Datasets:
joegolk
/
roberta-tokenized-data

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
512
512
attention_mask
listlengths
512
512
[ 1211, 119055, 6093, 6, 148222, 874, 54260, 135542, 3056, 2819, 7369, 6655, 148346, 21106, 26612, 112216, 4484, 33809, 2702, 12483, 3523, 33809, 18415, 6, 148346, 12415, 35189, 6, 4, 119055, 46646, 39484, 31467, 8580, 70845, 6, 148346, 37016, 62067, 7265, 6, 148222, 137218, 28714, 119718, 20961, 1751, 54260, 5927, 54260, 2882, 2451, 209, 6, 5, 2451, 3131, 54260, 5927, 54260, 2882, 2819, 1470, 33809, 5666, 2205, 6428, 4944, 54260, 2808, 169532, 49481, 10676, 4838, 15533, 33960, 159696, 1211, 4231, 76776, 54260, 4838, 4838, 33809, 5666, 144754, 4838, 47293, 3131, 1751, 109636, 16932, 2451, 21631, 33809, 5927, 711, 18553, 98071, 2050, 3056, 7265, 1470, 54260, 1211, 73256, 6235, 119718, 69596, 1211, 4838, 23405, 82377, 6, 4, 4838, 119859, 75230, 36419, 6, 23405, 54260, 710, 6, 48350, 23829, 3056, 24012, 159696, 1211, 1470, 54260, 23405, 29060, 33809, 185226, 2205, 77014, 107182, 1470, 33809, 5666, 4838, 21338, 29060, 5332, 34654, 1211, 6, 76776, 71804, 95766, 6, 148346, 12415, 1644, 7972, 62067, 8580, 2819, 51328, 220771, 8580, 6, 4, 36324, 22753, 2808, 3056, 7265, 10676, 24012, 159696, 1211, 21847, 7682, 32792, 6, 4, 3069, 31467, 6, 211630, 12483, 6, 4, 6, 148346, 6093, 33809, 506, 176727, 6, 4, 3056, 24857, 110573, 76866, 204982, 6, 40096, 5666, 4231, 4838, 1054, 4838, 8300, 108264, 1644, 3056, 11265, 6, 124470, 9719, 2648, 74806, 96256, 8903, 1211, 6681, 11265, 4113, 1470, 75230, 129891, 5332, 5332, 26612, 135541, 905, 4838, 8580, 185758, 42493, 6, 23173, 75230, 2702, 10339, 33809, 1211, 6235, 2648, 167622, 6, 5, 10339, 33809, 1211, 62400, 506, 6, 4, 4838, 46590, 33809, 230764, 1470, 54260, 1211, 118522, 6, 48904, 54260, 186797, 7265, 11265, 5816, 1211, 145813, 2808, 138194, 8580, 2205, 44917, 2702, 6, 4, 2205, 6, 148346, 33809, 28726, 26612, 26612, 5332, 5332, 54260, 71512, 137218, 144754, 70845, 2205, 32887, 85465, 16932, 6, 4, 6655, 22753, 2808, 6, 124470, 9719, 2648, 6235, 4484, 33809, 20911, 230764, 76961, 4852, 54260, 146887, 6, 5, 6, 5, 6, 5, 11265, 4113, 6, 148346, 105330, 8580, 220224, 49008, 6235, 145168, 8580, 44917, 69106, 6, 238144, 2882, 5332, 4838, 137218, 4838, 75230, 29400, 26632, 6235, 4852, 33809, 40920, 6, 5, 6, 5, 6, 5, 9424, 108264, 1644, 12483, 711, 43649, 54260, 141943, 24295, 7265, 11265, 123736, 12483, 1470, 33809, 194734, 26612, 2884, 506, 33809, 22426, 506, 6, 4, 6655, 22753, 2808, 70845, 6, 4, 7265, 220224, 23269, 76961, 115825, 112452, 6, 238144, 7511, 61397, 6235, 22426, 40096, 2205, 30473, 49008, 163139, 2808, 11265, 3944, 148346, 8580, 9424, 108264, 1644, 12483, 2819, 22753, 2808, 6655, 4838, 46590, 33809, 42493, 6235, 506, 4113, 98833, 6, 17645, 23093, 609, 16667, 52, 73375, 4838, 124470, 4, 22753, 2808, 6655, 204982, 221387, 163139, 2808, 4151, 25093, 364, 15907, 6235, 26612, 26612, 98833, 148222, 6, 148346, 2442, 14540, 6, 4, 22753, 2808, 6655, 42493, 221387, 163139, 2808, 18225, 6655, 6235, 22426, 75230, 35596, 6, 54260, 26612, 171665, 609, 148346, 506, 12, 9213, 11265, 4113, 1470, 75230, 6093, 8580, 6655, 24012, 21733, 33809, 183216, 4838, 148346, 37016, 62067, 4113, 165284, 24621, 5332, 185758, 6655, 7746, 6235, 2648, 115536, 6, 4, 22753, 2808, 364, 77188, 3496, 54260, 20315, 16747, 24295, 9424 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 119718, 13456, 2884, 54745, 1211, 41764, 33809, 22426, 1644, 33809, 109636, 185758, 3944, 148346, 8580, 9424, 108264, 1644, 12483, 6, 5, 6, 5, 6, 5, 1470, 33809, 5666, 51328, 19024, 1211, 36324, 6, 148222, 168677, 19767, 8580, 4231, 71577, 8580, 171433, 8903, 506, 75230, 148346, 8580, 3523, 25491, 61397, 8580, 5, 10339, 33809, 1211, 76961, 220224, 146887, 6, 4, 6, 64260, 37826, 8248, 26612, 22753, 22426, 5332, 4838, 26612, 137218, 7201, 33809, 1211, 4838, 31249, 175722, 7369, 119055, 115536, 6, 4, 1470, 33809, 5666, 3056, 6235, 22492, 183216, 7265, 4231, 29060, 6, 54260, 1211, 8903, 23173, 63593, 2882, 6, 5, 6, 5, 6, 5, 171665, 107182, 4838, 167305, 2442, 49481, 4151, 77756, 33809, 5927, 7265, 46601, 21292, 2702, 33809, 1211, 5332, 4231, 40096, 6, 57277, 54260, 5332, 46590, 73256, 3523, 26632, 33960, 148346, 29060, 8580, 6, 4, 67826, 44478, 506, 54260, 2882, 6, 4, 7369, 47567, 2205, 45223, 22426, 33809, 1211, 6, 137218, 26612, 8903, 149311, 230764, 9424, 108264, 1644, 12483, 6, 4, 7369, 47567, 6, 148346, 54260, 2808, 11265, 10339, 33809, 1211, 68889, 10918, 1211, 6, 4, 4838, 75230, 2882, 6, 54260, 710, 146887, 5332, 2808, 75230, 2050, 14856, 112452, 220224, 1211, 6, 50647, 2819, 22753, 2808, 47567, 60980, 8903, 1211, 6235, 23822, 54260, 7508, 54260, 1211, 6, 54260, 2882, 6, 71577, 22426, 185758, 6, 148346, 69596, 149311, 6, 4, 119055, 46646, 37826, 22753, 2808, 3944, 148346, 28415, 10339, 33809, 1211, 9934, 75230, 1211, 6, 17645, 22426, 8580, 1054, 5332, 26612, 9221, 33809, 506, 2882, 204982, 97483, 5666, 1470, 33809, 5666, 4838, 40920, 6, 4, 1470, 33809, 5666, 3056, 22426, 61397, 8580, 11265, 22426, 26612, 54260, 71577, 12483, 4838, 17645, 64044, 8903, 7511, 129891, 6, 4, 76961, 11265, 4113, 119055, 2808, 33809, 110970, 8580, 711, 1982, 26632, 119055, 20961, 5332, 26612, 26612, 26612, 710, 2451, 534, 292, 25491, 75230, 2882, 16175, 7201, 83957, 119718, 6, 4, 10339, 33809, 1211, 220224, 1211, 133749, 6, 4, 3056, 33960, 159696, 1211, 220224, 6093, 115825, 21733, 29060, 15907, 2205, 1751, 54260, 23269, 119055, 75230, 148346, 15350, 1470, 33809, 25207, 6, 87311, 54343, 850, 6655, 7369, 42493, 6235, 119718, 2808, 33809, 16803, 2819, 15907, 54260, 26612, 34076, 7682, 149010, 58826, 46244, 6, 4, 6655, 7369, 120202, 24012, 28726, 148346, 2882, 7265, 6, 124403, 6, 1211, 6, 4, 163139, 2808, 75322, 21106, 123736, 67767, 6, 76776, 33104, 2205, 113524, 8009, 1211, 6, 4, 1470, 54260, 35189, 4151, 620, 122978, 6655, 7746, 8300, 119718, 13456, 8580, 220224, 2808, 6, 23173, 54260, 1211, 6235, 9719, 29659, 2819, 3523, 23173, 77208, 9424, 238144, 2808, 58826, 46244, 6, 4, 3056, 6235, 4484, 33809, 51723, 2808, 54260, 1211, 1470, 33809, 23405, 105330, 149010, 2442, 3069, 31467, 10339, 21106, 6, 4, 1470, 33809, 5666, 6655, 163139, 16803, 1470, 33809, 5666, 23022, 185000, 220224, 1211, 2932, 48904, 26394, 6, 159696, 21295, 6, 4, 7265, 220224, 1211, 44917, 112690, 1211, 17190, 148346, 12483, 5, 5, 304, 4113, 6, 5, 95766, 4838, 54260, 119132, 10339, 33809, 1211, 6, 148222, 163139, 13497, 6093, 196332, 5, 6, 5, 1470, 33809, 24621, 196332, 6, 4, 1157, 148346, 4113, 6, 4, 4484, 21106, 18415, 123736, 159696, 107829, 1211, 6, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3056, 6, 148222, 68273, 34322, 6, 80146, 16175, 7201, 83957, 119718, 33960, 39293, 149311, 1470, 54260, 23269, 21106, 54260, 1211, 5332, 2205, 11265, 7508, 54260, 4667, 1470, 75230, 2702, 6235, 22426, 33809, 56169, 8580, 21422, 46685, 6, 4, 6, 148346, 54260, 2050, 60980, 107581, 158548, 8580, 2702, 26612, 137218, 26612, 23173, 2819, 46601, 21292, 16175, 7201, 83957, 119718, 3056, 4838, 159696, 4484, 6235, 64044, 8580, 2205, 15864, 95564, 159696, 6, 4, 7201, 33809, 6, 137218, 905, 146887, 2205, 1157, 2648, 4852, 6, 4, 4838, 54260, 20260, 75230, 156325, 6, 51437, 33809, 17800, 2205, 220224, 1211, 17824, 75230, 36419, 16888, 2882, 88660, 26632, 5332, 6, 54260, 2808, 125787, 6235, 2648, 75230, 77188, 42493, 6, 238144, 7511, 61397, 10339, 33809, 1211, 138, 119055, 2808, 211169, 9424, 54260, 2882, 6, 4, 26612, 905, 33809, 1644, 141943, 24295, 7746, 6, 4, 120202, 15350, 33809, 6, 238144, 6, 148346, 2808, 60071, 364, 54260, 21295, 7746, 6, 5, 292, 20315, 1211, 3373, 79100, 33104, 20961, 52, 4852, 33809, 39293, 2882, 4, 7369, 6, 201237, 2882, 7746, 3069, 31467, 7265, 1470, 54260, 1211, 1470, 33809, 24621, 158548, 20315, 12483, 115222, 22849, 109316, 6, 4, 119055, 75230, 28726, 6, 238144, 4852, 2882, 7508, 54260, 4852, 2882, 7369, 7746, 9213, 148346, 6093, 6, 4, 1470, 33809, 5666, 364, 54260, 148346, 57277, 1211, 6, 238144, 4113, 26612, 153, 148932, 73256, 9934, 115536, 6093, 6, 4, 620, 26612, 59919, 6, 4, 1470, 33809, 5666, 6, 5, 6, 5, 6, 5, 4269, 54260, 57277, 75230, 2882, 6, 1211, 5, 29789, 15622, 2808, 68273, 34322, 364, 77188, 7746, 3069, 31467, 3069, 31467, 2050, 3373, 79100, 119718, 20961, 2702, 141879, 1211, 23405, 141943, 15096, 4838, 26612, 33809, 5666, 16175, 22426, 115536, 6, 5, 6, 5, 6, 5, 26612, 54260, 4113, 6, 23405, 54343, 850, 55242, 8903, 1211, 6681, 1751, 119718, 2648, 65482, 6, 4, 22753, 2808, 6, 210674, 10339, 33809, 1211, 68273, 13159, 27, 7201, 33809, 1211, 3069, 31467, 73418, 33809, 5666, 5666, 6, 4, 10339, 33809, 1211, 145813, 2808, 138194, 8580, 6, 4, 10339, 33809, 1211, 23050, 47332, 18640, 8580, 6, 23093, 4113, 40096, 6093, 6, 4, 10339, 33809, 1211, 1285, 33809, 12, 28726, 194734, 133933, 905, 25391, 196332, 3373, 8300, 65482, 6, 4, 119055, 46646, 3056, 51328, 34076, 54260, 4667, 3069, 31467, 11265, 1468, 6, 5, 54260, 7972, 6319, 33809, 22426, 2882, 7508, 9221, 6681, 6, 4, 11265, 4113, 4231, 33809, 5666, 8903, 114955, 36326, 58826, 46244, 8580, 6, 5, 6, 5, 6, 5, 4151, 5666, 71577, 5332, 1054, 4231, 6, 54260, 2648, 3944, 148346, 6093, 9424, 129914, 1644, 6, 5, 6, 5, 6, 5, 163139, 2808, 220224, 2808, 39484, 31467, 12483, 7746, 6, 148346, 34882, 62067, 3523, 5, 5, 96743, 96256, 119718, 20961, 220224, 6093, 2451, 4852, 54260, 3131, 50856, 6, 124470, 22492, 448, 6, 4, 6, 148222, 42976, 9134, 9174, 21631, 5927, 6, 5, 6, 5, 6, 5, 220224, 1211, 4838, 177282, 75230, 22426, 2884, 5332, 4838, 33809, 5666, 5332, 119718, 26612, 95766, 20632, 2808, 46685, 6, 18250, 54260, 1211, 6, 5, 6, 5, 6, 5, 119055, 6093, 6, 238144, 2702, 1470, 75230, 148346, 7369, 17190, 148346, 2882, 705, 4838, 33809, 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 ]
[ 5332, 119718, 26612, 15750, 26612, 15907, 122623, 6, 4, 36324, 22753, 2808, 47567, 7746, 7265, 70845, 4838, 122165, 6, 148346, 2808, 8903, 8903, 49008, 9934, 4838, 4838, 6, 148346, 54260, 26612, 6, 54260, 75322, 31581, 506, 6, 5, 3056, 11265, 6, 48904, 12415, 33809, 61397, 1751, 75230, 35189, 9213, 148346, 6093, 6235, 17410, 22426, 8580, 2205, 6, 76776, 2932, 54260, 1211, 2932, 33809, 6293, 6, 4, 10339, 33809, 1211, 6, 148346, 25207, 2932, 6, 148346, 15533, 6, 148346, 25207, 2932, 152, 1470, 33809, 5666, 4838, 29659, 710, 44478, 6, 4, 51328, 99514, 31467, 1644, 33809, 109636, 26612, 39384, 22426, 54260, 76632, 46646, 3056, 6, 23173, 75230, 2702, 10339, 33809, 1211, 11265, 874, 75230, 1644, 6, 4, 6655, 7746, 6, 66313, 77188, 9213, 148346, 4113, 119718, 1211, 6, 148346, 710, 109636, 26612, 4838, 26612, 93704, 23829, 55242, 1644, 148346, 93975, 6, 117397, 33809, 2882, 3056, 6, 23173, 54260, 1211, 6, 148222, 6428, 171127, 5332, 4838, 33809, 5666, 4231, 40096, 8903, 24621, 50853, 29060, 6, 4, 36324, 1470, 54260, 1211, 1470, 33809, 5666, 148346, 37016, 62067, 6093, 14856, 110970, 6, 4, 6, 148346, 29060, 1285, 7369, 1644, 75230, 22426, 65482, 36326, 6093, 147062, 4838, 54260, 4667, 6, 74004, 129891, 234917, 3523, 54260, 15231, 8903, 1054, 6093, 16932, 2819, 1285, 6235, 22426, 26612, 17645, 2932, 18415, 6093, 1644, 75230, 148346, 65482, 3131, 3056, 33960, 8903, 148346, 12483, 6235, 119718, 69596, 1211, 6, 5, 148346, 14081, 2648, 6655, 7746, 6, 148222, 78104, 46244, 24012, 73381, 41595, 6, 4, 1470, 33809, 5666, 2205, 21422, 16932, 4838, 8580, 23173, 54260, 1211, 6235, 4484, 33809, 51723, 9213, 33809, 23405, 6093, 6, 133111, 6, 5, 7508, 54260, 4667, 4838, 121865, 96256, 58679, 18415, 3131, 6235, 18640, 905, 33809, 710, 29060, 4838, 64044, 6, 148346, 54260, 23269, 16747, 24295, 6, 18167, 6, 4, 7265, 17824, 75230, 2702, 30795, 141211, 6, 4, 9174, 26632, 7369, 67826, 1644, 23050, 170355, 98833, 4838, 26, 26612, 2932, 33809, 16932, 1470, 4113, 141943, 2451, 80146, 38, 6, 5, 6, 5, 35189, 5332, 101503, 874, 2451, 2442, 2451, 710, 2451, 2702, 6, 4, 3056, 6, 148346, 79238, 96256, 8903, 1211, 41764, 33809, 1211, 4838, 54260, 76776, 71512, 2932, 21660, 54260, 1644, 18415, 22753, 1644, 148346, 12483, 6, 4, 1470, 33809, 5666, 148932, 22753, 1644, 148346, 4113, 3056, 6, 23173, 54260, 1211, 6235, 16580, 26612, 54260, 1211, 6, 57277, 17171, 1211, 95766, 68889, 10918, 1211, 6, 4, 2205, 3523, 83586, 163139, 2808, 10339, 54260, 6093, 196332, 145813, 710, 109995, 2819, 220224, 364, 15907, 6235, 22426, 710, 186955, 119718, 23829, 11265, 4113, 6, 148346, 1644, 33809, 146887, 21374, 506, 79981, 2205, 11265, 4113, 84475, 8580, 4, 11265, 6, 147455, 4838, 54260, 43649, 54260, 710, 4838, 64044, 64751, 12415, 1211, 6, 4, 11265, 4113, 1470, 79422, 6681, 115825, 159696, 33716, 22753, 2808, 6319, 47351, 8248, 31467, 22426, 42493, 6, 137218, 26612, 2884, 7201, 33809, 1211, 6, 99766, 6, 4, 22753, 2808, 60980, 1211, 7746, 42493, 4112, 18415, 79981, 230764, 11265, 4113, 41764, 33809, 2702, 5332, 26612, 905, 4838, 2451, 155, 28726, 148346, 2882, 16175, 2451, 2442, 2451, 710, 2451, 2050, 705, 22753, 2808, 4151, 6319, 62067, 20033, 42493, 32887, 109636 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4231, 1054, 1054, 4838, 2451, 155, 8300, 108264, 711, 6, 5, 6, 5, 6, 5, 4838, 3149, 6, 5, 6, 5, 6, 5, 9424, 108264, 4, 711, 6, 5, 6, 5, 6, 5, 6655, 6, 80146, 33960, 204403, 4113, 22426, 33809, 15907, 4838, 26612, 93704, 6093, 64890, 16803, 3056, 3069, 31467, 23269, 22492, 183216, 6235, 3149, 216510, 6, 4, 7369, 4231, 40096, 4838, 905, 54260, 62073, 2882, 87442, 6, 109995, 364, 104274, 6, 4, 132025, 8903, 3111, 31467, 51723, 6, 80146, 2702, 198754, 4113, 6, 4, 4838, 33809, 8580, 6, 115952, 109636, 506, 104274, 2819, 11265, 6319, 33809, 16580, 16747, 18640, 7265, 220224, 23269, 1751, 119718, 20961, 26394, 10339, 54260, 6093, 196332, 4838, 75230, 129891, 5332, 2205, 22426, 12130, 6, 4, 2205, 11265, 4113, 1470, 75230, 2932, 8580, 6, 4, 163139, 2808, 7369, 119055, 158291, 6, 159696, 79981, 1470, 167351, 15907, 120202, 4838, 33809, 54260, 1211, 6, 48350, 54260, 16667, 1470, 54260, 1211, 6, 21106, 18415, 6681, 1644, 20961, 65482, 196511, 6, 5, 6, 5, 6, 5, 2451, 155, 168892, 6, 5, 6, 5, 6, 5, 1751, 75230, 1211, 6, 4, 77756, 33809, 5927, 174246, 2932, 711, 6, 5, 6, 5, 6, 5, 4231, 40096, 6, 57277, 33809, 2882, 42493, 8300, 33809, 23269, 24621, 16747, 24295, 11265, 364, 62067, 10339, 33809, 1211, 22753, 29771, 4113, 4, 150764, 2819, 1470, 33809, 5666, 2205, 123736, 137218, 67826, 22426, 54260, 13159, 79100, 119718, 20961, 4231, 40096, 2451, 702, 292, 292, 710, 26632, 7746, 221387, 4838, 4, 2808, 4667, 69741, 23093, 6, 4, 6681, 29434, 46646, 6, 4, 7265, 7369, 61397, 8903, 2702, 6, 5, 6, 5, 6, 5, 2451, 6255, 6, 4, 19024, 20260, 4269, 26632, 6, 4, 119055, 46646, 20033, 55242, 42023, 6, 5, 4852, 18167, 6, 5, 119055, 46646, 6428, 33809, 2808, 17190, 148346, 16803, 6, 4, 26612, 9183, 6, 80146, 6, 4, 163139, 2808, 6, 143409, 39484, 31467, 8580, 20033, 7746, 42493, 24012, 39293, 42023, 4231, 2451, 26, 506, 4113, 104238, 177868, 14004, 4231, 90761, 6, 5, 6, 5, 1468, 2451, 5594, 192900, 42493, 6, 174121, 850, 705, 6, 5, 6, 5, 6, 5, 6428, 33809, 874, 54260, 16667, 2882, 3944, 148346, 4113, 6, 80146, 496, 167305, 2442, 2819, 87637, 109636, 1211, 3056, 138, 58826, 46244, 124724, 24012, 159696, 1211, 1751, 159696, 2442, 3069, 31467, 119055, 101503, 8580, 705, 6255, 119055, 158291, 49481, 17410, 5666, 5666, 4231, 122978, 119055, 101503, 8580, 6, 5, 6, 5, 6, 5, 6, 80146, 711, 6, 80146, 711, 220224, 6093, 6, 148346, 710, 16932, 6, 4, 36324, 18225, 140746, 1751, 119718, 710, 63532, 6, 148346, 15533, 10676, 6, 148346, 189623, 3780, 6, 4, 1470, 33809, 5666, 19024, 1211, 147062, 18225, 7746, 4151, 65848, 20260, 12483, 711, 6, 5, 6, 5, 1468, 292, 8300, 33809, 7369, 29659, 119055, 13845, 6255, 124724, 6, 148346, 29060, 8580, 9424, 108264, 1644, 6, 4, 55242, 7611, 7746, 6, 4, 81414, 20260, 23822, 54260, 6, 4, 1470, 33809, 5666, 6681, 6, 148346, 54260, 2702, 6, 4, 364, 66293, 6428, 33809, 2808, 105884, 16803, 7265, 110573, 13159, 6, 4, 7265, 6681, 13982, 46646, 5332, 123736, 148346, 6093, 4838, 2932, 192900, 6, 148346, 15533, 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 ]
[ 6428, 33809, 2808, 6, 148346, 54260, 2808, 20033, 4151, 184639, 4151, 148346, 13159, 16932, 6, 5, 1468, 8300, 108264, 6655, 7746, 24012, 39293, 56169, 42493, 6, 238144, 2882, 10339, 33809, 1211, 6, 80146, 1211, 6, 4, 9424, 119718, 13456, 8580, 220224, 2808, 148346, 54260, 122623, 6, 54260, 4852, 3523, 23173, 24012, 159696, 1211, 4838, 110720, 120202, 25391, 10339, 33809, 1211, 4838, 506, 14081, 148346, 4838, 93509, 8580, 2819, 7369, 9174, 26632, 144754, 6, 148346, 54260, 20315, 364, 141943, 6, 23173, 33809, 2050, 6235, 3111, 31467, 51723, 6, 148222, 364, 54260, 36419, 4269, 170098, 6, 23093, 54260, 6, 4, 1470, 33809, 5666, 199887, 506, 54260, 148346, 8580, 4852, 33809, 22426, 33809, 1211, 1470, 33809, 5666, 3496, 54260, 122623, 2819, 6681, 1285, 5332, 21338, 98071, 107581, 58826, 46244, 6, 4, 3056, 9424, 108264, 75386, 9424, 23174, 15350, 49481, 63188, 1470, 75230, 2702, 74806, 7972, 156325, 6235, 119718, 69596, 1211, 6, 4, 6, 54260, 23269, 119055, 6093, 16932, 39484, 31467, 12483, 24012, 149364, 710, 21295, 10339, 33809, 1211, 26612, 75230, 1211, 16175, 119718, 1644, 2819, 7369, 9174, 26632, 22753, 2808, 24012, 8903, 148346, 8580, 4838, 4944, 54260, 119132, 4838, 120749, 18640, 8580, 60631, 148346, 2884, 10339, 33809, 1211, 710, 114436, 6, 117397, 33809, 2882, 119055, 46646, 7369, 3056, 6, 40096, 17410, 156325, 10339, 33809, 1211, 72788, 77756, 33809, 5927, 6, 148346, 15533, 6, 148222, 182261, 93975, 54260, 3111, 31467, 22426, 4231, 7369, 6655, 11265, 4151, 9424, 54260, 21295, 119055, 6093, 4231, 65482, 32054, 75230, 220224, 23269, 3056, 24012, 159696, 1211, 6, 4, 119718, 40096, 186046, 1470, 54260, 1211, 6, 23173, 33809, 17800, 6, 4, 1470, 33809, 5666, 163139, 2808, 220224, 1211, 32899, 16932, 6655, 70845, 41764, 20961, 17494, 33809, 22426, 2882, 3069, 31467, 3944, 148346, 6, 148222, 4948, 7508, 33809, 148346, 1644, 3523, 35465, 6, 4, 119055, 46646, 11265, 32899, 16932, 6655, 70845, 7511, 23269, 54260, 1211, 4231, 7369, 6655, 7746, 6681, 33960, 105235, 21295, 6681, 1470, 164131, 6, 4, 6681, 1470, 54260, 1211, 2808, 33809, 110970, 5594, 93975, 6, 5, 6093, 192956, 3523, 83586, 2819, 119055, 46646, 6, 4, 59616, 51138, 7508, 33809, 22426, 8580, 11265, 6, 4, 1054, 46646, 3131, 28726, 22426, 18415, 3373, 148346, 850, 6, 5, 874, 44182, 6, 4, 34654, 214766, 12483, 70845, 6, 23173, 33809, 2050, 6, 4, 10339, 33809, 1211, 76961, 220224, 146887, 6, 4, 54260, 54260, 112106, 710, 6, 54260, 1211, 34076, 7682, 6, 4, 220224, 2808, 6681, 163139, 73215, 1211, 21422, 1211, 17190, 148346, 8580, 6, 4, 220224, 2808, 6681, 22426, 100810, 17645, 122623, 220224, 1211, 6, 159696, 21295, 711, 1470, 33809, 5666, 182261, 711, 4, 6655, 7369, 110573, 107182, 7265, 4838, 8903, 238144, 1211, 23269, 4113, 64567, 2882, 152, 36324, 6255, 6, 148346, 8580, 76961, 6, 147185, 9213, 148346, 6093, 6235, 4484, 33809, 51723, 6, 4, 120202, 3523, 41595, 1285, 46646, 79100, 119718, 20961, 19532, 17800, 23173, 33809, 17800, 6, 4, 6428, 29259, 23829, 58826, 46244, 6235, 506, 20961, 58032, 29060, 1470, 33809, 5666, 11265, 3069, 31467, 2808, 6235, 36723, 186955, 16175, 75230, 35596, 2442, 33809, 148346, 1644, 6, 4, 4838, 148346, 710, 1470, 75230, 2702, 6, 195054, 54260, 4852, 2882, 119055, 6093, 8580, 10339 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33809, 1211, 11265, 6, 5, 6, 5, 6, 5, 182261, 36324, 4838, 710, 22426, 4231, 71577, 137377, 6, 61397, 75230, 63532, 6, 148222, 43649, 54260, 59461, 7265, 6, 148222, 4151, 59461, 10339, 33809, 1211, 874, 54260, 1211, 17190, 148346, 172398, 4113, 25603, 26612, 4113, 26632, 182261, 36324, 6255, 6, 148346, 8580, 6235, 4484, 33809, 51723, 6, 101470, 874, 54260, 1211, 1285, 28714, 98833, 6, 4, 874, 54260, 1211, 112216, 33809, 76866, 137218, 29060, 119718, 120467, 6255, 14779, 171665, 6235, 2865, 54260, 13497, 6, 4, 70845, 3069, 31467, 6235, 7916, 49008, 6, 4, 230764, 10676, 6, 99766, 119055, 40096, 168892, 39484, 31467, 70845, 140108, 6235, 2865, 33809, 4852, 2882, 1157, 109995, 6, 5, 6, 5, 6, 5, 1470, 33809, 5666, 39484, 31467, 70845, 23050, 22426, 33809, 49008, 4838, 8580, 22680, 63593, 20315, 364, 141943, 711, 6, 5, 6, 5, 6, 5, 182261, 6, 4, 163139, 1644, 6255, 1751, 174410, 148346, 8580, 711, 51328, 1751, 174410, 148346, 8580, 4838, 26612, 26612, 2808, 33809, 5666, 874, 54260, 1211, 1285, 96302, 6, 4, 6428, 33809, 874, 121865, 26, 1644, 6, 4, 1470, 75230, 148346, 6428, 33809, 119055, 119273, 6, 159696, 79981, 3523, 54260, 1211, 3523, 40096, 2865, 54260, 1211, 657, 42021, 153, 1470, 75230, 148346, 6428, 33809, 119055, 119273, 6, 159696, 79981, 6, 148346, 54595, 33809, 211169, 4838, 122165, 874, 54260, 1211, 6, 228605, 5332, 874, 54260, 1211, 148346, 6093, 8903, 28726, 7369, 2648, 6, 4, 32887, 16803, 6428, 33809, 163139, 2702, 12483, 36324, 24857, 3056, 874, 54260, 1211, 182990, 6, 113889, 21087, 37922, 54260, 1211, 44917, 57619, 6093, 6, 4, 874, 54260, 1211, 184639, 1470, 33809, 5666, 141879, 2442, 46711, 54260, 16803, 711, 1468, 6, 5, 148222, 19024, 4852, 71512, 119055, 6093, 16932, 6655, 9424, 108264, 3523, 9221, 16870, 2882, 7265, 36324, 75230, 41764, 24248, 20961, 7611, 7265, 36324, 2808, 41764, 54260, 6093, 158548, 8580, 6235, 111684, 1644, 6, 4, 36324, 220224, 1211, 148932, 119055, 23173, 2882, 4231, 40096, 4852, 18167, 1470, 54260, 1211, 6235, 506, 129071, 6, 4, 1470, 54260, 1211, 74806, 7511, 146887, 2205, 6, 80146, 2702, 55202, 5332, 2200, 4838, 710, 48904, 54260, 16803, 6, 4, 22753, 2808, 6655, 7265, 6, 148346, 54260, 20315, 364, 141943, 6235, 3149, 2808, 22426, 2882, 220224, 1211, 198754, 4113, 4838, 104274, 5332, 2808, 33809, 5666, 7265, 46711, 6093, 8580, 6655, 22753, 2808, 150764, 5, 152, 52, 8300, 108264, 1644, 711, 874, 54260, 1211, 4, 3944, 148346, 6093, 5332, 26612, 905, 20911, 6, 12483, 74004, 2932, 6, 4, 119055, 46646, 163139, 1644, 16803, 6428, 33809, 10339, 33809, 1211, 20033, 153, 874, 54260, 1211, 55202, 6, 4, 874, 54260, 1211, 59173, 15289, 4838, 8580, 21106, 4113, 73256, 24012, 159696, 1211, 6428, 54260, 23269, 6, 4, 1470, 33809, 5666, 182261, 1470, 75230, 4667, 1468, 2451, 155, 2808, 33809, 5666, 182261, 153, 1470, 75230, 4667, 711, 5, 6, 80146, 874, 54260, 1211, 17190, 148346, 12483, 6, 4, 874, 54260, 1211, 6, 159696, 21295, 5332, 874, 54260, 1211, 7972, 40920, 711, 6, 5, 6, 5, 6, 5, 6, 148346, 14004, 6, 148222, 141879, 119055, 6093, 16932, 6, 4, 6655, 7369, 22753, 2808, 6235, 8300, 75230, 8903, 1211, 8300, 33809, 7746, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4, 1470, 33809, 5666, 11265, 6, 148346, 79238, 26632, 8580, 7265, 10339, 54260, 6093, 2648, 8903, 364, 54260, 36419, 21374, 150349, 4838, 4838, 26612, 33104, 68313, 70845, 1751, 33809, 1644, 158548, 42493, 6235, 148346, 7972, 148346, 8580, 6, 4, 6, 148222, 6, 21106, 18415, 3944, 148346, 4113, 6655, 8248, 31467, 4667, 4838, 41595, 137377, 6235, 94626, 29659, 6, 4, 5, 22753, 2808, 6655, 230764, 6235, 55990, 506, 2882, 7265, 17824, 75230, 36419, 41764, 710, 14004, 12483, 4838, 26612, 54260, 506, 29771, 148346, 12483, 182261, 6681, 6235, 149311, 76961, 60631, 148346, 15050, 6, 4, 220224, 2808, 39484, 31467, 8580, 4838, 54260, 2882, 42493, 8903, 4113, 158291, 6, 148346, 29060, 4944, 115536, 8580, 163139, 2808, 17824, 75230, 2702, 3056, 6, 148222, 6, 26, 35402, 710, 8632, 4, 6, 238144, 364, 75230, 26612, 123736, 137218, 35189, 6, 148346, 48340, 6, 4, 163139, 2808, 16175, 32097, 4151, 6, 124470, 506, 14088, 6, 4, 119055, 46646, 6, 148222, 9424, 54260, 2882, 364, 15907, 4838, 26612, 75230, 16629, 1211, 4852, 54260, 2808, 6, 148346, 54260, 122623, 4, 6, 190135, 711, 220224, 6093, 6, 21106, 18415, 3944, 148346, 4113, 6655, 6, 148346, 54260, 2808, 41764, 54260, 16562, 112216, 40096, 12415, 148346, 8580, 6, 4, 1470, 33809, 5666, 120202, 6235, 3111, 31467, 51723, 22753, 61397, 52697, 1470, 33809, 5666, 6, 144862, 10813, 6, 4, 7265, 2882, 75230, 4838, 33809, 12483, 4852, 54260, 2808, 47567, 8580, 42493, 55242, 42023, 36324, 220224, 43649, 54260, 12483, 6, 148346, 54260, 20315, 6, 148346, 54260, 2050, 6, 124470, 56417, 6, 4, 6, 148346, 75230, 2882, 6, 95494, 75386, 79100, 119718, 20961, 6, 124470, 21631, 8580, 2451, 423, 292, 22426, 3149, 124470, 710, 4, 6, 4, 119055, 46646, 148932, 1470, 98071, 2648, 40697, 3523, 83586, 21422, 16932, 2882, 1470, 33809, 5666, 98664, 16932, 2882, 10339, 33809, 1211, 3131, 23269, 38249, 55242, 506, 186797, 10676, 6, 124470, 506, 14088, 711, 9424, 108264, 1644, 3056, 140108, 112389, 2882, 6235, 148346, 7972, 148346, 8580, 1468, 363, 148222, 10184, 2932, 33809, 25207, 6, 23173, 148346, 29060, 2932, 48904, 26394, 6, 105780, 6293, 24621, 609, 28726, 609, 6, 4, 6655, 9424, 108264, 1644, 6681, 6, 148346, 2442, 115536, 6, 148346, 54260, 2808, 220224, 1211, 2882, 54260, 4113, 119718, 1211, 1285, 2865, 104274, 6, 4, 6, 148346, 54260, 2808, 6, 54260, 1211, 3944, 148346, 6093, 6, 80146, 1211, 152, 1470, 33809, 5666, 6681, 6, 148222, 19302, 119718, 5666, 21660, 54260, 2882, 3056, 120202, 3523, 9221, 16870, 2882, 6235, 119718, 69596, 1211, 6, 4, 1470, 33809, 5666, 45521, 16803, 6, 148346, 79238, 15231, 63532, 1470, 33809, 5666, 6, 148346, 79238, 17410, 149311, 8903, 119718, 23173, 8580, 6, 4, 230764, 1470, 54260, 148346, 18640, 6, 4, 230764, 6, 124470, 9719, 2648, 6, 4, 230764, 76961, 73256, 6, 4, 163139, 2808, 8947, 4852, 21106, 220224, 1211, 6, 4, 163139, 2808, 220224, 2808, 47567, 8580, 7746, 6681, 1470, 54260, 110317, 8580, 6, 4, 163139, 2808, 220224, 2808, 47567, 8580, 60980, 8903, 1211, 2808, 33809, 23405, 13456, 16932, 2882, 6, 148346, 54260, 20315, 3069, 31467, 6, 74004, 51723, 6, 4, 34076, 7682, 32792, 1470, 33809, 5666, 7508, 33809, 506, 24295, 17190, 148346, 12483, 6, 5, 20315, 2050 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 55242, 152194, 8580, 169532, 6655, 6, 80146, 6, 174121, 147713, 45629, 24621, 6, 150839, 158291, 8580, 10339, 33809, 1211, 148346, 26612, 75230, 149311, 6, 4, 36324, 118222, 129891, 6319, 33809, 63532, 7369, 4838, 506, 54260, 2050, 6, 4, 1470, 33809, 5666, 10676, 55242, 1644, 148346, 45619, 1211, 169532, 3056, 8300, 108264, 1644, 120202, 6235, 64044, 8580, 10339, 33809, 1211, 220224, 1211, 3944, 148346, 4113, 6, 80146, 2819, 4151, 4269, 39293, 25222, 49008, 7746, 3056, 7511, 159696, 1211, 7265, 84087, 46711, 6093, 8580, 6, 4, 7265, 4838, 96743, 4667, 364, 54260, 36419, 6319, 33809, 2702, 149311, 6, 4, 7265, 42493, 710, 75230, 5666, 5666, 6, 33809, 159212, 10918, 6, 4, 13278, 2050, 4151, 43057, 33809, 148346, 2442, 3056, 24012, 159696, 1211, 6, 4, 36324, 28415, 10339, 33809, 1211, 4838, 142137, 8300, 54260, 2882, 6, 205416, 220224, 6093, 6, 211630, 5, 42493, 6235, 2648, 75230, 6093, 8580, 6, 4, 230764, 76961, 2442, 4838, 33716, 6, 5, 2808, 75230, 6293, 41764, 48340, 8580, 49481, 9424, 108264, 75386, 120202, 6681, 8580, 6, 4, 3056, 46601, 21292, 16175, 7201, 83957, 119718, 8903, 4484, 33809, 51723, 4838, 506, 54260, 2050, 657, 7265, 6, 54260, 1211, 7369, 29659, 8580, 6, 148346, 105330, 6655, 7369, 33960, 39293, 42023, 6, 4, 1470, 33809, 83182, 6319, 62067, 6, 68558, 6, 80146, 2702, 41764, 12130, 6, 4, 36324, 22753, 2808, 3056, 5332, 22426, 13159, 3069, 31467, 52, 2442, 33809, 10069, 21295, 5, 6, 4, 22753, 2808, 26612, 8580, 162726, 54260, 4944, 44779, 6, 4, 11265, 4113, 1751, 54260, 23269, 3944, 40920, 93975, 1470, 75230, 2932, 8580, 6, 4, 220224, 49008, 163139, 2808, 7265, 40096, 33809, 146887, 6, 148346, 21660, 75230, 129891, 6, 5, 22753, 2808, 3056, 163139, 2808, 6, 148346, 84662, 48350, 44779, 6, 5, 6, 5, 6, 5, 120202, 15350, 33809, 2205, 11265, 58032, 29659, 8580, 6319, 33809, 2050, 6, 4, 6, 148346, 54260, 2050, 49481, 29434, 54260, 2808, 119055, 2808, 107581, 107829, 129891, 42493, 55242, 42023, 7746, 6, 4, 6655, 12483, 23050, 22426, 5594, 21295, 6, 92605, 158291, 4484, 75230, 2882, 153, 1470, 54260, 4852, 212911, 2882, 6, 4, 4151, 19302, 33809, 33104, 3056, 33960, 159696, 1211, 26612, 26612, 75230, 4113, 4113, 75230, 8903, 1211, 3523, 5, 5, 4838, 29659, 33809, 46685, 153, 51328, 4151, 4269, 33809, 16932, 46601, 21292, 6655, 24857, 22426, 26612, 26612, 160751, 41595, 123736, 221704, 10184, 21295, 22753, 26612, 7746, 42493, 141107, 23050, 4852, 33809, 16747, 6, 4, 22753, 2808, 3056, 199250, 7511, 2882, 28415, 163139, 2808, 4838, 36326, 2808, 107581, 8009, 109316, 75903, 104149, 2819, 51328, 6, 148346, 710, 35044, 91595, 54260, 4852, 6655, 4113, 4667, 230764, 11265, 6681, 119055, 14081, 16580, 50778, 1211, 6, 148346, 12130, 6, 4, 132025, 8903, 506, 54260, 148346, 8580, 6, 75230, 109995, 4838, 22680, 54260, 28726, 106504, 54260, 2882, 74, 2702, 79100, 119718, 20961, 6, 148222, 2451, 611, 292, 148222, 6, 148346, 12415, 1644, 7972, 62067, 65482, 123736, 46244, 23174, 44779, 6, 4, 119055, 46646, 2205, 119055, 20961, 83957, 119718, 364, 15907, 5332, 26612, 54260, 2882, 137377, 23269, 36723, 21295, 6681, 220224, 2808, 9424, 238144, 2808, 16175, 75230, 4852, 35596, 7265, 364, 33809, 83182, 2882, 7508, 33809, 148346, 15350, 5332 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 64260, 6, 54260, 26612, 3131, 54260, 23269, 874, 124470, 5927, 20021, 6, 148346, 14004, 6, 124403, 46053, 6, 23173, 75230, 2702, 6, 61397, 33809, 156325, 4838, 3131, 2865, 54260, 1982, 109316, 5332, 4838, 23829, 364, 15907, 185758, 46601, 710, 149311, 74806, 167622, 12483, 4838, 7972, 148346, 12483, 6319, 33809, 4484, 6, 4, 7265, 36324, 115536, 8580, 6, 137218, 21733, 7265, 20315, 2050, 60980, 22426, 6, 4, 3069, 31467, 2050, 9424, 54260, 211169, 10339, 33809, 1211, 19024, 20260, 12483, 6, 4, 5332, 46646, 46601, 21292, 9174, 26632, 5332, 26612, 101328, 23405, 43178, 33809, 51723, 6681, 6, 48904, 33809, 18415, 48706, 148346, 4113, 6, 5, 13982, 14004, 5332, 2808, 211169, 9424, 54260, 2882, 6, 4, 220224, 49008, 137, 4852, 18167, 6428, 33809, 81455, 6235, 22492, 183216, 6, 4, 7265, 4231, 29060, 39293, 1644, 148346, 76632, 1211, 30795, 6, 4, 7265, 10676, 1470, 54260, 8903, 119132, 68248, 163139, 2808, 6, 124470, 9719, 2648, 4231, 27702, 121865, 4838, 710, 48904, 9221, 12483, 44917, 5666, 26394, 32887, 5666, 6, 4, 180141, 6, 148346, 2808, 36326, 23741, 176727, 2205, 21422, 1211, 3523, 40697, 22426, 2882, 16175, 5332, 12483, 155, 1644, 54260, 4852, 33809, 23405, 3056, 33960, 159696, 1211, 36324, 75230, 17824, 75230, 2702, 6, 4, 36324, 8947, 9174, 26632, 7746, 6235, 4113, 26632, 8580, 5332, 6, 29060, 192061, 33960, 189623, 41595, 7265, 182731, 2819, 6, 148222, 107117, 32184, 6655, 7746, 6, 46677, 54260, 13497, 5332, 75230, 26612, 7201, 33809, 1211, 16175, 75230, 4852, 216510, 70695, 49008, 2819, 10339, 33809, 1211, 76961, 220224, 146887, 6655, 18225, 42493, 137218, 2932, 8580, 8903, 21295, 6, 4, 46601, 21292, 149311, 2819, 6681, 6, 148222, 29434, 54260, 2808, 119055, 2808, 211169, 6, 4, 9424, 54260, 2882, 7369, 3056, 6, 29171, 33809, 51723, 5332, 192061, 7746, 2205, 220224, 1211, 4838, 54260, 6093, 8903, 60980, 36419, 3069, 31467, 2808, 6, 74004, 51723, 6235, 21733, 33809, 148346, 8580, 21374, 905, 26612, 3069, 31467, 506, 33809, 83182, 2882, 16175, 75230, 4852, 35596, 7508, 33809, 148346, 15350, 4, 46601, 21292, 6655, 1751, 75230, 1211, 163139, 35189, 3523, 100436, 12483, 2882, 41764, 33809, 1211, 64044, 8580, 2205, 6, 148222, 6, 71811, 6, 5, 6, 5, 6, 5, 238144, 2702, 54745, 1211, 123736, 148346, 6093, 4838, 96302, 3131, 6, 4, 119055, 46646, 6, 148346, 23829, 70845, 42572, 33809, 1211, 6, 54260, 50778, 1211, 29659, 54260, 2882, 705, 119055, 46646, 70845, 7369, 119718, 101503, 29060, 705, 6, 238144, 2702, 4838, 24621, 110970, 230764, 3523, 24295, 54260, 26612, 5332, 119055, 40096, 68313, 34076, 7682, 6, 4, 1470, 33809, 5666, 119055, 46646, 3056, 1470, 33809, 23405, 105330, 705, 6, 5, 710, 5, 6, 238144, 2702, 7369, 6, 4, 5332, 12483, 6, 12483, 3523, 47351, 15533, 18167, 32054, 65689, 6, 4, 1470, 33809, 5666, 119055, 12483, 6, 238144, 49008, 705, 6, 71577, 12130, 36324, 6, 4, 3523, 54260, 1211, 711, 153, 2442, 33809, 506, 24295, 6, 4, 220224, 6093, 7508, 33809, 506, 24295, 3056, 46601, 21292, 74806, 17410, 156325, 6, 148346, 54260, 1211, 22753, 22426, 2205, 26, 150349, 14004, 1644, 23269, 4, 230764, 220224, 1211, 6, 238144, 107581, 6, 148346, 29060, 15350, 6, 4, 1470, 75230, 2702, 24012, 148346, 29060, 7265, 41764, 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 ]
[ 137218, 26612, 25603, 40633, 107581, 21374, 16629, 16667, 2819, 6, 68558, 6235, 85465, 25207, 159696, 2882, 6, 4, 6681, 4838, 22492, 112690, 1211, 97483, 23269, 6235, 36909, 43178, 54260, 23829, 33809, 5666, 9424, 54260, 1644, 186797, 182731, 6, 4, 620, 145702, 7369, 182261, 1285, 6093, 74806, 2865, 92605, 4838, 4269, 33809, 18415, 17017, 29771, 30315, 6, 4, 145813, 2808, 138194, 8580, 182261, 70845, 7265, 220224, 1211, 3523, 83586, 2205, 113524, 6, 5, 4113, 12483, 6, 71577, 22426, 22426, 33809, 1211, 26612, 6093, 364, 77188, 163139, 2808, 10339, 54260, 8903, 44779, 22753, 183216, 6, 156443, 10069, 5666, 6, 4, 7369, 55242, 506, 2882, 119055, 75230, 6, 54260, 26612, 148346, 75230, 46685, 6, 148346, 116793, 12483, 6, 4, 145813, 45629, 10918, 1211, 6, 4, 6, 148222, 25933, 25207, 24621, 3944, 40920, 93975, 8248, 31467, 12483, 6, 148346, 26612, 2932, 41595, 4852, 54260, 2808, 7265, 11265, 4113, 64890, 50853, 65482, 3944, 148346, 4113, 43649, 51172, 54574, 12483, 6, 4, 1470, 33809, 5666, 6, 148222, 6, 148346, 28726, 18415, 17645, 22426, 5332, 26612, 26612, 10918, 2808, 46711, 7682, 171428, 6, 4, 220224, 2808, 52, 905, 29259, 14081, 12483, 1470, 33809, 5666, 117641, 8580, 4838, 45629, 22426, 711, 6, 5, 6, 5, 1054, 54745, 26612, 3523, 71577, 2702, 79100, 119718, 20961, 55242, 506, 2882, 2451, 729, 292, 39293, 506, 2882, 7369, 220224, 1211, 3944, 148346, 8580, 32899, 16932, 6, 4, 220224, 1211, 3944, 148346, 4113, 874, 33809, 16932, 6, 4, 220224, 2808, 4269, 54260, 12483, 70845, 64044, 6, 148346, 54260, 2808, 6, 4, 10339, 33809, 1211, 44917, 69106, 6, 238144, 2882, 6, 4, 4838, 3149, 6, 4, 163139, 2808, 7369, 119055, 158291, 220224, 2808, 6, 159696, 79981, 220771, 8580, 6, 4261, 4484, 33809, 16803, 4838, 905, 54260, 28726, 3069, 31467, 2808, 20033, 6, 4, 55242, 506, 2882, 874, 54260, 1211, 32054, 75230, 6, 5, 6, 5, 6, 5, 874, 54260, 1211, 6, 173967, 874, 54260, 1211, 3523, 105330, 6, 4, 2865, 54260, 1211, 19302, 54260, 2882, 6, 4, 874, 54260, 1211, 107117, 32184, 4, 711, 6, 5, 6, 5, 6, 5, 130745, 21292, 620, 145702, 180141, 6, 4, 7369, 109298, 2808, 109636, 2882, 7265, 6, 105439, 6, 4, 2205, 13804, 6293, 10918, 46685, 3056, 6, 105780, 82576, 2819, 2205, 10676, 4151, 148346, 14004, 16870, 45619, 1211, 21422, 46685, 119055, 2808, 33809, 220224, 1211, 2808, 33809, 15533, 6093, 8903, 60980, 22426, 36419, 43649, 54260, 2882, 6, 4, 364, 54260, 23405, 2882, 36324, 13845, 18415, 110970, 54260, 59461, 6, 76776, 40920, 1157, 2865, 22426, 6, 4, 119718, 46646, 6, 148346, 2442, 35596, 7265, 4838, 21733, 54260, 119132, 24012, 35189, 18640, 8580, 10339, 54260, 6093, 15350, 2819, 220224, 1211, 6428, 33809, 20260, 13845, 23847, 127684, 153796, 6, 4, 41764, 20961, 22426, 2882, 120202, 6, 4, 6, 148222, 33469, 46646, 20961, 6, 238144, 36419, 119055, 104274, 6, 4, 7265, 10676, 22426, 40096, 14081, 34882, 6, 4, 7265, 76961, 2702, 119055, 46646, 2205, 21422, 46685, 6235, 7916, 13497, 7746, 6, 4, 6428, 33809, 5666, 50931, 2932, 2932, 33809, 1211, 4231, 6681, 6, 148222, 19024, 30473, 8903, 9915, 47709, 30750, 3944, 47332, 18640, 4484, 54260, 2882, 6, 4, 55242, 506, 2882, 18225, 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, 2702, 2932, 54260, 186797, 4, 2808, 75230, 6293, 39384, 2808, 145813, 45631, 6, 223390, 6093, 6, 4, 220224, 6093, 4838, 40920, 1470, 33809, 5666, 67826, 1644, 6, 4, 4838, 28714, 110970, 149010, 54260, 2932, 25603, 5332, 1470, 33809, 1211, 4838, 80453, 75230, 12483, 6235, 29659, 158291, 6, 4, 10339, 33809, 1211, 1470, 54260, 1211, 21422, 46685, 2205, 9424, 238144, 2882, 33809, 1211, 6, 4, 29257, 2808, 6, 54260, 2932, 33809, 25207, 6, 23173, 148346, 29060, 6, 4, 22753, 2808, 6, 23093, 33809, 2882, 7265, 17824, 75230, 2702, 46654, 54260, 2702, 6, 4, 51328, 34076, 54260, 4667, 163139, 54595, 54260, 4231, 40096, 10676, 17824, 119273, 8580, 6681, 8903, 7511, 129891, 10339, 33809, 1211, 10676, 60631, 4484, 6, 5, 148222, 41764, 17171, 31467, 25207, 3056, 123736, 148346, 6093, 42493, 6319, 54260, 1211, 129165, 2865, 20315, 6, 4, 36324, 18225, 47567, 7746, 2932, 33809, 2882, 3069, 31467, 6319, 33809, 38249, 1054, 29060, 18225, 11265, 6, 148346, 14081, 2648, 4151, 134973, 12483, 6, 4, 36324, 24857, 9213, 6, 148222, 137218, 710, 26632, 6, 80146, 6, 21106, 54260, 1211, 6, 5, 6, 5, 6, 5, 22753, 2808, 3056, 9934, 115536, 230764, 74806, 22426, 64567, 12483, 10339, 33809, 1211, 11265, 148346, 29060, 15350, 5332, 8248, 31467, 22426, 132025, 2932, 21660, 75230, 129891, 9213, 148346, 4113, 19302, 54260, 35189, 6, 4, 6235, 3111, 31467, 51723, 10676, 14764, 212413, 10339, 33809, 1211, 54260, 17645, 5332, 49027, 4944, 12483, 220224, 6655, 6681, 1470, 75230, 2702, 6, 148346, 54260, 2808, 7746, 3069, 31467, 60980, 22426, 100810, 70845, 8903, 54260, 41595, 5332, 1470, 33809, 5666, 6655, 7746, 6235, 170098, 8580, 3523, 54260, 1211, 3069, 31467, 6, 148222, 1470, 54260, 168155, 23269, 60980, 36419, 2819, 2205, 54260, 17645, 26612, 6, 54260, 4852, 67826, 1644, 6, 4, 18225, 364, 77188, 51328, 6, 238144, 28726, 6, 238144, 4852, 220224, 1211, 74806, 28714, 112452, 54260, 71577, 5332, 11265, 6, 64260, 506, 33809, 2050, 6, 32670, 6, 4, 1470, 33809, 5666, 163139, 2808, 11265, 55202, 19302, 2808, 22426, 2882, 163139, 2808, 4838, 21733, 54260, 1211, 29771, 12483, 12483, 15096, 5332, 5, 710, 6, 80146, 43649, 54260, 2882, 6, 148346, 54260, 2808, 6, 148222, 78104, 46244, 1644, 10339, 33809, 1211, 60980, 36419, 22753, 2808, 163139, 1644, 6, 23173, 54260, 1211, 22426, 26612, 54260, 1211, 10676, 620, 21292, 13845, 6, 4, 51328, 7369, 3523, 7972, 56169, 7746, 6, 23173, 75230, 2702, 10339, 33809, 1211, 11265, 4113, 21422, 16932, 196332, 22426, 24295, 23269, 26612, 5332, 1470, 33809, 5666, 42493, 4838, 29659, 2808, 24152, 33809, 1211, 21374, 2808, 22426, 6, 4, 117641, 141943, 24295, 1470, 75230, 22426, 8580, 41764, 14081, 153, 6, 80146, 26612, 137218, 7265, 22518, 37016, 120202, 74806, 80453, 33809, 183216, 1470, 54260, 7511, 8903, 81414, 2882, 4838, 506, 41595, 6093, 6, 4, 11265, 6655, 26612, 710, 22426, 6235, 127731, 15907, 6, 4, 36324, 6, 148222, 14764, 212413, 6, 4, 163139, 1644, 22753, 2808, 42493, 117641, 129891, 6, 4, 22753, 2808, 163139, 71804, 119718, 26612, 6, 159696, 112452, 9356, 60071, 2702, 33809, 1211, 153, 51328, 6, 148346, 14081, 2648, 6655, 22753, 2808, 6, 21106, 54260, 1211, 74806, 2865, 54260, 44693, 125830, 46646, 2808, 119718, 20961, 6, 4, 363, 3120 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2451, 543, 292, 7201, 33809, 1211, 11265, 51328, 77928, 1211, 157401, 16562, 6, 4, 46601, 21292, 3056, 64890, 69106, 7508, 33809, 506, 18640, 74806, 17410, 22426, 33809, 1211, 4838, 4838, 137218, 192061, 230764, 6235, 506, 54260, 148346, 8580, 10676, 14764, 212413, 6, 4, 6, 23173, 54260, 1211, 6235, 22426, 59929, 2882, 2205, 108894, 33960, 8903, 22426, 8580, 8300, 238144, 2808, 29434, 54260, 12483, 198754, 2702, 6, 4, 4151, 49481, 29434, 54260, 2808, 130154, 2702, 6, 4, 1470, 33809, 5666, 6, 29060, 364, 15907, 7511, 8903, 148346, 12483, 4838, 29659, 20961, 75290, 4838, 506, 15350, 15949, 61397, 19302, 33809, 23405, 6, 5, 6, 5, 6, 5, 6681, 10676, 19302, 33809, 23405, 4231, 40096, 4852, 18167, 6, 80146, 49481, 28415, 163139, 2808, 40026, 6093, 4151, 22518, 34882, 8580, 6, 5, 6, 5, 6, 5, 11265, 6655, 22753, 22426, 67249, 115536, 36324, 46601, 21292, 105884, 2882, 153, 7369, 129165, 98833, 153, 1470, 33809, 5666, 2205, 1470, 146887, 5332, 4231, 40096, 4852, 18167, 46601, 21292, 9213, 148346, 6093, 6, 29171, 77188, 1470, 75230, 156325, 6, 26394, 54260, 146887, 21422, 2882, 6, 4, 1470, 33809, 42021, 40096, 5332, 109636, 2882, 155, 8903, 148346, 33809, 2442, 148346, 710, 21295, 4, 1470, 33809, 13497, 6093, 8580, 3523, 54595, 10339, 33809, 1211, 13804, 6293, 153, 6, 80146, 6655, 8248, 31467, 22426, 37189, 105235, 21295, 148346, 54260, 2702, 78104, 46244, 1644, 6, 4, 22753, 2808, 6655, 10676, 60980, 22426, 6, 23173, 54260, 1211, 6235, 148346, 75230, 129891, 2205, 4231, 22426, 2808, 54260, 23269, 8009, 6093, 49920, 186797, 36324, 7369, 69741, 2808, 109636, 2882, 163139, 35189, 6, 4, 6655, 22753, 2808, 8248, 31467, 4667, 4838, 33809, 22426, 2932, 33809, 17645, 98833, 8300, 33809, 2050, 60980, 36419, 6, 4, 10339, 33809, 1211, 140108, 8580, 6, 23173, 75230, 2702, 6235, 3111, 31467, 51723, 6, 4, 6, 148222, 4269, 48904, 26394, 182731, 5332, 6, 76776, 71804, 2808, 33809, 5666, 22753, 1644, 148346, 6093, 7265, 221895, 16175, 54260, 123073, 9174, 7201, 51220, 6, 5, 6, 5, 6, 5, 6319, 75230, 2050, 364, 15907, 4838, 137218, 7511, 186797, 2882, 