, 21422, 42023, 5, 33104, 64665, 1470, 12483, 2451, 2050, 26, 506, 13845, 23741, 3523, 98071, 29659, 6, 112452, 6235, 506, 8580, 4, 2865, 26, 2442, 33809, 15907, 1285, 49597, 4667, 73784, 18906, 22426, 2882, 4, 2702, 33809, 4852, 2882, 33809, 4269, 8580, 5, 132, 1644, 33809, 148346, 1644, 98071, 1211, 194, 98864, 2808, 98071, 1211, 45521, 153222, 44779, 5, 13159, 145813, 98071, 1644, 12483, 9934, 98071, 4667, 9424, 238144, 6319, 98071, 83182, 5, 18225, 10339, 40096, 16803, 9934, 98071, 4667, 2205, 1285, 49597, 185182, 2442, 5, 1470, 54260, 59461, 22426, 40096, 29659, 874, 98071, 2882, 4151, 21776, 1982, 16932, 364, 183512, 1470, 98071, 1211, 6428, 13159, 221895, 16667, 21776, 4944, 244640, 16932, 4, 4151, 9424, 238144, 16932, 22426, 40096, 29659, 3069, 31467, 2442, 98071, 4484, 874, 98071, 2882, 4151, 657, 98071, 20260, 6093, 1470, 98071, 1211, 10676, 221895, 16667, 657, 98071, 20260, 6093, 5, 4151, 113889, 4667, 18583, 5, 39340, 506, 33716, 5, 148932, 9424, 20616, 21295, 12, 2451, 9213, 6093, 28726, 74, 2451, 9424, 119718, 63188, 28726, 74, 2451, 29434, 63188, 1644, 12483, 2451, 10184, 49597, 6093, 28726, 74, 2451, 10184, 49597, 5666, 159696, 28726, 74, 2451, 55242, 13805, 109316, 74, 2451, 9934, 98071, 148346, 109316, 74, 2451, 4838, 4944, 244640, 2882, 109316, 74, 2451, 3523, 71512, 28726, 74, 2451, 9424, 20616, 23269, 28726, 12, 2451, 895, 905, 109316, 74, 2451, 3069, 13845 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 905, 109316, 74, 2451, 6, 136108, 31623, 109316, 1211, 2451, 42572, 6093, 26394, 28726, 15, 29771, 35189, 12, 42572, 6093, 26394, 28726, 1285, 49597, 2442, 1470, 98071, 1211, 107189, 6, 23173, 28320, 16, 35596, 36909, 77188, 1470, 30682, 4151, 4231, 16870, 16932, 12, 2451, 123736, 506, 4, 6, 148346, 98071, 4852, 2882, 4838, 42572, 6093, 89930, 5, 132, 36419, 148346, 2442, 110970, 98071, 1211, 4, 3496, 13845, 46685, 30109, 54260, 4852, 194, 89149, 2808, 98071, 1211, 6, 148346, 1644, 98071, 152848, 45521, 48253, 77518, 5, 51723, 9424, 20616, 21295, 9934, 98071, 4667, 1470, 75230, 2702, 5, 55242, 56169, 9934, 98071, 4667, 1470, 54260, 59461, 4838, 159696, 4484, 1470, 33809, 1211, 4151, 1054, 120467, 1470, 98071, 74004, 75230, 4944, 8903, 36909, 21106, 12483, 42572, 33809, 1211, 6, 26394, 54574, 12483, 4, 6, 147713, 2702, 9934, 98071, 4667, 1470, 54260, 5666, 8903, 148346, 75230, 8903, 1211, 874, 98071, 2882, 26, 1211, 41764, 12130, 6, 23173, 137377, 230764, 35189, 1751, 75230, 2702, 42572, 33809, 1211, 10676, 9934, 98071, 26394, 16747, 98071, 8903, 1211, 1470, 33809, 1211, 17190, 98833, 9934, 98071, 4667, 6, 23173, 75230, 6293, 230764, 4151, 162726, 2442, 26394, 1285, 49597, 25207, 4944, 244640, 18415, 364, 183512, 1470, 75230, 36909, 8903, 101296, 4944, 16932, 12, 15435, 874, 98071, 2882, 4151, 1470, 98071, 23269, 159696, 110317, 82576, 42572, 71804, 4944, 244640, 16580, 2882, 41764, 33809, 1211, 2808, 75230, 148346, 12483, 6, 23173, 75230, 2702, 4, 2200, 4151, 199145, 9934, 98071, 56169, 16175, 33809, 2882, 4838, 6, 225975, 12, 2451, 6, 148346, 2808, 110573, 10125, 292, 4269, 98071, 148346, 4838, 112216, 48253, 5, 2932, 15907, 1470, 54260, 59461, 4838, 112216, 48253, 4, 1470, 33809, 1211, 1470, 75230, 148346, 4151, 657, 98071, 8903, 16747, 98071, 61397, 6, 186145, 23741, 15, 2865, 98071, 2882, 26, 1211, 200795, 1211, 132025, 119718, 15533, 247, 119055, 6093, 95455, 37826, 6235, 2882, 33809, 1211, 4, 657, 176727, 9934, 98071, 4667, 4231, 114436, 132025, 29659, 64260, 1470, 98071, 56417, 5, 1470, 75230, 148346, 7511, 49597, 16803, 2451, 147713, 2882, 7746, 4151, 55242, 1644, 148346, 6093, 125523, 6, 75322, 39083, 4, 1470, 33809, 1211, 8947, 68891, 2882, 9934, 98071, 4667, 163139, 16932, 1470, 98071, 148346, 6093, 95455, 1470, 54260, 2932, 65482, 5, 132, 2882, 16932, 78683, 21087, 4, 6319, 98071, 29789, 905, 5, 33960, 148346, 194, 77518, 84475, 3947, 27, 609, 55823, 153222, 44779, 5, 1285, 49597, 145813, 98071, 1644, 3056, 23050, 46244, 18583, 3131, 80453, 54260, 2882, 5, 8947, 3131, 22426, 15350, 12483, 1470, 75230, 4667, 4151, 905, 59929, 2702, 65482, 5, 3373, 26, 62763, 1470, 98071, 4852, 7508, 12, 46440, 6, 148346, 21106, 98071, 148346, 2882, 6, 148346, 54260, 1285, 49597, 6, 23173, 119273, 84577, 12483, 2808, 98071, 1211, 1285, 49597, 6, 124470, 36909, 21292, 850, 5, 87905, 2808, 98071, 1211, 6, 78683, 119718, 48904, 13159, 194, 51723, 67882, 4944, 244640, 2882, 42572, 8580, 6, 235210, 2648, 6319, 33809, 22426, 39340, 44779, 6, 78683, 119718, 48904, 13159, 16, 1470, 33809, 1211, 18225, 9424, 20616, 21295, 9934, 98071, 4667, 1470, 75230, 2702, 5, 113889, 4944, 244640, 710, 1470, 75230, 2702, 26394, 54574, 12483, 1470, 98071, 4852, 1470, 54260, 59461, 4151, 6, 148346, 13845 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 506, 148346, 2754, 1470, 33809, 1211, 7369, 21776, 98833, 9934, 98071, 4667, 6319, 71804, 55823, 1211, 74, 8903, 506, 61621, 1285, 49597, 9213, 148346, 2442, 98071, 8903, 3069, 31467, 3131, 23173, 12483, 874, 98071, 2882, 1285, 49597, 42572, 21292, 1285, 49597, 21374, 109636, 4113, 44779, 1470, 33809, 1211, 4838, 177282, 75230, 55823, 1211, 4, 1982, 71577, 2882, 9934, 98071, 4667, 4151, 6, 148346, 13845, 506, 148346, 2754, 230764, 2200, 23050, 506, 36258, 220224, 6, 113889, 4944, 244640, 101328, 8903, 1211, 5, 119055, 171428, 7369, 3496, 244640, 71577, 2882, 4, 35189, 1470, 98071, 4852, 6, 148346, 13845, 506, 148346, 2754, 5, 18225, 67882, 4944, 244640, 2882, 1470, 75230, 36909, 2702, 5666, 54260, 6319, 33809, 42410, 4113, 44779, 1470, 33809, 1211, 1285, 49597, 145813, 98071, 1644, 6235, 506, 2882, 238144, 75578, 5, 132, 2702, 86733, 78683, 2702, 98071, 4, 6319, 98071, 4113, 119718, 5, 33960, 148346, 194, 568, 71, 5, 818, 6, 144532, 76632, 49597, 2702, 12, 12825, 16, 26612, 42572, 54260, 8903, 28726, 46654, 98071, 506, 2882, 5, 2865, 26, 26394, 506, 21295, 1470, 54260, 119132, 1470, 75230, 2702, 5, 55242, 56169, 7369, 9934, 98071, 4667, 4838, 905, 37016, 4, 1470, 33809, 1211, 76961, 15, 2442, 6093, 1470, 75230, 2702, 8903, 26394, 54574, 16932, 6, 21106, 54260, 1211, 1470, 75230, 4667, 16, 364, 21106, 2702, 12483, 230764, 220224, 1211, 6319, 2932, 98071, 21776, 2050, 21374, 18415, 1644, 36909, 98071, 23405, 6093, 1470, 33809, 1211, 6093, 16175, 33809, 2882, 4838, 364, 75230, 148346, 1285, 49597, 364, 48904, 2442, 2205, 7508, 6093, 364, 75230, 4667, 1470, 33809, 1211, 4838, 6, 225975, 12, 2451, 137, 26612, 10184, 8903, 28726, 46654, 98071, 506, 2882, 711, 94741, 63020, 4, 148932, 1470, 75230, 36909, 506, 75230, 148346, 12483, 1285, 49597, 364, 183512, 4, 4151, 148346, 54260, 364, 21106, 96986, 10676, 42572, 98071, 23405, 6093, 3496, 92904, 2808, 75230, 2702, 8903, 2702, 2702, 25207, 13805, 5, 6, 113889, 4944, 244640, 2648, 13159, 6, 212484, 2702, 148932, 3069, 31467, 2442, 98071, 4484, 6, 23173, 137377, 1285, 49597, 364, 183512, 230764, 21776, 93509, 75230, 2702, 1470, 33809, 1211, 7369, 21776, 4944, 35596, 163139, 16932, 1470, 75230, 2702, 42572, 6093, 3131, 98071, 2442, 65482, 15750, 36909, 850, 2205, 6, 170355, 4944, 244640, 12483, 4, 199145, 148346, 26612, 159696, 8903, 1211, 9934, 98071, 4667, 1470, 98071, 1211, 4151, 657, 33809, 159212, 1470, 33809, 1211, 6, 148346, 54260, 177274, 1211, 874, 39083, 364, 75230, 148346, 2882, 8009, 1470, 54260, 6293, 1285, 49597, 506, 183512, 1470, 33809, 1211, 76961, 7265, 1470, 98071, 56417, 5, 6, 97634, 16932, 364, 75230, 148346, 2882, 1470, 54260, 59461, 3523, 98071, 16803, 230764, 1285, 49597, 364, 183512, 77518, 4, 94741, 63020, 7369, 6, 48904, 98071, 2442, 6093, 147713, 12483, 21776, 2050, 6319, 137377, 874, 98071, 2882, 26, 1211, 3373, 99611, 6, 23173, 137377, 230764, 4151, 1751, 75230, 2702, 4, 7508, 98071, 2808, 75230, 8903, 1211, 56170, 105235, 21295, 1470, 33809, 1211, 148932, 17190, 98833, 6, 23173, 75230, 6293, 4838, 42572, 98071, 23405, 6093, 230764, 22753, 23269, 162726, 31623, 13159, 1470, 33809, 1211, 4151, 6, 148346, 13845, 13982, 49268, 292, 36324, 75230, 364, 54260, 16803, 4151, 1470, 75230, 23405, 21660, 20616, 1644 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16932, 292, 364, 75230, 148346, 97634, 1211, 874, 98071, 2882, 220224, 1211, 42572, 23174, 6093, 230764, 22753, 3069, 31467, 6, 26394, 54574, 12483, 4261, 710, 16, 124470, 3111, 31467, 25093, 31467, 49209, 5, 5, 568, 31, 5, 18304, 31, 3584, 5, 7508, 32, 16175, 5, 5, 29659, 8632, 2702, 19024, 16747, 3496, 26612, 159696, 1644, 230764, 1470, 9721, 6, 33809, 5, 506, 5, 506, 210726, 7213, 75386, 5, 506, 18250, 230764, 6, 225975, 2882, 6, 5, 6, 57619, 33718, 6, 5, 47567, 2702, 95766, 1054, 64213, 6, 5, 5332, 1054, 6, 5, 905, 21106, 2702, 87311, 54574, 29434, 29259, 4269, 8632, 2702, 163139, 55546, 1644, 44917, 54745, 1644, 6, 5, 113524, 7508, 34709, 44917, 9721, 104274, 6428, 5, 37729, 77518, 84475, 4151, 1470, 75230, 2702, 2932, 65482, 54574, 16932, 710, 2190, 123103, 23269, 4838, 6, 170355, 4667, 4, 199145, 6319, 68558, 7243, 21066, 98071, 506, 12483, 2451, 24621, 46244, 16803, 35596, 54260, 1644, 119055, 77188, 6235, 148346, 2442, 75230, 40920, 215031, 119055, 99766, 4, 199145, 4151, 1470, 75230, 92904, 33809, 4484, 37826, 48904, 26, 20616, 100863, 98071, 4944, 4484, 54260, 2882, 21422, 4838, 6, 170355, 4667, 199145, 6, 148346, 26612, 159696, 98833, 9934, 98071, 4667, 1470, 98071, 1211, 4151, 657, 33809, 23741, 5, 117902, 22426, 710, 44478, 1470, 98071, 4852, 77985, 12, 2451, 4838, 6, 97634, 7201, 42572, 1644, 98071, 506, 2882, 15, 75322, 39083, 12, 4838, 16175, 137377, 874, 98071, 2882, 9934, 75230, 123073, 874, 98071, 66317, 46654, 98071, 506, 97634, 35189, 12, 4838, 16175, 137377, 874, 98071, 2882, 8947, 98071, 2932, 12399, 2808, 33809, 1211, 7369, 364, 75230, 148346, 2882, 4, 6, 225975, 186797, 95455, 4, 230764, 1285, 49597, 364, 26612, 93238, 4, 1470, 33809, 1211, 1054, 12483, 22639, 6093, 16175, 33809, 2882, 1470, 98071, 56417, 113889, 4667, 4, 6, 94741, 63020, 4231, 114436, 9934, 98071, 4667, 6, 48904, 98071, 35189, 147713, 12483, 74, 25442, 16, 1470, 98071, 1211, 16175, 86733, 78683, 21087, 21374, 4113, 119718, 5, 33960, 148346, 5, 16, 42572, 25207, 98833, 18225, 1470, 30682, 12, 2451, 137, 90848, 2050, 1054, 98071, 1644, 126934, 24846, 12415, 159212, 7369, 6, 68558, 5332, 22426, 13159, 4838, 6, 170355, 4667, 4, 77985, 12, 137, 148346, 98071, 1644, 39340, 2909, 19302, 71577, 2882, 18225, 1470, 98071, 56417, 7265, 35189, 10339, 75230, 16803, 1470, 98071, 1211, 4151, 162726, 710, 26394, 12, 2451, 5, 28726, 78683, 4667, 155, 84475, 137, 195164, 6093, 2909, 16888, 2648, 2882, 18225, 1470, 98071, 56417, 2865, 98071, 2882, 4151, 11211, 16747, 230764, 1285, 49597, 162726, 54260, 26394, 4, 36324, 75230, 163139, 7265, 4838, 14856, 101608, 12, 2451, 37271, 2932, 137377, 13845, 2909, 6, 105235, 4944, 244640, 2882, 51723, 1470, 30682, 874, 98071, 2702, 1285, 42572, 23174, 6093, 5, 15, 35189, 144754, 1470, 98071, 4852, 1285, 49597, 145813, 98071, 1644, 6235, 141943, 98071, 98833, 194, 109589, 101080, 31467, 14081, 17190, 506, 212915, 148346, 54260, 194706, 15622, 25207, 1211, 10069, 114955, 159696, 21295, 2451, 137, 112711, 33809, 25093, 31467, 8580, 292, 230764, 119055, 13845, 104238, 364, 48904, 2442, 43649, 20616, 16803, 33809, 24846, 35596, 59919, 2882, 7369, 15, 1644, 14857, 1644, 2077, 37271, 2808, 75230, 6293, 6, 137218, 20260, 13845, 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 ]
[ 2050, 364, 183512, 5, 155, 186145, 23741, 7369, 4, 16175, 75230, 29659, 1470, 30682, 1470, 75230, 2702, 4231, 114436, 4, 119055, 63593, 172398, 11211, 16747, 7369, 37826, 6235, 226112, 36909, 12483, 5, 2808, 75230, 148346, 95455, 1470, 98071, 4852, 220273, 6235, 159696, 1211, 77985, 4, 364, 93497, 13845, 26, 2702, 364, 183512, 2205, 7369, 37826, 4, 364, 16803, 13159, 4, 3523, 98071, 16803, 6235, 49268, 120467, 12483, 4, 6, 225975, 2882, 4151, 6, 148346, 13845, 13982, 49268, 4, 6, 26394, 54574, 76632, 98071, 2932, 6428, 5, 10184, 49597, 23405, 6093, 12, 2451, 137, 4852, 39083, 16803, 33809, 6235, 225975, 2882, 230764, 49920, 86733, 2702, 364, 183512, 4, 4852, 39083, 16803, 33809, 6235, 159696, 1211, 2205, 21374, 49268, 2050, 6, 212394, 4, 165592, 75230, 6235, 506, 47332, 33809, 29434, 54260, 874, 39083, 6428, 33809, 81455, 4151, 6, 148346, 2442, 183512, 5, 155, 77518, 95766, 4151, 141879, 2442, 15, 119718, 120467, 230764, 220224, 1211, 42572, 98071, 23405, 6093, 42572, 186955, 1470, 75230, 2702, 95455, 141879, 119055, 99766, 2451, 6, 148346, 2442, 183512, 247, 6, 238144, 4852, 2882, 1470, 98071, 56417, 1470, 98071, 1211, 4151, 506, 75230, 4667, 364, 98071, 13497, 6093, 1285, 162726, 54260, 26394, 2702, 874, 98071, 2882, 21776, 17800, 48904, 2442, 4, 67882, 28726, 50856, 98071, 2932, 874, 98071, 2882, 9213, 178769, 1285, 49597, 42572, 18640, 33809, 2442, 10339, 33809, 1211, 162218, 4838, 34072, 5, 48904, 26, 2808, 75230, 111137, 101296, 4944, 244640, 18415, 11211, 16747, 364, 186955, 141943, 98071, 2932, 22753, 18583, 7746, 1470, 75230, 2702, 8903, 29659, 2442, 87442, 7265, 26, 1211, 2932, 90848, 1982, 12483, 10184, 49597, 23405, 6093, 6, 23173, 75230, 6293, 2200, 7265, 26, 1211, 6319, 84577, 6, 23173, 137377, 4, 6, 148346, 16870, 15907, 12, 4838, 364, 92605, 195164, 6093, 5, 13342, 8903, 101296, 4944, 18415, 364, 183512, 4, 4838, 42572, 75230, 16803, 12, 4838, 364, 75322, 6093, 5, 8300, 238144, 42572, 75230, 5, 96986, 12, 1470, 10339, 75230, 4484, 5, 26612, 10339, 75230, 16803, 874, 98071, 2882, 6, 48904, 26, 2808, 75230, 2702, 8903, 3131, 49268, 87442, 12483, 3373, 54260, 18415, 1644, 223390, 6093, 12, 4838, 3523, 142429, 13845, 5, 144754, 26, 1211, 19302, 54260, 119132, 42572, 23174, 6093, 1470, 75230, 2702, 8903, 29659, 2442, 87442, 12, 4838, 6, 222907, 39340, 5, 2865, 98071, 2702, 26, 1211, 4269, 90848, 148346, 12483, 42572, 23174, 6093, 9424, 119718, 98071, 3131, 12483, 10676, 16175, 54260, 18415, 1644, 2205, 7265, 13845, 80885, 1211, 6, 223390, 6093, 12, 4838, 10184, 2932, 5, 21106, 4113, 10184, 49597, 23405, 6093, 1470, 75230, 36909, 8903, 101296, 4944, 244640, 2882, 4, 4838, 90848, 172060, 54260, 4852, 186797, 12, 4838, 25933, 203232, 13845, 5, 21106, 4113, 42572, 23174, 6093, 3069, 235210, 141847, 109316, 98833, 2200, 1470, 54260, 5666, 8903, 148346, 75230, 8903, 1211, 4, 2205, 4151, 7508, 98071, 92867, 2702, 17310, 23173, 75230, 6293, 12, 292, 4838, 17190, 36909, 13845, 5, 35189, 895, 43178, 148346, 75230, 8903, 1211, 12, 2451, 26612, 42572, 21106, 43178, 148346, 75230, 8903, 1211, 5, 148346, 710, 177274, 1211, 874, 39083, 6, 238144, 39293, 16747, 98071, 2932, 874, 98071, 2882, 4151, 11211, 16747, 5332, 22426, 13159, 4838, 6, 148346, 7972, 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 ]
[ 42572, 25207, 98833, 1470, 98071, 56417, 35189, 6, 148346, 13845, 136108, 25391, 12, 199145, 1470, 98071, 4852, 95455, 32, 18225, 6, 238144, 4852, 2702, 1470, 98071, 56417, 4, 77985, 4, 874, 98071, 2882, 4151, 364, 183512, 6, 48904, 142429, 13845, 4, 1470, 33809, 1211, 4151, 6, 148346, 13845, 13982, 25391, 42572, 25207, 98833, 1470, 98071, 56417, 12, 2451, 137, 119718, 448, 1470, 98071, 4852, 48494, 203232, 24846, 186145, 159212, 7369, 4, 6, 148346, 54260, 2882, 1470, 98071, 56417, 1470, 75230, 2702, 4151, 4, 199145, 37826, 1470, 30682, 6235, 119718, 98071, 104149, 1285, 49597, 3523, 142429, 13845, 4, 6, 97634, 418, 46685, 3523, 98071, 16803, 4, 43649, 22426, 47332, 1470, 98071, 56417, 4231, 5, 59461, 29434, 54260, 874, 39083, 874, 98071, 2882, 4151, 3523, 142429, 13845, 2200, 9934, 29771, 13497, 35189, 148346, 54260, 12, 2451, 137, 113889, 20315, 1644, 4, 3523, 142429, 13845, 4, 3523, 142429, 13845, 2909, 95766, 36324, 75230, 42572, 25207, 2932, 2702, 18225, 1470, 98071, 56417, 29434, 54260, 874, 39083, 5, 132, 119718, 23173, 36326, 194, 77518, 119055, 23173, 710, 84577, 5, 2808, 33809, 15231, 238144, 2050, 116105, 5, 2808, 75230, 6293, 21776, 1644, 92867, 12483, 10184, 49597, 23405, 6093, 43649, 20616, 5, 2882, 33809, 32, 905, 39083, 73215, 6235, 225975, 2882, 230764, 3373, 24621, 2884, 26, 2050, 364, 48904, 2442, 4, 2442, 39083, 16803, 33809, 6, 61397, 12483, 1470, 98071, 1211, 64769, 8903, 71804, 50856, 4, 119718, 39083, 47332, 33809, 174246, 6, 148346, 29060, 8903, 119718, 183512, 4, 165592, 75230, 874, 33809, 4852, 2882, 33809, 7508, 98071, 2442, 1751, 203749, 12483, 6319, 137377, 6, 68558, 7508, 6093, 1054, 183512, 5, 24244, 29771, 1982, 40096, 36419, 119718, 4, 119055, 23173, 2882, 5, 4269, 148346, 5, 16, 26612, 10339, 54260, 8903, 28726, 42572, 116793, 2882, 5, 2808, 54260, 6093, 6, 225975, 2882, 6, 12130, 9424, 238144, 96986, 12, 137, 39293, 506, 133190, 4, 4838, 42572, 54260, 8903, 28726, 42572, 116793, 2882, 5, 2200, 7369, 905, 54260, 4852, 2702, 1470, 98071, 56417, 7369, 54260, 874, 98071, 2882, 4151, 364, 183512, 2205, 4151, 364, 75230, 4667, 4, 2205, 119055, 12483, 4231, 114436, 364, 54260, 148346, 96256, 75230, 6293, 10676, 6319, 137377, 3069, 31467, 16175, 33809, 1211, 4838, 6, 178674, 4, 4269, 98071, 2882, 7369, 1470, 98071, 56417, 4838, 21374, 26394, 1644, 2205, 364, 21106, 4852, 5, 159696, 46244, 18583, 186479, 54260, 2882, 194, 88151, 506, 54260, 13497, 1470, 98071, 4852, 1285, 6, 87311, 20315, 1285, 58571, 26394, 19302, 54260, 2648, 44779, 5, 2808, 54260, 1211, 874, 54260, 20315, 1644, 6235, 46244, 3069, 21422, 4838, 6, 238144, 18415, 1470, 33809, 1211, 7265, 6, 148346, 54260, 20315, 364, 141943, 6, 105515, 22753, 6, 148346, 23829, 5594, 2442, 4838, 364, 75230, 148346, 1470, 75230, 4667, 6, 30979, 3373, 54260, 88945, 1644, 3069, 31467, 12, 9934, 98071, 23405, 2882, 3069, 31467, 12, 506, 54260, 13497, 9213, 1285, 77014, 68697, 71, 28962, 19, 1900, 5, 1644, 8300, 4667, 21733, 15435, 6, 26394, 108209, 1285, 6, 29025, 101296, 1285, 9213, 364, 41595, 2451, 364, 41595, 1470, 98071, 26, 1285, 49597, 6, 205416, 4113, 1285, 49597, 6319, 29766, 26394, 19302, 54260, 2442, 44779, 5, 119718, 23173, 36326, 194, 93815, 78683 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 36326, 874, 98071, 2882, 874, 98071, 66317, 13159, 7972, 30750, 114955, 21422, 235210, 12483, 23050, 506, 51723, 7746, 6, 68558, 148932, 6, 218161, 6, 148346, 21292, 3523, 238144, 96986, 10069, 364, 75230, 2882, 42572, 33809, 1211, 4151, 1470, 75230, 148346, 6093, 3131, 16932, 6, 75230, 2882, 364, 183512, 18415, 44478, 874, 98071, 2882, 9424, 238144, 42572, 23174, 6093, 4, 230764, 165592, 26612, 185527, 4, 36324, 76961, 364, 141943, 6319, 54260, 12483, 1470, 75230, 2702, 2205, 364, 48904, 2442, 230764, 4151, 221895, 2442, 5, 220224, 506, 21106, 96986, 220224, 564, 54260, 76776, 50856, 2200, 364, 75230, 20315, 1211, 4151, 144754, 6, 23173, 75230, 6293, 2200, 6, 23173, 137377, 1470, 33809, 1211, 6, 225975, 12483, 4151, 148346, 710, 12, 48253, 448, 4, 6, 48253, 98071, 2702, 191795, 148346, 4113, 44779, 4, 48253, 448, 4, 16175, 54260, 22426, 191795, 148346, 4113, 44779, 4, 95766, 22753, 6, 212484, 12483, 120202, 4, 112216, 125830, 12483, 7746, 1470, 54260, 16667, 95455, 221895, 2200, 1285, 49597, 11211, 16747, 6, 23173, 54260, 1211, 2808, 33809, 1211, 6, 225975, 12483, 21422, 2205, 4151, 74806, 119718, 710, 16747, 12, 78683, 36326, 874, 98071, 2882, 7544, 66317, 4, 78683, 36326, 7265, 7544, 66317, 4, 78683, 36326, 7265, 7544, 66317, 5, 132, 119718, 23173, 36326, 194, 2808, 68518, 119718, 23173, 710, 84577, 5, 13342, 22426, 4, 3069, 22426, 4, 6, 26, 4113, 46685, 1644, 4, 4484, 33809, 2050, 3069, 31467, 874, 98071, 2442, 1470, 98071, 1211, 115222, 46685, 1644, 5, 905, 13845, 26, 4667, 7508, 9221, 162218, 6, 75230, 104149, 26612, 7213, 2702, 109316, 874, 98071, 2882, 3056, 12483, 5, 95766, 22753, 112216, 153222, 1211, 9934, 98071, 4667, 2200, 6, 225975, 12483, 12, 90848, 50853, 98071, 4, 7508, 39083, 12415, 4, 7508, 39083, 10069, 5, 132, 186955, 88660, 16667, 2882, 84577, 8580, 4, 119055, 29771, 54574, 98071, 1211, 38, 5, 2451, 93815, 119718, 23173, 710, 84577, 12, 48253, 33809, 22426, 4, 16175, 34079, 22426, 4, 4484, 33809, 25207, 6, 71804, 7201, 4, 4484, 33809, 63532, 1285, 49597, 10339, 48904, 4113, 2808, 33809, 1211, 17824, 54260, 2882, 73784, 16175, 98071, 3131, 4, 4484, 33809, 63532, 4151, 10339, 75230, 195054, 92500, 6, 119273, 230764, 3373, 26, 8903, 1982, 18415, 564, 46545, 6, 131445, 5, 132, 18415, 148346, 2442, 13159, 98071, 1211, 4, 3496, 244640, 13845, 2865, 5, 30109, 54260, 4852, 194, 5666, 68518, 119718, 23173, 710, 84577, 5, 13342, 22426, 4, 3069, 22426, 19302, 183911, 4944, 44779, 4, 23173, 1982, 16667, 25207, 4667, 7508, 23173, 33809, 13497, 6093, 4, 506, 148346, 2882, 18225, 230764, 3373, 26, 2808, 98071, 75578, 1982, 29060, 109316, 4, 1644, 75230, 23741, 3373, 26, 16580, 50856, 4838, 33104, 75578, 5, 905, 78683, 25207, 119718, 5, 657, 33809, 148346, 1644, 5, 30109, 54260, 4852, 194, 63652, 101080, 31467, 14081, 17190, 506, 212915, 148346, 54260, 22639, 1211, 6, 63188, 12483, 83904, 65577, 13845, 710, 16583, 4, 95247, 33809, 16932, 4231, 33809, 2648, 5, 2808, 54260, 1211, 6, 54260, 23405, 13845, 6235, 506, 2702, 3523, 33809, 21422, 9424, 75230, 2050, 6, 54260, 23405, 13845, 1470, 33809, 1211, 4269, 98071, 2882, 1470, 98071, 56417, 1285, 49597, 364, 183512, 2451, 56976, 13845, 710, 16583, 74, 364, 186955 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 141943, 98071, 2932, 9934, 98071, 4667, 36324, 75230, 6, 23173, 33809, 46685, 6, 148346, 710, 1285, 49597, 11211, 16747, 4, 1751, 218241, 1644, 12483, 220224, 3069, 31467, 2865, 98071, 2882, 220224, 2200, 18225, 9934, 98071, 23405, 2882, 12, 2451, 56976, 13845, 710, 16583, 4, 4838, 4269, 33809, 16932, 4231, 33809, 2442, 711, 26612, 364, 21106, 1982, 12483, 3947, 27, 609, 132025, 8903, 148346, 2442, 98071, 506, 2882, 4, 26612, 364, 21106, 148346, 12483, 3947, 27, 609, 6, 23173, 37016, 23269, 15908, 98071, 51723, 4, 26612, 364, 21106, 1982, 12483, 364, 27, 609, 3069, 31467, 2442, 98071, 4484, 8903, 4484, 33809, 2050, 12483, 5, 119718, 23173, 36326, 5, 16, 14546, 16, 159696, 2442, 163139, 49597, 1644, 1285, 49597, 6, 170355, 4667, 705, 2808, 54260, 59461, 364, 186955, 5332, 22426, 13159, 1470, 98071, 1211, 4151, 11211, 16747, 2200, 56170, 506, 26612, 1982, 101608, 506, 54260, 2648, 364, 75230, 148346, 2702, 7369, 4852, 98071, 230764, 1470, 98071, 1211, 4151, 506, 75230, 4667, 1470, 33809, 1211, 71180, 2702, 1470, 75230, 2702, 12, 2451, 1054, 6093, 364, 98071, 1644, 1285, 49597, 6, 170355, 4667, 705, 2808, 33809, 1211, 119055, 12483, 22639, 6093, 42493, 6, 18167, 7508, 33809, 6293, 6, 68558, 5, 2451, 6, 137218, 4667, 711, 35596, 36909, 93497, 7369, 12, 2451, 46050, 4667, 1470, 75230, 7201, 26, 1211, 6, 94741, 4667, 4, 1982, 35596, 3131, 6, 71804, 92867, 2882, 15, 1644, 98071, 47332, 247, 29771, 1982, 1285, 49597, 6, 148346, 29771, 148346, 4113, 33809, 18415, 6, 76776, 40920, 5, 58032, 23173, 2050, 26612, 5, 16, 2808, 5, 36076, 292, 119718, 23173, 710, 84577, 5, 2451, 7508, 6093, 1054, 98071, 1644, 1285, 49597, 6, 170355, 4667, 705, 2451, 6255, 5, 2451, 3373, 26, 4852, 39083, 1470, 98071, 1211, 7508, 98071, 2442, 6, 23173, 8580, 6, 23173, 33809, 609, 5, 132, 1644, 29766, 2648, 16, 148346, 5, 36076, 292, 119718, 23173, 710, 84577, 5, 159696, 2442, 163139, 1644, 95455, 5, 2451, 1054, 6093, 1054, 98071, 1644, 48494, 203232, 9934, 2451, 6, 63188, 5, 2451, 6235, 506, 3069, 31467, 7508, 6093, 115222, 45629, 33809, 1211, 56170, 13458, 12483, 54745, 4667, 15, 2648, 98071, 4667, 247, 88660, 4667, 657, 218241, 3131, 12483, 2808, 33809, 1211, 7508, 33809, 73095, 4667, 15, 9719, 4667, 194, 132, 59919, 15350, 1470, 33809, 2442, 56052, 4, 6, 192494, 92867, 29766, 4, 3944, 148346, 1644, 5, 3523, 33809, 148346, 5, 16, 101839, 159696, 2442, 163139, 49597, 1644, 1285, 49597, 6, 170355, 4667, 5, 2808, 127684, 6, 225975, 2882, 12, 137, 159696, 2442, 8947, 1054, 29060, 4151, 184639, 6, 23173, 75230, 1982, 225975, 12483, 6, 137218, 4667, 4, 4151, 25616, 176727, 1285, 49597, 6, 170355, 4667, 5, 2205, 7369, 7508, 75230, 148346, 2882, 230764, 4838, 18583, 101296, 1982, 18415, 364, 183512, 4, 6, 75322, 39083, 364, 186955, 6, 123073, 22426, 13159, 1470, 98071, 1211, 1470, 98071, 46244, 1470, 33809, 1211, 6, 75322, 39083, 3523, 98071, 29659, 4, 2205, 7369, 71180, 2882, 1470, 75230, 2702, 12, 2451, 137, 2442, 6093, 163139, 1644, 7508, 12, 6, 170355, 4667, 705, 25391, 710, 12483, 76961, 12, 2451, 6, 5, 137218, 4667, 92500, 6, 148346, 54260, 2050, 4838, 122868, 63593, 54260, 119132 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3523, 13159, 12415, 4, 199145, 2181, 119055, 77188, 4, 6319, 54260, 2882, 1751, 75230, 1211, 6, 124470, 9719, 2648, 1470, 75230, 47351, 3373, 26, 2808, 98071, 4852, 6, 148346, 107182, 22639, 190386, 18167, 1470, 41595, 131762, 13456, 54260, 20315, 1211, 4, 7508, 6093, 3373, 26, 506, 120467, 6235, 25391, 98071, 8903, 1211, 4151, 6, 93497, 104238, 5, 1470, 33809, 1211, 95455, 46440, 163139, 49597, 35189, 506, 39083, 2882, 9934, 98071, 4667, 6, 109995, 132025, 506, 75230, 148346, 6, 68558, 5, 132, 119718, 29766, 36419, 93917, 26612, 3373, 97634, 71804, 29260, 3056, 6235, 240863, 29789, 4838, 6319, 119273, 13845, 6, 148346, 26612, 3131, 203749, 12483, 5, 13159, 7972, 30750, 6, 54260, 23405, 44779, 657, 4, 8903, 1211, 6, 23173, 75230, 6293, 3069, 31467, 10184, 49597, 6093, 10184, 49597, 23405, 6093, 42572, 33809, 1211, 1285, 185182, 2442, 1470, 75230, 2702, 4852, 98071, 2702, 6, 148346, 69452, 6, 37016, 230764, 215031, 185527, 4, 36324, 1285, 49597, 4269, 90848, 148346, 4113, 41764, 23174, 80453, 6, 148346, 119425, 148346, 12483, 6, 23173, 33809, 49268, 48904, 2442, 42572, 24295, 26, 2050, 6, 147502, 5, 76961, 364, 141943, 7508, 33809, 165354, 220224, 9424, 5, 4852, 22426, 30750, 4, 2200, 1470, 54260, 1211, 7508, 4, 506, 1470, 33809, 1211, 22639, 65482, 506, 75386, 9934, 98071, 2702, 26, 1211, 78104, 18415, 1644, 36909, 23174, 6093, 12, 2808, 48706, 14081, 179625, 9213, 6235, 2932, 112711, 18406, 5, 10001, 16635, 23150, 39, 3584, 5, 2808, 3523, 64213, 5, 2932, 2808, 5332, 9213, 19024, 29260, 6, 5, 3373, 97634, 1470, 119718, 34533, 6235, 3523, 29659, 7369, 364, 26612, 6, 64213, 13804, 6, 5, 9356, 32887, 1644, 6, 5, 6319, 13159, 5, 8903, 1211, 6, 5, 13804, 6, 5, 3069, 6, 5, 7508, 54260, 6, 5, 1470, 6, 121865, 6, 48253, 25603, 84087, 6, 5, 6, 75230, 219947, 6, 4, 8300, 119718, 710, 3523, 29659, 1470, 29259, 16667, 4112, 2882, 26394, 506, 21295, 292, 6235, 7369, 6655, 219947, 55242, 13805, 4112, 2882, 6, 4, 10184, 6293, 4112, 2882, 10339, 18250, 4112, 2882, 4, 13982, 710, 5, 6, 26394, 42023, 7243, 97995, 12, 7508, 91275, 6, 5, 47332, 6, 76776, 6, 5, 26612, 48706, 39083, 165592, 3131, 3056, 6235, 2932, 226976, 155, 16, 26612, 6319, 119273, 13845, 6, 148346, 26612, 3131, 203749, 12483, 4, 506, 64260, 7369, 3523, 34533, 23050, 905, 98071, 16803, 1054, 8903, 47709, 33809, 16803, 16, 905, 98071, 7916, 49597, 1644, 6, 125830, 72158, 4484, 13159, 4838, 12415, 57619, 33809, 3131, 203749, 12483, 2451, 506, 64260, 7369, 6235, 26394, 506, 21295, 12, 219947, 123959, 4, 219947, 3069, 2004, 219947, 29434, 54260, 4, 2932, 98071, 16803, 42572, 63188, 4, 7511, 49597, 29659, 10184, 23269, 6293, 4, 7511, 16803, 55242, 13805, 4, 7511, 49597, 29659, 22753, 1982, 12483, 4, 219947, 4838, 4944, 244640, 2882, 4, 710, 16, 55242, 506, 20632, 18553, 6, 148346, 87905, 5, 2947, 910, 101080, 31467, 14081, 17190, 506, 212915, 54260, 194706, 194255, 12483, 75230, 114955, 159696, 21295, 7511, 49597, 29659, 6, 129891, 4, 7511, 49597, 16803, 5, 95766, 230764, 119055, 13845, 4944, 244640, 12483, 42572, 98071, 5666, 59461, 8947, 6319, 54260, 2882, 1470, 75230, 2702, 6, 5, 7511, 49597, 46598, 26394 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42023, 2004, 23050, 99403, 15533, 5332, 12483, 23173, 29771, 7201, 42572, 8580, 3373, 98071, 2702, 2205, 3496, 12483, 364, 69855, 26, 2702, 1470, 98071, 148346, 6093, 125523, 4838, 87311, 710, 95455, 1470, 18640, 71512, 5, 132025, 16747, 24295, 6, 148346, 54260, 6, 48904, 26, 37016, 42572, 23174, 6093, 5, 6428, 47351, 23050, 506, 36258, 18225, 163139, 101608, 6, 23173, 137377, 10676, 10184, 49597, 23405, 6093, 4, 144295, 710, 4944, 12483, 8947, 21374, 47332, 1470, 75230, 2702, 95455, 141879, 1054, 99766, 4, 1470, 75230, 110573, 92904, 4, 6, 148346, 98071, 4852, 8947, 6, 148346, 7972, 148346, 2882, 95766, 42572, 23174, 6093, 2451, 506, 92605, 12483, 76961, 2205, 1470, 30682, 6, 23173, 8580, 29434, 710, 874, 39083, 3373, 98071, 2702, 26, 1211, 105250, 16667, 238144, 21422, 905, 75322, 141847, 109316, 2932, 36419, 42572, 17310, 6093, 2451, 2865, 98071, 2882, 26, 1211, 16175, 54260, 18415, 1644, 2205, 874, 98071, 18415, 75386, 2702, 12483, 42572, 23174, 6093, 5, 132, 119718, 23173, 2702, 8300, 5, 5, 148346, 98071, 1211, 1470, 98071, 4667, 874, 98071, 2442, 6235, 119859, 49008, 115222, 36419, 44779, 3373, 33809, 51723, 5, 2648, 120467, 145813, 98071, 1644, 6235, 506, 2882, 9213, 119055, 12, 26784, 3523, 33809, 18553, 17446, 5, 148346, 98071, 1211, 6255, 16175, 98071, 2442, 6235, 119859, 49008, 6319, 4, 13159, 4113, 44779, 5, 38, 564, 33809, 96986, 4, 506, 64260, 205026, 27702, 8903, 2932, 35596, 4838, 12065, 42023, 5, 2451, 12065, 42023, 4, 364, 33809, 42023, 4, 48494, 203232, 3523, 34533, 33809, 4838, 8580, 32, 2451, 564, 26, 2932, 98071, 1982, 874, 98071, 2442, 6, 23173, 8580, 6, 48904, 26, 20961, 5, 113451, 16667, 9213, 4, 1644, 64260, 9221, 133933, 239162, 1211, 115222, 36419, 32792, 6, 98594, 5, 5, 1662, 1982, 98071, 1211, 1470, 98071, 4667, 16175, 9221, 6235, 76776, 8903, 1211, 115222, 36419, 44779, 6, 114650, 12483, 4, 506, 64260, 874, 98071, 4667, 27702, 8903, 2932, 35596, 123736, 364, 68558, 5, 2451, 364, 68558, 4, 364, 68558, 4, 1054, 120467, 4269, 34533, 33809, 4838, 8580, 4852, 2451, 564, 26, 2932, 98071, 148346, 6, 23173, 8580, 4838, 30109, 20616, 5, 506, 29771, 16667, 30109, 20616, 4, 506, 33809, 16667, 9213, 4, 1644, 29771, 2865, 98071, 2442, 1751, 203749, 12483, 115222, 36419, 44779, 133749, 2909, 568, 1181, 5, 1982, 98071, 1211, 1470, 98071, 4667, 874, 98071, 2442, 6235, 119859, 49008, 115222, 36419, 44779, 3373, 33809, 51723, 4, 85465, 200117, 874, 98071, 4667, 27702, 8903, 2932, 35596, 4838, 6319, 40096, 126968, 5, 2451, 6319, 40096, 126968, 4, 6319, 75322, 126968, 4, 95455, 3523, 98071, 16803, 33809, 6, 23173, 8580, 32, 2451, 564, 26, 2932, 98071, 148346, 4838, 8580, 6, 56052, 1751, 113889, 148346, 13845, 5, 4484, 40096, 126968, 2702, 1751, 113889, 69801, 4, 506, 183718, 30109, 20616, 27, 1470, 5, 36324, 5, 152, 5, 163139, 49597, 2200, 534, 194, 5, 12483, 115518, 1470, 98071, 4667, 874, 98071, 2442, 6235, 119859, 49008, 115222, 36419, 44779, 564, 33809, 2702, 12483, 4, 506, 64260, 205026, 6, 148346, 26612, 8903, 2932, 35596, 4838, 6, 119859, 54561, 5, 2451, 6, 119859, 54561, 4, 6, 119859, 54561, 4, 1054, 120467, 4269, 34533, 6, 23173, 8580, 32, 5, 564, 26, 2932 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 98071, 148346, 6, 23173, 8580, 6, 56052, 46654, 98071, 195054, 5, 119859, 54561, 26, 2702, 46654, 98071, 195054, 4, 4484, 40096, 126968, 2702, 1751, 113889, 148346, 13845, 27, 1470, 5, 36324, 5, 7508, 5, 1054, 98071, 1470, 98071, 36682, 194, 856, 5, 115518, 6255, 20033, 6235, 119859, 49008, 115222, 36419, 44779, 3373, 33809, 2702, 12483, 4, 506, 64260, 874, 98071, 4667, 6, 148346, 48904, 4113, 2932, 35596, 4838, 32887, 149364, 5, 2451, 16175, 40377, 6093, 4, 32887, 59919, 4, 1054, 120467, 33960, 126934, 6, 23173, 54260, 1211, 12, 2451, 564, 26, 2932, 16011, 6, 23173, 8580, 6, 56052, 46050, 195054, 5, 18415, 59919, 2702, 46050, 49597, 195054, 4, 119859, 54561, 26, 2702, 46654, 98071, 195054, 27, 1470, 36324, 5, 1054, 5, 2568, 98071, 2205, 6, 12483, 5, 25222, 119859, 49008, 115222, 2050, 5, 25207, 4667, 15857, 13458, 1211, 4, 506, 64260, 205026, 6, 148346, 26612, 8903, 23847, 66293, 4838, 6, 70380, 5, 2451, 564, 54260, 2442, 4, 7508, 75230, 2442, 4, 4231, 120467, 4269, 98071, 126934, 6, 47351, 32, 2451, 160759, 148346, 4838, 61621, 44855, 6, 36723, 203232, 5, 2702, 75230, 32206, 9424, 137377, 4, 55823, 148346, 6093, 2050, 6319, 98071, 195054, 5, 5, 1470, 5, 6, 47351, 5, 7508, 5, 15, 506, 12, 2205, 5332, 194, 5, 1662, 4113, 62808, 6235, 8903, 49008, 115222, 36419, 44779, 3373, 33809, 51723, 4, 506, 64260, 874, 98071, 4667, 6, 148346, 48904, 4113, 2932, 35596, 1470, 6, 17645, 93238, 98071, 4484, 15, 2808, 157245, 98071, 4484, 194, 2451, 6, 17645, 50856, 7682, 4, 4231, 188301, 5, 1054, 120467, 4269, 34533, 33809, 19532, 8580, 32, 2451, 564, 26, 2932, 16011, 6, 23173, 28320, 6, 56052, 6319, 48775, 2050, 5, 17645, 50856, 7682, 2050, 6319, 137377, 4, 2865, 75230, 32206, 9424, 137377, 27, 1470, 5, 36324, 5, 1054, 5, 163139, 49597, 2205, 615, 16, 856, 1181, 568, 5, 148346, 8580, 6255, 874, 98071, 2442, 6235, 8903, 49008, 115222, 36419, 44779, 3373, 33809, 51723, 4, 506, 64260, 205026, 3496, 26612, 8903, 5666, 35596, 4838, 6, 240858, 5, 2451, 45495, 506, 4, 45495, 506, 4, 25933, 203232, 3523, 98071, 16803, 33809, 6, 23173, 8580, 32, 2451, 564, 26, 2932, 98071, 1982, 6, 23173, 8580, 44855, 3373, 42695, 506, 5, 41643, 46244, 26, 2702, 6, 51437, 17188, 4, 17645, 50856, 7682, 2050, 30109, 71577, 27, 1470, 5, 6, 47351, 5, 119055, 5, 15, 506, 98071, 1470, 98071, 1211, 501, 856, 18, 568, 5, 17537, 115518, 6255, 20033, 6235, 119859, 49008, 115222, 36419, 44779, 45495, 51723, 4, 506, 59929, 205026, 27702, 8903, 5666, 35596, 4838, 31807, 59919, 5, 2451, 31807, 59919, 4, 6, 148346, 13845, 36909, 4113, 4, 1054, 120467, 4269, 98071, 16803, 33809, 6, 23173, 8580, 32, 17879, 148346, 6, 23173, 8580, 6, 56052, 6, 124470, 26659, 5, 69801, 59919, 2702, 6, 124470, 26659, 4, 240858, 26, 2702, 3373, 42695, 506, 27, 1470, 5, 6, 47351, 5, 1054, 5, 15, 506, 98071, 2200, 501, 11839, 141, 568, 5, 2808, 148346, 98071, 1211, 6255, 7544, 23050, 119859, 49008, 115222, 36419, 44779, 15857, 23822, 1211, 4, 506, 64260, 205026, 27702, 23269, 2932, 35596, 4838, 34076, 3149, 5, 2451, 34076, 3149, 4, 6 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 138763, 4, 199145, 4269, 21292, 1982, 33809, 6, 23173, 61621, 32, 2451, 564, 26, 2932, 16011, 6, 23173, 12483, 874, 54260, 1211, 4269, 4944, 21733, 48904, 2932, 5, 138763, 26, 2702, 6235, 21733, 48904, 2932, 4, 148346, 109316, 6093, 26, 2702, 7838, 27, 1470, 5, 6, 47351, 5, 1054, 5, 15, 2442, 12, 2205, 106, 2808, 2808, 5, 38, 2808, 148346, 98071, 1211, 6255, 6, 2050, 5, 4269, 4944, 2932, 226976, 115222, 36419, 44779, 15857, 51723, 4, 506, 120467, 205026, 27702, 23269, 8903, 66293, 4838, 364, 2884, 5, 2451, 123822, 1211, 4, 123822, 1211, 4, 48494, 203232, 4269, 98071, 16803, 6, 47351, 32, 2451, 6, 92867, 26, 2932, 98071, 1982, 4838, 61621, 874, 54260, 1211, 6235, 905, 48904, 2932, 5, 506, 33104, 26, 2702, 6235, 170355, 23405, 4, 138763, 26, 2702, 6235, 4484, 143409, 4, 69801, 59919, 26, 2050, 7508, 17188, 4, 41643, 46244, 26, 2702, 3373, 42695, 506, 4, 17645, 50856, 7682, 26, 2702, 70695, 203232, 4, 2702, 75230, 2648, 26, 2050, 9424, 137377, 4, 18415, 63188, 26, 2702, 46050, 195054, 4, 119859, 54561, 26, 2050, 147582, 195054, 4, 133249, 101080, 14081, 17190, 506, 212915, 148346, 54260, 1470, 33809, 54561, 6, 54260, 20315, 1211, 10069, 114955, 159696, 21295, 78683, 46545, 4113, 26, 2702, 1751, 113889, 148346, 13845, 4, 506, 171433, 26, 2050, 30109, 20616, 4, 113451, 2932, 26, 2702, 9213, 4, 1644, 64260, 9221, 1751, 203749, 12483, 115222, 101608, 171665, 4667, 6, 98594, 5, 132, 88660, 4852, 18415, 7511, 49597, 7611, 194, 13556, 16, 23822, 29111, 26, 23269, 6319, 98071, 126968, 292, 6, 148346, 26612, 2050, 4, 6, 148346, 29771, 2050, 4, 6, 148346, 29771, 2050, 5, 12415, 1211, 23050, 506, 63532, 4838, 68550, 7265, 4151, 7508, 183512, 44458, 26, 37016, 10339, 39083, 4113, 4, 230764, 215031, 185527, 4, 36324, 1211, 3131, 149311, 100863, 6, 148346, 1644, 54260, 148346, 2882, 4838, 75230, 2702, 8903, 2882, 2882, 87442, 6, 109995, 7508, 6093, 10339, 75230, 16803, 5, 6428, 47351, 6235, 506, 2882, 18225, 6, 18250, 3069, 31467, 5, 12130, 2205, 874, 26, 506, 34533, 1470, 30682, 95455, 6, 5, 2882, 2451, 4113, 12, 51963, 132025, 5666, 39248, 51723, 5, 6, 12483, 4231, 114436, 23050, 506, 36258, 5, 5, 6, 5, 905, 6, 5, 2808, 54196, 6, 17645, 12, 1468, 54745, 710, 5, 1468, 905, 10213, 5, 152, 2451, 5666, 29259, 5, 23822, 29111, 26, 57619, 21374, 126968, 568, 27, 42, 2451, 19, 568, 5, 2451, 292, 2648, 7961, 203326, 6, 5, 148346, 29771, 2050, 6, 4, 90848, 2050, 6, 4, 17645, 6, 5, 6, 30033, 6, 57619, 6, 5, 74680, 7369, 2451, 46711, 29111, 26, 23269, 21374, 126968, 292, 564, 120467, 4, 6, 148346, 29771, 2050, 4, 6, 148346, 29771, 2050, 5, 132, 119718, 23173, 36326, 5, 16, 1819, 304, 26394, 54574, 12483, 6319, 23269, 22426, 5, 2808, 127684, 6235, 506, 2882, 21422, 3523, 9424, 238144, 96986, 6, 119312, 6, 225975, 2882, 12, 2451, 6, 75230, 7916, 49597, 13845, 121193, 29060, 151614, 16803, 33809, 705, 95766, 97995, 364, 54260, 148346, 2882, 3523, 54260, 9934, 4852, 30682, 6, 68558, 220224, 3069, 31467, 6, 26394, 54574, 12483, 874, 98071, 2882, 4151, 7508, 183512, 3120, 10705 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13497, 12483, 6, 23173, 75230, 6293, 12, 2451, 22639, 2702, 4, 9424, 119718, 710, 4, 1285, 5, 13342, 2050, 3373, 18167, 204982, 7369, 1470, 30682, 3373, 151227, 2205, 4151, 44917, 1211, 19532, 8580, 5, 2451, 10184, 6093, 5, 132, 137218, 38054, 134439, 5, 16, 1819, 363, 119718, 39083, 76776, 6428, 90848, 163177, 78683, 705, 710, 16, 2808, 54260, 59461, 42572, 25207, 98833, 10676, 9424, 238144, 96986, 12, 2451, 119055, 39083, 76776, 6428, 90848, 15907, 78683, 9934, 35596, 59919, 2882, 4231, 114436, 6428, 23173, 75230, 6293, 12, 2451, 1054, 39083, 76776, 5, 128750, 4113, 98833, 7369, 7746, 163139, 35189, 12, 2451, 6319, 97634, 4231, 16870, 4852, 18415, 705, 25442, 16, 2808, 98071, 4852, 4151, 64769, 5666, 59919, 12, 2451, 6, 137218, 1470, 98071, 16175, 98071, 4, 14004, 45521, 97634, 84977, 49597, 45521, 16932, 126925, 115952, 16, 2808, 98071, 16175, 64260, 2882, 57277, 34654, 905, 78683, 15, 68697, 15307, 38, 14004, 6, 76776, 41764, 18415, 2882, 15231, 119718, 46985, 5, 54260, 77518, 151461, 25207, 710, 16, 41764, 75230, 69181, 12, 1285, 6428, 90848, 25603, 39340, 3056, 6, 128750, 54260, 710, 12, 1211, 6, 4, 119055, 6093, 42572, 29771, 506, 33716, 705, 77518, 6, 5, 6255, 2200, 7508, 33809, 92500, 4151, 42572, 4113, 16932, 3373, 76179, 17410, 8580, 1285, 49597, 7038, 506, 24621, 25093, 15307, 2808, 33809, 1211, 6, 84577, 39340, 8903, 1211, 9213, 148346, 6093, 5, 13903, 16, 2808, 98071, 16747, 98071, 4484, 4, 119055, 12483, 1470, 98071, 4852, 10339, 195107, 705, 165592, 114955, 55242, 506, 12483, 6, 48904, 26, 14004, 213952, 4, 42572, 25207, 8903, 1211, 220224, 1470, 30682, 38, 2451, 1470, 98071, 16747, 98071, 4484, 4, 22639, 2442, 98071, 4484, 4, 21776, 1211, 1470, 98071, 26, 203841, 705, 43178, 4944, 59919, 2882, 7369, 12, 2451, 7508, 39083, 15529, 4, 7508, 39083, 61621, 4, 6, 90848, 50853, 5666, 711, 132, 36909, 23173, 150349, 121865, 5, 16, 107842, 51723, 6, 159696, 98833, 9934, 21106, 7611, 5, 8300, 238144, 6, 54260, 23405, 44779, 43649, 109316, 1211, 7746, 1470, 75230, 2702, 8903, 13982, 20616, 2882, 7265, 1285, 49597, 46654, 54260, 13159, 1470, 54260, 59461, 51220, 221895, 1211, 1470, 33809, 1211, 23050, 506, 51723, 7746, 364, 41595, 12483, 6, 23173, 33809, 46685, 6, 23173, 33809, 2050, 1285, 49597, 364, 141943, 4, 36324, 8947, 6319, 186466, 75230, 2702, 56170, 147713, 2882, 1470, 54260, 1211, 6, 29766, 46598, 4838, 68550, 4838, 83182, 16667, 4, 2200, 1470, 54260, 59461, 16175, 33809, 2882, 10676, 9424, 238144, 96986, 26612, 364, 75230, 148346, 2808, 75230, 6293, 230764, 7746, 230764, 7508, 6093, 162726, 54260, 26394, 2200, 6, 212484, 2882, 1470, 98071, 56417, 3069, 31467, 2442, 98071, 4484, 6, 23173, 137377, 3523, 98071, 16803, 23173, 75230, 2702, 23269, 506, 1982, 186797, 1285, 6, 29766, 13159, 1470, 54260, 59461, 10339, 33809, 1211, 221895, 1211, 4, 36324, 124724, 9424, 238144, 16932, 170479, 1470, 30682, 2808, 75230, 36909, 506, 54260, 148346, 12483, 1470, 75230, 7201, 26, 1211, 55242, 1644, 148346, 12483, 185527, 2205, 6, 212484, 2882, 1470, 30682, 4151, 113889, 4667, 6, 23173, 137377, 4, 4944, 10069, 4151, 6, 23173, 137377, 195054, 127827, 101608, 170479, 163139, 35189, 10676, 200795, 1211, 6, 138194, 7682, 125523, 4838, 16175, 39083, 1470 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 36909, 506, 75230, 148346, 64213, 5, 2205, 36324, 75230, 3496, 92904, 5, 95455, 41764, 98071, 1644, 364, 54260, 16803, 12, 6, 5, 2865, 26, 159696, 98833, 9934, 21106, 7611, 2909, 132, 36909, 23173, 3131, 80453, 54260, 2882, 5, 16, 112916, 26612, 55242, 4484, 109316, 14856, 54574, 5, 2808, 54260, 59461, 6, 226112, 98833, 10676, 9424, 238144, 96986, 230764, 6428, 12, 6, 148346, 7972, 26394, 2702, 4, 163139, 49597, 6, 73906, 18553, 26, 29659, 36324, 37016, 13845, 24621, 54574, 4, 2205, 7369, 71180, 2882, 12, 2451, 1054, 6093, 6319, 75230, 23741, 4, 119055, 6093, 6319, 75230, 159212, 4838, 55242, 4484, 109316, 14856, 54574, 705, 4484, 33809, 112907, 3523, 33809, 1470, 30682, 21422, 4838, 3523, 119718, 710, 16932, 2200, 23050, 506, 63532, 6, 68558, 6, 109995, 364, 183512, 2205, 112216, 2882, 29659, 22753, 1470, 98071, 56417, 2808, 54260, 1211, 2205, 6, 225975, 2882, 12, 2451, 1054, 98071, 46711, 6093, 705, 35596, 36909, 77188, 7369, 1470, 98071, 56417, 1470, 75230, 4667, 7265, 4838, 137, 7201, 40096, 2702, 2205, 155, 1285, 49597, 364, 183512, 2200, 6, 225975, 2882, 12, 2451, 4838, 29434, 54260, 6093, 711, 2932, 98071, 2882, 1470, 30682, 6, 54260, 114436, 44917, 200117, 23173, 39083, 4838, 10339, 59929, 2882, 2205, 1054, 29771, 13497, 5, 2451, 163139, 49597, 1751, 47351, 705, 2932, 21292, 7369, 6, 17645, 119132, 3523, 9221, 7682, 4838, 6, 148346, 23173, 2050, 2205, 6, 101328, 98833, 12, 2451, 4838, 10339, 26612, 8580, 1054, 26612, 112216, 2882, 15231, 5, 7511, 49597, 2882, 1470, 30682, 4231, 65482, 119055, 2442, 35189, 4838, 10339, 40096, 2702, 2205, 6, 225975, 1982, 12, 2451, 6, 75230, 7511, 22426, 98071, 4484, 705, 2932, 15907, 7369, 6, 17645, 119132, 98252, 6, 92605, 3111, 22426, 1470, 98071, 1211, 4151, 364, 183512, 6, 23173, 54260, 1211, 1470, 33809, 1211, 1054, 29771, 2932, 2702, 38, 2451, 4838, 136645, 49597, 22426, 7682, 5, 151461, 76216, 79981, 16, 14081, 50490, 119718, 23173, 710, 84577, 5, 2451, 36324, 37016, 13845, 14856, 54574, 5, 2451, 1054, 12, 46711, 6093, 2451, 29434, 63188, 5, 2451, 874, 26, 57277, 47332, 657, 218241, 3131, 12483, 4, 3373, 26, 88660, 47332, 564, 23173, 26, 1211, 10184, 6093, 5, 125868, 26612, 6319, 13845, 69801, 3069, 31467, 42572, 6093, 4484, 75230, 36909, 12483, 5, 2451, 6319, 13845, 148346, 109316, 14856, 4113, 711, 163137, 101080, 31467, 14081, 17190, 506, 212915, 5666, 54260, 194706, 6, 54260, 20315, 1211, 10069, 114955, 159696, 21295, 4484, 54260, 2882, 18225, 3069, 31467, 1470, 30682, 21422, 2200, 18225, 42572, 25207, 98833, 1470, 98071, 56417, 5, 2451, 1054, 98071, 46711, 6093, 705, 35596, 17645, 15907, 6, 89184, 2451, 4838, 29434, 63188, 5, 22680, 4113, 98833, 1470, 30682, 4231, 114436, 12, 2451, 292, 1054, 98071, 874, 99438, 705, 35596, 36909, 93497, 7369, 12, 2451, 4838, 17190, 39340, 4667, 5, 22680, 4113, 98833, 1470, 98071, 506, 2882, 4231, 114436, 12, 2451, 1054, 98071, 78104, 48253, 705, 35596, 36909, 77188, 7369, 12, 2451, 2205, 3947, 27, 609, 6, 23173, 54260, 1211, 4838, 112216, 15231, 2882, 5, 132, 30750, 148346, 25207, 149311, 6, 107581, 78651, 5, 46050, 1211, 194, 2451, 2808, 101839, 119718, 23173, 710, 84577, 5, 41643, 148346, 23173, 47351, 5, 51723, 23050 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 63532, 4838, 192544, 230764, 1285, 49597, 162726, 710, 149625, 2205, 18225, 6, 226112, 98833, 8947, 2200, 18225, 25391, 54260, 2882, 12, 2451, 564, 26, 85465, 200117, 3069, 31467, 18583, 4484, 75230, 55823, 1211, 4838, 6, 148346, 23173, 47351, 5, 2451, 1054, 98071, 16175, 54260, 6093, 705, 2451, 4838, 29434, 54260, 6093, 5, 2451, 1285, 49597, 6, 95494, 26, 1211, 705, 2451, 4838, 112216, 4484, 5, 92500, 7508, 6093, 9424, 238144, 16932, 4269, 98071, 2882, 10676, 192544, 4838, 6, 148346, 29060, 2702, 13845, 2205, 6235, 4852, 13159, 19532, 12483, 5, 132, 63188, 29060, 68438, 4, 17824, 142429, 5, 33960, 148346, 5, 16, 2451, 29771, 35189, 4151, 1285, 26612, 203749, 3523, 77188, 36324, 75230, 12, 2451, 25933, 33809, 506, 8580, 32899, 76216, 33716, 2882, 33809, 705, 2451, 6, 112452, 6319, 75230, 1644, 5, 2451, 7265, 25933, 203232, 364, 183512, 13845, 16803, 33809, 705, 2451, 7265, 1054, 39083, 5, 2451, 163139, 49597, 46711, 6093, 705, 2451, 55242, 13805, 29434, 63188, 5, 2451, 9934, 98071, 874, 99438, 32, 2451, 4838, 1751, 46545, 13845, 17190, 48775, 4667, 5, 2451, 364, 98071, 193042, 8580, 2451, 1285, 49597, 2442, 4838, 10339, 26612, 8580, 5, 132, 2882, 86733, 78683, 54260, 4, 21374, 4113, 119718, 5, 33960, 148346, 5, 16, 2648, 98071, 46440, 12483, 24012, 46685, 18825, 2451, 15276, 6, 104378, 8248, 4667, 207748, 4838, 75386, 18583, 75230, 1644, 33809, 23405, 3120, 7508, 6093, 48775, 13805, 65482, 7265, 19302, 54260, 13497, 16629, 8903, 114955, 5, 9747, 3069, 31467, 6, 238144, 1644, 12483, 84475, 3069, 31467, 18583, 3131, 22426, 15350, 12483, 26612, 121193, 35465, 23050, 506, 36258, 18225, 8947, 230764, 6428, 12, 162726, 54260, 26394, 2702, 2200, 564, 12483, 7508, 18415, 21295, 6428, 39248, 2865, 98071, 2882, 207748, 2808, 71512, 24464, 6428, 12, 1470, 75230, 2702, 8903, 25207, 4944, 244640, 35596, 4113, 46440, 12483, 5, 77671, 98055, 6093, 37016, 33809, 711, 8300, 238144, 114955, 48706, 109316, 1211, 7746, 6, 23173, 37016, 9213, 21338, 710, 4944, 244640, 6093, 230764, 6, 48904, 26, 183512, 6093, 6, 99766, 4, 98055, 18250, 8300, 17494, 5, 27, 2451, 5, 3584, 7961, 3523, 5666, 9213, 4231, 6, 5, 14779, 1285, 17806, 3523, 17806, 2451, 32, 6, 49008, 292, 64890, 292, 6235, 6, 75230, 119055, 10705, 97483, 53082, 6, 5, 73095, 292, 6, 5, 8300, 1470, 125523, 5, 2882, 9221, 1285, 16175, 13458, 5, 506, 24295, 705, 6, 105235, 21295, 23269, 6428, 13159, 364, 15907, 4231, 119718, 15435, 7508, 9221, 7544, 5, 3523, 4667, 5, 49209, 23292, 9721, 364, 29060, 119055, 6093, 2451, 6319, 33809, 75290, 37016, 710, 711, 35596, 112268, 7508, 6093, 3523, 119718, 15907, 50856, 12, 2451, 22444, 67882, 24621, 1470, 98071, 26, 6, 54260, 97634, 5, 50856, 82576, 12, 2451, 25933, 33809, 26, 4852, 98071, 6235, 240863, 12483, 32, 8300, 119718, 710, 16932, 12, 2451, 125523, 4838, 37603, 109316, 6, 148346, 98071, 2442, 5, 6093, 82576, 12, 2451, 25933, 33809, 26, 29060, 55242, 26, 2882, 43649, 109316, 1211, 705, 10918, 75230, 16932, 12, 2451, 1470, 33809, 13497, 6093, 15, 506, 98071, 13497, 6093, 16, 1285, 49597, 16175, 9221, 5, 6093, 3131, 16932, 12, 2451, 874, 98071, 2882, 48494, 203232, 26, 29060, 874, 30741, 26, 21292 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3069, 31467, 20315, 165354, 705, 96951, 54260, 16932, 12, 2451, 874, 98071, 2882, 4838, 6, 148346, 75230, 8903, 1211, 112216, 22426, 9221, 5, 6093, 3131, 16932, 12, 2451, 119055, 6093, 26, 29060, 2181, 1470, 75230, 34575, 98071, 20260, 12483, 8300, 238144, 16932, 5, 2451, 6, 101328, 4667, 3373, 5, 2882, 1285, 49597, 2442, 5, 119718, 23173, 36326, 194, 2451, 2808, 123641, 119718, 23173, 710, 84577, 2451, 21374, 39340, 37016, 710, 711, 2451, 6428, 5, 6, 57277, 117397, 1470, 98071, 26, 3523, 98071, 2702, 97634, 5, 2451, 6, 33353, 3056, 9934, 98071, 6235, 36909, 29771, 46244, 12483, 705, 2451, 6, 112452, 6, 170355, 25616, 29060, 2050, 5, 1211, 119055, 905, 23173, 710, 5, 33960, 1982, 5, 5950, 48904, 2050, 4484, 5, 21374, 905, 194, 2451, 25933, 203232, 364, 26612, 2050, 9934, 98071, 6235, 148346, 189623, 13497, 705, 2451, 4838, 78104, 16747, 109316, 6, 109600, 5, 2451, 7265, 48494, 203232, 37826, 9934, 98071, 26, 2702, 56170, 3131, 97634, 23741, 705, 2451, 7265, 4838, 175483, 109316, 112216, 22426, 98071, 2442, 5, 2451, 7508, 6093, 37826, 2181, 1470, 75230, 1982, 8903, 23822, 98071, 20260, 12483, 705, 2451, 6, 137218, 4667, 874, 98071, 2882, 7508, 98071, 2442, 5, 2451, 15, 2702, 39083, 26612, 13159, 29789, 905, 4, 119055, 23173, 2702, 5, 33960, 148346, 5, 16, 2702, 12483, 101080, 31467, 14081, 17190, 87637, 47351, 6, 148346, 54260, 1470, 33809, 54561, 4231, 33809, 20315, 1211, 24244, 2702, 16, 119718, 23173, 710, 84577, 5, 2451, 6319, 123329, 37016, 33809, 38, 2451, 7508, 6093, 16175, 174121, 3056, 3523, 98071, 29659, 11211, 5, 2451, 25933, 33809, 3056, 7369, 6235, 27720, 76216, 25207, 1211, 32, 2451, 6, 112452, 657, 33809, 148346, 1644, 98071, 2884, 194, 2451, 95455, 1054, 29060, 7369, 6, 148346, 25207, 183216, 32, 2451, 4838, 6, 109600, 5, 4838, 2451, 81179, 1054, 29060, 7369, 48494, 203232, 43649, 13845, 26, 1211, 32, 2451, 1470, 33809, 13497, 6093, 1285, 16175, 98071, 2442, 5, 2451, 7265, 119055, 448, 21776, 2050, 7369, 48494, 203232, 3069, 31467, 25207, 165354, 32, 2451, 874, 98071, 2882, 4838, 4269, 39083, 20315, 119132, 10339, 71577, 9221, 5, 2451, 7508, 6093, 364, 29060, 48494, 203232, 1470, 75230, 34575, 98071, 20260, 12483, 32, 2451, 6, 17645, 4667, 874, 98071, 2882, 7508, 98071, 2442, 5, 7201, 23173, 26394, 905, 4, 73095, 55546, 5, 33960, 148346, 16, 2451, 6319, 33809, 4484, 109316, 21374, 38, 2451, 7508, 98071, 67882, 24621, 6, 99611, 97634, 5, 47709, 33809, 6, 26, 905, 98071, 6235, 27720, 76216, 25207, 1211, 32, 2451, 6, 112452, 657, 33809, 148346, 79981, 5, 2451, 25933, 203232, 6, 26, 29060, 9934, 98071, 6, 199511, 32, 2451, 4838, 45521, 2702, 109316, 564, 98071, 2442, 5, 2451, 119055, 2808, 33809, 26, 29060, 9934, 98071, 26, 2702, 43649, 109316, 1211, 32, 2451, 1470, 33809, 13497, 6093, 1285, 49597, 16175, 98071, 2442, 5, 2451, 1470, 33809, 54561, 6, 26, 13159, 98071, 2442, 76961, 6, 57277, 57619, 12483, 6, 47351, 7508, 98071, 16175, 33809, 46244, 5, 132, 148346, 4113, 4944, 244640, 4113, 159696, 4, 657, 33809, 148346, 1644, 5, 3523, 33809, 148346, 5, 194, 1019, 111885, 26612, 6, 105515, 126968, 5, 218161, 9424, 98071, 506, 2882, 9934, 98071, 4667, 1470 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 2702, 230764, 29434, 26, 6093, 2648, 874, 98071, 2882, 26, 1211, 60106, 2702, 4838, 90848, 7201, 4, 23050, 506, 33716, 1470, 98071, 56417, 68558, 4838, 9424, 119718, 710, 101608, 6, 148346, 54260, 7508, 98071, 42572, 21292, 1470, 33809, 1211, 364, 54260, 148346, 2882, 9213, 506, 2702, 230764, 1470, 33809, 1211, 364, 186955, 1470, 30682, 6, 148346, 54260, 7508, 12, 6, 131445, 26612, 119718, 163139, 49597, 18225, 42572, 98071, 506, 33716, 4838, 16175, 40096, 126968, 5, 7369, 10184, 49597, 506, 33716, 1470, 98071, 56417, 36324, 75230, 6, 23173, 33809, 2050, 1470, 33809, 1211, 4151, 657, 98071, 141943, 98071, 6, 61397, 46050, 48788, 1470, 75230, 4667, 6428, 12, 364, 141943, 2205, 128629, 506, 657, 171428, 6, 23173, 75230, 6293, 230764, 4151, 137, 2882, 40096, 95564, 79238, 2702, 127684, 4, 6, 235210, 2442, 5, 364, 39083, 7611, 4, 10339, 71577, 9221, 1470, 5, 4231, 5, 34076, 5, 132, 1644, 142429, 1211, 194, 108504, 2808, 75230, 36909, 26, 1211, 6, 148346, 23173, 47351, 5, 8300, 238144, 6, 54260, 23405, 44779, 23050, 506, 51723, 20632, 54260, 30109, 7972, 107829, 8903, 67826, 59461, 5, 22639, 6093, 657, 176727, 4838, 25603, 215052, 54260, 1211, 874, 54260, 1211, 1470, 54260, 4667, 7508, 6093, 7369, 2648, 2205, 4151, 221895, 2442, 6, 105235, 21295, 9934, 98071, 4667, 187667, 4838, 117902, 2442, 81414, 49597, 2882, 2205, 137377, 59461, 905, 40920, 3373, 1470, 30682, 2205, 21422, 21295, 7746, 6, 127583, 220224, 1211, 43649, 54260, 1211, 1470, 98071, 1211, 10676, 43649, 54260, 1211, 4, 199145, 2200, 1644, 41595, 1470, 54260, 6293, 4151, 8009, 1470, 54260, 148346, 7369, 6, 186145, 159212, 95836, 1470, 98071, 46244, 220224, 6, 17645, 119132, 48706, 54260, 1211, 6, 23173, 54260, 1211, 4, 2702, 80453, 24295, 13497, 6235, 119718, 17800, 100863, 98071, 4667, 4151, 3373, 149311, 120202, 230764, 4838, 6235, 119718, 710, 36419, 3373, 186145, 39340, 5, 1285, 49597, 6, 90848, 4852, 98071, 8903, 34575, 4113, 107581, 6, 94741, 63020, 1470, 30682, 95455, 4231, 33809, 23405, 13845, 5, 199145, 37826, 6, 23173, 13845, 195054, 35596, 10676, 48706, 8580, 4, 23050, 506, 4113, 51723, 1470, 54260, 6293, 4151, 162726, 710, 26394, 4, 6428, 5, 364, 5, 6, 5, 2808, 75230, 7201, 26, 1211, 6, 148346, 23173, 68558, 123736, 6093, 6, 5, 88660, 2882, 95564, 109316, 77518, 5, 7369, 23269, 506, 63532, 7746, 4838, 16847, 874, 98071, 2882, 1285, 49597, 364, 141943, 6, 148346, 54260, 4231, 114436, 2702, 364, 21106, 4852, 2200, 4231, 114436, 18583, 23269, 506, 63532, 1470, 98071, 56417, 29257, 94592, 220224, 23269, 364, 98071, 13497, 12483, 7265, 1285, 49597, 364, 141943, 2205, 36324, 54260, 6, 94741, 63020, 7369, 1470, 30682, 6, 226112, 8903, 1211, 4838, 506, 98071, 1211, 2808, 33809, 1211, 3069, 31467, 2442, 7682, 1285, 4269, 48904, 26394, 6428, 186145, 39340, 42572, 24295, 26, 2050, 6, 99766, 119055, 10705, 4151, 48706, 8580, 1470, 98071, 4852, 6235, 7201, 21106, 12483, 6, 148346, 15533, 13342, 2050, 6, 120467, 4, 119055, 10705, 8947, 657, 176727, 4151, 9424, 119718, 710, 16932, 43649, 54260, 1211, 5, 77518, 2205, 119055, 59929, 4113, 364, 54260, 16803, 95455, 12, 6, 5, 88660, 21087, 21106, 148346, 2004, 2205, 3373, 29771, 4944, 244640, 40096, 20315, 9183, 4, 1054, 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 ]
[ 32206, 5, 25222, 148346, 5, 16, 6, 5, 38249, 12890, 1982, 4, 54260, 4113, 2004, 42572, 8580, 41764, 54260, 710, 98071, 2702, 12483, 12, 1650, 19, 85788, 11030, 2648, 54260, 157245, 6093, 119718, 710, 21295, 75230, 148346, 21106, 2648, 1470, 54260, 59461, 6, 186145, 23741, 3523, 5, 2882, 2205, 67826, 1211, 6, 23173, 54260, 1211, 2451, 94741, 1211, 6235, 506, 2882, 6, 109995, 186046, 23822, 4, 6428, 5, 364, 5, 220224, 1211, 48706, 8580, 6, 148346, 7972, 148346, 2882, 657, 5, 8903, 1211, 1470, 33809, 1211, 4151, 9424, 238144, 16932, 145813, 98071, 44478, 119055, 23173, 159212, 5, 132, 1644, 142429, 1211, 16, 1126, 16, 36909, 13159, 109316, 6, 148346, 98071, 2442, 5, 8300, 119718, 710, 114955, 4, 148932, 23050, 506, 33716, 9934, 98071, 4667, 4838, 68550, 874, 98071, 2882, 4151, 21776, 4944, 244640, 16932, 364, 183512, 163139, 148346, 48775, 35044, 29060, 6, 23173, 33809, 2050, 1285, 49597, 130154, 4113, 7508, 183512, 6, 148346, 2050, 18133, 42410, 4, 2205, 7265, 4151, 42572, 144295, 4231, 98071, 20260, 6093, 16747, 23050, 506, 51723, 220224, 7746, 6, 113889, 4944, 244640, 20315, 2050, 230764, 10676, 55242, 1644, 148346, 12483, 2190, 152656, 6, 23173, 33809, 2050, 22639, 6093, 10676, 35189, 1211, 6, 23173, 33809, 2702, 18133, 42410, 5, 36324, 75230, 36324, 8947, 6319, 33809, 63532, 1470, 75230, 2702, 42572, 33809, 1211, 6, 148346, 88945, 16667, 185182, 2442, 4838, 4269, 22426, 1644, 29771, 4944, 244640, 16932, 6319, 54260, 23173, 40096, 5, 84475, 220224, 23050, 46244, 12483, 7746, 6, 68558, 564, 54260, 7508, 98071, 364, 141943, 6235, 25616, 54260, 56169, 4, 2205, 117902, 2442, 16747, 9213, 148346, 6093, 1285, 49597, 221895, 15, 10069, 21776, 4944, 244640, 18415, 364, 183512, 364, 186955, 1285, 49597, 7508, 91275, 18415, 1470, 33809, 1211, 1285, 657, 98071, 20260, 141943, 364, 186955, 1285, 49597, 130154, 5, 194, 4151, 2865, 98071, 2882, 3056, 1054, 6093, 40096, 4838, 6235, 4852, 13159, 1470, 33809, 1211, 4838, 29434, 98071, 2882, 6319, 98071, 16747, 56169, 124724, 4838, 54260, 6293, 230764, 21776, 1982, 10367, 16747, 8903, 39293, 2050, 2205, 23050, 506, 47332, 1285, 6, 18250, 54260, 6, 23173, 33809, 2050, 6, 148346, 54260, 7508, 98071, 1644, 33104, 42355, 15622, 4852, 2882, 7746, 152, 1211, 1285, 6, 23173, 64071, 90848, 8903, 1211, 1470, 33809, 1211, 6428, 12, 9424, 119718, 710, 22753, 183216, 6, 148346, 14236, 26, 1211, 710, 5, 15231, 5, 2932, 4944, 5, 12, 7201, 8300, 2702, 34709, 8300, 6, 109600, 5, 69909, 16495, 516, 568, 5, 10918, 16175, 54260, 73095, 10339, 8300, 4, 59461, 1054, 34709, 16175, 64213, 80453, 120467, 6, 112452, 34654, 1211, 1470, 4112, 2882, 1157, 26, 78104, 48775, 6, 138194, 292, 10184, 9934, 4838, 6, 29766, 55823, 710, 109316, 6, 148346, 9221, 4, 16580, 18415, 1644, 21422, 7508, 98071, 6, 29631, 1644, 29771, 26, 3523, 34533, 6, 23173, 8580, 6, 112452, 116486, 80885, 1211, 55242, 1644, 59461, 4, 5666, 29766, 6, 48904, 26, 29771, 7916, 49597, 138194, 5, 94741, 1211, 6, 212484, 2882, 18225, 1470, 30682, 4838, 90848, 7201, 2200, 6, 148346, 2442, 3523, 5, 506, 15907, 8248, 4667, 6, 68558, 6, 148346, 54260, 1285, 49597, 11211, 16747, 874, 98071, 2050, 119132, 42572, 8580, 1285, 57159, 2200, 4151 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 128750, 54260, 8903, 148346, 12, 57619, 59461, 55242, 56169, 9934, 98071, 2648, 1470, 75230, 36909, 8580, 137, 506, 141943, 2932, 4, 155, 2205, 1285, 49597, 6, 150349, 54260, 6235, 506, 2882, 3069, 31467, 125523, 6, 59929, 39083, 6, 54260, 2200, 132025, 506, 75230, 148346, 4, 36324, 75230, 68248, 5, 132, 36909, 23173, 3131, 80453, 54260, 2050, 1470, 98071, 1211, 41764, 54260, 1644, 35465, 5, 5, 16, 21631, 33809, 5927, 36909, 54260, 195054, 5, 10069, 46685, 6, 186145, 23741, 8248, 4667, 123736, 23741, 4, 4838, 905, 1285, 49597, 1751, 119718, 21106, 148346, 12483, 147582, 506, 12483, 3069, 31467, 235210, 12483, 2205, 4838, 93704, 4113, 2205, 6, 98594, 125830, 53414, 5, 2648, 98071, 7508, 83182, 34076, 75230, 1982, 12890, 4, 36324, 4151, 39083, 2882, 107776, 564, 54260, 1285, 49597, 42572, 54260, 151227, 207748, 4838, 364, 4775, 159696, 1211, 66334, 67882, 4944, 244640, 2702, 7746, 215031, 6, 150349, 87442, 89184, 4, 58571, 12483, 6428, 12, 114955, 4838, 506, 98071, 1211, 132025, 13342, 1644, 75230, 152656, 2702, 48904, 26394, 1211, 2200, 145813, 12415, 183216, 2205, 9934, 98071, 183216, 6, 23173, 75230, 6293, 21422, 1285, 49597, 10339, 54260, 195054, 12, 148346, 98229, 178107, 48253, 8300, 5, 568, 5, 5, 5814, 42, 5, 31, 5, 2451, 4, 195054, 10339, 54260, 1054, 12, 87637, 2451, 3149, 6, 4, 48253, 1982, 6, 178107, 9356, 2865, 88660, 4667, 17190, 17190, 21374, 29060, 710, 1470, 20033, 6, 154289, 29771, 15907, 15231, 153222, 4, 21631, 33809, 5927, 7916, 195054, 133826, 101080, 31467, 14081, 17190, 506, 212915, 148346, 54260, 9213, 25222, 4231, 33809, 20315, 1211, 2932, 98071, 155, 20033, 4838, 67826, 49597, 4484, 109316, 17190, 78683, 4667, 2648, 98071, 6, 148346, 2442, 183512, 5, 132, 36326, 148346, 25207, 3131, 98071, 1211, 4, 3496, 244640, 13845, 2050, 5, 30109, 54260, 4852, 194, 121387, 2932, 90848, 148346, 6093, 10339, 75230, 6093, 1470, 33809, 1211, 1285, 49597, 59461, 41764, 75230, 6093, 5, 13159, 145813, 98071, 1644, 12483, 10184, 49597, 6093, 4231, 33809, 5666, 5666, 44779, 5, 2205, 1285, 49597, 6, 222907, 6235, 506, 2882, 3069, 31467, 36324, 75230, 12, 18225, 23050, 506, 63532, 36909, 98071, 6093, 364, 21106, 148346, 4113, 1751, 39083, 12483, 10339, 33809, 1211, 6, 159696, 21295, 65482, 3523, 98071, 2050, 2205, 1470, 54260, 59461, 16175, 33809, 2882, 220224, 4838, 119055, 29766, 6293, 2205, 4151, 506, 75230, 4667, 5, 36324, 76961, 42572, 98071, 6093, 42572, 21106, 12483, 123736, 36909, 12483, 4, 874, 98071, 2882, 4151, 364, 75230, 44478, 220224, 2882, 6, 23173, 75230, 6293, 4, 1470, 98071, 4852, 6, 145146, 4, 2648, 5, 364, 5, 6, 145146, 119055, 77188, 4151, 4, 199145, 37826, 6235, 119718, 29766, 55823, 1211, 5, 7201, 21106, 12483, 29434, 710, 123736, 55823, 1211, 4, 1470, 98071, 4852, 1285, 49597, 59461, 41764, 75230, 6093, 74, 26394, 54260, 2451, 2702, 43178, 50273, 4113, 15, 12415, 92867, 16932, 16, 84475, 6, 88660, 4852, 92605, 74, 2808, 54260, 16667, 2451, 2932, 90848, 148346, 6093, 41764, 75230, 6093, 5, 113889, 46104, 46598, 119055, 23173, 159212, 4838, 9424, 238144, 16932, 2205, 6, 113889, 4944, 244640, 20315, 2050, 29434, 710, 16932, 2200, 73784, 3496, 47890, 4151, 36909, 63188, 16932, 5, 159696, 1211, 6, 148346, 54260, 1470, 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 ]
