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

input_ids listlengths 512 512	attention_mask listlengths 512 512
[ 40653, 29659, 54260, 15388, 10676, 9424, 141943, 105330, 2681, 26612, 1369, 966, 2451, 1530, 190, 55257, 2451, 363, 138, 1369, 966, 2451, 963, 5, 12465, 292, 361, 292, 564, 304, 292, 361, 292, 564, 758, 2203, 361, 292, 6, 92867, 1019, 2203, 361, 292, 564, 5, 19308, 292, 361, 292, 564, 363, 2203, 361, 292, 564, 910, 292, 361, 292, 6, 2050, 2702, 292, 361, 292, 6, 2050, 5, 363, 6, 5, 304, 2451, 361, 292, 209, 292, 361, 292, 534, 2451, 361, 292, 611, 292, 361, 292, 702, 2451, 361, 2451, 6, 4, 418, 292, 361, 292, 423, 2451, 138, 292, 387, 292, 361, 292, 7076, 966, 6, 5, 910, 1369, 361, 292, 423, 292, 361, 292, 427, 2451, 361, 483, 292, 361, 292, 616, 2451, 361, 292, 702, 292, 361, 292, 611, 2451, 201, 292, 729, 292, 361, 292, 7744, 418, 1369, 361, 292, 534, 2451, 361, 292, 427, 2451, 361, 292, 702, 2451, 121908, 2451, 361, 292, 423, 2451, 361, 292, 611, 2451, 382, 292, 423, 2451, 483, 85067, 5, 4151, 22639, 119718, 21106, 15435, 1211, 78683, 137377, 6093, 40096, 710, 119718, 206994, 1470, 75230, 2702, 6, 222907, 8300, 54260, 2932, 5, 2865, 26, 506, 40096, 6235, 2648, 23173, 23741, 6, 71577, 101296, 67873, 47658, 364, 15350, 89930, 23269, 45521, 38054, 5, 874, 26, 506, 64260, 1751, 75230, 1211, 6, 71577, 8903, 97634, 21295, 361, 45521, 38054, 5, 163139, 21066, 45521, 38054, 220224, 49008, 6, 207591, 56169, 6235, 87311, 21295, 5, 2451, 568, 13342, 8903, 18406, 3069, 305, 159308, 40653, 29659, 54260, 15388, 10676, 9424, 141943, 105330, 22426, 1369, 190, 6, 1211, 305, 1369, 106, 2289, 617, 52196, 109981, 1369, 382, 6, 1211, 305, 1369, 305, 1369, 305, 7508, 122420, 6, 5, 418, 2451, 201, 6, 1211, 305, 2203, 190, 6, 1211, 305, 1369, 305, 6, 1211, 305, 2203, 305, 6, 1211, 305, 1369, 382, 6, 1211, 305, 2203, 361, 1211, 1369, 305, 6, 1211, 209, 2203, 382, 6, 1211, 6, 156960, 6, 5, 758, 2451, 190, 6, 1211, 305, 2203, 483, 6, 1211, 305, 2451, 361, 6, 1211, 305, 292, 305, 6, 1211, 361, 2451, 483, 305, 2203, 910, 2451, 758, 1211, 12045, 2203, 6, 2050, 6, 1211, 305, 1662, 292, 2203, 305, 2592, 2203, 6, 2050, 6, 1211, 6, 174481, 292, 6, 2050, 305, 1530, 2203, 6, 2050, 292, 305, 1837, 2203, 6, 2050, 292, 305, 2203, 2203, 305, 534, 2203, 1126, 5, 2205, 4838, 3069, 2932, 220224, 49008, 6235, 159696, 1211, 305, 112216, 2702, 165592, 153796, 119718, 26612, 2932, 239162, 1211, 4, 201, 3373, 42695, 506, 119718, 26612, 2932, 239162, 1211, 2200, 106, 564, 208048, 163177, 119718, 208048, 1211, 5, 3120, 163139, 21066, 119055, 26612, 2932, 239162, 1211, 3056, 27702, 3131, 57277, 49008, 35189, 3069, 2932, 32, 20961, 137377, 101470, 305, 159308, 40653, 29659, 54260, 15388, 21776, 2050, 9424, 141943, 105330, 190, 71577, 6, 5, 22426, 758, 534, 201, 201, 2451, 910, 2451, 963, 5, 9271, 292, 305, 292, 6, 2050, 1019, 292, 305, 292, 564, 758, 292, 305, 292, 2203, 966, 292, 305, 292, 6, 2050, 5, 1019, 31, 292, 305, 292, 564, 910, 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 ]
[ 361, 292, 6, 2050, 16, 292, 382, 292, 6, 2050, 910, 292, 36, 292, 6, 2050, 5, 363, 6, 5, 304, 2451, 305, 292, 483, 2203, 305, 292, 209, 2451, 292, 423, 292, 292, 427, 2451, 305, 292, 702, 305, 292, 51332, 292, 387, 6849, 966, 6, 5, 910, 1369, 305, 292, 616, 292, 305, 292, 534, 2451, 305, 292, 382, 292, 305, 292, 702, 2451, 305, 292, 427, 292, 305, 292, 423, 1369, 201, 292, 611, 292, 305, 292, 7076, 418, 1369, 305, 292, 534, 2451, 305, 292, 427, 2681, 104867, 2451, 305, 292, 423, 2451, 361, 292, 702, 2451, 382, 292, 616, 2451, 483, 292, 423, 1369, 292, 14212, 5, 230764, 4151, 48706, 48904, 42180, 220224, 49008, 6235, 159696, 1211, 427, 1470, 75230, 97634, 164874, 1211, 5, 206105, 2808, 75230, 97634, 164874, 1211, 220224, 43178, 1211, 4838, 159696, 4484, 8903, 7201, 29766, 1211, 2200, 305, 220224, 49008, 125523, 6235, 90536, 18406, 5, 163139, 115453, 75230, 97634, 164874, 1211, 220224, 49008, 4838, 159696, 4484, 8903, 7201, 29766, 1211, 32, 13342, 8903, 18406, 3069, 190, 159308, 40653, 29659, 54260, 15388, 10676, 9424, 141943, 105330, 5, 2702, 3373, 7508, 1388, 4113, 1369, 382, 292, 190, 1369, 138, 292, 190, 29485, 966, 305, 2451, 382, 6, 1211, 190, 292, 190, 6, 1211, 190, 2203, 190, 6, 7961, 116, 6, 1211, 190, 292, 361, 6, 1211, 190, 2203, 190, 6, 1211, 2451, 305, 6, 1211, 190, 292, 483, 6, 1211, 190, 292, 190, 6, 1211, 1662, 6, 2050, 292, 190, 2203, 201, 6, 1211, 534, 2203, 190, 292, 534, 292, 190, 6, 1211, 15, 5, 107033, 2451, 201, 6, 1211, 190, 2451, 305, 6, 1211, 190, 2451, 382, 6, 1211, 1369, 190, 6, 1211, 147546, 1369, 305, 6, 1211, 190, 2451, 361, 190, 2451, 382, 6, 1211, 190, 2451, 483, 6, 1211, 5, 162082, 363, 5, 6, 137218, 20260, 109316, 37826, 5, 6235, 104149, 230764, 4151, 123736, 30473, 123073, 9424, 238144, 7213, 7201, 44779, 8300, 54260, 1644, 40653, 4, 163139, 21066, 6, 149364, 4852, 68558, 220224, 49008, 6235, 39293, 46053, 2205, 6, 17645, 35465, 7213, 21066, 2200, 564, 23173, 25207, 12984, 4, 163139, 21066, 6, 149364, 4852, 68558, 220224, 49008, 6235, 159696, 1211, 2205, 564, 54260, 20315, 7213, 7201, 44779, 3069, 235210, 12483, 32, 23173, 137377, 101470, 190, 159308, 40653, 29659, 54260, 15388, 10676, 9424, 141943, 105330, 966, 59929, 1019, 2203, 702, 382, 2203, 190, 2203, 190, 292, 30994, 292, 190, 292, 7508, 758, 7508, 758, 190, 292, 966, 190, 292, 564, 52196, 363, 2451, 190, 292, 382, 963, 1369, 190, 292, 427, 2451, 190, 292, 7085, 966, 1369, 190, 292, 702, 1369, 190, 292, 209, 1369, 190, 292, 534, 2451, 201, 292, 1892, 2588, 292, 702, 2451, 190, 292, 6281, 173245, 2451, 190, 292, 534, 116597, 2451, 190, 292, 6370, 758, 1369, 190, 292, 534, 292, 190, 6, 7961, 2203, 190, 6, 7961, 190, 292, 209, 2451, 190, 292, 427, 1369, 190, 292, 616, 2451, 190, 292, 85067, 5, 4838, 6235, 33716, 59461, 37826, 6235, 2648, 23173, 23741, 56170, 21066, 48904, 64213, 702, 564, 54260, 2865, 44779, 5, 6, 150839, 40096, 1751, 75230, 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 ]
[ 56170, 21066, 48904, 56169, 190, 564, 54260, 2865, 44779, 5, 163139, 21066, 564, 54260, 2865, 44779, 6428, 23173, 7369, 125523, 7201, 23173, 21066, 48904, 64213, 32, 17168, 17288, 2932, 112711, 64213, 95455, 3069, 8903, 18406, 159308, 40653, 29659, 54260, 15388, 1285, 1751, 159696, 1644, 2451, 483, 292, 758, 2451, 483, 138, 1369, 483, 1211, 59811, 2451, 382, 6, 1211, 1369, 382, 201, 1369, 382, 6, 1211, 1031, 1530, 1369, 361, 361, 1369, 361, 6, 1211, 190, 1369, 361, 6, 1211, 201, 1369, 2289, 2485, 1369, 305, 6, 1211, 361, 1369, 305, 305, 2451, 305, 6, 1211, 190, 1369, 361, 6, 1211, 137116, 1369, 483, 6, 1211, 201, 2451, 106, 6, 1211, 483, 1369, 483, 6, 1211, 190, 905, 787, 966, 1369, 382, 6, 1211, 190, 1369, 116, 6, 1211, 382, 1369, 382, 6, 1211, 2289, 1662, 2451, 361, 6, 1211, 305, 2451, 138, 361, 2451, 361, 6, 1211, 15124, 5, 1837, 1369, 305, 6, 1211, 382, 1369, 201, 292, 305, 1369, 305, 1054, 361, 1369, 305, 6, 1211, 97608, 1369, 483, 292, 138, 1369, 138, 6, 1211, 483, 2451, 201, 292, 305, 2451, 483, 6, 1211, 6, 115459, 2451, 382, 6, 1211, 1369, 201, 6, 1211, 138, 1369, 138, 292, 361, 1369, 5, 963, 2451, 361, 292, 758, 1369, 190, 6, 1211, 361, 1369, 116, 2451, 361, 1369, 361, 6, 1211, 2289, 2592, 1369, 305, 292, 305, 1369, 361, 361, 1369, 106, 6, 1211, 483, 1369, 305, 292, 361, 1369, 483, 292, 116, 1369, 483, 6, 1211, 138, 2451, 483, 6, 1211, 201, 2451, 483, 6, 1211, 5, 758, 2451, 382, 6, 1211, 138, 1369, 382, 201, 1369, 382, 292, 758, 1369, 382, 6, 165160, 1369, 361, 6, 1211, 201, 1369, 361, 190, 2451, 361, 6, 1211, 305, 1369, 361, 6, 1211, 2861, 2681, 1369, 305, 190, 1369, 305, 292, 910, 1369, 305, 6, 1211, 361, 2489, 5, 2205, 1751, 104855, 220224, 49008, 6235, 159696, 1211, 1285, 67882, 24621, 2200, 201, 114955, 5, 6, 5, 26, 4852, 54260, 49008, 23173, 54260, 5666, 130991, 4838, 38087, 194734, 2200, 190, 114955, 5, 163139, 21066, 6, 149364, 4852, 68558, 220224, 49008, 6235, 159696, 1211, 13342, 235210, 12483, 32, 1819, 5, 2205, 220273, 28320, 220224, 49008, 6235, 159696, 1211, 201, 6, 54260, 23405, 44779, 2200, 138, 874, 54260, 2648, 44779, 5, 4151, 113889, 4667, 4852, 54260, 49008, 6, 130991, 2205, 220273, 28320, 19532, 54260, 1211, 6, 54260, 23405, 44779, 2200, 201, 874, 54260, 2648, 44779, 5, 163139, 21066, 16580, 83182, 220224, 49008, 6235, 159696, 1211, 3069, 235210, 12483, 32, 25207, 48974, 48904, 64213, 95455, 6, 23173, 137377, 101470, 159308, 40653, 29659, 54260, 15388, 1285, 1751, 159696, 1644, 17853, 2702, 11, 1126, 107947, 2451, 418, 483, 305, 305, 107947, 2451, 209, 2702, 3373, 3373, 2702, 1126, 2451, 304, 2451, 534, 483, 2203, 106, 382, 382, 292, 116, 292, 209, 36419, 4151, 119859, 57619, 1211, 95455, 6, 23173, 137377, 101470, 159308, 40653, 29659, 54260, 15388, 1285, 1751, 159696, 1644, 29485, 1019, 5, 363, 6, 5, 304, 1369, 116, 292, 427, 2203, 305, 292, 534, 1369, 138, 292, 427, 2203, 361, 292, 534, 1369, 201, 292, 427, 2203, 382 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 292, 534, 1369, 190, 292, 427, 2203, 483, 292, 4541, 966, 6, 5, 910, 1369, 116, 292, 616, 2203, 305, 292, 702, 1369, 138, 292, 616, 2203, 361, 292, 702, 2451, 201, 292, 616, 2203, 382, 292, 702, 1369, 190, 292, 616, 2203, 483, 292, 702, 14556, 12975, 5, 2205, 1470, 6, 95494, 40920, 109316, 220224, 49008, 6235, 159696, 1211, 427, 6319, 39083, 9221, 18415, 43449, 54260, 93497, 5, 710, 120467, 109316, 37826, 3069, 7369, 29659, 19532, 75230, 2702, 139449, 201, 43449, 54260, 93497, 4, 2200, 6, 113889, 133324, 46598, 125523, 363, 5, 163139, 21066, 43449, 54260, 93497, 220224, 49008, 6235, 90536, 18406, 2205, 6, 95494, 40920, 109316, 32, 963, 5, 4838, 564, 47351, 3056, 27702, 3131, 57277, 49008, 3120, 702, 119055, 26612, 2932, 239162, 1211, 5, 230764, 4151, 48706, 48904, 42180, 506, 64260, 18225, 120202, 8903, 153222, 109636, 2882, 483, 119055, 26612, 2932, 239162, 1211, 2200, 3069, 8903, 153222, 109636, 2882, 361, 119055, 26612, 2932, 239162, 1211, 5, 119718, 710, 21066, 119055, 26612, 2932, 239162, 1211, 220224, 49008, 1470, 159696, 4484, 8903, 7201, 29766, 1211, 6, 238144, 16932, 32, 5, 2592, 1369, 138, 292, 534, 1369, 201, 292, 427, 2451, 382, 292, 534, 1369, 305, 292, 5035, 1819, 2451, 305, 292, 702, 2451, 201, 2451, 616, 2451, 292, 5035, 2681, 1369, 138, 292, 427, 2451, 483, 292, 427, 2451, 361, 292, 534, 1369, 5035, 2489, 2451, 483, 292, 616, 2451, 104, 6, 26, 418, 2451, 292, 4541, 1530, 2451, 483, 292, 953, 1369, 116, 292, 534, 2451, 138, 2451, 423, 1369, 382, 292, 4541, 2485, 2451, 201, 292, 534, 2451, 305, 292, 702, 2451, 758, 2451, 92134, 418, 1369, 138, 292, 534, 1369, 361, 292, 534, 1369, 483, 292, 387, 2451, 201, 6281, 1837, 1369, 382, 6, 7961, 361, 2451, 702, 2451, 483, 2451, 702, 1369, 382, 292, 427, 2203, 138, 292, 534, 13342, 8903, 18406, 2200, 6, 23173, 137377, 101470, 159308, 40653, 29659, 54260, 49209, 12415, 1751, 159696, 1644, 483, 91977, 2451, 483, 292, 423, 2451, 305, 292, 427, 2451, 361, 292, 5847, 363, 2451, 382, 292, 423, 2451, 292, 616, 2451, 305, 292, 5847, 1530, 2451, 361, 292, 423, 2451, 382, 292, 611, 2451, 483, 729, 2451, 382, 292, 6370, 2485, 5, 363, 2451, 305, 292, 702, 1369, 305, 292, 6370, 966, 2451, 361, 292, 702, 2451, 1369, 361, 292, 6849, 1662, 1369, 616, 2451, 382, 292, 423, 1369, 382, 292, 1369, 382, 292, 7076, 1837, 5, 304, 1369, 305, 6, 1211, 382, 2451, 483, 6, 1211, 6, 156960, 2451, 361, 6, 1211, 12661, 190, 1369, 361, 6, 1211, 2861, 963, 1369, 382, 6, 1211, 1369, 382, 292, 483, 1369, 305, 6, 1211, 382, 1369, 382, 6, 1211, 3217, 2592, 1369, 2451, 292, 106, 2203, 483, 6, 1211, 361, 2451, 292, 611, 2203, 305, 6, 1211, 483, 2451, 305, 292, 423, 292, 6, 1211, 2451, 483, 292, 543, 292, 382, 6, 1211, 483, 2451, 483, 292, 729, 2203, 483, 292, 543, 2203, 483, 6, 1211, 305, 292, 483, 292, 1126, 5, 418, 1369, 305, 305, 1369, 305, 2451, 966, 1369, 305, 382, 2451, 305, 292, 5, 758, 2451, 361 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 305, 2451, 361, 361, 1369, 361, 6, 1211, 2451, 361, 1211, 5, 1126, 2451, 305, 6, 1211, 1369, 361, 6, 1211, 382, 2451, 382, 6, 1211, 138, 2451, 483, 6, 1211, 3217, 2681, 2489, 5, 3373, 26, 4852, 54260, 49008, 6235, 21066, 75230, 15388, 305, 4838, 6093, 137377, 71804, 49008, 5, 3120, 147582, 22426, 1644, 47351, 57973, 7746, 2808, 75230, 111137, 506, 75230, 18406, 6, 76776, 4667, 483, 4838, 6093, 137377, 71804, 49008, 5, 4151, 113889, 4667, 57973, 7746, 6, 23173, 71577, 195054, 165592, 57277, 4838, 6093, 137377, 71804, 49008, 5, 163139, 21066, 4838, 6093, 137377, 71804, 49008, 147582, 12483, 125523, 32, 1819, 5, 2205, 47833, 1470, 75230, 97634, 164874, 220224, 49008, 6235, 159696, 1211, 382, 6, 149364, 4852, 68558, 2200, 3373, 54260, 710, 49008, 19532, 54260, 1211, 113889, 4667, 2861, 4151, 113889, 4667, 220224, 49008, 206105, 6, 149364, 4852, 68558, 19532, 75230, 2702, 2200, 3373, 26, 4852, 54260, 49008, 6235, 90536, 18406, 17160, 75230, 4852, 483, 6, 149364, 4852, 68558, 5, 163139, 21066, 6, 149364, 4852, 47351, 220224, 49008, 19532, 75230, 2702, 38, 12231, 3131, 159696, 2442, 123073, 10339, 21106, 1211, 3120, 3069, 8903, 18406, 2200, 6, 23173, 137377, 101470, 5, 2681, 2451, 305, 292, 702, 2451, 483, 292, 5847, 2592, 1369, 305, 292, 616, 2451, 361, 292, 616, 2451, 382, 292, 616, 2451, 483, 292, 6370, 1837, 1369, 305, 292, 423, 2451, 361, 292, 423, 1369, 382, 292, 423, 2451, 483, 292, 6281, 2485, 2451, 361, 292, 611, 1369, 382, 292, 611, 2451, 483, 292, 6849, 2489, 2451, 382, 292, 729, 2451, 483, 292, 7076, 165826, 5, 963, 2451, 7961, 361, 292, 209, 1369, 382, 292, 209, 963, 5, 1662, 1369, 116, 292, 534, 1369, 138, 292, 534, 2451, 201, 292, 534, 1369, 190, 292, 534, 2451, 305, 292, 534, 2451, 361, 292, 534, 1369, 382, 292, 534, 2451, 483, 292, 4541, 1530, 2451, 138, 292, 427, 1369, 201, 292, 427, 1369, 190, 292, 427, 1369, 305, 292, 427, 2451, 361, 292, 427, 2451, 382, 292, 427, 2451, 483, 292, 5035, 617, 1369, 190, 6, 1211, 305, 1369, 382, 6, 1211, 2289, 11663, 1369, 305, 6, 1211, 190, 2451, 361, 6, 1211, 190, 1369, 382, 6, 1211, 190, 2451, 483, 6, 1211, 6, 124525, 1369, 305, 6, 1211, 201, 2442, 2451, 483, 292, 5, 966, 2451, 361, 6, 1211, 138, 1369, 382, 6, 1211, 138, 2451, 483, 6, 1211, 6, 135527, 1369, 382, 6, 1211, 116, 1369, 483, 7508, 787, 1126, 1369, 483, 6, 1211, 38245, 2451, 361, 3569, 1369, 382, 6, 1211, 483, 2451, 483, 6, 1211, 6, 151309, 1369, 116, 6, 1211, 138, 2451, 138, 6, 1211, 2451, 201, 6, 1211, 382, 2451, 190, 6, 1211, 382, 2451, 305, 6, 1211, 382, 2451, 361, 382, 1369, 382, 6, 1211, 382, 2451, 5, 363, 2451, 138, 6, 1211, 361, 2451, 201, 6, 1211, 361, 1369, 190, 6, 1211, 361, 1369, 305, 361, 1369, 361, 2451, 361, 76067, 2203, 6, 1211, 305, 292, 6, 1211, 483, 2451, 361, 292, 702, 2203, 305, 292, 201, 6, 1211, 77816, 1369, 483, 6, 1211, 2203, 305, 2451, 190, 292, 616, 13342, 8903, 18406 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6, 23173, 137377, 101470, 418, 134693, 2485, 292, 6, 2050, 292, 483, 1819, 2203, 6, 2050, 6, 1211, 138, 2592, 2203, 6, 2050, 6, 1211, 14905, 1369, 6, 2050, 6, 1211, 305, 1530, 6, 2050, 292, 6, 124525, 963, 292, 101, 292, 616, 1662, 292, 2203, 292, 70351, 292, 6, 2050, 292, 1324, 2203, 6, 2050, 292, 611, 963, 2203, 6, 2050, 292, 7085, 304, 2451, 106, 6, 1211, 116, 292, 138, 1369, 116, 6, 1211, 138, 6, 1211, 201, 1369, 138, 6, 1211, 201, 6, 1211, 190, 2451, 201, 6, 1211, 190, 6, 1211, 305, 1369, 190, 6, 1211, 305, 6, 1211, 121908, 1369, 382, 292, 361, 6, 1211, 305, 2451, 483, 292, 382, 6, 1211, 361, 1369, 305, 292, 483, 292, 138, 2451, 361, 292, 138, 6, 1211, 382, 1369, 483, 292, 483, 6, 1211, 3569, 418, 1369, 116, 6, 1211, 116, 6, 1211, 116, 1369, 138, 292, 138, 6, 1211, 138, 2451, 201, 6, 1211, 201, 6, 1211, 201, 2451, 190, 6, 1211, 190, 6, 1211, 190, 1369, 305, 6, 1211, 305, 6, 1211, 2289, 617, 1369, 116, 292, 138, 292, 305, 1369, 138, 292, 201, 292, 483, 1369, 201, 292, 190, 292, 427, 1369, 190, 292, 305, 292, 423, 1369, 305, 292, 361, 292, 119386, 5, 1470, 75230, 33225, 364, 75230, 6293, 3120, 4838, 10339, 26612, 216501, 220224, 49008, 74806, 57277, 49008, 201, 657, 59929, 96256, 75230, 97634, 2702, 5, 1751, 109636, 16932, 220224, 49008, 6, 23173, 54260, 23405, 73381, 29766, 1211, 125523, 382, 657, 59929, 96256, 75230, 97634, 2702, 5, 6, 113889, 12984, 56170, 71804, 35465, 22753, 49008, 483, 657, 59929, 96256, 75230, 97634, 2702, 4838, 159696, 4484, 8903, 7201, 29766, 1211, 163139, 21066, 657, 59929, 96256, 75230, 97634, 2702, 220224, 49008, 125523, 6235, 90536, 18406, 1470, 75230, 33225, 364, 75230, 6293, 3120, 4151, 10339, 26612, 216501, 32, 1019, 5, 6681, 4151, 10213, 82576, 206994, 2205, 32899, 216501, 220224, 49008, 1470, 75230, 2702, 2932, 21660, 54260, 4944, 13497, 6235, 119718, 29766, 1211, 483, 32054, 75230, 12483, 2200, 361, 874, 114436, 4, 3373, 26, 2648, 23173, 33225, 125523, 6, 193120, 119055, 53414, 116, 2808, 75230, 2702, 8300, 54260, 30741, 109226, 5, 163139, 21066, 6, 149364, 4852, 68558, 6, 159696, 67873, 220224, 1211, 1470, 75230, 2702, 2932, 21660, 54260, 4944, 13497, 32, 1126, 5, 2205, 4838, 43649, 21106, 220224, 49008, 74806, 57277, 49008, 611, 45521, 38054, 5, 483, 220224, 49008, 6235, 159696, 1211, 78683, 25207, 2200, 1285, 40653, 125897, 220224, 49008, 6235, 159696, 1211, 17824, 75230, 4113, 5, 3069, 4151, 206994, 220224, 49008, 26612, 159696, 4484, 76961, 17824, 75230, 4113, 45521, 38054, 2200, 116, 6, 78683, 25207, 5, 163139, 21066, 45521, 38054, 220224, 49008, 4838, 159696, 4484, 3069, 35189, 206994, 32, 963, 5, 2205, 4838, 119055, 75230, 3111, 23405, 95564, 119718, 23173, 2882, 21106, 56170, 206994, 6093, 564, 75230, 2882, 18225, 387, 506, 54260, 168155, 5, 1470, 75230, 33225, 7369, 29659, 1211, 67882, 710, 37826, 18225, 1470, 75230, 2702, 8903, 188301, 2882, 361, 364, 54260, 168155, 2200, 2808, 75230, 33225, 17953, 104855, 3120, 163139, 35189, 8903, 28317, 2882, 125523, 305, 364, 54260, 168155, 5, 163139, 21066, 364, 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 ]