6, 148222, 6, 23173, 148346, 29060, 6, 4, 6655, 22753, 2808, 6, 42021, 77188, 6, 4, 138, 6319, 33809, 2442, 26394, 41764, 710, 25046, 33809, 1211, 4838, 26612, 26612, 10339, 33809, 1211, 159696, 1644, 107581, 22753, 2808, 6655, 7746, 4151, 32054, 54260, 2882, 6, 4, 22753, 2808, 6655, 6235, 119718, 2808, 33809, 16803, 5332, 36324, 4838, 137218, 8300, 108264, 1644, 3056, 1751, 75230, 1211, 19024, 6, 5, 6, 5, 6, 5, 7369, 3056, 1751, 75230, 1211, 6235, 4484, 33809, 51723, 711, 9934, 115536, 4231, 40096, 4838, 137218, 23173, 75230, 2702, 6235, 99176, 2932, 8580, 11265, 4113, 41764, 37016, 44779, 10339, 33809, 1211, 43649, 33809, 148346, 6, 4, 9934, 101503, 4231, 40096, 6, 54260, 26612, 8903, 7916, 13497, 4838, 15231, 46244, 1644, 10339, 33809, 1211, 41764, 20961, 69859, 119132, 9174, 69859, 6, 4, 199145, 18225, 6319, 33809, 63532, 4838, 26612, 75230, 2882, 95766, 64890, 2702, 6, 4, 1470, 33809, 5666, 76961, 2702, 9213, 148346, 6093, 24012, 8903, 148346, 8580, 9424, 108264, 1644, 12483, 2819, 58826, 15907, 4838, 137218, 6, 54260, 710, 119718, 710, 35189, 6, 23173, 54260, 1211, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4, 6681, 3523, 33809, 51723, 11265, 4113, 6, 5, 6, 148346, 13159, 18415, 6, 4, 3523, 54260, 15231, 2932, 80885, 19302, 75230, 20315, 26612, 5332, 4838, 33809, 2882, 68313, 163139, 35189, 6, 23173, 75230, 2702, 10339, 33809, 1211, 43649, 33809, 148346, 6, 4, 9213, 148346, 6093, 6, 170098, 141943, 24295, 5332, 6, 21292, 81050, 4231, 29060, 23847, 75230, 149311, 1470, 54260, 2932, 65482, 2702, 119055, 46646, 22753, 2808, 6655, 3069, 31467, 6235, 3111, 31467, 51723, 10339, 33809, 1211, 6, 78683, 36419, 6, 71577, 26612, 26612, 75322, 115536, 4113, 6, 148346, 12415, 6293, 6, 4, 119055, 46646, 22753, 2808, 6655, 7265, 5, 6, 40096, 112711, 40026, 6093, 3069, 31467, 4269, 24295, 22426, 54260, 2882, 4838, 4838, 137218, 192061, 10676, 6, 148346, 12415, 6293, 6, 4, 2205, 6, 148222, 123736, 7201, 65482, 60980, 36419, 6, 4, 6, 148346, 21106, 2648, 10339, 33809, 1211, 10339, 26612, 54260, 13497, 8903, 170098, 8580, 6, 4, 7369, 47567, 70845, 6, 148346, 14081, 2648, 4151, 55242, 42023, 6, 4, 1470, 33809, 5666, 3056, 6, 23173, 75230, 2702, 41764, 33809, 1211, 6, 54260, 26612, 29659, 33809, 148346, 6, 4, 119055, 46646, 9424, 238144, 2882, 58826, 46244, 6655, 22753, 2808, 19024, 24012, 28726, 148346, 2882, 4838, 21847, 7682, 71804, 115518, 6, 57277, 2932, 5332, 119718, 46646, 22753, 2808, 6655, 19024, 6, 148346, 15533, 20616, 1211, 6, 148222, 3944, 40920, 93975, 8248, 31467, 1211, 7265, 6, 148346, 54260, 20315, 4838, 75230, 129891, 64769, 15907, 3069, 31467, 6, 74004, 129891, 6319, 75230, 119132, 6, 93704, 167622, 6, 4, 1470, 33809, 5666, 7746, 42493, 1470, 33809, 69708, 33809, 39340, 26612, 2884, 4838, 17645, 92605, 54260, 1211, 73256, 6, 4, 9424, 54260, 2882, 11265, 17190, 148346, 12483, 711, 26612, 7201, 54260, 29060, 17537, 4838, 64044, 202745, 6093, 10339, 33809, 1211, 76961, 220224, 146887, 6, 4, 7265, 6, 137218, 17645, 26612, 54260, 21292, 79100, 119718, 20961, 41764, 137218, 2451, 953, 292, 91163, 45521, 38054, 6, 4, 39484, 31467, 8580, 2205, 6, 148222, 10339, 171127, 123073, 112389, 2882, 6, 4, 4838, 159696, 4484, 6235, 7916, 33716, 80146, 1211, 6, 4, 7265, 6, 148222, 17824, 13159, 18415, 6, 211581, 2819, 22639, 4113, 238144, 110317, 3056, 24012, 39293, 149311, 9424, 108264, 1644, 4, 119718, 46646, 7369, 9174, 26632, 28415, 163139, 2808, 230764, 18906, 137218, 68558, 6235, 905, 101503, 11265, 6319, 33809, 51723, 2819, 6, 148222, 148346, 54260, 20315, 6235, 7972, 148346, 18415, 39484, 31467, 8580, 7746, 6, 143409, 1157, 5666, 5666, 6235, 4484, 33809, 16803, 6235, 506, 14081, 4852, 2882, 6, 4, 6, 148346, 15533, 4852, 54260, 54595, 54260, 49008, 6235, 4484, 33809, 51723, 3069, 31467, 2808, 4838, 21733, 54260, 23269, 48706, 112711, 42180, 6, 4, 19024, 39484, 31467, 8580, 220224, 2808, 1662, 6, 117397, 33809, 2882, 6235, 4113, 101503, 6, 4, 3056, 1470, 33809, 13497, 6093, 6235, 64044, 8580, 6, 92605, 33809, 12415, 6093, 6, 4, 2205, 119055, 13845, 211169, 4852, 54260, 2808, 39484, 31467, 8580, 7746, 6, 23173, 54260, 1211, 6235, 3149, 2808, 22426, 2882, 9174, 2808, 22426, 186797, 6, 4, 1470, 33809, 5666, 6, 148346, 15533, 22753, 148346, 8580, 6150, 54260, 61397, 2205, 35189, 40026, 506, 6, 4, 24012, 49008, 1285, 1751, 75230, 1211, 24012, 159696 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1211, 44917, 69106, 5332, 54260, 2882, 4231, 5, 617, 35189, 6, 148346, 12415, 6293, 6, 5, 30473, 148346, 8580, 6, 93704, 161459, 2205, 4151, 40026, 506, 6, 4, 1470, 54260, 1211, 1470, 75230, 2702, 6, 61397, 33809, 506, 16932, 6, 4, 1470, 54260, 1211, 2808, 75230, 2050, 74806, 17410, 22426, 114436, 6655, 6, 148346, 69596, 2702, 33960, 73381, 41595, 220224, 23269, 1470, 75230, 8903, 1211, 6, 4, 3069, 31467, 6, 74004, 51723, 2865, 33809, 2882, 4838, 3131, 109636, 21295, 109316, 10339, 33809, 1211, 10676, 48494, 122623, 2819, 2205, 21422, 46685, 6655, 6, 23173, 54260, 1211, 8903, 16629, 29060, 4838, 29659, 2808, 104238, 43649, 18866, 1644, 3944, 40920, 18640, 4484, 54260, 2882, 6, 4, 6, 148346, 33809, 65848, 2702, 1470, 75230, 8903, 1211, 220224, 49008, 8903, 22426, 21106, 2884, 230764, 6, 80146, 2702, 6, 148346, 29060, 15350, 6, 4, 70845, 6655, 6235, 3149, 29257, 29659, 119055, 46646, 22753, 2808, 3056, 7511, 2882, 364, 26612, 1470, 75230, 22426, 8580, 4269, 17190, 61397, 2819, 2205, 40026, 99403, 48340, 8580, 874, 62067, 15350, 3056, 6, 148346, 69596, 2702, 26612, 26612, 905, 33809, 2882, 4838, 119718, 22426, 8580, 64890, 2702, 6, 4, 7369, 6655, 6, 148346, 2808, 8903, 2932, 41595, 6, 148222, 115222, 211169, 6, 4, 6, 148222, 43649, 33809, 148346, 710, 143840, 2882, 5332, 6, 12483, 364, 15907, 9934, 75230, 2808, 33960, 22680, 4113, 98833, 6, 4, 6, 5, 85465, 148346, 8580, 220224, 2808, 33960, 39293, 42023, 6, 80146, 1211, 705, 22492, 26612, 220224, 26612, 39484, 31467, 8580, 1470, 75230, 4667, 42493, 33960, 39293, 42023, 2819, 8947, 3056, 6681, 6, 148346, 54260, 2808, 49481, 4838, 149364, 175221, 3131, 12483, 5332, 4838, 33809, 5666, 4838, 506, 14081, 148346, 97816, 6, 4, 46601, 21292, 6, 148346, 4113, 2808, 33809, 50856, 33809, 506, 41595, 7746, 6, 5, 6, 5, 6, 5, 7369, 6655, 23269, 26612, 75230, 2702, 33809, 1211, 6319, 33809, 4484, 2884, 6, 5, 6, 5, 6, 5, 8248, 31467, 211169, 6, 4, 55242, 42023, 6, 4, 1470, 33809, 5666, 18225, 6655, 1470, 75230, 2702, 6235, 4484, 33809, 20911, 6, 4, 26612, 75230, 26612, 6235, 4852, 33809, 13497, 1054, 1470, 75230, 2702, 24012, 39293, 42023, 22753, 2808, 3056, 42493, 19024, 711, 6, 5, 6, 5, 6, 5, 46601, 21292, 3056, 17171, 31467, 1644, 22426, 710, 5332, 5332, 119718, 59929, 9934, 21106, 24857, 6, 148346, 16870, 54260, 146887, 711, 4, 129165, 98833, 7369, 6, 148346, 14004, 7746, 6, 148346, 14004, 1285, 710, 143840, 80264, 4231, 7369, 16175, 75230, 16803, 6, 73381, 171428, 76961, 1157, 122623, 6, 4, 18225, 6655, 6, 142170, 22426, 41595, 6, 4, 51328, 4113, 26612, 26612, 33809, 2882, 41764, 33809, 506, 21295, 36324, 7369, 60980, 1211, 2205, 43649, 33809, 148346, 42493, 6, 23173, 54260, 1211, 3523, 54260, 1211, 6, 4, 6, 68558, 11265, 6, 68558, 54260, 1211, 4838, 119718, 2050, 47351, 1054, 7369, 4151, 874, 62067, 7746, 6, 4, 36324, 18225, 147062, 11265, 8248, 31467, 211169, 6, 4, 2205, 2451, 3373, 79100, 119718, 20961, 6, 148222, 2451, 387, 292, 148222, 221895, 21422, 46685, 8580, 6, 4, 7369, 3523, 54260, 2882, 6, 23173, 54260, 1211, 2205, 6, 150349, 14004, 1644, 23269, 6, 4, 41764, 33809, 1211, 5332 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26612, 710, 146887, 95766, 220224, 1211, 134973, 174410, 6, 4, 119055, 2808, 33809, 6, 5, 148222, 60980, 36419, 43649, 54260, 2882, 6, 4, 7369, 4151, 55242, 506, 2882, 6, 54260, 40096, 5594, 2442, 1644, 3056, 123736, 55823, 1211, 6, 148222, 14764, 212413, 43649, 87442, 22639, 4113, 238144, 110317, 153, 27702, 506, 15907, 364, 54260, 25222, 8903, 148346, 8580, 4838, 8903, 25391, 54260, 42493, 7265, 220224, 1211, 52059, 292, 8300, 59094, 12130, 711, 4484, 1470, 33809, 5666, 3069, 31467, 22426, 16175, 75230, 26612, 25222, 35044, 29659, 2819, 8947, 3056, 6235, 33353, 8580, 6, 23173, 79238, 6, 4, 4838, 8903, 25391, 54260, 10339, 33809, 1211, 6, 148222, 6, 54260, 16667, 146887, 5332, 13159, 220224, 49008, 6235, 4484, 33809, 51723, 76961, 18906, 13381, 448, 6, 4, 18225, 9174, 26632, 70845, 6, 148346, 14081, 2648, 3069, 31467, 39384, 22426, 8903, 148346, 2442, 115536, 6, 4, 1470, 33809, 5666, 46601, 21292, 6655, 7746, 34076, 54260, 4667, 6235, 119718, 20961, 156325, 3069, 31467, 2808, 6428, 59929, 182731, 2451, 155, 506, 33809, 83182, 2882, 16175, 75230, 4852, 35596, 7508, 33809, 148346, 15350, 711, 874, 54260, 1211, 44917, 57619, 6093, 1470, 54260, 8903, 16667, 711, 905, 364, 15907, 27702, 54260, 2882, 119718, 710, 35189, 1470, 75230, 2702, 74806, 12415, 12483, 6, 4, 8903, 148346, 186797, 4838, 145168, 1470, 75230, 156325, 41764, 14081, 6, 4, 7746, 3523, 54260, 36419, 5927, 24295, 148222, 68889, 6, 33225, 60980, 22426, 6, 4, 1470, 33809, 5666, 7265, 6, 148222, 10339, 75230, 73215, 1211, 7746, 13804, 8903, 16747, 33104, 5332, 4838, 4838, 155, 54561, 1644, 12130, 204982, 20033, 120202, 874, 54260, 1211, 182731, 6, 4, 15907, 874, 54260, 1211, 6, 80146, 1211, 106, 4, 18225, 58826, 96256, 448, 230764, 6235, 506, 54260, 148346, 8580, 10339, 33809, 1211, 4151, 7369, 2648, 6, 4, 1470, 33809, 5666, 7369, 3056, 163139, 35189, 3069, 31467, 195054, 71577, 8580, 8300, 33809, 2808, 6, 148222, 657, 54260, 196332, 60980, 36419, 6, 4, 141107, 10676, 73256, 6655, 7369, 4151, 5332, 20616, 1211, 26612, 171665, 12415, 6293, 6, 4, 1470, 33809, 5666, 6655, 70845, 4838, 3149, 2808, 22426, 4269, 71512, 148346, 8580, 6, 4, 6, 148346, 14081, 2648, 37826, 7369, 6, 17645, 92605, 62067, 6, 80146, 2702, 41764, 5, 1982, 1470, 75230, 156325, 4838, 13982, 13159, 6, 4, 7369, 9174, 26632, 74806, 119718, 710, 152848, 142170, 22426, 33809, 13497, 5332, 2808, 33809, 5666, 132025, 8903, 506, 54260, 148346, 8580, 657, 54260, 171428, 117641, 8903, 16747, 13159, 152, 37271, 148346, 69596, 2702, 6, 20971, 148346, 14236, 6428, 33809, 2808, 119055, 119273, 657, 54260, 171428, 874, 54260, 1211, 6, 148346, 12415, 6293, 6, 4, 119055, 13845, 9213, 148346, 1751, 75230, 1211, 34654, 1211, 22492, 69106, 6, 238144, 2882, 2819, 6255, 6, 148346, 8580, 4838, 159696, 4484, 10339, 33809, 1211, 124724, 6, 4, 6, 238144, 1644, 20033, 2205, 3069, 31467, 26612, 1751, 159696, 26612, 25222, 159696, 1211, 6, 4, 220224, 1211, 7265, 124724, 6, 4, 6681, 15864, 64310, 33716, 6, 5, 6, 5, 6, 5, 46440, 17645, 6, 71577, 21106, 36326, 137218, 28726, 87583, 33809, 2808, 47567, 16803, 874, 54260, 49008, 36324, 874, 54260, 1211, 3523, 83586, 874, 54260, 1211, 55202, 6, 66313, 77188, 4231, 75230, 5332 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4838, 33809, 123145, 1211, 123736, 18630, 7611, 6, 4, 5, 3056, 22753, 2808, 6, 238144, 16932, 10339, 33809, 1211, 124724, 84087, 28415, 6, 4, 6, 238144, 9213, 22426, 6, 148346, 8580, 14004, 56169, 6, 238144, 2882, 10339, 33809, 1211, 124724, 2819, 874, 54260, 1211, 55202, 6, 66313, 77188, 1751, 75230, 1211, 10339, 33809, 1211, 6, 76776, 25222, 6, 71804, 23405, 5332, 2808, 54260, 119132, 4838, 83182, 8580, 711, 6255, 6, 238144, 2702, 6, 4, 6, 148222, 200795, 9424, 54260, 2882, 119055, 29060, 6, 54260, 26612, 6, 148346, 8580, 4852, 54260, 6093, 1751, 159696, 2442, 6, 4, 6, 5, 4852, 54260, 6093, 1470, 33809, 24621, 158548, 6, 4, 51328, 6428, 33809, 2808, 5332, 159696, 16803, 22753, 22426, 6, 148346, 33809, 710, 28726, 22426, 238144, 1211, 64044, 6235, 149311, 230764, 20033, 4, 1470, 33809, 5666, 119055, 119273, 20033, 19024, 20260, 12483, 6681, 874, 54260, 1211, 120202, 43178, 22426, 71577, 4484, 75230, 57277, 2808, 75230, 148346, 6428, 33809, 1054, 119273, 6, 159696, 79981, 11265, 4269, 28320, 6, 4, 119055, 13845, 6255, 2205, 24012, 4944, 244640, 8580, 1285, 26612, 3069, 31467, 1751, 33809, 112452, 2808, 54260, 1211, 6, 93704, 25207, 36419, 2819, 6255, 39484, 31467, 6, 148346, 54260, 2808, 124724, 6235, 3111, 31467, 51723, 364, 33809, 152848, 15907, 16175, 75230, 1211, 6, 24295, 22426, 22426, 79100, 119718, 20961, 6, 238144, 1644, 2451, 952, 6428, 33809, 148346, 15350, 97995, 54260, 15231, 182731, 6, 4, 9174, 7201, 51220, 49481, 230764, 4838, 6, 105780, 6293, 16175, 75230, 4852, 35596, 7508, 33809, 148346, 1644, 6, 4, 141353, 17748, 2882, 123736, 148346, 6093, 42493, 6681, 6235, 149311, 6, 4, 163139, 2808, 84087, 32054, 54260, 2648, 6, 4, 163139, 2808, 84087, 64044, 8903, 7511, 28320, 6, 4, 163139, 2808, 84087, 6, 5927, 609, 9174, 2808, 148346, 6255, 124724, 6681, 3131, 145702, 6681, 6, 148222, 8300, 3111, 54260, 2808, 58826, 46244, 6, 4, 8947, 60980, 1211, 220224, 1211, 36324, 6, 148222, 6, 80453, 54260, 4852, 6, 4, 3056, 4838, 148346, 710, 21087, 28726, 3069, 31467, 43590, 75230, 4667, 6, 4, 3069, 31467, 17824, 75230, 2702, 2819, 51328, 51328, 6, 29766, 46598, 6, 148346, 15533, 2882, 6428, 33809, 42493, 6235, 148346, 7972, 148346, 8580, 6, 4, 6428, 33809, 185143, 22492, 4667, 4838, 96743, 4667, 6, 4, 1285, 4113, 4113, 30109, 16870, 710, 174410, 8580, 6, 159696, 79981, 7265, 32054, 54260, 2648, 6, 101470, 387, 21374, 5, 64044, 10676, 7508, 33809, 148346, 1644, 292, 163139, 149311, 47567, 16803, 6428, 33809, 6, 4, 36324, 6255, 39484, 31467, 124724, 42493, 6681, 148346, 710, 146887, 230764, 4838, 148346, 13159, 6093, 8580, 4838, 36326, 61397, 8580, 10339, 33809, 1211, 4231, 124724, 6, 4, 51328, 230764, 874, 54260, 1211, 8903, 3131, 119718, 20961, 65482, 2050, 6235, 7972, 148346, 96986, 7369, 29659, 8580, 3373, 46053, 6, 4, 119055, 46646, 10676, 97483, 5666, 10339, 33809, 1211, 1470, 33809, 54561, 6093, 9183, 33809, 5927, 22753, 49008, 9934, 2648, 3069, 31467, 34654, 149311, 6235, 119718, 69596, 1211, 6, 5, 6681, 6, 119132, 230764, 6428, 54260, 1211, 6, 148346, 37016, 62067, 4113, 6, 4, 145168, 36326, 1470, 33809, 5666, 1470, 33809, 5666, 6235, 23822, 54260, 4113, 6, 80146, 4, 6, 5, 40096, 112711, 15857, 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 ]
[ 4838, 2932, 115536, 3056, 46601, 21292, 1470, 33809, 2865, 154739, 110856, 1211, 9213, 148346, 6093, 8580, 21422, 46685, 6, 4, 2865, 33809, 2882, 52059, 850, 6, 4, 7265, 6, 148346, 12415, 850, 6, 4, 7265, 4838, 45629, 159696, 51172, 710, 10339, 33809, 1211, 4838, 8903, 4484, 75230, 28726, 96986, 29771, 710, 36419, 4151, 49481, 710, 68313, 7369, 6235, 145168, 8580, 2205, 7265, 8580, 21422, 46685, 6, 4, 163139, 2808, 59929, 22492, 22426, 6, 4, 8903, 22426, 7972, 148346, 8580, 3944, 129891, 6, 68558, 110573, 2702, 6, 4, 6, 68558, 17190, 148346, 12483, 5, 2819, 7369, 9174, 26632, 42493, 221387, 6, 4, 1470, 33809, 5666, 7511, 2882, 33960, 39293, 121740, 6, 4, 119055, 6093, 8947, 6655, 70845, 230764, 6235, 506, 75230, 148346, 8580, 6, 4, 119055, 6093, 8947, 6655, 24390, 230764, 6, 109995, 6, 148346, 29060, 15350, 6, 195054, 41595, 2819, 305, 119055, 2808, 15949, 3056, 7369, 120202, 2932, 147713, 710, 2205, 148222, 1751, 57277, 24152, 80885, 364, 45631, 30109, 54260, 20260, 2819, 51328, 4151, 49481, 6655, 7369, 24012, 73381, 41595, 148222, 1470, 75230, 129891, 4, 6, 148346, 21292, 28726, 16878, 54260, 4852, 3056, 7369, 6235, 4484, 33809, 51723, 3069, 31467, 7746, 6, 4, 6, 148346, 710, 35044, 91595, 54260, 4852, 6655, 12483, 8248, 31467, 4667, 132025, 8903, 3149, 54260, 148346, 8580, 4151, 874, 226976, 119055, 2808, 33809, 7369, 3056, 6, 4, 1470, 33809, 5666, 1054, 46646, 7265, 70845, 506, 15907, 7746, 120202, 6235, 15231, 42023, 2819, 9424, 238144, 2808, 73880, 9424, 54260, 2882, 6655, 6235, 2648, 75230, 77188, 6, 4, 148346, 8580, 46601, 21292, 3373, 26632, 6235, 4484, 62067, 4838, 45629, 22426, 6, 54260, 1211, 10339, 33809, 1211, 21422, 1211, 57906, 4113, 61397, 6, 4, 1470, 33809, 2865, 2932, 54260, 1211, 26612, 710, 148346, 6093, 8580, 43649, 33809, 148346, 6, 5, 6, 35596, 149364, 8580, 1054, 46646, 18225, 129165, 98833, 70845, 220771, 8580, 119055, 46646, 7369, 119718, 15350, 6, 5, 1470, 5, 9934, 5, 119055, 5, 6, 5, 148346, 48350, 115536, 1285, 49008, 6681, 6, 148346, 14004, 49481, 9424, 238144, 73880, 9424, 54260, 2882, 6, 4, 6, 148346, 69596, 2702, 95766, 41764, 34882, 46985, 2050, 6235, 4852, 33809, 16747, 6, 4, 1470, 33809, 5666, 199250, 874, 33809, 4852, 18225, 874, 56401, 220224, 1211, 6, 4, 36324, 7369, 3056, 35189, 55242, 1644, 148346, 161459, 6, 4, 4151, 40026, 6093, 2648, 161459, 46601, 21292, 2819, 112389, 8580, 30109, 54260, 20260, 3056, 22426, 26612, 710, 4838, 21292, 23050, 148346, 7972, 148346, 8580, 6, 75322, 17800, 3131, 3149, 33809, 17800, 2819, 6, 124470, 9719, 2648, 22753, 56169, 7369, 6, 21106, 54260, 1211, 6, 4, 874, 54260, 4944, 57277, 75230, 2050, 123736, 43178, 16629, 1211, 6, 4, 21934, 7369, 4838, 177282, 75230, 23741, 10339, 33809, 1211, 76961, 51723, 6, 4, 44917, 5666, 26394, 193012, 6, 5, 96743, 96256, 33353, 7265, 2451, 952, 4269, 144754, 3523, 91595, 6, 4, 22753, 56169, 7369, 6428, 33809, 81455, 6681, 1470, 33809, 46685, 2882, 6, 4, 6681, 9934, 20961, 64260, 6, 4, 6319, 33809, 20911, 7511, 2882, 1470, 75230, 156325, 4269, 40697, 23741, 6, 4, 6, 148222, 18906, 13381, 448, 6, 23093, 33809, 12483, 119055, 46646, 220224, 2882, 163139, 1644, 33809, 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 ]
[ 64769, 33809, 18415, 7369, 149010, 115556, 8580, 119055, 46646, 220224, 2808, 163139, 79981, 2819, 4151, 6, 238144, 28726, 220224, 49008, 1470, 33809, 13497, 12483, 8903, 4484, 33809, 51723, 52, 16932, 9719, 49008, 4, 6, 148346, 14004, 6, 240858, 448, 2190, 5666, 2205, 6, 148222, 6, 148346, 54260, 20260, 6, 4, 6, 29060, 2205, 8903, 119718, 69596, 1211, 4838, 20632, 26394, 4484, 33809, 6, 4, 18225, 3056, 6235, 4484, 33809, 51723, 7265, 657, 34533, 8580, 18225, 4231, 40096, 21106, 13159, 120202, 74806, 12415, 148346, 8580, 6, 4, 76961, 2702, 6681, 6319, 75230, 23741, 6, 4, 6681, 125979, 6, 84577, 4231, 15622, 26612, 240858, 448, 3056, 132025, 8903, 4484, 33809, 51723, 3069, 31467, 2808, 757, 60980, 22426, 7682, 13159, 6681, 8580, 7508, 33809, 22426, 8580, 5332, 6, 137218, 23093, 54260, 16803, 6, 4, 20033, 7243, 6, 4, 124724, 7243, 711, 51328, 46601, 21292, 6655, 6235, 49008, 4231, 29060, 2932, 20961, 42493, 150764, 6, 4, 7369, 6655, 74806, 119718, 45619, 1211, 6, 4, 1470, 33809, 5666, 6235, 2882, 48775, 15907, 5332, 1054, 26612, 6093, 3056, 6235, 148346, 7972, 148346, 8580, 895, 141943, 1470, 33809, 5666, 6, 29766, 46598, 6, 5, 1470, 33809, 5666, 17288, 4944, 16803, 4838, 33809, 5666, 5666, 7972, 21733, 33809, 22426, 5332, 54260, 1211, 18367, 506, 90653, 506, 6655, 6, 18167, 6681, 180141, 2882, 10339, 33809, 1211, 169532, 3069, 31467, 2808, 6, 57277, 2932, 84977, 2882, 1470, 54260, 1211, 4838, 45629, 22426, 6235, 17410, 39293, 8903, 2050, 60980, 22426, 10339, 147713, 2882, 7369, 137, 80453, 2808, 4667, 104149, 2932, 4838, 54260, 4113, 93704, 23829, 64890, 2702, 149311, 6, 4, 6681, 8248, 31467, 20260, 12483, 2205, 62400, 850, 6, 5, 6, 5, 6, 5, 364, 15907, 119055, 6093, 10339, 33809, 1211, 31177, 83811, 6, 4, 70845, 33960, 8903, 148346, 12483, 8947, 149311, 6, 4, 81414, 20260, 12483, 6, 4, 6655, 7369, 6235, 3111, 31467, 51723, 6, 176727, 6, 4, 6655, 7369, 42493, 33960, 148346, 29060, 8580, 2819, 2205, 33960, 4944, 12483, 3056, 6235, 119718, 69596, 1211, 6, 119312, 4838, 33716, 95766, 6, 148346, 2754, 71612, 125810, 6, 4, 4151, 49481, 2205, 6, 23093, 17800, 67826, 148346, 13845, 2819, 4151, 3523, 71577, 7201, 147713, 8580, 6, 238144, 36419, 69512, 29171, 13159, 70845, 64890, 4667, 657, 75230, 156325, 2205, 6, 148222, 64890, 149311, 106, 4231, 4838, 35189, 49481, 3056, 7369, 1470, 33809, 2865, 8903, 22492, 183216, 30109, 33809, 20616, 6, 148346, 1644, 33809, 29771, 506, 6, 4, 230764, 7508, 54260, 1211, 42572, 33809, 2702, 40096, 51172, 194734, 6, 4, 230764, 6, 148222, 9424, 238144, 2808, 18415, 4838, 8300, 33809, 12415, 36419, 8903, 4, 212911, 76526, 6, 5, 6, 5, 4151, 6, 76776, 710, 5332, 68313, 7369, 33960, 119718, 69596, 1211, 6, 59929, 31249, 6681, 51963, 620, 91595, 4113, 22753, 107829, 8903, 193012, 3131, 2884, 4838, 75322, 33809, 49268, 148346, 15350, 2442, 4, 6681, 76961, 1751, 200651, 26394, 51328, 4113, 36326, 99535, 121865, 905, 4, 119055, 23173, 1054, 26612, 54260, 54260, 1211, 7511, 2882, 36324, 4269, 26632, 83066, 2882, 6, 148222, 6, 159696, 21295, 6, 5, 6, 5, 6, 5, 119055, 46646, 874, 54260, 49008, 36324, 3523, 23173, 4838, 26612, 17645, 26612, 148346, 2442, 98071, 38596 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 54260, 2882, 6, 4, 6655, 220224, 7508, 54260, 4667, 1470, 33809, 5666, 34076, 7682, 32792, 185000, 711, 119055, 46646, 6, 238144, 54260, 1211, 42493, 165592, 4151, 6, 49268, 95564, 42572, 33809, 1211, 182731, 1470, 33809, 5666, 110573, 61722, 6, 4, 6, 148346, 15533, 6, 29766, 141564, 54260, 2882, 4838, 33809, 5666, 1751, 183512, 5332, 68313, 42493, 28415, 163139, 2808, 1470, 54260, 1211, 145813, 17537, 6, 5, 2702, 79100, 119718, 159870, 905, 26612, 2451, 1105, 292, 5, 758, 148222, 41764, 20961, 117641, 4484, 6, 5, 95766, 1470, 54260, 119132, 10339, 33809, 1211, 6, 148222, 7508, 54260, 4944, 80885, 6655, 13845, 8580, 6, 4, 2205, 6, 148222, 17824, 75230, 36419, 159696, 21295, 6235, 65606, 188201, 43649, 69859, 2882, 292, 6, 111506, 17537, 6, 4, 2205, 6, 23173, 54260, 4667, 1470, 75230, 2702, 6, 5, 6235, 22426, 33809, 56169, 8580, 10918, 46685, 10339, 33809, 1211, 116, 710, 146887, 43649, 34882, 4, 9934, 98071, 56169, 4838, 3131, 54260, 23269, 6, 54260, 8903, 19024, 24621, 220224, 6093, 6681, 77014, 189583, 2808, 33809, 1211, 6681, 6, 36723, 98833, 2819, 11265, 4113, 1751, 54260, 23269, 1470, 75230, 8903, 1211, 220224, 49008, 163139, 2808, 7508, 75230, 2882, 44779, 10339, 33809, 1211, 238144, 49008, 6, 4, 11265, 4113, 48494, 39293, 6, 148346, 34882, 8580, 220224, 8903, 1211, 49481, 10339, 54260, 40920, 10339, 33809, 1211, 46711, 6093, 8580, 2819, 51328, 148346, 21106, 2648, 6655, 22753, 2808, 1470, 75230, 2702, 6235, 13982, 54260, 2882, 11265, 41764, 12130, 3069, 31467, 2050, 78104, 46244, 6, 4, 119055, 13845, 107581, 6655, 4852, 18167, 7265, 21776, 3131, 33960, 73381, 41595, 6, 4, 1470, 33809, 2932, 2205, 21422, 46685, 3056, 6, 5, 6, 23173, 54260, 1211, 6235, 4484, 33809, 51723, 26612, 710, 33809, 23405, 6093, 6, 133111, 24012, 23173, 63593, 2882, 7265, 4838, 22680, 75230, 43178, 10918, 46685, 6, 4, 119055, 46646, 3056, 7265, 4838, 167305, 144295, 84475, 49481, 28415, 895, 16932, 10339, 33809, 1211, 70845, 2819, 42493, 220771, 141943, 24295, 6, 148346, 54260, 2050, 6, 23173, 54260, 1211, 4484, 33809, 51723, 4838, 2932, 33809, 2882, 874, 48340, 8580, 6, 4, 84475, 4838, 2932, 26632, 45223, 6293, 6, 4, 6655, 4151, 4231, 33809, 23405, 6093, 126837, 26612, 25222, 35189, 33960, 39293, 56169, 220224, 1211, 6, 148346, 112711, 1644, 54260, 16932, 8580, 230764, 4838, 29659, 33809, 1644, 6, 4, 220771, 186797, 152, 52, 168892, 119132, 874, 54260, 1211, 7508, 54260, 39293, 97483, 3131, 6, 4, 1470, 33809, 5666, 20033, 6681, 8580, 120202, 10339, 33809, 1211, 6, 111506, 17537, 4, 711, 6, 5, 6, 5, 2451, 155, 14004, 46244, 6, 150271, 120202, 6, 4, 1470, 33809, 5666, 6255, 705, 6, 5, 6, 5, 6255, 47567, 19024, 9213, 148346, 6093, 54260, 2808, 364, 54260, 168155, 1470, 33809, 2865, 2932, 54260, 1211, 705, 6, 5, 6, 5, 6, 5, 6, 5, 6655, 6, 148222, 4231, 33809, 5666, 8903, 1751, 54260, 23269, 32054, 75230, 7265, 4838, 8300, 33809, 148346, 45629, 4944, 12483, 85465, 71945, 33960, 74004, 98833, 6, 4, 2808, 33809, 1211, 6, 40096, 54260, 4667, 46711, 6093, 8580, 39484, 31467, 8580, 7746, 6, 23173, 75230, 2702, 6235, 22492, 149311, 10339, 33809, 1211, 11265, 4113, 1470, 75230, 8903, 1211, 6, 5, 12890, 168892 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 60980, 1211, 124724, 204982, 45223, 156325, 153, 6, 23093, 33809, 163139, 2808, 6428, 33809, 2808, 163139, 1644, 16803, 1054, 5, 2451, 182261, 364, 54260, 16803, 6428, 33809, 20033, 97483, 42023, 6, 5, 163139, 2808, 6255, 163139, 1644, 6, 4, 51328, 40026, 6093, 23829, 15907, 6428, 33809, 20033, 6235, 506, 54260, 149311, 97483, 42023, 163139, 2808, 6428, 33809, 2808, 163139, 1644, 16803, 6, 5, 6, 5, 6, 5, 6, 238144, 1644, 6428, 33809, 43590, 59929, 2882, 6235, 119718, 2808, 33809, 16803, 36324, 6255, 119055, 13845, 39484, 31467, 8580, 4838, 96743, 4667, 182731, 1468, 6, 5, 6428, 33809, 2808, 119055, 119273, 16580, 49008, 17190, 148346, 12483, 4838, 97594, 144581, 211169, 169532, 6, 5, 6, 5, 1468, 6428, 33809, 2808, 185143, 20033, 6681, 83066, 2882, 6, 4, 506, 33809, 2808, 58826, 16803, 24012, 22426, 16932, 2882, 6681, 9424, 238144, 58826, 46244, 9424, 54260, 2882, 6, 4, 36324, 2808, 17824, 75230, 149311, 6681, 24621, 2932, 8580, 4, 26612, 2932, 112711, 26394, 46855, 33809, 14325, 6, 4, 182261, 36324, 364, 33809, 2808, 185143, 20033, 1470, 75230, 2702, 6235, 4852, 75230, 129891, 6, 4, 1470, 75230, 2702, 8903, 3131, 2865, 34882, 26394, 2882, 163139, 2808, 4151, 145813, 8580, 6, 148222, 123736, 25207, 24621, 147582, 2932, 6, 4, 182261, 9174, 192900, 364, 33809, 54595, 710, 22426, 120202, 6235, 4852, 33809, 40920, 1470, 54260, 1211, 4838, 83182, 147582, 2932, 6, 4, 1470, 33809, 5666, 20033, 119055, 20961, 17748, 2882, 364, 33809, 2808, 2205, 54260, 146887, 6, 448, 6, 4, 2205, 7265, 8580, 6, 159696, 21295, 6, 4, 6, 68558, 4838, 80453, 33809, 23093, 6, 4, 6, 68558, 6, 148346, 37016, 62067, 4113, 6, 4, 6, 109316, 115666, 79100, 119718, 20961, 163139, 2808, 2451, 744, 292, 119718, 23829, 10339, 33809, 1211, 4838, 29659, 54260, 1211, 6, 5, 6, 5, 6, 5, 88771, 4, 20033, 6319, 33809, 63532, 36324, 75230, 6, 4, 6255, 39484, 31467, 10676, 41764, 95564, 171665, 25391, 6681, 2648, 41595, 2819, 6255, 39484, 31467, 42493, 6235, 141353, 23741, 7746, 132025, 23822, 75230, 12483, 4838, 153796, 21106, 26632, 17537, 6, 4, 4838, 127731, 36258, 165354, 9915, 54260, 35189, 4231, 33809, 23405, 6, 4, 4838, 3131, 171665, 14303, 6, 4, 7265, 4838, 171665, 1644, 148346, 905, 29171, 5332, 6, 5, 168892, 39484, 31467, 6, 5, 6, 5, 6, 5, 30473, 2808, 6655, 6235, 119718, 158291, 49481, 5332, 22426, 13159, 220771, 8580, 6, 4, 51328, 163139, 2808, 4838, 105235, 14088, 119718, 710, 16747, 6, 4, 6655, 7746, 4151, 4231, 33809, 23405, 6093, 6, 133111, 4838, 3149, 2808, 22426, 33960, 8903, 148346, 8580, 10339, 33809, 1211, 220224, 1211, 43649, 33809, 54574, 8300, 33809, 2808, 657, 75230, 7201, 186797, 3069, 31467, 6, 148222, 4231, 33809, 5666, 8903, 19024, 24621, 7265, 4838, 119718, 15350, 20315, 6, 29025, 68905, 2819, 11211, 16932, 1470, 75230, 2702, 74806, 12415, 12483, 152, 6, 26, 2648, 33809, 874, 121865, 39340, 6428, 33809, 2808, 6681, 6, 141353, 148346, 65482, 32054, 75230, 106, 364, 33809, 2808, 2808, 75230, 2702, 119055, 2808, 33809, 63020, 711, 20033, 7508, 33809, 17748, 2882, 6428, 33809, 110573, 1644, 6, 148346, 905, 29171, 705, 44917, 124724, 6428, 54260, 1211, 657, 75230, 1211, 4, 106, 6, 5, 4231, 106 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 64044, 6, 148222, 68889, 6, 4, 6655, 7369, 22753, 2808, 4838, 186565, 7611, 24012, 8903, 148346, 8580, 1470, 75230, 156325, 41764, 14081, 6, 4, 16175, 33809, 2882, 4852, 54260, 23269, 10339, 75230, 73215, 1211, 6655, 7369, 11265, 6235, 29659, 75230, 149311, 6, 4, 6, 29171, 22492, 146887, 163139, 2808, 18225, 121193, 29060, 148346, 2442, 75230, 2882, 6, 4, 7369, 6655, 11265, 3069, 31467, 2808, 6, 130734, 29060, 3069, 31467, 620, 64567, 8580, 6, 4, 6, 148346, 2442, 75230, 1211, 6, 68558, 6, 148346, 71804, 93975, 101296, 40920, 2819, 1470, 33809, 5666, 36324, 6, 148222, 1470, 33809, 23405, 105330, 149010, 6655, 33960, 30946, 29659, 3069, 31467, 2050, 16175, 119718, 2648, 5332, 6, 137218, 16932, 4838, 45629, 22426, 6235, 8300, 75230, 2932, 8580, 10339, 33809, 1211, 11265, 4113, 6, 223390, 6093, 6, 148222, 141879, 44917, 12666, 65482, 223390, 6093, 44779, 6, 4, 7265, 6, 148222, 141879, 6, 148346, 710, 21087, 28726, 7544, 69106, 119055, 46646, 7369, 6655, 2200, 11265, 4113, 92605, 4113, 36326, 8903, 8903, 7201, 49008, 6, 4, 6655, 7369, 3069, 31467, 6235, 3111, 31467, 51723, 6, 4, 1470, 33809, 5666, 3056, 7265, 220224, 1211, 3523, 75230, 4113, 195054, 148346, 18415, 4838, 159696, 4484, 6, 4, 7369, 8903, 7611, 17190, 148346, 12483, 6, 4, 163139, 35189, 32054, 54260, 149010, 193012, 16175, 33809, 2882, 5666, 91595, 6, 5, 292, 26612, 4944, 20961, 97816, 3056, 6, 80146, 57906, 76632, 1211, 1470, 75230, 156325, 41764, 14081, 6, 4, 6, 148346, 15533, 220224, 37826, 2932, 7682, 62067, 7746, 6, 105235, 79981, 230764, 11265, 4113, 6, 131445, 6, 4, 1470, 33809, 5666, 6, 148346, 2442, 54260, 183216, 11265, 4113, 6235, 181692, 165354, 95766, 6, 29766, 20315, 3111, 31467, 23405, 6, 5, 6, 5, 6, 5, 2451, 155, 8903, 3111, 31467, 2932, 6, 4, 6255, 6, 148346, 8580, 1751, 75230, 1211, 874, 54260, 16667, 4838, 148346, 710, 212413, 120202, 6235, 4484, 33809, 51723, 106, 4, 710, 40096, 30473, 2808, 7265, 7746, 4269, 9221, 16870, 2882, 182261, 874, 33809, 4852, 6255, 55242, 42023, 6, 4, 7265, 6, 148222, 141879, 112216, 1211, 506, 33809, 83182, 2882, 7508, 33809, 148346, 15350, 6, 4, 119055, 46646, 6255, 6, 5, 39484, 31467, 6, 4, 10339, 33809, 1211, 1751, 171665, 33809, 2442, 6, 4, 10339, 33809, 1211, 1751, 23173, 1644, 40096, 47351, 148346, 20616, 158291, 8580, 6, 4, 6681, 8580, 3069, 31467, 7508, 7682, 6, 5, 6, 5, 6, 5, 3069, 31467, 7508, 7682, 4838, 506, 54260, 2050, 2205, 874, 54260, 1211, 6, 212394, 8009, 101503, 60980, 1211, 6255, 1285, 145813, 45629, 107581, 6, 4, 140108, 60980, 1211, 6255, 7746, 3069, 31467, 6, 74004, 51723, 15750, 54260, 2884, 144754, 4838, 24621, 110970, 8580, 6, 4, 140108, 119055, 13845, 6255, 7746, 120202, 8248, 31467, 211169, 4838, 9719, 175221, 3069, 31467, 2050, 17190, 148346, 12483, 6, 24295, 20961, 19024, 6655, 22753, 2808, 7746, 6235, 3149, 2808, 22426, 2882, 3069, 31467, 2808, 6, 148222, 115222, 3131, 65482, 119055, 2808, 33809, 4838, 54260, 4113, 148346, 20616, 158291, 65482, 234917, 364, 33809, 83182, 2882, 7508, 33809, 148346, 15350, 220224, 12483, 33960, 905, 12483, 6, 4, 1470, 33809, 2932, 106, 4231, 8947, 79100, 119718, 20961, 95247, 91595, 161459, 2451, 714, 292 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26612, 2932, 91595, 161459, 169532, 711, 6, 148222, 4231, 33809, 5666, 8903, 32054, 75230, 3056, 4838, 238144, 28726, 6235, 148346, 7972, 148346, 8580, 22753, 10918, 1211, 2205, 148222, 17824, 13159, 18415, 6681, 8300, 238144, 21066, 33809, 23405, 6, 4, 22753, 2808, 9174, 26632, 7746, 6235, 3149, 2808, 22426, 2882, 3069, 31467, 2808, 6, 148222, 223390, 6093, 6, 4, 1470, 33809, 5666, 220224, 2808, 220224, 49008, 1470, 75230, 4667, 9174, 75230, 1644, 3523, 92605, 29060, 6, 5, 6, 5, 6, 5, 19024, 9174, 26632, 22753, 2808, 7746, 35189, 874, 41595, 230764, 9213, 506, 25207, 123736, 3149, 189623, 5666, 44779, 6, 4, 1470, 33809, 5666, 3056, 163139, 2808, 17190, 148346, 16870, 161459, 4, 119718, 23829, 32054, 54260, 149010, 2442, 6, 5, 7511, 119718, 69596, 1211, 6, 5, 1468, 2648, 13159, 44917, 112690, 1211, 169532, 6, 4, 7265, 6, 148222, 44917, 5666, 26394, 112389, 2882, 6, 4, 6655, 6, 80146, 8903, 506, 158291, 8580, 2205, 1470, 54260, 1211, 6, 210674, 8580, 6, 4, 2205, 1470, 54260, 1211, 19302, 53414, 2819, 11265, 69741, 23093, 9174, 26632, 7511, 13159, 149311, 11265, 55202, 163139, 2808, 4838, 7201, 54260, 6093, 2648, 161459, 25933, 16847, 2819, 22753, 2808, 6655, 6, 148346, 54260, 20315, 9174, 141943, 2808, 75230, 156325, 68889, 10918, 1211, 6235, 3149, 158291, 8580, 11265, 6655, 7746, 6235, 2648, 115536, 6, 4, 36324, 22753, 2808, 119055, 77188, 2808, 75230, 6293, 67826, 75290, 3069, 31467, 6, 121865, 149311, 10339, 33809, 1211, 6, 21292, 33809, 16847, 2819, 230764, 874, 48340, 8580, 51328, 169532, 3056, 30473, 2808, 4838, 905, 37016, 9934, 2205, 4838, 17410, 148346, 159870, 710, 6, 4, 6681, 55242, 56169, 11265, 4113, 123736, 3149, 2442, 23174, 44779, 6, 4, 6235, 3111, 31467, 51723, 7201, 23173, 220224, 2808, 190, 364, 33809, 83182, 2882, 7508, 33809, 148346, 69336, 6, 4, 15, 75322, 14081, 6235, 2648, 54260, 185226, 11265, 163139, 46590, 220224, 43590, 2808, 148346, 8580, 6, 29171, 192900, 6, 5, 16, 120202, 33960, 36723, 21295, 6681, 115222, 26632, 9221, 7265, 6319, 119273, 14877, 7508, 33809, 148346, 13845, 29771, 148346, 15350, 29060, 34076, 54260, 4667, 49481, 119055, 20961, 83957, 119718, 6235, 3111, 31467, 51723, 6681, 10149, 7508, 33809, 148346, 15350, 6, 4, 1470, 33809, 2932, 6655, 4852, 18167, 10676, 55242, 1644, 148346, 18640, 8580, 97483, 5666, 4269, 15533, 76632, 13497, 7265, 6, 111506, 17537, 6, 5, 6, 148222, 17824, 75230, 36419, 22680, 54260, 149010, 43649, 69859, 2882, 6, 4, 119055, 46646, 22753, 2808, 6655, 19024, 6681, 1157, 12415, 1211, 4838, 23847, 75230, 149311, 1470, 54260, 8903, 16667, 7201, 33809, 364, 33809, 83182, 2882, 16175, 75230, 4852, 35596, 7508, 33809, 148346, 15350, 6, 4, 6681, 116, 1470, 46244, 9424, 54260, 2882, 6, 4, 3069, 31467, 6, 74004, 51723, 7265, 63864, 9424, 108264, 1644, 12483, 4484, 24621, 16747, 24295, 2205, 119055, 20961, 83957, 6, 4, 6150, 6, 80146, 29434, 54260, 73880, 1470, 33809, 2865, 8903, 22492, 183216, 119718, 47709, 4838, 8300, 33809, 9719, 105235, 6, 4, 42493, 3069, 31467, 163139, 149311, 1054, 46646, 22753, 2808, 47567, 97483, 121740, 6, 4, 7265, 119055, 46646, 46464, 2808, 47567, 7746, 874, 196353, 220224, 1211, 2819, 22753, 2808, 10339, 147713, 2882, 6681, 6, 40096, 64567, 1470, 75230, 2702, 4269 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 54260, 1211, 76961, 22492, 149311, 6, 4, 1470, 33809, 5666, 6, 68558, 4838, 80453, 33809, 23093, 6319, 33809, 51723, 4838, 506, 54260, 2050, 2819, 36324, 22753, 2808, 3056, 24012, 148346, 7972, 148346, 8580, 6, 148346, 54260, 2050, 1644, 21660, 146887, 4838, 54260, 112690, 129891, 7508, 33809, 148346, 15350, 6, 4, 9174, 26632, 8248, 31467, 2808, 6235, 30473, 3149, 21295, 10676, 6, 105439, 10339, 33809, 1211, 16175, 75230, 2648, 6, 4, 58032, 26612, 4231, 26632, 874, 138763, 6, 4, 710, 159696, 1211, 10676, 192556, 11265, 163139, 33716, 8580, 6, 4, 1470, 33809, 5666, 6, 148222, 141879, 506, 15907, 22753, 2808, 74806, 93449, 6, 75322, 34882, 44478, 8580, 6, 4, 1054, 46646, 9174, 26632, 11265, 6681, 33960, 8903, 148346, 8580, 21422, 1211, 92605, 4113, 54260, 1211, 2205, 6, 23173, 54260, 39340, 364, 75230, 4852, 3069, 31467, 2808, 423, 7508, 33809, 154739, 4838, 142137, 74, 8947, 3056, 42493, 710, 119718, 905, 12483, 6319, 54260, 1211, 4838, 83182, 6, 148346, 2442, 17188, 2819, 6, 80146, 9174, 26632, 6, 148346, 2808, 99176, 146887, 6, 148222, 44917, 98071, 4113, 43649, 109316, 74, 6093, 73880, 6, 80146, 120202, 24012, 159696, 1211, 4838, 115222, 211169, 6, 4, 22753, 2808, 9174, 26632, 7746, 6, 195054, 54260, 16932, 15231, 6093, 163139, 2808, 6, 148222, 59616, 51138, 2205, 24012, 3149, 17171, 2050, 2819, 11265, 68273, 34322, 10339, 147713, 2882, 4838, 9221, 76961, 96743, 96743, 119718, 20961, 41764, 64567, 2451, 1381, 41764, 2882, 64567, 138, 73256, 1470, 75230, 2702, 21776, 4944, 171428, 4838, 6, 26394, 175221, 6, 4, 119055, 6093, 6, 148222, 41764, 69859, 28726, 6319, 43178, 23269, 22426, 4852, 54260, 49008, 6, 4, 7265, 220224, 6093, 64890, 112690, 1211, 102393, 33809, 2702, 6, 4, 11265, 6655, 22753, 2808, 234917, 107189, 25222, 8903, 148346, 12483, 2205, 6, 148346, 34882, 5, 6, 4, 36324, 6, 148346, 54260, 14004, 6, 80146, 1211, 39484, 31467, 8580, 7746, 10339, 33809, 20260, 12483, 10339, 33809, 1211, 6, 54260, 2808, 2808, 75230, 8903, 1211, 74806, 26632, 8580, 6, 5, 6, 5, 6, 5, 51328, 1470, 75230, 156325, 190, 2882, 33809, 1211, 101497, 6, 4, 3056, 6235, 4484, 33809, 51723, 39293, 1644, 148346, 93975, 874, 37016, 44478, 8580, 6, 4, 1470, 33809, 5666, 6655, 3069, 31467, 6, 80146, 1211, 33960, 74004, 98833, 152, 2451, 155, 185758, 119055, 29060, 20033, 6235, 148346, 12483, 4838, 2932, 33809, 18415, 102323, 30741, 850, 6, 4, 33960, 148346, 6255, 4838, 54260, 22426, 26612, 609, 46053, 6, 4, 4838, 4231, 33809, 183216, 6, 21106, 15289, 6, 4, 6, 68558, 114955, 6, 4, 6, 40096, 54260, 6093, 6093, 14856, 110970, 6, 4, 11265, 119055, 29060, 28726, 148346, 12483, 34076, 7682, 44779, 6, 4, 5332, 119718, 18640, 119055, 29060, 11265, 20033, 19024, 20260, 12483, 2819, 7369, 3056, 4838, 148346, 147713, 68438, 26612, 2932, 33809, 16932, 874, 54260, 82576, 6, 4, 117641, 98833, 20033, 6, 48904, 69596, 1211, 6, 20971, 80146, 6655, 905, 18330, 171665, 448, 33960, 159696, 1211, 2819, 6, 148222, 41764, 20961, 117641, 4484, 4, 39484, 31467, 8580, 8248, 31467, 22426, 25222, 39293, 121740, 6, 4, 8947, 3056, 24012, 159696, 1211, 4838, 119718, 101503, 6, 4, 1470, 33809, 5666, 7265, 4838, 119718, 2808, 4667, 1751, 109636, 16932, 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 ]
[ 3149, 33809, 22426, 506, 6072, 59094, 19767, 25093, 31467, 850, 710, 6, 4, 7265, 6, 48904, 54260, 4113, 6, 148346, 192956, 2442, 39340, 711, 5, 910, 29659, 15350, 47567, 220224, 1211, 711, 95766, 119055, 20961, 83957, 159696, 2442, 129194, 63864, 36484, 9174, 75230, 4852, 6, 4, 119055, 2808, 33809, 77775, 895, 141943, 43178, 121495, 6, 4, 6, 148346, 15907, 123073, 49920, 89930, 6, 4, 364, 33809, 23405, 6093, 93975, 6, 4, 30842, 6, 4, 6681, 43649, 115536, 4113, 64044, 6, 81951, 4944, 18415, 6, 148346, 34882, 33809, 51723, 8947, 8580, 6, 4, 7265, 112389, 2882, 17190, 61397, 1470, 33809, 2702, 4852, 34533, 71577, 54260, 49008, 5442, 29771, 12890, 13929, 57906, 76632, 1211, 6, 148346, 14004, 112389, 2882, 1470, 54260, 59461, 6235, 148346, 12483, 9424, 238144, 146887, 6, 4, 230764, 4838, 75230, 4113, 25603, 25222, 147713, 93497, 1470, 33809, 5666, 39484, 31467, 18167, 9424, 119718, 13456, 8580, 7746, 6, 4, 67826, 44478, 506, 54260, 2882, 6, 104985, 29060, 6, 5, 2451, 155, 165592, 75230, 705, 1285, 13497, 9213, 46244, 1470, 54260, 1211, 68542, 13159, 101608, 705, 2451, 1470, 6, 4, 9213, 46244, 6319, 62067, 54745, 1211, 140108, 8580, 6, 159696, 51723, 8947, 3056, 705, 5332, 41764, 710, 2451, 6, 92605, 148346, 64213, 60980, 1211, 6, 148222, 182990, 6, 159696, 21295, 6, 4, 6255, 60980, 1211, 76961, 68542, 13159, 36419, 22426, 67223, 47648, 6, 4, 6255, 119055, 13845, 1470, 54260, 4667, 120202, 710, 170098, 32829, 1211, 6, 4, 148932, 100810, 6, 182078, 506, 153, 6, 238144, 41764, 69336, 16870, 89184, 6, 4, 1470, 33809, 7511, 42493, 42493, 2819, 119055, 2808, 33809, 18225, 129165, 98833, 152, 163139, 21295, 2205, 34654, 14004, 2648, 8947, 8580, 705, 4, 1470, 33809, 5666, 119055, 2808, 33809, 18225, 3056, 6, 61397, 8580, 6, 4, 36324, 18225, 4838, 75230, 22426, 41764, 2882, 33809, 22426, 4838, 4113, 26612, 26612, 46590, 33809, 19024, 2205, 119055, 20961, 83957, 119718, 4, 119055, 13845, 1470, 54260, 4667, 1470, 75230, 2702, 21776, 148346, 171428, 148932, 8580, 4231, 5332, 5332, 14004, 46244, 155, 6319, 62067, 19024, 6, 159696, 51723, 32, 710, 27, 9213, 46244, 220224, 13497, 1751, 75230, 1211, 19024, 1157, 5666, 5666, 5, 705, 5, 153, 2702, 79100, 119718, 20961, 6255, 2451, 1438, 6, 7961, 6255, 60980, 1211, 6319, 54260, 119132, 42493, 6, 4, 6255, 6, 148346, 8580, 19024, 1751, 75230, 1211, 29434, 54260, 2808, 119055, 2808, 211169, 153, 2451, 29434, 14004, 119055, 2808, 211169, 705, 19024, 147062, 18225, 220224, 1211, 29434, 14004, 58826, 46244, 711, 51328, 42493, 22426, 20961, 76961, 51723, 3056, 19024, 123736, 71945, 6, 98071, 144862, 2442, 21106, 2819, 19024, 220224, 8903, 1211, 47833, 74806, 119718, 2808, 33809, 51723, 29766, 4113, 24621, 657, 54260, 2882, 6, 4, 10339, 33809, 1211, 6, 148222, 44917, 5666, 26394, 6, 159696, 21295, 6, 4, 230764, 148932, 6, 80453, 33809, 23093, 10078, 4484, 148346, 8300, 12130, 2819, 6681, 36324, 2808, 9213, 122623, 163139, 2808, 9213, 46244, 6, 4, 3056, 6, 68566, 104238, 2205, 1285, 43590, 75230, 24621, 36326, 43649, 142429, 2882, 6, 4, 119055, 2808, 33809, 18225, 6655, 4838, 148346, 710, 212413, 6, 148346, 37016, 62067, 3131, 145702, 153, 2205, 35189, 129165, 27105, 6319, 33809, 20911, 18225, 230764, 5332 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 76526, 148346, 2442, 26632, 5, 7265, 220224, 6093, 4838, 3131, 148346, 13845, 8580, 6319, 33809, 4484, 27, 2451, 6255, 6, 148346, 8580, 4838, 506, 6093, 6, 29171, 33809, 51723, 42493, 49481, 6, 182078, 850, 6, 4, 874, 54260, 1211, 3944, 148346, 6093, 22680, 54260, 16747, 6, 4, 11265, 119055, 29060, 20033, 58826, 6, 4, 84475, 42493, 34076, 75230, 148346, 8580, 6, 4, 36324, 3373, 4667, 364, 171665, 1644, 7265, 26612, 167305, 2442, 201, 2451, 758, 3069, 31467, 7508, 7682, 39484, 31467, 6255, 6, 21106, 54260, 1211, 4269, 7682, 62067, 6235, 148346, 12483, 17824, 75230, 36419, 6, 182078, 850, 2819, 14004, 148346, 6, 148346, 8580, 4838, 506, 6093, 6235, 4484, 33809, 51723, 8248, 31467, 211169, 874, 54260, 1211, 32054, 75230, 6, 4, 119055, 46646, 6655, 20033, 3069, 31467, 6, 148222, 2808, 33809, 214766, 33809, 4484, 149010, 6, 123316, 2808, 24012, 148346, 4944, 115536, 6, 5, 6, 5, 6, 5, 2451, 119055, 46646, 364, 54260, 16803, 8248, 211169, 705, 22753, 2808, 3056, 54745, 1211, 6, 84577, 17410, 156325, 705, 2451, 42493, 51328, 6, 84577, 17410, 156325, 6, 4, 51328, 6, 148346, 43178, 5666, 47332, 6, 148346, 43178, 4852, 21295, 1470, 33809, 5666, 6, 148346, 6093, 2808, 148346, 4113, 159696, 2882, 38, 2451, 10339, 33809, 1211, 119055, 64567, 12483, 6, 238144, 16803, 9213, 46244, 36324, 9934, 148222, 3056, 19024, 705, 59929, 905, 23173, 10339, 33809, 1211, 1470, 33809, 54561, 6093, 43649, 69859, 2882, 6, 4, 6655, 7746, 7265, 11265, 6, 148346, 2808, 8903, 2932, 41595, 2882, 33809, 2882, 4838, 119718, 2808, 4667, 17853, 3069, 31467, 2442, 7682, 6, 4, 230764, 3523, 203387, 119718, 75290, 4269, 120467, 153, 6319, 33809, 2865, 186797, 4838, 506, 448, 6, 4, 506, 15907, 7369, 20033, 150764, 152, 52, 130745, 21292, 6, 4, 6255, 39484, 31467, 6428, 54260, 1211, 6, 80146, 905, 33960, 39293, 42023, 2205, 119718, 26612, 26612, 95494, 119718, 6, 4, 8248, 31467, 4667, 6, 148346, 2808, 8903, 2932, 41595, 7265, 11265, 6, 4, 2205, 7265, 8580, 44917, 2702, 711, 6, 5, 148222, 234917, 159696, 2932, 16932, 364, 26612, 148346, 8580, 20033, 120202, 6235, 117397, 16932, 2882, 6, 4, 163139, 2808, 212911, 18415, 119055, 46646, 6093, 4838, 25222, 35044, 29659, 8580, 74, 54260, 2702, 4231, 33809, 49008, 2205, 64890, 112690, 1211, 138, 73880, 6, 4, 119055, 46646, 6255, 6, 148346, 8580, 33960, 119718, 69596, 1211, 4838, 3131, 46545, 710, 28726, 24621, 110970, 6, 4, 4838, 33809, 4667, 6, 148346, 8580, 42493, 6681, 1470, 54260, 4667, 3523, 15435, 115536, 6, 4, 10339, 33809, 1211, 17824, 75230, 36419, 6, 147185, 24012, 159696, 1211, 29659, 23173, 4484, 70695, 2932, 4484, 6, 4, 7265, 6, 91240, 167622, 506, 54260, 2882, 6, 148346, 8580, 6255, 120202, 33960, 147713, 8580, 6, 4, 2205, 71577, 21106, 7511, 153222, 4838, 167305, 2442, 9424, 54260, 2882, 84475, 28415, 2819, 49920, 186797, 6, 148222, 6, 148346, 3131, 33809, 17800, 6, 4, 85465, 148346, 6255, 6235, 101296, 40920, 4838, 3131, 22426, 2808, 138194, 3069, 31467, 10339, 33809, 2702, 34076, 54260, 4667, 4838, 506, 6093, 2819, 119055, 46646, 47567, 18225, 96256, 42023, 36324, 18225, 3056, 6, 92605, 148346, 64213, 705, 4838, 119718, 2808, 4667, 97121, 3069, 31467, 55242, 13805, 37826, 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 ]