[ 119132, 42572, 186955, 95455, 55242, 1644, 148346, 4113, 199145, 6, 148346, 710, 4838, 9424, 119718, 710, 96986, 4, 1751, 98071, 16803, 18225, 4852, 98071, 4667, 123736, 7201, 6428, 5, 364, 5, 6, 148346, 88945, 6235, 506, 12483, 1470, 98071, 148346, 6093, 5, 119055, 12483, 8947, 10339, 186955, 6, 148346, 54260, 1470, 54260, 23269, 2882, 10339, 33809, 1211, 1285, 9424, 238144, 2648, 120467, 1470, 54260, 2932, 65482, 4, 199145, 4838, 29434, 98071, 16932, 1470, 98071, 4852, 6235, 119718, 29766, 12483, 15, 145146, 4, 4269, 90848, 148346, 6093, 4, 41764, 75230, 6093, 1470, 5, 6428, 5, 4269, 5, 16, 3131, 98071, 16803, 7369, 7746, 120202, 874, 98071, 2882, 26, 1211, 29434, 98071, 96986, 4, 6, 148346, 54260, 20315, 6235, 506, 12483, 6428, 47351, 4, 364, 54260, 16803, 2181, 4, 9213, 148346, 6093, 5, 1470, 33809, 1211, 165592, 148932, 37826, 1751, 75230, 1211, 220224, 1211, 6, 113889, 51723, 4, 364, 75230, 148346, 2882, 9934, 98071, 4667, 6, 68558, 12, 364, 186955, 4151, 6, 88660, 4852, 92605, 4838, 6, 148346, 174121, 16580, 16, 1470, 98071, 1211, 4151, 364, 183512, 1470, 33809, 1211, 4151, 6, 145146, 364, 54260, 40920, 6235, 148346, 12483, 19302, 4113, 22426, 21776, 2050, 4269, 90848, 148346, 12483, 41764, 75230, 6093, 2808, 33809, 1211, 10676, 1285, 49597, 23269, 2702, 41764, 75230, 6093, 5, 2451, 2442, 6093, 6, 145146, 6, 148346, 26612, 55823, 506, 21295, 12, 137, 20315, 2050, 4269, 90848, 148346, 12483, 41764, 75230, 6093, 170479, 16803, 33809, 8903, 148346, 12483, 55242, 13805, 4269, 90848, 148346, 4113, 19302, 46598, 2205, 10184, 49597, 6093, 1285, 23269, 19302, 4113, 22426, 1470, 33809, 1211, 6428, 13159, 1285, 49597, 119132, 10339, 75230, 6093, 170479, 16803, 33809, 8903, 148346, 12483, 9424, 238144, 4269, 90848, 148346, 4113, 19302, 4113, 22426, 1470, 33809, 1211, 55242, 13805, 1285, 49597, 23269, 19302, 4113, 22426, 5, 1470, 33809, 1211, 4151, 6, 88660, 4852, 92605, 6, 111684, 33716, 1470, 75230, 2702, 20315, 2050, 6, 148346, 26612, 36909, 20616, 1644, 5, 132, 1644, 142429, 1211, 194, 710, 16, 10339, 75230, 1644, 98071, 3131, 12, 1777, 1663, 117942, 31249, 13456, 108968, 5, 2702, 7213, 1644, 12483, 16742, 9213, 2702, 6, 54260, 23405, 44779, 6, 33809, 1211, 6, 238144, 7508, 54260, 506, 4113, 4, 3523, 71512, 6, 84577, 39340, 8903, 1211, 35189, 221895, 2442, 120202, 61397, 33809, 20911, 230764, 4838, 2932, 5666, 119718, 98071, 36419, 6, 238144, 18415, 1751, 186145, 39340, 4, 1470, 33809, 1211, 18225, 364, 186955, 7746, 36909, 119273, 6, 148346, 54260, 1285, 49597, 364, 141943, 1470, 33809, 1211, 6, 148346, 54260, 148932, 7508, 54260, 506, 43649, 20616, 2882, 6, 48904, 26, 13845, 125830, 159696, 2442, 5, 2932, 98071, 2882, 1470, 54260, 1211, 895, 2882, 82576, 4838, 6235, 25391, 54260, 73784, 9424, 238144, 96986, 12, 2451, 14764, 20109, 38, 35596, 59919, 2882, 4151, 9424, 238144, 16932, 5, 2451, 1751, 98071, 4484, 1285, 49597, 32054, 75230, 84475, 12, 1751, 98071, 4484, 34654, 1211, 42572, 39083, 4484, 5, 16, 6093, 3131, 16932, 12, 2451, 7508, 12, 32054, 75230, 1470, 98071, 4852, 18583, 148346, 2442, 35596, 5, 8300, 238144, 16932, 12, 2451, 1054, 6093, 4838, 79981, 18583, 148346, 2442, 35596, 5, 6093, 3131, 16932, 12, 2451, 20109, 2451, 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 ]
[ 7682, 38, 3131, 98071, 20911, 4151, 9424, 238144, 16932, 6, 23173, 75230, 2702, 1470, 54260, 119132, 15, 2702, 26, 62763, 19302, 75230, 148346, 2882, 18225, 1470, 75230, 2702, 4838, 42572, 7972, 20260, 12483, 1470, 33809, 1211, 4838, 43649, 23173, 165354, 16, 7369, 170479, 9213, 148346, 150839, 92605, 12483, 1285, 49597, 21776, 506, 5, 5332, 75230, 22426, 2882, 4231, 114436, 4838, 506, 98071, 1211, 2200, 3131, 80453, 98071, 23405, 2882, 3069, 31467, 874, 98071, 2882, 6, 48904, 26, 2808, 98071, 2865, 109636, 2882, 3069, 31467, 9424, 238144, 2205, 4151, 7508, 54260, 506, 9934, 98071, 4667, 3069, 235210, 12483, 506, 186955, 186797, 4113, 185182, 2442, 1470, 33809, 1211, 36324, 7369, 7508, 34533, 1470, 98071, 148346, 6093, 4, 19302, 75230, 148346, 2882, 7369, 9934, 98071, 4667, 1470, 75230, 2702, 1470, 54260, 119132, 42572, 33809, 1211, 1285, 9424, 238144, 2808, 33809, 1211, 6235, 506, 36258, 1470, 98071, 506, 2702, 874, 98071, 2882, 3069, 31467, 220224, 1211, 7508, 54260, 506, 5, 1470, 98071, 148346, 150839, 92605, 12483, 6, 94741, 63020, 18225, 133190, 7265, 26, 1211, 6093, 105235, 1211, 1751, 80453, 33809, 23405, 1470, 33809, 1211, 3523, 98071, 29659, 6, 71804, 23405, 6, 121865, 12483, 5, 6, 75230, 98071, 148346, 26612, 15435, 123736, 148346, 6093, 7369, 7508, 54260, 16803, 7243, 2808, 98071, 148346, 6093, 4, 6, 148346, 1644, 54260, 148346, 2882, 7369, 6, 148346, 54260, 4151, 7508, 54260, 506, 1470, 33809, 1211, 4151, 895, 2882, 16803, 7508, 15, 6093, 3131, 16932, 16, 7508, 33809, 23741, 6, 238144, 104238, 2808, 75230, 2702, 5, 95455, 6235, 506, 2882, 3069, 31467, 36324, 75230, 6, 71804, 23405, 6, 148346, 98071, 4852, 230764, 1470, 54260, 1211, 22753, 2882, 6, 148346, 7972, 148346, 2882, 6, 148346, 1644, 75230, 4852, 4151, 895, 2882, 82576, 874, 98071, 2882, 2205, 137, 148346, 26612, 4944, 244640, 29766, 15, 165592, 75230, 364, 54260, 2702, 12483, 1285, 49597, 4231, 33809, 23405, 44779, 194, 3069, 31467, 2050, 158628, 364, 186955, 7746, 35189, 895, 2882, 82576, 42572, 119273, 6, 148346, 54260, 4151, 364, 48904, 2442, 874, 98071, 2882, 26, 1211, 137, 148346, 26612, 4944, 29766, 155, 2200, 7369, 22444, 16803, 1470, 75230, 2702, 4, 2808, 33809, 1211, 220224, 1211, 6235, 2932, 59461, 7213, 20911, 3069, 31467, 1470, 98071, 56417, 4, 1470, 33809, 1211, 36324, 18225, 364, 129071, 1470, 98071, 506, 2702, 1470, 98071, 148346, 6093, 4, 23050, 506, 63532, 51723, 1470, 98071, 56417, 3069, 31467, 21776, 2050, 141879, 1211, 137, 148346, 26612, 4944, 29766, 155, 1470, 33809, 1211, 7369, 6, 21106, 54260, 1211, 6235, 506, 2882, 6428, 33809, 81455, 4838, 6, 148346, 2442, 183512, 5, 21106, 4113, 48706, 109316, 1211, 7746, 1470, 75230, 2702, 1470, 5, 9424, 119718, 710, 6, 65606, 12483, 5, 6, 113889, 35596, 22639, 4113, 6, 48904, 22426, 39340, 8903, 1211, 4151, 48904, 20315, 6093, 2205, 4151, 895, 2882, 82576, 657, 75230, 159212, 4838, 37729, 6, 51220, 1054, 76632, 49597, 2932, 80885, 1211, 2205, 874, 39083, 364, 98071, 1211, 95766, 6, 138194, 7682, 15, 75322, 39083, 105884, 2882, 18225, 9934, 98071, 4667, 40026, 506, 6093, 1470, 75230, 2050, 230764, 14856, 46244, 6093, 874, 39083, 16, 2200, 874, 26, 2808, 98071, 74004, 30682, 33469, 244640, 148346, 2648, 874, 98071, 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 ]
[ 19302, 46598, 42572, 8580, 112216, 2702, 13159, 4, 6235, 101296, 4944, 244640, 2882, 8300, 10339, 39083, 4484, 13159, 15, 152440, 109636, 1211, 41764, 33809, 1211, 6, 113889, 4852, 5, 2882, 98071, 4944, 244640, 44779, 247, 117902, 28726, 2050, 37016, 12483, 10339, 33809, 1211, 1285, 6319, 71577, 29060, 13159, 1470, 5, 6428, 5, 4269, 5, 148346, 36326, 609, 26, 1211, 657, 75230, 36909, 12483, 6, 205416, 18225, 1470, 98071, 56417, 3523, 98071, 29659, 18583, 506, 21106, 96986, 5, 132, 2442, 23173, 36326, 5, 16, 108035, 119718, 23173, 710, 84577, 5, 2808, 98071, 1211, 21374, 49268, 84475, 1470, 98071, 1211, 6, 112353, 5, 13159, 43649, 109316, 1211, 7746, 5950, 21292, 6, 54260, 23405, 44779, 1470, 98071, 1211, 9424, 119718, 710, 7508, 9221, 12483, 22639, 4113, 6, 84577, 39340, 8903, 1211, 2442, 6093, 221895, 2442, 4, 1054, 54260, 2882, 120202, 59461, 33809, 20911, 4, 2205, 6, 123073, 7508, 54260, 506, 364, 186955, 9934, 98071, 4667, 42572, 119273, 6, 148346, 710, 1285, 49597, 364, 141943, 92500, 6, 148346, 448, 193042, 51723, 6, 37016, 3120, 148932, 220224, 2882, 7508, 54260, 506, 43649, 20616, 2882, 4838, 21374, 49268, 5, 15231, 2882, 2205, 21374, 49268, 6, 23173, 32097, 1470, 75230, 2702, 6, 68380, 9424, 238144, 96986, 12, 2451, 21374, 49268, 4, 21374, 46244, 4, 6255, 1751, 98071, 4484, 1285, 49597, 2442, 364, 15350, 38, 95766, 7369, 7213, 20911, 6, 23173, 75230, 2702, 1470, 54260, 119132, 1470, 98071, 148346, 6093, 72631, 54260, 2702, 12483, 1285, 49597, 7508, 54260, 4113, 5, 6, 148346, 710, 54745, 2882, 163139, 49597, 4113, 220440, 96986, 7369, 7508, 34533, 9213, 148346, 6093, 4, 36324, 75230, 42572, 98071, 1644, 23050, 506, 36258, 7369, 3069, 31467, 3120, 4151, 21776, 506, 6, 23173, 75230, 2702, 3069, 31467, 109995, 21374, 49268, 15, 10069, 9424, 29771, 54574, 21776, 1982, 35596, 9934, 98071, 4667, 43649, 186797, 132025, 8903, 506, 75230, 148346, 12483, 42572, 33809, 1211, 4231, 65482, 2882, 6, 75230, 2882, 4, 119055, 14004, 13159, 43649, 20616, 2882, 4151, 21374, 49268, 4, 199145, 1751, 98071, 20911, 6, 23173, 75230, 2702, 194, 36324, 7369, 7508, 34533, 1470, 98071, 148346, 6093, 6, 148346, 710, 21776, 2050, 1644, 21660, 96986, 4, 23050, 506, 63532, 7369, 21422, 76961, 1470, 75230, 101608, 6428, 13159, 141879, 1211, 5, 874, 98071, 2882, 1470, 98071, 56417, 364, 186955, 9934, 98071, 4667, 6428, 47351, 35189, 9424, 238144, 16932, 21374, 49268, 6, 148346, 54260, 1285, 49597, 364, 141943, 2205, 36324, 6, 5, 12483, 7508, 34533, 1470, 98071, 506, 2702, 1470, 75230, 4667, 1470, 98071, 148346, 6093, 4, 37826, 6093, 18583, 150349, 710, 21295, 1285, 49597, 6, 112353, 5, 165592, 18225, 7213, 20911, 1470, 54260, 119132, 6, 23173, 75230, 2702, 1470, 33809, 1211, 7369, 42542, 3523, 98071, 29659, 1470, 98071, 148346, 6093, 2442, 54260, 2702, 12483, 4, 6, 148346, 7972, 148346, 16932, 6235, 36909, 26612, 183216, 6, 148346, 54260, 6, 17645, 119132, 21374, 49268, 2200, 4231, 114436, 7508, 33809, 159212, 1470, 75230, 2702, 1470, 33809, 1211, 1751, 98071, 20911, 6, 23173, 75230, 2702, 1470, 54260, 119132, 1470, 98071, 148346, 6093, 10918, 121865, 12483, 220224, 1211, 6235, 2932, 59461, 2702, 6, 170645, 5, 132, 153222, 24152, 59929, 5, 4, 6319, 98071, 4113, 119718, 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 ]
[ 104, 5, 18, 5, 109241, 36909, 29060, 1470, 33809, 1211, 6, 87311, 61397, 5, 51723, 67882, 40920, 24464, 4838, 4231, 4944, 13845, 4838, 137, 22426, 21106, 17645, 155, 15, 26612, 42572, 119273, 3069, 31467, 5666, 75230, 36909, 8903, 119718, 98071, 39340, 1644, 16803, 98071, 4944, 244640, 13845, 874, 98071, 2882, 4269, 90848, 148346, 12483, 4838, 144532, 8903, 13982, 20616, 96986, 1470, 33809, 1211, 6, 23173, 75230, 111137, 8300, 75230, 8903, 119132, 136645, 49597, 22426, 6, 156325, 1470, 75230, 148346, 12483, 16, 2205, 7508, 6093, 6, 23173, 75230, 2702, 8903, 240863, 114436, 3120, 6, 26394, 54574, 12483, 48706, 20616, 2882, 6, 68558, 4838, 220224, 2882, 1470, 33809, 1211, 6, 205416, 7511, 49597, 16803, 21374, 1644, 12483, 163139, 76961, 6, 148346, 26612, 506, 21106, 96986, 1285, 137, 22426, 21106, 39340, 5, 119055, 12483, 220224, 6, 225975, 12483, 12, 1751, 75230, 1211, 2004, 6235, 506, 16932, 9934, 98071, 8248, 31467, 4944, 12483, 1470, 33809, 1211, 220224, 160751, 12483, 1470, 30682, 9213, 1982, 16803, 448, 125523, 2205, 36324, 7369, 6319, 33809, 63532, 3069, 84475, 46464, 40920, 44917, 76216, 13497, 10339, 33809, 1211, 10676, 6, 99766, 119055, 10705, 7508, 12, 137, 204403, 1644, 39340, 657, 98071, 98833, 6, 148346, 26612, 506, 21106, 96986, 4, 22518, 54260, 12483, 76961, 12, 2451, 42572, 29060, 4, 42572, 29060, 5, 2808, 33809, 1211, 1470, 75230, 148346, 7369, 8248, 40920, 230764, 215031, 6, 99766, 4, 1054, 120467, 68313, 125523, 6, 36609, 42572, 33809, 12130, 6, 148346, 26612, 506, 186955, 65482, 2050, 4, 6, 225975, 12483, 220224, 12, 2451, 6, 87311, 61397, 4, 6, 87311, 59461, 5, 159696, 1211, 7369, 6235, 36909, 41595, 1285, 137, 7201, 21106, 39340, 2004, 241662, 9424, 13845, 75230, 55823, 1211, 9934, 98071, 4667, 76961, 1470, 33809, 1211, 119055, 29789, 51723, 7369, 6, 148346, 26612, 238144, 4852, 2882, 6, 148346, 21106, 2648, 9213, 2702, 26, 1211, 6, 64260, 21422, 6235, 148346, 12483, 187667, 1470, 98071, 46244, 4838, 19302, 71577, 4, 119055, 77188, 4231, 114436, 230764, 220224, 1211, 6, 99766, 4, 2205, 1285, 49597, 6, 222907, 6319, 33809, 63532, 6, 238144, 75578, 160238, 36324, 75230, 1054, 12, 40026, 49597, 506, 6093, 5, 132, 119718, 23173, 36419, 194, 116354, 4484, 186955, 1470, 33809, 1211, 119055, 23173, 2702, 5, 51723, 23050, 506, 63849, 7746, 1470, 75230, 2702, 4, 2200, 4151, 1470, 75230, 2702, 23269, 26394, 54574, 87309, 23050, 506, 33716, 4838, 78104, 4944, 244640, 13845, 1470, 33809, 1211, 148346, 26612, 506, 186955, 8947, 5, 6235, 506, 12483, 76961, 8248, 4944, 12483, 5, 159696, 1211, 18225, 8248, 31467, 4944, 244640, 2882, 230764, 6, 48904, 26, 99766, 4, 199145, 1470, 98071, 4852, 7508, 54260, 2882, 24464, 10676, 6, 148346, 26612, 506, 186955, 65482, 2050, 2702, 98071, 4944, 244640, 13845, 4, 6, 225975, 2882, 7508, 6093, 199145, 37826, 6, 148346, 26612, 506, 21106, 96986, 12, 2451, 3373, 26, 2808, 98071, 4852, 6319, 186955, 5, 115468, 186565, 14081, 17190, 506, 212915, 5666, 54260, 1470, 33809, 54561, 6, 63188, 12483, 10069, 114955, 159696, 1644, 36419, 12483, 18225, 8248, 47332, 230764, 4838, 7511, 99766, 4, 199145, 1470, 98071, 4852, 23050, 506, 13497, 6093, 73784, 6, 148346, 43590, 186955, 65482, 2050, 54260, 7511, 1644, 4, 6, 225975, 2882, 7369 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12, 2451, 3373, 26, 95766, 1751, 75230, 1211, 657, 75230, 5, 165592, 18225, 6319, 54260, 2882, 21422, 125523, 23050, 506, 13497, 6093, 4, 6, 101328, 98833, 7369, 12, 2451, 6, 2050, 26, 68313, 1751, 75230, 1211, 6, 121865, 5, 165592, 18225, 107776, 3069, 31467, 220273, 44917, 76216, 13497, 4, 1751, 75230, 1211, 6, 148346, 54260, 21776, 2050, 6, 99766, 4, 71180, 2882, 7369, 5, 2451, 6, 2050, 26, 148346, 2442, 35596, 4, 3373, 26, 88660, 47332, 38, 92500, 4151, 199145, 6235, 36909, 41595, 2181, 4, 4151, 6235, 506, 2882, 2181, 6, 148346, 26612, 506, 21106, 96986, 5, 132, 1644, 142429, 4852, 5, 16, 125435, 95766, 6, 148346, 26612, 506, 13845, 18415, 7511, 49597, 3131, 5, 51723, 23050, 506, 21295, 9934, 98071, 4667, 1470, 75230, 2702, 4, 4151, 1054, 120467, 42572, 186955, 6, 23173, 75230, 2702, 4, 48706, 22426, 1644, 5666, 418, 9934, 98071, 4667, 4838, 159696, 4484, 2865, 98071, 2882, 26, 1211, 41764, 12130, 21422, 4838, 1054, 48904, 2442, 4, 199145, 1470, 98071, 4852, 6, 148346, 59929, 2882, 98071, 2882, 2882, 18583, 4838, 58573, 4113, 77518, 2205, 22639, 150839, 186955, 1470, 98071, 56417, 3069, 31467, 1285, 1470, 75230, 8903, 1211, 5, 46711, 21295, 39083, 364, 186955, 7369, 7746, 6, 186955, 1211, 3069, 31467, 1285, 49597, 1470, 75230, 8903, 1211, 5, 6, 148346, 14236, 25207, 2050, 8248, 31467, 4944, 244640, 12483, 9934, 98071, 4667, 76961, 7369, 16932, 4, 119055, 14004, 7746, 21422, 6, 148346, 26612, 506, 21106, 96986, 5, 874, 98071, 2882, 18583, 105235, 1644, 18415, 1470, 75230, 8903, 1211, 71180, 2882, 7369, 1470, 75230, 2702, 12, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 1751, 26, 2808, 98071, 4852, 1751, 75230, 1211, 22639, 36419, 5, 35596, 59919, 2882, 18225, 1470, 98071, 56417, 12, 2451, 125523, 3523, 98071, 29659, 9424, 54260, 2882, 5, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 3373, 26, 2808, 98071, 4852, 1751, 75230, 1211, 3069, 54260, 4113, 5, 2451, 125523, 7243, 21422, 2882, 5, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 3373, 26, 2808, 98071, 4852, 1751, 75230, 1211, 29434, 54260, 5, 2451, 125523, 3523, 98071, 16803, 42493, 5, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 3373, 26, 2808, 98071, 4852, 1751, 75230, 1211, 10184, 49597, 123073, 5, 2451, 125523, 3523, 98071, 29659, 21422, 2882, 5, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 3373, 26, 2808, 98071, 4852, 1751, 75230, 1211, 10184, 49597, 23269, 25603, 5, 2451, 125523, 3523, 98071, 29659, 21422, 2882, 5, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 3373, 26, 2808, 98071, 4852, 1751, 75230, 1211, 55242, 13805, 4113, 5, 2451, 125523, 3523, 98071, 29659, 9424, 54260, 2882, 5, 2451, 16175, 174121, 1644, 24295, 4, 16175, 40096, 109316, 4, 3373, 26, 2808, 98071, 4852, 1751, 75230, 1211, 22753, 148346, 65482, 5, 2451, 125523, 3523, 98071, 29659, 9424, 54260, 2882, 5, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 3373, 26, 2808, 98071, 4852, 1751, 75230, 1211, 4838, 4944, 18415, 5, 2451, 125523, 3523, 29659, 21422, 2882, 5, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 3373, 26, 68313, 1751, 75230, 1211, 3523, 71512 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2451, 125523, 7243, 21422, 2882, 5, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 3373, 26, 2808, 98071, 4852, 1751, 75230, 1211, 6, 26394, 42023, 5, 2451, 6235, 506, 76961, 6319, 98071, 50856, 6093, 44779, 55242, 42023, 5, 20315, 87311, 21295, 151614, 148346, 12483, 7746, 76961, 1751, 75230, 1211, 6, 148346, 26612, 506, 21106, 96986, 2205, 7369, 6, 212484, 2882, 9934, 98071, 4667, 4838, 159696, 4484, 30473, 8248, 31467, 4944, 244640, 12483, 5, 6, 159696, 51723, 7369, 6235, 36909, 98071, 13497, 84475, 6, 159696, 51723, 7369, 4151, 39293, 506, 2882, 1470, 33809, 1211, 7369, 4269, 98071, 2882, 1470, 98071, 56417, 21733, 71577, 84475, 4838, 7508, 98071, 46244, 6, 68558, 11265, 6093, 4231, 114436, 6, 148346, 26612, 506, 15533, 2702, 3069, 31467, 3069, 1644, 75230, 36909, 12483, 3069, 31467, 7508, 6093, 58573, 4113, 4, 874, 33809, 4852, 4231, 114436, 7746, 4838, 905, 37016, 105235, 1644, 12483, 6, 148346, 54260, 4151, 119055, 183512, 230764, 220224, 1211, 6, 99766, 1470, 33809, 1211, 95455, 3131, 22426, 15350, 364, 75230, 148346, 2882, 7746, 163139, 49597, 35189, 6, 68558, 5, 132, 119718, 23173, 36326, 5, 16, 77518, 657, 40096, 54260, 207591, 12, 333, 1883, 101655, 2808, 98071, 1211, 6, 100863, 98071, 5666, 26394, 44779, 5, 51723, 9424, 20616, 21295, 9934, 98071, 4667, 1470, 75230, 2702, 1470, 33809, 1211, 4151, 184639, 84475, 7508, 6093, 141879, 2442, 4, 199145, 36909, 186955, 6, 23173, 75230, 2702, 4, 6235, 506, 2882, 6, 148346, 54260, 57619, 12483, 4, 6428, 5, 364, 5, 7369, 6, 105235, 21295, 9934, 98071, 4667, 874, 98071, 2882, 26, 1211, 41764, 12130, 3069, 31467, 4838, 119055, 183512, 2451, 2648, 120467, 6, 99766, 6, 148346, 54260, 4151, 119055, 183512, 119055, 77188, 1470, 75230, 4667, 6, 148346, 48904, 33809, 56169, 56170, 4838, 58573, 4113, 2451, 95766, 7369, 364, 186955, 4852, 15435, 874, 98071, 2882, 7508, 98071, 364, 141943, 21422, 6428, 12, 1470, 75230, 65442, 1211, 5, 148346, 14236, 10676, 6, 148346, 26612, 506, 21106, 96986, 9934, 98071, 4667, 76961, 2200, 7508, 6093, 141879, 2442, 4269, 98071, 2882, 4838, 6235, 49268, 710, 12, 2451, 1751, 75230, 1211, 38, 8903, 506, 2882, 7369, 220224, 8248, 31467, 4944, 244640, 12483, 2205, 6, 159696, 51723, 7369, 6235, 7916, 49597, 13497, 4, 22444, 159212, 7369, 1470, 98071, 56417, 6, 68558, 6, 148346, 448, 113889, 51723, 15, 107829, 230764, 42355, 6, 99766, 170479, 6, 207591, 2702, 6, 23173, 75230, 35044, 75230, 36909, 12483, 6, 112452, 221895, 2442, 16, 2200, 22753, 148346, 54260, 20315, 657, 75230, 36909, 12483, 3069, 31467, 4151, 32887, 36419, 5, 1470, 75230, 1982, 4151, 199145, 1470, 98071, 4852, 6235, 14303, 64213, 6, 148346, 26612, 506, 21106, 96986, 6, 148346, 26612, 238144, 4852, 2882, 94626, 506, 6093, 3069, 31467, 8300, 33809, 1644, 75230, 36909, 12483, 3069, 31467, 4151, 14856, 36419, 2200, 3069, 31467, 6235, 148346, 12483, 1470, 98071, 1211, 4151, 119055, 183512, 6, 23173, 54260, 1211, 21733, 4113, 22426, 15, 109636, 48253, 16, 1470, 33809, 1211, 6, 225975, 12483, 4151, 148346, 710, 364, 75230, 4667, 12, 22639, 2702, 4, 6, 18250, 54260, 4, 29434, 54260, 15, 21106, 2702, 4838, 21422, 4944, 12483, 4, 165592, 7369, 1470, 98071, 4852, 73784, 7369, 29659, 3069, 8903 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 146873, 1211, 194, 37826, 7369, 8248, 4667, 1470, 75230, 2702, 195054, 54260, 4852, 2882, 6, 5, 36909, 2884, 3069, 31467, 6235, 42023, 148346, 1644, 98071, 16747, 12483, 5, 905, 12483, 4151, 1054, 120467, 37826, 6235, 148346, 1644, 98071, 7511, 2882, 37826, 123736, 148346, 6093, 6, 148346, 26612, 119718, 98071, 104149, 40026, 49597, 506, 6093, 3069, 31467, 3069, 31467, 104378, 4, 37826, 7746, 4231, 114436, 3523, 98071, 29659, 1470, 75230, 2702, 195054, 54260, 4852, 2882, 74, 123736, 148346, 6093, 7508, 6093, 1054, 120467, 37826, 6235, 148346, 1644, 98071, 57619, 2882, 8903, 506, 2882, 125523, 6, 238144, 16932, 8248, 31467, 1982, 12483, 5, 1470, 33809, 1211, 6, 113889, 13458, 46598, 163139, 49597, 7369, 37826, 7746, 1751, 75230, 1211, 874, 98071, 2882, 6, 63188, 12483, 6235, 5, 101328, 98833, 3069, 31467, 7508, 6093, 58573, 4113, 1470, 33809, 1211, 8947, 81444, 4838, 3373, 4667, 4, 199145, 151614, 148346, 12483, 9934, 98071, 4667, 3523, 98071, 16803, 1470, 75230, 2702, 195054, 15533, 2882, 4, 2808, 98071, 4852, 7508, 6093, 184639, 10339, 33809, 1211, 220224, 2451, 119718, 120467, 151614, 148346, 12483, 7746, 3523, 98071, 16803, 1470, 75230, 2702, 195054, 15533, 2882, 2451, 8903, 506, 2882, 6428, 47351, 148346, 1644, 98071, 57619, 12483, 5, 133190, 1470, 75230, 148346, 76961, 151614, 148346, 12483, 9934, 98071, 4667, 1470, 75230, 2702, 195054, 15533, 2882, 4, 6235, 506, 2882, 163139, 16932, 4151, 6, 128750, 98071, 506, 6093, 2442, 98071, 61397, 6, 148346, 1644, 98071, 57619, 12483, 5, 132, 1644, 142429, 1211, 5, 16, 3559, 16, 2808, 98071, 1211, 620, 4113, 109636, 148346, 26612, 148346, 4113, 661, 194, 8300, 33809, 2050, 7369, 29659, 23050, 506, 21295, 18225, 3069, 98071, 2702, 12483, 9934, 98071, 4667, 2205, 7508, 6093, 199145, 10339, 186955, 6, 23173, 75230, 2702, 4151, 1644, 21660, 16932, 4, 6, 148346, 98071, 50856, 2702, 18225, 1470, 98071, 56417, 15, 29771, 35189, 1470, 98071, 46244, 16, 3069, 31467, 1285, 49597, 1470, 75230, 8903, 1211, 1470, 33809, 1211, 76961, 43649, 109316, 1211, 4852, 98071, 4667, 6, 23173, 33809, 2050, 2205, 42572, 25207, 8903, 1211, 1470, 98071, 56417, 15, 29771, 35189, 1470, 98071, 46244, 2077, 2451, 6, 148346, 710, 148346, 109316, 4, 6, 148346, 710, 148346, 109316, 4, 25933, 33809, 6235, 506, 4, 2882, 33809, 32, 661, 710, 16, 84577, 2702, 77188, 7369, 15, 29771, 35189, 9934, 98071, 2077, 2451, 125523, 42572, 98071, 3131, 5, 2451, 6, 104149, 7508, 9221, 6, 48904, 98071, 35189, 1470, 33809, 1211, 41764, 98071, 3131, 4, 2451, 27702, 148346, 109316, 4, 6, 148346, 29771, 148346, 109316, 4, 25933, 33809, 6235, 506, 16803, 33809, 1211, 2451, 125523, 6, 162642, 5, 2451, 6, 155374, 1285, 49597, 4667, 6, 48904, 98071, 2442, 6093, 1470, 33809, 1211, 6, 30979, 5, 2451, 27702, 148346, 109316, 4, 6, 148346, 29771, 148346, 109316, 4, 119055, 2808, 33809, 6235, 506, 16803, 33809, 4852, 2451, 125523, 41764, 33809, 16932, 6319, 33809, 1982, 12483, 5, 2451, 6235, 506, 7508, 71512, 6319, 98071, 83182, 44779, 8248, 31467, 4944, 12483, 4, 2451, 27702, 148346, 109316, 4, 6, 148346, 29771, 148346, 109316, 4, 163139, 49597, 220440, 6319, 98071, 83182, 44779, 151614, 16803, 33809, 4852, 2451, 6, 26394, 42023, 4, 2451, 6235, 506, 76961, 114955, 44779, 55242 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12483, 5, 77518, 41764, 75230, 7972, 2702, 12, 106, 54260, 2882, 653, 660, 3198, 5, 2451, 14, 478, 771, 6, 148346, 29771, 148346, 4113, 5, 1470, 98071, 1211, 6, 186955, 88660, 16667, 2882, 84577, 98071, 1211, 132, 119718, 29771, 506, 79981, 16, 364, 54260, 16803, 6428, 5, 41764, 15350, 6, 5, 148346, 7972, 16747, 161829, 84475, 137, 148346, 1644, 98071, 50856, 4852, 161829, 155, 74, 1470, 98071, 1211, 6, 148346, 137218, 28726, 132, 18415, 10069, 5, 33960, 148346, 5, 16, 137, 87178, 148346, 17645, 5, 2648, 5666, 99611, 74, 2205, 4151, 29060, 80264, 15, 23847, 142429, 5, 4269, 33809, 148346, 5, 16, 137, 148346, 1644, 98071, 152848, 364, 114436, 74, 2205, 16175, 101608, 78683, 21087, 74484, 17645, 119718, 5, 33960, 148346, 5, 16, 2451, 37271, 163177, 62808, 39340, 2909, 41764, 75230, 7972, 2702, 12, 6, 4, 29315, 474, 206, 143628, 49597, 3131, 12, 132, 24244, 9719, 127583, 16, 2451, 2702, 23173, 48775, 4944, 244640, 12984, 4, 9934, 2702, 53521, 12483, 15, 2648, 98071, 1470, 75230, 8903, 1211, 3142, 1470, 98071, 1211, 6, 92867, 64260, 98071, 2050, 15, 148346, 13159, 6093, 26612, 148346, 5, 4269, 33809, 148346, 5, 16, 2451, 37271, 148346, 12666, 50856, 4852, 5927, 54260, 2882, 74, 2205, 3373, 29771, 4944, 244640, 40096, 36419, 119718, 15, 119718, 23173, 3131, 5, 4269, 33809, 148346, 5, 16, 137, 148346, 12666, 152848, 16580, 506, 74, 1470, 98071, 1211, 3373, 57277, 36326, 119718, 132, 90848, 2648, 5, 33960, 148346, 5, 16, 137, 148346, 1644, 98071, 152848, 115222, 15907, 2702, 2909, 710, 77518, 2205, 77014, 200117, 40096, 25207, 119718, 15, 119718, 23173, 2702, 5, 33960, 148346, 2077, 137, 148346, 1644, 98071, 16747, 37016, 33809, 506, 4, 1470, 5, 4838, 5, 119055, 5, 905, 23173, 710, 84577, 42572, 8580, 73095, 148346, 25207, 149311, 15, 4944, 34709, 2865, 5, 46050, 4852, 2077, 2451, 3373, 26, 88660, 50856, 6, 148346, 26612, 148346, 26612, 32, 2451, 132, 22426, 33809, 1211, 1470, 48904, 8580, 6, 148346, 29771, 148346, 4113, 32, 16, 2451, 9934, 26, 874, 137218, 2050, 57277, 2451, 25046, 33809, 1211, 4151, 16175, 2882, 99766, 16, 2451, 48494, 33809, 23050, 506, 16803, 33809, 32, 2451, 1470, 5, 36324, 5, 1054, 5, 136124, 101080, 31467, 14081, 17190, 506, 212915, 148346, 54260, 1470, 33809, 54561, 68173, 1211, 8580, 7369, 84475, 22753, 16, 364, 75230, 148346, 2882, 6, 68558, 6, 148346, 33809, 25093, 12483, 2205, 8300, 33809, 3373, 71577, 12483, 6, 159696, 51723, 1644, 75230, 55823, 1211, 5, 5332, 88280, 2442, 10676, 3069, 109636, 1211, 76961, 10676, 18583, 148346, 98071, 16747, 65482, 5, 1470, 33809, 1211, 7508, 54260, 2702, 12483, 1470, 98071, 56417, 2205, 54260, 5666, 8947, 119055, 77188, 6235, 4944, 244640, 71577, 2882, 4, 10676, 6, 148346, 98071, 16747, 2882, 18225, 3069, 31467, 1285, 49597, 1470, 75230, 8903, 1211, 119718, 98071, 35189, 207748, 163139, 49597, 6, 148346, 54260, 2050, 7369, 16803, 64213, 5, 119718, 23173, 36326, 194, 2808, 34479, 4, 119718, 23173, 710, 84577, 5, 2808, 98071, 1211, 9934, 101080, 31467, 2442, 39340, 5, 2451, 1470, 75230, 199145, 43649, 20616, 21087, 33809, 32, 2451, 230764, 4838, 10339, 59929, 5, 2451, 199145, 81414, 49597, 20260, 16803, 33809, 32, 6, 5, 2451, 4838 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 34076, 48350, 109316, 17806, 59929, 5, 2451, 75903, 24621, 26, 2050, 185182, 25207, 44478, 6, 61397, 12483, 6, 23173, 33809, 2050, 2451, 874, 71512, 5, 2451, 36324, 7508, 33809, 1054, 119273, 22753, 6319, 75230, 1644, 12483, 4, 119055, 119273, 33809, 874, 98071, 2442, 1470, 75230, 4667, 6235, 148346, 12483, 32, 2451, 4838, 30654, 506, 5, 2451, 6, 97634, 27702, 2050, 1054, 36326, 874, 98071, 4667, 6, 57277, 39340, 5, 132, 153222, 24152, 59929, 98071, 4, 6319, 98071, 4113, 119718, 5, 33960, 148346, 5, 16, 35046, 16, 2808, 98071, 1211, 6, 148346, 26612, 148346, 98071, 10918, 5, 23173, 448, 114955, 23050, 506, 51723, 9934, 98071, 4667, 3069, 31467, 5666, 75230, 6293, 2205, 64890, 200117, 26, 1211, 6, 26394, 54574, 12483, 6235, 506, 2882, 6, 123844, 42572, 8580, 9934, 22426, 2808, 75230, 6293, 29434, 26, 6093, 2648, 5, 128750, 4113, 8903, 1211, 8947, 1285, 49597, 6319, 98071, 83182, 12, 2451, 27702, 1982, 98071, 10918, 49597, 4, 6, 148346, 26612, 1982, 98071, 10918, 49597, 4, 95455, 65902, 148346, 2882, 1470, 98071, 46244, 32, 35596, 59919, 2882, 8947, 12, 2451, 1751, 109636, 152848, 44779, 5, 22680, 4113, 8903, 1211, 22753, 12, 2451, 230764, 1054, 120467, 6428, 23173, 23741, 1470, 98071, 46244, 1751, 109636, 152848, 44779, 32, 4113, 98833, 36909, 77188, 2181, 12, 2451, 3069, 31467, 6, 147713, 12483, 4838, 10339, 54260, 6093, 98071, 1644, 5, 128750, 4113, 8903, 1211, 1054, 54260, 12, 2451, 230764, 48494, 203232, 6428, 23173, 23741, 1470, 98071, 46244, 4838, 10184, 6093, 98071, 67873, 35596, 59919, 2882, 8947, 12, 2451, 230764, 9934, 98071, 26394, 1211, 6, 48904, 26, 29771, 25616, 33809, 61541, 5, 128750, 4113, 8903, 1211, 220224, 12, 2451, 230764, 1054, 120467, 6428, 23173, 159212, 1470, 98071, 46244, 6, 48904, 26, 29771, 25616, 33809, 148346, 13845, 32, 35596, 36909, 77188, 2181, 12, 2451, 1470, 75230, 2702, 8300, 33809, 148346, 90848, 96986, 1285, 49597, 9213, 8903, 44779, 5, 26394, 1644, 75230, 36909, 12483, 8248, 4667, 1285, 49597, 6319, 98071, 83182, 5, 132, 2882, 101608, 78683, 21087, 4, 6319, 98071, 4113, 119718, 5, 33960, 148346, 5, 194, 50258, 29659, 54260, 59461, 1470, 33809, 1211, 6, 148346, 54260, 59461, 5, 16580, 83182, 67882, 93509, 98071, 25207, 1211, 3069, 235210, 12483, 2205, 112216, 153222, 1211, 9934, 98071, 4667, 183216, 874, 98071, 2882, 172033, 12, 1470, 98071, 1211, 1285, 49597, 6, 148346, 16011, 44779, 2200, 29659, 127684, 21733, 109226, 1470, 98071, 1211, 6, 148346, 75230, 4667, 4, 2702, 5, 16580, 16747, 1054, 29060, 151614, 148346, 12483, 4269, 33809, 18415, 6, 90848, 4667, 4, 26, 4113, 62808, 8947, 12483, 4838, 4269, 98071, 50853, 65482, 4231, 75230, 4667, 5, 661, 51421, 4113, 148346, 25207, 506, 8580, 4, 10213, 52480, 5, 46050, 144754, 10676, 88911, 13845, 119055, 6093, 12483, 1470, 75230, 4667, 104038, 26, 44779, 5, 7508, 186797, 2882, 56170, 16629, 2648, 65482, 192544, 63620, 16, 148346, 23173, 8903, 28726, 4, 204982, 65307, 5, 148346, 21106, 2648, 163139, 49597, 18225, 6, 186797, 2882, 48494, 203232, 710, 36909, 28726, 119132, 47833, 3523, 76961, 8300, 3373, 136108, 5, 1211, 1982, 48340, 34709, 2442, 72577, 65307, 27, 568, 31, 5, 10954, 6, 5, 26217, 2882, 53082, 6, 5, 6235, 46601, 2451, 6, 148346 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23173, 23269, 28726, 4, 4269, 33809, 2882, 65307, 4, 2451, 6, 148346, 23173, 8903, 28726, 4, 72577, 1751, 148346, 609, 5, 10918, 21295, 7369, 7746, 2205, 6, 101328, 98833, 7746, 230764, 22753, 6, 159696, 12483, 65606, 2442, 6, 68558, 2205, 119055, 905, 148346, 14303, 3069, 31467, 6235, 148346, 12483, 4838, 19302, 71577, 84475, 4838, 8903, 28726, 37189, 7369, 6, 148346, 23173, 54260, 4852, 2882, 95455, 3069, 31467, 6, 80264, 4, 874, 33809, 4852, 4231, 114436, 220224, 1211, 7508, 6093, 6, 5, 148346, 3131, 148346, 609, 155, 2205, 6, 101328, 8903, 1211, 5, 13159, 3056, 1470, 75230, 4667, 1470, 54260, 23405, 73381, 98071, 506, 33716, 21422, 6235, 148346, 12483, 29434, 54260, 19302, 4113, 111137, 1211, 12, 137, 2808, 54260, 16667, 4, 9424, 238144, 4, 29434, 54260, 5, 6, 17645, 54260, 21422, 6, 1211, 26612, 165592, 21776, 29025, 33809, 1470, 98071, 4852, 18583, 506, 47351, 4838, 7265, 13845, 163139, 49597, 7746, 3069, 31467, 18583, 506, 98071, 96986, 12, 119055, 12483, 3131, 75230, 1211, 4231, 114436, 4838, 55242, 7611, 6, 48904, 98071, 35189, 364, 21106, 148346, 48706, 20616, 186797, 4, 6, 205416, 7511, 16803, 6235, 148346, 12483, 6, 112452, 19302, 71577, 5, 132, 119718, 23173, 36326, 194, 66947, 16, 2882, 40096, 109316, 41764, 98071, 218241, 5, 113889, 92867, 26, 1211, 6, 26394, 54574, 12483, 4, 1470, 98071, 4852, 4151, 141879, 2442, 7508, 6093, 16175, 174121, 2200, 76961, 1054, 135118, 710, 83182, 5, 220224, 23269, 225975, 2882, 7369, 3069, 31467, 1285, 12, 2451, 9721, 141847, 1982, 2050, 6, 49268, 8947, 12483, 5, 1644, 75230, 36909, 12483, 220224, 4838, 905, 37016, 2205, 6, 104378, 506, 48904, 2442, 98252, 2205, 33960, 148346, 12483, 6, 98071, 56417, 6, 98071, 1211, 23173, 8580, 874, 148346, 9183, 18553, 29659, 8947, 12483, 2205, 7369, 6, 119273, 15, 101296, 4944, 244640, 2882, 8248, 4667, 8947, 12483, 194, 128750, 4113, 8903, 1211, 220224, 1470, 98071, 56417, 12, 2451, 6, 26, 119273, 1470, 33809, 54561, 1470, 98071, 148346, 6093, 1644, 127827, 12483, 32, 905, 29771, 13497, 7369, 12, 2451, 6, 101328, 4, 6235, 506, 125830, 6, 222907, 12483, 5, 23269, 506, 12483, 220224, 4838, 9183, 12483, 7746, 46440, 12483, 2205, 148346, 21106, 2648, 3069, 31467, 2442, 98071, 4484, 2205, 42572, 25207, 8903, 1211, 1470, 98071, 506, 1982, 12, 2451, 151614, 16803, 1470, 33809, 54561, 1470, 98071, 148346, 6093, 195054, 165592, 2882, 32, 29771, 98833, 7369, 12, 2451, 6, 49008, 4, 564, 26, 85465, 200117, 51605, 164863, 16667, 12483, 4, 2451, 13458, 141847, 15231, 2808, 98071, 56417, 21422, 46711, 54260, 12483, 9213, 2702, 12, 2451, 6, 26, 119273, 26784, 1470, 98071, 75578, 1644, 127827, 12483, 32, 29771, 98833, 7369, 12, 2451, 6, 101328, 4, 6235, 506, 2882, 2050, 4838, 159696, 4484, 6, 222907, 12483, 5, 506, 12483, 220224, 4838, 159696, 4484, 8248, 4667, 145813, 54260, 12483, 1470, 33809, 1211, 6, 104378, 2442, 6, 98071, 4484, 1470, 33809, 1211, 42572, 4113, 2451, 151614, 16803, 1470, 33809, 54561, 19532, 75578, 151227, 127827, 28320, 6093, 12, 2451, 6, 49008, 4, 564, 26, 85465, 200117, 10339, 48904, 13159, 12483, 5, 125158, 101080, 31467, 14081, 17190, 506, 212915, 148346, 54260, 22639, 1211, 6, 54260, 25207, 1211, 10069, 114955, 25603, 21295, 25391 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12483, 220224, 230764, 1470, 30682, 12, 2882, 26632, 109316, 10184, 34882, 36635, 5, 2451, 5, 31, 3584, 5, 24152, 292, 10184, 15200, 6, 5, 4838, 29259, 20632, 2808, 2451, 16175, 40096, 109316, 41764, 710, 218241, 4, 2451, 16175, 40096, 109316, 41764, 710, 218241, 5, 101328, 98833, 7369, 22753, 2205, 22753, 22518, 54260, 12483, 2200, 6, 159696, 51723, 7369, 6, 71804, 47332, 4, 1751, 203749, 2882, 7369, 2205, 2442, 54260, 16803, 1285, 1470, 75230, 6093, 12483, 2200, 4151, 119055, 77188, 16175, 174121, 5, 148346, 14236, 26, 1211, 6, 101328, 8903, 1211, 4, 6, 148346, 75322, 98071, 506, 2882, 9934, 98071, 4667, 148932, 21422, 21422, 8903, 42023, 199145, 23050, 506, 13497, 6093, 3069, 1470, 98071, 56417, 95766, 3523, 33809, 71180, 12483, 5, 132, 119718, 23173, 36326, 194, 46659, 16, 2808, 98071, 1211, 10339, 48904, 98071, 5, 16580, 83182, 23050, 506, 51723, 7746, 3069, 31467, 5666, 75230, 6293, 2205, 6235, 54574, 12483, 1470, 75230, 2702, 3069, 6093, 29659, 3120, 9934, 98071, 4667, 1470, 54260, 119132, 4, 6, 113889, 4944, 244640, 20315, 2050, 6, 105235, 21295, 18225, 7746, 1470, 75230, 2702, 1470, 98071, 1211, 6, 65606, 657, 75230, 2882, 26, 1211, 119055, 185758, 2050, 42572, 33809, 1211, 19302, 172398, 96986, 132, 7511, 49597, 13982, 98071, 2932, 80885, 1211, 16, 6, 68558, 5, 94741, 1211, 6235, 506, 2882, 4151, 1470, 75230, 2702, 23269, 26394, 54574, 16932, 3523, 33809, 3069, 31467, 2050, 17824, 13159, 96986, 15, 506, 4113, 1982, 80885, 1211, 16, 1470, 33809, 1211, 128750, 4113, 98833, 1470, 30682, 12, 2451, 48494, 203232, 1470, 98071, 4852, 7508, 98071, 10339, 48904, 98071, 32, 35596, 59919, 2882, 7369, 12, 2451, 6, 129891, 5, 8903, 506, 2702, 7369, 3069, 31467, 2050, 9424, 238144, 96986, 125523, 1470, 98071, 111398, 1470, 33809, 1211, 129165, 98833, 1470, 98071, 506, 18406, 2451, 48494, 203232, 1470, 98071, 4852, 1285, 49597, 112216, 7511, 49597, 32, 35596, 36909, 77188, 4231, 114436, 1470, 75230, 4667, 12, 2451, 3523, 54260, 1211, 5, 165592, 75230, 6235, 506, 2882, 21422, 6, 148346, 15533, 26, 1211, 141879, 1211, 4, 10676, 19302, 172398, 96986, 5, 4151, 141879, 2442, 6, 35596, 36909, 77188, 12, 2451, 6, 101328, 5, 20315, 87311, 21295, 23050, 506, 63532, 7369, 1470, 98071, 56417, 1470, 33809, 13497, 53414, 6, 29766, 46598, 1470, 33809, 1211, 42572, 98071, 506, 33716, 1470, 98071, 56417, 120202, 4838, 117902, 33716, 166198, 2200, 21374, 20911, 1470, 98071, 56417, 2200, 1285, 49597, 1470, 54260, 8903, 44779, 6, 23173, 54260, 1211, 2205, 6, 225975, 2882, 874, 98071, 2882, 4838, 6, 71804, 4944, 244640, 4113, 196332, 2865, 98071, 23269, 12, 2451, 10184, 49597, 506, 33716, 18225, 1285, 49597, 110573, 10125, 1470, 98071, 1211, 1751, 33809, 54574, 6, 23173, 8580, 4, 2451, 10184, 49597, 506, 33716, 18225, 1285, 49597, 2376, 506, 2200, 1751, 33809, 54574, 6, 23173, 8580, 5, 165592, 75230, 8947, 7972, 92867, 4113, 874, 39083, 5, 2451, 2808, 5, 4852, 7369, 6, 71804, 40920, 7243, 4, 1470, 98071, 4852, 7369, 4838, 67826, 49597, 4484, 4269, 39083, 127731, 33809, 1211, 1470, 75230, 148346, 2451, 101328, 4, 3056, 7369, 4838, 1751, 46545, 29434, 5, 5, 6, 113889, 4944, 244640, 20315, 2050, 1751, 36419, 21295, 7369, 1470, 98071, 56417, 1751 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 1211, 4838, 159696, 88660, 1211, 4838, 220224, 2882, 1470, 33809, 1211, 6235, 506, 2882, 1054, 54260, 16932, 21422, 73784, 17824, 13159, 96986, 1470, 33809, 1211, 129165, 98833, 1470, 98071, 56417, 12, 2451, 48494, 203232, 1470, 98071, 4852, 1285, 49597, 112216, 7511, 49597, 32, 2451, 6, 49008, 5, 165592, 75230, 163139, 49597, 35189, 6, 148346, 15533, 10676, 141879, 1211, 5, 4151, 141879, 2442, 6, 35596, 36909, 77188, 5, 2451, 6, 101328, 5, 2808, 33809, 1211, 7369, 23050, 506, 63532, 1470, 30682, 1470, 75230, 4667, 1470, 33809, 13497, 53414, 6, 29766, 46598, 2205, 42572, 98071, 506, 33716, 1470, 30682, 6, 71577, 99766, 2442, 98071, 2882, 2200, 6, 225975, 2882, 21422, 1470, 98071, 56417, 36324, 75230, 163139, 49597, 73784, 200795, 1211, 5, 6, 113889, 13458, 46598, 6, 105235, 21295, 7369, 1470, 98071, 56417, 26612, 159696, 4484, 23050, 148346, 12483, 54745, 2882, 7369, 2648, 96986, 2200, 6235, 506, 2882, 163139, 101608, 3069, 31467, 73784, 17824, 13159, 96986, 5, 36324, 75230, 6, 148346, 92904, 148346, 4852, 8947, 6, 148346, 1644, 54260, 47332, 1470, 98071, 148346, 6093, 6, 148346, 1644, 75230, 4852, 4151, 17824, 13159, 16932, 5, 23050, 506, 63532, 4151, 17824, 13159, 16932, 3069, 31467, 5666, 75230, 6293, 21106, 4113, 114955, 1470, 33809, 1211, 6, 148346, 26612, 506, 186955, 220224, 364, 41595, 6093, 9934, 98071, 4667, 4, 6319, 33809, 63532, 3069, 31467, 1470, 98071, 56417, 3069, 31467, 4151, 42572, 98071, 46244, 6093, 92500, 129165, 98833, 4838, 30682, 12, 2451, 151614, 16803, 3523, 98071, 37460, 6235, 39293, 506, 12483, 874, 54260, 23269, 6235, 54561, 1211, 35596, 59919, 2882, 7369, 12, 2451, 1470, 75230, 7201, 26, 1211, 6, 68566, 119132, 6, 148346, 23173, 2932, 5, 13982, 20616, 2882, 7746, 4151, 42572, 98071, 46244, 6093, 1470, 75230, 2702, 2200, 22518, 54260, 2882, 12, 2451, 364, 33809, 2702, 5, 4, 12065, 21087, 4, 81444, 7508, 64260, 33809, 8068, 2808, 33809, 1211, 7369, 29434, 20616, 2882, 7746, 6, 148346, 21106, 2648, 6, 9221, 98071, 4484, 1470, 75230, 2702, 73784, 17824, 13159, 96986, 2200, 6, 225975, 2882, 12, 2451, 4231, 57277, 5, 225975, 2882, 4151, 17824, 13159, 16932, 3069, 31467, 1470, 30682, 12, 2451, 1470, 75230, 7201, 26, 1211, 6, 148346, 17410, 76216, 12483, 6, 148346, 23173, 2932, 5, 13982, 20616, 2882, 7369, 7746, 6, 113889, 4944, 244640, 26612, 5, 39083, 1470, 75230, 2702, 1470, 33809, 1211, 71180, 2882, 4852, 2451, 364, 33809, 2050, 98071, 4, 364, 33809, 2702, 98071, 4, 81444, 81444, 2865, 33809, 38, 92500, 29434, 20616, 2882, 7746, 6, 148346, 21106, 2648, 72308, 98071, 4484, 1470, 33809, 1211, 6, 225975, 2882, 12, 2451, 3523, 98071, 97634, 5, 165592, 75230, 119055, 77188, 1470, 75230, 2702, 8903, 25207, 4944, 35596, 18583, 16629, 2648, 65482, 6319, 39083, 98071, 25207, 1211, 6, 148346, 6093, 2932, 5, 4151, 113889, 4667, 119055, 141943, 2882, 4852, 98071, 4667, 4151, 10184, 49597, 46244, 6093, 3069, 31467, 2050, 895, 125830, 96986, 7265, 4838, 6, 148346, 92983, 12, 2451, 6, 148346, 29766, 2932, 874, 98071, 2442, 4838, 6, 148346, 166198, 109316, 38, 35596, 59919, 2882, 7369, 12, 2451, 564, 26, 506, 29771, 148346, 125523, 6, 112452, 14856, 54574, 7243, 6235, 4484, 75230, 159212, 5, 13982, 20616, 2882, 7369, 7746 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1470, 75230, 2702, 1470, 33809, 1211, 6235, 506, 2882, 123736, 7201, 4838, 6, 148346, 29766, 81414, 2882, 1470, 33809, 1211, 107776, 3069, 31467, 2442, 98071, 46985, 8580, 6, 225975, 2882, 163139, 49597, 35189, 12, 2451, 6, 148346, 29766, 2932, 874, 98071, 2442, 4838, 564, 166198, 109316, 38, 35596, 2702, 77188, 7369, 12, 2451, 3496, 26, 85465, 200117, 125523, 3523, 98071, 29659, 6235, 90848, 29659, 3131, 71512, 2882, 15, 36909, 2884, 41764, 75230, 1644, 98071, 3131, 12483, 4, 5, 568, 5922, 23150, 18, 694, 238, 8903, 506, 2882, 7369, 6, 113889, 4944, 75322, 39083, 4838, 159696, 4484, 2200, 107776, 72308, 98071, 4484, 2205, 6, 225975, 2882, 12, 2451, 6, 148346, 29766, 2932, 874, 98071, 2442, 4838, 564, 166198, 109316, 38, 35596, 59919, 2882, 7369, 12, 2451, 564, 26, 85465, 200117, 125523, 42493, 1470, 75230, 2050, 8903, 4484, 113889, 96986, 5, 8903, 506, 2882, 7369, 163139, 49597, 35189, 4838, 159696, 4484, 1470, 33809, 1211, 6319, 33809, 63532, 3069, 31467, 2442, 98071, 4484, 2205, 6, 225975, 2882, 5, 2451, 6, 148346, 29766, 2932, 874, 98071, 2442, 4838, 6, 148346, 166198, 109316, 38, 35596, 36909, 6093, 7369, 12, 2451, 6, 92867, 26, 506, 29771, 148346, 125523, 42493, 1470, 75230, 2702, 8903, 101296, 92867, 2882, 5, 8903, 506, 2882, 7369, 6, 75230, 16932, 2190, 12483, 2205, 6319, 75230, 2050, 72308, 98071, 4484, 1470, 33809, 1211, 6, 225975, 2882, 12, 2451, 6, 148346, 29766, 2932, 874, 98071, 2442, 4838, 6, 148346, 166198, 109316, 38, 35596, 59919, 2882, 7369, 12, 2451, 3373, 26, 2808, 98071, 4852, 125523, 42493, 132025, 8903, 148346, 92605, 12483, 5, 8903, 506, 2882, 7369, 163139, 49597, 35189, 4838, 159696, 4484, 1470, 33809, 1211, 16580, 1982, 2702, 72308, 98071, 4484, 1470, 33809, 1211, 6, 225975, 2882, 5, 2451, 6, 148346, 29766, 2932, 874, 98071, 2442, 4838, 6, 148346, 166198, 109316, 38, 35596, 36909, 77188, 7369, 12, 2451, 6235, 506, 6, 23173, 54260, 1211, 2205, 6, 78683, 46685, 1470, 33809, 1211, 23050, 56417, 7508, 98071, 2442, 5, 165592, 75230, 119055, 609, 98071, 7369, 15857, 95455, 6, 225975, 12483, 4, 364, 54260, 148346, 12483, 76961, 114955, 6, 68558, 1285, 112216, 153222, 1211, 2865, 98071, 2882, 1285, 49597, 364, 141943, 2200, 3069, 6319, 76776, 165354, 7265, 1285, 49597, 9424, 98071, 23405, 6093, 5, 22680, 4113, 98833, 9934, 98071, 4667, 4151, 10184, 49597, 46244, 6093, 12, 2451, 119055, 448, 1470, 98071, 1211, 48494, 203232, 6, 148346, 710, 7508, 98071, 2442, 32, 35596, 36909, 77188, 7369, 12, 2451, 6, 2050, 26, 5, 21106, 12483, 3523, 98071, 36419, 44779, 10339, 33809, 1211, 6, 148346, 75230, 25207, 2050, 5, 8903, 506, 2882, 7369, 6, 23173, 33809, 13497, 6093, 364, 41595, 6093, 1470, 98071, 56417, 55242, 506, 12483, 4, 6, 148346, 26612, 36909, 21106, 12483, 1470, 98071, 56417, 1285, 49597, 114955, 92500, 6, 148346, 98071, 1644, 12483, 230764, 1470, 98071, 56417, 5, 132, 153222, 24152, 59929, 12, 4, 6319, 98071, 4113, 119718, 5, 33960, 148346, 5, 194, 16, 2190, 4484, 48775, 14004, 7511, 49597, 2702, 12, 15, 87637, 21087, 4, 11211, 21087, 4, 81444, 81444, 2865, 33809, 16, 2451, 23269, 5666, 12, 4, 6235, 54561, 4, 4838, 364, 54260, 5, 54100, 16, 506, 23173 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3131, 13845, 4, 6, 145146, 4, 41764, 75230, 6093, 5, 13159, 145813, 98071, 1644, 12483, 42572, 98071, 6093, 6, 54260, 23405, 44779, 2200, 220224, 6, 26394, 54574, 12483, 20632, 98071, 3131, 12483, 9934, 98071, 4667, 1470, 75230, 2702, 5, 4151, 6093, 3131, 16932, 4, 199145, 6235, 506, 2882, 6, 23173, 75230, 2702, 3120, 6, 26394, 54574, 12483, 4, 1470, 98071, 4852, 6, 145146, 74, 4151, 9424, 238144, 16932, 1470, 98071, 20116, 23173, 36326, 67873, 4151, 29434, 98071, 16932, 2451, 22426, 75230, 6093, 2205, 4151, 10184, 93497, 6093, 6, 148346, 1644, 54260, 148346, 2882, 4838, 119055, 23173, 36909, 6093, 1470, 33809, 1211, 76961, 7916, 49597, 6093, 67882, 4944, 12483, 7746, 137, 22426, 21106, 4484, 13159, 155, 2200, 43649, 109316, 1211, 7746, 4838, 159696, 4484, 23050, 148346, 12483, 4838, 17824, 98071, 148346, 13845, 1470, 33809, 1211, 4151, 119718, 23173, 36909, 6093, 23050, 506, 63532, 29434, 54260, 43649, 54260, 16747, 44779, 2205, 119055, 23173, 159212, 1470, 98071, 1211, 6, 68566, 148346, 13845, 6, 23173, 28320, 5, 10339, 186955, 23173, 75230, 2702, 1470, 54260, 1211, 43649, 54260, 16747, 13845, 4, 1470, 98071, 4852, 95455, 6, 145146, 4, 6, 94741, 63020, 18225, 1470, 98071, 56417, 1751, 203749, 12483, 874, 98071, 2882, 1285, 49597, 37271, 22426, 21106, 4484, 13159, 2909, 7369, 4838, 177282, 75230, 159212, 123736, 148346, 6093, 6, 148346, 21106, 2648, 3069, 31467, 4151, 17824, 65482, 7611, 15, 26612, 6, 148346, 26612, 29659, 98071, 63532, 6, 99766, 4, 119718, 2808, 33809, 874, 26, 205416, 1470, 98071, 56417, 1751, 75230, 1211, 3523, 34533, 1751, 203749, 12483, 247, 133190, 6, 148346, 15533, 7369, 21374, 63532, 21422, 4838, 506, 98071, 1211, 4, 657, 75230, 23741, 51723, 1470, 30682, 125523, 2200, 874, 26, 2808, 98071, 4852, 1470, 98071, 56417, 33469, 244640, 148346, 2648, 7265, 1285, 137, 7201, 21106, 4484, 13159, 2909, 6, 113889, 4944, 244640, 20315, 2050, 163139, 49597, 7369, 2808, 98071, 4852, 1751, 75230, 1211, 3069, 31467, 130991, 3069, 31467, 4151, 17824, 65482, 7611, 4, 178748, 7369, 241662, 72308, 98071, 4484, 8903, 42023, 292, 2200, 114082, 101080, 31467, 14081, 17190, 506, 212915, 7511, 194706, 4231, 33809, 25207, 1211, 10069, 114955, 159696, 21295, 21106, 4113, 43649, 109316, 1211, 9934, 98071, 4667, 1054, 54260, 16932, 6, 23173, 33809, 2050, 6, 68566, 148346, 13845, 2200, 4151, 119055, 23173, 59919, 119055, 23173, 159212, 163139, 35189, 2648, 98071, 43649, 54260, 16747, 44779, 2205, 36324, 66334, 42572, 186955, 6, 23173, 75230, 2702, 9424, 238144, 84475, 29434, 54260, 4, 1470, 98071, 4852, 9424, 119718, 710, 364, 23173, 3131, 13845, 12, 13982, 54260, 292, 41764, 75230, 6093, 2205, 2205, 6, 148346, 710, 25207, 6, 61541, 12483, 6319, 33809, 63532, 4151, 113889, 4667, 160238, 95455, 55242, 1644, 148346, 4113, 163139, 49597, 148346, 54260, 6, 145146, 5, 132, 119718, 23173, 36326, 194, 44141, 16, 506, 43178, 8903, 71804, 6, 179482, 114955, 55242, 26394, 1211, 9934, 98071, 4667, 1470, 75230, 2702, 2205, 1470, 54260, 6093, 7508, 75230, 63532, 177274, 1211, 2205, 2205, 2808, 75230, 6093, 6, 23173, 54260, 1211, 199145, 7369, 1470, 98071, 4852, 12, 22753, 1644, 148346, 6093, 59461, 657, 54260, 4944, 16932, 84475, 4269, 39083, 2648, 114436, 6, 57277, 7611, 1470, 5, 2648, 5, 2932, 5, 35189, 6, 23173 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 2702, 8903, 240863, 114436, 10339, 33809, 1211, 6, 26394, 54574, 12483, 6, 94741, 63020, 6, 105235, 42023, 42572, 33809, 1211, 6, 238144, 18415, 16667, 2205, 6, 205416, 8947, 7511, 49597, 16803, 49920, 12483, 4, 119055, 12483, 7369, 107776, 3069, 31467, 4, 22518, 54260, 2882, 7369, 1470, 75230, 2702, 12, 2451, 364, 29789, 4, 49920, 4, 17288, 93975, 76866, 16011, 16932, 38, 12415, 159212, 8248, 4667, 6, 68558, 4151, 199145, 37826, 22639, 61397, 75230, 63532, 12, 2451, 48494, 203232, 6, 148346, 2442, 75230, 40920, 1470, 98071, 46244, 32, 225975, 2882, 7369, 199145, 7369, 6, 148346, 2442, 75230, 4667, 5, 2205, 1470, 75230, 148346, 215031, 6, 170355, 4667, 6235, 7916, 49597, 13497, 8248, 4667, 3523, 119718, 21292, 12483, 2648, 98071, 114955, 4, 6235, 506, 2882, 95455, 6319, 98071, 16747, 6, 23173, 75230, 2702, 24464, 4151, 7508, 54260, 506, 9934, 98071, 26394, 16747, 98071, 8903, 1470, 33809, 1211, 7369, 1470, 98071, 4852, 16580, 49268, 4, 6, 75230, 1644, 7369, 1470, 98071, 4852, 4151, 184639, 42572, 33809, 1211, 6428, 12, 6235, 226112, 36909, 65482, 5, 1470, 33809, 1211, 4151, 6, 23173, 75230, 2702, 8903, 240863, 114436, 42572, 33809, 1211, 6, 26394, 54574, 12483, 6235, 506, 2882, 6, 238144, 16932, 4838, 159696, 4484, 2205, 6319, 33809, 63532, 6, 148346, 21106, 2648, 3069, 31467, 2442, 98071, 4484, 1470, 33809, 1211, 4269, 98071, 2882, 238144, 16932, 4838, 6235, 25391, 54260, 5, 2451, 364, 29789, 4, 364, 29789, 4, 185182, 195054, 7972, 1982, 16932, 38, 128750, 4113, 98833, 4151, 1470, 54260, 50856, 75230, 46685, 12, 2451, 25933, 203232, 6, 148346, 2442, 75230, 47332, 9213, 46244, 32, 225975, 2882, 7369, 4, 199145, 7369, 6, 148346, 2442, 75230, 40920, 4, 2205, 1470, 75230, 148346, 7369, 6, 186145, 23741, 4, 6235, 506, 2882, 4231, 114436, 1470, 75230, 4667, 23173, 75230, 2702, 5, 6235, 506, 2882, 7369, 119055, 29259, 16932, 4838, 159696, 4484, 2200, 107776, 3069, 31467, 2442, 7682, 5, 36324, 75230, 117473, 6, 148346, 15533, 7369, 6, 186145, 23741, 148346, 98071, 4852, 73784, 141879, 1211, 5, 230764, 6428, 13159, 141879, 1211, 6, 48775, 6293, 7369, 3523, 98071, 16803, 46711, 73381, 12483, 2451, 35189, 141879, 17800, 54260, 16803, 6, 95494, 6293, 29434, 27, 113889, 4944, 244640, 20315, 2050, 23050, 506, 63532, 18225, 10676, 21374, 49268, 2205, 874, 26, 39293, 56169, 1470, 30682, 6, 48904, 98071, 35189, 2205, 18225, 147713, 2882, 1470, 98071, 56417, 6, 23173, 75230, 6293, 30109, 75230, 1211, 6, 148346, 29766, 1751, 46545, 44779, 6, 34575, 75230, 16, 1470, 75230, 36909, 26, 1211, 6319, 137377, 1470, 33809, 1211, 6, 148222, 98071, 148346, 2442, 98071, 8903, 55242, 26394, 1211, 6, 98071, 4667, 1470, 75230, 4667, 4838, 159696, 4484, 5, 16175, 54260, 1644, 67882, 4944, 244640, 12483, 7746, 60837, 120467, 64213, 4, 657, 4, 8903, 1211, 7746, 5, 2200, 35189, 9424, 54260, 2882, 6235, 506, 2882, 7508, 6093, 6, 95494, 4667, 29434, 27, 2205, 3496, 244640, 71577, 2882, 4838, 29771, 7201, 1285, 49597, 30109, 75230, 1211, 42572, 8580, 21374, 49268, 26, 5, 120202, 2808, 33809, 1211, 4838, 177282, 75230, 159212, 4, 3496, 244640, 71577, 12483, 7746, 76961, 230764, 4, 1470, 75230, 101608, 21776, 2050, 21374, 49268, 4, 2200, 657, 75230, 55823, 1211, 72649 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2702, 113889, 4667, 2205, 22518, 54260, 12483, 12, 2451, 564, 71577, 2882, 4838, 4269, 91275, 4, 27702, 7201, 2865, 4838, 4269, 91275, 38, 148346, 98071, 4852, 874, 26, 1982, 71577, 2702, 1470, 98071, 56417, 5, 23269, 506, 51723, 1470, 98071, 56417, 6, 68558, 9424, 238144, 137, 33716, 48775, 4852, 117260, 49597, 39340, 2050, 155, 117578, 1285, 49597, 123736, 25207, 36258, 2200, 6, 148346, 164863, 183216, 1470, 98071, 56417, 3069, 31467, 10184, 49597, 46244, 12483, 6, 51220, 21374, 49268, 5, 128750, 4113, 98833, 1470, 98071, 506, 2702, 4151, 21374, 49268, 12, 6, 5, 47709, 33809, 6, 61397, 12483, 32, 35596, 59919, 2702, 7369, 12, 2451, 6, 23173, 4231, 114436, 6, 159696, 21295, 5, 2451, 1054, 120467, 151614, 16803, 33809, 6235, 2882, 33809, 1211, 32, 2451, 564, 26, 506, 29771, 148346, 6235, 36909, 33809, 49008, 4838, 6, 148346, 15907, 13845, 874, 98071, 2882, 182731, 5, 2451, 25933, 203232, 151614, 16803, 33809, 6235, 2882, 33809, 1211, 564, 98071, 2050, 26, 1211, 6, 148346, 54260, 13845, 874, 98071, 2882, 182731, 32, 2451, 564, 26, 506, 29771, 148346, 6235, 4484, 75230, 159212, 1751, 98071, 2702, 13845, 4, 17190, 61541, 4, 32887, 109636, 1644, 5, 2451, 1054, 120467, 151614, 16803, 33809, 6235, 2882, 33809, 1211, 874, 98071, 2882, 1751, 98071, 2702, 13845, 4, 17190, 36909, 13845, 4, 32887, 61541, 32, 2451, 564, 26, 85465, 200117, 6235, 8903, 1982, 12483, 1285, 49597, 6319, 98071, 83182, 44779, 3069, 31467, 8947, 12483, 5, 2451, 48494, 2442, 151614, 16803, 33809, 1285, 49597, 114955, 44779, 32, 2451, 1470, 75230, 2702, 23269, 16803, 29766, 148346, 12483, 5, 2451, 1470, 33809, 1211, 7213, 2702, 13845, 4, 17190, 61541, 4, 46711, 7201, 171665, 1644, 32, 2451, 1470, 75230, 1982, 8903, 1982, 90848, 1982, 12483, 5, 2451, 1054, 120467, 364, 98071, 1644, 16803, 33809, 4, 17288, 183216, 9424, 98071, 6319, 73381, 12483, 32, 95766, 7369, 21374, 75230, 148346, 2882, 7746, 1470, 75230, 2702, 1470, 54260, 16667, 10339, 33809, 1211, 7508, 98071, 6, 148346, 54260, 20315, 12, 1470, 75230, 148346, 364, 76632, 12483, 4, 6, 32670, 2882, 51723, 1470, 30682, 6, 148346, 54260, 1285, 1470, 75230, 6093, 12483, 2200, 1470, 75230, 148346, 115222, 109636, 1211, 4, 19302, 71577, 2882, 18225, 1470, 30682, 7265, 1285, 31283, 50856, 95766, 6, 88660, 7201, 6, 23173, 54260, 1211, 5, 2808, 141869, 16, 119718, 23173, 710, 62067, 12, 2451, 81179, 112707, 2882, 33809, 6, 61397, 12483, 32, 2451, 4838, 6293, 4231, 114436, 6, 159696, 21295, 5, 2451, 199145, 151614, 16803, 33809, 6235, 39293, 506, 12483, 32, 2451, 4838, 45521, 4484, 109316, 6235, 119425, 5, 2451, 56170, 1054, 120467, 151614, 16803, 33809, 8947, 7511, 49597, 16803, 6235, 80264, 3496, 71577, 12483, 32, 2451, 564, 26, 85465, 200117, 874, 151461, 6235, 506, 40096, 2702, 26, 159696, 2882, 205026, 19302, 71577, 12483, 5, 2451, 6319, 71804, 23741, 2050, 1470, 30682, 4, 19302, 71577, 125830, 1470, 30682, 4, 6319, 71804, 23741, 2702, 1470, 98071, 56417, 5, 132, 5666, 29766, 126968, 119718, 4, 657, 33809, 148346, 1644, 5, 33960, 148346, 5, 194, 69139, 16, 2808, 98071, 1211, 56170, 148346, 12483, 5, 16580, 83182, 23050, 506, 51723, 7746, 3523, 24295, 75230, 6293, 2205, 16175, 54260, 12483, 9424, 238144, 42572 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 148346, 135118, 12483, 6, 75230, 125523, 1285, 45629, 33809, 1211, 125523, 4269, 28726, 16932, 4, 1470, 75230, 27, 119718, 710, 17824, 75230, 2702, 5, 27, 910, 35189, 21776, 159696, 90848, 159696, 27, 148346, 1644, 54260, 148346, 418, 4113, 4113, 20033, 23050, 4852, 33809, 50856, 4, 874, 54260, 1211, 657, 54260, 4113, 7038, 24621, 4, 1470, 75230, 27, 113889, 4667, 21374, 119132, 6255, 3523, 34533, 6, 148346, 135118, 12483, 163139, 125523, 1285, 45629, 33809, 1211, 125523, 6, 148346, 1644, 33809, 51723, 5, 1470, 75230, 27, 119718, 98071, 17824, 75230, 2702, 27, 966, 2648, 4074, 5666, 90848, 54260, 1982, 27, 148346, 7972, 148346, 4852, 36419, 20033, 6235, 4852, 88917, 4, 6, 52541, 3944, 148346, 4113, 34072, 4, 9213, 27, 113889, 4667, 89979, 119055, 13845, 6255, 6, 148346, 135118, 12483, 6, 148346, 20616, 2442, 163139, 125523, 1470, 17645, 4, 1211, 1470, 75230, 27, 9719, 17824, 75230, 2702, 5, 5, 12, 2808, 75230, 6293, 7213, 148346, 44478, 2050, 67882, 71945, 4, 2932, 54260, 5, 6255, 6, 121865, 220224, 4838, 6235, 119718, 21292, 4, 165592, 6255, 163139, 1644, 46050, 49008, 4838, 6, 73906, 12483, 4, 29771, 148346, 6093, 4838, 6, 238144, 2702, 12483, 6, 148346, 15350, 29060, 12, 5, 5843, 26, 129891, 4838, 15529, 66293, 6093, 23269, 240863, 12483, 1470, 33809, 13497, 53414, 6, 148346, 25207, 18415, 1644, 4, 506, 64260, 6, 56052, 364, 23173, 7611, 132025, 8903, 506, 75230, 148346, 12483, 3523, 33809, 6319, 71804, 55823, 1211, 2932, 16011, 18225, 4838, 6235, 49268, 710, 12, 220273, 8580, 38, 6, 2050, 12415, 7511, 40096, 5, 2932, 29766, 8580, 292, 6428, 33809, 3523, 15533, 2702, 3373, 39083, 2648, 40096, 5, 5, 617, 90848, 148346, 6255, 6235, 119718, 39083, 2882, 42572, 33809, 1211, 6428, 99766, 4838, 177282, 75230, 36909, 12483, 4, 68313, 7243, 6235, 159696, 1211, 6319, 54260, 1211, 69529, 2190, 152656, 4, 506, 64260, 18225, 7508, 9221, 6235, 905, 29771, 2932, 2702, 152, 22753, 81444, 711, 159696, 16803, 7265, 7508, 119718, 21087, 68558, 6, 124470, 22492, 448, 22518, 54260, 148346, 12483, 5, 758, 148346, 8580, 6255, 6235, 240863, 12483, 7265, 7508, 75230, 29260, 101328, 2884, 6, 24295, 34322, 22518, 54260, 12483, 2442, 64260, 18225, 205026, 6, 23173, 23174, 4113, 39293, 13159, 2205, 7265, 12483, 25222, 148346, 6255, 6, 148346, 9221, 4838, 6, 98055, 292, 7508, 6, 48253, 22426, 3149, 2442, 2205, 6, 148346, 1644, 75230, 4852, 3523, 54260, 14088, 4, 35189, 21374, 49268, 3056, 6, 56052, 12065, 56880, 5, 132, 26612, 5, 71577, 2702, 54260, 75290, 4, 657, 142429, 4852, 194, 2808, 17727, 1982, 17727, 35189, 21776, 159696, 25207, 25603, 3056, 20632, 7508, 9221, 6, 23173, 54260, 7511, 37016, 75230, 12483, 4, 506, 64260, 7369, 20033, 95455, 657, 119718, 15907, 34709, 4113, 54745, 137218, 23405, 46053, 506, 120467, 7369, 20033, 874, 54260, 1211, 17190, 148346, 12483, 3069, 8903, 104985, 12483, 292, 2865, 148346, 8580, 6235, 119718, 29766, 15388, 36324, 75230, 16175, 75230, 2882, 163139, 1285, 119055, 48904, 2442, 5, 5, 304, 8903, 506, 6255, 20033, 6, 203326, 874, 71512, 4269, 75230, 4113, 148346, 12415, 35189, 6, 23173, 75230, 2702, 35189, 21776, 159696, 90848, 710, 25603, 3056, 2205, 874, 54260, 1211, 165284, 148346, 6, 23173, 24295, 130991, 95766, 37826 ]