[ 168155, 6, 94741, 63020, 51723, 125523, 1470, 75230, 2702, 188301, 1211, 32, 14889, 4151, 22492, 57619, 1211, 95455, 3069, 8903, 18406, 2205, 4151, 17824, 4113, 69106, 3120, 9424, 39083, 1211, 78278, 7085, 617, 7201, 1369, 209, 7508, 305, 1369, 534, 6, 1211, 305, 1369, 427, 292, 305, 1369, 702, 6, 1211, 305, 1369, 616, 6, 1211, 137116, 1369, 611, 292, 138, 1369, 702, 6, 1211, 305, 1369, 427, 6, 1211, 382, 1369, 543, 6, 1211, 116, 1369, 209, 6, 1211, 4068, 363, 1369, 305, 6, 1211, 209, 2451, 305, 6, 1211, 534, 1369, 305, 6, 1211, 427, 2451, 305, 6, 1211, 702, 2451, 305, 6, 1211, 6370, 966, 2451, 534, 292, 361, 1369, 616, 6, 1211, 190, 1369, 427, 6, 1211, 201, 2451, 534, 6, 1211, 483, 1369, 209, 6, 1211, 382, 1369, 534, 292, 305, 2203, 423, 292, 5, 304, 1369, 423, 292, 106, 1369, 423, 6, 1211, 116, 1369, 106, 292, 201, 1369, 423, 292, 5, 173245, 2451, 106, 6, 1211, 423, 1369, 116, 292, 423, 2451, 6, 1211, 423, 1369, 2451, 190, 6281, 12975, 5, 1285, 67882, 24621, 37826, 27702, 46685, 20911, 4, 36324, 2205, 1751, 104855, 220224, 49008, 6235, 90536, 18406, 17160, 75230, 4852, 138, 34076, 48350, 6093, 2200, 22753, 37826, 6235, 4484, 75230, 23741, 125523, 4838, 33718, 7611, 34076, 48350, 6093, 4, 95455, 364, 54260, 16803, 1530, 1751, 46545, 5, 163139, 21066, 34076, 48350, 6093, 220224, 49008, 182261, 56170, 47351, 2205, 1751, 104855, 32, 963, 5, 4838, 12023, 49008, 10918, 40920, 44478, 37826, 6, 23173, 75230, 2702, 139449, 3120, 3523, 54260, 46598, 113743, 29659, 218241, 138, 25207, 24621, 44779, 7265, 151614, 110317, 2200, 3120, 1285, 6, 21106, 18415, 113743, 29659, 218241, 1211, 37826, 7369, 6, 23173, 75230, 2702, 139449, 611, 21776, 24621, 44779, 5, 163139, 21066, 21776, 24621, 44779, 37826, 4151, 12023, 49008, 10918, 40920, 44478, 23173, 75230, 2702, 139449, 3120, 1285, 113743, 29659, 218241, 1211, 32, 1662, 5, 2205, 4838, 12023, 49008, 2932, 99766, 1211, 220224, 49008, 6235, 159696, 1211, 483, 113743, 29659, 218241, 1211, 5, 2205, 40026, 164461, 37826, 18225, 138, 113743, 29659, 218241, 1211, 6, 139449, 73784, 56170, 710, 40920, 1211, 2200, 874, 26, 506, 64260, 4838, 159696, 4484, 190135, 534, 3523, 54260, 4113, 113743, 29659, 218241, 1211, 5, 163139, 21066, 113743, 29659, 218241, 1211, 43649, 54260, 12483, 182261, 2205, 12890, 49008, 2932, 99766, 1211, 32, 1530, 5, 6, 137218, 20260, 109316, 37826, 6235, 17268, 49008, 305, 1751, 119718, 29771, 51723, 2200, 55242, 50853, 109316, 37826, 6235, 17268, 49008, 616, 1751, 119718, 29771, 51723, 5, 1285, 114955, 57973, 1285, 1751, 119718, 29771, 51723, 4838, 506, 54260, 2865, 8903, 1982, 48775, 40920, 5, 1285, 101296, 24621, 37826, 6235, 225975, 2882, 4, 36324, 55242, 50853, 109316, 37826, 160751, 48775, 40920, 116, 77014, 14857, 119718, 29771, 51723, 5, 92500, 22753, 37826, 220224, 6, 23173, 75230, 2702, 8903, 119718, 29766, 33225, 5, 163139, 21066, 8947, 1982, 23173, 4113, 1751, 119718, 29771, 51723, 57973, 1285, 16580, 83182, 160751, 48775, 40920, 32, 5, 5847, 4838, 10339, 26612, 216501, 37826, 427, 17824, 75230, 36419, 1470, 75230, 97634, 2702, 2200, 382, 19302, 114436, 4113, 4, 95298, 304, 17824, 75230, 36419, 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 ]
[ 97634, 2702, 220224, 49008, 4838, 159696, 4484, 2205, 21776, 87311, 13497, 5, 163139, 21066, 1470, 75230, 97634, 2702, 206994, 1211, 32, 25207, 48974, 112711, 64213, 95455, 19532, 137377, 101470, 2205, 7508, 6093, 97995, 171428, 3120, 9424, 39083, 1211, 7501, 387, 9199, 2702, 11, 10, 1019, 292, 209, 292, 73294, 6, 114997, 292, 19251, 2203, 423, 292, 543, 2451, 953, 292, 387, 292, 427, 292, 423, 292, 423, 292, 611, 292, 209, 2451, 729, 292, 953, 2203, 702, 292, 387, 2203, 423, 292, 729, 292, 209, 292, 729, 2451, 702, 292, 209, 292, 427, 2203, 423, 292, 543, 2203, 209, 292, 543, 2485, 2451, 387, 2451, 423, 292, 953, 2451, 209, 292, 953, 1369, 543, 292, 387, 2451, 423, 292, 387, 2203, 209, 292, 7085, 210257, 5, 136473, 2451, 543, 292, 953, 1369, 427, 292, 387, 1369, 427, 292, 543, 1369, 534, 292, 387, 1369, 616, 292, 729, 2451, 729, 2203, 534, 292, 427, 6, 7961, 292, 953, 2203, 427, 292, 616, 2203, 611, 292, 387, 1369, 292, 953, 2203, 702, 292, 611, 2203, 729, 292, 387, 1369, 616, 292, 387, 2203, 616, 292, 543, 2203, 543, 292, 387, 1369, 209, 292, 423, 292, 423, 292, 116, 2203, 953, 292, 118802, 5, 10184, 86733, 2702, 220224, 49008, 4838, 159696, 4484, 8903, 3131, 119718, 905, 51723, 1470, 75230, 33225, 6, 448, 2205, 361, 7213, 7201, 44779, 2200, 35189, 113889, 4667, 220224, 49008, 6, 23173, 75230, 2702, 8903, 3131, 119718, 905, 51723, 125523, 427, 7213, 7201, 44779, 5, 56170, 76776, 40920, 57973, 4852, 18167, 101251, 8903, 75290, 2882, 611, 7213, 7201, 44779, 5, 1285, 40653, 125897, 220224, 49008, 6235, 90536, 18406, 230764, 26612, 4269, 48904, 89930, 6, 76776, 40920, 4, 9747, 3069, 364, 161577, 1285, 23050, 64213, 5, 163139, 21066, 7213, 7201, 44779, 220224, 49008, 2205, 4151, 76776, 40920, 6235, 90536, 18406, 1470, 75230, 33225, 6, 448, 32, 963, 5, 3069, 6, 47351, 123736, 30473, 123073, 3056, 6, 130991, 6, 47351, 1470, 75230, 2702, 21066, 23964, 3120, 206994, 6093, 5, 2205, 26612, 7213, 6293, 57973, 7746, 6, 23173, 54260, 23405, 48350, 21660, 2882, 382, 874, 114436, 2200, 361, 32054, 75230, 12483, 2200, 2205, 4151, 3131, 32097, 220224, 49008, 6235, 159696, 1211, 387, 7369, 16932, 5, 163139, 21066, 6, 149364, 4852, 68558, 192183, 12483, 7746, 125523, 6, 23173, 54260, 54561, 21660, 1211, 2205, 4151, 7213, 6293, 32, 1662, 5, 1470, 10339, 54260, 6093, 37826, 19532, 75230, 2702, 2932, 21660, 75230, 15388, 1285, 23050, 28320, 5, 2205, 4151, 23050, 7611, 220224, 49008, 8903, 159696, 1211, 611, 10184, 3131, 12, 201, 23847, 75230, 36419, 10184, 3131, 4, 190, 19302, 114436, 4113, 2200, 1285, 40653, 125897, 220224, 49008, 8903, 159696, 1211, 162726, 64260, 31623, 13159, 5, 163139, 21066, 162726, 64260, 31623, 46598, 220224, 49008, 6235, 159696, 1211, 32, 11648, 13342, 8903, 18406, 2200, 6, 23173, 137377, 101470, 5, 10945, 6, 1211, 483, 176311, 292, 101, 382, 1549, 292, 6, 2050, 6, 1211, 361, 2681, 292, 6, 2050, 6, 1211, 1892, 16028, 292, 209, 292, 564, 966, 2203, 427, 292, 564, 910, 2203, 616, 292, 564, 758, 2203, 702, 292, 6, 2050, 617, 292, 611, 6, 7961, 564, 5, 304 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1369, 190, 6, 1211, 209, 292, 8983, 1369, 138, 292, 427, 292, 138, 1369, 292, 702, 292, 116, 2451, 106, 292, 616, 6, 1211, 22410, 2451, 483, 6, 1211, 729, 292, 387, 1369, 382, 6, 1211, 427, 292, 953, 1369, 6, 1211, 534, 292, 611, 1369, 305, 7508, 209, 292, 729, 1369, 190, 292, 702, 292, 543, 2451, 6, 1211, 91532, 2451, 483, 6, 1211, 190, 292, 106, 1369, 382, 6, 1211, 190, 292, 116, 1369, 361, 6, 1211, 292, 138, 1369, 305, 6, 1211, 190, 292, 201, 1369, 190, 6, 1211, 190, 292, 1892, 617, 1369, 138, 292, 138, 292, 382, 1369, 201, 292, 201, 292, 534, 2451, 190, 292, 190, 292, 616, 1369, 305, 292, 305, 292, 729, 2451, 361, 292, 361, 292, 108042, 5, 2205, 4838, 3373, 142429, 220224, 49209, 6235, 119718, 92605, 46053, 534, 564, 23173, 91275, 54260, 46685, 2200, 382, 5332, 22426, 22849, 54260, 46685, 4, 29771, 75578, 138, 6, 21106, 18415, 564, 23173, 91275, 54260, 46685, 6, 94741, 63020, 18225, 1470, 75230, 2702, 3131, 5666, 54260, 35465, 5, 163139, 21066, 80839, 40920, 1982, 54260, 46685, 6, 159696, 67873, 43449, 54260, 18406, 2205, 3373, 142429, 32, 1019, 5, 98478, 1751, 104855, 220224, 49008, 6235, 119718, 92605, 46053, 138, 6, 78683, 93509, 91275, 54260, 46685, 2200, 201, 6, 238144, 110970, 22849, 54260, 46685, 5, 119055, 12483, 14856, 37826, 125523, 6681, 39293, 56169, 1470, 6235, 119718, 710, 36419, 9424, 39083, 46654, 75230, 24621, 50856, 1982, 54260, 46685, 4, 220224, 49008, 3069, 235210, 12483, 6235, 159696, 1211, 953, 564, 54260, 2865, 44779, 5, 163139, 21066, 46654, 75230, 24621, 91275, 54260, 46685, 506, 64260, 18225, 56170, 39293, 56169, 32, 1126, 5, 2205, 131397, 2932, 99766, 1211, 57973, 1285, 7213, 44478, 56170, 39293, 56169, 17824, 24295, 119718, 23173, 2932, 230764, 387, 1982, 54260, 28320, 5, 3373, 26, 4852, 54260, 49008, 6235, 159696, 1211, 382, 564, 54260, 28320, 30109, 75230, 2882, 4, 305, 564, 54260, 28320, 117902, 9719, 2648, 29766, 1211, 4, 138, 564, 54260, 28320, 46685, 1211, 2200, 230764, 1285, 40653, 125897, 564, 54260, 28320, 220224, 49008, 6235, 159696, 1211, 21422, 69801, 13159, 5, 163139, 21066, 1982, 54260, 28320, 7265, 21422, 69801, 13159, 220224, 49008, 6235, 159696, 1211, 32, 963, 5, 95455, 5, 3523, 54260, 4113, 9424, 238144, 29659, 218241, 125897, 364, 75230, 4852, 119055, 29060, 57973, 729, 119055, 75230, 5666, 109226, 2808, 75230, 33225, 186046, 16932, 6, 159696, 67873, 220224, 1211, 190, 119055, 75230, 5666, 109226, 4, 1470, 75230, 33225, 7369, 29659, 1211, 43649, 218241, 305, 119055, 75230, 5666, 109226, 5, 163139, 21066, 119055, 75230, 5666, 109226, 6, 159696, 67873, 220224, 1211, 1470, 75230, 33225, 9424, 238144, 28320, 43649, 218241, 32, 1662, 5, 2205, 4838, 46711, 75322, 238144, 220224, 49008, 6235, 159696, 1211, 543, 6, 149364, 4852, 68558, 5, 1470, 75230, 33225, 120202, 105235, 1644, 4852, 54260, 49008, 6, 23173, 75230, 2702, 361, 6, 149364, 4852, 68558, 2200, 206105, 220224, 49008, 6, 23173, 54260, 1211, 2205, 46711, 75322, 238144, 5, 14004, 56169, 220224, 49008, 56170, 47351, 387, 6, 149364, 4852, 68558, 5, 163139, 21066, 6, 149364, 4852, 68558, 220224, 49008, 6, 23173, 54260, 1211, 2205, 23822, 75322, 238144, 1470, 75230, 33225 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 120202, 105235, 1644, 32, 7201, 23173, 16629, 2648, 65482, 1470, 75230, 7201, 119859, 1982, 13159, 14773, 418, 5, 2205, 4838, 6, 119859, 48775, 163177, 220224, 49008, 74806, 57277, 49008, 361, 46711, 129071, 29766, 1211, 2200, 1470, 75230, 33225, 506, 75230, 6293, 220224, 49008, 74806, 57277, 49008, 116, 46711, 129071, 29766, 1211, 5, 163139, 21066, 46711, 129071, 29766, 1211, 3056, 6235, 159696, 1211, 13342, 235210, 12483, 32, 5442, 2205, 1470, 54260, 1211, 6, 119859, 48775, 163177, 220224, 49008, 74806, 57277, 49008, 361, 46711, 129071, 29766, 1211, 4, 2205, 9424, 238144, 28320, 4852, 54260, 49008, 74806, 57277, 49008, 7265, 116, 46711, 129071, 23173, 1211, 28415, 5, 163139, 21066, 46711, 129071, 29766, 1211, 220224, 49008, 8903, 3131, 57277, 49008, 2205, 564, 54260, 20315, 4269, 23173, 165592, 81829, 3069, 235210, 12483, 32, 7961, 1644, 54260, 4852, 17310, 35596, 59919, 12, 82414, 5, 2205, 6, 88660, 137377, 6093, 40096, 710, 159696, 163139, 33716, 95494, 23741, 1211, 37826, 18225, 6, 23173, 75230, 2702, 8903, 3131, 93449, 382, 23822, 129071, 29766, 1211, 4, 2205, 4838, 874, 12666, 14325, 119718, 54196, 95494, 23741, 7265, 138, 46711, 129071, 29766, 1211, 163139, 57619, 123329, 5, 119718, 710, 21066, 46711, 129071, 29766, 1211, 37826, 18225, 6, 23173, 75230, 2702, 8903, 3131, 93449, 3069, 4151, 206994, 32, 1644, 54260, 4852, 17310, 1369, 138, 292, 382, 2858, 6, 35596, 59919, 12, 6, 2050, 617, 5, 230764, 1470, 67882, 16629, 49008, 16803, 48904, 42180, 220224, 49008, 6235, 159696, 1211, 534, 17824, 75230, 36419, 46711, 129071, 29766, 1211, 2200, 19302, 54260, 23269, 220224, 49008, 6235, 159696, 1211, 7265, 305, 163139, 57619, 123329, 5, 163139, 21066, 46711, 129071, 29766, 1211, 4852, 54260, 49008, 6235, 159696, 1211, 230764, 4151, 67882, 16629, 49008, 16803, 48904, 42180, 32, 758, 5, 564, 54260, 2050, 6, 215629, 19302, 21660, 6093, 56170, 6, 47351, 895, 87442, 90848, 119718, 142170, 206994, 1211, 190, 46711, 129071, 29766, 1211, 4, 2200, 2205, 1285, 6, 61541, 35189, 206994, 1211, 7265, 201, 46711, 129071, 29766, 1211, 28415, 5, 163139, 21066, 23822, 129071, 29766, 1211, 37826, 18225, 6, 23173, 75230, 2702, 8903, 3131, 93449, 3069, 4151, 206994, 32, 8318, 7201, 23173, 16629, 2648, 65482, 1470, 75230, 7201, 119859, 1982, 13159, 418, 5, 564, 54260, 2050, 564, 75230, 12483, 4838, 33718, 151227, 206994, 1211, 9424, 238144, 19302, 54260, 23269, 657, 29771, 88660, 87311, 15231, 119718, 1211, 12, 2808, 54260, 59461, 620, 4113, 22426, 2882, 382, 119055, 48904, 29771, 16747, 44779, 4, 4151, 9424, 238144, 16932, 7265, 138, 119055, 208048, 16747, 44779, 46685, 5, 163139, 21066, 119055, 208048, 16747, 44779, 206994, 1211, 564, 54260, 2050, 564, 75230, 12483, 10676, 33718, 151227, 32, 5442, 2205, 4838, 3373, 42695, 506, 506, 75230, 4852, 220224, 49008, 6235, 159696, 1211, 427, 874, 114436, 90848, 119718, 53414, 2200, 6428, 23173, 46685, 48775, 119718, 53414, 220224, 49008, 6235, 159696, 1211, 7265, 190, 163139, 57619, 123329, 5, 163139, 21066, 6, 48775, 119718, 53414, 220224, 49008, 8903, 159696, 1211, 2205, 3373, 42695, 506, 506, 75230, 4852, 32, 363, 5, 2205, 4838, 43649, 64260, 6, 94741, 63020, 220224, 1211, 387, 131397, 8903, 1982, 54260, 2648, 13159, 5, 182261, 220224, 49008, 56170, 47351, 611, 131397, 1211, 4, 95298, 138, 131397, 1211, 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 ]
[ 26612, 18406, 7243, 6319, 54260, 1211, 1470, 54260, 2932, 65482, 160751, 54260, 2648, 13159, 5, 119718, 710, 21066, 131397, 8903, 1982, 54260, 2648, 13159, 6, 94741, 63020, 18225, 1470, 75230, 7201, 1982, 75230, 12483, 32, 617, 5, 3373, 57277, 3131, 4, 9934, 29771, 36326, 2200, 15622, 39293, 4484, 57973, 6235, 144581, 18406, 1751, 119718, 23173, 26394, 6, 137218, 8903, 2648, 13159, 5, 2702, 57277, 3131, 37826, 132025, 8903, 144581, 18406, 138, 3944, 16932, 4, 6, 170355, 36326, 6428, 2200, 15622, 39293, 4484, 2289, 3120, 1285, 132025, 8903, 144581, 1982, 65482, 4231, 48904, 16870, 13159, 37826, 1285, 67882, 24621, 423, 3944, 16932, 1470, 54260, 5666, 190135, 230764, 4944, 92605, 2200, 1285, 21776, 29659, 37826, 22753, 40653, 8903, 212484, 2882, 73784, 8947, 1211, 5, 163139, 21066, 6, 69181, 89184, 48904, 16870, 13159, 220224, 49008, 6235, 90536, 18406, 73784, 8947, 1211, 32, 758, 5, 2205, 4838, 3373, 42695, 506, 506, 75230, 4852, 43649, 54260, 12483, 201, 21374, 4667, 95494, 7201, 13159, 2200, 138, 19302, 54260, 35189, 95494, 7201, 13159, 5, 3120, 4151, 9424, 35596, 48775, 28726, 364, 40096, 18225, 3069, 8903, 3131, 93449, 305, 21374, 4667, 95494, 7201, 13159, 92500, 305, 19302, 54260, 35189, 95494, 7201, 13159, 5, 163139, 21066, 6, 95494, 7201, 13159, 6, 159696, 67873, 43649, 54260, 1211, 2205, 6, 51437, 26659, 506, 75230, 30473, 910, 5, 4838, 27702, 28726, 1982, 120467, 18415, 37826, 6235, 506, 40096, 9424, 238144, 17806, 12, 4838, 6235, 21066, 87442, 4113, 2200, 26612, 7508, 75230, 18415, 5, 1285, 6235, 21066, 87442, 4113, 37826, 6, 193120, 534, 3944, 16932, 7544, 66317, 2200, 1285, 7508, 75230, 18415, 905, 5, 3120, 10676, 37826, 1285, 27702, 28726, 1982, 120467, 18415, 611, 3944, 16932, 3069, 190135, 2205, 4838, 107189, 4944, 123329, 54260, 2200, 1285, 21776, 29659, 37826, 22753, 1470, 54260, 5666, 190135, 230764, 9934, 75230, 6093, 9719, 66317, 5, 163139, 21066, 7972, 16932, 37826, 22753, 1470, 54260, 5666, 190135, 230764, 163139, 63593, 710, 66317, 32, 966, 5, 2205, 67882, 119859, 109995, 3120, 4838, 6, 88660, 137377, 6093, 40096, 710, 119718, 37826, 18225, 160751, 48775, 40920, 387, 78683, 16803, 16667, 220224, 6293, 4, 1470, 54260, 1211, 70695, 203232, 37826, 3069, 139449, 3120, 67882, 119859, 109995, 6428, 6, 78683, 16803, 16667, 5, 10069, 9424, 238144, 18415, 305, 6, 78683, 16803, 16667, 2200, 1285, 29434, 710, 18415, 190, 6, 78683, 16803, 16667, 5, 163139, 21066, 6, 78683, 16803, 16667, 220224, 6293, 23829, 32, 4944, 21066, 5046, 8300, 238144, 186046, 3056, 116, 874, 39083, 3069, 116, 1369, 116, 1369, 116, 116, 13982, 54260, 117902, 2442, 3056, 138, 874, 39083, 3069, 116, 2451, 1369, 116, 2451, 116, 201, 22426, 29766, 3056, 201, 874, 39083, 3069, 116, 105780, 6293, 117902, 2442, 3056, 190, 874, 39083, 3069, 2451, 116, 190, 2451, 116, 6428, 116, 292, 116, 292, 116, 1054, 142483, 4944, 21066, 363, 874, 39083, 3069, 116, 2451, 116, 45151, 1369, 116, 116, 1369, 116, 7508, 116, 292, 116, 1369, 116, 292, 116, 9934, 116, 6, 1211, 116, 2451, 6, 1211, 116, 2451, 116, 1211, 116, 292, 59811, 1369, 116, 201, 1369, 116, 116, 1369, 97608, 1369, 116, 138, 1369, 116, 116, 1369, 116, 138, 1369, 11585, 2205, 4838, 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 ]
[ 95494, 55823, 43649, 54260, 12483, 9424, 238144, 117902, 2442, 67826, 119718, 1644, 5, 163139, 21066, 67826, 119718, 1644, 43649, 54260, 12483, 95766, 6, 95494, 55823, 32, 758, 5, 2205, 4838, 19302, 59929, 37826, 18225, 6, 23173, 54260, 5666, 190135, 201, 9424, 238144, 149364, 4852, 171433, 125897, 1982, 135118, 5, 105235, 1644, 3069, 5666, 75230, 6293, 6, 159696, 15388, 10676, 6, 47351, 1470, 75230, 7201, 119859, 30750, 43652, 73784, 6, 215629, 364, 54260, 37826, 18225, 6, 23173, 75230, 2702, 8903, 3131, 93449, 190, 119055, 29771, 2932, 16667, 5, 6, 17645, 35465, 119055, 29771, 15388, 3131, 28726, 22426, 2882, 1470, 117902, 2442, 45521, 38054, 5, 163139, 21066, 45521, 38054, 6, 215629, 95455, 364, 54260, 32, 4944, 21066, 963, 1837, 874, 39083, 3069, 138, 76067, 156627, 2451, 138, 6, 1211, 138, 1369, 138, 6, 1211, 138, 6, 1211, 138, 1369, 138, 7508, 138, 292, 138, 6, 1211, 138, 2451, 138, 2442, 138, 7508, 138, 292, 138, 6, 1211, 1031, 201, 292, 116, 1369, 6, 5, 201, 292, 138, 1369, 48413, 2203, 138, 6, 5, 201, 1369, 72516, 2203, 138, 6, 5, 12338, 5, 2205, 17953, 104855, 3120, 187483, 15, 20315, 2050, 106, 28320, 84054, 16, 220224, 49008, 6235, 21066, 75230, 15388, 2808, 88680, 4151, 43649, 40096, 201, 874, 21106, 3069, 29434, 54260, 1470, 6093, 137377, 71804, 49008, 2200, 4151, 1470, 6093, 137377, 1644, 47351, 69355, 132025, 91163, 6093, 2205, 4151, 145813, 54260, 1211, 5, 163139, 21066, 1470, 6093, 137377, 71804, 49008, 220224, 49008, 6235, 21066, 75230, 15388, 2808, 88680, 4151, 43649, 40096, 32, 758, 5, 2205, 7369, 29659, 1211, 874, 54260, 13342, 2932, 220224, 49008, 1285, 114955, 3120, 1285, 160238, 113687, 1211, 8903, 7201, 23173, 1211, 2205, 1470, 75230, 97634, 2702, 5, 1285, 1470, 75230, 97634, 2702, 220224, 49008, 6235, 240863, 12483, 29434, 54260, 238144, 4852, 5, 3373, 26, 4852, 54260, 49008, 8903, 159696, 1211, 190, 29434, 54260, 7972, 183216, 3120, 1470, 75230, 97634, 2702, 5, 163139, 21066, 1470, 75230, 97634, 2702, 7265, 114955, 220224, 49008, 8903, 159696, 1211, 32, 49150, 4944, 21066, 363, 874, 39083, 3069, 6260, 1369, 201, 6, 5, 116, 1369, 116, 201, 2203, 201, 6, 5, 138, 2451, 201, 6, 5, 138, 2451, 138, 6, 5, 80196, 7961, 201, 6, 5, 758, 1369, 134693, 2451, 617, 5, 163139, 21066, 105884, 6093, 147062, 18225, 3069, 201, 119055, 29771, 2932, 16667, 32, 758, 5, 163139, 21066, 117902, 2648, 88660, 159696, 2702, 147062, 18225, 6681, 190, 45521, 38054, 32, 910, 5, 4231, 167622, 109316, 37826, 6235, 4484, 75230, 23741, 6681, 7746, 2200, 6681, 220224, 23269, 9424, 238144, 73375, 35189, 3069, 201, 17288, 23741, 1211, 5, 163139, 21066, 17288, 23741, 1211, 37826, 7369, 6235, 4484, 75230, 23741, 32, 966, 5, 9424, 54260, 12984, 6, 68558, 201, 7508, 54260, 12483, 105884, 44779, 3069, 201, 21776, 20315, 44779, 2205, 1470, 7508, 54260, 5, 163139, 21066, 25207, 20315, 66317, 6, 159696, 67873, 220224, 1211, 32, 4944, 21066, 63620, 5, 5, 363, 874, 39083, 3069, 190, 114997, 26, 107033, 6, 5, 418, 2451, 116, 2451, 116, 6, 114997, 5, 363, 2451, 158296, 201, 2451, 104867, 2203, 148462, 2451, 7961, 129274, 2451, 617, 5, 2205, 1470, 81444, 63020, 37826, 18225 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19532, 54260, 23405, 21660, 75230, 15388, 895, 87442, 25207, 2205, 201, 3523, 54260, 20616, 54260, 168155, 5, 2205, 6, 17645, 35465, 364, 75230, 4852, 220224, 49008, 6235, 159696, 1211, 364, 657, 63593, 22426, 44779, 5, 43649, 13845, 3069, 5666, 75230, 2442, 17537, 1470, 75230, 7201, 119859, 30750, 6, 159696, 15388, 10676, 45955, 1470, 364, 75230, 4852, 37826, 201, 45521, 57619, 16932, 1470, 75230, 33225, 41764, 20961, 16932, 2200, 3069, 190, 45521, 57619, 16932, 2808, 54260, 4667, 29434, 54260, 1751, 97634, 38249, 5, 163139, 21066, 45521, 57619, 16932, 37826, 6428, 59929, 364, 75230, 4852, 32, 2289, 3373, 26, 7201, 29766, 1211, 190, 1470, 75230, 97634, 2702, 5, 148932, 1470, 75230, 97634, 83066, 2882, 45521, 2702, 44779, 564, 43178, 109995, 119718, 710, 21066, 45521, 2702, 44779, 6, 215629, 1285, 1470, 75230, 97634, 2702, 32, 66947, 4944, 21066, 1369, 305, 305, 292, 305, 1369, 15748, 64, 905, 19084, 363, 5, 7544, 16747, 109316, 37826, 6235, 4484, 75230, 23741, 6319, 23269, 109636, 44779, 12, 119718, 710, 21066, 6319, 23269, 22426, 44779, 37826, 7544, 16747, 109316, 6235, 4484, 75230, 23741, 32, 5, 966, 2451, 305, 116, 1369, 6, 5, 758, 2451, 1369, 5, 910, 2451, 138, 1369, 138, 1369, 190, 6, 5, 138, 2451, 38704, 1369, 1031, 116, 2451, 1398, 1369, 190, 116, 2451, 305, 6, 5, 66207, 2451, 48413, 1369, 787, 15748, 1369, 138, 7201, 23173, 16629, 2648, 65482, 1470, 75230, 7201, 76776, 30750, 2050, 963, 12338, 6, 71804, 63849, 13159, 57973, 6235, 506, 40096, 3069, 116, 7213, 107581, 44779, 2200, 1470, 54260, 1211, 657, 21106, 39340, 37826, 6, 76776, 15529, 7213, 4944, 109316, 5, 163139, 21066, 7213, 107581, 44779, 57973, 6235, 506, 40096, 1751, 54260, 16747, 109316, 2050, 4838, 63849, 46598, 32, 5442, 83066, 1157, 63849, 13159, 57973, 3069, 201, 6319, 23269, 22426, 44779, 2200, 1470, 