[ 15435, 75230, 77188, 2808, 54260, 1211, 4269, 54260, 1211, 6, 4, 6255, 6, 148346, 8580, 6, 29171, 33809, 51723, 4838, 92341, 167622, 6093, 6, 4, 4838, 148346, 20961, 7201, 33809, 101608, 6, 4, 60980, 2050, 21106, 4113, 148346, 16870, 905, 61397, 6, 5, 6, 5, 6, 5, 2451, 3523, 22426, 32, 6655, 9213, 46244, 11265, 1751, 75230, 1211, 6235, 7201, 33809, 49008, 705, 2702, 79100, 75230, 20961, 3523, 91595, 8580, 7961, 3523, 91595, 8580, 711, 4269, 54260, 141943, 24295, 2205, 6, 148222, 364, 54260, 168155, 6, 4, 39484, 31467, 6255, 132025, 8903, 18415, 71577, 2884, 95766, 4838, 29659, 33809, 148346, 4838, 2932, 112711, 26394, 6, 144862, 156443, 6, 4, 5, 76961, 39340, 4667, 1470, 33809, 5666, 6, 148346, 45629, 5666, 156325, 152, 43649, 54260, 4113, 29400, 24295, 148346, 54260, 2050, 78104, 46244, 6655, 18225, 20033, 33469, 148346, 2648, 24012, 159696, 1211, 7265, 4838, 171665, 24244, 6, 4, 7265, 4838, 3131, 54260, 16580, 1644, 28726, 39340, 4667, 6, 4, 6255, 39484, 31467, 6235, 4852, 62067, 20817, 54260, 2050, 711, 6, 148346, 54260, 2050, 16175, 9221, 3056, 24012, 39293, 149311, 44917, 1211, 2808, 54260, 1211, 6, 23173, 33809, 133111, 6, 4, 39484, 31467, 6255, 70845, 24012, 22680, 35596, 5332, 46646, 3056, 24857, 6681, 4838, 3131, 87311, 506, 4231, 192061, 7369, 20033, 4269, 15533, 62067, 152, 6, 26, 26612, 148346, 192956, 2442, 1470, 54260, 1211, 6, 21106, 15289, 6, 4, 6655, 6235, 3111, 31467, 51723, 14004, 33809, 5666, 8903, 6, 21106, 58082, 6, 4, 51328, 119055, 46646, 13159, 3056, 4269, 54260, 12483, 6, 148222, 9174, 33809, 22426, 506, 6, 4, 6, 75322, 74897, 4231, 37826, 7511, 8903, 148346, 8580, 67826, 28726, 9174, 33809, 22426, 506, 1054, 53805, 33809, 16629, 1211, 6, 4, 6, 238144, 1644, 6, 26, 35189, 25093, 31467, 161459, 6, 4, 6655, 5332, 22426, 13159, 29171, 238144, 20260, 710, 21295, 6, 4, 4151, 1054, 54260, 28726, 3056, 19024, 4838, 148346, 710, 212413, 165435, 506, 6, 4, 9934, 62067, 49481, 4838, 122165, 79915, 54260, 2050, 711, 4, 168892, 39484, 31467, 7746, 42493, 57906, 2808, 109995, 6, 148346, 29060, 8580, 6, 4, 4151, 6, 238144, 28726, 49920, 6255, 6, 4, 119055, 75230, 2808, 54260, 59461, 6, 71577, 12130, 10339, 33809, 1211, 6, 148222, 97121, 448, 6, 4, 6655, 4838, 23405, 20616, 54260, 148346, 8580, 163139, 5666, 36326, 159696, 1211, 6, 26, 75386, 33809, 448, 3131, 46685, 1644, 53393, 147865, 1470, 54260, 4667, 6, 5, 6, 5, 6, 5, 5332, 101503, 4838, 905, 54260, 28726, 6, 4, 163139, 2808, 364, 54260, 16803, 11265, 705, 44917, 27, 80146, 711, 1468, 6, 5, 11265, 364, 77188, 6, 4, 6, 80146, 6, 4, 4838, 96743, 4667, 34076, 7682, 7265, 6, 173967, 6, 148346, 15533, 10676, 15231, 17748, 146887, 895, 16932, 711, 88924, 98071, 2050, 76961, 51723, 711, 874, 54260, 23269, 6, 148346, 1644, 33809, 146887, 39484, 31467, 8580, 123736, 2932, 8903, 506, 75230, 22426, 2884, 16580, 30946, 8580, 2205, 6, 148222, 84475, 8580, 6, 5, 6, 5, 6, 5, 6255, 39484, 31467, 6235, 4113, 101503, 49481, 4838, 905, 54260, 28726, 5332, 2808, 33809, 5666, 39484, 31467, 11265, 6, 148346, 34882, 33809, 2702, 12483, 3069, 31467, 55242, 42023, 153, 6255 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 39484, 31467, 11265, 3523, 33809, 15231, 25222, 39293, 42023, 5332, 4838, 33809, 83182, 6319, 62067, 711, 6, 5, 6, 5, 6, 5, 6255, 6, 148346, 8580, 60980, 2050, 6, 23173, 75230, 2702, 10339, 33809, 1211, 43649, 33809, 148346, 6, 4, 874, 54260, 1211, 364, 23173, 1211, 192061, 20033, 220224, 6093, 6681, 6319, 159696, 56169, 6, 5, 6, 5, 1470, 75230, 156325, 44917, 2702, 151614, 148346, 6255, 3373, 54260, 3069, 31467, 1211, 238144, 13497, 2819, 4838, 8300, 54260, 2882, 6, 148346, 8580, 6255, 364, 41595, 6093, 8580, 6, 23093, 75230, 6093, 7243, 226976, 6, 4, 33960, 22492, 149311, 7265, 23822, 6093, 8580, 6, 5, 1470, 33809, 5666, 6235, 30946, 710, 109636, 2882, 1470, 75230, 156325, 52059, 2819, 6681, 6, 148346, 14004, 4269, 54260, 141943, 4113, 39484, 31467, 8580, 23050, 26612, 75230, 2882, 8903, 2865, 54260, 13497, 36324, 4151, 155787, 6, 4, 4151, 6, 29766, 33809, 133111, 3056, 1751, 171665, 14303, 2819, 6255, 364, 71577, 1470, 33809, 1211, 64044, 9424, 54260, 4944, 41595, 10676, 364, 75230, 6293, 7265, 6, 148222, 121943, 6, 4, 1470, 33809, 5666, 6, 148346, 8580, 10676, 44917, 2932, 22426, 8580, 2882, 112711, 78891, 23269, 2932, 64567, 8903, 1211, 163139, 2808, 4838, 14857, 33809, 8903, 61397, 6, 4, 5, 10339, 33809, 1211, 17824, 75230, 36419, 6, 238144, 2882, 64567, 8580, 4231, 41764, 2808, 48904, 115536, 6, 148346, 8580, 6255, 60980, 2050, 76961, 148346, 16870, 161459, 6, 23173, 54260, 1211, 6235, 145168, 8580, 4838, 506, 6093, 6, 5, 2451, 3523, 33809, 705, 119055, 46646, 19302, 77188, 9213, 46244, 6, 4, 874, 54260, 1211, 32054, 54260, 16747, 182261, 6, 97634, 42023, 4231, 2451, 9213, 148346, 6093, 112389, 2882, 119055, 13845, 6255, 7746, 874, 98071, 54343, 6, 54260, 1211, 2819, 18225, 153, 6093, 6655, 6235, 119718, 158291, 64890, 4667, 6, 29060, 119718, 46646, 7508, 54260, 122623, 6, 4, 51328, 1470, 54260, 59461, 10339, 33809, 1211, 5332, 137218, 29766, 4113, 24621, 657, 54260, 2882, 6, 4, 119055, 46646, 3056, 42493, 1751, 54260, 2882, 10339, 33809, 1211, 220224, 2808, 24012, 28726, 129891, 6, 4, 6655, 6235, 22426, 26612, 47332, 2702, 79100, 119718, 20961, 44458, 174798, 54260, 2451, 1702, 292, 47351, 114307, 54260, 152, 52, 3131, 171665, 33809, 16847, 6, 4, 6, 148346, 14004, 169532, 9934, 75230, 23741, 5, 9213, 46244, 6, 4, 1470, 33809, 5666, 6, 148346, 14004, 112389, 2882, 22426, 1644, 75230, 2442, 77188, 9213, 46244, 6, 4, 1470, 33809, 5666, 6, 170098, 2882, 42493, 6319, 54260, 119132, 13804, 156325, 2819, 67826, 1644, 4852, 14081, 220224, 1211, 711, 4, 13159, 3056, 6235, 4113, 69596, 1211, 67826, 1644, 9934, 6, 148222, 9934, 62808, 850, 10339, 33809, 1211, 6, 148222, 6319, 148346, 8300, 7511, 49597, 3131, 65482, 168155, 6655, 7746, 6235, 17410, 33809, 2882, 4151, 8580, 6, 4, 9213, 148346, 6093, 8580, 44917, 112690, 1211, 129194, 184695, 2819, 5666, 23173, 1470, 54260, 1211, 46601, 21292, 16175, 7201, 83957, 119718, 3056, 24012, 28726, 129891, 1470, 33809, 6293, 6, 4, 7369, 6655, 24012, 210674, 711, 153, 1651, 11, 647, 5, 76, 13, 5, 966, 14004, 56169, 93975, 46711, 6093, 8580, 1285, 4113, 4113, 6, 5, 13159, 3056, 97483, 5666, 2819, 46601, 21292, 16175, 7201, 83957, 119718, 6655, 41764, 15350 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4636, 5047, 42493, 185000, 710, 36324, 54260, 61397, 6, 4, 3056, 7369, 4838, 4113, 37016, 34076, 54260, 4667, 4838, 506, 8580, 6, 5, 6, 5, 6, 5, 6, 148346, 54260, 2050, 6, 23093, 75230, 6093, 10339, 33809, 1211, 4231, 65482, 119718, 8580, 6, 4, 6655, 46601, 21292, 4269, 33809, 2882, 6, 216056, 87583, 142144, 24012, 159696, 1211, 6, 4, 1054, 46646, 70845, 3056, 3523, 33809, 8903, 710, 33809, 26612, 163139, 85744, 6, 4, 6, 148346, 14004, 1470, 54260, 119132, 10339, 33809, 1211, 6, 148222, 364, 75230, 6293, 115556, 8580, 2819, 7369, 6655, 7746, 20315, 1211, 119055, 2808, 33809, 16803, 36324, 4151, 6, 148346, 192956, 2442, 6, 4, 3056, 10339, 33809, 1211, 51328, 2882, 112711, 6, 4, 1751, 75230, 1211, 4838, 159696, 4484, 25222, 22492, 183216, 2190, 33809, 156325, 15864, 24152, 6, 4, 6428, 99766, 6655, 7369, 4838, 147502, 1644, 7265, 6, 148346, 192956, 23269, 171665, 18273, 5332, 1470, 33809, 2932, 140108, 22753, 56169, 7369, 120202, 874, 148346, 156270, 8009, 72788, 6, 4, 6, 64260, 24857, 3056, 4113, 26612, 2884, 6, 80453, 124873, 6, 4, 4151, 10339, 33809, 1211, 147062, 7369, 874, 196353, 220224, 1211, 6, 4, 6, 148222, 3523, 54260, 4113, 6, 238144, 148346, 13845, 54260, 23269, 5332, 25491, 75230, 2050, 3056, 6, 23173, 54260, 1211, 2205, 364, 75230, 6293, 6, 4, 7265, 6, 92605, 17410, 109636, 152848, 364, 23173, 7611, 6, 4, 3056, 12483, 6, 74004, 15907, 3069, 31467, 2808, 6235, 22492, 183216, 6, 4, 3069, 31467, 2808, 6, 148222, 24012, 35189, 93975, 6, 158452, 2442, 6, 4, 10339, 33809, 1211, 10676, 22426, 28726, 149364, 2702, 121943, 28726, 2819, 7369, 6655, 7746, 4838, 15231, 28726, 33960, 105235, 21295, 6, 4, 70845, 6655, 8903, 137218, 23964, 8580, 2205, 122133, 4852, 137, 35189, 6, 64260, 506, 33809, 2050, 3056, 70845, 24012, 159696, 1211, 6319, 33809, 71945, 6, 4, 6, 148222, 97634, 4113, 26612, 2884, 14779, 22426, 8580, 70845, 74806, 46545, 2882, 4, 220224, 2808, 39484, 31467, 8580, 7746, 74484, 54260, 205131, 1470, 54260, 6093, 9183, 26612, 4231, 92605, 2884, 6, 4, 230764, 4151, 7369, 2648, 711, 6, 5, 6, 5, 6, 5, 96743, 96743, 119718, 20961, 73784, 2451, 496, 292, 8300, 33809, 2050, 158628, 3056, 7369, 19532, 54260, 1211, 2205, 364, 75230, 4852, 6, 5, 6, 5, 6, 5, 7369, 2205, 4838, 75230, 20315, 26612, 43649, 54260, 1211, 7511, 148346, 7972, 148346, 8580, 2819, 51328, 6, 148222, 43649, 33809, 148346, 78104, 46244, 6655, 7746, 33960, 73381, 33809, 13497, 5332, 4838, 26612, 137218, 4838, 137218, 23173, 75230, 2702, 6235, 185337, 12483, 6, 4, 18330, 124470, 28714, 55242, 42023, 6, 4, 119055, 6093, 3056, 6, 23173, 54260, 1211, 364, 75230, 4852, 4838, 33809, 5666, 37826, 35189, 55242, 42023, 10676, 6, 29766, 33809, 133111, 153, 6, 80146, 6655, 132025, 8903, 506, 54260, 148346, 8580, 8248, 31467, 1982, 2884, 5332, 16175, 71577, 12483, 95766, 6, 148222, 115222, 3131, 65482, 2702, 6, 4, 22753, 2808, 6655, 6235, 4113, 158291, 6235, 7916, 49008, 6, 92605, 2932, 75230, 23269, 4231, 22426, 109636, 4838, 26612, 165592, 23829, 6655, 120202, 6235, 4852, 33809, 40920, 6, 4, 1470, 33809, 5666, 4151, 6, 143409, 2882, 10676, 6, 29766, 33809, 133111, 4838, 26612, 2451, 155 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 168892, 153, 163139, 1644, 42493, 153, 6255, 153, 6, 148346, 29060, 204982, 6, 182078, 850, 153, 874, 23173, 2451, 137218, 26612, 26612, 2932, 35189, 6, 80146, 3056, 1470, 75230, 4667, 33960, 905, 12483, 1470, 75230, 2702, 6235, 8300, 75230, 2932, 8580, 6, 4, 3523, 23173, 182261, 4231, 40096, 4852, 18167, 2205, 148932, 22753, 1644, 148346, 4113, 6, 66313, 77188, 221895, 52059, 850, 6, 5, 6, 5, 6, 5, 874, 33809, 2882, 4838, 23269, 4113, 26612, 37016, 2442, 91595, 26394, 1211, 2819, 5332, 46646, 6, 80146, 6655, 7746, 1470, 75230, 8903, 5666, 148346, 105330, 32792, 6681, 9934, 119718, 2808, 4838, 4113, 26612, 13456, 45629, 112452, 6, 4, 4838, 96743, 4667, 28415, 6, 4, 163139, 2808, 6, 148346, 14004, 9424, 108264, 75386, 7369, 29659, 8580, 107189, 8248, 22426, 4838, 20616, 1211, 144754, 11265, 6, 4, 6, 148346, 54260, 2050, 3373, 79100, 119718, 20961, 6, 5, 6, 5, 6, 5, 6, 80146, 6655, 6, 142170, 22426, 41595, 4838, 26612, 13845, 109636, 23847, 75230, 36419, 2190, 98071, 129891, 6, 4, 119055, 46646, 22753, 2808, 6655, 4269, 7682, 62067, 6, 148222, 44917, 2932, 26394, 6, 159696, 21295, 4838, 75230, 4113, 26612, 31249, 710, 183216, 2819, 1470, 33809, 2932, 6655, 7265, 4838, 14857, 33809, 5927, 2050, 52059, 1470, 75230, 2702, 6, 62073, 12415, 12483, 4231, 6, 137218, 710, 1470, 33809, 22426, 29659, 20961, 148346, 6, 5, 6, 5, 6, 5, 46601, 21292, 711, 711, 711, 148222, 200795, 6, 148346, 506, 10125, 3056, 6681, 6, 148346, 14004, 6, 4, 220224, 220224, 49008, 6, 23173, 54260, 1211, 4838, 2884, 43649, 33809, 22426, 6, 15533, 54260, 2808, 39484, 31467, 8580, 9934, 98071, 4667, 6, 148222, 364, 141943, 42493, 33960, 8903, 148346, 8580, 2819, 46601, 21292, 364, 15907, 22753, 22426, 6, 68558, 41764, 18640, 15533, 21660, 2882, 6, 4, 6, 80146, 3056, 7265, 1470, 33809, 13497, 6093, 33960, 85465, 146873, 6, 131445, 74806, 15231, 8903, 1211, 4838, 33809, 26612, 8903, 3131, 22426, 101503, 6, 68558, 119055, 104274, 2819, 6, 148346, 54260, 20315, 39484, 31467, 8580, 74806, 119718, 45619, 1211, 5332, 3523, 23173, 6, 93975, 26612, 2884, 85465, 148346, 8580, 7746, 163139, 2808, 119055, 59929, 6093, 33960, 22492, 149311, 6, 148346, 14004, 6, 148346, 54260, 122623, 6, 4, 10339, 33809, 1211, 6, 54260, 2808, 1470, 75230, 2932, 2884, 4838, 5, 292, 155, 14004, 56169, 6, 4, 55242, 506, 6428, 54260, 1211, 1470, 33809, 23405, 105330, 7972, 211169, 4, 30109, 148346, 1211, 711, 5, 6, 5, 6, 5, 6, 5, 4231, 40096, 27702, 54260, 97634, 23405, 20616, 54260, 148346, 8580, 3496, 54260, 122623, 2819, 52, 39293, 506, 1054, 46646, 6428, 33809, 185143, 20033, 6235, 22426, 96743, 22426, 2882, 5332, 3523, 33809, 71512, 147185, 874, 54260, 23269, 1470, 33809, 23405, 105330, 8580, 6, 5, 6, 238144, 2702, 51328, 3523, 26632, 48494, 33809, 5666, 4269, 33809, 18415, 4231, 75230, 2882, 4838, 4838, 71577, 46985, 1211, 7746, 182261, 3523, 66293, 220224, 1211, 6, 68558, 124724, 2819, 51328, 6, 4, 119055, 46646, 119055, 29060, 4231, 40096, 6, 54260, 26612, 506, 13845, 22426, 8580, 705, 2865, 54260, 1211, 17190, 148346, 12483, 6, 4, 874, 54260, 1211, 4231, 159696, 21295, 6, 4, 7265, 874, 54260, 1211, 34076, 7682, 364, 84577 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4838, 33809, 6, 54260, 710, 109636, 64044, 163139, 16803, 4, 6681, 10339, 171127, 77188, 1470, 33809, 5666, 23022, 185000, 230764, 5332, 26612, 75230, 26612, 6, 208048, 4838, 4113, 21106, 4113, 148346, 8580, 3056, 20033, 3523, 87311, 2702, 6, 4, 6255, 163139, 1644, 220224, 6093, 1751, 174410, 148346, 8580, 6, 76632, 8248, 31467, 22426, 120202, 4838, 33809, 23269, 710, 8947, 79100, 119718, 20961, 4838, 75230, 2451, 292, 2808, 33809, 5666, 8248, 31467, 22426, 56170, 23050, 149311, 230764, 6, 148222, 6, 147185, 6, 4, 230764, 6, 148222, 119055, 2808, 33809, 16747, 18167, 4, 1054, 46646, 1054, 33809, 710, 80146, 1054, 364, 59929, 2882, 20033, 6235, 101296, 40920, 6, 5, 6, 5, 6, 5, 80146, 6655, 7265, 6, 148346, 54260, 20315, 9174, 141943, 6681, 6428, 87442, 11265, 41764, 12130, 6, 4, 22753, 2808, 6655, 8903, 26612, 905, 54260, 13497, 1470, 75230, 22426, 8580, 52059, 6, 4, 22753, 2808, 37826, 7746, 7243, 13845, 2882, 230764, 6, 148222, 136645, 506, 6, 5, 2932, 5, 2451, 1470, 176727, 71512, 16175, 61397, 8580, 6428, 75230, 23269, 6, 4, 60980, 8903, 1211, 20033, 24857, 7544, 16747, 80885, 42493, 22426, 2808, 26612, 6, 109636, 101608, 8580, 5332, 42493, 6681, 97995, 23174, 6093, 8580, 2819, 43649, 54260, 230764, 10339, 33809, 1211, 4151, 7369, 2648, 2819, 152440, 506, 12483, 58826, 2932, 8580, 20033, 9213, 122623, 51328, 56170, 3523, 26632, 2819, 6255, 6, 148346, 8580, 1470, 54260, 1211, 1470, 33809, 214766, 33809, 144581, 104238, 109636, 54260, 6093, 6, 4, 28415, 141107, 42493, 2819, 6255, 119055, 13845, 10339, 33809, 1211, 124724, 51328, 1470, 54260, 1211, 196511, 6, 148346, 29060, 8580, 4, 47351, 5332, 14004, 1751, 54260, 1211, 16175, 75230, 2648, 47567, 16803, 6428, 33809, 874, 54260, 1211, 58826, 46244, 9424, 54260, 2882, 11211, 146887, 6, 4, 6, 148346, 2442, 171428, 21106, 710, 22426, 2882, 5332, 6, 148346, 48350, 33809, 54260, 1211, 4838, 122165, 874, 54260, 1211, 6, 228605, 6, 4, 6, 148346, 15533, 2882, 6428, 33809, 2808, 20033, 146594, 33056, 705, 33960, 148346, 2865, 54260, 5332, 75230, 1211, 11211, 16747, 711, 2882, 75230, 2050, 6, 137218, 28320, 1470, 75230, 2702, 6235, 8300, 75230, 129891, 11265, 6, 5927, 104274, 2819, 46601, 21292, 3056, 6, 148346, 14081, 94741, 9183, 33809, 2882, 5332, 33809, 1211, 43649, 33809, 148346, 5332, 11265, 9213, 148346, 6093, 6, 170098, 141943, 24295, 6, 238144, 23269, 16747, 24295, 5, 26612, 75230, 22426, 66605, 2932, 8580, 41764, 65606, 6, 4, 6655, 18225, 6235, 7201, 33809, 49008, 2205, 122133, 7611, 173102, 6093, 12483, 6, 23405, 16667, 1211, 34482, 24390, 6, 4, 1470, 54260, 1211, 230764, 6235, 506, 122978, 4113, 8903, 2050, 6, 29766, 33809, 133111, 2819, 2205, 115222, 3131, 65482, 148346, 54260, 4838, 448, 6, 162642, 33960, 159696, 1211, 4838, 26394, 2882, 109316, 7265, 6, 148222, 119055, 6093, 16932, 152, 52, 148346, 79907, 31467, 50853, 176727, 7511, 2882, 2205, 874, 54260, 1211, 16175, 75230, 2648, 6319, 54260, 1211, 115556, 8580, 6, 4, 4151, 17190, 148346, 12483, 6655, 20033, 4838, 148346, 710, 212413, 7511, 8903, 54260, 1211, 5332, 1470, 33809, 2932, 4838, 96743, 4667, 10339, 33809, 1211, 20033, 6235, 3111, 31467, 51723, 6, 4, 6255, 6, 148346, 8580, 6, 54260, 6093, 127461, 6, 4, 6255, 148346, 8580 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6235, 119718, 1211, 7265, 6, 54260, 2808, 50963, 33809, 32184, 153, 220224, 13497, 874, 210326, 10676, 169532, 10339, 33809, 1211, 874, 54260, 1211, 2882, 75230, 26612, 5332, 193042, 448, 39384, 2808, 4231, 28726, 101608, 39340, 106, 4, 2882, 75230, 2882, 4838, 8580, 24012, 39293, 149311, 57362, 506, 6, 4, 6235, 22492, 5666, 49008, 49481, 6, 148222, 6, 116793, 6, 4, 6235, 238144, 5666, 57277, 33809, 26612, 41764, 34882, 71804, 98833, 10676, 129165, 27105, 12483, 6, 23173, 33809, 133111, 6, 4, 6235, 506, 15907, 10676, 6, 167305, 29025, 54260, 125830, 26632, 2808, 119718, 20961, 6, 145702, 2451, 29771, 23741, 23050, 2808, 183216, 230764, 220224, 1211, 6, 228605, 2819, 76961, 6, 4, 2808, 54260, 1211, 6235, 2865, 54260, 13497, 6, 47351, 6, 17645, 26612, 20961, 33809, 133111, 3056, 6, 142170, 12483, 6, 4, 11265, 6093, 4838, 148346, 2442, 33809, 35189, 6, 5, 80146, 3056, 33960, 159696, 1211, 9424, 54260, 2882, 11265, 17190, 148346, 12483, 4838, 23847, 75230, 36419, 123736, 1982, 119718, 194734, 5332, 41764, 22426, 54260, 7511, 28726, 148346, 2882, 2205, 17824, 75230, 2702, 81444, 58758, 2819, 11265, 17190, 148346, 12483, 7265, 10676, 162726, 4113, 109636, 26612, 4838, 137218, 2808, 75230, 4667, 42493, 33960, 159696, 1211, 6, 4, 7265, 9174, 2808, 29171, 6, 148346, 26612, 186565, 33716, 6, 4, 7369, 41764, 147713, 2882, 41764, 54260, 1211, 6, 17645, 75322, 710, 49008, 6, 4, 36324, 6, 29259, 65482, 4, 103648, 364, 65577, 6, 4, 3056, 33960, 159696, 1211, 28415, 163139, 506, 64260, 8580, 5332, 6, 17645, 26612, 3149, 66362, 6, 4, 1470, 33809, 5666, 4838, 4, 2808, 4667, 6235, 23822, 54260, 6093, 10339, 33809, 1211, 11265, 6, 4, 1470, 33809, 5666, 220224, 1054, 26612, 14088, 5332, 46654, 76632, 2808, 75230, 4667, 4151, 97483, 49008, 6, 4, 51328, 67826, 44478, 506, 54260, 2882, 6, 148346, 14004, 7746, 2205, 364, 23173, 68438, 5332, 2205, 14004, 25207, 6, 51437, 54343, 850, 2819, 51328, 22753, 2808, 10339, 147713, 2882, 4151, 15864, 8903, 1211, 6, 17645, 119132, 3523, 105330, 54260, 54260, 1211, 29771, 159696, 16747, 6, 4, 2205, 6, 159696, 75386, 33809, 1211, 22753, 2808, 3056, 6, 148346, 54260, 2050, 77014, 96256, 4113, 20961, 33960, 39293, 149311, 4838, 33809, 5666, 16175, 54260, 93975, 23822, 33809, 20260, 12483, 7265, 17824, 75230, 2702, 3523, 23173, 1470, 33809, 5666, 7369, 3149, 14325, 6, 4, 7265, 9424, 108264, 1644, 12483, 1054, 1470, 33809, 1211, 4231, 65482, 26612, 26612, 159696, 16747, 6, 4, 7265, 6, 17645, 119132, 60980, 107581, 10069, 129891, 3373, 79100, 4113, 20961, 6, 4, 39484, 31467, 8580, 1470, 54260, 4838, 33809, 214766, 33809, 144581, 22426, 8903, 2865, 115536, 6, 148346, 15533, 364, 75230, 50778, 129891, 169532, 6, 4, 220224, 6093, 123736, 23741, 10339, 147713, 2882, 4838, 54260, 4838, 71577, 6, 137218, 26612, 22680, 115536, 8580, 6319, 33809, 4484, 33809, 16747, 24295, 230764, 6, 59929, 79100, 119718, 20961, 6, 4, 6, 238144, 220224, 119055, 186955, 24012, 159696, 1211, 5332, 33809, 26612, 24390, 3069, 31467, 6235, 148346, 33809, 107829, 1211, 7265, 1470, 88945, 76961, 6235, 22492, 2932, 165354, 6, 5, 2205, 4231, 65482, 6, 117397, 33809, 146887, 21066, 76632, 4852, 11265, 4113, 3944, 22426, 8580, 41764, 25207, 22426, 1644, 12483, 152, 52, 35189, 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 ]
[ 79100, 119718, 20961, 711, 4151, 58826, 1211, 137218, 26612, 26612, 5332, 43178, 25207, 96743, 23829, 119718, 2808, 25207, 2451, 26612, 54260, 23269, 4838, 33809, 54260, 2442, 34533, 40697, 7369, 36723, 54574, 33809, 7511, 36909, 68558, 12483, 895, 26612, 29659, 54260, 1211, 5, 3111, 31467, 4231, 4231, 62, 1995, 5831, 1766, 13, 36957, 35153, 10749, 13, 11, 11, 1366, 7369, 339, 1687, 41120, 147, 26612, 17645, 137218, 15750, 16870, 24012, 22426, 710, 6, 5, 9430, 9430, 9430, 69364, 5471, 23385, 66, 748, 18790, 399, 104, 5, 104, 5, 8628, 13, 1011, 147, 110777, 6, 5, 1197, 6, 5, 2947, 1662, 6, 5, 4113, 2451, 106, 292, 5, 418, 2451, 4838, 119718, 127731, 96256, 15864, 140229, 28714, 905, 22492, 6, 4, 60980, 4113, 2808, 58826, 163139, 163177, 33809, 711, 2451, 4838, 6, 4, 4231, 109316, 22492, 78104, 28714, 55823, 17645, 119718, 22492, 711, 6319, 34882, 41764, 54595, 3131, 17645, 14004, 79238, 705, 43649, 46646, 128117, 22492, 44917, 159696, 20260, 2808, 119718, 2808, 705, 710, 40096, 7746, 123736, 148346, 61397, 33809, 109636, 1211, 1470, 54260, 1211, 5332, 147713, 62067, 4113, 32054, 54260, 79981, 3069, 31467, 4151, 221895, 4, 109995, 6, 148346, 4113, 8903, 2932, 2932, 186797, 5, 4838, 55823, 1211, 6, 148346, 33809, 1644, 119718, 20961, 6681, 5666, 115536, 6, 4, 5332, 152848, 99514, 31467, 16803, 6, 5, 35189, 17190, 61397, 1054, 29060, 6235, 119718, 21292, 874, 54260, 49008, 6, 4, 36324, 4151, 874, 162785, 448, 1470, 33809, 50778, 101296, 109636, 54260, 6, 4, 6, 148222, 32899, 16932, 2702, 10339, 33809, 1211, 6, 148222, 9424, 238144, 2808, 6, 109316, 22492, 194734, 10339, 4944, 54260, 1644, 54260, 16667, 6, 4, 8903, 8903, 1211, 6235, 119718, 21292, 132025, 8903, 207682, 2205, 70695, 2702, 23269, 7508, 33809, 148346, 2808, 4944, 13159, 4, 1470, 75230, 148346, 12483, 6, 71577, 69859, 148222, 119718, 39340, 26612, 12483, 6, 23173, 148346, 13845, 6, 4, 1470, 33809, 5666, 6, 148222, 14779, 20961, 6235, 56914, 12483, 41764, 69859, 30109, 33809, 4852, 46985, 2050, 6, 4, 292, 364, 59929, 2882, 33809, 8903, 119718, 21292, 6, 174121, 850, 6, 4, 874, 54260, 1211, 3944, 148346, 6093, 17190, 168155, 6, 5, 6, 148222, 7369, 80885, 364, 54260, 16803, 51328, 21422, 22426, 506, 2932, 8903, 36419, 6, 4, 1470, 33809, 5666, 9213, 46244, 32899, 16932, 3056, 38087, 2932, 34882, 2808, 22426, 1644, 6, 59929, 5927, 2648, 28317, 506, 26, 2702, 6, 4, 4151, 15350, 119859, 5332, 119055, 13845, 4944, 12483, 6235, 506, 2882, 2205, 4838, 149364, 29659, 14081, 26394, 8903, 66605, 9719, 39340, 7265, 4838, 143409, 12483, 2882, 54260, 4113, 77287, 4838, 89930, 121865, 65482, 2050, 1470, 33809, 5666, 7265, 4838, 506, 54260, 28726, 55202, 2819, 1470, 33809, 5666, 6, 148222, 221895, 26612, 8580, 37189, 33809, 5927, 29025, 54260, 21338, 46654, 18415, 9221, 33809, 3149, 2050, 26612, 1982, 25207, 17017, 8903, 29025, 13159, 6, 4, 10676, 6, 139001, 96743, 175323, 84577, 6093, 6, 4, 119055, 13845, 104238, 6235, 506, 2882, 1470, 75230, 4667, 2205, 4838, 23829, 155045, 39340, 1470, 33809, 5666, 2205, 4838, 4113, 20961, 51723, 78683, 111179, 29171, 4838, 89930, 121865, 65482, 2050, 1470, 33809, 5666, 4838, 59919, 132736, 26394, 119132, 10339, 33809, 1211, 6, 148222, 46654 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3131, 6, 4, 119718, 59929, 6, 12483, 6, 97634, 62067, 6, 23173, 33809, 2050, 2819, 1470, 33809, 5666, 6, 148222, 9174, 14081, 2808, 159696, 2702, 10339, 33809, 1211, 6, 148222, 67826, 159696, 1644, 3056, 22426, 9183, 26612, 4838, 54260, 2050, 3069, 31467, 6235, 148346, 33809, 16747, 12483, 7265, 167048, 7682, 44779, 6, 5, 6, 148222, 6, 148346, 54260, 20315, 5332, 147713, 62067, 4113, 22426, 26612, 54260, 7972, 16667, 220224, 49008, 132025, 2932, 21660, 75230, 8903, 1211, 49481, 4151, 141879, 2442, 68273, 4113, 152, 4838, 54260, 23269, 46711, 64567, 57277, 54260, 1211, 6, 71577, 31623, 45619, 165354, 7213, 151227, 7265, 6, 109636, 21338, 31623, 13159, 1470, 33809, 5666, 6, 148222, 221895, 6, 71577, 17410, 16629, 54260, 2882, 6, 71577, 21106, 6093, 71512, 6, 4, 1470, 33809, 2932, 6, 148222, 3373, 14081, 127731, 96986, 6, 4, 119055, 13845, 107581, 23050, 506, 12483, 6, 59919, 148346, 54260, 20961, 33809, 109636, 1211, 5332, 54260, 26612, 123736, 148346, 6, 153222, 16803, 41764, 710, 9934, 34882, 112711, 33809, 6, 5, 1470, 54260, 23269, 43649, 20616, 2882, 7265, 49920, 23174, 132, 2808, 147713, 62067, 4113, 32054, 54260, 79981, 16, 9213, 12483, 2451, 106, 292, 29771, 55823, 1211, 15864, 24152, 1470, 33809, 5666, 6, 148222, 221895, 6, 23173, 148346, 54260, 18415, 2882, 2205, 32899, 148346, 2442, 7682, 4838, 33809, 5666, 5332, 4113, 75322, 57277, 119718, 2808, 4667, 6, 23173, 33809, 148346, 1644, 7265, 6, 26394, 2808, 109985, 6319, 137377, 7682, 13159, 22753, 1644, 148346, 6093, 23269, 6, 5, 4852, 54260, 2808, 6235, 506, 12483, 6, 71577, 12483, 6, 148346, 33809, 1644, 119718, 20961, 6, 4, 7746, 6, 238144, 104149, 1470, 33809, 5666, 3944, 96986, 4231, 29789, 12483, 5332, 96256, 46685, 6, 4, 1470, 33809, 7972, 6, 75112, 2050, 6, 4, 119055, 29060, 7746, 119055, 6093, 8947, 3056, 132025, 26394, 109636, 1211, 6, 68558, 5332, 54260, 4113, 26612, 119718, 2808, 33809, 20315, 6, 5, 874, 29659, 54260, 16667, 6235, 39293, 98833, 6, 4, 36324, 4151, 10184, 86733, 163139, 1644, 151614, 148346, 12483, 10184, 3131, 161048, 20616, 2882, 7369, 4838, 55823, 1211, 123736, 4852, 123073, 1470, 33809, 5666, 6, 59919, 119718, 20961, 23741, 140108, 12483, 4838, 23269, 15231, 5332, 4838, 33809, 5666, 6, 47351, 26612, 22680, 54260, 79981, 6, 5, 6, 5, 3523, 33809, 6235, 3111, 31467, 2932, 711, 2442, 54260, 20315, 1211, 7508, 54260, 20315, 1211, 220224, 2808, 6, 15533, 10069, 3131, 6, 4, 15864, 24621, 6, 106672, 1470, 33809, 5666, 4838, 122165, 7544, 29659, 18225, 22492, 4667, 6, 23173, 54260, 1211, 6, 124470, 3149, 69689, 119055, 6093, 16932, 1470, 75230, 4667, 2819, 51328, 119055, 12483, 8947, 6235, 506, 2882, 41764, 12483, 148346, 54260, 26612, 92605, 2808, 119718, 14081, 6093, 6, 4, 42493, 18225, 4838, 119718, 20961, 6293, 6, 23173, 33809, 2702, 40697, 2702, 119055, 23173, 2882, 1470, 33809, 5666, 18225, 1751, 34533, 4838, 75230, 2882, 95766, 4838, 195054, 91595, 6093, 4151, 3069, 31467, 6, 5, 6, 5, 6, 5, 119055, 46646, 47567, 18225, 6, 207682, 4231, 18225, 4838, 33809, 1211, 6, 232187, 159696, 16747, 12483, 76961, 7265, 21338, 12483, 4, 97483, 46685, 119055, 29060, 4151, 17190, 148346, 2648, 161459, 20632, 2882, 76776, 710, 11211, 109636, 1211, 4838, 2451, 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 ]
[ 46646, 47567, 26, 168892, 124724, 4151, 8300, 54260, 1644, 12483, 6, 4, 4838, 119718, 2648, 40096, 137218, 16175, 4838, 6, 35596, 109636, 50778, 109316, 22492, 78104, 28714, 109636, 17645, 119718, 22492, 6, 4, 84475, 17824, 33809, 5927, 9424, 54260, 18415, 1644, 10676, 6, 139001, 2702, 4838, 4838, 123736, 6, 17645, 4838, 168892, 39484, 31467, 185040, 124724, 119055, 46646, 3069, 31467, 4151, 9424, 54260, 1644, 12483, 6, 4, 1470, 41595, 65482, 26612, 41595, 4113, 3523, 54260, 2702, 48099, 28726, 148346, 12483, 711, 6428, 33809, 2808, 6319, 172398, 2882, 199250, 18330, 124470, 28714, 3944, 22492, 4838, 53171, 22426, 2808, 119718, 76776, 4231, 2451, 6255, 42542, 9213, 46244, 5332, 22426, 13159, 10339, 33809, 1054, 54260, 96986, 6, 5, 2451, 22753, 2808, 3056, 135227, 51369, 15289, 10676, 30109, 63593, 93497, 16175, 115536, 20616, 1285, 26612, 895, 18415, 26612, 13845, 43590, 5, 874, 54260, 1211, 6255, 6, 4, 3944, 22492, 4838, 53171, 22426, 2808, 119718, 22492, 6, 4, 1470, 33809, 5666, 220224, 364, 15907, 4838, 710, 159696, 194734, 23173, 3149, 39340, 6, 5, 7544, 17410, 6, 148222, 3944, 22492, 3056, 6, 57277, 39340, 4838, 10918, 20315, 20260, 710, 16747, 6, 71577, 26612, 710, 43178, 109636, 5332, 21106, 54260, 1644, 39340, 6, 4, 220771, 6255, 124724, 2819, 8248, 2808, 7544, 29659, 7746, 42493, 2205, 6319, 54260, 4838, 2205, 6319, 54260, 1211, 101080, 31467, 10918, 8903, 6, 23173, 148346, 54260, 2882, 2819, 22753, 2808, 3056, 6, 80453, 192900, 6, 71577, 26632, 2442, 29060, 1054, 4838, 54260, 905, 33809, 23405, 4838, 8580, 43649, 33809, 22426, 4838, 2808, 33809, 5666, 6, 148222, 1470, 23174, 123073, 4, 6, 148222, 6, 31177, 39340, 6, 4, 47567, 6255, 42493, 22753, 107829, 8903, 1211, 2882, 33809, 2882, 4231, 75230, 6, 54260, 54260, 5332, 68313, 4838, 3131, 46545, 620, 92605, 6, 4, 1470, 54260, 1211, 132025, 3131, 7682, 65482, 2702, 2205, 43649, 33809, 148346, 26612, 5332, 22426, 13159, 6, 54260, 710, 6235, 506, 57277, 4852, 75230, 42493, 21422, 40920, 18640, 6, 23173, 33809, 2050, 7746, 6, 4, 4838, 25391, 37016, 711, 6, 99176, 98833, 43649, 43178, 54260, 5666, 4838, 26612, 26612, 137218, 26612, 26632, 2808, 159696, 1211, 4838, 54260, 5666, 8903, 101080, 31467, 2882, 56169, 123736, 8580, 14856, 54574, 2819, 22753, 2808, 3056, 43649, 43178, 54260, 5666, 112216, 710, 146887, 5332, 149364, 85465, 159696, 2882, 2205, 220224, 6093, 6, 136108, 34322, 6, 4, 2205, 124724, 14856, 54574, 6, 4, 2205, 6, 54260, 26612, 4231, 119718, 33809, 109636, 1211, 4838, 33809, 123145, 1211, 76961, 2442, 1644, 54260, 2808, 41764, 46646, 4484, 33809, 2648, 16803, 119718, 2808, 6, 5, 129165, 2932, 9213, 46244, 6, 148346, 85310, 6, 71577, 33809, 15231, 22426, 26612, 17645, 26612, 8580, 5332, 75322, 69859, 34533, 39340, 6, 5, 6, 5, 6, 5, 22753, 2808, 6, 238144, 2702, 141107, 42493, 6, 4, 119055, 46646, 24857, 3056, 5332, 14856, 26612, 26612, 3523, 54260, 132, 2808, 147713, 62067, 4113, 32054, 54260, 79981, 16, 145813, 26612, 2451, 190, 292, 3131, 148346, 4113, 6, 23093, 33809, 2882, 22753, 2808, 7746, 6, 68558, 163139, 2808, 8947, 3056, 6, 4, 9213, 24857, 1470, 75230, 4667, 36324, 123736, 4667, 1470, 33809, 5666, 36324, 238144, 2808, 4231, 8947, 22753, 2882, 56169, 230764, 9213 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46244, 4838, 21733, 54260, 2648, 6, 92605, 33809, 2442, 26632, 163139, 2808, 230764, 6, 238144, 2702, 6255, 238144, 6, 5, 36324, 657, 71512, 6, 23093, 33809, 2882, 6, 68558, 4838, 21733, 54260, 2648, 6, 4, 6655, 22753, 2808, 124724, 4838, 200651, 17645, 42355, 6, 92605, 33809, 22492, 2882, 238144, 4838, 148346, 1644, 54260, 55823, 35189, 6, 4, 6, 64260, 163139, 2808, 6255, 220771, 124724, 6, 4, 292, 1470, 33809, 5666, 36324, 25093, 39340, 6, 23093, 33809, 57277, 1211, 4838, 2932, 17537, 29771, 29060, 6, 4, 129165, 2932, 9213, 46244, 6, 148346, 3149, 69452, 2819, 119055, 46646, 6, 105780, 33809, 25207, 119055, 12483, 6, 105780, 33809, 25207, 5, 6, 5, 6, 5, 51328, 7511, 16803, 5332, 55242, 506, 2882, 1470, 75230, 2702, 6, 64260, 163139, 2808, 4838, 21733, 26632, 7611, 1470, 33809, 5666, 141107, 6, 5, 3944, 8903, 42542, 124724, 123736, 148346, 4852, 15907, 148346, 12483, 2205, 4838, 8903, 39293, 76866, 83957, 22426, 2882, 1470, 33809, 5666, 123736, 148346, 7508, 54260, 20315, 1211, 185040, 83066, 97816, 4838, 55823, 15533, 54260, 61397, 44917, 1211, 6, 48904, 104274, 6, 4, 119055, 46646, 6681, 4838, 148346, 104274, 3056, 6, 148346, 13159, 6093, 3069, 31467, 4151, 1470, 33809, 5666, 3069, 31467, 35189, 364, 33809, 2882, 1054, 119055, 13845, 107581, 3056, 1751, 114436, 6, 4, 119055, 13845, 107581, 3056, 14856, 46244, 68273, 6093, 23269, 6, 4, 119055, 13845, 107581, 68313, 14856, 46244, 1470, 75230, 22426, 145168, 1644, 141943, 6, 4, 119055, 13845, 107581, 3056, 14856, 46244, 7508, 54260, 26394, 16747, 6, 4, 119055, 13845, 107581, 3056, 24621, 46244, 4269, 17410, 57619, 141943, 6, 4, 119055, 13845, 107581, 3056, 14856, 46244, 41764, 46646, 141943, 6681, 6, 148222, 6235, 30473, 40920, 1470, 33809, 5666, 22426, 47351, 4231, 114436, 6235, 30473, 40920, 6, 4, 119055, 13845, 107581, 123736, 148346, 110703, 8300, 54260, 29060, 230764, 7746, 14856, 46244, 119055, 7511, 28714, 142170, 4, 26612, 33809, 5666, 6, 137218, 6, 238144, 16932, 6, 5, 1470, 33809, 5666, 6, 148222, 6, 31177, 39340, 3056, 36324, 2808, 1751, 46545, 147582, 165354, 6, 4, 36324, 22753, 2808, 26612, 4113, 36609, 6, 54260, 73418, 7508, 54260, 2648, 186797, 6, 4, 43649, 20616, 2882, 22753, 2808, 14856, 46244, 42493, 1470, 33809, 5666, 6319, 159696, 2882, 29659, 7265, 54260, 26612, 162726, 54260, 710, 29060, 6, 5, 6255, 33960, 148346, 124724, 4838, 8903, 24621, 1644, 2819, 36324, 657, 71512, 3056, 230764, 4838, 21631, 33809, 5927, 6, 4, 71577, 112711, 33809, 710, 12483, 9213, 46244, 364, 33809, 83182, 18415, 4231, 33809, 5666, 8903, 14856, 110970, 12483, 6, 4, 18225, 1157, 40920, 6, 4, 18225, 3056, 1644, 33809, 50778, 2932, 5332, 292, 1470, 33809, 5666, 230764, 48099, 165354, 6319, 33809, 20911, 6319, 54260, 59461, 42493, 2205, 9213, 46244, 220224, 2882, 6, 5, 57277, 17645, 26612, 6235, 506, 2882, 119055, 6093, 3069, 31467, 3069, 31467, 9213, 46244, 6, 4, 6, 148346, 65606, 2882, 22753, 2808, 1470, 30682, 123736, 148346, 7265, 26612, 68566, 22426, 119055, 26612, 15907, 6, 4, 36324, 7369, 6, 59919, 74004, 98833, 1751, 75230, 1211, 4838, 26394, 506, 13497, 12483, 6, 5, 6, 64260, 36324, 2808, 13804, 78683, 54260, 4231, 26632, 5332, 8947, 3056, 185040, 4838, 17800, 83811, 6, 4, 9174 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28726, 148346, 12483, 6, 4, 230764, 6, 148222, 97483, 2882, 13159, 6, 4, 159696, 1644, 23269, 39484, 31467, 12483, 6, 64260, 36324, 13845, 107581, 3069, 31467, 26394, 17410, 2702, 6681, 32887, 4944, 16932, 6, 5, 51328, 163139, 2808, 170355, 98833, 18225, 5332, 22426, 13159, 705, 4151, 17190, 148346, 16870, 161459, 7265, 1470, 54260, 1211, 364, 104274, 167048, 145702, 7369, 26612, 33809, 5666, 7265, 6, 63188, 4838, 83182, 364, 104274, 6, 148346, 43178, 29659, 7369, 6, 4, 6, 148222, 3944, 22492, 3056, 6, 57277, 39340, 26612, 2932, 26632, 148346, 4113, 57619, 33809, 23405, 4838, 22753, 2808, 6655, 16175, 75230, 39293, 152848, 41764, 34882, 17410, 29171, 13159, 6, 4, 119055, 29060, 7369, 9213, 506, 90848, 148346, 22426, 2882, 15388, 2205, 7508, 54260, 16667, 1470, 33809, 5666, 2205, 9424, 238144, 2808, 6, 5, 1470, 33809, 5666, 6, 148222, 22444, 165354, 6, 4, 36324, 123736, 4667, 1470, 33809, 96951, 54260, 26612, 4231, 7369, 119055, 29060, 7265, 9213, 46244, 151614, 148346, 12483, 3069, 31467, 22753, 183216, 1470, 33809, 5666, 3069, 31467, 220771, 12483, 6, 5, 26612, 6, 238144, 705, 3056, 220224, 5332, 22426, 13159, 4838, 3131, 54260, 23269, 705, 292, 129165, 98833, 9213, 46244, 4838, 119718, 2648, 26632, 137218, 710, 71577, 22426, 33809, 28714, 119718, 22492, 6, 5, 132, 2808, 147713, 62067, 4113, 32054, 54260, 79981, 16, 7508, 54260, 2451, 305, 6, 7961, 6, 148222, 657, 71512, 6, 4, 9934, 112711, 6255, 124724, 6, 4, 3056, 4838, 23847, 110856, 1211, 6, 4, 6, 71577, 1644, 54260, 15949, 142170, 4838, 8580, 16870, 13845, 24295, 107581, 6, 92605, 33809, 2442, 26632, 163139, 2808, 6, 21106, 54260, 1644, 39340, 2819, 54745, 1211, 22753, 2808, 167048, 141847, 2882, 7746, 16175, 92605, 76632, 2882, 6, 68558, 7265, 6, 23173, 148346, 54260, 2882, 47833, 43649, 33809, 1982, 1470, 33809, 5666, 2205, 74806, 145702, 6, 5, 22753, 2808, 2205, 4838, 26612, 75230, 16870, 13845, 6, 4, 36324, 177274, 196511, 6, 4, 119055, 46646, 22753, 2808, 6, 119273, 6, 4, 45521, 93509, 69859, 2882, 9213, 46244, 5332, 4838, 54260, 29060, 159696, 33716, 22753, 2808, 6319, 54260, 1211, 73256, 42493, 45521, 93509, 119273, 152, 4838, 506, 6093, 2442, 178748, 9213, 46244, 220771, 12483, 15622, 4113, 26612, 238144, 16803, 119055, 46646, 6, 4, 4838, 33716, 8947, 9213, 46244, 163139, 2808, 6, 148222, 119055, 104274, 1470, 33809, 5666, 119055, 77188, 42493, 6, 238144, 5332, 238144, 1644, 22753, 2808, 6655, 185040, 4838, 148346, 1644, 33809, 125830, 99176, 22426, 55823, 1211, 42493, 2205, 7746, 6, 5, 4838, 33809, 5666, 6, 54260, 23173, 3149, 39340, 6, 4, 119055, 46646, 18225, 47567, 9213, 46244, 220771, 12483, 6, 4, 119055, 77188, 22753, 2808, 7508, 75230, 2882, 6, 238144, 6, 71577, 33809, 54260, 92605, 36324, 23829, 3056, 185040, 43649, 110703, 23269, 6235, 4852, 33809, 16747, 6, 4, 364, 54260, 148346, 2882, 230764, 36324, 37016, 13845, 6, 17645, 137218, 34882, 33809, 2442, 26632, 163139, 2808, 4838, 148346, 54260, 195054, 6, 5, 16742, 1470, 33809, 5666, 6, 238144, 2808, 711, 24857, 3056, 76961, 42572, 33809, 1211, 4838, 54260, 26612, 85465, 25207, 159696, 1211, 2819, 4838, 2932, 33809, 125830, 42542, 5332, 22426, 13159, 4151, 10339, 33809, 1211, 6, 23173, 75230, 2702, 6319, 33809, 51723, 705, 2451, 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 ]
[ 17645, 6, 4, 6, 17645, 6, 4, 8947, 3056, 6, 57277, 39340, 4838, 23847, 75230, 101608, 6, 31177, 83811, 6, 4, 23050, 148346, 12483, 1054, 4838, 75230, 1211, 2648, 13159, 31249, 7758, 51369, 2865, 49008, 4, 292, 29659, 52480, 63532, 7265, 2205, 4838, 119718, 2648, 26632, 47709, 15864, 140229, 36909, 26612, 119718, 76776, 26612, 4838, 96256, 39340, 4838, 3131, 99176, 6293, 10339, 33809, 1211, 10676, 17190, 148346, 4113, 196332, 1211, 152, 7369, 119055, 29060, 141107, 6319, 54260, 1211, 4231, 21106, 42493, 4484, 171428, 41764, 2882, 33809, 2442, 119055, 6093, 12483, 10339, 33809, 1211, 36324, 2808, 1751, 46545, 6, 189069, 6, 5, 51328, 10339, 33809, 1211, 6428, 119273, 15622, 171428, 26612, 2932, 2702, 6, 4, 119055, 46646, 6, 148222, 6, 61397, 64260, 65482, 3056, 24857, 6, 148222, 895, 16932, 4113, 97483, 29060, 29789, 4838, 6, 47351, 13159, 1054, 158291, 6235, 159696, 1211, 6, 148346, 6093, 39340, 506, 33716, 6, 4, 119055, 158291, 199250, 657, 71512, 874, 33809, 104149, 119055, 26612, 64260, 12483, 4838, 26612, 8580, 14004, 46244, 6, 4, 292, 364, 54260, 13497, 117641, 2932, 20033, 4838, 185337, 6, 4, 1054, 101503, 6, 148346, 15533, 8947, 119055, 29060, 7746, 6235, 22426, 710, 49008, 26612, 148346, 13845, 1211, 230764, 36324, 2808, 6, 61397, 29060, 65482, 2702, 711, 54745, 1211, 8947, 42542, 199250, 42493, 17741, 33809, 5927, 6, 137218, 710, 12483, 148222, 6, 54260, 23405, 123073, 40026, 6093, 6681, 6, 148222, 895, 16932, 4113, 6, 4, 163139, 2808, 2205, 41764, 2702, 33809, 4484, 43649, 54260, 2882, 6, 21106, 46646, 3149, 4113, 6, 148346, 9221, 39340, 13982, 54260, 23269, 15, 17410, 6, 17645, 144862, 506, 24755, 6, 148346, 2865, 17494, 53896, 31467, 16, 6, 4, 6, 238144, 874, 54260, 1211, 16175, 174121, 74004, 98833, 6, 5, 2451, 1470, 33809, 5666, 364, 33809, 2808, 874, 54260, 16667, 2882, 6, 4, 4838, 119718, 2648, 26632, 23829, 6, 4, 36324, 22753, 2808, 364, 15907, 21374, 49008, 42493, 4838, 506, 192900, 33809, 6, 174121, 850, 6, 5, 2451, 6235, 506, 1751, 2884, 6235, 506, 6, 4, 4231, 109316, 22492, 711, 119055, 46646, 49481, 119055, 119273, 33809, 6, 56052, 4838, 75230, 2882, 210674, 12483, 705, 2451, 230764, 874, 54260, 23269, 77775, 3523, 77605, 6, 4, 292, 6, 35596, 55823, 98833, 153850, 43178, 40096, 52480, 68561, 54260, 4113, 119718, 22492, 6, 4, 292, 6, 64260, 6, 148222, 1751, 46545, 620, 34882, 6655, 1470, 54260, 1211, 123736, 148346, 8903, 105235, 1644, 109636, 1211, 506, 68558, 31124, 69803, 2932, 64567, 18415, 32054, 54260, 79981, 16, 5332, 22426, 13159, 2451, 361, 6, 7961, 5332, 22426, 13159, 6, 71577, 54260, 59461, 99514, 31467, 705, 2451, 49481, 24857, 163139, 1644, 16803, 33809, 705, 364, 54260, 50778, 8903, 4231, 33809, 5666, 8903, 657, 54260, 2882, 220224, 49008, 49481, 42493, 165592, 13845, 30750, 46654, 37016, 6093, 3069, 31467, 6319, 33809, 165354, 230764, 36324, 2808, 1751, 46545, 6, 189069, 6, 5, 51328, 163139, 2808, 9934, 62067, 51723, 5332, 22426, 13159, 1054, 4151, 1470, 75230, 148346, 6093, 80885, 148346, 7213, 20911, 3069, 31467, 10676, 81414, 20260, 6093, 42355, 98664, 13159, 26612, 43178, 10676, 145813, 127684, 220224, 1211, 6, 238144, 1211, 6, 5, 2451, 364, 364, 4231, 6, 71804, 40920, 4838, 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 ]