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

[ 20033, 95455, 17806, 54260, 2882, 109316, 4151, 71804, 23405, 2702, 2819, 6093, 95455, 7508, 9221, 6428, 54260, 1211, 6, 63188, 12483, 3069, 31467, 139449, 4, 168892, 6, 148346, 8580, 6235, 119718, 29766, 12483, 6, 148346, 1644, 59929, 163139, 1285, 119055, 48904, 2442, 5, 5, 304, 168892, 6, 148346, 8580, 6235, 240863, 12483, 6, 189098, 874, 71512, 37189, 107581, 73375, 35189, 230764, 4113, 54260, 148346, 44478, 2050, 67882, 24152, 6, 23173, 75230, 6293, 5, 758, 7201, 140136, 31467, 14081, 17190, 506, 212915, 148346, 54260, 1470, 54260, 4852, 6, 54260, 20315, 1211, 2932, 91275, 448, 1470, 33809, 1211, 4269, 91275, 506, 168892, 7501, 6, 54260, 2702, 22753, 6235, 240863, 12483, 4838, 6235, 159696, 2882, 4, 199145, 6255, 7501, 6, 186955, 6235, 119718, 29766, 12483, 165592, 6255, 119055, 13845, 6, 23173, 75230, 2882, 32670, 12483, 4838, 6, 100863, 75230, 12483, 1470, 54260, 1211, 2808, 31623, 119718, 26612, 109985, 6, 101328, 136108, 5, 29771, 148346, 6093, 4838, 119718, 21292, 12483, 6, 148346, 15350, 29060, 5, 1470, 75230, 119055, 20616, 1737, 292, 95766, 3069, 20033, 6235, 36419, 42023, 4, 5, 363, 2808, 75230, 119055, 20616, 1737, 168892, 7501, 6, 23173, 143840, 6093, 8903, 240863, 12, 1211, 130170, 1211, 7369, 13159, 13845, 4, 506, 120467, 20033, 136108, 120467, 364, 23173, 1211, 6235, 4484, 71804, 21292, 2819, 6, 117404, 29771, 418, 205026, 3523, 34533, 4838, 144532, 8903, 74, 20616, 1211, 5, 26612, 8903, 25391, 710, 152, 220273, 8580, 40026, 7511, 40096, 5, 6, 148346, 1644, 54260, 710, 418, 36326, 20033, 23050, 4852, 88917, 4, 2451, 1285, 6, 148346, 34533, 4838, 3373, 39083, 48775, 2702, 5, 874, 54260, 1211, 6, 195054, 17645, 101608, 42572, 64260, 4113, 4, 2648, 33809, 7508, 48904, 152194, 81444, 4667, 1751, 75230, 1211, 4269, 64260, 4, 617, 6, 148346, 15533, 2882, 1751, 75230, 1211, 874, 29259, 23269, 4838, 29631, 5, 168892, 151614, 1982, 6235, 90848, 21295, 24464, 6, 90848, 32206, 4838, 177282, 75230, 36909, 12483, 4, 5, 363, 2451, 6, 56052, 4, 3523, 54260, 1211, 4, 6428, 33809, 65146, 2882, 81444, 6, 148346, 1644, 54260, 12483, 38, 5666, 29766, 230764, 36324, 75230, 6, 35465, 2190, 152656, 4, 39384, 506, 32206, 18225, 205026, 6, 23173, 8580, 159696, 73215, 7265, 7508, 33809, 39293, 710, 68558, 6, 124470, 22492, 448, 7369, 54260, 25207, 1211, 5, 2205, 10676, 3523, 238144, 2702, 12483, 68891, 4, 202075, 4231, 12483, 20033, 6, 68558, 758, 1285, 3373, 39083, 2648, 59929, 2702, 39340, 19302, 54260, 35189, 12, 168892, 151614, 148346, 6, 203326, 189631, 21087, 68558, 23050, 25391, 54260, 12483, 10339, 123145, 5, 9424, 75230, 119055, 20616, 1737, 506, 64260, 18225, 205026, 23050, 39293, 15907, 2205, 7265, 12483, 74, 1470, 75230, 119055, 20616, 3069, 31467, 874, 54260, 23269, 6, 101328, 46244, 4, 168892, 151614, 1982, 6235, 28320, 4838, 6, 112452, 12, 1285, 18906, 5594, 506, 4, 2451, 6, 148346, 1644, 75230, 4852, 37189, 54260, 26612, 18225, 37826, 20033, 1751, 75230, 1211, 123736, 2050, 13159, 75230, 25207, 1211, 10069, 6, 162642, 200724, 70361, 3056, 6235, 119718, 29766, 12483, 6, 56052, 16175, 3149, 75230, 1211, 5, 5332, 71512, 1751, 65482, 364, 29766, 5, 2808, 75230, 119055, 20616, 1737, 292, 2808, 75230, 119055, 20616, 24012, 20033, 220273, 4, 10461 ]

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

[ 16, 119718, 120467, 11265, 6, 148346, 8580, 6, 186955, 6235, 119718, 29766, 12483, 5, 418, 2205, 2808, 33809, 1211, 8300, 119718, 26612, 109985, 123736, 46244, 4, 42021, 32206, 18225, 205026, 24464, 41764, 121865, 24244, 16803, 159696, 4, 6, 148346, 1644, 54260, 4852, 36326, 20033, 6235, 119718, 50856, 5, 95766, 3373, 33809, 54574, 6, 23173, 8580, 3523, 33809, 1751, 159696, 25207, 1211, 4, 6, 54260, 1211, 895, 9221, 36419, 110573, 10125, 3131, 36419, 506, 4113, 193042, 36419, 101296, 24621, 4, 6428, 33809, 1054, 13159, 2702, 125523, 6, 9221, 6, 148346, 135118, 12483, 2932, 21292, 12483, 16175, 54260, 1644, 12483, 6, 186145, 46244, 12483, 12, 14856, 46244, 6093, 125523, 24464, 76961, 5, 2808, 75230, 119055, 20616, 1737, 292, 119718, 710, 17824, 75230, 2882, 3056, 6, 56052, 41764, 54260, 1211, 4, 17727, 2808, 75230, 119055, 20616, 1737, 119718, 120467, 6319, 68558, 1751, 75230, 1211, 7369, 59461, 220224, 1211, 4, 6, 5, 418, 2808, 75230, 119055, 20616, 1737, 292, 6, 8580, 364, 32206, 2050, 37826, 205026, 564, 54260, 1211, 6, 137218, 506, 4113, 6235, 226112, 8903, 1211, 4, 75230, 4269, 54260, 2702, 3056, 6, 56052, 3523, 54260, 1211, 4, 3523, 15533, 1054, 48904, 12483, 22753, 37826, 205026, 6235, 506, 40096, 74, 2808, 75230, 119055, 20616, 1737, 1054, 12483, 6, 52480, 54260, 6093, 170479, 20033, 6235, 159696, 1211, 6, 225975, 12483, 4, 165592, 6255, 874, 33809, 4852, 4838, 3373, 39083, 2648, 59929, 220224, 1211, 5, 36324, 6255, 119055, 13845, 220224, 1211, 4838, 3373, 39083, 2648, 40096, 5, 11, 1138, 11, 31, 587, 11, 95094, 6235, 30473, 16747, 4, 56052, 15857, 13982, 4113, 45495, 16932, 199145, 192183, 12483, 20033, 6, 54260, 20315, 1211, 4, 199145, 192183, 12483, 20033, 6, 85744, 4, 109600, 3056, 81444, 4667, 119055, 20616, 20033, 5, 21923, 2205, 4269, 75230, 26, 25603, 4113, 364, 141943, 12, 2442, 9221, 155787, 3523, 54260, 6093, 5, 1054, 54260, 13497, 230764, 1470, 33809, 54561, 6, 148346, 12415, 35189, 4, 20033, 6, 171428, 3373, 39083, 2648, 174121, 62808, 151614, 148346, 12483, 42572, 123073, 22426, 710, 21295, 48342, 6093, 6, 159696, 21295, 5, 5, 304, 117404, 48775, 18225, 205026, 6, 23173, 54260, 1211, 4, 6, 5, 304, 6093, 105235, 1211, 48011, 74, 1054, 54260, 4852, 36326, 20033, 4269, 165592, 33809, 16747, 4, 564, 54260, 1211, 3944, 148346, 6093, 10339, 64260, 6093, 4, 105515, 3373, 12483, 20033, 1470, 75230, 222572, 710, 4231, 210326, 4113, 19302, 54260, 35189, 12, 6428, 33809, 119055, 6093, 16803, 205026, 1751, 75230, 1211, 6, 148346, 21106, 2648, 1470, 75230, 1054, 20616, 41764, 29631, 4, 2808, 75230, 119055, 20616, 21204, 292, 6, 148346, 12483, 3373, 12415, 5, 1982, 205026, 6, 152656, 124724, 4838, 159696, 4484, 38, 5, 710, 119055, 20616, 1285, 3373, 54260, 8903, 6, 101328, 46244, 4, 199145, 16175, 9221, 105884, 12483, 1054, 5, 5, 363, 68313, 4113, 4113, 20033, 23050, 4852, 88917, 4, 874, 54260, 1211, 16175, 54260, 123073, 874, 75230, 6093, 4, 4852, 54260, 4852, 36326, 20033, 6235, 119718, 16747, 6, 68558, 6, 47351, 6, 37016, 74, 62808, 3056, 6428, 29766, 620, 186955, 4, 124724, 3056, 81444, 4667, 6, 148346, 710, 16932, 292, 4852, 6235, 4852, 88917, 38, 18225, 46711, 54260, 2882, 205026, 4838, 159696, 4484 ]

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

[ 5, 2648, 120467, 192183, 12483, 20033, 1470, 5, 36324, 5, 7508, 5, 5, 617, 4852, 15533, 36326, 20033, 6235, 4852, 33809, 16747, 4, 6, 56052, 3944, 148346, 4113, 110573, 10125, 4, 4852, 15533, 36326, 20033, 6235, 4852, 88917, 6, 68558, 6, 47351, 6, 37016, 74, 113889, 4667, 7508, 9221, 21776, 1644, 6255, 6, 148346, 135118, 12483, 14856, 46244, 163139, 125523, 76961, 2451, 30473, 6235, 119718, 16747, 711, 18225, 3373, 12415, 148346, 2702, 205026, 1470, 159696, 4484, 5, 905, 120467, 192183, 12483, 20033, 1470, 5, 36324, 5, 119055, 5, 5, 758, 4852, 54260, 2882, 4852, 36326, 20033, 6235, 119718, 50856, 4, 874, 54260, 23269, 3944, 30750, 1751, 56331, 4, 30473, 2702, 4852, 36326, 20033, 6235, 30473, 16747, 6, 68558, 6, 47351, 6, 7682, 418, 26612, 16175, 54260, 1644, 1054, 29789, 12483, 6, 71804, 4944, 244640, 12483, 4, 4838, 16175, 54260, 1644, 45223, 35465, 6, 238144, 12483, 292, 4852, 15907, 23050, 4852, 88917, 38, 18225, 3373, 12415, 148346, 2882, 205026, 4838, 710, 37016, 5, 119718, 120467, 192183, 12483, 20033, 4838, 5, 36324, 5, 119055, 5, 132, 2932, 12890, 72577, 212915, 4, 123736, 34575, 29766, 4, 119055, 39083, 127684, 16, 26612, 21320, 5, 418, 10069, 3523, 54260, 1211, 73880, 1737, 506, 64260, 205026, 7501, 67882, 24621, 6235, 506, 40096, 1211, 506, 41595, 6, 129891, 6255, 6, 186955, 2205, 2808, 33809, 1211, 8300, 119718, 26612, 109985, 6, 101328, 46244, 4, 56052, 6255, 6, 109995, 6, 59929, 39083, 2648, 59929, 5, 119718, 120467, 170479, 12483, 20033, 45495, 12483, 4, 119718, 120467, 170479, 12483, 20033, 6, 137218, 4944, 244640, 12483, 4, 62808, 64769, 8580, 20033, 2205, 3523, 75230, 26, 36419, 185182, 35465, 62808, 21923, 3373, 39083, 94741, 96986, 1737, 36909, 5666, 24152, 75230, 159212, 2205, 37189, 155, 36326, 364, 141943, 5, 5, 304, 47351, 4231, 12483, 37826, 20033, 23050, 4484, 75230, 159212, 4, 71577, 29766, 364, 54260, 39293, 17645, 4667, 1737, 39293, 4, 12483, 22753, 83066, 6235, 119718, 29766, 12483, 42572, 6093, 2050, 23829, 33809, 21292, 1211, 506, 41595, 36324, 18225, 3373, 36609, 20033, 6, 68558, 26612, 160238, 657, 29771, 710, 48904, 39340, 364, 75230, 104149, 4, 2702, 33809, 104149, 220224, 20033, 6, 109995, 3523, 33809, 75290, 30473, 2702, 5, 119718, 120467, 170479, 12483, 874, 98071, 2442, 16175, 33809, 12483, 4838, 5, 36324, 5, 119055, 5, 1982, 47351, 6, 54260, 1211, 67882, 24621, 37826, 20033, 23050, 4484, 75230, 159212, 4, 4113, 29766, 67826, 159696, 44779, 1737, 39293, 8903, 1211, 22753, 83066, 6235, 119718, 29766, 12483, 42572, 6093, 2865, 1470, 75230, 46053, 11648, 506, 6093, 3131, 109316, 7511, 1470, 33809, 54561, 4231, 33809, 2648, 49209, 17268, 66293, 10339, 39083, 13805, 2865, 75230, 10125, 41595, 36324, 18225, 6, 202075, 20033, 6, 68558, 26612, 59919, 3373, 29771, 9221, 59929, 39340, 3523, 33809, 2702, 13159, 4, 292, 2865, 33809, 104149, 220224, 20033, 42355, 3069, 75290, 30473, 1644, 5, 905, 120467, 170479, 12483, 20033, 45495, 12483, 5, 27, 617, 68558, 6, 109995, 193042, 24621, 3523, 120467, 20033, 6235, 4484, 75230, 159212, 4, 23173, 37016, 109316, 1737, 14004, 2648, 8947, 20033, 6235, 905, 29766, 12483, 42572, 6093, 2050, 710, 10705, 47332, 74, 506, 41595, 36324, 18225, 6, 105515, 20033, 6, 68558, 2702, 39083, 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 ]

[ 125830, 39340, 874, 111007, 9221, 5, 192575, 7369, 20033, 6, 109995, 3069, 75290, 30473, 2702, 5, 119718, 120467, 170479, 12483, 5332, 98071, 2442, 16175, 33809, 12483, 5, 42876, 165592, 874, 98071, 1211, 874, 174121, 37826, 205026, 6235, 36909, 5594, 33716, 4, 95766, 68891, 6, 23173, 12483, 1737, 68313, 2181, 20033, 6235, 119718, 29766, 12483, 42572, 6093, 192494, 24244, 20616, 54260, 13497, 6, 47351, 18225, 42572, 5594, 33716, 205026, 95766, 6, 78683, 905, 23173, 127209, 6, 23173, 54260, 1211, 4, 192575, 8947, 20033, 1285, 49597, 1211, 3069, 75290, 30473, 2702, 5, 119718, 120467, 170479, 12483, 6, 115398, 16175, 33809, 12483, 27, 17727, 5, 418, 168892, 151614, 148346, 1285, 4667, 6235, 5666, 75230, 25207, 1211, 4, 6255, 151614, 148346, 1285, 4667, 6235, 506, 40096, 16, 168892, 151614, 148346, 1285, 4667, 6235, 4852, 75230, 8903, 1211, 42572, 33809, 1211, 874, 54260, 1211, 6, 148346, 2442, 33809, 16803, 74, 4700, 168892, 81444, 5666, 7508, 18167, 4151, 8300, 75230, 8903, 1211, 3069, 31467, 36324, 75230, 41764, 15350, 6, 101328, 46244, 12483, 36909, 33809, 1211, 6, 112452, 6, 29400, 609, 151614, 148346, 6255, 204982, 6235, 45629, 33809, 2702, 2702, 5, 132, 70147, 2808, 4667, 151614, 148346, 4151, 28726, 148346, 2882, 6428, 33809, 170479, 16803, 6235, 42023, 2205, 48011, 4, 2648, 33809, 151614, 16803, 1751, 75230, 1211, 6235, 44478, 13497, 6, 91740, 54595, 1737, 168892, 151614, 148346, 6235, 506, 29771, 159212, 3496, 244640, 26, 25207, 710, 23050, 506, 12483, 6428, 29259, 23269, 77756, 33809, 5927, 21733, 6093, 6093, 5, 13342, 2050, 77208, 151614, 148346, 6255, 4151, 28726, 148346, 2882, 36324, 75230, 4838, 6, 189069, 5, 1737, 5, 363, 36909, 24295, 36909, 10705, 9424, 54260, 26612, 5, 147455, 42572, 171127, 123073, 6, 101328, 46244, 12483, 159696, 1982, 2702, 33809, 6428, 99766, 2205, 1285, 6319, 165592, 23173, 195164, 6, 186461, 12483, 74, 1737, 2808, 33809, 1211, 1285, 1470, 33809, 54561, 123073, 6, 18250, 77525, 4, 163139, 2702, 6255, 21374, 29766, 4, 165592, 6428, 33809, 119055, 119273, 6319, 54260, 1211, 657, 75230, 1211, 6, 99611, 46050, 8903, 1211, 798, 5, 617, 26612, 15857, 27909, 4, 6, 142170, 5594, 2568, 220440, 8580, 2648, 120467, 6235, 148346, 11265, 124724, 7265, 1737, 2808, 75230, 4, 160751, 20033, 1285, 364, 48904, 2442, 19532, 1211, 1751, 159696, 2442, 20033, 3069, 4, 165592, 6428, 33809, 119055, 119273, 42572, 6093, 97594, 49008, 4838, 54260, 2442, 5, 4958, 5, 758, 2702, 159696, 2882, 6, 104378, 4838, 3523, 54260, 2702, 24464, 6, 112353, 4, 159696, 16803, 7746, 6235, 42023, 159308, 24377, 22492, 1751, 203749, 12483, 12, 1737, 905, 119273, 7508, 29766, 7038, 104149, 10676, 3944, 148346, 12483, 4269, 64260, 132025, 8903, 148346, 12483, 6428, 54260, 1211, 2932, 2702, 7758, 4, 292, 36909, 6093, 8903, 2702, 6319, 54260, 1211, 119055, 75230, 3069, 225975, 12483, 5, 1737, 5, 910, 13159, 177466, 6319, 33809, 51723, 4838, 6, 99611, 3120, 6, 112353, 4, 159696, 16803, 42355, 2205, 4838, 17824, 75230, 101608, 3373, 65755, 74, 1737, 4852, 39083, 16803, 33809, 6, 101470, 95455, 15857, 27909, 1644, 2200, 5332, 12483, 6, 68558, 4838, 3523, 54260, 2702, 4, 92500, 6, 94741, 119718, 49008, 7265, 7508, 75230, 2702, 6, 172936, 5, 1737, 5, 966, 2808, 33809, 1211, 6235, 506 ]

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

[ 4, 874, 54260, 1211, 6, 108209, 4, 2200, 12, 220224, 6235, 4852, 33104, 95064, 506, 4, 564, 54260, 1211, 21374, 93238, 4, 119055, 2808, 33809, 18225, 119055, 29060, 1285, 4667, 710, 239162, 905, 74, 21204, 37271, 100495, 8947, 3523, 34533, 4838, 21776, 8903, 1211, 4, 119055, 2808, 33809, 8947, 119055, 20616, 2882, 4838, 6, 75230, 16747, 4, 8903, 506, 4, 874, 54260, 1211, 192544, 4, 25933, 33809, 8947, 119055, 29060, 7746, 226112, 49008, 5, 1737, 5, 2702, 20315, 2050, 141879, 1211, 17806, 3131, 119055, 13845, 6255, 124724, 6235, 148346, 12483, 4, 2808, 33809, 1211, 6235, 506, 4, 874, 54260, 1211, 21374, 23847, 4, 119055, 2808, 33809, 18225, 119055, 29060, 1285, 4667, 101328, 8903, 1211, 74, 1737, 119718, 2808, 33809, 8947, 6, 148346, 212484, 2882, 4838, 119718, 157245, 1470, 33809, 1211, 8947, 46711, 137377, 2882, 4838, 21776, 8903, 1211, 4, 8903, 506, 4, 874, 54260, 1211, 21374, 50856, 4, 119055, 2808, 8947, 119055, 29060, 1285, 4667, 226112, 8903, 1211, 5, 1737, 132, 710, 5, 5332, 22426, 7972, 75230, 2050, 4, 119055, 29771, 2884, 4, 1751, 16870, 28726, 89930, 26217, 148346, 5, 16, 17727, 5, 418, 148346, 8580, 6255, 20033, 6235, 36909, 29771, 46244, 12483, 73784, 657, 120467, 4, 148346, 8580, 6255, 20033, 7265, 168677, 4838, 12415, 148346, 6093, 195054, 64071, 1211, 5, 2702, 26, 68313, 6235, 119718, 29766, 12483, 4838, 6235, 2882, 33809, 24621, 1644, 4, 4838, 6, 61397, 75230, 3131, 4, 51723, 37826, 10676, 25093, 2702, 47351, 1470, 4113, 2932, 7682, 13845, 3523, 33809, 8903, 3111, 31467, 96986, 5, 5, 304, 51723, 37826, 20632, 8903, 99611, 12483, 6, 54260, 20315, 1211, 6, 148346, 1211, 710, 26659, 26, 2702, 4, 92500, 18225, 37826, 220224, 4838, 9183, 37016, 8903, 3131, 93449, 74, 2648, 120467, 43649, 29060, 13845, 3056, 5332, 119718, 29766, 12483, 18367, 506, 3131, 42695, 506, 26, 4113, 4, 87311, 48775, 128117, 37826, 8947, 1470, 75230, 2702, 8903, 4484, 33809, 20911, 5, 5, 363, 168892, 151614, 1982, 6235, 2865, 54260, 16667, 4, 6255, 6, 148346, 8580, 1751, 75230, 1211, 6, 54260, 6093, 6, 226085, 292, 506, 29771, 148346, 6255, 205026, 22639, 25207, 45629, 33534, 26, 12483, 15529, 159212, 18225, 6, 109600, 73784, 6, 80453, 98071, 29766, 6093, 12, 88660, 2702, 109316, 2882, 364, 120467, 1982, 33809, 42572, 6093, 36909, 20616, 21295, 711, 5, 617, 506, 120467, 205026, 42572, 6093, 148346, 29060, 12483, 230764, 6, 124470, 123145, 2702, 4, 506, 64260, 5332, 12483, 205026, 6, 23173, 23174, 16870, 4113, 15907, 22639, 19928, 12483, 1211, 163177, 101328, 18583, 4838, 6, 148346, 10125, 6235, 8903, 148346, 12483, 4, 35189, 21374, 49268, 170479, 220224, 1211, 364, 8580, 3373, 28633, 1211, 5, 5, 758, 18167, 151614, 148346, 95455, 21776, 506, 77188, 5, 62808, 6, 99611, 72577, 6235, 119718, 29766, 12483, 74, 20315, 1211, 21923, 6235, 119718, 29766, 12483, 120202, 8903, 39340, 506, 32206, 165592, 75230, 163139, 4838, 42572, 171127, 6093, 6093, 9424, 29766, 1211, 5, 5, 418, 148346, 1644, 54260, 13458, 36326, 20033, 6235, 119718, 93238, 4, 2865, 54260, 1211, 16175, 54260, 123073, 6, 5, 905, 16932, 62808, 3056, 6, 90848, 4667, 119055, 20616, 4, 2442, 9221, 3056, 6, 148346, 710, 16932, 4, 5, 304, 100863, 54260, 148346 ]

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

[ 905, 36326, 20033, 6235, 4852, 33809, 16747, 4, 2865, 54260, 1211, 6235, 7972, 148346, 16932, 42572, 64260, 6093, 2648, 33809, 6428, 48904, 152194, 81444, 4667, 1751, 75230, 1211, 4269, 120467, 4, 2648, 33809, 119055, 6093, 16803, 874, 54260, 23269, 41764, 29631, 12, 5, 363, 55546, 16011, 4852, 36419, 20033, 23050, 905, 33809, 16747, 4, 2865, 54260, 1211, 3944, 148346, 6093, 6, 148346, 15529, 35189, 38, 2648, 33809, 151614, 16803, 6, 99611, 6319, 54260, 1211, 6235, 50853, 4, 119718, 120467, 193042, 92867, 16803, 33809, 4838, 61397, 33809, 2442, 6093, 5, 5, 617, 17160, 54260, 148346, 4852, 36326, 20033, 6235, 4852, 33809, 16747, 4, 109995, 6235, 7972, 148346, 18415, 3373, 159696, 80885, 711, 2648, 4667, 34654, 1211, 6, 90848, 4667, 6, 9221, 6235, 159696, 1211, 35189, 1751, 43178, 82576, 1470, 33809, 1211, 4151, 6, 148346, 13159, 16932, 5, 758, 148346, 7972, 1982, 4852, 36326, 20033, 6235, 46464, 50856, 4, 56052, 3944, 35189, 42572, 4113, 16932, 711, 159696, 2442, 119055, 29259, 2702, 292, 3111, 18225, 1054, 29060, 1285, 4667, 54745, 42023, 7213, 141847, 710, 5, 910, 5666, 7972, 98071, 3111, 36326, 6, 109600, 6235, 119718, 2648, 4, 506, 6093, 3131, 109316, 7511, 194706, 4231, 33809, 20315, 1211, 2865, 54260, 1211, 657, 54260, 4113, 7544, 24621, 711, 159696, 2442, 119055, 448, 292, 2808, 75230, 148346, 3523, 26, 905, 13845, 125523, 98252, 6, 104378, 5, 5, 15770, 54260, 148346, 905, 36326, 20033, 6235, 46464, 50856, 4, 56052, 3944, 148346, 6093, 220224, 20315, 38, 2808, 54260, 1211, 4269, 64260, 163139, 2702, 7511, 18225, 7508, 64260, 7746, 152, 20616, 1211, 125523, 3523, 15435, 29771, 5, 2882, 17160, 54260, 1982, 4852, 36326, 20033, 6235, 4852, 88917, 4, 2865, 54260, 1211, 3944, 148346, 4113, 6, 148346, 29771, 148346, 5, 38, 905, 50856, 163139, 2702, 292, 10918, 1285, 1054, 13159, 2050, 20033, 1751, 75230, 1211, 151614, 148346, 12483, 5, 5, 1644, 100863, 54260, 15533, 18415, 20033, 6, 17645, 75230, 16747, 4, 1982, 54260, 1211, 3944, 148346, 4113, 3523, 10125, 711, 79761, 3056, 4838, 710, 33809, 83182, 6093, 61397, 133190, 24464, 76961, 5, 5, 418, 15350, 29259, 710, 2451, 4852, 36326, 20033, 6235, 119718, 50856, 4, 56052, 15857, 123073, 7038, 16932, 711, 2808, 75230, 119055, 20616, 20033, 74, 2648, 33809, 4269, 21292, 2702, 20033, 81444, 4667, 7265, 148346, 2442, 75230, 2882, 7265, 6, 172060, 16932, 292, 26612, 75230, 55242, 506, 89979, 5, 5, 418, 15350, 54260, 15533, 36419, 20033, 23050, 75230, 2648, 2865, 54260, 1211, 3944, 148346, 6093, 45521, 101608, 38, 2808, 75230, 6, 140746, 23050, 119718, 21106, 150715, 12483, 7213, 20911, 205026, 4838, 4113, 12483, 95766, 215031, 75903, 16932, 292, 2808, 75230, 6, 140746, 6235, 119718, 21106, 2648, 5, 304, 5666, 54260, 4852, 36326, 69715, 6235, 710, 133814, 4, 56052, 6, 17645, 4113, 5, 6, 75230, 4113, 3111, 54260, 159696, 2442, 6235, 4113, 21106, 2442, 711, 51723, 7213, 20911, 205026, 4838, 159696, 46985, 8580, 4838, 163139, 18415, 13754, 5927, 2808, 75230, 119055, 20616, 6235, 119718, 21106, 2648, 711, 2932, 17727, 5, 418, 148346, 7972, 148346, 4852, 36326, 20033, 6235, 4852, 88917, 4, 56052, 6235, 23822, 54260, 4113, 6, 164874, 150839, 120467, 6428, 33809, 151614, 16803, 6, 9221, 163139, 21087, 48350, 6093, 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, 6293, 6319, 48350, 2205, 2808, 75230, 21776, 506, 2788, 50856, 20033, 133190, 506, 120467, 6255, 6, 148346, 8580, 4838, 75386, 6, 61397, 23173, 12483, 95766, 95766, 8300, 119718, 26612, 109985, 6, 101328, 46244, 5, 132, 186955, 6, 148346, 72158, 29771, 119718, 16, 568, 5, 418, 2808, 75230, 3373, 26, 68313, 42493, 37189, 2702, 4, 2702, 68313, 42493, 29771, 6, 112452, 6, 128750, 54260, 6, 97933, 4, 2702, 26, 8903, 506, 2882, 20033, 6, 99611, 2205, 6, 56052, 17190, 148346, 12483, 74, 75230, 4231, 18415, 3056, 20033, 4, 8300, 33809, 6, 148346, 1644, 54260, 148346, 12483, 123736, 42023, 124724, 4, 165592, 16175, 26, 506, 120467, 205026, 18583, 4838, 3373, 39083, 2648, 40096, 120202, 8903, 8903, 148346, 12483, 5, 5, 304, 2702, 26, 36909, 116793, 2882, 42572, 6093, 148346, 54260, 4838, 97816, 4, 905, 120467, 6428, 33809, 3523, 15533, 2702, 42493, 29771, 292, 36909, 147713, 2882, 7746, 20033, 874, 54260, 1211, 6, 88660, 710, 7213, 26612, 710, 18415, 29771, 148346, 6093, 364, 41595, 36324, 6428, 33809, 6235, 506, 15907, 23173, 37016, 230764, 42572, 24295, 6293, 58826, 76216, 93509, 75230, 4, 3944, 33809, 148346, 153222, 96951, 4, 163139, 42542, 6255, 1470, 75230, 2702, 21106, 96986, 32, 5, 363, 2702, 26, 3131, 2702, 109316, 1211, 7746, 20033, 6, 88660, 710, 75230, 2442, 1285, 364, 29766, 10069, 4269, 48904, 26394, 42572, 24295, 6293, 6, 101328, 46244, 4, 87311, 2702, 20033, 6428, 23173, 36909, 12483, 6, 109995, 24012, 25207, 18133, 2702, 54260, 33716, 1211, 165592, 10339, 174763, 2702, 20033, 2205, 4231, 49008, 12, 2808, 75230, 4, 42572, 171433, 710, 12483, 3069, 31467, 34654, 49008, 68313, 81444, 4667, 20033, 3523, 54260, 6093, 11211, 7508, 6093, 16175, 75230, 2882, 5, 5, 617, 2808, 75230, 4, 3373, 68313, 42493, 72577, 4, 36909, 33809, 66293, 42572, 39083, 13805, 2865, 75230, 1644, 36909, 171433, 710, 12483, 3523, 33809, 12415, 49008, 4, 1644, 54260, 12483, 1470, 75230, 36909, 12483, 167048, 75230, 65482, 2050, 21374, 96986, 74, 4484, 33809, 2050, 4838, 506, 6093, 6, 56052, 3944, 148346, 4113, 36909, 506, 13845, 7265, 124724, 5332, 22426, 13159, 58729, 1211, 4, 95766, 657, 64260, 12483, 7746, 6, 148346, 54260, 20315, 6, 103023, 29260, 47351, 5, 5, 758, 30033, 4838, 506, 6093, 6, 109995, 6235, 23822, 54260, 4113, 4, 29257, 6, 148346, 1644, 54260, 1982, 16803, 230764, 4151, 32054, 54260, 4113, 4, 2648, 33809, 6, 202075, 2702, 81444, 4667, 2205, 4151, 364, 54260, 2050, 6, 59919, 148346, 1644, 54260, 148346, 12483, 1211, 2648, 120467, 6, 148346, 13159, 6255, 24012, 7508, 9221, 4, 905, 39083, 2702, 2050, 151614, 148346, 12483, 174538, 54260, 2648, 7265, 20033, 292, 4852, 39083, 16803, 20033, 4838, 6, 148346, 12415, 159696, 28726, 22518, 54260, 148346, 12483, 5, 16667, 81050, 4838, 506, 6093, 3523, 54260, 1211, 6235, 65848, 4113, 4, 2648, 33809, 148346, 1644, 54260, 148346, 16803, 81444, 4667, 1470, 32054, 54260, 4113, 4, 2882, 33809, 20033, 42355, 6, 148346, 145161, 4838, 159696, 13805, 1644, 20260, 12483, 74, 1644, 29771, 9719, 4667, 42572, 33809, 1211, 7508, 9221, 6235, 99611, 12483, 4, 2648, 54260, 1211, 117902, 2442, 23822, 29060, 4, 42355, 22753, 2702, 12483, 4, 17645, 710, 6255, 6, 68558, 7508, 9221, 6, 61397, 58032, 165354 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 34557, 17800, 2050, 42572, 12415, 13982, 18167, 4, 41764, 17645, 65848, 88660, 119718, 16, 87905, 5, 418, 13159, 3056, 20033, 3523, 54260, 2702, 4269, 33809, 2882, 4, 168892, 151614, 148346, 6, 112452, 6, 128750, 54260, 4113, 238419, 4, 292, 13159, 6235, 506, 2882, 16175, 9221, 7243, 2205, 6, 56052, 657, 171428, 74, 9719, 24012, 101608, 3056, 20033, 4, 165592, 6255, 4151, 87311, 42023, 205026, 6, 68558, 124724, 4, 38, 2882, 26, 506, 64260, 1285, 4667, 18583, 3373, 39083, 2442, 40096, 123736, 148346, 8903, 8903, 148346, 12483, 5, 5, 304, 2702, 26, 68313, 4838, 42572, 6093, 8903, 7511, 49008, 4, 95766, 1285, 6319, 165592, 23173, 195164, 21422, 6, 186461, 12483, 95766, 125523, 4151, 8300, 33809, 123736, 42023, 4838, 20260, 40697, 1211, 2819, 75230, 24012, 101608, 3056, 20033, 165592, 6255, 4151, 87311, 42023, 10184, 4667, 6, 68558, 7508, 9221, 18167, 6319, 68558, 42572, 33809, 1211, 124724, 3523, 34533, 6, 75230, 2702, 12483, 5, 363, 9183, 2808, 33809, 2205, 4151, 77756, 1211, 4, 119718, 120467, 37826, 205026, 6235, 119718, 39083, 2882, 5, 132, 21733, 4, 194, 16665, 506, 6093, 3131, 109316, 148346, 54260, 1470, 33809, 54561, 6, 54260, 20315, 1211, 36909, 33809, 16667, 6, 152656, 8580, 114349, 75230, 75386, 5, 418, 165592, 2181, 107776, 42572, 17645, 29771, 2932, 4, 148346, 129071, 18225, 81444, 4667, 82563, 609, 74, 23269, 506, 63532, 18225, 21422, 77756, 99611, 4, 54260, 1211, 1285, 2376, 850, 5, 5, 304, 4852, 6, 150541, 33809, 15907, 32054, 54260, 57277, 710, 2451, 10918, 5666, 186955, 2050, 4, 101296, 4944, 244640, 2882, 18225, 81444, 4667, 21374, 108264, 92605, 33809, 16803, 6, 12483, 1285, 657, 75230, 36909, 12483, 2808, 75230, 6293, 6, 101328, 7511, 13159, 22753, 2648, 24244, 5, 5, 363, 47351, 6, 67767, 107776, 1751, 31623, 33809, 76776, 4944, 244640, 125830, 4, 101296, 4944, 244640, 2882, 18225, 81444, 4667, 220674, 42023, 4484, 54260, 2882, 564, 12483, 21422, 6319, 75230, 109636, 1211, 2808, 75230, 6293, 1470, 33809, 54561, 6093, 874, 22426, 10125, 4, 5, 617, 165592, 10339, 73486, 2882, 6, 128750, 54260, 97634, 2932, 657, 23173, 76776, 4944, 244640, 2882, 4, 2442, 6093, 12483, 874, 54260, 23269, 3944, 109636, 1211, 42572, 93497, 5, 26612, 4944, 244640, 34079, 12483, 6255, 6, 94741, 63020, 3069, 6235, 42023, 4838, 4231, 33809, 2648, 230764, 1751, 148346, 21219, 64260, 4151, 42572, 13845, 2648, 36909, 4113, 69801, 4838, 6, 148346, 29766, 63188, 39340, 6235, 101296, 4944, 244640, 2882, 2947, 2702, 32206, 418, 16803, 67873, 6, 101328, 46244, 3056, 6, 23173, 75230, 2702, 230764, 4151, 49027, 57277, 31249, 91595, 6093, 6, 76776, 148346, 29766, 1211, 51723, 37826, 120202, 8903, 8903, 148346, 12483, 1285, 6, 149364, 119718, 710, 6, 147713, 64260, 4113, 4, 51723, 37826, 22753, 6, 23173, 37016, 2932, 2932, 2702, 105250, 2205, 4151, 43649, 142429, 2882, 2050, 29766, 218241, 13159, 5, 95766, 4151, 43649, 142429, 2702, 3373, 29766, 218241, 13159, 19532, 1211, 4838, 6, 121865, 12483, 6, 212394, 12, 168892, 23050, 506, 6, 23173, 75230, 2702, 1470, 75230, 36909, 26, 1211, 4269, 59929, 7265, 6319, 71512, 2702, 42493, 148346, 37016, 183718, 5, 144754, 6319, 71512, 2702, 42493, 6, 148346, 37016, 84577, 4, 1470, 75230, 21776, 506, 3056, 83066, 133190, 3111 ]

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

[ 1054, 120467, 6255, 6, 129891, 6, 186955, 6, 61397, 29766, 12483, 1470, 54260, 1211, 92500, 8300, 48775, 109985, 6, 101328, 136108, 5, 26612, 18167, 6, 186461, 20033, 230764, 6, 146887, 6319, 75230, 39340, 1285, 42572, 21292, 1470, 75230, 2702, 23269, 29659, 2442, 87442, 4, 20315, 2050, 6, 48775, 7511, 12483, 9424, 7682, 137377, 172398, 7265, 26, 1211, 7213, 151227, 3069, 57619, 25207, 13805, 7682, 54260, 2882, 6, 23173, 54260, 1211, 4151, 6, 50273, 29259, 2882, 39340, 2200, 204982, 205026, 6, 75322, 20260, 12, 71616, 2808, 238144, 15857, 78104, 90848, 32206, 78683, 4231, 29766, 45629, 711, 4151, 9934, 61397, 2702, 203749, 2882, 3373, 75230, 1211, 75903, 13159, 5, 148346, 54260, 564, 54260, 1211, 67882, 24621, 7501, 6255, 1470, 54260, 23269, 2205, 212837, 710, 6, 5, 26612, 4667, 23822, 6093, 4, 36909, 171433, 17645, 7213, 20911, 205026, 4838, 159696, 4484, 22639, 448, 8947, 4944, 12483, 42572, 63188, 5, 6, 5, 2808, 75230, 1054, 20616, 4, 874, 75322, 43178, 54260, 4, 24464, 6, 40633, 49008, 6, 148346, 8580, 6255, 4231, 40096, 4, 168892, 151614, 148346, 42493, 6, 112452, 6, 147713, 64260, 4113, 4, 6255, 6, 148346, 8580, 4838, 6235, 23822, 54260, 139365, 39083, 905, 64260, 5, 168892, 6, 186461, 20033, 4231, 75230, 4667, 6, 54260, 1211, 6319, 75230, 28726, 1470, 33809, 1211, 364, 75230, 148346, 7746, 6, 142429, 33809, 6, 148346, 29060, 48775, 92867, 96986, 905, 120467, 18583, 4838, 14856, 20315, 17645, 66334, 119055, 29060, 230764, 20033, 119055, 23173, 96986, 2808, 75230, 119055, 20616, 874, 75322, 76632, 33809, 1470, 5, 36324, 5, 119055, 5, 4231, 168892, 6, 186461, 20033, 230764, 874, 54260, 1211, 6319, 75230, 28726, 4, 6255, 364, 75230, 1982, 205026, 47833, 10918, 6, 148346, 37016, 44478, 12483, 119718, 120467, 18583, 4231, 4944, 54260, 609, 3373, 26, 88660, 1211, 42572, 33809, 1211, 20033, 119055, 6093, 12483, 2808, 75230, 21776, 506, 5332, 75322, 43178, 54260, 5, 5, 168892, 6, 186461, 20033, 230764, 6, 56052, 6319, 75230, 28726, 2200, 364, 75230, 1982, 205026, 109298, 710, 6, 148346, 16870, 135118, 12483, 12, 905, 120467, 18583, 4838, 6, 222572, 109316, 3373, 26, 905, 29060, 21776, 1644, 12483, 125523, 20033, 5666, 5666, 5, 4484, 148346, 1211, 710, 75230, 21776, 506, 67882, 24621, 96951, 47469, 24621, 16747, 13845, 71070, 36076, 5, 14004, 16, 95766, 3373, 174011, 80885, 1211, 6, 101328, 46244, 3056, 6, 23173, 75230, 2702, 4838, 24012, 6093, 2190, 16803, 23173, 165592, 6, 17645, 159696, 35189, 3496, 174121, 189631, 42572, 5594, 25207, 1211, 6, 109995, 6319, 6, 16747, 165592, 75230, 163139, 73784, 1751, 15662, 2882, 95455, 34654, 16747, 5, 87637, 18225, 37826, 205026, 2205, 41764, 121865, 71616, 710, 25603, 6, 23173, 24295, 23269, 36909, 5594, 33716, 506, 64260, 18225, 6235, 8903, 49008, 4838, 6235, 49268, 710, 12, 6, 80453, 45619, 40096, 1737, 2808, 75230, 4, 6, 148346, 12415, 35189, 20033, 55242, 12483, 3373, 39083, 94741, 96986, 4, 62808, 22753, 49008, 21422, 75230, 96986, 4269, 75230, 2702, 26, 2050, 11211, 16747, 12, 101328, 61621, 4838, 506, 448, 71180, 148346, 12483, 4838, 97995, 9221, 73784, 6, 57277, 96986, 4, 62808, 1054, 171428, 3523, 12415, 12483, 20632, 29259, 2702, 26, 2050, 11211, 16747, 5, 2808, 75230, 4, 199145, 192183, 12483, 20033, 15857 ]

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

[ 12483, 4, 1470, 75230, 4, 48494, 203232, 192183, 12483, 20033, 2442, 21106, 12483, 4, 91163, 151614, 49008, 42572, 6093, 3131, 22426, 710, 21295, 1470, 48350, 6093, 21776, 75386, 12, 2808, 75230, 5, 1285, 6, 5, 116367, 2788, 6, 226112, 2932, 6255, 230764, 874, 71512, 364, 141943, 4, 165592, 75230, 7544, 7265, 10676, 6, 12130, 21422, 1285, 42572, 9221, 1054, 141943, 5, 2808, 75230, 4, 6, 148346, 12415, 35189, 20033, 21923, 3373, 39083, 36609, 96986, 4, 62808, 48494, 200117, 12483, 42572, 6093, 3131, 22426, 710, 21295, 178766, 21776, 15907, 74, 2808, 75230, 4, 6, 148346, 12415, 35189, 20033, 21923, 3373, 39083, 94741, 28320, 4, 62808, 64769, 8580, 9424, 119718, 40697, 1211, 3523, 75230, 2050, 26, 2050, 185182, 2442, 5, 132, 26612, 5, 4838, 29060, 123329, 16, 41600, 92134, 710, 92605, 7508, 9221, 3523, 34533, 6, 112452, 24012, 1644, 39340, 44779, 4, 168892, 49027, 22753, 81444, 4667, 7243, 39384, 12483, 59094, 36909, 29771, 46244, 6, 23173, 12483, 3373, 171433, 710, 12483, 1285, 49008, 2451, 5, 119273, 2205, 6, 109600, 73095, 95064, 2702, 12483, 5, 5, 304, 4484, 26, 32097, 124724, 3523, 34533, 6319, 54260, 1211, 10339, 159696, 4, 87311, 4667, 1285, 4667, 3523, 34533, 1751, 12483, 74, 4484, 75230, 6293, 20033, 1751, 75230, 1211, 4838, 160238, 67826, 159696, 44779, 2451, 168892, 6, 94741, 63020, 3523, 33809, 42572, 171433, 710, 12483, 6235, 42023, 5, 2702, 4852, 75230, 6093, 2205, 2205, 17288, 5, 10069, 71804, 4, 75230, 16667, 6093, 2205, 2205, 657, 54260, 148346, 13845, 4, 4113, 26, 506, 64260, 123736, 4667, 205026, 3523, 33809, 23269, 12130, 49209, 36909, 33809, 1211, 4838, 710, 33809, 23405, 6, 238144, 148346, 13845, 5, 5, 418, 75230, 2702, 12483, 3523, 77188, 6, 23173, 171428, 4, 68313, 364, 75230, 4944, 12483, 6, 76776, 17800, 64260, 18225, 205026, 4838, 9183, 37016, 23269, 4113, 93449, 113889, 4667, 6, 78683, 119718, 78683, 710, 5, 506, 120467, 2882, 33809, 42572, 171433, 17645, 3523, 91275, 4, 36909, 171433, 17645, 4269, 5666, 4958, 36909, 171433, 17645, 3056, 123736, 2932, 24295, 5, 5, 304, 506, 75230, 36419, 710, 6, 1211, 164863, 49008, 5, 95766, 6428, 18279, 148346, 3056, 1470, 5, 29771, 710, 12483, 506, 64260, 5332, 12483, 46711, 4838, 159696, 1211, 8903, 4113, 93449, 238144, 2702, 42572, 710, 11265, 29771, 17645, 5, 506, 120467, 2882, 33809, 42572, 171433, 17645, 4269, 91275, 4838, 5, 36324, 5, 4231, 5, 363, 1982, 26, 18406, 23050, 905, 13159, 12483, 2205, 6, 137218, 137218, 69452, 4113, 4, 506, 29771, 148346, 6255, 74806, 12415, 148346, 12483, 4838, 4838, 710, 159696, 1644, 4, 4484, 177148, 6, 23173, 54260, 1211, 6, 2050, 171433, 17645, 29789, 2702, 1285, 6, 88660, 137218, 125897, 6, 111179, 159696, 710, 5, 506, 120467, 2882, 33809, 4838, 171433, 17645, 4269, 91275, 5, 5, 418, 2865, 54260, 1211, 6235, 75230, 26394, 1211, 2205, 133190, 2702, 12483, 4, 2648, 54260, 21292, 12483, 4838, 17645, 1751, 65482, 7508, 75230, 4852, 201, 63532, 6, 23173, 54260, 1211, 42572, 171433, 17645, 5046, 189098, 1285, 6, 88660, 47709, 175323, 28726, 364, 75230, 104149, 5, 506, 120467, 2882, 33809, 42572, 171433, 17645, 4269, 91275, 5, 27, 758, 4944, 244640, 26, 148346, 8580, 6235, 30473, 26394, 1211, 2205, 220273, 96986 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5666, 75230, 4113, 12483, 76961, 1751, 65482, 6, 148346, 1644, 75230, 37016, 33809, 2702, 2702, 6, 23173, 8580, 42572, 171433, 17645, 12, 168892, 170479, 6235, 42023, 1285, 49008, 5, 506, 29771, 126934, 42572, 171433, 17645, 4269, 91275, 5, 5, 710, 910, 87637, 21295, 6, 12483, 163139, 2702, 12483, 4, 2808, 75230, 148346, 42572, 171433, 17645, 3056, 3944, 2702, 705, 6093, 7213, 20911, 205026, 4838, 159696, 4484, 4, 159696, 1211, 6, 76776, 49209, 119055, 29060, 292, 85465, 175323, 34079, 42572, 171433, 17645, 4269, 91275, 27, 966, 119718, 710, 21295, 6, 12483, 6, 75230, 2702, 12483, 4, 2808, 75230, 1982, 42572, 171433, 17645, 3056, 6, 69181, 6, 1211, 6093, 6235, 506, 2702, 6235, 22426, 33809, 56169, 1285, 6, 73215, 25207, 44779, 4, 165436, 21292, 109316, 6, 68558, 1054, 29259, 2882, 5, 506, 120467, 2882, 33809, 42572, 171433, 17645, 4269, 91275, 5, 5, 418, 87637, 21295, 6, 72321, 6, 121865, 12483, 4, 2808, 75230, 148346, 42572, 171433, 17645, 3056, 4838, 657, 54260, 2882, 705, 6093, 6235, 506, 2882, 6235, 17268, 56169, 10676, 23292, 79761, 4, 10069, 24377, 6093, 2648, 6, 68558, 4838, 220224, 2882, 5, 506, 120467, 49268, 42572, 171433, 17645, 4269, 91275, 5, 27, 1126, 2702, 26, 68313, 34076, 54260, 4944, 244640, 6093, 3069, 31467, 657, 54260, 1211, 4, 7511, 4151, 16175, 9221, 4, 185758, 6093, 3523, 33809, 23050, 42023, 36909, 171433, 710, 13159, 874, 33809, 16747, 9221, 5, 506, 120467, 15231, 657, 239162, 4269, 91275, 5, 710, 5, 963, 2702, 68313, 209967, 6093, 3069, 31467, 657, 54260, 12483, 4, 95766, 4151, 7369, 2648, 4, 185758, 6093, 3069, 34654, 146887, 4, 2808, 75230, 6293, 42572, 171433, 710, 13159, 6, 88660, 170355, 125897, 506, 29771, 126934, 42572, 171433, 17645, 4269, 91275, 5, 27, 1662, 2702, 68313, 115825, 4944, 244640, 6093, 3523, 33809, 212632, 26612, 6, 100863, 29060, 109316, 109198, 3131, 4, 26, 35189, 3523, 33809, 42572, 6093, 46464, 49008, 148346, 54260, 1470, 33809, 65442, 6, 54260, 20315, 1211, 36909, 171433, 710, 13159, 6, 168104, 13159, 5, 506, 120467, 41643, 42572, 171433, 17645, 4269, 91275, 5, 27, 1530, 2702, 26, 68313, 34076, 54260, 4944, 244640, 6093, 3069, 31467, 26612, 6, 148346, 1644, 29060, 109316, 6, 32206, 155, 23829, 54260, 35189, 3069, 8947, 12483, 36909, 171433, 710, 13159, 6, 78683, 36326, 5, 506, 29771, 126934, 42572, 171433, 17645, 4269, 91275, 7999, 5, 1819, 268, 68313, 34076, 54260, 4944, 244640, 6093, 21422, 212632, 26612, 6, 148346, 1644, 13159, 109316, 6, 91740, 2808, 4, 14004, 35189, 3069, 31467, 1285, 49008, 10069, 39384, 56401, 2451, 26659, 5, 506, 120467, 2882, 33809, 42572, 171433, 17645, 3523, 91275, 27, 2592, 2702, 68313, 115825, 92867, 6093, 3069, 31467, 6, 94741, 119718, 49008, 12, 5, 2808, 122623, 71107, 4, 185758, 6093, 3069, 31467, 1285, 49008, 20315, 2050, 143628, 3131, 12483, 6, 167903, 5, 506, 29771, 126934, 42572, 171433, 17645, 3523, 91275, 27, 97024, 16, 418, 13159, 3056, 115825, 4944, 244640, 4113, 3069, 31467, 6, 94741, 171428, 12, 68542, 2884, 15750, 75386, 4, 14004, 35189, 3069, 31467, 1285, 49008, 10676, 7508, 33809, 2702, 40697, 1211, 6, 167903, 5, 5, 304, 13159, 3056, 34076, 54260, 92867, 6093, 21422, 6, 63188, 12483, 1751, 46545, 109316, 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 ]

[ 45629, 4, 2808, 54260, 35189, 3069, 1285, 49008, 1285, 33691, 69855, 506, 5, 5, 363, 13159, 3056, 24012, 92867, 6093, 3069, 31467, 212632, 4838, 1751, 46545, 109316, 6, 32206, 26, 710, 4, 2808, 54260, 35189, 3523, 33809, 42572, 6093, 30473, 4944, 244640, 8580, 1285, 3373, 39083, 2648, 59929, 95564, 6, 78683, 36419, 5, 5, 617, 13159, 3056, 4269, 54260, 710, 44478, 20632, 220224, 1211, 123736, 42023, 364, 141943, 2451, 2808, 54260, 35189, 3069, 119055, 6093, 12483, 42572, 33809, 1211, 42572, 171433, 77820, 4852, 9221, 4151, 39340, 16667, 5, 1644, 13159, 3056, 115825, 92867, 6093, 21422, 220224, 1211, 123736, 42023, 4838, 6319, 137377, 292, 2808, 54260, 35189, 3069, 31467, 8947, 12483, 1470, 75230, 2702, 42572, 171433, 710, 13159, 16175, 137377, 5, 5, 2702, 13159, 9213, 12, 115825, 4944, 244640, 6093, 20632, 6, 109995, 5, 29771, 42023, 4838, 4269, 29771, 4852, 292, 7511, 35189, 3069, 81414, 20260, 12483, 1470, 75230, 2702, 42572, 171433, 710, 13159, 34076, 29771, 710, 5, 36909, 33809, 66293, 10339, 39083, 13805, 2865, 75230, 1644, 5, 966, 13159, 3056, 6, 100863, 54260, 92867, 6093, 18133, 6, 109995, 123736, 42023, 4838, 9424, 98071, 23405, 15, 8300, 17310, 16, 292, 2808, 54260, 2442, 6093, 3523, 33809, 2442, 6093, 12483, 117902, 7511, 150715, 19302, 23174, 5, 132, 710, 111571, 9174, 33809, 14857, 4231, 142429, 74, 16, 98864, 5, 418, 24295, 76866, 13159, 874, 54260, 13845, 4838, 55242, 1644, 59461, 23050, 506, 63532, 4, 68313, 22753, 6, 99611, 119055, 77188, 6319, 54260, 1211, 29434, 63188, 12, 5, 20616, 1211, 4, 6235, 506, 2702, 7369, 2205, 6, 112353, 6, 23173, 54260, 1211, 4, 95766, 10676, 17824, 13159, 96986, 42572, 63188, 5, 5, 304, 159696, 1644, 4944, 244640, 13159, 11211, 5, 13845, 4838, 55242, 1644, 59461, 6, 20616, 36258, 4, 68313, 22753, 42493, 119055, 77188, 6319, 54260, 1211, 6, 148346, 60071, 42023, 8903, 42023, 6235, 506, 2882, 7369, 2205, 6, 112353, 6, 23173, 12483, 4, 119718, 710, 6, 47351, 123736, 13805, 3069, 31467, 4151, 47552, 64190, 5, 5, 363, 30473, 115222, 506, 33716, 7746, 1470, 75230, 2702, 95455, 67826, 148346, 109316, 4, 92500, 7213, 2882, 7746, 6, 23173, 75230, 2702, 95455, 874, 34533, 74, 8903, 42023, 6235, 506, 2882, 7369, 2205, 6, 112353, 6, 23173, 12483, 148346, 142429, 12483, 7746, 2205, 6, 148346, 167673, 5, 63258, 4852, 161459, 9424, 119718, 710, 2205, 4151, 364, 21106, 148346, 6093, 6, 76776, 4944, 244640, 6, 5, 21106, 4113, 14856, 110970, 12483, 620, 29771, 36909, 12483, 12, 62808, 1470, 33809, 1211, 3373, 75230, 6093, 12483, 21422, 8903, 4944, 26612, 4944, 244640, 2882, 5666, 29766, 2205, 48706, 13845, 3056, 123736, 4113, 12483, 5, 5, 966, 26612, 42572, 63188, 6, 148346, 25207, 16667, 292, 25616, 48904, 75290, 657, 176727, 2205, 6, 148346, 29060, 12, 13159, 22753, 26394, 1211, 97995, 54260, 6, 21106, 18415, 564, 172398, 12483, 92500, 22753, 6, 148346, 25207, 4944, 244640, 12483, 7746, 1285, 17288, 4231, 5, 46053, 6, 238144, 49008, 2200, 71180, 12483, 4113, 4944, 244640, 35596, 7746, 1285, 16175, 9221, 12, 4484, 177148, 6, 23173, 54260, 1211, 4838, 710, 17310, 6093, 212915, 4, 95766, 4838, 7508, 183911, 874, 88917, 9221, 5, 5, 617, 25207, 150715, 6, 99611, 6, 23173 ]

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

[ 75230, 2702, 6, 112452, 119055, 29766, 2702, 4, 2808, 33809, 1211, 657, 75230, 159212, 3069, 31467, 6, 109995, 6235, 710, 148346, 18415, 4838, 506, 6093, 148346, 710, 9213, 65442, 6, 54260, 20315, 1211, 36909, 100810, 42572, 39083, 13805, 2865, 75230, 1644, 2451, 5, 8947, 3056, 7265, 124724, 36324, 75230, 620, 4113, 4944, 244640, 2882, 4, 2648, 33809, 3523, 34533, 1285, 4667, 3523, 33809, 20033, 6319, 54260, 1211, 115222, 506, 12415, 5, 758, 159696, 51723, 151614, 126934, 6, 195054, 6, 148346, 2882, 4, 36909, 23173, 42572, 9221, 6, 101328, 46244, 98252, 32, 13159, 12483, 230764, 1285, 23269, 20632, 1470, 75230, 8903, 44779, 92500, 6235, 148346, 230764, 20033, 4838, 6, 98055, 5, 65283, 5, 418, 2451, 6, 159696, 51723, 49027, 12483, 20033, 1285, 49008, 4, 6, 148346, 12415, 35189, 705, 2788, 2451, 10676, 7508, 33809, 2050, 40697, 1211, 6, 133274, 4, 6, 148346, 12415, 35189, 711, 1737, 20315, 2050, 98036, 40697, 1211, 6, 133274, 3056, 24012, 29060, 20632, 2882, 292, 2808, 75230, 4, 7369, 564, 142429, 2882, 7746, 2205, 178766, 6, 148346, 1644, 33809, 2882, 5, 5, 304, 2451, 119055, 10705, 26612, 506, 8580, 42572, 29771, 46244, 12483, 20033, 4, 6, 148346, 12415, 35189, 32, 2788, 2451, 2205, 1285, 7508, 33809, 2702, 40697, 6319, 165592, 23173, 195164, 4, 6, 148346, 12415, 35189, 711, 1737, 95766, 1285, 143628, 36326, 6319, 165592, 23173, 195164, 3056, 3523, 34533, 72577, 155, 2648, 99766, 12483, 81414, 185226, 18225, 7746, 2205, 178766, 6, 148346, 1644, 33809, 2882, 5, 363, 2451, 119055, 2808, 33809, 49027, 12483, 16175, 9221, 3373, 101328, 36909, 12483, 4, 6, 148346, 12415, 35189, 798, 2451, 230764, 6, 75230, 6319, 21106, 18415, 133190, 13159, 4, 6, 148346, 12415, 35189, 711, 1737, 14004, 6293, 1285, 6319, 21106, 18415, 3523, 23173, 13159, 3056, 7243, 20632, 37271, 2648, 99766, 12483, 21374, 506, 21295, 7746, 178766, 6, 148346, 1644, 33809, 2882, 5, 5, 617, 2451, 48494, 203232, 49027, 12483, 20033, 8947, 12483, 4, 6, 148346, 12415, 35189, 705, 2788, 2451, 1285, 42572, 50856, 36909, 54260, 1644, 18415, 121193, 22426, 710, 80885, 4, 6, 148346, 12415, 35189, 711, 1737, 10069, 42572, 6093, 36909, 75230, 1644, 18415, 6, 78683, 172060, 80885, 3056, 24012, 46598, 4269, 33809, 2882, 4, 5, 2648, 99766, 12483, 6, 148346, 65606, 2882, 18225, 7746, 2205, 1470, 33809, 54561, 6093, 6, 148346, 1644, 33809, 2882, 5, 758, 2451, 292, 23173, 1054, 29789, 12483, 119055, 13845, 5666, 20033, 7746, 1751, 203749, 12483, 4, 148346, 12415, 35189, 15, 2882, 2451, 18583, 26, 1211, 143628, 96986, 6, 133274, 4, 6, 148346, 12415, 35189, 711, 1737, 36909, 23173, 26, 1211, 143628, 3131, 12483, 6, 133274, 3056, 7243, 4269, 33809, 2882, 4, 6093, 81414, 185226, 7746, 81444, 4667, 2205, 1470, 33809, 54561, 6093, 6, 148346, 1644, 33809, 2882, 5, 5, 910, 2451, 107824, 26612, 506, 8580, 55242, 1644, 12483, 20033, 42572, 29771, 46244, 12483, 4, 6, 148346, 12415, 35189, 705, 2788, 2451, 21422, 6, 137218, 204403, 7511, 12483, 230764, 6, 112353, 4, 6, 148346, 12415, 35189, 711, 1737, 8300, 33809, 6, 137218, 148346, 171433, 710, 12483, 230764, 6, 112353, 3056, 4269, 34533, 72577, 4, 2648, 99766, 12483, 4269, 34533, 7746, 81444, 4667, 1470, 33809, 54561, 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, 148346, 137119, 5, 2451, 15857, 2882, 75903, 51723, 119055, 29060, 18225, 7746, 1751, 203749, 12483, 6, 148346, 2442, 54260, 6093, 905, 86827, 2451, 6, 189098, 1470, 33809, 54561, 123073, 133519, 4, 6, 148346, 12415, 35189, 711, 1737, 144754, 178766, 4113, 133519, 3056, 7243, 42493, 4, 4852, 54260, 21923, 81444, 4667, 178766, 6, 148346, 137119, 5, 5, 1019, 2451, 6, 33353, 4231, 29060, 18225, 194706, 28798, 148346, 2442, 6, 109995, 4, 78956, 35189, 32, 4, 69829, 2451, 2205, 6319, 21106, 96986, 874, 48904, 50273, 905, 144295, 4, 6, 148346, 12415, 35189, 711, 1737, 95766, 6319, 21106, 96986, 874, 183512, 4852, 50205, 17645, 3056, 3523, 34533, 42493, 4, 2648, 99766, 12483, 3523, 34533, 7746, 6, 90848, 4667, 194706, 4113, 3523, 137119, 5, 5, 1644, 2451, 7265, 21776, 51723, 119055, 29060, 18225, 194706, 28798, 148346, 2442, 6, 8580, 4, 148346, 12415, 35189, 711, 798, 2451, 7265, 6235, 22426, 23847, 18415, 42572, 6093, 2648, 5, 6, 148346, 12415, 35189, 711, 1737, 144754, 23050, 22426, 50856, 18415, 42572, 6093, 2648, 3056, 3523, 34533, 20632, 2882, 4, 4852, 12, 42572, 93497, 51723, 81444, 4667, 178766, 6, 148346, 156822, 5, 132, 710, 5, 6, 97634, 710, 135118, 8580, 4, 3944, 18415, 5, 16, 62155, 26612, 26, 10705, 1982, 5666, 105330, 37826, 194706, 6, 148346, 12415, 35189, 23050, 226112, 36909, 12483, 710, 36909, 2884, 10676, 6, 148346, 2754, 122623, 35044, 69801, 506, 418, 10705, 54561, 6093, 34076, 7682, 151614, 148346, 12483, 20033, 42572, 93497, 1644, 74, 36909, 12483, 4, 29766, 2205, 58571, 63188, 1054, 54260, 617, 5, 10918, 4151, 874, 10125, 25559, 874, 33809, 104149, 20033, 6, 109995, 9721, 54260, 2882, 4, 115398, 1285, 49008, 43649, 186797, 23050, 65848, 4852, 91163, 1285, 49008, 56170, 29434, 54260, 37640, 13497, 6, 148346, 2442, 75230, 2882, 6, 7961, 2808, 75230, 4, 23050, 137218, 50853, 4, 22753, 364, 186955, 18225, 95455, 1470, 75230, 2702, 5, 22426, 30721, 3056, 4838, 17645, 35189, 6093, 6, 128750, 20616, 32792, 4, 92500, 564, 54260, 194706, 3056, 6, 148346, 148346, 151461, 1982, 6, 59929, 66317, 4, 3111, 31467, 4151, 874, 10125, 51437, 4231, 159696, 1211, 124724, 6, 109995, 3523, 166198, 5, 132, 14004, 2882, 36419, 132213, 5, 16, 2947, 5, 418, 117397, 16932, 2205, 4838, 6319, 21106, 18415, 6, 76776, 4944, 244640, 2882, 13342, 1285, 3373, 29771, 30473, 142170, 65146, 6255, 23050, 42023, 12, 26612, 8903, 2702, 188201, 41764, 33809, 54260, 4113, 37826, 205026, 6, 148346, 4113, 8903, 2932, 35596, 4, 95766, 145813, 98071, 2882, 39083, 6, 23173, 29259, 1211, 37826, 18225, 205026, 23050, 3111, 5, 51723, 4838, 10918, 16747, 5, 5, 4113, 95766, 3373, 54260, 2882, 39083, 6, 23173, 8580, 7508, 64260, 18225, 205026, 6235, 5666, 75230, 12483, 4, 95766, 4838, 6, 148346, 29060, 109316, 37826, 18225, 205026, 6235, 28726, 198093, 2648, 119718, 710, 81444, 20911, 75230, 16847, 2205, 4838, 193042, 99611, 23173, 39340, 4, 4852, 29259, 151614, 148346, 12483, 205026, 6, 59461, 29060, 29060, 41764, 33809, 1211, 3373, 75230, 2702, 4, 5, 363, 2442, 40096, 75230, 2882, 36419, 711, 6, 101328, 4, 84475, 3523, 35465, 4, 46598, 3056, 81444, 4667, 20033, 6, 21106, 7611, 22639, 2702, 4852, 2702, 22639, 4113, 3056, 81444, 4667, 20033, 4838, 3373 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12, 42421, 1054, 54260, 1982, 2200, 114955, 4838, 9183, 37016, 13342, 8903, 42023, 5, 5, 617, 56052, 6, 75230, 148346, 3056, 2205, 145813, 15907, 39083, 6, 23173, 164863, 130991, 4, 2808, 75230, 6293, 874, 54260, 1211, 6, 148346, 29060, 109316, 37826, 22753, 7746, 6235, 905, 35596, 23847, 33809, 3069, 31467, 95455, 1470, 75230, 6093, 3069, 31467, 6, 56052, 364, 23173, 26394, 1211, 4, 159696, 16803, 33809, 49920, 12483, 163139, 1285, 44073, 17645, 55242, 56169, 2205, 20033, 5, 22151, 114650, 7511, 64213, 4, 10339, 26612, 148346, 137218, 69106, 5, 16, 65283, 418, 46598, 3056, 6235, 159696, 1211, 132025, 26, 29771, 4113, 4113, 12, 710, 4, 6, 59929, 171428, 4, 35189, 123736, 159696, 5927, 3056, 5, 6, 61397, 12483, 55242, 46244, 1751, 12483, 74, 4, 23269, 114349, 36419, 6319, 75230, 1644, 37826, 205026, 6, 5, 4113, 8903, 8903, 16667, 4, 95766, 145813, 15907, 39083, 6, 23173, 29259, 1211, 42572, 54196, 3373, 12483, 1285, 4667, 4838, 3523, 157245, 5, 5, 304, 168892, 6, 148346, 8580, 2205, 145813, 15907, 39083, 6, 23173, 24295, 130991, 4, 2808, 75230, 6293, 4838, 6, 148346, 29060, 109316, 37826, 18225, 6, 18167, 6235, 147713, 2702, 74, 13982, 29259, 6, 90848, 20911, 75230, 166198, 7265, 4838, 3373, 48904, 15907, 23173, 39340, 4, 4852, 29259, 151614, 148346, 12483, 205026, 6, 61397, 174121, 159696, 2882, 42572, 33809, 1211, 16175, 75230, 2882, 5, 5, 363, 56052, 67882, 24621, 22753, 42572, 29771, 506, 33716, 4838, 159696, 4484, 4, 30473, 6235, 39293, 2932, 35596, 7746, 7265, 20033, 74, 37271, 4852, 5666, 3523, 33809, 42355, 4231, 75230, 6093, 3523, 33809, 6, 56052, 364, 23173, 26394, 1211, 4, 159696, 16803, 33809, 49920, 12483, 6, 75230, 1285, 41764, 55990, 4113, 19302, 71577, 2882, 2205, 20033, 5, 617, 48775, 16932, 29060, 2702, 205026, 711, 6, 101328, 4, 84475, 6, 129891, 4, 2648, 120467, 3056, 16175, 9221, 6, 21106, 7611, 123959, 12, 2808, 29259, 16667, 3056, 20033, 4838, 3373, 142429, 152, 68558, 874, 54260, 1211, 32054, 75230, 2200, 114955, 6, 152848, 39340, 33809, 59461, 1211, 5, 5, 758, 168892, 6, 186461, 20033, 3523, 119718, 21292, 12483, 1285, 6, 218241, 137377, 13159, 4, 25391, 71577, 151227, 12483, 2205, 874, 71512, 1470, 75230, 8903, 1211, 23050, 36909, 1644, 75230, 8903, 1211, 12, 26612, 42572, 93497, 80885, 41764, 55990, 4113, 37826, 205026, 6, 148346, 4113, 8903, 2932, 35596, 292, 25207, 2050, 6319, 137377, 21422, 4151, 7369, 2648, 6235, 8300, 75230, 8903, 1211, 5, 2947, 418, 148346, 54260, 1470, 33809, 54561, 6, 54260, 20315, 1211, 36909, 710, 66293, 6, 2050, 39083, 13805, 2865, 75230, 1644, 5, 2702, 168892, 6, 109995, 6, 109600, 230764, 6, 56052, 42572, 172398, 101608, 4, 95766, 6, 23173, 137377, 6, 98055, 6255, 230764, 4151, 6, 119859, 46053, 168892, 49920, 46440, 12483, 4838, 34654, 114650, 12483, 123736, 25207, 13159, 101608, 4, 51723, 564, 116367, 3496, 75230, 1211, 4838, 159696, 4484, 2205, 9934, 71577, 59929, 5, 5, 966, 168892, 6, 148346, 8580, 6, 23173, 54260, 1211, 2205, 137, 148346, 29771, 710, 155, 6, 130991, 4, 13159, 3056, 6, 61397, 12483, 1470, 165284, 69452, 2200, 4838, 119718, 710, 16747, 74, 10069, 7038, 16932, 7508, 34533, 7746, 3523, 54260, 1285, 364, 29766, 12, 45629, 33809 ]