54260, 23269, 37826, 3523, 23173, 304, 6319, 23269, 22426, 44779, 5, 163139, 21066, 6319, 23269, 22426, 44779, 57973, 1751, 54260, 16747, 109316, 2050, 1157, 63849, 46598, 32, 363, 5, 163139, 21066, 120439, 23173, 109636, 28320, 37826, 1751, 54260, 16747, 109316, 6235, 101296, 40920, 6681, 190, 6, 71804, 63849, 13159, 32, 617, 5, 177274, 1157, 1644, 39340, 65146, 57973, 201, 6319, 23269, 22426, 44779, 5, 163139, 21066, 6319, 23269, 22426, 44779, 65146, 101296, 12984, 143064, 109316, 6681, 6, 105780, 6293, 6, 71804, 63849, 13159, 32, 758, 5, 143064, 109316, 163139, 1644, 193178, 190, 6, 71804, 63849, 13159, 5, 22753, 37826, 1751, 75230, 1211, 6235, 101296, 40920, 6681, 4852, 54260, 361, 7213, 107581, 44779, 5, 163139, 21066, 7213, 107581, 44779, 65146, 22753, 125523, 193178, 32, 5, 49150, 2451, 148462, 292, 758, 292, 190, 6, 5, 138, 2451, 2203, 59811, 2203, 178121, 1369, 138, 138, 2203, 201, 201, 2203, 63708, 1369, 6, 5, 2203, 2203, 1031, 38331, 180347, 1662, 5, 1470, 32899, 216501, 187483, 1470, 75230, 2702, 193012, 44779, 190, 1470, 75230, 97634, 2702, 5, 148932, 1470, 75230, 97634, 29257, 64260, 201, 105884, 6093, 2200, 1470, 54260, 1211, 7508, 142429, 2205, 6, 74004, 22426, 46646, 5, 163139, 21066, 105884, 6093, 19024, 81455, 10069, 6681, 216501, 193012, 44779, 32, 1530, 5, 2205, 32899, 216501, 506, 39083, 43649, 54260, 12483, 201, 19302, 54260, 23269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 67882, 16629, 49008, 2200, 1470, 54260, 1211, 23847, 75230, 36419, 5, 564, 54260, 1285, 19302, 54260, 23269, 67882, 16629, 49008, 187483, 1211, 3069, 6428, 187483, 6093, 2200, 564, 54260, 35189, 17824, 75230, 101608, 3217, 43649, 13845, 3069, 5666, 75230, 6293, 6, 159696, 15388, 10676, 47833, 1470, 75230, 67854, 2808, 30750, 5, 3559, 7201, 23173, 16629, 2648, 65482, 1470, 75230, 7201, 119859, 1982, 13159, 418, 5, 3373, 26, 101296, 93509, 52541, 15622, 105405, 192956, 3120, 137, 2648, 171127, 6681, 41764, 75230, 67873, 155, 3120, 160238, 13497, 35189, 224220, 141943, 84577, 4, 125523, 70845, 1285, 15622, 105405, 192956, 5, 9424, 54260, 1644, 40653, 230764, 4151, 8300, 54260, 4944, 43178, 17310, 4, 163139, 21066, 220224, 49008, 6235, 159696, 1211, 15622, 105405, 192956, 159308, 224220, 141943, 84577, 13342, 235210, 12483, 32, 5442, 6, 98055, 7746, 3069, 3069, 4151, 9424, 54260, 1982, 43178, 23405, 2200, 27702, 25207, 18406, 4, 163139, 21066, 15622, 105405, 192956, 2702, 26, 506, 29771, 18406, 6235, 506, 40096, 657, 137377, 29060, 13159, 5, 163139, 21066, 15622, 105405, 192956, 57973, 7243, 6235, 506, 40096, 4484, 54260, 1211, 657, 137377, 29060, 13159, 32, 363, 5, 230764, 4838, 6, 235210, 710, 119718, 23405, 220224, 49008, 6, 130991, 953, 15622, 105405, 192956, 5, 702, 15622, 105405, 192956, 57973, 7746, 1470, 75230, 2702, 190135, 83066, 238144, 4852, 5, 29434, 54260, 83066, 44779, 159308, 224220, 141943, 84577, 220224, 49008, 4838, 159696, 4484, 3069, 6, 47351, 206994, 564, 54260, 2050, 564, 75230, 12483, 4838, 6, 159696, 2932, 4, 1285, 40653, 7682, 48350, 54260, 49008, 4838, 159696, 4484, 125523, 6235, 8300, 54260, 2932, 5, 163139, 21066, 15622, 105405, 192956, 220224, 49008, 4838, 159696, 4484, 125523, 6235, 8300, 54260, 2932, 32, 617, 5, 2205, 29434, 54260, 6, 95494, 4944, 18415, 44779, 220224, 49008, 6235, 159696, 1211, 6319, 23269, 22426, 1644, 7201, 23173, 18406, 5, 2205, 6, 17645, 35465, 95494, 40920, 109316, 220224, 43178, 1211, 6235, 159696, 1211, 1388, 56170, 18406, 4, 95298, 3120, 1470, 54260, 1211, 6, 95494, 40920, 109316, 37826, 51723, 19532, 75230, 2702, 139449, 138, 56170, 18406, 2200, 3120, 9424, 238144, 28320, 787, 163139, 21066, 6681, 18406, 220224, 49008, 8903, 90536, 18406, 2205, 1285, 6, 95494, 4944, 18415, 44779, 32, 758, 5, 6, 137218, 20260, 109316, 37826, 6235, 506, 40096, 953, 46654, 75230, 51723, 5, 7369, 37826, 6, 193120, 3944, 69801, 12483, 92500, 55242, 50853, 109316, 1211, 3069, 190, 46654, 75230, 51723, 4, 1285, 40653, 125897, 37826, 7369, 40653, 8903, 212484, 2882, 64044, 4231, 120467, 109316, 1211, 5, 163139, 21066, 46654, 75230, 51723, 220224, 49008, 6235, 90536, 18406, 6681, 4231, 120467, 109316, 1211, 32, 910, 5, 230764, 1470, 564, 54260, 21338, 37826, 18225, 6681, 39293, 56169, 364, 103147, 46598, 1470, 54260, 8903, 44779, 2205, 13982, 54260, 7508, 54260, 12483, 5, 2205, 148932, 7508, 54260, 220224, 49008, 6235, 159696, 1211, 138, 17806, 16803, 44779, 7265, 43449, 75230, 4113, 73906, 51723, 2200, 116, 17806, 16803, 44779, 7265, 6, 238144, 36419, 6, 73906, 51723, 5, 163139, 21066, 17806, 16803, 44779, 220224, 49008, 8903, 119718, 92605, 46053, 1470, 75230, 33225, 564, 54260, 21338, 32, 4944, 21066, 8368, 1211, 120620, 71, 10, 10, 1369, 178121, 2203, 305, 292, 305, 2702, 41764, 11, 10, 10, 1369 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 179642, 292, 361, 6, 1211, 361, 22426, 483, 6, 5, 26612, 4113, 5, 16, 710, 6, 5, 22426, 41764, 10, 1369, 128423, 2203, 382, 7508, 382, 4113, 5, 7201, 1468, 2451, 483, 116, 292, 483, 483, 22426, 483, 41764, 11, 2451, 209, 4231, 116, 2203, 209, 4068, 758, 6, 5, 617, 6, 5, 363, 6, 5, 304, 6, 5, 1530, 292, 116, 2203, 382, 116, 292, 305, 292, 116, 6, 5, 116, 2451, 60061, 2203, 102738, 292, 201, 201, 292, 6, 4, 292, 138, 6, 5, 116, 1369, 787, 966, 2203, 178121, 2861, 292, 3217, 292, 201, 6, 5, 116, 1369, 82858, 2203, 1031, 6, 102738, 292, 483, 6, 5, 116, 292, 1892, 12490, 3373, 26, 4852, 54260, 49008, 6235, 21066, 75230, 15388, 9424, 238144, 6, 139485, 22426, 13159, 1470, 6093, 137377, 71804, 49008, 5, 2205, 148932, 139485, 109636, 3056, 6235, 21066, 75230, 15388, 1470, 54260, 1211, 1470, 6093, 29771, 21066, 47351, 3120, 160238, 13497, 2200, 364, 41595, 6093, 70845, 4852, 54260, 49008, 6235, 21066, 75230, 15388, 29434, 54260, 29434, 54260, 7972, 183216, 5, 163139, 21066, 1470, 6093, 137377, 71804, 49008, 220224, 49008, 6235, 21066, 116628, 95766, 564, 54260, 20315, 6, 139485, 22426, 13159, 3069, 235210, 12483, 32, 69139, 7201, 23173, 16629, 2648, 65482, 1470, 75230, 7201, 119859, 1982, 13159, 418, 5, 1470, 364, 75230, 4852, 37826, 29434, 54260, 1751, 97634, 38249, 5, 230764, 6, 17645, 35465, 43649, 218241, 3069, 4151, 64890, 2702, 4852, 54260, 49008, 56170, 47351, 190, 45521, 57619, 16932, 2200, 1470, 75230, 33225, 186046, 16932, 1398, 163139, 21066, 45521, 57619, 16932, 69355, 10676, 364, 75230, 4852, 4269, 54260, 12483, 19532, 75230, 2702, 230764, 4151, 4269, 59929, 32, 5442, 2205, 1470, 19302, 59929, 43649, 54260, 12483, 29434, 54260, 564, 135118, 5, 2205, 9424, 238144, 7508, 54260, 12483, 220224, 49008, 7201, 23173, 47351, 3069, 361, 564, 135118, 2200, 2205, 4151, 29434, 710, 16932, 7508, 54260, 2289, 163139, 21066, 564, 135118, 43649, 54260, 12483, 95766, 10676, 19302, 59929, 32, 363, 5, 29434, 54260, 187483, 6093, 6681, 1644, 142429, 1211, 230764, 47833, 1470, 75230, 97634, 55242, 4484, 7265, 3069, 75290, 5, 17645, 35189, 3120, 220224, 37826, 1751, 75230, 1211, 6681, 1644, 142429, 1211, 3069, 305, 55242, 4484, 2200, 3373, 26, 4852, 54260, 49008, 125523, 8903, 90536, 18406, 116, 55242, 4484, 3069, 56170, 1644, 142429, 1211, 5, 163139, 21066, 55242, 4484, 7265, 3069, 75290, 119055, 29060, 4151, 2808, 75230, 97634, 1470, 159696, 4484, 215629, 32, 617, 5, 1470, 6, 88660, 137377, 6093, 40096, 710, 119718, 37826, 160751, 48775, 40920, 3120, 10339, 26612, 216501, 2205, 6681, 1644, 75230, 6293, 69355, 1470, 6, 47293, 3131, 138, 874, 39083, 3069, 16175, 6, 78683, 16803, 16667, 7213, 4944, 119718, 23173, 2932, 5, 874, 26, 506, 64260, 130363, 75230, 23741, 910, 6, 78683, 16803, 16667, 7213, 4944, 119718, 23173, 2932, 5, 163139, 21066, 6, 78683, 16803, 16667, 220224, 49008, 6235, 90536, 18406, 32, 758, 5, 2205, 6681, 1644, 75230, 6293, 3120, 6, 105780, 6293, 193012, 37826, 1470, 32899, 216501, 160751, 75230, 2882, 3069, 617, 657, 59929, 96256, 75230, 97634, 2702, 193012, 44779, 5, 1285, 6681, 216501, 37826, 1751, 75230, 1211, 19532, 75230, 2702, 8903, 3131, 93449, 2681, 657, 59929 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 96256, 75230, 97634, 2702, 5, 163139, 21066, 657, 59929, 96256, 75230, 97634, 2702, 147062, 22753, 125523, 19532, 75230, 2702, 3131, 133671, 32, 910, 5, 1470, 119055, 26612, 2932, 239162, 1211, 27720, 216501, 37826, 201, 56170, 46545, 4113, 119055, 26612, 2932, 239162, 1211, 2200, 22753, 564, 75230, 2882, 13342, 138, 119055, 26612, 2932, 239162, 1211, 193012, 44779, 5, 163139, 21066, 119055, 26612, 2932, 239162, 1211, 6319, 68558, 1285, 32899, 216501, 3069, 128540, 95766, 6681, 1644, 75230, 6293, 3120, 190, 193012, 32, 5, 1126, 1369, 138, 292, 382, 7508, 116, 116, 2451, 305, 292, 201, 7508, 201, 6, 5, 201, 1369, 483, 292, 361, 6, 1211, 116, 6, 5, 190, 2451, 382, 292, 190, 6, 1211, 201, 6, 5, 1031, 1530, 1369, 305, 6, 1211, 382, 292, 138, 201, 1369, 361, 6, 1211, 483, 292, 190, 6, 5, 138, 1369, 483, 6, 1211, 361, 292, 138, 190, 1369, 138, 6, 1211, 305, 292, 190, 80196, 2451, 138, 292, 201, 6, 5, 116, 2451, 201, 292, 201, 6, 5, 138, 1369, 361, 292, 201, 6, 5, 201, 2451, 483, 292, 201, 6, 5, 1892, 1662, 1369, 382, 116, 1369, 361, 292, 190, 6, 5, 138, 1369, 305, 292, 190, 201, 1369, 190, 292, 6, 160355, 2451, 106, 116, 1369, 138, 7508, 116, 6, 5, 138, 1369, 190, 292, 116, 201, 1369, 2861, 963, 1369, 382, 6, 1211, 1369, 305, 1369, 201, 292, 138, 6, 5, 201, 1369, 116, 292, 138, 6, 5, 7201, 23173, 16629, 2648, 65482, 1470, 75230, 7201, 119859, 1982, 13159, 963, 12183, 5, 3120, 1470, 32899, 216501, 506, 75230, 6293, 57973, 9424, 238144, 119055, 29771, 2932, 16667, 3069, 139449, 13342, 201, 6, 78683, 16803, 16667, 2200, 9424, 238144, 119055, 29771, 2932, 16667, 57973, 3069, 139449, 3069, 305, 6, 78683, 16803, 16667, 5, 119718, 710, 21066, 6319, 59929, 13497, 2050, 37826, 18225, 19532, 75230, 2702, 8903, 7916, 33716, 3120, 4151, 32899, 216501, 32, 5442, 874, 26, 506, 64260, 40653, 8903, 3131, 93449, 3120, 1470, 67882, 16629, 49008, 16803, 48904, 42180, 201, 874, 39083, 3069, 13982, 54260, 46711, 129071, 29766, 1211, 4, 2200, 3120, 40026, 6093, 220224, 49008, 6, 94741, 33716, 6235, 159696, 1211, 190, 46711, 129071, 29766, 1211, 4, 29771, 75578, 116, 46711, 129071, 29766, 1211, 220224, 49008, 6235, 159696, 1211, 2205, 21776, 87311, 13497, 5, 163139, 21066, 46711, 129071, 29766, 1211, 506, 29771, 18406, 6235, 88660, 13497, 187483, 1211, 32, 363, 5, 27702, 25222, 49008, 160238, 1211, 6, 23173, 75230, 2702, 2205, 43649, 64260, 19532, 54260, 1211, 138, 46711, 75322, 238144, 13342, 15388, 13342, 138, 119055, 26612, 2932, 239162, 1211, 4, 201, 3069, 15388, 3069, 116, 119055, 26612, 2932, 239162, 1211, 2200, 138, 1470, 54260, 112690, 39340, 119055, 26612, 2932, 239162, 1211, 5, 119718, 710, 21066, 46711, 75322, 238144, 12483, 220224, 49008, 19532, 75230, 2702, 8903, 7201, 29766, 1211, 2205, 43649, 40096, 19532, 54260, 1211, 32, 617, 5, 10184, 86733, 2702, 220224, 49008, 19532, 75230, 2702, 8903, 7201, 29766, 1211, 1470, 75230, 33225, 6, 448, 2205, 55242, 13805, 7213, 33225, 5, 95766, 1470, 54260, 59461, 220224, 49008, 6235, 159696, 1211, 190, 10184, 86733, 2702, 4, 2205, 83066, 7213, 33225, 220224, 49008, 6235 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 159696, 1211, 13342, 138, 10184, 86733, 2702, 2200, 2205, 1470, 54260, 59461, 220224, 49008, 6235, 159696, 1211, 116, 10184, 86733, 2702, 5, 163139, 21066, 10184, 86733, 2702, 4852, 54260, 49008, 19532, 75230, 2702, 8903, 7201, 29766, 1211, 1470, 75230, 33225, 6, 448, 32, 758, 5, 1470, 75230, 33225, 6, 448, 220224, 49008, 74806, 119718, 905, 51723, 29434, 54260, 7213, 33225, 5, 2205, 148932, 7213, 6293, 220224, 49008, 8903, 159696, 1211, 305, 67882, 226112, 56880, 5, 3120, 4151, 184639, 7213, 6293, 57973, 7746, 116, 874, 40096, 48775, 56880, 2808, 88680, 8903, 39293, 56169, 2205, 4151, 9424, 238144, 16932, 7213, 6293, 2200, 1285, 200795, 7213, 6293, 37826, 4852, 18167, 101251, 8903, 75290, 2882, 73784, 564, 25207, 2932, 5, 163139, 21066, 67882, 226112, 56880, 220224, 49008, 6235, 90536, 18406, 1470, 75230, 33225, 6, 448, 32, 5, 363, 1369, 209, 6, 1211, 138, 6, 5, 138, 1369, 209, 292, 116, 6, 5, 201, 1369, 427, 6, 1211, 138, 6, 5, 116, 1369, 423, 7508, 787, 787, 1662, 1369, 423, 292, 305, 6, 5, 138, 1369, 616, 292, 305, 6, 5, 138, 1369, 427, 292, 138, 190, 1369, 534, 292, 361, 6, 5, 116, 53489, 106000, 292, 6, 2050, 292, 138, 6, 5, 23817, 292, 6, 2050, 292, 190, 6, 5, 5606, 292, 6, 2050, 292, 382, 6, 5, 1702, 292, 564, 292, 305, 6, 5, 6, 102738, 1211, 116, 787, 1126, 1549, 292, 6, 1211, 201, 6, 5, 40566, 292, 564, 138, 6, 5, 190, 2451, 1549, 292, 6, 1211, 201, 6, 5, 77855, 292, 6, 1211, 305, 146644, 292, 6, 2050, 292, 483, 116, 209, 292, 6, 2050, 292, 138, 4231, 146644, 2203, 292, 201, 6, 5, 201, 209, 292, 101, 292, 6, 5, 80454, 2203, 2203, 292, 138, 190, 209, 292, 6, 2050, 6, 1211, 787, 138, 2451, 101, 292, 361, 6, 5, 116, 6, 2050, 36053, 99509, 4113, 6, 26394, 47526, 123329, 2205, 4151, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 7501, 805, 418, 6, 26394, 47526, 123329, 304, 6, 26394, 47526, 123329, 363, 6, 26394, 47526, 123329, 758, 6, 26394, 47526, 123329, 26394, 1211, 209, 8300, 119718, 2808, 57619, 7682, 387, 13982, 54260, 150541, 496, 59919, 10918, 4484, 1112, 17268, 7201, 10918, 4484, 836, 86070, 4113, 6, 26394, 47526, 123329, 2205, 4151, 6235, 49008, 3120, 9424, 39083, 1211, 7501, 805, 534, 1819, 6, 26394, 47526, 123329, 1126, 6, 26394, 47526, 123329, 963, 6, 26394, 47526, 123329, 506, 88917, 77188, 86070, 4113, 6, 26394, 47526, 123329, 2205, 4151, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 7501, 805, 64, 155, 12477, 5, 9424, 54260, 1644, 40653, 4, 163139, 21066, 6, 105235, 39340, 44779, 3373, 26, 4852, 54260, 49008, 81444, 56170, 47351, 28705, 2205, 1470, 6, 88660, 137377, 6093, 40096, 710, 159696, 2442, 70695, 203232, 220224, 49008, 74806, 57277, 49008, 46654, 79238, 44779, 144754, 16175, 41595, 230764, 361, 117902, 7972, 26394, 2702, 5, 3069, 209, 46654, 79238, 44779, 230764, 148932, 5, 163139, 21066, 21066, 79238, 44779, 7265, 16175, 41595, 220224, 49008, 74806, 57277, 49008, 230764, 1285, 117902, 7972, 26394, 2702, 32, 617, 5, 2205, 1470, 220273, 28320, 6681, 39293, 56169, 18225, 80839, 40920, 1982, 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 ]
[ 2865, 44779, 5, 3373, 26, 2648, 23173, 33225, 220224, 1211, 963, 7508, 54260, 12483, 3069, 209, 564, 54260, 2865, 44779, 2205, 148932, 7508, 54260, 5, 874, 26, 506, 64260, 1751, 75230, 1211, 6681, 39293, 56169, 5, 7508, 54260, 12483, 5, 163139, 21066, 564, 54260, 2865, 44779, 147062, 18225, 125523, 6681, 39293, 64213, 32, 758, 5, 2205, 1470, 6, 88660, 137377, 6093, 40096, 710, 159696, 2442, 70695, 203232, 220224, 49008, 6235, 159696, 1211, 209, 41764, 37016, 44779, 144754, 1751, 159696, 30750, 44779, 3069, 209, 6, 172060, 20315, 44779, 2205, 4838, 6, 109636, 21733, 5, 4151, 56170, 4484, 75230, 59919, 506, 64260, 27702, 46685, 20911, 4, 6150, 3373, 26, 4852, 54260, 49008, 70845, 6235, 90536, 18406, 133190, 116, 4269, 48904, 26394, 41764, 37016, 44779, 5, 119718, 710, 21066, 6, 172060, 20315, 44779, 1751, 159696, 30750, 44779, 37826, 18225, 56170, 4484, 75230, 23741, 32, 910, 5, 1470, 21776, 16803, 29766, 47351, 37826, 6235, 4484, 75230, 23741, 190, 46654, 79238, 44779, 1470, 54260, 1644, 3069, 209, 6, 59094, 64260, 13159, 64044, 1470, 46654, 79238, 1644, 5, 163139, 21066, 37826, 6235, 88660, 16803, 4151, 1470, 54260, 1644, 32, 966, 5, 4151, 16175, 174121, 37826, 6235, 4484, 75230, 23741, 209, 55242, 4484, 44779, 6319, 75230, 67873, 3069, 209, 6, 59094, 64260, 13159, 64044, 1470, 55242, 21733, 5, 163139, 21066, 57973, 6235, 88660, 16803, 1285, 6319, 75230, 67873, 32, 1019, 5, 6, 137218, 23269, 13805, 67882, 24621, 37826, 6235, 506, 40096, 805, 6, 59094, 64260, 13159, 2205, 43449, 75230, 39293, 9424, 114436, 4852, 90848, 105439, 5, 22753, 37826, 1470, 75230, 2702, 193120, 138, 874, 39083, 3069, 209, 6, 59094, 64260, 13159, 5, 163139, 21066, 182731, 68313, 11265, 6235, 90536, 18406, 32, 86070, 4113, 6, 26394, 47526, 123329, 2205, 7508, 6093, 3523, 65482, 9183, 6, 148346, 8580, 9424, 39083, 1211, 78278, 805, 534, 6460, 874, 103955, 850, 3069, 209, 4269, 90848, 81829, 3056, 387, 4269, 90848, 81829, 5, 758, 874, 103955, 850, 3069, 209, 4269, 90848, 81829, 3056, 836, 4269, 90848, 81829, 5, 963, 874, 103955, 850, 3069, 209, 4269, 90848, 81829, 3056, 805, 4269, 90848, 81829, 4, 84475, 106, 6, 59094, 64260, 4113, 12, 97024, 99509, 4113, 6, 26394, 47526, 123329, 2205, 4151, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 7501, 805, 16, 2702, 2702, 132, 3373, 3373, 3373, 3373, 6, 51421, 2702, 2702, 2702, 132, 3373, 3373, 3373, 3373, 2702, 3373, 3373, 2702, 3373, 3373, 3373, 2702, 2702, 21087, 3373, 3373, 3373, 2702, 3373, 3373, 3373, 3373, 4, 2702, 3373, 3373, 6, 5, 2702, 3373, 3373, 3373, 2702, 3373, 3373, 3373, 3373, 3373, 4, 2702, 3373, 3373, 3373, 3373, 3373, 3373, 2702, 418, 5, 9424, 54260, 1644, 40653, 1285, 21776, 20315, 44779, 4, 9424, 54260, 1644, 220224, 9424, 141943, 105330, 238144, 4852, 5, 22426, 2702, 3373, 5442, 9424, 54260, 1644, 40653, 27702, 46464, 83182, 1285, 6, 238144, 36419, 21776, 20315, 44779, 4, 27702, 46464, 83182, 1285, 34079, 23173, 26394, 4, 27702, 46464, 83182, 1285, 6235, 22426, 41595, 1644, 18415, 4, 27702, 46464, 83182, 1285, 6235, 13805, 21338, 18415, 2200, 225975, 4, 163139, 21066, 21776, 20315, 44779, 220224, 49008, 6681, 17537, 3069, 74004, 51723, 28705, 9424, 54260, 12984, 6 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 68558, 1496, 21776, 20315, 44779, 5, 86070, 4113, 6, 26394, 47526, 123329, 2205, 54745, 97995, 65482, 8580, 3120, 9424, 39083, 1211, 78278, 805, 29187, 26394, 47526, 123329, 2200, 138, 6, 26394, 47526, 123329, 3056, 361, 6, 26394, 47526, 123329, 5, 5757, 292, 496, 6, 1211, 1112, 1369, 836, 6, 1211, 836, 1369, 2358, 7508, 496, 1369, 1496, 292, 1112, 1369, 2248, 292, 7085, 363, 2451, 496, 292, 2358, 757, 292, 496, 292, 1496, 6, 1211, 209, 1369, 209, 6, 1211, 209, 1369, 209, 6, 1211, 387, 1369, 209, 6, 1211, 1112, 758, 5, 230764, 1470, 8248, 46685, 88660, 1644, 171433, 17645, 57973, 5, 1285, 114955, 6235, 119718, 39083, 2882, 193178, 7201, 65482, 20315, 44779, 73784, 163139, 35189, 8903, 28317, 125830, 49792, 104855, 3120, 41764, 75230, 67873, 5, 1285, 114955, 506, 26612, 18406, 6235, 4484, 75230, 23741, 496, 564, 75230, 2932, 16667, 6, 238144, 36419, 12023, 43375, 39340, 2200, 496, 564, 75230, 2932, 16667, 7508, 75230, 18415, 5, 119718, 710, 21066, 564, 75230, 2932, 16667, 12023, 43375, 39340, 364, 26612, 18406, 1285, 114955, 6235, 4484, 75230, 23741, 32, 1197, 292, 1112, 292, 2358, 5, 5, 1126, 6, 5, 363, 6, 5, 966, 1369, 1112, 292, 1496, 2203, 496, 292, 836, 2203, 387, 292, 496, 1369, 836, 6, 7961, 5757, 2203, 496, 292, 1112, 2203, 387, 292, 1112, 1369, 496, 292, 2248, 292, 496, 292, 2358, 292, 387, 292, 2358, 1369, 496, 292, 2510, 292, 496, 292, 496, 292, 710, 387, 292, 757, 194, 2681, 6, 5, 1530, 6, 5, 1662, 1369, 209, 292, 2358, 292, 836, 292, 2248, 292, 387, 292, 1112, 1369, 836, 292, 496, 292, 209, 292, 805, 292, 1112, 292, 836, 2451, 1112, 292, 757, 16, 292, 387, 805, 292, 496, 292, 2358, 2451, 1112, 292, 805, 2203, 1112, 292, 2248, 292, 209, 292, 361, 122887, 2451, 209, 292, 387, 2451, 209, 292, 496, 2451, 209, 292, 1496, 2451, 209, 292, 496, 5, 963, 2451, 387, 292, 496, 2451, 496, 292, 496, 2451, 387, 292, 836, 2451, 496, 292, 757, 16, 2592, 5, 1470, 10498, 15435, 37826, 6235, 4484, 75230, 23741, 805, 16175, 5666, 159696, 39340, 2050, 3069, 10339, 142429, 78683, 905, 46598, 92500, 7369, 37826, 6681, 3111, 56169, 7227, 