[ 2648, 26632, 23829, 6, 4, 292, 364, 33809, 2808, 874, 54260, 16667, 2882, 6, 59919, 39340, 3149, 33716, 6, 5, 2451, 6, 17645, 6255, 39484, 31467, 7746, 6, 57277, 39340, 3069, 31467, 22426, 1644, 33809, 26394, 2882, 6, 5, 6255, 874, 54260, 1211, 2819, 10676, 145813, 127684, 80264, 6, 238144, 1211, 1470, 33809, 5666, 10676, 81414, 20260, 6093, 220224, 1211, 162726, 2808, 22426, 2702, 6, 5, 6, 148346, 54260, 2808, 3523, 26632, 2882, 3056, 6319, 54260, 1211, 9213, 148346, 215206, 76632, 2882, 14004, 8947, 37826, 7746, 2205, 9213, 46244, 4838, 54260, 23405, 13845, 710, 148346, 2882, 58826, 2702, 39340, 17824, 24295, 61541, 2648, 2819, 148346, 8580, 41764, 2808, 16932, 24857, 4838, 38596, 17410, 2648, 10339, 33809, 1211, 14856, 54574, 6, 4, 1470, 33809, 5666, 6, 21106, 28726, 30109, 4113, 46685, 4484, 75230, 109636, 1211, 6, 148346, 54260, 2808, 220224, 2808, 6, 5, 2451, 6093, 3056, 5332, 22426, 13159, 4838, 3131, 54260, 59461, 32, 26612, 119055, 6093, 6, 238144, 2702, 705, 36324, 7369, 3056, 43649, 141943, 24295, 1470, 54260, 5666, 8903, 22426, 2808, 8300, 39340, 2882, 2205, 14856, 54574, 6, 5, 64260, 36324, 75230, 119055, 47709, 6, 17800, 39340, 6, 4, 36324, 18225, 42542, 51328, 220224, 1211, 41764, 12130, 42493, 55242, 506, 12483, 6, 5, 6681, 54260, 137218, 41764, 2808, 22426, 2882, 7369, 2819, 123736, 148346, 6093, 36324, 75230, 6, 4, 47567, 205026, 4151, 1470, 75230, 148346, 6093, 82576, 42493, 2451, 41764, 20961, 874, 33809, 71512, 22753, 16747, 119055, 26612, 2932, 21295, 6255, 1470, 30682, 42493, 23050, 506, 51723, 6, 5, 24857, 26612, 710, 22426, 215031, 3523, 23173, 3523, 34533, 6, 4, 36324, 2808, 17190, 195164, 6, 4, 4838, 23847, 75230, 1644, 711, 6255, 39484, 31467, 1470, 30682, 1470, 54260, 1211, 148346, 21106, 6235, 39293, 506, 12483, 2205, 4838, 8903, 39293, 76866, 3131, 145702, 6, 5, 20033, 32054, 54260, 7972, 16667, 1470, 33809, 5666, 60980, 119718, 14081, 53414, 3131, 22426, 33809, 1644, 12483, 2205, 112216, 13497, 12483, 6, 4, 6, 57277, 57619, 12483, 4, 22753, 183216, 6, 4, 292, 1470, 33809, 5666, 7369, 4151, 4269, 73697, 6655, 30473, 22426, 6, 54260, 4113, 4838, 159696, 4484, 6235, 39293, 56169, 7508, 54260, 20315, 1211, 7265, 10676, 5950, 96986, 5332, 22426, 13159, 6, 159696, 8903, 1211, 23292, 64567, 112711, 13159, 77820, 1644, 5332, 6319, 119718, 15907, 109226, 6, 4, 112389, 22492, 3149, 195164, 6, 4, 6, 159696, 8903, 1211, 14856, 54574, 4231, 17824, 75230, 109636, 1211, 6, 4, 9174, 32829, 119859, 33809, 5666, 6, 76776, 4667, 36324, 13845, 107581, 41764, 46646, 4484, 33809, 506, 16803, 119718, 2808, 2819, 8947, 6655, 6235, 37016, 13845, 2882, 49920, 186797, 6, 5, 26612, 33809, 26612, 6, 21106, 28726, 151614, 148346, 12483, 7746, 23050, 4484, 75230, 40920, 10339, 33809, 1211, 6, 195054, 91595, 6093, 6, 4, 6319, 33809, 4484, 186797, 230764, 36324, 165050, 60980, 26612, 14081, 6093, 6, 5, 20033, 39484, 31467, 12483, 1751, 75230, 1211, 185040, 150764, 2819, 1470, 33809, 23405, 105330, 32792, 119055, 29060, 54260, 8580, 123736, 65482, 4113, 119055, 13845, 30750, 119055, 29060, 132025, 4484, 33809, 51723, 6681, 1470, 30682, 6, 5, 51328, 6681, 6, 31177, 165354, 22426, 59929, 2882, 7369, 6, 4, 292, 4838, 3131, 54260, 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 ]
[ 7508, 54260, 23269, 110573, 22426, 506, 711, 9424, 238144, 2808, 55242, 4484, 44779, 14856, 54574, 3523, 54260, 12483, 57277, 7511, 12483, 5332, 4231, 6, 54260, 711, 4113, 69803, 2932, 62067, 4113, 32054, 54260, 79981, 16, 6150, 75230, 19, 29161, 1283, 7039, 11, 7961, 305, 292, 37271, 304, 93704, 710, 6, 4, 874, 54260, 1211, 657, 148346, 6093, 9174, 2808, 148346, 12483, 20033, 23050, 506, 6093, 22426, 6, 54260, 54260, 4113, 76776, 54260, 12415, 2808, 9424, 238144, 2808, 874, 54260, 2648, 32792, 9934, 21422, 22426, 506, 3523, 23269, 36419, 110970, 22426, 22492, 60980, 22426, 75386, 1470, 33809, 5666, 3523, 54260, 22426, 710, 5332, 54260, 21338, 21066, 18415, 6, 9221, 33809, 111398, 2702, 6, 4, 41764, 2882, 7201, 33809, 711, 6255, 9174, 2808, 148346, 7746, 6, 148346, 14081, 2648, 1470, 75230, 2702, 6235, 8903, 15907, 4838, 4838, 54260, 2865, 54260, 1211, 2819, 1470, 119718, 2648, 26632, 23829, 15864, 140229, 96743, 119718, 22492, 1470, 33809, 5666, 4231, 109316, 22492, 78104, 96256, 22426, 54260, 4113, 119718, 76776, 5332, 6, 137218, 26612, 168892, 6, 148346, 29060, 1285, 4667, 6, 4, 874, 54260, 1211, 3944, 148346, 6093, 17190, 168155, 6, 4, 364, 33809, 2808, 47567, 16803, 220224, 2808, 42493, 1470, 75230, 2702, 5332, 26612, 8903, 1211, 36324, 54260, 2808, 115222, 8903, 1211, 230764, 20033, 122780, 1054, 65577, 186046, 9213, 148346, 13845, 39484, 31467, 12483, 6, 5, 710, 29060, 56169, 6, 4, 1470, 75230, 148346, 6428, 33809, 2808, 10339, 75230, 1644, 16803, 7746, 42493, 6, 4, 6319, 33809, 2050, 1157, 21087, 905, 22753, 22426, 4838, 25222, 109636, 26612, 3149, 2808, 109636, 1211, 6, 148346, 54260, 2808, 97995, 24295, 61541, 35465, 2205, 3373, 21733, 69859, 1470, 33809, 5666, 55242, 506, 12483, 25933, 34079, 6, 23093, 33809, 2882, 5332, 54260, 141353, 96986, 6, 5, 13159, 3056, 4231, 29060, 56169, 10339, 33809, 1211, 123736, 1982, 141943, 6, 5, 58826, 36419, 97995, 24295, 61541, 2648, 22753, 2882, 56169, 4231, 29060, 148346, 2882, 95766, 220224, 1211, 134973, 174410, 39340, 1470, 33809, 5666, 6, 111684, 33716, 220224, 23269, 60631, 148346, 15050, 6, 5, 8947, 123736, 15533, 6, 23173, 54260, 1211, 6, 137218, 139962, 101833, 51369, 2865, 16667, 6, 4, 32887, 39340, 6, 148222, 6, 4, 6, 23173, 33809, 2050, 119055, 13845, 107581, 6, 148222, 40026, 6093, 2648, 71512, 6, 109316, 76776, 194734, 22680, 54260, 1644, 54260, 16667, 39484, 31467, 12483, 6, 238197, 6, 5, 22753, 2808, 46711, 62067, 6, 71577, 15096, 33809, 4838, 710, 34882, 4838, 54260, 5666, 8903, 29659, 33809, 54260, 2882, 95766, 14856, 54574, 6, 4, 123736, 148346, 6093, 9213, 46244, 6235, 30473, 40920, 123736, 15533, 6235, 4852, 33809, 16747, 1470, 33809, 5666, 40026, 3131, 5332, 4838, 26612, 54260, 101328, 21660, 20961, 18415, 9174, 75230, 2882, 7265, 4838, 16629, 119132, 41764, 33809, 2442, 22426, 33809, 2442, 2190, 6293, 6, 148222, 6, 148346, 92605, 12483, 1054, 112216, 54260, 1644, 33809, 109636, 17410, 107581, 152848, 1470, 75230, 8903, 1211, 7265, 4838, 7972, 148346, 12483, 10498, 54260, 4944, 13845, 230764, 124724, 657, 33809, 109636, 1211, 4838, 6, 12483, 4838, 137218, 26612, 3131, 54260, 59461, 6, 148346, 2442, 33809, 23269, 2882, 6, 4, 364, 75230, 4667, 1470, 33809, 5666, 6235, 4852, 33809, 16747, 7265, 4838, 21733, 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, 4113, 104151, 4838, 3131, 75230, 26612, 4113, 17645, 5332, 159696, 1644, 107581, 3373, 115536, 1470, 30682, 55242, 46244, 1751, 54260, 1211, 6, 5, 119718, 23829, 7369, 6655, 9213, 46244, 4151, 39293, 506, 12483, 6, 4, 657, 75230, 23741, 7369, 123736, 5594, 26612, 6, 35596, 8903, 8903, 1211, 7369, 54260, 16803, 9213, 46244, 6, 148222, 364, 104274, 1470, 33809, 5666, 152036, 7265, 32054, 54260, 20315, 1211, 152, 2451, 3523, 33809, 2882, 6, 4, 119055, 46646, 9213, 46244, 220224, 2882, 6235, 4484, 33809, 51723, 6, 4, 7508, 30946, 4231, 4838, 33809, 22426, 58826, 22426, 6, 57277, 39340, 144754, 1470, 54260, 4667, 6, 4, 1054, 46646, 3069, 31467, 7508, 54260, 20315, 1211, 6, 5, 2451, 4269, 33809, 2882, 6, 4, 292, 6, 35596, 109636, 506, 2882, 22753, 2808, 6, 4, 292, 123736, 148346, 6093, 6, 80453, 63188, 42493, 6, 56052, 6, 54260, 5666, 36909, 39293, 4484, 44779, 24621, 54574, 64890, 119718, 20961, 2808, 33809, 24244, 6, 5, 148346, 14081, 2648, 3056, 6, 23173, 54260, 1211, 4838, 186145, 61397, 6, 4, 22753, 2808, 19302, 54260, 148346, 2882, 120202, 6, 94741, 26612, 32887, 54574, 5332, 6, 12483, 99176, 98833, 6, 23173, 75230, 2702, 1470, 33809, 5666, 657, 54260, 98833, 6, 71577, 12483, 10339, 33809, 46244, 6, 4, 119055, 46646, 3056, 74806, 57277, 49008, 6, 17645, 26612, 4113, 54260, 2808, 6, 5, 132, 2808, 147713, 64567, 18415, 32054, 54260, 79981, 16, 6, 54260, 26612, 5, 305, 292, 30473, 2808, 9174, 26632, 6235, 506, 54260, 2702, 12483, 4838, 159696, 4484, 10184, 46244, 12483, 8580, 23829, 14856, 54574, 1470, 33809, 5666, 22753, 2808, 149364, 148346, 7972, 148346, 12483, 2205, 3373, 21733, 69859, 6, 5, 2451, 3523, 33809, 199145, 119055, 29060, 21422, 1211, 6, 4, 874, 54260, 1211, 6, 57277, 54260, 123073, 705, 6655, 7369, 199887, 506, 127827, 152848, 2050, 7369, 6655, 9213, 46244, 1470, 33809, 2865, 23269, 93704, 64260, 1470, 33809, 5666, 1470, 159696, 4484, 6235, 39293, 2882, 56169, 6, 5, 2451, 3523, 33809, 119055, 46646, 55242, 6, 33809, 75230, 76866, 16803, 33809, 4, 91799, 705, 2451, 6255, 5, 163139, 1644, 20033, 47567, 12483, 7746, 1751, 75230, 1211, 4838, 122165, 132025, 2442, 33809, 55823, 1211, 77756, 1211, 110573, 10125, 168892, 47567, 51678, 32054, 54260, 2808, 6, 23173, 54260, 1211, 6319, 33809, 51723, 3069, 31467, 1470, 54260, 4667, 2205, 9174, 75230, 4852, 1470, 33809, 5666, 7265, 124724, 6, 4, 2865, 54260, 1211, 6, 23093, 54260, 123073, 4, 7746, 1470, 33809, 13497, 6093, 202446, 12483, 2205, 5, 874, 54260, 23269, 32054, 54260, 4113, 43649, 33809, 16747, 12483, 6, 5, 2451, 3523, 33809, 163139, 2808, 202745, 18225, 24857, 705, 2451, 6255, 119055, 13845, 7213, 165354, 4838, 3131, 2648, 12984, 3069, 31467, 1285, 6, 1211, 32899, 16932, 6, 5, 2882, 3523, 23173, 230764, 6, 149364, 8300, 54260, 2882, 71512, 4838, 33716, 6, 4, 163139, 2808, 1470, 33809, 54561, 123073, 895, 16932, 1211, 39484, 31467, 12483, 109995, 6235, 111684, 33716, 6, 4, 292, 1157, 40920, 22753, 2808, 6, 5, 2451, 6681, 1054, 46646, 42493, 6, 4, 874, 54260, 1211, 16175, 54260, 123073, 705, 710, 2205, 36324, 13845, 4944, 244640, 4113, 199887, 28726, 8903, 76776, 75230, 96986, 874, 33809, 4852, 18225, 151614, 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, 4838, 36909, 6093, 144754, 21338, 6093, 6, 5, 4151, 4838, 54260, 5666, 35596, 87637, 46685, 42542, 165592, 75230, 123736, 55823, 1211, 42493, 7508, 54260, 20315, 1211, 6, 4, 163139, 2808, 36324, 54260, 2882, 161459, 14856, 110970, 1470, 33809, 5666, 42542, 36324, 75230, 32054, 54260, 64567, 15907, 6, 35596, 149364, 1211, 119055, 46646, 18225, 19024, 47890, 6, 5, 2451, 200284, 3056, 64890, 69106, 4, 6, 120749, 18640, 6, 5, 6, 5, 6, 5, 45223, 2882, 123736, 148346, 6093, 6, 4, 6, 148222, 14856, 54574, 6, 4, 238144, 4838, 5594, 26612, 42493, 20033, 6, 4, 21776, 4944, 13497, 9213, 46244, 3069, 31467, 6, 23093, 54260, 6093, 2819, 54745, 1211, 182261, 6093, 3056, 5594, 15703, 6235, 22426, 14081, 1644, 12483, 6, 5, 30473, 2808, 364, 15907, 1285, 162726, 33809, 34709, 33809, 23405, 4838, 148346, 29771, 2808, 4667, 6235, 8903, 148346, 12483, 24857, 74806, 80453, 4113, 4667, 47833, 26612, 26612, 54260, 2882, 6, 4, 51328, 6, 159696, 8903, 1211, 74806, 2808, 22426, 2882, 2819, 54745, 1211, 13159, 3056, 6, 23173, 54260, 1211, 6235, 4484, 33809, 51723, 6, 48904, 15907, 161459, 18415, 142170, 2808, 33809, 5666, 129165, 2865, 20315, 14856, 110970, 12483, 6, 141353, 55823, 1211, 42493, 55242, 506, 12483, 6, 4, 163139, 2808, 220224, 2808, 43649, 20616, 12483, 26612, 31212, 36324, 75230, 6, 9221, 54260, 16747, 32792, 6, 5, 18225, 119055, 29060, 32899, 2932, 2808, 83182, 46711, 64567, 12483, 9213, 148346, 6093, 44917, 69106, 710, 22426, 69859, 2882, 6, 4, 1470, 33809, 7511, 46646, 41764, 119273, 6681, 220224, 2808, 42493, 6, 5, 6093, 6655, 1470, 30682, 123736, 148346, 8903, 22426, 101503, 41595, 1470, 33809, 5666, 105884, 2882, 7265, 9213, 46244, 6, 238144, 16932, 152, 2451, 6, 238144, 874, 54260, 16667, 2882, 33809, 6, 4, 6, 17800, 28726, 6, 4, 119055, 29060, 6428, 54260, 1211, 41764, 2808, 16932, 1470, 54260, 5666, 119718, 15350, 186461, 12483, 230764, 26612, 33809, 54561, 29789, 186046, 2882, 17645, 705, 13159, 155787, 17494, 9424, 238144, 61541, 6, 5, 91799, 6, 5, 7369, 3944, 148346, 2882, 1470, 33809, 5666, 4838, 40920, 29060, 1285, 4667, 39293, 46244, 5332, 1470, 30682, 55242, 46244, 5332, 119055, 26632, 6428, 33809, 2808, 6, 148346, 15533, 2882, 4838, 2932, 33809, 16932, 74806, 2808, 22426, 125830, 133111, 132, 2808, 147713, 62067, 4113, 6, 128750, 54260, 79981, 16, 2190, 5666, 2451, 611, 292, 3131, 5666, 1470, 54260, 1211, 6, 29766, 35596, 1644, 88680, 6, 133111, 6, 5, 2451, 36324, 75230, 705, 2451, 7369, 6655, 220771, 20961, 150764, 4838, 122165, 6, 4, 36324, 7369, 119055, 158291, 7746, 163139, 110970, 12483, 8300, 33809, 39484, 31467, 12483, 36324, 2808, 14856, 110970, 12483, 163139, 2808, 6428, 33809, 2808, 6681, 1470, 54260, 1211, 4838, 54260, 2648, 34322, 6, 5, 2451, 6, 21106, 74004, 220224, 49008, 20033, 34076, 7682, 32792, 6, 4, 3944, 148346, 4113, 6, 31177, 28726, 6, 4, 1470, 33809, 5666, 1470, 33809, 54561, 6093, 6, 148346, 33809, 16747, 68313, 1751, 75230, 1211, 51328, 6235, 119718, 21292, 6, 5, 30473, 2808, 204982, 36324, 42733, 7611, 6, 5, 2451, 119055, 46646, 22753, 193338, 16803, 6428, 33809, 2808, 705, 292, 129165, 98833, 7369, 9213, 46244, 1470, 33809, 50856, 33809, 506, 18640, 4838, 2451, 8947, 3056, 4838, 189069 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29434, 710, 49008, 1470, 33809, 5666, 55242, 46244, 6, 148346, 15907, 16932, 4113, 6, 4, 3944, 148346, 12483, 4231, 71577, 710, 4838, 2451, 3523, 33809, 705, 2451, 874, 54260, 1211, 1751, 159696, 82576, 1157, 506, 3056, 895, 16932, 6681, 20033, 4838, 1470, 33809, 5666, 7508, 54260, 1211, 27720, 16932, 119055, 29060, 42493, 6, 159696, 7972, 12483, 205026, 40026, 6093, 77756, 33809, 5927, 97483, 4944, 12483, 6681, 6, 54260, 506, 26612, 26612, 26612, 5332, 4113, 64260, 19024, 6655, 9213, 46244, 6, 174121, 850, 6, 4, 49920, 2442, 97995, 24295, 61541, 2648, 6, 4, 49481, 6, 80264, 123736, 4113, 22426, 3111, 31467, 23405, 4484, 33809, 63532, 1470, 75230, 2702, 7265, 22753, 148346, 26394, 42023, 7508, 33809, 148346, 1644, 6, 238144, 7511, 61397, 6, 5, 127731, 6655, 22753, 2808, 163139, 35189, 162726, 33809, 34709, 33809, 23405, 6235, 28726, 185226, 24857, 74806, 204403, 12483, 6, 68558, 165592, 54260, 2882, 2819, 54745, 1211, 8947, 3056, 6, 238144, 16932, 6, 23173, 54260, 1211, 6, 93704, 15907, 161459, 14856, 110970, 4838, 8009, 5332, 43178, 109511, 54260, 20315, 1211, 7265, 6, 17645, 119132, 1470, 33809, 5666, 58826, 6, 148346, 29060, 6, 18167, 6, 4, 7369, 47567, 9213, 46244, 41764, 75230, 6093, 120202, 26612, 150271, 93975, 1211, 6, 4, 54745, 1211, 22753, 2808, 6655, 6235, 17410, 104149, 10676, 32899, 16932, 6, 21106, 54260, 1211, 2205, 6319, 76776, 710, 4838, 6093, 10339, 77188, 41595, 6, 17645, 119132, 123736, 148346, 1470, 33809, 5666, 220224, 2808, 6, 148346, 1644, 54260, 148346, 12483, 7508, 54260, 16932, 4838, 139962, 75230, 1211, 4838, 2451, 6, 64260, 24857, 3056, 55242, 46244, 6, 148346, 710, 16932, 4, 292, 6, 35596, 59919, 2882, 7369, 4838, 54260, 26612, 5332, 4838, 148222, 1751, 159696, 82576, 3056, 141107, 163139, 2808, 4838, 148346, 54260, 1211, 2205, 122133, 4852, 6, 5, 2451, 33960, 148346, 5332, 22426, 13159, 1470, 54260, 1211, 5332, 8632, 6, 4, 91799, 2819, 6428, 33809, 2808, 6, 148346, 15533, 2882, 19024, 710, 4838, 21733, 33809, 8903, 710, 5332, 2451, 8947, 3056, 19024, 1470, 54260, 1211, 5332, 8632, 152, 18225, 6, 94741, 63020, 5, 55242, 506, 12483, 112216, 26612, 4838, 54260, 26612, 26612, 16629, 2648, 33809, 4667, 1054, 46646, 40026, 6093, 6, 5, 6255, 119055, 13845, 7746, 55242, 506, 12483, 7265, 4838, 3131, 122623, 4838, 4838, 4838, 4838, 710, 22426, 159696, 1644, 1470, 30682, 4269, 33809, 2882, 6, 148346, 4113, 94626, 196332, 1211, 6, 5, 6, 5, 6, 5, 1470, 33809, 5666, 7369, 47567, 55242, 506, 12483, 1470, 75230, 2702, 6235, 36909, 710, 49008, 64044, 9213, 46244, 5332, 22426, 13159, 1470, 22426, 2808, 36419, 152848, 41764, 101503, 17645, 6, 5, 6, 5, 6, 5, 2451, 185143, 6, 174121, 850, 6, 4, 3944, 148346, 6093, 91799, 6, 5, 6681, 874, 54260, 1211, 1751, 159696, 22426, 18415, 26612, 71577, 101503, 17645, 3056, 42493, 36324, 2808, 657, 54260, 4944, 18415, 196511, 6, 4, 163139, 2808, 6428, 33809, 2808, 874, 54260, 16667, 2882, 4838, 5332, 33809, 64260, 12483, 6, 37016, 172398, 2882, 33809, 199250, 9213, 46244, 6, 4, 22753, 2808, 3056, 4838, 23847, 75230, 36419, 6319, 34882, 29060, 39340, 6, 5, 119055, 46646, 10339, 26612, 26612, 4838, 3131, 54260, 33809, 710, 132, 203387, 22492, 194734, 6, 80453 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 54260, 1644, 15533, 16, 6, 101608, 2451, 534, 292, 51723, 13804, 98833, 9213, 46244, 6681, 6, 4, 6, 148346, 2442, 34882, 33809, 33716, 22753, 2932, 6, 21106, 7611, 6, 5, 22753, 2808, 163139, 1644, 4838, 3131, 16932, 57619, 54260, 44478, 6, 5, 1470, 33809, 5666, 9424, 238144, 96986, 6, 4, 9424, 119718, 40697, 1211, 1470, 33809, 54561, 47567, 24857, 6, 148346, 1644, 54260, 148346, 12483, 6, 4, 22753, 2808, 3056, 23269, 148346, 4113, 4667, 55242, 46244, 42493, 1751, 54260, 1211, 1470, 33809, 5666, 8947, 3056, 1751, 159696, 2442, 3069, 31467, 2808, 46050, 8903, 1211, 230764, 9213, 46244, 71577, 13845, 1211, 1470, 33809, 5666, 6319, 54260, 1211, 3373, 4667, 6235, 50853, 42542, 874, 54260, 1211, 32899, 16932, 1470, 75230, 4667, 42493, 6235, 148346, 12483, 6, 5, 13159, 3056, 1470, 54260, 23269, 41764, 75230, 39293, 6, 5, 7369, 3056, 6235, 148346, 7972, 148346, 12483, 43649, 20616, 12483, 6, 59919, 210674, 4, 2808, 33809, 5666, 22753, 2808, 119055, 101503, 6, 4, 119055, 46646, 119055, 29060, 7369, 19024, 1470, 75230, 2702, 210674, 12483, 6, 4, 19024, 3056, 3523, 33809, 16932, 22492, 23093, 55242, 46244, 3523, 54260, 15231, 2932, 6, 5, 141943, 32792, 9934, 62067, 7369, 6255, 39484, 31467, 49481, 4838, 9719, 21338, 6, 5, 2451, 5332, 705, 2451, 6255, 119055, 13845, 1470, 30682, 1157, 104149, 220771, 12483, 6428, 33809, 81455, 10676, 102323, 12984, 6, 4, 36324, 6255, 105235, 506, 42493, 40611, 6235, 50853, 2819, 6, 148346, 54260, 2808, 20033, 3056, 198754, 51328, 123736, 42023, 6235, 50853, 1470, 75230, 4667, 6, 5, 21106, 74004, 24857, 6235, 50853, 6, 4, 119055, 46646, 7369, 6655, 6, 148346, 79238, 15231, 2865, 63532, 905, 6681, 124724, 6, 4, 6, 170098, 7369, 26612, 33809, 506, 26612, 4838, 159696, 4484, 6235, 148346, 12483, 6, 4, 7265, 4838, 23847, 13159, 53414, 3523, 35465, 119055, 29060, 1470, 30682, 657, 54260, 4944, 16932, 6, 109995, 2442, 33809, 112216, 1211, 7265, 9213, 46244, 4838, 16629, 2648, 33809, 4667, 6, 5, 2451, 8947, 3056, 1751, 159696, 2442, 32792, 6, 4, 7265, 10676, 174538, 119055, 109316, 1211, 20033, 49481, 6, 21106, 7611, 7511, 2882, 657, 75230, 13497, 115222, 8903, 1211, 10339, 33809, 1211, 9213, 46244, 657, 75230, 4852, 119055, 6093, 12483, 6, 5, 2451, 119055, 46646, 905, 54745, 1211, 6, 23093, 33809, 2882, 18225, 705, 2451, 8947, 3056, 6, 57277, 39340, 42493, 4269, 33809, 2882, 6, 5, 13159, 3056, 6, 238144, 16932, 41764, 75230, 39293, 6, 4, 220224, 2808, 220224, 49008, 6235, 148346, 7972, 148346, 12483, 6, 148346, 54260, 20315, 6, 59919, 236376, 230764, 4838, 54260, 7511, 8903, 6, 117397, 33809, 96986, 6, 5, 26612, 49920, 6, 4, 91799, 6, 4, 119055, 46646, 6255, 119055, 13845, 1285, 4667, 129165, 8903, 1211, 6, 5, 6093, 6319, 33809, 20911, 9213, 46244, 6, 68558, 1470, 33809, 5666, 119055, 77188, 7265, 1470, 33809, 23405, 16870, 33809, 50853, 6, 4, 119055, 46646, 119055, 29060, 22753, 2808, 26612, 8580, 2882, 1285, 220771, 12483, 6, 5, 905, 874, 54260, 1211, 32899, 16932, 119055, 29060, 1285, 4667, 119055, 109316, 1211, 6681, 1470, 54260, 1211, 1470, 54260, 2648, 34322, 2819, 24857, 26612, 15533, 6235, 119718, 21292, 5332, 123736, 148346, 6093, 1470, 30682, 119055, 29060, 3523, 34533, 1470, 75230 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2702, 28714, 4944, 12483, 6, 4, 3069, 31467, 364, 33809, 2808, 119055, 119273, 54260, 1211, 4151, 58826, 15388, 10339, 33809, 1211, 4151, 895, 16932, 6093, 97483, 4944, 16932, 6, 4, 3069, 31467, 10339, 33809, 1211, 4151, 6, 54260, 23405, 6093, 6093, 6, 5, 3111, 31467, 5332, 119055, 46646, 119055, 29060, 220224, 1211, 6, 4, 36324, 7369, 119055, 29060, 220771, 12483, 10676, 102323, 12984, 152, 4269, 33809, 2882, 6, 4, 55242, 506, 174314, 148346, 2882, 5332, 6255, 33960, 148346, 1470, 30682, 874, 54260, 1211, 895, 16932, 4113, 32887, 4944, 16932, 705, 905, 119055, 46646, 874, 54260, 16667, 2882, 33809, 705, 24857, 3056, 185040, 6, 71577, 45629, 23269, 6, 5, 132, 69803, 2932, 62067, 4113, 32054, 54260, 79981, 16, 7369, 2451, 4828, 292, 6093, 37826, 7746, 163139, 35189, 6, 149364, 210674, 152, 2451, 6, 17645, 6, 4, 292, 6, 35596, 59919, 2882, 7369, 49481, 4838, 143409, 4113, 41764, 75230, 39293, 4, 292, 6, 17645, 6, 4, 4838, 54260, 119055, 29060, 171433, 8903, 3149, 51723, 6, 5, 2451, 163139, 2808, 705, 292, 129165, 98833, 22753, 2808, 7265, 1751, 25207, 165354, 6, 4, 292, 1470, 33809, 5666, 6, 148346, 54260, 26612, 4838, 137218, 6, 54260, 23173, 91595, 6, 5, 6, 5, 6, 5, 2451, 220224, 26612, 7508, 33809, 506, 18640, 6, 4, 6, 31177, 28726, 6, 5, 6428, 33809, 2808, 6, 148346, 15533, 2882, 874, 54260, 1211, 17190, 148346, 12483, 2819, 4838, 8580, 6, 159696, 44779, 42493, 6, 59919, 148346, 54260, 96986, 6681, 6319, 54260, 23269, 2205, 4151, 6, 159696, 21295, 6, 5, 2451, 97483, 163139, 2808, 364, 54260, 16803, 8947, 705, 36324, 6428, 33809, 2808, 119055, 119273, 220224, 1211, 9213, 46244, 9174, 12483, 1054, 32887, 4838, 1054, 4838, 2451, 6255, 21776, 12984, 6, 4, 36324, 24857, 119055, 29060, 220224, 1211, 4838, 31249, 21292, 13845, 6, 4, 163139, 29771, 3069, 31467, 3523, 33809, 6319, 33809, 51723, 8300, 33809, 124724, 6, 4, 3944, 148346, 4113, 7508, 30946, 6, 4, 292, 6, 148346, 6093, 33809, 506, 41595, 7369, 9213, 46244, 6, 238144, 16932, 4838, 24295, 24621, 48904, 2808, 133324, 135118, 186797, 6, 5, 2451, 6255, 6, 59919, 105235, 506, 42493, 6, 5, 2451, 6428, 33809, 2808, 119055, 119273, 55242, 506, 12483, 6, 5, 6255, 42542, 6428, 54260, 1211, 1751, 159696, 82576, 5332, 1054, 4838, 4838, 2884, 85465, 148346, 4838, 22492, 57619, 12483, 162726, 17537, 6, 5, 8947, 6235, 506, 12483, 5332, 22426, 13159, 3069, 31467, 1470, 54260, 4667, 4231, 17310, 4113, 14856, 110970, 12483, 4231, 2451, 3523, 54260, 1211, 6, 4, 3069, 31467, 20033, 6235, 119718, 21292, 42493, 6, 5, 6255, 6, 94741, 63020, 220224, 2808, 42493, 5332, 4838, 33809, 5666, 6, 54260, 8580, 3131, 25603, 82576, 119055, 158291, 6, 17645, 119055, 109316, 1211, 6, 4, 18225, 47567, 3069, 31467, 9213, 67951, 6235, 506, 61621, 5332, 4838, 163139, 1644, 12483, 29771, 148346, 6093, 4231, 65482, 42493, 2819, 6255, 39484, 31467, 124724, 199250, 6235, 4852, 62067, 152, 6, 75230, 28726, 220224, 4838, 15533, 23050, 148346, 29789, 39293, 46244, 42493, 1751, 54260, 1211, 6, 5, 2451, 137765, 3056, 3523, 33809, 2882, 152, 6255, 119055, 13845, 119055, 6093, 12483, 9213, 46244, 77756, 1211, 5332, 119055, 13845, 119055, 29789, 12483, 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 ]
[ 1211, 4838, 54260, 23405, 20616, 6093, 6, 148346, 54260, 2808, 1470, 54260, 4667, 2205, 43649, 33809, 148346, 6, 5, 364, 54260, 13497, 42542, 2205, 6, 54260, 2702, 6, 54260, 2882, 4838, 2808, 33809, 5666, 36324, 6255, 119055, 13845, 119055, 6093, 12483, 1470, 54260, 1211, 4838, 54260, 23405, 20616, 6093, 6, 4, 119055, 109316, 1211, 49481, 4231, 33809, 5666, 8903, 874, 76632, 12483, 2808, 75230, 4667, 6235, 506, 51723, 6235, 506, 12483, 3069, 31467, 2808, 1470, 54260, 4667, 6, 4, 292, 81444, 1211, 119055, 29060, 1751, 75230, 1211, 6, 159696, 8903, 1211, 6, 21106, 9221, 91595, 6, 5, 13159, 3056, 6, 23173, 75230, 6293, 6235, 4484, 33809, 51723, 4838, 10918, 2882, 161459, 14856, 110970, 1470, 33809, 5666, 220224, 12483, 74806, 22426, 48775, 26612, 506, 64260, 230764, 221387, 6, 5, 220224, 364, 15907, 6235, 3111, 31467, 51723, 10339, 33809, 1211, 1470, 30682, 123736, 148346, 3131, 33809, 2648, 4838, 33809, 5666, 4838, 137218, 23173, 75230, 2702, 6235, 22492, 183216, 6, 5, 22680, 54260, 79981, 16, 364, 8580, 132, 2451, 534, 292, 5, 363, 95766, 234917, 193012, 6, 23173, 33809, 2050, 9174, 26632, 6, 111571, 6, 68566, 61541, 2648, 74806, 93449, 4838, 3131, 2648, 12984, 8300, 33809, 135227, 51369, 2865, 49008, 6, 5, 1285, 168155, 710, 9174, 26632, 6, 127827, 506, 2702, 132025, 8903, 3111, 31467, 51723, 55242, 46244, 32054, 54260, 16747, 32792, 2808, 33809, 5666, 150764, 6, 4, 36324, 7369, 3056, 55242, 46244, 3523, 53414, 7265, 1285, 168155, 41764, 101503, 17645, 2819, 123736, 148346, 6093, 6093, 163139, 76866, 6, 148222, 895, 16932, 4113, 40026, 6093, 6, 59919, 364, 54260, 1982, 26632, 3149, 12483, 6, 5, 7369, 9174, 26632, 1470, 30682, 22492, 4667, 6235, 35596, 59919, 2882, 7265, 6, 148222, 119055, 6093, 16932, 6, 4, 119055, 46646, 119525, 9174, 26632, 23050, 74004, 98833, 3069, 31467, 710, 156562, 1211, 2819, 1157, 6, 217790, 24755, 6, 148346, 158652, 73136, 2932, 33809, 90852, 9174, 26394, 17188, 657, 22426, 7511, 70503, 123131, 3149, 292, 6, 148346, 54260, 2808, 2808, 33809, 54561, 42572, 5594, 33716, 8248, 31467, 4667, 24857, 42493, 6, 4, 18225, 47567, 40026, 2442, 45521, 17800, 54260, 2442, 26632, 3149, 12483, 6, 148222, 2808, 23174, 4113, 8903, 6681, 6, 148222, 895, 16932, 4113, 6, 5, 86901, 1470, 75230, 148346, 91799, 97995, 24295, 61541, 2442, 163139, 1644, 119055, 6093, 12483, 2865, 54260, 1211, 4838, 54260, 2648, 34322, 1470, 33809, 5666, 1470, 75230, 148346, 7369, 163139, 1644, 39484, 31467, 12483, 874, 54260, 1211, 97483, 1982, 16932, 6681, 4838, 4113, 54260, 148346, 6, 4, 74004, 3523, 54260, 6255, 1470, 30682, 874, 54260, 1211, 895, 16932, 4113, 97483, 4944, 16932, 1157, 506, 7265, 3523, 35465, 1470, 33809, 5666, 19302, 54260, 35189, 148346, 2882, 16667, 2932, 6, 148346, 13845, 710, 41764, 124470, 448, 6, 5, 4151, 102323, 12984, 9174, 26632, 1470, 30682, 44064, 31467, 150764, 6, 4, 36324, 7369, 119718, 15350, 6, 148346, 13159, 6093, 6, 148222, 1470, 23174, 123073, 1470, 33809, 5666, 7265, 51328, 6, 238144, 110317, 3523, 35465, 84475, 141107, 42493, 6, 4, 192061, 1470, 30682, 135227, 51369, 15289, 6235, 35596, 59919, 2882, 64769, 48253, 88945, 1211, 6, 4, 36324, 24857, 2205, 6319, 54260, 1211, 145168, 1644, 42493, 6, 5, 4151, 102323 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12984, 2205, 4838, 159696, 4484, 6, 195054, 68561, 12483, 3069, 31467, 6, 147848, 33225, 6, 4, 9174, 26632, 1470, 30682, 14004, 148346, 6093, 6235, 23269, 109636, 1211, 6, 4, 1054, 46646, 135227, 51369, 15289, 6655, 23050, 64567, 2882, 6, 5, 7369, 6655, 9213, 3149, 2050, 8903, 3131, 33809, 20911, 49481, 4838, 122165, 1470, 33809, 5666, 6, 93704, 12415, 96986, 73256, 6, 4, 292, 8947, 6655, 3523, 34533, 6235, 85465, 175323, 109636, 1211, 6, 5, 6, 148346, 15533, 6, 141943, 32792, 6655, 6235, 2865, 33809, 4852, 2882, 91799, 4838, 54260, 5666, 119718, 15350, 7972, 49008, 8947, 47567, 220224, 1211, 22426, 113889, 15907, 7265, 1157, 42023, 6, 57277, 39340, 6, 5, 29060, 3056, 6235, 159696, 1211, 6, 148222, 6, 124470, 113889, 448, 6, 4, 163139, 29771, 8947, 221387, 3069, 31467, 6, 54260, 1211, 6, 5, 1157, 506, 506, 15907, 6, 71577, 15350, 33809, 4838, 148346, 710, 35044, 6, 80453, 26632, 119273, 5594, 33716, 6, 4, 6, 238144, 28726, 7369, 3056, 42493, 4838, 506, 41595, 127827, 13845, 22426, 127684, 710, 33809, 5666, 59461, 14856, 110970, 2819, 51328, 4151, 32899, 16932, 1470, 33809, 5666, 1285, 26612, 874, 33809, 2882, 16932, 151614, 148346, 12483, 26612, 54260, 26612, 1470, 54260, 6093, 6235, 25207, 4667, 2882, 2819, 1470, 33809, 5666, 18225, 6655, 6235, 207682, 6, 4, 3523, 75230, 2808, 6, 148222, 6, 159696, 21295, 156325, 15907, 7746, 6, 5, 710, 29060, 56169, 3056, 91799, 3523, 75230, 5666, 61541, 2648, 6235, 119718, 20961, 12483, 1470, 54260, 1211, 123736, 7201, 16932, 4838, 54260, 23405, 20616, 6093, 148346, 54260, 2808, 135227, 51369, 2865, 49008, 2205, 364, 75230, 4852, 6, 5, 10339, 147713, 2882, 6, 48904, 54260, 1211, 6319, 33809, 51723, 1751, 148346, 2442, 1470, 75230, 148346, 2205, 144754, 1211, 119055, 2808, 4667, 2205, 6, 148222, 32054, 54260, 4113, 43649, 33809, 16747, 12483, 6, 4, 162726, 35596, 7746, 1470, 33809, 13497, 150839, 125942, 12483, 144754, 4151, 110573, 10125, 6, 4, 1470, 75230, 4667, 7265, 9213, 46244, 1751, 159696, 82576, 7508, 30946, 6, 5, 7265, 1470, 30682, 3069, 31467, 2808, 132, 2808, 147713, 62067, 4113, 32054, 54260, 79981, 16, 34076, 54260, 4667, 2451, 616, 292, 21847, 54260, 4667, 39484, 31467, 4113, 132025, 8903, 506, 54260, 148346, 12483, 3069, 31467, 6235, 506, 12483, 3069, 31467, 220224, 2808, 4231, 33809, 5666, 8903, 6, 69181, 129165, 2865, 20315, 4838, 80453, 7682, 76526, 10918, 4484, 13159, 6, 4, 1470, 33809, 26394, 29171, 13159, 1470, 33809, 5666, 41764, 45629, 119718, 15533, 20961, 2702, 41764, 33809, 1211, 6, 148222, 6, 71577, 2882, 54260, 165354, 5332, 119718, 23829, 6, 148222, 41764, 2808, 20315, 3056, 6, 5, 6, 148222, 6, 80453, 7682, 76526, 10918, 4484, 13159, 10339, 33809, 1211, 6, 148222, 6, 148346, 33809, 25207, 1211, 220224, 49008, 8903, 119718, 20961, 12483, 6, 148346, 37016, 62067, 7265, 6, 148222, 32054, 54260, 1644, 54260, 16667, 6, 4, 6, 238144, 28726, 1285, 39293, 9174, 2808, 148346, 12483, 41764, 54260, 26612, 6, 54260, 93975, 4484, 75230, 23741, 3373, 42695, 506, 3069, 31467, 220224, 123073, 19302, 54260, 35189, 152, 6, 148222, 1470, 33809, 26394, 29171, 13159, 364, 23173, 12483, 4838, 54260, 710, 29659, 33809, 16747, 12483, 1470, 33809, 112304, 34533, 6, 4, 6, 74004, 220224, 49008 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 220224, 2808, 199250, 6235, 119718, 21292, 364, 75230, 4852, 112216, 75230, 152848, 4113, 2808, 33809, 5666, 6, 148222, 41764, 45629, 119718, 15533, 20961, 2702, 10339, 147713, 12483, 220224, 2808, 6, 148346, 2442, 54260, 183216, 6, 21106, 44478, 1644, 54260, 2808, 6, 149364, 7201, 33809, 109636, 26612, 710, 12483, 2808, 33809, 5666, 41764, 33809, 13982, 2702, 6, 4, 292, 4852, 54260, 49008, 220224, 2808, 199250, 6235, 119718, 21292, 4269, 33809, 18415, 205814, 4838, 1470, 33809, 5666, 6, 238144, 18415, 26612, 1054, 51723, 147062, 54745, 1211, 123736, 221704, 9174, 2808, 148346, 12483, 1470, 54260, 23269, 1470, 33809, 68959, 107581, 6, 4, 4838, 93975, 6, 149364, 48904, 71804, 137218, 23405, 5332, 2808, 33809, 2050, 6, 23173, 54260, 1211, 3069, 31467, 6319, 33809, 51723, 3069, 31467, 4838, 80453, 54260, 1644, 54260, 1211, 705, 24857, 3056, 1751, 75230, 1211, 36324, 34882, 17537, 41764, 12415, 76776, 54260, 6, 75322, 112711, 23269, 2882, 21422, 3149, 2882, 3069, 31467, 1470, 54260, 104149, 6, 5, 364, 32829, 5666, 6, 32670, 2882, 3069, 31467, 147582, 8903, 1211, 1470, 33809, 5666, 5332, 2808, 6, 238144, 18415, 26612, 4113, 14004, 6681, 119055, 46646, 220224, 49008, 220224, 2808, 40026, 6093, 42493, 6235, 22492, 183216, 705, 292, 6, 238144, 28726, 4838, 92605, 4113, 6, 54260, 26612, 17645, 194734, 9174, 26632, 6235, 4852, 33809, 40920, 220224, 2808, 1470, 75230, 2702, 3069, 31467, 1054, 54260, 4944, 12483, 6, 4, 1470, 33809, 5666, 364, 54260, 13497, 6655, 5332, 137218, 4838, 137218, 8903, 3111, 31467, 51723, 874, 101146, 42355, 6, 5, 6, 21106, 74004, 10339, 147713, 12483, 39384, 2808, 4838, 54260, 5666, 35596, 32792, 23050, 710, 12483, 4231, 33809, 23173, 30946, 12483, 6, 4, 1054, 54260, 28726, 6, 148346, 54260, 2808, 220224, 2808, 6, 4, 6, 148222, 51328, 12483, 6, 4, 3056, 1470, 75230, 2702, 8903, 4484, 33809, 96986, 1211, 36324, 5332, 137218, 68313, 24857, 24857, 6, 148222, 1751, 54260, 23269, 6, 4, 42493, 657, 71512, 6, 5, 51328, 8947, 15864, 15907, 42493, 4838, 75230, 2882, 8009, 6093, 1054, 54260, 28726, 39484, 31467, 4113, 220224, 2808, 7746, 1470, 33809, 13497, 6093, 202446, 12483, 7265, 6, 148346, 137218, 12483, 6, 92605, 33809, 71945, 6, 148346, 54260, 2808, 135227, 51369, 2865, 49008, 3056, 6235, 159696, 1211, 4838, 164046, 2050, 123736, 1982, 17171, 31467, 21292, 6, 15907, 33809, 710, 4838, 8903, 16803, 220224, 49008, 6235, 159696, 1211, 10339, 33809, 1644, 6, 21106, 28726, 169532, 1470, 33809, 5666, 4151, 77014, 101296, 4113, 26612, 26612, 4231, 40096, 29659, 186797, 6235, 4852, 15435, 2882, 6, 5, 31249, 7758, 51369, 51723, 6, 4, 9174, 26632, 2702, 7369, 3056, 6235, 159696, 1211, 1470, 54260, 1211, 6, 99766, 2808, 29789, 13805, 40697, 26612, 14004, 2648, 6, 4, 6655, 24857, 10339, 33809, 1211, 54745, 80885, 4113, 8903, 1211, 42493, 6235, 23173, 2882, 6, 5, 7369, 162726, 35596, 4838, 137218, 40096, 17537, 7265, 4151, 364, 104274, 1470, 33809, 5666, 7746, 36324, 112711, 6, 207682, 152, 3523, 33809, 6, 4, 119055, 34322, 67882, 15907, 18225, 7265, 16580, 83182, 705, 36324, 8947, 3056, 6, 148222, 68273, 4113, 36324, 75230, 2819, 18225, 42542, 6428, 47351, 4838, 26612, 25603, 15907, 42493, 14004, 148346, 6093, 6, 87311, 4944, 12483, 6, 5, 1470, 33809, 5666, 2205, 68889 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 26394, 1211, 6655, 7369, 7746, 23050, 23822, 84577, 4838, 6, 54260, 137218, 28726, 42023, 39484, 31467, 6255, 199250, 1751, 75230, 1211, 45521, 65442, 48340, 2882, 6, 4, 1470, 33809, 5666, 7508, 30946, 12483, 292, 2007, 54260, 710, 41764, 54260, 710, 5332, 97634, 46685, 119055, 29060, 7746, 119055, 6093, 10339, 33809, 1211, 6, 148222, 4231, 33809, 5666, 8903, 14856, 110970, 12483, 132025, 21733, 4113, 109636, 1211, 5332, 5332, 22426, 13159, 13159, 47567, 41764, 46646, 12483, 6, 4, 6681, 119055, 46646, 42493, 705, 13159, 3056, 7746, 36324, 75230, 6681, 26612, 710, 148346, 6093, 234917, 119055, 2808, 4944, 12483, 6, 5, 132, 2808, 147713, 62067, 4113, 6, 128750, 54260, 79981, 130170, 2451, 534, 292, 5, 418, 26, 2808, 33809, 13497, 6093, 6, 148222, 6, 21106, 28726, 4231, 33809, 5666, 8903, 14856, 110970, 12483, 6, 4, 119055, 13845, 107581, 10339, 147713, 12483, 6, 148346, 48350, 33809, 148346, 12483, 31249, 7758, 51369, 2865, 16667, 364, 75230, 4852, 4, 123736, 10069, 69855, 6, 148346, 13159, 6093, 3069, 31467, 220771, 12483, 6, 4, 135227, 51369, 2865, 16667, 97483, 4944, 16932, 6, 4, 29771, 35189, 49481, 6, 148346, 13159, 6093, 6, 5, 185040, 6, 148222, 1751, 54260, 23269, 7508, 30946, 12483, 6, 4, 6, 59919, 29659, 54260, 2882, 7746, 6, 4, 3056, 8903, 4113, 12483, 91799, 17824, 24295, 61541, 2648, 6, 4, 119055, 13845, 104238, 3056, 6235, 240863, 12483, 4838, 506, 6093, 6, 4, 163139, 2808, 18225, 4852, 84577, 5332, 44917, 9934, 34882, 112711, 22492, 2050, 6, 59929, 22492, 33104, 32829, 152, 7369, 3056, 199250, 1157, 506, 26, 2702, 77756, 1211, 6, 5, 51328, 238144, 28726, 7369, 3056, 6235, 159696, 1211, 14856, 46244, 74806, 145702, 2702, 15864, 49209, 163139, 2808, 60980, 119718, 69803, 6093, 6, 4, 84475, 238144, 220224, 2808, 10339, 147713, 12483, 24857, 132025, 2442, 33809, 55823, 1211, 2819, 14856, 46244, 19302, 54260, 5666, 105235, 21338, 158548, 6681, 6, 21106, 28726, 2808, 33809, 148346, 75230, 8903, 6, 74004, 39484, 31467, 12483, 7746, 6, 148222, 9213, 148346, 12415, 8903, 7369, 1644, 75230, 148346, 2882, 6, 4, 9213, 148346, 6093, 1470, 30682, 119055, 12483, 21106, 26612, 710, 3069, 31467, 6, 207682, 2819, 7369, 105884, 2882, 42493, 36324, 75230, 6, 4, 163139, 2808, 8947, 147062, 3069, 31467, 220224, 1211, 6, 4, 7369, 15907, 56169, 42493, 36324, 75230, 163139, 2808, 6235, 506, 69596, 5666, 3056, 2819, 7369, 6, 238144, 2702, 42493, 10339, 33809, 1211, 19024, 24621, 50856, 91595, 6, 5, 3131, 22426, 710, 41764, 147713, 2882, 7369, 6235, 506, 12483, 44917, 69106, 6, 48904, 29659, 104274, 24295, 132025, 2932, 21660, 75230, 8903, 1211, 2819, 123736, 148346, 6093, 2205, 9719, 96986, 119055, 2808, 4667, 6, 4, 119055, 12483, 7369, 10339, 147713, 2882, 9424, 54260, 2882, 39484, 31467, 12483, 6, 4, 10339, 147713, 2882, 7369, 7746, 1470, 75230, 4667, 23173, 54260, 1211, 657, 75230, 109636, 1211, 2205, 6, 54260, 1211, 199720, 12483, 41764, 158291, 710, 126968, 6, 4, 2205, 14856, 54574, 1470, 54260, 5666, 8903, 101080, 31467, 2882, 56169, 6, 5, 1644, 171428, 5332, 4151, 110573, 10125, 6, 4, 10339, 147713, 2882, 8947, 123736, 148346, 37016, 1644, 12483, 6319, 33809, 4484, 186797, 2819, 1470, 33809, 5666, 119055, 12483, 4231, 63593, 122165, 2882, 22426, 171428, 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 ]