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

[ 5332, 93449, 6, 12483, 3523, 54260, 1211, 1470, 54260, 5666, 148346, 18640, 192544, 5, 1019, 56052, 364, 75230, 6093, 107776, 3069, 20033, 4, 30473, 163139, 1644, 205026, 6, 186145, 36909, 12483, 1470, 75230, 36909, 26, 1211, 6, 99766, 12, 59461, 4, 4838, 506, 54260, 2050, 4, 67882, 24621, 4, 3069, 31467, 1285, 23269, 114955, 4, 18225, 7213, 20911, 1751, 75230, 1211, 6428, 54260, 1211, 67826, 26394, 207748, 2882, 27, 6, 38331, 5, 56052, 7038, 16932, 79982, 3523, 33809, 6, 109600, 5, 30473, 163139, 1644, 205026, 6, 186145, 36909, 12483, 2190, 54260, 26, 1211, 123736, 32206, 74, 30473, 148346, 12483, 6, 101328, 136108, 4838, 3944, 30750, 75903, 36909, 121709, 3373, 2451, 5, 506, 54260, 13497, 6, 148346, 4113, 2932, 69181, 22753, 205026, 1470, 75230, 36909, 8580, 221067, 1211, 6, 99766, 5, 132, 2702, 17645, 65848, 88660, 75230, 5, 16, 56641, 10069, 657, 48904, 5666, 119055, 29060, 1285, 6, 112353, 125523, 6428, 75230, 6093, 5666, 4, 119718, 710, 6, 71804, 23405, 119055, 29060, 7746, 125523, 95455, 6, 148346, 137119, 36324, 75230, 25222, 36419, 5, 75230, 220440, 7038, 104238, 2702, 10339, 33809, 1211, 23050, 148346, 18167, 6, 148346, 6093, 75230, 6093, 12483, 4, 119718, 120467, 22753, 49920, 12483, 24464, 1285, 123073, 114955, 24012, 95564, 54260, 1211, 17824, 21292, 12483, 75230, 220440, 88037, 27119, 2200, 161048, 15050, 21923, 23050, 1982, 18167, 23050, 148346, 7972, 148346, 4113, 2808, 75230, 6293, 220224, 6093, 21422, 148346, 710, 49008, 17190, 148346, 12483, 74, 51723, 37826, 22753, 1285, 874, 114436, 17953, 16175, 75230, 2882, 6235, 65848, 148346, 12483, 95766, 9934, 12, 151614, 148346, 12483, 1285, 6, 128750, 75230, 12483, 6, 112452, 4269, 2702, 42493, 8903, 8903, 148346, 12483, 54260, 2648, 40697, 4231, 33809, 5666, 8903, 30109, 148346, 9134, 4, 2702, 26, 68313, 1751, 75230, 1211, 230764, 1470, 54260, 4667, 4231, 31177, 127209, 75230, 168892, 151614, 6293, 1737, 168892, 6, 140746, 6, 99611, 6, 112452, 77208, 2451, 54260, 2442, 40697, 15622, 5666, 23269, 30109, 148346, 9134, 5, 168892, 6235, 506, 20033, 2205, 3523, 59929, 4, 49920, 6255, 4838, 17824, 75230, 2702, 74806, 12415, 36909, 2884, 4838, 6, 87311, 48775, 128117, 67826, 24621, 4, 23269, 2932, 90848, 148346, 12483, 4, 905, 39083, 2882, 6255, 17806, 3131, 12483, 1285, 7369, 35465, 35189, 14856, 35189, 37826, 6235, 90848, 21295, 133190, 76961, 151614, 148346, 12483, 292, 165592, 75230, 37826, 7369, 20033, 6, 56052, 17190, 148346, 12483, 42572, 6093, 82576, 21087, 710, 210326, 4113, 4231, 33809, 5666, 23269, 30109, 148346, 9134, 1470, 5, 26612, 5, 9183, 5, 2648, 99766, 22753, 56169, 7746, 6, 218161, 123736, 42023, 4838, 36909, 24244, 4, 92500, 6, 148346, 16870, 75230, 77188, 10676, 166464, 6, 109995, 5666, 54260, 1211, 23050, 148346, 14303, 12483, 13342, 10676, 37826, 7369, 4838, 42572, 20616, 44478, 4, 364, 71616, 2648, 120467, 37826, 7369, 6, 148346, 4113, 104378, 6, 148346, 54260, 7508, 75230, 2648, 112711, 26, 16803, 75230, 6093, 12483, 74, 6093, 37826, 3373, 75230, 1211, 14856, 46244, 220273, 219947, 3069, 31467, 151614, 36909, 12483, 4, 4852, 54260, 1211, 17190, 148346, 12483, 3056, 1470, 30682, 1751, 75230, 1211, 42572, 6093, 12890, 5, 2442, 1644, 104238, 1054, 39083, 2882, 1470, 30682, 1285, 6319, 75230, 1644, 6235, 226112, 36909, 12483, 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 ]

[ 119718, 120467, 16175, 75230, 5666, 9213, 506, 2882, 3373, 26, 28726, 148346, 12483, 4, 36324, 7369, 37826, 7511, 2882, 6, 112452, 42572, 21292, 5, 54260, 2648, 40697, 4231, 33809, 5666, 8903, 30109, 5666, 7511, 2442, 27, 2808, 54260, 2442, 9221, 4231, 127583, 136108, 6, 105515, 9213, 46244, 192544, 7508, 6093, 54260, 506, 12483, 4, 2648, 120467, 6, 88660, 120467, 2882, 22753, 120202, 6, 220440, 106, 18273, 2200, 6235, 119718, 16747, 69031, 7265, 6093, 6319, 68558, 42493, 1470, 54260, 50856, 77525, 12483, 4, 2808, 12483, 4151, 60980, 203232, 6, 105515, 119055, 20616, 9213, 46244, 34654, 16747, 5, 92500, 5332, 12483, 22753, 37826, 1751, 75230, 1211, 4838, 1751, 46545, 109316, 7195, 7758, 4, 4113, 12483, 22753, 37826, 1470, 30682, 1751, 75230, 1211, 6428, 43178, 75230, 8903, 1211, 4, 21066, 33809, 34709, 23174, 23050, 506, 63532, 18225, 1470, 30682, 230764, 4151, 6, 112353, 4, 2808, 30682, 1751, 75230, 1211, 14856, 46244, 42493, 18583, 6, 148222, 54260, 8903, 1211, 5, 710, 62078, 36419, 6, 54260, 5666, 23269, 30109, 148346, 9134, 27, 119718, 710, 6, 71804, 23405, 4231, 29060, 125523, 95455, 6, 75230, 105330, 15907, 5332, 15533, 119273, 9221, 49209, 4, 144754, 9213, 506, 25207, 1751, 23173, 36909, 4113, 81414, 2882, 5, 1982, 54260, 155787, 109316, 6, 48775, 7511, 12483, 6, 105515, 8947, 22444, 14004, 7511, 25207, 1211, 292, 51723, 9424, 71577, 2882, 47833, 22753, 95455, 6, 148346, 167673, 5, 159696, 1211, 119055, 29060, 1751, 75230, 1211, 1285, 42572, 65606, 54260, 2882, 132025, 104378, 5, 92500, 22753, 119055, 29060, 190, 6093, 65848, 148346, 12483, 1285, 70695, 76216, 12483, 5, 22426, 8580, 1285, 42572, 95064, 44478, 119055, 109316, 1211, 132025, 506, 75230, 148346, 12483, 6428, 33809, 24621, 128750, 5594, 54260, 2882, 8300, 33809, 6, 201237, 4, 74004, 33809, 1211, 22753, 119055, 29060, 10676, 24377, 22492, 22639, 31249, 17645, 12483, 5, 54260, 12415, 36419, 4231, 17310, 4113, 30109, 148346, 9134, 47469, 68550, 76632, 49209, 16, 2947, 5, 418, 4484, 33809, 2050, 6255, 20033, 6, 23173, 75230, 6293, 1470, 75230, 152656, 364, 75230, 36909, 109316, 4, 101328, 6, 148346, 15533, 2882, 33809, 20033, 4838, 506, 24295, 130991, 32, 1470, 54260, 16667, 4, 9424, 119718, 710, 4, 29434, 54260, 38, 140746, 6255, 6428, 99766, 4838, 45521, 38054, 109316, 2451, 2808, 75230, 4, 163139, 5332, 12483, 38, 2451, 9934, 171433, 3373, 75230, 1211, 5, 62808, 4, 6, 56052, 6, 238144, 148346, 29789, 33809, 5, 159696, 2442, 95455, 42572, 6093, 2648, 109316, 3056, 32, 2451, 95455, 3056, 4838, 15231, 66317, 4484, 33809, 506, 36909, 33809, 1211, 6, 56052, 3373, 59929, 77928, 5, 2451, 1470, 75230, 119055, 20616, 4, 7544, 66317, 17494, 506, 2702, 15907, 36324, 13845, 107581, 9934, 64260, 4113, 44779, 38, 1737, 5, 304, 81050, 6255, 20033, 6, 23173, 8580, 2205, 67826, 148346, 109316, 4, 14004, 66293, 5, 9424, 119718, 710, 5, 29434, 710, 38, 39293, 506, 6, 54260, 4667, 17288, 183216, 4838, 874, 88917, 9221, 109316, 292, 2808, 75230, 4, 163139, 1751, 12483, 38, 2451, 6, 225975, 1751, 75230, 1211, 20033, 5, 6, 56052, 163139, 148346, 76632, 33809, 4, 159696, 2442, 71612, 88917, 9221, 109316, 3056, 32, 418, 2451, 95455, 3056, 4838, 620, 29771, 128750, 37016, 13845, 36909, 2884, 7508, 54260 ]

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

[ 1211, 6, 148346, 29771, 148346, 13159, 710, 5, 2451, 1470, 75230, 119055, 20616, 4, 4838, 31249, 29771, 128750, 37016, 13845, 144754, 36324, 10813, 92867, 4113, 16888, 7201, 13159, 38, 1737, 363, 8903, 506, 6255, 21422, 4231, 33809, 2050, 6, 147502, 109316, 2808, 54260, 16667, 4, 9424, 119718, 710, 29434, 8580, 39293, 506, 6255, 6, 186461, 12483, 4838, 364, 15907, 109316, 292, 2808, 75230, 4, 163139, 45521, 1211, 38, 2451, 1054, 171433, 1751, 75230, 1211, 83066, 4, 6, 56052, 163139, 148346, 43178, 54260, 5, 159696, 2442, 48494, 203232, 364, 21292, 109316, 3056, 32, 2451, 95455, 3056, 4838, 620, 29771, 36909, 4484, 33809, 22426, 39340, 4, 36909, 2884, 46711, 1211, 6, 2050, 75322, 13159, 710, 5, 2451, 1470, 75230, 4, 119055, 20616, 4838, 620, 29771, 36909, 4113, 29771, 2865, 39340, 144754, 4838, 710, 13845, 30750, 60837, 42733, 12483, 38, 1737, 5, 617, 8903, 506, 6255, 3069, 6, 68380, 163139, 20260, 109316, 4, 14004, 66293, 4, 3523, 119718, 710, 4, 29434, 710, 38, 418, 29400, 6255, 43649, 20616, 12483, 4838, 117902, 2442, 67826, 159696, 44779, 2451, 2808, 75230, 4, 163139, 1751, 12483, 38, 2451, 6, 225975, 1751, 75230, 1211, 20033, 4, 6, 56052, 163139, 148346, 76632, 33809, 4, 159696, 2442, 1285, 67826, 159696, 44779, 21923, 705, 2451, 81444, 2050, 21923, 4838, 117902, 2442, 7544, 66317, 18415, 22426, 4, 69355, 874, 54260, 1211, 874, 75322, 77928, 5, 2451, 1470, 75230, 119055, 20616, 4, 6, 71577, 29766, 6, 2050, 710, 66317, 18415, 22426, 4, 144754, 36324, 13845, 30750, 145813, 29766, 12483, 38, 4958, 5, 758, 23269, 506, 6255, 21422, 73784, 6, 148346, 135118, 109316, 4, 2808, 54260, 16667, 4, 9424, 119718, 710, 4, 29434, 710, 711, 1644, 176727, 7746, 6428, 99766, 4838, 1751, 159696, 38054, 109316, 292, 2808, 75230, 4, 163139, 1751, 12483, 711, 2947, 304, 506, 6093, 3131, 109316, 148346, 710, 1470, 33809, 54561, 6, 63188, 12483, 105780, 2050, 10339, 29771, 116367, 2865, 75230, 1644, 225975, 1751, 75230, 1211, 20033, 4, 6, 56052, 6, 238144, 12, 64769, 8580, 4, 159696, 2442, 95455, 1751, 159696, 38054, 109316, 155787, 32, 2451, 95455, 3056, 4838, 50856, 75230, 2882, 5, 195164, 6093, 4, 69355, 874, 54260, 1211, 874, 75322, 77928, 5, 2451, 1470, 75230, 119055, 20616, 4, 4838, 6, 186145, 101608, 4, 144754, 36324, 13845, 4944, 244640, 4113, 3373, 90848, 50853, 104149, 5, 1737, 5, 2702, 8903, 506, 6255, 3069, 31467, 3069, 31467, 2050, 6, 148346, 4113, 4113, 13845, 2932, 4, 2808, 54260, 16667, 4, 6, 238144, 4, 29434, 54260, 38, 1644, 176727, 7746, 6428, 99766, 4838, 55242, 1644, 59461, 13845, 292, 2808, 75230, 4, 163139, 1751, 12483, 38, 2451, 6, 225975, 1751, 75230, 1211, 20033, 5, 874, 54260, 1211, 6, 238144, 148346, 76632, 905, 4, 159696, 2442, 95455, 55242, 1644, 59461, 13845, 3056, 32, 2451, 95455, 3056, 6, 93704, 171127, 2865, 75230, 2648, 4, 69355, 6, 56052, 874, 75322, 77928, 5, 2451, 1470, 75230, 119055, 20616, 4, 4838, 6428, 171127, 2865, 75230, 2648, 4, 131445, 4838, 905, 13845, 92867, 4113, 9915, 75230, 26394, 1211, 38, 21204, 132, 710, 23173, 5, 2808, 5, 16, 2808, 111885, 81050, 6255, 6, 23173, 54260, 1211, 2205, 1751, 21087, 148346, 109316, 4, 2808, 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 ]

[ 16667, 4, 9424, 238144, 4, 29434, 29259, 38, 1982, 25207, 6293, 6255, 17288, 183216, 4838, 874, 88917, 9221, 109316, 292, 2808, 75230, 4, 163139, 1751, 12483, 38, 2451, 1751, 119718, 50856, 20033, 3069, 4, 874, 54260, 1211, 6, 238144, 148346, 76632, 905, 4, 159696, 2442, 177157, 88917, 9221, 109316, 3056, 32, 2451, 95455, 3056, 8248, 46685, 2451, 2865, 84577, 13845, 4, 36909, 2884, 874, 54260, 1211, 874, 75322, 77928, 5, 2451, 1470, 75230, 119055, 20616, 4, 4838, 8248, 31467, 16932, 1982, 84577, 13845, 4, 144754, 36324, 13845, 4944, 244640, 4113, 60837, 42733, 13159, 38, 1737, 2451, 5, 147, 105946, 8903, 50853, 7972, 35189, 17727, 5, 418, 506, 77188, 205026, 6, 146598, 3944, 5, 4113, 3373, 69916, 4, 119718, 120467, 6255, 119055, 13845, 1470, 54260, 4667, 6, 225975, 12483, 12, 35189, 41764, 54260, 2882, 76776, 26394, 101608, 3056, 6235, 81050, 12483, 4, 105946, 8903, 50853, 189631, 18225, 9424, 29771, 54574, 12483, 5, 2808, 75230, 4, 121943, 8903, 50853, 4, 1470, 75230, 1470, 75230, 1470, 75230, 4, 119718, 710, 4, 121943, 8903, 50853, 2451, 2932, 29766, 142429, 29771, 75230, 2808, 75230, 2808, 75230, 4, 121943, 8903, 15435, 2451, 148346, 29771, 4852, 36419, 6, 90848, 23829, 75230, 4, 121943, 8903, 50853, 3069, 9424, 29771, 54574, 12483, 5, 35189, 7544, 29060, 76776, 17645, 16932, 3056, 4838, 159696, 1211, 4, 35189, 41764, 63188, 16629, 3056, 6, 130991, 1211, 4484, 177148, 6, 23173, 54260, 1211, 7369, 6, 148346, 13845, 506, 148346, 2754, 105946, 8903, 50853, 3069, 6, 2050, 29771, 506, 49008, 5, 2808, 75230, 4, 121943, 8903, 50853, 1470, 5, 36324, 5, 5, 363, 4484, 177148, 7508, 54260, 1211, 4151, 6, 148346, 13845, 506, 148346, 2754, 4, 4852, 35596, 7746, 9213, 148346, 1211, 6, 148346, 48904, 38249, 68313, 42493, 29771, 6319, 54260, 1211, 121943, 8903, 50853, 292, 101296, 4944, 244640, 2882, 7369, 6235, 119718, 21106, 127731, 75230, 4, 121943, 8903, 5, 2648, 5, 27, 617, 3131, 93449, 6, 23173, 54260, 1211, 10676, 224220, 29766, 29171, 4, 144754, 220224, 1211, 4269, 90848, 148346, 12483, 4231, 12483, 4113, 6293, 68313, 42493, 29771, 6, 112452, 121943, 8903, 15435, 292, 23269, 506, 63532, 97995, 3069, 1285, 6, 148346, 13159, 4113, 137218, 2808, 75230, 5, 121943, 8903, 50853, 5, 27, 758, 4484, 177148, 6, 23173, 54260, 1211, 4151, 224220, 29766, 29171, 4, 2702, 36609, 7746, 1470, 75230, 2702, 165592, 8580, 364, 15907, 109316, 74, 68313, 42493, 29771, 6319, 54260, 1211, 121943, 8903, 50853, 292, 21733, 77188, 7369, 6, 68558, 4838, 6319, 119718, 15907, 109316, 5, 2808, 75230, 5, 6, 127732, 8903, 50853, 27, 18, 21733, 2442, 148346, 2882, 7369, 6, 68558, 4838, 6319, 119718, 15907, 109316, 4, 29771, 4, 121865, 12483, 3056, 215031, 163177, 74, 68313, 42493, 29771, 6, 112452, 121943, 195054, 2442, 292, 2702, 26612, 92867, 2882, 7369, 4838, 6, 2050, 148346, 39293, 4113, 94741, 14088, 5, 2808, 75230, 4, 121943, 195054, 27, 4484, 177148, 6, 23173, 54260, 1211, 4151, 224220, 29766, 12, 7682, 144754, 26, 9721, 54260, 96986, 364, 15907, 13845, 68313, 5, 42493, 29771, 6319, 54260, 1211, 121943, 151227, 2648, 292, 21733, 4113, 148346, 2882, 7369, 6, 68558, 6, 92605, 119718, 15907, 13845, 5, 79761, 95064, 50853, 1470, 36324, 1054 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5, 23093, 6093, 133190, 3069, 4, 874, 54260, 1211, 6, 212915, 4, 168892, 119055, 13845, 7508, 9221, 5332, 109636, 2050, 6, 225975, 4113, 26, 26612, 42572, 75230, 6093, 71804, 8903, 163139, 109985, 6093, 4, 292, 5666, 29766, 7508, 17800, 8903, 50853, 3069, 9424, 29771, 54574, 12483, 5, 105946, 195054, 2442, 5, 27, 617, 506, 6093, 133190, 3069, 4, 874, 54260, 1211, 163139, 148346, 109316, 4, 168892, 119055, 13845, 124724, 657, 109636, 2050, 6, 225975, 12483, 4, 26612, 193042, 92867, 17645, 710, 6, 172060, 35189, 163139, 109985, 6093, 292, 5666, 29766, 121943, 151227, 2648, 3069, 31467, 9424, 29771, 54574, 12483, 5, 2442, 17188, 93975, 50853, 27, 758, 905, 120467, 3056, 95455, 2205, 6, 119859, 57619, 12483, 5, 2702, 21087, 148346, 109316, 78104, 2882, 1054, 48904, 49008, 4, 10069, 6319, 33809, 4667, 3056, 3069, 31467, 2442, 39083, 12483, 168892, 151614, 148346, 6, 207591, 2702, 199145, 21422, 88660, 1982, 12483, 74, 13159, 1054, 29060, 7746, 6, 115398, 7243, 657, 75230, 49008, 4, 2442, 1644, 6255, 6, 148346, 54260, 6255, 7243, 25933, 75230, 49008, 5, 105946, 71512, 50853, 27, 8903, 506, 2702, 6, 23173, 75230, 2702, 4151, 23050, 10125, 7511, 4852, 5, 119718, 120467, 37826, 7369, 3069, 9934, 29766, 8903, 1211, 4, 186145, 12483, 1470, 30682, 1285, 224220, 29766, 1644, 54260, 710, 4, 225975, 12483, 220224, 1470, 30682, 12, 72577, 5, 29766, 8903, 1211, 38, 79761, 95064, 50853, 4, 1470, 75230, 1470, 75230, 1470, 75230, 38, 2442, 17800, 8903, 50853, 5, 292, 6, 148346, 29771, 39293, 4113, 6, 101328, 38, 105946, 8903, 50853, 10676, 17288, 35189, 5, 105946, 8903, 50853, 10676, 6, 148346, 13845, 4, 2442, 5, 5, 905, 105946, 8903, 5, 2648, 4, 2808, 75230, 1470, 75230, 1470, 75230, 38, 105946, 93975, 66317, 2451, 148346, 50273, 4113, 6, 87311, 710, 105946, 8903, 50853, 2451, 23847, 127827, 29766, 2808, 75230, 105946, 195054, 2442, 21422, 39083, 12483, 5, 5, 418, 4484, 177148, 6, 23173, 12483, 4151, 26612, 75230, 33716, 4, 144754, 4838, 17824, 75230, 2702, 95064, 71804, 16932, 4, 68313, 42493, 29771, 6, 112452, 121943, 8903, 50853, 292, 2702, 29766, 8903, 1211, 3056, 4151, 4838, 92867, 104238, 5, 105946, 8903, 50853, 1470, 5, 36324, 5, 1054, 27, 304, 4484, 177148, 6, 23173, 8580, 4151, 163139, 33716, 4, 144754, 4838, 17190, 6093, 6093, 364, 183512, 4852, 2947, 363, 148346, 710, 1470, 33809, 54561, 4231, 33809, 25207, 1211, 36909, 905, 66293, 10339, 39083, 13805, 2865, 75230, 17410, 8580, 42493, 29771, 6, 112452, 121943, 8903, 50853, 292, 36909, 6093, 4484, 75230, 6293, 6255, 1470, 54260, 4667, 1285, 193042, 23269, 5, 105946, 8903, 50853, 5, 27, 363, 4484, 75230, 2050, 6, 23173, 54260, 1211, 4151, 55242, 171433, 26394, 4, 30473, 2702, 4838, 4269, 90848, 148346, 12483, 6, 105235, 165354, 74, 68313, 5, 76776, 6, 112452, 121943, 8903, 15435, 48775, 63020, 6255, 6, 23173, 75230, 2702, 1285, 6, 148346, 29060, 12483, 5, 105946, 8903, 15435, 27, 617, 4484, 177148, 6, 23173, 12483, 4151, 224220, 29766, 29171, 4, 144754, 26, 1211, 6, 148346, 2442, 54260, 12483, 364, 15907, 13845, 74, 68313, 42493, 29771, 6319, 54260, 1211, 121943, 8903, 50853, 2451, 21733, 43178, 6255, 6255, 6319, 119718, 15907, 13845, 5, 105946, 151227, 2648 ]

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

[ 47469, 119718, 163177, 29771, 208182, 4, 657, 41731, 4852, 5, 194, 418, 4484, 33809, 63532, 6, 23173, 54260, 1211, 4151, 6, 148346, 13845, 506, 148346, 2754, 4, 23269, 506, 36258, 6, 23173, 137377, 1285, 14764, 71577, 4113, 74, 14004, 46244, 6, 36723, 76216, 21295, 6, 109600, 42493, 6, 112452, 121943, 195054, 2442, 2451, 226112, 2932, 6255, 4838, 121865, 1285, 213909, 71577, 4113, 5, 2808, 75230, 4, 121943, 8903, 50853, 10676, 220273, 142429, 29771, 119718, 2808, 75230, 4, 2808, 75230, 4, 121943, 8903, 50853, 10676, 3373, 3131, 59929, 26612, 119718, 2808, 75230, 4, 2808, 75230, 4, 121943, 8903, 50853, 10676, 6, 148346, 13845, 506, 148346, 2754, 4, 2808, 75230, 4, 121943, 195054, 2442, 874, 33809, 4852, 18225, 9424, 29771, 54574, 12483, 38, 304, 4484, 54260, 2882, 19532, 54260, 1211, 4151, 6, 148346, 13845, 506, 17312, 4, 95766, 4151, 11211, 16747, 6, 226112, 98833, 7369, 4838, 26394, 18415, 1644, 74, 14004, 46244, 44917, 76216, 21295, 20033, 42493, 6319, 54260, 1211, 121943, 8903, 50853, 2451, 59919, 4484, 75230, 6293, 6255, 1470, 54260, 4667, 95455, 23050, 175221, 5, 75230, 4, 105946, 93975, 50853, 2648, 220273, 142429, 29771, 119718, 2808, 75230, 2808, 5, 26612, 119718, 905, 5, 363, 4484, 33809, 63532, 6, 23173, 12483, 4151, 6, 148346, 13845, 506, 148346, 2754, 4, 144754, 26, 1211, 4269, 90848, 148346, 12483, 6, 148346, 54260, 4944, 244640, 13845, 74, 14004, 46244, 6, 36723, 76216, 21295, 20033, 42493, 6319, 54260, 1211, 121943, 195054, 45629, 33809, 1211, 9213, 46244, 6, 88660, 92867, 2702, 7746, 4838, 137218, 4944, 244640, 13845, 38, 2808, 75230, 4, 121943, 8903, 50853, 10676, 220273, 142429, 29771, 119718, 2808, 75230, 27, 617, 4484, 75230, 2050, 6, 23173, 54260, 1211, 4151, 6, 148346, 13845, 506, 148346, 2754, 144754, 124724, 6235, 2932, 39083, 16932, 6, 87311, 38054, 12483, 14004, 46244, 6, 36723, 76216, 21295, 20033, 42493, 6319, 54260, 1211, 121943, 93975, 1644, 93509, 7682, 6255, 1470, 54260, 4667, 6319, 26, 2702, 3131, 99766, 33809, 38, 2808, 75230, 4, 121943, 8903, 50853, 220273, 142429, 127827, 2808, 75230, 5, 27, 758, 4484, 177148, 6, 23173, 54260, 1211, 4151, 6, 148346, 13845, 506, 148346, 2754, 4, 92500, 37826, 3069, 20033, 6, 134727, 12, 14004, 46244, 6, 36723, 76216, 21295, 20033, 42493, 6319, 54260, 1211, 121943, 8903, 15435, 4, 225975, 6255, 12, 1285, 121943, 6, 8580, 874, 54260, 23269, 5, 132, 7972, 18415, 16, 2451, 76, 481, 2442, 29060, 161829, 12483, 5, 2808, 75230, 148346, 12483, 68558, 4, 105235, 506, 2882, 4838, 151614, 42023, 12, 8300, 238144, 21374, 126968, 2702, 17288, 183216, 5, 13982, 68558, 4, 21106, 4113, 97816, 30109, 20616, 2882, 7369, 6, 68558, 90295, 165592, 54260, 61397, 16, 13159, 6, 119273, 7243, 6319, 54260, 1211, 3947, 76179, 850, 92500, 6, 225975, 2882, 3523, 12890, 20308, 705, 132, 165592, 54260, 61397, 16, 29771, 2932, 6, 136108, 77188, 8947, 7746, 4838, 68550, 2205, 43649, 33809, 148346, 54260, 6, 76776, 40920, 43649, 20616, 2882, 8947, 2205, 163139, 20260, 13845, 705, 132, 26612, 6, 148346, 48350, 46598, 16, 119718, 710, 16888, 4, 119718, 710, 6, 47351, 1470, 54260, 4, 12483, 17806, 20911, 4151, 75230, 6293, 4, 3056, 8947, 43649, 186797, 9424, 238144, 32, 5, 27, 39, 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 ]

[ 5, 15, 26612, 506, 21106, 148346, 12483, 6, 94741, 4667, 6, 94741, 63020, 18225, 364, 88917, 77188, 7213, 47526, 12483, 4, 94741, 63020, 18225, 3069, 4838, 6, 119859, 57619, 12483, 32, 132, 2932, 29766, 219947, 16, 2451, 59690, 36909, 21292, 364, 15907, 8947, 42572, 9221, 4, 92500, 2205, 7243, 6319, 54260, 1211, 95094, 38, 13159, 37826, 1470, 75230, 4667, 42572, 16870, 53414, 292, 92500, 3056, 3523, 34533, 6319, 54260, 1211, 42572, 75230, 195054, 705, 132, 26612, 36076, 13159, 37826, 7243, 6319, 54260, 1211, 6, 131445, 2200, 8947, 48706, 77188, 4, 13159, 37826, 7243, 6, 112452, 6, 124470, 2451, 609, 1470, 33809, 1211, 8947, 4231, 29060, 4, 13159, 11211, 1470, 75230, 6093, 12483, 6, 2884, 8947, 6, 93497, 3523, 34533, 292, 132, 5, 156104, 26394, 16, 17727, 95766, 6, 189098, 12483, 67882, 24152, 48706, 20616, 2882, 4838, 14856, 110970, 4, 905, 12483, 18225, 204982, 1470, 30682, 2819, 56976, 5, 13845, 16011, 2050, 292, 2865, 54260, 13497, 7369, 5, 132, 26612, 147582, 101296, 1126, 16, 95766, 7265, 12483, 67882, 24152, 43649, 20616, 2882, 4838, 874, 43178, 95494, 2884, 1211, 7508, 75230, 4944, 244640, 77188, 3373, 2702, 186797, 705, 132, 26612, 6319, 75230, 51723, 16, 60978, 148346, 2442, 166464, 3056, 8947, 7508, 54260, 6293, 5, 92500, 24012, 4151, 6, 76776, 4944, 244640, 2882, 292, 4838, 620, 54260, 6293, 705, 905, 26612, 10339, 59929, 37016, 16, 905, 17727, 30473, 148346, 2932, 4269, 118439, 448, 2205, 1470, 54260, 1211, 67826, 148346, 13845, 92500, 76961, 151614, 148346, 12483, 21776, 2050, 55242, 1644, 148346, 12483, 186046, 4667, 32, 132, 26612, 6, 95494, 4944, 244640, 18415, 1644, 21422, 166968, 13845, 89930, 4852, 71577, 21106, 4484, 13159, 4, 3496, 159696, 30750, 44779, 16, 55102, 2702, 75230, 39293, 16747, 118439, 448, 2205, 1470, 54260, 1211, 6, 119859, 33716, 13845, 32, 132, 26612, 6, 148346, 54260, 2882, 167048, 75230, 16, 506, 6093, 3131, 109316, 7511, 1470, 33809, 54561, 4231, 33809, 20315, 1211, 36909, 33809, 66293, 10339, 39083, 13805, 2865, 75230, 1644, 63258, 953, 16, 714, 16, 98594, 17824, 75230, 36419, 6, 148346, 42695, 448, 192183, 12483, 9424, 238144, 19302, 71512, 7243, 1470, 75230, 36909, 26, 1211, 42572, 13845, 2648, 43649, 20616, 2882, 4838, 6, 212915, 292, 6319, 54260, 1211, 42572, 139365, 25207, 4944, 244640, 6093, 2205, 3056, 6235, 148346, 88917, 12483, 4, 35189, 101328, 8903, 1211, 32, 6, 5, 17645, 6, 101328, 46244, 19302, 54260, 4852, 2882, 7369, 7746, 6, 68558, 5, 6319, 54260, 1211, 65902, 127731, 33809, 1211, 3056, 6235, 59461, 2882, 4, 132, 26612, 1054, 29771, 8903, 1211, 16, 15, 26612, 3523, 75230, 2050, 16, 75230, 2200, 364, 120467, 6, 148346, 28726, 16932, 5, 132, 26612, 148346, 9221, 16, 73419, 36909, 9221, 14856, 110970, 12483, 6, 101328, 8903, 1211, 7746, 1470, 33809, 1211, 6, 101328, 8903, 1211, 7746, 4838, 42572, 13159, 109316, 42572, 186955, 6, 23173, 137377, 24464, 6, 94741, 4667, 2200, 92500, 6, 88660, 12483, 7746, 7243, 3496, 244640, 71577, 12483, 32, 119055, 77188, 3069, 31467, 148346, 90848, 4944, 244640, 12483, 4, 2200, 8947, 3056, 7243, 29771, 6, 112452, 6, 202075, 1438, 16, 148346, 6093, 59461, 230764, 4151, 75903, 15907, 1054, 120467, 1054, 39083, 8947, 192183, 12483, 163139, 2702, 6235 ]

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

[ 1211, 2702, 4, 132, 26612, 1054, 29771, 8903, 1211, 16, 3069, 31467, 25207, 4944, 244640, 2882, 67882, 4944, 244640, 12483, 3131, 119718, 23173, 7611, 42572, 6093, 3131, 80453, 54260, 2882, 4, 10705, 107182, 14088, 105884, 2882, 8947, 705, 132, 47351, 1470, 29259, 16, 62155, 101328, 17824, 32097, 16, 13159, 6319, 33809, 63532, 3069, 31467, 42572, 116793, 12483, 123736, 42023, 42572, 7972, 195054, 4, 13159, 3373, 75230, 77188, 123736, 42023, 21422, 195054, 4, 952, 16, 16667, 55242, 56169, 7746, 4838, 7511, 35189, 123736, 42023, 6, 124470, 5, 5, 609, 119055, 6093, 6, 226112, 98833, 220224, 12483, 15622, 55823, 4113, 13159, 705, 1751, 3117, 92500, 8947, 6235, 506, 2882, 4838, 905, 37016, 123736, 42023, 42572, 21292, 32, 657, 174121, 6293, 4838, 657, 174121, 6, 5, 2451, 132, 26612, 21422, 69801, 304, 92500, 6319, 54260, 1211, 3523, 64260, 3056, 7243, 29771, 705, 132, 117260, 51421, 26612, 11211, 22426, 18415, 1644, 30109, 75230, 2882, 16, 89647, 60978, 2808, 54260, 59461, 6235, 506, 2882, 2205, 22753, 148346, 12483, 15622, 55823, 17645, 51437, 4113, 4944, 244640, 6093, 11211, 4838, 364, 75230, 4852, 4, 119055, 6093, 8947, 16175, 33809, 2882, 9213, 506, 2702, 133190, 1470, 75230, 2702, 292, 1702, 16, 7511, 35189, 98071, 2932, 163139, 4838, 874, 75230, 4852, 4, 6, 80264, 6, 238144, 49008, 5, 130170, 1054, 120467, 6093, 564, 75230, 2050, 22753, 56169, 4838, 151614, 4852, 4, 30473, 2702, 1285, 3069, 75290, 4, 119055, 12483, 8947, 21776, 2932, 35596, 705, 7511, 16932, 163139, 4269, 21106, 32, 15, 26612, 21422, 148346, 109316, 51421, 2808, 33809, 13497, 6093, 4838, 3523, 59929, 12483, 51421, 26612, 34654, 1211, 16, 77671, 95766, 4838, 115222, 44478, 185182, 98833, 4838, 10339, 71804, 4944, 244640, 18415, 4, 496, 16, 59741, 364, 141847, 21338, 13497, 18583, 90848, 2702, 657, 75230, 159212, 151614, 4852, 2205, 119055, 21106, 2442, 6, 23173, 54260, 1211, 292, 46598, 6, 119273, 163139, 4838, 6, 92867, 6093, 2442, 4, 81414, 159212, 2200, 6, 226112, 15907, 3373, 5, 5, 9934, 75230, 6093, 5, 3373, 54260, 364, 41595, 6093, 2819, 92500, 37826, 1470, 75230, 8903, 1211, 163139, 4838, 42572, 6093, 2648, 4, 2200, 81414, 39340, 16667, 6319, 54260, 5666, 2865, 39083, 7243, 1470, 75230, 2702, 6, 1211, 119718, 15350, 4151, 1054, 21106, 2648, 6319, 33809, 63532, 3523, 54260, 28320, 92500, 55242, 506, 2882, 6, 92178, 26, 1211, 6, 75230, 2442, 13845, 292, 165592, 75230, 163139, 7265, 1285, 1470, 75230, 8903, 1211, 32, 15, 26612, 3069, 23405, 16, 3069, 11265, 2702, 51421, 26612, 6, 148346, 7972, 16747, 42572, 6093, 2648, 16, 82839, 1936, 16, 26612, 25603, 127684, 55242, 506, 2882, 8947, 123736, 159212, 4, 18583, 905, 120467, 6319, 75230, 159212, 1470, 138763, 4838, 657, 109226, 6, 105235, 165354, 32, 63258, 4838, 6319, 54260, 168155, 132, 36909, 23173, 6235, 119425, 16, 2808, 75230, 36909, 26, 1211, 42572, 13845, 2442, 43649, 20616, 2882, 4838, 10339, 48904, 109316, 4, 2200, 4269, 64260, 21374, 5666, 2865, 39083, 7243, 705, 92500, 6, 75230, 39340, 21295, 7746, 4, 132, 4852, 54260, 16667, 97594, 4944, 244640, 12483, 16, 92500, 163139, 39340, 21295, 6, 9221, 4, 92500, 163139, 39340, 21295, 7746, 2181, 42572, 1644, 54196, 123736, 42023, 42572, 7972, 195054, 4, 4484, 54260, 5666 ]

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

[ 90848, 710, 7243, 230764, 705, 3373, 5, 710, 8947, 7508, 75230, 77188, 123736, 42023, 21422, 195054, 4, 122623, 16175, 174121, 16667, 119055, 42023, 2200, 3056, 7243, 34654, 1211, 97995, 159696, 2442, 32, 8947, 17190, 98833, 7746, 163139, 72649, 23173, 4, 710, 25616, 75230, 2882, 16, 92500, 8947, 8947, 20616, 2882, 1470, 75230, 6, 75230, 4838, 6, 76776, 61621, 132, 29257, 6, 21106, 54260, 1211, 51421, 5, 117260, 16, 17748, 418, 506, 6093, 3131, 109316, 119959, 2451, 6, 225975, 42572, 24295, 6293, 119055, 6093, 16932, 7265, 42572, 24295, 6293, 6319, 33809, 12483, 6, 12130, 171433, 506, 75230, 2932, 38, 2451, 19302, 71512, 114955, 6319, 5, 5, 165354, 6319, 54260, 23269, 6319, 33809, 22426, 39340, 17645, 4667, 5, 65283, 2451, 6, 225975, 6, 129891, 119055, 6093, 16932, 7265, 3523, 29259, 1211, 33960, 17017, 12483, 6, 148346, 54260, 2050, 171433, 12415, 5, 32, 2451, 4269, 64260, 6, 29060, 6235, 54561, 4, 23050, 54561, 6235, 49008, 17824, 9183, 12483, 4, 6, 158699, 148346, 1470, 54260, 1211, 4231, 33809, 25207, 1211, 51723, 6235, 148346, 1211, 6235, 50853, 5, 120840, 2451, 6, 225975, 42572, 905, 36909, 26394, 42023, 119055, 6093, 16932, 7265, 42572, 33809, 36909, 26394, 42023, 6, 32206, 12483, 1982, 54260, 2050, 132025, 506, 75230, 5, 418, 2451, 6, 56052, 66846, 124470, 1211, 57689, 24621, 16747, 13845, 7265, 6, 156325, 2007, 850, 11851, 26, 5, 36419, 6, 80146, 4, 9719, 16747, 13845, 67882, 4944, 244640, 12483, 83066, 7265, 29771, 2932, 6, 148346, 6093, 1644, 7265, 2882, 54260, 6093, 12483, 5, 7916, 16667, 42572, 39083, 13805, 2865, 75230, 71804, 21320, 6093, 46050, 4944, 244640, 2882, 6, 23173, 75230, 6293, 1470, 33809, 1211, 43649, 87442, 6, 23173, 54260, 1211, 4, 2808, 33809, 1211, 6, 59461, 36258, 6, 23173, 75230, 2702, 1470, 33809, 1211, 1751, 218241, 13845, 2882, 120202, 2808, 33809, 1211, 46050, 4944, 244640, 2882, 6, 23173, 137377, 32, 132, 92605, 905, 54260, 135118, 20616, 2442, 6093, 4, 7972, 21087, 76776, 4852, 2702, 194, 71512, 53805, 64260, 12483, 5, 2451, 4838, 6, 47351, 2442, 6, 205416, 7511, 29060, 8248, 49008, 6, 112452, 29434, 63188, 5, 2451, 56170, 119718, 120467, 32, 190, 2451, 6, 75230, 1644, 4838, 29434, 63188, 3056, 17806, 149364, 292, 56052, 6319, 33809, 149364, 67882, 4944, 244640, 2882, 18225, 4838, 42572, 141943, 13845, 15, 90848, 50856, 13845, 247, 95766, 4838, 106, 141943, 13845, 6, 88660, 4944, 244640, 2865, 18225, 42572, 13456, 292, 36909, 13456, 6, 88660, 4944, 244640, 2882, 18225, 230764, 4838, 9934, 609, 29338, 2808, 33809, 1211, 4838, 6, 148346, 42695, 6, 205416, 7243, 2205, 6, 109995, 151614, 148346, 12483, 6319, 54260, 1211, 77756, 33809, 5927, 4, 6, 75230, 1644, 3373, 26, 68313, 4838, 22753, 16747, 5, 10461, 2451, 6, 71804, 15529, 120467, 6235, 506, 2882, 6, 47351, 6, 29766, 9221, 47351, 9213, 148346, 6093, 1285, 16175, 9221, 12483, 32, 2808, 33809, 1211, 6, 233364, 2702, 126968, 2451, 14004, 148346, 53414, 119055, 59929, 6093, 705, 4852, 39083, 1285, 6319, 40096, 126968, 6235, 42023, 1470, 54260, 6093, 1285, 16175, 9221, 12483, 4, 2808, 33809, 1211, 7508, 6093, 123736, 12415, 212915, 9213, 148346, 6093, 26, 1211, 1054, 23173, 6093, 32, 6, 7961, 1054, 12483, 4838, 6319, 40096, 126968 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6235, 240863, 12483, 9213, 148346, 6093, 1285, 16175, 9221, 12483, 4, 119055, 39083, 2882, 18225, 22753, 2808, 75230, 36909, 8903, 92867, 71577, 2882, 5, 92500, 1054, 12483, 6, 47351, 123736, 12415, 212915, 119055, 39083, 2882, 6235, 240863, 12483, 9213, 148346, 53414, 119055, 59929, 6093, 4, 1054, 29771, 15907, 1470, 30682, 29766, 23174, 89184, 49008, 2205, 1285, 1751, 18167, 5, 17727, 2451, 6, 71804, 136108, 120467, 43649, 20616, 2882, 4838, 151614, 42023, 18583, 4151, 6, 65442, 36326, 152848, 1470, 33809, 1211, 4838, 123822, 1211, 2451, 36909, 23173, 1211, 39384, 41731, 32, 4852, 39083, 4151, 123822, 1211, 6, 80885, 42023, 186046, 4151, 6, 158969, 141943, 32, 2808, 33809, 1211, 4151, 151614, 42023, 18583, 26, 1211, 62784, 705, 2451, 1054, 39083, 2865, 7508, 6093, 123822, 1211, 74806, 57277, 49008, 18583, 4151, 6, 65442, 36326, 152848, 4, 119055, 39083, 2882, 7369, 3523, 29259, 37271, 148346, 905, 10705, 5, 5666, 65577, 155, 6, 23173, 137377, 8903, 36909, 21106, 12483, 5, 92500, 119055, 39083, 2882, 4151, 151614, 42023, 6235, 29060, 2882, 49008, 18583, 26, 1211, 62784, 4, 119055, 39083, 2882, 7369, 7265, 1285, 42572, 710, 34076, 12483, 1285, 3944, 4944, 244640, 2882, 1470, 75230, 2702, 13845, 120467, 12483, 5, 238144, 1644, 7369, 6319, 68558, 2451, 163139, 36324, 75230, 4151, 88660, 13497, 18225, 9424, 119718, 40697, 1211, 4838, 6319, 40096, 126968, 1470, 33809, 1211, 4838, 6319, 64260, 86733, 95766, 1054, 26612, 104238, 705, 2451, 18225, 3523, 13159, 2702, 6, 148346, 2442, 75230, 2882, 2200, 18225, 67882, 4944, 244640, 2882, 65902, 8903, 6319, 54260, 39340, 44779, 1470, 33809, 1211, 18225, 1054, 23173, 36909, 2702, 13159, 22753, 4838, 39340, 8903, 1211, 12, 3373, 119718, 15907, 2882, 7369, 21422, 1470, 33809, 1211, 3496, 244640, 71577, 2882, 4, 2205, 2181, 4838, 6319, 64260, 86733, 1751, 119718, 15907, 2882, 22753, 3523, 33809, 17537, 42572, 71577, 2882, 4, 3056, 8947, 4838, 6319, 40096, 126968, 5, 17727, 2451, 18225, 6, 225975, 2882, 4838, 102323, 12984, 10676, 17824, 13159, 96986, 6, 186461, 12483, 32, 2451, 119055, 12483, 7369, 163139, 1644, 5, 966, 2451, 6255, 6, 225975, 118692, 6, 68558, 4, 36324, 18225, 170479, 132025, 4852, 239162, 1211, 192544, 64310, 83182, 4, 18225, 170479, 5666, 54260, 2702, 7213, 2702, 12483, 6319, 54260, 1211, 22444, 107829, 8903, 6, 23173, 148346, 13159, 1470, 75230, 152656, 6, 94741, 4667, 5, 5, 2451, 18583, 119718, 120467, 2451, 1054, 2451, 1644, 220224, 6319, 39083, 53414, 7746, 6, 23173, 137377, 5, 17727, 2451, 5332, 12483, 6, 220440, 2050, 6, 48904, 6, 21106, 16932, 6, 212915, 4, 1054, 120467, 37826, 6, 112452, 2205, 9424, 29771, 42023, 7243, 2205, 874, 75230, 1644, 2451, 36723, 76216, 1211, 29659, 23173, 26394, 1211, 705, 159696, 1211, 4838, 506, 33809, 16747, 4269, 21292, 1470, 30682, 4838, 6, 99611, 38, 1126, 16, 2451, 7265, 6, 60071, 6235, 506, 2882, 4838, 77756, 1211, 95455, 200795, 874, 39083, 3069, 31467, 4151, 3523, 10125, 2451, 6, 203326, 1285, 42572, 21292, 5, 2702, 12183, 148346, 710, 1470, 33809, 54561, 4231, 33809, 20315, 1211, 36909, 33809, 13497, 42572, 39083, 13805, 2865, 75230, 1644, 101080, 31467, 13159, 12483, 174332, 850, 5, 50258, 132, 36909, 2884, 6, 71577, 33809, 16847, 222907, 16, 2451, 20632, 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 ]

[ 1285, 19302, 27570, 4, 199145, 6, 56052, 6, 212915, 200284, 20033, 6235, 8903, 49008, 4, 6, 148346, 8580, 6255, 6255, 25093, 31467, 710, 5, 105514, 27, 133190, 95455, 4, 95455, 7369, 22518, 54260, 2882, 230764, 20033, 12, 1751, 46545, 13982, 5, 5, 4484, 4, 5332, 46545, 78104, 127134, 4, 6, 148346, 29060, 6255, 2808, 54260, 4667, 4, 9213, 46244, 170479, 2882, 6255, 2205, 10676, 6, 23173, 24295, 147713, 12483, 5, 1662, 38, 2451, 72577, 6, 87311, 48974, 5666, 4, 6235, 28726, 4838, 25207, 18415, 4667, 6, 49268, 171433, 6255, 5, 2451, 17806, 3131, 20033, 2205, 364, 27, 609, 5, 2451, 874, 54260, 1211, 6, 212915, 37826, 2181, 3944, 148346, 5, 55102, 48904, 123736, 12415, 212915, 37826, 7746, 6235, 4484, 203749, 2882, 18583, 41764, 2702, 3149, 18583, 220224, 1211, 4231, 133814, 4, 10676, 99535, 2442, 12, 2451, 874, 54260, 1211, 6319, 137377, 364, 186955, 8947, 7243, 1470, 75230, 2702, 38, 22753, 83182, 16932, 19024, 60639, 151614, 148346, 6255, 2200, 6, 150715, 8903, 506, 2882, 125523, 215031, 6, 54196, 4, 1470, 33809, 1211, 6255, 6, 148346, 8580, 2384, 21295, 16562, 4269, 39083, 4113, 5, 7961, 21776, 4944, 244640, 12483, 20033, 1470, 75230, 2702, 4, 7508, 120467, 1285, 6428, 23173, 36909, 16803, 6, 21106, 7611, 4, 119055, 13845, 6255, 1470, 75230, 36909, 49268, 710, 148346, 12483, 2451, 39293, 56169, 7746, 4151, 99535, 2442, 4838, 7511, 35189, 2200, 23050, 506, 63532, 1285, 6, 148346, 1644, 54260, 36419, 35189, 2205, 1211, 7508, 183512, 5, 35189, 123736, 12415, 51723, 364, 120467, 7746, 4151, 128750, 20616, 2882, 4, 6235, 2865, 54260, 16667, 2451, 26612, 13754, 2442, 4, 119055, 29060, 7369, 18330, 710, 28714, 9213, 506, 69452, 8903, 148346, 12483, 6, 21106, 218710, 4, 1470, 33809, 1211, 6, 139449, 1470, 75230, 2702, 25207, 4944, 244640, 23269, 5, 2451, 874, 25605, 2451, 26612, 4944, 244640, 2882, 7508, 33809, 148346, 1644, 4, 1751, 18167, 2451, 26394, 42023, 4, 46855, 148346, 97584, 2451, 8300, 119718, 26612, 109985, 4, 42572, 7972, 2702, 2200, 213909, 292, 2702, 29771, 36909, 13845, 2451, 105780, 6293, 4, 6319, 75230, 54574, 12483, 2451, 2808, 54260, 1211, 7508, 33809, 7511, 4, 124724, 95064, 50853, 2451, 22426, 9221, 2808, 33809, 57619, 119718, 26612, 109985, 6, 238144, 1211, 2451, 8300, 119718, 710, 12, 22426, 24295, 6293, 2808, 33809, 1211, 8300, 119718, 183512, 18640, 4, 6, 148346, 2702, 4667, 2451, 6, 64260, 4, 36324, 75230, 2451, 101296, 4944, 244640, 2882, 4151, 3523, 109600, 10676, 3373, 4667, 506, 171665, 1644, 2451, 14004, 56169, 151614, 16803, 33809, 1470, 54260, 1211, 19024, 29400, 4, 45629, 33809, 23050, 1982, 2702, 18225, 4838, 40920, 10705, 5666, 36909, 905, 36909, 147455, 7508, 33809, 148346, 1644, 2200, 42572, 24295, 22426, 10705, 57619, 506, 183512, 18640, 6319, 137377, 7682, 13159, 1470, 33809, 1211, 2451, 51437, 116174, 16932, 1644, 151614, 40920, 33809, 7243, 3069, 31467, 9934, 29766, 8903, 1211, 5, 63258, 8300, 33809, 1470, 54260, 119132, 4, 364, 59929, 37826, 6235, 94741, 159696, 13497, 2205, 6, 8632, 710, 117902, 2442, 6, 124470, 46590, 8580, 4, 6319, 33809, 16803, 3069, 31467, 22639, 6093, 95766, 7265, 12483, 10676, 6, 94741, 119718, 49008, 2200, 6428, 13159, 11265, 2702, 4, 7369, 170479, 1470, 30682, 6, 148346 ]

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

[ 29766, 49008, 1285, 221895, 22426, 23173, 6, 124470, 46590, 8580, 5, 2451, 8947, 3056, 81444, 4667, 25093, 31467, 24295, 75230, 124470, 2050, 21292, 84977, 79981, 2451, 36909, 6093, 35596, 36909, 93497, 7746, 4151, 6, 94741, 119718, 61397, 5, 2451, 20632, 4, 6, 148346, 15533, 4151, 25093, 31467, 69689, 31467, 2050, 364, 29060, 6, 23173, 54260, 20260, 33809, 96986, 4, 119055, 13845, 6255, 151614, 148346, 12483, 6, 71804, 23405, 4, 137377, 8903, 48775, 159696, 13497, 5, 65283, 52, 21106, 16175, 119718, 92605, 4, 115825, 3149, 4, 1470, 98071, 4852, 4838, 874, 39083, 6, 130991, 73784, 25093, 31467, 710, 26, 2200, 1470, 30682, 6235, 8903, 49008, 22426, 167673, 13845, 710, 16583, 5, 4151, 25093, 31467, 5, 710, 3056, 36324, 3131, 24464, 1470, 30682, 120202, 8903, 3131, 80453, 109226, 74, 2451, 18133, 78104, 119859, 7611, 22639, 6093, 711, 163139, 42572, 21106, 73215, 124724, 1470, 75230, 2702, 123736, 2050, 905, 113889, 710, 12483, 1285, 6, 148346, 29766, 2648, 4, 8947, 26, 80885, 506, 1982, 81444, 4667, 93205, 60071, 12, 6, 22151, 4484, 149625, 6, 21106, 4231, 138763, 905, 27, 2442, 7511, 2451, 35596, 710, 93497, 4151, 6, 69181, 119718, 92605, 3496, 244640, 710, 186145, 2451, 168892, 151614, 148346, 6235, 2865, 41595, 17824, 29766, 42572, 6093, 125897, 506, 33716, 4, 1470, 75230, 148346, 4151, 21776, 2932, 16175, 3056, 23050, 148346, 75230, 25207, 1211, 6235, 119718, 29766, 12483, 123736, 42023, 6, 5, 6, 5, 29766, 13982, 23173, 6293, 7369, 3373, 57277, 30750, 710, 75230, 4667, 123736, 42023, 4838, 6, 148346, 29766, 2648, 5, 2451, 2190, 5666, 4838, 119718, 98071, 2451, 170355, 98833, 1470, 30682, 4151, 25093, 31467, 98071, 2451, 148346, 15533, 41643, 54745, 4667, 6235, 710, 75230, 25207, 1211, 6235, 119718, 29766, 12483, 2205, 5666, 54260, 42023, 1470, 75230, 4667, 4, 18583, 119718, 120467, 6, 212484, 2702, 33809, 124724, 3523, 54260, 2882, 6, 23173, 75230, 49268, 54260, 12483, 1285, 3523, 5, 42023, 32, 2451, 6, 101328, 4, 25093, 31467, 710, 4, 9213, 46244, 22753, 2702, 6235, 198754, 5, 133190, 199145, 3373, 121865, 9213, 46244, 230764, 4151, 133190, 2648, 25391, 15907, 193042, 39340, 230764, 1285, 9424, 54260, 42023, 27, 62155, 2451, 18583, 90848, 2702, 43649, 20616, 2882, 163139, 13497, 6093, 230764, 34654, 42572, 43178, 82576, 6, 148346, 75230, 46685, 2451, 6, 238144, 1644, 4, 119055, 12483, 4151, 25093, 31467, 74197, 3131, 28726, 75230, 2050, 37826, 6, 148346, 13159, 26612, 36909, 12483, 1285, 6, 159696, 21295, 4, 37826, 7369, 8903, 2702, 71577, 12483, 6, 48904, 26, 4113, 13845, 148346, 75230, 2050, 4, 37826, 7369, 6235, 225975, 2882, 12, 230764, 124724, 119055, 29060, 18225, 67882, 4944, 12483, 4838, 6, 148346, 2442, 4944, 4, 3111, 45629, 40026, 364, 72321, 74, 1470, 33809, 1211, 36324, 75230, 37826, 7369, 6, 148346, 4113, 95494, 36909, 12483, 76961, 2442, 7972, 564, 75230, 46685, 5, 4852, 171428, 6, 130991, 1285, 6, 54260, 39083, 2648, 148346, 710, 46685, 7265, 4838, 6, 134727, 6, 68380, 25093, 74197, 31249, 71107, 12, 163139, 29771, 4852, 75230, 119055, 109316, 1211, 20033, 151614, 148346, 12483, 4838, 506, 7682, 2884, 32, 506, 64260, 22753, 4269, 120467, 3069, 8903, 225975, 2702, 12, 36324, 163139, 13497, 6093, 4, 119055, 12483, 4838, 6, 128750, 33809, 46685, 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 ]

[ 54260, 2648, 119055, 29060, 4838, 506, 54260, 2050, 1644, 54260, 12483, 2200, 119055, 29060, 7746, 6, 48904, 88945, 68959, 21660, 12483, 212632, 2205, 119055, 29060, 6, 225975, 12483, 12, 6, 195054, 75230, 148346, 2882, 3056, 4269, 64260, 119055, 29771, 5, 13159, 3056, 119055, 23173, 21292, 4, 119055, 29060, 9213, 46244, 6, 94741, 87311, 21295, 151614, 148346, 12483, 4838, 33960, 112452, 5, 9213, 148346, 6093, 6428, 37271, 2882, 6319, 33809, 51723, 163139, 13497, 89184, 5, 6, 148346, 75230, 16932, 2200, 43649, 109316, 1211, 7746, 2205, 41764, 43178, 40920, 119425, 5, 55242, 506, 12483, 22753, 4, 36324, 8947, 119055, 23173, 21292, 4, 6, 61397, 12483, 6, 170355, 15435, 4838, 159696, 4484, 5, 3056, 123736, 148346, 6093, 6319, 186955, 4, 43649, 20616, 12483, 220224, 36324, 75230, 6, 101328, 23405, 5, 6, 148346, 15533, 18225, 364, 31623, 23093, 148346, 2702, 17824, 1211, 5, 60978, 159696, 1211, 1285, 6, 159696, 75386, 3056, 23050, 137218, 36909, 12483, 6235, 119718, 29766, 12483, 4, 37826, 4269, 120467, 23050, 57277, 36909, 12483, 47833, 3069, 80453, 5594, 6093, 1285, 212053, 47833, 4151, 113889, 4667, 10676, 14856, 110970, 74, 119055, 12483, 4269, 64260, 37826, 6, 148346, 79238, 71577, 12483, 364, 33809, 50856, 4, 8947, 6093, 6235, 22680, 4113, 98833, 6, 148346, 4269, 120467, 12, 2451, 199145, 119055, 13845, 6255, 6, 80264, 230764, 7508, 6093, 6, 159696, 75386, 32, 506, 64260, 1470, 30682, 4269, 64260, 6235, 172398, 36909, 77188, 12, 2451, 119055, 119273, 151614, 148346, 12483, 230764, 7508, 9221, 364, 23173, 4, 199145, 119055, 29060, 1285, 4667, 1751, 203749, 12483, 4, 119055, 12483, 6428, 231836, 40920, 3523, 34533, 6, 113889, 122868, 12483, 1470, 33809, 1211, 4151, 7201, 23173, 119055, 13159, 21087, 120202, 28726, 67873, 1285, 6, 148346, 29259, 59461, 130170, 1211, 6, 147502, 47833, 159696, 16803, 24012, 1644, 12483, 5, 2451, 163139, 220440, 119055, 13845, 6255, 36324, 75230, 17190, 148346, 12483, 705, 30473, 148346, 4113, 54260, 2932, 6, 101328, 46244, 2451, 215031, 364, 41595, 13456, 17190, 148346, 12483, 38, 4231, 23173, 20033, 3056, 6235, 3111, 2932, 42572, 33809, 710, 26394, 42023, 2451, 4113, 119718, 26612, 109985, 4231, 29766, 4, 2451, 506, 64260, 4151, 22444, 16747, 7746, 6, 239162, 148346, 29060, 12483, 5, 2451, 42493, 292, 37826, 4269, 64260, 18330, 12130, 6235, 159696, 1211, 2200, 6, 148346, 13159, 26612, 36909, 12483, 292, 6093, 2648, 5, 2451, 199145, 119055, 13845, 6255, 6, 80264, 4269, 32097, 4151, 6, 159696, 75386, 32, 37826, 95455, 45521, 38054, 6235, 905, 25207, 2932, 2702, 5, 2451, 119055, 119273, 620, 4113, 109636, 1211, 4838, 119055, 29771, 8903, 1211, 2205, 46050, 8903, 1211, 6235, 2702, 203749, 12483, 7265, 4838, 42493, 3131, 292, 172398, 5, 36909, 77188, 2181, 4269, 120467, 5, 2451, 2205, 163139, 220440, 119055, 13845, 6255, 657, 171428, 32, 292, 37826, 95455, 42572, 6093, 2648, 163139, 35189, 6235, 128750, 172398, 5, 2451, 22753, 23269, 54260, 2932, 6, 101328, 46244, 2451, 215031, 42572, 6093, 166198, 6, 44478, 12483, 38, 3056, 18583, 20033, 6235, 3111, 2932, 9424, 119718, 48904, 54260, 2932, 36909, 24295, 6293, 17537, 5666, 75230, 5666, 54260, 2451, 2442, 64260, 95455, 42572, 6093, 2442, 7746, 6, 120467, 8903, 148346, 29060, 12483, 5, 2451, 119055, 2451, 90848, 2702, 4269, 64260, 6235, 905, 29771 ]

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

[ 13497, 1470, 33809, 1211, 6235, 95494, 36909, 12483, 4838, 123822, 1211, 5, 2451, 199145, 119055, 13845, 6255, 3120, 230764, 4151, 6, 159696, 21295, 32, 292, 37826, 7369, 4269, 120467, 6235, 128750, 4113, 98833, 5, 2451, 119055, 119273, 6235, 42023, 1470, 63020, 76961, 9560, 15050, 2205, 3523, 77582, 26, 1211, 2205, 24377, 54574, 6, 159696, 63849, 76961, 13458, 49008, 6, 75230, 99766, 12483, 230764, 124724, 292, 146887, 6, 94741, 75230, 23269, 905, 4, 124724, 119055, 29060, 6, 75230, 1211, 72577, 2200, 119055, 2808, 75230, 1644, 34654, 1211, 6, 5, 43178, 1211, 15435, 23269, 710, 2451, 2442, 33716, 11265, 2050, 4269, 64260, 6, 93238, 35596, 2702, 77188, 92500, 163139, 220440, 6, 159696, 11265, 95455, 33718, 54260, 4231, 76632, 32, 292, 2442, 64260, 4151, 47658, 11265, 2702, 23269, 50856, 4, 2932, 5, 2451, 22753, 23269, 147455, 6, 101328, 710, 2451, 35596, 710, 93497, 1470, 30682, 4269, 120467, 4, 165066, 506, 89184, 29789, 76632, 22639, 4852, 6, 54260, 20315, 1211, 41643, 66293, 117902, 1644, 13805, 11556, 54260, 2451, 3373, 6, 15533, 163139, 7511, 5666, 5, 25093, 74197, 5, 31249, 166617, 2702, 38, 292, 37826, 4151, 123822, 1211, 7746, 23050, 1982, 13159, 12483, 292, 3131, 135118, 20033, 125523, 6, 29060, 7972, 4944, 244640, 4113, 6, 101328, 46244, 5, 17537, 119055, 48904, 12483, 37826, 4269, 64260, 6235, 88660, 13497, 23050, 506, 51723, 125523, 6, 101328, 46244, 12483, 4, 37826, 7369, 1470, 30682, 120202, 23269, 5, 23269, 148346, 12483, 10676, 364, 88917, 2882, 7265, 10676, 6, 59919, 30979, 6, 101328, 46244, 12483, 5, 4151, 2702, 23173, 4, 119055, 12483, 123822, 1211, 657, 172398, 120202, 194885, 30473, 148346, 21660, 18640, 6, 101328, 46244, 57906, 2882, 89727, 163139, 11211, 16747, 2200, 129165, 16803, 163139, 4838, 45521, 38054, 5, 29257, 16, 26612, 4231, 39083, 3056, 6235, 905, 35465, 4838, 17824, 75230, 101608, 123736, 12415, 212915, 4, 7369, 37826, 1157, 13845, 17171, 7243, 6235, 506, 40096, 40096, 29771, 2932, 9213, 25603, 29025, 33809, 28726, 148346, 12483, 1470, 33809, 1211, 3056, 6235, 4852, 13159, 12483, 4231, 216995, 1054, 55687, 2200, 155231, 6235, 159696, 1211, 895, 176368, 506, 5, 13845, 58697, 4, 163139, 4269, 64260, 37826, 6235, 148346, 64260, 12483, 5, 75230, 87637, 20760, 4, 1470, 54260, 1211, 6, 128750, 54260, 15231, 2932, 4, 8947, 3056, 7243, 6235, 159696, 1211, 7265, 199145, 1751, 148346, 609, 21422, 67882, 4944, 244640, 12483, 506, 64260, 95455, 163139, 2932, 1470, 30682, 4838, 75230, 2702, 8903, 65848, 148346, 12483, 12, 170479, 7369, 6235, 15388, 2205, 48706, 64260, 6, 23173, 28320, 364, 183512, 1644, 12483, 26632, 49268, 119055, 29060, 7746, 4269, 64260, 46711, 124470, 2050, 42355, 1470, 33809, 1211, 1470, 30682, 6, 90848, 4667, 5332, 22426, 13159, 3069, 31467, 7213, 165354, 230764, 1751, 148346, 609, 6428, 16667, 7758, 3069, 4151, 506, 21106, 96986, 5, 35189, 6, 29766, 54260, 47351, 3056, 4838, 159696, 4484, 3120, 4151, 364, 448, 7265, 4838, 42572, 6093, 94114, 77188, 364, 23173, 7611, 4, 7243, 26612, 14303, 6, 159696, 8903, 1211, 4151, 6, 80453, 124873, 4, 133190, 6, 159696, 8903, 1211, 6, 148346, 15907, 33809, 1644, 105687, 506, 74, 199145, 7508, 5, 2702, 25093, 31467, 6, 212484, 2882, 1470, 30682, 7511, 16803, 22444, 96986, 5, 2808, 75230, 152656 ]

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

[ 75903, 2932, 37826, 7369, 6, 148346, 4113, 8903, 2932, 35596, 874, 70375, 26, 1211, 5, 2451, 874, 120467, 3523, 138455, 39384, 13159, 4838, 119718, 710, 6, 44478, 148346, 29771, 98833, 705, 292, 42572, 25207, 98833, 1470, 30682, 874, 70375, 4, 2200, 7369, 6, 99611, 96256, 75230, 2702, 18583, 1470, 14004, 506, 2702, 23050, 148346, 4113, 4667, 220224, 1211, 45495, 6093, 6, 148346, 710, 16932, 364, 23173, 7611, 5, 2451, 34654, 1211, 7243, 874, 54260, 1211, 8248, 31467, 42023, 2451, 65848, 2702, 2702, 9213, 506, 2702, 874, 70375, 2451, 2648, 29771, 151614, 16803, 33809, 4838, 55242, 39340, 1644, 47833, 87311, 2702, 1285, 119055, 119273, 119055, 109316, 1211, 4, 119055, 29060, 124724, 95455, 55242, 39340, 1644, 6235, 148346, 12483, 1470, 33809, 1211, 1470, 75230, 148346, 8947, 12483, 122780, 2568, 7972, 13982, 1211, 159696, 2882, 124724, 6, 148346, 54260, 4852, 16175, 33809, 1211, 4, 170479, 16803, 33809, 6, 225975, 12483, 12, 55242, 39340, 1644, 23050, 56417, 1470, 30682, 38, 292, 119055, 29060, 8947, 1470, 30682, 41764, 54260, 1211, 13342, 23269, 124470, 96986, 5, 35189, 123736, 12415, 212915, 37826, 6235, 3111, 31467, 51723, 95455, 55242, 39340, 1644, 1470, 33809, 1211, 37826, 22753, 23269, 6, 101328, 46244, 12483, 120202, 8903, 28726, 148346, 2882, 95766, 15750, 25391, 1470, 33809, 1211, 2205, 110573, 28317, 4, 77756, 33809, 5927, 6235, 101296, 4944, 244640, 2882, 114955, 1470, 33809, 1211, 192544, 2451, 16580, 83182, 2808, 33809, 1211, 21374, 5666, 2865, 39083, 42572, 33809, 1211, 6, 112452, 6, 89930, 1470, 33809, 1211, 41764, 33809, 1211, 6, 97925, 6, 13720, 58758, 4269, 34533, 6235, 119718, 10705, 16803, 5, 6, 121865, 15289, 4231, 49268, 8580, 75230, 1982, 13159, 292, 165592, 4838, 710, 33809, 2648, 119055, 77188, 21776, 4667, 5, 42572, 6093, 8903, 16803, 7369, 6, 68558, 6, 21106, 7611, 2181, 3056, 3373, 75230, 1211, 6, 48904, 31249, 18415, 104038, 292, 7369, 37826, 42572, 6093, 8903, 2702, 12483, 6, 68558, 18330, 5594, 26, 1211, 3069, 31467, 1211, 4838, 220440, 33809, 6, 68558, 212632, 37826, 7369, 1470, 75230, 5, 36909, 6093, 8903, 2702, 12483, 5, 36909, 23173, 26, 1211, 43649, 23173, 148346, 12483, 37826, 7369, 6235, 506, 21292, 12483, 1285, 23269, 4231, 142144, 2702, 1054, 18225, 170479, 1470, 30682, 95455, 39293, 39340, 1644, 7265, 8903, 148346, 12483, 2205, 6, 228605, 6, 23173, 29259, 1211, 292, 8947, 170479, 1470, 30682, 7508, 174121, 905, 12483, 10339, 33809, 1211, 874, 44779, 506, 86270, 5, 10069, 114955, 151614, 148346, 12483, 8947, 1470, 30682, 3069, 31467, 7972, 148346, 6235, 2882, 33809, 1211, 2205, 1054, 12483, 4151, 41545, 4667, 506, 86270, 37826, 2808, 30682, 6, 139449, 42572, 25207, 8903, 1211, 2451, 74680, 1751, 18167, 705, 506, 64260, 7369, 7243, 6235, 172398, 710, 77188, 2205, 23050, 6093, 93975, 1211, 4231, 2451, 6, 212484, 205026, 6, 104985, 77525, 711, 6255, 151614, 148346, 205026, 5332, 75230, 1211, 6235, 3111, 31467, 2932, 132025, 8903, 7972, 96986, 230764, 6, 56052, 7972, 148346, 4113, 5, 35189, 41545, 4667, 506, 2648, 75230, 506, 37826, 9213, 506, 2702, 132025, 6093, 7243, 120202, 8903, 2702, 25207, 96986, 1470, 33809, 1211, 5950, 7611, 70845, 14004, 148346, 6093, 8903, 128750, 4113, 98833, 81444, 2882, 1470, 54260, 2932, 65482, 6, 113889, 4944, 75322, 39083, 1470 ]

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

[ 33809, 1211, 6, 113889, 4944, 75322, 39083, 2451, 74680, 3373, 67283, 705, 292, 35189, 4231, 33809, 2648, 3056, 6, 148346, 15533, 6235, 905, 29766, 12483, 2205, 6235, 8903, 49008, 4838, 74806, 12415, 152, 2451, 55242, 39340, 1644, 4, 23050, 56417, 1470, 30682, 711, 292, 95766, 6, 148346, 21106, 2648, 3056, 4151, 3373, 17410, 4667, 506, 29257, 51437, 6, 23173, 155, 1211, 2205, 55242, 39340, 17410, 75230, 1982, 12483, 4, 2205, 364, 52480, 13845, 4, 42572, 20961, 26, 1211, 110573, 96743, 506, 148346, 61722, 4, 3056, 6235, 4852, 13159, 12483, 7508, 6093, 4269, 48904, 89930, 6, 17312, 8580, 620, 73095, 506, 1470, 33809, 1211, 6235, 159696, 33716, 1470, 75230, 7201, 26, 1211, 16175, 17410, 4667, 506, 86270, 7265, 220224, 1211, 193012, 192956, 2884, 7508, 71577, 99766, 6, 5, 5666, 29766, 55242, 43178, 215206, 4, 36324, 7369, 6319, 33809, 56169, 5332, 22426, 13159, 3523, 34533, 364, 41595, 3069, 31467, 6, 63188, 23050, 29659, 710, 82576, 97816, 4, 37826, 35189, 25093, 31467, 9416, 5, 35044, 2648, 73697, 4838, 90848, 150020, 13159, 93449, 10676, 41545, 4667, 5, 2451, 710, 148346, 69859, 22753, 2702, 26, 1211, 6, 38054, 8300, 4667, 2932, 39248, 710, 69859, 4, 220224, 21106, 12483, 6235, 75230, 29766, 2442, 1054, 6093, 18406, 5, 6, 74004, 33809, 4151, 16175, 17410, 4667, 5594, 2442, 31529, 3056, 6, 29400, 23174, 4113, 12483, 5, 4852, 54260, 6319, 33809, 51723, 3523, 33809, 6, 68380, 6, 228605, 1470, 33809, 1211, 6, 148346, 2442, 171428, 10676, 6, 54260, 2648, 12, 25933, 33809, 4151, 874, 23829, 4667, 506, 134464, 68313, 292, 6, 35596, 149364, 2882, 7369, 22753, 7243, 4, 6, 212484, 12483, 22753, 1470, 30682, 7243, 120202, 6, 113889, 4944, 75322, 39083, 1470, 33809, 1211, 6, 113889, 4944, 12483, 2882, 39083, 2451, 159696, 33716, 4231, 114436, 6, 148346, 15533, 2200, 204982, 6235, 89184, 2451, 55242, 39340, 1644, 4, 23050, 56417, 1470, 30682, 38, 68313, 7508, 6093, 41545, 4667, 9719, 4944, 14081, 19532, 54260, 1211, 2205, 55242, 39340, 1644, 5, 119718, 710, 4151, 41545, 4667, 67223, 117997, 37826, 8947, 4151, 39293, 42023, 3056, 7369, 6, 23173, 75230, 6293, 2205, 364, 52480, 13845, 6, 23173, 8580, 2808, 33809, 1211, 9213, 148346, 6093, 8903, 8903, 148346, 12483, 95455, 10676, 6, 148346, 2754, 122623, 620, 6, 98683, 5, 8300, 75230, 2702, 12483, 6, 148346, 2754, 122623, 620, 6, 98683, 3056, 6235, 4852, 13159, 12483, 18330, 65405, 2205, 37826, 7746, 6, 148346, 26612, 15435, 54745, 2451, 87311, 506, 13497, 4, 36324, 95455, 37826, 7369, 4838, 874, 39083, 4838, 710, 33809, 2442, 9213, 148346, 6093, 8903, 35596, 2702, 77188, 4838, 905, 26612, 55242, 39340, 1644, 5, 1470, 33809, 1211, 7369, 37826, 4, 4113, 3111, 51723, 4151, 1644, 75230, 148346, 76632, 2702, 2200, 3056, 6, 186955, 1211, 6, 23173, 137377, 3069, 2702, 15622, 2442, 23050, 90848, 136108, 7508, 6093, 12483, 5, 35189, 217284, 37826, 1470, 30682, 123736, 148346, 6093, 1751, 75230, 1211, 3523, 34533, 4151, 88660, 13497, 2205, 7265, 4231, 13159, 4, 874, 120467, 18225, 13982, 77188, 1470, 30682, 6, 148346, 3149, 66293, 10676, 6319, 137377, 37826, 7369, 6235, 8903, 148346, 12483, 4838, 61397, 710, 12, 2451, 55242, 39340, 1644, 4, 23050, 33809, 2050, 1211, 2451, 92500, 18330, 5594 ]

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

[ 3056, 1470, 75230, 4667, 6, 23173, 8580, 2205, 55242, 39340, 1644, 5, 36909, 33809, 1211, 6, 94741, 87311, 21295, 6, 68558, 6, 176727, 95836, 5594, 2205, 55242, 39340, 1644, 2205, 6319, 68558, 3523, 34533, 6, 104378, 5, 63258, 2808, 75230, 152656, 6, 21292, 16011, 37826, 6235, 47709, 54260, 13497, 4838, 710, 23173, 141943, 23173, 4, 5332, 37826, 6235, 506, 40096, 4838, 5, 14004, 8903, 1211, 364, 62763, 31467, 4113, 4, 4838, 6, 175483, 13845, 4838, 6093, 2200, 6235, 506, 40096, 32054, 124873, 6, 148346, 12415, 15662, 2205, 6, 148346, 148346, 104985, 34671, 5, 3056, 7369, 7746, 8903, 4852, 13159, 12483, 657, 48904, 8903, 9424, 54260, 2882, 564, 111179, 119055, 148346, 2200, 3523, 34533, 6235, 506, 40096, 6, 112452, 114955, 4, 37826, 7369, 4151, 7201, 33809, 1211, 17824, 75230, 2702, 6, 89930, 6235, 506, 40096, 5, 75230, 87637, 16976, 2702, 4, 230764, 4151, 895, 16932, 37826, 9213, 506, 2702, 4269, 64260, 56040, 171665, 506, 6235, 159696, 1211, 7265, 4838, 6, 97634, 4944, 16932, 4, 37826, 18225, 22753, 6235, 506, 15907, 7544, 4838, 22492, 54260, 2932, 2205, 6319, 137377, 4, 22753, 1470, 75230, 111137, 506, 29771, 35189, 21295, 230764, 151614, 7511, 5, 92500, 41764, 33809, 16932, 4, 3056, 22753, 1470, 75230, 2702, 8903, 48775, 13805, 12483, 6, 112452, 6, 148346, 8580, 506, 25207, 4838, 4231, 99176, 33353, 4, 73095, 39340, 1470, 54260, 23269, 2205, 35189, 4269, 48904, 89930, 6, 118809, 5, 36324, 22753, 3056, 6235, 4484, 33809, 51723, 3069, 31467, 6, 101328, 46244, 12483, 4, 95455, 22753, 6235, 506, 39083, 109636, 1211, 10676, 7201, 64260, 6093, 2205, 6, 109636, 50853, 112216, 20315, 1211, 6, 148346, 506, 20635, 102830, 905, 5, 75230, 87637, 20760, 4, 34654, 92867, 2882, 7746, 4838, 874, 39083, 4, 7508, 6093, 6, 148346, 1211, 6, 145146, 3056, 6, 23173, 75230, 2702, 230764, 705, 8903, 17645, 2932, 2200, 506, 64260, 6, 16932, 119718, 239162, 21295, 3120, 75903, 2932, 4, 37826, 7369, 4151, 39293, 42023, 95455, 7544, 5, 13845, 1470, 75230, 7201, 26, 1211, 6, 148346, 13845, 2442, 4, 3056, 9934, 5, 2808, 30682, 55242, 46244, 6235, 2882, 4, 1644, 12483, 4, 37826, 7369, 6235, 4484, 33809, 51723, 60631, 4484, 3069, 31467, 9213, 46244, 4, 21422, 6235, 12415, 96986, 4, 6, 23173, 137377, 42572, 33809, 1211, 16932, 2442, 1470, 33809, 1211, 7746, 6, 113889, 4944, 8903, 22680, 4113, 98833, 9721, 9213, 46244, 12, 7508, 6093, 22753, 3056, 32, 2451, 6428, 13159, 217284, 2702, 81444, 4, 2205, 4151, 1982, 54260, 14004, 8903, 1211, 364, 75230, 4852, 292, 364, 120467, 22753, 1470, 30682, 17288, 36909, 44779, 48904, 61397, 710, 104149, 5, 6093, 3056, 6, 110317, 89184, 96986, 4, 6235, 119718, 29771, 46244, 6, 61397, 29766, 12483, 1470, 32097, 10676, 15622, 2442, 4, 1470, 33809, 1211, 6, 148346, 4113, 36909, 75230, 1644, 12483, 1751, 148346, 609, 22426, 23173, 76776, 40920, 4, 1470, 30682, 1285, 6, 97634, 4944, 16932, 22753, 23269, 3069, 15857, 165354, 2205, 112216, 1644, 47351, 6, 98594, 1211, 5, 75230, 7508, 6093, 67826, 61397, 110573, 710, 6, 54260, 20315, 1211, 4, 3056, 1470, 75230, 152656, 364, 75230, 4852, 132025, 8903, 36909, 21106, 12483, 4838, 46711, 75230, 6093, 7265, 59461, 8580, 292, 1054, 120467, 6319 ]