16175, 5666, 159696, 39340, 2050, 5, 163139, 21066, 16175, 5666, 159696, 39340, 2050, 364, 26612, 2050, 7369, 113889, 4667, 2205, 9934, 71577, 59929, 32, 86070, 4113, 6, 26394, 47526, 123329, 2205, 7508, 6093, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 78278, 805, 617, 874, 39083, 3069, 116, 6, 26394, 47526, 123329, 3056, 382, 6, 26394, 47526, 123329, 5, 4836, 292, 6, 5, 102692, 1369, 209, 4231, 305, 2203, 496, 116, 1369, 209, 2203, 1112, 4231, 116, 2451, 2203, 836, 116, 1369, 209, 6, 5, 483, 2203, 496, 6, 5, 80308, 5, 68107, 1369, 209, 116, 1369, 209, 2451, 209, 201, 1369, 209, 4859, 5, 8248, 13497, 7682, 3056, 19532, 75230, 2702, 8903, 7201, 29766, 1211, 3120, 81444, 63020, 47833, 1470, 75230, 2702, 21066, 23964, 6319, 54260, 1211, 119718, 20961, 36326, 5, 230764, 138, 1470, 75230, 57277, 2702, 160238, 1211, 3069, 496, 6, 149364, 4852, 68558, 5, 163139, 21066, 6, 149364 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4852, 68558, 160238, 1211, 2808, 75230, 33225, 6, 146598, 21066, 23964, 32, 910, 5, 7265, 4838, 564, 165592, 31212, 2205, 7508, 40096, 5666, 7201, 23173, 1982, 183512, 3056, 120202, 8903, 21066, 75230, 15388, 47833, 1470, 75230, 2702, 7201, 34709, 1644, 25603, 2932, 5, 3120, 187483, 6093, 2205, 29434, 54260, 1470, 6093, 137377, 71804, 49008, 3069, 387, 6, 149364, 4852, 68558, 2200, 2808, 6, 59919, 16932, 1470, 6093, 137377, 21295, 1211, 37826, 7265, 139449, 209, 6, 149364, 4852, 68558, 5, 163139, 21066, 187483, 6093, 220224, 49008, 1470, 159696, 4484, 8903, 21066, 75230, 15388, 32, 966, 5, 4151, 16175, 174121, 37826, 6235, 506, 40096, 190, 27702, 20260, 113889, 28320, 3069, 387, 6, 59094, 64260, 13159, 5, 6, 150839, 64260, 6235, 4484, 75230, 23741, 4838, 3373, 159696, 16932, 56170, 2358, 6, 59094, 64260, 13159, 5, 163139, 21066, 6, 59094, 64260, 13159, 3056, 70845, 8903, 90536, 18406, 32, 1019, 5, 1285, 67882, 24621, 37826, 6235, 119718, 39083, 2882, 6319, 75230, 33225, 9424, 238144, 657, 54260, 192956, 2442, 3069, 836, 6, 59094, 64260, 13159, 4, 3373, 26, 506, 29771, 18406, 11265, 95298, 1470, 75230, 2702, 8903, 61541, 2882, 387, 6, 59094, 64260, 13159, 5, 37826, 22753, 6235, 4484, 75230, 23741, 2808, 54260, 1211, 657, 54260, 44779, 5, 163139, 21066, 6, 59094, 64260, 13159, 3056, 11265, 6235, 90536, 18406, 32, 14556, 963, 1369, 1112, 292, 387, 657, 1369, 836, 292, 1112, 6, 5, 116, 1369, 1496, 292, 496, 6, 5, 4669, 292, 836, 787, 1126, 3559, 2203, 963, 123363, 6, 5, 67910, 6, 5, 84988, 6, 5, 116, 26394, 47526, 123329, 2200, 1470, 54260, 112690, 39340, 2205, 54745, 17824, 65482, 8580, 3120, 9424, 39083, 1211, 78278, 805, 534, 12825, 6, 26394, 47526, 123329, 2200, 382, 26612, 40920, 2200, 9424, 119718, 171433, 10918, 4484, 1372, 304, 6, 26394, 47526, 123329, 2200, 483, 5666, 54260, 1211, 2200, 9424, 119718, 171433, 10918, 4484, 1702, 363, 6, 26394, 47526, 123329, 13982, 54260, 150541, 363, 6, 26394, 47526, 123329, 2200, 106, 2808, 54260, 1211, 2200, 29434, 54260, 150541, 138, 2681, 9424, 43178, 50853, 123329, 2200, 116, 8300, 238144, 2200, 29434, 54260, 150541, 2789, 116329, 6, 26394, 47526, 125897, 2200, 1470, 54260, 112690, 39340, 2205, 7508, 6093, 97995, 65482, 7611, 3120, 9424, 39083, 1211, 7501, 805, 963, 483, 382, 361, 305, 190, 201, 138, 116, 5390, 953, 543, 729, 611, 423, 616, 702, 427, 534, 2839, 5606, 4520, 4669, 1388, 363, 2273, 4442, 3912, 2789, 138, 19236, 7218, 4572, 7657, 1388, 617, 2678, 5896, 6260, 4828, 201, 43243, 11937, 12045, 12661, 11716, 5684, 7911, 12069, 10031, 305, 39425, 17446, 15111, 14154, 14810, 4948, 15124, 14929, 9464, 361, 66951, 17853, 14073, 18825, 17281, 2273, 14885, 19251, 15751, 16503, 3559, 10078, 16193, 14819, 13549, 9199, 16064, 17461, 15671, 120138, 5, 22518, 54260, 1982, 6, 68558, 657, 75230, 28320, 68248, 1285, 9424, 39083, 1211, 3120, 836, 78278, 1496, 5, 5442, 22518, 54260, 1982, 6, 68558, 657, 75230, 28320, 68248, 1285, 9424, 39083, 1211, 3120, 4948, 78278, 9365, 28705, 657, 54260, 1982, 109316, 657, 54260, 35596, 1470, 12023, 10813, 230764, 4151, 1381, 16932, 220224, 2882, 5, 119055, 13845, 107581, 159696, 2882, 220224, 1211, 1285, 6, 238144, 16932, 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 ]
[ 125897, 220224, 2882, 32, 617, 5, 657, 17645, 1982, 109316, 657, 54260, 35596, 1470, 12023, 10813, 230764, 4151, 1381, 63188, 220224, 2882, 5, 119055, 13845, 107581, 14004, 6235, 159696, 1211, 1285, 129165, 38054, 125897, 220224, 2882, 32, 758, 5, 9424, 54260, 1644, 40653, 2200, 22518, 54260, 1982, 6, 68558, 4, 163139, 21066, 6, 105235, 39340, 44779, 3373, 26, 4852, 54260, 49008, 56170, 47351, 43652, 9424, 54260, 1644, 40653, 2200, 22518, 54260, 1982, 6, 68558, 4, 163139, 21066, 6, 105235, 39340, 44779, 3373, 26, 4852, 54260, 49008, 56170, 47351, 5, 26394, 47526, 123329, 2200, 1470, 54260, 112690, 39340, 2205, 4151, 17824, 65482, 8580, 3120, 9424, 39083, 1211, 7501, 805, 534, 12183, 5, 9424, 54260, 1644, 40653, 6428, 59929, 182731, 2205, 148932, 6, 123988, 5, 20840, 6, 26394, 47526, 123329, 2200, 1470, 54260, 112690, 39340, 2205, 7508, 6093, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 7501, 805, 2702, 3373, 3373, 3373, 3373, 2702, 3373, 2702, 2702, 3373, 2702, 3373, 3373, 3373, 3373, 3373, 2702, 3373, 3373, 3373, 16, 2702, 2702, 2702, 2702, 132, 2702, 2702, 2702, 2702, 2702, 3373, 3373, 16, 2702, 2702, 2702, 2702, 132, 16, 2932, 418, 5, 9424, 54260, 1644, 40653, 1285, 21776, 20315, 44779, 9424, 54260, 1644, 213952, 220224, 9424, 141943, 105330, 238144, 4852, 5, 5442, 9424, 54260, 1644, 40653, 1285, 112216, 150541, 44779, 5, 1031, 9424, 54260, 1644, 40653, 1285, 112216, 150541, 44779, 5, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 8580, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 132, 1211, 1211, 418, 1211, 1211, 1211, 1211, 1211, 4667, 8580, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 8580, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 617, 5, 9424, 54260, 12984, 6, 68558, 1438, 112216, 150541, 44779, 45955, 9424, 54260, 12984, 6, 68558, 9464, 112216, 150541, 44779, 43652, 9424, 54260, 12984, 6, 68558, 805, 112216, 150541, 44779, 5, 2648, 120467, 6681, 21847, 54260, 12984, 657, 65482, 12483, 1530, 1662, 5, 95455, 220224, 49008, 1285, 27702, 119718, 905, 80885, 6319, 75230, 1644, 23405, 62763, 1211, 137, 170355, 1982, 4852, 23269, 112304, 17800, 2909, 119055, 13845, 104238, 6319, 75230, 51723, 3056, 4151, 17288, 4944, 82576, 32, 119055, 13845, 104238, 4151, 24012, 35189, 7682, 82576, 32, 5442, 3373, 26, 119718, 92605, 16803, 95455, 3523, 54260, 4113, 119055, 69596, 4113, 5, 95455, 220224, 49008, 1285, 364, 54260, 168155, 230764, 35189, 46711, 59929, 4113, 119055, 905, 2451, 39293, 2882, 15, 112304, 17800, 112388, 194, 119055, 13845, 4944, 13159, 364, 75230, 4852, 3056, 81444, 13458, 54260, 2882, 80885, 32, 119055, 13845, 4944, 13159, 6428, 59929, 85596, 1644, 80885, 32, 363, 5, 119055, 13845, 104238, 564, 21106, 37016, 3056, 4151, 657, 141847, 82576, 32, 119055, 13845, 104238, 4151, 16580, 29025, 82576, 32, 13845, 6093, 5, 119055, 13845, 104238, 3056, 10069, 16667, 16932, 32, 108837, 2648, 120467, 6681, 21847, 54260, 18406, 657, 65482, 12483, 2648, 120467, 14856, 119364, 657, 76632, 12483, 48636, 150715, 3056, 1470, 6, 26394, 50778, 24621, 16932, 87311, 2702, 5, 35189, 132025, 2932, 21660, 54260, 30741, 16932, 43449, 54260, 6093, 37826, 423, 6, 26394, 50778, 24621, 16932 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 10069, 657, 141847, 22892, 657, 54260, 2932, 3069, 6428, 54260, 1211, 43449, 54260, 6093, 3069, 4151, 874, 120467, 2200, 6, 225975, 4, 163139, 21066, 26394, 50778, 24621, 16932, 37826, 7369, 1285, 657, 141847, 5, 35189, 564, 25207, 2932, 3120, 1470, 17824, 75230, 2702, 6319, 119273, 109316, 84475, 3120, 9424, 238144, 21733, 54260, 23269, 115222, 80885, 44779, 2205, 21776, 65755, 4113, 23741, 3056, 1470, 6, 26394, 50778, 24621, 16932, 5, 35189, 6, 48253, 119718, 218241, 230764, 4151, 9424, 54260, 4944, 43178, 17310, 37826, 190, 6, 26394, 50778, 24621, 16932, 4231, 657, 141847, 5, 292, 5442, 163139, 21066, 6, 26394, 50778, 24621, 16932, 37826, 1285, 17824, 75230, 36419, 4838, 2932, 48775, 42410, 4113, 32, 363, 5, 163139, 21066, 6, 26394, 50778, 24621, 16932, 364, 40096, 1285, 19302, 54260, 23269, 4838, 2932, 48775, 42410, 4113, 32, 617, 5, 163139, 21066, 6, 26394, 50778, 24621, 16932, 37826, 1285, 41764, 65482, 32, 758, 5, 9721, 141847, 19532, 54260, 1211, 2205, 19302, 59929, 1285, 657, 48904, 8903, 6, 26394, 50778, 24621, 16932, 87311, 2702, 5, 109589, 2648, 120467, 14856, 119364, 657, 76632, 12483, 2808, 14856, 16932, 37826, 805, 6, 26394, 50778, 24621, 16932, 22892, 6, 238144, 4852, 230764, 4151, 874, 120467, 1470, 4269, 48904, 64213, 14856, 16932, 5, 5442, 6, 5, 238144, 4852, 230764, 4151, 874, 120467, 836, 6, 26394, 50778, 24621, 16932, 28705, 6, 238144, 4852, 230764, 4151, 874, 120467, 4039, 6, 26394, 50778, 24621, 16932, 29485, 6, 238144, 4852, 230764, 4151, 874, 120467, 7911, 6, 26394, 50778, 24621, 16932, 45955, 874, 119273, 120202, 1285, 657, 141847, 2200, 1285, 9721, 54260, 2882, 3120, 17288, 23741, 43652, 874, 119273, 120202, 1285, 657, 141847, 2200, 1285, 9721, 54260, 2882, 3120, 4151, 32887, 39340, 53489, 874, 119273, 120202, 1285, 364, 54260, 4667, 3120, 6, 147502, 52196, 874, 119273, 120202, 1285, 364, 54260, 4667, 3120, 4151, 27702, 20260, 5, 26394, 47526, 123329, 2200, 1470, 54260, 112690, 39340, 2205, 54745, 3523, 65482, 8580, 3120, 9424, 39083, 1211, 7501, 805, 15732, 2588, 292, 190, 6, 1211, 76924, 292, 387, 7508, 45334, 292, 61391, 1369, 190, 1112, 2358, 292, 361, 292, 2358, 1369, 382, 6, 1211, 209, 1369, 361, 6, 1211, 387, 1369, 305, 6, 1211, 496, 5, 304, 1369, 201, 6, 1211, 1496, 2451, 106, 6, 1211, 387, 1369, 190, 292, 2510, 758, 5, 6, 172060, 20315, 44779, 7265, 1751, 159696, 30750, 44779, 56170, 4484, 75230, 23741, 18225, 2205, 41764, 37016, 44779, 3069, 963, 6, 172060, 20315, 44779, 5, 874, 26, 506, 64260, 56170, 4484, 75230, 23741, 305, 4269, 48904, 26394, 41764, 37016, 44779, 2200, 125523, 3373, 6, 172060, 20315, 44779, 3120, 6, 47351, 132025, 8903, 506, 75230, 18406, 6, 109636, 21733, 5, 163139, 21066, 6, 172060, 20315, 44779, 7265, 1751, 159696, 30750, 44779, 37826, 51723, 56170, 4484, 75230, 23741, 32, 758, 2203, 387, 292, 714, 1549, 292, 190, 292, 714, 38331, 210257, 1369, 209, 292, 611, 2203, 382, 292, 543, 292, 201, 292, 7911, 1369, 496, 292, 3912, 2203, 106, 292, 8651, 292, 138, 292, 14929, 1369, 1496, 292, 11716, 2203, 201, 292, 5896, 292, 116, 292, 15751, 1369, 387, 292, 714, 2203, 116, 292, 9464, 2203, 106, 292, 483, 36053, 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 ]
[ 2205, 1470, 131397, 220224, 49008, 6235, 159696, 1211, 9424, 238144, 120202, 2882, 54260, 1644, 109226, 3120, 7369, 29659, 1211, 19302, 59929, 5, 95766, 1470, 54260, 1211, 120202, 2882, 54260, 1644, 17310, 220224, 49008, 6235, 159696, 1211, 9174, 363, 114955, 4, 1470, 16562, 4151, 9424, 54260, 54260, 16932, 137377, 2882, 54260, 1644, 17310, 220224, 49008, 6235, 159696, 1211, 7265, 653, 114955, 163139, 57619, 123329, 5, 163139, 21066, 114955, 4852, 54260, 49008, 6235, 159696, 1211, 2205, 4151, 9424, 238144, 16932, 120202, 2882, 54260, 1644, 17310, 32, 77344, 6, 26394, 47526, 125897, 2200, 1470, 54260, 112690, 39340, 2205, 4151, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 7501, 805, 418, 5, 1470, 21776, 16803, 29766, 47351, 37826, 27702, 8300, 39083, 2882, 361, 6, 59094, 64260, 13159, 6681, 17824, 24295, 119718, 23173, 2932, 2200, 1549, 6, 59094, 64260, 13159, 56170, 45521, 125830, 5, 163139, 21066, 37826, 7369, 27702, 8300, 39083, 2882, 3069, 235210, 12483, 32, 5442, 83066, 6, 105780, 59919, 59094, 64260, 13159, 2200, 83066, 9424, 238144, 6093, 59094, 64260, 13159, 292, 163139, 21066, 6, 59094, 64260, 13159, 3056, 95455, 3069, 235210, 12483, 32, 363, 5, 29434, 54260, 9424, 119718, 171433, 10918, 75290, 6, 59094, 64260, 13159, 2200, 83066, 9424, 238144, 6093, 59094, 64260, 46598, 292, 119718, 710, 21066, 9934, 71804, 105439, 3056, 95455, 3069, 235210, 12483, 32, 617, 5, 2205, 1470, 32899, 216501, 220224, 49008, 81444, 190, 6, 170355, 67873, 5, 2205, 83066, 6, 170355, 67873, 187483, 1211, 3069, 1549, 187483, 6093, 2200, 2205, 10184, 217814, 1211, 133190, 3217, 163139, 21066, 187483, 6093, 187483, 1211, 2205, 35189, 32899, 216501, 32, 758, 5, 230764, 4151, 564, 183718, 2882, 215726, 220224, 49008, 74806, 57277, 49008, 138, 17824, 54260, 18415, 3069, 15388, 13342, 496, 119055, 26612, 2932, 239162, 1211, 2200, 230764, 1470, 220224, 46545, 6093, 3944, 142170, 220224, 49008, 74806, 57277, 49008, 361, 119055, 26612, 2932, 239162, 1211, 5, 163139, 21066, 119055, 26612, 2932, 239162, 1211, 220224, 49008, 74806, 57277, 49008, 230764, 4151, 48706, 215726, 32, 910, 5, 3373, 26, 4852, 54260, 49008, 6235, 7201, 29766, 1211, 9424, 238144, 1470, 75230, 97634, 164874, 1211, 5, 2205, 6, 17645, 35465, 1470, 75230, 97634, 164874, 4852, 54260, 49008, 6235, 39293, 46053, 3069, 1112, 6, 149364, 4852, 68558, 2200, 74806, 57277, 49008, 3069, 138, 6, 149364, 4852, 68558, 5, 163139, 21066, 59919, 4852, 68558, 220224, 49008, 6235, 7201, 29766, 1211, 2205, 1285, 1470, 75230, 97634, 164874, 1211, 32, 966, 5, 6, 105780, 6293, 1470, 75230, 97634, 2702, 57973, 6235, 2648, 23173, 23741, 3069, 101470, 3120, 1470, 15864, 2932, 2808, 109995, 3069, 209, 7201, 13159, 44779, 7265, 10184, 3131, 4, 3373, 26, 506, 26612, 18406, 95298, 1470, 75230, 2702, 8903, 61541, 2882, 10184, 3131, 2200, 1470, 54260, 1211, 1470, 75230, 97634, 506, 64260, 6, 139449, 7265, 83066, 45521, 2702, 44779, 163139, 57619, 123329, 5, 163139, 21066, 45521, 2702, 44779, 7265, 10184, 15908, 29771, 18406, 3069, 139449, 1285, 1470, 75230, 57277, 2702, 32, 5, 963, 2451, 836, 6, 1211, 305, 292, 4039, 1369, 387, 292, 361, 292, 10149, 2451, 496, 6, 1211, 138, 292, 14929, 2451, 2510, 292, 483, 292, 10078, 5, 2681, 2451, 483, 292, 1112, 6, 1211, 836, 1369, 361, 292, 496 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 292, 387, 2451, 9934, 387, 292, 1112, 2451, 106, 292, 209, 6, 1211, 382, 143161, 1369, 2358, 292, 387, 190, 1369, 1496, 292, 209, 138, 2451, 836, 292, 496, 6, 5, 116, 2451, 1112, 387, 6, 5, 787, 1530, 2451, 1112, 6, 1211, 209, 190, 2451, 496, 6, 1211, 387, 6, 5, 138, 1369, 209, 6, 1211, 496, 6, 5, 138, 1369, 387, 292, 387, 6, 5, 138, 2451, 483, 6, 1211, 496, 4231, 138, 1369, 382, 292, 387, 6, 5, 201, 2451, 361, 6, 1211, 209, 361, 2451, 292, 387, 6, 5, 1031, 1662, 2451, 1496, 6, 1211, 190, 7508, 201, 1369, 305, 292, 6, 5, 138, 2451, 2248, 6, 5, 12338, 292, 7201, 23173, 16629, 2648, 65482, 1470, 75230, 7201, 119859, 1982, 13159, 1530, 15770, 5, 230764, 1470, 657, 48904, 15388, 119055, 29771, 15388, 220224, 49008, 6235, 159696, 1211, 427, 114955, 5, 3069, 6093, 29659, 220224, 49008, 2442, 137377, 8903, 8903, 26612, 183216, 9424, 238144, 4, 1751, 109636, 16932, 6, 105780, 6293, 114955, 5, 163139, 21066, 114955, 220224, 49008, 8903, 90536, 18406, 1470, 75230, 33225, 119055, 29771, 15388, 32, 5442, 230764, 1470, 119055, 29771, 15388, 220224, 49008, 6235, 159696, 1211, 427, 114955, 5, 361, 114955, 220224, 49008, 1470, 90848, 7201, 69355, 119055, 29771, 15388, 5, 163139, 21066, 114955, 220224, 49008, 6235, 90536, 18406, 1470, 75230, 33225, 119055, 29771, 15388, 32, 363, 5, 1470, 32097, 1285, 131397, 1982, 54260, 2882, 44779, 57973, 6235, 4852, 39083, 2882, 187483, 1211, 427, 874, 54260, 2648, 44779, 92500, 6428, 6, 54260, 23405, 44779, 4, 95298, 83066, 114955, 220224, 49008, 19532, 75230, 2702, 8903, 7201, 29766, 1211, 7265, 1285, 13845, 16932, 1211, 5, 163139, 21066, 114955, 57973, 6235, 23173, 1982, 29060, 230764, 1285, 564, 54260, 2882, 44779, 32, 617, 5, 7544, 16747, 109316, 37826, 120202, 2932, 21660, 54260, 21295, 1285, 7508, 75230, 56880, 4, 119055, 13845, 107581, 57973, 7746, 6, 26394, 1982, 69181, 95766, 220273, 28320, 5, 1285, 7508, 75230, 56880, 220224, 49008, 6235, 905, 218241, 46053, 2205, 29434, 54260, 34654, 12483, 5, 2205, 9424, 238144, 7508, 54260, 12483, 506, 29771, 18406, 7746, 6, 26394, 1982, 69181, 3069, 305, 7508, 75230, 56880, 4, 2205, 4151, 29434, 710, 16932, 7508, 54260, 6428, 7508, 75230, 56880, 5, 163139, 21066, 26394, 90536, 18415, 7508, 75230, 56880, 220224, 49008, 6235, 159696, 1211, 32, 758, 5, 2205, 4838, 220273, 28320, 57973, 7746, 6, 26394, 1982, 69181, 19024, 7972, 46598, 5, 2205, 29434, 54260, 7508, 54260, 12483, 506, 29771, 18406, 160751, 69181, 3069, 190, 19024, 7972, 46598, 2200, 2205, 4151, 6, 59919, 16932, 1398, 874, 26, 506, 64260, 120202, 8903, 117260, 28320, 611, 19024, 7972, 13159, 5, 163139, 21066, 6, 130929, 188301, 4113, 19024, 7972, 46598, 220224, 49008, 6235, 90536, 18406, 32, 910, 5, 874, 54260, 20315, 44779, 220224, 49008, 4838, 159696, 4484, 230764, 6, 47351, 1470, 75230, 2702, 21066, 23964, 5, 3120, 160238, 13497, 220224, 49008, 8903, 240863, 12483, 116, 874, 54260, 20315, 44779, 7265, 4151, 6, 44478, 6093, 8580, 4, 2200, 125523, 220224, 190, 7508, 54260, 12483, 3069, 363, 874, 54260, 20315, 44779, 5, 163139, 21066, 6, 149364, 4852, 68558, 220224, 49008, 6235, 240863, 12483, 1470, 75230, 33225, 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, 21066, 23964, 32, 966, 5, 2205, 7369, 29659, 1211, 19302, 59929, 220224, 49008, 6235, 159696, 1211, 387, 6, 54260, 23405, 44779, 2200, 729, 874, 54260, 2648, 44779, 5, 2808, 75230, 6293, 45521, 12415, 12483, 160238, 1211, 2205, 1285, 10213, 48974, 382, 6, 54260, 23405, 44779, 2200, 364, 874, 54260, 2648, 44779, 5, 1285, 40653, 125897, 114955, 160238, 1211, 73784, 6, 448, 5, 163139, 21066, 6, 54260, 23405, 44779, 2200, 163139, 21066, 874, 54260, 2648, 44779, 56170, 1211, 13342, 2050, 6, 448, 32, 81764, 7201, 23173, 16629, 2648, 65482, 1470, 75230, 7201, 119859, 1982, 13159, 418, 5, 114955, 193178, 7213, 55823, 44779, 3120, 6, 172060, 20315, 44779, 152, 387, 114955, 57973, 8903, 101296, 40920, 3069, 106, 7213, 61541, 4113, 4, 6, 105780, 6293, 3069, 116, 7213, 55823, 44779, 2200, 29434, 54260, 3069, 138, 7213, 55823, 44779, 5, 119718, 710, 21066, 7213, 55823, 44779, 364, 26612, 18406, 6235, 101296, 40920, 51963, 114955, 3069, 235210, 12483, 32, 17645, 20315, 41764, 75230, 1644, 40697, 6, 123559, 16932, 40697, 7213, 6293, 37826, 215031, 27702, 83182, 4113, 5, 5442, 4231, 167622, 109316, 37826, 6235, 104149, 2205, 117902, 33716, 543, 3373, 42695, 506, 3131, 131539, 4, 116, 112216, 2702, 165592, 153796, 3131, 131539, 2200, 361, 7213, 33225, 130170, 4151, 41764, 75230, 1644, 152185, 6, 123559, 16932, 152185, 1982, 183512, 123073, 5, 3373, 26, 4852, 54260, 49008, 4838, 159696, 4484, 23269, 3131, 119718, 905, 51723, 305, 6, 51437, 26659, 3131, 131539, 2200, 106, 112216, 2702, 165592, 153796, 3131, 32097, 5, 163139, 21066, 7213, 33225, 220224, 49008, 6235, 90536, 18406, 2205, 117902, 33716, 32, 13342, 235210, 43178, 105235, 1644, 17310, 3120, 67882, 16932, 710, 21106, 418, 5, 3069, 23847, 54260, 2882, 17310, 96743, 16011, 109226, 5, 13342, 74004, 18279, 43178, 1644, 54260, 15388, 34654, 6319, 43178, 110970, 57277, 50856, 1211, 24464, 1470, 6, 235210, 1644, 17310, 2205, 1470, 7508, 54260, 153, 13342, 235210, 43178, 1644, 54260, 15388, 1285, 115222, 2932, 5666, 29659, 183512, 1211, 24464, 1470, 6, 235210, 1644, 17310, 2205, 4838, 27702, 29659, 710, 188201, 29766, 20315, 3111, 23405, 3056, 1470, 3069, 23847, 54260, 2882, 17310, 73784, 9424, 54260, 67873, 5, 6235, 7511, 2882, 109226, 230764, 192183, 25616, 213783, 12, 13342, 235210, 43178, 1644, 54260, 15388, 115222, 2932, 5666, 29659, 183512, 1211, 2205, 1470, 7508, 54260, 4, 132025, 