[ 4838, 54260, 23405, 73381, 49008, 6, 148222, 221895, 205814, 6, 4, 119055, 13845, 107581, 1285, 49008, 54260, 54260, 2882, 35596, 506, 54260, 75386, 657, 54260, 158548, 6235, 506, 6093, 1470, 33809, 5666, 10339, 147713, 12483, 4269, 53414, 42355, 6, 4, 36324, 6, 148222, 10339, 147713, 12483, 137218, 364, 71577, 12483, 4838, 2932, 170098, 16175, 3149, 54260, 2808, 1470, 33809, 2932, 49481, 7265, 3069, 31467, 6, 148346, 54260, 2702, 12483, 6, 4, 292, 10339, 147713, 12483, 6, 54260, 14004, 63593, 122165, 28320, 39484, 31467, 12483, 43649, 175722, 7746, 9213, 148346, 6093, 1470, 30682, 4838, 148346, 710, 35044, 657, 33809, 73215, 2932, 3069, 31467, 15864, 4944, 12483, 6, 5, 13159, 3056, 1751, 75230, 1211, 6, 48904, 26632, 33809, 2442, 6235, 39293, 2882, 7611, 6, 4, 36324, 119055, 6093, 8947, 163139, 1644, 6, 18167, 364, 54260, 148346, 12483, 6, 4, 4852, 33809, 22426, 2882, 10676, 23050, 171665, 80885, 1211, 24012, 13982, 18640, 3069, 31467, 15864, 4944, 12483, 2819, 43649, 13845, 21295, 1470, 75230, 2702, 6, 148222, 45521, 506, 44478, 159696, 1644, 17645, 4231, 114436, 6655, 1470, 33809, 5666, 7369, 42493, 2819, 19024, 2648, 33809, 81455, 6, 4, 874, 54260, 13497, 7369, 6, 4, 43649, 54260, 98833, 16870, 2205, 4838, 23829, 1470, 75230, 8903, 1211, 10339, 33809, 1211, 10676, 6, 4, 7265, 6, 159696, 51723, 7369, 105884, 2882, 6, 5, 1470, 33809, 5666, 36324, 4231, 33809, 5666, 8903, 24621, 110970, 12483, 6319, 33809, 51723, 6, 23173, 54260, 1211, 3069, 31467, 32054, 54260, 7972, 16667, 6, 4, 6, 59919, 105235, 506, 2882, 9934, 98071, 4667, 6, 4, 6, 148346, 63593, 5594, 2882, 7746, 710, 114436, 5332, 6428, 59929, 32054, 54260, 79981, 14856, 46244, 6235, 61541, 1644, 12483, 3069, 31467, 2808, 220224, 1211, 6, 4, 163139, 2808, 6, 148222, 6, 21106, 28726, 26612, 33809, 22426, 710, 33809, 8903, 1054, 1470, 33809, 5666, 4269, 69181, 7746, 657, 75230, 148346, 12483, 3056, 3069, 31467, 6235, 2865, 54260, 1211, 1470, 33809, 5666, 42493, 8009, 13845, 6, 4, 6, 74004, 26612, 33809, 22426, 2882, 18225, 6, 109636, 101608, 6, 17645, 119132, 3069, 31467, 1211, 24377, 22492, 29025, 12483, 2819, 5332, 22426, 13159, 220771, 12483, 4838, 55823, 506, 44478, 26612, 119718, 6293, 10676, 9424, 238144, 96986, 6, 170098, 2882, 7746, 6, 148346, 13159, 6093, 7213, 165354, 6, 5, 9174, 26632, 2702, 36324, 18225, 47567, 132, 203387, 76776, 2932, 18415, 32054, 54260, 79981, 16, 19024, 2882, 2451, 611, 292, 2442, 46646, 6, 148346, 4113, 2808, 33809, 33716, 506, 54260, 1644, 12483, 6, 4, 3056, 24857, 55242, 46244, 1470, 33809, 76776, 33716, 18640, 1470, 33809, 5666, 3523, 98002, 4231, 6, 137218, 92605, 54260, 59461, 17806, 20911, 42493, 29434, 75230, 6293, 6, 4, 1285, 168155, 3056, 6, 150271, 4151, 17824, 75230, 101608, 8009, 13845, 207682, 2808, 33809, 5666, 7369, 42542, 81444, 4667, 42493, 6, 59919, 99176, 8903, 1211, 10676, 9424, 238144, 18415, 16667, 22426, 55823, 506, 28726, 26612, 4838, 33809, 59461, 874, 33809, 4852, 19024, 2050, 6, 23173, 75230, 2702, 220771, 12483, 6, 5, 2808, 33809, 13497, 6093, 6, 148222, 6, 21106, 28726, 205814, 6, 4, 199145, 10339, 147713, 12483, 6, 23173, 54260, 1211, 6319, 33809, 51723, 6, 54260, 6, 54260, 26612, 22680, 54260, 1644, 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, 6, 4, 39484, 31467, 12483, 7746, 9213, 148346, 6093, 364, 75230, 22426, 2882, 1470, 75230, 2702, 2932, 21660, 54260, 4944, 13497, 9424, 26612, 905, 26612, 26612, 4231, 33809, 5666, 8903, 24621, 110970, 12483, 41764, 45629, 119718, 15533, 20961, 2702, 6, 4, 119055, 13845, 107581, 10339, 147713, 12483, 123736, 7201, 16932, 6319, 33809, 51723, 186046, 6, 54260, 26612, 21106, 28726, 123736, 710, 148346, 2442, 71512, 1470, 33809, 5666, 119055, 13845, 107581, 10339, 147713, 12483, 9213, 148346, 6093, 364, 75230, 22426, 2882, 7746, 4838, 33809, 194734, 26612, 506, 14081, 96986, 7265, 3944, 49008, 6, 5, 119055, 12483, 6319, 54260, 59461, 10339, 147713, 2882, 42493, 220224, 1211, 6, 4, 10339, 147713, 12483, 6, 54260, 26612, 4838, 137218, 6093, 99611, 12483, 2205, 3944, 148346, 13159, 1470, 75230, 92904, 7682, 165354, 1470, 33809, 5666, 2205, 657, 75230, 148346, 119055, 6093, 16932, 5, 2451, 3944, 148346, 172398, 159696, 33716, 506, 657, 71512, 711, 292, 506, 64260, 1470, 54260, 1211, 874, 39083, 132025, 8903, 506, 54260, 148346, 12483, 4838, 54260, 23269, 26612, 7201, 33809, 1211, 6, 148222, 41764, 45629, 119718, 15533, 20961, 2702, 6, 4, 75601, 13159, 895, 7201, 43178, 148346, 54260, 1211, 6, 4, 119055, 12483, 220224, 2808, 1054, 23173, 12483, 4838, 54260, 75230, 1211, 2808, 6, 1211, 21422, 2702, 46685, 1470, 33809, 5666, 7508, 54574, 119055, 20961, 19024, 1211, 6, 59919, 96986, 2205, 21374, 4667, 6, 4, 4838, 33809, 5666, 119055, 12483, 6, 12483, 6, 137218, 96256, 75230, 2702, 6235, 105235, 1644, 21295, 56170, 9213, 46244, 98664, 46985, 57619, 7682, 13159, 7265, 45521, 93509, 24295, 65482, 6, 109636, 76776, 7201, 33809, 46685, 710, 12483, 6, 4, 1751, 91595, 44779, 7265, 41764, 33809, 13982, 4113, 1470, 33809, 5666, 7265, 6, 148346, 112711, 148346, 2808, 66293, 6, 4, 1054, 3944, 109636, 22426, 22680, 54260, 79981, 6, 4, 29566, 20315, 1211, 6, 4, 163139, 24152, 32792, 6, 4, 119055, 46646, 36324, 2808, 6, 148346, 12415, 76866, 62067, 119055, 12483, 61397, 2882, 6, 109995, 5332, 75230, 2808, 18225, 152036, 6, 4, 2205, 874, 34533, 711, 9213, 46244, 220224, 2882, 74806, 2808, 109636, 1211, 3069, 31467, 17190, 148346, 12483, 4838, 8580, 23847, 75230, 2702, 23173, 15231, 8903, 3373, 14081, 226976, 7265, 15864, 74813, 13159, 1470, 33809, 5666, 1157, 4484, 54260, 12483, 6, 23173, 33809, 2050, 8248, 31467, 4667, 5332, 1751, 93704, 12483, 119718, 710, 24152, 32792, 6, 4, 119055, 46646, 6319, 54260, 59461, 6, 238144, 2702, 42493, 6, 4, 163139, 2808, 1470, 54260, 4667, 3069, 31467, 1751, 40096, 26394, 1211, 5332, 6, 238144, 2808, 54260, 4667, 3069, 31467, 4838, 40920, 12483, 6, 5, 9213, 46244, 6655, 6235, 141353, 23741, 6, 54260, 1211, 7508, 26, 10498, 6093, 109316, 42572, 24295, 39340, 71804, 29659, 54260, 16667, 6, 4, 10676, 3523, 109600, 2702, 6, 40096, 115536, 6093, 2819, 6, 148222, 17824, 13159, 18415, 6, 93704, 13845, 119055, 14081, 96986, 112216, 15350, 12483, 64044, 1470, 54260, 4667, 6, 5, 6, 5, 6, 5, 119055, 14081, 96986, 7746, 1751, 26632, 26394, 1211, 34076, 7682, 32792, 6, 4, 1470, 54260, 6093, 4838, 208048, 4231, 33809, 26612, 8903, 119718, 710, 49008, 6, 5, 9213, 46244, 220224, 2882, 199250, 6, 80453, 192900, 6, 48904, 25207, 156325, 6, 4, 9213 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 46244, 6655, 364, 17537, 6319, 54260, 23269, 29771, 506, 97594, 4944, 4484, 54260, 2882, 3069, 31467, 4838, 14004, 10069, 3131, 192544, 6, 4, 5332, 46244, 12483, 119055, 101503, 711, 119718, 43590, 25207, 16747, 1285, 104149, 874, 182759, 17410, 2932, 3056, 657, 71512, 6235, 4852, 13159, 12483, 1470, 33809, 5666, 6655, 4838, 75230, 2882, 8903, 5666, 54260, 2882, 230764, 6, 48904, 54260, 25491, 56417, 1470, 54260, 1211, 17824, 75230, 2702, 4838, 33716, 18640, 13159, 6, 148346, 145161, 6, 4, 6, 159696, 7972, 12483, 4838, 8580, 23173, 54260, 1211, 2205, 68273, 4113, 6, 5, 22753, 2808, 364, 77188, 6, 148346, 71512, 7508, 54260, 2648, 1470, 33809, 5666, 24857, 193042, 48775, 16175, 48904, 148346, 710, 2205, 14004, 46244, 6681, 6, 128750, 54260, 20315, 6, 5, 6, 141943, 32792, 7508, 33809, 23741, 22753, 2808, 7746, 123736, 148346, 6, 4, 6, 238144, 28726, 4838, 12483, 6, 137218, 8580, 45629, 4113, 199145, 4231, 13159, 3056, 6, 35596, 59919, 1211, 12, 22492, 147713, 62067, 4113, 32054, 54260, 79981, 16, 364, 77188, 2451, 364, 77188, 1285, 4667, 230764, 49920, 2442, 895, 7201, 43178, 148346, 54260, 1211, 6, 4, 7265, 1470, 54260, 123073, 29659, 54260, 4944, 13845, 54260, 12483, 15, 3149, 5666, 36677, 16, 6, 5, 6, 64260, 36324, 13845, 107581, 7508, 54260, 2648, 152036, 9213, 46244, 199250, 3069, 31467, 6, 21106, 28726, 80453, 54260, 1644, 54260, 16667, 4838, 54260, 123073, 6, 148346, 37016, 112711, 194734, 6, 5, 18225, 45521, 105235, 506, 2882, 6, 4, 3523, 34533, 92983, 6, 5, 2451, 119055, 46646, 105884, 2882, 9213, 46244, 6, 4, 9181, 23269, 1470, 53171, 22426, 2808, 119718, 22492, 711, 9213, 46244, 47567, 2882, 24857, 74004, 8903, 1211, 5332, 6, 5, 6, 5, 6, 5, 1054, 22492, 46244, 32792, 6, 4, 9213, 46244, 6, 148346, 13845, 54260, 158548, 2882, 205026, 6, 4, 36324, 9213, 46244, 6319, 35596, 205026, 36909, 6093, 21847, 54260, 4944, 12483, 7265, 221895, 16175, 75230, 8903, 7511, 40920, 2702, 12483, 6, 4, 10498, 54260, 10813, 6093, 6, 4, 119055, 13845, 107581, 7508, 54260, 20315, 1211, 7511, 2882, 24857, 6, 4, 119055, 46646, 220224, 2808, 874, 54260, 49008, 6, 5, 42493, 1751, 75230, 1211, 55242, 506, 2882, 9213, 46244, 42493, 1470, 54260, 1211, 6, 4, 36324, 2865, 54260, 23269, 6, 148346, 75230, 2648, 6, 195054, 12483, 10339, 33809, 1211, 49920, 29771, 12483, 705, 36324, 24857, 119055, 46646, 6255, 7508, 54260, 2648, 6, 4, 3056, 54260, 71512, 26612, 7369, 16667, 2882, 705, 2451, 6255, 874, 54260, 1211, 6, 4, 148346, 21106, 2648, 36324, 9213, 148346, 119055, 13845, 7746, 123736, 148346, 39340, 46244, 12483, 6, 4, 119055, 29060, 14004, 46244, 220771, 12483, 874, 54260, 1211, 1751, 159696, 82576, 6, 17800, 165354, 6, 148222, 55242, 1644, 148346, 4113, 119055, 6093, 16932, 6, 5, 2451, 6255, 1470, 54260, 6093, 1751, 159696, 82576, 711, 6255, 55242, 1644, 7265, 9213, 46244, 7508, 54260, 20315, 1211, 36324, 13845, 104238, 54260, 2648, 5332, 119055, 46646, 105884, 2882, 9213, 46244, 705, 9213, 46244, 874, 54260, 13497, 2205, 4151, 88771, 6, 4, 36324, 4838, 76866, 29789, 33809, 5666, 8903, 14856, 110970, 12483, 6, 4, 119055, 13845, 107581, 6319, 33809, 51723, 6, 23173, 54260, 1211, 4838, 506, 6093, 2205, 1470, 54260, 6093 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 43649, 33809, 148346, 6, 4, 8903, 506, 12483, 24857, 3069, 31467, 3944, 148346, 9213, 46244, 705, 4838, 55823, 711, 215031, 19302, 54260, 5666, 105235, 18415, 1644, 36326, 4231, 35596, 33809, 126968, 6, 4, 710, 15750, 46646, 9213, 46244, 41764, 12130, 3056, 1470, 54260, 23405, 37016, 75230, 39340, 21295, 2205, 14856, 54574, 1470, 33809, 5666, 9213, 506, 25207, 14779, 118025, 8580, 6, 148346, 33809, 1644, 148346, 79238, 203387, 47332, 2702, 6, 4, 1054, 46646, 42542, 7265, 4838, 24621, 110970, 12483, 6, 4, 24857, 364, 54260, 16803, 6, 4, 874, 57277, 26612, 54260, 13497, 159696, 21295, 93975, 1211, 4231, 33809, 183216, 73095, 110970, 12483, 6, 4, 6319, 54260, 1211, 9424, 238144, 2808, 119055, 20961, 16932, 42493, 7508, 54260, 20315, 1211, 6, 5, 4113, 59929, 3056, 1470, 75230, 4667, 4838, 24621, 110970, 106, 8947, 3056, 6, 57277, 39340, 4113, 6, 48904, 42410, 2808, 7544, 76776, 9424, 119718, 40697, 1211, 4838, 54260, 4667, 2808, 33809, 5666, 9213, 46244, 163139, 2808, 9424, 119718, 40697, 1211, 169532, 1470, 33809, 5666, 112389, 2882, 6, 4, 5332, 46244, 12483, 119055, 101503, 6, 5, 230764, 26612, 5594, 26612, 6, 92605, 33809, 4484, 6235, 148346, 186797, 6, 4, 119055, 29060, 18225, 220771, 12483, 6, 4, 22753, 2808, 3056, 6235, 85465, 20315, 159696, 2882, 8903, 4113, 23173, 12483, 5, 2205, 119055, 14081, 2648, 6, 4, 2205, 4838, 45629, 63020, 6, 4, 292, 1470, 33809, 5666, 230764, 1470, 54260, 4667, 119055, 29060, 18225, 21847, 75230, 6293, 220771, 12483, 6, 4, 1470, 98071, 46244, 6655, 7746, 7369, 8300, 75230, 8903, 1211, 2205, 41764, 20961, 15533, 6, 5, 9213, 46244, 55242, 506, 2882, 94741, 4667, 1470, 75230, 2702, 7508, 54260, 1211, 6, 91595, 4113, 64751, 57619, 33809, 39293, 20260, 2808, 6, 4, 230764, 874, 54260, 1211, 119055, 101503, 711, 2451, 364, 77188, 1751, 75230, 1211, 230764, 6, 4, 49920, 2442, 45223, 7201, 43178, 148346, 54260, 1211, 6, 4, 292, 13804, 98833, 1470, 30682, 14004, 148346, 6093, 7508, 71512, 22639, 20315, 2050, 22753, 2808, 6655, 10339, 33809, 1211, 6428, 119273, 6, 159696, 8903, 1211, 6235, 119718, 158291, 6, 4, 7369, 47567, 238144, 96986, 7508, 54260, 20315, 1211, 2205, 10676, 6, 207682, 6, 4, 6, 238144, 28726, 22753, 2808, 119055, 20961, 185040, 55242, 46244, 45521, 164863, 110317, 2882, 24857, 3069, 31467, 49920, 12483, 6, 5, 132, 69803, 2932, 62067, 4113, 32054, 54260, 79981, 16, 64769, 48253, 69127, 41595, 2451, 534, 6, 7961, 64769, 48253, 33809, 50853, 41595, 6, 4, 32054, 54260, 79981, 6, 4, 6255, 42542, 42493, 1470, 75230, 29111, 6093, 12483, 5332, 4838, 33809, 26612, 22680, 54260, 2808, 7746, 9213, 148346, 6093, 6, 148222, 6235, 28726, 8903, 5927, 54260, 2882, 6, 4, 119055, 46646, 6655, 7746, 874, 54260, 5332, 41595, 8903, 28714, 16803, 6, 4, 119055, 46646, 6319, 54260, 59461, 3056, 42493, 2808, 1470, 33809, 5666, 6255, 42542, 1470, 54260, 4667, 1470, 75230, 2702, 3523, 54260, 12483, 2865, 54260, 1211, 55202, 6, 5, 119055, 46646, 170479, 12483, 20033, 7746, 19024, 6, 59461, 12483, 705, 6255, 874, 33809, 4852, 4838, 54260, 710, 6, 71577, 12483, 74004, 8903, 1211, 152, 6255, 10184, 46244, 185040, 4838, 506, 52480, 17017, 40697, 2702, 45521, 48974, 110317, 12483, 1285, 22753, 15231, 141943, 24295 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 23269, 148346, 12483, 1470, 54260, 4667, 6, 5, 6, 5, 6, 5, 5332, 22426, 13159, 1470, 54260, 6093, 107189, 35189, 6, 148346, 105330, 202745, 205026, 115825, 144581, 22426, 4231, 4838, 4838, 2808, 54260, 6093, 10498, 54260, 4944, 13845, 4269, 34533, 20033, 6, 23173, 54260, 1211, 4838, 148346, 14081, 74004, 2050, 2205, 6, 21106, 28726, 874, 54260, 23269, 4269, 54260, 17645, 26612, 5332, 2808, 33809, 5666, 36324, 1470, 54260, 6093, 1751, 159696, 82576, 6235, 506, 2882, 6, 23173, 54260, 1211, 3056, 5332, 22426, 13159, 6, 238144, 4838, 119718, 2808, 92605, 12483, 26612, 105780, 82576, 6093, 119055, 158291, 6, 23173, 54260, 1211, 2205, 43649, 33809, 148346, 2819, 8947, 119055, 77188, 5332, 22426, 13159, 4838, 7972, 29060, 4838, 26612, 75230, 2648, 33809, 20260, 13845, 6, 4, 4838, 55823, 1211, 68889, 26394, 1211, 36324, 75230, 1470, 33809, 5666, 2865, 33809, 23093, 18640, 6, 4, 9174, 26632, 2702, 215594, 1211, 220224, 4838, 33809, 5666, 22753, 2932, 16580, 9134, 6, 5, 6, 17645, 6, 4, 34076, 7682, 32792, 119055, 29060, 220224, 1211, 4231, 114436, 6, 4, 119055, 13845, 104238, 1054, 29060, 42355, 4838, 137218, 4113, 21106, 4113, 148346, 43178, 81860, 54260, 16747, 6, 5, 13159, 6655, 7746, 6235, 73381, 41595, 6, 148222, 6, 23093, 9221, 1470, 33809, 5666, 8947, 2205, 4838, 710, 119718, 1211, 15622, 22426, 22426, 68566, 5666, 61541, 2648, 2205, 220224, 1211, 14856, 506, 186461, 12483, 4, 41764, 158291, 2808, 1470, 33809, 5666, 220224, 1211, 14856, 54574, 93975, 11211, 21338, 1054, 6, 12483, 8903, 506, 2882, 34076, 54260, 4667, 3069, 31467, 3069, 31467, 4151, 110573, 10125, 6, 4, 7508, 54260, 40920, 9213, 46244, 6, 148222, 364, 104274, 6, 4, 364, 15907, 23050, 101296, 194734, 22426, 13159, 36324, 13845, 2882, 71512, 6, 68566, 136775, 4113, 4151, 55242, 506, 186797, 10676, 895, 7201, 43178, 148346, 54260, 1211, 5332, 4838, 33809, 93704, 15533, 6093, 6655, 163139, 35189, 4838, 25616, 33809, 51723, 6319, 33809, 4484, 6235, 207682, 230764, 1470, 30682, 5332, 6093, 6235, 506, 2882, 123736, 148346, 3069, 31467, 2442, 7682, 6, 4, 23050, 506, 63532, 7508, 54260, 20315, 1211, 7265, 7508, 30946, 12483, 5332, 119055, 13845, 23269, 4838, 47351, 6093, 16803, 6, 23173, 54260, 1211, 10339, 33809, 1211, 21374, 4667, 6, 5, 2451, 119055, 6093, 3056, 24857, 4151, 9934, 34882, 14856, 54574, 705, 292, 129165, 98833, 3944, 49008, 895, 22426, 22426, 22426, 54260, 1211, 95766, 6, 59919, 119718, 2808, 33809, 83182, 33809, 5666, 5666, 6, 5, 1644, 71512, 3056, 6235, 159696, 1211, 2205, 6, 59919, 28726, 8903, 5927, 54260, 2882, 6, 4, 6655, 42493, 6, 138455, 26612, 26612, 33809, 22426, 2882, 5332, 119718, 120467, 3069, 31467, 2808, 6, 35596, 59919, 1211, 6, 5, 36324, 22753, 2808, 119055, 158291, 39484, 31467, 12483, 4838, 148346, 1644, 33809, 57277, 132025, 71577, 109636, 1211, 4231, 159696, 21295, 22753, 2808, 119055, 6093, 12483, 7508, 75230, 2882, 10339, 33809, 1211, 6, 95494, 152848, 6, 5, 2451, 119055, 6093, 3056, 24857, 705, 1470, 54260, 6093, 73256, 10918, 4484, 6, 4, 18330, 124470, 28714, 6, 4, 10339, 33809, 1211, 6, 78683, 40096, 4838, 4838, 4838, 96256, 163139, 2808, 119055, 64567, 2882, 7369, 24857, 1470, 54260, 4667, 3069, 31467, 2808, 7508, 54260, 4944, 12483, 6, 148222, 364, 183512 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4231, 4838, 5332, 29771, 35596, 119718, 17645, 35189, 895, 7201, 43178, 148346, 54260, 1211, 6, 5, 2451, 5332, 4113, 6, 5, 6, 5, 874, 24621, 6, 5, 6, 5, 6, 5, 6, 56052, 58826, 47526, 12483, 7265, 220224, 2808, 6, 1211, 292, 6, 35596, 17645, 15907, 4838, 54260, 95766, 6, 59919, 28726, 8903, 5927, 54260, 2882, 6, 5, 47709, 147713, 62067, 4113, 32054, 54260, 79981, 16, 17806, 20911, 2451, 953, 6, 7961, 6319, 33809, 20911, 51328, 14856, 46244, 42493, 6, 4, 163139, 2808, 7369, 105884, 2882, 7265, 22444, 1644, 6, 12483, 6, 4, 141107, 5332, 75230, 2808, 2808, 54260, 1211, 1470, 54260, 2932, 114436, 14856, 110970, 6, 5, 21422, 2882, 1470, 30682, 874, 84286, 10676, 6319, 33809, 1644, 19302, 54260, 12483, 6, 5, 1644, 171428, 3056, 6, 23173, 75230, 2702, 46711, 53414, 10339, 33809, 1211, 6, 148222, 1470, 75230, 8903, 1211, 10339, 33809, 1211, 6, 148346, 15907, 16932, 1211, 7369, 61397, 6, 4, 165592, 36324, 2808, 6, 56052, 10184, 2932, 33809, 25207, 3056, 51328, 9213, 46244, 77756, 1211, 6, 5, 2451, 55242, 506, 2882, 364, 54260, 16803, 1470, 30682, 6235, 506, 12483, 6, 4, 292, 152036, 7369, 6, 238144, 16932, 6, 4, 292, 36324, 7511, 2882, 6, 4, 6235, 506, 6255, 4838, 159696, 4484, 10339, 33809, 1211, 19024, 49008, 6, 5, 20033, 3056, 19024, 6, 141847, 10339, 33809, 1211, 1470, 30682, 2819, 6255, 506, 29771, 148346, 874, 151461, 6, 4, 7369, 47567, 205026, 42493, 4838, 54260, 110970, 2865, 33809, 2882, 26394, 1211, 2205, 14856, 54574, 4151, 22426, 59929, 4484, 33809, 2648, 29171, 6, 5, 148346, 21106, 2648, 3056, 91799, 1470, 33809, 5666, 7508, 30946, 3069, 31467, 6235, 22492, 183216, 3069, 31467, 220224, 2808, 6, 5, 895, 7201, 43178, 148346, 54260, 1211, 506, 15907, 6235, 3111, 31467, 51723, 4838, 148346, 16629, 2648, 1470, 33809, 5666, 3056, 6, 23173, 75230, 2702, 6235, 22492, 183216, 6, 5, 2451, 12713, 481, 2451, 5, 758, 13159, 3056, 6681, 9213, 148346, 6093, 1470, 54260, 7511, 8903, 193012, 6, 5, 895, 7201, 43178, 148346, 54260, 1211, 6655, 163139, 16870, 6093, 8903, 22426, 40096, 6235, 28726, 8903, 5927, 54260, 2882, 1470, 33809, 5666, 8903, 29659, 101503, 3069, 31467, 7508, 54260, 20315, 1211, 6, 5, 26612, 9934, 62067, 20033, 6, 4, 3944, 22492, 1470, 53171, 22426, 2808, 119718, 22492, 4, 292, 6655, 7369, 132025, 8903, 506, 54260, 148346, 12483, 292, 29060, 34654, 1211, 88771, 6, 4, 199145, 18225, 9934, 62067, 6, 4, 36324, 4151, 58826, 2702, 39340, 17824, 24295, 61541, 2648, 3056, 26612, 54260, 29789, 364, 8580, 705, 6, 148346, 15907, 18415, 6, 4, 6, 59919, 1644, 54260, 4484, 41595, 10339, 33809, 1211, 20033, 141107, 3523, 34533, 2819, 54745, 1211, 6255, 6, 148346, 8580, 26612, 54260, 710, 4838, 54260, 1211, 5332, 43590, 2442, 6093, 4269, 33809, 16932, 32054, 54260, 16747, 6, 5, 26612, 6, 238144, 2702, 9213, 148346, 705, 292, 6, 35596, 59919, 2882, 22753, 2808, 6, 59919, 1644, 171428, 6, 4, 2451, 18225, 105884, 2882, 6, 5, 6, 5, 6, 5, 51723, 620, 26612, 98833, 6681, 6, 5, 6, 5, 6, 5, 26612, 47567, 1470, 54260, 4667, 4269, 26632, 2882, 1470, 75230, 2702, 11211, 96986, 6, 4, 32054, 54260, 79981 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 4, 9213, 46244, 119055, 29060, 21422, 1211, 26612, 33809, 23405, 105330, 32792, 9424, 54260, 2882, 17190, 148346, 12483, 6, 5, 119055, 46646, 3056, 7369, 6681, 1470, 54260, 4667, 6681, 4838, 204403, 20961, 705, 26612, 148346, 75230, 76866, 62067, 7265, 4838, 3131, 46545, 6, 148346, 17410, 18415, 6, 5, 2451, 6, 238144, 2702, 6255, 705, 18225, 55242, 98833, 6, 4, 7369, 3056, 7508, 54260, 4667, 1470, 33809, 5666, 3056, 4838, 2932, 33809, 16932, 24621, 110970, 5332, 2451, 6255, 42542, 24857, 141107, 42493, 49920, 12483, 6, 4, 9174, 28726, 148346, 12483, 6, 4, 292, 22518, 54260, 15231, 172398, 2882, 1470, 75230, 111137, 25207, 98833, 6, 5, 9213, 46244, 43649, 13845, 21295, 7746, 6681, 6, 4, 119055, 46646, 9213, 46244, 6, 23093, 2882, 132, 203387, 22492, 194734, 32054, 54260, 79981, 16, 19024, 2451, 305, 32, 292, 127731, 123736, 148346, 711, 6, 5, 6, 5, 9213, 46244, 23050, 506, 63532, 7746, 4838, 45629, 148346, 6, 148222, 60980, 22426, 6293, 7265, 1470, 54260, 6093, 4838, 54260, 8903, 8903, 506, 104274, 711, 42542, 7369, 141107, 7265, 1470, 54260, 4667, 7508, 54260, 20315, 1211, 3069, 54260, 2808, 119055, 20961, 16932, 705, 4269, 20911, 1211, 6, 12483, 2932, 20961, 6681, 105235, 506, 12483, 6, 4, 163139, 2808, 1470, 54260, 4667, 3069, 31467, 1751, 26632, 26394, 1211, 705, 6, 238144, 2702, 7369, 64890, 26612, 5332, 5332, 75230, 26612, 2808, 54260, 4667, 3069, 31467, 6, 148346, 20616, 2808, 47526, 12483, 705, 7544, 17410, 2205, 64890, 2702, 119055, 29060, 9213, 46244, 7265, 1470, 30682, 6, 40096, 7511, 15231, 7511, 2882, 115222, 8903, 1211, 6, 207682, 2819, 8947, 119055, 29060, 141107, 220224, 1211, 4838, 83957, 152848, 6681, 4838, 54260, 4667, 3069, 31467, 6, 238144, 56880, 4852, 18167, 7265, 1470, 30682, 6681, 657, 54260, 96986, 6, 5, 2205, 4838, 8903, 39293, 76866, 3131, 145702, 4231, 29060, 9213, 46244, 874, 54260, 14004, 506, 2702, 6235, 119718, 21292, 42493, 51678, 6, 23173, 54260, 1211, 6, 186145, 96986, 2819, 54745, 1211, 7369, 657, 12483, 42493, 6235, 506, 12483, 4838, 33809, 22426, 7511, 2882, 43649, 20616, 12483, 6, 4, 163139, 2808, 4838, 24621, 110970, 6, 4, 292, 1470, 33809, 5666, 7369, 16803, 4151, 364, 54260, 2050, 119055, 29060, 4838, 5594, 26612, 6093, 16803, 10339, 33809, 1211, 1470, 30682, 6319, 54260, 1211, 17190, 148346, 12483, 42493, 39484, 31467, 12483, 152, 6, 148346, 54260, 2808, 36324, 2808, 3523, 45629, 148346, 12483, 14856, 110970, 12483, 165354, 49481, 198754, 21422, 1211, 6, 4, 9213, 46244, 47567, 2882, 6319, 54260, 1211, 14856, 110970, 12483, 42493, 202446, 12483, 4838, 8580, 29659, 33809, 148346, 6, 4, 9213, 46244, 47567, 2882, 4838, 76866, 54260, 1211, 119055, 76526, 12483, 6, 148222, 6, 135542, 12483, 1470, 33809, 5666, 119055, 12483, 8903, 1211, 1211, 4838, 26612, 26612, 95766, 21374, 4667, 2819, 7369, 119055, 29060, 1470, 54260, 4667, 49481, 9934, 192900, 2808, 159696, 1211, 6, 4, 9213, 46244, 47567, 2882, 6235, 506, 6093, 1470, 54260, 58679, 2050, 6, 5, 46711, 64567, 12483, 4838, 23847, 2808, 148346, 12483, 4231, 34882, 6, 75322, 33809, 21295, 65482, 2050, 1470, 54260, 23405, 37016, 54260, 39340, 21295, 2205, 14856, 506, 17410, 33809, 5666, 4151, 3069, 31467, 49481, 6235, 506, 12483, 2205, 67826, 159696, 1644, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 1470, 75230, 711, 36324, 6255, 6, 105235, 76866, 6, 56052, 2648, 46646, 6681, 6, 4, 23050, 506, 63532, 205026, 6, 68558, 4838, 3131, 75230, 35189, 6, 5, 2451, 119055, 46646, 6, 23093, 33809, 2882, 18225, 705, 123736, 148346, 6093, 4151, 32899, 16932, 6, 5, 6, 5, 6, 5, 2451, 6319, 33809, 20911, 42493, 6, 141353, 75230, 6293, 6, 5, 6, 148346, 13159, 6093, 6, 148222, 7369, 80885, 46050, 2932, 4838, 54260, 4113, 29789, 6, 54260, 21106, 21660, 18415, 6, 4, 42493, 6681, 8903, 16803, 6, 4, 36324, 9213, 46244, 46440, 2882, 19024, 7265, 4838, 54260, 6093, 4838, 112711, 148346, 12483, 28726, 148346, 12483, 6, 4, 7265, 1470, 54260, 6093, 7213, 215052, 14081, 6, 5, 6, 5, 6, 5, 4838, 21733, 54260, 110317, 4484, 54260, 2882, 711, 6, 5, 6, 5, 6, 5, 9213, 87637, 15096, 75230, 64260, 120202, 7201, 33809, 1211, 32899, 16932, 4838, 119718, 46646, 123073, 6, 105780, 6293, 6, 4, 9424, 20616, 12483, 6, 117397, 33809, 2882, 10339, 33809, 1211, 220224, 23269, 1470, 33809, 57619, 33809, 22426, 75230, 29771, 43178, 1211, 3149, 54260, 2882, 6, 4, 292, 123736, 148346, 6093, 19024, 144754, 6, 59919, 30473, 104238, 2882, 9213, 46244, 199250, 1470, 54260, 6093, 6, 119859, 142170, 22426, 28726, 148346, 12483, 6, 5, 9213, 46244, 220224, 2882, 199250, 6, 48904, 45629, 22426, 8580, 711, 6, 5, 6, 5, 6, 5, 6255, 6, 238144, 2702, 6, 4, 8947, 3056, 41764, 22492, 8903, 26612, 506, 33809, 83182, 18415, 4231, 33809, 5666, 8903, 657, 54260, 2882, 6235, 148346, 15350, 20315, 18415, 6, 4, 6, 109316, 119859, 194734, 9174, 6093, 8903, 1211, 5332, 1054, 26612, 13845, 22426, 710, 145168, 1644, 12483, 6681, 1470, 54260, 4667, 6, 5, 6255, 119055, 13845, 1470, 54260, 4667, 1751, 75230, 1211, 7508, 54260, 20315, 1211, 141107, 120202, 12483, 1211, 4231, 71577, 238144, 2702, 1470, 54260, 119132, 6, 4, 119055, 13845, 4944, 244640, 6093, 3056, 6, 149364, 7972, 148346, 2882, 2205, 1470, 54260, 4667, 1470, 33809, 5666, 3056, 6, 17645, 54260, 15907, 2808, 75230, 6293, 3069, 31467, 120202, 149364, 1211, 220224, 1211, 44917, 57619, 13159, 17190, 148346, 12483, 6681, 1470, 54260, 4667, 6, 5, 144754, 6, 148222, 7508, 54260, 2648, 6655, 7369, 9213, 46244, 1751, 174410, 2442, 132025, 8903, 4484, 33809, 20911, 1054, 6, 238144, 6, 12483, 119718, 158291, 9934, 226976, 152, 9213, 46244, 6, 141353, 23741, 81444, 4667, 6, 59919, 105235, 506, 12483, 6, 4, 6, 159696, 51723, 9213, 148346, 41764, 54260, 1211, 4838, 132, 203387, 22492, 194734, 32054, 54260, 79981, 16, 1470, 137218, 26612, 2451, 952, 6, 7961, 9213, 46244, 42493, 55242, 46244, 6, 61397, 91595, 6, 4, 49920, 2442, 895, 7201, 43178, 148346, 54260, 1211, 6, 4, 6, 35596, 109636, 617, 4852, 54260, 7265, 4838, 148346, 15907, 16932, 1211, 22753, 148346, 1211, 6, 4, 1470, 33809, 152848, 2050, 22753, 2808, 6655, 185040, 45521, 112956, 12483, 6, 4, 159696, 51723, 7369, 874, 54260, 13497, 6, 4, 292, 123736, 148346, 6093, 199145, 202745, 18225, 705, 4151, 32899, 16932, 10339, 53414, 26612, 122978, 2882, 8947, 6, 5, 2451, 6, 99611, 92983, 4, 4838, 23829, 16932, 3056, 42493, 6319, 54260, 1211, 6, 65442, 67873, 6, 5, 9213, 46244, 119055, 29060, 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 ]
[ 65405, 2050, 8903, 148346, 12483, 3069, 31467, 6, 59919, 105235, 506, 12483, 6, 4, 36324, 24857, 3056, 6681, 4838, 54260, 148346, 4838, 54260, 1211, 1470, 33809, 23405, 105330, 6, 4, 6, 159696, 16932, 1470, 54260, 4667, 7265, 2932, 119718, 14081, 2648, 42493, 9424, 119718, 710, 183216, 6, 5, 42493, 45521, 95064, 16803, 6, 5, 36324, 4151, 874, 43178, 126968, 148346, 2882, 6319, 54260, 1211, 9424, 119718, 96256, 17190, 148346, 172398, 42493, 6, 4, 1470, 33809, 5666, 10676, 1470, 54260, 1211, 17190, 148346, 12483, 6, 94741, 63020, 4151, 24621, 110970, 42493, 45521, 164863, 184069, 182879, 8903, 1211, 1470, 33809, 5666, 6, 141353, 7201, 1470, 30682, 55242, 506, 12483, 42493, 3069, 31467, 6, 59919, 148346, 15907, 16932, 1211, 6, 5, 6428, 13159, 57277, 14856, 46244, 6, 4, 36324, 8947, 119055, 141943, 2882, 7746, 6, 21106, 7611, 6, 68558, 1470, 54260, 4667, 2819, 1470, 54260, 6093, 905, 105330, 3056, 2205, 1470, 54260, 6093, 1470, 54260, 2932, 65482, 364, 104274, 6, 5, 9213, 46244, 152036, 51328, 1470, 54260, 1211, 119055, 99766, 292, 95766, 4838, 54260, 6093, 34076, 7682, 7369, 148346, 75230, 2882, 6, 5, 95766, 36324, 13845, 107581, 7508, 54260, 2648, 10339, 147713, 12483, 6, 59919, 148346, 2442, 54260, 183216, 7265, 9213, 46244, 6, 148222, 4231, 33809, 5666, 8903, 26612, 43178, 3131, 12483, 6, 4, 9213, 148346, 150839, 75230, 23741, 49920, 2442, 895, 7201, 43178, 148346, 54260, 1211, 1470, 33809, 5666, 220224, 1211, 173102, 45629, 2648, 43649, 54260, 3111, 14004, 2648, 6, 5, 4852, 75230, 123073, 7508, 54260, 4113, 230764, 9213, 46244, 1751, 57277, 24152, 6235, 119718, 9221, 20911, 152, 22753, 2808, 6655, 109636, 5927, 59929, 2882, 4269, 75230, 5666, 109636, 50853, 12483, 6, 148346, 710, 3069, 31467, 2050, 6, 105515, 1470, 33809, 5666, 364, 29060, 6, 148346, 79238, 17410, 2702, 12483, 1470, 30682, 7511, 2882, 3069, 31467, 6, 54260, 905, 148346, 26632, 506, 12483, 2819, 119055, 2808, 8300, 33809, 47567, 22753, 2808, 46050, 4944, 12483, 2205, 1470, 54260, 1211, 1470, 33809, 23405, 105330, 6, 4, 119055, 12483, 13159, 43649, 20616, 12483, 9213, 46244, 6150, 13845, 107581, 115825, 165354, 6681, 705, 9213, 46244, 3056, 3523, 23173, 55242, 506, 93509, 159696, 26612, 6235, 159696, 1211, 6, 4, 163139, 2808, 220224, 47567, 19024, 167048, 54260, 96986, 6235, 8903, 1211, 32899, 16932, 1470, 33809, 5666, 58826, 26612, 15533, 1751, 57277, 24152, 6, 148346, 48350, 48340, 2882, 6235, 159696, 1211, 6, 94741, 48775, 905, 148346, 6093, 6, 4, 163139, 2808, 22753, 2808, 47567, 81444, 6428, 33809, 81455, 172060, 171428, 51678, 6, 5, 35189, 6, 238144, 28726, 1285, 26612, 9424, 54260, 2882, 6235, 506, 2882, 6681, 159696, 33716, 2702, 6, 4, 8947, 6235, 506, 2882, 6681, 26612, 710, 148346, 4113, 26612, 4838, 4113, 2808, 4667, 6, 76776, 4667, 4838, 4113, 2808, 4667, 6, 4, 6, 75322, 64567, 64260, 49481, 6, 75322, 208048, 2882, 6, 5, 6, 148222, 163139, 30473, 96986, 22426, 33809, 1211, 26612, 23829, 4838, 33809, 5666, 8903, 148346, 4113, 18415, 8903, 205814, 6, 104378, 107020, 46685, 364, 75230, 7916, 2932, 6681, 6, 4, 220224, 123073, 26612, 54260, 2648, 6, 159696, 8903, 1211, 86510, 6093, 4838, 75230, 5666, 8903, 22426, 21066, 48904, 56169, 2205, 9213, 46244, 68889, 26394, 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 ]
[ 33809, 5666, 220224, 4838, 15533, 17645, 119718, 26612, 148346, 12483, 45521, 82576, 1470, 33809, 5666, 45521, 82576, 2205, 9213, 46244, 6, 148346, 79238, 1644, 33809, 2702, 42493, 3069, 31467, 43590, 54260, 45629, 23093, 12483, 97995, 24295, 61541, 20315, 1211, 6, 5, 132, 203387, 22492, 194734, 32054, 54260, 79981, 16, 4231, 109316, 22492, 2451, 1039, 292, 710, 109316, 22492, 78104, 28714, 7201, 54260, 4113, 119718, 22492, 6, 4, 1470, 33809, 54561, 6093, 40026, 6093, 93975, 6, 148346, 37016, 62067, 4113, 6, 4, 123736, 15533, 4838, 75230, 26612, 8903, 159696, 1211, 10339, 33809, 1211, 3944, 22492, 4838, 53171, 22426, 2808, 119718, 22492, 26, 2702, 6, 148346, 13159, 18415, 32054, 54260, 107829, 49008, 6, 4, 10339, 147713, 2882, 120202, 2882, 3069, 31467, 14004, 46244, 6, 23173, 54260, 1211, 6319, 33809, 51723, 1470, 33809, 5666, 10339, 147713, 2882, 6, 84577, 506, 54260, 1644, 23050, 506, 51723, 2205, 220224, 123073, 6235, 26612, 13845, 67873, 3131, 145702, 12483, 1470, 33809, 5666, 9174, 26632, 3069, 31467, 2808, 6235, 39293, 506, 12483, 2205, 119055, 13845, 107581, 45521, 17800, 158291, 7511, 29771, 4113, 220224, 105235, 506, 2882, 7265, 1285, 39293, 4231, 33809, 5666, 8903, 14856, 110970, 12483, 6, 4, 6, 148222, 5332, 147713, 62067, 4113, 49920, 12483, 6, 5, 2451, 2205, 119055, 46646, 6681, 4838, 22492, 50853, 65482, 17288, 27105, 109316, 6428, 33809, 2808, 6, 148346, 710, 64260, 4231, 40096, 8903, 148346, 20961, 12483, 6235, 33353, 12483, 6, 4, 657, 71512, 711, 292, 152036, 3069, 31467, 2808, 9213, 46244, 4838, 122165, 153850, 43178, 40096, 52480, 68561, 54260, 4113, 119718, 22492, 6, 4, 292, 8947, 6235, 506, 12483, 3069, 31467, 124724, 36324, 13845, 107581, 49920, 2884, 42355, 6, 109636, 21106, 12483, 7201, 33809, 1211, 6, 148222, 73256, 2808, 148222, 163177, 6, 5, 6, 148222, 6, 59919, 148346, 2442, 54260, 183216, 7265, 124724, 36324, 75230, 32054, 54260, 151227, 54260, 5332, 165592, 75230, 3944, 148346, 32792, 2819, 6319, 33809, 51723, 3069, 31467, 124724, 163139, 2808, 97483, 5666, 36324, 75230, 112389, 2882, 1470, 33809, 5666, 657, 33809, 22426, 33809, 710, 12483, 39384, 75322, 15907, 124724, 6, 5, 4852, 54260, 2808, 220224, 49008, 6235, 119718, 21292, 1470, 54260, 23405, 13845, 710, 148346, 2882, 2205, 124724, 6, 4, 1470, 33809, 5666, 6, 148222, 6235, 8903, 1211, 5332, 26612, 24295, 20961, 3069, 31467, 124724, 6, 4, 42493, 3069, 31467, 6, 31177, 165354, 6, 4, 4151, 126230, 33809, 39293, 6, 5, 2451, 6235, 119718, 21292, 711, 292, 6, 35596, 59919, 2882, 657, 71512, 1751, 200651, 7611, 6, 5, 2451, 6, 74004, 6, 148346, 15533, 2882, 33809, 199250, 34076, 7682, 32792, 6, 4, 163139, 2808, 6, 148222, 6, 159696, 21295, 6, 4, 874, 54260, 1211, 6, 23093, 54260, 58032, 33809, 20260, 4113, 4838, 159696, 1644, 107581, 874, 54260, 20315, 1644, 6655, 24857, 36324, 2808, 34076, 7682, 705, 3069, 31467, 119055, 13845, 4944, 244640, 6093, 32054, 54260, 79981, 6235, 506, 12483, 2648, 46646, 36324, 13845, 107581, 6, 109316, 22492, 194734, 17824, 75230, 2702, 23173, 15231, 8903, 60980, 4113, 14081, 6093, 12483, 705, 4838, 710, 148346, 4113, 26612, 4838, 905, 33809, 22426, 2882, 64260, 4151, 895, 7201, 43178, 148346, 54260, 1211, 1470, 33809, 5666, 220224, 1211, 173102, 45629, 2648, 43649, 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 ]
[ 119718, 14081, 2648, 6, 4, 292, 4838, 8903, 4852, 33809, 76776, 2205, 4852, 54260, 2808, 6, 4, 163139, 2808, 1751, 54260, 1211, 220224, 2808, 6, 54260, 49008, 711, 292, 220224, 2808, 55242, 506, 12483, 141107, 42493, 1470, 75230, 2702, 6, 238144, 710, 33809, 20315, 1211, 6, 4, 14594, 4838, 35402, 5594, 230764, 220224, 2808, 3069, 31467, 2808, 6319, 33809, 165354, 711, 1470, 33809, 2442, 36324, 12483, 109636, 148346, 12415, 76866, 62067, 12483, 60980, 51172, 710, 12483, 7746, 36324, 75230, 49481, 124724, 711, 6, 5, 6, 5, 6428, 33809, 2808, 6, 148346, 15533, 2882, 6, 57277, 39340, 4838, 100863, 33809, 20911, 16580, 16747, 6, 4, 657, 71512, 6, 4, 119055, 46646, 47567, 16742, 6, 5, 79761, 220771, 12483, 705, 2451, 6, 17645, 6, 4, 6, 17645, 6, 4, 292, 6, 35596, 59919, 2882, 3944, 8903, 7265, 36324, 42733, 7611, 1054, 292, 4838, 21847, 33809, 4484, 4838, 8580, 2648, 46646, 6, 4, 6235, 119718, 21292, 152, 123736, 148346, 6093, 163139, 2808, 6319, 33809, 63532, 18225, 3069, 31467, 3069, 31467, 2050, 34076, 7682, 705, 1285, 43649, 20616, 12483, 62808, 6681, 1751, 159696, 25207, 11211, 83182, 7511, 36419, 6, 5, 6, 93497, 96986, 3944, 148346, 12483, 220224, 2808, 199250, 3373, 33809, 6293, 6, 148346, 905, 54260, 4113, 5332, 2808, 33809, 5666, 6255, 42542, 199250, 6, 148346, 54260, 20315, 1211, 42493, 364, 54260, 2442, 26632, 3149, 12483, 2819, 2205, 9424, 238144, 96986, 4231, 40096, 6, 54260, 93704, 6093, 32899, 16932, 4838, 4113, 12483, 122133, 4852, 6, 195054, 69859, 12483, 6, 64260, 10676, 17824, 24295, 61541, 20315, 1211, 1054, 4231, 29060, 5332, 26612, 710, 24621, 54574, 6, 4, 1470, 33809, 5666, 620, 4113, 22426, 7746, 7265, 1470, 30682, 711, 132, 203387, 22492, 194734, 6, 128750, 54260, 79981, 16, 6, 5, 6, 226085, 2451, 1105, 292, 22426, 29631, 6, 4, 4151, 6, 34882, 711, 6, 5, 6, 5, 24857, 3056, 3523, 23173, 3523, 34533, 711, 6, 148222, 198754, 48350, 2808, 33809, 3056, 6, 64260, 6, 148222, 9424, 238144, 2808, 45223, 20315, 1211, 4, 6, 148222, 41764, 45629, 119718, 15533, 20961, 2702, 6, 5, 220224, 2808, 220224, 49008, 148346, 54260, 20315, 1751, 54260, 1211, 163139, 2808, 4151, 874, 48340, 43178, 29659, 53414, 6, 5, 6, 5, 6, 5, 76961, 148346, 12483, 2205, 220224, 2808, 106, 6, 5, 6, 5, 6, 5, 96256, 6, 159696, 51723, 19302, 54260, 148346, 2882, 18225, 19024, 1470, 75230, 2702, 10339, 33809, 1211, 220224, 2808, 705, 1470, 33809, 5666, 36324, 6428, 33809, 2808, 119055, 119273, 3131, 75230, 1211, 1470, 54260, 119132, 1470, 75230, 2702, 19302, 54260, 148346, 12483, 6, 4, 119055, 29060, 199250, 4151, 221895, 2442, 23050, 148346, 4113, 4667, 506, 26612, 148346, 12483, 14779, 29025, 238144, 2882, 64567, 6, 5, 6, 5, 6, 5, 123736, 6, 4, 8947, 30109, 54260, 185226, 20033, 185040, 874, 54260, 1211, 55202, 22426, 23173, 1470, 30682, 6, 4, 364, 28726, 148346, 12483, 711, 2451, 6, 238144, 16803, 33809, 119055, 46646, 6, 4, 4231, 109316, 22492, 705, 119055, 119273, 33809, 1470, 30682, 23050, 46244, 12483, 6, 5, 2451, 119055, 46646, 54745, 1211, 874, 54260, 16667, 2882, 33809, 705, 292, 152036, 4231, 109316, 22492, 78104, 28714, 55823, 17645, 119718, 22492, 6, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21066, 18415, 6, 9221, 33809, 56417, 10676, 6, 139001, 26, 2702, 874, 54260, 20315, 1644, 6, 4, 292, 119055, 46646, 54745, 1211, 874, 54260, 16667, 2882, 33809, 705, 6255, 6, 148346, 29060, 57277, 39340, 6, 148346, 54260, 2808, 10676, 6, 4, 119055, 46646, 6255, 6, 148346, 8580, 42493, 119055, 77188, 21422, 1211, 44917, 51723, 3069, 31467, 2808, 4151, 22426, 48904, 12483, 1470, 33809, 2050, 6235, 119718, 26612, 3131, 12483, 6, 4, 36324, 7369, 47567, 6, 23173, 54260, 1211, 7213, 165354, 42355, 364, 54260, 186461, 12483, 163139, 1644, 12483, 26612, 2884, 364, 23173, 26394, 1211, 10339, 33809, 1211, 1470, 54260, 119132, 10339, 33809, 1211, 6, 148222, 9424, 238144, 2808, 41764, 45629, 119718, 15533, 20961, 2702, 6, 4, 36324, 7369, 47567, 2865, 54260, 119055, 109316, 1211, 364, 54260, 22492, 23093, 12483, 6, 5, 123736, 25093, 31467, 74197, 620, 71107, 711, 148346, 54260, 2808, 6, 148222, 657, 29060, 8300, 18415, 119055, 6093, 16932, 6655, 4231, 109316, 22492, 78104, 28714, 55823, 17645, 119718, 22492, 26612, 75230, 22426, 8903, 506, 54260, 148346, 12483, 6, 148222, 1470, 75230, 8903, 1211, 6, 23173, 75230, 6293, 1470, 33809, 5666, 6235, 8903, 148346, 12483, 4838, 148346, 15907, 16932, 1211, 22753, 7201, 7611, 6, 5, 2451, 119055, 46646, 55242, 874, 54260, 16667, 2882, 33809, 6, 4, 874, 54260, 1211, 30109, 75230, 1211, 6, 4, 292, 6, 148346, 6093, 33809, 506, 176727, 9213, 46244, 3944, 22492, 144754, 4838, 207682, 10339, 33809, 1211, 1751, 200651, 7611, 6, 4, 163139, 2808, 22753, 2808, 119055, 158291, 1751, 75230, 1211, 39484, 31467, 12483, 1470, 54260, 1211, 41764, 45629, 119718, 15533, 20961, 95766, 6319, 13159, 65482, 6, 4, 292, 8947, 42542, 185040, 17824, 54260, 32792, 220224, 1211, 6, 5, 3523, 26632, 2882, 3056, 6, 48904, 33809, 16932, 6, 5, 26612, 33809, 5666, 6, 238144, 16932, 6, 4, 874, 54260, 1211, 16175, 54260, 6093, 24295, 39340, 6, 4, 119055, 13845, 6255, 124724, 185040, 1470, 75230, 4667, 6, 148346, 20616, 15350, 7916, 54561, 54260, 1211, 5332, 123736, 46646, 6, 149364, 29659, 54260, 16803, 33809, 199250, 6, 4, 36324, 6255, 119055, 13845, 1470, 30682, 220771, 12483, 4838, 119718, 101503, 6, 4, 159696, 2882, 6, 148346, 54260, 2808, 1470, 30682, 220224, 1211, 185040, 132025, 8903, 3111, 31467, 51723, 6, 5, 2451, 123736, 6, 4, 6428, 33809, 2808, 185143, 20033, 51328, 18895, 98071, 506, 6235, 159696, 1211, 6, 4, 657, 45619, 20260, 4113, 711, 13159, 119055, 69859, 1470, 54260, 23269, 41764, 75230, 39293, 6, 5, 220224, 2808, 39484, 31467, 12483, 7746, 6, 148346, 54260, 20315, 45521, 68959, 33809, 20260, 12483, 2205, 26612, 54260, 65482, 22753, 36419, 6235, 2648, 167622, 12483, 6, 5, 2451, 22753, 2932, 55242, 506, 20033, 6, 4, 874, 54260, 1211, 30109, 75230, 1211, 6, 4, 6, 56052, 55202, 711, 292, 6655, 163139, 35189, 171433, 8903, 26612, 75230, 148346, 12483, 4231, 109316, 22492, 7265, 6, 59929, 5666, 36677, 215206, 12483, 6, 207682, 15, 2808, 33809, 5666, 163139, 2808, 55242, 1644, 22753, 2808, 29789, 46244, 42493, 6, 48904, 29111, 49008, 6, 4, 36324, 220224, 55242, 506, 2882, 364, 54260, 13497, 9213, 46244, 34076, 7682, 119055, 35596, 7746, 132, 2808, 147713, 62067, 4113, 6, 128750, 54260, 79981, 16, 33960, 164863, 20961, 6, 68558 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9213, 46244, 705, 16, 6, 4, 292, 220771, 55242, 506, 20033, 6, 4, 119055, 46646, 6681, 4838, 24621, 110970, 4838, 137218, 4231, 40096, 2648, 54260, 1211, 77756, 1211, 705, 2451, 119055, 13845, 4944, 12483, 874, 54260, 16667, 2882, 33809, 6, 4, 895, 7201, 43178, 148346, 54260, 1211, 3069, 31467, 43649, 54260, 5666, 119718, 14081, 2648, 705, 2451, 6255, 874, 54260, 1211, 6, 64260, 10676, 182261, 93975, 1211, 4151, 6, 238144, 28726, 6, 5, 2451, 58826, 2702, 165354, 705, 129165, 2932, 6, 148346, 13159, 6093, 141107, 42493, 6, 5, 9424, 4852, 6428, 33809, 2808, 105884, 22426, 2882, 6, 54260, 2882, 62808, 178748, 12483, 1470, 30682, 6, 4, 6, 73381, 41595, 7746, 20033, 874, 54260, 23269, 119055, 2808, 33809, 16747, 12483, 6, 5, 19024, 2882, 4838, 137218, 6, 54260, 26612, 165592, 2808, 1751, 46545, 620, 34882, 6, 4, 36324, 2808, 1751, 46545, 6, 189069, 6, 4, 36324, 6255, 220771, 124724, 6, 4, 7369, 4838, 137218, 42493, 159696, 33716, 6, 4, 119055, 46646, 7369, 6235, 506, 2882, 6, 23173, 33809, 2050, 230764, 4151, 1054, 54260, 101608, 5332, 13845, 2882, 6, 4, 364, 28726, 148346, 12483, 4838, 2451, 36324, 75230, 6, 4, 36324, 75230, 711, 2451, 24857, 3056, 124724, 36324, 75230, 1470, 54260, 1211, 1470, 33809, 23405, 13845, 73136, 22426, 119425, 16932, 4231, 33809, 23405, 5332, 4838, 12483, 2932, 25207, 148346, 6093, 14856, 110970, 6, 4, 4838, 25391, 37016, 711, 119055, 46646, 6, 141353, 17748, 2882, 33809, 14856, 46244, 705, 6255, 6, 148346, 8580, 6, 71577, 21106, 59461, 12483, 7265, 1470, 30682, 3069, 31467, 64890, 16803, 6, 148346, 54260, 2808, 1470, 33809, 54561, 53414, 6, 92605, 62763, 6, 4, 6, 148346, 8580, 1470, 54260, 15622, 71577, 6093, 81951, 40920, 6235, 119718, 20961, 12483, 6, 4, 45521, 93509, 119718, 2808, 6, 56169, 23050, 119718, 20961, 12483, 10339, 33809, 1211, 6, 148346, 4852, 17645, 76776, 26612, 5332, 6, 64260, 119718, 23829, 6255, 220771, 124724, 6, 5, 6428, 33809, 2808, 49920, 51328, 14856, 46244, 42493, 6, 4, 68889, 4667, 4838, 2884, 4838, 54260, 1211, 4838, 168892, 22753, 2882, 7611, 36324, 75230, 6, 148346, 54260, 1211, 6, 147502, 1470, 33809, 5666, 8947, 10339, 186955, 10339, 33809, 1211, 20033, 4838, 45629, 148346, 124724, 6, 57277, 36326, 22426, 40096, 710, 10813, 6, 4, 292, 1470, 33809, 5666, 7369, 22753, 2882, 56169, 163139, 2808, 6, 34709, 54260, 2702, 114436, 3523, 73697, 1470, 33809, 5666, 9174, 71577, 2882, 220224, 42493, 5332, 62808, 6, 148222, 32899, 8300, 54260, 1644, 39340, 1470, 75230, 7201, 8300, 33809, 506, 54260, 148346, 12483, 5, 6, 5, 6255, 22753, 2882, 2882, 1470, 33809, 2442, 112216, 4484, 8903, 41764, 33809, 1211, 21292, 33809, 16847, 6, 5, 6, 5, 6, 5, 6, 21106, 28726, 32054, 54260, 7972, 16667, 6, 23173, 33809, 2050, 22753, 2882, 26394, 1211, 44458, 9174, 2808, 3149, 2808, 26394, 1211, 5332, 1470, 33809, 2442, 4838, 54260, 506, 6093, 6, 4, 8947, 117641, 2882, 10339, 33809, 1211, 20033, 67826, 75290, 6, 238144, 2702, 10339, 33809, 1211, 6, 21292, 33809, 16847, 6, 5, 2451, 4838, 710, 9213, 4838, 710, 711, 292, 22753, 193338, 2882, 4231, 109316, 22492, 6, 4, 292, 24857, 2205, 6, 57277, 39340, 4838, 2932, 119718, 15350, 64769, 20961 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42493, 221387, 6235, 159696, 25207, 1211, 6, 4, 9213, 17310, 6093, 15864, 49209, 47567, 220224, 1211, 215031, 6, 76776, 71577, 4113, 75322, 43178, 3131, 6, 4, 4838, 25391, 37016, 711, 163139, 2808, 6255, 6, 148346, 8580, 1470, 167351, 15435, 40697, 97483, 4944, 16932, 711, 2451, 49920, 55242, 506, 6, 238144, 16932, 6, 4, 49920, 26394, 28726, 6, 4, 30109, 75230, 23269, 28726, 711, 8947, 119055, 29060, 6, 54260, 204403, 5666, 23269, 506, 51723, 4838, 50856, 75230, 1644, 49920, 186797, 6, 5, 8947, 3056, 6, 148346, 54260, 2808, 20033, 4838, 45629, 148346, 6235, 22426, 26612, 15350, 12483, 35189, 6, 148346, 1644, 33809, 2050, 10339, 33809, 1211, 364, 33809, 2882, 6, 5, 6, 5, 6, 5, 8947, 3056, 6235, 159696, 1211, 29434, 75230, 2702, 12483, 17824, 93704, 4838, 3131, 22426, 48904, 39340, 26612, 119718, 710, 16747, 1468, 6, 5, 6, 148346, 29060, 6255, 7746, 6, 148346, 54260, 2808, 1470, 30682, 163139, 2808, 6, 148346, 54260, 2808, 4838, 2932, 109995, 4231, 364, 71577, 2882, 33809, 42493, 26612, 3131, 22426, 15350, 39340, 3069, 31467, 3069, 31467, 46440, 12483, 10676, 6, 148346, 1644, 33809, 2050, 705, 6319, 33809, 20911, 7369, 6, 56052, 6, 47351, 4838, 2884, 6, 137218, 26612, 2808, 75230, 8903, 1211, 163139, 2808, 6, 21106, 54260, 2865, 114436, 4269, 73697, 1470, 33809, 5666, 152036, 2819, 163139, 2808, 6319, 33809, 2050, 6255, 3069, 31467, 46440, 4484, 13159, 5332, 132, 69803, 2932, 62067, 4113, 32054, 54260, 79981, 16, 16175, 2451, 714, 292, 76776, 137218, 23847, 220771, 6, 4, 39384, 2808, 17190, 148346, 2882, 18225, 6, 150271, 10339, 33809, 1211, 36324, 2808, 620, 92605, 95455, 3523, 54260, 101608, 42493, 4151, 17190, 195164, 36324, 4838, 506, 6093, 2442, 6, 94741, 63020, 6, 226112, 8903, 1211, 46440, 4484, 13159, 1470, 33809, 194734, 68959, 14081, 119273, 39340, 6, 4, 6, 64260, 6, 238144, 1470, 54260, 1211, 5332, 46244, 149010, 2442, 4838, 15435, 46711, 35596, 21422, 10918, 609, 6, 5, 2451, 6, 64260, 36324, 2808, 41764, 75230, 6093, 3056, 24857, 711, 6, 238144, 2702, 42493, 10339, 33809, 1211, 19024, 24621, 50856, 91595, 711, 6, 5, 2451, 129165, 2932, 1470, 30682, 6, 148346, 3149, 69452, 6, 4, 119055, 46646, 19024, 24621, 50856, 91595, 6, 4, 119055, 12483, 19024, 2865, 43178, 25207, 47332, 6, 5, 36324, 20033, 4269, 54260, 12483, 6, 5, 6, 5, 6, 5, 6, 148346, 54260, 20315, 711, 7369, 657, 75230, 23741, 40026, 6093, 6, 4, 205026, 6, 170098, 16932, 10339, 33809, 1211, 364, 41595, 12483, 6, 5, 36324, 20033, 6, 141353, 55823, 1211, 6, 23173, 75230, 6293, 230764, 4838, 99176, 2882, 33809, 23173, 6, 4, 20817, 54260, 119718, 186955, 7369, 151614, 148346, 12483, 83031, 6, 4, 4151, 98664, 165354, 6, 4, 20033, 6, 23173, 75230, 6293, 3069, 31467, 364, 54260, 148346, 12483, 159308, 87637, 16747, 6, 4, 292, 3523, 23173, 3523, 34533, 6, 5, 23173, 75230, 1644, 711, 4838, 25391, 37016, 3069, 31467, 2808, 49920, 12483, 6, 4, 163139, 2808, 6255, 6, 148346, 8580, 4838, 14004, 2648, 33809, 38596, 29338, 6, 148346, 16870, 75230, 77188, 9213, 46244, 4231, 109316, 76776, 6, 4, 292, 6255, 6, 238144, 2702, 51328, 42493, 6, 4, 119055, 10705, 39293, 506, 2882, 18225, 6, 150271, 182261 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 93975, 110167, 850, 36324, 13845, 30750, 6, 148346, 33809, 28726, 64567, 13159, 6, 5, 2451, 6255, 55242, 2932, 68891, 6, 4, 153850, 76632, 20260, 4113, 6, 4, 8947, 3056, 20033, 6, 105780, 82576, 6235, 119718, 20961, 12483, 95766, 6, 148222, 4838, 75230, 49008, 6235, 506, 186797, 7265, 1470, 30682, 6, 5, 2181, 364, 15907, 20033, 6235, 115453, 2865, 63532, 2865, 54260, 23269, 4838, 75230, 49008, 6, 5, 123736, 18553, 6, 4, 6255, 151614, 148346, 1470, 30682, 132025, 8903, 30473, 25207, 21295, 6, 4, 151614, 148346, 6235, 8903, 148346, 12483, 26612, 3131, 22426, 75230, 26612, 4838, 33809, 5666, 6, 148346, 8580, 4838, 159696, 4484, 6235, 185337, 12483, 6, 5, 1470, 33809, 5666, 10339, 33809, 1211, 6, 17645, 87311, 21295, 6, 68558, 6235, 506, 6255, 3131, 75230, 1211, 14856, 46244, 7265, 1470, 30682, 42493, 6, 5, 2451, 1470, 33809, 2932, 1470, 30682, 4838, 33716, 24857, 705, 2451, 2442, 64260, 119055, 47709, 6, 148222, 163139, 16747, 6, 5, 7369, 204982, 7746, 3523, 23173, 42493, 6, 92605, 52480, 46685, 6, 5, 2451, 3523, 23173, 119055, 59929, 9934, 21106, 12483, 20033, 105884, 12483, 6, 23173, 33809, 2050, 1470, 30682, 705, 7369, 3056, 42493, 64044, 124724, 6, 4, 1470, 33809, 5666, 6428, 33809, 2808, 6, 148346, 54260, 2882, 42493, 6681, 1470, 30682, 6, 5, 6428, 33809, 2808, 220771, 10676, 6, 148346, 2808, 16932, 6, 4, 165592, 6428, 33809, 2808, 163139, 1644, 16803, 1470, 30682, 42493, 6, 4, 1470, 33809, 5666, 51328, 6, 5, 2451, 123736, 148346, 6093, 199145, 6, 23093, 33809, 2882, 18225, 705, 18225, 3523, 54260, 2882, 199250, 20033, 1751, 75230, 1211, 65902, 35189, 95766, 44917, 148346, 6, 23173, 54260, 1211, 1470, 33809, 5666, 18225, 17824, 54260, 2882, 7746, 1751, 75230, 1211, 6, 68558, 3069, 31467, 4151, 17741, 33809, 5927, 6, 5, 2451, 41764, 2882, 33809, 2442, 6, 1211, 24857, 3056, 141107, 3523, 34533, 711, 7544, 17410, 6, 148222, 19302, 54260, 35189, 202745, 4113, 14004, 3523, 34533, 1470, 75230, 2702, 2819, 220224, 2808, 51678, 199250, 16175, 75230, 8903, 1211, 3069, 31467, 1470, 54260, 1211, 4838, 83182, 41764, 101503, 17645, 6, 4, 55823, 4113, 29659, 54260, 16803, 33809, 705, 1470, 33809, 5666, 6, 238144, 16932, 6, 159696, 8903, 1211, 221895, 6681, 148346, 4113, 148346, 54260, 2882, 33809, 183216, 6, 4, 26612, 54260, 2808, 159696, 1751, 75230, 1211, 6, 4, 36324, 6428, 33809, 2808, 163139, 1644, 16803, 42493, 6, 5, 119055, 109316, 1211, 220224, 1211, 1470, 75230, 22426, 506, 6093, 12483, 7746, 26612, 203387, 62067, 4113, 6, 128750, 54260, 79981, 16, 5332, 20961, 2451, 116, 292, 64044, 3069, 31467, 6, 148346, 6093, 54260, 96986, 6, 5, 1470, 33809, 5666, 6, 238144, 16932, 1470, 75230, 148346, 6, 54260, 2808, 119055, 109316, 1211, 124724, 42493, 364, 171428, 6, 48350, 14081, 16803, 33809, 220224, 2808, 1470, 75230, 4667, 42493, 49920, 12483, 1470, 33809, 5666, 3069, 31467, 2808, 4151, 9174, 33809, 22426, 506, 9934, 92605, 15907, 33809, 42493, 8903, 506, 12483, 2819, 7265, 4269, 119718, 14081, 2648, 620, 4113, 22426, 2882, 18225, 42493, 6, 4, 6, 21292, 92983, 543, 22426, 6, 5, 2451, 5, 910, 148222, 9424, 54260, 2882, 6235, 506, 2882, 42572, 20961, 119055, 77188, 2702, 6, 5, 8947, 3056, 6235, 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 ]