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

[ 68558, 1054, 15388, 6, 145146, 119055, 109316, 1211, 24464, 4838, 4231, 33809, 75230, 36419, 6, 97634, 4944, 16932, 32, 7369, 34654, 1644, 9934, 5, 148346, 51437, 101296, 56170, 4838, 6, 148346, 54260, 2932, 4, 3523, 34533, 1470, 75230, 2702, 238197, 170479, 8947, 6, 109995, 5, 506, 64260, 7746, 4151, 6, 23173, 141943, 23173, 6, 158652, 54260, 2050, 6, 61397, 12483, 6, 148346, 21106, 2648, 6, 148346, 4113, 25222, 49008, 6319, 114436, 170479, 7243, 18415, 4113, 12483, 2205, 6, 23173, 37016, 73784, 25093, 31467, 710, 364, 53805, 24244, 45495, 14081, 8009, 506, 6, 109995, 5, 35189, 25093, 31467, 710, 37826, 7746, 3523, 34533, 6, 71804, 23405, 78104, 54343, 6, 59461, 12483, 12, 2451, 6235, 506, 4838, 364, 54260, 2050, 292, 37826, 7369, 1470, 30682, 132025, 8903, 225975, 2882, 292, 1470, 33809, 1211, 67882, 4667, 4838, 1751, 148346, 609, 4, 4838, 80453, 20616, 149010, 4667, 163139, 76961, 2442, 39083, 5, 1470, 33809, 1211, 292, 18415, 1644, 4838, 17824, 75230, 2702, 6, 125830, 39083, 35596, 4, 7369, 170479, 220224, 1211, 4838, 6, 148346, 21292, 13845, 2702, 204403, 25207, 119718, 2442, 161459, 4, 6, 75230, 4269, 8300, 159696, 506, 5666, 32792, 5, 2200, 55242, 4, 36324, 42355, 117902, 4944, 104238, 1054, 142429, 8947, 12483, 1285, 6235, 506, 6093, 3111, 31467, 6, 109995, 4, 199145, 6, 148346, 20616, 2442, 3056, 6235, 101608, 292, 19532, 1211, 223779, 2442, 1470, 33809, 1211, 133190, 19532, 1211, 223779, 4, 22753, 6235, 506, 2882, 2648, 29771, 4667, 5332, 22426, 13159, 7746, 117902, 2442, 80885, 1644, 12483, 18583, 1211, 46855, 4944, 33809, 609, 1470, 33809, 1211, 292, 34654, 16932, 4, 4231, 13159, 1054, 14540, 1470, 164846, 7511, 65939, 35465, 5, 165592, 7508, 6093, 7508, 54260, 506, 178303, 364, 54260, 16803, 4, 3373, 2702, 124470, 96743, 6, 75230, 2702, 2702, 7369, 1054, 120467, 5, 4151, 6, 23173, 141943, 23173, 37826, 4852, 18167, 33960, 29659, 6235, 22426, 75230, 75386, 1470, 33809, 1211, 6235, 121865, 12483, 6428, 13159, 7508, 54260, 132025, 68566, 2702, 12483, 4838, 1751, 148346, 609, 292, 6, 57277, 39340, 4, 19829, 2702, 7511, 292, 1644, 15949, 2702, 4231, 30473, 33809, 1982, 1470, 33809, 1211, 6, 96986, 95455, 6235, 8903, 2702, 12483, 2200, 6235, 23822, 33809, 20260, 12483, 1285, 212413, 8947, 3056, 133190, 93657, 905, 89184, 13845, 43178, 22639, 1211, 6, 54260, 20315, 1211, 22426, 100810, 6, 101328, 63849, 114349, 75230, 1644, 23173, 8580, 5, 76961, 163139, 28726, 37826, 18225, 6235, 2865, 33809, 4852, 2882, 1470, 75230, 36909, 212484, 12483, 6, 48904, 26, 183512, 6093, 6319, 23269, 109636, 1644, 42572, 33809, 1211, 1285, 65902, 35189, 5, 75230, 87637, 72788, 6, 75230, 87637, 134127, 5, 2200, 36324, 8947, 3056, 23050, 905, 51723, 4, 3069, 31467, 60837, 2702, 36419, 33809, 19063, 8300, 16175, 4, 37826, 51723, 1285, 29434, 710, 18415, 73095, 33809, 13720, 1470, 75230, 4667, 3523, 34533, 6, 16932, 36419, 85465, 2200, 3523, 65482, 2702, 12483, 4838, 6, 203326, 109316, 107189, 15949, 2932, 2702, 4838, 119718, 5, 30473, 4151, 68248, 506, 13845, 2882, 41764, 5594, 33716, 7746, 2200, 6, 104149, 37826, 4838, 4944, 244640, 2882, 3523, 5666, 6235, 23269, 1982, 12483, 4, 36324, 6, 35465, 4838, 84577, 6093, 170479, 4852, 54260, 1211, 16175, 22426, 107581 ]

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

[ 9934, 40096, 2451, 30473, 3523, 77188, 81444, 4667, 5332, 13159, 6, 8632, 21292, 12483, 1470, 16870, 13845, 69181, 711, 55823, 1211, 364, 40096, 22753, 6, 48904, 23269, 13845, 54260, 2648, 2882, 2205, 6, 48904, 54260, 65902, 20315, 1644, 4, 3523, 54260, 4113, 6, 88660, 36909, 18415, 4, 4838, 12023, 36419, 139962, 114436, 6, 149364, 7972, 16667, 10676, 6, 88660, 13805, 47833, 22753, 120202, 23269, 36909, 5594, 32206, 73784, 112216, 710, 47351, 5, 6, 148346, 26612, 36609, 4, 6, 5, 905, 6, 124470, 26, 1211, 21776, 2932, 4, 88660, 4944, 12483, 7746, 4838, 9183, 37016, 2932, 91595, 13845, 2882, 10339, 174121, 101296, 36419, 7265, 9424, 6, 16932, 93975, 49920, 89930, 9934, 53414, 12, 2007, 167188, 6, 5594, 32, 113889, 4852, 364, 29060, 220224, 1211, 21422, 2882, 11265, 32, 1982, 54260, 2050, 19550, 145146, 4, 163139, 6, 59461, 20616, 5666, 44779, 4, 3056, 95455, 874, 39083, 6, 75230, 6, 124470, 9719, 2648, 6, 59461, 12483, 4838, 1982, 21106, 5, 6093, 75230, 2702, 40096, 71512, 7544, 109995, 364, 59929, 23050, 150349, 54260, 2882, 4, 9934, 115398, 183512, 109316, 1211, 7265, 16175, 54260, 905, 192539, 10339, 71804, 51723, 151614, 115518, 4113, 13845, 75230, 4944, 244640, 2702, 12483, 2200, 6, 49268, 16847, 7265, 6, 49268, 15529, 506, 81444, 4944, 12483, 23050, 57277, 115666, 2205, 23050, 212484, 12483, 7746, 119055, 10705, 54260, 8903, 42023, 5, 119718, 710, 10676, 4838, 141943, 23173, 26, 2702, 3373, 29771, 26, 18415, 3056, 4838, 54260, 1211, 4, 364, 59929, 9934, 4151, 163139, 9719, 4667, 564, 183512, 137, 54260, 2442, 5, 8903, 2882, 51723, 220273, 97816, 1211, 2200, 22753, 6, 148346, 23173, 23269, 2451, 25207, 15907, 186046, 76961, 68542, 13845, 5, 2648, 54260, 2882, 2205, 6319, 54260, 59461, 24464, 22753, 2932, 64260, 7746, 7243, 23050, 40096, 123736, 506, 56570, 2702, 26, 12483, 6, 42421, 33960, 46244, 27855, 185226, 2200, 9424, 142170, 850, 5, 95766, 7265, 12483, 4151, 6, 16747, 75230, 506, 132025, 6093, 37826, 10676, 6, 23173, 141943, 23173, 26, 2702, 3373, 29771, 4944, 244640, 101608, 4838, 23405, 20616, 75230, 1982, 12483, 29789, 506, 5, 12483, 4, 6, 47351, 95455, 8947, 12483, 364, 54260, 47332, 6, 68558, 6, 54260, 24152, 12483, 5, 2200, 163139, 4231, 37826, 7746, 7243, 10213, 29789, 506, 2882, 4, 37826, 710, 7746, 34537, 33809, 2702, 9213, 148346, 1211, 3523, 34533, 6235, 88660, 13497, 87481, 21106, 96986, 5, 10069, 23050, 16803, 151614, 1982, 12483, 8947, 27702, 50853, 4151, 3131, 22426, 54196, 292, 168892, 564, 29060, 40653, 9213, 6093, 3523, 61722, 2451, 2808, 24295, 101296, 4, 9424, 238144, 87311, 710, 5, 10676, 19550, 9719, 4667, 9424, 54260, 710, 4944, 95455, 6, 5, 12483, 8947, 6235, 9183, 120467, 42572, 6093, 15908, 54260, 49008, 4, 18225, 2648, 120467, 6235, 4113, 22426, 35596, 1285, 23050, 5666, 4944, 16932, 4, 1470, 75230, 2702, 8903, 4944, 80453, 15435, 2882, 6, 203326, 10498, 37016, 54260, 59929, 6093, 4, 95298, 2451, 13159, 506, 64260, 6, 119859, 710, 40920, 6235, 26612, 710, 109636, 1211, 4, 6, 5, 12483, 37826, 7746, 3120, 9213, 46244, 6, 139449, 123736, 55049, 12483, 5, 4151, 24755, 10813, 4667, 21106, 54260, 1211, 37826, 1751, 75230, 1211, 3523, 34533, 6235, 4944, 29771, 13497, 1470, 75230, 64310, 148346 ]

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

[ 12483, 2200, 6235, 506, 54260, 2702, 12483, 1285, 1285, 59461, 4, 18225, 170479, 22753, 36258, 10125, 6, 109995, 5, 20315, 2050, 4838, 189623, 2442, 23173, 26, 2702, 4838, 4944, 244640, 49008, 54260, 29771, 46244, 71512, 6, 97634, 4944, 244640, 16932, 37826, 7243, 23050, 119718, 10705, 13497, 4, 18583, 119718, 120467, 506, 91595, 54745, 1211, 22753, 4269, 53414, 162726, 34365, 21292, 2205, 22753, 3056, 6, 23173, 75230, 2702, 7265, 4838, 3069, 1982, 90848, 4944, 12483, 23050, 144754, 5, 6, 92605, 119718, 21106, 186145, 46244, 12483, 6, 90848, 4944, 12483, 6235, 12415, 49008, 6, 80264, 9213, 506, 25207, 1470, 75230, 8903, 1211, 5, 1470, 75230, 7201, 26, 1211, 6, 159696, 2932, 364, 59929, 22753, 6, 48904, 8903, 226112, 12483, 3373, 174121, 22426, 23173, 4113, 119055, 23173, 2451, 12483, 2200, 3056, 6, 23173, 75230, 22426, 23269, 22426, 21106, 12483, 1285, 874, 59929, 12483, 1470, 75230, 152656, 364, 21106, 4852, 7265, 4838, 50856, 46598, 6319, 119718, 21106, 186145, 46244, 12483, 5, 2451, 6, 225975, 4, 3373, 29771, 40377, 6093, 16629, 4, 199145, 3056, 6235, 159696, 1211, 32, 292, 6, 128750, 35596, 6, 75230, 1285, 67882, 24621, 2200, 163139, 139962, 75230, 1211, 4838, 7508, 39083, 4151, 506, 4113, 7682, 4, 199145, 8947, 364, 59929, 7265, 9213, 46244, 36324, 13845, 4944, 13159, 6235, 226112, 36909, 12483, 5, 2451, 6255, 151614, 1982, 16175, 9221, 10213, 5, 5, 3131, 2451, 2882, 2451, 710, 2451, 5666, 2451, 4484, 2451, 4113, 2451, 905, 2451, 506, 64260, 22753, 6, 81050, 7265, 23050, 101328, 63188, 5666, 119718, 21292, 12483, 1285, 3523, 54260, 42023, 190800, 244640, 8903, 30473, 506, 2882, 5, 2451, 3523, 23173, 109316, 4, 7243, 6428, 33809, 151614, 16803, 1285, 4667, 10213, 29659, 24295, 165354, 4, 9934, 38574, 34557, 850, 37826, 7746, 10213, 5, 73215, 20260, 1211, 2451, 506, 5, 2882, 1468, 7508, 5, 148346, 4113, 1470, 17824, 1470, 75230, 2882, 23269, 119718, 15907, 1285, 5332, 20616, 25207, 1211, 5, 2451, 48105, 139365, 41764, 2702, 3149, 3056, 23050, 710, 21106, 12483, 4838, 874, 39083, 47833, 146594, 609, 4, 37826, 18225, 23050, 3131, 36419, 21295, 6, 48253, 21106, 35596, 4, 109995, 8947, 6235, 90536, 1982, 12483, 46711, 33809, 165354, 4, 1470, 33809, 1211, 4, 36324, 8947, 2205, 46711, 33809, 165354, 4, 6235, 506, 2882, 18225, 2205, 1054, 29771, 4113, 12483, 4, 2200, 36324, 8903, 1211, 6235, 506, 2882, 2205, 9934, 29771, 4944, 12483, 4, 22753, 56169, 18225, 1470, 75230, 33225, 68248, 4, 1470, 33809, 1211, 36324, 3496, 12483, 22753, 56169, 1470, 75230, 7201, 26, 1211, 68248, 5, 7508, 41595, 20315, 1211, 120202, 5, 2451, 506, 59929, 7369, 6, 239162, 120749, 41764, 2884, 9213, 46244, 2200, 22753, 364, 59929, 123736, 148346, 89184, 4944, 244640, 2882, 3120, 22753, 68697, 4, 2200, 4838, 74, 4, 49008, 34654, 4944, 244640, 2882, 120202, 1470, 54260, 16667, 3120, 6, 183512, 53414, 3069, 84316, 16667, 18225, 7746, 4, 2200, 36324, 54745, 1211, 3069, 25616, 41595, 7746, 54260, 4667, 4, 620, 29771, 13497, 18225, 7746, 4, 2200, 36324, 18225, 1751, 203749, 2882, 7746, 4, 3069, 31467, 21733, 71577, 2882, 18225, 124724, 5, 292, 3056, 7369, 6235, 113889, 96986, 73784, 35289, 26, 1211, 2205, 22753, 73784, 81444, 20911, 29766, 7369, 37826, 4151, 35189 ]

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

[ 21295, 6428, 13159, 35289, 1211, 6, 75230, 23269, 6319, 54260, 5, 7511, 20260, 710, 96986, 2200, 22753, 37826, 4151, 26394, 506, 21295, 10676, 81444, 20911, 29766, 14004, 25207, 65902, 110317, 4484, 54260, 2702, 12483, 5, 65902, 25222, 20260, 54260, 96986, 16629, 96986, 7746, 5, 7508, 40096, 7746, 6, 146598, 8903, 114650, 30109, 12483, 5, 3056, 18225, 6235, 212484, 12483, 1470, 33809, 2050, 81444, 20911, 29766, 7369, 1054, 39083, 186145, 55823, 1211, 4, 37826, 7369, 6235, 905, 29771, 13497, 12, 199145, 16175, 9221, 9934, 142429, 6, 186145, 109636, 1211, 4, 9934, 21106, 6, 186145, 109636, 1211, 10676, 35289, 1211, 38, 37826, 6093, 35289, 6235, 226112, 55823, 1211, 4269, 54260, 4667, 2205, 9934, 117687, 6, 23173, 28320, 4, 47833, 36324, 18225, 6, 186145, 22426, 2882, 2205, 1751, 104855, 6, 29766, 8580, 7961, 114349, 54196, 2451, 22426, 29766, 33716, 18225, 5, 7501, 6255, 6, 149364, 205416, 25207, 1211, 2205, 4838, 6, 148346, 1644, 64260, 4113, 5, 47833, 36324, 6255, 119055, 13845, 6, 23173, 75230, 2702, 69355, 4151, 43449, 64260, 4113, 4, 119055, 13845, 6255, 6, 238144, 16932, 21776, 25207, 89184, 12483, 5, 73419, 26612, 7508, 39083, 3056, 6235, 159696, 1211, 4838, 68697, 7265, 4838, 111996, 49008, 4, 4838, 506, 88917, 6, 99611, 6, 59461, 5, 364, 59929, 21374, 49268, 23173, 75230, 2882, 23269, 8903, 1982, 12483, 4838, 6, 80453, 7682, 165592, 36324, 6, 5, 12483, 6, 205416, 6, 5, 710, 40920, 564, 33809, 7972, 49008, 6, 53414, 67537, 54260, 1211, 3069, 31467, 4838, 3523, 137377, 29789, 41764, 8580, 26612, 34654, 25207, 4113, 2451, 5, 12415, 16747, 1211, 37826, 8947, 6, 75578, 6, 9221, 54260, 122623, 75903, 136108, 6, 149364, 2648, 90848, 4944, 12483, 4, 6, 76776, 40920, 7369, 10676, 4269, 75230, 75578, 5, 40920, 12483, 41764, 2882, 54260, 30750, 4, 47833, 119055, 29766, 22426, 2702, 10676, 12065, 50856, 2205, 6, 131445, 13845, 4, 2200, 6, 186145, 23741, 1470, 30682, 2205, 115222, 18415, 38, 92500, 874, 183718, 1470, 30682, 6235, 22426, 119718, 29771, 7682, 3373, 159696, 5666, 26394, 4113, 5, 4151, 7508, 33809, 16747, 3056, 6235, 119718, 29766, 12483, 564, 54260, 4, 3496, 26612, 40920, 7369, 4852, 18167, 230764, 2200, 7508, 75230, 47332, 6, 68558, 3069, 6428, 75230, 109636, 1211, 5, 6428, 75230, 22426, 2882, 4, 657, 75230, 159212, 4, 6428, 75230, 22426, 2882, 4, 2205, 4838, 23050, 10069, 5666, 4944, 12483, 119055, 21106, 2648, 23173, 8580, 2451, 95766, 4269, 75230, 2050, 41764, 2884, 221895, 1211, 3056, 133190, 16667, 4838, 874, 54260, 1644, 2451, 4484, 177148, 7369, 21422, 73784, 292, 80885, 1211, 564, 54260, 21087, 77188, 7369, 1470, 75230, 2882, 7611, 1211, 6, 150349, 8580, 1982, 75230, 2050, 6, 29060, 77188, 162726, 75230, 5, 1285, 46654, 75230, 95455, 6, 59461, 40096, 6, 5, 101328, 5332, 1470, 75230, 33225, 54260, 5666, 5, 1285, 24012, 239162, 1470, 75230, 7201, 26, 1211, 1470, 75230, 2932, 3056, 6235, 146887, 123736, 119718, 710, 17824, 75230, 2702, 163139, 4838, 159696, 16175, 36419, 5, 4113, 6, 99611, 5, 119055, 64260, 2882, 18225, 6, 32206, 48904, 21292, 32, 18225, 121193, 129071, 22753, 230764, 5, 7213, 2882, 7746, 6, 23173, 75230, 2702, 9424, 75230, 26612, 109985, 1470, 54260, 1644, 12483, 2442, 54260, 9183, 183512, 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 ]

[ 7265, 82977, 183512, 710, 5, 1470, 54260, 1644, 12483, 657, 54260, 119718, 183512, 3056, 4838, 73418, 50856, 44064, 42355, 6, 76776, 5, 59461, 70285, 4, 5, 77188, 7369, 123736, 8580, 292, 2882, 99766, 6, 23173, 54260, 1211, 4, 6, 186145, 23741, 7369, 4838, 41764, 75230, 4113, 6, 226112, 49008, 4838, 113451, 1211, 78104, 2882, 6, 233364, 150349, 39340, 4, 95766, 7369, 55726, 506, 1285, 6, 78683, 125830, 39340, 4, 564, 21660, 29766, 15907, 1285, 6, 119859, 54561, 4, 27855, 4944, 244640, 2882, 10676, 22639, 103023, 4, 147582, 20911, 120202, 2648, 120467, 6319, 21106, 4944, 2205, 1285, 6319, 47351, 119055, 77188, 81414, 22426, 2932, 4, 6319, 84577, 18225, 3373, 75230, 1211, 41764, 2884, 6, 5, 13159, 6, 88660, 16932, 4838, 710, 75230, 4667, 92500, 6, 5, 12483, 17824, 54260, 2882, 3069, 31467, 2050, 6, 125830, 2200, 6, 54260, 29060, 17190, 18415, 710, 5, 2200, 4151, 31807, 5, 13982, 46053, 6235, 506, 40920, 10676, 6, 93497, 5, 4944, 12483, 6, 17645, 13845, 4231, 75230, 4667, 9721, 91595, 7746, 40653, 4151, 4231, 29060, 13845, 2200, 2181, 3373, 80453, 24295, 13497, 19532, 75230, 2702, 6, 40096, 75230, 23173, 26394, 46654, 75230, 2200, 3496, 18415, 21295, 7746, 1470, 75230, 2702, 26, 1211, 41764, 22426, 8580, 6, 114650, 29789, 4, 115222, 506, 33716, 7746, 40653, 1285, 4231, 75230, 4667, 4, 92500, 564, 65606, 2882, 123736, 6428, 13159, 4269, 20315, 25603, 164863, 13159, 4269, 5, 5, 609, 5, 32899, 76216, 33716, 7369, 21422, 81444, 20911, 75230, 16847, 7746, 6319, 33809, 2442, 9221, 12483, 90848, 4944, 12483, 1285, 81444, 20911, 75230, 16847, 6235, 905, 84577, 4, 36324, 1285, 76961, 45521, 29025, 12483, 564, 54260, 20315, 1211, 2200, 1285, 1470, 54260, 22492, 33809, 22492, 54260, 112690, 23269, 101296, 16932, 6, 9221, 109316, 1211, 28977, 5927, 151614, 1982, 12483, 2200, 45223, 12483, 151614, 1982, 12483, 114955, 5, 170479, 7369, 7746, 6, 131445, 1285, 2865, 54260, 2442, 1054, 59929, 38249, 6, 30979, 6, 5, 905, 54260, 6, 127583, 54745, 1211, 95455, 119055, 46598, 7369, 6235, 506, 29771, 710, 12483, 119055, 6093, 12483, 5, 905, 29771, 8580, 2200, 4838, 151614, 61621, 4, 54260, 1982, 2702, 6, 18167, 1285, 6, 104038, 123736, 2884, 26612, 6319, 47351, 7265, 4838, 7508, 75230, 4852, 4, 1644, 29771, 448, 1285, 6, 104038, 1470, 75230, 2702, 5, 132, 30473, 21374, 119718, 4, 6, 87311, 7972, 159696, 2442, 16, 2932, 109600, 37826, 6, 75322, 39083, 23050, 71804, 104149, 1470, 75230, 39248, 25046, 12483, 5, 165592, 119055, 6093, 8947, 1054, 29060, 72649, 2702, 8248, 49008, 4838, 24012, 49008, 4, 199145, 18225, 119055, 13159, 3523, 34533, 192183, 12483, 123736, 9221, 15350, 171428, 4, 119055, 29060, 7369, 1470, 30682, 4838, 159696, 4484, 8903, 1982, 12483, 4838, 364, 21106, 1982, 6, 149364, 24621, 2932, 4484, 5, 68313, 3069, 31467, 1470, 30682, 6, 130991, 4838, 10213, 65606, 36258, 6093, 657, 24295, 59461, 47833, 37826, 1470, 30682, 23050, 9183, 51723, 36324, 54260, 35189, 26394, 54574, 12483, 12, 2451, 6255, 6, 148346, 8580, 23050, 119718, 4484, 2205, 41764, 54260, 16932, 28317, 5666, 4, 151614, 1982, 6255, 23050, 506, 77188, 4, 36324, 18225, 364, 183512, 13845, 2882, 144754, 9934, 142429, 37016, 21066, 54260, 2702, 5, 199145, 2205, 1470, 119718 ]

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

[ 100810, 1054, 29766, 7682, 22426, 1644, 54260, 3131, 711, 292, 6, 5, 12483, 3523, 71577, 2882, 24012, 49008, 2200, 18225, 2442, 34533, 22753, 1470, 75230, 2702, 1285, 4269, 5, 5, 506, 63188, 4, 3056, 81444, 1054, 29766, 4113, 4944, 4, 21338, 54260, 2702, 5, 3056, 81444, 4667, 95455, 193042, 39340, 6, 5, 26217, 2882, 6, 5, 4113, 5, 2702, 29060, 5, 151614, 1982, 6255, 6235, 4944, 244640, 71577, 2882, 5332, 4269, 6293, 12023, 49008, 2200, 151614, 1982, 22753, 1470, 75230, 2702, 61397, 710, 4944, 12483, 1285, 4269, 5, 5, 46677, 2442, 4, 2205, 506, 26612, 12, 1470, 54260, 23405, 905, 26612, 88945, 1211, 41764, 24295, 6293, 78104, 49008, 46654, 54260, 2702, 2200, 20033, 23050, 71804, 905, 38249, 7265, 10676, 2205, 6, 159696, 2932, 6, 23173, 54260, 1211, 119718, 21106, 2648, 1470, 75230, 2702, 4, 119055, 21106, 2648, 2205, 2451, 115518, 6255, 6235, 16580, 96986, 24012, 4838, 4944, 26612, 18640, 4, 37826, 7746, 95455, 7508, 6093, 20315, 4113, 4838, 119718, 15350, 171433, 6235, 121865, 12483, 4, 78278, 8947, 37826, 7746, 40653, 61397, 710, 36419, 2884, 2205, 364, 29789, 148346, 2882, 1470, 75230, 4667, 4151, 1054, 54260, 2702, 564, 23173, 127710, 33809, 1211, 4269, 54260, 1211, 45223, 2882, 230764, 7508, 6093, 9424, 238144, 18415, 220224, 2882, 27702, 48974, 5, 6319, 68558, 7746, 4231, 23173, 6, 5, 710, 29060, 163139, 16932, 204403, 23847, 12483, 4, 7501, 6255, 6, 23173, 75230, 6293, 1470, 75230, 7201, 26, 1211, 27702, 48974, 4, 55242, 506, 11265, 4, 8947, 119055, 29771, 29060, 2882, 4838, 564, 75230, 24621, 4113, 5, 151614, 1982, 6255, 141492, 506, 6093, 3131, 109316, 1982, 54260, 1470, 33809, 54561, 6, 54260, 20315, 1211, 36909, 100810, 10339, 39083, 13805, 2865, 75230, 1644, 22426, 59461, 21292, 12483, 4838, 13342, 18640, 42572, 8580, 6, 148346, 75230, 2050, 4, 3069, 31467, 5666, 75230, 36909, 23269, 2702, 97634, 92867, 905, 95455, 42572, 6093, 20315, 1644, 2205, 119055, 2882, 23847, 6235, 36909, 29771, 46244, 12483, 5, 95455, 6, 98594, 195054, 2205, 6, 148346, 75230, 4667, 6, 12130, 6, 148346, 6093, 20315, 1644, 3056, 42572, 40920, 23050, 2865, 29766, 12483, 378, 2808, 33809, 1211, 132025, 8903, 506, 75230, 148346, 12483, 75230, 26612, 40377, 12483, 4, 6, 148346, 15533, 8947, 3056, 6235, 905, 92605, 2702, 12483, 4269, 54260, 4667, 2205, 22753, 69801, 6, 23173, 8580, 2451, 171433, 8903, 2702, 7201, 23173, 2702, 34654, 119055, 39083, 39340, 16667, 92500, 3523, 34533, 41764, 2884, 6, 99766, 5, 47833, 6, 148346, 21292, 12483, 10676, 6, 159696, 2932, 6, 148346, 1644, 54260, 148346, 12483, 6, 186955, 1211, 3056, 81444, 4667, 3523, 34533, 37189, 2702, 5, 151614, 5, 168892, 3523, 34533, 6235, 506, 59929, 6319, 54260, 1211, 6, 48904, 29025, 6, 148346, 2442, 17188, 2200, 6, 148346, 8580, 7508, 75230, 6293, 2205, 364, 52480, 13845, 19532, 54260, 1211, 5, 2205, 364, 52480, 13845, 5, 26612, 85310, 35465, 6, 48904, 26, 29771, 13805, 186046, 4838, 4269, 90848, 4944, 12483, 2451, 165592, 6, 112452, 6235, 50853, 3056, 6, 5, 710, 4944, 57277, 151614, 148346, 6255, 4838, 144532, 8903, 119718, 29771, 4, 4113, 15907, 4838, 6, 119859, 57619, 12483, 166464, 7265, 64769, 18630, 217814, 2200, 220273, 7511, 40920, 6235, 4484, 75230, 23741, 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 ]

[ 56170, 76776, 40920, 4, 151614, 148346, 6255, 20315, 2050, 75903, 2932, 6, 59461, 1644, 75230, 68959, 1211, 1470, 33809, 1211, 7243, 6235, 119718, 10705, 16803, 4, 163139, 36324, 75230, 41764, 2884, 34654, 25207, 710, 6, 23173, 137377, 8300, 9416, 35189, 1211, 5, 1470, 54260, 25207, 2050, 364, 29766, 6255, 4151, 905, 53414, 4838, 6, 101328, 4667, 4, 2205, 4231, 29766, 7961, 135118, 4113, 74, 151614, 148346, 6255, 3120, 3373, 21660, 39340, 1470, 75230, 2702, 7511, 25207, 56417, 4838, 6, 34575, 7682, 2200, 205026, 4838, 90848, 111137, 101328, 104149, 5, 6, 148346, 8580, 6255, 6235, 114778, 12483, 113554, 4151, 364, 29789, 22426, 2702, 6, 159696, 5927, 29771, 148346, 6255, 7243, 6235, 506, 59929, 6319, 54260, 1211, 4838, 83182, 5332, 8632, 4, 364, 26612, 120202, 23269, 2702, 7511, 96986, 3120, 9213, 148346, 12483, 4, 123736, 71512, 148346, 905, 152848, 22426, 2884, 22639, 2702, 12483, 2205, 7746, 163139, 101608, 6, 23173, 137377, 8903, 212484, 12483, 5, 7501, 6255, 6, 23173, 24295, 23269, 22426, 21106, 12483, 2205, 4838, 50856, 72158, 1470, 33809, 2442, 34533, 6235, 88660, 13497, 6, 23173, 75230, 2702, 5, 7501, 6255, 4838, 159696, 1644, 151227, 137377, 12483, 2205, 6, 94741, 63020, 6, 23173, 61621, 4, 20033, 23050, 148346, 29766, 194734, 22426, 23173, 13845, 2205, 205026, 6, 23173, 75230, 2702, 8903, 78683, 148346, 29060, 5, 7501, 6255, 6, 5, 6093, 2442, 364, 17310, 6093, 18640, 6235, 119718, 29766, 12483, 5, 6, 94741, 1982, 9213, 5, 25207, 174314, 35465, 6, 105780, 6293, 6235, 13458, 120467, 65482, 6235, 15388, 147582, 506, 12483, 4, 364, 26612, 6255, 22753, 6235, 7511, 96986, 44917, 200117, 137218, 49008, 2451, 4852, 114436, 4852, 54260, 6, 23173, 8580, 2205, 4838, 3496, 7201, 186955, 3120, 4838, 1982, 75230, 2050, 5, 7501, 6255, 220224, 125523, 1470, 33809, 1211, 22753, 6235, 4944, 71577, 2882, 1470, 33809, 1211, 205026, 3523, 33809, 1211, 37271, 100810, 6093, 23269, 506, 129071, 2451, 148346, 8580, 6255, 95298, 6235, 119718, 29766, 12483, 36324, 75230, 4269, 90848, 4, 36324, 6255, 151614, 1982, 7243, 23050, 78683, 120580, 6093, 2442, 3120, 564, 75230, 2882, 3069, 31467, 2442, 7682, 6, 23173, 75230, 2702, 5, 6, 148346, 8580, 6255, 6, 195054, 137377, 1211, 2205, 81444, 63020, 6, 23173, 54260, 1211, 4, 9721, 6235, 4944, 71577, 2882, 37271, 364, 26612, 74, 2200, 2190, 16667, 6093, 8903, 48775, 13805, 10676, 6, 148346, 75230, 2050, 2200, 6, 148346, 8580, 6, 23173, 75230, 2702, 8903, 4484, 90848, 4944, 244640, 12483, 6, 76776, 49209, 5, 6, 148346, 8580, 6255, 6235, 119718, 29766, 12483, 203370, 15231, 2932, 4, 6, 148346, 8580, 3069, 3069, 2702, 6, 148346, 15529, 119132, 7746, 132025, 65848, 20260, 12483, 292, 68313, 123736, 148346, 6093, 4151, 6, 148346, 15529, 119132, 16175, 32097, 92500, 119055, 59929, 6093, 2451, 4484, 75230, 2050, 4484, 54260, 2702, 1470, 75230, 36909, 6428, 37016, 4, 2205, 6319, 54260, 1211, 27855, 2050, 3056, 6, 99611, 2702, 29771, 38, 151614, 1982, 6255, 20033, 230764, 8903, 2702, 119718, 157245, 10676, 6319, 71577, 120202, 8903, 3131, 99611, 12483, 1470, 33809, 1211, 1470, 30682, 6, 23173, 23174, 29789, 905, 29766, 36909, 12483, 12, 170479, 7369, 7746, 132025, 65848, 20260, 12483, 78278, 6, 23173, 75230, 6293, 38, 132025, 8903, 110129, 20260 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4, 151614, 1982, 6255, 1470, 30682, 98252, 6, 23173, 75230, 2702, 8903, 3111, 31467, 51723, 1470, 33809, 1211, 4838, 15529, 22426, 5, 5666, 37075, 8300, 2702, 230764, 1285, 162726, 88945, 5, 163139, 1644, 7369, 95298, 7746, 3523, 34533, 364, 26612, 21292, 12483, 74, 7501, 6255, 6, 23173, 28320, 3069, 31467, 4838, 40714, 82576, 4, 20033, 6235, 4484, 75230, 22426, 2702, 4838, 6, 148346, 21292, 13845, 1751, 33809, 2702, 2702, 93497, 90848, 28726, 1470, 33809, 1211, 11265, 2702, 41764, 13159, 2702, 3069, 31467, 23269, 21733, 2648, 1982, 2702, 5, 4838, 119718, 710, 71804, 23405, 163139, 1285, 6, 119312, 95455, 7243, 6235, 2702, 100810, 4, 95455, 6, 148346, 2442, 7746, 6235, 506, 21106, 2702, 12483, 4, 6319, 75230, 2050, 95298, 95455, 10069, 6, 109995, 133190, 4838, 6, 203326, 13845, 119055, 23173, 710, 46685, 1470, 75230, 22426, 8903, 4113, 41595, 5, 3056, 1285, 3373, 33809, 2702, 93497, 87311, 28726, 3069, 2932, 48904, 5666, 12984, 1470, 33809, 1211, 35189, 6319, 137377, 3056, 20033, 163139, 35189, 6, 23173, 137377, 23269, 22426, 21106, 56880, 5, 7501, 6255, 78278, 6235, 119718, 29766, 12483, 4, 151614, 1982, 6235, 4944, 244640, 59929, 2702, 21106, 4, 165354, 2200, 1470, 75230, 1982, 12483, 4838, 32206, 5666, 8903, 21733, 71577, 2882, 119055, 75230, 4852, 2702, 1470, 75230, 152656, 6319, 137377, 16, 3056, 7369, 36324, 3131, 10339, 33809, 1211, 1470, 33809, 16667, 12483, 23173, 75230, 2702, 6235, 4484, 90848, 4944, 12483, 119055, 905, 48350, 2702, 1470, 75230, 36909, 26, 1211, 15434, 2205, 120202, 4, 364, 59929, 9213, 46244, 6, 93704, 29766, 2702, 10069, 4944, 12483, 5, 89647, 2808, 75230, 36909, 26, 1211, 6, 150349, 8580, 1982, 75230, 2050, 165513, 20616, 2882, 4838, 31249, 54260, 12483, 2200, 6319, 76776, 13805, 6, 99611, 44779, 4, 163139, 36324, 75230, 23050, 506, 36258, 165354, 123736, 137377, 10676, 60837, 54260, 12483, 32, 2451, 75290, 33716, 6, 104149, 1470, 54260, 6093, 1285, 6, 88660, 25207, 36419, 2200, 18225, 1751, 36419, 75386, 7746, 23173, 75230, 6293, 1470, 75230, 36909, 26, 1211, 7508, 29766, 4, 2200, 18225, 6235, 32206, 6, 23173, 137377, 10676, 3373, 7972, 12483, 2205, 54745, 1211, 9721, 141847, 2882, 1470, 30682, 4838, 506, 448, 5, 12483, 3373, 7511, 32206, 1470, 30682, 230764, 10676, 564, 75230, 4667, 5, 3373, 80453, 24295, 16667, 6, 23173, 75230, 2702, 123736, 31807, 125810, 1211, 6, 131445, 4838, 46050, 2702, 2702, 39083, 65482, 2050, 3373, 36419, 104149, 2205, 6, 148346, 21292, 4838, 10184, 4852, 65482, 2882, 364, 15907, 13845, 4, 22753, 2702, 4838, 3523, 28726, 25603, 164863, 13159, 4269, 5, 5, 3947, 5, 6, 94741, 63020, 18225, 5, 29771, 4667, 95298, 6, 76776, 4667, 147582, 2702, 1470, 75230, 22426, 8580, 564, 65606, 32, 117902, 33716, 18225, 1470, 75230, 22426, 8580, 4231, 133814, 2200, 18225, 6, 218710, 2882, 4838, 5, 710, 5, 120467, 4, 2205, 54745, 1211, 190859, 23173, 21295, 1285, 17806, 506, 2200, 18225, 193042, 4944, 244640, 2882, 10676, 22639, 103023, 1470, 5, 36324, 5, 119055, 5, 120620, 1644, 7508, 16175, 132, 23847, 2808, 51723, 4, 88911, 44779, 4, 116618, 20308, 1470, 33809, 1211, 46440, 12483, 16, 8903, 74004, 24621, 21295, 36909, 33809, 1211, 10498, 33809, 14081, 17190, 506, 133111, 132, 23847, 2808, 51723 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 657, 98071, 2648, 44779, 4, 116618, 20308, 2200, 145813, 98071, 1644, 12483, 194, 2865, 98071, 4484, 4, 148346, 54260, 1285, 49597, 114955, 4113, 22426, 98071, 1644, 12483, 4, 1470, 98071, 1211, 119055, 13845, 23269, 8947, 6235, 506, 51723, 132025, 175221, 5332, 21338, 98071, 107581, 6319, 98071, 83182, 4, 21374, 63532, 6, 124470, 9719, 2648, 1470, 75230, 2702, 1470, 54260, 23269, 2702, 3069, 31467, 506, 29771, 148346, 12483, 4838, 6, 148346, 59929, 21087, 188201, 7508, 39083, 84475, 7201, 33809, 20260, 42180, 4, 73784, 6, 148346, 710, 222907, 4, 6, 148346, 54260, 4151, 3131, 22426, 15350, 2205, 6, 5, 148346, 23173, 2932, 155, 2451, 8300, 33809, 6, 101328, 8903, 1211, 74, 2205, 37271, 36909, 13497, 2205, 6, 87311, 61397, 2451, 2808, 75230, 22426, 8300, 33809, 4852, 33809, 92867, 81829, 95455, 148346, 26612, 506, 186955, 171428, 2205, 137, 90536, 152848, 21374, 506, 155, 2451, 4852, 18167, 20632, 6, 212484, 12483, 21422, 6, 148346, 710, 16747, 12483, 1285, 49597, 1470, 75230, 8903, 1211, 2808, 5, 36324, 5, 119055, 5, 95455, 6, 148346, 92605, 710, 51723, 1285, 49597, 3069, 8903, 2882, 54260, 1644, 18415, 7508, 39083, 6, 29766, 6093, 42572, 710, 20260, 42180, 1470, 98071, 4852, 29771, 29111, 141847, 98071, 2932, 6, 105780, 26, 2050, 6, 26394, 54574, 161829, 105687, 1644, 5, 2648, 120467, 119055, 77188, 6235, 101296, 4944, 244640, 2882, 874, 98071, 2882, 4151, 11211, 108968, 69355, 4269, 48775, 51723, 4, 145813, 126700, 12483, 4, 116618, 20308, 73784, 26394, 54574, 12483, 7746, 5, 6, 148346, 54260, 6, 63188, 6, 1211, 119055, 23173, 2882, 3120, 20315, 2050, 6, 26394, 54574, 76632, 2882, 6, 238144, 4852, 2882, 4151, 6235, 506, 44478, 68558, 7265, 4151, 7508, 183512, 230764, 1470, 54260, 119132, 3120, 2648, 12, 132025, 2882, 54260, 1644, 23269, 506, 46685, 4, 2200, 230764, 6, 159696, 51723, 13159, 10339, 186955, 1470, 75230, 2702, 95455, 141879, 119055, 99766, 4, 35189, 3056, 6, 148346, 26612, 22680, 54260, 2882, 2205, 18225, 23050, 506, 21295, 94741, 1211, 1470, 75230, 7201, 26, 1211, 55242, 1644, 148346, 12483, 21422, 33225, 6, 113889, 4944, 75322, 39083, 95766, 8947, 119055, 77188, 163139, 35189, 6, 148346, 26612, 22680, 54260, 2882, 4151, 1644, 21660, 16932, 4, 36324, 75230, 6, 148346, 92904, 6, 148346, 15533, 8947, 6, 148346, 1644, 54260, 148346, 2882, 14004, 148346, 6093, 6, 12130, 6, 26394, 54574, 12483, 3523, 98071, 29659, 14856, 46244, 163139, 49597, 2808, 54260, 59461, 2205, 4151, 1470, 54260, 59461, 37826, 1285, 6235, 506, 6093, 93975, 7508, 39083, 84475, 10339, 33809, 20260, 42180, 15, 6093, 56052, 6, 101328, 8903, 710, 4, 8248, 31467, 4944, 244640, 12483, 1470, 5, 36324, 5, 119055, 5, 194, 8947, 186145, 23741, 1470, 75230, 4667, 4, 36324, 95455, 6, 54260, 4852, 16175, 33809, 1211, 4151, 119718, 120467, 42572, 186955, 6, 23173, 75230, 2702, 4151, 97995, 82576, 148346, 54260, 2050, 105687, 1644, 5, 17727, 17645, 35189, 42572, 33809, 1211, 1285, 4, 199145, 23050, 46244, 12483, 132025, 155, 2882, 54260, 1644, 22639, 448, 6, 222907, 4, 6235, 98833, 6, 23173, 75230, 6293, 1470, 75230, 7201, 26, 1211, 2882, 98071, 3131, 4838, 10339, 4, 61397, 15, 20315, 2050, 16175, 54260, 2702, 13845, 7916, 183216, 2205, 6428, 47351, 119055, 6093, 12483, 1285, 49597 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 98071, 23405, 6093, 8903, 26394, 506, 21295, 37729, 4151, 10339, 39083, 8903, 83182, 88660, 2865, 148346, 98071, 5666, 215726, 874, 98071, 2882, 17824, 33809, 22426, 13159, 21422, 29434, 54260, 20308, 5047, 657, 75230, 2882, 26, 1211, 68248, 10339, 33809, 1211, 148942, 148346, 2754, 2808, 75230, 6293, 10676, 185527, 12, 1982, 39248, 4, 2932, 21295, 5, 32206, 609, 5, 506, 5666, 4667, 4, 24244, 2050, 104149, 5, 506, 7201, 6293, 4, 2882, 10918, 1211, 132, 2932, 29766, 126968, 119718, 4, 17190, 148346, 1644, 5, 33960, 148346, 5, 194, 10461, 26612, 119718, 90848, 2050, 1470, 164046, 2702, 16, 75578, 1644, 4, 25222, 141015, 4, 105514, 4, 506, 6093, 3131, 13845, 4, 25603, 119425, 13845, 4, 4852, 24295, 159696, 1644, 4, 72596, 13845, 4, 104855, 5594, 4, 710, 33809, 20315, 1644, 4, 17160, 15289, 1054, 21733, 18406, 26, 4, 7972, 69801, 4, 14857, 506, 4, 11851, 1211, 4, 2702, 183512, 13845, 4, 20616, 61621, 6, 84404, 61621, 247, 7201, 195107, 4, 8300, 108264, 4, 88660, 148346, 13845, 4, 55451, 18406, 4, 3131, 228108, 4, 609, 22492, 5, 30979, 6, 26394, 54574, 161829, 7265, 6428, 12, 23269, 96986, 657, 75230, 2882, 26, 1211, 148942, 148346, 15533, 3056, 22426, 26612, 4944, 80453, 54260, 2882, 1470, 98071, 1211, 6, 119859, 69106, 10339, 75230, 1644, 12483, 5, 21320, 14081, 6293, 4, 45742, 4, 25222, 24621, 1644, 4, 2442, 10125, 4, 85465, 4, 119718, 29766, 4, 109995, 4, 506, 54260, 5, 45742, 4, 710, 33809, 2442, 4, 21106, 4113, 15622, 25207, 44779, 6235, 42023, 3069, 31467, 2442, 7682, 4, 21106, 4113, 6319, 40096, 4944, 39340, 2050, 6235, 42023, 81444, 4, 21106, 4113, 7838, 59461, 43649, 20616, 12483, 81444, 5, 905, 148346, 1644, 75230, 23269, 4, 119055, 23173, 2702, 5, 33960, 148346, 5, 194, 29557, 14081, 6293, 4, 148346, 2754, 4, 25222, 24621, 1644, 4, 2442, 54260, 4, 292, 88660, 4667, 20033, 6, 68558, 26612, 32887, 61541, 42572, 69181, 5, 219947, 6, 112452, 3373, 4667, 4, 219947, 6, 112452, 6, 148346, 98071, 2702, 13845, 4, 5666, 29766, 4838, 10339, 33809, 1644, 77928, 2702, 13845, 5, 132, 36909, 23173, 3131, 148346, 2442, 54260, 2882, 1470, 98071, 1211, 41764, 75230, 1644, 12483, 194, 43317, 21106, 4113, 4, 30750, 30750, 6, 238144, 18279, 61397, 12483, 2648, 99766, 12483, 506, 8580, 4, 119718, 2808, 33809, 506, 26612, 55823, 1211, 2882, 75230, 18415, 54260, 20315, 44779, 5, 132, 119718, 23173, 36326, 194, 2808, 43317, 119718, 23173, 710, 84577, 5, 21106, 18415, 1982, 54260, 104149, 8903, 506, 12483, 2442, 23173, 49008, 4, 506, 6093, 12483, 905, 54260, 49008, 4, 4852, 98071, 183216, 4, 506, 26612, 55823, 1211, 2882, 75230, 18415, 710, 33809, 20315, 1211, 5, 4944, 244640, 2442, 54260, 1211, 4, 1644, 75230, 36909, 12483, 4, 13342, 55823, 1211, 78683, 93509, 12483, 5, 132, 22426, 67054, 2702, 132213, 119055, 32206, 148346, 90848, 2648, 4, 7201, 26612, 119718, 1644, 29771, 119718, 4, 7508, 142429, 5, 33960, 148346, 5, 194, 59690, 905, 161618, 6, 17800, 33809, 2050, 6, 16011, 22680, 5332, 2884, 4, 292, 2865, 26, 506, 40096, 6235, 92867, 26612, 23741, 9424, 238144, 4269, 91275, 448, 12, 2808, 54260, 119132, 37826, 18225, 1470, 75230, 150020, 20616, 29771 ]

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

[ 183216, 4, 20315, 2050, 564, 126700, 12483, 2451, 6, 148346, 43178, 90848, 148346, 12483, 5, 4, 14004, 2882, 107581, 67512, 30109, 84577, 4, 2648, 12, 36326, 119718, 98071, 26394, 4, 7508, 29766, 5, 4269, 33809, 148346, 5, 194, 36076, 506, 36609, 20616, 28133, 3523, 9719, 4667, 81824, 4667, 28133, 3523, 63976, 4667, 116597, 101080, 31467, 14081, 17190, 506, 133111, 148346, 54260, 194706, 4231, 33809, 20315, 1211, 10069, 114955, 905, 13845, 116174, 46598, 23292, 187417, 6093, 43700, 292, 2442, 33809, 6, 148346, 98071, 4852, 57277, 17824, 75230, 101608, 4269, 73697, 5, 132, 114788, 163139, 2702, 148346, 90848, 2648, 4, 119055, 23173, 36326, 194, 50490, 145146, 6, 36484, 4, 6, 145146, 9174, 54260, 2050, 74, 56052, 4269, 33809, 18415, 24377, 46598, 16932, 4, 68697, 26659, 26, 28726, 6, 212484, 17190, 148346, 12483, 4, 506, 448, 127914, 56976, 4, 14857, 506, 25093, 31467, 3111, 31467, 10184, 142785, 5, 18553, 2648, 12890, 17806, 46685, 186565, 2648, 4, 119055, 23173, 36326, 194, 1126, 16, 12890, 20260, 4113, 4, 22426, 98071, 20260, 4113, 4, 48775, 25207, 9424, 98071, 20260, 4113, 5, 23173, 4113, 4113, 4, 1982, 23173, 26394, 4, 31249, 98071, 18415, 620, 120467, 4, 101296, 4667, 4838, 6, 148346, 120467, 5, 27720, 76216, 2442, 2205, 6, 448, 5, 14004, 22426, 33809, 4, 29659, 98071, 54260, 4, 710, 33809, 5666, 59461, 212915, 5, 21106, 18415, 6, 148346, 29771, 148346, 4113, 117902, 3131, 71804, 32054, 40096, 3131, 5, 4, 137218, 20260, 13845, 3373, 2702, 71577, 7511, 49597, 4484, 148346, 137218, 28726, 4, 73095, 55546, 5, 33960, 148346, 50258, 12890, 20260, 4113, 4, 2702, 98071, 20260, 4113, 5, 75578, 98071, 1644, 4, 3131, 16932, 98071, 1644, 5, 137218, 92867, 23269, 4, 2702, 26612, 1982, 23269, 5, 97634, 36326, 4, 15529, 120467, 4113, 5, 132, 15096, 29771, 94741, 25603, 48105, 506, 6093, 26394, 4, 59919, 26394, 5, 204403, 2702, 48904, 33809, 7972, 33809, 4, 506, 98071, 26394, 4484, 33809, 7972, 33809, 5, 26612, 16175, 98071, 6, 148346, 48904, 17645, 4, 170355, 212484, 2882, 192183, 17645, 6, 76776, 7508, 232187, 142170, 5, 20260, 4, 905, 48904, 4484, 4, 4852, 148346, 48904, 4484, 5, 23173, 2882, 33809, 6, 150349, 40096, 3131, 4, 26612, 6, 170355, 101328, 69106, 117902, 4944, 127827, 59929, 3131, 5, 132, 31623, 3149, 4484, 9934, 98071, 2702, 212915, 4, 6, 148346, 23173, 113889, 119718, 4, 9183, 148346, 1644, 5, 4269, 75230, 5, 16, 55102, 14004, 7972, 33809, 4, 3944, 33809, 7972, 33809, 4, 14857, 506, 6319, 33809, 7972, 33809, 5, 43590, 61621, 6, 148346, 16870, 6093, 4, 14857, 506, 34076, 48350, 6093, 5, 37016, 2865, 37016, 4, 29659, 2442, 75230, 1470, 98071, 1211, 55242, 4484, 5, 78683, 48253, 165354, 10184, 49597, 16932, 4, 506, 98071, 506, 59461, 1211, 29434, 37016, 5, 132, 148346, 112690, 2884, 22753, 2702, 212915, 4, 6, 148346, 23173, 113889, 119718, 4, 7972, 148346, 1644, 5, 33960, 148346, 16, 63258, 2442, 12415, 3373, 39083, 94741, 96986, 4, 7916, 49597, 6093, 4269, 33809, 148346, 6093, 76776, 96986, 4, 4852, 171428, 6235, 39293, 4113, 12483, 4838, 364, 21106, 148346, 4113, 4838, 47332, 2451, 4852, 54260, 151614, 148346, 12483, 6, 2050, 26, 1644, 98071, 2442, 13845, 1470, 75230, 2702, 8903 ]

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

[ 2882, 48775, 47332, 5, 2648, 98071, 23269, 67882, 25207, 4, 48253, 29771, 448, 36326, 112216, 20315, 1211, 78683, 153222, 6, 48775, 148346, 4113, 4, 87311, 20260, 710, 57277, 506, 4113, 5, 21847, 98071, 1211, 3523, 7972, 68558, 4, 2442, 75230, 4113, 1054, 29771, 2865, 148346, 5, 25603, 18415, 42572, 21292, 109316, 905, 98071, 125830, 4, 15622, 23173, 36419, 5, 65283, 2442, 6093, 364, 68558, 43649, 20616, 96256, 75230, 7201, 26, 1211, 6, 90848, 4667, 4, 26612, 97816, 6319, 33809, 63532, 4, 7511, 49597, 16803, 12023, 76776, 92867, 2882, 5, 35189, 9934, 59461, 19302, 98071, 23405, 2882, 12, 123844, 4, 9424, 75230, 4, 2442, 12415, 4, 10184, 49597, 6093, 4, 7916, 49597, 23269, 6293, 4, 55242, 13805, 4, 98071, 148346, 12483, 4, 4838, 12890, 4, 129891, 4, 6, 148346, 20616, 12483, 5, 14857, 506, 15857, 92867, 98071, 2050, 4, 119055, 23173, 36419, 16, 62155, 2451, 6, 148346, 21106, 68558, 4, 6, 148346, 21106, 68558, 4, 45629, 33809, 6, 148346, 98071, 4852, 34079, 32, 2451, 6, 137218, 4667, 6, 148346, 98071, 1211, 112452, 657, 33809, 148346, 1644, 98071, 1211, 5, 14004, 16667, 4113, 4, 6, 54561, 54260, 4113, 4, 13982, 17645, 4, 10184, 49597, 123073, 4, 7916, 23269, 25603, 4, 55242, 142785, 4113, 4, 4852, 98071, 148346, 65482, 4, 4838, 4944, 244640, 18415, 4, 7511, 23269, 4, 9424, 20616, 23269, 4, 109316, 25603, 4, 6, 18250, 109316, 159696, 5, 75230, 111571, 19302, 54260, 7511, 47351, 4, 119055, 23173, 36326, 194, 60978, 14004, 16667, 4, 6, 238144, 4, 204403, 28726, 125830, 26612, 710, 5, 12415, 4, 42572, 98071, 6093, 4, 29771, 7201, 21660, 98071, 6093, 5, 7916, 23269, 6293, 4, 55242, 13805, 4, 506, 186955, 23050, 30750, 142785, 5, 2442, 148346, 12483, 4, 4838, 4944, 244640, 2882, 4, 26612, 4269, 33809, 18415, 6, 76776, 4944, 244640, 2882, 4, 49008, 4, 2648, 98071, 1751, 12483, 5, 23269, 42023, 292, 7508, 6093, 220224, 59461, 4, 109316, 6293, 292, 7508, 6093, 41764, 23847, 4, 18250, 109316, 6293, 292, 7508, 6093, 6, 186145, 61397, 5, 2442, 12415, 26394, 42023, 292, 1285, 49597, 6, 148346, 54260, 153222, 1211, 4, 59919, 26394, 42023, 292, 1285, 49597, 25093, 31467, 710, 26, 10918, 1211, 4, 36909, 33809, 36909, 26394, 42023, 4269, 90848, 3131, 12483, 292, 26612, 364, 21106, 148346, 4113, 57906, 77518, 23292, 98071, 50853, 12483, 194, 132, 506, 50856, 2702, 6, 48904, 97594, 82576, 4, 119055, 23173, 36326, 16, 1054, 23173, 710, 183718, 4151, 36909, 2884, 6150, 13982, 905, 20911, 1470, 98071, 1211, 41764, 20260, 2702, 163139, 49597, 1644, 23269, 158197, 148346, 4, 86733, 26, 1211, 3523, 33809, 18553, 12498, 710, 11540, 16, 119718, 23173, 710, 84577, 5, 14004, 16667, 4, 564, 75230, 4, 7201, 39083, 98071, 26394, 5, 2442, 12415, 4, 10184, 49597, 6093, 4, 29771, 7916, 10918, 6093, 5, 7916, 49597, 23269, 6293, 4, 55242, 13805, 4, 21106, 18415, 17288, 142785, 5, 3111, 31467, 18415, 6, 76776, 40920, 5, 8580, 4, 6, 26394, 42023, 4, 31249, 29771, 36909, 12483, 6235, 42023, 5, 109316, 6293, 4, 3069, 109316, 6293, 4, 2932, 64260, 364, 109316, 6293, 5, 2442, 12415, 26394, 42023, 4, 6, 59919, 26394, 42023, 5, 17160, 75230, 4113, 6, 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 ]

[ 29025, 12483, 5, 17268, 193338, 42023, 4, 55242, 115650, 42023, 4, 7916, 195054, 30109, 4113, 4944, 26394, 1211, 5, 7511, 57619, 20616, 1211, 4, 3069, 171433, 10918, 49597, 5666, 4, 27720, 76216, 2442, 6, 112452, 6, 48775, 57619, 98071, 5666, 5, 132, 119718, 98071, 36419, 23847, 142429, 4, 119055, 23173, 2702, 5, 33960, 148346, 5, 16, 59741, 2442, 6093, 6, 88660, 4113, 21106, 4, 4151, 6, 88660, 4113, 21106, 506, 64260, 21776, 2050, 6319, 13159, 13845, 74806, 203749, 12483, 4, 6093, 7508, 34533, 3523, 98071, 29659, 1054, 98071, 7916, 49597, 1644, 23050, 8903, 44478, 37826, 6, 23173, 23174, 79238, 203749, 12483, 5, 29771, 35189, 123959, 4, 29771, 35189, 3069, 2004, 29771, 35189, 7508, 12415, 4, 29771, 35189, 42572, 98071, 6093, 4, 29771, 35189, 10184, 49597, 5666, 6293, 4, 29766, 6093, 55242, 13805, 4, 29771, 35189, 9934, 98071, 148346, 12483, 4, 29771, 35189, 4838, 4944, 244640, 2882, 4, 29771, 35189, 6, 129891, 4, 29771, 35189, 6, 26394, 42023, 77518, 5, 132, 22426, 5, 5332, 22426, 29659, 54260, 1211, 4, 21374, 2882, 23269, 4, 119055, 23173, 2702, 5, 33960, 148346, 5, 16, 119718, 23173, 710, 84577, 4151, 36909, 33809, 1211, 6235, 36909, 100810, 8248, 4667, 2808, 75230, 4667, 6, 148346, 54260, 4269, 98071, 3111, 148346, 9221, 5666, 1470, 33809, 1211, 3373, 23173, 37016, 5, 2808, 87905, 119718, 23173, 710, 84577, 5, 48904, 75230, 1470, 98071, 4852, 6235, 27720, 76216, 25207, 1211, 2205, 1054, 21106, 98002, 1211, 37826, 3069, 31467, 1982, 90848, 92867, 12483, 4838, 48775, 142785, 5, 119718, 98071, 220440, 6, 48253, 25207, 75290, 6, 48775, 32097, 51723, 3523, 33809, 151614, 148346, 12483, 5, 2808, 75230, 6293, 3069, 31467, 56170, 2442, 98071, 4944, 244640, 96986, 1285, 49597, 4838, 13805, 32, 905, 12483, 4151, 4, 6, 148346, 710, 119055, 13845, 4944, 244640, 12483, 18225, 6, 69336, 148346, 2050, 105235, 42023, 874, 98071, 2882, 4151, 10339, 48775, 8903, 4, 6, 35596, 36909, 93497, 2865, 98071, 2702, 4838, 36723, 76216, 1644, 4, 6428, 5, 6, 148346, 5, 6, 26394, 42023, 4, 9424, 20616, 21295, 51723, 6, 109995, 125523, 1470, 98071, 56417, 6, 148346, 98071, 4852, 4151, 132025, 8903, 8903, 148346, 114436, 9424, 29771, 54574, 6, 4, 2808, 54260, 137765, 98071, 8903, 4852, 42572, 21106, 2451, 26394, 42023, 2077, 129150, 101080, 31467, 14081, 17190, 506, 133111, 22426, 710, 1470, 33809, 54561, 4231, 33809, 25207, 1211, 10069, 114955, 9183, 13845, 2702, 14004, 66293, 4, 6, 238144, 4, 13982, 54260, 4, 42572, 63188, 4, 36909, 98071, 5666, 6293, 4, 75903, 142785, 4, 4852, 98071, 1982, 12483, 4, 4838, 40920, 4, 56052, 4, 6, 26394, 42023, 5, 132, 101080, 14081, 3373, 5666, 54260, 6093, 29771, 119718, 4, 16175, 101608, 78683, 36419, 4, 17494, 29789, 905, 5, 20632, 148346, 5, 194, 148346, 87905, 119718, 23173, 710, 84577, 5, 26612, 48706, 39083, 165592, 3131, 1470, 98071, 26, 6235, 76776, 49008, 23269, 76776, 183216, 247, 26612, 6319, 119273, 13845, 6, 148346, 26612, 3131, 203749, 12483, 4, 506, 64260, 7369, 3523, 98071, 29659, 6235, 119718, 98071, 16803, 15, 8903, 119718, 2808, 33809, 16803, 16, 4852, 98071, 46590, 16175, 34079, 37016, 13159, 6, 23173, 54260, 57619, 33809, 3131, 203749, 12483, 5, 506, 64260, 7369, 6235, 26394 ]

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

[ 506, 21295, 12, 7511, 49597, 16803, 123959, 4, 7511, 49597, 16803, 3069, 54260, 4, 219947, 29434, 54260, 4, 7511, 49597, 16803, 42572, 63188, 4, 7511, 49597, 29659, 42572, 98071, 23269, 6293, 4, 7511, 49597, 29659, 55242, 13805, 4, 98071, 29659, 9934, 98071, 148346, 12483, 4, 7511, 49597, 29659, 4838, 92867, 2882, 4, 7511, 49597, 16803, 3523, 54260, 1211, 4, 7511, 49597, 29659, 6, 26394, 42023, 5, 132, 119718, 23173, 36326, 194, 2648, 120467, 119055, 99766, 137, 7511, 49597, 29659, 155, 6, 148346, 54260, 148932, 36723, 76216, 1644, 119055, 77188, 3069, 31467, 8903, 8903, 148346, 12483, 4, 6, 238144, 1644, 18225, 205416, 3523, 98071, 29659, 6, 26394, 54574, 12483, 4, 119055, 29766, 33809, 2050, 6428, 33809, 2442, 4944, 26, 1211, 26394, 54574, 12483, 4269, 98071, 2882, 18225, 6, 48904, 26, 68438, 506, 25207, 1470, 33809, 1211, 36909, 33809, 1211, 1285, 49597, 6235, 26394, 54574, 18415, 6319, 68558, 4, 9174, 55687, 4, 6, 159696, 48775, 159696, 47063, 2702, 23173, 1982, 12483, 5, 2932, 87905, 119718, 23173, 710, 84577, 5, 16803, 39083, 165592, 2882, 1470, 98071, 4852, 6235, 240863, 12483, 26612, 6, 94741, 4667, 6, 148346, 59929, 203749, 12483, 4, 506, 64260, 7369, 7243, 6235, 905, 98071, 16803, 15, 8903, 47709, 33809, 2702, 2050, 16, 905, 98071, 36909, 98071, 1644, 1751, 98071, 47526, 12483, 7369, 6, 94741, 63020, 8300, 33809, 151614, 148346, 12483, 5, 506, 64260, 7369, 6235, 26394, 506, 21295, 27, 1470, 5, 36324, 5, 119055, 5, 132, 148346, 137218, 28726, 4, 73095, 55546, 5, 33960, 148346, 5, 16, 56641, 71577, 33809, 6, 137218, 23269, 4, 4484, 33809, 5, 4113, 213909, 4113, 5, 31249, 7758, 7508, 174121, 4, 75290, 4113, 874, 174121, 5, 24390, 4, 1982, 54260, 4, 31249, 710, 96986, 4838, 68550, 5, 152440, 49597, 2882, 4, 4484, 76776, 2702, 4, 205513, 5, 4484, 33809, 63532, 4151, 6319, 29766, 21106, 95766, 43649, 142429, 2882, 6, 23173, 12483, 4, 26394, 506, 33716, 7369, 1285, 49597, 23050, 8903, 44779, 2808, 98071, 1211, 6319, 119273, 109316, 6, 23173, 54260, 1211, 12, 14004, 16667, 4113, 4, 6, 8632, 54260, 4113, 4, 2442, 144295, 4, 41764, 98071, 123073, 4, 7916, 49597, 23269, 159696, 4, 1054, 37016, 36419, 4, 30473, 148346, 65482, 4, 4838, 4944, 18415, 4, 5666, 54260, 23269, 4, 9424, 20616, 23269, 5, 132, 2702, 29771, 92867, 40096, 36326, 905, 4, 1054, 23173, 2702, 5, 33960, 148346, 5, 16, 2808, 13556, 16, 119718, 23173, 710, 84577, 5, 71577, 4113, 6, 137218, 23269, 4, 4484, 98071, 36419, 213909, 4113, 4, 31249, 7758, 7508, 174121, 4, 75290, 17645, 874, 174121, 4, 24390, 4, 148346, 98071, 2702, 4, 31249, 98071, 96986, 4838, 68550, 5, 4484, 5666, 5, 2050, 4, 4484, 76776, 2050, 65848, 1644, 5, 4484, 33809, 2882, 2882, 4151, 6, 88660, 16932, 2808, 33809, 1211, 9424, 20616, 21295, 1285, 49597, 23050, 8903, 44779, 5, 98864, 14004, 66293, 4, 123959, 4, 9213, 4, 109316, 6293, 4, 895, 6093, 4, 1470, 33809, 4, 109316, 6293, 4, 6, 109316, 6293, 4, 6, 109316, 6293, 4, 109316, 6293, 4, 6, 109316, 6293, 4, 1470, 33809, 5, 159696, 2442, 3373, 26, 88660, 1211, 9424, 119718, 171433, 10918, 49597, 2932, 77518, 6, 26394, 54574, 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 ]

[ 4, 2451, 710, 16, 1470, 98071, 1211, 10676, 88911, 13845, 23050, 36909, 41595, 9934, 98071, 4667, 8300, 119718, 26612, 109985, 119055, 6093, 16932, 5, 2442, 89184, 51421, 119718, 23173, 36326, 194, 2648, 120467, 55242, 1644, 148346, 4113, 6, 26394, 54574, 76632, 49597, 3131, 107776, 1470, 75230, 4667, 36909, 29766, 4838, 75386, 6, 148346, 165592, 710, 83182, 145813, 98071, 1644, 4, 199145, 6, 148346, 26612, 105235, 506, 2882, 1470, 98071, 1211, 6, 26394, 54574, 12483, 9934, 98071, 4667, 1285, 49597, 42572, 24295, 59461, 6, 156325, 2648, 98071, 364, 141943, 4, 132025, 23269, 506, 75230, 148346, 12483, 41764, 33809, 1211, 7544, 115666, 96986, 223390, 6093, 42572, 8580, 35189, 657, 98071, 20260, 6093, 7508, 183512, 4, 4151, 113889, 4667, 42572, 8580, 55242, 1644, 148346, 12483, 42572, 23174, 6093, 24464, 4151, 2442, 91595, 6093, 12, 4151, 113889, 4667, 125523, 6, 75322, 39083, 95455, 14004, 2932, 65482, 4, 199145, 1470, 98071, 1211, 3373, 4667, 506, 10813, 4151, 8903, 506, 105439, 6, 148346, 98071, 4852, 9424, 119718, 171433, 10918, 49597, 5666, 5, 2451, 29771, 35189, 12, 20632, 171433, 10918, 49597, 2932, 43649, 20616, 2882, 81444, 5, 710, 5, 16, 4838, 119055, 23173, 710, 84577, 4151, 36909, 33809, 1211, 292, 6, 148346, 54260, 710, 5, 657, 5, 5332, 42023, 5, 73419, 14004, 16667, 4, 84475, 3069, 54260, 4, 29771, 35189, 29434, 710, 4, 84475, 10184, 49597, 6093, 4, 29771, 35189, 10184, 49597, 5666, 6293, 4, 84475, 55242, 13805, 4, 29766, 6093, 9934, 98071, 148346, 12483, 4, 6, 29766, 16870, 4838, 40920, 4, 29766, 4113, 6, 129891, 4, 84475, 6, 26394, 42023, 4, 29771, 35189, 6, 109316, 6293, 4, 84475, 3069, 109316, 6293, 4, 29771, 35189, 29434, 710, 26394, 42023, 4, 4484, 33809, 2882, 2882, 364, 21106, 148346, 4113, 6, 238144, 26394, 1211, 5, 4484, 33809, 2882, 2882, 6, 23173, 8580, 7508, 6093, 364, 21106, 148346, 6093, 6319, 76632, 49597, 2932, 2808, 33809, 1211, 657, 17645, 98833, 1751, 75230, 1211, 160238, 70361, 5, 132, 710, 39083, 29771, 87311, 119718, 194, 69072, 14004, 16667, 4, 9424, 119718, 710, 4, 7508, 12415, 4, 1644, 98071, 35189, 4, 657, 98071, 35189, 4, 657, 5, 218241, 12483, 4, 90848, 165354, 4, 148346, 54260, 6093, 34076, 218241, 12483, 74, 86733, 1644, 4, 148346, 6093, 1644, 4, 7201, 29771, 54260, 132, 101080, 14081, 16888, 6093, 29771, 119718, 4, 16175, 101608, 88660, 36419, 4, 4484, 98071, 4113, 159696, 2442, 33960, 148346, 5, 16, 26612, 119055, 23173, 710, 84577, 4151, 36909, 33809, 1211, 2451, 2808, 98071, 1211, 4151, 6, 170355, 2050, 186461, 24464, 4231, 5, 657, 5, 117383, 5, 2808, 38, 10461, 119718, 23173, 710, 84577, 5, 2808, 54260, 16667, 4, 9424, 119718, 710, 4, 7508, 12415, 4, 1644, 98071, 170355, 4, 657, 98071, 170355, 4, 3944, 5, 218241, 1211, 4, 1982, 218241, 1211, 4, 148346, 54260, 59461, 1751, 97634, 38249, 5, 14004, 20260, 4, 148346, 98071, 20260, 4, 132, 34557, 17800, 2050, 6, 75230, 50856, 710, 148346, 4, 27855, 148346, 2442, 77928, 1211, 92867, 13845, 46685, 4269, 33809, 148346, 5, 16, 159696, 1211, 18225, 4151, 36909, 98071, 506, 21295, 60837, 34365, 98071, 2050, 3523, 98071, 29659, 4, 112452, 4269, 33809, 96986, 6, 170645, 1470, 33809, 1211, 874 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 34533, 3523, 98071, 126934, 6093, 95455, 37826, 6235, 146887, 4, 9424, 20616, 21295, 18225, 4852, 98071, 4667, 1470, 75230, 2702, 874, 98071, 2702, 10676, 657, 98071, 2442, 13845, 2200, 230764, 159696, 51723, 8947, 21374, 2702, 2702, 1470, 75230, 2702, 95455, 141879, 119718, 29766, 2702, 4, 1470, 98071, 1211, 95455, 4838, 210228, 4, 36324, 4151, 37826, 2648, 120467, 6235, 2882, 33809, 1211, 5, 69072, 119718, 23173, 710, 84577, 5, 123844, 4, 3069, 4, 7508, 12415, 4, 1644, 98071, 25207, 4, 657, 98071, 25207, 4, 3944, 4, 29771, 4113, 12483, 4, 148346, 218241, 12483, 74, 3131, 98071, 25207, 4, 2932, 2865, 98071, 25207, 5, 148346, 98071, 4852, 2882, 4838, 448, 5, 132, 2648, 29766, 109316, 3373, 218241, 165592, 3131, 4, 119055, 23173, 36326, 194, 2932, 38, 10461, 119718, 23173, 710, 84577, 14004, 16667, 4, 6, 8632, 710, 4, 7508, 12415, 4, 1644, 98071, 48775, 4, 657, 98071, 48775, 4, 657, 54260, 5, 218241, 12483, 4, 90848, 165354, 4, 148346, 71512, 1751, 97634, 165354, 5, 29771, 20260, 4, 148346, 29771, 20260, 4, 29659, 710, 20260, 5, 132, 121709, 36326, 1054, 29771, 148346, 6093, 212915, 4, 1470, 98071, 163177, 148346, 98071, 26394, 4, 1644, 33809, 148346, 1644, 98071, 59461, 33960, 148346, 5, 16, 710, 55102, 119718, 23173, 710, 84577, 5, 14004, 66293, 4, 6, 98594, 4, 7508, 12415, 4, 7972, 33809, 8903, 4, 3944, 33809, 23269, 4, 657, 54260, 5, 218241, 12483, 4, 148346, 218241, 12483, 4, 148346, 2442, 54260, 4113, 657, 218241, 12483, 5, 2808, 75230, 6293, 1285, 49597, 6, 148346, 2442, 98071, 4484, 43649, 20616, 2882, 4838, 364, 68558, 4, 25391, 15907, 7369, 12, 10184, 49597, 4484, 4, 41764, 98071, 4484, 4, 17288, 46685, 1644, 4, 26394, 16932, 1644, 4, 4484, 33809, 2050, 3069, 874, 98071, 2442, 2205, 115222, 222572, 1644, 5, 16629, 33809, 14081, 17190, 506, 133111, 148346, 710, 1470, 33809, 54561, 4231, 33809, 20315, 1211, 10069, 114955, 119718, 710, 21295, 26, 13845, 1470, 98071, 4667, 1285, 49597, 2442, 5332, 4, 46598, 34654, 104149, 4, 26612, 1751, 98071, 2702, 109316, 874, 98071, 2882, 3056, 12483, 5, 8300, 75230, 6, 186578, 6, 101328, 8903, 1211, 9934, 98071, 4667, 4, 609, 46533, 63831, 1751, 203749, 12483, 9934, 98071, 4667, 5, 132, 31177, 1644, 1157, 506, 220273, 36909, 98071, 20260, 13845, 4, 119055, 23173, 36326, 194, 89647, 14004, 16667, 4, 6, 238144, 4, 7508, 12415, 4, 2442, 98071, 57277, 4, 7508, 98071, 57277, 4, 7508, 54260, 5, 2442, 98071, 83957, 4, 7508, 12, 95494, 4, 68313, 35596, 26612, 95494, 710, 16, 1211, 14004, 66293, 4, 6, 238144, 4, 29434, 54260, 5, 119718, 905, 23173, 36326, 418, 5, 710, 16, 84475, 12, 7508, 98071, 36326, 4, 7508, 98071, 36326, 4, 148346, 12415, 36419, 6, 78683, 36326, 5, 2808, 89647, 119718, 23173, 710, 84577, 5, 14004, 66293, 4, 3069, 54260, 4, 29434, 54260, 4, 2442, 98071, 36326, 4, 7508, 98071, 18415, 4, 34654, 5, 2442, 98071, 36326, 4, 7508, 98071, 18415, 4, 88660, 69801, 18133, 36326, 4, 36909, 9221, 13845, 620, 4113, 22426, 2882, 9934, 98071, 4667, 125523, 5, 132, 119718, 39083, 6293, 193042, 164863, 92605, 4, 119055, 23173, 36326, 194, 85520, 75230, 58679, 2451, 506, 64260 ]

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

[ 6235, 25616, 20616, 2882, 4, 14857, 506, 2451, 35189, 364, 68558, 4, 43590, 61621, 2451, 2442, 16870, 10184, 37016, 13845, 98071, 4484, 4, 1644, 75230, 37826, 6235, 111684, 33716, 4838, 119055, 29771, 8903, 1211, 2865, 98071, 2882, 9424, 98071, 69801, 13159, 5, 123844, 2451, 26612, 6, 99611, 13845, 4, 8300, 75230, 2451, 26612, 9424, 119718, 710, 164461, 4, 13982, 710, 2451, 148346, 165592, 59929, 12483, 4, 7916, 49597, 6093, 2451, 25207, 35189, 4, 7916, 49597, 23269, 6293, 2451, 7916, 49597, 23405, 6093, 4, 39293, 142785, 2451, 4484, 98071, 50856, 6093, 74, 4852, 98071, 1982, 12483, 2451, 8903, 21733, 98071, 148346, 12483, 74, 26612, 40920, 2451, 8903, 236376, 74, 129891, 2451, 2648, 98071, 22518, 1211, 74, 89930, 12483, 2451, 8903, 39293, 506, 12483, 12, 109316, 6293, 2451, 35189, 1285, 61397, 74, 18250, 109316, 6293, 2451, 35189, 41764, 23847, 74, 2442, 54260, 26394, 42023, 2451, 2648, 98071, 6, 148346, 54260, 153222, 1211, 74, 36909, 6093, 26394, 42023, 2451, 2648, 98071, 25093, 31467, 710, 26, 10918, 1211, 74, 7201, 33809, 36909, 26394, 42023, 4269, 90848, 3131, 12483, 2451, 26612, 364, 21106, 30750, 154739, 1211, 15, 2932, 98071, 50853, 12483, 194, 132, 2932, 39083, 20315, 123736, 31249, 710, 92605, 4, 119055, 23173, 36326, 194, 119718, 23173, 710, 84577, 12483, 4151, 7201, 33809, 1211, 6235, 7201, 33809, 49008, 9934, 98071, 4667, 148346, 54260, 37189, 54561, 148346, 33809, 48974, 2200, 874, 23173, 37016, 4, 4231, 5, 657, 5, 5332, 42023, 2808, 33809, 1211, 1470, 98071, 1211, 41764, 93449, 5, 2808, 91887, 119718, 23173, 710, 84577, 5, 14004, 66293, 2451, 26612, 3523, 98071, 2702, 13845, 4, 13342, 54260, 2451, 26612, 9424, 119718, 98071, 1644, 98071, 23405, 4, 13982, 54260, 2451, 2865, 119718, 18406, 4, 7916, 6093, 2451, 25207, 35189, 4, 7916, 49597, 23269, 6293, 2451, 7916, 49597, 23405, 6093, 4, 25603, 142785, 2451, 4852, 98071, 23405, 6093, 4, 4852, 98071, 148346, 12483, 2451, 22426, 98071, 16803, 75230, 1644, 12483, 4, 26612, 4944, 244640, 2882, 2451, 26612, 220224, 61397, 4, 5666, 54260, 1211, 2451, 20315, 2050, 10339, 23847, 5, 7201, 23847, 47940, 850, 4, 2702, 17410, 4667, 506, 20635, 4, 26394, 42023, 4269, 98071, 50853, 12483, 230764, 1470, 98071, 8300, 29771, 159696, 2050, 132, 149473, 194, 132, 5666, 36909, 124470, 7972, 6, 148346, 48775, 66168, 49597, 4484, 4, 6, 186955, 88660, 16667, 2882, 84577, 98071, 1211, 4, 119055, 29771, 54574, 98071, 1211, 194, 82839, 148346, 110703, 2754, 2205, 123959, 4, 121495, 1470, 98071, 4852, 9424, 119718, 710, 4, 75230, 58679, 1470, 98071, 4852, 29434, 710, 4, 148346, 6093, 148346, 2442, 3056, 42572, 98071, 6093, 4, 62812, 448, 1470, 98071, 1211, 42572, 98071, 23269, 6293, 5, 119718, 905, 23173, 3131, 12483, 5, 88942, 23173, 98071, 5666, 26, 8300, 26612, 4, 2442, 48775, 26, 8300, 26612, 5, 2702, 29771, 20315, 4, 35044, 101328, 25207, 5, 2808, 98071, 165354, 4, 22426, 7682, 12483, 4, 13458, 98071, 95564, 5, 132, 119718, 23173, 36326, 194, 2808, 69622, 119718, 23173, 710, 84577, 2808, 98071, 23269, 26612, 4, 905, 59929, 26612, 4, 1982, 29771, 20315, 4, 17160, 101328, 20315, 5, 2808, 98071, 39340, 4, 1982, 98071, 39340, 4, 148346, 2442, 98071, 5, 4484, 5, 132, 5666, 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 ]