42180, 1211, 30109, 13845, 1211, 230764, 4838, 10339, 142429, 448, 132, 141562, 40920, 1211, 24464, 48494, 1982, 71512, 247, 1751, 109636, 16932, 6235, 7511, 2882, 109226, 230764, 1470, 9424, 54260, 4944, 43178, 17310, 12, 190800, 42180, 1211, 2808, 42572, 142429, 448, 37729, 30109, 13845, 1211, 5, 64044, 21847, 54260, 18406, 6, 235210, 1644, 109226, 7265, 7508, 6093, 11211, 108968, 3120, 58826, 152656, 117902, 61621, 153, 5, 31157, 14004, 1982, 109226, 2205, 3069, 74004, 24621, 5927, 48904, 2932, 7265, 1285, 9424, 54260, 4944, 43178, 109226, 12, 199145, 3056, 81444, 46685, 292, 6, 73906, 51723, 21422, 6, 73906, 96302, 4113, 22426, 32, 213909, 57277, 119132, 21422, 38211, 9221, 99611, 44779, 32, 113889, 1982, 11556, 47332, 53414, 34654, 6235, 8903, 1982, 65482, 6, 170355, 17160, 17310, 7265, 7508, 6093, 11211, 108968, 3120, 9424, 54260, 63849, 171433, 25616, 213783, 14594, 8300, 54260, 4944, 43178, 17310 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12, 148932, 4231, 214766, 37826, 6235, 506, 40096, 1470, 6, 105235, 38249, 292, 3373, 26, 4852, 54260, 49008, 6235, 159696, 1211, 54595, 75230, 46590, 6, 54260, 23405, 44779, 4, 163139, 21066, 6, 15907, 37016, 66293, 220224, 57973, 40653, 8903, 212484, 2882, 15, 4852, 54260, 2882, 49413, 5, 8903, 7511, 2882, 109226, 12, 42572, 159870, 37016, 1211, 7265, 6, 105235, 39340, 44779, 1470, 6, 74004, 17017, 17310, 3120, 30109, 13845, 1211, 230764, 4151, 8300, 54260, 4944, 43178, 17310, 6, 238144, 2882, 711, 418, 4, 24464, 38211, 9221, 99611, 44779, 84475, 6, 78683, 29659, 48904, 13159, 15, 4852, 54260, 2882, 4879, 4, 73784, 72507, 292, 6, 113889, 140136, 16932, 1211, 1470, 6, 74004, 17017, 17310, 7265, 4151, 11211, 108968, 24464, 112216, 150541, 44779, 5, 5442, 184639, 9424, 141943, 105330, 5, 8300, 26612, 9183, 2205, 7508, 6093, 17824, 171428, 78278, 1892, 3069, 8903, 18406, 2200, 19532, 137377, 101470, 86520, 5, 8300, 39083, 1211, 106, 4, 9424, 4, 138, 4, 711, 4, 364, 5, 55242, 22849, 16011, 188301, 4113, 9213, 1982, 109226, 3120, 1285, 114955, 4, 4151, 135249, 3069, 8903, 22426, 59929, 18415, 3069, 67826, 28726, 27702, 36326, 23741, 7682, 109226, 12, 9424, 54260, 67873, 4, 115222, 2932, 5666, 29659, 183512, 1211, 4, 3069, 235210, 43178, 1644, 54260, 15388, 9424, 54260, 63849, 171433, 25616, 213783, 84475, 9424, 54260, 4944, 171428, 115222, 2932, 5666, 13497, 48904, 61621, 657, 75230, 2882, 4151, 132025, 8903, 8903, 1982, 114436, 9424, 39083, 220224, 6093, 6093, 15, 8300, 5, 1982, 5, 9424, 54260, 4944, 171428, 711, 4113, 22426, 1644, 3142, 9424, 119718, 75322, 43178, 2442, 54260, 15388, 9424, 23173, 109600, 35189, 41764, 2884, 2808, 54260, 112690, 39340, 34654, 183216, 15, 2442, 123073, 44779, 2205, 4151, 364, 54260, 4667, 2200, 2190, 198093, 3142, 22518, 54260, 18406, 21422, 36909, 53414, 132, 21847, 54260, 4667, 2205, 1470, 3523, 23173, 101296, 25207, 56170, 2050, 292, 6, 47351, 1470, 42572, 54260, 6093, 103023, 1211, 6, 80453, 52480, 111179, 119718, 15533, 52541, 37271, 88660, 20260, 2442, 29060, 15533, 52541, 1285, 207748, 146079, 46598, 24464, 3069, 8903, 18406, 2200, 6, 23173, 137377, 101470, 7265, 4151, 11211, 108968, 36909, 2884, 9424, 54260, 63849, 171433, 25616, 213783, 5, 15, 13342, 55049, 1211, 564, 54260, 2050, 3069, 8903, 18406, 4, 120202, 55049, 1211, 564, 54260, 2050, 19532, 137377, 101470, 26, 29771, 35189, 230764, 9424, 54260, 4944, 43178, 109226, 15, 8300, 238144, 6, 139485, 22426, 13159, 3120, 6, 170355, 12984, 564, 54260, 2050, 3069, 8903, 18406, 4, 42572, 20961, 120580, 54260, 18406, 564, 54260, 2050, 19532, 137377, 101470, 2077, 40653, 25391, 54260, 18406, 207748, 146079, 46598, 230764, 3069, 8903, 18406, 2200, 20961, 137377, 101470, 159308, 6681, 4113, 4944, 171428, 1285, 21776, 124740, 57277, 28320, 15, 144754, 7508, 6093, 11211, 108968, 3120, 9424, 54260, 1644, 5, 88660, 20260, 25207, 28320, 194, 11265, 72158, 23822, 52541, 7265, 9424, 54260, 1982, 43178, 109226, 10676, 87481, 186955, 3120, 1470, 75230, 7201, 119859, 1982, 13159, 5, 8300, 39083, 1211, 2205, 7508, 6093, 97995, 171428, 78278, 757, 1211, 5, 3069, 8903, 18406, 2200, 19532, 137377, 101470, 34654, 9424, 39083, 1211, 1054, 5, 3131, 5, 7508, 5, 1892, 95766, 7508, 6093, 17824, 65482, 710, 3120, 9424, 39083, 112707, 6, 121740 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30147, 31157, 2808, 3947, 75230, 1211, 34654, 6235, 7511, 2882, 109226, 3120, 10676, 6, 56052, 4, 199145, 2205, 7508, 6093, 42572, 54260, 6093, 103023, 29060, 54260, 1644, 4, 9356, 238144, 56880, 7746, 207748, 53521, 13159, 7265, 1470, 6319, 119273, 13845, 1470, 75230, 19532, 54260, 57619, 72158, 126700, 1211, 34654, 10705, 2865, 25491, 119718, 905, 80885, 9424, 23173, 4, 2205, 3069, 74004, 24621, 5927, 48904, 2932, 7265, 1285, 7038, 40920, 12483, 119055, 53414, 6, 37016, 75322, 43178, 43955, 13342, 235210, 43178, 105235, 1644, 17310, 3120, 67882, 16932, 137218, 119425, 54196, 6235, 7511, 2882, 109226, 230764, 8248, 12984, 2190, 36909, 12130, 3120, 6, 26394, 97594, 35189, 1211, 1470, 6235, 8903, 1982, 65482, 9424, 39083, 13342, 8903, 1982, 93497, 15, 8300, 5, 1982, 5, 190, 3056, 711, 292, 106, 4, 138, 116, 4, 1751, 2451, 106, 6, 1211, 13956, 5, 1982, 75322, 6093, 4484, 17310, 12, 1285, 9356, 8300, 54260, 4944, 43178, 17310, 3120, 4151, 9424, 39083, 209, 83066, 2882, 18225, 19532, 54260, 1211, 14081, 2702, 47833, 1470, 54260, 5927, 54260, 2882, 28726, 12984, 177157, 1982, 39083, 292, 6, 68558, 47833, 6, 208048, 1644, 15533, 5, 8300, 54260, 67873, 182731, 6, 96561, 96561, 7218, 35189, 76776, 57619, 1211, 95455, 3069, 8903, 18406, 2200, 19532, 137377, 101470, 2205, 4151, 97995, 171428, 3120, 9424, 39083, 1211, 78278, 209, 836, 1982, 54260, 2050, 3069, 8903, 18406, 24464, 10676, 6, 56052, 4, 163139, 9424, 5, 564, 5, 305, 292, 418, 192183, 12483, 1285, 114955, 40653, 128540, 1285, 3069, 8903, 1982, 93497, 74, 874, 26, 94741, 63020, 220224, 95298, 7243, 132025, 119718, 23173, 33225, 10676, 2190, 152656, 78278, 4852, 54260, 6, 159696, 67873, 5950, 54260, 1211, 3069, 70845, 4151, 2932, 54260, 1211, 5, 564, 54260, 2050, 19532, 137377, 101470, 24464, 10676, 78104, 22426, 4, 163139, 8300, 5, 1982, 5, 305, 292, 209, 3056, 4151, 212484, 1982, 23173, 3069, 6, 186145, 152656, 10676, 21776, 124740, 2882, 40096, 24464, 6, 23173, 137377, 101470, 132, 119718, 710, 21066, 42572, 13845, 2882, 78278, 209, 32, 247, 44438, 3373, 26, 4852, 21106, 1751, 109636, 16932, 160238, 104378, 1470, 192183, 226112, 1644, 37729, 13342, 8903, 18406, 5, 25491, 3131, 54260, 35465, 1470, 75230, 150020, 34557, 46598, 7265, 9424, 238144, 364, 183512, 1644, 109226, 6, 104664, 31157, 6428, 758, 80453, 15231, 27105, 125897, 27702, 23173, 1982, 29060, 17310, 24464, 1285, 9424, 39083, 1211, 12, 51748, 5, 3217, 483, 4, 209, 2200, 9213, 1982, 109226, 230764, 13342, 8903, 18406, 2200, 19532, 137377, 101470, 2205, 4151, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 78278, 73095, 6, 104664, 11156, 3111, 1644, 5, 6, 104664, 6, 104664, 31157, 5684, 35189, 20632, 1644, 119055, 77188, 19532, 54260, 23405, 73381, 54196, 187055, 47833, 6, 48904, 13497, 80453, 4113, 1982, 50856, 125897, 27702, 8300, 54260, 4944, 43178, 17310, 36909, 2884, 1470, 657, 54260, 2648, 123329, 6, 235210, 1644, 17310, 15, 95766, 4151, 145813, 45629, 4667, 24464, 1285, 114955, 137, 2932, 29766, 219947, 155, 16, 10069, 193012, 24464, 7508, 6093, 119055, 29771, 4667, 153, 96561, 806, 64044, 16629, 2648, 65482, 1470, 75230, 36909, 76776, 1982, 13159, 6, 31157, 31157, 106, 2648, 15748, 5, 223229, 215726, 4, 3069, 8903, 18406, 4, 19532, 137377, 101470, 2200, 4151 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 132025, 506, 54260, 1982, 3120, 3496, 115453, 8580, 4151, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 78278, 7085, 2808, 75230, 2702, 13458, 54260, 16932, 905, 1285, 17824, 171428, 3120, 9424, 39083, 1211, 40653, 209, 86520, 5, 31157, 12045, 2808, 163139, 40920, 123329, 6, 87311, 96302, 12, 1470, 75230, 16803, 54260, 67873, 6, 26394, 47526, 123329, 4, 9424, 5, 564, 5, 113743, 35465, 1470, 9424, 141943, 105330, 105235, 39340, 44779, 9213, 47709, 41764, 37016, 109316, 5, 15, 72841, 1211, 24464, 113743, 35465, 12, 364, 186955, 213952, 95455, 41764, 37016, 109316, 2205, 35189, 130154, 6093, 364, 84577, 1470, 144532, 13982, 54260, 12483, 2181, 206105, 874, 39083, 7265, 4838, 167048, 7682, 109316, 5, 1285, 37016, 1211, 24464, 167048, 7682, 109316, 6681, 12890, 16747, 2882, 18225, 7243, 4, 133190, 874, 26, 39293, 56169, 220224, 19532, 54260, 1211, 9424, 119718, 65689, 10069, 6, 105235, 39340, 44779, 194, 7511, 46685, 215726, 506, 183512, 1644, 33104, 49008, 2205, 7508, 6093, 17824, 65482, 7611, 24464, 9424, 39083, 1211, 78278, 7085, 364, 183512, 1644, 109226, 2205, 8300, 238144, 28320, 9424, 141943, 105330, 2200, 564, 54260, 4151, 1751, 159696, 1644, 24464, 9424, 238144, 28320, 9424, 141943, 105330, 86520, 5, 138, 2648, 8300, 54260, 67873, 182731, 6, 96561, 96561, 6428, 4667, 13342, 8903, 18406, 2200, 19532, 137377, 101470, 159308, 40653, 29659, 54260, 15388, 10676, 9424, 141943, 105330, 2205, 4151, 17824, 65482, 7611, 36909, 2884, 9424, 39083, 1211, 78278, 387, 6, 5, 31157, 31157, 15111, 2808, 3069, 23847, 54260, 2882, 17310, 73784, 40653, 29659, 54260, 15388, 10676, 9424, 141943, 105330, 3056, 4151, 2932, 112711, 64213, 34654, 8903, 8903, 1982, 65482, 9424, 39083, 78278, 4068, 27702, 506, 15350, 69096, 6, 159696, 67873, 19024, 1982, 54260, 220224, 1211, 226467, 3120, 9424, 39083, 1211, 95766, 4151, 1470, 54260, 5666, 105235, 1644, 17310, 3069, 1892, 47833, 101251, 36909, 101503, 2442, 29060, 1982, 23173, 4113, 11211, 108968, 3056, 95455, 113743, 35465, 13342, 235210, 43178, 105235, 1644, 17310, 3120, 67882, 16932, 710, 21106, 115468, 35189, 58573, 142429, 24464, 3069, 8903, 18406, 6428, 2451, 2702, 564, 84577, 54260, 2882, 2205, 10676, 4, 6150, 1285, 7369, 13497, 21660, 39083, 4151, 119859, 57619, 1211, 20033, 78278, 1470, 9424, 141943, 105330, 1470, 75230, 152656, 364, 26612, 1982, 2884, 3120, 7508, 6093, 9424, 238144, 16932, 19721, 2451, 304, 2451, 2442, 4, 292, 116, 292, 6428, 4, 2200, 1751, 109636, 16932, 21776, 4944, 171428, 20033, 3069, 73784, 9424, 141943, 105330, 10069, 21776, 29659, 3120, 4151, 9424, 238144, 16932, 9424, 39083, 12, 423, 2451, 3373, 2451, 4068, 35189, 58573, 142429, 24464, 19532, 137377, 101470, 3373, 2451, 2681, 564, 84577, 54260, 2882, 2205, 10676, 4, 6150, 20033, 26394, 97594, 35189, 1211, 1285, 7369, 1644, 18415, 9424, 39083, 230764, 1470, 9424, 141943, 105330, 2200, 1470, 54260, 112690, 39340, 4, 78956, 3120, 26394, 47526, 7682, 19532, 137377, 13342, 101470, 1285, 9424, 238144, 18415, 9424, 39083, 12, 190, 2451, 963, 423, 4, 6, 148346, 2451, 2702, 292, 209, 4, 92500, 1751, 109636, 16932, 21776, 4944, 171428, 20033, 3069, 1285, 120202, 195054, 54260, 2932, 18415, 2205, 1470, 220224, 2882, 1470, 54260, 112690, 165354, 787, 1982, 54260, 2050, 6319, 39083, 87442, 710, 119718, 1211, 212632, 3056, 220224, 6093, 1470, 3523, 34365, 192956, 196511 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 95455, 1470, 54260, 5666, 5666, 69801, 1211, 17537, 1470, 54260, 5927, 54260, 2882, 28726, 12984, 4, 6235, 117397, 235210, 12483, 2190, 152656, 24464, 1470, 75230, 2702, 215629, 364, 183512, 1644, 109226, 5, 81444, 4667, 45629, 63020, 18225, 7243, 120202, 119718, 20961, 152656, 6319, 54260, 1211, 87680, 2190, 136876, 3120, 46601, 4113, 4944, 171428, 15, 34557, 24295, 29766, 6, 120749, 125897, 194, 54595, 75230, 9424, 5, 1982, 5, 6319, 68558, 18225, 1470, 75230, 2702, 36909, 52541, 95455, 19532, 137377, 101470, 3373, 292, 423, 230764, 42572, 39083, 2932, 213952, 1211, 185527, 12, 20033, 6, 26394, 97594, 35189, 1211, 423, 230764, 209, 92500, 3373, 230764, 138, 2451, 758, 74, 3120, 1837, 6, 101470, 20033, 19532, 137377, 3373, 2200, 1751, 109636, 16932, 138, 4, 3056, 5950, 4852, 29771, 12, 209, 2451, 758, 292, 106, 135461, 292, 138, 292, 4068, 119718, 120467, 6, 238144, 16932, 46711, 213783, 2205, 123736, 36909, 16932, 19532, 75230, 2702, 2205, 17190, 164863, 229340, 1470, 75230, 67854, 34557, 13159, 144754, 1470, 119055, 6093, 16932, 18415, 152194, 4, 119055, 13845, 104238, 119055, 77188, 6, 195054, 54260, 35596, 37729, 34654, 216333, 77928, 44478, 564, 54260, 47833, 132025, 8903, 39293, 114436, 11211, 108968, 3120, 6, 44478, 6093, 5, 19024, 39340, 15388, 34654, 6319, 39083, 29771, 20260, 13159, 3120, 1982, 54260, 3131, 22426, 159993, 73784, 46601, 4113, 1982, 171428, 192183, 12483, 220224, 1211, 4151, 364, 75230, 22426, 2882, 2865, 174121, 117997, 42572, 20961, 187483, 2808, 75230, 6293, 67826, 28726, 657, 37016, 42180, 2702, 5, 35189, 119859, 57619, 1211, 48494, 203232, 3069, 8903, 18406, 2200, 19532, 137377, 101470, 2205, 7508, 6093, 17824, 171428, 24464, 9424, 39083, 1211, 78278, 387, 153, 14073, 148346, 20961, 153796, 65482, 1470, 75230, 36909, 2932, 34557, 13159, 6, 88125, 31157, 6, 5, 26612, 1982, 21066, 6, 86764, 31157, 10184, 5, 1982, 54260, 67826, 44478, 187483, 3056, 72577, 132025, 8300, 119718, 905, 141943, 1211, 1285, 6235, 7511, 2882, 17310, 24464, 6, 166198, 123103, 1211, 13342, 235210, 43178, 1644, 54260, 15388, 9424, 54260, 63849, 171433, 25616, 213783, 3069, 116, 4, 3069, 138, 4, 3069, 106, 4, 3069, 190, 4, 1470, 75230, 4667, 9424, 54260, 4944, 171428, 31249, 37016, 44779, 2205, 6, 166198, 2865, 152185, 3069, 235210, 43178, 1644, 54260, 2932, 17310, 2200, 1470, 75230, 2702, 86733, 1211, 3120, 112216, 22426, 9221, 5, 130745, 153796, 65482, 1470, 75230, 36909, 2932, 34557, 46598, 6, 96561, 96561, 4777, 4113, 617, 5, 223229, 215726, 2205, 4151, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 78278, 805, 5, 86070, 4113, 6, 26394, 47526, 123329, 2205, 4151, 17824, 171428, 24464, 9424, 39083, 1211, 78278, 805, 153, 31157, 3373, 119718, 26394, 47526, 123329, 2200, 1470, 54260, 112690, 39340, 2205, 7508, 6093, 17824, 65482, 9183, 24464, 9424, 39083, 1211, 78278, 7227, 1211, 6, 104664, 6, 134464, 130745, 21847, 54260, 18406, 657, 141847, 58032, 2200, 14856, 119364, 657, 141847, 58032, 6, 5, 31157, 6, 75230, 74197, 46685, 215726, 36909, 21106, 1211, 3120, 3069, 8903, 18406, 2200, 19532, 137377, 101470, 153, 96561, 3373, 5, 1211, 64044, 153796, 65482, 1470, 75230, 67854, 34557, 46598, 6, 5, 6, 5, 34654, 905, 78572, 2199, 19, 19672, 45429, 3373, 711, 6, 26, 8994, 2765, 24, 6, 4, 25603, 13159, 808, 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 ]
[ 2147, 5, 516, 257, 4, 2986, 11, 497, 54, 57095, 20879, 2628, 53, 54, 48, 846, 508, 257, 301, 23233, 11, 510, 5, 10893, 5380, 5, 7508, 1019, 116, 292, 18, 238, 2451, 660, 4, 54, 1573, 33, 35624, 48, 478, 85172, 979, 54, 24, 11, 13784, 701, 41764, 6, 5, 758, 2203, 292, 361, 6, 4, 963, 292, 5, 1837, 292, 190, 9934, 209, 1650, 238, 206, 19, 5, 3568, 76, 1771, 4, 10869, 2199, 5, 67861, 2414, 76, 694, 423, 292, 8994, 2765, 24, 6, 4, 75230, 4852, 120, 6, 1900, 2451, 5, 8408, 10016, 53, 115321, 3206, 4, 17, 1771, 1430, 24, 48, 2063, 846, 24948, 87, 7167, 18, 15390, 5, 1263, 5, 36, 5, 771, 5, 10, 6, 5, 304, 2203, 382, 292, 4068, 758, 6428, 209, 2203, 423, 6, 2063, 497, 5, 26223, 66, 229, 38893, 48, 478, 1883, 15473, 1290, 54, 14, 846, 26372, 5, 16116, 20493, 24, 876, 2594, 19, 7167, 1771, 18, 5, 116, 6, 1211, 190, 292, 6, 53489, 24, 8766, 10713, 694, 10, 8730, 1900, 1176, 42, 19, 17, 16495, 1294, 257, 10713, 808, 2451, 10060, 42, 19, 741, 257, 75, 1724, 846, 701, 31, 297, 157, 217, 18, 238, 432, 5, 259, 771, 38893, 432, 321, 377, 478, 4, 1274, 11, 3337, 6885, 2451, 31, 796, 537, 497, 299, 73925, 14093, 13233, 5, 300, 2451, 39, 5305, 568, 12238, 127, 269, 10443, 2230, 229, 42483, 8766, 23, 299, 10597, 6, 172060, 13159, 16, 939, 568, 497, 74777, 19, 299, 191, 568, 6885, 2451, 31, 29521, 1658, 846, 2451, 19, 1174, 5, 568, 508, 5, 25037, 5, 2080, 10713, 1793, 497, 76, 13, 229, 897, 42, 19, 7470, 423, 292, 382, 1470, 6885, 11, 10597, 1837, 229, 2819, 363, 292, 190, 24, 382, 653, 6, 4, 758, 292, 209, 653, 19, 423, 2062, 13139, 712, 1956, 1294, 24, 257, 121422, 7040, 2451, 23150, 5, 5, 966, 292, 138, 292, 209, 6, 4, 963, 292, 190, 292, 423, 148, 846, 2451, 10, 6, 4, 363, 14814, 10, 6, 5, 758, 229, 6333, 9635, 93, 53, 5, 59459, 501, 157, 11, 3521, 14, 74039, 18, 238, 1766, 399, 1470, 855, 42, 10060, 13139, 1132, 1565, 694, 116, 808, 206, 5, 257, 3931, 1300, 8770, 5264, 5, 22, 60626, 4083, 19, 2451, 42, 75, 31, 2628, 8770, 10, 11, 11, 4707, 8945, 2344, 292, 16870, 29060, 20894, 18, 8766, 568, 19047, 5, 24, 8766, 1294, 318, 1883, 5, 911, 1507, 266, 1236, 1468, 508, 2146, 5, 155, 4083, 2451, 53, 5, 32320, 24293, 28779, 104961, 1507, 42, 206, 931, 66, 305, 13159, 10, 27177, 42, 39, 6, 5, 5914, 478, 5, 11272, 568, 399, 654, 8615, 238, 5, 1059, 206, 4652, 5, 11866, 2037, 318, 6402, 701, 19672, 45429, 87, 67861, 2414, 76, 694, 1470, 24, 217, 1283, 478, 17, 478, 206, 54, 387, 14073, 14773, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 2062, 2451, 39, 76, 217, 5, 19630, 45118, 5046, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 5, 6, 5, 6, 5, 2478, 818, 2597, 4645, 17823, 5, 1059, 206, 2451, 5799, 478, 1300, 4, 5535, 39, 93, 33, 157, 47364, 11, 36108, 17, 478, 2514, 2451, 35613, 160, 6, 4, 304, 160, 6, 5, 363, 160, 6, 4, 617, 160, 6, 5, 758, 10, 1013, 238, 67, 6, 16461, 191, 7833, 10, 1539, 76233, 148, 47364, 11, 2451, 58235, 5535, 30786, 56, 2344, 116, 2808, 13159, 10, 60634, 2208, 76, 701, 85024, 4458, 2594, 5, 46659, 6, 5, 6, 5, 12853, 76, 1486, 52, 11, 43519, 568, 1723, 5, 1429, 701, 20251, 1021, 1054, 15807, 1283, 478, 1053, 9022, 54, 83348, 36053, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 805, 54, 17, 478, 1366, 377, 217, 42964, 478, 1054, 48, 2063, 14, 4, 27, 6, 5, 33647, 115250, 6, 5, 6, 5, 6, 5, 6, 5, 805, 142, 442, 7961, 19, 10, 11, 4097, 9928, 1054, 17, 297, 157, 2451, 5, 568, 87, 4115, 37176, 10519, 5, 129697, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 18676, 16210, 238, 5, 75, 6815, 7961, 701, 18676, 4, 818, 238, 568, 5, 2062, 1900, 19, 4, 2451, 7833, 66, 39, 2451, 13, 11, 2451, 36186, 4083, 2451, 11, 2451, 934, 5, 104, 238, 85, 2451, 66, 73, 87, 67861, 3602, 2451, 66, 73, 6, 5, 6, 5, 6, 5, 6, 5, 15732, 133249, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 2062, 2451, 192, 1486, 73670, 93, 5, 5, 3454, 27765, 292, 31, 478, 7961, 19, 808, 238, 2451, 31, 22158, 19, 3921, 5, 3373, 2702, 1470, 15266, 29161, 2451, 13408, 73, 104, 4526, 478, 27, 19, 2451, 5, 19, 4, 19, 1300, 4, 653, 2451, 748, 5, 116, 25933, 5, 14004, 16667, 905, 54, 102172, 2230, 5, 2451, 19, 694, 300, 2451, 93, 557, 2451, 8766, 4, 19, 48612, 5, 5, 1054, 10, 694, 206, 19, 116, 808, 5, 39, 5, 653, 157, 219, 2605, 14, 377, 478, 47924, 5, 2451, 14779, 501, 5305, 7961, 694, 6, 5, 73, 157, 7961, 6457, 2230, 701, 6, 5, 238, 2451, 55380, 191, 104, 19, 157, 4, 87, 14, 3581, 5, 653, 19, 17953, 10, 5, 2208, 1306, 14, 6, 5, 14236, 194, 41600, 7508, 617, 137, 304, 7508, 138, 6, 5, 363, 292, 116, 6, 4, 617, 106, 3373, 418, 1892, 18, 2451, 11, 2451, 19, 5, 6, 5, 42, 19, 8766, 2451, 238, 701, 96212, 2451, 127, 5, 209, 36, 2451, 3454, 9169, 42, 19, 1300, 4, 48, 5, 31, 87, 297, 157, 5, 48350, 2808, 501, 254, 5, 19, 497, 568, 292, 17, 5, 238, 5, 653, 10713, 2451, 27, 2947, 6, 5, 6, 5, 292, 5, 2451, 6402, 2451, 5, 5, 292, 5, 5, 2451, 7961, 19, 5, 13, 5, 5, 2451, 7961, 943, 2451, 701, 552, 85, 7961, 19, 5, 5, 6, 1211, 229, 238, 513, 2451, 57114, 73, 1054, 292, 19, 48362, 2451, 478, 1053, 7961, 19, 54, 836, 2451, 5, 42, 5, 54 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21071, 73, 808, 19, 979, 21004, 6, 4, 18415, 48350, 98, 127, 6, 5, 46598, 106, 9934, 6, 5, 910, 8864, 24762, 6431, 19, 160, 2451, 217, 157, 2451, 86, 1300, 4, 4083, 2451, 238, 2451, 18, 10016, 2628, 2451, 5, 5, 10, 979, 72068, 497, 5, 5, 300, 31, 24, 14, 818, 5, 73, 5, 6, 26995, 19, 6457, 808, 238, 2451, 31, 292, 771, 2451, 206, 19, 653, 2451, 42, 2451, 8766, 19, 2451, 5, 427, 292, 48899, 19, 54, 300, 7961, 31, 6, 5, 2451, 7961, 5, 4113, 4113, 46598, 229, 238, 8541, 157, 5, 2451, 19, 694, 16807, 478, 157, 808, 5, 539, 5, 98, 5, 25037, 209, 2301, 19, 2451, 7961, 10016, 86, 568, 13, 2451, 18, 292, 10713, 2451, 10713, 10016, 5, 25037, 93, 14, 5, 19, 229, 238, 170, 5, 2451, 10713, 694, 41764, 2884, 16, 10979, 2451, 10016, 2451, 54, 48, 478, 5, 11, 1771, 6333, 10001, 5, 1096, 701, 292, 818, 2451, 19, 5, 653, 7695, 19, 1434, 846, 292, 10287, 19, 39, 7569, 2451, 701, 292, 19, 160, 2451, 31, 2451, 5, 54, 5, 71, 19, 10713, 1174, 5, 12243, 6, 5, 6, 5, 10420, 660, 19, 694, 2451, 14, 5, 4838, 119718, 3373, 6, 5, 2208, 10713, 6, 5, 7961, 694, 2451, 5, 10713, 701, 5, 8766, 2451, 7961, 5, 54387, 233, 7274, 191, 19, 701, 96212, 6457, 6, 4, 910, 6, 4, 966, 6, 4, 1019, 6, 4, 1126, 209, 3620, 5, 501, 2451, 14, 2451, 7961, 93, 5, 653, 19, 12975, 6, 5, 6, 5, 6, 5, 209, 54, 12138, 2451, 19, 653, 2451, 73, 408, 478, 2808, 36, 2451, 238, 8541, 5, 31, 11, 7833, 106, 54, 2451, 19, 10713, 694, 12424, 6, 5, 6, 5, 153, 31, 568, 5, 516, 25037, 2451, 5, 191, 5, 2451, 5, 292, 478, 36, 9737, 43748, 34, 2451, 2199, 1306, 808, 8730, 882, 915, 19, 3198, 123142, 2932, 16, 87, 2451, 10713, 5, 19, 292, 3521, 15390, 1468, 93, 5, 2451, 5, 5, 14604, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 808, 5, 33995, 694, 119055, 2702, 19308, 6, 5, 6, 5, 6, 5, 28136, 2451, 13139, 18, 5, 14489, 19, 694, 5, 97024, 541, 19, 1991, 17943, 5, 19672, 11, 7833, 5, 229, 2451, 14, 1507, 7961, 14, 5, 106, 32074, 2451, 257, 660, 6, 5, 157, 8766, 1174, 905, 6, 3962, 19437, 2451, 478, 87, 6594, 19, 292, 31, 387, 15748, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 209, 15266, 19, 87, 6594, 127, 292, 19, 4097, 5, 10713, 6, 5, 7961, 19, 7961, 42, 8766, 93, 126, 5, 660, 19, 5, 653, 2451, 28725, 2451, 660, 5, 347, 5, 2199, 42, 206, 5305, 701, 8864, 7961, 4288, 93, 5, 6, 29060, 19916, 2451, 2628, 19165, 14, 2451, 85172, 127, 5, 915, 660, 16336, 5, 31, 5, 1054, 915, 19, 2451, 19, 5, 238, 5, 339, 5, 157, 11, 10597, 19916, 7961, 694, 5, 4307, 1294, 5, 19, 694, 5, 254, 19, 2451, 42, 127, 4, 1054, 28136, 7961, 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 ]