[ 33809, 51723, 6, 17645, 26612, 6, 63188, 29659, 52480, 82576, 97483, 5666, 119055, 6, 12483, 18225, 147062, 10339, 54260, 53414, 6, 148222, 28977, 26612, 54260, 2882, 10339, 33809, 1211, 6, 54260, 710, 36909, 50856, 24295, 61541, 2648, 7265, 3944, 76776, 6, 53171, 22426, 2808, 119718, 22492, 6, 5, 22753, 2808, 6655, 42493, 6235, 905, 26612, 62067, 4231, 29060, 27720, 16932, 4838, 119718, 101503, 3069, 31467, 7508, 54260, 20315, 1211, 6, 4, 6, 74004, 6655, 22753, 2808, 150764, 710, 1285, 6093, 4838, 33809, 2882, 18415, 26612, 5332, 165592, 8947, 3056, 1470, 33809, 2702, 4852, 33809, 16667, 2882, 6, 21106, 28726, 3069, 31467, 6, 148346, 6093, 54260, 2882, 33809, 2932, 8903, 1211, 2819, 22753, 2808, 163139, 1644, 4231, 29060, 4231, 68558, 7511, 2882, 6, 5, 6, 148222, 874, 33809, 2882, 16932, 6655, 7746, 10339, 33809, 1211, 132025, 27720, 23405, 6, 80453, 33809, 148346, 54196, 7265, 4269, 33809, 96986, 14004, 46244, 9213, 148346, 6093, 3069, 31467, 2808, 7508, 54260, 20315, 1211, 6, 4, 292, 8947, 6655, 123736, 148346, 6093, 3523, 34533, 6235, 506, 21106, 109636, 1211, 36324, 23829, 6655, 24857, 9213, 148346, 6093, 6235, 8903, 148346, 12483, 9213, 46244, 15864, 49209, 1751, 59094, 23093, 24012, 48904, 12483, 4231, 6, 76776, 26612, 6093, 6655, 7746, 1470, 75230, 2702, 6, 195054, 115536, 6, 5, 292, 6428, 33809, 2808, 7508, 54260, 2648, 7265, 9213, 46244, 44917, 26612, 42493, 5332, 6, 54260, 26612, 159696, 2882, 6, 148346, 54260, 2808, 20033, 23050, 506, 12483, 3069, 31467, 4151, 9174, 33809, 22426, 506, 42493, 163139, 1644, 186797, 5, 3523, 54260, 2882, 6, 109995, 6, 68558, 21106, 1644, 13159, 6, 4, 163139, 2808, 8947, 221387, 3069, 31467, 220224, 1211, 6, 5, 4151, 6, 147848, 92605, 4113, 3056, 4838, 119718, 26612, 26612, 21106, 4113, 26612, 710, 33809, 23405, 6093, 6, 133111, 6, 4, 4838, 2932, 33809, 16932, 6235, 95494, 23741, 2702, 6, 133111, 6, 4, 1470, 54260, 1211, 6, 239162, 177282, 71512, 26612, 3523, 47351, 2808, 33809, 5666, 1470, 54260, 1211, 7508, 54260, 104238, 6, 133111, 2819, 6255, 163139, 1644, 1470, 30682, 9174, 2808, 148346, 12483, 6681, 7508, 54260, 1211, 4838, 54260, 76776, 26612, 64769, 15907, 6, 183512, 93497, 6, 5, 51723, 6655, 7746, 3069, 31467, 6, 148346, 6093, 54260, 18415, 2882, 5332, 4151, 77756, 33809, 5927, 6, 1211, 6, 238144, 8947, 6, 49008, 506, 77188, 3069, 31467, 42355, 6, 5, 13159, 3056, 1751, 75230, 1211, 6681, 112389, 31467, 2882, 6, 5, 2205, 10676, 6, 57277, 57619, 4852, 14081, 6, 4, 119055, 40096, 6, 77820, 26632, 123736, 148346, 59461, 33809, 183216, 3069, 31467, 2808, 4151, 9174, 36909, 33809, 22426, 26612, 6, 4, 28977, 12483, 5332, 4667, 1751, 75230, 1211, 23050, 3111, 31467, 49008, 3069, 31467, 74004, 2865, 51723, 19302, 54260, 148346, 12483, 6, 148222, 6, 80453, 30473, 12483, 1470, 33809, 5666, 6, 148222, 32887, 4944, 16932, 10339, 33809, 1211, 620, 101296, 24012, 48904, 22426, 55823, 506, 4113, 104274, 18415, 1470, 33809, 2932, 4269, 33809, 18415, 32054, 54260, 16747, 5332, 1470, 75230, 4667, 10339, 33809, 1211, 9174, 124470, 16667, 21422, 4838, 4231, 21106, 5332, 6, 54260, 26612, 3131, 159696, 82576, 10339, 33809, 1211, 4151, 110573, 10125, 6, 4, 3056, 1751, 75230, 1211, 1470, 75230, 4667 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 132025, 2932, 21660, 75230, 8903, 1211, 2205, 4838, 710, 113889, 58032, 2808, 147713, 64567, 18415, 32054, 54260, 79981, 16, 10213, 80885, 2451, 1438, 292, 148346, 13159, 18415, 19302, 54260, 35189, 6, 4, 163139, 2808, 8947, 221387, 3069, 31467, 220224, 1211, 6, 5, 51328, 1157, 506, 4, 6, 148222, 110573, 10125, 21106, 1644, 54260, 1211, 22753, 2882, 56169, 7746, 2205, 9213, 46244, 21422, 2865, 46685, 6, 4, 51328, 163139, 2808, 42493, 9213, 46244, 874, 54260, 13497, 51723, 95455, 2819, 8947, 6235, 506, 2882, 6, 23173, 54260, 1211, 6, 148222, 874, 33809, 2882, 16932, 6, 4, 1751, 75230, 1211, 4838, 54260, 1211, 1470, 75230, 2702, 8903, 22426, 33809, 8300, 18415, 6, 4, 26612, 33809, 5666, 364, 54260, 16803, 9213, 46244, 7746, 132025, 42180, 506, 12483, 9213, 506, 25207, 19302, 54260, 35189, 1470, 33809, 5666, 6, 138194, 33809, 23405, 6, 4, 292, 22492, 2442, 22753, 2808, 6, 35596, 59919, 2882, 9213, 46244, 141107, 42493, 6, 5, 8947, 6235, 506, 2882, 6, 23173, 54260, 1211, 135227, 51369, 15289, 6, 5, 2451, 3523, 33809, 6, 4, 1157, 506, 39340, 6, 4, 6235, 506, 6, 23093, 33809, 2808, 7746, 6, 68558, 6, 5, 6, 68558, 6, 21106, 28726, 32054, 54260, 7972, 16667, 19302, 54260, 148346, 12483, 4852, 18167, 1751, 75230, 1211, 2205, 10676, 97483, 57619, 4852, 14081, 6, 5, 2451, 41764, 2808, 16932, 6, 4, 292, 152036, 710, 22753, 2808, 7265, 4838, 10918, 2882, 16932, 152848, 67826, 2865, 24621, 6, 4, 292, 168892, 364, 54260, 124724, 150764, 40026, 6093, 6, 4, 36324, 6255, 163139, 1644, 42493, 6, 4, 1470, 33809, 5666, 364, 54260, 13497, 220771, 2808, 33809, 1211, 95094, 3069, 31467, 2050, 141879, 1211, 73256, 6, 4, 6255, 163139, 1644, 42493, 6, 5, 58826, 2702, 39340, 119055, 29060, 874, 54260, 1211, 6, 133111, 7511, 2882, 220224, 1211, 6, 5, 2451, 43649, 54260, 125830, 6, 4, 6428, 33809, 2808, 163139, 76866, 16803, 42493, 6, 4, 292, 6, 12130, 7369, 6, 48904, 174798, 54260, 2808, 6, 4, 292, 710, 33809, 137218, 148346, 15533, 2882, 18906, 33809, 8903, 3069, 31467, 109817, 6, 140746, 705, 18225, 46440, 2882, 199250, 1751, 75230, 1211, 6, 148222, 77756, 33809, 5927, 5, 148346, 15533, 2882, 10339, 33809, 1211, 22753, 183216, 4838, 45629, 148346, 705, 2451, 123736, 148346, 6093, 6255, 163139, 1644, 42493, 6, 148222, 77756, 33809, 5927, 6, 4, 1470, 33809, 5666, 6, 170098, 20033, 3069, 31467, 22444, 506, 6, 5, 2451, 49920, 3069, 31467, 2808, 6, 4, 874, 54260, 1211, 97483, 4944, 16932, 6, 4, 6255, 6, 148346, 29060, 1285, 4667, 7265, 4269, 33809, 96986, 2819, 710, 14004, 6319, 54260, 1211, 657, 54260, 2882, 40697, 6, 195054, 91595, 6093, 6, 5, 4151, 15622, 77562, 4113, 3056, 4838, 22492, 69106, 119055, 10705, 54574, 89184, 33809, 23405, 6093, 58826, 1211, 6, 4, 6, 23173, 54260, 104238, 1470, 33809, 5666, 4838, 10069, 96302, 114436, 46601, 125942, 20961, 2819, 6428, 33809, 2808, 119055, 119273, 22426, 23173, 4838, 30682, 39484, 31467, 12483, 4838, 21847, 7682, 149010, 2702, 17190, 148346, 12483, 6, 4, 1470, 33809, 5666, 6319, 33809, 4484, 42493, 230764, 6428, 54260, 23269, 5666, 23173, 40697, 43654, 31467, 13159, 6, 4, 119055, 46646, 39484, 31467, 12483, 124724, 132025, 8903, 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 ]
[ 33809, 50853, 10676, 60980, 22426, 6293, 7265, 21106, 1644, 125563, 75230, 2808, 51328, 710, 38596, 75230, 96986, 6, 5, 2451, 6255, 163139, 1644, 42493, 6, 4, 1470, 33809, 5666, 51328, 6, 5, 2451, 49920, 3069, 31467, 6, 4, 1157, 39340, 292, 6655, 7369, 132025, 8903, 506, 54260, 148346, 12483, 7265, 4838, 54260, 1211, 4838, 83182, 207682, 6, 4, 292, 36324, 7265, 4269, 33809, 96986, 3056, 7265, 4269, 33809, 96986, 2819, 123736, 148346, 6093, 36324, 7265, 6, 148346, 54260, 104149, 119055, 119273, 33809, 12483, 23269, 26612, 6, 57277, 710, 12483, 6, 5, 6428, 33809, 2808, 47567, 16803, 7265, 20033, 6319, 54260, 1211, 34076, 54260, 4944, 159696, 33716, 44779, 42493, 15864, 4944, 12483, 152, 710, 33809, 26612, 6, 17645, 34533, 6, 4, 3069, 31467, 3523, 54260, 1211, 705, 2451, 6255, 163139, 1644, 42493, 6, 4, 1470, 33809, 5666, 8947, 3056, 1470, 33809, 112304, 33809, 16667, 2882, 6428, 54260, 23269, 7508, 54260, 2648, 6, 4, 16175, 174121, 6, 5, 26612, 364, 33809, 2808, 47567, 16803, 41764, 14081, 8903, 1211, 6, 4, 199145, 18225, 364, 54260, 16803, 6, 4, 292, 36324, 42493, 119055, 13845, 132, 26612, 147713, 62067, 4113, 7508, 54260, 79981, 16, 6255, 2451, 1372, 292, 168892, 124724, 3069, 31467, 64751, 42410, 12483, 6428, 54260, 1211, 3069, 31467, 17800, 6, 148222, 51328, 40697, 6, 5, 6428, 33809, 2808, 17288, 54260, 2882, 5332, 4231, 59929, 168892, 7508, 54260, 2648, 705, 2451, 6428, 33809, 2808, 178748, 16803, 205026, 3069, 31467, 14779, 165354, 230764, 67826, 75290, 1470, 33809, 1211, 4838, 54260, 4838, 13845, 23829, 95564, 13159, 6, 238144, 148346, 42493, 220224, 1211, 6, 5, 6255, 39484, 31467, 124724, 9424, 119718, 2808, 109985, 73256, 23050, 74004, 98833, 4838, 4838, 33809, 22492, 18167, 43649, 20616, 364, 54260, 13497, 6, 148346, 54260, 2808, 24857, 874, 54260, 7511, 8903, 6, 5, 2451, 43649, 54260, 125830, 6, 4, 6255, 39484, 31467, 7746, 36324, 75230, 84087, 18367, 148346, 506, 6, 148346, 73418, 36723, 175323, 5332, 159696, 1211, 4838, 2451, 6, 23093, 33809, 2808, 6, 4, 119055, 46646, 6428, 33809, 2808, 163139, 1644, 16803, 6, 5, 9213, 148346, 6093, 6, 148222, 10184, 3131, 1470, 33809, 5666, 6, 148222, 162726, 54260, 8580, 119718, 46646, 6428, 33809, 2808, 185143, 7746, 132025, 8903, 23847, 54260, 2882, 6, 4, 147062, 6255, 42493, 1470, 33809, 23405, 29789, 22426, 7511, 26612, 6, 54260, 8300, 54260, 2882, 17190, 148346, 12483, 6, 5, 9213, 148346, 6093, 6428, 54260, 23269, 6, 186955, 28714, 2648, 40697, 32899, 13497, 54595, 710, 13159, 46440, 16803, 33809, 7265, 20315, 2050, 34076, 7682, 10339, 33809, 1211, 6428, 54260, 1211, 192544, 6, 5, 127731, 6655, 135227, 51369, 15289, 6, 59919, 1644, 20961, 12483, 6, 21106, 28726, 6235, 2648, 33809, 50853, 4838, 33809, 5666, 4231, 40096, 14004, 46244, 4838, 45629, 148346, 6235, 17410, 104149, 9424, 238144, 2808, 6, 109636, 48253, 1470, 33809, 5666, 6655, 4838, 8903, 25391, 54260, 2808, 6235, 146887, 4838, 2451, 7508, 30946, 711, 6235, 506, 6, 23093, 33809, 2808, 7746, 123736, 6, 148222, 9174, 33809, 22426, 506, 65902, 1211, 4838, 33809, 5666, 6235, 1211, 4838, 33809, 26612, 8300, 33809, 4151, 9174, 33809, 22426, 506, 6, 5, 1470, 33809, 5666, 6428, 33809, 2808, 6, 4, 1157, 506, 39340, 6 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4, 6235, 2648, 54260, 20260, 6, 4, 6428, 33809, 2808, 205814, 119055, 12483, 8947, 68313, 69741, 23093, 39484, 31467, 12483, 711, 144754, 6, 148222, 7508, 54260, 2648, 3056, 7369, 6, 23173, 75230, 2702, 6235, 22492, 183216, 4838, 33809, 5666, 7508, 30946, 364, 15907, 22753, 22426, 42493, 8903, 170098, 2882, 9424, 238144, 2808, 73256, 6, 148346, 29060, 12483, 152, 2205, 6, 26394, 54260, 2808, 43649, 33809, 20315, 1211, 4838, 905, 33809, 26612, 4231, 40096, 4838, 8580, 3131, 75230, 1211, 7508, 30946, 132025, 61397, 33809, 55823, 1211, 68273, 34322, 17824, 24295, 36909, 13845, 2648, 6, 5, 2451, 16, 22426, 101296, 4113, 2451, 5, 966, 13159, 3056, 6681, 14004, 148346, 6093, 1470, 54260, 7511, 8903, 119055, 26612, 4944, 12483, 49481, 4151, 77756, 33809, 5927, 4838, 148222, 6, 21106, 28726, 163139, 30473, 96986, 10339, 33809, 1211, 6, 148222, 6, 109316, 22492, 194734, 49920, 12483, 5332, 10339, 33809, 1211, 6, 54260, 26612, 64044, 23269, 506, 36419, 60980, 4113, 14081, 6093, 12483, 6655, 8947, 6, 75230, 2808, 7265, 4838, 506, 104274, 3069, 31467, 6235, 3111, 31467, 51723, 4838, 148222, 44917, 50853, 65482, 41764, 45629, 119718, 15533, 20961, 2702, 6319, 33809, 51723, 1751, 75230, 1211, 42493, 14856, 46244, 6, 4, 2205, 43649, 33809, 22426, 4838, 26612, 26612, 119718, 34533, 1470, 33809, 5666, 17190, 6093, 6, 5, 148222, 41764, 2808, 20961, 41764, 14081, 4484, 91799, 1470, 33809, 5666, 7508, 30946, 17190, 148346, 12483, 7746, 5332, 6, 238144, 6, 54260, 40096, 54260, 148346, 4113, 44779, 2819, 220224, 2808, 1285, 49008, 32054, 54260, 32792, 1470, 33809, 5666, 874, 33809, 13497, 6093, 1470, 33809, 1211, 3523, 16870, 54260, 12483, 10339, 33809, 1211, 132, 69803, 2932, 62067, 4113, 32054, 54260, 79981, 16, 1470, 54260, 22492, 83182, 4235, 292, 26612, 54260, 76776, 83182, 2819, 220224, 2808, 22753, 49008, 41764, 14081, 1644, 46985, 51723, 34076, 7682, 32792, 6, 5, 6, 148222, 22753, 2882, 26394, 1211, 123736, 148346, 29659, 33809, 16747, 43178, 238144, 2702, 3069, 31467, 2808, 6, 74004, 36258, 12483, 6, 4, 51678, 7746, 42493, 9934, 26632, 132025, 4484, 33809, 165354, 6, 4, 6, 74004, 97634, 50856, 54260, 20315, 1211, 6, 5, 657, 71512, 6319, 33809, 20911, 8947, 3069, 31467, 10339, 33809, 1211, 5, 6, 238144, 96986, 1470, 33809, 5666, 46711, 53414, 6319, 54260, 21733, 12483, 7746, 238144, 6, 148346, 2808, 148346, 10339, 33809, 1211, 9213, 506, 25207, 1470, 75230, 8903, 1211, 6, 5, 4838, 23822, 75230, 6093, 161459, 6235, 2648, 167622, 12483, 10339, 115536, 9213, 46244, 40714, 7508, 53414, 2819, 3069, 31467, 6655, 22753, 2808, 42493, 24857, 34076, 7682, 7265, 9213, 506, 25207, 1470, 54260, 2932, 65482, 364, 141943, 7201, 33809, 1211, 7746, 6, 59919, 119718, 20961, 55823, 1211, 705, 7369, 3056, 36324, 2808, 1751, 54260, 59461, 6, 4, 36324, 2808, 4269, 33809, 16932, 1470, 33809, 5666, 36324, 75230, 2808, 54260, 123736, 20315, 44478, 3496, 20961, 34882, 16932, 711, 6, 5, 6, 5, 6, 5, 51328, 8947, 42542, 42493, 220224, 1211, 6, 4, 895, 7201, 43178, 148346, 54260, 1211, 29771, 35189, 43649, 54260, 5666, 119718, 14081, 2648, 874, 33809, 104149, 49481, 6319, 33809, 51723, 6, 5, 6, 148222, 3944, 148346, 12483, 199250, 9213, 46244, 36324, 75230, 711, 5, 6, 5, 99611, 21338, 15908, 6, 4 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7508, 54574, 119055, 29060, 9213, 46244, 49481, 28798, 22492, 220224, 1211, 6, 5, 6, 5, 6, 5, 4838, 21733, 54260, 7511, 20260, 54260, 2882, 6, 71577, 45629, 119718, 15533, 6093, 1054, 7369, 6655, 199250, 41764, 45629, 119718, 2808, 3069, 31467, 6, 73381, 49008, 4838, 54260, 1211, 4838, 23741, 54260, 4484, 6, 5, 8947, 3056, 5332, 22426, 13159, 26612, 23847, 75230, 101608, 1470, 33809, 194734, 93509, 15435, 9424, 119718, 40697, 1211, 1470, 54260, 1211, 6, 71577, 2882, 54260, 4484, 1470, 33809, 5666, 4838, 24621, 54574, 70695, 2050, 6, 5, 2808, 31623, 16932, 43649, 20616, 2882, 1751, 75230, 1211, 6319, 54260, 23269, 11211, 83182, 99611, 220224, 2808, 4838, 55823, 1211, 6, 159696, 2932, 2819, 4231, 29060, 56169, 119718, 23829, 6, 75230, 2808, 119055, 109316, 1211, 6319, 33809, 51723, 6, 4, 1054, 29060, 22753, 2808, 220224, 2808, 34076, 54260, 4667, 220771, 12483, 36324, 22753, 2808, 3056, 22680, 54260, 2808, 1470, 33809, 5666, 220224, 3056, 6, 148346, 6093, 54260, 2882, 3069, 31467, 6235, 148346, 12483, 6, 148222, 364, 104274, 10676, 6, 4, 119055, 13845, 104238, 3944, 148346, 96256, 5594, 1211, 6, 4, 1470, 33809, 5666, 220224, 2808, 3944, 148346, 12483, 199250, 9213, 46244, 6235, 119718, 21292, 6, 5, 19024, 3056, 22753, 2808, 14856, 46244, 42493, 95766, 4838, 149364, 28726, 8903, 5927, 54260, 2882, 6, 159696, 51723, 10339, 33809, 1211, 22753, 2808, 47567, 22753, 2808, 1285, 1470, 75230, 2702, 19302, 54260, 148346, 12483, 6, 5, 29771, 148346, 6093, 1470, 75230, 6, 238144, 4113, 711, 119055, 23173, 33809, 2050, 6319, 33809, 51723, 220224, 42493, 705, 13159, 3056, 6681, 14004, 148346, 6093, 1470, 54260, 7511, 8903, 119055, 29771, 4944, 12483, 6, 5, 1470, 54260, 5666, 2865, 39083, 22753, 2882, 26394, 16747, 24295, 6, 148346, 54260, 1211, 55823, 16667, 16932, 163139, 2808, 6235, 119718, 43590, 2932, 32792, 6, 4, 6655, 22753, 2808, 7369, 39293, 506, 12483, 895, 55823, 2932, 148346, 54260, 1211, 6235, 506, 2882, 148346, 23173, 6, 148346, 54260, 26612, 6, 5, 22753, 2808, 19302, 71577, 2882, 1470, 30682, 6, 68558, 6, 5, 7369, 6235, 506, 2882, 6, 23173, 54260, 1211, 6, 4, 7508, 54260, 40920, 9213, 506, 148222, 11211, 16747, 1470, 33809, 5666, 6, 148346, 1644, 54260, 148346, 2882, 43649, 20616, 12483, 6, 5, 30473, 2808, 6655, 4838, 3131, 75230, 35189, 6235, 207682, 6, 5, 22753, 2808, 6655, 6, 148346, 4113, 46685, 20911, 6, 4, 163139, 2808, 8947, 148346, 170098, 2882, 4838, 46985, 12666, 6093, 163139, 16747, 6, 5, 2451, 119055, 46646, 22753, 2882, 56169, 9213, 46244, 42493, 6, 4, 49920, 2442, 895, 7201, 43178, 148346, 54260, 1211, 705, 129165, 98833, 22753, 2808, 144754, 4838, 149364, 29659, 15350, 18415, 67826, 2865, 36419, 6, 5, 10339, 2451, 9213, 46244, 874, 33809, 4852, 2882, 205026, 64769, 48253, 33809, 1644, 196332, 1211, 6, 4, 32054, 54260, 79981, 2819, 6255, 39484, 31467, 4231, 29060, 56169, 4484, 54260, 23269, 9424, 54260, 2882, 6, 5, 6255, 39484, 31467, 364, 54260, 18415, 55242, 46244, 41764, 15350, 3069, 31467, 6, 23093, 33809, 1211, 6, 5, 30473, 2808, 3056, 2205, 6, 141847, 16803, 149010, 2442, 6, 123073, 101503, 33809, 23405, 6, 4, 7369, 47567, 5332, 22426, 13159, 6235, 506, 51723, 506, 54260, 20315, 1211, 7265, 9213, 46244 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 148222, 4838, 122165, 93975, 7508, 54260, 2648, 6, 148222, 22753, 36419, 6, 4, 6, 148346, 15533, 8947, 47567, 6, 23173, 75230, 6293, 132, 2808, 147713, 62067, 4113, 32054, 54260, 79981, 16, 6, 104378, 2451, 4039, 292, 4484, 33809, 51723, 230764, 6, 148222, 6, 23093, 4113, 28714, 10339, 33809, 1211, 6, 71577, 101503, 17645, 6, 5, 51328, 7369, 43649, 29789, 22426, 4838, 33809, 22426, 3131, 238144, 98833, 1470, 33809, 5666, 1470, 54260, 21295, 7746, 3069, 31467, 6235, 506, 12483, 6, 5, 22753, 2808, 163139, 1644, 4838, 76866, 54260, 1211, 6, 23173, 54260, 2648, 16175, 47351, 6, 159696, 8903, 1211, 20315, 2050, 6, 4, 292, 42542, 22753, 2808, 123736, 148346, 6093, 42493, 6, 4, 22753, 2808, 6655, 42493, 10676, 874, 33809, 23093, 6, 4, 4838, 33809, 5666, 4838, 26612, 17645, 22426, 17410, 104149, 1470, 30682, 36324, 75230, 6, 4, 292, 119055, 6093, 6, 238144, 16803, 6, 4, 119055, 12483, 22753, 2808, 55242, 506, 2882, 4838, 5594, 2882, 6, 76776, 26612, 75322, 14081, 6, 5, 119055, 46646, 6, 23093, 33809, 2882, 18225, 705, 8947, 3056, 6, 148346, 15907, 16932, 163139, 2808, 4151, 16175, 75230, 2882, 5332, 6093, 7508, 54260, 40920, 9213, 46244, 6, 148222, 364, 104274, 1470, 33809, 5666, 163139, 1644, 6235, 506, 51723, 4838, 148346, 16629, 2648, 5332, 2451, 64769, 48253, 33809, 50853, 41595, 6, 4, 49920, 2442, 895, 7201, 43178, 148346, 54260, 1211, 6, 4, 6255, 163139, 1644, 7265, 4838, 54260, 710, 5332, 22426, 1211, 119718, 46646, 7508, 54260, 20315, 1211, 6, 4, 292, 152036, 22753, 2808, 43649, 2808, 17017, 186797, 6, 5, 2451, 123736, 6, 148346, 15907, 18415, 6, 5, 6093, 23292, 101503, 6, 4, 1470, 33809, 5666, 22753, 2808, 6, 238144, 2702, 42493, 6, 4, 163139, 2808, 132025, 8300, 33809, 506, 54260, 148346, 12483, 4838, 2451, 364, 77188, 5332, 5332, 6, 5, 6, 5, 6, 5, 2451, 3523, 33809, 705, 2451, 9213, 46244, 6235, 2648, 54260, 185226, 6, 4, 1054, 46646, 9213, 46244, 6655, 7265, 20033, 6, 59929, 21106, 6235, 8903, 40096, 5332, 2451, 119055, 6093, 42542, 24857, 6, 21106, 7611, 6235, 2648, 54260, 20260, 12483, 6, 4, 199145, 18225, 21776, 506, 2882, 4231, 6, 54260, 26612, 7201, 147713, 12483, 199250, 7508, 54260, 20315, 1211, 10339, 33809, 1211, 6, 21106, 44478, 1644, 54260, 2808, 4838, 23405, 109316, 8903, 5927, 54260, 96986, 5332, 3523, 33809, 657, 6, 159696, 8903, 1211, 119718, 46646, 874, 54260, 13497, 9213, 46244, 705, 2451, 6255, 874, 54260, 6235, 8903, 1211, 10676, 6, 4, 119055, 46646, 9213, 46244, 6655, 20033, 4838, 7972, 120202, 6235, 1211, 31249, 64567, 12483, 10339, 33809, 1211, 4151, 41764, 101503, 17645, 6, 5, 6, 5, 6, 5, 1470, 33809, 5666, 6255, 39484, 31467, 4838, 54260, 216879, 6235, 22426, 14081, 13497, 5332, 2451, 9213, 46244, 6655, 185040, 55242, 46244, 4269, 33809, 2882, 6235, 207682, 2819, 54745, 1211, 7369, 112216, 16803, 6, 137218, 26612, 64044, 4838, 54260, 4667, 42493, 6, 5, 14004, 506, 25207, 1470, 75230, 8903, 1211, 39484, 31467, 12483, 6235, 3111, 31467, 51723, 10184, 177243, 12483, 6681, 32054, 54260, 20315, 4838, 6, 64260, 64260, 119055, 29060, 7369, 7746, 1751, 75230, 1211, 23050, 3149, 51723, 7369, 99611, 12483, 2205, 3944, 148346, 13159, 6235, 111684 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28726, 5332, 4838, 5332, 2451, 9213, 46244, 6319, 35596, 364, 54260, 13497, 6, 207682, 6, 148222, 6, 148346, 13159, 18415, 41764, 101503, 17645, 4838, 6, 29060, 4838, 137218, 22680, 226976, 230764, 1470, 54260, 4667, 16175, 75230, 39293, 16747, 6, 148346, 13845, 12130, 6, 5, 2451, 16175, 75230, 39293, 16747, 6, 5, 6, 5, 6, 5, 119055, 46646, 6319, 33809, 63532, 6, 23173, 75230, 2702, 4151, 10339, 33809, 1211, 705, 18225, 364, 54260, 22492, 57277, 4113, 22426, 24621, 46244, 42493, 163139, 2808, 1470, 54260, 119132, 6, 5, 2451, 6235, 119718, 21292, 2819, 51328, 8947, 105884, 2882, 7746, 36324, 75230, 6, 5, 2451, 9213, 46244, 6655, 20033, 5332, 22426, 13159, 4838, 122165, 150764, 5332, 5332, 6, 5, 6, 5, 6, 159696, 8903, 1211, 5332, 5332, 71577, 45629, 119718, 15533, 20961, 6, 5, 6, 5, 6, 5, 132, 203387, 22492, 194734, 6, 128750, 54260, 79981, 16, 220224, 2451, 1936, 292, 4852, 62067, 22753, 2808, 43649, 98229, 17017, 186797, 1470, 33809, 5666, 6655, 1751, 75230, 1211, 6235, 2865, 54260, 13497, 6, 4, 36324, 163139, 54595, 23829, 6655, 1470, 30682, 1751, 75230, 1211, 4231, 29060, 56169, 6, 23173, 75230, 6293, 6235, 111684, 33716, 123736, 55823, 1211, 6, 159696, 2932, 6, 4, 6, 64260, 6, 159696, 16932, 9213, 46244, 6, 35596, 20315, 165354, 24857, 44917, 5666, 26394, 9174, 20961, 7611, 6, 4, 119055, 29060, 117641, 1644, 12483, 6681, 9213, 506, 45629, 75230, 6293, 6, 148222, 136645, 4113, 6, 4, 163139, 2808, 4151, 42355, 3056, 1470, 33809, 5666, 119055, 29060, 6, 148346, 29060, 12483, 9213, 46244, 364, 104274, 6, 4, 14004, 152848, 2050, 7369, 119055, 29060, 22753, 2808, 6, 148346, 16870, 37016, 12483, 7265, 1285, 23269, 364, 54260, 36419, 6319, 33809, 2702, 12483, 6, 5, 2451, 6, 71577, 45629, 119718, 15533, 20961, 6, 4, 292, 152036, 7369, 6, 4, 292, 6255, 6235, 20315, 20260, 42493, 4269, 33809, 2882, 6, 5, 6255, 506, 29771, 148346, 6, 238197, 10339, 33809, 1211, 6, 21106, 28726, 51723, 6, 5, 51328, 8947, 42542, 220224, 1211, 5, 6, 4, 1470, 75230, 148346, 6255, 9174, 2808, 148346, 8903, 39293, 98833, 6, 4, 23022, 31467, 6255, 6235, 2865, 54260, 13497, 874, 54260, 1211, 173102, 45629, 2648, 43649, 54260, 5666, 119718, 14081, 2648, 6, 4, 119055, 13845, 104238, 30946, 29659, 49481, 1470, 54260, 4667, 6, 5, 6255, 6, 148346, 8580, 657, 54260, 35189, 6319, 54260, 1211, 41764, 45629, 119718, 15533, 20961, 42493, 6, 5, 148346, 54260, 2808, 6, 148222, 119055, 6093, 16932, 6655, 22753, 2808, 6235, 111684, 21295, 6, 4, 8947, 6655, 7746, 9213, 506, 15529, 46646, 123736, 148346, 61397, 2702, 12483, 2205, 9174, 20961, 26394, 1211, 6, 5, 2451, 51328, 6, 4, 3523, 26632, 9221, 32792, 6, 4, 292, 152036, 7369, 6, 238144, 16932, 6, 4, 292, 119055, 12483, 6255, 119055, 158291, 17645, 6235, 4113, 12483, 6, 71577, 45629, 119718, 15533, 20961, 6, 4, 1054, 158291, 6255, 119055, 109316, 1211, 6, 23173, 33809, 148346, 1644, 10184, 6293, 55242, 148346, 16803, 75230, 39293, 16747, 3523, 35465, 6, 5, 9213, 46244, 6681, 43649, 54260, 2882, 199250, 4838, 76866, 54260, 1211, 6, 4, 36324, 1470, 33809, 2050, 3069, 31467, 2808, 6, 73381, 49008, 2808, 54260, 1211, 6, 71577, 2882, 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 ]
[ 4484, 874, 33809, 4852, 18225, 151614, 148346, 12483, 6, 59929, 4667, 6235, 50853, 6, 4, 1470, 33809, 5666, 24857, 42542, 199250, 1470, 54260, 6093, 22426, 2808, 16932, 657, 54260, 35189, 42493, 6235, 148346, 12483, 6, 5, 55242, 506, 2882, 9213, 46244, 6, 4, 36324, 6255, 119055, 158291, 1751, 75230, 1211, 6, 17645, 8903, 506, 15907, 1470, 54260, 1211, 6, 71577, 2882, 54260, 4484, 6, 4, 119055, 158291, 6255, 1470, 54260, 4667, 23050, 506, 51723, 163139, 2808, 9213, 46244, 67826, 96256, 33809, 5666, 6235, 506, 2882, 123736, 42023, 6, 92605, 33809, 33809, 22426, 54260, 39340, 6235, 50853, 1470, 33809, 5666, 6255, 119055, 158291, 24857, 49481, 21776, 166664, 1211, 64044, 4838, 21847, 7682, 3069, 31467, 39484, 31467, 12483, 36324, 2808, 199720, 156325, 163139, 2808, 9213, 46244, 6681, 4838, 22680, 75230, 2808, 6, 5, 51328, 8300, 33809, 2050, 1470, 33809, 23405, 105330, 6, 148346, 8580, 6255, 364, 54260, 50778, 8903, 1211, 169532, 4838, 46590, 33809, 42493, 6319, 54260, 1211, 6235, 39293, 1644, 28726, 2205, 2808, 54260, 1211, 6, 71577, 2882, 54260, 4484, 2819, 6255, 6, 148346, 8580, 14856, 46244, 42493, 163139, 2808, 4838, 80453, 7682, 76526, 10918, 4484, 2205, 1470, 54260, 1211, 71577, 2882, 54260, 4484, 148346, 33809, 2648, 1470, 33809, 5666, 42542, 49481, 364, 54260, 13497, 42493, 364, 54260, 45629, 23093, 12483, 2819, 54745, 1211, 6255, 23050, 56417, 2702, 4667, 6, 71577, 1644, 9424, 159696, 108968, 126230, 148346, 12483, 4838, 3149, 93509, 6, 5, 4151, 7265, 42542, 6255, 49481, 4838, 238144, 148346, 42493, 6093, 22492, 46244, 12483, 6, 5, 6255, 6, 238144, 2702, 199250, 6, 4, 119055, 46646, 9213, 46244, 220224, 2882, 119055, 77188, 6, 4, 1470, 33809, 5666, 24857, 148346, 8580, 6255, 42493, 1470, 33809, 2050, 43649, 104274, 4113, 3069, 31467, 2808, 6, 148346, 20616, 75230, 22426, 96986, 6, 5, 6, 17645, 6, 4, 1470, 33809, 5666, 6, 159696, 8903, 1211, 874, 54260, 1211, 4484, 64665, 69859, 43649, 54260, 5666, 119718, 14081, 2648, 6, 4, 119055, 13845, 104238, 3056, 2205, 1470, 54260, 4667, 36324, 75230, 6, 59919, 7972, 148346, 2882, 6, 4, 42542, 168892, 1470, 54260, 4667, 1470, 75230, 4667, 220771, 12483, 6, 4, 36324, 20033, 1285, 49008, 6, 148346, 54260, 20315, 2205, 1470, 54260, 1211, 6, 71577, 2882, 54260, 4484, 6, 148346, 33809, 127731, 33809, 5666, 20033, 23050, 506, 51723, 6, 148346, 54260, 20315, 3069, 31467, 9934, 98229, 51723, 83066, 1470, 33809, 5666, 9424, 119718, 2808, 112690, 5666, 7508, 33809, 148346, 1644, 78891, 182759, 2882, 6, 5, 710, 20961, 10339, 33809, 1211, 6428, 119273, 6, 159696, 8903, 1211, 6, 4, 3944, 148346, 4113, 3944, 22492, 19532, 32955, 22426, 2808, 119718, 22492, 6, 4, 117641, 21295, 6, 148346, 54260, 2808, 7746, 905, 203387, 22492, 5666, 24621, 32054, 54260, 79981, 16, 42493, 2451, 2789, 292, 7511, 2882, 4838, 45629, 148346, 6, 5, 8947, 3056, 49481, 19024, 6235, 3111, 31467, 2932, 4231, 33809, 5666, 8903, 14856, 110970, 12483, 5332, 5332, 147713, 84577, 20616, 20616, 25207, 1211, 6, 4, 119055, 13845, 107581, 9174, 203387, 3131, 12483, 125523, 7508, 54260, 4667, 4838, 33809, 5666, 119055, 13845, 96986, 119055, 109316, 1211, 4838, 54260, 18640, 105330, 32792, 84054, 12483, 6, 4, 119055, 12483, 220224, 26612, 58032, 14081, 96986, 364 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 0, 378, 7146, 12, 122, 18124, 8613, 7462, 16498, 7049, 289, 1081, 268, 378, 1723, 127427, 12, 40464, 268, 378, 211232, 9956, 94940, 12, 378, 31, 5, 1238, 177, 5, 86245, 378, 117772, 80217, 12, 378, 25, 6210, 21777, 10597, 19, 4, 105541, 4, 128136, 9, 190944, 25, 86245, 378, 131514, 15300, 12, 1310, 18124, 8613, 7462, 7477, 6, 22341, 268, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 131192, 22426, 192900, 905, 104238, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 292, 73930, 2865, 5, 5950, 149364, 2702, 68558, 506, 53805, 7758, 103955, 22753, 905, 61487, 17800, 6, 5594, 9174, 4484, 17494, 84250, 2702, 126912, 506, 5, 132, 22426, 710, 36609, 194, 10069, 44917, 29631, 7265, 11265, 1751, 54260, 59461, 6, 80453, 91595, 123329, 70695, 23741, 4, 506, 64260, 4269, 64260, 6681, 220224, 1211, 30109, 75230, 5666, 29659, 15096, 185000, 5, 10069, 4269, 64260, 506, 54260, 2882, 4, 1285, 44917, 29631, 6681, 143409, 2882, 4, 9424, 119718, 23174, 2882, 177274, 128364, 73381, 161829, 40653, 13342, 212484, 1211, 1470, 145813, 14303, 4, 1470, 210228, 3120, 7746, 230764, 4151, 159696, 21295, 5, 95455, 3056, 4151, 192556, 3120, 4151, 6, 140898, 4, 3120, 4151, 182990, 68697, 121263, 133454, 6, 205513, 2200, 6, 159696, 21295, 28726, 12984, 27702, 95494, 6293, 5, 37271, 80453, 905, 89979, 18279, 20971, 80839, 4944, 149364, 2882, 1470, 54260, 4667, 2200, 874, 77188, 1470, 54260, 4667, 4, 95455, 5, 3056, 20961, 54260, 5666, 193120, 6235, 119718, 29766, 1211, 148620, 564, 137119, 3120, 6, 17645, 35465, 17190, 30750, 103023, 1211, 128364, 73381, 161829, 2200, 199145, 101251, 25491, 119718, 10705, 16803, 30473, 29171, 150839, 54260, 2648, 65146, 7369, 1470, 75230, 2702, 7201, 39083, 15388, 95455, 3523, 26632, 9221, 192956, 6235, 39293, 7611, 5, 10069, 17741, 506, 96302, 3131, 4, 46050, 4944, 213952, 16175, 75230, 4852, 13497, 6093, 2200, 23165, 107189, 101328, 49008, 101328, 61621, 230764, 51963, 83066, 4, 3069, 21847, 54260, 4667, 7265, 51963, 83066, 131445, 125897, 9721, 172195, 4, 506, 64260, 37729, 1470, 157175, 4, 199145, 3056, 219047, 101251, 1982, 34882, 62067, 4, 132025, 8903, 506, 75230, 18406, 2932, 54260, 1211, 230764, 9424, 238144, 6, 131445, 2200, 1285, 87680, 9424, 238144, 292, 187055, 364, 35596, 132025, 8903, 506, 75230, 18406, 199184, 5, 37826, 132025, 8903, 506, 75230, 18406, 6, 210674, 1211, 2200, 164406, 42493, 3069, 6681, 8903, 46053, 4, 199145, 7369, 37826, 6681, 210674, 4, 37826, 7369, 7746, 177157, 12130, 185000, 657, 75230, 28320, 6235, 29659, 158291, 3120, 1285, 212053, 2200, 15750, 21527, 4, 199145, 159190, 24390, 5, 95455, 3056, 1285, 364, 63188, 2808, 21847, 131539, 3131, 80453, 2808, 4667, 4, 199145, 3056, 219047, 6681, 90536, 18406, 3120, 4231, 114436, 5332, 204403, 107581, 5, 54595, 75230, 37826, 7746, 1285, 17741, 506, 96302, 3131, 165284, 150020, 238144, 4852, 6, 62067, 119718, 7682, 21295, 1019, 18553, 2648, 12890, 6, 59094, 149364, 2702, 68558, 144754, 35532, 4, 7265, 145813, 45629, 4667, 4, 199145, 6319, 54260, 1211, 69529, 6, 56052, 3120, 1285, 40653, 125897, 87096, 448, 6681, 87311, 15388, 95455, 7243, 5, 2808, 19302, 54260, 59461, 16175, 54260, 1644, 3120, 4151, 115556, 506, 54260, 2882, 4, 564, 54260, 6, 159696 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 51723, 95455, 20315, 20260, 12483, 3056, 6, 29060, 119718, 120467, 28415, 6, 62067, 119718, 7682, 21295, 4, 57973, 4151, 3131, 22426, 54196, 10676, 27023, 1982, 40653, 13342, 212484, 1211, 125523, 7746, 1470, 16175, 54260, 1644, 3120, 220224, 6093, 4269, 54260, 175483, 1211, 6, 218674, 5, 64044, 8300, 54260, 4944, 171428, 4, 6681, 25391, 54260, 18406, 4, 199145, 220224, 57973, 6235, 104149, 4, 6681, 210674, 4, 35189, 44478, 13497, 2205, 220224, 6093, 58571, 64213, 81444, 4852, 54260, 1211, 5, 4852, 54260, 6, 225975, 1211, 4, 6150, 4151, 6235, 2882, 192956, 2442, 113318, 364, 140898, 4, 199145, 1751, 203749, 2882, 2648, 120467, 17824, 48350, 1644, 40653, 1211, 6319, 137377, 12, 119055, 162785, 711, 1285, 207013, 70695, 23741, 9356, 61541, 96256, 75230, 4667, 10676, 22518, 54260, 75578, 292, 22518, 54260, 1982, 711, 69355, 874, 54260, 1211, 40026, 82576, 15622, 105405, 4, 119055, 12483, 6255, 7501, 6, 158291, 6235, 159696, 1211, 8300, 159696, 108968, 4231, 29766, 4, 78278, 364, 54260, 50778, 38249, 166464, 4, 10339, 39083, 2932, 6255, 1470, 75230, 2702, 10676, 81444, 4852, 133671, 25491, 61541, 5, 2808, 19302, 54260, 119132, 16175, 54260, 1644, 3120, 874, 54260, 1211, 7213, 33225, 4, 37826, 11265, 81444, 6681, 7746, 95766, 10676, 6, 229340, 5, 159696, 2882, 8947, 1470, 54260, 4667, 6235, 61541, 1211, 705, 54574, 100495, 6, 101328, 711, 18553, 2648, 15949, 5950, 149364, 2702, 68558, 5, 35189, 8300, 54260, 1644, 33104, 49008, 3120, 45521, 50853, 1126, 14081, 28714, 6, 148346, 25603, 22492, 132, 26217, 18415, 3523, 83586, 16, 35189, 874, 29766, 15388, 3056, 125523, 3120, 4231, 114436, 220224, 2882, 16175, 9221, 6235, 29659, 226976, 2200, 74806, 119718, 116628, 5, 14081, 7611, 2205, 45521, 50853, 3056, 125523, 67826, 1644, 6235, 147713, 1211, 2200, 6235, 127583, 4, 4151, 137, 22426, 75322, 149364, 29771, 155, 199145, 506, 64260, 3523, 91595, 1211, 1470, 64890, 57619, 1211, 166464, 119055, 13845, 28320, 6235, 75290, 2882, 4, 3056, 7746, 125523, 122133, 30750, 112389, 2882, 2205, 4852, 54260, 1211, 133190, 4113, 130363, 90848, 12984, 2200, 1470, 22426, 12130, 1470, 75230, 4667, 1470, 29434, 710, 17017, 6235, 51172, 22426, 2882, 5, 1470, 119055, 10705, 83182, 192956, 1751, 54260, 23269, 67826, 63849, 54260, 2882, 37826, 7746, 40653, 4151, 41764, 98229, 22426, 2808, 9424, 79238, 80453, 54260, 2882, 5, 6319, 54260, 1211, 1751, 29766, 4667, 95766, 45521, 50853, 37826, 7746, 7243, 221387, 4, 6319, 54260, 1211, 6, 130929, 21338, 230764, 1470, 564, 75230, 2050, 37826, 7746, 7243, 1982, 26612, 159696, 98833, 4, 6319, 75230, 2050, 4, 6319, 75230, 2050, 4, 199145, 874, 26, 506, 64260, 6235, 88660, 13497, 364, 53414, 4838, 10339, 54260, 8903, 28726, 2205, 23050, 16803, 17410, 33104, 16932, 4151, 187667, 93497, 147582, 8903, 44779, 41764, 13456, 153222, 1211, 2200, 23165, 1470, 75230, 4667, 95455, 67826, 28726, 56914, 12483, 7746, 3120, 1285, 17824, 75230, 36419, 564, 128117, 153222, 152848, 1285, 79100, 198093, 43649, 53414, 4, 199145, 6, 101470, 7746, 55049, 1211, 2205, 1285, 220224, 28320, 4, 17190, 81829, 7746, 1470, 54260, 16667, 125523, 1470, 54260, 16667, 2200, 193178, 32054, 54260, 10676, 6, 159696, 2932, 7201, 23173, 1211, 27702, 25222, 49008, 4, 199145, 37826, 3944, 4944, 46545, 7746, 9424, 79238, 2865, 54260, 10813, 2882, 6428, 99766, 2205 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 37016, 151614, 162642, 29771, 13497, 5, 9356, 50853, 37826, 7746, 4151, 117753, 9424, 21660, 88917, 1211, 2200, 1285, 17824, 75230, 192956, 16175, 75230, 23822, 137377, 16667, 2808, 75230, 6293, 1285, 3947, 76179, 506, 115222, 22426, 44779, 57973, 6, 139449, 1751, 26632, 52541, 230764, 4269, 39083, 2648, 5, 26612, 7508, 54260, 16932, 7265, 47833, 19532, 137377, 8903, 55049, 16932, 16175, 83957, 108020, 2932, 2808, 40653, 1285, 1470, 75230, 15388, 4, 4838, 3131, 54260, 59461, 1470, 75230, 2702, 8903, 30750, 16932, 9934, 64260, 1644, 230764, 1470, 180141, 1211, 137, 36419, 112593, 22492, 155, 59919, 2442, 83066, 213952, 564, 54260, 35189, 220224, 2882, 1470, 9424, 238144, 28320, 45521, 38054, 4, 1470, 137, 2702, 54260, 22492, 2004, 3056, 7265, 4838, 220224, 28320, 132845, 4113, 22426, 39340, 3120, 8300, 119718, 65689, 1285, 3947, 76179, 850, 19532, 75230, 2702, 130991, 1470, 75230, 33225, 6, 74004, 27105, 133671, 620, 23829, 4667, 5, 1470, 54260, 23405, 29060, 33104, 165354, 2205, 2808, 6, 238144, 101608, 1751, 75230, 2050, 220224, 49008, 1285, 45521, 38054, 6235, 159696, 1211, 4, 2200, 1470, 1751, 159696, 25207, 7544, 79950, 54260, 2882, 3056, 1470, 75230, 4667, 2808, 75230, 33225, 41764, 12130, 3120, 7508, 54260, 16932, 6235, 147713, 1211, 4, 6319, 35596, 7682, 4, 47833, 220224, 57973, 1470, 6, 143409, 4113, 1751, 186145, 39340, 27909, 4944, 8903, 101296, 40920, 1285, 6, 76776, 40920, 5, 963, 69855, 111996, 6, 59094, 149364, 2702, 68558, 2808, 75230, 6293, 1285, 6, 34575, 6093, 71512, 2702, 133454, 9934, 64260, 1644, 37826, 7746, 4151, 7508, 54260, 16932, 1470, 75230, 7201, 190135, 4, 6235, 119718, 29766, 33225, 1285, 34072, 38249, 159190, 2200, 159190, 292, 119055, 10705, 7501, 6255, 32, 16175, 7201, 75230, 170479, 46598, 119055, 53414, 38, 85346, 7746, 7243, 56170, 1644, 75230, 61621, 5, 4838, 657, 54260, 4944, 16932, 10498, 54260, 10813, 37826, 220224, 23269, 1285, 151227, 710, 22426, 1211, 6, 26394, 73381, 13497, 2200, 220224, 23269, 43449, 75230, 4113, 1470, 75230, 49209, 57973, 7746, 148620, 56040, 17800, 1470, 54260, 5666, 8903, 8903, 46053, 92500, 364, 75230, 4667, 1470, 75230, 33225, 52059, 1470, 6, 225975, 6235, 97634, 1211, 32054, 54260, 44779, 12, 3944, 40920, 123329, 166464, 38, 6, 101328, 4, 6, 64260, 6428, 99766, 68313, 8947, 38, 6, 23173, 54260, 54561, 21660, 213952, 7746, 98252, 2205, 9934, 64260, 1644, 4, 37826, 7369, 364, 59929, 46545, 4838, 21422, 6235, 97634, 1211, 10069, 9424, 75230, 2050, 564, 54260, 2050, 6, 107581, 112593, 22492, 2200, 7746, 56170, 3111, 51723, 130154, 2702, 4, 34076, 54260, 4667, 73784, 3373, 57277, 10918, 68558, 137, 1982, 5, 155, 10069, 29434, 54260, 9424, 141943, 105330, 7508, 84577, 83957, 203232, 4, 199145, 3944, 15388, 9424, 79238, 80453, 54260, 2882, 163139, 1285, 147582, 21847, 69355, 4838, 98664, 2865, 135118, 4113, 2205, 564, 54260, 20315, 220224, 28320, 133454, 5332, 1982, 57277, 10918, 68558, 137, 1982, 5, 155, 1285, 34072, 141943, 4113, 141562, 40920, 1982, 75230, 46685, 4, 1285, 6, 73906, 51723, 61397, 2882, 16747, 44779, 1470, 54260, 23405, 29060, 33104, 165354, 2205, 6681, 159377, 1211, 9424, 119718, 15907, 4, 119718, 120467, 57973, 7746, 160751, 29766, 1211, 148620, 874, 29766, 105405, 75230, 4, 57973, 163139, 74806, 119718, 10705, 51723, 10676, 7508, 54260, 16932, 4838, 39340 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15388, 1285, 1470, 75230, 15388, 5, 2200, 199145, 6, 113889, 216510, 7369, 3056, 73784, 6, 105235, 21338, 3069, 130991, 21106, 7611, 32054, 54260, 192956, 2442, 3056, 220224, 1211, 41764, 12130, 6235, 119718, 29766, 1211, 2200, 64699, 101251, 1982, 26612, 119718, 10705, 16803, 30473, 29171, 57973, 4852, 54260, 23269, 3944, 22426, 1211, 5950, 54260, 1211, 1470, 32054, 54260, 44779, 4269, 10705, 48253, 88911, 1644, 1470, 75230, 1982, 8903, 7201, 54260, 23741, 5, 4151, 73095, 112593, 22492, 506, 64260, 1470, 75230, 4667, 95455, 6, 105235, 21338, 4151, 142196, 20911, 5, 37826, 1470, 75230, 7201, 190135, 1285, 1470, 75230, 53414, 4, 6, 26394, 73381, 13497, 1285, 6, 113889, 4852, 192956, 2442, 7746, 32054, 54260, 44779, 1470, 75230, 2702, 8903, 506, 142673, 29060, 4, 2200, 1470, 75230, 2702, 6235, 119718, 2808, 75230, 5927, 54260, 96256, 22426, 154289, 4, 7746, 130363, 710, 25207, 159696, 2882, 73784, 7508, 62067, 3131, 29771, 3120, 45521, 7972, 109636, 3373, 62067, 3131, 13159, 5, 35189, 15864, 30741, 2808, 16932, 364, 106559, 4, 199145, 37826, 230764, 1285, 10339, 29771, 35189, 105235, 1157, 22426, 13159, 6235, 13982, 52480, 21295, 564, 54260, 2050, 7508, 62067, 3131, 29771, 4, 3056, 6, 84577, 39340, 15388, 1285, 45521, 38054, 1470, 75230, 111137, 3131, 80453, 109226, 7265, 4838, 506, 54260, 168155, 123329, 12023, 44478, 54260, 2200, 7243, 6235, 212484, 2882, 4838, 81414, 2882, 160204, 6, 238144, 16932, 5, 4151, 6, 21106, 16932, 61541, 710, 109636, 4, 199145, 37826, 2205, 137, 22426, 26632, 101328, 155, 6, 105235, 39340, 44779, 73784, 157831, 10339, 54260, 6093, 160751, 90848, 12984, 4, 506, 64260, 220224, 23269, 17824, 75230, 36419, 1470, 75230, 15388, 1470, 75230, 111137, 506, 75230, 18406, 4, 1470, 6, 98055, 6, 193120, 73784, 7508, 54260, 16932, 92500, 132025, 8903, 25391, 116628, 1470, 75230, 33225, 364, 106559, 12, 137, 78683, 163177, 174121, 46601, 25491, 20971, 5, 123736, 4, 18133, 4, 81444, 1211, 77014, 11556, 13845, 4, 54595, 75230, 40026, 4, 3120, 119055, 226976, 32, 6, 81050, 19532, 137377, 6, 159696, 67873, 20033, 81414, 20260, 12483, 1470, 15864, 18415, 38, 55242, 133190, 130745, 25491, 37826, 1285, 4667, 7243, 4151, 4484, 35596, 27, 2451, 97995, 182879, 46646, 4, 3373, 76632, 29766, 38, 6255, 7501, 4838, 12890, 35044, 6, 71577, 151461, 2648, 29771, 4, 6255, 119055, 13845, 1751, 109636, 16932, 3069, 104378, 4, 6, 158699, 3120, 564, 54260, 23269, 2882, 159696, 49209, 44458, 107581, 69181, 17537, 4, 66616, 96256, 657, 25603, 22492, 38, 2200, 7369, 68313, 6, 238144, 16932, 2205, 6, 105235, 21338, 6, 23173, 54260, 23405, 6093, 161577, 5, 2808, 1751, 119718, 20961, 7611, 506, 5666, 26, 4113, 119718, 103023, 7213, 13805, 1644, 4, 122133, 1982, 3523, 34882, 29060, 4, 7265, 9424, 238144, 1751, 119718, 20961, 26394, 10339, 54260, 123073, 29025, 54260, 1644, 33104, 49008, 3120, 45521, 50853, 534, 2808, 75230, 15388, 3056, 133454, 1751, 104855, 6, 23173, 75230, 2702, 12, 97483, 96256, 38, 119055, 6093, 3056, 81444, 6235, 159696, 1211, 4, 119055, 6093, 37826, 9719, 4667, 81444, 6235, 23847, 34533, 32, 42493, 5950, 28714, 564, 25603, 22492, 32, 2451, 15857, 4, 15857, 4, 15857, 4, 9213, 4944, 26612, 874, 137218, 38, 81444, 1211, 77014, 11556, 13845, 3056, 6235, 159696, 1211, 4, 7369, 119055, 29060 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9356, 50853, 72631, 7682, 104378, 5, 95455, 1751, 7682, 10813, 37826, 1470, 15864, 69106, 6235, 97634, 1211, 12, 115222, 12023, 12483, 4, 115222, 12023, 12483, 38, 22753, 37826, 4852, 18167, 19532, 75230, 1982, 8903, 1982, 75230, 15388, 40653, 1211, 162726, 75230, 2882, 4, 6, 113889, 4944, 8903, 25391, 116628, 10676, 7508, 54260, 16932, 4, 199145, 22753, 37826, 24390, 6319, 75230, 2050, 132025, 8903, 104149, 12, 68542, 101328, 1982, 4, 5950, 28714, 564, 25603, 22492, 38, 32887, 5332, 1982, 149364, 29771, 5950, 28714, 564, 25603, 22492, 4, 2200, 68313, 6, 57277, 57619, 213952, 98252, 6, 23173, 54260, 1211, 2205, 1751, 104855, 5, 1982, 54260, 1470, 19302, 54260, 1211, 67826, 17160, 4, 29434, 54260, 119055, 35596, 3120, 657, 54260, 2050, 4, 2200, 1285, 10339, 29771, 35189, 105235, 3120, 10918, 100863, 4, 119055, 10705, 3373, 26, 68313, 7265, 1751, 119718, 20961, 7611, 6319, 75230, 1644, 132025, 8903, 25391, 710, 18406, 137, 46685, 46985, 2648, 29771, 22444, 4944, 29771, 155, 3056, 10705, 16747, 168155, 7508, 54260, 16932, 43649, 54260, 1211, 6235, 90536, 18406, 4, 37826, 7746, 133454, 45521, 38054, 6, 23173, 137377, 132025, 23269, 1982, 75230, 49209, 4, 137377, 8903, 1982, 88917, 1211, 10676, 3373, 54260, 22492, 5, 2200, 73784, 3373, 12666, 109636, 21733, 4, 199145, 6681, 1211, 67826, 17160, 70845, 3069, 8903, 1982, 88917, 1211, 4, 3056, 3069, 8903, 7201, 29766, 1211, 73784, 45521, 16667, 16932, 1644, 5, 159308, 67826, 1644, 12984, 5, 3120, 21776, 159696, 20260, 4113, 132025, 23269, 21733, 2808, 22426, 2882, 12, 292, 1470, 45521, 38054, 4, 7508, 26, 220224, 5666, 119718, 1644, 38, 1470, 3373, 54260, 22492, 4, 11265, 6319, 35596, 70845, 145813, 226976, 2200, 42493, 119718, 101503, 213952, 230764, 6319, 54260, 1211, 6, 35596, 59919, 4, 37826, 7369, 1470, 75230, 2702, 8903, 13982, 54260, 2882, 10676, 73095, 112593, 22492, 4, 40653, 8903, 25616, 54260, 56169, 1285, 21776, 1644, 46053, 3120, 4151, 564, 47351, 4, 3056, 6, 23173, 54260, 1211, 2205, 4151, 9424, 238144, 16932, 45223, 23741, 3120, 105235, 21338, 2200, 7746, 120202, 190135, 23050, 18406, 4151, 191795, 7972, 153222, 3120, 81444, 1211, 41764, 16870, 90848, 2200, 132025, 8903, 21733, 71577, 2882, 1470, 54260, 8580, 4667, 6, 13497, 9221, 12, 2451, 4838, 73375, 1157, 6, 172060, 77188, 2808, 4, 44438, 113889, 38, 2451, 21374, 12483, 8947, 32, 37826, 7746, 1470, 6681, 31249, 29771, 33225, 52059, 221387, 5, 1470, 45521, 16667, 16932, 1644, 37826, 4852, 18167, 6235, 73381, 13497, 2200, 4151, 1751, 135118, 6093, 37826, 19532, 75230, 166664, 1982, 75230, 49209, 10676, 6319, 137377, 5, 2451, 123736, 4, 18133, 78278, 1211, 8947, 4, 163849, 7682, 32, 6, 12483, 3496, 76632, 2648, 29771, 5332, 33225, 6255, 124724, 230764, 5, 2451, 6, 75578, 96256, 4, 22518, 54260, 2882, 32054, 54260, 44779, 4151, 1751, 135118, 6093, 73784, 6, 238144, 1982, 292, 169550, 163849, 68313, 81444, 38, 26612, 6, 56914, 59919, 6, 170645, 3120, 6, 21106, 88660, 506, 39083, 2200, 6, 57277, 1982, 92605, 37826, 7746, 4838, 6, 121865, 6235, 97634, 1211, 103854, 4151, 123736, 7201, 114436, 16175, 9221, 4, 36324, 4151, 7508, 54260, 16932, 37826, 6235, 192575, 2882, 159308, 6, 37016, 3120, 4151, 204403, 13497, 83957, 4, 7746, 56170, 128540, 1285, 6, 113889, 4852, 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 ]