[ 105235, 21338, 4, 119055, 23173, 2702, 5, 33960, 148346, 5, 16, 85416, 14004, 66293, 4, 3069, 54260, 4, 29434, 54260, 4, 2648, 98071, 21374, 1644, 17645, 32899, 76216, 33716, 56170, 148346, 18640, 185758, 6093, 3373, 26, 2865, 54260, 20315, 1644, 6, 105515, 9934, 98071, 4667, 6, 68558, 4, 2808, 98071, 4852, 1751, 75230, 1211, 364, 21106, 1982, 29434, 710, 5, 132, 148346, 1644, 75230, 23269, 4, 119055, 23173, 2702, 5, 33960, 148346, 5, 16, 2808, 10837, 16, 119718, 23173, 710, 84577, 5, 14004, 66293, 4, 7508, 75230, 4, 29434, 710, 4, 2648, 98071, 6319, 21106, 17645, 32899, 76216, 33716, 56170, 148346, 54260, 4, 2648, 12, 6319, 39083, 17645, 4269, 98071, 2882, 4838, 19302, 23174, 1639, 3142, 2648, 98071, 6, 148346, 29771, 148346, 4113, 4269, 98071, 2882, 4838, 67826, 20260, 5, 132, 22426, 5, 5332, 22426, 29659, 8580, 4, 21374, 2882, 23269, 5, 119718, 23173, 2702, 5, 33960, 148346, 5, 16, 6, 26, 710, 16, 84475, 12, 4151, 21374, 49268, 204982, 4838, 19302, 98071, 23405, 4, 2648, 98071, 6319, 39083, 17645, 4269, 98071, 2882, 4838, 67826, 49597, 20260, 5, 132, 119718, 23173, 36326, 194, 4046, 17727, 119718, 23173, 710, 84577, 5, 2808, 54260, 66293, 4, 9424, 119718, 710, 4, 29434, 54260, 4, 2648, 98071, 6319, 21106, 17645, 204982, 18583, 148346, 710, 74, 2648, 98071, 27855, 22426, 2050, 12483, 657, 75230, 55823, 1211, 125523, 4, 21106, 4113, 3373, 36609, 2205, 145813, 90848, 4667, 5, 132, 22426, 67054, 2702, 132213, 6, 238144, 710, 148346, 90848, 2648, 4, 148346, 26612, 119718, 1644, 29771, 9183, 4, 7508, 142429, 5, 33960, 148346, 5, 16, 80847, 48775, 4852, 4, 6428, 48775, 4, 6, 178107, 4, 16175, 23269, 15231, 25207, 4, 292, 1644, 29771, 2865, 40096, 98071, 78683, 6, 142170, 6, 153222, 15231, 25207, 5, 142170, 10184, 49597, 2702, 40096, 4, 142170, 6, 125830, 15907, 40096, 4, 95564, 39083, 88660, 6, 148346, 33809, 12415, 29060, 2451, 15529, 26612, 8300, 40096, 22426, 710, 40096, 32, 132, 609, 448, 6235, 93509, 96986, 4, 6, 148346, 4113, 30750, 119718, 4, 9183, 148346, 1644, 5, 33960, 148346, 5, 2808, 12825, 16, 119718, 23173, 710, 84577, 5, 48775, 4852, 4, 7508, 119718, 26612, 4, 3373, 3131, 98071, 4, 18906, 29060, 98071, 25207, 4, 1644, 29771, 2865, 40096, 98071, 78683, 6, 142170, 41764, 98071, 2702, 21106, 98071, 5, 142170, 6, 64991, 40096, 3131, 4, 142170, 6, 48253, 33809, 2882, 40096, 2882, 4, 88660, 1644, 6, 78683, 12415, 48775, 61722, 98071, 6, 2050, 22426, 40096, 3131, 5, 132, 2932, 29766, 126968, 119718, 4, 657, 33809, 148346, 1644, 5, 33960, 148346, 5, 16, 77671, 48775, 4852, 4, 6428, 119718, 26612, 4, 6, 48253, 98071, 4, 6, 48253, 16932, 98071, 4, 22426, 710, 35596, 3131, 4, 1751, 29060, 48253, 29771, 710, 153222, 1211, 6, 94741, 17645, 4231, 79238, 48253, 5, 1982, 40096, 39340, 6, 90848, 17645, 10184, 48253, 4, 2882, 98071, 1054, 98071, 113889, 3373, 29771, 148346, 17645, 6, 98071, 50273, 5, 132, 1644, 33809, 148346, 79981, 194, 83679, 48775, 4852, 4, 22444, 26612, 4, 40026, 49597, 4, 153222, 2882, 98071, 25207, 4, 41764, 710, 40096, 5, 905, 98071, 3131, 39083, 6, 170355, 710, 48253, 98071, 4484, 204403, 39478 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 40096, 5, 14303, 2442, 33809, 5666, 123736, 1982, 64260, 7511, 49597, 4484, 119718, 710, 148346, 17645, 119859, 710, 29060, 4, 80453, 137218, 2050, 29771, 1054, 155, 6, 170355, 710, 178107, 78683, 905, 98071, 34575, 17645, 71804, 710, 29060, 4, 22426, 32097, 4, 117902, 6293, 4, 2808, 75230, 4, 1470, 75230, 4, 1470, 75230, 4, 2808, 33809, 11556, 48775, 710, 29060, 170355, 710, 48253, 7682, 6, 97634, 710, 5, 33104, 12299, 7972, 6, 148346, 48775, 66168, 49597, 4484, 4, 6, 186955, 88660, 16667, 2882, 84577, 8580, 4, 1054, 29771, 54574, 98071, 1211, 194, 2808, 75230, 4667, 18583, 3131, 80453, 54260, 2882, 1470, 98071, 1211, 41764, 75230, 1644, 12483, 5, 62946, 17645, 92867, 21106, 65146, 2702, 98071, 4484, 151614, 6, 90848, 90848, 2932, 98071, 5, 142170, 41764, 98071, 96743, 175323, 4, 142170, 6, 48253, 98071, 57277, 710, 4, 95564, 39083, 88660, 20315, 2050, 4231, 17310, 13845, 4, 199145, 6, 148346, 155, 1470, 98071, 56417, 10339, 186955, 2808, 75230, 2702, 1285, 49597, 42572, 48775, 8903, 6, 5, 95564, 39083, 88660, 15, 119718, 98071, 36909, 98071, 1644, 247, 506, 186955, 18225, 3069, 31467, 1285, 49597, 1470, 75230, 8903, 1211, 1470, 33809, 1211, 7369, 94741, 63020, 6428, 47351, 6, 35596, 36909, 53414, 15, 2808, 75230, 6293, 7508, 33809, 2702, 98071, 3131, 16, 874, 98071, 57277, 119055, 13845, 4944, 244640, 4113, 8947, 1470, 98071, 4852, 6, 113889, 54574, 5, 6, 225975, 2882, 7369, 8300, 5, 6, 148346, 5, 41764, 710, 40096, 4, 15, 105780, 6293, 247, 6235, 506, 21295, 18225, 24464, 2808, 98071, 56417, 6, 68558, 6, 148346, 98071, 4852, 10184, 49597, 5666, 6293, 2200, 230764, 6, 159696, 51723, 13159, 21374, 63532, 1470, 75230, 2702, 1285, 49597, 141879, 9424, 29771, 54574, 4, 4151, 8903, 506, 2882, 6, 23173, 75230, 2702, 5, 1470, 75230, 36909, 26, 1211, 55242, 1644, 148346, 12483, 185527, 35189, 113889, 4667, 6235, 101296, 4944, 244640, 2882, 95455, 6, 26394, 54574, 76632, 49597, 3131, 8300, 119718, 98071, 3131, 12483, 1285, 49597, 1470, 98071, 148346, 2442, 98071, 8903, 6, 54260, 23405, 44779, 5, 132, 11851, 1211, 620, 137218, 87311, 119718, 98071, 48253, 4, 33718, 3131, 98071, 1211, 194, 14081, 6, 44478, 212915, 26, 2442, 148346, 54260, 1470, 33809, 54561, 6, 54260, 20315, 1211, 12483, 5, 16, 54745, 76776, 4, 76776, 4, 98071, 7201, 21106, 8580, 13845, 148346, 59929, 95494, 71804, 4, 57277, 71804, 6, 125830, 98071, 5, 2882, 98071, 112216, 48253, 4, 2808, 33809, 22426, 40096, 40096, 2882, 5, 171433, 1211, 48775, 4, 22426, 148346, 1644, 49209, 5, 132, 710, 156562, 8009, 13845, 212915, 4, 3496, 244640, 64260, 5, 2050, 4, 148346, 13159, 23173, 26612, 148346, 5, 6, 33809, 148346, 5, 16, 91887, 48904, 25207, 4, 148346, 48904, 20315, 4, 36909, 6093, 2648, 2200, 119055, 29771, 8903, 1211, 74, 2808, 98071, 153222, 28726, 1470, 26, 6235, 119859, 49008, 3069, 31467, 2050, 68697, 6319, 203749, 12483, 5, 69355, 25093, 148346, 98071, 4852, 3069, 31467, 1285, 49597, 4231, 40096, 39340, 4, 7201, 33809, 1211, 1285, 49597, 4231, 40096, 39340, 148346, 15533, 3069, 31467, 7508, 98071, 4231, 40096, 39340, 5, 148346, 2442, 98071, 4, 6, 148346, 2442, 98071, 4, 6, 148346, 98071, 2442, 4, 13458, 12483, 4, 6, 148346 ]

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

[ 25207, 1211, 4, 6, 148346, 90848, 5666, 36909, 12483, 4, 1982, 218241, 4, 6, 148346, 92605, 9721, 75230, 2882, 4, 47351, 3373, 26, 29659, 23173, 148346, 2882, 4, 1470, 98071, 4852, 18225, 16175, 75230, 2882, 5, 1644, 98071, 4944, 244640, 2882, 44779, 4, 657, 98071, 47332, 44779, 2205, 35189, 220224, 2882, 292, 2932, 39083, 2648, 1470, 33809, 1211, 9934, 98071, 1644, 148346, 6093, 6, 212484, 2882, 18225, 105235, 42023, 47351, 874, 26, 15529, 23741, 4, 80264, 18225, 6235, 42023, 5, 148346, 23173, 113889, 119718, 4, 9181, 148346, 5, 119959, 12483, 4, 20315, 1211, 4, 2648, 29766, 1211, 4, 134067, 120467, 29766, 4113, 5, 137218, 95494, 3069, 31467, 2442, 78683, 4, 710, 50273, 81444, 6, 78683, 29631, 78683, 5, 119718, 59929, 6093, 4, 1054, 59929, 6093, 3373, 12, 292, 2808, 133029, 132, 5594, 33809, 10069, 609, 163139, 2702, 148346, 90848, 2648, 4, 119055, 23173, 36326, 16, 710, 119718, 23173, 710, 47351, 4, 48775, 4, 78683, 87311, 48775, 5, 710, 37016, 3069, 31467, 2442, 78683, 4, 68959, 3131, 6, 90848, 224220, 905, 24152, 174121, 4, 36419, 18415, 4, 2865, 98071, 4, 2442, 54260, 2882, 230764, 1285, 49597, 7508, 75230, 18415, 6319, 33809, 506, 5, 132, 710, 5, 17190, 119718, 2442, 98071, 1211, 4, 6, 148346, 39083, 29771, 101328, 119718, 16, 710, 148346, 119959, 119718, 69596, 84577, 5, 12483, 4, 20315, 1211, 4, 2648, 29766, 26612, 4, 905, 98071, 88660, 87311, 14004, 137218, 710, 37016, 3069, 31467, 2442, 78683, 4, 710, 50273, 81444, 224220, 33809, 2442, 78683, 5, 12483, 4, 20315, 1211, 4, 2648, 33809, 4, 166198, 230764, 7508, 12, 7508, 75230, 18415, 6319, 33809, 506, 5, 121763, 2442, 48904, 113889, 1054, 98071, 2702, 26612, 4, 48775, 23405, 29771, 1054, 98071, 2702, 26612, 5, 12483, 4, 25207, 1211, 4, 10069, 4, 2702, 92605, 48775, 2702, 5, 50856, 710, 73095, 5, 2702, 92605, 48775, 2865, 98071, 16747, 26612, 4, 3373, 5, 78683, 21374, 4, 12483, 4, 4, 10069, 4, 2808, 82036, 2808, 9185, 12483, 4, 119718, 69596, 183718, 137218, 7508, 98071, 2702, 26612, 4, 26612, 163139, 49597, 2702, 26612, 4, 2702, 26612, 1470, 98071, 2702, 26612, 4269, 29771, 4, 92605, 48775, 21087, 64659, 3373, 29771, 5, 92605, 48775, 2702, 98071, 5666, 57277, 3373, 98071, 88660, 3373, 29771, 4, 1211, 4, 1982, 12483, 4, 90848, 5, 9719, 16747, 13845, 6, 238144, 2702, 148346, 90848, 2648, 4, 6, 148346, 26612, 75230, 14303, 142429, 5, 33960, 148346, 5, 16, 148346, 133029, 119718, 23173, 710, 48904, 7972, 12483, 4, 20315, 1211, 4, 90848, 5, 4484, 71577, 109316, 2865, 84577, 26612, 67882, 710, 5, 4484, 71577, 109316, 21292, 183718, 26612, 3373, 98071, 78683, 193042, 710, 5, 12483, 4, 20315, 1211, 4, 48775, 33809, 5, 132, 50856, 1211, 60837, 137218, 87311, 119718, 13497, 2882, 4, 657, 142429, 1211, 16, 710, 120840, 4113, 76776, 4, 148346, 4113, 76776, 4, 78683, 48253, 78683, 6, 105235, 76776, 5, 90848, 170355, 3944, 64659, 78683, 4, 78683, 48253, 78683, 67826, 36909, 78683, 5, 26612, 1982, 33809, 2442, 21106, 98071, 4, 75230, 2050, 2050, 26612, 905, 21106, 5, 4, 1644, 29771, 78683, 6, 26394, 42023, 6, 148346, 218241, 5, 36909, 23173, 3131, 80453, 54260, 2702, 1470, 98071, 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 ]

[ 101807, 4113, 76776, 4, 7508, 33809, 2882, 4, 6, 48775, 148346, 26612, 4113, 35596, 3131, 98071, 4484, 4, 1982, 35596, 2882, 98071, 4484, 4, 95494, 148346, 26612, 5, 4113, 76776, 4, 7508, 33809, 26612, 4, 21776, 46053, 35596, 3131, 7682, 4, 148346, 35596, 3131, 5, 4484, 4, 148346, 6093, 27, 4, 615, 710, 2451, 1285, 7508, 75230, 18415, 6, 108209, 5, 119718, 23173, 710, 183718, 5, 23269, 4, 2702, 4, 13497, 6093, 4, 6319, 33809, 13497, 6093, 4, 13159, 5, 23269, 4, 65482, 4, 26612, 148346, 4113, 4, 4484, 33809, 13497, 6093, 4, 119166, 16932, 4, 905, 57277, 148346, 4113, 5, 4, 207221, 1644, 9915, 54260, 6093, 29771, 119718, 4, 63188, 78683, 36419, 4, 16580, 4113, 119718, 5, 33960, 148346, 5, 16, 118628, 35596, 109316, 4, 1982, 35596, 109316, 4, 3131, 23269, 28726, 6, 121709, 36326, 26, 28726, 247, 95494, 710, 109316, 15, 121709, 36326, 5594, 26, 28726, 194, 26612, 17645, 18415, 4, 148346, 71577, 4113, 18415, 4, 4484, 5666, 137377, 5, 132, 5594, 33809, 10069, 609, 6, 238144, 2702, 148346, 90848, 2648, 4, 119055, 23173, 36326, 16, 2808, 13574, 16, 905, 23173, 21292, 7511, 35596, 109316, 4, 148346, 35596, 109316, 4, 3131, 98071, 4484, 21106, 98071, 36326, 5, 23173, 109316, 4, 148346, 26612, 61541, 4113, 4, 4484, 5666, 137377, 5, 132, 2808, 79422, 1054, 54260, 50856, 710, 148346, 4, 27855, 148346, 2442, 77928, 1211, 5, 4944, 244640, 13845, 2050, 33960, 148346, 22892, 118628, 119718, 23173, 710, 84577, 35596, 109316, 4, 7201, 35596, 109316, 4, 2882, 98071, 4484, 109316, 6, 95494, 1982, 26612, 55823, 4, 12415, 5, 7201, 26612, 55823, 4, 20315, 88660, 2882, 5, 4, 2702, 26612, 4944, 244640, 40096, 3131, 119718, 23173, 2702, 5, 33960, 101080, 31467, 14081, 17190, 506, 212915, 148346, 710, 1470, 33809, 54561, 4231, 33809, 25207, 1211, 10069, 21374, 5666, 25207, 7508, 159696, 21295, 2932, 13574, 16, 119718, 23173, 710, 84577, 35596, 109316, 4, 148346, 35596, 109316, 4, 3131, 98071, 4484, 109316, 4, 1751, 54260, 4113, 5, 4944, 71577, 6093, 33809, 4, 148346, 71577, 16870, 905, 4, 4484, 113889, 2882, 5, 132, 2865, 5, 42572, 128117, 212915, 4, 3373, 29771, 4944, 174121, 4113, 119718, 194, 131290, 43178, 2442, 109316, 4, 148346, 141943, 109316, 4, 2808, 7682, 48775, 148346, 29771, 292, 29771, 87311, 1211, 43649, 48904, 26394, 2808, 98071, 16629, 23173, 98071, 1644, 98071, 5, 2808, 98071, 4484, 98071, 4, 22426, 98071, 4484, 98071, 4, 148346, 29771, 2865, 148346, 21106, 98071, 4484, 98071, 21106, 710, 72321, 4, 22426, 21106, 710, 72321, 4, 55823, 66293, 5, 132, 506, 6093, 7611, 6, 148346, 6093, 110970, 2702, 54260, 1211, 4, 1751, 98071, 3131, 28726, 119718, 98071, 48253, 4, 23847, 142429, 59461, 33960, 148346, 5, 16, 112227, 216510, 1211, 7201, 33809, 16932, 1211, 4, 7916, 49597, 16932, 1211, 4, 212915, 8903, 28726, 1751, 29771, 148346, 4113, 4, 7508, 75322, 57277, 57277, 5, 4484, 33809, 16803, 7369, 6, 101328, 4, 4484, 33809, 63532, 7369, 3523, 98071, 29659, 4, 1644, 98071, 98833, 7508, 6093, 213909, 48253, 98071, 46985, 75230, 7201, 26, 1211, 16175, 98071, 3131, 101296, 47332, 4151, 213909, 48253, 7682, 12, 874, 98071, 7511, 63593, 33809, 5, 56052, 657, 98071, 30750, 4, 4269 ]

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

[ 33809, 18415, 97816, 5, 76632, 1211, 4, 148346, 4113, 69106, 4, 1982, 29771, 4667, 5, 132, 2882, 75230, 148346, 4113, 6, 71804, 13805, 4, 118445, 77928, 49597, 1211, 4, 4944, 244640, 13845, 46685, 4269, 33809, 148346, 5, 2808, 121387, 216510, 4113, 4, 2882, 216510, 4113, 4, 2882, 33809, 2050, 123073, 905, 40096, 3131, 39478, 2050, 4, 195054, 46598, 4, 65577, 4, 1644, 23173, 59461, 40096, 3131, 5, 16580, 2451, 2882, 7369, 6, 101328, 4, 4484, 33809, 63532, 7369, 3523, 98071, 16803, 4, 1644, 98071, 98833, 7508, 6093, 213909, 1982, 15949, 46985, 75230, 7201, 26, 1211, 16175, 98071, 3131, 5, 225975, 2882, 4151, 213909, 48253, 5, 4484, 12, 101296, 23269, 4, 874, 98071, 23269, 6, 97634, 5, 2865, 71512, 4, 3944, 30750, 4, 2932, 33809, 18415, 32054, 29771, 5110, 31467, 2442, 75230, 418, 5, 135541, 57619, 4484, 4, 7508, 142429, 5, 33960, 148346, 5, 16, 148346, 121387, 119718, 23173, 710, 84577, 5, 35596, 48775, 4, 2882, 35596, 48775, 4, 34079, 16932, 29771, 119718, 40096, 3131, 74, 8903, 28726, 1751, 39083, 12483, 657, 23173, 59461, 29771, 119718, 40096, 3131, 5, 4484, 33809, 16803, 7369, 6, 101328, 4, 4484, 33809, 16803, 7369, 3523, 98071, 29659, 4, 1644, 98071, 13497, 7508, 6093, 213909, 48253, 98071, 46985, 75230, 36909, 26, 1211, 16175, 98071, 3131, 5, 225975, 2882, 1285, 49597, 6, 78683, 7611, 12, 9719, 5332, 101296, 16175, 208048, 4, 1644, 98071, 148346, 4113, 32054, 33809, 24621, 32054, 75230, 5, 132, 105514, 6319, 33809, 2442, 84577, 4, 6, 50273, 4113, 4113, 54260, 4113, 4, 90848, 20315, 46685, 33960, 148346, 5, 16, 125136, 4113, 2932, 34709, 98071, 26394, 4484, 4, 109636, 179561, 98071, 26394, 4484, 4, 153222, 136108, 171433, 98071, 48706, 39083, 98071, 26394, 4484, 5, 76776, 192183, 29771, 163139, 49597, 22426, 23173, 26612, 4, 76776, 193012, 29771, 6, 148346, 4113, 69106, 5, 119055, 23173, 710, 84577, 12, 905, 148346, 135118, 710, 5, 132, 3131, 98071, 55546, 29766, 23269, 4, 7508, 142429, 5, 33960, 148346, 194, 123001, 135118, 1644, 4, 17645, 177243, 4, 29771, 78683, 32887, 4, 2808, 98071, 34365, 26612, 7508, 98071, 101296, 32887, 5, 2808, 33809, 7511, 3523, 64260, 4, 4484, 33809, 3131, 1470, 98071, 1211, 9721, 64260, 1211, 905, 23173, 710, 4, 1054, 23173, 98071, 4, 148346, 33809, 148346, 710, 48706, 64260, 5, 132, 2808, 98071, 36419, 4113, 58571, 84577, 4, 6428, 39293, 128722, 12, 26394, 4, 90848, 2648, 5, 4269, 33809, 2442, 5, 16, 13023, 16, 135118, 4113, 4, 148346, 135118, 4113, 4, 124470, 26659, 9424, 135118, 4113, 5, 52, 5, 65577, 620, 120467, 148346, 6093, 1644, 6, 148346, 26612, 2050, 5, 159377, 4, 6, 159377, 4, 7201, 23173, 212484, 3523, 26, 29659, 2442, 7682, 5, 710, 47351, 4, 4231, 47351, 4, 27720, 76216, 2442, 2205, 6, 448, 12, 2808, 5, 149364, 4, 29659, 98071, 59919, 4, 710, 33809, 23405, 6093, 212915, 5, 132, 710, 156562, 17824, 24295, 148346, 6093, 2932, 4, 657, 33809, 88660, 905, 4, 222572, 1644, 5, 4269, 33809, 148346, 5, 16, 133029, 43178, 2442, 39293, 4, 20315, 16747, 25603, 4, 2442, 98071, 25207, 6, 48775, 30750, 22426, 48904, 98071, 6235, 76776, 107581, 5, 8300, 33809, 2050, 4, 49792, 4, 149364, 23269 ]

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

[ 204403, 2050, 5, 2808, 75230, 2702, 4, 2865, 75230, 4852, 4, 8903, 506, 6, 23173, 75230, 2702, 5, 132, 17645, 1982, 99295, 6428, 33809, 148346, 13845, 212915, 4, 7508, 98071, 159696, 1211, 5, 4944, 244640, 13845, 46685, 30109, 54260, 4852, 5, 1388, 116553, 135118, 4113, 4, 2648, 148346, 135118, 4113, 4, 10918, 39340, 7508, 24621, 4, 26612, 12890, 4, 94741, 148346, 710, 4, 2442, 33809, 18415, 6428, 24621, 5, 661, 16, 13845, 48253, 98071, 2050, 4, 125830, 13845, 48253, 98071, 2050, 5, 55546, 98071, 4667, 1470, 98071, 1211, 137, 22426, 20260, 2702, 4, 1054, 98071, 1644, 23269, 4, 3947, 25207, 155, 25491, 75230, 2050, 4, 2865, 75230, 4852, 4, 8903, 506, 6, 23173, 75230, 2050, 5, 132, 67054, 14088, 6235, 44478, 4, 220273, 95564, 16870, 4, 28726, 148346, 1644, 5, 33960, 148346, 5, 16, 129507, 43178, 25207, 4, 7201, 43178, 25207, 4, 13342, 5666, 25207, 14856, 74, 26612, 148346, 1644, 4, 7201, 26612, 17160, 4, 2648, 98071, 4231, 65482, 5, 2808, 125897, 4, 7916, 49597, 39340, 4, 23847, 40096, 40096, 125897, 5, 661, 16, 171433, 48253, 7682, 4, 2050, 171433, 48253, 7682, 4, 170355, 710, 47351, 41764, 710, 46598, 5, 132, 186565, 14081, 3373, 142170, 90848, 119718, 4, 15857, 6093, 46985, 2702, 37016, 98071, 4113, 159696, 2442, 4269, 33809, 148346, 5, 16, 117413, 12483, 51723, 4, 2882, 98071, 59461, 4, 96743, 76216, 39083, 29771, 60980, 200117, 98071, 59461, 5, 2702, 29766, 39083, 29771, 88660, 4, 2882, 98071, 88660, 6, 97634, 88660, 5, 13845, 98071, 4484, 4, 148346, 13845, 5, 4484, 4, 148346, 29771, 2050, 5, 132, 710, 47293, 2754, 6, 75230, 2702, 148346, 90848, 2648, 4, 119055, 23173, 36326, 194, 26612, 119055, 23173, 710, 84577, 6235, 7916, 49597, 13497, 9934, 98071, 4667, 2205, 137, 22426, 20260, 2702, 2909, 2808, 88235, 119718, 23173, 710, 84577, 5, 141943, 4113, 7508, 98071, 7511, 4, 2702, 26612, 119718, 23173, 4113, 6, 78683, 148346, 98071, 3111, 31467, 5, 26612, 710, 33809, 4, 148346, 26612, 710, 33809, 4, 148346, 29771, 2050, 5, 132, 4484, 98071, 57619, 4484, 4, 7508, 142429, 5, 33960, 148346, 16, 74329, 4113, 57619, 26612, 4, 159696, 57619, 26612, 4, 75230, 4484, 208048, 7201, 26612, 5, 100863, 98071, 4667, 6, 5, 22426, 20260, 2702, 155, 6, 12130, 5, 81915, 22426, 710, 194706, 68173, 1211, 10069, 114955, 25603, 21295, 4, 3373, 120467, 4, 41764, 33809, 48775, 5, 68959, 2702, 98071, 2050, 4, 68959, 2882, 98071, 2050, 5, 30979, 4, 7508, 163177, 98071, 2050, 4, 6, 87311, 57277, 13292, 21106, 120467, 26612, 5, 12483, 4, 95766, 4, 30473, 2808, 23269, 4, 710, 26, 2702, 98071, 2442, 4838, 165513, 98071, 39340, 1644, 10339, 64260, 6093, 48904, 8580, 5, 119718, 23173, 36326, 194, 5, 29557, 4113, 4, 2442, 98071, 5666, 8903, 4, 609, 26659, 3373, 98071, 5666, 8903, 292, 17645, 13805, 1470, 33809, 1211, 6, 136108, 54260, 2050, 98071, 2932, 3523, 33809, 2865, 6, 148346, 12415, 5, 14004, 55546, 4, 29659, 2442, 29766, 1644, 4, 4484, 33809, 63532, 3069, 31467, 147582, 506, 12483, 2451, 26612, 46244, 148346, 17171, 31467, 26, 2702, 6319, 119859, 40920, 5, 132, 43590, 61621, 6, 128750, 98071, 2648, 212915, 4, 193042, 1982, 40096, 36326, 119718 ]

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

[ 16, 77814, 2808, 24295, 39248, 98071, 39340, 4, 7511, 59461, 98071, 39340, 4, 506, 39083, 89930, 23269, 6, 148346, 2442, 98071, 165354, 1211, 2702, 88945, 44779, 2200, 163139, 30750, 44779, 8903, 506, 12483, 6319, 33809, 39340, 26612, 26, 48775, 75578, 1470, 98071, 26, 6319, 186955, 5, 25391, 710, 12483, 22753, 12, 6235, 48775, 50853, 2932, 4484, 33809, 47332, 123073, 4, 4484, 40096, 16932, 4113, 4, 23173, 75230, 2702, 5, 132, 5666, 12299, 31467, 7972, 6, 148346, 48775, 2865, 29171, 4, 2702, 2702, 84577, 98071, 1211, 4, 119055, 29771, 506, 79981, 194, 2525, 16, 808, 5, 46598, 3496, 26612, 4, 3496, 26612, 4, 155, 2050, 16175, 98071, 4, 16175, 98071, 4, 46598, 6, 2050, 39083, 20315, 119718, 98071, 2050, 39340, 4, 3373, 39083, 35189, 98071, 64310, 657, 68697, 33809, 15200, 506, 16, 6, 148346, 448, 6, 148346, 120467, 5, 710, 155, 22639, 6093, 1470, 98071, 26, 23050, 119859, 49008, 564, 23173, 12483, 418, 2451, 2882, 7369, 98071, 1644, 4, 5, 37460, 6, 75578, 98071, 1644, 4, 27, 910, 42572, 5, 5, 7611, 657, 29771, 4667, 939, 6, 76776, 1285, 49597, 2442, 6, 26, 609, 27, 609, 1470, 33809, 1211, 657, 37016, 2865, 98071, 95064, 710, 204403, 35465, 4, 53414, 4, 506, 98071, 39340, 48253, 7682, 4, 13497, 2702, 5, 4484, 4, 26612, 75230, 4484, 5, 26612, 2050, 74, 35596, 3131, 7682, 4, 1982, 35596, 46545, 4, 2648, 59929, 5, 119055, 12483, 4, 132, 710, 156562, 99295, 6428, 33809, 148346, 13845, 710, 47351, 4, 4944, 244640, 13845, 46685, 33960, 148346, 5, 16, 69622, 2702, 98071, 159696, 4, 3373, 54260, 4113, 4, 2702, 54260, 25603, 2932, 119859, 129891, 34654, 55546, 12415, 25207, 5, 218241, 13159, 4, 148346, 218241, 13159, 4, 1982, 127684, 3373, 2702, 218241, 13159, 17171, 1644, 4, 23982, 1644, 4, 7201, 33809, 2882, 2882, 5, 37189, 148346, 5, 132, 159696, 155341, 127827, 4, 5332, 2808, 88942, 119718, 23173, 137218, 107829, 21087, 148346, 4113, 4, 3373, 5, 148346, 4113, 4, 2702, 15435, 29771, 15, 15435, 19721, 119859, 129891, 17824, 75230, 132, 2808, 88945, 194, 14004, 94741, 98071, 48253, 41764, 25207, 48253, 5, 90848, 13497, 6, 23173, 37016, 5, 71204, 48350, 1644, 4, 12483, 5, 1644, 4, 2702, 67283, 6319, 48350, 13845, 5, 16847, 6255, 48494, 203232, 5, 23269, 506, 6255, 10339, 50856, 148346, 13292, 26, 28726, 2050, 364, 75230, 4852, 4, 71512, 168892, 4838, 16175, 71512, 7511, 36419, 44779, 70845, 5, 2648, 28317, 506, 42572, 16870, 6093, 4, 27855, 148346, 25207, 149311, 4, 2451, 71204, 119718, 23173, 710, 183718, 15533, 5, 1644, 4, 48350, 98071, 1644, 4, 2702, 4667, 6319, 48350, 15350, 5, 218241, 448, 4, 218241, 98071, 2050, 4, 7511, 64659, 26612, 2050, 3523, 54260, 1211, 5, 148346, 6093, 98071, 1644, 4838, 75290, 212915, 4, 119055, 23173, 5, 71204, 119718, 23173, 137218, 710, 48350, 100863, 4, 2702, 48350, 98071, 1644, 4, 2702, 67283, 6319, 48350, 5, 1644, 5, 506, 29771, 75578, 4, 6, 170355, 79981, 4, 13458, 75230, 2882, 874, 98071, 2882, 71612, 21106, 8580, 5, 132, 18553, 2648, 4944, 244640, 710, 1054, 59929, 93497, 97634, 710, 26, 119055, 23173, 36326, 194, 43317, 13159, 148346, 40096, 657, 33809, 129891, 4, 26394, 2702, 1982 ]

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

[ 40096, 6319, 29766, 21106, 5, 170355, 96986, 4, 22426, 28726, 96986, 22426, 29766, 1054, 21106, 29060, 12483, 5, 105439, 4, 506, 59929, 4, 4484, 76776, 2050, 5, 132, 11851, 1211, 874, 38054, 12890, 6, 119859, 50853, 148346, 6093, 2932, 4, 3131, 16870, 28726, 89930, 33960, 148346, 70265, 2808, 75230, 6293, 6428, 80885, 506, 2882, 6, 23173, 7511, 28726, 4, 4484, 33809, 20911, 5332, 1982, 4, 6319, 5, 20911, 8947, 2865, 98071, 2882, 6, 48904, 26, 2808, 71512, 28726, 5, 16580, 39340, 50856, 98071, 2932, 4838, 506, 6093, 4, 6, 98055, 43178, 162642, 171433, 2050, 3373, 75230, 1211, 6, 101328, 4, 6, 84577, 6428, 54260, 1211, 101328, 4, 6, 101328, 4, 6, 101328, 5, 132, 119718, 98071, 36419, 2932, 90848, 710, 4, 41764, 101328, 8300, 39340, 204403, 63849, 29766, 7682, 4, 95564, 165592, 21106, 4, 97634, 148346, 98071, 3373, 39083, 2648, 40096, 119718, 16803, 21106, 5, 50853, 40096, 6, 48775, 113889, 32206, 48775, 710, 64260, 4, 31623, 40096, 112216, 63849, 34533, 26612, 101328, 57277, 23173, 150349, 121865, 2205, 41764, 75230, 1644, 12483, 43317, 92867, 39340, 4, 148346, 26612, 1982, 39340, 4, 36909, 48904, 15907, 78683, 2932, 23822, 98071, 6319, 137377, 29789, 16580, 6, 189623, 98071, 3131, 78683, 77578, 2882, 4, 3523, 54260, 2882, 4, 142170, 3496, 59929, 21087, 4, 137218, 119055, 26, 6, 2050, 39083, 48775, 155, 24621, 112216, 69031, 5, 132, 905, 23173, 2702, 29771, 16, 71716, 2808, 75230, 10918, 2702, 4, 29789, 27137, 4, 16580, 4944, 244640, 2882, 4838, 6, 148346, 29766, 13497, 37016, 177148, 7508, 6093, 6, 21106, 16932, 1470, 33809, 1211, 5332, 57277, 10339, 5, 5, 710, 5, 16580, 2451, 2882, 7508, 6093, 4231, 33809, 23405, 6093, 2648, 98071, 42572, 98071, 23405, 6093, 5, 4484, 33809, 63532, 7508, 6093, 22639, 6093, 92500, 657, 87442, 7508, 12, 564, 54260, 59461, 132, 5666, 36909, 124470, 7972, 6, 148346, 48775, 66168, 49597, 4484, 4, 6, 101328, 16803, 84577, 8580, 4, 119055, 29771, 54574, 98071, 1211, 16, 710, 78255, 905, 59929, 6093, 48706, 63593, 22426, 21106, 5, 4, 506, 29060, 35189, 3069, 31467, 151614, 1982, 12483, 4, 13342, 75290, 3069, 31467, 3523, 59929, 12483, 4, 78683, 506, 4113, 3069, 31467, 2050, 6, 148346, 37016, 6093, 5, 506, 115731, 4852, 18415, 4, 4667, 1982, 115731, 4852, 2702, 4, 90848, 2050, 6, 137218, 92867, 21087, 33809, 9934, 98071, 4667, 17824, 75230, 2702, 32, 12415, 1211, 10184, 75578, 2939, 33809, 18415, 6235, 506, 2882, 657, 75230, 4852, 5, 2648, 91799, 19302, 54260, 59461, 4, 4838, 32206, 25222, 148346, 5, 16, 88586, 6, 98071, 2882, 6, 36609, 33809, 119718, 26612, 137218, 120439, 165592, 21106, 6, 46053, 2451, 78683, 33809, 4, 21374, 45629, 33809, 2050, 8580, 5, 506, 29789, 21422, 2702, 148346, 23173, 98071, 2865, 148346, 26612, 68542, 24244, 2050, 5, 2442, 33809, 5, 1470, 75230, 212413, 4, 2702, 75230, 44693, 4, 137218, 7213, 119718, 26612, 2050, 364, 29789, 4, 11211, 4, 76776, 26425, 98071, 6, 9416, 16629, 32, 16, 73136, 15908, 15857, 36909, 15907, 4, 1054, 23173, 3131, 12483, 5, 1644, 2451, 16629, 14236, 4667, 4484, 75230, 4775, 5, 11540, 16, 137218, 3373, 78683, 905, 21106, 12, 1470, 48775, 57277, 4, 1470, 48775, 101296, 4, 1470, 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 ]

[ 101296, 4, 137218, 6, 23173, 75230, 105439, 25933, 29257, 2882, 2050, 5, 119055, 194734, 88660, 710, 64310, 6, 75230, 142170, 119718, 75322, 26612, 74, 2808, 75230, 2702, 4, 1470, 75230, 2050, 4, 1470, 5, 5, 6, 76776, 117902, 2442, 33809, 64310, 34654, 7511, 6093, 59929, 26612, 5, 119718, 905, 29766, 36326, 16, 29766, 4113, 4, 2808, 110156, 6, 90848, 17645, 5, 119718, 23173, 710, 84577, 5, 137218, 120439, 165592, 21106, 7544, 42410, 23173, 905, 895, 5, 4484, 4, 905, 98071, 7508, 40096, 148346, 905, 43393, 4484, 4, 10918, 49597, 2865, 148346, 23173, 33809, 5, 564, 120467, 5, 132, 2882, 75230, 148346, 4113, 6, 71804, 13805, 4, 73095, 148346, 25207, 149311, 4, 506, 29789, 4, 11211, 4, 13845, 46050, 3149, 5, 113889, 2648, 119718, 2702, 98071, 1211, 5, 5, 8300, 238144, 18415, 1470, 22426, 2882, 54260, 1644, 33809, 23405, 5, 3131, 22426, 15350, 12483, 5, 10837, 16, 3131, 25603, 148346, 13845, 5, 8300, 75230, 114955, 95455, 51453, 874, 54260, 2648, 44779, 16, 6, 123844, 115222, 8903, 1211, 16175, 26, 183512, 123073, 23050, 46244, 12483, 7746, 68558, 6, 148346, 54260, 1285, 152, 141943, 2205, 4151, 6319, 159696, 2442, 15, 25207, 4944, 244640, 18415, 7508, 183512, 3069, 21776, 4944, 244640, 18415, 7508, 183512, 4, 51605, 107581, 3069, 31467, 7972, 20260, 4113, 16, 1470, 33809, 1211, 18225, 1751, 36419, 21295, 9934, 98071, 4667, 230764, 1285, 145813, 8580, 6, 223390, 6093, 10339, 33809, 1211, 1285, 6, 131445, 2205, 1470, 54260, 16667, 2702, 26, 183512, 123073, 21422, 46244, 21422, 7746, 4, 43649, 20616, 186797, 4838, 79981, 7265, 26, 1211, 1470, 75230, 148346, 93497, 96986, 133933, 6, 75290, 59919, 2808, 75230, 2702, 2932, 21660, 75230, 8903, 1211, 230764, 4838, 506, 98071, 13497, 6093, 4, 1470, 33809, 1211, 874, 26, 13982, 20616, 2882, 9934, 98071, 4667, 199145, 6, 75322, 39083, 9915, 13845, 6093, 15, 51723, 3131, 159696, 148346, 2882, 5, 2205, 3373, 26, 4852, 23405, 2882, 21422, 1211, 46985, 1211, 119718, 46646, 6093, 5, 19, 14783, 5, 748, 7961, 420, 2451, 4, 101608, 6, 5, 25933, 6, 5, 5332, 4667, 6, 101608, 292, 119055, 29771, 6, 5, 6319, 47351, 33104, 15864, 1285, 6, 1211, 6, 31212, 29434, 20616, 2882, 54745, 1644, 6, 5, 25093, 24857, 18167, 40026, 33716, 32887, 6, 5, 97483, 6428, 18250, 1751, 12483, 657, 218241, 6, 88660, 40920, 78683, 1211, 45629, 30750, 5, 6, 75230, 4667, 506, 59929, 6093, 4, 48775, 2050, 67537, 10813, 21776, 506, 2882, 7746, 74, 10069, 27702, 24621, 6, 88660, 47332, 657, 29771, 36326, 2932, 20315, 16175, 40096, 6, 33716, 22753, 5, 2808, 85416, 148346, 85416, 2932, 85416, 506, 29789, 418, 36326, 4, 17288, 15533, 36419, 3944, 189623, 2442, 4, 1982, 26, 506, 29771, 148346, 4838, 9934, 98071, 2702, 12483, 67882, 96986, 74, 1982, 26, 85465, 200117, 36324, 710, 36419, 1751, 159696, 61397, 98071, 1211, 4, 1982, 26, 85465, 200117, 4838, 16175, 137377, 874, 98071, 2882, 45521, 35189, 1211, 5, 119718, 23173, 36326, 16, 10069, 200795, 3373, 226112, 36909, 4113, 1470, 98071, 4852, 56170, 150349, 166198, 3496, 195164, 1470, 98071, 1211, 6, 119859, 69106, 41764, 75230, 1644, 12483, 5, 119718, 23173, 710, 84577, 5, 78683, 1211, 905, 59929, 6093, 4, 7508, 18167, 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 ]

[ 101608, 4, 2648, 120467, 105884, 13845, 29434, 20616, 2882, 8248, 4667, 74, 2648, 98071, 16175, 174121, 6, 88660, 47332, 657, 218241, 3131, 12483, 4, 2442, 6093, 16175, 174121, 129165, 506, 2882, 9934, 98071, 4667, 5, 506, 6093, 48494, 203232, 9934, 36326, 143064, 12483, 4, 1982, 26, 506, 29771, 148346, 4838, 220224, 12483, 6, 57277, 96986, 74, 1982, 26, 506, 29771, 148346, 4838, 16175, 137377, 7265, 45521, 35189, 1211, 4, 1982, 26, 85465, 200117, 4838, 6, 212915, 4838, 1751, 25207, 61397, 2884, 5, 4944, 26, 85465, 200117, 4838, 6, 212915, 48904, 26, 21106, 51723, 4, 2442, 98071, 1644, 7369, 9934, 98071, 4667, 148346, 26612, 506, 21106, 96986, 5, 7511, 49597, 29659, 564, 54260, 97634, 2932, 4, 5666, 29766, 6, 148346, 710, 76776, 47332, 4, 2882, 98071, 25207, 1211, 16175, 75230, 25207, 1211, 2451, 8300, 33809, 8903, 101296, 47332, 5, 132, 905, 23173, 36419, 194, 119718, 23173, 710, 84577, 5, 78683, 1211, 48775, 2050, 6093, 4, 163139, 4667, 506, 59929, 6093, 4, 90848, 2050, 7508, 6093, 13845, 29434, 20616, 2882, 7746, 74, 2648, 98071, 67882, 36419, 6, 88660, 92867, 2882, 657, 218241, 3131, 12483, 4, 2442, 6093, 16175, 174121, 6, 128750, 20616, 2882, 7746, 5, 506, 54260, 4, 120470, 4, 76776, 17410, 28320, 2451, 4944, 26, 506, 29771, 148346, 4838, 22753, 1982, 12483, 57277, 96986, 5, 506, 64260, 3496, 6235, 8903, 2702, 12483, 6319, 21106, 18415, 10339, 66293, 5, 506, 64260, 7369, 7746, 16175, 93704, 29766, 148346, 12483, 4, 68313, 5332, 6235, 27720, 76216, 25207, 1211, 230764, 1285, 49597, 6, 128750, 54260, 4113, 9181, 159212, 4, 68313, 5332, 205814, 29771, 1982, 12483, 132, 14857, 506, 15857, 36909, 15907, 4, 119055, 23173, 36326, 194, 119718, 23173, 710, 84577, 5, 2648, 120467, 7369, 13845, 4, 6, 17645, 69106, 7508, 6093, 13845, 13982, 20616, 2882, 6, 98071, 4667, 74, 77344, 101080, 14081, 17190, 506, 212915, 7511, 1470, 33809, 54561, 6, 54260, 20315, 1211, 10069, 114955, 159696, 21295, 10069, 67882, 24621, 6, 88660, 47332, 657, 218241, 3131, 12483, 4, 2442, 6093, 16175, 174121, 32054, 77188, 8248, 4667, 5, 2648, 98071, 67882, 24621, 88660, 63532, 4838, 6, 101328, 4667, 25207, 2050, 6, 57277, 96986, 2882, 33809, 2882, 1054, 20616, 7508, 6093, 6, 148346, 75230, 4667, 5, 132, 36326, 148346, 25207, 149311, 4, 31807, 46685, 30109, 54260, 4852, 16, 2648, 85416, 119718, 23173, 710, 84577, 5, 506, 29789, 119055, 59929, 6093, 4, 6, 138194, 1054, 59929, 6093, 4, 90848, 2050, 105884, 13845, 29434, 20616, 2882, 9934, 98071, 4667, 74, 2648, 98071, 6, 148346, 29771, 148346, 4113, 6, 88660, 40920, 657, 218241, 3131, 12483, 4, 35189, 22753, 25207, 129165, 506, 2882, 9934, 98071, 4667, 5, 132, 4484, 98071, 57619, 4484, 4, 7508, 29766, 5, 33960, 148346, 5, 16, 506, 85416, 119718, 23173, 710, 84577, 5, 506, 64260, 6, 78683, 126968, 4, 874, 23173, 98071, 23269, 4, 90848, 2050, 7508, 6093, 13845, 29434, 20616, 2882, 9934, 98071, 4667, 74, 2648, 98071, 67882, 24621, 6, 88660, 40920, 657, 218241, 3131, 12483, 4, 20315, 16175, 174121, 129165, 506, 2882, 9934, 98071, 4667, 5, 905, 148346, 23173, 26394, 119718, 4, 118473, 1644, 5, 4269, 54260, 5, 16, 905, 85416, 119718, 23173, 710, 84577, 5, 506 ]

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

[ 29771, 148346, 8300, 59929, 26612, 67882, 12415, 208048, 2648, 120467, 105884, 13845, 27, 1470, 5, 36324, 5, 1054, 5, 132, 50273, 58032, 98071, 26394, 4, 7508, 142429, 5, 33960, 148346, 5, 16, 910, 69072, 119718, 23173, 710, 84577, 5, 88660, 170355, 48253, 218241, 4, 6319, 33809, 2050, 6, 57277, 57619, 12483, 4, 90848, 2050, 7508, 6093, 13845, 27, 1470, 5, 6, 47351, 5, 119055, 5, 132, 119718, 23173, 36326, 16, 82036, 2808, 98071, 1211, 77756, 1211, 171665, 10125, 5, 905, 12483, 18225, 145813, 98071, 21295, 7746, 1470, 98071, 1211, 4838, 5816, 15703, 4, 2205, 77756, 1211, 710, 15949, 506, 4, 9934, 98071, 23405, 2882, 18225, 5, 137218, 4667, 6, 148346, 98071, 1211, 4151, 77756, 1211, 4, 2442, 33809, 6, 148346, 98071, 4852, 2882, 1285, 49597, 6, 148346, 10125, 4, 2451, 57277, 57619, 12483, 49027, 12483, 9719, 25207, 44779, 76961, 5, 137218, 4667, 564, 98071, 1211, 7508, 6093, 3373, 66317, 4, 2648, 33809, 6, 148346, 98071, 4852, 2882, 1285, 49597, 60837, 148346, 506, 4, 2451, 2442, 6093, 12483, 20033, 9934, 98071, 4667, 145813, 98071, 1644, 12483, 92500, 137, 148346, 29771, 69801, 710, 21106, 39340, 2909, 710, 23173, 49027, 220224, 1211, 191795, 148346, 4113, 2808, 33809, 1211, 6428, 33809, 1054, 119273, 220224, 1211, 3944, 21106, 39340, 2451, 137218, 4667, 49027, 6, 109995, 6, 30033, 2808, 33809, 1211, 7508, 33809, 119055, 119273, 220224, 1211, 46855, 171665, 506, 5, 4852, 98071, 23405, 125830, 4, 6, 201237, 125830, 4, 710, 33809, 5666, 8903, 44779, 76961, 4, 137218, 20260, 109316, 1470, 98071, 4852, 7508, 6093, 364, 8580, 4, 36909, 18640, 109316, 1470, 98071, 4852, 1285, 49597, 2376, 506, 5, 132, 2702, 29771, 4944, 40096, 36326, 119718, 4, 119055, 23173, 2702, 5, 33960, 148346, 5, 16, 134463, 2932, 48775, 2050, 29659, 48775, 2050, 2865, 26, 710, 18415, 21295, 7746, 4838, 68550, 7508, 142429, 4, 364, 186955, 186797, 9934, 98071, 4667, 6, 148346, 710, 1285, 49597, 185182, 2442, 4, 1470, 33809, 1211, 1470, 54260, 155, 61397, 15, 35189, 1470, 75230, 2702, 8903, 26394, 506, 21295, 53414, 6235, 506, 2882, 4838, 68550, 1470, 33809, 1211, 6, 23173, 33809, 2050, 10676, 7508, 142429, 24464, 29434, 75230, 2702, 12483, 2808, 33809, 1211, 364, 186955, 4838, 78104, 4944, 13845, 1470, 98071, 1211, 4151, 364, 183512, 2205, 76961, 9934, 98071, 5666, 49008, 4151, 148346, 54260, 12, 2932, 48775, 2050, 29659, 48775, 2050, 4, 506, 186955, 205026, 3069, 4, 1982, 26, 159696, 1644, 1285, 49597, 2442, 5332, 22426, 13159, 1054, 239162, 1211, 12, 1982, 26, 506, 29771, 148346, 56170, 1644, 75230, 25207, 1211, 4231, 33809, 183216, 1054, 33809, 42023, 4, 101296, 4667, 874, 98071, 2442, 230764, 3523, 26, 119859, 32206, 13845, 5, 2808, 98071, 1211, 4151, 9424, 54260, 2882, 3120, 4838, 144532, 8903, 42023, 6, 212484, 2702, 7369, 6, 148346, 54260, 1470, 54260, 119132, 6, 23173, 137377, 95455, 16175, 98071, 4944, 244640, 13845, 95766, 119055, 12483, 18225, 6, 186797, 2882, 95455, 88911, 13845, 6, 148346, 1644, 54260, 148346, 2882, 5332, 6, 105235, 42023, 5, 1470, 75230, 148346, 4151, 4, 6, 148346, 54260, 6, 159696, 51723, 2648, 4852, 2702, 78104, 4944, 13845, 657, 98071, 98833, 4, 6, 148346, 4113, 46685, 20911, 8947, 3523, 98071, 29659, 2200, 29434 ]

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

[ 20616, 2882, 7746, 3523, 98071, 29659, 1470, 75230, 2702, 4, 40611, 8947, 2808, 75230, 2702, 4231, 364, 75230, 148346, 12483, 4, 6, 148346, 33809, 1211, 7369, 6, 23173, 75230, 2702, 8903, 42023, 42572, 33809, 1211, 7508, 142429, 2200, 6, 23173, 52480, 8903, 42023, 95455, 7508, 142429, 6, 189098, 26, 1211, 2882, 98071, 4944, 244640, 13845, 47833, 4231, 114436, 4, 199145, 1470, 98071, 4852, 56170, 1470, 98071, 56417, 6, 23173, 52480, 8903, 240863, 56880, 4, 6235, 506, 2882, 6, 23173, 54260, 1211, 230764, 220224, 1211, 99766, 4, 2205, 874, 201237, 2882, 4838, 710, 75230, 163139, 49597, 42572, 65606, 6093, 132, 119718, 23173, 36326, 194, 5, 88235, 119718, 69596, 84577, 5, 101296, 12415, 47351, 4, 67882, 12415, 47351, 4, 364, 77188, 220273, 3069, 31467, 4, 1982, 26, 13845, 6255, 162218, 6, 225975, 12483, 12, 92867, 26, 85465, 200117, 3373, 21106, 75230, 12483, 4838, 26, 14004, 57619, 98071, 8903, 6, 97634, 4944, 244640, 16932, 4, 2702, 26612, 47332, 874, 98071, 2442, 230764, 21776, 2050, 220273, 96986, 4, 2442, 6093, 220273, 96986, 37826, 7746, 23173, 33809, 25603, 136108, 20616, 2882, 4, 92500, 6, 226994, 37826, 20315, 2050, 30109, 48904, 7611, 6, 148346, 26612, 105235, 506, 2882, 5110, 31467, 40096, 2882, 40096, 194, 2702, 26, 13982, 20616, 2882, 9934, 98071, 4667, 230764, 7508, 5, 115222, 18415, 4, 48775, 2050, 1285, 49597, 115222, 18415, 3056, 564, 71804, 2050, 905, 32, 418, 4, 4484, 33809, 63532, 4151, 32887, 59461, 10339, 75230, 195054, 92500, 67882, 47332, 4838, 54745, 1211, 6235, 170355, 23405, 5, 4113, 37826, 6235, 119718, 183216, 4, 6093, 37826, 23050, 119718, 183216, 13982, 710, 6, 101328, 46244, 4838, 68550, 4, 2451, 136108, 20616, 2882, 8248, 4667, 1285, 49597, 115222, 18415, 4838, 68550, 5, 119718, 23173, 36326, 194, 186565, 14081, 17190, 506, 212915, 6, 148346, 710, 119718, 23173, 710, 84577, 5, 4113, 17645, 4, 2648, 98071, 30109, 13159, 4113, 5, 905, 12483, 1285, 49597, 30109, 4113, 18415, 162726, 84577, 4, 4484, 33809, 16803, 4838, 1751, 114436, 10339, 75230, 8903, 17410, 33809, 1211, 193042, 47332, 4838, 97995, 75230, 2050, 6235, 170355, 23405, 5, 23847, 75230, 2050, 6235, 170355, 23405, 4, 50856, 75230, 2050, 23050, 4852, 48904, 5666, 4, 13982, 710, 6, 101328, 46244, 6, 23173, 33809, 2050, 4, 13982, 20616, 2882, 9934, 98071, 4667, 1285, 30109, 4113, 18415, 6, 23173, 33809, 2050, 5, 119718, 23173, 36326, 194, 86468, 78683, 48775, 506, 142429, 5, 4484, 98071, 83182, 23050, 506, 96986, 7746, 6, 68558, 24012, 1285, 49597, 364, 76632, 2205, 4838, 7508, 142429, 2205, 18225, 29434, 20616, 2882, 4852, 18167, 112216, 24621, 44779, 2205, 18225, 9934, 98071, 23405, 2882, 12, 78683, 48775, 506, 142429, 4, 6, 78683, 48775, 506, 142429, 4, 73381, 12483, 230764, 21776, 2050, 874, 75230, 6093, 38, 2451, 1054, 6093, 32899, 76216, 33716, 4, 1054, 6093, 77014, 76216, 33716, 32, 2451, 7508, 6093, 21374, 49268, 874, 98071, 2882, 1285, 49597, 6319, 98071, 83182, 5, 2451, 199145, 6, 61397, 12483, 22753, 132025, 8903, 2882, 33809, 1211, 32, 2451, 4269, 39083, 2648, 874, 98071, 2882, 9934, 98071, 1644, 75578, 2808, 75230, 2702, 155, 1211, 1470, 75230, 905, 12483, 9934, 98071, 26394, 1211, 22753, 4, 2808, 33809, 13497, 6093, 26, 1211, 1470 ]

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

[ 75230, 905, 12483, 45495, 98071, 26394, 1211, 6, 109995, 148346, 2442, 98071, 25207, 44779, 3373, 12415, 148346, 12483, 22753, 4, 30946, 32572, 6, 148346, 1644, 54260, 12483, 22753, 5, 132, 506, 98071, 93509, 13845, 6, 148346, 44779, 4, 4151, 29060, 3131, 98071, 1211, 4, 17824, 142429, 5666, 5, 33960, 148346, 5, 16, 84308, 90848, 2648, 1470, 33809, 1211, 4838, 6, 48775, 23269, 5, 51723, 23050, 506, 63532, 6, 75230, 4667, 6, 68558, 3523, 155, 6428, 12, 11211, 16747, 6, 23173, 142429, 2205, 874, 26, 13982, 20616, 2882, 9934, 98071, 4667, 112216, 29771, 4113, 32792, 92500, 18225, 9934, 98071, 23405, 2882, 12, 15529, 29025, 57619, 6, 48775, 57619, 71, 618, 420, 71, 5, 5, 841, 5, 5, 5666, 54260, 77014, 6, 57619, 102323, 6, 57619, 5, 45629, 9424, 292, 6428, 8300, 292, 22444, 5, 35189, 6, 5, 3523, 5, 6, 5, 1470, 1285, 4667, 75903, 26, 6, 5, 2882, 18250, 6, 5, 33718, 6235, 6, 5, 6428, 8300, 5, 2932, 2808, 71804, 7508, 29766, 2200, 4838, 6, 48775, 23269, 4, 3131, 12483, 4269, 3111, 48904, 5666, 5, 49268, 506, 4, 115222, 46244, 9934, 98071, 4667, 1470, 33809, 2050, 2702, 98071, 146887, 3947, 27, 609, 1470, 98071, 1211, 7508, 6093, 30109, 33809, 2050, 5, 13982, 20616, 2882, 7746, 95455, 30842, 1644, 15, 71430, 16, 1470, 75230, 2702, 874, 98071, 2882, 26, 1211, 88721, 3069, 31467, 2050, 29434, 75230, 4944, 12483, 3069, 31467, 149311, 7508, 142429, 4, 132025, 8903, 99403, 141943, 98071, 2932, 9934, 98071, 4667, 3069, 31467, 2442, 98071, 4484, 6, 148346, 710, 1285, 49597, 49920, 2205, 9934, 98071, 6235, 506, 2882, 874, 98071, 2882, 76961, 163139, 5, 46685, 18133, 235210, 12483, 2205, 874, 26, 201237, 2882, 163139, 35189, 95455, 1470, 54260, 2932, 65482, 230764, 4838, 163139, 30750, 4, 2205, 4231, 65482, 13982, 20616, 2882, 9934, 98071, 4667, 163139, 49597, 35189, 1470, 75230, 2702, 5, 36324, 75230, 117473, 6, 148346, 22151, 76961, 6319, 51723, 1470, 75230, 2702, 874, 98071, 2882, 1285, 49597, 41764, 7511, 2865, 26, 6093, 13342, 2050, 29434, 75230, 2702, 12483, 1285, 42572, 33809, 1211, 7508, 142429, 5, 15, 21106, 18415, 171433, 16803, 183718, 98071, 1211, 4, 6, 90848, 54574, 98071, 1211, 194, 2808, 33809, 54561, 4231, 33809, 20315, 62078, 114955, 159696, 21295, 46646, 2702, 29771, 119718, 23173, 710, 84577, 5, 2442, 33809, 2442, 65482, 6, 48775, 23269, 4, 3131, 65482, 112216, 5666, 23269, 5, 4484, 33809, 15907, 7508, 6093, 1751, 114436, 10339, 75230, 151227, 4, 111684, 33716, 6, 23173, 75230, 6293, 230764, 1285, 49597, 6, 78683, 25207, 18415, 4, 2648, 98071, 6, 78683, 25207, 18415, 170479, 6, 148346, 1644, 48904, 165354, 74, 4484, 54260, 2882, 4151, 1751, 114436, 10339, 75230, 8903, 17410, 33809, 1211, 27702, 47332, 4838, 1751, 12483, 6235, 170355, 23405, 5, 4944, 26612, 23050, 170355, 23405, 4, 3496, 26612, 23050, 170355, 23405, 4, 13982, 710, 10339, 21106, 6, 23173, 33809, 2050, 4, 48253, 98071, 22426, 153222, 6, 54260, 20315, 1644, 4, 39340, 46244, 9934, 98071, 4667, 1470, 33809, 2050, 5, 132, 710, 23173, 59461, 4, 73095, 10069, 5, 33960, 148346, 5, 26, 178046, 16, 119718, 23173, 710, 84577, 5, 2442, 33809, 2442, 65482, 6, 48775, 23269, 4, 3131, 65482 ]

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

[ 10339, 48904, 4113, 5, 30473, 1982, 12483, 6, 101328, 4838, 68550, 4, 154739, 2648, 65482, 2376, 506, 4, 115222, 46244, 9934, 98071, 4667, 1470, 33809, 2050, 5, 4113, 148346, 23173, 113889, 75230, 4, 6, 54260, 148346, 1644, 5, 33960, 148346, 5, 16, 178046, 16, 119718, 23173, 710, 84577, 5, 2442, 33809, 2648, 65482, 6, 48775, 101470, 364, 186955, 7746, 12023, 1285, 11211, 16747, 6, 9221, 142429, 2205, 874, 26, 13982, 20616, 2882, 9934, 98071, 4667, 1470, 33809, 1211, 18225, 9934, 98071, 23405, 2702, 5, 2442, 9221, 65482, 7508, 48904, 8903, 4, 3131, 65482, 112216, 5666, 23269, 5, 2932, 39083, 2648, 65482, 874, 33809, 16932, 4, 39293, 7611, 1285, 49597, 4667, 4838, 7511, 35189, 5, 149311, 7746, 76961, 7265, 6, 75322, 39083, 4838, 55242, 7611, 6, 48904, 98071, 35189, 230764, 7508, 26, 25207, 38054, 2200, 364, 186955, 141943, 98071, 2932, 9934, 98071, 4667, 6, 75230, 101608, 6, 148346, 710, 1285, 49597, 364, 141943, 4, 364, 75230, 148346, 12483, 9934, 8248, 4667, 98252, 230764, 1470, 33809, 1211, 29434, 20616, 12483, 7746, 75230, 16932, 1470, 33809, 1211, 9934, 98071, 183216, 4, 2200, 36324, 75230, 110573, 92904, 5, 132, 119718, 23173, 36326, 194, 2648, 84308, 119718, 23173, 710, 84577, 5, 2442, 33809, 2442, 65482, 6, 48775, 23269, 4, 3131, 65482, 6, 149364, 98071, 1644, 112216, 23269, 4, 13982, 710, 3373, 39083, 4838, 34322, 4, 2451, 2648, 98071, 6, 63831, 10339, 21106, 2050, 70845, 5, 132, 1644, 33809, 148346, 1644, 98071, 1211, 194, 87053, 2808, 98071, 1211, 6, 78683, 7611, 1470, 33809, 1211, 874, 75230, 4852, 5, 16580, 83182, 23050, 87637, 12483, 7746, 6, 68558, 3523, 54260, 1285, 49597, 11211, 16747, 4, 119055, 12, 4838, 7508, 142429, 5, 6, 148346, 75230, 114955, 6, 148346, 7972, 26394, 1211, 1470, 75230, 101608, 26, 1211, 7508, 142429, 4, 7746, 21422, 6, 101328, 8903, 1211, 5, 22639, 4113, 1470, 98071, 4852, 4838, 6, 78683, 7611, 2205, 22639, 4113, 2451, 26612, 874, 75230, 4852, 5, 1285, 2865, 75230, 4852, 6, 212484, 2882, 21776, 1211, 4838, 79761, 17160, 75230, 36909, 12483, 6428, 33809, 2442, 4944, 26, 1211, 7508, 29766, 4, 6, 23173, 12483, 2205, 6, 23173, 75230, 2702, 4, 2205, 1285, 49597, 6, 78683, 7611, 2451, 2865, 98071, 16803, 5, 1285, 49597, 6, 78683, 7611, 65146, 7746, 6, 23173, 20260, 93975, 1211, 7265, 4838, 160238, 18415, 1644, 84475, 9934, 98071, 4667, 4838, 27909, 13458, 54260, 2702, 12483, 2865, 98071, 2702, 6235, 48775, 119425, 5, 119055, 12483, 1285, 49597, 6, 71804, 7611, 3496, 71577, 2882, 1285, 49597, 874, 75230, 4852, 4, 6, 212413, 12483, 7746, 1470, 75230, 2702, 42572, 33809, 1211, 7508, 142429, 221895, 9424, 119718, 710, 4, 7746, 1285, 6, 101328, 8903, 1211, 5, 6, 5, 15, 2442, 93497, 8300, 194, 108837, 21087, 33809, 14081, 17190, 506, 212915, 148346, 710, 1470, 33809, 54561, 6, 54260, 20315, 1211, 10069, 114955, 506, 13845, 2702, 26612, 77756, 33809, 5927, 2451, 26612, 110573, 10125, 6, 148346, 165592, 98071, 183216, 5, 2648, 98071, 110573, 10125, 9934, 21660, 2702, 9934, 98071, 4667, 36324, 37016, 4, 132025, 23269, 2882, 33809, 1211, 1470, 75230, 36909, 26, 1211, 6319, 137377, 4838, 49027, 710, 68558, 661, 16, 15, 2702, 26, 62763, 2648, 98071 ]

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

[ 13497, 4151, 8300, 33809, 4838, 364, 183718, 33809, 4667, 16, 1470, 33809, 1211, 9934, 98071, 364, 186955, 9934, 98071, 4667, 21422, 1285, 49597, 1470, 75230, 8903, 1211, 1470, 33809, 1211, 1054, 54260, 16667, 1470, 33809, 1211, 21106, 4113, 6, 148346, 165592, 98071, 183216, 9934, 98071, 4852, 10813, 506, 3131, 98071, 6, 5, 601, 2822, 42, 5, 4902, 516, 35189, 7213, 6, 5, 7508, 39248, 710, 657, 5, 45521, 1470, 42542, 7213, 124724, 1054, 29060, 6, 46533, 54260, 54260, 292, 5, 7508, 5, 7508, 5, 12, 7508, 5, 5, 7508, 9221, 5, 148346, 10125, 26, 3131, 98071, 4, 6, 148346, 10125, 26, 2702, 98071, 4, 163139, 1211, 4852, 36326, 4, 35189, 77756, 1211, 6, 26, 29060, 1285, 49597, 2442, 1751, 98071, 165354, 4838, 17190, 61541, 4113, 564, 54260, 1211, 4, 159696, 126934, 7508, 98071, 4667, 27702, 114349, 23173, 165354, 148346, 98071, 4852, 3069, 31467, 7508, 98071, 21422, 42023, 5, 2648, 98071, 16175, 75230, 148346, 12483, 4, 1285, 16175, 75230, 148346, 12483, 105235, 506, 12483, 230764, 1285, 49597, 657, 142429, 12483, 74, 2702, 26, 2808, 98071, 4852, 1751, 75230, 1211, 21422, 2882, 3069, 31467, 6235, 148346, 12483, 26612, 67826, 49597, 4484, 109316, 46654, 29766, 12483, 5, 2648, 98071, 16175, 75230, 148346, 12483, 4, 1285, 49597, 16175, 75230, 148346, 12483, 105235, 42023, 4838, 6293, 1285, 49597, 6, 148346, 29060, 12483, 1211, 2702, 26, 2808, 98071, 4852, 1751, 75230, 1211, 42493, 2648, 98071, 6, 148346, 10125, 3069, 31467, 6, 148346, 93704, 37016, 12483, 5, 2648, 98071, 16175, 75230, 148346, 12483, 4, 1285, 49597, 16175, 75230, 148346, 12483, 105235, 506, 12483, 230764, 1285, 49597, 16175, 98071, 3131, 12483, 13159, 26, 2808, 98071, 4852, 1751, 75230, 1211, 21422, 2882, 2648, 98071, 6, 148346, 10125, 170479, 9934, 98071, 4667, 564, 71577, 98071, 3131, 12483, 5, 132, 36419, 148346, 25207, 149311, 4, 3496, 244640, 13845, 2050, 5, 30109, 54260, 4852, 194, 77518, 41764, 75230, 1644, 98071, 3131, 55766, 39674, 2808, 112916, 119718, 23173, 710, 84577, 5, 148346, 10125, 26, 3131, 98071, 4, 6, 148346, 10125, 26, 40714, 4, 34654, 1211, 3523, 98071, 29659, 4, 35189, 77756, 1211, 119055, 29060, 1285, 49597, 2442, 3373, 5, 165354, 1470, 223779, 2442, 1644, 9721, 8580, 4, 905, 119273, 33809, 1285, 49597, 4667, 6, 148346, 23173, 29771, 26394, 1211, 148346, 98071, 4852, 3069, 31467, 1285, 21422, 42023, 5, 35189, 77756, 1211, 1054, 29060, 7508, 98071, 2442, 1751, 98071, 165354, 506, 141847, 13845, 5, 7972, 1982, 16932, 7265, 7508, 6093, 12483, 4, 710, 119273, 33809, 151614, 148346, 12483, 114955, 4, 4852, 109316, 1211, 220224, 6, 109995, 36324, 75230, 163139, 49597, 1285, 49597, 6, 148346, 6093, 12483, 5, 12483, 2808, 98071, 1211, 4838, 43649, 33809, 148346, 3373, 98071, 2882, 4838, 6, 119859, 29171, 4, 905, 119273, 33809, 151614, 148346, 12483, 4838, 4231, 33809, 5666, 23269, 28726, 4, 905, 29060, 7369, 364, 21292, 12483, 32054, 48904, 98071, 4484, 5, 132, 2932, 29766, 126968, 119718, 4, 3944, 100863, 5, 4269, 54260, 5, 16, 16028, 17727, 119718, 23173, 710, 84577, 5, 148346, 10125, 26, 21087, 4, 6, 148346, 10125, 26, 3131, 98071, 4, 34654, 1211, 3523, 98071, 16803, 4, 1982, 26, 13845, 1285, 49597, 2442, 6235, 1211, 15, 23269, 1982 ]

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

[ 12483, 16, 4838, 223779, 2442, 1644, 9721, 8580, 4, 26, 119273, 33809, 1285, 49597, 4667, 27702, 90848, 26394, 1211, 148346, 98071, 4852, 21422, 1285, 49597, 21422, 42023, 5, 1982, 26, 13845, 1285, 49597, 2442, 6235, 1211, 92605, 98071, 3131, 12483, 4, 26, 119273, 33809, 1285, 49597, 4667, 148346, 71577, 98071, 2702, 12483, 5, 132, 2442, 16028, 17727, 119718, 23173, 710, 183718, 5, 148346, 10125, 26, 3131, 98071, 4, 6, 148346, 10125, 26, 3131, 98071, 4, 12415, 1211, 4, 34654, 1211, 4, 34654, 1211, 4, 26, 119273, 1285, 49597, 4667, 6, 148346, 23173, 29771, 26394, 1211, 148346, 98071, 1211, 3069, 31467, 1285, 49597, 9424, 54260, 42023, 5, 26, 4113, 15907, 1285, 49597, 4667, 6, 148346, 23173, 29771, 26394, 1211, 2702, 98071, 2050, 17824, 75230, 2702, 6, 148346, 15703, 4, 26, 29060, 3373, 12483, 7508, 9221, 1751, 98071, 165354, 26612, 1751, 65482, 183582, 5, 132, 137218, 164863, 29766, 4, 657, 45619, 5, 3523, 33809, 5, 16, 2648, 112916, 119718, 23173, 710, 183718, 5, 148346, 10125, 26, 21087, 4, 6, 63831, 26, 2702, 98071, 75230, 1211, 4, 148346, 23173, 29771, 7611, 1285, 4667, 148346, 98071, 4852, 3069, 31467, 7508, 98071, 21422, 42023, 5, 35189, 77756, 1211, 6, 26, 29060, 7508, 98071, 2442, 7213, 165354, 26612, 3944, 44779, 874, 98071, 2882, 27855, 98071, 26394, 1211, 4, 26, 119273, 33809, 1285, 4667, 6, 148346, 23173, 29771, 26394, 1211, 148346, 98071, 4852, 21422, 1285, 49597, 9424, 98071, 26394, 1211, 5, 5666, 90848, 54260, 113889, 905, 4, 7508, 142429, 5, 3523, 33809, 148346, 5, 16, 506, 112916, 119718, 23173, 710, 84577, 5, 148346, 10125, 26, 21087, 4, 110573, 1644, 26, 2882, 4, 12415, 1211, 4, 48636, 101080, 14081, 17190, 506, 212915, 148346, 710, 1470, 54260, 1211, 68558, 7508, 98071, 111996, 1211, 3069, 31467, 7508, 98071, 21422, 42023, 5, 33104, 64665, 1470, 12483, 2451, 2050, 26, 506, 13845, 23741, 3523, 98071, 29659, 6, 112452, 6235, 506, 8580, 4, 2865, 26, 2442, 33809, 15907, 1285, 49597, 4667, 73784, 18906, 22426, 2882, 4, 2702, 33809, 4852, 2882, 33809, 4269, 8580, 5, 132, 1644, 33809, 148346, 1644, 98071, 1211, 194, 98864, 2808, 98071, 1211, 45521, 153222, 44779, 5, 13159, 145813, 98071, 1644, 12483, 9934, 98071, 4667, 9424, 238144, 6319, 98071, 83182, 5, 18225, 10339, 40096, 16803, 9934, 98071, 4667, 2205, 1285, 49597, 185182, 2442, 5, 1470, 54260, 59461, 22426, 40096, 29659, 874, 98071, 2882, 4151, 21776, 1982, 16932, 364, 183512, 1470, 98071, 1211, 6428, 13159, 221895, 16667, 21776, 4944, 244640, 16932, 4, 4151, 9424, 238144, 16932, 22426, 40096, 29659, 3069, 31467, 2442, 98071, 4484, 874, 98071, 2882, 4151, 657, 98071, 20260, 6093, 1470, 98071, 1211, 10676, 221895, 16667, 657, 98071, 20260, 6093, 5, 4151, 113889, 4667, 18583, 5, 39340, 506, 33716, 5, 148932, 9424, 20616, 21295, 12, 2451, 9213, 6093, 28726, 74, 2451, 9424, 119718, 63188, 28726, 74, 2451, 29434, 63188, 1644, 12483, 2451, 10184, 49597, 6093, 28726, 74, 2451, 10184, 49597, 5666, 159696, 28726, 74, 2451, 55242, 13805, 109316, 74, 2451, 9934, 98071, 148346, 109316, 74, 2451, 4838, 4944, 244640, 2882, 109316, 74, 2451, 3523, 71512, 28726, 74, 2451, 9424, 20616, 23269, 28726, 12, 2451, 895, 905, 109316, 74, 2451, 3069, 13845 ]