[ 7213, 22426, 2882, 36, 18, 8766, 10713, 1300, 4, 104, 19, 915, 19, 54648, 5, 16210, 701, 10, 2451, 10713, 42, 979, 2451, 19, 568, 5, 5, 1290, 7961, 31, 6, 5, 2451, 8766, 2451, 6, 5, 2451, 19, 292, 10713, 2451, 19, 7961, 28725, 694, 292, 19, 3812, 19, 10, 846, 324, 2199, 19, 5, 915, 19, 5, 18, 5, 2451, 3198, 5, 568, 5, 5, 660, 694, 694, 315, 5, 2451, 10713, 2451, 5, 73, 5, 1054, 292, 93, 5, 7961, 478, 87, 1771, 19, 5, 54, 6, 5, 1549, 15165, 399, 694, 163, 7961, 19, 660, 42, 19, 104, 5, 2451, 846, 14, 292, 15390, 7961, 4288, 5, 5, 711, 5332, 18415, 3568, 19, 2451, 14, 5, 502, 2451, 19, 48, 846, 2451, 73, 50828, 19, 39, 361, 128919, 6, 5, 6, 5, 6, 5, 2147, 2451, 93, 2451, 71, 2451, 5, 1059, 14, 7961, 10016, 2451, 8331, 549, 19, 701, 711, 229, 1334, 568, 1687, 93, 2061, 116, 4083, 8766, 5, 516, 2451, 19, 2451, 5, 8543, 502, 42, 5, 6, 5, 5305, 2451, 4288, 5, 31, 5, 13574, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 387, 54, 87, 14, 2451, 66, 292, 19, 4097, 7961, 14, 5, 1054, 292, 7961, 31, 5, 42, 19, 5, 2451, 31, 5, 191, 10016, 2451, 19, 5, 2451, 54, 915, 5, 7961, 73, 7961, 7961, 694, 4115, 7961, 34, 48, 846, 2451, 29270, 5, 31, 5, 5, 7961, 31, 17, 7961, 18, 6, 5, 2230, 2451, 18, 694, 701, 104, 10713, 2451, 5, 8947, 85744, 54, 6, 15110, 160, 5, 238, 5, 19, 2451, 4083, 1294, 808, 5, 19, 5, 9416, 905, 292, 5, 2451, 19, 2451, 5, 6, 5, 7961, 5, 191, 2451, 1054, 300, 5, 1127, 478, 6520, 24948, 5, 5, 10713, 653, 10443, 42, 19, 660, 19, 5, 19, 7961, 10713, 6, 5, 2451, 5, 2451, 238, 4, 9934, 22426, 22426, 1211, 11732, 26372, 5, 292, 508, 7961, 4288, 5, 915, 660, 5, 238, 2451, 157, 31, 5, 27, 284, 5, 276, 5, 568, 5, 5, 17481, 39, 5, 5, 418, 6, 5, 3996, 33, 2451, 1174, 4115, 5, 27, 18, 5, 19, 5, 31, 5, 2451, 13, 5, 979, 1090, 2451, 478, 4083, 2451, 71574, 35883, 24838, 501, 5, 14, 2451, 882, 1054, 6, 7961, 5, 42, 27, 6, 5, 6, 5, 32033, 2451, 4607, 5, 31, 2451, 219, 701, 915, 5, 2451, 238, 13408, 846, 1507, 292, 979, 748, 19, 6, 5, 7961, 18, 4083, 19, 5, 5, 15894, 76, 6402, 557, 17, 1771, 19, 2451, 694, 5, 6, 5, 93, 2451, 7961, 694, 653, 19, 3486, 14, 5, 15390, 7961, 5, 5, 300, 5, 7250, 19, 5, 5, 846, 87, 5, 19, 7961, 18, 19, 157, 2451, 5, 653, 7961, 516, 1234, 4, 653, 19, 2451, 5, 2624, 5, 11, 5305, 653, 19, 23311, 16635, 6, 5, 748, 93, 5, 8248, 114650, 29257, 1126, 16, 87, 2451, 42, 54544, 19, 5, 568, 5, 771, 1507, 5, 501, 5305, 8766, 694, 653, 19, 6, 10681, 2451, 309 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 127, 19, 4, 4083, 2451, 7961, 3521, 127, 10016, 5, 31355, 5, 568, 4083, 7961, 19, 249, 5, 318, 3929, 5, 14, 5, 32033, 818, 42, 19, 4, 31, 5, 19, 5305, 10, 979, 12393, 31, 653, 19, 160, 5, 2451, 19, 47, 5, 748, 8766, 1174, 915, 53313, 6, 5, 2451, 11, 1830, 45118, 1054, 940, 25767, 5, 19, 116, 5535, 916, 701, 66, 5, 18, 5, 501, 19, 7961, 31, 28136, 257, 148, 846, 10060, 568, 292, 18, 5, 28647, 18, 501, 299, 4307, 19, 2451, 4370, 157, 5, 420, 1096, 19, 2451, 660, 19, 157, 5, 8947, 940, 846, 85, 3190, 5, 29014, 46903, 478, 6, 5, 54326, 157, 10, 5, 14, 2451, 882, 653, 19, 160, 2451, 19, 2451, 15390, 87, 6594, 694, 157, 31, 6, 5, 6, 5, 6, 5, 841, 395, 309, 206, 5, 17, 13, 11, 7961, 5, 1658, 31, 20402, 2451, 3450, 568, 1274, 5, 292, 808, 5, 73, 45495, 13159, 1658, 2146, 2451, 16635, 5, 568, 478, 2062, 257, 19, 266, 14, 5, 100426, 11, 308, 4448, 5, 6, 5, 132, 966, 6, 5, 93, 191, 2451, 93, 5, 5, 160, 5, 1294, 31, 2628, 5, 915, 19, 2451, 939, 31, 11, 3915, 568, 7508, 114650, 249, 2451, 748, 76233, 653, 19, 5535, 191, 93, 5, 19, 6, 5, 47709, 16, 6, 4, 105801, 47, 365, 14093, 3373, 25603, 420, 5, 11, 2451, 1724, 35613, 808, 660, 42, 5, 2819, 139303, 148, 516, 11, 11, 3521, 292, 229, 15938, 46903, 478, 18871, 748, 19, 1372, 73095, 31714, 19, 10979, 238, 2451, 238, 5, 5, 568, 5, 5, 1427, 4036, 11, 2451, 11, 104, 82759, 3238, 1662, 6, 5, 6, 5, 6, 5, 229, 238, 170, 5, 157, 11, 5, 19, 701, 106, 19672, 5, 19, 701, 6, 4, 758, 54, 3616, 42964, 478, 1054, 1261, 3581, 395, 2451, 7961, 238, 5, 1054, 6, 52544, 2451, 318, 5, 292, 19, 37599, 13408, 33647, 98, 1830, 238, 694, 6, 5, 758, 6, 4, 617, 6, 4, 363, 6, 4, 304, 6, 4, 418, 29730, 7668, 519, 95222, 15390, 4083, 19, 5, 2832, 2451, 16635, 2451, 8766, 54, 1866, 10060, 1059, 10597, 4, 27765, 17, 481, 19, 2451, 701, 4083, 8766, 71, 7961, 846, 5, 188, 434, 5, 47364, 712, 19, 701, 17, 1771, 2451, 5, 2451, 157, 11, 2083, 5535, 11, 191, 2451, 701, 4083, 2451, 71574, 7961, 846, 24838, 292, 41643, 3035, 19, 123, 238, 4, 654, 8947, 2702, 56880, 808, 83018, 5, 1690, 5, 2451, 31, 7961, 7833, 201, 104, 19, 9030, 206, 568, 4, 12203, 141, 2208, 19, 701, 31, 11894, 516, 31, 17, 478, 11, 68336, 4652, 106, 1054, 67054, 22426, 2702, 87, 13, 2451, 157, 2451, 24948, 7961, 318, 5, 1053, 5, 31, 1043, 19, 653, 19, 4083, 7961, 5, 19, 5, 2230, 5, 1690, 53313, 653, 19, 6, 4, 2702, 69801, 2050, 6, 148346, 20315, 3780, 54, 846, 568, 31, 6520, 19, 701, 34068, 5, 47, 71, 1690, 19, 2451, 19, 2808, 160, 2451, 18, 7700, 12488, 5, 7961, 38893, 4, 292, 876, 27765, 653, 2451, 5, 2451, 7961 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6402, 157, 78829, 5, 93, 30797, 4043, 57114, 73, 568, 5, 36419, 952, 229, 44924, 76, 93, 5, 6, 149311, 26273, 19, 2451, 7833, 41764, 710, 98036, 13159, 418, 905, 4627, 6457, 16210, 5, 2451, 13700, 32206, 2702, 14088, 87, 1771, 19, 669, 306, 92790, 42, 19, 5, 2451, 11089, 701, 1645, 53, 26273, 19, 9051, 31, 4, 501, 549, 2451, 19, 701, 16870, 4113, 4113, 37531, 9635, 21942, 157, 3373, 36419, 2050, 653, 19, 5535, 33, 6457, 934, 808, 71, 701, 653, 9167, 5, 915, 2451, 19, 2451, 71, 5, 19, 2451, 846, 1507, 4083, 299, 26273, 19, 7961, 66, 73, 5, 4083, 15019, 5, 19437, 2311, 5305, 5332, 39293, 229, 238, 170, 5305, 2451, 66, 73, 568, 5, 10287, 19437, 5128, 13437, 11, 5305, 15004, 516, 11, 24, 54, 549, 7833, 106, 56329, 238, 170, 5, 35613, 10713, 5, 5, 116, 9934, 75230, 2702, 5831, 6402, 19, 5, 1793, 93, 2986, 2451, 5, 564, 16, 160, 5305, 2451, 4, 87, 1771, 2451, 28725, 157, 1122, 5, 87, 38893, 18, 46903, 1771, 4307, 238, 2451, 238, 568, 102, 549, 1372, 19047, 4, 6, 5, 1176, 2451, 10016, 5, 306, 5, 5, 846, 7668, 1054, 10, 1366, 1283, 478, 54, 6, 4, 963, 104, 2451, 71, 19, 9051, 13, 106, 229, 1399, 2451, 57114, 701, 808, 5, 408, 3038, 6, 4, 418, 6, 4, 304, 5016, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 209, 54, 17, 6815, 127, 10, 508, 5, 1283, 478, 1054, 190, 6, 5, 617, 6, 4, 363, 5, 2451, 73, 42, 5, 19, 24, 18, 5, 6594, 33191, 76, 54, 4115, 5, 927, 19, 4115, 5, 31, 38893, 519, 6520, 39, 238, 5, 53313, 5, 5380, 934, 1470, 6, 5, 2451, 7961, 191, 5, 16635, 6, 5, 609, 2808, 27631, 6, 5, 17537, 1468, 6, 4, 1468, 694, 18, 5, 36, 16127, 5, 5, 292, 18, 2208, 19, 2451, 6457, 5, 39, 6, 4, 2451, 42, 5, 5, 478, 5, 351, 2451, 42, 19, 694, 5, 5, 18, 254, 7961, 14, 5, 660, 5, 6, 5, 2451, 1724, 73, 4083, 42, 7961, 73, 2451, 191, 19, 87, 5, 73, 39, 2451, 39, 36, 14, 943, 2451, 720, 2451, 18, 5, 5, 1468, 1174, 18, 4, 304, 1644, 5, 418, 710, 12183, 292, 34310, 73, 5, 2062, 5, 653, 19, 8651, 36, 7961, 846, 5, 1096, 19, 59782, 6, 5, 119718, 6, 5, 710, 5, 153, 5, 1781, 9934, 2445, 4, 36, 5, 5, 568, 5, 71, 106, 1644, 12183, 15654, 910, 29566, 2648, 418, 1468, 6, 5, 2451, 19, 5, 710, 8318, 758, 13028, 2451, 31, 2451, 14, 2597, 15622, 6746, 87, 2451, 7961, 5, 5, 19, 2451, 18, 2451, 6428, 5, 2442, 292, 5, 7961, 19, 1468, 905, 5, 710, 165826, 418, 26425, 6, 7961, 757, 506, 1470, 3413, 6, 5, 905, 6, 5, 418, 1211, 5, 1054, 6, 5, 710, 5, 5, 1468, 75230, 418, 5, 292, 5, 19, 5, 7961, 5, 1126, 1468, 42, 2451, 7961, 19437, 19, 2451, 9703 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10, 1605, 820, 95510, 7049, 67, 217, 268, 378, 1723, 127427, 12, 54566, 268, 378, 211232, 9956, 94940, 12, 6, 3, 3337, 7, 6563, 45589, 42687, 50579, 19211, 2060, 3668, 268, 378, 117772, 80217, 12, 378, 25, 10476, 217, 1495, 4, 32129, 7816, 4, 156999, 8363, 5843, 25, 86245, 378, 131514, 15300, 12, 62, 1605, 122, 1071, 7928, 245389, 268, 6, 1211, 6, 13497, 54260, 17310, 3056, 8903, 159696, 1211, 1470, 6, 61397, 12415, 146873, 5, 70845, 3056, 133190, 42493, 6235, 159696, 1211, 73784, 68889, 64213, 4151, 6, 148346, 9183, 90848, 25616, 40096, 54561, 2050, 4, 874, 98071, 2882, 119055, 13845, 12984, 9934, 23269, 2882, 2882, 3111, 31467, 4852, 5666, 7511, 49597, 4484, 149364, 1644, 212915, 1470, 98071, 4852, 34076, 29259, 4667, 6, 23173, 75230, 2702, 8903, 36909, 29766, 1211, 36324, 75230, 148346, 2442, 54260, 2882, 4, 2200, 95455, 364, 23173, 8580, 37826, 70845, 6235, 4852, 171433, 2050, 4, 6150, 1470, 75230, 4667, 7369, 4, 48494, 2882, 59461, 4, 178748, 7746, 3131, 75230, 1211, 7508, 98071, 40920, 1211, 4838, 4667, 5332, 22426, 13159, 5, 2205, 4151, 6319, 59929, 98071, 2442, 2451, 119718, 120467, 119055, 46598, 153585, 874, 98071, 2882, 1470, 98071, 1982, 32, 2808, 98071, 8300, 16932, 194885, 1211, 220224, 6, 148346, 54260, 20315, 4838, 6293, 9424, 29766, 46598, 27, 2451, 123736, 148346, 6093, 4151, 123329, 2451, 506, 64260, 9934, 98071, 4667, 7508, 40096, 59461, 2451, 159696, 2442, 6, 238144, 2702, 10676, 163139, 49597, 36909, 21295, 1211, 2865, 39083, 2451, 36909, 23173, 6428, 12, 141879, 193012, 3069, 31467, 2442, 98071, 4484, 1470, 33809, 2865, 8903, 75290, 2882, 3069, 31467, 153585, 6, 186955, 1211, 6235, 94741, 20260, 2451, 119718, 39083, 2882, 1470, 98071, 13497, 6093, 13159, 84577, 6235, 159696, 1211, 3069, 31467, 163139, 49597, 46053, 4, 163139, 49597, 6319, 33809, 63532, 9934, 23269, 63532, 3111, 31467, 4852, 117260, 49597, 4484, 149364, 22849, 47351, 8300, 33809, 6, 148346, 48904, 46985, 98071, 7511, 171433, 98071, 1982, 32, 2808, 33809, 1211, 163139, 49597, 7369, 3523, 54260, 2882, 36324, 75230, 18583, 148346, 29259, 4151, 6, 148346, 98071, 68959, 36326, 874, 98071, 2882, 4151, 4269, 59929, 6, 23173, 4838, 506, 54260, 2050, 4, 2808, 33809, 1211, 7369, 6, 148346, 92605, 905, 20911, 7508, 12, 6319, 33809, 22426, 4484, 13159, 6, 96302, 49209, 4, 199145, 43649, 54260, 12483, 6428, 99766, 76961, 166464, 1470, 33809, 1211, 119718, 120467, 76961, 874, 39083, 9424, 98071, 12483, 220224, 3069, 31467, 153585, 1470, 33809, 36909, 46685, 4484, 235210, 4484, 29259, 2882, 4, 1470, 98071, 148346, 150839, 75230, 22426, 2882, 16175, 92605, 21660, 33809, 1644, 98071, 148346, 10676, 4, 199145, 4231, 53414, 874, 39083, 4151, 87311, 49008, 220224, 1470, 98071, 1982, 4, 36324, 1470, 98071, 1211, 1470, 54260, 1211, 1751, 54260, 119132, 6, 128750, 98071, 2865, 29766, 15388, 42542, 7369, 1470, 75230, 4667, 6, 148346, 1644, 29259, 148346, 1211, 1470, 98071, 1211, 215031, 6, 71804, 23269, 4, 36324, 7369, 170479, 9934, 98071, 4667, 81444, 235311, 26612, 159696, 4484, 128540, 1470, 98071, 1211, 1470, 54260, 59461, 42572, 33809, 1211, 1285, 49597, 2648, 29771, 4852, 98071, 39340, 6319, 33809, 22426, 4484, 13159, 2451, 35189, 39293, 2882, 7369, 162726, 33809, 34709, 33809, 23405, 36909 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33809, 83182, 238144, 28320, 5332, 22426, 13159, 1470, 54260, 119132, 4838, 115556, 4, 199145, 34076, 29259, 4667, 37826, 1470, 98071, 2050, 4838, 6, 148346, 1644, 75230, 23269, 97634, 1211, 4151, 9934, 98071, 78683, 61621, 1470, 98071, 1211, 6319, 137377, 12, 4269, 119718, 21106, 2648, 6235, 25391, 98071, 12483, 4, 119055, 33809, 37826, 7369, 21776, 2865, 90848, 4852, 98071, 38249, 8903, 104149, 38, 1470, 33809, 1211, 34076, 29259, 4667, 37826, 7369, 9934, 98071, 4667, 4151, 87311, 13497, 12, 3523, 33809, 6, 101328, 4, 95455, 1470, 98071, 4852, 81444, 4667, 7369, 4, 4151, 39293, 1644, 148346, 98071, 75290, 4, 123736, 148346, 6093, 163139, 49597, 7369, 37826, 9934, 98071, 4667, 6235, 148346, 98071, 28320, 38, 220224, 6093, 1751, 57277, 24152, 6235, 148346, 98071, 28320, 9934, 98071, 4667, 27, 2808, 33809, 1211, 4, 4151, 98071, 75290, 4, 36324, 75230, 6, 186955, 6235, 119718, 29766, 1211, 27, 42542, 95455, 874, 43178, 44779, 153585, 4, 7369, 170479, 4838, 26612, 29771, 46598, 151614, 148346, 1211, 32, 1470, 98071, 4852, 7369, 41764, 2808, 119132, 3069, 31467, 23269, 5666, 48904, 49008, 3069, 31467, 10676, 115374, 1470, 33809, 1211, 7369, 37826, 23269, 128750, 35596, 12, 2451, 1054, 29259, 66293, 1470, 98071, 2442, 42493, 6235, 17645, 46053, 1751, 75230, 1211, 27702, 24621, 18583, 7508, 12, 874, 98071, 22849, 75322, 29789, 23173, 1211, 2205, 119718, 23173, 36326, 159696, 2442, 42572, 4113, 16583, 5, 5666, 5666, 12, 2451, 23050, 39293, 46053, 5, 2451, 3523, 33809, 6, 137218, 4, 6319, 75230, 2050, 49920, 6255, 1470, 54260, 6093, 93943, 98071, 30750, 4, 6, 148346, 8580, 1470, 98071, 4667, 1751, 75230, 1211, 9934, 5, 75578, 5, 1470, 98071, 68959, 29259, 66293, 4838, 657, 29766, 168155, 6, 159696, 148346, 6093, 2205, 4838, 46685, 42572, 75322, 98071, 1644, 17645, 1470, 98071, 4852, 1285, 49597, 127209, 54260, 1211, 5, 758, 2451, 564, 26, 6, 48775, 1982, 59461, 12, 2451, 85465, 203232, 1470, 98071, 2050, 4151, 4484, 35596, 1470, 75230, 4667, 1285, 66168, 1211, 2205, 37826, 1470, 98071, 2050, 128750, 29259, 13497, 44779, 1470, 75230, 2050, 23269, 66293, 2442, 87442, 6428, 12, 364, 84577, 2451, 186955, 9934, 29259, 16667, 1470, 98071, 2442, 6235, 119718, 29766, 1211, 4944, 4, 7508, 40096, 59461, 5, 2865, 29259, 1211, 6, 57277, 71512, 37826, 1470, 98071, 2442, 1470, 75230, 2702, 8903, 4944, 71577, 2882, 42572, 33809, 1211, 874, 75230, 1644, 2451, 506, 64260, 23050, 170355, 2932, 23822, 40096, 59461, 2451, 2808, 98071, 2442, 9934, 29259, 13497, 1470, 75230, 4667, 3523, 98071, 2882, 4231, 98071, 23405, 6093, 6235, 119718, 29766, 1211, 5, 6235, 159696, 1211, 6, 75322, 39083, 4838, 4269, 33809, 2882, 21660, 29259, 2882, 4, 4838, 5, 163139, 49597, 874, 41595, 1470, 98071, 2442, 32, 2451, 6, 101328, 2451, 101328, 2451, 1982, 26, 7508, 40096, 59461, 4, 1470, 98071, 56169, 1470, 98071, 4852, 6, 21106, 5666, 36909, 21106, 2702, 6, 148346, 13159, 6093, 5, 2451, 6, 101328, 4, 123736, 148346, 6093, 46711, 75230, 51723, 151614, 148346, 1211, 3523, 54260, 1211, 215031, 21776, 159696, 4, 36324, 220224, 6, 238144, 46053, 133190, 21776, 2050, 141943, 21660, 98071, 1644, 2205, 220224, 55242, 12483, 6, 12130, 2181, 6, 159696, 2932, 5, 2205, 7369, 1470, 98071, 4852, 1470, 75230, 4667, 3523, 98071 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2882, 1470, 75230, 2702, 23269, 4852, 54260, 2882, 1982, 98071, 2050, 6319, 54260, 1211, 7508, 75230, 56880, 5, 2451, 123736, 148346, 6093, 21776, 2050, 6, 159696, 2932, 56040, 18225, 1285, 68697, 2932, 54260, 1211, 5, 2451, 6255, 6, 54260, 448, 4, 27702, 159696, 2442, 7508, 98071, 66168, 1211, 4, 6255, 1054, 54260, 2702, 4, 123736, 148346, 6093, 8947, 119055, 39083, 2882, 7746, 710, 53414, 5, 5, 1470, 98071, 2442, 18583, 13497, 54260, 2882, 32, 1054, 29060, 133190, 4, 199145, 151614, 148346, 1211, 564, 98071, 2442, 9934, 98071, 4667, 123736, 4838, 159696, 4484, 8903, 194734, 21295, 874, 98071, 2882, 1470, 33809, 16747, 168155, 42572, 98071, 1644, 120467, 29771, 36909, 98071, 4113, 35830, 4838, 364, 33809, 23405, 6093, 98071, 38249, 6, 87311, 15388, 27, 6319, 33809, 63532, 220273, 2865, 98071, 2882, 20033, 1470, 98071, 5666, 54260, 119132, 874, 98071, 2882, 98071, 4484, 8947, 1211, 5, 2181, 119055, 29060, 19302, 37016, 1211, 18583, 76961, 51723, 4, 220224, 23822, 33809, 98071, 4484, 5, 112052, 2050, 4, 112052, 2050, 27, 119055, 46598, 1470, 98071, 2442, 4151, 238144, 165607, 4151, 8300, 54260, 67873, 4, 25933, 203232, 11265, 67882, 1982, 2050, 4, 2442, 12, 2181, 1470, 98071, 4852, 1470, 29259, 4667, 6235, 5666, 48904, 49008, 6428, 12, 6, 29259, 2050, 5, 67882, 28726, 199145, 27, 36324, 1470, 98071, 2442, 6428, 23173, 159212, 220273, 18406, 46711, 33809, 10918, 49597, 1982, 3523, 98071, 2050, 22753, 18406, 4, 27702, 159696, 2442, 7508, 98071, 68867, 7611, 4, 1470, 98071, 4667, 119055, 13845, 1470, 29259, 4667, 9934, 29771, 119718, 98071, 4852, 29771, 3523, 98071, 2882, 137377, 212484, 1211, 5, 95766, 36324, 220224, 151614, 148346, 1211, 3523, 54260, 1211, 6235, 234221, 1470, 98071, 1211, 4269, 8580, 1470, 98071, 5666, 54260, 119132, 4, 37826, 125523, 7508, 40096, 59461, 21106, 8580, 6, 61397, 29060, 2451, 26612, 6293, 215031, 874, 98071, 12130, 37826, 1470, 98071, 2050, 1285, 49597, 68867, 64659, 1211, 132025, 8903, 226112, 152656, 12, 2451, 76961, 6, 21106, 18415, 6, 148346, 233364, 194734, 9424, 48350, 54260, 2882, 1470, 33809, 1211, 21422, 5666, 80453, 54260, 2050, 6235, 119718, 29766, 1211, 6, 5, 2205, 5332, 36909, 1644, 4852, 29259, 49008, 1751, 75230, 1211, 6, 57277, 39340, 6, 23173, 7369, 6, 159696, 21295, 3523, 98071, 97634, 27, 199145, 170479, 1470, 98071, 4667, 1470, 29259, 4667, 6, 225975, 1211, 4, 1982, 26, 7508, 98071, 66168, 49597, 7611, 4, 1470, 98071, 4667, 6, 148346, 98071, 1211, 6, 57277, 39340, 3069, 31467, 128750, 98071, 35465, 3069, 31467, 6, 148346, 26612, 8903, 8903, 49008, 9934, 98071, 4667, 874, 98071, 2882, 4838, 115374, 4, 119718, 120467, 37826, 874, 98071, 2442, 4151, 87311, 13497, 2181, 6, 75322, 39083, 5, 6, 75322, 39083, 98071, 39340, 27702, 238144, 2442, 98071, 2050, 194885, 1211, 81444, 4667, 