[ 2451, 292, 16742, 4, 199145, 6681, 1470, 63259, 7611, 3373, 26, 105515, 7746, 81444, 38, 151614, 16803, 22639, 448, 23050, 192061, 6, 210726, 75230, 36419, 2007, 5594, 3523, 91595, 1211, 4, 41764, 45619, 32, 55242, 133190, 4, 4838, 46590, 905, 4838, 81414, 2882, 3069, 160204, 3056, 7243, 29771, 119718, 10705, 4, 6, 64260, 95455, 364, 54260, 16803, 132025, 8903, 3131, 22426, 116628, 4, 132025, 8903, 13458, 34882, 29060, 5, 35189, 1751, 135118, 6093, 41764, 45619, 5, 84475, 163139, 1285, 44917, 905, 48253, 120467, 6, 225164, 70845, 12, 81444, 1211, 41764, 16870, 90848, 4, 1530, 4852, 38054, 12890, 6, 59094, 149364, 2702, 127827, 26612, 4231, 17310, 6093, 212915, 3120, 4838, 4231, 29766, 2273, 7265, 220224, 6093, 4838, 177157, 22426, 40096, 65689, 41764, 12130, 2200, 19302, 905, 8903, 2808, 75230, 15388, 4, 37826, 4838, 10498, 54260, 10813, 6235, 97634, 1211, 12, 2451, 874, 26, 75230, 77188, 1470, 54260, 5666, 8903, 119718, 2808, 75230, 13497, 7265, 220224, 4, 78891, 18640, 29771, 4, 3373, 26, 68313, 6, 80453, 124873, 27, 2451, 6, 101328, 4, 151614, 16803, 198754, 4, 874, 26, 159696, 33716, 1470, 54260, 5666, 8903, 119718, 2808, 75230, 13497, 4, 186554, 4, 36324, 3373, 26, 68313, 47833, 2808, 54260, 2932, 16667, 27, 1470, 6, 142673, 506, 27, 35189, 1751, 135118, 6093, 4, 199145, 37826, 6235, 163398, 2205, 132025, 97634, 1211, 95455, 21776, 21733, 4, 3056, 7265, 2808, 54260, 1211, 6, 23173, 17160, 6, 47351, 132025, 8903, 34079, 65482, 2050, 2200, 10676, 9424, 238144, 28320, 4, 4838, 657, 54260, 103023, 1211, 4, 43649, 54260, 1211, 6235, 90536, 18406, 92500, 37826, 70845, 132025, 8903, 98055, 2882, 12, 2451, 199145, 56170, 26612, 6, 142673, 506, 4, 199145, 56170, 6, 47351, 1470, 54260, 2932, 16667, 4, 163849, 7682, 32, 78278, 34079, 3069, 2865, 39083, 1470, 75230, 4667, 7243, 7213, 28317, 133454, 3523, 91595, 133671, 427, 28320, 54745, 6, 218241, 104855, 25207, 32, 1470, 119055, 10705, 151614, 16803, 33104, 91595, 1211, 6681, 13458, 115536, 10676, 17953, 104855, 32, 18133, 55242, 16803, 1470, 75230, 2702, 6150, 75230, 20033, 27, 2451, 6255, 7213, 72402, 32, 4151, 238144, 1644, 125523, 7243, 4, 133190, 33960, 1982, 20033, 1470, 34076, 48350, 1644, 4, 6, 238144, 17410, 18167, 7501, 190800, 139449, 3120, 4151, 21374, 44478, 6, 76776, 40920, 5, 2451, 199145, 208879, 124724, 4, 6, 47351, 123736, 48253, 29771, 49920, 2865, 48904, 120467, 32, 2451, 3523, 54260, 1211, 4, 1470, 180141, 2702, 33960, 1982, 4, 1470, 41764, 134193, 4113, 134973, 17645, 4, 6, 238144, 1644, 3373, 26, 14004, 1982, 21295, 205026, 4151, 101080, 7611, 6428, 54260, 59461, 5, 35189, 1751, 135118, 6093, 37826, 6681, 203326, 1211, 1470, 3944, 22426, 4, 37826, 132025, 8903, 2932, 120467, 1211, 1470, 134973, 17645, 4, 1470, 159696, 4484, 190135, 1470, 75230, 33225, 6, 87311, 34575, 69859, 29766, 4, 2200, 7746, 6, 139449, 1470, 75230, 22680, 75230, 51723, 2205, 1751, 135118, 5, 10069, 3944, 40920, 125897, 6, 119312, 4, 199145, 3056, 6, 23173, 75230, 2702, 130991, 2205, 117753, 4, 37826, 4838, 117902, 2442, 3120, 14004, 25207, 4269, 39083, 2648, 29659, 48775, 67873, 37729, 4151, 123736, 7201, 114436, 16175, 9221, 2205, 1751, 135118, 6, 23173, 54260, 1211, 1470, 75230, 4667, 74806, 93449, 92500 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4269, 39083, 2648, 27702, 3131, 64260, 1211, 10676, 132025, 8903, 39248, 92605, 213783, 6, 76776, 46053, 117902, 1644, 5, 1285, 657, 54260, 2648, 125897, 46654, 4113, 86733, 4, 9424, 87309, 29771, 4944, 65482, 34076, 48350, 6093, 4, 1751, 46545, 44779, 6, 88660, 22849, 46646, 4, 3496, 98229, 68558, 4, 77014, 136108, 71512, 2702, 4, 1285, 114564, 54260, 2050, 2200, 63259, 7611, 4, 199145, 37826, 7746, 6235, 119718, 14081, 61397, 2882, 230764, 4151, 118076, 4, 37826, 4151, 191795, 7972, 153222, 90848, 159308, 10213, 103433, 6235, 75290, 2882, 4, 6, 61397, 75230, 63532, 5, 163849, 37826, 6235, 110129, 20260, 12483, 4, 6681, 75230, 104238, 2882, 4, 2200, 76961, 6, 238144, 28726, 160751, 161577, 95455, 170791, 4, 4838, 119055, 10705, 4151, 6, 75290, 6093, 159308, 10213, 103433, 37826, 4151, 23847, 54260, 40920, 5, 7369, 37826, 6235, 188301, 2882, 7508, 75230, 51723, 4, 1470, 159696, 4484, 190135, 10676, 564, 48350, 21292, 4, 3056, 7369, 3069, 3069, 163849, 1211, 4, 19532, 75230, 111137, 1644, 54260, 98833, 564, 54260, 20315, 364, 35596, 230764, 1285, 6, 162785, 1644, 12483, 2200, 98055, 213952, 7265, 3944, 30750, 70845, 2205, 1285, 1470, 75230, 15388, 4, 4838, 6, 225975, 6235, 97634, 1211, 12, 25207, 29025, 54260, 1644, 33104, 49008, 3120, 45521, 50853, 2681, 2451, 182261, 874, 17268, 20260, 874, 54260, 59461, 3056, 124724, 1751, 75230, 1211, 216333, 32, 1470, 75230, 2702, 61397, 75230, 63532, 10676, 14004, 17160, 5, 2451, 3373, 26, 506, 75230, 47332, 7746, 4838, 46590, 905, 7243, 6, 68558, 38, 4151, 9213, 17160, 3056, 6, 142673, 506, 4, 70845, 7508, 54260, 29171, 2882, 18225, 6150, 75230, 4269, 18167, 7243, 1470, 75230, 2702, 27, 2451, 199145, 6681, 4838, 6, 142673, 506, 3056, 124724, 5332, 22426, 13159, 364, 54260, 13497, 6, 23173, 54260, 1211, 2205, 6319, 137377, 4, 6, 75322, 18640, 29771, 32, 3131, 75230, 1211, 95455, 9424, 238144, 18415, 874, 39083, 4, 6150, 18133, 119055, 20961, 17748, 2882, 20033, 3069, 95455, 119055, 99766, 5, 2451, 2205, 6319, 137377, 6, 225975, 126934, 32, 1285, 6, 142673, 506, 3056, 7243, 2205, 6319, 137377, 4, 22753, 3056, 2205, 73906, 2882, 27, 95455, 3056, 169550, 6, 198477, 6, 142673, 506, 292, 4838, 27855, 177243, 4, 4838, 30109, 4113, 17017, 27, 35189, 43649, 23173, 75290, 6, 75290, 149364, 133454, 191795, 7972, 153222, 90848, 37826, 4838, 21422, 16932, 6235, 97634, 1211, 5, 2451, 123736, 4, 95455, 874, 54260, 16667, 34079, 32, 20632, 4, 6, 238144, 126934, 81444, 4667, 4, 119055, 6093, 3373, 26, 506, 64260, 205026, 4151, 13342, 160751, 48775, 40920, 32, 56170, 3131, 39083, 28320, 170479, 1211, 220224, 119055, 53414, 4, 199145, 220224, 57973, 3120, 219047, 6235, 101296, 40920, 27, 2451, 3120, 219047, 32, 23050, 2865, 16803, 205026, 1470, 75230, 4667, 19532, 54260, 1211, 2205, 6319, 68558, 32, 2451, 6, 101328, 4, 6, 101328, 4, 3120, 219047, 2200, 6150, 18133, 78278, 2882, 6235, 119718, 29766, 1211, 1470, 4269, 10705, 48253, 4, 874, 123844, 9221, 16803, 204403, 99176, 2702, 4, 46711, 54260, 1982, 16803, 120439, 64260, 4, 187483, 16803, 4838, 75386, 6, 109636, 68558, 2205, 45521, 50853, 4, 2200, 657, 54260, 168155, 68313, 220273, 4838, 41764, 40714, 16932, 564, 22151, 153796, 6093, 32, 56170, 3131, 39083, 28320 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 170479, 1211, 220224, 119055, 53414, 4, 1285, 6319, 39083, 171433, 15533, 26632, 29766, 1211, 4, 7265, 220224, 6093, 16175, 22426, 32572, 4, 7265, 220224, 6093, 1470, 128722, 12415, 850, 5, 6681, 119718, 120467, 57973, 220224, 219047, 25207, 48253, 46646, 54196, 32, 119055, 10705, 57973, 220224, 4838, 216333, 1211, 6, 109316, 96302, 4, 163139, 6319, 39083, 171433, 34533, 40697, 114955, 6681, 4151, 6319, 39083, 171433, 15533, 173149, 5, 26612, 32054, 54260, 192956, 2442, 137, 18279, 43178, 120467, 1285, 59929, 155, 37826, 40653, 8903, 3131, 203749, 1211, 10676, 63259, 13159, 5, 95766, 16175, 9221, 3120, 191795, 7972, 153222, 3056, 6235, 90536, 18406, 43649, 54260, 1211, 4838, 17824, 75230, 6093, 115556, 7265, 6, 23173, 75230, 16932, 72308, 506, 4, 364, 186955, 213952, 130170, 1211, 6, 29766, 46598, 1470, 6, 61541, 65482, 10339, 71804, 3131, 137, 1982, 64260, 2808, 155, 2200, 4838, 86070, 874, 75230, 1644, 7265, 6319, 54260, 2882, 34557, 34882, 4, 199145, 37826, 185040, 9356, 50853, 1470, 162726, 31212, 6235, 97634, 1211, 1470, 75230, 2702, 3131, 22426, 54260, 188301, 4838, 1751, 119718, 23173, 26394, 67882, 36419, 56170, 7746, 5, 2451, 9585, 43178, 120467, 1285, 46646, 4, 81444, 1211, 3373, 39083, 69596, 4, 37826, 41764, 45619, 6235, 35596, 59919, 2882, 5, 2451, 4074, 4, 12023, 4, 4074, 4, 37826, 4151, 7508, 75230, 16932, 9213, 57277, 7972, 114436, 163139, 35189, 6, 75322, 39083, 1470, 75230, 2702, 95064, 158853, 4944, 29060, 12, 137, 2648, 83957, 77014, 159696, 81444, 1211, 41764, 16870, 90848, 1157, 6, 88660, 16803, 152203, 25207, 155, 27, 41764, 45619, 37826, 6, 76526, 2865, 54260, 10813, 6235, 97634, 1211, 4, 37826, 6, 139449, 1285, 21422, 20260, 65482, 122133, 30750, 3944, 186145, 4, 132025, 8903, 2932, 120467, 1211, 22753, 86070, 7265, 7508, 75230, 28320, 6, 238144, 1211, 2200, 70845, 4151, 143409, 2882, 5, 35189, 6, 21106, 16932, 37826, 3069, 8903, 226112, 15388, 1285, 85658, 7265, 6, 238144, 1211, 3069, 1285, 3944, 22426, 1211, 4, 37826, 64044, 2865, 115536, 1285, 1470, 75230, 15388, 4, 2200, 7265, 84087, 3496, 15703, 6, 139449, 8248, 22426, 1211, 41764, 2808, 24621, 44779, 4, 6, 203326, 28726, 4944, 238144, 4852, 4, 2592, 69855, 111996, 6, 59094, 149364, 2702, 68558, 1982, 15533, 7369, 37826, 4151, 23847, 54260, 40920, 10676, 6428, 113889, 5, 7369, 37826, 1470, 159696, 4484, 190135, 1285, 564, 44779, 4, 19532, 75230, 2702, 139449, 10676, 564, 54260, 21338, 6319, 54260, 2882, 34557, 34882, 4, 132025, 8903, 16629, 2882, 7746, 1470, 9934, 142196, 142170, 1470, 75230, 33225, 7508, 75230, 28320, 8300, 17310, 4, 2200, 1470, 6, 225975, 6235, 97634, 1211, 3069, 41764, 45619, 12483, 12, 137, 26612, 29766, 2808, 81444, 1211, 41764, 16870, 90848, 6, 163177, 43178, 155622, 6, 71804, 163139, 4113, 25491, 155, 2200, 37826, 1470, 75230, 2702, 8903, 29659, 2442, 87442, 1285, 6, 61541, 65482, 98664, 3131, 73784, 132025, 25222, 46053, 5, 120202, 8903, 7201, 23173, 46545, 2882, 7746, 4, 37826, 7369, 1470, 75230, 111137, 506, 75230, 18406, 1285, 1470, 75230, 15388, 2200, 7746, 4838, 144532, 8903, 98055, 2882, 2205, 3131, 135118, 5, 7369, 37826, 4151, 104149, 163849, 1211, 2200, 3056, 220273, 32054, 54260, 44779, 6235, 119718, 29766, 1211, 5, 2451, 224220, 29771, 17190, 119055, 2808, 4, 874, 120467, 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 ]
[ 32, 115222, 78104, 63593, 204403, 38, 81414, 20260, 5332, 22426, 13159, 38, 292, 81444, 1211, 41764, 16870, 90848, 4, 35189, 71804, 23405, 133190, 4838, 134973, 710, 92605, 38, 4074, 4, 4074, 4, 12023, 38, 2200, 4151, 6, 21106, 16932, 235466, 7746, 7213, 28320, 5, 35189, 8300, 54260, 67873, 5332, 22426, 15533, 142429, 1211, 3120, 220224, 1211, 98478, 12, 6255, 7501, 12045, 4231, 29766, 6, 158291, 4, 6255, 187483, 51963, 2865, 54260, 23269, 6, 101328, 61621, 2205, 45521, 50853, 6255, 151614, 1982, 292, 6, 225975, 2882, 7369, 3069, 163849, 1211, 4, 6428, 54260, 1211, 137, 105780, 69859, 2808, 155, 22426, 2808, 22426, 2808, 6235, 44478, 13497, 6, 163177, 9416, 159696, 1211, 1285, 6, 218241, 46053, 4, 6, 34882, 53414, 7265, 1470, 54260, 1211, 17190, 24621, 3131, 23269, 147582, 21847, 5, 10069, 6, 93704, 160059, 34575, 215726, 37826, 20033, 72577, 6235, 8300, 39083, 2882, 4, 4074, 4, 4074, 12023, 38, 6255, 151614, 1982, 125523, 6428, 47351, 8903, 225975, 2882, 10676, 41764, 69596, 168155, 124724, 87442, 29766, 4, 6150, 3373, 26, 159696, 2882, 3120, 220224, 1211, 6319, 39083, 171433, 15533, 173149, 220273, 7511, 2882, 119718, 53414, 4, 1285, 183586, 23847, 84577, 1211, 6, 159696, 67873, 7243, 206994, 1211, 1285, 7369, 2442, 5, 4838, 19302, 54260, 21338, 4, 4838, 27855, 177243, 4, 2648, 120467, 6, 101328, 4, 95298, 1285, 6, 99176, 25491, 4944, 29771, 22444, 127731, 4, 1285, 1470, 68566, 50931, 29631, 4, 115222, 8947, 149364, 123844, 2808, 38, 15949, 4, 4074, 4, 4074, 38, 6, 71804, 40920, 4151, 6, 21106, 16932, 4269, 75230, 2200, 3373, 564, 137119, 2205, 41764, 12130, 564, 54260, 101080, 14081, 1211, 2200, 564, 54260, 41764, 45619, 1211, 1751, 203749, 2882, 19532, 75230, 6293, 230764, 4151, 29659, 93449, 3069, 119055, 53414, 5, 81444, 1211, 3373, 39083, 69596, 4, 27702, 46685, 20911, 95455, 220273, 219947, 4, 7369, 235466, 7746, 220224, 1211, 137, 119718, 17645, 25491, 155, 130170, 1211, 29766, 46598, 4, 33718, 7972, 29060, 22753, 3069, 73784, 364, 23173, 64213, 4, 163139, 4151, 6, 21106, 16932, 220224, 20315, 10676, 133933, 2754, 2200, 609, 46590, 8580, 4, 6, 225975, 2882, 12, 137, 506, 192900, 2808, 657, 25603, 113889, 155, 2200, 4269, 54260, 2882, 7746, 220224, 1211, 6, 159696, 2932, 5, 10069, 9424, 238144, 133519, 220224, 49008, 6150, 75230, 74806, 57277, 49008, 163139, 4151, 142196, 7972, 29060, 133454, 4269, 75230, 2050, 2442, 54260, 2648, 4, 95455, 564, 137119, 2205, 41764, 12130, 37826, 220224, 564, 54260, 20315, 7265, 6, 95494, 152848, 120202, 8903, 119718, 26612, 81829, 4, 36324, 220224, 4852, 54260, 49008, 6235, 119718, 29766, 1211, 6, 238144, 2702, 4, 163139, 30109, 54260, 2648, 27, 95766, 4151, 117902, 39293, 37826, 220224, 6, 75578, 57277, 6235, 226112, 33225, 5, 22753, 3056, 6, 23173, 54260, 5666, 130991, 4838, 22680, 54260, 192956, 4, 7265, 47833, 19532, 75230, 111137, 39340, 188201, 48277, 65482, 4, 1751, 54260, 1211, 3069, 8903, 172060, 35189, 2882, 4, 6, 226112, 2932, 213952, 2205, 364, 84577, 4838, 22753, 22849, 53414, 874, 174121, 32887, 22426, 109316, 4, 874, 93676, 3069, 220224, 1211, 10676, 6, 119859, 16803, 5, 2451, 55242, 133190, 4, 199145, 3056, 95455, 32, 199145, 3056, 74806, 12483, 56170, 4838, 3523, 54260, 2702, 32, 199145, 220224 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13497, 185758, 564, 54260, 20315, 6150, 75230, 24012, 35189, 3131, 203749, 1211, 4, 6150, 75230, 43449, 54260, 4667, 32, 292, 5332, 22426, 13159, 1470, 210346, 25207, 564, 123988, 4, 15864, 24621, 16175, 54260, 123073, 32, 2200, 22753, 41764, 71804, 56169, 1470, 75230, 2702, 2205, 4838, 6235, 238144, 1211, 5, 35189, 8300, 54260, 1644, 33104, 49008, 3120, 45521, 50853, 5, 1837, 2702, 26, 506, 64260, 6, 139449, 4838, 1751, 46545, 9424, 54260, 2882, 4, 78278, 220224, 57973, 95455, 6, 238144, 17160, 564, 23173, 100495, 20911, 5, 2702, 26, 68313, 220273, 219947, 4, 874, 54260, 1211, 16175, 54260, 123073, 4, 1751, 159696, 33716, 7746, 41764, 45619, 4, 20033, 57973, 159308, 6, 186955, 1211, 2702, 39083, 23173, 710, 4, 6, 75322, 39083, 125897, 6, 50647, 15050, 1470, 75230, 111137, 9719, 29659, 27, 2451, 20632, 4, 6, 94741, 63020, 18225, 3120, 7213, 72402, 448, 26, 2702, 7508, 54260, 2648, 36324, 75230, 6, 89930, 41731, 77188, 119055, 53414, 32, 6, 98055, 5666, 29766, 6, 68558, 163849, 4, 163139, 18133, 55242, 16803, 1470, 75230, 2702, 38, 6150, 75230, 20033, 4, 6150, 75230, 43449, 54260, 4667, 27, 2451, 6255, 7501, 43449, 54260, 4667, 4, 6, 75578, 57277, 32, 6, 57277, 39340, 2205, 88771, 1211, 43449, 54260, 4667, 32, 7369, 235466, 4838, 136108, 75230, 2702, 1470, 19302, 54260, 1211, 145813, 18640, 109316, 3120, 173102, 4852, 75230, 1644, 115222, 3131, 135118, 109316, 2200, 17806, 20911, 19532, 54260, 1211, 5, 2451, 6, 238144, 2702, 6255, 199145, 7508, 9221, 6, 94741, 40920, 7746, 1751, 159696, 82576, 4, 6255, 7501, 4838, 12890, 35044, 127461, 4, 26612, 4269, 48904, 26394, 6, 76776, 40920, 4269, 21106, 137377, 54196, 5, 2451, 1470, 182990, 44917, 47332, 4, 23050, 30750, 4667, 27, 119055, 10705, 506, 8580, 151614, 126934, 4269, 14081, 137377, 54196, 32, 1470, 3523, 54260, 34076, 7682, 4, 26612, 32, 119055, 6093, 3056, 22753, 4, 1285, 34076, 7682, 192956, 32, 6, 101328, 4, 90284, 35189, 4, 18133, 119055, 39083, 16803, 1751, 75230, 1211, 6235, 24621, 98833, 1470, 75230, 29111, 53414, 7265, 1285, 115825, 38249, 4, 7265, 6428, 54260, 23269, 6, 178107, 7511, 2882, 46646, 27, 8248, 4667, 124724, 1470, 75230, 2702, 1470, 874, 54260, 55546, 2200, 151614, 62560, 609, 15703, 2200, 41764, 29631, 5, 5, 2451, 172312, 57973, 1751, 159696, 82576, 32, 2200, 6, 73381, 171428, 1470, 27855, 177243, 7265, 1470, 6, 138194, 15096, 142170, 3069, 235210, 12483, 4, 163139, 41764, 45619, 32, 2451, 20632, 4, 2200, 7746, 2190, 14857, 71804, 710, 12483, 187055, 6, 109636, 68558, 230764, 129165, 2865, 20315, 6, 61541, 35189, 68313, 1751, 114436, 32, 2451, 6150, 75230, 206994, 6255, 160238, 2882, 564, 54260, 4151, 67882, 24621, 4, 564, 54260, 4151, 7038, 16932, 7369, 2648, 27, 26612, 121193, 21106, 3120, 4838, 564, 54260, 48253, 37826, 120202, 8903, 506, 15350, 40920, 56170, 4151, 16175, 9221, 4, 36324, 76961, 115374, 4, 199145, 220224, 49008, 6235, 159696, 1211, 2205, 1751, 135118, 4, 57973, 7746, 4838, 29434, 54260, 6235, 97634, 1211, 27, 4838, 119055, 29771, 15388, 8903, 3131, 22426, 84577, 3069, 427, 19302, 54260, 7511, 20260, 4113, 6, 94741, 25207, 41764, 98229, 22426, 2808, 45521, 38054, 44779, 37826, 7746, 120202, 190135, 84577, 39340, 15388, 1751, 135118, 5, 4151, 119055 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29771, 15388, 3056, 6235, 159696, 1211, 6, 195054, 142429, 1211, 7265, 67826, 75290, 7508, 75230, 18415, 6319, 87309, 2808, 153222, 364, 39083, 7611, 230764, 1470, 117902, 2442, 14856, 16932, 1285, 364, 75230, 4667, 5, 1470, 19302, 54260, 1211, 1751, 54260, 8903, 34709, 7265, 1470, 17806, 26394, 506, 41595, 109316, 57973, 7746, 564, 54260, 20315, 34076, 54260, 4667, 4, 163139, 6, 23173, 137377, 8903, 78683, 153222, 2882, 133454, 119055, 29771, 15388, 4, 2200, 220224, 49008, 564, 54260, 20315, 6, 23173, 54260, 1211, 2205, 1751, 135118, 5, 2451, 6, 153222, 4, 191795, 7972, 153222, 90848, 38, 22518, 54260, 2882, 1470, 75230, 2702, 95455, 564, 141356, 125897, 1751, 54260, 8903, 34709, 12, 137, 20315, 10069, 48350, 54745, 9934, 86733, 25491, 4, 9213, 21776, 34654, 12483, 54745, 66616, 43082, 20961, 2909, 1470, 75230, 2702, 8903, 25391, 710, 12483, 1285, 136645, 506, 4, 199145, 35189, 97483, 18415, 37826, 70845, 6235, 506, 54260, 46053, 157831, 4, 235466, 7369, 7746, 1470, 144532, 98055, 1211, 2205, 1751, 135118, 4, 73381, 13497, 9721, 54260, 2882, 220224, 23269, 7508, 75230, 18415, 4, 4151, 25391, 218241, 65482, 1470, 75230, 8903, 44779, 4, 564, 54260, 2882, 1470, 10184, 35044, 40653, 6, 110856, 35044, 4, 364, 75230, 47332, 230764, 3120, 4151, 7369, 2648, 1285, 137, 172060, 48253, 120467, 2004, 1751, 46545, 44779, 21422, 119859, 61621, 2200, 27702, 2485, 4852, 38054, 12890, 6, 21106, 149364, 2702, 68558, 506, 158291, 2205, 1285, 17190, 104238, 3120, 1285, 6, 89930, 21292, 65482, 364, 54260, 4852, 44779, 5, 162726, 34365, 448, 204982, 7369, 1470, 6319, 119718, 710, 48253, 23173, 75230, 2702, 7265, 4838, 172033, 12, 895, 3373, 76632, 29766, 4, 895, 3373, 76632, 29766, 38, 2200, 16175, 48904, 56169, 3069, 3069, 163849, 1211, 4, 98055, 2882, 70845, 72577, 6, 68558, 4, 15857, 4, 15857, 38, 895, 3373, 76632, 29766, 2200, 657, 75230, 23741, 6, 23173, 75230, 2702, 2205, 29434, 75230, 46053, 6319, 119718, 710, 48253, 188301, 12, 2451, 6, 57277, 57277, 38, 8947, 96256, 895, 3373, 76632, 29766, 38, 8947, 57277, 895, 3373, 76632, 29766, 38, 35189, 10339, 64260, 6093, 4, 4838, 56170, 119718, 92605, 2702, 114436, 120202, 8903, 121865, 114436, 4269, 10705, 48253, 7265, 4838, 1751, 119718, 23173, 89930, 56170, 212484, 16932, 191795, 38054, 4, 199145, 37826, 7746, 6235, 22426, 29766, 29060, 564, 54260, 1285, 45521, 38054, 4, 37826, 192184, 220273, 219947, 221387, 4, 199145, 4151, 19302, 54260, 59461, 22518, 54260, 2882, 5, 133190, 119055, 12483, 95455, 1751, 54260, 8903, 34709, 37826, 70845, 4838, 3069, 22426, 6235, 97634, 1211, 564, 54260, 1285, 120202, 8903, 3131, 54260, 1644, 18415, 63333, 13929, 12, 6, 57277, 57277, 4, 8947, 57277, 13845, 3373, 76632, 29766, 137, 14081, 28714, 564, 25603, 22492, 155, 38, 37826, 4151, 1751, 119718, 23173, 89930, 7746, 4838, 3496, 71577, 6235, 97634, 1211, 12, 2451, 1470, 81444, 152848, 4, 1470, 81444, 152848, 4, 126230, 7972, 97634, 32, 2451, 6150, 83957, 4, 6150, 83957, 38, 6, 238144, 4852, 2882, 4151, 19302, 54260, 59461, 159308, 17288, 177282, 4, 36324, 95494, 6, 12483, 895, 23269, 2932, 120467, 101328, 4, 112216, 22426, 26612, 38, 35189, 1751, 119718, 20961, 89930, 37826, 1470, 159696, 4484, 8903, 119718, 29766, 33225, 95455, 9424, 54260, 17017, 3120, 364, 62067 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2200, 7265, 14004, 2865, 109636, 2882, 6, 23173, 54260, 1211, 2205, 1751, 135118, 4, 3056, 3069, 34076, 54260, 4667, 3069, 163849, 1211, 1470, 75230, 2702, 29659, 2442, 37016, 213952, 70845, 1982, 54260, 20315, 364, 35596, 12, 2451, 1470, 4, 7544, 3373, 14081, 119718, 69859, 29766, 38, 7544, 115222, 133814, 29771, 3373, 14081, 119718, 69859, 29766, 38, 33960, 1982, 5332, 22426, 13159, 81414, 20260, 12483, 38, 2648, 68558, 41764, 16870, 90848, 4, 4151, 143409, 5332, 22426, 13159, 73784, 6, 147502, 38, 199145, 81414, 20260, 126934, 3373, 76632, 29766, 32, 6, 119132, 81414, 20260, 4113, 22426, 13159, 292, 564, 29060, 7369, 7746, 564, 54260, 163849, 1211, 4, 2200, 7369, 235466, 4151, 8300, 54260, 67873, 6681, 1211, 71107, 4, 199145, 101080, 14081, 37826, 56170, 70845, 6235, 97634, 1211, 12, 11265, 6, 238144, 16803, 81444, 4667, 292, 6, 225975, 2882, 7369, 4, 292, 163139, 219047, 4484, 177148, 6, 68558, 1751, 159696, 2442, 95455, 19532, 75230, 34575, 29771, 15388, 95455, 364, 39083, 7611, 3120, 119055, 14081, 2648, 4, 2200, 163139, 21066, 119055, 29771, 12984, 62808, 620, 4113, 22426, 1211, 7746, 7265, 10676, 4, 78278, 20033, 6, 104378, 3069, 1470, 4112, 18340, 4, 40611, 120202, 13342, 1644, 54260, 56880, 1285, 2839, 2525, 41764, 48350, 13159, 5, 20632, 4, 620, 4113, 22426, 6255, 7746, 1751, 75230, 1211, 83066, 119055, 29771, 12984, 7265, 10676, 119055, 29771, 15388, 364, 39083, 7611, 92500, 81444, 7243, 6, 238144, 2882, 4838, 117902, 2442, 17190, 26217, 46646, 3120, 6, 105235, 21338, 4, 204982, 20033, 1285, 15864, 25207, 9934, 36326, 26217, 2808, 1470, 29434, 54260, 2205, 4838, 220224, 2882, 2200, 165284, 22426, 2882, 20033, 6, 23173, 54260, 1211, 10676, 119055, 29771, 15388, 2205, 4838, 28415, 2808, 23269, 92500, 7369, 22753, 185226, 1470, 54260, 1211, 2205, 6, 235210, 2648, 40653, 1285, 19302, 21660, 44779, 4, 2200, 3496, 64260, 3131, 6, 119132, 2200, 58679, 22426, 9221, 27, 37271, 10069, 120467, 874, 101328, 155, 38, 199145, 6, 105515, 18225, 32, 20632, 4, 160238, 2882, 6, 68558, 6, 64260, 4151, 6, 78683, 119718, 165592, 86733, 29771, 92500, 45223, 23741, 20033, 6, 23173, 137377, 226112, 15388, 24857, 4269, 48904, 26394, 122133, 7611, 4, 620, 4113, 22426, 2882, 20033, 6, 23173, 75230, 2702, 10676, 64044, 23847, 22151, 23269, 28320, 119055, 29771, 15388, 4, 1157, 2648, 2882, 70845, 98252, 6, 68558, 4, 187483, 120202, 23050, 18406, 20033, 1470, 64890, 57619, 1211, 35189, 8300, 54260, 1644, 109226, 3120, 45521, 50853, 2489, 97634, 2932, 4, 6, 51172, 22426, 2882, 7746, 19532, 75230, 6293, 1470, 75230, 33225, 45521, 38054, 4, 4269, 14081, 137377, 54196, 1470, 159696, 4484, 2200, 44064, 1470, 17824, 182879, 46646, 4, 7746, 7243, 6235, 212484, 2882, 9934, 171433, 1211, 5, 115222, 9585, 12483, 151614, 120853, 4113, 38, 115222, 564, 25603, 22492, 5950, 28714, 38, 22426, 45619, 37826, 1470, 75230, 2702, 8903, 29659, 2442, 87442, 564, 54260, 20315, 364, 35596, 4, 37826, 4838, 144532, 8903, 4944, 71577, 2882, 163849, 1211, 12, 4113, 4, 18133, 22639, 21847, 4, 18133, 27702, 17494, 2865, 16803, 81444, 4667, 220273, 220224, 6093, 4838, 16175, 54260, 53414, 6, 113889, 51723, 2205, 4151, 6, 118809, 4, 4151, 7544, 66317, 155787, 1644, 4151, 17824, 127684, 4, 9934, 29771, 13497, 81444, 4667, 2190 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 107182, 14088, 4, 36324, 18133, 78278, 2882, 220273, 2808, 6, 164131, 4, 9424, 238144, 7544, 66317, 21374, 151614, 126934, 70845, 6681, 3131, 145702, 5, 4484, 54260, 59461, 37826, 7243, 6235, 104149, 163139, 4151, 155787, 1644, 3120, 4151, 137, 46685, 46985, 2648, 29766, 24244, 29771, 155, 506, 64260, 7746, 6, 23173, 54260, 23405, 6093, 905, 20911, 2205, 1751, 135118, 4, 3056, 74806, 57277, 49008, 1285, 4269, 48904, 26394, 9424, 54260, 2882, 7265, 2808, 75230, 15388, 99509, 7265, 46711, 53414, 2200, 7746, 3069, 8903, 506, 77188, 3069, 10676, 63259, 13159, 292, 2200, 6255, 292, 15529, 23741, 7746, 6, 68558, 4151, 155787, 292, 151614, 1982, 1470, 75230, 4667, 5332, 22426, 13159, 3069, 6, 225975, 1211, 12, 185758, 6, 238144, 16803, 81444, 4667, 874, 54260, 1211, 48494, 2702, 15533, 83957, 6, 59919, 55546, 4, 874, 54260, 1211, 145813, 54260, 168155, 3056, 20033, 6, 172060, 185226, 10705, 2050, 27016, 58058, 162726, 34365, 448, 1470, 159696, 4484, 8903, 7201, 21106, 1211, 4, 22753, 7611, 6255, 3120, 54745, 2865, 39083, 16803, 6, 68558, 4, 6, 68558, 3373, 42695, 506, 4, 7243, 29771, 7265, 199145, 19532, 75230, 2702, 13342, 7201, 29766, 1211, 27, 19302, 2808, 22426, 2882, 7369, 20033, 6, 68558, 364, 54260, 13497, 2205, 45521, 57619, 16932, 1644, 12, 6, 64260, 37826, 11265, 1470, 45521, 38054, 4, 25093, 220224, 5666, 119718, 1644, 4, 11265, 6319, 35596, 70845, 145813, 226976, 38, 75578, 96256, 3056, 6, 61397, 54196, 6235, 119718, 29766, 1211, 78278, 46711, 53414, 4, 37826, 4838, 144532, 139449, 163849, 1211, 12, 2865, 54260, 1211, 16175, 54260, 6093, 6093, 90284, 35189, 38, 36324, 874, 26, 225975, 2882, 5950, 28714, 564, 25603, 22492, 27, 35189, 37826, 7746, 4838, 29434, 54260, 1470, 75230, 2702, 8903, 97634, 1211, 6, 23173, 137377, 61397, 905, 20911, 1285, 16175, 95494, 108020, 2932, 2808, 11265, 75578, 1285, 1470, 75230, 15388, 5, 3056, 6, 23173, 75230, 2702, 2205, 29434, 75230, 46053, 4, 4838, 23173, 75230, 111137, 3131, 80453, 109226, 1470, 75230, 33225, 73095, 112593, 22492, 92500, 7746, 56170, 3111, 51723, 34076, 54260, 4667, 3069, 45521, 7972, 109636, 3373, 84577, 3131, 13159, 5, 4852, 54260, 5666, 119718, 1644, 37826, 70845, 6, 113889, 4944, 8903, 3131, 218241, 21295, 159308, 6319, 137377, 12, 2451, 6319, 39083, 171433, 34533, 40697, 114955, 4, 1470, 54260, 2648, 109316, 3523, 121495, 199145, 95455, 45521, 50853, 204982, 23173, 75230, 2702, 38, 1819, 4852, 38054, 12890, 6, 33809, 1644, 149364, 2702, 68558, 35189, 6, 32572, 15388, 29659, 15350, 2200, 7369, 32792, 4, 4838, 80839, 24621, 3523, 83586, 4, 64699, 4838, 6, 164131, 4, 37826, 6319, 54260, 1211, 874, 39083, 219947, 6235, 98055, 2882, 230764, 6319, 54260, 1211, 10954, 40232, 4, 6235, 506, 15907, 6235, 159696, 1211, 3120, 6, 106672, 158197, 4, 37826, 6319, 54260, 119132, 7243, 564, 21106, 54260, 10069, 20911, 4, 6319, 54260, 119132, 7243, 564, 23173, 16870, 2882, 4, 37826, 230764, 6319, 54260, 1211, 6, 59094, 124740, 7243, 8903, 35596, 59919, 2882, 4, 37826, 7243, 6235, 8903, 46053, 6319, 54260, 1211, 15864, 10813, 850, 173713, 850, 4, 7243, 33718, 46598, 6235, 159696, 1211, 4484, 54260, 1211, 1470, 13458, 44855, 9560, 710, 4, 6319, 54260, 1211, 69529, 165435, 506, 1470, 75230, 101608, 119055, 46646, 6093, 7243 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6235, 110129, 20260, 12483, 5, 26612, 9934, 38249, 6235, 159696, 1211, 4, 2200, 4838, 146594, 67873, 4, 6, 21106, 7611, 230764, 7746, 40653, 23269, 226112, 49209, 10954, 2865, 38461, 4, 2932, 8903, 4944, 26612, 71577, 22426, 2882, 6, 75322, 39083, 1470, 19302, 71577, 4, 3056, 6, 23173, 137377, 22426, 8903, 15908, 1644, 109226, 564, 22663, 44376, 4, 7243, 6658, 189623, 2050, 6235, 159696, 1211, 9174, 55687, 230764, 4151, 90296, 29400, 27, 168892, 151614, 1982, 70845, 241997, 3120, 10184, 28726, 6, 101328, 61621, 5, 151614, 1982, 6235, 119718, 10705, 16803, 220224, 23269, 6, 206126, 92500, 70845, 21776, 150349, 87442, 54196, 4, 2200, 23165, 6, 57277, 39340, 143064, 6235, 506, 40096, 4, 7243, 1470, 54260, 1211, 45949, 26, 36326, 23173, 1982, 29060, 7265, 70845, 4838, 27909, 4944, 8903, 101296, 40920, 5, 710, 65482, 119055, 29771, 4667, 117641, 2882, 230764, 20033, 4151, 105687, 1644, 4, 3069, 15864, 18406, 1470, 6, 29631, 40653, 4151, 88660, 1644, 171433, 17645, 3069, 6, 235210, 1644, 12483, 55242, 4484, 6, 238144, 7611, 3120, 1285, 6319, 39083, 171433, 34533, 1211, 56170, 1211, 6, 76776, 10918, 232187, 1644, 7201, 29771, 16747, 5, 35189, 6, 159696, 2932, 3056, 220224, 6093, 4838, 1751, 159696, 2442, 6093, 4, 1285, 10184, 28726, 21776, 2932, 16667, 57973, 6235, 101296, 40920, 194763, 50931, 46244, 163388, 137, 27720, 13497, 182759, 2702, 155, 2200, 86510, 4113, 8248, 2865, 22426, 1211, 17824, 88680, 163139, 2205, 6, 165169, 28726, 73136, 32206, 9424, 54260, 28320, 27, 2865, 26, 141353, 6293, 7746, 6, 101470, 73784, 5950, 28320, 6, 210674, 6255, 205026, 4, 4269, 54260, 3069, 70845, 292, 35289, 137, 28714, 22492, 156696, 2808, 155, 6, 225975, 6255, 4, 3373, 26, 68313, 141211, 9616, 38, 3069, 4151, 206994, 6, 21106, 16932, 38, 35189, 24377, 60643, 4, 163139, 220224, 1211, 99531, 3056, 1751, 238144, 98833, 4, 6255, 6, 98055, 70845, 6, 68558, 5, 27702, 236376, 24390, 204982, 7369, 4838, 1751, 218241, 1644, 159308, 6319, 137377, 5, 95455, 364, 54260, 16803, 292, 212809, 38, 35189, 4231, 17310, 6093, 6, 44478, 6093, 3120, 11211, 93509, 3056, 212809, 7265, 13342, 7201, 29766, 1211, 4838, 75386, 73095, 25616, 29060, 23173, 5, 35189, 8300, 54260, 1644, 109226, 3120, 45521, 50853, 953, 10069, 132845, 39340, 119055, 77188, 74806, 22426, 62067, 4, 19532, 75230, 111137, 1644, 54260, 98833, 1470, 6, 109636, 21733, 6, 172060, 126968, 2702, 3120, 6, 97925, 16580, 18630, 4, 40611, 3069, 9424, 29060, 54260, 67873, 9424, 119718, 65689, 1285, 6319, 39083, 171433, 34533, 1211, 4, 1470, 6, 109636, 21733, 46601, 48253, 4, 1470, 564, 116367, 64044, 1470, 6, 180829, 2200, 6, 75230, 36419, 905, 5, 20033, 160238, 1211, 5, 29659, 15350, 6, 68558, 1285, 28317, 448, 6, 212484, 1211, 20033, 7746, 6, 23173, 54260, 1211, 9424, 119718, 65689, 1285, 56170, 46545, 4113, 6, 71804, 49008, 4, 238144, 7611, 4, 6, 88660, 61621, 2200, 3944, 68558, 5, 20033, 1751, 238144, 15388, 5, 4151, 4269, 17410, 69106, 4, 4151, 22753, 101608, 215594, 123329, 6, 23173, 79100, 2882, 199145, 6, 226112, 98833, 7746, 133454, 6, 150271, 133671, 9721, 75230, 2882, 4, 56170, 23269, 63532, 76961, 33414, 20560, 4, 18133, 98055, 16803, 4, 55242, 16803, 4, 84087, 16803, 1470, 66112, 3111, 2932, 199145, 163139 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1644, 16803, 70845, 7243, 40653, 54260, 46053, 7265, 4484, 54260, 1211, 119055, 99766, 5, 2808, 43449, 54260, 4667, 2442, 75230, 2882, 192956, 6, 119312, 37826, 7746, 4838, 83066, 6235, 55049, 2882, 3120, 130170, 4838, 6, 90848, 39293, 159696, 54745, 39340, 4, 37826, 7746, 9174, 23269, 119718, 2442, 7682, 9424, 79238, 2865, 54260, 10813, 2882, 3069, 1285, 9721, 54260, 18415, 132025, 195054, 142429, 65482, 6, 61541, 35189, 4, 4838, 657, 54260, 40920, 657, 157245, 163139, 13497, 109316, 37826, 4838, 27909, 4944, 8903, 159696, 47332, 4, 37826, 160751, 75230, 15388, 1285, 115222, 22426, 44779, 3947, 76179, 506, 1470, 39340, 15388, 4151, 4231, 17310, 710, 48253, 75290, 6, 119312, 4, 2200, 4838, 1470, 54260, 20315, 44478, 9934, 60732, 4, 4838, 165284, 24621, 6, 179482, 4, 4838, 3523, 175614, 199145, 1285, 65146, 7682, 37826, 125523, 6319, 54260, 1211, 6, 113889, 28320, 3069, 11265, 7243, 6235, 17268, 49008, 37826, 7746, 6235, 226112, 15388, 40653, 1211, 4269, 48904, 64213, 4231, 81050, 5, 2451, 215594, 133190, 1470, 16175, 54260, 4667, 38, 1470, 4269, 39083, 2648, 114436, 16175, 54260, 4667, 38, 292, 22518, 54260, 2882, 162726, 34365, 448, 1470, 75230, 2702, 35189, 6, 44478, 6093, 5, 2451, 119055, 10705, 151614, 126934, 4838, 16175, 54260, 4667, 874, 79907, 2932, 114436, 32, 3373, 26, 506, 64260, 7746, 124724, 6235, 30946, 177148, 32, 2451, 112216, 71804, 13458, 2808, 5, 4838, 16175, 54260, 4667, 38, 17806, 20911, 4838, 506, 8580, 4, 2200, 6, 64260, 22444, 38249, 7746, 230764, 70845, 3131, 131539, 38, 1470, 54260, 23269, 4, 9424, 238144, 4, 29434, 54260, 4, 215594, 133190, 163139, 220224, 29434, 54260, 12483, 7265, 1285, 186046, 24244, 12483, 84475, 21066, 710, 21847, 4, 11265, 364, 77188, 7243, 10676, 9934, 60732, 220224, 53414, 32, 11265, 215594, 7243, 4, 6, 105515, 6, 68558, 1285, 13458, 159993, 38, 112216, 71804, 1982, 48775, 38, 2451, 22639, 21847, 199145, 18133, 564, 34533, 38, 207737, 4, 6, 44478, 6093, 38, 3373, 26, 68313, 137, 17410, 18133, 27137, 14514, 6, 63188, 155, 2702, 26, 68313, 7243, 6319, 54260, 1211, 16175, 54260, 4667, 2200, 7243, 6319, 54260, 1211, 7213, 33225, 4, 3373, 26, 68313, 41764, 134193, 56170, 46545, 6093, 3944, 68558, 5, 92500, 1285, 167048, 21106, 1211, 3120, 4151, 6, 119312, 57973, 70845, 120202, 8903, 7201, 23173, 47332, 2205, 4269, 39083, 2648, 4, 2200, 1285, 7213, 33225, 4852, 54260, 49008, 6235, 119718, 21292, 9915, 54260, 2648, 67882, 16629, 49008, 5, 160238, 3069, 3523, 216510, 6, 159696, 67873, 20033, 6, 104149, 5, 92500, 20033, 57973, 6235, 104149, 107189, 101328, 49008, 156104, 20260, 4113, 9721, 75230, 23269, 6, 105235, 39340, 44779, 132025, 8903, 22426, 125897, 159696, 2882, 7265, 6319, 54260, 28726, 133324, 125897, 115222, 22426, 44779, 4269, 39083, 2648, 4, 119055, 53414, 56170, 31249, 109226, 3120, 29434, 54260, 17824, 75230, 36419, 874, 171433, 82576, 2050, 7265, 9721, 54260, 18415, 101251, 195054, 73136, 149364, 18415, 147582, 21847, 199145, 564, 75230, 15388, 1285, 4269, 39083, 2648, 39340, 22426, 44779, 3069, 7746, 4, 129165, 46053, 220224, 7265, 1470, 22518, 37016, 28726, 12984, 1470, 109636, 15231, 2882, 5, 84087, 1211, 6, 68558, 220224, 123073, 1549, 4852, 38054, 12890, 6, 21106, 149364, 2702, 68558, 1982, 54260, 104238, 2200, 145813, 54260, 12483, 220224, 27702 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 50853, 1470, 75230, 2702, 98252, 74, 95455, 4269, 48904, 26394, 45521, 50853, 119055, 77188, 27702, 38054, 87442, 7265, 364, 75230, 183063, 17806, 22426, 13159, 6, 113889, 119425, 5, 2451, 120749, 7682, 4, 112216, 71804, 1982, 48775, 38, 119055, 77188, 6, 35596, 10918, 20911, 4151, 6, 44478, 6093, 5, 3373, 26, 68313, 3944, 68558, 5, 92500, 2205, 4151, 220224, 2882, 4, 3056, 6, 238144, 7611, 4, 215594, 133190, 38, 67882, 16629, 49008, 199145, 145813, 54260, 12483, 7265, 99509, 48350, 37016, 6, 238144, 7611, 5, 4269, 64260, 2702, 9721, 14325, 38, 9721, 75230, 2882, 2200, 4269, 39083, 2648, 5, 3373, 26, 16629, 2882, 7265, 18895, 5594, 7265, 6, 232588, 69355, 46601, 5666, 2200, 16175, 39083, 5, 115222, 34654, 88660, 38, 115222, 3944, 16747, 29771, 38, 20315, 2050, 24377, 60643, 22639, 448, 3056, 1470, 75230, 4667, 6235, 61541, 1211, 6235, 119718, 29766, 1211, 4, 7369, 37826, 5332, 22426, 13159, 3069, 8903, 53521, 29060, 159308, 364, 21106, 2648, 4852, 4, 2200, 32054, 54260, 44779, 74806, 218241, 21295, 159308, 6319, 137377, 5, 22426, 12666, 51220, 37826, 7746, 6, 238144, 2882, 4, 6, 238144, 2882, 148620, 151614, 162642, 29771, 13497, 4838, 7508, 75230, 2882, 10339, 54260, 6093, 123329, 17494, 61541, 27702, 119718, 15533, 1211, 4, 2200, 27702, 50853, 125523, 1470, 54260, 59461, 4, 2200, 125523, 1470, 54260, 59461, 4, 56170, 1211, 1470, 75230, 2932, 37826, 4852, 18167, 6, 84577, 22426, 1644, 87442, 17824, 75230, 51437, 23173, 46545, 1751, 54260, 23269, 6, 87311, 35189, 23269, 17879, 12130, 7265, 7508, 75230, 2882, 6235, 7201, 23173, 1982, 18415, 54745, 104238, 5, 2451, 55242, 133190, 4, 292, 6, 225975, 6255, 73784, 6, 44478, 6093, 292, 163139, 6, 104378, 1285, 1751, 54260, 23269, 8947, 96256, 112690, 13159, 72649, 6093, 32, 220224, 49008, 20033, 54745, 1211, 7243, 23050, 18406, 173102, 22426, 3120, 163849, 4269, 165592, 32, 35189, 6, 44478, 6093, 37826, 1470, 657, 54260, 40920, 1211, 22753, 7201, 7611, 6235, 97634, 1211, 12, 2451, 6235, 159696, 1211, 163849, 2702, 6, 111506, 4, 364, 54260, 13497, 1470, 54260, 4852, 8947, 1285, 7508, 54260, 107581, 8947, 96256, 130929, 21087, 9719, 35596, 29771, 3120, 81444, 1211, 4838, 95564, 54260, 23269, 4, 2200, 4231, 114436, 1751, 54260, 59461, 364, 75230, 6293, 7265, 1285, 112216, 1644, 51723, 564, 75230, 46685, 2648, 99766, 19532, 88680, 4, 3056, 1285, 6, 119273, 48904, 42180, 3120, 81444, 1211, 32899, 13497, 48904, 2808, 4, 199145, 37826, 120202, 8903, 4484, 75230, 23741, 1285, 7369, 2648, 564, 54260, 6, 101328, 35044, 33960, 28317, 4, 199145, 202446, 182261, 1470, 19302, 54260, 21338, 564, 54260, 2050, 620, 23829, 4667, 27, 3131, 54260, 23269, 8947, 96256, 130929, 21087, 9719, 35596, 120467, 57973, 220224, 1470, 159696, 4484, 190135, 1285, 37189, 54260, 2050, 4, 20033, 1211, 113889, 4667, 7746, 620, 4113, 22426, 1211, 40653, 4838, 97816, 9424, 54260, 2882, 78278, 20033, 1211, 132025, 104378, 3069, 4838, 77775, 33716, 3131, 92605, 25207, 27, 56170, 188301, 2882, 7508, 6093, 6, 44478, 6093, 2200, 19302, 63593, 2882, 3069, 235210, 12483, 7265, 1285, 9424, 54260, 1211, 5, 10069, 4269, 48904, 26394, 40026, 6093, 2648, 125897, 172033, 3056, 6, 23173, 75230, 2702, 8903, 21066, 75230, 15388, 3120, 364, 23173, 7611, 5, 6, 113889, 55546, 12483, 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, 18406, 132025, 8903, 506, 75230, 18406, 1470, 144532, 84316, 12984, 2205, 657, 54260, 1982, 27, 14004, 57277, 7972, 114436, 4, 4269, 54595, 36326, 2932, 120467, 4151, 29771, 75578, 1211, 169550, 77775, 4, 7265, 1751, 238144, 96743, 75230, 2702, 23269, 238144, 46545, 2882, 6, 212394, 38, 2200, 119055, 6093, 37826, 1285, 1751, 69127, 32, 26612, 22753, 7201, 7611, 4, 4838, 86510, 6093, 37826, 7746, 20033, 6, 23173, 75230, 2702, 8903, 121865, 1211, 2200, 1285, 3944, 22426, 1211, 57973, 69355, 7746, 6, 21106, 54260, 1211, 4838, 6, 225975, 6235, 97634, 1211, 12, 2451, 6, 42695, 18406, 38, 6, 42695, 18406, 38, 35189, 6, 44478, 6093, 37826, 7746, 6, 59461, 159696, 179625, 4838, 364, 75230, 1982, 6235, 97634, 1211, 3120, 22753, 7611, 4, 2200, 7746, 35189, 8300, 54260, 1644, 109226, 3120, 45521, 50853, 3117, 144754, 215031, 107020, 109636, 2882, 4838, 55242, 7611, 6235, 97634, 1211, 98252, 4, 36324, 1285, 132845, 39340, 37826, 36324, 3131, 4838, 121193, 92605, 8903, 97634, 1211, 5, 35189, 5950, 16932, 137, 28714, 22492, 118222, 2808, 155, 37826, 133190, 1470, 67826, 67873, 30109, 4113, 4944, 7611, 19532, 75230, 2702, 8903, 212484, 1211, 69355, 9721, 71616, 2200, 37826, 1470, 364, 75230, 1982, 6235, 97634, 1211, 7265, 1285, 220224, 28320, 2200, 163139, 220224, 1211, 99531, 12, 6, 76526, 218241, 1644, 6235, 97634, 1211, 159308, 6319, 137377, 5, 203387, 220224, 49008, 20033, 2205, 41764, 54260, 5666, 192956, 62400, 850, 6681, 46464, 20260, 12483, 6235, 119718, 29766, 1211, 5, 2200, 3131, 238144, 2932, 213952, 7746, 74806, 28726, 22426, 2882, 10676, 6, 159696, 2932, 5, 10069, 6, 119312, 37826, 7746, 11265, 2702, 6235, 97634, 1211, 4, 199145, 4838, 238419, 5950, 7611, 17288, 104238, 6235, 4484, 90848, 12984, 4, 92500, 7746, 3120, 7746, 6, 21106, 54260, 1211, 2205, 9721, 183512, 10339, 54260, 6093, 160751, 142429, 1211, 2200, 3056, 4, 163139, 132025, 8903, 97594, 16932, 2808, 54260, 56880, 219047, 6235, 7201, 21106, 1211, 230764, 1285, 115222, 22426, 5, 168892, 6, 238144, 2702, 7243, 3069, 7501, 6255, 3120, 364, 45631, 1470, 54260, 23405, 16870, 25207, 17017, 2882, 3069, 199145, 4, 162726, 34365, 448, 506, 64260, 4838, 52059, 2205, 1285, 1470, 75230, 53414, 120202, 8903, 21733, 109226, 12, 2451, 17806, 14004, 2648, 69859, 29771, 38, 169550, 132845, 39340, 37826, 7746, 1470, 564, 75230, 2932, 6235, 97634, 1211, 230764, 1470, 220224, 2882, 5, 64260, 4, 6, 64260, 117641, 1211, 20033, 19532, 75230, 2702, 2200, 1470, 151614, 21847, 7265, 6, 59094, 124740, 448, 37826, 7746, 74806, 64260, 1211, 230764, 10705, 16747, 4852, 123073, 115222, 22426, 12, 46985, 45629, 2865, 25491, 38, 207737, 448, 38, 36324, 75230, 364, 186955, 18225, 8947, 119055, 2808, 126968, 2702, 2205, 364, 84577, 32, 137859, 20033, 1285, 145813, 31623, 13159, 7243, 1470, 75230, 2702, 8903, 1982, 90848, 12984, 3120, 119055, 29771, 15388, 27, 20033, 57973, 4151, 104149, 163139, 20033, 220224, 49008, 6, 23173, 54260, 23405, 73381, 29766, 1211, 2205, 4838, 1751, 119718, 53414, 170513, 119055, 29771, 15388, 4, 199145, 3056, 132025, 195054, 142429, 1211, 7265, 55242, 4484, 5, 2451, 44458, 48253, 69127, 93449, 4, 25093, 6, 194734, 238044, 4, 20033, 57973, 1470, 54260, 4667, 7243, 46601, 46685, 20911, 27, 2451, 119055, 10705, 506, 8580, 620, 4113, 22426, 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 ]