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

[ 905, 109316, 74, 2451, 6, 136108, 31623, 109316, 1211, 2451, 42572, 6093, 26394, 28726, 15, 29771, 35189, 12, 42572, 6093, 26394, 28726, 1285, 49597, 2442, 1470, 98071, 1211, 107189, 6, 23173, 28320, 16, 35596, 36909, 77188, 1470, 30682, 4151, 4231, 16870, 16932, 12, 2451, 123736, 506, 4, 6, 148346, 98071, 4852, 2882, 4838, 42572, 6093, 89930, 5, 132, 36419, 148346, 2442, 110970, 98071, 1211, 4, 3496, 13845, 46685, 30109, 54260, 4852, 194, 89149, 2808, 98071, 1211, 6, 148346, 1644, 98071, 152848, 45521, 48253, 77518, 5, 51723, 9424, 20616, 21295, 9934, 98071, 4667, 1470, 75230, 2702, 5, 55242, 56169, 9934, 98071, 4667, 1470, 54260, 59461, 4838, 159696, 4484, 1470, 33809, 1211, 4151, 1054, 120467, 1470, 98071, 74004, 75230, 4944, 8903, 36909, 21106, 12483, 42572, 33809, 1211, 6, 26394, 54574, 12483, 4, 6, 147713, 2702, 9934, 98071, 4667, 1470, 54260, 5666, 8903, 148346, 75230, 8903, 1211, 874, 98071, 2882, 26, 1211, 41764, 12130, 6, 23173, 137377, 230764, 35189, 1751, 75230, 2702, 42572, 33809, 1211, 10676, 9934, 98071, 26394, 16747, 98071, 8903, 1211, 1470, 33809, 1211, 17190, 98833, 9934, 98071, 4667, 6, 23173, 75230, 6293, 230764, 4151, 162726, 2442, 26394, 1285, 49597, 25207, 4944, 244640, 18415, 364, 183512, 1470, 75230, 36909, 8903, 101296, 4944, 16932, 12, 15435, 874, 98071, 2882, 4151, 1470, 98071, 23269, 159696, 110317, 82576, 42572, 71804, 4944, 244640, 16580, 2882, 41764, 33809, 1211, 2808, 75230, 148346, 12483, 6, 23173, 75230, 2702, 4, 2200, 4151, 199145, 9934, 98071, 56169, 16175, 33809, 2882, 4838, 6, 225975, 12, 2451, 6, 148346, 2808, 110573, 10125, 292, 4269, 98071, 148346, 4838, 112216, 48253, 5, 2932, 15907, 1470, 54260, 59461, 4838, 112216, 48253, 4, 1470, 33809, 1211, 1470, 75230, 148346, 4151, 657, 98071, 8903, 16747, 98071, 61397, 6, 186145, 23741, 15, 2865, 98071, 2882, 26, 1211, 200795, 1211, 132025, 119718, 15533, 247, 119055, 6093, 95455, 37826, 6235, 2882, 33809, 1211, 4, 657, 176727, 9934, 98071, 4667, 4231, 114436, 132025, 29659, 64260, 1470, 98071, 56417, 5, 1470, 75230, 148346, 7511, 49597, 16803, 2451, 147713, 2882, 7746, 4151, 55242, 1644, 148346, 6093, 125523, 6, 75322, 39083, 4, 1470, 33809, 1211, 8947, 68891, 2882, 9934, 98071, 4667, 163139, 16932, 1470, 98071, 148346, 6093, 95455, 1470, 54260, 2932, 65482, 5, 132, 2882, 16932, 78683, 21087, 4, 6319, 98071, 29789, 905, 5, 33960, 148346, 194, 77518, 84475, 3947, 27, 609, 55823, 153222, 44779, 5, 1285, 49597, 145813, 98071, 1644, 3056, 23050, 46244, 18583, 3131, 80453, 54260, 2882, 5, 8947, 3131, 22426, 15350, 12483, 1470, 75230, 4667, 4151, 905, 59929, 2702, 65482, 5, 3373, 26, 62763, 1470, 98071, 4852, 7508, 12, 46440, 6, 148346, 21106, 98071, 148346, 2882, 6, 148346, 54260, 1285, 49597, 6, 23173, 119273, 84577, 12483, 2808, 98071, 1211, 1285, 49597, 6, 124470, 36909, 21292, 850, 5, 87905, 2808, 98071, 1211, 6, 78683, 119718, 48904, 13159, 194, 51723, 67882, 4944, 244640, 2882, 42572, 8580, 6, 235210, 2648, 6319, 33809, 22426, 39340, 44779, 6, 78683, 119718, 48904, 13159, 16, 1470, 33809, 1211, 18225, 9424, 20616, 21295, 9934, 98071, 4667, 1470, 75230, 2702, 5, 113889, 4944, 244640, 710, 1470, 75230, 2702, 26394, 54574, 12483, 1470, 98071, 4852, 1470, 54260, 59461, 4151, 6, 148346, 13845 ]

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

[ 506, 148346, 2754, 1470, 33809, 1211, 7369, 21776, 98833, 9934, 98071, 4667, 6319, 71804, 55823, 1211, 74, 8903, 506, 61621, 1285, 49597, 9213, 148346, 2442, 98071, 8903, 3069, 31467, 3131, 23173, 12483, 874, 98071, 2882, 1285, 49597, 42572, 21292, 1285, 49597, 21374, 109636, 4113, 44779, 1470, 33809, 1211, 4838, 177282, 75230, 55823, 1211, 4, 1982, 71577, 2882, 9934, 98071, 4667, 4151, 6, 148346, 13845, 506, 148346, 2754, 230764, 2200, 23050, 506, 36258, 220224, 6, 113889, 4944, 244640, 101328, 8903, 1211, 5, 119055, 171428, 7369, 3496, 244640, 71577, 2882, 4, 35189, 1470, 98071, 4852, 6, 148346, 13845, 506, 148346, 2754, 5, 18225, 67882, 4944, 244640, 2882, 1470, 75230, 36909, 2702, 5666, 54260, 6319, 33809, 42410, 4113, 44779, 1470, 33809, 1211, 1285, 49597, 145813, 98071, 1644, 6235, 506, 2882, 238144, 75578, 5, 132, 2702, 86733, 78683, 2702, 98071, 4, 6319, 98071, 4113, 119718, 5, 33960, 148346, 194, 568, 71, 5, 818, 6, 144532, 76632, 49597, 2702, 12, 12825, 16, 26612, 42572, 54260, 8903, 28726, 46654, 98071, 506, 2882, 5, 2865, 26, 26394, 506, 21295, 1470, 54260, 119132, 1470, 75230, 2702, 5, 55242, 56169, 7369, 9934, 98071, 4667, 4838, 905, 37016, 4, 1470, 33809, 1211, 76961, 15, 2442, 6093, 1470, 75230, 2702, 8903, 26394, 54574, 16932, 6, 21106, 54260, 1211, 1470, 75230, 4667, 16, 364, 21106, 2702, 12483, 230764, 220224, 1211, 6319, 2932, 98071, 21776, 2050, 21374, 18415, 1644, 36909, 98071, 23405, 6093, 1470, 33809, 1211, 6093, 16175, 33809, 2882, 4838, 364, 75230, 148346, 1285, 49597, 364, 48904, 2442, 2205, 7508, 6093, 364, 75230, 4667, 1470, 33809, 1211, 4838, 6, 225975, 12, 2451, 137, 26612, 10184, 8903, 28726, 46654, 98071, 506, 2882, 711, 94741, 63020, 4, 148932, 1470, 75230, 36909, 506, 75230, 148346, 12483, 1285, 49597, 364, 183512, 4, 4151, 148346, 54260, 364, 21106, 96986, 10676, 42572, 98071, 23405, 6093, 3496, 92904, 2808, 75230, 2702, 8903, 2702, 2702, 25207, 13805, 5, 6, 113889, 4944, 244640, 2648, 13159, 6, 212484, 2702, 148932, 3069, 31467, 2442, 98071, 4484, 6, 23173, 137377, 1285, 49597, 364, 183512, 230764, 21776, 93509, 75230, 2702, 1470, 33809, 1211, 7369, 21776, 4944, 35596, 163139, 16932, 1470, 75230, 2702, 42572, 6093, 3131, 98071, 2442, 65482, 15750, 36909, 850, 2205, 6, 170355, 4944, 244640, 12483, 4, 199145, 148346, 26612, 159696, 8903, 1211, 9934, 98071, 4667, 1470, 98071, 1211, 4151, 657, 33809, 159212, 1470, 33809, 1211, 6, 148346, 54260, 177274, 1211, 874, 39083, 364, 75230, 148346, 2882, 8009, 1470, 54260, 6293, 1285, 49597, 506, 183512, 1470, 33809, 1211, 76961, 7265, 1470, 98071, 56417, 5, 6, 97634, 16932, 364, 75230, 148346, 2882, 1470, 54260, 59461, 3523, 98071, 16803, 230764, 1285, 49597, 364, 183512, 77518, 4, 94741, 63020, 7369, 6, 48904, 98071, 2442, 6093, 147713, 12483, 21776, 2050, 6319, 137377, 874, 98071, 2882, 26, 1211, 3373, 99611, 6, 23173, 137377, 230764, 4151, 1751, 75230, 2702, 4, 7508, 98071, 2808, 75230, 8903, 1211, 56170, 105235, 21295, 1470, 33809, 1211, 148932, 17190, 98833, 6, 23173, 75230, 6293, 4838, 42572, 98071, 23405, 6093, 230764, 22753, 23269, 162726, 31623, 13159, 1470, 33809, 1211, 4151, 6, 148346, 13845, 13982, 49268, 292, 36324, 75230, 364, 54260, 16803, 4151, 1470, 75230, 23405, 21660, 20616, 1644 ]

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

[ 16932, 292, 364, 75230, 148346, 97634, 1211, 874, 98071, 2882, 220224, 1211, 42572, 23174, 6093, 230764, 22753, 3069, 31467, 6, 26394, 54574, 12483, 4261, 710, 16, 124470, 3111, 31467, 25093, 31467, 49209, 5, 5, 568, 31, 5, 18304, 31, 3584, 5, 7508, 32, 16175, 5, 5, 29659, 8632, 2702, 19024, 16747, 3496, 26612, 159696, 1644, 230764, 1470, 9721, 6, 33809, 5, 506, 5, 506, 210726, 7213, 75386, 5, 506, 18250, 230764, 6, 225975, 2882, 6, 5, 6, 57619, 33718, 6, 5, 47567, 2702, 95766, 1054, 64213, 6, 5, 5332, 1054, 6, 5, 905, 21106, 2702, 87311, 54574, 29434, 29259, 4269, 8632, 2702, 163139, 55546, 1644, 44917, 54745, 1644, 6, 5, 113524, 7508, 34709, 44917, 9721, 104274, 6428, 5, 37729, 77518, 84475, 4151, 1470, 75230, 2702, 2932, 65482, 54574, 16932, 710, 2190, 123103, 23269, 4838, 6, 170355, 4667, 4, 199145, 6319, 68558, 7243, 21066, 98071, 506, 12483, 2451, 24621, 46244, 16803, 35596, 54260, 1644, 119055, 77188, 6235, 148346, 2442, 75230, 40920, 215031, 119055, 99766, 4, 199145, 4151, 1470, 75230, 92904, 33809, 4484, 37826, 48904, 26, 20616, 100863, 98071, 4944, 4484, 54260, 2882, 21422, 4838, 6, 170355, 4667, 199145, 6, 148346, 26612, 159696, 98833, 9934, 98071, 4667, 1470, 98071, 1211, 4151, 657, 33809, 23741, 5, 117902, 22426, 710, 44478, 1470, 98071, 4852, 77985, 12, 2451, 4838, 6, 97634, 7201, 42572, 1644, 98071, 506, 2882, 15, 75322, 39083, 12, 4838, 16175, 137377, 874, 98071, 2882, 9934, 75230, 123073, 874, 98071, 66317, 46654, 98071, 506, 97634, 35189, 12, 4838, 16175, 137377, 874, 98071, 2882, 8947, 98071, 2932, 12399, 2808, 33809, 1211, 7369, 364, 75230, 148346, 2882, 4, 6, 225975, 186797, 95455, 4, 230764, 1285, 49597, 364, 26612, 93238, 4, 1470, 33809, 1211, 1054, 12483, 22639, 6093, 16175, 33809, 2882, 1470, 98071, 56417, 113889, 4667, 4, 6, 94741, 63020, 4231, 114436, 9934, 98071, 4667, 6, 48904, 98071, 35189, 147713, 12483, 74, 25442, 16, 1470, 98071, 1211, 16175, 86733, 78683, 21087, 21374, 4113, 119718, 5, 33960, 148346, 5, 16, 42572, 25207, 98833, 18225, 1470, 30682, 12, 2451, 137, 90848, 2050, 1054, 98071, 1644, 126934, 24846, 12415, 159212, 7369, 6, 68558, 5332, 22426, 13159, 4838, 6, 170355, 4667, 4, 77985, 12, 137, 148346, 98071, 1644, 39340, 2909, 19302, 71577, 2882, 18225, 1470, 98071, 56417, 7265, 35189, 10339, 75230, 16803, 1470, 98071, 1211, 4151, 162726, 710, 26394, 12, 2451, 5, 28726, 78683, 4667, 155, 84475, 137, 195164, 6093, 2909, 16888, 2648, 2882, 18225, 1470, 98071, 56417, 2865, 98071, 2882, 4151, 11211, 16747, 230764, 1285, 49597, 162726, 54260, 26394, 4, 36324, 75230, 163139, 7265, 4838, 14856, 101608, 12, 2451, 37271, 2932, 137377, 13845, 2909, 6, 105235, 4944, 244640, 2882, 51723, 1470, 30682, 874, 98071, 2702, 1285, 42572, 23174, 6093, 5, 15, 35189, 144754, 1470, 98071, 4852, 1285, 49597, 145813, 98071, 1644, 6235, 141943, 98071, 98833, 194, 109589, 101080, 31467, 14081, 17190, 506, 212915, 148346, 54260, 194706, 15622, 25207, 1211, 10069, 114955, 159696, 21295, 2451, 137, 112711, 33809, 25093, 31467, 8580, 292, 230764, 119055, 13845, 104238, 364, 48904, 2442, 43649, 20616, 16803, 33809, 24846, 35596, 59919, 2882, 7369, 15, 1644, 14857, 1644, 2077, 37271, 2808, 75230, 6293, 6, 137218, 20260, 13845, 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 ]

[ 2050, 364, 183512, 5, 155, 186145, 23741, 7369, 4, 16175, 75230, 29659, 1470, 30682, 1470, 75230, 2702, 4231, 114436, 4, 119055, 63593, 172398, 11211, 16747, 7369, 37826, 6235, 226112, 36909, 12483, 5, 2808, 75230, 148346, 95455, 1470, 98071, 4852, 220273, 6235, 159696, 1211, 77985, 4, 364, 93497, 13845, 26, 2702, 364, 183512, 2205, 7369, 37826, 4, 364, 16803, 13159, 4, 3523, 98071, 16803, 6235, 49268, 120467, 12483, 4, 6, 225975, 2882, 4151, 6, 148346, 13845, 13982, 49268, 4, 6, 26394, 54574, 76632, 98071, 2932, 6428, 5, 10184, 49597, 23405, 6093, 12, 2451, 137, 4852, 39083, 16803, 33809, 6235, 225975, 2882, 230764, 49920, 86733, 2702, 364, 183512, 4, 4852, 39083, 16803, 33809, 6235, 159696, 1211, 2205, 21374, 49268, 2050, 6, 212394, 4, 165592, 75230, 6235, 506, 47332, 33809, 29434, 54260, 874, 39083, 6428, 33809, 81455, 4151, 6, 148346, 2442, 183512, 5, 155, 77518, 95766, 4151, 141879, 2442, 15, 119718, 120467, 230764, 220224, 1211, 42572, 98071, 23405, 6093, 42572, 186955, 1470, 75230, 2702, 95455, 141879, 119055, 99766, 2451, 6, 148346, 2442, 183512, 247, 6, 238144, 4852, 2882, 1470, 98071, 56417, 1470, 98071, 1211, 4151, 506, 75230, 4667, 364, 98071, 13497, 6093, 1285, 162726, 54260, 26394, 2702, 874, 98071, 2882, 21776, 17800, 48904, 2442, 4, 67882, 28726, 50856, 98071, 2932, 874, 98071, 2882, 9213, 178769, 1285, 49597, 42572, 18640, 33809, 2442, 10339, 33809, 1211, 162218, 4838, 34072, 5, 48904, 26, 2808, 75230, 111137, 101296, 4944, 244640, 18415, 11211, 16747, 364, 186955, 141943, 98071, 2932, 22753, 18583, 7746, 1470, 75230, 2702, 8903, 29659, 2442, 87442, 7265, 26, 1211, 2932, 90848, 1982, 12483, 10184, 49597, 23405, 6093, 6, 23173, 75230, 6293, 2200, 7265, 26, 1211, 6319, 84577, 6, 23173, 137377, 4, 6, 148346, 16870, 15907, 12, 4838, 364, 92605, 195164, 6093, 5, 13342, 8903, 101296, 4944, 18415, 364, 183512, 4, 4838, 42572, 75230, 16803, 12, 4838, 364, 75322, 6093, 5, 8300, 238144, 42572, 75230, 5, 96986, 12, 1470, 10339, 75230, 4484, 5, 26612, 10339, 75230, 16803, 874, 98071, 2882, 6, 48904, 26, 2808, 75230, 2702, 8903, 3131, 49268, 87442, 12483, 3373, 54260, 18415, 1644, 223390, 6093, 12, 4838, 3523, 142429, 13845, 5, 144754, 26, 1211, 19302, 54260, 119132, 42572, 23174, 6093, 1470, 75230, 2702, 8903, 29659, 2442, 87442, 12, 4838, 6, 222907, 39340, 5, 2865, 98071, 2702, 26, 1211, 4269, 90848, 148346, 12483, 42572, 23174, 6093, 9424, 119718, 98071, 3131, 12483, 10676, 16175, 54260, 18415, 1644, 2205, 7265, 13845, 80885, 1211, 6, 223390, 6093, 12, 4838, 10184, 2932, 5, 21106, 4113, 10184, 49597, 23405, 6093, 1470, 75230, 36909, 8903, 101296, 4944, 244640, 2882, 4, 4838, 90848, 172060, 54260, 4852, 186797, 12, 4838, 25933, 203232, 13845, 5, 21106, 4113, 42572, 23174, 6093, 3069, 235210, 141847, 109316, 98833, 2200, 1470, 54260, 5666, 8903, 148346, 75230, 8903, 1211, 4, 2205, 4151, 7508, 98071, 92867, 2702, 17310, 23173, 75230, 6293, 12, 292, 4838, 17190, 36909, 13845, 5, 35189, 895, 43178, 148346, 75230, 8903, 1211, 12, 2451, 26612, 42572, 21106, 43178, 148346, 75230, 8903, 1211, 5, 148346, 710, 177274, 1211, 874, 39083, 6, 238144, 39293, 16747, 98071, 2932, 874, 98071, 2882, 4151, 11211, 16747, 5332, 22426, 13159, 4838, 6, 148346, 7972, 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 ]

[ 42572, 25207, 98833, 1470, 98071, 56417, 35189, 6, 148346, 13845, 136108, 25391, 12, 199145, 1470, 98071, 4852, 95455, 32, 18225, 6, 238144, 4852, 2702, 1470, 98071, 56417, 4, 77985, 4, 874, 98071, 2882, 4151, 364, 183512, 6, 48904, 142429, 13845, 4, 1470, 33809, 1211, 4151, 6, 148346, 13845, 13982, 25391, 42572, 25207, 98833, 1470, 98071, 56417, 12, 2451, 137, 119718, 448, 1470, 98071, 4852, 48494, 203232, 24846, 186145, 159212, 7369, 4, 6, 148346, 54260, 2882, 1470, 98071, 56417, 1470, 75230, 2702, 4151, 4, 199145, 37826, 1470, 30682, 6235, 119718, 98071, 104149, 1285, 49597, 3523, 142429, 13845, 4, 6, 97634, 418, 46685, 3523, 98071, 16803, 4, 43649, 22426, 47332, 1470, 98071, 56417, 4231, 5, 59461, 29434, 54260, 874, 39083, 874, 98071, 2882, 4151, 3523, 142429, 13845, 2200, 9934, 29771, 13497, 35189, 148346, 54260, 12, 2451, 137, 113889, 20315, 1644, 4, 3523, 142429, 13845, 4, 3523, 142429, 13845, 2909, 95766, 36324, 75230, 42572, 25207, 2932, 2702, 18225, 1470, 98071, 56417, 29434, 54260, 874, 39083, 5, 132, 119718, 23173, 36326, 194, 77518, 119055, 23173, 710, 84577, 5, 2808, 33809, 15231, 238144, 2050, 116105, 5, 2808, 75230, 6293, 21776, 1644, 92867, 12483, 10184, 49597, 23405, 6093, 43649, 20616, 5, 2882, 33809, 32, 905, 39083, 73215, 6235, 225975, 2882, 230764, 3373, 24621, 2884, 26, 2050, 364, 48904, 2442, 4, 2442, 39083, 16803, 33809, 6, 61397, 12483, 1470, 98071, 1211, 64769, 8903, 71804, 50856, 4, 119718, 39083, 47332, 33809, 174246, 6, 148346, 29060, 8903, 119718, 183512, 4, 165592, 75230, 874, 33809, 4852, 2882, 33809, 7508, 98071, 2442, 1751, 203749, 12483, 6319, 137377, 6, 68558, 7508, 6093, 1054, 183512, 5, 24244, 29771, 1982, 40096, 36419, 119718, 4, 119055, 23173, 2882, 5, 4269, 148346, 5, 16, 26612, 10339, 54260, 8903, 28726, 42572, 116793, 2882, 5, 2808, 54260, 6093, 6, 225975, 2882, 6, 12130, 9424, 238144, 96986, 12, 137, 39293, 506, 133190, 4, 4838, 42572, 54260, 8903, 28726, 42572, 116793, 2882, 5, 2200, 7369, 905, 54260, 4852, 2702, 1470, 98071, 56417, 7369, 54260, 874, 98071, 2882, 4151, 364, 183512, 2205, 4151, 364, 75230, 4667, 4, 2205, 119055, 12483, 4231, 114436, 364, 54260, 148346, 96256, 75230, 6293, 10676, 6319, 137377, 3069, 31467, 16175, 33809, 1211, 4838, 6, 178674, 4, 4269, 98071, 2882, 7369, 1470, 98071, 56417, 4838, 21374, 26394, 1644, 2205, 364, 21106, 4852, 5, 159696, 46244, 18583, 186479, 54260, 2882, 194, 88151, 506, 54260, 13497, 1470, 98071, 4852, 1285, 6, 87311, 20315, 1285, 58571, 26394, 19302, 54260, 2648, 44779, 5, 2808, 54260, 1211, 874, 54260, 20315, 1644, 6235, 46244, 3069, 21422, 4838, 6, 238144, 18415, 1470, 33809, 1211, 7265, 6, 148346, 54260, 20315, 364, 141943, 6, 105515, 22753, 6, 148346, 23829, 5594, 2442, 4838, 364, 75230, 148346, 1470, 75230, 4667, 6, 30979, 3373, 54260, 88945, 1644, 3069, 31467, 12, 9934, 98071, 23405, 2882, 3069, 31467, 12, 506, 54260, 13497, 9213, 1285, 77014, 68697, 71, 28962, 19, 1900, 5, 1644, 8300, 4667, 21733, 15435, 6, 26394, 108209, 1285, 6, 29025, 101296, 1285, 9213, 364, 41595, 2451, 364, 41595, 1470, 98071, 26, 1285, 49597, 6, 205416, 4113, 1285, 49597, 6319, 29766, 26394, 19302, 54260, 2442, 44779, 5, 119718, 23173, 36326, 194, 93815, 78683 ]

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

[ 36326, 874, 98071, 2882, 874, 98071, 66317, 13159, 7972, 30750, 114955, 21422, 235210, 12483, 23050, 506, 51723, 7746, 6, 68558, 148932, 6, 218161, 6, 148346, 21292, 3523, 238144, 96986, 10069, 364, 75230, 2882, 42572, 33809, 1211, 4151, 1470, 75230, 148346, 6093, 3131, 16932, 6, 75230, 2882, 364, 183512, 18415, 44478, 874, 98071, 2882, 9424, 238144, 42572, 23174, 6093, 4, 230764, 165592, 26612, 185527, 4, 36324, 76961, 364, 141943, 6319, 54260, 12483, 1470, 75230, 2702, 2205, 364, 48904, 2442, 230764, 4151, 221895, 2442, 5, 220224, 506, 21106, 96986, 220224, 564, 54260, 76776, 50856, 2200, 364, 75230, 20315, 1211, 4151, 144754, 6, 23173, 75230, 6293, 2200, 6, 23173, 137377, 1470, 33809, 1211, 6, 225975, 12483, 4151, 148346, 710, 12, 48253, 448, 4, 6, 48253, 98071, 2702, 191795, 148346, 4113, 44779, 4, 48253, 448, 4, 16175, 54260, 22426, 191795, 148346, 4113, 44779, 4, 95766, 22753, 6, 212484, 12483, 120202, 4, 112216, 125830, 12483, 7746, 1470, 54260, 16667, 95455, 221895, 2200, 1285, 49597, 11211, 16747, 6, 23173, 54260, 1211, 2808, 33809, 1211, 6, 225975, 12483, 21422, 2205, 4151, 74806, 119718, 710, 16747, 12, 78683, 36326, 874, 98071, 2882, 7544, 66317, 4, 78683, 36326, 7265, 7544, 66317, 4, 78683, 36326, 7265, 7544, 66317, 5, 132, 119718, 23173, 36326, 194, 2808, 68518, 119718, 23173, 710, 84577, 5, 13342, 22426, 4, 3069, 22426, 4, 6, 26, 4113, 46685, 1644, 4, 4484, 33809, 2050, 3069, 31467, 874, 98071, 2442, 1470, 98071, 1211, 115222, 46685, 1644, 5, 905, 13845, 26, 4667, 7508, 9221, 162218, 6, 75230, 104149, 26612, 7213, 2702, 109316, 874, 98071, 2882, 3056, 12483, 5, 95766, 22753, 112216, 153222, 1211, 9934, 98071, 4667, 2200, 6, 225975, 12483, 12, 90848, 50853, 98071, 4, 7508, 39083, 12415, 4, 7508, 39083, 10069, 5, 132, 186955, 88660, 16667, 2882, 84577, 8580, 4, 119055, 29771, 54574, 98071, 1211, 38, 5, 2451, 93815, 119718, 23173, 710, 84577, 12, 48253, 33809, 22426, 4, 16175, 34079, 22426, 4, 4484, 33809, 25207, 6, 71804, 7201, 4, 4484, 33809, 63532, 1285, 49597, 10339, 48904, 4113, 2808, 33809, 1211, 17824, 54260, 2882, 73784, 16175, 98071, 3131, 4, 4484, 33809, 63532, 4151, 10339, 75230, 195054, 92500, 6, 119273, 230764, 3373, 26, 8903, 1982, 18415, 564, 46545, 6, 131445, 5, 132, 18415, 148346, 2442, 13159, 98071, 1211, 4, 3496, 244640, 13845, 2865, 5, 30109, 54260, 4852, 194, 5666, 68518, 119718, 23173, 710, 84577, 5, 13342, 22426, 4, 3069, 22426, 19302, 183911, 4944, 44779, 4, 23173, 1982, 16667, 25207, 4667, 7508, 23173, 33809, 13497, 6093, 4, 506, 148346, 2882, 18225, 230764, 3373, 26, 2808, 98071, 75578, 1982, 29060, 109316, 4, 1644, 75230, 23741, 3373, 26, 16580, 50856, 4838, 33104, 75578, 5, 905, 78683, 25207, 119718, 5, 657, 33809, 148346, 1644, 5, 30109, 54260, 4852, 194, 63652, 101080, 31467, 14081, 17190, 506, 212915, 148346, 54260, 22639, 1211, 6, 63188, 12483, 83904, 65577, 13845, 710, 16583, 4, 95247, 33809, 16932, 4231, 33809, 2648, 5, 2808, 54260, 1211, 6, 54260, 23405, 13845, 6235, 506, 2702, 3523, 33809, 21422, 9424, 75230, 2050, 6, 54260, 23405, 13845, 1470, 33809, 1211, 4269, 98071, 2882, 1470, 98071, 56417, 1285, 49597, 364, 183512, 2451, 56976, 13845, 710, 16583, 74, 364, 186955 ]

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

[ 141943, 98071, 2932, 9934, 98071, 4667, 36324, 75230, 6, 23173, 33809, 46685, 6, 148346, 710, 1285, 49597, 11211, 16747, 4, 1751, 218241, 1644, 12483, 220224, 3069, 31467, 2865, 98071, 2882, 220224, 2200, 18225, 9934, 98071, 23405, 2882, 12, 2451, 56976, 13845, 710, 16583, 4, 4838, 4269, 33809, 16932, 4231, 33809, 2442, 711, 26612, 364, 21106, 1982, 12483, 3947, 27, 609, 132025, 8903, 148346, 2442, 98071, 506, 2882, 4, 26612, 364, 21106, 148346, 12483, 3947, 27, 609, 6, 23173, 37016, 23269, 15908, 98071, 51723, 4, 26612, 364, 21106, 1982, 12483, 364, 27, 609, 3069, 31467, 2442, 98071, 4484, 8903, 4484, 33809, 2050, 12483, 5, 119718, 23173, 36326, 5, 16, 14546, 16, 159696, 2442, 163139, 49597, 1644, 1285, 49597, 6, 170355, 4667, 705, 2808, 54260, 59461, 364, 186955, 5332, 22426, 13159, 1470, 98071, 1211, 4151, 11211, 16747, 2200, 56170, 506, 26612, 1982, 101608, 506, 54260, 2648, 364, 75230, 148346, 2702, 7369, 4852, 98071, 230764, 1470, 98071, 1211, 4151, 506, 75230, 4667, 1470, 33809, 1211, 71180, 2702, 1470, 75230, 2702, 12, 2451, 1054, 6093, 364, 98071, 1644, 1285, 49597, 6, 170355, 4667, 705, 2808, 33809, 1211, 119055, 12483, 22639, 6093, 42493, 6, 18167, 7508, 33809, 6293, 6, 68558, 5, 2451, 6, 137218, 4667, 711, 35596, 36909, 93497, 7369, 12, 2451, 46050, 4667, 1470, 75230, 7201, 26, 1211, 6, 94741, 4667, 4, 1982, 35596, 3131, 6, 71804, 92867, 2882, 15, 1644, 98071, 47332, 247, 29771, 1982, 1285, 49597, 6, 148346, 29771, 148346, 4113, 33809, 18415, 6, 76776, 40920, 5, 58032, 23173, 2050, 26612, 5, 16, 2808, 5, 36076, 292, 119718, 23173, 710, 84577, 5, 2451, 7508, 6093, 1054, 98071, 1644, 1285, 49597, 6, 170355, 4667, 705, 2451, 6255, 5, 2451, 3373, 26, 4852, 39083, 1470, 98071, 1211, 7508, 98071, 2442, 6, 23173, 8580, 6, 23173, 33809, 609, 5, 132, 1644, 29766, 2648, 16, 148346, 5, 36076, 292, 119718, 23173, 710, 84577, 5, 159696, 2442, 163139, 1644, 95455, 5, 2451, 1054, 6093, 1054, 98071, 1644, 48494, 203232, 9934, 2451, 6, 63188, 5, 2451, 6235, 506, 3069, 31467, 7508, 6093, 115222, 45629, 33809, 1211, 56170, 13458, 12483, 54745, 4667, 15, 2648, 98071, 4667, 247, 88660, 4667, 657, 218241, 3131, 12483, 2808, 33809, 1211, 7508, 33809, 73095, 4667, 15, 9719, 4667, 194, 132, 59919, 15350, 1470, 33809, 2442, 56052, 4, 6, 192494, 92867, 29766, 4, 3944, 148346, 1644, 5, 3523, 33809, 148346, 5, 16, 101839, 159696, 2442, 163139, 49597, 1644, 1285, 49597, 6, 170355, 4667, 5, 2808, 127684, 6, 225975, 2882, 12, 137, 159696, 2442, 8947, 1054, 29060, 4151, 184639, 6, 23173, 75230, 1982, 225975, 12483, 6, 137218, 4667, 4, 4151, 25616, 176727, 1285, 49597, 6, 170355, 4667, 5, 2205, 7369, 7508, 75230, 148346, 2882, 230764, 4838, 18583, 101296, 1982, 18415, 364, 183512, 4, 6, 75322, 39083, 364, 186955, 6, 123073, 22426, 13159, 1470, 98071, 1211, 1470, 98071, 46244, 1470, 33809, 1211, 6, 75322, 39083, 3523, 98071, 29659, 4, 2205, 7369, 71180, 2882, 1470, 75230, 2702, 12, 2451, 137, 2442, 6093, 163139, 1644, 7508, 12, 6, 170355, 4667, 705, 25391, 710, 12483, 76961, 12, 2451, 6, 5, 137218, 4667, 92500, 6, 148346, 54260, 2050, 4838, 122868, 63593, 54260, 119132 ]

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

[ 3523, 13159, 12415, 4, 199145, 2181, 119055, 77188, 4, 6319, 54260, 2882, 1751, 75230, 1211, 6, 124470, 9719, 2648, 1470, 75230, 47351, 3373, 26, 2808, 98071, 4852, 6, 148346, 107182, 22639, 190386, 18167, 1470, 41595, 131762, 13456, 54260, 20315, 1211, 4, 7508, 6093, 3373, 26, 506, 120467, 6235, 25391, 98071, 8903, 1211, 4151, 6, 93497, 104238, 5, 1470, 33809, 1211, 95455, 46440, 163139, 49597, 35189, 506, 39083, 2882, 9934, 98071, 4667, 6, 109995, 132025, 506, 75230, 148346, 6, 68558, 5, 132, 119718, 29766, 36419, 93917, 26612, 3373, 97634, 71804, 29260, 3056, 6235, 240863, 29789, 4838, 6319, 119273, 13845, 6, 148346, 26612, 3131, 203749, 12483, 5, 13159, 7972, 30750, 6, 54260, 23405, 44779, 657, 4, 8903, 1211, 6, 23173, 75230, 6293, 3069, 31467, 10184, 49597, 6093, 10184, 49597, 23405, 6093, 42572, 33809, 1211, 1285, 185182, 2442, 1470, 75230, 2702, 4852, 98071, 2702, 6, 148346, 69452, 6, 37016, 230764, 215031, 185527, 4, 36324, 1285, 49597, 4269, 90848, 148346, 4113, 41764, 23174, 80453, 6, 148346, 119425, 148346, 12483, 6, 23173, 33809, 49268, 48904, 2442, 42572, 24295, 26, 2050, 6, 147502, 5, 76961, 364, 141943, 7508, 33809, 165354, 220224, 9424, 5, 4852, 22426, 30750, 4, 2200, 1470, 54260, 1211, 7508, 4, 506, 1470, 33809, 1211, 22639, 65482, 506, 75386, 9934, 98071, 2702, 26, 1211, 78104, 18415, 1644, 36909, 23174, 6093, 12, 2808, 48706, 14081, 179625, 9213, 6235, 2932, 112711, 18406, 5, 10001, 16635, 23150, 39, 3584, 5, 2808, 3523, 64213, 5, 2932, 2808, 5332, 9213, 19024, 29260, 6, 5, 3373, 97634, 1470, 119718, 34533, 6235, 3523, 29659, 7369, 364, 26612, 6, 64213, 13804, 6, 5, 9356, 32887, 1644, 6, 5, 6319, 13159, 5, 8903, 1211, 6, 5, 13804, 6, 5, 3069, 6, 5, 7508, 54260, 6, 5, 1470, 6, 121865, 6, 48253, 25603, 84087, 6, 5, 6, 75230, 219947, 6, 4, 8300, 119718, 710, 3523, 29659, 1470, 29259, 16667, 4112, 2882, 26394, 506, 21295, 292, 6235, 7369, 6655, 219947, 55242, 13805, 4112, 2882, 6, 4, 10184, 6293, 4112, 2882, 10339, 18250, 4112, 2882, 4, 13982, 710, 5, 6, 26394, 42023, 7243, 97995, 12, 7508, 91275, 6, 5, 47332, 6, 76776, 6, 5, 26612, 48706, 39083, 165592, 3131, 3056, 6235, 2932, 226976, 155, 16, 26612, 6319, 119273, 13845, 6, 148346, 26612, 3131, 203749, 12483, 4, 506, 64260, 7369, 3523, 34533, 23050, 905, 98071, 16803, 1054, 8903, 47709, 33809, 16803, 16, 905, 98071, 7916, 49597, 1644, 6, 125830, 72158, 4484, 13159, 4838, 12415, 57619, 33809, 3131, 203749, 12483, 2451, 506, 64260, 7369, 6235, 26394, 506, 21295, 12, 219947, 123959, 4, 219947, 3069, 2004, 219947, 29434, 54260, 4, 2932, 98071, 16803, 42572, 63188, 4, 7511, 49597, 29659, 10184, 23269, 6293, 4, 7511, 16803, 55242, 13805, 4, 7511, 49597, 29659, 22753, 1982, 12483, 4, 219947, 4838, 4944, 244640, 2882, 4, 710, 16, 55242, 506, 20632, 18553, 6, 148346, 87905, 5, 2947, 910, 101080, 31467, 14081, 17190, 506, 212915, 54260, 194706, 194255, 12483, 75230, 114955, 159696, 21295, 7511, 49597, 29659, 6, 129891, 4, 7511, 49597, 16803, 5, 95766, 230764, 119055, 13845, 4944, 244640, 12483, 42572, 98071, 5666, 59461, 8947, 6319, 54260, 2882, 1470, 75230, 2702, 6, 5, 7511, 49597, 46598, 26394 ]

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

[ 42023, 2004, 23050, 99403, 15533, 5332, 12483, 23173, 29771, 7201, 42572, 8580, 3373, 98071, 2702, 2205, 3496, 12483, 364, 69855, 26, 2702, 1470, 98071, 148346, 6093, 125523, 4838, 87311, 710, 95455, 1470, 18640, 71512, 5, 132025, 16747, 24295, 6, 148346, 54260, 6, 48904, 26, 37016, 42572, 23174, 6093, 5, 6428, 47351, 23050, 506, 36258, 18225, 163139, 101608, 6, 23173, 137377, 10676, 10184, 49597, 23405, 6093, 4, 144295, 710, 4944, 12483, 8947, 21374, 47332, 1470, 75230, 2702, 95455, 141879, 1054, 99766, 4, 1470, 75230, 110573, 92904, 4, 6, 148346, 98071, 4852, 8947, 6, 148346, 7972, 148346, 2882, 95766, 42572, 23174, 6093, 2451, 506, 92605, 12483, 76961, 2205, 1470, 30682, 6, 23173, 8580, 29434, 710, 874, 39083, 3373, 98071, 2702, 26, 1211, 105250, 16667, 238144, 21422, 905, 75322, 141847, 109316, 2932, 36419, 42572, 17310, 6093, 2451, 2865, 98071, 2882, 26, 1211, 16175, 54260, 18415, 1644, 2205, 874, 98071, 18415, 75386, 2702, 12483, 42572, 23174, 6093, 5, 132, 119718, 23173, 2702, 8300, 5, 5, 148346, 98071, 1211, 1470, 98071, 4667, 874, 98071, 2442, 6235, 119859, 49008, 115222, 36419, 44779, 3373, 33809, 51723, 5, 2648, 120467, 145813, 98071, 1644, 6235, 506, 2882, 9213, 119055, 12, 26784, 3523, 33809, 18553, 17446, 5, 148346, 98071, 1211, 6255, 16175, 98071, 2442, 6235, 119859, 49008, 6319, 4, 13159, 4113, 44779, 5, 38, 564, 33809, 96986, 4, 506, 64260, 205026, 27702, 8903, 2932, 35596, 4838, 12065, 42023, 5, 2451, 12065, 42023, 4, 364, 33809, 42023, 4, 48494, 203232, 3523, 34533, 33809, 4838, 8580, 32, 2451, 564, 26, 2932, 98071, 1982, 874, 98071, 2442, 6, 23173, 8580, 6, 48904, 26, 20961, 5, 113451, 16667, 9213, 4, 1644, 64260, 9221, 133933, 239162, 1211, 115222, 36419, 32792, 6, 98594, 5, 5, 1662, 1982, 98071, 1211, 1470, 98071, 4667, 16175, 9221, 6235, 76776, 8903, 1211, 115222, 36419, 44779, 6, 114650, 12483, 4, 506, 64260, 874, 98071, 4667, 27702, 8903, 2932, 35596, 123736, 364, 68558, 5, 2451, 364, 68558, 4, 364, 68558, 4, 1054, 120467, 4269, 34533, 33809, 4838, 8580, 4852, 2451, 564, 26, 2932, 98071, 148346, 6, 23173, 8580, 4838, 30109, 20616, 5, 506, 29771, 16667, 30109, 20616, 4, 506, 33809, 16667, 9213, 4, 1644, 29771, 2865, 98071, 2442, 1751, 203749, 12483, 115222, 36419, 44779, 133749, 2909, 568, 1181, 5, 1982, 98071, 1211, 1470, 98071, 4667, 874, 98071, 2442, 6235, 119859, 49008, 115222, 36419, 44779, 3373, 33809, 51723, 4, 85465, 200117, 874, 98071, 4667, 27702, 8903, 2932, 35596, 4838, 6319, 40096, 126968, 5, 2451, 6319, 40096, 126968, 4, 6319, 75322, 126968, 4, 95455, 3523, 98071, 16803, 33809, 6, 23173, 8580, 32, 2451, 564, 26, 2932, 98071, 148346, 4838, 8580, 6, 56052, 1751, 113889, 148346, 13845, 5, 4484, 40096, 126968, 2702, 1751, 113889, 69801, 4, 506, 183718, 30109, 20616, 27, 1470, 5, 36324, 5, 152, 5, 163139, 49597, 2200, 534, 194, 5, 12483, 115518, 1470, 98071, 4667, 874, 98071, 2442, 6235, 119859, 49008, 115222, 36419, 44779, 564, 33809, 2702, 12483, 4, 506, 64260, 205026, 6, 148346, 26612, 8903, 2932, 35596, 4838, 6, 119859, 54561, 5, 2451, 6, 119859, 54561, 4, 6, 119859, 54561, 4, 1054, 120467, 4269, 34533, 6, 23173, 8580, 32, 5, 564, 26, 2932 ]

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

[ 98071, 148346, 6, 23173, 8580, 6, 56052, 46654, 98071, 195054, 5, 119859, 54561, 26, 2702, 46654, 98071, 195054, 4, 4484, 40096, 126968, 2702, 1751, 113889, 148346, 13845, 27, 1470, 5, 36324, 5, 7508, 5, 1054, 98071, 1470, 98071, 36682, 194, 856, 5, 115518, 6255, 20033, 6235, 119859, 49008, 115222, 36419, 44779, 3373, 33809, 2702, 12483, 4, 506, 64260, 874, 98071, 4667, 6, 148346, 48904, 4113, 2932, 35596, 4838, 32887, 149364, 5, 2451, 16175, 40377, 6093, 4, 32887, 59919, 4, 1054, 120467, 33960, 126934, 6, 23173, 54260, 1211, 12, 2451, 564, 26, 2932, 16011, 6, 23173, 8580, 6, 56052, 46050, 195054, 5, 18415, 59919, 2702, 46050, 49597, 195054, 4, 119859, 54561, 26, 2702, 46654, 98071, 195054, 27, 1470, 36324, 5, 1054, 5, 2568, 98071, 2205, 6, 12483, 5, 25222, 119859, 49008, 115222, 2050, 5, 25207, 4667, 15857, 13458, 1211, 4, 506, 64260, 205026, 6, 148346, 26612, 8903, 23847, 66293, 4838, 6, 70380, 5, 2451, 564, 54260, 2442, 4, 7508, 75230, 2442, 4, 4231, 120467, 4269, 98071, 126934, 6, 47351, 32, 2451, 160759, 148346, 4838, 61621, 44855, 6, 36723, 203232, 5, 2702, 75230, 32206, 9424, 137377, 4, 55823, 148346, 6093, 2050, 6319, 98071, 195054, 5, 5, 1470, 5, 6, 47351, 5, 7508, 5, 15, 506, 12, 2205, 5332, 194, 5, 1662, 4113, 62808, 6235, 8903, 49008, 115222, 36419, 44779, 3373, 33809, 51723, 4, 506, 64260, 874, 98071, 4667, 6, 148346, 48904, 4113, 2932, 35596, 1470, 6, 17645, 93238, 98071, 4484, 15, 2808, 157245, 98071, 4484, 194, 2451, 6, 17645, 50856, 7682, 4, 4231, 188301, 5, 1054, 120467, 4269, 34533, 33809, 19532, 8580, 32, 2451, 564, 26, 2932, 16011, 6, 23173, 28320, 6, 56052, 6319, 48775, 2050, 5, 17645, 50856, 7682, 2050, 6319, 137377, 4, 2865, 75230, 32206, 9424, 137377, 27, 1470, 5, 36324, 5, 1054, 5, 163139, 49597, 2205, 615, 16, 856, 1181, 568, 5, 148346, 8580, 6255, 874, 98071, 2442, 6235, 8903, 49008, 115222, 36419, 44779, 3373, 33809, 51723, 4, 506, 64260, 205026, 3496, 26612, 8903, 5666, 35596, 4838, 6, 240858, 5, 2451, 45495, 506, 4, 45495, 506, 4, 25933, 203232, 3523, 98071, 16803, 33809, 6, 23173, 8580, 32, 2451, 564, 26, 2932, 98071, 1982, 6, 23173, 8580, 44855, 3373, 42695, 506, 5, 41643, 46244, 26, 2702, 6, 51437, 17188, 4, 17645, 50856, 7682, 2050, 30109, 71577, 27, 1470, 5, 6, 47351, 5, 119055, 5, 15, 506, 98071, 1470, 98071, 1211, 501, 856, 18, 568, 5, 17537, 115518, 6255, 20033, 6235, 119859, 49008, 115222, 36419, 44779, 45495, 51723, 4, 506, 59929, 205026, 27702, 8903, 5666, 35596, 4838, 31807, 59919, 5, 2451, 31807, 59919, 4, 6, 148346, 13845, 36909, 4113, 4, 1054, 120467, 4269, 98071, 16803, 33809, 6, 23173, 8580, 32, 17879, 148346, 6, 23173, 8580, 6, 56052, 6, 124470, 26659, 5, 69801, 59919, 2702, 6, 124470, 26659, 4, 240858, 26, 2702, 3373, 42695, 506, 27, 1470, 5, 6, 47351, 5, 1054, 5, 15, 506, 98071, 2200, 501, 11839, 141, 568, 5, 2808, 148346, 98071, 1211, 6255, 7544, 23050, 119859, 49008, 115222, 36419, 44779, 15857, 23822, 1211, 4, 506, 64260, 205026, 27702, 23269, 2932, 35596, 4838, 34076, 3149, 5, 2451, 34076, 3149, 4, 6 ]

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

[ 138763, 4, 199145, 4269, 21292, 1982, 33809, 6, 23173, 61621, 32, 2451, 564, 26, 2932, 16011, 6, 23173, 12483, 874, 54260, 1211, 4269, 4944, 21733, 48904, 2932, 5, 138763, 26, 2702, 6235, 21733, 48904, 2932, 4, 148346, 109316, 6093, 26, 2702, 7838, 27, 1470, 5, 6, 47351, 5, 1054, 5, 15, 2442, 12, 2205, 106, 2808, 2808, 5, 38, 2808, 148346, 98071, 1211, 6255, 6, 2050, 5, 4269, 4944, 2932, 226976, 115222, 36419, 44779, 15857, 51723, 4, 506, 120467, 205026, 27702, 23269, 8903, 66293, 4838, 364, 2884, 5, 2451, 123822, 1211, 4, 123822, 1211, 4, 48494, 203232, 4269, 98071, 16803, 6, 47351, 32, 2451, 6, 92867, 26, 2932, 98071, 1982, 4838, 61621, 874, 54260, 1211, 6235, 905, 48904, 2932, 5, 506, 33104, 26, 2702, 6235, 170355, 23405, 4, 138763, 26, 2702, 6235, 4484, 143409, 4, 69801, 59919, 26, 2050, 7508, 17188, 4, 41643, 46244, 26, 2702, 3373, 42695, 506, 4, 17645, 50856, 7682, 26, 2702, 70695, 203232, 4, 2702, 75230, 2648, 26, 2050, 9424, 137377, 4, 18415, 63188, 26, 2702, 46050, 195054, 4, 119859, 54561, 26, 2050, 147582, 195054, 4, 133249, 101080, 14081, 17190, 506, 212915, 148346, 54260, 1470, 33809, 54561, 6, 54260, 20315, 1211, 10069, 114955, 159696, 21295, 78683, 46545, 4113, 26, 2702, 1751, 113889, 148346, 13845, 4, 506, 171433, 26, 2050, 30109, 20616, 4, 113451, 2932, 26, 2702, 9213, 4, 1644, 64260, 9221, 1751, 203749, 12483, 115222, 101608, 171665, 4667, 6, 98594, 5, 132, 88660, 4852, 18415, 7511, 49597, 7611, 194, 13556, 16, 23822, 29111, 26, 23269, 6319, 98071, 126968, 292, 6, 148346, 26612, 2050, 4, 6, 148346, 29771, 2050, 4, 6, 148346, 29771, 2050, 5, 12415, 1211, 23050, 506, 63532, 4838, 68550, 7265, 4151, 7508, 183512, 44458, 26, 37016, 10339, 39083, 4113, 4, 230764, 215031, 185527, 4, 36324, 1211, 3131, 149311, 100863, 6, 148346, 1644, 54260, 148346, 2882, 4838, 75230, 2702, 8903, 2882, 2882, 87442, 6, 109995, 7508, 6093, 10339, 75230, 16803, 5, 6428, 47351, 6235, 506, 2882, 18225, 6, 18250, 3069, 31467, 5, 12130, 2205, 874, 26, 506, 34533, 1470, 30682, 95455, 6, 5, 2882, 2451, 4113, 12, 51963, 132025, 5666, 39248, 51723, 5, 6, 12483, 4231, 114436, 23050, 506, 36258, 5, 5, 6, 5, 905, 6, 5, 2808, 54196, 6, 17645, 12, 1468, 54745, 710, 5, 1468, 905, 10213, 5, 152, 2451, 5666, 29259, 5, 23822, 29111, 26, 57619, 21374, 126968, 568, 27, 42, 2451, 19, 568, 5, 2451, 292, 2648, 7961, 203326, 6, 5, 148346, 29771, 2050, 6, 4, 90848, 2050, 6, 4, 17645, 6, 5, 6, 30033, 6, 57619, 6, 5, 74680, 7369, 2451, 46711, 29111, 26, 23269, 21374, 126968, 292, 564, 120467, 4, 6, 148346, 29771, 2050, 4, 6, 148346, 29771, 2050, 5, 132, 119718, 23173, 36326, 5, 16, 1819, 304, 26394, 54574, 12483, 6319, 23269, 22426, 5, 2808, 127684, 6235, 506, 2882, 21422, 3523, 9424, 238144, 96986, 6, 119312, 6, 225975, 2882, 12, 2451, 6, 75230, 7916, 49597, 13845, 121193, 29060, 151614, 16803, 33809, 705, 95766, 97995, 364, 54260, 148346, 2882, 3523, 54260, 9934, 4852, 30682, 6, 68558, 220224, 3069, 31467, 6, 26394, 54574, 12483, 874, 98071, 2882, 4151, 7508, 183512, 3120, 10705 ]

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

[ 13497, 12483, 6, 23173, 75230, 6293, 12, 2451, 22639, 2702, 4, 9424, 119718, 710, 4, 1285, 5, 13342, 2050, 3373, 18167, 204982, 7369, 1470, 30682, 3373, 151227, 2205, 4151, 44917, 1211, 19532, 8580, 5, 2451, 10184, 6093, 5, 132, 137218, 38054, 134439, 5, 16, 1819, 363, 119718, 39083, 76776, 6428, 90848, 163177, 78683, 705, 710, 16, 2808, 54260, 59461, 42572, 25207, 98833, 10676, 9424, 238144, 96986, 12, 2451, 119055, 39083, 76776, 6428, 90848, 15907, 78683, 9934, 35596, 59919, 2882, 4231, 114436, 6428, 23173, 75230, 6293, 12, 2451, 1054, 39083, 76776, 5, 128750, 4113, 98833, 7369, 7746, 163139, 35189, 12, 2451, 6319, 97634, 4231, 16870, 4852, 18415, 705, 25442, 16, 2808, 98071, 4852, 4151, 64769, 5666, 59919, 12, 2451, 6, 137218, 1470, 98071, 16175, 98071, 4, 14004, 45521, 97634, 84977, 49597, 45521, 16932, 126925, 115952, 16, 2808, 98071, 16175, 64260, 2882, 57277, 34654, 905, 78683, 15, 68697, 15307, 38, 14004, 6, 76776, 41764, 18415, 2882, 15231, 119718, 46985, 5, 54260, 77518, 151461, 25207, 710, 16, 41764, 75230, 69181, 12, 1285, 6428, 90848, 25603, 39340, 3056, 6, 128750, 54260, 710, 12, 1211, 6, 4, 119055, 6093, 42572, 29771, 506, 33716, 705, 77518, 6, 5, 6255, 2200, 7508, 33809, 92500, 4151, 42572, 4113, 16932, 3373, 76179, 17410, 8580, 1285, 49597, 7038, 506, 24621, 25093, 15307, 2808, 33809, 1211, 6, 84577, 39340, 8903, 1211, 9213, 148346, 6093, 5, 13903, 16, 2808, 98071, 16747, 98071, 4484, 4, 119055, 12483, 1470, 98071, 4852, 10339, 195107, 705, 165592, 114955, 55242, 506, 12483, 6, 48904, 26, 14004, 213952, 4, 42572, 25207, 8903, 1211, 220224, 1470, 30682, 38, 2451, 1470, 98071, 16747, 98071, 4484, 4, 22639, 2442, 98071, 4484, 4, 21776, 1211, 1470, 98071, 26, 203841, 705, 43178, 4944, 59919, 2882, 7369, 12, 2451, 7508, 39083, 15529, 4, 7508, 39083, 61621, 4, 6, 90848, 50853, 5666, 711, 132, 36909, 23173, 150349, 121865, 5, 16, 107842, 51723, 6, 159696, 98833, 9934, 21106, 7611, 5, 8300, 238144, 6, 54260, 23405, 44779, 43649, 109316, 1211, 7746, 1470, 75230, 2702, 8903, 13982, 20616, 2882, 7265, 1285, 49597, 46654, 54260, 13159, 1470, 54260, 59461, 51220, 221895, 1211, 1470, 33809, 1211, 23050, 506, 51723, 7746, 364, 41595, 12483, 6, 23173, 33809, 46685, 6, 23173, 33809, 2050, 1285, 49597, 364, 141943, 4, 36324, 8947, 6319, 186466, 75230, 2702, 56170, 147713, 2882, 1470, 54260, 1211, 6, 29766, 46598, 4838, 68550, 4838, 83182, 16667, 4, 2200, 1470, 54260, 59461, 16175, 33809, 2882, 10676, 9424, 238144, 96986, 26612, 364, 75230, 148346, 2808, 75230, 6293, 230764, 7746, 230764, 7508, 6093, 162726, 54260, 26394, 2200, 6, 212484, 2882, 1470, 98071, 56417, 3069, 31467, 2442, 98071, 4484, 6, 23173, 137377, 3523, 98071, 16803, 23173, 75230, 2702, 23269, 506, 1982, 186797, 1285, 6, 29766, 13159, 1470, 54260, 59461, 10339, 33809, 1211, 221895, 1211, 4, 36324, 124724, 9424, 238144, 16932, 170479, 1470, 30682, 2808, 75230, 36909, 506, 54260, 148346, 12483, 1470, 75230, 7201, 26, 1211, 55242, 1644, 148346, 12483, 185527, 2205, 6, 212484, 2882, 1470, 30682, 4151, 113889, 4667, 6, 23173, 137377, 4, 4944, 10069, 4151, 6, 23173, 137377, 195054, 127827, 101608, 170479, 163139, 35189, 10676, 200795, 1211, 6, 138194, 7682, 125523, 4838, 16175, 39083, 1470 ]

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

[ 75230, 36909, 506, 75230, 148346, 64213, 5, 2205, 36324, 75230, 3496, 92904, 5, 95455, 41764, 98071, 1644, 364, 54260, 16803, 12, 6, 5, 2865, 26, 159696, 98833, 9934, 21106, 7611, 2909, 132, 36909, 23173, 3131, 80453, 54260, 2882, 5, 16, 112916, 26612, 55242, 4484, 109316, 14856, 54574, 5, 2808, 54260, 59461, 6, 226112, 98833, 10676, 9424, 238144, 96986, 230764, 6428, 12, 6, 148346, 7972, 26394, 2702, 4, 163139, 49597, 6, 73906, 18553, 26, 29659, 36324, 37016, 13845, 24621, 54574, 4, 2205, 7369, 71180, 2882, 12, 2451, 1054, 6093, 6319, 75230, 23741, 4, 119055, 6093, 6319, 75230, 159212, 4838, 55242, 4484, 109316, 14856, 54574, 705, 4484, 33809, 112907, 3523, 33809, 1470, 30682, 21422, 4838, 3523, 119718, 710, 16932, 2200, 23050, 506, 63532, 6, 68558, 6, 109995, 364, 183512, 2205, 112216, 2882, 29659, 22753, 1470, 98071, 56417, 2808, 54260, 1211, 2205, 6, 225975, 2882, 12, 2451, 1054, 98071, 46711, 6093, 705, 35596, 36909, 77188, 7369, 1470, 98071, 56417, 1470, 75230, 4667, 7265, 4838, 137, 7201, 40096, 2702, 2205, 155, 1285, 49597, 364, 183512, 2200, 6, 225975, 2882, 12, 2451, 4838, 29434, 54260, 6093, 711, 2932, 98071, 2882, 1470, 30682, 6, 54260, 114436, 44917, 200117, 23173, 39083, 4838, 10339, 59929, 2882, 2205, 1054, 29771, 13497, 5, 2451, 163139, 49597, 1751, 47351, 705, 2932, 21292, 7369, 6, 17645, 119132, 3523, 9221, 7682, 4838, 6, 148346, 23173, 2050, 2205, 6, 101328, 98833, 12, 2451, 4838, 10339, 26612, 8580, 1054, 26612, 112216, 2882, 15231, 5, 7511, 49597, 2882, 1470, 30682, 4231, 65482, 119055, 2442, 35189, 4838, 10339, 40096, 2702, 2205, 6, 225975, 1982, 12, 2451, 6, 75230, 7511, 22426, 98071, 4484, 705, 2932, 15907, 7369, 6, 17645, 119132, 98252, 6, 92605, 3111, 22426, 1470, 98071, 1211, 4151, 364, 183512, 6, 23173, 54260, 1211, 1470, 33809, 1211, 1054, 29771, 2932, 2702, 38, 2451, 4838, 136645, 49597, 22426, 7682, 5, 151461, 76216, 79981, 16, 14081, 50490, 119718, 23173, 710, 84577, 5, 2451, 36324, 37016, 13845, 14856, 54574, 5, 2451, 1054, 12, 46711, 6093, 2451, 29434, 63188, 5, 2451, 874, 26, 57277, 47332, 657, 218241, 3131, 12483, 4, 3373, 26, 88660, 47332, 564, 23173, 26, 1211, 10184, 6093, 5, 125868, 26612, 6319, 13845, 69801, 3069, 31467, 42572, 6093, 4484, 75230, 36909, 12483, 5, 2451, 6319, 13845, 148346, 109316, 14856, 4113, 711, 163137, 101080, 31467, 14081, 17190, 506, 212915, 5666, 54260, 194706, 6, 54260, 20315, 1211, 10069, 114955, 159696, 21295, 4484, 54260, 2882, 18225, 3069, 31467, 1470, 30682, 21422, 2200, 18225, 42572, 25207, 98833, 1470, 98071, 56417, 5, 2451, 1054, 98071, 46711, 6093, 705, 35596, 17645, 15907, 6, 89184, 2451, 4838, 29434, 63188, 5, 22680, 4113, 98833, 1470, 30682, 4231, 114436, 12, 2451, 292, 1054, 98071, 874, 99438, 705, 35596, 36909, 93497, 7369, 12, 2451, 4838, 17190, 39340, 4667, 5, 22680, 4113, 98833, 1470, 98071, 506, 2882, 4231, 114436, 12, 2451, 1054, 98071, 78104, 48253, 705, 35596, 36909, 77188, 7369, 12, 2451, 2205, 3947, 27, 609, 6, 23173, 54260, 1211, 4838, 112216, 15231, 2882, 5, 132, 30750, 148346, 25207, 149311, 6, 107581, 78651, 5, 46050, 1211, 194, 2451, 2808, 101839, 119718, 23173, 710, 84577, 5, 41643, 148346, 23173, 47351, 5, 51723, 23050 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 63532, 4838, 192544, 230764, 1285, 49597, 162726, 710, 149625, 2205, 18225, 6, 226112, 98833, 8947, 2200, 18225, 25391, 54260, 2882, 12, 2451, 564, 26, 85465, 200117, 3069, 31467, 18583, 4484, 75230, 55823, 1211, 4838, 6, 148346, 23173, 47351, 5, 2451, 1054, 98071, 16175, 54260, 6093, 705, 2451, 4838, 29434, 54260, 6093, 5, 2451, 1285, 49597, 6, 95494, 26, 1211, 705, 2451, 4838, 112216, 4484, 5, 92500, 7508, 6093, 9424, 238144, 16932, 4269, 98071, 2882, 10676, 192544, 4838, 6, 148346, 29060, 2702, 13845, 2205, 6235, 4852, 13159, 19532, 12483, 5, 132, 63188, 29060, 68438, 4, 17824, 142429, 5, 33960, 148346, 5, 16, 2451, 29771, 35189, 4151, 1285, 26612, 203749, 3523, 77188, 36324, 75230, 12, 2451, 25933, 33809, 506, 8580, 32899, 76216, 33716, 2882, 33809, 705, 2451, 6, 112452, 6319, 75230, 1644, 5, 2451, 7265, 25933, 203232, 364, 183512, 13845, 16803, 33809, 705, 2451, 7265, 1054, 39083, 5, 2451, 163139, 49597, 46711, 6093, 705, 2451, 55242, 13805, 29434, 63188, 5, 2451, 9934, 98071, 874, 99438, 32, 2451, 4838, 1751, 46545, 13845, 17190, 48775, 4667, 5, 2451, 364, 98071, 193042, 8580, 2451, 1285, 49597, 2442, 4838, 10339, 26612, 8580, 5, 132, 2882, 86733, 78683, 54260, 4, 21374, 4113, 119718, 5, 33960, 148346, 5, 16, 2648, 98071, 46440, 12483, 24012, 46685, 18825, 2451, 15276, 6, 104378, 8248, 4667, 207748, 4838, 75386, 18583, 75230, 1644, 33809, 23405, 3120, 7508, 6093, 48775, 13805, 65482, 7265, 19302, 54260, 13497, 16629, 8903, 114955, 5, 9747, 3069, 31467, 6, 238144, 1644, 12483, 84475, 3069, 31467, 18583, 3131, 22426, 15350, 12483, 26612, 121193, 35465, 23050, 506, 36258, 18225, 8947, 230764, 6428, 12, 162726, 54260, 26394, 2702, 2200, 564, 12483, 7508, 18415, 21295, 6428, 39248, 2865, 98071, 2882, 207748, 2808, 71512, 24464, 6428, 12, 1470, 75230, 2702, 8903, 25207, 4944, 244640, 35596, 4113, 46440, 12483, 5, 77671, 98055, 6093, 37016, 33809, 711, 8300, 238144, 114955, 48706, 109316, 1211, 7746, 6, 23173, 37016, 9213, 21338, 710, 4944, 244640, 6093, 230764, 6, 48904, 26, 183512, 6093, 6, 99766, 4, 98055, 18250, 8300, 17494, 5, 27, 2451, 5, 3584, 7961, 3523, 5666, 9213, 4231, 6, 5, 14779, 1285, 17806, 3523, 17806, 2451, 32, 6, 49008, 292, 64890, 292, 6235, 6, 75230, 119055, 10705, 97483, 53082, 6, 5, 73095, 292, 6, 5, 8300, 1470, 125523, 5, 2882, 9221, 1285, 16175, 13458, 5, 506, 24295, 705, 6, 105235, 21295, 23269, 6428, 13159, 364, 15907, 4231, 119718, 15435, 7508, 9221, 7544, 5, 3523, 4667, 5, 49209, 23292, 9721, 364, 29060, 119055, 6093, 2451, 6319, 33809, 75290, 37016, 710, 711, 35596, 112268, 7508, 6093, 3523, 119718, 15907, 50856, 12, 2451, 22444, 67882, 24621, 1470, 98071, 26, 6, 54260, 97634, 5, 50856, 82576, 12, 2451, 25933, 33809, 26, 4852, 98071, 6235, 240863, 12483, 32, 8300, 119718, 710, 16932, 12, 2451, 125523, 4838, 37603, 109316, 6, 148346, 98071, 2442, 5, 6093, 82576, 12, 2451, 25933, 33809, 26, 29060, 55242, 26, 2882, 43649, 109316, 1211, 705, 10918, 75230, 16932, 12, 2451, 1470, 33809, 13497, 6093, 15, 506, 98071, 13497, 6093, 16, 1285, 49597, 16175, 9221, 5, 6093, 3131, 16932, 12, 2451, 874, 98071, 2882, 48494, 203232, 26, 29060, 874, 30741, 26, 21292 ]

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

[ 3069, 31467, 20315, 165354, 705, 96951, 54260, 16932, 12, 2451, 874, 98071, 2882, 4838, 6, 148346, 75230, 8903, 1211, 112216, 22426, 9221, 5, 6093, 3131, 16932, 12, 2451, 119055, 6093, 26, 29060, 2181, 1470, 75230, 34575, 98071, 20260, 12483, 8300, 238144, 16932, 5, 2451, 6, 101328, 4667, 3373, 5, 2882, 1285, 49597, 2442, 5, 119718, 23173, 36326, 194, 2451, 2808, 123641, 119718, 23173, 710, 84577, 2451, 21374, 39340, 37016, 710, 711, 2451, 6428, 5, 6, 57277, 117397, 1470, 98071, 26, 3523, 98071, 2702, 97634, 5, 2451, 6, 33353, 3056, 9934, 98071, 6235, 36909, 29771, 46244, 12483, 705, 2451, 6, 112452, 6, 170355, 25616, 29060, 2050, 5, 1211, 119055, 905, 23173, 710, 5, 33960, 1982, 5, 5950, 48904, 2050, 4484, 5, 21374, 905, 194, 2451, 25933, 203232, 364, 26612, 2050, 9934, 98071, 6235, 148346, 189623, 13497, 705, 2451, 4838, 78104, 16747, 109316, 6, 109600, 5, 2451, 7265, 48494, 203232, 37826, 9934, 98071, 26, 2702, 56170, 3131, 97634, 23741, 705, 2451, 7265, 4838, 175483, 109316, 112216, 22426, 98071, 2442, 5, 2451, 7508, 6093, 37826, 2181, 1470, 75230, 1982, 8903, 23822, 98071, 20260, 12483, 705, 2451, 6, 137218, 4667, 874, 98071, 2882, 7508, 98071, 2442, 5, 2451, 15, 2702, 39083, 26612, 13159, 29789, 905, 4, 119055, 23173, 2702, 5, 33960, 148346, 5, 16, 2702, 12483, 101080, 31467, 14081, 17190, 87637, 47351, 6, 148346, 54260, 1470, 33809, 54561, 4231, 33809, 20315, 1211, 24244, 2702, 16, 119718, 23173, 710, 84577, 5, 2451, 6319, 123329, 37016, 33809, 38, 2451, 7508, 6093, 16175, 174121, 3056, 3523, 98071, 29659, 11211, 5, 2451, 25933, 33809, 3056, 7369, 6235, 27720, 76216, 25207, 1211, 32, 2451, 6, 112452, 657, 33809, 148346, 1644, 98071, 2884, 194, 2451, 95455, 1054, 29060, 7369, 6, 148346, 25207, 183216, 32, 2451, 4838, 6, 109600, 5, 4838, 2451, 81179, 1054, 29060, 7369, 48494, 203232, 43649, 13845, 26, 1211, 32, 2451, 1470, 33809, 13497, 6093, 1285, 16175, 98071, 2442, 5, 2451, 7265, 119055, 448, 21776, 2050, 7369, 48494, 203232, 3069, 31467, 25207, 165354, 32, 2451, 874, 98071, 2882, 4838, 4269, 39083, 20315, 119132, 10339, 71577, 9221, 5, 2451, 7508, 6093, 364, 29060, 48494, 203232, 1470, 75230, 34575, 98071, 20260, 12483, 32, 2451, 6, 17645, 4667, 874, 98071, 2882, 7508, 98071, 2442, 5, 7201, 23173, 26394, 905, 4, 73095, 55546, 5, 33960, 148346, 16, 2451, 6319, 33809, 4484, 109316, 21374, 38, 2451, 7508, 98071, 67882, 24621, 6, 99611, 97634, 5, 47709, 33809, 6, 26, 905, 98071, 6235, 27720, 76216, 25207, 1211, 32, 2451, 6, 112452, 657, 33809, 148346, 79981, 5, 2451, 25933, 203232, 6, 26, 29060, 9934, 98071, 6, 199511, 32, 2451, 4838, 45521, 2702, 109316, 564, 98071, 2442, 5, 2451, 119055, 2808, 33809, 26, 29060, 9934, 98071, 26, 2702, 43649, 109316, 1211, 32, 2451, 1470, 33809, 13497, 6093, 1285, 49597, 16175, 98071, 2442, 5, 2451, 1470, 33809, 54561, 6, 26, 13159, 98071, 2442, 76961, 6, 57277, 57619, 12483, 6, 47351, 7508, 98071, 16175, 33809, 46244, 5, 132, 148346, 4113, 4944, 244640, 4113, 159696, 4, 657, 33809, 148346, 1644, 5, 3523, 33809, 148346, 5, 194, 1019, 111885, 26612, 6, 105515, 126968, 5, 218161, 9424, 98071, 506, 2882, 9934, 98071, 4667, 1470 ]

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

[ 75230, 2702, 230764, 29434, 26, 6093, 2648, 874, 98071, 2882, 26, 1211, 60106, 2702, 4838, 90848, 7201, 4, 23050, 506, 33716, 1470, 98071, 56417, 68558, 4838, 9424, 119718, 710, 101608, 6, 148346, 54260, 7508, 98071, 42572, 21292, 1470, 33809, 1211, 364, 54260, 148346, 2882, 9213, 506, 2702, 230764, 1470, 33809, 1211, 364, 186955, 1470, 30682, 6, 148346, 54260, 7508, 12, 6, 131445, 26612, 119718, 163139, 49597, 18225, 42572, 98071, 506, 33716, 4838, 16175, 40096, 126968, 5, 7369, 10184, 49597, 506, 33716, 1470, 98071, 56417, 36324, 75230, 6, 23173, 33809, 2050, 1470, 33809, 1211, 4151, 657, 98071, 141943, 98071, 6, 61397, 46050, 48788, 1470, 75230, 4667, 6428, 12, 364, 141943, 2205, 128629, 506, 657, 171428, 6, 23173, 75230, 6293, 230764, 4151, 137, 2882, 40096, 95564, 79238, 2702, 127684, 4, 6, 235210, 2442, 5, 364, 39083, 7611, 4, 10339, 71577, 9221, 1470, 5, 4231, 5, 34076, 5, 132, 1644, 142429, 1211, 194, 108504, 2808, 75230, 36909, 26, 1211, 6, 148346, 23173, 47351, 5, 8300, 238144, 6, 54260, 23405, 44779, 23050, 506, 51723, 20632, 54260, 30109, 7972, 107829, 8903, 67826, 59461, 5, 22639, 6093, 657, 176727, 4838, 25603, 215052, 54260, 1211, 874, 54260, 1211, 1470, 54260, 4667, 7508, 6093, 7369, 2648, 2205, 4151, 221895, 2442, 6, 105235, 21295, 9934, 98071, 4667, 187667, 4838, 117902, 2442, 81414, 49597, 2882, 2205, 137377, 59461, 905, 40920, 3373, 1470, 30682, 2205, 21422, 21295, 7746, 6, 127583, 220224, 1211, 43649, 54260, 1211, 1470, 98071, 1211, 10676, 43649, 54260, 1211, 4, 199145, 2200, 1644, 41595, 1470, 54260, 6293, 4151, 8009, 1470, 54260, 148346, 7369, 6, 186145, 159212, 95836, 1470, 98071, 46244, 220224, 6, 17645, 119132, 48706, 54260, 1211, 6, 23173, 54260, 1211, 4, 2702, 80453, 24295, 13497, 6235, 119718, 17800, 100863, 98071, 4667, 4151, 3373, 149311, 120202, 230764, 4838, 6235, 119718, 710, 36419, 3373, 186145, 39340, 5, 1285, 49597, 6, 90848, 4852, 98071, 8903, 34575, 4113, 107581, 6, 94741, 63020, 1470, 30682, 95455, 4231, 33809, 23405, 13845, 5, 199145, 37826, 6, 23173, 13845, 195054, 35596, 10676, 48706, 8580, 4, 23050, 506, 4113, 51723, 1470, 54260, 6293, 4151, 162726, 710, 26394, 4, 6428, 5, 364, 5, 6, 5, 2808, 75230, 7201, 26, 1211, 6, 148346, 23173, 68558, 123736, 6093, 6, 5, 88660, 2882, 95564, 109316, 77518, 5, 7369, 23269, 506, 63532, 7746, 4838, 16847, 874, 98071, 2882, 1285, 49597, 364, 141943, 6, 148346, 54260, 4231, 114436, 2702, 364, 21106, 4852, 2200, 4231, 114436, 18583, 23269, 506, 63532, 1470, 98071, 56417, 29257, 94592, 220224, 23269, 364, 98071, 13497, 12483, 7265, 1285, 49597, 364, 141943, 2205, 36324, 54260, 6, 94741, 63020, 7369, 1470, 30682, 6, 226112, 8903, 1211, 4838, 506, 98071, 1211, 2808, 33809, 1211, 3069, 31467, 2442, 7682, 1285, 4269, 48904, 26394, 6428, 186145, 39340, 42572, 24295, 26, 2050, 6, 99766, 119055, 10705, 4151, 48706, 8580, 1470, 98071, 4852, 6235, 7201, 21106, 12483, 6, 148346, 15533, 13342, 2050, 6, 120467, 4, 119055, 10705, 8947, 657, 176727, 4151, 9424, 119718, 710, 16932, 43649, 54260, 1211, 5, 77518, 2205, 119055, 59929, 4113, 364, 54260, 16803, 95455, 12, 6, 5, 88660, 21087, 21106, 148346, 2004, 2205, 3373, 29771, 4944, 244640, 40096, 20315, 9183, 4, 1054, 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 ]

[ 32206, 5, 25222, 148346, 5, 16, 6, 5, 38249, 12890, 1982, 4, 54260, 4113, 2004, 42572, 8580, 41764, 54260, 710, 98071, 2702, 12483, 12, 1650, 19, 85788, 11030, 2648, 54260, 157245, 6093, 119718, 710, 21295, 75230, 148346, 21106, 2648, 1470, 54260, 59461, 6, 186145, 23741, 3523, 5, 2882, 2205, 67826, 1211, 6, 23173, 54260, 1211, 2451, 94741, 1211, 6235, 506, 2882, 6, 109995, 186046, 23822, 4, 6428, 5, 364, 5, 220224, 1211, 48706, 8580, 6, 148346, 7972, 148346, 2882, 657, 5, 8903, 1211, 1470, 33809, 1211, 4151, 9424, 238144, 16932, 145813, 98071, 44478, 119055, 23173, 159212, 5, 132, 1644, 142429, 1211, 16, 1126, 16, 36909, 13159, 109316, 6, 148346, 98071, 2442, 5, 8300, 119718, 710, 114955, 4, 148932, 23050, 506, 33716, 9934, 98071, 4667, 4838, 68550, 874, 98071, 2882, 4151, 21776, 4944, 244640, 16932, 364, 183512, 163139, 148346, 48775, 35044, 29060, 6, 23173, 33809, 2050, 1285, 49597, 130154, 4113, 7508, 183512, 6, 148346, 2050, 18133, 42410, 4, 2205, 7265, 4151, 42572, 144295, 4231, 98071, 20260, 6093, 16747, 23050, 506, 51723, 220224, 7746, 6, 113889, 4944, 244640, 20315, 2050, 230764, 10676, 55242, 1644, 148346, 12483, 2190, 152656, 6, 23173, 33809, 2050, 22639, 6093, 10676, 35189, 1211, 6, 23173, 33809, 2702, 18133, 42410, 5, 36324, 75230, 36324, 8947, 6319, 33809, 63532, 1470, 75230, 2702, 42572, 33809, 1211, 6, 148346, 88945, 16667, 185182, 2442, 4838, 4269, 22426, 1644, 29771, 4944, 244640, 16932, 6319, 54260, 23173, 40096, 5, 84475, 220224, 23050, 46244, 12483, 7746, 6, 68558, 564, 54260, 7508, 98071, 364, 141943, 6235, 25616, 54260, 56169, 4, 2205, 117902, 2442, 16747, 9213, 148346, 6093, 1285, 49597, 221895, 15, 10069, 21776, 4944, 244640, 18415, 364, 183512, 364, 186955, 1285, 49597, 7508, 91275, 18415, 1470, 33809, 1211, 1285, 657, 98071, 20260, 141943, 364, 186955, 1285, 49597, 130154, 5, 194, 4151, 2865, 98071, 2882, 3056, 1054, 6093, 40096, 4838, 6235, 4852, 13159, 1470, 33809, 1211, 4838, 29434, 98071, 2882, 6319, 98071, 16747, 56169, 124724, 4838, 54260, 6293, 230764, 21776, 1982, 10367, 16747, 8903, 39293, 2050, 2205, 23050, 506, 47332, 1285, 6, 18250, 54260, 6, 23173, 33809, 2050, 6, 148346, 54260, 7508, 98071, 1644, 33104, 42355, 15622, 4852, 2882, 7746, 152, 1211, 1285, 6, 23173, 64071, 90848, 8903, 1211, 1470, 33809, 1211, 6428, 12, 9424, 119718, 710, 22753, 183216, 6, 148346, 14236, 26, 1211, 710, 5, 15231, 5, 2932, 4944, 5, 12, 7201, 8300, 2702, 34709, 8300, 6, 109600, 5, 69909, 16495, 516, 568, 5, 10918, 16175, 54260, 73095, 10339, 8300, 4, 59461, 1054, 34709, 16175, 64213, 80453, 120467, 6, 112452, 34654, 1211, 1470, 4112, 2882, 1157, 26, 78104, 48775, 6, 138194, 292, 10184, 9934, 4838, 6, 29766, 55823, 710, 109316, 6, 148346, 9221, 4, 16580, 18415, 1644, 21422, 7508, 98071, 6, 29631, 1644, 29771, 26, 3523, 34533, 6, 23173, 8580, 6, 112452, 116486, 80885, 1211, 55242, 1644, 59461, 4, 5666, 29766, 6, 48904, 26, 29771, 7916, 49597, 138194, 5, 94741, 1211, 6, 212484, 2882, 18225, 1470, 30682, 4838, 90848, 7201, 2200, 6, 148346, 2442, 3523, 5, 506, 15907, 8248, 4667, 6, 68558, 6, 148346, 54260, 1285, 49597, 11211, 16747, 874, 98071, 2050, 119132, 42572, 8580, 1285, 57159, 2200, 4151 ]