4113, 22426, 13159, 6235, 159696, 1211, 3069, 31467, 5666, 75230, 36909, 8903, 148346, 33809, 16747, 1211, 1470, 54260, 23269, 874, 98071, 2882, 6428, 12, 221895, 6, 57277, 39340, 6, 148346, 4113, 63593, 13159, 874, 98071, 21338, 29259, 148346, 1470, 33809, 1211, 874, 98071, 2882, 17190, 148346, 1211, 5, 1470, 98071, 2442, 6235, 20315, 185226, 1285, 49597, 19302, 4113, 22426, 4, 199145, 874, 98071, 2442, 151614, 148346, 1211, 6, 148346, 92605, 33809, 51723 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42572, 33809, 1211, 25207, 2050, 19302, 54260, 119132, 123736, 36909, 98071, 89930, 1644, 32, 7369, 6, 66293, 54260, 2882, 874, 12, 2442, 6, 148346, 98071, 4852, 364, 29259, 13497, 4838, 17190, 148346, 6093, 12, 75290, 18583, 29257, 1470, 54260, 15388, 5, 4838, 4667, 4, 1470, 98071, 4852, 95455, 6235, 159696, 1211, 4838, 6, 90848, 17645, 27, 2808, 33809, 1211, 36324, 7508, 40096, 59461, 37826, 7746, 4231, 75230, 1211, 6235, 506, 40096, 6235, 3111, 31467, 2932, 6, 23173, 71577, 61397, 29060, 42572, 33809, 1211, 364, 23173, 1211, 132, 94741, 1211, 194885, 1211, 220224, 564, 54260, 1211, 6235, 39293, 46053, 6, 148346, 26612, 48494, 2882, 59461, 1211, 1470, 98071, 83182, 54260, 2050, 247, 37826, 7369, 23269, 4852, 29771, 13497, 12, 2451, 1470, 98071, 8300, 16932, 4151, 8300, 54260, 21295, 11265, 4, 119055, 12, 1470, 98071, 1211, 1470, 29259, 4667, 6235, 240863, 12483, 6428, 12, 9424, 29259, 2882, 32, 2451, 6, 59929, 26612, 4667, 9424, 4151, 8300, 54260, 67873, 2451, 506, 64260, 23050, 4852, 29771, 13497, 1285, 49597, 66168, 64659, 1211, 4, 3523, 98071, 2882, 151614, 148346, 16747, 98071, 4484, 6319, 29259, 1211, 1982, 54260, 23269, 4484, 1470, 98071, 148346, 6093, 98071, 4484, 3069, 31467, 18583, 3131, 80453, 54260, 28320, 9934, 98071, 4667, 6, 159696, 15388, 9934, 5666, 4667, 2451, 40096, 36324, 75230, 27, 163139, 49597, 76961, 51723, 27, 2451, 163139, 49597, 76961, 51723, 32, 3523, 33809, 4, 1470, 75230, 148346, 1470, 98071, 2442, 9934, 29259, 13497, 1470, 98071, 56169, 3523, 98071, 2882, 1470, 33809, 36909, 195054, 54260, 98833, 3069, 31467, 4151, 5, 8300, 54260, 67873, 4, 6, 159696, 67873, 874, 98071, 2442, 4838, 54260, 4667, 3523, 98071, 2050, 3523, 75230, 28320, 5, 8947, 6, 186145, 159212, 6, 75322, 39083, 4, 4838, 115374, 1470, 98071, 163177, 159696, 2442, 3069, 31467, 7508, 52541, 5, 564, 98071, 61621, 95455, 120202, 1644, 54260, 15388, 6, 23173, 47833, 4838, 83182, 3131, 874, 39083, 5, 1470, 98071, 4667, 6, 148346, 98071, 1211, 506, 98071, 104238, 4, 6, 47351, 9934, 29771, 119718, 98071, 4852, 29771, 6, 159696, 67873, 874, 98071, 2442, 9934, 98071, 4667, 6, 186145, 152656, 5, 1470, 33809, 16747, 168155, 4838, 13982, 13159, 6, 238144, 16803, 1470, 98071, 33716, 75230, 1211, 5, 199145, 4, 3523, 98071, 2882, 36324, 75230, 32, 2451, 4838, 35189, 26612, 148346, 4113, 4, 2451, 506, 64260, 6235, 225975, 2882, 1285, 49597, 14857, 98071, 8580, 2451, 119718, 120467, 42542, 1470, 98071, 4667, 54745, 1211, 6, 5, 151614, 148346, 1211, 94741, 39340, 15388, 32, 1470, 98071, 148346, 150839, 75230, 22426, 2882, 4, 119055, 12483, 1470, 98071, 4667, 151614, 148346, 1470, 98071, 1211, 6, 87311, 95564, 159696, 4, 42542, 18225, 6, 225975, 1211, 4, 220273, 7511, 158652, 54260, 1211, 6, 148346, 233364, 194734, 5, 2451, 3523, 33809, 4, 1470, 98071, 4852, 4151, 8300, 54260, 21295, 564, 64260, 5666, 4, 199145, 16175, 33809, 2882, 1470, 98071, 2442, 1470, 98071, 1211, 6, 87311, 95564, 159696, 19532, 1211, 163139, 49597, 71804, 23405, 220224, 13497, 1470, 98071, 2442, 1751, 75230, 1211, 81444, 32, 2451, 6, 148346, 26612, 4838, 874, 232187, 2882, 2451, 506, 40096, 7508, 98071, 2050, 16629, 64659, 1211, 4838, 152656, 43649, 13845, 6235, 101296, 40920, 10676, 564, 43178, 148346, 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 ]
[ 12, 101328, 4, 6, 148346, 26612, 4838, 874, 232187, 2882, 5, 1470, 33809, 1211, 199145, 6255, 16175, 81444, 32, 2451, 506, 64260, 1285, 49597, 66168, 49597, 1211, 6150, 75230, 163139, 49597, 4838, 236376, 6235, 97634, 1211, 4, 9424, 98071, 7369, 170479, 6, 225975, 1211, 9424, 98071, 3523, 54260, 1211, 4, 1470, 33809, 1211, 4, 6, 238144, 4852, 2882, 1470, 75230, 2702, 4, 6, 148346, 26612, 31249, 98071, 2702, 16747, 98071, 4484, 23173, 6, 101328, 4, 37826, 7369, 6235, 225975, 2882, 12, 2451, 4151, 238144, 165607, 16175, 33809, 1470, 98071, 4667, 125523, 220273, 7511, 49597, 2882, 5, 1470, 98071, 4667, 8248, 31467, 4667, 6, 23173, 148346, 29060, 5, 2451, 3523, 33809, 4, 1470, 33809, 1211, 1470, 98071, 2442, 6235, 36909, 98071, 13497, 32, 2451, 3523, 54260, 1211, 4, 1470, 98071, 4667, 6235, 36909, 98071, 1211, 3523, 98071, 2882, 5, 6, 194734, 21295, 4838, 54260, 4667, 207748, 4, 1470, 98071, 4667, 6235, 36909, 98071, 1211, 3523, 98071, 2882, 5, 1751, 159696, 95064, 119718, 29766, 1211, 874, 98071, 2882, 6, 23173, 148346, 29060, 1470, 98071, 1211, 6, 87311, 95564, 159696, 5, 2451, 119055, 23173, 2882, 9934, 36326, 2451, 506, 64260, 5332, 22426, 13159, 7508, 40096, 59461, 4151, 238144, 165607, 6235, 234221, 1470, 98071, 1211, 6, 148346, 26612, 236376, 1211, 12, 2451, 2808, 98071, 2442, 37826, 125523, 3523, 98071, 2882, 18583, 8903, 46053, 1470, 29259, 6093, 42572, 26612, 4667, 32, 2451, 36324, 13845, 107581, 6, 170355, 12984, 18583, 8903, 16803, 18225, 42493, 5, 2451, 119055, 13845, 1470, 98071, 4667, 1470, 54260, 4667, 4, 6, 94741, 40920, 874, 98071, 2442, 4, 51678, 3069, 31467, 506, 13845, 152656, 4838, 148346, 98071, 35044, 5, 29771, 148346, 6093, 81444, 37826, 7508, 40096, 59461, 1211, 95455, 119055, 29259, 148346, 1751, 75230, 1211, 6, 71804, 23405, 6235, 506, 40096, 6, 190135, 26612, 42572, 48775, 8903, 6, 159696, 15388, 4151, 6, 23173, 148346, 29060, 6428, 99766, 1211, 874, 98071, 2882, 10676, 3523, 29259, 46598, 18583, 119718, 21106, 16932, 4, 2205, 21106, 8580, 37826, 9934, 98071, 9934, 98071, 4667, 42572, 33809, 1211, 1470, 98071, 2050, 6, 23173, 4838, 117902, 2442, 119055, 6093, 16932, 3523, 98071, 2882, 241997, 4151, 119718, 23173, 28320, 5, 2451, 4838, 148346, 98071, 14856, 6, 225975, 2882, 6, 23173, 119055, 29259, 148346, 6093, 2451, 506, 64260, 22753, 18583, 98071, 148346, 1644, 6235, 506, 40096, 1470, 152656, 6, 212915, 36909, 23173, 153585, 3523, 98071, 2882, 1470, 33809, 36909, 46685, 4484, 235210, 4484, 29259, 2882, 3069, 31467, 1470, 98071, 2442, 42572, 48775, 8903, 2451, 2865, 183718, 148346, 98071, 1644, 4, 36324, 220224, 3496, 71577, 1211, 4852, 98071, 4667, 3069, 31467, 5666, 75230, 6293, 4, 1470, 98071, 4852, 1470, 75230, 4667, 3523, 98071, 2882, 3069, 31467, 18583, 4852, 98071, 16747, 98071, 38249, 5, 6428, 54260, 1211, 64890, 16803, 119055, 29060, 3523, 98071, 2882, 4838, 177282, 75230, 152656, 4, 506, 29771, 6293, 1470, 98071, 4667, 4, 2451, 7511, 49597, 2882, 37922, 6093, 4, 3496, 26612, 75230, 6093, 7508, 98071, 2050, 7511, 64659, 1211, 32, 7369, 37826, 6428, 99766, 1211, 6, 47351, 1470, 54260, 2702, 37016, 2865, 98071, 2882, 4838, 3523, 29259, 46598, 18583, 119718, 21106, 16932, 4, 42542, 1470, 98071, 4667, 6, 148346, 26612, 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 ]
[ 98071, 2050, 6319, 29259, 1211, 9424, 238144, 119055, 6093, 16932, 3523, 98071, 2882, 23173, 75230, 131002, 98071, 15388, 5, 2451, 6319, 172398, 2882, 6, 23173, 75230, 131002, 98071, 15388, 4, 6319, 172398, 2882, 2451, 506, 64260, 9934, 98071, 4667, 7508, 40096, 59461, 4838, 6, 75290, 6235, 97634, 1211, 2808, 75230, 4667, 3069, 31467, 1470, 98071, 2442, 2451, 2808, 98071, 4667, 42542, 1285, 49597, 2442, 125523, 6319, 29259, 1211, 6, 170355, 4667, 3523, 98071, 2882, 6, 225975, 1211, 4838, 6293, 19302, 29766, 5, 874, 98071, 16803, 75322, 58032, 13845, 1470, 98071, 4667, 9934, 98071, 4667, 6428, 99766, 1211, 6, 71804, 23405, 3523, 98071, 2882, 1470, 54260, 5666, 234221, 4, 874, 172398, 2882, 9934, 98071, 4667, 7508, 98071, 40920, 1211, 5, 3111, 31467, 2451, 101328, 4, 7508, 40096, 59461, 2702, 119055, 29259, 148346, 4, 37826, 133190, 6, 148346, 93704, 23173, 159212, 364, 53414, 24464, 1470, 98071, 2050, 4838, 186046, 159696, 2442, 16932, 4, 1470, 33809, 1211, 1470, 98071, 56169, 37826, 9934, 98071, 1751, 75230, 1211, 132025, 8903, 506, 75230, 148346, 1211, 12, 2451, 76961, 2865, 39083, 874, 98071, 2882, 1285, 49597, 2442, 36324, 75230, 4, 7508, 12, 1470, 54260, 59461, 6428, 23173, 36909, 16803, 1470, 33809, 107182, 33809, 2050, 22753, 18406, 7508, 12, 23173, 13497, 28726, 4944, 4484, 29259, 2882, 5, 2451, 48494, 203232, 151614, 148346, 1470, 98071, 4667, 1751, 75230, 1211, 16175, 75230, 4852, 13497, 874, 39083, 221387, 2451, 506, 64260, 6235, 225975, 2882, 7508, 40096, 23269, 48775, 6, 148346, 2442, 75230, 23269, 168155, 2451, 8300, 33809, 1644, 98071, 148346, 10676, 37826, 1285, 49597, 2442, 36324, 75230, 132025, 8903, 3131, 22426, 23173, 2882, 1470, 98071, 148346, 6093, 8300, 33809, 2442, 29259, 46053, 2808, 33809, 16747, 4852, 10676, 10498, 33809, 13159, 32, 1470, 98071, 1211, 6, 101328, 4, 6, 159696, 15388, 6, 23173, 148346, 29060, 18583, 1470, 29259, 4667, 151614, 148346, 1211, 874, 98071, 2442, 6, 61397, 46598, 5, 905, 32887, 22444, 6, 12483, 21776, 2702, 42542, 34076, 29259, 104238, 153585, 4, 36324, 4151, 36909, 33809, 1211, 170479, 5332, 22426, 13159, 6, 23173, 75230, 95564, 33809, 51723, 5, 1470, 98071, 2442, 1054, 29259, 13497, 36909, 23173, 25391, 98071, 148346, 1211, 4838, 6293, 7508, 6093, 6, 148346, 98071, 68959, 36326, 32, 2451, 5, 6, 101328, 5, 2451, 1470, 98071, 4852, 4269, 33809, 2882, 5, 1470, 98071, 4667, 151614, 148346, 4838, 6, 148346, 233364, 198093, 67882, 710, 82576, 4838, 6293, 1470, 54260, 59461, 4838, 81414, 88660, 57277, 163177, 36909, 26612, 148346, 2442, 98071, 4484, 4, 4838, 6, 80453, 98071, 119718, 40096, 6093, 5, 119055, 13845, 1470, 98071, 4667, 1470, 29259, 4667, 6235, 148346, 1211, 4838, 6319, 119718, 98071, 2882, 109316, 3069, 31467, 2808, 98071, 2050, 5, 7369, 37826, 874, 98071, 2442, 1285, 49597, 193012, 4151, 8300, 54260, 21295, 4, 36324, 220224, 6, 101470, 1470, 98071, 56169, 6, 26394, 47526, 98071, 75290, 5666, 29259, 4113, 6, 23173, 148346, 4113, 16932, 5, 7369, 119055, 29060, 1470, 29259, 4667, 1751, 75230, 1211, 6428, 33809, 2442, 4944, 36909, 98071, 61621, 5, 220224, 6, 238144, 46053, 1285, 49597, 6, 159696, 15388, 27, 37271, 80453, 64260, 37016, 10918, 49597, 4113, 20971, 2451, 506, 64260, 18133, 66168, 64659, 1211, 30109, 33809, 2050, 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 ]
[ 3523, 2865, 54260, 10813, 6235, 97634, 1211, 2451, 80453, 174121, 4484, 10918, 49597, 4113, 32, 1470, 98071, 1211, 4838, 42572, 29259, 59461, 6, 71804, 8903, 42542, 7369, 9934, 98071, 4667, 81444, 6, 148346, 21106, 2648, 4838, 159696, 4484, 128540, 3069, 31467, 76961, 2808, 98071, 148346, 6093, 98071, 39340, 27702, 238144, 2442, 98071, 2050, 6, 23173, 148346, 29060, 212484, 4113, 27, 2451, 95455, 9424, 29060, 109316, 119055, 13845, 1470, 98071, 4667, 1470, 29259, 4667, 6, 57277, 39340, 163139, 1211, 132025, 25391, 29259, 148346, 1211, 5, 2205, 874, 29259, 1211, 2808, 54260, 26394, 1470, 98071, 4852, 4, 1470, 98071, 2442, 170479, 2882, 4151, 2865, 98071, 2882, 3523, 98071, 2882, 18583, 10918, 49597, 12483, 27, 4151, 113889, 4667, 42542, 153585, 145813, 29060, 5, 37271, 26612, 6, 71804, 8903, 3523, 33809, 3111, 31467, 2004, 2451, 506, 64260, 4838, 6, 236376, 6235, 97634, 1211, 1285, 49597, 66168, 64659, 2451, 2808, 33809, 1211, 2181, 37826, 2808, 98071, 2050, 1751, 75230, 1211, 18583, 13982, 120467, 1211, 4, 199145, 7369, 37826, 1470, 98071, 2050, 220273, 6, 148346, 93704, 23173, 159212, 4151, 8300, 54260, 67873, 22444, 21106, 4113, 67882, 16011, 13159, 12, 564, 54260, 28726, 4, 170479, 7369, 22518, 29259, 148346, 1211, 27, 6, 238144, 7511, 49597, 152194, 16667, 4, 170479, 7508, 40096, 59461, 1470, 98071, 8300, 16932, 6, 148346, 26612, 1470, 98071, 2050, 6319, 54260, 1211, 6, 170355, 4667, 3523, 98071, 2882, 4151, 119718, 98071, 46053, 9934, 98071, 4667, 27, 2451, 1470, 98071, 4852, 3523, 40096, 1470, 29259, 4667, 95455, 9424, 29060, 109316, 27, 235466, 4, 235466, 27, 1470, 98071, 4667, 18583, 33104, 104238, 2808, 29259, 4667, 4, 36324, 4151, 36909, 33809, 1211, 42542, 5332, 22426, 13159, 6, 23173, 75230, 2050, 104378, 27, 5666, 4, 6, 12130, 5, 10676, 6, 26394, 21338, 119055, 29060, 7369, 6, 101470, 5, 123736, 148346, 6093, 199145, 1470, 98071, 4852, 1285, 49597, 41764, 710, 28726, 4, 1470, 75230, 148346, 2648, 98071, 6, 71804, 8903, 1470, 98071, 4852, 215031, 4, 36324, 9934, 29771, 119718, 98071, 4852, 29771, 42542, 7369, 1470, 98071, 2050, 3523, 98071, 2882, 6, 146598, 7511, 49597, 64213, 4, 1470, 33809, 1211, 34076, 40096, 36324, 75230, 506, 64260, 7369, 1470, 98071, 2050, 6, 23173, 29259, 23405, 13845, 176727, 1470, 98071, 1211, 6319, 65482, 23269, 32, 2451, 36324, 75230, 4, 36324, 75230, 4, 3496, 26612, 159696, 2442, 18133, 66168, 64659, 2451, 506, 64260, 9934, 98071, 4667, 16175, 75230, 1211, 7508, 40096, 59461, 874, 98071, 2882, 1470, 98071, 2050, 8903, 7916, 49597, 21295, 364, 54260, 1982, 98071, 5666, 220273, 163139, 49597, 6, 75322, 39083, 2451, 148346, 90848, 68959, 49008, 564, 98071, 2442, 4, 364, 54260, 16803, 8947, 4, 3069, 31467, 2050, 3373, 29771, 10918, 49597, 21106, 98071, 4852, 2050, 5, 4838, 4231, 75230, 25207, 6, 148346, 90848, 2648, 4852, 23269, 7511, 64659, 4, 6, 94741, 63020, 1470, 98071, 4667, 1470, 29259, 4667, 6, 225975, 1211, 4, 123736, 148346, 6093, 1470, 33809, 50856, 905, 6093, 37016, 98071, 83182, 119055, 46598, 4838, 119718, 23173, 4113, 6, 49209, 6, 148346, 13159, 6093, 5, 1470, 98071, 4852, 163139, 9934, 29259, 13497, 1470, 98071, 2442, 207748, 2882, 6235, 159696, 1211, 7508, 5, 2932, 48904, 26394, 9424, 29259, 2882, 2205, 199145, 37826 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1470, 98071, 2442, 6235, 97634, 1211, 32, 2451, 163139, 49597, 170479, 1470, 98071, 4667, 1470, 29259, 4667, 6, 225975, 1211, 2451, 506, 64260, 1285, 49597, 2050, 7511, 64659, 1211, 6319, 75230, 2050, 221387, 199145, 2442, 40096, 59461, 21776, 2050, 4, 1470, 33809, 1211, 41764, 710, 185226, 1470, 98071, 56169, 37826, 7369, 9934, 98071, 4667, 3523, 98071, 2882, 6235, 119718, 39083, 2882, 6, 23173, 29259, 5666, 212484, 1211, 1470, 98071, 1211, 1644, 48904, 8903, 93943, 25207, 46053, 4, 2200, 1470, 98071, 1211, 4838, 122868, 63593, 54260, 1211, 37826, 7369, 6235, 35596, 36909, 77188, 12, 2451, 18583, 5666, 54260, 2442, 65482, 9424, 29259, 28320, 6235, 159696, 1211, 5, 119055, 6093, 42542, 6, 21106, 7611, 6235, 20315, 20260, 12483, 32, 2451, 7508, 40096, 59461, 37826, 6235, 104149, 4, 36324, 1285, 49597, 66168, 64659, 1211, 1470, 98071, 4852, 125523, 4838, 79981, 3523, 98071, 2882, 1470, 98071, 1211, 4151, 67826, 49597, 2865, 33809, 23405, 9424, 12, 7508, 54260, 35465, 4, 37826, 7369, 1470, 98071, 2050, 28415, 3523, 98071, 2882, 6235, 2882, 23269, 109636, 2050, 5, 1285, 49597, 14857, 98071, 8580, 1470, 98071, 4852, 125523, 8903, 39293, 46053, 4838, 148346, 98071, 35044, 4, 7369, 37826, 6, 148346, 93704, 48904, 20911, 18583, 1211, 874, 98071, 2882, 98071, 4484, 1470, 33809, 1211, 1470, 98071, 4852, 4838, 159696, 4484, 5, 2442, 12, 18583, 28726, 8903, 5927, 29259, 28320, 7508, 98071, 68867, 49597, 26394, 2050, 194885, 1211, 1285, 49597, 141879, 9424, 29259, 2882, 6235, 159696, 1211, 3523, 98071, 2882, 6319, 29259, 1211, 21733, 54260, 23269, 4, 2205, 1470, 98071, 148346, 150839, 75230, 22426, 2882, 1470, 98071, 4852, 1470, 98071, 2050, 1470, 75230, 2702, 23269, 240863, 12483, 95455, 6, 148346, 98071, 35044, 6, 2050, 98071, 69106, 4, 119055, 29771, 2050, 6093, 37826, 874, 98071, 2882, 8903, 148346, 48775, 40920, 42572, 33809, 1211, 6, 148346, 2442, 9416, 49597, 1211, 5, 4838, 119718, 23173, 4113, 37826, 7369, 8947, 241997, 151614, 148346, 1211, 26612, 6293, 657, 141847, 6093, 5, 123736, 148346, 6093, 7369, 37826, 54745, 1211, 241997, 6, 21106, 54260, 1211, 8947, 1211, 1470, 33809, 1211, 3523, 98071, 2882, 16175, 54260, 67873, 9934, 98071, 4667, 2865, 98071, 2882, 1285, 49597, 27702, 238144, 2442, 98071, 2050, 4, 874, 98071, 2882, 119055, 13845, 107581, 7369, 37826, 35830, 4151, 6, 148346, 98071, 68959, 36326, 1470, 98071, 5666, 54260, 119132, 36909, 23173, 148346, 48775, 40920, 364, 21106, 148346, 4113, 193012, 4, 1470, 98071, 148346, 150839, 75230, 22426, 2882, 4, 119055, 12483, 7369, 1470, 98071, 1211, 125523, 6235, 159696, 1211, 6, 148346, 26612, 1470, 54260, 7511, 5, 39340, 1470, 98071, 1211, 1285, 49597, 364, 29259, 168155, 1470, 33809, 1211, 7369, 37826, 6235, 104149, 220224, 6093, 1751, 159696, 2442, 17190, 148346, 1211, 874, 98071, 2882, 119055, 29259, 148346, 1470, 33809, 1211, 4484, 98071, 16747, 32, 6, 75322, 39083, 37826, 7369, 9934, 98071, 4667, 4269, 48904, 26394, 3496, 23173, 29771, 3131, 98071, 2050, 241997, 6, 148346, 26612, 2932, 54260, 1211, 874, 98071, 2882, 46711, 33809, 39340, 5, 119132, 9721, 75230, 2882, 874, 98071, 2882, 16175, 54260, 4, 6, 94741, 17017, 16803, 1470, 98071, 4852, 95455, 1470, 75230, 4667, 6235, 159696, 1211, 3523, 98071, 2882, 17824, 98071, 23405, 4, 1470, 98071, 56169, 2808, 98071 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4852, 95455, 1470, 98071, 2050, 125523, 1751, 159696, 2442, 6093, 5, 1470, 75230, 101608, 10676, 2451, 2808, 3069, 31467, 8903, 4484, 33809, 2865, 65482, 9424, 29766, 4113, 12, 6, 150839, 64260, 3523, 98071, 2882, 6319, 29259, 1211, 1285, 49597, 25207, 163139, 49597, 6235, 506, 6093, 98071, 4484, 1470, 33809, 1211, 42572, 20961, 148346, 25207, 105405, 6, 59929, 26612, 4667, 9424, 29259, 2882, 4838, 6293, 4151, 2932, 59929, 5, 1470, 98071, 4852, 6319, 39083, 4852, 212915, 4151, 8248, 31467, 46685, 37826, 9934, 98071, 4667, 3523, 98071, 2882, 1470, 29259, 5666, 190135, 1470, 33809, 1211, 1285, 49597, 159696, 16932, 1211, 194885, 1211, 123736, 159212, 6, 76776, 36419, 4, 16175, 33809, 12483, 1470, 98071, 2050, 6, 238144, 1285, 49597, 119055, 33809, 16747, 12483, 5, 7369, 37826, 1751, 75230, 1211, 23050, 5, 80453, 33809, 119718, 2882, 4269, 54260, 1211, 4838, 6293, 6235, 39293, 1644, 95494, 159212, 192956, 2442, 6, 23173, 148346, 46598, 2451, 148346, 26612, 1470, 6235, 148346, 29259, 20315, 4, 1470, 98071, 4852, 6428, 99766, 36909, 23173, 17537, 1751, 159696, 2442, 123073, 6, 23173, 148346, 29060, 874, 98071, 2882, 17824, 98071, 23405, 123073, 5, 119055, 6093, 6, 101328, 98833, 9934, 98071, 4667, 125523, 1285, 49597, 1751, 159696, 2442, 123073, 32, 123736, 148346, 6093, 1285, 49597, 14857, 98071, 7611, 37826, 4838, 3523, 40096, 33809, 2442, 4, 199145, 7369, 42542, 9934, 98071, 4667, 3523, 98071, 2882, 3496, 71577, 1211, 4, 1470, 98071, 69855, 98071, 6, 23173, 148346, 29060, 220273, 7511, 49597, 2882, 18583, 194885, 6319, 75230, 1982, 13159, 12, 199145, 42542, 7369, 193178, 32, 1470, 33809, 1211, 7369, 31249, 29771, 159212, 1751, 75230, 1211, 206105, 193012, 1470, 98071, 1211, 4838, 6, 76776, 40920, 1644, 114436, 506, 75230, 4852, 5, 119718, 33809, 506, 98071, 1211, 37826, 1285, 49597, 14857, 98071, 8580, 1470, 98071, 8300, 16932, 241997, 4269, 54260, 1211, 32, 18583, 29659, 54260, 2882, 9934, 98071, 4667, 4, 36324, 1470, 98071, 1211, 21733, 33809, 148346, 42572, 33809, 1211, 1285, 49597, 6, 23173, 148346, 29060, 212484, 4113, 5, 70845, 1470, 98071, 4852, 123736, 148346, 6093, 4838, 79981, 42572, 33809, 1211, 6319, 137377, 3523, 98071, 2882, 6, 23173, 75230, 2702, 1285, 49597, 101296, 710, 36419, 874, 98071, 28320, 9424, 29060, 109316, 12, 163139, 49597, 36324, 75230, 95455, 37826, 9934, 98071, 4667, 1470, 75230, 2702, 8903, 13982, 54260, 2882, 874, 98071, 57277, 2865, 39083, 38, 2808, 33809, 1211, 4151, 98071, 75290, 4, 7508, 40096, 59461, 37826, 2181, 6235, 36909, 33809, 49008, 18583, 220273, 3523, 40096, 98071, 2442, 44779, 1470, 98071, 1211, 153585, 71804, 8903, 3069, 31467, 45223, 152656, 1470, 98071, 2050, 874, 98071, 2882, 4838, 9424, 29060, 109316, 27, 36324, 13845, 107581, 6, 148346, 26612, 23847, 98071, 152656, 27, 42572, 25207, 2932, 4, 119055, 29771, 25559, 64260, 7369, 8947, 220273, 6235, 3111, 31467, 1982, 12483, 2451, 100863, 29259, 4667, 6, 148346, 93704, 23173, 159212, 6, 225975, 1211, 7508, 40096, 59461, 1211, 4, 36324, 7369, 7508, 23173, 68959, 98071, 4667, 3523, 98071, 2882, 67882, 23822, 98071, 4113, 4667, 153585, 1470, 33809, 1211, 4838, 3373, 29771, 6293, 4, 6, 47351, 6, 37016, 5, 7369, 37826, 3523, 98071, 2882, 6235, 225975, 2882, 5, 874, 54260, 28726, 4, 119718, 120467, 42542, 7369, 1470, 98071, 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 ]