[ 11265, 7746, 2205, 172590, 364, 45631, 32, 1470, 119718, 2648, 14004, 6319, 54574, 38, 1470, 54260, 4, 1470, 54260, 38, 29766, 4113, 46685, 874, 182759, 118222, 2808, 38, 1470, 1751, 54260, 1211, 12023, 35044, 6, 101328, 61621, 620, 4113, 22426, 2882, 7369, 7746, 7265, 6319, 54574, 27, 117902, 1982, 25207, 6, 21106, 16932, 38, 20315, 2050, 6, 44478, 6093, 37826, 7746, 6235, 21847, 71616, 4838, 12890, 35044, 145813, 59929, 2200, 7369, 6, 105235, 21295, 6, 68558, 6, 208048, 14004, 159696, 564, 21106, 54260, 10069, 146873, 874, 71512, 5, 2451, 199145, 119055, 23173, 23741, 11265, 1470, 75230, 2702, 6319, 54574, 5, 2200, 56170, 119718, 120467, 37826, 11265, 28415, 6, 31177, 83811, 2808, 75230, 33225, 6, 186955, 1211, 163139, 230764, 219047, 32, 2451, 44917, 4, 6, 64260, 151614, 126934, 124724, 38, 1470, 19302, 29771, 7611, 6, 47063, 23829, 6235, 22680, 4113, 98833, 4, 6255, 7508, 54260, 2648, 54745, 1211, 2808, 75230, 6293, 6319, 54574, 4, 6, 78683, 48974, 151614, 1982, 6255, 4151, 1982, 54260, 2205, 4151, 15622, 105405, 6235, 23173, 1982, 29060, 32, 18133, 78278, 2882, 125523, 4015, 4852, 38054, 12890, 6, 21106, 149364, 2702, 68558, 68558, 63333, 13929, 6235, 22492, 183216, 119055, 12483, 6255, 7501, 7265, 3373, 76632, 29766, 5950, 149364, 2702, 68558, 101251, 8903, 7201, 29766, 1211, 64044, 6319, 54574, 5, 15857, 6093, 97634, 3373, 76632, 29766, 32, 292, 119055, 141943, 46598, 7369, 7746, 3069, 20033, 5, 2451, 15857, 4, 15857, 38, 5332, 22426, 13159, 6235, 20315, 185226, 7746, 4, 133190, 7243, 2205, 64890, 57619, 1211, 27, 2451, 7243, 2205, 64890, 57619, 1211, 32, 44917, 119055, 29060, 6, 194734, 657, 54260, 168155, 31807, 5332, 138763, 4151, 2865, 226976, 5, 2932, 3131, 92983, 4, 7369, 37826, 1470, 72577, 1211, 6319, 137377, 6, 194734, 657, 54260, 168155, 7243, 2190, 112304, 34533, 3056, 7369, 7265, 159696, 1644, 119718, 1644, 9174, 13497, 3131, 13159, 1285, 10213, 80885, 48011, 2808, 23174, 44779, 2205, 6, 105235, 21338, 6235, 159696, 1211, 4, 7369, 364, 54260, 16803, 506, 54260, 13497, 35289, 119055, 13845, 159696, 28726, 4151, 25093, 3120, 6, 105235, 21338, 2200, 6255, 31807, 5332, 138763, 3120, 188511, 31623, 101328, 4, 95298, 27, 35189, 8300, 54260, 21295, 4, 4151, 8300, 54260, 21295, 4, 564, 29060, 7746, 4151, 6, 44478, 6093, 2200, 9934, 219425, 29060, 7265, 6, 148222, 75230, 15388, 5, 4151, 8300, 54260, 21295, 7508, 26, 6, 194734, 657, 54260, 168155, 38, 5, 35189, 8300, 54260, 21295, 4, 4151, 8300, 54260, 21295, 4, 46050, 63532, 70845, 6, 194734, 657, 54260, 168155, 40653, 1285, 7508, 54260, 4667, 5, 2451, 657, 29771, 62808, 3069, 6093, 29659, 1470, 75230, 150349, 1644, 171433, 16932, 1211, 1285, 132845, 39340, 35289, 28726, 874, 54260, 59461, 4, 6, 64260, 54595, 75230, 12, 657, 54260, 2932, 47833, 6, 162785, 1644, 27, 41764, 29631, 27, 6681, 46545, 5, 14004, 56169, 657, 29771, 62808, 7746, 55242, 64213, 148620, 1751, 64260, 1211, 3120, 119055, 29771, 15388, 5, 1470, 6, 147455, 20961, 37826, 11265, 32, 92500, 7369, 4151, 8300, 54260, 21295, 12, 2451, 3373, 26, 68313, 1751, 75230, 1211, 4838, 4231, 29766, 23031, 2205, 10676, 4, 3120, 874, 48904, 50273, 905, 144295, 3120, 4151, 6, 112353, 4852, 54260, 49008, 20033, 1470, 177282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 33225, 4, 1470, 6, 133111, 387, 220224, 49008, 20033, 6319, 54260, 1211, 188511, 31623, 101328, 132025, 130991, 5, 168892, 151614, 1982, 6235, 65285, 2882, 9356, 3373, 76632, 29766, 5950, 149364, 2702, 68558, 2205, 6, 48253, 34882, 25207, 5, 199145, 11265, 6235, 20315, 185226, 7243, 32, 3373, 76632, 29766, 38, 6255, 119055, 13845, 1470, 54260, 4667, 6, 225975, 1211, 4838, 210228, 4, 11265, 7265, 57689, 10676, 10069, 20961, 39340, 2200, 41764, 71616, 15350, 29171, 2200, 34076, 165592, 6093, 212915, 4151, 1751, 15662, 2882, 4, 37826, 7508, 47351, 6235, 68566, 16747, 29060, 10069, 95247, 56401, 137, 216993, 12415, 157859, 2004, 1470, 157859, 88660, 155341, 13159, 2205, 64769, 186145, 34654, 120467, 564, 54260, 29434, 5, 4231, 31177, 5594, 64260, 18225, 23050, 2865, 115536, 5, 2451, 6255, 6235, 20315, 20260, 8947, 163139, 364, 54260, 13497, 292, 11265, 6, 225975, 2882, 3069, 20033, 12, 194734, 657, 54260, 168155, 4, 145813, 17537, 20033, 1470, 54260, 1211, 1285, 10184, 46985, 36419, 4, 20033, 1211, 19532, 75230, 2702, 7201, 29766, 1211, 5, 1285, 10184, 46985, 101608, 30946, 56976, 37826, 6319, 54260, 59461, 7243, 241997, 145813, 48904, 12483, 133880, 20033, 5, 2451, 137, 31177, 1644, 56976, 155, 6, 225975, 2882, 18225, 4, 7243, 137, 17410, 506, 56976, 155, 292, 32899, 120749, 70845, 35189, 6, 44478, 6093, 5, 2451, 6, 64260, 151614, 126934, 124724, 38, 199145, 3056, 4151, 6, 140495, 7508, 30946, 3069, 1157, 506, 32, 220224, 49008, 81444, 4667, 1982, 54260, 20315, 3120, 1285, 123736, 38574, 38, 2451, 3120, 1285, 1470, 7758, 850, 4, 7508, 26, 6, 194734, 657, 54260, 168155, 4, 147062, 18225, 6, 225975, 1211, 5, 35189, 8300, 54260, 1644, 109226, 3120, 45521, 50853, 3742, 2451, 6, 64260, 151614, 126934, 124724, 38, 2205, 169550, 4113, 9424, 54260, 28320, 37826, 18225, 6319, 54260, 1211, 6, 103023, 108264, 7243, 8903, 44478, 13497, 5, 7369, 121193, 158291, 1470, 75230, 2702, 7265, 4151, 564, 54260, 48253, 2200, 160238, 2882, 4838, 159696, 4484, 5, 111996, 137, 28714, 22492, 118222, 2808, 155, 199145, 37826, 7746, 18133, 46985, 7243, 19532, 54260, 5666, 8903, 9719, 29659, 148620, 119859, 57619, 1211, 63259, 13159, 2200, 74806, 119718, 116628, 163139, 220224, 1211, 99531, 4, 3056, 564, 54260, 1285, 141879, 7508, 54260, 2648, 163139, 1470, 75230, 111137, 1644, 54260, 98833, 6235, 119718, 29766, 1211, 5, 37826, 1470, 75230, 2702, 2932, 21660, 75230, 15388, 220224, 1211, 198754, 4113, 137, 506, 62067, 155, 1285, 17824, 75230, 4113, 1285, 37271, 28714, 22492, 118222, 2808, 155, 2200, 32054, 54260, 44779, 6235, 21733, 71577, 2882, 2205, 4151, 7369, 2648, 4, 95455, 37826, 6235, 506, 54260, 46053, 36258, 30315, 4, 212809, 5, 62808, 57973, 7746, 1470, 75230, 111137, 39293, 56169, 230764, 4151, 132845, 39340, 4, 2200, 7265, 32054, 65689, 187667, 4852, 18167, 6235, 212484, 2882, 2205, 6, 159696, 2932, 5, 10069, 6, 119312, 1470, 75230, 18406, 37826, 1470, 75230, 4667, 5332, 22426, 13159, 163139, 69741, 23093, 6235, 506, 40096, 230764, 11265, 40026, 6093, 2648, 123329, 364, 45631, 2200, 37826, 6235, 4944, 71577, 2882, 4838, 1751, 46545, 17824, 75230, 4113, 10498, 174121, 2200, 7746, 56170, 2648, 87442, 95455, 22426, 12130, 27, 3373, 26, 68313, 6235, 119718, 29766, 1211, 21374, 1644, 1470, 18895, 5594, 5, 2200, 2205, 9424 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 119718, 2808, 57619, 7682, 238419, 9424, 54260, 2882, 57973, 62808, 4151, 23847, 54260, 40920, 1285, 77775, 6, 48253, 92605, 25207, 3120, 67882, 13805, 5, 7508, 26, 5, 62808, 220224, 49008, 6235, 7201, 29766, 1211, 3120, 6, 48253, 34882, 25207, 3069, 6, 48253, 34882, 25207, 4, 32899, 22492, 83182, 8903, 2882, 54260, 21295, 1285, 97925, 21374, 18630, 6, 172060, 126968, 2702, 2200, 4151, 137, 28714, 22492, 118222, 2808, 155, 37826, 7265, 172033, 6, 190135, 6, 131445, 5, 2357, 69855, 111996, 6, 21106, 149364, 2702, 68558, 35189, 184639, 19532, 75230, 2702, 8903, 65848, 148346, 114436, 4484, 14081, 32829, 16803, 35189, 137, 18279, 48350, 155, 292, 1470, 75230, 75578, 120749, 6093, 3120, 874, 5, 4, 5950, 54260, 1211, 1470, 20632, 2882, 25491, 30473, 89930, 4, 3120, 46590, 17190, 26217, 46646, 6319, 75322, 22426, 4, 220224, 6093, 4838, 73095, 50778, 96302, 21106, 6093, 115556, 4, 37826, 7265, 76961, 220224, 23269, 1470, 54260, 2648, 109316, 73095, 50778, 96302, 1211, 81444, 4667, 7243, 241997, 6681, 1982, 54260, 2932, 54260, 1211, 10676, 43649, 40096, 28726, 12984, 8903, 39293, 7611, 292, 199145, 6, 225975, 2882, 12, 1285, 7369, 2648, 6235, 506, 6093, 47783, 3069, 1285, 1470, 54260, 105405, 710, 46685, 119055, 13845, 107581, 506, 29771, 18406, 4838, 167048, 230764, 11265, 4, 2200, 199145, 57973, 7265, 182731, 56170, 11265, 27702, 8300, 39083, 2882, 5, 2200, 10813, 25890, 4151, 6319, 39083, 171433, 34533, 37826, 220224, 1211, 141879, 48494, 18415, 7243, 27702, 8300, 39083, 2882, 4, 43449, 54260, 47332, 22753, 21106, 7611, 2205, 6, 61155, 133454, 1470, 54260, 105405, 710, 46685, 4, 2200, 7369, 37826, 95455, 198754, 3069, 160204, 199145, 6093, 163139, 1644, 5, 10069, 714, 4231, 29766, 206994, 4, 7544, 2200, 1751, 238144, 2702, 199145, 1285, 10339, 26612, 123559, 4113, 43649, 54260, 1211, 4, 37826, 2808, 75230, 6293, 10676, 67826, 21733, 45521, 50853, 1470, 159696, 4484, 195054, 54260, 13497, 220224, 49008, 2205, 364, 41595, 6093, 139485, 13497, 6235, 90536, 18406, 5, 10069, 6, 134727, 220224, 123073, 12, 6150, 1285, 7369, 2648, 37826, 6, 105780, 6293, 4231, 29766, 3496, 92904, 64751, 46985, 2702, 54196, 4, 2200, 13342, 7972, 1982, 10676, 57973, 220224, 10676, 137, 48904, 905, 21106, 15435, 93704, 155, 7243, 6235, 8300, 39083, 2882, 5, 1285, 6, 134727, 3056, 6235, 90536, 18406, 17288, 183216, 27, 96302, 81829, 4, 6150, 13845, 107581, 163139, 20033, 2200, 11265, 4, 23165, 1470, 75230, 4667, 32899, 123559, 12483, 10339, 64260, 93497, 4, 119718, 120467, 57973, 6235, 119718, 21292, 143064, 220224, 6093, 364, 75230, 4852, 8903, 4852, 41595, 4, 220224, 6093, 364, 54260, 2050, 4, 1285, 59461, 2702, 3120, 43649, 40096, 4, 2451, 220224, 49008, 6, 130991, 57973, 160238, 195054, 54260, 35596, 4151, 10339, 26612, 123559, 4113, 10676, 2190, 33716, 54260, 1644, 3120, 37271, 18279, 48350, 155, 12, 292, 137, 2648, 13159, 21106, 29771, 4944, 29771, 69872, 92500, 7265, 4838, 6319, 186955, 1211, 7369, 16667, 2882, 57973, 220224, 6, 139449, 1470, 75230, 2702, 215629, 10676, 41764, 95564, 5, 364, 29766, 18406, 6, 23173, 75230, 2702, 8903, 101328, 98833, 1285, 10339, 26612, 123559, 4113, 3120, 220224, 6093, 1751, 104855, 5, 95455, 45521, 50853, 4, 10676, 119055, 21106, 2648, 4, 35189, 8300, 54260, 1644, 109226, 3120, 45521, 50853, 714, 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 ]
[ 99766, 1211, 2200, 3373, 142429, 4, 76961, 17879, 12130, 4, 1285, 206994, 3120, 714, 4231, 29766, 4, 3056, 6235, 90536, 18406, 2205, 61155, 3120, 1285, 200795, 43393, 10954, 448, 5, 4151, 21776, 28714, 5666, 35596, 4, 95455, 12023, 35044, 10184, 4, 1285, 1470, 68566, 50931, 29631, 28714, 16629, 49008, 4, 95455, 3056, 40653, 193120, 6235, 119718, 29766, 1211, 3069, 1285, 19302, 54260, 23269, 30109, 16870, 710, 205416, 1211, 4, 119055, 13845, 107581, 57973, 6235, 87311, 13497, 564, 54260, 4151, 32899, 123559, 4113, 182731, 6681, 89727, 77820, 4, 1470, 5, 1470, 5, 119055, 5, 92500, 4151, 116486, 26394, 2702, 3056, 6235, 188301, 2882, 6235, 119718, 29766, 1211, 5, 10069, 6319, 39083, 171433, 17645, 37826, 1470, 75230, 111137, 10918, 16932, 2882, 4, 4838, 22518, 37016, 192956, 2442, 6, 89930, 37826, 22753, 1470, 54260, 23405, 20616, 710, 21295, 5, 1285, 41764, 12130, 26, 6093, 564, 54260, 1285, 200795, 41764, 101328, 59461, 1211, 220224, 49008, 1751, 119718, 20961, 7611, 6235, 119718, 29766, 1211, 163139, 4484, 75230, 1644, 4, 4838, 56170, 2648, 60071, 6235, 9719, 29659, 7265, 46711, 75230, 6093, 37826, 7746, 3120, 220224, 123073, 121193, 54260, 48253, 1211, 2205, 10069, 9721, 75230, 23269, 41764, 99611, 26, 6093, 19532, 75230, 2702, 8903, 104149, 4, 8947, 37826, 4231, 53414, 1470, 54260, 119132, 6235, 68566, 163177, 29060, 1285, 5666, 83586, 4, 6, 238144, 6235, 97634, 1211, 95455, 364, 23173, 7611, 4, 8947, 37826, 7746, 6235, 22680, 4113, 98833, 12, 2451, 119055, 10705, 6, 104378, 72649, 8580, 1285, 657, 54260, 2648, 2200, 41764, 54260, 1211, 4, 187483, 2200, 46654, 54260, 2702, 3120, 2808, 6, 59919, 21338, 6, 115768, 6, 101328, 61621, 32, 119055, 10705, 3056, 4151, 657, 75230, 1211, 4, 4151, 6, 103386, 3120, 4151, 187483, 74004, 46685, 14857, 22426, 32184, 4, 199145, 37826, 3120, 1470, 1751, 46545, 6, 172060, 80885, 45521, 119425, 172590, 34072, 188301, 1211, 137, 16870, 1211, 155, 185000, 32, 292, 34654, 210346, 25207, 6681, 13982, 120467, 125897, 67826, 2865, 17310, 37826, 95298, 7243, 6, 143409, 171433, 8903, 234221, 2205, 4151, 6319, 39083, 171433, 17645, 5, 10069, 27702, 16629, 89930, 1211, 3120, 76961, 6, 231015, 448, 12, 137, 31177, 83811, 155, 292, 22753, 3056, 6, 130991, 2200, 119718, 11265, 43649, 54260, 61397, 3056, 12, 4838, 12890, 35044, 119055, 46646, 6093, 3120, 1285, 1470, 75230, 15388, 564, 54260, 1285, 137, 69801, 710, 17297, 140468, 155, 137377, 8903, 36723, 22426, 2882, 27, 120202, 8903, 97634, 1211, 11265, 2702, 4, 37826, 22753, 7746, 2205, 1470, 220224, 2882, 6681, 3111, 51723, 27, 2200, 23269, 2865, 115536, 162726, 2808, 7611, 564, 54260, 4231, 53414, 2205, 55202, 6681, 10676, 5950, 2865, 91595, 133671, 161048, 29771, 68313, 2050, 119055, 13845, 104238, 3056, 6, 130991, 6235, 20961, 63593, 2882, 7265, 4151, 80839, 2865, 135118, 6093, 67826, 1644, 135118, 6093, 137, 67054, 7758, 155, 27, 92500, 22753, 4, 1285, 143064, 24295, 39340, 4, 37826, 6, 17645, 35465, 2205, 1470, 75230, 6093, 6, 23173, 54260, 1211, 4, 7265, 11265, 4113, 564, 21106, 74004, 2050, 7972, 109636, 44779, 6235, 21066, 34533, 77188, 12, 2451, 22444, 506, 7682, 38, 22444, 506, 7682, 38, 119055, 6093, 6235, 23822, 54260, 16803, 38, 96302, 81829, 57973, 7746, 3069, 8903, 506, 77188, 3069 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 220224, 123073, 7508, 54260, 2648, 27, 2200, 220224, 49008, 6235, 119718, 29766, 1211, 8903, 23822, 54260, 16803, 5, 2808, 54260, 1211, 137, 9183, 25391, 2004, 7369, 37826, 7746, 6235, 25616, 177148, 4, 6, 64260, 4151, 6, 21106, 16932, 114955, 212484, 6093, 4, 119718, 120467, 37826, 42493, 230764, 220224, 1211, 98478, 6319, 54260, 1211, 80839, 40920, 3120, 220224, 1211, 137, 710, 25391, 15050, 155, 4151, 28726, 47332, 27, 6093, 37826, 7746, 23050, 30750, 4667, 56170, 36326, 63532, 27, 2205, 4838, 163139, 20260, 109316, 37826, 7369, 7746, 56170, 144581, 18406, 92500, 3120, 6428, 99766, 7265, 9213, 17160, 2200, 145813, 64260, 230764, 95455, 6, 21106, 7611, 6235, 98055, 2882, 27, 2200, 564, 54260, 7746, 8903, 236376, 28194, 69855, 111996, 6, 59094, 149364, 2702, 68558, 2451, 119055, 101503, 38, 119055, 101503, 38, 8947, 3056, 1751, 75230, 1211, 6, 113889, 35596, 1285, 9424, 54260, 2882, 27, 95455, 44917, 5666, 26394, 874, 34533, 159696, 2882, 117641, 1211, 230764, 1470, 54260, 123073, 115222, 22426, 27, 92500, 1285, 6, 23173, 75230, 2702, 8903, 65848, 1982, 65482, 32, 3069, 220224, 3056, 1285, 51369, 7758, 7243, 6, 130991, 4151, 2865, 115536, 212484, 6093, 137, 9183, 25391, 155, 37826, 220224, 1470, 75230, 4667, 230764, 18338, 25616, 6235, 212484, 1211, 27, 95766, 4838, 24012, 35189, 125897, 137, 2442, 84577, 3131, 109316, 155, 6, 78683, 46685, 71512, 4, 57973, 220224, 292, 564, 54260, 4838, 112216, 16803, 31212, 292, 7746, 1470, 54260, 23405, 16870, 109226, 4, 23050, 18406, 4151, 6, 71804, 3111, 76776, 3120, 137, 2702, 84577, 29771, 6, 97634, 2865, 59929, 2909, 4852, 54260, 6093, 137, 104855, 710, 182759, 155, 6, 59919, 55546, 4, 199145, 1285, 30109, 16870, 710, 205416, 1211, 57973, 3120, 95455, 182990, 64044, 24621, 2932, 40653, 8903, 212484, 1211, 6681, 1211, 5950, 28320, 41764, 101328, 59461, 58826, 177243, 292, 4151, 10339, 64260, 6093, 3120, 1285, 23173, 75230, 2702, 8903, 65848, 1982, 65482, 292, 6, 64260, 123736, 95455, 6, 21106, 18415, 6235, 21066, 87442, 4113, 6, 59919, 55546, 4, 199145, 6, 226112, 98833, 2808, 75230, 6293, 220224, 1211, 22444, 38249, 1285, 29434, 54260, 9585, 95957, 57277, 18406, 4231, 5, 6319, 5, 1470, 5, 37826, 95455, 12023, 35044, 95836, 21295, 67873, 220224, 93497, 4, 2205, 10676, 67826, 17160, 84475, 137, 2442, 62067, 3131, 29771, 155, 40653, 8903, 7916, 33716, 4, 2200, 1285, 32899, 123559, 4113, 29659, 54260, 1211, 37826, 7746, 6428, 99766, 1470, 54260, 5666, 8903, 29766, 2648, 13497, 2200, 9356, 39293, 56169, 5, 10069, 9424, 238144, 114338, 448, 220224, 123073, 4, 1285, 4838, 68566, 50931, 205416, 1211, 199145, 57973, 6, 101328, 61621, 95455, 1470, 54260, 2932, 65482, 45521, 50853, 6235, 23173, 1982, 29060, 4, 57973, 7746, 564, 54260, 1285, 4269, 75230, 2808, 40697, 72577, 1982, 165592, 710, 89930, 4838, 75386, 6, 109636, 239162, 1211, 7201, 23173, 2648, 109226, 4, 2200, 7265, 10676, 657, 75230, 1211, 3120, 220224, 6093, 206994, 4, 1285, 16175, 174121, 67882, 24621, 2200, 1285, 3131, 159696, 82576, 1285, 10954, 6, 5594, 82377, 7508, 30946, 26, 4113, 4, 1470, 127461, 1644, 3120, 1470, 4231, 29766, 543, 4, 874, 196353, 6235, 159696, 1211, 5, 88660, 1644, 171433, 34533, 1211, 4, 2200, 154586, 115374, 199145, 57973, 4838, 1751, 119718, 26612, 12984, 6, 50647 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2884, 57973, 230764, 2932, 18167, 6681, 8903, 46053, 10676, 60118, 91595, 4, 199145, 3056, 196991, 220224, 6093, 87644, 10676, 5950, 28320, 58826, 177243, 25491, 185337, 12483, 6235, 119718, 29766, 1211, 4, 2200, 1285, 6319, 39083, 171433, 17645, 3056, 22444, 2808, 7682, 2200, 67826, 1644, 6235, 90536, 18406, 5, 5666, 29766, 1285, 18906, 22426, 32184, 6, 21106, 54260, 1211, 4, 1285, 19532, 75230, 2702, 8903, 65848, 1982, 65482, 4, 220224, 57973, 56170, 8903, 46053, 7243, 8903, 88660, 13497, 27, 1470, 22518, 37016, 192956, 2442, 6, 89930, 2200, 1470, 200284, 37826, 7746, 2205, 220224, 6093, 68889, 64213, 7201, 23173, 144581, 18406, 4, 4838, 10339, 54260, 6093, 3120, 9424, 29766, 1211, 2200, 6, 20260, 7758, 37826, 2205, 220224, 6093, 564, 137119, 6235, 4852, 142429, 1211, 2200, 144754, 5332, 21733, 2200, 33960, 23741, 57973, 220224, 6235, 98055, 2882, 230764, 4838, 117902, 2442, 3120, 220224, 123073, 1751, 56331, 4, 199145, 4852, 54260, 49008, 6235, 4484, 90848, 12984, 2205, 6, 93704, 160059, 34575, 215726, 4, 27702, 8300, 39083, 2882, 3496, 26612, 1982, 23173, 40611, 3069, 196979, 4852, 54260, 6093, 7369, 2648, 4, 220224, 123073, 6, 61541, 35189, 119055, 13845, 107581, 220224, 57973, 6, 101328, 61621, 2200, 6, 101328, 61621, 7265, 220224, 139365, 137119, 4, 1751, 238144, 2702, 52059, 15231, 119718, 54196, 5, 95766, 123736, 119718, 13497, 125523, 4151, 206994, 10339, 147713, 1211, 1285, 114955, 9424, 119718, 65689, 7746, 7508, 54260, 35465, 36324, 13845, 107581, 7508, 54260, 2648, 4, 6150, 1285, 5950, 18415, 177868, 26659, 4, 1285, 7038, 16932, 220224, 123073, 4, 10339, 147713, 2882, 1470, 75230, 7201, 10918, 16932, 1211, 3120, 25391, 37016, 27, 25207, 29025, 54260, 12666, 91275, 12483, 3120, 45521, 50853, 3768, 2451, 6, 236376, 7243, 3120, 6, 20260, 7758, 4, 114955, 38, 10339, 147713, 2882, 220224, 1285, 6, 21106, 18415, 187667, 139365, 213783, 292, 2181, 3056, 219047, 6150, 75230, 3120, 4269, 64260, 128364, 77188, 27, 657, 29771, 62808, 8947, 123736, 101470, 6681, 7972, 1982, 27, 29771, 75578, 1470, 75230, 4667, 1285, 7038, 16932, 10339, 147713, 2882, 133190, 1285, 114955, 1470, 75230, 49268, 54260, 35465, 40611, 3069, 64044, 506, 161577, 220224, 3120, 620, 91595, 2702, 5, 29771, 75578, 2205, 11265, 364, 23173, 64213, 6428, 99766, 2205, 7508, 6093, 16175, 32097, 37826, 1470, 75230, 4667, 4838, 10339, 54260, 6093, 6, 61397, 13458, 35596, 5, 230764, 4269, 64260, 6, 21106, 54260, 1211, 56170, 119718, 120467, 83066, 2882, 7369, 220224, 1211, 6, 159696, 21295, 36324, 75230, 4, 2200, 163139, 4151, 212484, 2882, 7369, 215031, 60118, 91595, 12, 292, 6, 23173, 75230, 2702, 13342, 23822, 54260, 18406, 220224, 3120, 220224, 6093, 1751, 104855, 4, 199145, 220224, 506, 29771, 18406, 160751, 75230, 2882, 2200, 7265, 1285, 564, 29766, 159696, 36419, 6, 131445, 95455, 657, 54260, 2050, 56170, 11265, 6235, 4484, 113889, 28320, 5, 2808, 54260, 1211, 6, 17645, 177243, 4, 4151, 27016, 3120, 4151, 19532, 75230, 2702, 8903, 65848, 1982, 114436, 18906, 22426, 32184, 4, 7369, 37826, 219947, 6235, 238144, 13497, 4, 1470, 75230, 4667, 42493, 6658, 25207, 2050, 6235, 159696, 1211, 230764, 6319, 54260, 119132, 74, 7369, 3056, 133190, 3496, 92904, 10705, 2865, 8903, 240863, 12483, 56170, 236376, 2200, 6235, 203326, 1211, 1285, 23050, 21847, 3120, 1285, 364, 35596, 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 ]
[ 2200, 64699, 144754, 6319, 54260, 119132, 7243, 6, 238197, 6319, 54260, 1211, 119055, 99766, 5, 4838, 1751, 238144, 15388, 3056, 230764, 70845, 132025, 8903, 7201, 21106, 1211, 4, 4838, 165284, 46685, 6235, 238144, 1211, 4, 4838, 6235, 238144, 1211, 6, 68558, 46711, 53414, 3056, 230764, 220224, 1211, 41764, 12130, 1470, 75230, 2702, 8903, 2932, 120467, 1211, 6235, 119718, 29766, 1211, 4, 1470, 3523, 83586, 8903, 238144, 1211, 4, 199145, 6, 110129, 38249, 2200, 165284, 2050, 4, 129165, 16803, 8947, 2200, 25616, 63593, 23741, 95455, 364, 23173, 7611, 4, 6319, 75230, 20911, 7265, 2190, 107182, 2200, 6, 114436, 230764, 4269, 64260, 2702, 6, 159696, 21295, 5, 10069, 32054, 75230, 7265, 1285, 114955, 57973, 7746, 1751, 57277, 24152, 74806, 90848, 38249, 56170, 10676, 1751, 238144, 15388, 27, 2200, 7265, 51963, 178748, 28726, 4944, 4484, 54260, 28320, 6235, 104149, 1470, 75230, 49268, 54260, 35465, 70845, 5, 6681, 23847, 23174, 53414, 70845, 20315, 2050, 6, 238144, 46545, 4, 220224, 57973, 7746, 6235, 506, 15907, 4, 70845, 7243, 19532, 75230, 2702, 13342, 199511, 230764, 1285, 3944, 22426, 1211, 2648, 120467, 6235, 36326, 65482, 4, 2200, 47783, 6235, 119718, 15533, 1211, 56170, 70845, 4838, 32054, 54260, 44779, 6235, 144754, 5, 13159, 37826, 95298, 6, 238144, 29171, 199145, 6235, 506, 39083, 33225, 4, 4151, 6, 21106, 16932, 37826, 74806, 119718, 116628, 4, 92500, 3056, 199145, 1470, 166464, 28415, 48277, 112711, 4944, 39083, 152185, 6235, 119718, 29766, 1211, 5, 1285, 364, 29766, 3120, 220224, 1211, 191795, 38054, 4852, 54260, 49008, 6, 238144, 101608, 6235, 119718, 29766, 1211, 4, 1285, 121193, 54260, 48253, 1211, 230764, 220224, 1211, 41764, 12130, 86510, 6093, 4, 2200, 220224, 23269, 1470, 75230, 15388, 506, 29771, 18406, 163139, 6681, 1644, 75230, 61621, 10676, 6319, 39083, 9221, 5, 230764, 1285, 51963, 7508, 54260, 2648, 199145, 1285, 32899, 123559, 73381, 147713, 2882, 3069, 70845, 7508, 54260, 35465, 4, 10339, 147713, 2882, 7369, 133190, 7265, 4838, 86510, 1211, 22753, 7201, 7611, 4, 2200, 7265, 4838, 67882, 4667, 144754, 1211, 364, 62067, 120202, 35596, 59919, 1211, 27, 159696, 1211, 1285, 10954, 104395, 506, 7508, 30946, 26, 4113, 4, 220224, 1211, 143064, 164461, 4, 10339, 147713, 2882, 7746, 3069, 70845, 3069, 39293, 64213, 144754, 7508, 54260, 2648, 4, 2200, 564, 213783, 12, 2451, 199145, 3056, 124724, 4, 41764, 2808, 22426, 2808, 4, 199145, 23050, 2865, 126934, 124724, 6150, 75230, 73784, 68889, 64213, 32, 170479, 4852, 18167, 219047, 18133, 40920, 1211, 4, 36324, 20033, 220224, 49008, 2205, 1470, 54260, 90848, 109636, 4, 2200, 1285, 6, 112353, 37826, 219047, 3882, 4852, 38054, 12890, 6, 59094, 149364, 2702, 68558, 15529, 14004, 7511, 33716, 4, 2200, 37826, 125523, 1285, 114955, 169550, 4113, 1470, 75230, 4667, 2205, 620, 26612, 40920, 4838, 159696, 4484, 8903, 3131, 28726, 22426, 2882, 27, 20033, 220224, 49008, 4231, 17310, 4113, 114955, 4, 20033, 6, 159696, 67873, 206994, 1211, 4, 2200, 20033, 6, 159696, 67873, 4852, 18167, 125523, 98252, 19532, 75230, 7201, 23173, 1982, 213783, 5, 230764, 1285, 51963, 7508, 54260, 2648, 10339, 147713, 4151, 5950, 16932, 133190, 144754, 1470, 1751, 119718, 53414, 22753, 7201, 7611, 2200, 1470, 1751, 218241, 1644, 159308, 6319, 137377, 120202, 35596, 59919, 1211, 74, 2200, 119055, 12483, 1285 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 874, 54260, 55546, 7201, 147713, 2882, 7746, 6, 26394, 238144, 49008, 4, 10339, 147713, 2882, 7369, 133190, 4838, 117902, 2442, 119055, 6093, 16932, 1470, 75230, 49268, 54260, 35465, 12, 2451, 6255, 7501, 131397, 103023, 2205, 1470, 54260, 6093, 101251, 21847, 7682, 27, 2200, 7369, 10339, 147713, 2882, 27702, 50853, 132025, 4852, 64260, 1644, 12483, 21776, 2050, 137, 104855, 710, 182759, 155, 19532, 75230, 7201, 7201, 29766, 1211, 1470, 75230, 18406, 2205, 119055, 14081, 2648, 4, 2200, 1470, 364, 54260, 2050, 6, 104378, 3131, 75230, 1211, 145813, 29060, 2205, 4151, 6, 76776, 40920, 5, 13159, 3056, 36324, 75230, 4838, 159696, 4484, 4151, 4269, 48904, 89930, 163139, 13497, 6093, 4, 1285, 18906, 22426, 32184, 37826, 1751, 57277, 24152, 195054, 161577, 5, 1470, 54260, 5666, 170355, 2050, 4, 895, 16747, 2200, 3120, 6, 17645, 35465, 1470, 54260, 119132, 56170, 212484, 2882, 220224, 49008, 220224, 2205, 10676, 37271, 2442, 84577, 3131, 109316, 155, 6235, 39293, 46053, 2200, 7746, 6235, 39293, 46545, 2882, 7265, 6, 89930, 27, 13159, 3056, 132025, 130991, 4151, 40026, 164461, 5, 2808, 1751, 54260, 59461, 3944, 40920, 123329, 874, 29766, 15388, 5, 1468, 35189, 5950, 16932, 6, 137218, 177243, 3056, 23050, 18406, 4151, 7508, 84577, 3131, 29771, 74806, 57277, 49008, 2200, 6235, 4852, 64260, 21295, 20315, 2050, 137, 104855, 710, 182759, 2909, 10069, 6, 119312, 4, 4838, 4231, 17310, 4113, 4, 4838, 32054, 40697, 4, 133190, 199145, 1470, 75230, 111137, 3131, 57277, 49008, 4, 6, 29060, 119718, 120467, 43449, 54260, 4667, 61397, 75230, 2882, 21295, 4, 17806, 20911, 7746, 1470, 91163, 37640, 130170, 1211, 137, 2702, 62067, 2808, 113889, 136775, 4113, 6093, 155, 119055, 14081, 2648, 5, 26612, 167048, 21106, 37826, 7746, 3120, 4151, 6, 119312, 163139, 120202, 8903, 121865, 1211, 4, 7746, 190800, 8903, 29659, 905, 22426, 2882, 8300, 119718, 65689, 1285, 364, 75230, 107581, 6, 97634, 204403, 22849, 75230, 46685, 4, 3056, 19532, 54260, 1211, 9424, 119718, 65689, 1285, 19302, 54260, 23269, 1470, 75230, 53414, 133454, 104855, 710, 182759, 45521, 38054, 4, 6, 23173, 54260, 23405, 29060, 48904, 56169, 2205, 220224, 1211, 6235, 21066, 87442, 6093, 6, 68566, 159696, 364, 29766, 2200, 220224, 137377, 8903, 7201, 23173, 47332, 7265, 220224, 1211, 4269, 39083, 2648, 6319, 39083, 9221, 2200, 27702, 50853, 37826, 7369, 4, 4151, 167048, 21106, 6, 23173, 75230, 111137, 2882, 48904, 56169, 230764, 6, 137218, 177243, 2702, 364, 84577, 4, 7746, 67826, 59919, 13456, 6235, 2932, 69181, 29659, 9424, 119718, 65689, 220224, 23269, 564, 54260, 59461, 23269, 6, 223390, 6093, 2200, 3120, 6428, 99766, 3056, 7369, 19532, 75230, 6293, 230764, 220224, 1211, 132025, 8903, 4944, 53521, 29060, 8903, 30473, 40920, 2200, 7746, 6, 139449, 3069, 38249, 230764, 220224, 1211, 41764, 12130, 4, 46440, 1211, 7746, 4, 97483, 57619, 1211, 2205, 6150, 710, 65442, 48904, 5, 7369, 3056, 70845, 6235, 4484, 90848, 12984, 2205, 1285, 1470, 75230, 15388, 4, 2205, 4151, 6, 113889, 4852, 4, 6235, 130929, 152848, 96256, 448, 1285, 1751, 54260, 1211, 2200, 7746, 163139, 6, 61397, 54260, 56169, 7265, 220224, 1211, 6, 59461, 159696, 4852, 131044, 5, 35189, 6, 21106, 16932, 4, 4838, 56170, 12890, 16932, 16932, 2200, 58826, 29260, 2648, 123329, 37826, 6235, 4852, 219425, 29060, 7265 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10069, 1470, 75230, 15388, 4, 6235, 7201, 29771, 4944, 29060, 7265, 1285, 364, 35596, 4, 2200, 6235, 119718, 39083, 2882, 5950, 7611, 120202, 23822, 54260, 18406, 3120, 7746, 20315, 2050, 67826, 59919, 65689, 167048, 21106, 4, 2200, 7369, 4, 163139, 230764, 3069, 2384, 107581, 21292, 37826, 7746, 7265, 3149, 34365, 22426, 506, 74806, 34079, 22426, 2882, 3069, 70845, 4, 2200, 70845, 7243, 6235, 212484, 2882, 9934, 64260, 1644, 12483, 10676, 45521, 38054, 5, 35189, 8300, 54260, 1644, 109226, 3120, 45521, 50853, 4235, 2451, 1470, 54260, 12023, 126934, 4838, 9174, 13342, 6293, 38, 292, 57973, 163139, 101251, 1982, 26612, 119718, 10705, 16803, 30473, 29171, 6, 23173, 75230, 2702, 238197, 58826, 177243, 2702, 3944, 22426, 1211, 4, 2200, 7369, 37826, 5332, 22426, 13159, 7243, 163139, 1644, 213952, 4838, 6, 71804, 4667, 6235, 97634, 1211, 3120, 10069, 6, 23173, 75230, 2702, 8903, 225975, 18415, 7508, 54260, 2648, 5, 292, 95455, 3056, 6235, 159696, 1211, 4151, 184639, 10498, 54260, 10813, 199145, 68313, 6, 23173, 88680, 220224, 23269, 3944, 22426, 1211, 4, 3120, 4151, 9424, 54260, 2882, 6, 68558, 22753, 13497, 874, 26, 506, 64260, 220224, 3120, 220224, 6093, 364, 54260, 2050, 7201, 23173, 65848, 18406, 4, 292, 4151, 2190, 107182, 220224, 59461, 37826, 7746, 4838, 41764, 12130, 56170, 10676, 101251, 8903, 120749, 1211, 10498, 54260, 10813, 4151, 25391, 218241, 1211, 4, 2200, 3056, 120202, 8903, 226112, 28320, 2205, 4838, 220224, 2882, 5, 8947, 3056, 70845, 5332, 22426, 13159, 7972, 4944, 46545, 6235, 119718, 29766, 1211, 2205, 874, 15662, 2200, 119055, 23173, 46598, 6235, 119718, 29766, 1211, 27702, 2050, 364, 23173, 64213, 5, 7369, 37826, 1470, 75230, 22680, 8903, 506, 77188, 9934, 64260, 1644, 12483, 4, 37826, 7746, 7265, 1285, 895, 91275, 75230, 15388, 132025, 8903, 3131, 22426, 23173, 2882, 1470, 75230, 33225, 22444, 38249, 3120, 59919, 2648, 4, 2200, 37826, 1470, 75230, 111137, 506, 75230, 18406, 10676, 6319, 137377, 4838, 39340, 15388, 4151, 1470, 75230, 150020, 54260, 188301, 6093, 6, 119312, 4, 159696, 1644, 107581, 37826, 6235, 234221, 2205, 27702, 22680, 54260, 12483, 7746, 133454, 190800, 30473, 40920, 133671, 43449, 75230, 28726, 12984, 23269, 22426, 1644, 2200, 4838, 144532, 139449, 163139, 7265, 4838, 4269, 39083, 20315, 119132, 364, 21106, 2648, 4852, 1982, 183512, 4, 10676, 6, 68566, 119132, 37271, 2702, 62067, 2808, 97634, 136775, 6093, 155, 119055, 14081, 2648, 5, 10069, 564, 75230, 46685, 4, 1470, 54260, 23405, 20616, 710, 21295, 2205, 220224, 6093, 1285, 119132, 133933, 2754, 7265, 4151, 1751, 54260, 59461, 94626, 164461, 5332, 72520, 564, 165592, 75230, 63532, 7265, 1751, 80453, 31623, 44779, 874, 29766, 15388, 2882, 75230, 4, 199145, 57973, 6235, 90536, 59929, 39340, 2882, 7265, 6, 121740, 163139, 1285, 46711, 53414, 2205, 1285, 1470, 75230, 15388, 564, 54260, 4838, 41764, 31623, 109316, 192544, 4, 57973, 7746, 4484, 75230, 2050, 9356, 159696, 98833, 147582, 82576, 213952, 9213, 4151, 67826, 1644, 4, 220224, 6093, 47552, 77582, 6, 219392, 3069, 4151, 39340, 7511, 15388, 3120, 166464, 27, 35189, 5950, 16932, 58826, 177243, 37826, 9721, 54260, 2882, 6, 26394, 73381, 13497, 220224, 23269, 1470, 75230, 15388, 4, 37826, 9356, 210674, 10069, 6, 76776, 29631, 2200, 34076, 54260, 4667, 163139, 7369, 215594, 8947, 10676, 7369, 29659 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 874, 39083, 2205, 220224, 1211, 98478, 4, 57973, 4852, 54260, 23269, 76961, 33414, 20560, 74806, 1644, 109226, 2200, 27702, 119718, 10705, 83182, 2882, 10676, 119055, 21106, 2648, 4, 10676, 4269, 48904, 64213, 107938, 6681, 4852, 54260, 4113, 18415, 45521, 50853, 4, 7265, 6, 88660, 61621, 4, 6, 238144, 7611, 2200, 3944, 68558, 74, 1285, 364, 54260, 4852, 44779, 3120, 1285, 6319, 39083, 171433, 34533, 1211, 4, 1285, 6235, 33716, 59461, 2200, 1285, 73095, 35189, 199145, 57973, 7746, 120202, 8903, 3131, 22426, 18640, 21295, 3120, 238144, 28320, 1470, 39340, 15388, 4151, 1470, 75230, 150020, 54260, 188301, 6093, 6, 119312, 5, 4151, 1470, 90848, 2865, 26632, 3120, 1285, 6, 73906, 51723, 4, 1285, 90536, 2808, 17310, 3120, 1285, 110167, 165592, 113889, 2702, 564, 75230, 46685, 4, 4151, 6, 170645, 4, 199145, 37826, 132025, 8903, 46590, 2882, 1285, 12666, 23741, 4, 95455, 5950, 7611, 37826, 10676, 5950, 28320, 4151, 94626, 29659, 4, 1285, 18367, 506, 90653, 85465, 54260, 4852, 4, 199145, 68313, 4838, 4269, 48904, 64213, 163139, 13497, 6093, 6235, 147713, 1211, 230764, 220224, 1211, 364, 23173, 64213, 3056, 163139, 6, 26394, 240863, 12483, 6235, 119718, 29766, 1211, 92605, 4113, 15388, 1285, 40026, 164461, 167048, 21106, 1211, 3120, 4151, 1751, 54260, 59461, 874, 29766, 15388, 6, 119312, 5, 8947, 37826, 2205, 70845, 35189, 119718, 26612, 40920, 4151, 6, 105780, 6293, 2200, 9424, 119718, 48904, 10918, 4484, 6, 63188, 123329, 6319, 39083, 171433, 34533, 2200, 6, 137218, 177243, 37826, 4852, 18167, 4151, 87311, 13497, 12, 1197, 4852, 38054, 12890, 6, 21106, 149364, 2702, 68558, 6093, 3056, 3120, 7213, 6293, 137, 7972, 2702, 26612, 1982, 68558, 155, 6, 23173, 137377, 2200, 132025, 8903, 506, 75230, 18406, 46711, 213783, 230764, 4151, 23173, 2932, 35596, 127684, 7369, 2648, 5, 2451, 177868, 26659, 38, 6, 225975, 2882, 7369, 3069, 220224, 1211, 32054, 75230, 4, 292, 55242, 133190, 10676, 1751, 54260, 119132, 11211, 17017, 119718, 710, 43449, 75230, 4, 3944, 4944, 46545, 7369, 3056, 38, 8947, 3056, 7243, 95455, 1751, 119718, 20961, 26394, 117902, 2932, 90848, 2050, 60071, 212394, 27, 177868, 26659, 20033, 220224, 49008, 32054, 54260, 38, 55242, 133190, 1285, 7369, 2648, 163139, 1751, 119718, 23173, 7611, 4, 45521, 2882, 22753, 3056, 38, 62808, 6, 159696, 67873, 22753, 206994, 1211, 4, 20033, 6, 159696, 67873, 81444, 4151, 42180, 1211, 169550, 4113, 114955, 2205, 10676, 119718, 23173, 4113, 51723, 6, 212394, 4, 81444, 119055, 29060, 1751, 75230, 1211, 220224, 1211, 169550, 1470, 54260, 1982, 125897, 364, 54260, 2050, 4, 3120, 6, 94741, 49008, 159696, 67873, 20033, 1751, 75230, 1211, 7243, 56170, 65848, 18406, 119055, 53414, 27, 92500, 6, 64260, 3056, 7369, 1751, 75230, 1211, 4838, 6319, 39083, 171433, 34533, 4, 56170, 87311, 98833, 1781, 364, 87442, 20961, 6, 212394, 4, 144754, 1470, 192183, 99176, 20911, 3120, 4151, 137, 14004, 46985, 155, 2200, 6, 64260, 9424, 39083, 2882, 7369, 11265, 10676, 137, 120560, 69803, 2648, 69859, 155, 4231, 29766, 564, 54260, 4231, 29766, 27, 35189, 874, 15662, 206994, 564, 54260, 70845, 4, 8947, 657, 75230, 33225, 1285, 226467, 4, 8947, 147582, 12483, 1285, 6, 101328, 61621, 5, 64260, 215594, 7369, 7746, 1470, 144532, 8903, 115453, 57619, 2882, 7265, 1470, 119055, 14081 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2442, 4, 1470, 3373, 142429, 4, 199145, 7369, 7265, 220224, 23269, 16580, 83182, 57973, 6235, 21066, 48904, 56169, 4, 4838, 6, 73906, 51723, 6235, 33716, 47526, 199145, 220224, 1211, 10954, 6, 5594, 82377, 7508, 30946, 26, 20616, 64260, 7265, 11265, 4113, 364, 35596, 1470, 75230, 111137, 8300, 75230, 15388, 4, 17879, 12130, 4, 364, 54260, 168155, 4, 43649, 21106, 1211, 4, 7195, 20635, 4, 4838, 68566, 50931, 29631, 28714, 16629, 49008, 4, 163139, 7508, 54260, 4667, 4, 203013, 7369, 3056, 1470, 54260, 5666, 8903, 119718, 29766, 34709, 2882, 230764, 10676, 1982, 142429, 1211, 5, 2200, 163139, 8947, 32054, 54260, 2882, 7746, 2205, 70845, 95455, 364, 23173, 7611, 5, 220224, 23269, 9424, 238144, 114955, 4, 1285, 109995, 220224, 23269, 4, 163139, 6235, 23822, 54260, 4, 46654, 54260, 150541, 4, 2200, 7265, 199145, 56170, 4838, 3944, 30750, 220224, 206994, 1211, 1285, 6093, 2648, 5, 2451, 55242, 133190, 177868, 26659, 38, 199145, 56170, 4838, 203013, 4113, 4231, 109226, 169550, 9174, 54260, 2050, 7265, 13458, 31212, 26, 1211, 220224, 49008, 1470, 75230, 2702, 8903, 119718, 92605, 46053, 564, 54260, 4151, 206994, 2205, 45521, 50853, 38, 27702, 236376, 133190, 4852, 54260, 123073, 75851, 50931, 1211, 3120, 1285, 364, 35596, 4, 163139, 45521, 16803, 220224, 6, 234221, 1285, 137, 17410, 96743, 155, 2200, 163139, 8903, 3131, 93449, 220224, 57973, 137, 17410, 2702, 54196, 155, 10676, 163139, 1644, 35465, 137, 204403, 99176, 2004, 4838, 4667, 177868, 26659, 38, 199145, 56170, 2808, 7369, 192956, 203013, 4113, 6, 80453, 124873, 1285, 1470, 68566, 50931, 29631, 3056, 38, 1982, 165592, 88917, 93497, 4151, 506, 75230, 18406, 6, 105235, 21295, 7746, 70845, 160238, 4151, 6, 87311, 96302, 4, 119055, 12483, 6, 150839, 64260, 95455, 137, 109600, 61397, 12890, 10813, 155, 19532, 75230, 2702, 25491, 104378, 3120, 4151, 364, 161459, 21776, 2932, 9221, 17310, 27, 14004, 56169, 177868, 26659, 292, 6, 225975, 2882, 7369, 7265, 172033, 4, 7501, 6255, 1751, 75230, 1211, 47833, 6, 48340, 35596, 127684, 6, 109600, 61397, 4, 4838, 32054, 54260, 6093, 115556, 3120, 4151, 7508, 54260, 104238, 1751, 54260, 59461, 21776, 172060, 181615, 74, 7746, 8903, 98833, 230764, 47783, 159308, 117902, 2932, 90848, 51723, 111506, 27, 81444, 2205, 10676, 1157, 50856, 119055, 12483, 9174, 54260, 2050, 35189, 8300, 54260, 12666, 91275, 12483, 3120, 45521, 50853, 5016, 144754, 189811, 26, 1211, 6, 159696, 67873, 6, 104378, 2205, 6, 123559, 16932, 895, 16932, 119055, 13845, 6255, 220224, 7265, 56170, 8903, 7511, 15388, 120202, 215629, 2205, 6319, 165592, 23173, 24621, 2200, 220224, 7265, 8903, 18406, 874, 54260, 1211, 364, 54260, 36419, 9721, 14325, 12, 2451, 4269, 54260, 2882, 114955, 44779, 1285, 13497, 46711, 54260, 169550, 3523, 54260, 4113, 112216, 65848, 4113, 4, 159308, 158628, 1211, 46711, 137377, 1211, 564, 137119, 1470, 54260, 53414, 170479, 2882, 11265, 56170, 2882, 54260, 103023, 1211, 11265, 7369, 2648, 4, 6, 64260, 10676, 160751, 35596, 29659, 1211, 2190, 18250, 119055, 13845, 12984, 20033, 57973, 1470, 75230, 4667, 1470, 364, 63849, 2205, 70845, 2200, 3120, 119055, 13845, 12984, 4484, 54260, 59461, 119055, 29060, 219047, 6319, 54260, 5666, 2865, 39083, 56170, 23822, 54260, 18406, 3120, 10676, 27, 23829, 177243, 6, 210674, 4, 17190, 47332, 40653, 5950, 7611, 230764, 4151, 238419 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]