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

[ 6, 128750, 54260, 8903, 148346, 12, 57619, 59461, 55242, 56169, 9934, 98071, 2648, 1470, 75230, 36909, 8580, 137, 506, 141943, 2932, 4, 155, 2205, 1285, 49597, 6, 150349, 54260, 6235, 506, 2882, 3069, 31467, 125523, 6, 59929, 39083, 6, 54260, 2200, 132025, 506, 75230, 148346, 4, 36324, 75230, 68248, 5, 132, 36909, 23173, 3131, 80453, 54260, 2050, 1470, 98071, 1211, 41764, 54260, 1644, 35465, 5, 5, 16, 21631, 33809, 5927, 36909, 54260, 195054, 5, 10069, 46685, 6, 186145, 23741, 8248, 4667, 123736, 23741, 4, 4838, 905, 1285, 49597, 1751, 119718, 21106, 148346, 12483, 147582, 506, 12483, 3069, 31467, 235210, 12483, 2205, 4838, 93704, 4113, 2205, 6, 98594, 125830, 53414, 5, 2648, 98071, 7508, 83182, 34076, 75230, 1982, 12890, 4, 36324, 4151, 39083, 2882, 107776, 564, 54260, 1285, 49597, 42572, 54260, 151227, 207748, 4838, 364, 4775, 159696, 1211, 66334, 67882, 4944, 244640, 2702, 7746, 215031, 6, 150349, 87442, 89184, 4, 58571, 12483, 6428, 12, 114955, 4838, 506, 98071, 1211, 132025, 13342, 1644, 75230, 152656, 2702, 48904, 26394, 1211, 2200, 145813, 12415, 183216, 2205, 9934, 98071, 183216, 6, 23173, 75230, 6293, 21422, 1285, 49597, 10339, 54260, 195054, 12, 148346, 98229, 178107, 48253, 8300, 5, 568, 5, 5, 5814, 42, 5, 31, 5, 2451, 4, 195054, 10339, 54260, 1054, 12, 87637, 2451, 3149, 6, 4, 48253, 1982, 6, 178107, 9356, 2865, 88660, 4667, 17190, 17190, 21374, 29060, 710, 1470, 20033, 6, 154289, 29771, 15907, 15231, 153222, 4, 21631, 33809, 5927, 7916, 195054, 133826, 101080, 31467, 14081, 17190, 506, 212915, 148346, 54260, 9213, 25222, 4231, 33809, 20315, 1211, 2932, 98071, 155, 20033, 4838, 67826, 49597, 4484, 109316, 17190, 78683, 4667, 2648, 98071, 6, 148346, 2442, 183512, 5, 132, 36326, 148346, 25207, 3131, 98071, 1211, 4, 3496, 244640, 13845, 2050, 5, 30109, 54260, 4852, 194, 121387, 2932, 90848, 148346, 6093, 10339, 75230, 6093, 1470, 33809, 1211, 1285, 49597, 59461, 41764, 75230, 6093, 5, 13159, 145813, 98071, 1644, 12483, 10184, 49597, 6093, 4231, 33809, 5666, 5666, 44779, 5, 2205, 1285, 49597, 6, 222907, 6235, 506, 2882, 3069, 31467, 36324, 75230, 12, 18225, 23050, 506, 63532, 36909, 98071, 6093, 364, 21106, 148346, 4113, 1751, 39083, 12483, 10339, 33809, 1211, 6, 159696, 21295, 65482, 3523, 98071, 2050, 2205, 1470, 54260, 59461, 16175, 33809, 2882, 220224, 4838, 119055, 29766, 6293, 2205, 4151, 506, 75230, 4667, 5, 36324, 76961, 42572, 98071, 6093, 42572, 21106, 12483, 123736, 36909, 12483, 4, 874, 98071, 2882, 4151, 364, 75230, 44478, 220224, 2882, 6, 23173, 75230, 6293, 4, 1470, 98071, 4852, 6, 145146, 4, 2648, 5, 364, 5, 6, 145146, 119055, 77188, 4151, 4, 199145, 37826, 6235, 119718, 29766, 55823, 1211, 5, 7201, 21106, 12483, 29434, 710, 123736, 55823, 1211, 4, 1470, 98071, 4852, 1285, 49597, 59461, 41764, 75230, 6093, 74, 26394, 54260, 2451, 2702, 43178, 50273, 4113, 15, 12415, 92867, 16932, 16, 84475, 6, 88660, 4852, 92605, 74, 2808, 54260, 16667, 2451, 2932, 90848, 148346, 6093, 41764, 75230, 6093, 5, 113889, 46104, 46598, 119055, 23173, 159212, 4838, 9424, 238144, 16932, 2205, 6, 113889, 4944, 244640, 20315, 2050, 29434, 710, 16932, 2200, 73784, 3496, 47890, 4151, 36909, 63188, 16932, 5, 159696, 1211, 6, 148346, 54260, 1470, 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 ]

[ 119132, 42572, 186955, 95455, 55242, 1644, 148346, 4113, 199145, 6, 148346, 710, 4838, 9424, 119718, 710, 96986, 4, 1751, 98071, 16803, 18225, 4852, 98071, 4667, 123736, 7201, 6428, 5, 364, 5, 6, 148346, 88945, 6235, 506, 12483, 1470, 98071, 148346, 6093, 5, 119055, 12483, 8947, 10339, 186955, 6, 148346, 54260, 1470, 54260, 23269, 2882, 10339, 33809, 1211, 1285, 9424, 238144, 2648, 120467, 1470, 54260, 2932, 65482, 4, 199145, 4838, 29434, 98071, 16932, 1470, 98071, 4852, 6235, 119718, 29766, 12483, 15, 145146, 4, 4269, 90848, 148346, 6093, 4, 41764, 75230, 6093, 1470, 5, 6428, 5, 4269, 5, 16, 3131, 98071, 16803, 7369, 7746, 120202, 874, 98071, 2882, 26, 1211, 29434, 98071, 96986, 4, 6, 148346, 54260, 20315, 6235, 506, 12483, 6428, 47351, 4, 364, 54260, 16803, 2181, 4, 9213, 148346, 6093, 5, 1470, 33809, 1211, 165592, 148932, 37826, 1751, 75230, 1211, 220224, 1211, 6, 113889, 51723, 4, 364, 75230, 148346, 2882, 9934, 98071, 4667, 6, 68558, 12, 364, 186955, 4151, 6, 88660, 4852, 92605, 4838, 6, 148346, 174121, 16580, 16, 1470, 98071, 1211, 4151, 364, 183512, 1470, 33809, 1211, 4151, 6, 145146, 364, 54260, 40920, 6235, 148346, 12483, 19302, 4113, 22426, 21776, 2050, 4269, 90848, 148346, 12483, 41764, 75230, 6093, 2808, 33809, 1211, 10676, 1285, 49597, 23269, 2702, 41764, 75230, 6093, 5, 2451, 2442, 6093, 6, 145146, 6, 148346, 26612, 55823, 506, 21295, 12, 137, 20315, 2050, 4269, 90848, 148346, 12483, 41764, 75230, 6093, 170479, 16803, 33809, 8903, 148346, 12483, 55242, 13805, 4269, 90848, 148346, 4113, 19302, 46598, 2205, 10184, 49597, 6093, 1285, 23269, 19302, 4113, 22426, 1470, 33809, 1211, 6428, 13159, 1285, 49597, 119132, 10339, 75230, 6093, 170479, 16803, 33809, 8903, 148346, 12483, 9424, 238144, 4269, 90848, 148346, 4113, 19302, 4113, 22426, 1470, 33809, 1211, 55242, 13805, 1285, 49597, 23269, 19302, 4113, 22426, 5, 1470, 33809, 1211, 4151, 6, 88660, 4852, 92605, 6, 111684, 33716, 1470, 75230, 2702, 20315, 2050, 6, 148346, 26612, 36909, 20616, 1644, 5, 132, 1644, 142429, 1211, 194, 710, 16, 10339, 75230, 1644, 98071, 3131, 12, 1777, 1663, 117942, 31249, 13456, 108968, 5, 2702, 7213, 1644, 12483, 16742, 9213, 2702, 6, 54260, 23405, 44779, 6, 33809, 1211, 6, 238144, 7508, 54260, 506, 4113, 4, 3523, 71512, 6, 84577, 39340, 8903, 1211, 35189, 221895, 2442, 120202, 61397, 33809, 20911, 230764, 4838, 2932, 5666, 119718, 98071, 36419, 6, 238144, 18415, 1751, 186145, 39340, 4, 1470, 33809, 1211, 18225, 364, 186955, 7746, 36909, 119273, 6, 148346, 54260, 1285, 49597, 364, 141943, 1470, 33809, 1211, 6, 148346, 54260, 148932, 7508, 54260, 506, 43649, 20616, 2882, 6, 48904, 26, 13845, 125830, 159696, 2442, 5, 2932, 98071, 2882, 1470, 54260, 1211, 895, 2882, 82576, 4838, 6235, 25391, 54260, 73784, 9424, 238144, 96986, 12, 2451, 14764, 20109, 38, 35596, 59919, 2882, 4151, 9424, 238144, 16932, 5, 2451, 1751, 98071, 4484, 1285, 49597, 32054, 75230, 84475, 12, 1751, 98071, 4484, 34654, 1211, 42572, 39083, 4484, 5, 16, 6093, 3131, 16932, 12, 2451, 7508, 12, 32054, 75230, 1470, 98071, 4852, 18583, 148346, 2442, 35596, 5, 8300, 238144, 16932, 12, 2451, 1054, 6093, 4838, 79981, 18583, 148346, 2442, 35596, 5, 6093, 3131, 16932, 12, 2451, 20109, 2451, 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 ]

[ 7682, 38, 3131, 98071, 20911, 4151, 9424, 238144, 16932, 6, 23173, 75230, 2702, 1470, 54260, 119132, 15, 2702, 26, 62763, 19302, 75230, 148346, 2882, 18225, 1470, 75230, 2702, 4838, 42572, 7972, 20260, 12483, 1470, 33809, 1211, 4838, 43649, 23173, 165354, 16, 7369, 170479, 9213, 148346, 150839, 92605, 12483, 1285, 49597, 21776, 506, 5, 5332, 75230, 22426, 2882, 4231, 114436, 4838, 506, 98071, 1211, 2200, 3131, 80453, 98071, 23405, 2882, 3069, 31467, 874, 98071, 2882, 6, 48904, 26, 2808, 98071, 2865, 109636, 2882, 3069, 31467, 9424, 238144, 2205, 4151, 7508, 54260, 506, 9934, 98071, 4667, 3069, 235210, 12483, 506, 186955, 186797, 4113, 185182, 2442, 1470, 33809, 1211, 36324, 7369, 7508, 34533, 1470, 98071, 148346, 6093, 4, 19302, 75230, 148346, 2882, 7369, 9934, 98071, 4667, 1470, 75230, 2702, 1470, 54260, 119132, 42572, 33809, 1211, 1285, 9424, 238144, 2808, 33809, 1211, 6235, 506, 36258, 1470, 98071, 506, 2702, 874, 98071, 2882, 3069, 31467, 220224, 1211, 7508, 54260, 506, 5, 1470, 98071, 148346, 150839, 92605, 12483, 6, 94741, 63020, 18225, 133190, 7265, 26, 1211, 6093, 105235, 1211, 1751, 80453, 33809, 23405, 1470, 33809, 1211, 3523, 98071, 29659, 6, 71804, 23405, 6, 121865, 12483, 5, 6, 75230, 98071, 148346, 26612, 15435, 123736, 148346, 6093, 7369, 7508, 54260, 16803, 7243, 2808, 98071, 148346, 6093, 4, 6, 148346, 1644, 54260, 148346, 2882, 7369, 6, 148346, 54260, 4151, 7508, 54260, 506, 1470, 33809, 1211, 4151, 895, 2882, 16803, 7508, 15, 6093, 3131, 16932, 16, 7508, 33809, 23741, 6, 238144, 104238, 2808, 75230, 2702, 5, 95455, 6235, 506, 2882, 3069, 31467, 36324, 75230, 6, 71804, 23405, 6, 148346, 98071, 4852, 230764, 1470, 54260, 1211, 22753, 2882, 6, 148346, 7972, 148346, 2882, 6, 148346, 1644, 75230, 4852, 4151, 895, 2882, 82576, 874, 98071, 2882, 2205, 137, 148346, 26612, 4944, 244640, 29766, 15, 165592, 75230, 364, 54260, 2702, 12483, 1285, 49597, 4231, 33809, 23405, 44779, 194, 3069, 31467, 2050, 158628, 364, 186955, 7746, 35189, 895, 2882, 82576, 42572, 119273, 6, 148346, 54260, 4151, 364, 48904, 2442, 874, 98071, 2882, 26, 1211, 137, 148346, 26612, 4944, 29766, 155, 2200, 7369, 22444, 16803, 1470, 75230, 2702, 4, 2808, 33809, 1211, 220224, 1211, 6235, 2932, 59461, 7213, 20911, 3069, 31467, 1470, 98071, 56417, 4, 1470, 33809, 1211, 36324, 18225, 364, 129071, 1470, 98071, 506, 2702, 1470, 98071, 148346, 6093, 4, 23050, 506, 63532, 51723, 1470, 98071, 56417, 3069, 31467, 21776, 2050, 141879, 1211, 137, 148346, 26612, 4944, 29766, 155, 1470, 33809, 1211, 7369, 6, 21106, 54260, 1211, 6235, 506, 2882, 6428, 33809, 81455, 4838, 6, 148346, 2442, 183512, 5, 21106, 4113, 48706, 109316, 1211, 7746, 1470, 75230, 2702, 1470, 5, 9424, 119718, 710, 6, 65606, 12483, 5, 6, 113889, 35596, 22639, 4113, 6, 48904, 22426, 39340, 8903, 1211, 4151, 48904, 20315, 6093, 2205, 4151, 895, 2882, 82576, 657, 75230, 159212, 4838, 37729, 6, 51220, 1054, 76632, 49597, 2932, 80885, 1211, 2205, 874, 39083, 364, 98071, 1211, 95766, 6, 138194, 7682, 15, 75322, 39083, 105884, 2882, 18225, 9934, 98071, 4667, 40026, 506, 6093, 1470, 75230, 2050, 230764, 14856, 46244, 6093, 874, 39083, 16, 2200, 874, 26, 2808, 98071, 74004, 30682, 33469, 244640, 148346, 2648, 874, 98071, 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 ]

[ 19302, 46598, 42572, 8580, 112216, 2702, 13159, 4, 6235, 101296, 4944, 244640, 2882, 8300, 10339, 39083, 4484, 13159, 15, 152440, 109636, 1211, 41764, 33809, 1211, 6, 113889, 4852, 5, 2882, 98071, 4944, 244640, 44779, 247, 117902, 28726, 2050, 37016, 12483, 10339, 33809, 1211, 1285, 6319, 71577, 29060, 13159, 1470, 5, 6428, 5, 4269, 5, 148346, 36326, 609, 26, 1211, 657, 75230, 36909, 12483, 6, 205416, 18225, 1470, 98071, 56417, 3523, 98071, 29659, 18583, 506, 21106, 96986, 5, 132, 2442, 23173, 36326, 5, 16, 108035, 119718, 23173, 710, 84577, 5, 2808, 98071, 1211, 21374, 49268, 84475, 1470, 98071, 1211, 6, 112353, 5, 13159, 43649, 109316, 1211, 7746, 5950, 21292, 6, 54260, 23405, 44779, 1470, 98071, 1211, 9424, 119718, 710, 7508, 9221, 12483, 22639, 4113, 6, 84577, 39340, 8903, 1211, 2442, 6093, 221895, 2442, 4, 1054, 54260, 2882, 120202, 59461, 33809, 20911, 4, 2205, 6, 123073, 7508, 54260, 506, 364, 186955, 9934, 98071, 4667, 42572, 119273, 6, 148346, 710, 1285, 49597, 364, 141943, 92500, 6, 148346, 448, 193042, 51723, 6, 37016, 3120, 148932, 220224, 2882, 7508, 54260, 506, 43649, 20616, 2882, 4838, 21374, 49268, 5, 15231, 2882, 2205, 21374, 49268, 6, 23173, 32097, 1470, 75230, 2702, 6, 68380, 9424, 238144, 96986, 12, 2451, 21374, 49268, 4, 21374, 46244, 4, 6255, 1751, 98071, 4484, 1285, 49597, 2442, 364, 15350, 38, 95766, 7369, 7213, 20911, 6, 23173, 75230, 2702, 1470, 54260, 119132, 1470, 98071, 148346, 6093, 72631, 54260, 2702, 12483, 1285, 49597, 7508, 54260, 4113, 5, 6, 148346, 710, 54745, 2882, 163139, 49597, 4113, 220440, 96986, 7369, 7508, 34533, 9213, 148346, 6093, 4, 36324, 75230, 42572, 98071, 1644, 23050, 506, 36258, 7369, 3069, 31467, 3120, 4151, 21776, 506, 6, 23173, 75230, 2702, 3069, 31467, 109995, 21374, 49268, 15, 10069, 9424, 29771, 54574, 21776, 1982, 35596, 9934, 98071, 4667, 43649, 186797, 132025, 8903, 506, 75230, 148346, 12483, 42572, 33809, 1211, 4231, 65482, 2882, 6, 75230, 2882, 4, 119055, 14004, 13159, 43649, 20616, 2882, 4151, 21374, 49268, 4, 199145, 1751, 98071, 20911, 6, 23173, 75230, 2702, 194, 36324, 7369, 7508, 34533, 1470, 98071, 148346, 6093, 6, 148346, 710, 21776, 2050, 1644, 21660, 96986, 4, 23050, 506, 63532, 7369, 21422, 76961, 1470, 75230, 101608, 6428, 13159, 141879, 1211, 5, 874, 98071, 2882, 1470, 98071, 56417, 364, 186955, 9934, 98071, 4667, 6428, 47351, 35189, 9424, 238144, 16932, 21374, 49268, 6, 148346, 54260, 1285, 49597, 364, 141943, 2205, 36324, 6, 5, 12483, 7508, 34533, 1470, 98071, 506, 2702, 1470, 75230, 4667, 1470, 98071, 148346, 6093, 4, 37826, 6093, 18583, 150349, 710, 21295, 1285, 49597, 6, 112353, 5, 165592, 18225, 7213, 20911, 1470, 54260, 119132, 6, 23173, 75230, 2702, 1470, 33809, 1211, 7369, 42542, 3523, 98071, 29659, 1470, 98071, 148346, 6093, 2442, 54260, 2702, 12483, 4, 6, 148346, 7972, 148346, 16932, 6235, 36909, 26612, 183216, 6, 148346, 54260, 6, 17645, 119132, 21374, 49268, 2200, 4231, 114436, 7508, 33809, 159212, 1470, 75230, 2702, 1470, 33809, 1211, 1751, 98071, 20911, 6, 23173, 75230, 2702, 1470, 54260, 119132, 1470, 98071, 148346, 6093, 10918, 121865, 12483, 220224, 1211, 6235, 2932, 59461, 2702, 6, 170645, 5, 132, 153222, 24152, 59929, 5, 4, 6319, 98071, 4113, 119718, 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 ]

[ 104, 5, 18, 5, 109241, 36909, 29060, 1470, 33809, 1211, 6, 87311, 61397, 5, 51723, 67882, 40920, 24464, 4838, 4231, 4944, 13845, 4838, 137, 22426, 21106, 17645, 155, 15, 26612, 42572, 119273, 3069, 31467, 5666, 75230, 36909, 8903, 119718, 98071, 39340, 1644, 16803, 98071, 4944, 244640, 13845, 874, 98071, 2882, 4269, 90848, 148346, 12483, 4838, 144532, 8903, 13982, 20616, 96986, 1470, 33809, 1211, 6, 23173, 75230, 111137, 8300, 75230, 8903, 119132, 136645, 49597, 22426, 6, 156325, 1470, 75230, 148346, 12483, 16, 2205, 7508, 6093, 6, 23173, 75230, 2702, 8903, 240863, 114436, 3120, 6, 26394, 54574, 12483, 48706, 20616, 2882, 6, 68558, 4838, 220224, 2882, 1470, 33809, 1211, 6, 205416, 7511, 49597, 16803, 21374, 1644, 12483, 163139, 76961, 6, 148346, 26612, 506, 21106, 96986, 1285, 137, 22426, 21106, 39340, 5, 119055, 12483, 220224, 6, 225975, 12483, 12, 1751, 75230, 1211, 2004, 6235, 506, 16932, 9934, 98071, 8248, 31467, 4944, 12483, 1470, 33809, 1211, 220224, 160751, 12483, 1470, 30682, 9213, 1982, 16803, 448, 125523, 2205, 36324, 7369, 6319, 33809, 63532, 3069, 84475, 46464, 40920, 44917, 76216, 13497, 10339, 33809, 1211, 10676, 6, 99766, 119055, 10705, 7508, 12, 137, 204403, 1644, 39340, 657, 98071, 98833, 6, 148346, 26612, 506, 21106, 96986, 4, 22518, 54260, 12483, 76961, 12, 2451, 42572, 29060, 4, 42572, 29060, 5, 2808, 33809, 1211, 1470, 75230, 148346, 7369, 8248, 40920, 230764, 215031, 6, 99766, 4, 1054, 120467, 68313, 125523, 6, 36609, 42572, 33809, 12130, 6, 148346, 26612, 506, 186955, 65482, 2050, 4, 6, 225975, 12483, 220224, 12, 2451, 6, 87311, 61397, 4, 6, 87311, 59461, 5, 159696, 1211, 7369, 6235, 36909, 41595, 1285, 137, 7201, 21106, 39340, 2004, 241662, 9424, 13845, 75230, 55823, 1211, 9934, 98071, 4667, 76961, 1470, 33809, 1211, 119055, 29789, 51723, 7369, 6, 148346, 26612, 238144, 4852, 2882, 6, 148346, 21106, 2648, 9213, 2702, 26, 1211, 6, 64260, 21422, 6235, 148346, 12483, 187667, 1470, 98071, 46244, 4838, 19302, 71577, 4, 119055, 77188, 4231, 114436, 230764, 220224, 1211, 6, 99766, 4, 2205, 1285, 49597, 6, 222907, 6319, 33809, 63532, 6, 238144, 75578, 160238, 36324, 75230, 1054, 12, 40026, 49597, 506, 6093, 5, 132, 119718, 23173, 36419, 194, 116354, 4484, 186955, 1470, 33809, 1211, 119055, 23173, 2702, 5, 51723, 23050, 506, 63849, 7746, 1470, 75230, 2702, 4, 2200, 4151, 1470, 75230, 2702, 23269, 26394, 54574, 87309, 23050, 506, 33716, 4838, 78104, 4944, 244640, 13845, 1470, 33809, 1211, 148346, 26612, 506, 186955, 8947, 5, 6235, 506, 12483, 76961, 8248, 4944, 12483, 5, 159696, 1211, 18225, 8248, 31467, 4944, 244640, 2882, 230764, 6, 48904, 26, 99766, 4, 199145, 1470, 98071, 4852, 7508, 54260, 2882, 24464, 10676, 6, 148346, 26612, 506, 186955, 65482, 2050, 2702, 98071, 4944, 244640, 13845, 4, 6, 225975, 2882, 7508, 6093, 199145, 37826, 6, 148346, 26612, 506, 21106, 96986, 12, 2451, 3373, 26, 2808, 98071, 4852, 6319, 186955, 5, 115468, 186565, 14081, 17190, 506, 212915, 5666, 54260, 1470, 33809, 54561, 6, 63188, 12483, 10069, 114955, 159696, 1644, 36419, 12483, 18225, 8248, 47332, 230764, 4838, 7511, 99766, 4, 199145, 1470, 98071, 4852, 23050, 506, 13497, 6093, 73784, 6, 148346, 43590, 186955, 65482, 2050, 54260, 7511, 1644, 4, 6, 225975, 2882, 7369 ]

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

[ 12, 2451, 3373, 26, 95766, 1751, 75230, 1211, 657, 75230, 5, 165592, 18225, 6319, 54260, 2882, 21422, 125523, 23050, 506, 13497, 6093, 4, 6, 101328, 98833, 7369, 12, 2451, 6, 2050, 26, 68313, 1751, 75230, 1211, 6, 121865, 5, 165592, 18225, 107776, 3069, 31467, 220273, 44917, 76216, 13497, 4, 1751, 75230, 1211, 6, 148346, 54260, 21776, 2050, 6, 99766, 4, 71180, 2882, 7369, 5, 2451, 6, 2050, 26, 148346, 2442, 35596, 4, 3373, 26, 88660, 47332, 38, 92500, 4151, 199145, 6235, 36909, 41595, 2181, 4, 4151, 6235, 506, 2882, 2181, 6, 148346, 26612, 506, 21106, 96986, 5, 132, 1644, 142429, 4852, 5, 16, 125435, 95766, 6, 148346, 26612, 506, 13845, 18415, 7511, 49597, 3131, 5, 51723, 23050, 506, 21295, 9934, 98071, 4667, 1470, 75230, 2702, 4, 4151, 1054, 120467, 42572, 186955, 6, 23173, 75230, 2702, 4, 48706, 22426, 1644, 5666, 418, 9934, 98071, 4667, 4838, 159696, 4484, 2865, 98071, 2882, 26, 1211, 41764, 12130, 21422, 4838, 1054, 48904, 2442, 4, 199145, 1470, 98071, 4852, 6, 148346, 59929, 2882, 98071, 2882, 2882, 18583, 4838, 58573, 4113, 77518, 2205, 22639, 150839, 186955, 1470, 98071, 56417, 3069, 31467, 1285, 1470, 75230, 8903, 1211, 5, 46711, 21295, 39083, 364, 186955, 7369, 7746, 6, 186955, 1211, 3069, 31467, 1285, 49597, 1470, 75230, 8903, 1211, 5, 6, 148346, 14236, 25207, 2050, 8248, 31467, 4944, 244640, 12483, 9934, 98071, 4667, 76961, 7369, 16932, 4, 119055, 14004, 7746, 21422, 6, 148346, 26612, 506, 21106, 96986, 5, 874, 98071, 2882, 18583, 105235, 1644, 18415, 1470, 75230, 8903, 1211, 71180, 2882, 7369, 1470, 75230, 2702, 12, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 1751, 26, 2808, 98071, 4852, 1751, 75230, 1211, 22639, 36419, 5, 35596, 59919, 2882, 18225, 1470, 98071, 56417, 12, 2451, 125523, 3523, 98071, 29659, 9424, 54260, 2882, 5, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 3373, 26, 2808, 98071, 4852, 1751, 75230, 1211, 3069, 54260, 4113, 5, 2451, 125523, 7243, 21422, 2882, 5, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 3373, 26, 2808, 98071, 4852, 1751, 75230, 1211, 29434, 54260, 5, 2451, 125523, 3523, 98071, 16803, 42493, 5, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 3373, 26, 2808, 98071, 4852, 1751, 75230, 1211, 10184, 49597, 123073, 5, 2451, 125523, 3523, 98071, 29659, 21422, 2882, 5, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 3373, 26, 2808, 98071, 4852, 1751, 75230, 1211, 10184, 49597, 23269, 25603, 5, 2451, 125523, 3523, 98071, 29659, 21422, 2882, 5, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 3373, 26, 2808, 98071, 4852, 1751, 75230, 1211, 55242, 13805, 4113, 5, 2451, 125523, 3523, 98071, 29659, 9424, 54260, 2882, 5, 2451, 16175, 174121, 1644, 24295, 4, 16175, 40096, 109316, 4, 3373, 26, 2808, 98071, 4852, 1751, 75230, 1211, 22753, 148346, 65482, 5, 2451, 125523, 3523, 98071, 29659, 9424, 54260, 2882, 5, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 3373, 26, 2808, 98071, 4852, 1751, 75230, 1211, 4838, 4944, 18415, 5, 2451, 125523, 3523, 29659, 21422, 2882, 5, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 3373, 26, 68313, 1751, 75230, 1211, 3523, 71512 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2451, 125523, 7243, 21422, 2882, 5, 2451, 16175, 40096, 109316, 4, 16175, 40096, 109316, 4, 3373, 26, 2808, 98071, 4852, 1751, 75230, 1211, 6, 26394, 42023, 5, 2451, 6235, 506, 76961, 6319, 98071, 50856, 6093, 44779, 55242, 42023, 5, 20315, 87311, 21295, 151614, 148346, 12483, 7746, 76961, 1751, 75230, 1211, 6, 148346, 26612, 506, 21106, 96986, 2205, 7369, 6, 212484, 2882, 9934, 98071, 4667, 4838, 159696, 4484, 30473, 8248, 31467, 4944, 244640, 12483, 5, 6, 159696, 51723, 7369, 6235, 36909, 98071, 13497, 84475, 6, 159696, 51723, 7369, 4151, 39293, 506, 2882, 1470, 33809, 1211, 7369, 4269, 98071, 2882, 1470, 98071, 56417, 21733, 71577, 84475, 4838, 7508, 98071, 46244, 6, 68558, 11265, 6093, 4231, 114436, 6, 148346, 26612, 506, 15533, 2702, 3069, 31467, 3069, 1644, 75230, 36909, 12483, 3069, 31467, 7508, 6093, 58573, 4113, 4, 874, 33809, 4852, 4231, 114436, 7746, 4838, 905, 37016, 105235, 1644, 12483, 6, 148346, 54260, 4151, 119055, 183512, 230764, 220224, 1211, 6, 99766, 1470, 33809, 1211, 95455, 3131, 22426, 15350, 364, 75230, 148346, 2882, 7746, 163139, 49597, 35189, 6, 68558, 5, 132, 119718, 23173, 36326, 5, 16, 77518, 657, 40096, 54260, 207591, 12, 333, 1883, 101655, 2808, 98071, 1211, 6, 100863, 98071, 5666, 26394, 44779, 5, 51723, 9424, 20616, 21295, 9934, 98071, 4667, 1470, 75230, 2702, 1470, 33809, 1211, 4151, 184639, 84475, 7508, 6093, 141879, 2442, 4, 199145, 36909, 186955, 6, 23173, 75230, 2702, 4, 6235, 506, 2882, 6, 148346, 54260, 57619, 12483, 4, 6428, 5, 364, 5, 7369, 6, 105235, 21295, 9934, 98071, 4667, 874, 98071, 2882, 26, 1211, 41764, 12130, 3069, 31467, 4838, 119055, 183512, 2451, 2648, 120467, 6, 99766, 6, 148346, 54260, 4151, 119055, 183512, 119055, 77188, 1470, 75230, 4667, 6, 148346, 48904, 33809, 56169, 56170, 4838, 58573, 4113, 2451, 95766, 7369, 364, 186955, 4852, 15435, 874, 98071, 2882, 7508, 98071, 364, 141943, 21422, 6428, 12, 1470, 75230, 65442, 1211, 5, 148346, 14236, 10676, 6, 148346, 26612, 506, 21106, 96986, 9934, 98071, 4667, 76961, 2200, 7508, 6093, 141879, 2442, 4269, 98071, 2882, 4838, 6235, 49268, 710, 12, 2451, 1751, 75230, 1211, 38, 8903, 506, 2882, 7369, 220224, 8248, 31467, 4944, 244640, 12483, 2205, 6, 159696, 51723, 7369, 6235, 7916, 49597, 13497, 4, 22444, 159212, 7369, 1470, 98071, 56417, 6, 68558, 6, 148346, 448, 113889, 51723, 15, 107829, 230764, 42355, 6, 99766, 170479, 6, 207591, 2702, 6, 23173, 75230, 35044, 75230, 36909, 12483, 6, 112452, 221895, 2442, 16, 2200, 22753, 148346, 54260, 20315, 657, 75230, 36909, 12483, 3069, 31467, 4151, 32887, 36419, 5, 1470, 75230, 1982, 4151, 199145, 1470, 98071, 4852, 6235, 14303, 64213, 6, 148346, 26612, 506, 21106, 96986, 6, 148346, 26612, 238144, 4852, 2882, 94626, 506, 6093, 3069, 31467, 8300, 33809, 1644, 75230, 36909, 12483, 3069, 31467, 4151, 14856, 36419, 2200, 3069, 31467, 6235, 148346, 12483, 1470, 98071, 1211, 4151, 119055, 183512, 6, 23173, 54260, 1211, 21733, 4113, 22426, 15, 109636, 48253, 16, 1470, 33809, 1211, 6, 225975, 12483, 4151, 148346, 710, 364, 75230, 4667, 12, 22639, 2702, 4, 6, 18250, 54260, 4, 29434, 54260, 15, 21106, 2702, 4838, 21422, 4944, 12483, 4, 165592, 7369, 1470, 98071, 4852, 73784, 7369, 29659, 3069, 8903 ]

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

[ 146873, 1211, 194, 37826, 7369, 8248, 4667, 1470, 75230, 2702, 195054, 54260, 4852, 2882, 6, 5, 36909, 2884, 3069, 31467, 6235, 42023, 148346, 1644, 98071, 16747, 12483, 5, 905, 12483, 4151, 1054, 120467, 37826, 6235, 148346, 1644, 98071, 7511, 2882, 37826, 123736, 148346, 6093, 6, 148346, 26612, 119718, 98071, 104149, 40026, 49597, 506, 6093, 3069, 31467, 3069, 31467, 104378, 4, 37826, 7746, 4231, 114436, 3523, 98071, 29659, 1470, 75230, 2702, 195054, 54260, 4852, 2882, 74, 123736, 148346, 6093, 7508, 6093, 1054, 120467, 37826, 6235, 148346, 1644, 98071, 57619, 2882, 8903, 506, 2882, 125523, 6, 238144, 16932, 8248, 31467, 1982, 12483, 5, 1470, 33809, 1211, 6, 113889, 13458, 46598, 163139, 49597, 7369, 37826, 7746, 1751, 75230, 1211, 874, 98071, 2882, 6, 63188, 12483, 6235, 5, 101328, 98833, 3069, 31467, 7508, 6093, 58573, 4113, 1470, 33809, 1211, 8947, 81444, 4838, 3373, 4667, 4, 199145, 151614, 148346, 12483, 9934, 98071, 4667, 3523, 98071, 16803, 1470, 75230, 2702, 195054, 15533, 2882, 4, 2808, 98071, 4852, 7508, 6093, 184639, 10339, 33809, 1211, 220224, 2451, 119718, 120467, 151614, 148346, 12483, 7746, 3523, 98071, 16803, 1470, 75230, 2702, 195054, 15533, 2882, 2451, 8903, 506, 2882, 6428, 47351, 148346, 1644, 98071, 57619, 12483, 5, 133190, 1470, 75230, 148346, 76961, 151614, 148346, 12483, 9934, 98071, 4667, 1470, 75230, 2702, 195054, 15533, 2882, 4, 6235, 506, 2882, 163139, 16932, 4151, 6, 128750, 98071, 506, 6093, 2442, 98071, 61397, 6, 148346, 1644, 98071, 57619, 12483, 5, 132, 1644, 142429, 1211, 5, 16, 3559, 16, 2808, 98071, 1211, 620, 4113, 109636, 148346, 26612, 148346, 4113, 661, 194, 8300, 33809, 2050, 7369, 29659, 23050, 506, 21295, 18225, 3069, 98071, 2702, 12483, 9934, 98071, 4667, 2205, 7508, 6093, 199145, 10339, 186955, 6, 23173, 75230, 2702, 4151, 1644, 21660, 16932, 4, 6, 148346, 98071, 50856, 2702, 18225, 1470, 98071, 56417, 15, 29771, 35189, 1470, 98071, 46244, 16, 3069, 31467, 1285, 49597, 1470, 75230, 8903, 1211, 1470, 33809, 1211, 76961, 43649, 109316, 1211, 4852, 98071, 4667, 6, 23173, 33809, 2050, 2205, 42572, 25207, 8903, 1211, 1470, 98071, 56417, 15, 29771, 35189, 1470, 98071, 46244, 2077, 2451, 6, 148346, 710, 148346, 109316, 4, 6, 148346, 710, 148346, 109316, 4, 25933, 33809, 6235, 506, 4, 2882, 33809, 32, 661, 710, 16, 84577, 2702, 77188, 7369, 15, 29771, 35189, 9934, 98071, 2077, 2451, 125523, 42572, 98071, 3131, 5, 2451, 6, 104149, 7508, 9221, 6, 48904, 98071, 35189, 1470, 33809, 1211, 41764, 98071, 3131, 4, 2451, 27702, 148346, 109316, 4, 6, 148346, 29771, 148346, 109316, 4, 25933, 33809, 6235, 506, 16803, 33809, 1211, 2451, 125523, 6, 162642, 5, 2451, 6, 155374, 1285, 49597, 4667, 6, 48904, 98071, 2442, 6093, 1470, 33809, 1211, 6, 30979, 5, 2451, 27702, 148346, 109316, 4, 6, 148346, 29771, 148346, 109316, 4, 119055, 2808, 33809, 6235, 506, 16803, 33809, 4852, 2451, 125523, 41764, 33809, 16932, 6319, 33809, 1982, 12483, 5, 2451, 6235, 506, 7508, 71512, 6319, 98071, 83182, 44779, 8248, 31467, 4944, 12483, 4, 2451, 27702, 148346, 109316, 4, 6, 148346, 29771, 148346, 109316, 4, 163139, 49597, 220440, 6319, 98071, 83182, 44779, 151614, 16803, 33809, 4852, 2451, 6, 26394, 42023, 4, 2451, 6235, 506, 76961, 114955, 44779, 55242 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12483, 5, 77518, 41764, 75230, 7972, 2702, 12, 106, 54260, 2882, 653, 660, 3198, 5, 2451, 14, 478, 771, 6, 148346, 29771, 148346, 4113, 5, 1470, 98071, 1211, 6, 186955, 88660, 16667, 2882, 84577, 98071, 1211, 132, 119718, 29771, 506, 79981, 16, 364, 54260, 16803, 6428, 5, 41764, 15350, 6, 5, 148346, 7972, 16747, 161829, 84475, 137, 148346, 1644, 98071, 50856, 4852, 161829, 155, 74, 1470, 98071, 1211, 6, 148346, 137218, 28726, 132, 18415, 10069, 5, 33960, 148346, 5, 16, 137, 87178, 148346, 17645, 5, 2648, 5666, 99611, 74, 2205, 4151, 29060, 80264, 15, 23847, 142429, 5, 4269, 33809, 148346, 5, 16, 137, 148346, 1644, 98071, 152848, 364, 114436, 74, 2205, 16175, 101608, 78683, 21087, 74484, 17645, 119718, 5, 33960, 148346, 5, 16, 2451, 37271, 163177, 62808, 39340, 2909, 41764, 75230, 7972, 2702, 12, 6, 4, 29315, 474, 206, 143628, 49597, 3131, 12, 132, 24244, 9719, 127583, 16, 2451, 2702, 23173, 48775, 4944, 244640, 12984, 4, 9934, 2702, 53521, 12483, 15, 2648, 98071, 1470, 75230, 8903, 1211, 3142, 1470, 98071, 1211, 6, 92867, 64260, 98071, 2050, 15, 148346, 13159, 6093, 26612, 148346, 5, 4269, 33809, 148346, 5, 16, 2451, 37271, 148346, 12666, 50856, 4852, 5927, 54260, 2882, 74, 2205, 3373, 29771, 4944, 244640, 40096, 36419, 119718, 15, 119718, 23173, 3131, 5, 4269, 33809, 148346, 5, 16, 137, 148346, 12666, 152848, 16580, 506, 74, 1470, 98071, 1211, 3373, 57277, 36326, 119718, 132, 90848, 2648, 5, 33960, 148346, 5, 16, 137, 148346, 1644, 98071, 152848, 115222, 15907, 2702, 2909, 710, 77518, 2205, 77014, 200117, 40096, 25207, 119718, 15, 119718, 23173, 2702, 5, 33960, 148346, 2077, 137, 148346, 1644, 98071, 16747, 37016, 33809, 506, 4, 1470, 5, 4838, 5, 119055, 5, 905, 23173, 710, 84577, 42572, 8580, 73095, 148346, 25207, 149311, 15, 4944, 34709, 2865, 5, 46050, 4852, 2077, 2451, 3373, 26, 88660, 50856, 6, 148346, 26612, 148346, 26612, 32, 2451, 132, 22426, 33809, 1211, 1470, 48904, 8580, 6, 148346, 29771, 148346, 4113, 32, 16, 2451, 9934, 26, 874, 137218, 2050, 57277, 2451, 25046, 33809, 1211, 4151, 16175, 2882, 99766, 16, 2451, 48494, 33809, 23050, 506, 16803, 33809, 32, 2451, 1470, 5, 36324, 5, 1054, 5, 136124, 101080, 31467, 14081, 17190, 506, 212915, 148346, 54260, 1470, 33809, 54561, 68173, 1211, 8580, 7369, 84475, 22753, 16, 364, 75230, 148346, 2882, 6, 68558, 6, 148346, 33809, 25093, 12483, 2205, 8300, 33809, 3373, 71577, 12483, 6, 159696, 51723, 1644, 75230, 55823, 1211, 5, 5332, 88280, 2442, 10676, 3069, 109636, 1211, 76961, 10676, 18583, 148346, 98071, 16747, 65482, 5, 1470, 33809, 1211, 7508, 54260, 2702, 12483, 1470, 98071, 56417, 2205, 54260, 5666, 8947, 119055, 77188, 6235, 4944, 244640, 71577, 2882, 4, 10676, 6, 148346, 98071, 16747, 2882, 18225, 3069, 31467, 1285, 49597, 1470, 75230, 8903, 1211, 119718, 98071, 35189, 207748, 163139, 49597, 6, 148346, 54260, 2050, 7369, 16803, 64213, 5, 119718, 23173, 36326, 194, 2808, 34479, 4, 119718, 23173, 710, 84577, 5, 2808, 98071, 1211, 9934, 101080, 31467, 2442, 39340, 5, 2451, 1470, 75230, 199145, 43649, 20616, 21087, 33809, 32, 2451, 230764, 4838, 10339, 59929, 5, 2451, 199145, 81414, 49597, 20260, 16803, 33809, 32, 6, 5, 2451, 4838 ]

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

[ 34076, 48350, 109316, 17806, 59929, 5, 2451, 75903, 24621, 26, 2050, 185182, 25207, 44478, 6, 61397, 12483, 6, 23173, 33809, 2050, 2451, 874, 71512, 5, 2451, 36324, 7508, 33809, 1054, 119273, 22753, 6319, 75230, 1644, 12483, 4, 119055, 119273, 33809, 874, 98071, 2442, 1470, 75230, 4667, 6235, 148346, 12483, 32, 2451, 4838, 30654, 506, 5, 2451, 6, 97634, 27702, 2050, 1054, 36326, 874, 98071, 4667, 6, 57277, 39340, 5, 132, 153222, 24152, 59929, 98071, 4, 6319, 98071, 4113, 119718, 5, 33960, 148346, 5, 16, 35046, 16, 2808, 98071, 1211, 6, 148346, 26612, 148346, 98071, 10918, 5, 23173, 448, 114955, 23050, 506, 51723, 9934, 98071, 4667, 3069, 31467, 5666, 75230, 6293, 2205, 64890, 200117, 26, 1211, 6, 26394, 54574, 12483, 6235, 506, 2882, 6, 123844, 42572, 8580, 9934, 22426, 2808, 75230, 6293, 29434, 26, 6093, 2648, 5, 128750, 4113, 8903, 1211, 8947, 1285, 49597, 6319, 98071, 83182, 12, 2451, 27702, 1982, 98071, 10918, 49597, 4, 6, 148346, 26612, 1982, 98071, 10918, 49597, 4, 95455, 65902, 148346, 2882, 1470, 98071, 46244, 32, 35596, 59919, 2882, 8947, 12, 2451, 1751, 109636, 152848, 44779, 5, 22680, 4113, 8903, 1211, 22753, 12, 2451, 230764, 1054, 120467, 6428, 23173, 23741, 1470, 98071, 46244, 1751, 109636, 152848, 44779, 32, 4113, 98833, 36909, 77188, 2181, 12, 2451, 3069, 31467, 6, 147713, 12483, 4838, 10339, 54260, 6093, 98071, 1644, 5, 128750, 4113, 8903, 1211, 1054, 54260, 12, 2451, 230764, 48494, 203232, 6428, 23173, 23741, 1470, 98071, 46244, 4838, 10184, 6093, 98071, 67873, 35596, 59919, 2882, 8947, 12, 2451, 230764, 9934, 98071, 26394, 1211, 6, 48904, 26, 29771, 25616, 33809, 61541, 5, 128750, 4113, 8903, 1211, 220224, 12, 2451, 230764, 1054, 120467, 6428, 23173, 159212, 1470, 98071, 46244, 6, 48904, 26, 29771, 25616, 33809, 148346, 13845, 32, 35596, 36909, 77188, 2181, 12, 2451, 1470, 75230, 2702, 8300, 33809, 148346, 90848, 96986, 1285, 49597, 9213, 8903, 44779, 5, 26394, 1644, 75230, 36909, 12483, 8248, 4667, 1285, 49597, 6319, 98071, 83182, 5, 132, 2882, 101608, 78683, 21087, 4, 6319, 98071, 4113, 119718, 5, 33960, 148346, 5, 194, 50258, 29659, 54260, 59461, 1470, 33809, 1211, 6, 148346, 54260, 59461, 5, 16580, 83182, 67882, 93509, 98071, 25207, 1211, 3069, 235210, 12483, 2205, 112216, 153222, 1211, 9934, 98071, 4667, 183216, 874, 98071, 2882, 172033, 12, 1470, 98071, 1211, 1285, 49597, 6, 148346, 16011, 44779, 2200, 29659, 127684, 21733, 109226, 1470, 98071, 1211, 6, 148346, 75230, 4667, 4, 2702, 5, 16580, 16747, 1054, 29060, 151614, 148346, 12483, 4269, 33809, 18415, 6, 90848, 4667, 4, 26, 4113, 62808, 8947, 12483, 4838, 4269, 98071, 50853, 65482, 4231, 75230, 4667, 5, 661, 51421, 4113, 148346, 25207, 506, 8580, 4, 10213, 52480, 5, 46050, 144754, 10676, 88911, 13845, 119055, 6093, 12483, 1470, 75230, 4667, 104038, 26, 44779, 5, 7508, 186797, 2882, 56170, 16629, 2648, 65482, 192544, 63620, 16, 148346, 23173, 8903, 28726, 4, 204982, 65307, 5, 148346, 21106, 2648, 163139, 49597, 18225, 6, 186797, 2882, 48494, 203232, 710, 36909, 28726, 119132, 47833, 3523, 76961, 8300, 3373, 136108, 5, 1211, 1982, 48340, 34709, 2442, 72577, 65307, 27, 568, 31, 5, 10954, 6, 5, 26217, 2882, 53082, 6, 5, 6235, 46601, 2451, 6, 148346 ]

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

[ 23173, 23269, 28726, 4, 4269, 33809, 2882, 65307, 4, 2451, 6, 148346, 23173, 8903, 28726, 4, 72577, 1751, 148346, 609, 5, 10918, 21295, 7369, 7746, 2205, 6, 101328, 98833, 7746, 230764, 22753, 6, 159696, 12483, 65606, 2442, 6, 68558, 2205, 119055, 905, 148346, 14303, 3069, 31467, 6235, 148346, 12483, 4838, 19302, 71577, 84475, 4838, 8903, 28726, 37189, 7369, 6, 148346, 23173, 54260, 4852, 2882, 95455, 3069, 31467, 6, 80264, 4, 874, 33809, 4852, 4231, 114436, 220224, 1211, 7508, 6093, 6, 5, 148346, 3131, 148346, 609, 155, 2205, 6, 101328, 8903, 1211, 5, 13159, 3056, 1470, 75230, 4667, 1470, 54260, 23405, 73381, 98071, 506, 33716, 21422, 6235, 148346, 12483, 29434, 54260, 19302, 4113, 111137, 1211, 12, 137, 2808, 54260, 16667, 4, 9424, 238144, 4, 29434, 54260, 5, 6, 17645, 54260, 21422, 6, 1211, 26612, 165592, 21776, 29025, 33809, 1470, 98071, 4852, 18583, 506, 47351, 4838, 7265, 13845, 163139, 49597, 7746, 3069, 31467, 18583, 506, 98071, 96986, 12, 119055, 12483, 3131, 75230, 1211, 4231, 114436, 4838, 55242, 7611, 6, 48904, 98071, 35189, 364, 21106, 148346, 48706, 20616, 186797, 4, 6, 205416, 7511, 16803, 6235, 148346, 12483, 6, 112452, 19302, 71577, 5, 132, 119718, 23173, 36326, 194, 66947, 16, 2882, 40096, 109316, 41764, 98071, 218241, 5, 113889, 92867, 26, 1211, 6, 26394, 54574, 12483, 4, 1470, 98071, 4852, 4151, 141879, 2442, 7508, 6093, 16175, 174121, 2200, 76961, 1054, 135118, 710, 83182, 5, 220224, 23269, 225975, 2882, 7369, 3069, 31467, 1285, 12, 2451, 9721, 141847, 1982, 2050, 6, 49268, 8947, 12483, 5, 1644, 75230, 36909, 12483, 220224, 4838, 905, 37016, 2205, 6, 104378, 506, 48904, 2442, 98252, 2205, 33960, 148346, 12483, 6, 98071, 56417, 6, 98071, 1211, 23173, 8580, 874, 148346, 9183, 18553, 29659, 8947, 12483, 2205, 7369, 6, 119273, 15, 101296, 4944, 244640, 2882, 8248, 4667, 8947, 12483, 194, 128750, 4113, 8903, 1211, 220224, 1470, 98071, 56417, 12, 2451, 6, 26, 119273, 1470, 33809, 54561, 1470, 98071, 148346, 6093, 1644, 127827, 12483, 32, 905, 29771, 13497, 7369, 12, 2451, 6, 101328, 4, 6235, 506, 125830, 6, 222907, 12483, 5, 23269, 506, 12483, 220224, 4838, 9183, 12483, 7746, 46440, 12483, 2205, 148346, 21106, 2648, 3069, 31467, 2442, 98071, 4484, 2205, 42572, 25207, 8903, 1211, 1470, 98071, 506, 1982, 12, 2451, 151614, 16803, 1470, 33809, 54561, 1470, 98071, 148346, 6093, 195054, 165592, 2882, 32, 29771, 98833, 7369, 12, 2451, 6, 49008, 4, 564, 26, 85465, 200117, 51605, 164863, 16667, 12483, 4, 2451, 13458, 141847, 15231, 2808, 98071, 56417, 21422, 46711, 54260, 12483, 9213, 2702, 12, 2451, 6, 26, 119273, 26784, 1470, 98071, 75578, 1644, 127827, 12483, 32, 29771, 98833, 7369, 12, 2451, 6, 101328, 4, 6235, 506, 2882, 2050, 4838, 159696, 4484, 6, 222907, 12483, 5, 506, 12483, 220224, 4838, 159696, 4484, 8248, 4667, 145813, 54260, 12483, 1470, 33809, 1211, 6, 104378, 2442, 6, 98071, 4484, 1470, 33809, 1211, 42572, 4113, 2451, 151614, 16803, 1470, 33809, 54561, 19532, 75578, 151227, 127827, 28320, 6093, 12, 2451, 6, 49008, 4, 564, 26, 85465, 200117, 10339, 48904, 13159, 12483, 5, 125158, 101080, 31467, 14081, 17190, 506, 212915, 148346, 54260, 22639, 1211, 6, 54260, 25207, 1211, 10069, 114955, 25603, 21295, 25391 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12483, 220224, 230764, 1470, 30682, 12, 2882, 26632, 109316, 10184, 34882, 36635, 5, 2451, 5, 31, 3584, 5, 24152, 292, 10184, 15200, 6, 5, 4838, 29259, 20632, 2808, 2451, 16175, 40096, 109316, 41764, 710, 218241, 4, 2451, 16175, 40096, 109316, 41764, 710, 218241, 5, 101328, 98833, 7369, 22753, 2205, 22753, 22518, 54260, 12483, 2200, 6, 159696, 51723, 7369, 6, 71804, 47332, 4, 1751, 203749, 2882, 7369, 2205, 2442, 54260, 16803, 1285, 1470, 75230, 6093, 12483, 2200, 4151, 119055, 77188, 16175, 174121, 5, 148346, 14236, 26, 1211, 6, 101328, 8903, 1211, 4, 6, 148346, 75322, 98071, 506, 2882, 9934, 98071, 4667, 148932, 21422, 21422, 8903, 42023, 199145, 23050, 506, 13497, 6093, 3069, 1470, 98071, 56417, 95766, 3523, 33809, 71180, 12483, 5, 132, 119718, 23173, 36326, 194, 46659, 16, 2808, 98071, 1211, 10339, 48904, 98071, 5, 16580, 83182, 23050, 506, 51723, 7746, 3069, 31467, 5666, 75230, 6293, 2205, 6235, 54574, 12483, 1470, 75230, 2702, 3069, 6093, 29659, 3120, 9934, 98071, 4667, 1470, 54260, 119132, 4, 6, 113889, 4944, 244640, 20315, 2050, 6, 105235, 21295, 18225, 7746, 1470, 75230, 2702, 1470, 98071, 1211, 6, 65606, 657, 75230, 2882, 26, 1211, 119055, 185758, 2050, 42572, 33809, 1211, 19302, 172398, 96986, 132, 7511, 49597, 13982, 98071, 2932, 80885, 1211, 16, 6, 68558, 5, 94741, 1211, 6235, 506, 2882, 4151, 1470, 75230, 2702, 23269, 26394, 54574, 16932, 3523, 33809, 3069, 31467, 2050, 17824, 13159, 96986, 15, 506, 4113, 1982, 80885, 1211, 16, 1470, 33809, 1211, 128750, 4113, 98833, 1470, 30682, 12, 2451, 48494, 203232, 1470, 98071, 4852, 7508, 98071, 10339, 48904, 98071, 32, 35596, 59919, 2882, 7369, 12, 2451, 6, 129891, 5, 8903, 506, 2702, 7369, 3069, 31467, 2050, 9424, 238144, 96986, 125523, 1470, 98071, 111398, 1470, 33809, 1211, 129165, 98833, 1470, 98071, 506, 18406, 2451, 48494, 203232, 1470, 98071, 4852, 1285, 49597, 112216, 7511, 49597, 32, 35596, 36909, 77188, 4231, 114436, 1470, 75230, 4667, 12, 2451, 3523, 54260, 1211, 5, 165592, 75230, 6235, 506, 2882, 21422, 6, 148346, 15533, 26, 1211, 141879, 1211, 4, 10676, 19302, 172398, 96986, 5, 4151, 141879, 2442, 6, 35596, 36909, 77188, 12, 2451, 6, 101328, 5, 20315, 87311, 21295, 23050, 506, 63532, 7369, 1470, 98071, 56417, 1470, 33809, 13497, 53414, 6, 29766, 46598, 1470, 33809, 1211, 42572, 98071, 506, 33716, 1470, 98071, 56417, 120202, 4838, 117902, 33716, 166198, 2200, 21374, 20911, 1470, 98071, 56417, 2200, 1285, 49597, 1470, 54260, 8903, 44779, 6, 23173, 54260, 1211, 2205, 6, 225975, 2882, 874, 98071, 2882, 4838, 6, 71804, 4944, 244640, 4113, 196332, 2865, 98071, 23269, 12, 2451, 10184, 49597, 506, 33716, 18225, 1285, 49597, 110573, 10125, 1470, 98071, 1211, 1751, 33809, 54574, 6, 23173, 8580, 4, 2451, 10184, 49597, 506, 33716, 18225, 1285, 49597, 2376, 506, 2200, 1751, 33809, 54574, 6, 23173, 8580, 5, 165592, 75230, 8947, 7972, 92867, 4113, 874, 39083, 5, 2451, 2808, 5, 4852, 7369, 6, 71804, 40920, 7243, 4, 1470, 98071, 4852, 7369, 4838, 67826, 49597, 4484, 4269, 39083, 127731, 33809, 1211, 1470, 75230, 148346, 2451, 101328, 4, 3056, 7369, 4838, 1751, 46545, 29434, 5, 5, 6, 113889, 4944, 244640, 20315, 2050, 1751, 36419, 21295, 7369, 1470, 98071, 56417, 1751 ]

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

[ 75230, 1211, 4838, 159696, 88660, 1211, 4838, 220224, 2882, 1470, 33809, 1211, 6235, 506, 2882, 1054, 54260, 16932, 21422, 73784, 17824, 13159, 96986, 1470, 33809, 1211, 129165, 98833, 1470, 98071, 56417, 12, 2451, 48494, 203232, 1470, 98071, 4852, 1285, 49597, 112216, 7511, 49597, 32, 2451, 6, 49008, 5, 165592, 75230, 163139, 49597, 35189, 6, 148346, 15533, 10676, 141879, 1211, 5, 4151, 141879, 2442, 6, 35596, 36909, 77188, 5, 2451, 6, 101328, 5, 2808, 33809, 1211, 7369, 23050, 506, 63532, 1470, 30682, 1470, 75230, 4667, 1470, 33809, 13497, 53414, 6, 29766, 46598, 2205, 42572, 98071, 506, 33716, 1470, 30682, 6, 71577, 99766, 2442, 98071, 2882, 2200, 6, 225975, 2882, 21422, 1470, 98071, 56417, 36324, 75230, 163139, 49597, 73784, 200795, 1211, 5, 6, 113889, 13458, 46598, 6, 105235, 21295, 7369, 1470, 98071, 56417, 26612, 159696, 4484, 23050, 148346, 12483, 54745, 2882, 7369, 2648, 96986, 2200, 6235, 506, 2882, 163139, 101608, 3069, 31467, 73784, 17824, 13159, 96986, 5, 36324, 75230, 6, 148346, 92904, 148346, 4852, 8947, 6, 148346, 1644, 54260, 47332, 1470, 98071, 148346, 6093, 6, 148346, 1644, 75230, 4852, 4151, 17824, 13159, 16932, 5, 23050, 506, 63532, 4151, 17824, 13159, 16932, 3069, 31467, 5666, 75230, 6293, 21106, 4113, 114955, 1470, 33809, 1211, 6, 148346, 26612, 506, 186955, 220224, 364, 41595, 6093, 9934, 98071, 4667, 4, 6319, 33809, 63532, 3069, 31467, 1470, 98071, 56417, 3069, 31467, 4151, 42572, 98071, 46244, 6093, 92500, 129165, 98833, 4838, 30682, 12, 2451, 151614, 16803, 3523, 98071, 37460, 6235, 39293, 506, 12483, 874, 54260, 23269, 6235, 54561, 1211, 35596, 59919, 2882, 7369, 12, 2451, 1470, 75230, 7201, 26, 1211, 6, 68566, 119132, 6, 148346, 23173, 2932, 5, 13982, 20616, 2882, 7746, 4151, 42572, 98071, 46244, 6093, 1470, 75230, 2702, 2200, 22518, 54260, 2882, 12, 2451, 364, 33809, 2702, 5, 4, 12065, 21087, 4, 81444, 7508, 64260, 33809, 8068, 2808, 33809, 1211, 7369, 29434, 20616, 2882, 7746, 6, 148346, 21106, 2648, 6, 9221, 98071, 4484, 1470, 75230, 2702, 73784, 17824, 13159, 96986, 2200, 6, 225975, 2882, 12, 2451, 4231, 57277, 5, 225975, 2882, 4151, 17824, 13159, 16932, 3069, 31467, 1470, 30682, 12, 2451, 1470, 75230, 7201, 26, 1211, 6, 148346, 17410, 76216, 12483, 6, 148346, 23173, 2932, 5, 13982, 20616, 2882, 7369, 7746, 6, 113889, 4944, 244640, 26612, 5, 39083, 1470, 75230, 2702, 1470, 33809, 1211, 71180, 2882, 4852, 2451, 364, 33809, 2050, 98071, 4, 364, 33809, 2702, 98071, 4, 81444, 81444, 2865, 33809, 38, 92500, 29434, 20616, 2882, 7746, 6, 148346, 21106, 2648, 72308, 98071, 4484, 1470, 33809, 1211, 6, 225975, 2882, 12, 2451, 3523, 98071, 97634, 5, 165592, 75230, 119055, 77188, 1470, 75230, 2702, 8903, 25207, 4944, 35596, 18583, 16629, 2648, 65482, 6319, 39083, 98071, 25207, 1211, 6, 148346, 6093, 2932, 5, 4151, 113889, 4667, 119055, 141943, 2882, 4852, 98071, 4667, 4151, 10184, 49597, 46244, 6093, 3069, 31467, 2050, 895, 125830, 96986, 7265, 4838, 6, 148346, 92983, 12, 2451, 6, 148346, 29766, 2932, 874, 98071, 2442, 4838, 6, 148346, 166198, 109316, 38, 35596, 59919, 2882, 7369, 12, 2451, 564, 26, 506, 29771, 148346, 125523, 6, 112452, 14856, 54574, 7243, 6235, 4484, 75230, 159212, 5, 13982, 20616, 2882, 7369, 7746 ]

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

[ 1470, 75230, 2702, 1470, 33809, 1211, 6235, 506, 2882, 123736, 7201, 4838, 6, 148346, 29766, 81414, 2882, 1470, 33809, 1211, 107776, 3069, 31467, 2442, 98071, 46985, 8580, 6, 225975, 2882, 163139, 49597, 35189, 12, 2451, 6, 148346, 29766, 2932, 874, 98071, 2442, 4838, 564, 166198, 109316, 38, 35596, 2702, 77188, 7369, 12, 2451, 3496, 26, 85465, 200117, 125523, 3523, 98071, 29659, 6235, 90848, 29659, 3131, 71512, 2882, 15, 36909, 2884, 41764, 75230, 1644, 98071, 3131, 12483, 4, 5, 568, 5922, 23150, 18, 694, 238, 8903, 506, 2882, 7369, 6, 113889, 4944, 75322, 39083, 4838, 159696, 4484, 2200, 107776, 72308, 98071, 4484, 2205, 6, 225975, 2882, 12, 2451, 6, 148346, 29766, 2932, 874, 98071, 2442, 4838, 564, 166198, 109316, 38, 35596, 59919, 2882, 7369, 12, 2451, 564, 26, 85465, 200117, 125523, 42493, 1470, 75230, 2050, 8903, 4484, 113889, 96986, 5, 8903, 506, 2882, 7369, 163139, 49597, 35189, 4838, 159696, 4484, 1470, 33809, 1211, 6319, 33809, 63532, 3069, 31467, 2442, 98071, 4484, 2205, 6, 225975, 2882, 5, 2451, 6, 148346, 29766, 2932, 874, 98071, 2442, 4838, 6, 148346, 166198, 109316, 38, 35596, 36909, 6093, 7369, 12, 2451, 6, 92867, 26, 506, 29771, 148346, 125523, 42493, 1470, 75230, 2702, 8903, 101296, 92867, 2882, 5, 8903, 506, 2882, 7369, 6, 75230, 16932, 2190, 12483, 2205, 6319, 75230, 2050, 72308, 98071, 4484, 1470, 33809, 1211, 6, 225975, 2882, 12, 2451, 6, 148346, 29766, 2932, 874, 98071, 2442, 4838, 6, 148346, 166198, 109316, 38, 35596, 59919, 2882, 7369, 12, 2451, 3373, 26, 2808, 98071, 4852, 125523, 42493, 132025, 8903, 148346, 92605, 12483, 5, 8903, 506, 2882, 7369, 163139, 49597, 35189, 4838, 159696, 4484, 1470, 33809, 1211, 16580, 1982, 2702, 72308, 98071, 4484, 1470, 33809, 1211, 6, 225975, 2882, 5, 2451, 6, 148346, 29766, 2932, 874, 98071, 2442, 4838, 6, 148346, 166198, 109316, 38, 35596, 36909, 77188, 7369, 12, 2451, 6235, 506, 6, 23173, 54260, 1211, 2205, 6, 78683, 46685, 1470, 33809, 1211, 23050, 56417, 7508, 98071, 2442, 5, 165592, 75230, 119055, 609, 98071, 7369, 15857, 95455, 6, 225975, 12483, 4, 364, 54260, 148346, 12483, 76961, 114955, 6, 68558, 1285, 112216, 153222, 1211, 2865, 98071, 2882, 1285, 49597, 364, 141943, 2200, 3069, 6319, 76776, 165354, 7265, 1285, 49597, 9424, 98071, 23405, 6093, 5, 22680, 4113, 98833, 9934, 98071, 4667, 4151, 10184, 49597, 46244, 6093, 12, 2451, 119055, 448, 1470, 98071, 1211, 48494, 203232, 6, 148346, 710, 7508, 98071, 2442, 32, 35596, 36909, 77188, 7369, 12, 2451, 6, 2050, 26, 5, 21106, 12483, 3523, 98071, 36419, 44779, 10339, 33809, 1211, 6, 148346, 75230, 25207, 2050, 5, 8903, 506, 2882, 7369, 6, 23173, 33809, 13497, 6093, 364, 41595, 6093, 1470, 98071, 56417, 55242, 506, 12483, 4, 6, 148346, 26612, 36909, 21106, 12483, 1470, 98071, 56417, 1285, 49597, 114955, 92500, 6, 148346, 98071, 1644, 12483, 230764, 1470, 98071, 56417, 5, 132, 153222, 24152, 59929, 12, 4, 6319, 98071, 4113, 119718, 5, 33960, 148346, 5, 194, 16, 2190, 4484, 48775, 14004, 7511, 49597, 2702, 12, 15, 87637, 21087, 4, 11211, 21087, 4, 81444, 81444, 2865, 33809, 16, 2451, 23269, 5666, 12, 4, 6235, 54561, 4, 4838, 364, 54260, 5, 54100, 16, 506, 23173 ]

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

[ 3131, 13845, 4, 6, 145146, 4, 41764, 75230, 6093, 5, 13159, 145813, 98071, 1644, 12483, 42572, 98071, 6093, 6, 54260, 23405, 44779, 2200, 220224, 6, 26394, 54574, 12483, 20632, 98071, 3131, 12483, 9934, 98071, 4667, 1470, 75230, 2702, 5, 4151, 6093, 3131, 16932, 4, 199145, 6235, 506, 2882, 6, 23173, 75230, 2702, 3120, 6, 26394, 54574, 12483, 4, 1470, 98071, 4852, 6, 145146, 74, 4151, 9424, 238144, 16932, 1470, 98071, 20116, 23173, 36326, 67873, 4151, 29434, 98071, 16932, 2451, 22426, 75230, 6093, 2205, 4151, 10184, 93497, 6093, 6, 148346, 1644, 54260, 148346, 2882, 4838, 119055, 23173, 36909, 6093, 1470, 33809, 1211, 76961, 7916, 49597, 6093, 67882, 4944, 12483, 7746, 137, 22426, 21106, 4484, 13159, 155, 2200, 43649, 109316, 1211, 7746, 4838, 159696, 4484, 23050, 148346, 12483, 4838, 17824, 98071, 148346, 13845, 1470, 33809, 1211, 4151, 119718, 23173, 36909, 6093, 23050, 506, 63532, 29434, 54260, 43649, 54260, 16747, 44779, 2205, 119055, 23173, 159212, 1470, 98071, 1211, 6, 68566, 148346, 13845, 6, 23173, 28320, 5, 10339, 186955, 23173, 75230, 2702, 1470, 54260, 1211, 43649, 54260, 16747, 13845, 4, 1470, 98071, 4852, 95455, 6, 145146, 4, 6, 94741, 63020, 18225, 1470, 98071, 56417, 1751, 203749, 12483, 874, 98071, 2882, 1285, 49597, 37271, 22426, 21106, 4484, 13159, 2909, 7369, 4838, 177282, 75230, 159212, 123736, 148346, 6093, 6, 148346, 21106, 2648, 3069, 31467, 4151, 17824, 65482, 7611, 15, 26612, 6, 148346, 26612, 29659, 98071, 63532, 6, 99766, 4, 119718, 2808, 33809, 874, 26, 205416, 1470, 98071, 56417, 1751, 75230, 1211, 3523, 34533, 1751, 203749, 12483, 247, 133190, 6, 148346, 15533, 7369, 21374, 63532, 21422, 4838, 506, 98071, 1211, 4, 657, 75230, 23741, 51723, 1470, 30682, 125523, 2200, 874, 26, 2808, 98071, 4852, 1470, 98071, 56417, 33469, 244640, 148346, 2648, 7265, 1285, 137, 7201, 21106, 4484, 13159, 2909, 6, 113889, 4944, 244640, 20315, 2050, 163139, 49597, 7369, 2808, 98071, 4852, 1751, 75230, 1211, 3069, 31467, 130991, 3069, 31467, 4151, 17824, 65482, 7611, 4, 178748, 7369, 241662, 72308, 98071, 4484, 8903, 42023, 292, 2200, 114082, 101080, 31467, 14081, 17190, 506, 212915, 7511, 194706, 4231, 33809, 25207, 1211, 10069, 114955, 159696, 21295, 21106, 4113, 43649, 109316, 1211, 9934, 98071, 4667, 1054, 54260, 16932, 6, 23173, 33809, 2050, 6, 68566, 148346, 13845, 2200, 4151, 119055, 23173, 59919, 119055, 23173, 159212, 163139, 35189, 2648, 98071, 43649, 54260, 16747, 44779, 2205, 36324, 66334, 42572, 186955, 6, 23173, 75230, 2702, 9424, 238144, 84475, 29434, 54260, 4, 1470, 98071, 4852, 9424, 119718, 710, 364, 23173, 3131, 13845, 12, 13982, 54260, 292, 41764, 75230, 6093, 2205, 2205, 6, 148346, 710, 25207, 6, 61541, 12483, 6319, 33809, 63532, 4151, 113889, 4667, 160238, 95455, 55242, 1644, 148346, 4113, 163139, 49597, 148346, 54260, 6, 145146, 5, 132, 119718, 23173, 36326, 194, 44141, 16, 506, 43178, 8903, 71804, 6, 179482, 114955, 55242, 26394, 1211, 9934, 98071, 4667, 1470, 75230, 2702, 2205, 1470, 54260, 6093, 7508, 75230, 63532, 177274, 1211, 2205, 2205, 2808, 75230, 6093, 6, 23173, 54260, 1211, 199145, 7369, 1470, 98071, 4852, 12, 22753, 1644, 148346, 6093, 59461, 657, 54260, 4944, 16932, 84475, 4269, 39083, 2648, 114436, 6, 57277, 7611, 1470, 5, 2648, 5, 2932, 5, 35189, 6, 23173 ]

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

[ 75230, 2702, 8903, 240863, 114436, 10339, 33809, 1211, 6, 26394, 54574, 12483, 6, 94741, 63020, 6, 105235, 42023, 42572, 33809, 1211, 6, 238144, 18415, 16667, 2205, 6, 205416, 8947, 7511, 49597, 16803, 49920, 12483, 4, 119055, 12483, 7369, 107776, 3069, 31467, 4, 22518, 54260, 2882, 7369, 1470, 75230, 2702, 12, 2451, 364, 29789, 4, 49920, 4, 17288, 93975, 76866, 16011, 16932, 38, 12415, 159212, 8248, 4667, 6, 68558, 4151, 199145, 37826, 22639, 61397, 75230, 63532, 12, 2451, 48494, 203232, 6, 148346, 2442, 75230, 40920, 1470, 98071, 46244, 32, 225975, 2882, 7369, 199145, 7369, 6, 148346, 2442, 75230, 4667, 5, 2205, 1470, 75230, 148346, 215031, 6, 170355, 4667, 6235, 7916, 49597, 13497, 8248, 4667, 3523, 119718, 21292, 12483, 2648, 98071, 114955, 4, 6235, 506, 2882, 95455, 6319, 98071, 16747, 6, 23173, 75230, 2702, 24464, 4151, 7508, 54260, 506, 9934, 98071, 26394, 16747, 98071, 8903, 1470, 33809, 1211, 7369, 1470, 98071, 4852, 16580, 49268, 4, 6, 75230, 1644, 7369, 1470, 98071, 4852, 4151, 184639, 42572, 33809, 1211, 6428, 12, 6235, 226112, 36909, 65482, 5, 1470, 33809, 1211, 4151, 6, 23173, 75230, 2702, 8903, 240863, 114436, 42572, 33809, 1211, 6, 26394, 54574, 12483, 6235, 506, 2882, 6, 238144, 16932, 4838, 159696, 4484, 2205, 6319, 33809, 63532, 6, 148346, 21106, 2648, 3069, 31467, 2442, 98071, 4484, 1470, 33809, 1211, 4269, 98071, 2882, 238144, 16932, 4838, 6235, 25391, 54260, 5, 2451, 364, 29789, 4, 364, 29789, 4, 185182, 195054, 7972, 1982, 16932, 38, 128750, 4113, 98833, 4151, 1470, 54260, 50856, 75230, 46685, 12, 2451, 25933, 203232, 6, 148346, 2442, 75230, 47332, 9213, 46244, 32, 225975, 2882, 7369, 4, 199145, 7369, 6, 148346, 2442, 75230, 40920, 4, 2205, 1470, 75230, 148346, 7369, 6, 186145, 23741, 4, 6235, 506, 2882, 4231, 114436, 1470, 75230, 4667, 23173, 75230, 2702, 5, 6235, 506, 2882, 7369, 119055, 29259, 16932, 4838, 159696, 4484, 2200, 107776, 3069, 31467, 2442, 7682, 5, 36324, 75230, 117473, 6, 148346, 15533, 7369, 6, 186145, 23741, 148346, 98071, 4852, 73784, 141879, 1211, 5, 230764, 6428, 13159, 141879, 1211, 6, 48775, 6293, 7369, 3523, 98071, 16803, 46711, 73381, 12483, 2451, 35189, 141879, 17800, 54260, 16803, 6, 95494, 6293, 29434, 27, 113889, 4944, 244640, 20315, 2050, 23050, 506, 63532, 18225, 10676, 21374, 49268, 2205, 874, 26, 39293, 56169, 1470, 30682, 6, 48904, 98071, 35189, 2205, 18225, 147713, 2882, 1470, 98071, 56417, 6, 23173, 75230, 6293, 30109, 75230, 1211, 6, 148346, 29766, 1751, 46545, 44779, 6, 34575, 75230, 16, 1470, 75230, 36909, 26, 1211, 6319, 137377, 1470, 33809, 1211, 6, 148222, 98071, 148346, 2442, 98071, 8903, 55242, 26394, 1211, 6, 98071, 4667, 1470, 75230, 4667, 4838, 159696, 4484, 5, 16175, 54260, 1644, 67882, 4944, 244640, 12483, 7746, 60837, 120467, 64213, 4, 657, 4, 8903, 1211, 7746, 5, 2200, 35189, 9424, 54260, 2882, 6235, 506, 2882, 7508, 6093, 6, 95494, 4667, 29434, 27, 2205, 3496, 244640, 71577, 2882, 4838, 29771, 7201, 1285, 49597, 30109, 75230, 1211, 42572, 8580, 21374, 49268, 26, 5, 120202, 2808, 33809, 1211, 4838, 177282, 75230, 159212, 4, 3496, 244640, 71577, 12483, 7746, 76961, 230764, 4, 1470, 75230, 101608, 21776, 2050, 21374, 49268, 4, 2200, 657, 75230, 55823, 1211, 72649 ]

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

[ 2702, 113889, 4667, 2205, 22518, 54260, 12483, 12, 2451, 564, 71577, 2882, 4838, 4269, 91275, 4, 27702, 7201, 2865, 4838, 4269, 91275, 38, 148346, 98071, 4852, 874, 26, 1982, 71577, 2702, 1470, 98071, 56417, 5, 23269, 506, 51723, 1470, 98071, 56417, 6, 68558, 9424, 238144, 137, 33716, 48775, 4852, 117260, 49597, 39340, 2050, 155, 117578, 1285, 49597, 123736, 25207, 36258, 2200, 6, 148346, 164863, 183216, 1470, 98071, 56417, 3069, 31467, 10184, 49597, 46244, 12483, 6, 51220, 21374, 49268, 5, 128750, 4113, 98833, 1470, 98071, 506, 2702, 4151, 21374, 49268, 12, 6, 5, 47709, 33809, 6, 61397, 12483, 32, 35596, 59919, 2702, 7369, 12, 2451, 6, 23173, 4231, 114436, 6, 159696, 21295, 5, 2451, 1054, 120467, 151614, 16803, 33809, 6235, 2882, 33809, 1211, 32, 2451, 564, 26, 506, 29771, 148346, 6235, 36909, 33809, 49008, 4838, 6, 148346, 15907, 13845, 874, 98071, 2882, 182731, 5, 2451, 25933, 203232, 151614, 16803, 33809, 6235, 2882, 33809, 1211, 564, 98071, 2050, 26, 1211, 6, 148346, 54260, 13845, 874, 98071, 2882, 182731, 32, 2451, 564, 26, 506, 29771, 148346, 6235, 4484, 75230, 159212, 1751, 98071, 2702, 13845, 4, 17190, 61541, 4, 32887, 109636, 1644, 5, 2451, 1054, 120467, 151614, 16803, 33809, 6235, 2882, 33809, 1211, 874, 98071, 2882, 1751, 98071, 2702, 13845, 4, 17190, 36909, 13845, 4, 32887, 61541, 32, 2451, 564, 26, 85465, 200117, 6235, 8903, 1982, 12483, 1285, 49597, 6319, 98071, 83182, 44779, 3069, 31467, 8947, 12483, 5, 2451, 48494, 2442, 151614, 16803, 33809, 1285, 49597, 114955, 44779, 32, 2451, 1470, 75230, 2702, 23269, 16803, 29766, 148346, 12483, 5, 2451, 1470, 33809, 1211, 7213, 2702, 13845, 4, 17190, 61541, 4, 46711, 7201, 171665, 1644, 32, 2451, 1470, 75230, 1982, 8903, 1982, 90848, 1982, 12483, 5, 2451, 1054, 120467, 364, 98071, 1644, 16803, 33809, 4, 17288, 183216, 9424, 98071, 6319, 73381, 12483, 32, 95766, 7369, 21374, 75230, 148346, 2882, 7746, 1470, 75230, 2702, 1470, 54260, 16667, 10339, 33809, 1211, 7508, 98071, 6, 148346, 54260, 20315, 12, 1470, 75230, 148346, 364, 76632, 12483, 4, 6, 32670, 2882, 51723, 1470, 30682, 6, 148346, 54260, 1285, 1470, 75230, 6093, 12483, 2200, 1470, 75230, 148346, 115222, 109636, 1211, 4, 19302, 71577, 2882, 18225, 1470, 30682, 7265, 1285, 31283, 50856, 95766, 6, 88660, 7201, 6, 23173, 54260, 1211, 5, 2808, 141869, 16, 119718, 23173, 710, 62067, 12, 2451, 81179, 112707, 2882, 33809, 6, 61397, 12483, 32, 2451, 4838, 6293, 4231, 114436, 6, 159696, 21295, 5, 2451, 199145, 151614, 16803, 33809, 6235, 39293, 506, 12483, 32, 2451, 4838, 45521, 4484, 109316, 6235, 119425, 5, 2451, 56170, 1054, 120467, 151614, 16803, 33809, 8947, 7511, 49597, 16803, 6235, 80264, 3496, 71577, 12483, 32, 2451, 564, 26, 85465, 200117, 874, 151461, 6235, 506, 40096, 2702, 26, 159696, 2882, 205026, 19302, 71577, 12483, 5, 2451, 6319, 71804, 23741, 2050, 1470, 30682, 4, 19302, 71577, 125830, 1470, 30682, 4, 6319, 71804, 23741, 2702, 1470, 98071, 56417, 5, 132, 5666, 29766, 126968, 119718, 4, 657, 33809, 148346, 1644, 5, 33960, 148346, 5, 194, 69139, 16, 2808, 98071, 1211, 56170, 148346, 12483, 5, 16580, 83182, 23050, 506, 51723, 7746, 3523, 24295, 75230, 6293, 2205, 16175, 54260, 12483, 9424, 238144, 42572 ]

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