[ 3523, 98071, 2882, 6, 101470, 1470, 98071, 8300, 16932, 1470, 33809, 1211, 3069, 31467, 2442, 29259, 46053, 32, 6, 95494, 4, 119055, 33809, 1470, 98071, 4852, 2181, 26612, 506, 98071, 23405, 37016, 33809, 51723, 32, 1285, 49597, 14857, 98071, 8580, 37826, 1470, 98071, 1211, 115222, 3131, 65482, 132025, 8903, 2882, 71577, 2882, 95455, 9424, 29060, 109316, 874, 98071, 2882, 35189, 364, 84577, 12, 8947, 657, 98071, 98833, 5, 3523, 33809, 4269, 33809, 2882, 4, 4838, 6, 76776, 36909, 39340, 2865, 98071, 23269, 95455, 1470, 98071, 4852, 4, 170479, 95455, 657, 98071, 15388, 5, 7369, 119718, 39083, 2882, 133190, 153585, 4838, 6, 148346, 21106, 1211, 3069, 31467, 163139, 49597, 46053, 4, 199145, 119055, 39083, 2882, 1470, 98071, 8300, 16932, 6235, 97634, 1211, 6, 47351, 4838, 152848, 5, 2442, 6093, 6, 23173, 153585, 6, 99766, 5, 119055, 6093, 6, 238144, 2702, 199145, 6, 148346, 13159, 6093, 1470, 98071, 4852, 12, 9424, 98071, 153585, 1470, 98071, 23405, 48904, 64213, 171433, 2865, 91595, 98071, 4484, 1470, 33809, 1211, 6319, 29259, 1211, 6, 170355, 4667, 3523, 98071, 2882, 51678, 160204, 4, 4838, 148346, 98071, 3069, 31467, 153585, 1470, 98071, 5666, 54260, 119132, 874, 98071, 2882, 6428, 12, 137377, 61397, 98071, 2702, 65482, 42572, 33809, 1211, 17190, 148346, 1211, 4, 84475, 3069, 31467, 2442, 98071, 4484, 6, 23173, 29259, 50856, 29259, 46053, 9934, 98071, 4667, 1470, 98071, 1211, 17190, 148346, 1211, 6, 23173, 29259, 1211, 18583, 17645, 35465, 6, 80453, 29259, 4852, 4, 1470, 33809, 1211, 163139, 35189, 6, 148346, 26612, 159696, 15388, 7746, 4, 6, 23173, 148346, 213783, 1470, 33809, 1211, 45223, 152656, 43649, 33809, 22426, 1211, 21776, 56703, 119718, 53414, 119055, 29771, 15388, 27, 3056, 70845, 6, 238144, 29171, 6235, 159696, 1211, 1285, 6235, 94741, 20260, 12483, 1285, 49597, 14856, 3131, 33809, 2932, 65482, 4, 37826, 2808, 98071, 2050, 125523, 6, 23173, 4838, 3069, 31467, 113889, 148346, 10676, 6319, 137377, 7746, 3069, 31467, 238144, 2882, 98071, 20911, 292, 7369, 4151, 4484, 35596, 1470, 98071, 56703, 75230, 1211, 34076, 29259, 4667, 4, 10676, 6, 238144, 46545, 4, 95455, 16175, 39083, 3056, 95455, 3523, 98071, 2882, 42572, 33809, 1211, 1285, 6235, 238144, 13497, 192956, 4484, 137377, 238144, 2882, 98071, 38249, 6, 148346, 26612, 1470, 98071, 2050, 4, 199145, 1285, 49597, 48253, 98071, 7611, 21776, 4944, 13497, 9934, 98071, 4667, 874, 98071, 2882, 220224, 6319, 54260, 5666, 2865, 39083, 3523, 98071, 2882, 5, 5666, 29766, 657, 75230, 2882, 10676, 4, 163139, 49597, 7369, 145813, 98071, 33716, 9934, 98071, 4667, 4, 6, 238144, 16803, 7369, 1751, 75230, 1211, 4, 36324, 95455, 1470, 98071, 4852, 42572, 33809, 1211, 6428, 5, 63593, 13159, 4113, 6319, 137377, 238144, 2882, 98071, 38249, 4, 199145, 6, 186145, 152656, 9934, 98071, 4667, 6, 148346, 26612, 1470, 98071, 2050, 55242, 21295, 1211, 4, 123736, 148346, 6093, 36324, 220224, 186145, 152656, 9934, 98071, 4667, 4, 37826, 7369, 1751, 75230, 1211, 6, 113889, 133324, 46598, 4838, 42572, 24295, 56169, 123073, 6, 76776, 40920, 5, 6, 64260, 1470, 98071, 148346, 21295, 1470, 98071, 56703, 75230, 1211, 4838, 36909, 98071, 28726, 5, 6, 21106, 5666, 36909, 21106, 2050, 1470, 98071, 4852, 1470, 98071, 2050, 4151, 238144, 165607, 1470, 98071, 23405, 48904 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 64213, 6319, 21106, 17645, 6235, 119718, 29766, 1211, 1285, 49597, 29659, 98071, 2865, 33809, 23405, 5, 6, 159696, 15388, 4269, 54260, 1211, 1470, 98071, 1211, 30109, 33809, 148346, 42542, 1751, 75230, 1211, 364, 29259, 13497, 3523, 98071, 2882, 153585, 6319, 29259, 1211, 7508, 54260, 4667, 5, 874, 98071, 2050, 165592, 26612, 67826, 49597, 2865, 33809, 23405, 1470, 33809, 1211, 874, 98071, 2882, 215031, 6, 238144, 2882, 98071, 4484, 1470, 98071, 4852, 34076, 29259, 104238, 18583, 115374, 6, 12130, 21422, 148346, 26612, 119718, 29259, 56880, 9934, 98071, 4667, 5, 6428, 99766, 42572, 13845, 1211, 3523, 98071, 2882, 6319, 29259, 1211, 620, 91595, 4113, 67826, 49597, 2865, 33809, 183216, 6, 68558, 1470, 98071, 2050, 5, 1751, 75230, 1211, 29060, 192956, 193012, 4, 163139, 49597, 7369, 364, 186955, 1470, 98071, 1211, 1470, 54260, 1211, 120202, 76776, 61621, 21776, 2050, 6, 87311, 15388, 5, 2205, 364, 29259, 120580, 506, 26612, 2050, 1470, 98071, 2050, 137, 113889, 2882, 155, 3523, 23269, 7511, 49597, 142785, 4838, 874, 66293, 98071, 4484, 4838, 14856, 91275, 5666, 28726, 12984, 5, 95455, 37826, 1470, 98071, 2050, 4, 119718, 29259, 4852, 2882, 1470, 75230, 1982, 4, 1470, 75230, 4667, 18583, 95494, 67767, 5, 95455, 6, 148346, 13159, 18415, 119055, 39083, 2882, 18583, 1470, 98071, 2050, 1470, 98071, 56169, 6235, 159696, 1211, 2451, 2808, 29259, 5666, 31249, 29771, 152656, 5, 95455, 1470, 98071, 4852, 4, 4838, 23269, 119718, 4, 4151, 6, 148346, 13159, 16932, 874, 98071, 21338, 3069, 31467, 194885, 6319, 137377, 238144, 46545, 1211, 5, 6093, 37826, 9934, 98071, 4667, 1751, 75230, 1211, 4838, 36909, 98071, 28726, 6235, 506, 40096, 4838, 6, 212484, 6235, 97634, 1211, 159308, 6, 159696, 2932, 3069, 31467, 2050, 6, 76776, 40920, 147713, 150839, 75230, 4852, 5, 123736, 148346, 6093, 6, 148346, 21106, 2648, 37826, 7369, 9934, 98071, 4667, 4151, 87311, 13497, 12, 3069, 31467, 6, 128750, 98071, 4, 95455, 6, 76776, 40920, 1644, 114436, 506, 75230, 4852, 1470, 98071, 4852, 125523, 74806, 1644, 120467, 1211, 5, 42572, 25207, 2932, 4, 199145, 37826, 7369, 9934, 98071, 4667, 6235, 2808, 29259, 21295, 3069, 31467, 4838, 177282, 75230, 152656, 36909, 33809, 1211, 7508, 40096, 59461, 1211, 32, 6, 148346, 98071, 4852, 14856, 119055, 29060, 5332, 36909, 171428, 95455, 6, 76776, 40920, 147713, 150839, 75230, 4852, 1470, 98071, 4852, 3523, 98071, 2882, 6, 238144, 7511, 49597, 75290, 24464, 132025, 35189, 506, 21106, 148346, 1211, 6, 101328, 27, 1470, 98071, 23405, 48904, 64213, 1470, 98071, 148346, 6093, 98071, 39340, 9424, 29259, 2882, 6, 148346, 26612, 1470, 98071, 2050, 27, 163139, 49597, 48775, 23405, 1470, 98071, 4852, 125523, 18583, 1470, 98071, 2050, 1470, 98071, 1211, 6, 148346, 2442, 33809, 7511, 49597, 1211, 19302, 54260, 1211, 6235, 159696, 1211, 7508, 6093, 14856, 35044, 13159, 38, 1470, 98071, 1211, 13982, 75230, 46053, 1470, 98071, 4852, 6235, 159696, 1211, 3523, 59929, 4, 2181, 37826, 6235, 30473, 22426, 2882, 4838, 6, 189623, 109316, 4, 2205, 4151, 6319, 137377, 1470, 98071, 74004, 98071, 2050, 36324, 75230, 163139, 49597, 874, 98071, 2882, 6, 148346, 1644, 29259, 132025, 8903, 2932, 120467, 1211, 4, 2205, 1285, 49597, 6, 148346, 1644, 29259, 22753, 2648, 2882, 27, 119055, 33809, 506, 98071, 1211, 6319, 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 ]
[ 63532, 7369, 26612, 506, 98071, 1211, 32, 7508, 98071, 2050, 7511, 49597, 7611, 1470, 98071, 4852, 3523, 98071, 2882, 6235, 159696, 1211, 4151, 115556, 4, 7369, 170479, 9934, 98071, 4667, 18583, 1644, 98071, 61621, 5, 95455, 36909, 90848, 13497, 28726, 148346, 1211, 37826, 1470, 98071, 2050, 6235, 8903, 148346, 1211, 4838, 3373, 57277, 30473, 42572, 33809, 1211, 3069, 31467, 4852, 33809, 18406, 9934, 98071, 4667, 4838, 874, 98071, 21338, 1470, 98071, 1211, 17645, 35189, 6, 71804, 8903, 5, 7369, 3056, 6, 23173, 29259, 1211, 1470, 98071, 1211, 7369, 29659, 1211, 186046, 23173, 119132, 6, 23173, 29259, 5666, 240863, 4, 1470, 33809, 1211, 364, 98071, 13497, 6093, 4151, 16175, 9221, 37826, 7369, 9934, 98071, 4667, 6, 23173, 1285, 49597, 1470, 98071, 148346, 6093, 8903, 148346, 1644, 98071, 148346, 65482, 132025, 35189, 506, 21106, 148346, 1211, 1751, 29771, 8300, 33809, 23269, 3131, 22426, 23173, 2882, 4838, 6293, 1285, 49597, 6, 186145, 22426, 5, 36324, 75230, 20033, 163139, 49597, 7369, 37826, 9934, 98071, 4667, 6235, 36909, 98071, 21295, 4, 1470, 98071, 4852, 95455, 8903, 159696, 1211, 220273, 4838, 23050, 16932, 1470, 29259, 5666, 36909, 21106, 292, 7369, 1470, 98071, 1211, 34076, 29259, 4667, 1470, 29259, 23405, 29060, 1644, 29771, 152656, 5, 2865, 98071, 2882, 18583, 101296, 1982, 18415, 1470, 54260, 15388, 4, 123736, 148346, 6093, 1470, 98071, 23405, 48904, 64213, 6, 68558, 4231, 17160, 29766, 1470, 98071, 4852, 7508, 98071, 66168, 64659, 1211, 6235, 25207, 15388, 1470, 98071, 1211, 6, 76776, 40920, 147713, 150839, 75230, 4852, 4838, 6293, 7508, 6093, 364, 23173, 16932, 6, 76776, 25207, 4, 1470, 33809, 1211, 42572, 33809, 1211, 153585, 4269, 48904, 64213, 36909, 23173, 240863, 65482, 2050, 17190, 148346, 1211, 37826, 7369, 1470, 98071, 56169, 6235, 104149, 18583, 9934, 98071, 4667, 133190, 6, 148346, 2442, 33809, 7511, 49597, 1211, 5, 1285, 49597, 200795, 22426, 29766, 6, 101328, 1470, 98071, 4852, 7369, 120202, 8903, 31249, 29771, 152656, 4, 163139, 49597, 4838, 23050, 506, 23173, 23269, 16932, 5, 7369, 37826, 4838, 36909, 98071, 28726, 3523, 98071, 2882, 23269, 20315, 20260, 2050, 4, 163139, 49597, 36324, 75230, 4151, 6428, 119718, 29766, 29171, 37826, 1470, 98071, 2050, 874, 43178, 21106, 54260, 4113, 4667, 6235, 159696, 1211, 6, 152656, 1285, 49597, 186145, 22426, 2205, 163139, 49597, 36324, 75230, 7369, 1470, 98071, 1211, 21776, 164863, 48904, 49008, 6, 148346, 98071, 56880, 6, 76776, 40920, 1644, 114436, 506, 75230, 4852, 5, 123736, 148346, 6093, 6, 113889, 4944, 5, 25207, 2050, 4, 163139, 49597, 4151, 184639, 620, 29771, 6293, 1470, 98071, 4852, 6, 23173, 98071, 148346, 6093, 4, 163139, 49597, 36909, 1644, 7369, 37826, 9934, 98071, 4667, 3523, 98071, 2882, 23050, 47332, 23173, 29060, 3069, 31467, 2442, 98071, 4484, 1470, 29259, 57619, 33809, 31249, 29771, 152656, 4, 292, 7508, 6093, 6319, 137377, 37826, 1470, 98071, 2050, 6, 238144, 6235, 97634, 1211, 41764, 33809, 185226, 119718, 98071, 6, 128750, 98071, 6093, 4, 1470, 33809, 1211, 1470, 98071, 23405, 48904, 64213, 1470, 98071, 4852, 7369, 6235, 159696, 1211, 4838, 3069, 31467, 148346, 90848, 4944, 114436, 4, 292, 1470, 98071, 4852, 4151, 36909, 33809, 1211, 2932, 29766, 7511, 49597, 29659, 6, 23173, 75230, 2702, 23269, 4484, 33809, 51723, 5, 1470, 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 ]
[ 1211, 133190, 1285, 49597, 6235, 94741, 20260, 12483, 4, 3523, 98071, 2882, 6319, 29259, 1211, 23050, 148346, 29060, 65482, 1470, 33809, 1211, 159696, 2442, 6, 238144, 16803, 6428, 33809, 81455, 199145, 123073, 1470, 75230, 101608, 148346, 26612, 119718, 33809, 16803, 4852, 98071, 7511, 49597, 39340, 6, 59929, 29771, 10918, 49597, 26612, 10918, 49597, 13159, 6, 23173, 75230, 2702, 61397, 33809, 36909, 65482, 4, 151614, 148346, 1211, 9934, 98071, 4667, 6235, 22426, 1644, 171433, 16932, 2882, 1470, 33809, 1211, 23050, 22426, 1644, 171433, 16932, 2050, 5, 6, 64260, 119055, 12483, 119055, 29766, 232187, 119718, 39293, 2882, 1470, 98071, 2050, 81444, 1470, 98071, 8300, 16932, 4, 10676, 120202, 94741, 4944, 212484, 98071, 38249, 1470, 33809, 1211, 1470, 98071, 23405, 48904, 64213, 42572, 33809, 1211, 17190, 148346, 1211, 6, 47351, 23173, 75230, 2702, 23269, 31249, 29259, 35189, 28320, 4, 199145, 119055, 39083, 2882, 7369, 6235, 225975, 2882, 32, 874, 43178, 44779, 4, 36324, 7369, 119055, 39083, 2882, 125523, 8903, 71804, 40920, 42572, 33809, 1211, 1470, 98071, 1982, 27, 123736, 148346, 6093, 1285, 49597, 66168, 49597, 64213, 364, 75230, 148346, 2882, 220273, 7511, 49597, 2882, 6, 68558, 3069, 31467, 4838, 61621, 4, 199145, 119055, 29766, 29771, 113889, 119718, 119055, 39083, 2882, 6235, 225975, 2882, 5, 6, 29259, 1211, 120202, 36909, 29766, 1211, 42572, 33809, 1211, 6, 148346, 2442, 33809, 7511, 49597, 1211, 1470, 33809, 1211, 153585, 6319, 33809, 51723, 4838, 506, 6093, 36909, 23173, 13982, 98071, 16803, 1470, 98071, 2050, 4838, 36909, 98071, 28726, 3523, 98071, 2882, 4838, 506, 29766, 4, 292, 18583, 75290, 2882, 4, 41764, 33809, 185226, 163139, 49597, 37922, 98071, 64213, 4838, 6293, 28726, 506, 26612, 4944, 13159, 4, 16175, 33809, 2050, 8947, 1470, 98071, 2050, 364, 48904, 29771, 4113, 4, 3523, 98071, 2882, 6235, 4484, 33809, 20911, 6, 23173, 6, 21106, 7611, 4, 119055, 29766, 46598, 1470, 75230, 148346, 8947, 2808, 98071, 4852, 6, 76776, 4667, 18583, 47351, 36324, 75230, 42572, 98071, 1644, 1751, 159696, 2442, 98071, 4484, 29259, 28320, 874, 98071, 2882, 36324, 75230, 42572, 98071, 1644, 41764, 29259, 1211, 1470, 98071, 1211, 1470, 33809, 16747, 168155, 28726, 148346, 1211, 4, 1470, 98071, 1211, 3523, 98071, 2882, 6319, 29259, 1211, 6319, 33809, 69106, 3069, 31467, 4151, 119718, 29259, 16932, 1211, 9934, 98071, 4667, 4151, 36909, 33809, 1211, 4, 4151, 41764, 29259, 1211, 874, 98071, 2882, 7508, 98071, 2882, 159696, 2442, 98071, 4484, 29259, 28320, 119055, 53414, 4151, 36909, 33809, 1211, 3523, 98071, 2882, 17824, 98071, 23405, 6093, 5, 119055, 12483, 1470, 33809, 16747, 4852, 123073, 16175, 33809, 6093, 170479, 1211, 76961, 963, 4852, 39083, 151614, 148346, 1211, 18583, 1285, 49597, 1470, 75230, 15388, 1470, 75230, 4667, 95455, 4, 199145, 8947, 6319, 33809, 63532, 207748, 4838, 6293, 4151, 657, 98071, 20260, 6093, 4852, 29259, 2882, 42572, 33809, 66293, 17190, 148346, 1211, 4, 119055, 39083, 28320, 220224, 9934, 98071, 4667, 5332, 36909, 86733, 132025, 2932, 21660, 33809, 16747, 1211, 874, 98071, 2882, 125523, 6, 59929, 26612, 4667, 4838, 6, 148346, 25207, 5, 23269, 16747, 98071, 75290, 1211, 42572, 29259, 6093, 4, 1470, 33809, 1211, 5332, 36909, 59461, 119055, 39083, 2882, 95455, 6, 21106, 7611, 6, 59929, 26612, 4667, 4269, 98071, 104238, 3069, 31467 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 76776, 183216, 4, 2808, 54260, 35189, 95455, 6319, 33809, 63532, 207748, 6, 148346, 26612, 1470, 33809, 16747, 4852, 27, 1470, 33809, 1211, 125523, 10676, 4, 163139, 49597, 220224, 119055, 39083, 28320, 95455, 21106, 8580, 6235, 104149, 1470, 33809, 1211, 4838, 4667, 1285, 49597, 1470, 54260, 2932, 65482, 162726, 54260, 26394, 2702, 1470, 98071, 148346, 6093, 23269, 28726, 148346, 2882, 4, 119055, 12483, 14856, 170479, 4151, 71804, 183216, 215031, 1470, 54260, 119132, 4838, 9424, 29060, 109316, 4, 215031, 27, 199145, 119055, 39083, 2882, 7369, 6235, 97634, 1211, 32, 2648, 98071, 14857, 98071, 7611, 37826, 6235, 101296, 40920, 1470, 98071, 148346, 6093, 9934, 98071, 4667, 6, 47351, 132025, 13497, 189623, 3111, 31467, 5666, 5666, 4, 163139, 49597, 5332, 22426, 13159, 42572, 33809, 1211, 4852, 98071, 4667, 6, 23173, 137377, 23822, 54260, 35044, 141943, 98071, 4484, 4, 1470, 33809, 1211, 874, 98071, 2882, 364, 59929, 2882, 98071, 75290, 6, 84577, 31249, 120467, 20260, 29259, 2882, 37826, 7369, 47351, 5332, 152656, 6235, 97634, 1211, 1285, 49597, 1470, 75230, 15388, 12, 4838, 3373, 29771, 6293, 170479, 95455, 6, 101470, 38, 1285, 49597, 66168, 49597, 64213, 4, 10676, 1470, 54260, 148346, 98071, 4484, 129071, 98071, 119718, 1211, 1285, 49597, 66168, 49597, 64213, 4, 1470, 98071, 4852, 3523, 98071, 24621, 2050, 6235, 119718, 29766, 1211, 3069, 31467, 6, 212484, 1211, 9934, 98071, 4667, 42572, 98071, 61621, 42572, 33809, 1211, 34076, 40096, 36324, 75230, 8903, 94741, 20260, 12483, 4, 6, 68558, 4838, 6, 76776, 710, 4944, 46598, 3069, 31467, 2050, 192183, 25616, 213783, 17190, 148346, 1211, 27, 199145, 9934, 36326, 1470, 98071, 4852, 95455, 32, 36909, 33809, 1211, 6, 66293, 98071, 2050, 33809, 183216, 4838, 21776, 10918, 49597, 2648, 98071, 119718, 32, 1285, 49597, 141879, 6, 101328, 61621, 37826, 7369, 6235, 2865, 54260, 13497, 4, 36324, 874, 98071, 2882, 2648, 12, 67826, 49597, 2865, 33809, 183216, 37826, 7369, 9934, 98071, 4667, 1751, 75230, 1211, 6, 71804, 23405, 3069, 31467, 25207, 4944, 13497, 5, 123736, 148346, 6093, 6, 64260, 6319, 33809, 51723, 220224, 119718, 98071, 35189, 4, 163139, 49597, 3523, 98071, 24621, 36419, 6, 148346, 21106, 4113, 4944, 75230, 159696, 2050, 4, 1470, 33809, 1211, 199145, 6, 87311, 49008, 220224, 32, 84475, 220224, 6, 238144, 46053, 7511, 49597, 2882, 4, 36324, 41764, 33809, 185226, 163139, 49597, 1285, 4269, 48904, 26394, 21776, 119718, 39083, 33809, 42180, 4, 37826, 1470, 75230, 4667, 1285, 49597, 14857, 98071, 8580, 6, 71804, 23405, 48904, 33809, 1644, 98071, 33716, 76961, 194885, 564, 75230, 159696, 2702, 4, 1470, 33809, 1211, 6319, 75230, 2648, 141564, 39083, 292, 194885, 3523, 98071, 2882, 1470, 75230, 2702, 5666, 21660, 39083, 18415, 91275, 98071, 2865, 33809, 5666, 49008, 27, 1470, 98071, 4852, 2181, 1285, 49597, 21776, 92605, 10918, 49597, 4113, 42572, 33809, 1211, 17190, 148346, 1211, 4, 199145, 6, 80453, 33809, 119718, 2882, 6, 113889, 4944, 75322, 39083, 2808, 33809, 36909, 8300, 33809, 506, 75230, 148346, 1211, 10676, 6319, 137377, 4, 6319, 16870, 54260, 4838, 6, 75290, 3069, 31467, 160204, 1285, 49597, 7508, 142429, 4838, 6293, 9721, 98071, 4484, 32, 3523, 54260, 1211, 4, 8300, 33809, 2442, 98071, 4484, 1470, 98071, 1211, 1470, 29259, 6093, 7508, 33809, 6, 23173, 29259, 1211, 4 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 148346, 21106, 4113, 4944, 75230, 159696, 2702, 3523, 98071, 24621, 36419, 4, 4151, 3523, 33809, 46685, 119055, 29060, 3523, 98071, 2050, 33809, 2442, 30741, 54260, 1211, 38, 1470, 33809, 1211, 1285, 49597, 14857, 98071, 8580, 37826, 9934, 98071, 4667, 6, 114436, 2932, 98071, 3131, 4838, 364, 75230, 148346, 6235, 97634, 1211, 42572, 33809, 1211, 6235, 147713, 6093, 2808, 33809, 1211, 36324, 3131, 4838, 152656, 6319, 39083, 37826, 7369, 17288, 159212, 98071, 4484, 4838, 9934, 171433, 6235, 97634, 1211, 12, 199145, 18583, 6, 47351, 132025, 3131, 98071, 39340, 7511, 49597, 3131, 38, 1470, 33809, 1211, 6, 23173, 9934, 98071, 4667, 6, 21106, 54260, 1211, 37826, 7369, 9934, 98071, 4667, 3069, 31467, 148346, 54260, 4852, 77188, 12, 84475, 7369, 620, 29771, 159212, 4, 29771, 35189, 7369, 620, 29771, 159212, 3523, 98071, 2882, 4, 199145, 1470, 98071, 83182, 4113, 24621, 18406, 6319, 33809, 63532, 81444, 874, 98071, 2882, 1470, 98071, 2050, 207748, 32, 2808, 33809, 1211, 6319, 75230, 2050, 37826, 7369, 9934, 98071, 4667, 4, 163139, 49597, 1470, 98071, 2050, 37826, 9934, 98071, 4667, 6235, 94741, 40920, 4, 6, 148346, 26612, 506, 6093, 29659, 4, 37826, 6093, 1751, 75230, 1211, 6, 148346, 13159, 6093, 6, 148346, 26612, 31249, 120467, 1211, 6, 148346, 26612, 119718, 33809, 16803, 4852, 98071, 7511, 49597, 4484, 3069, 31467, 6, 88660, 26394, 120580, 98071, 61621, 153585, 6235, 2648, 48904, 78683, 6293, 10676, 192183, 25616, 213783, 4, 199145, 81444, 16175, 33809, 2882, 9934, 98071, 4667, 6, 23173, 33809, 2050, 1470, 98071, 2050, 1470, 98071, 1211, 6, 76776, 40920, 147713, 150839, 75230, 4852, 4, 292, 2808, 98071, 148346, 150839, 75230, 22426, 2882, 4, 119055, 12483, 6, 64260, 95455, 17190, 148346, 1211, 1470, 98071, 4852, 1470, 98071, 2050, 1470, 98071, 1211, 4269, 48904, 64213, 42572, 25207, 27105, 4, 1470, 33809, 1211, 7369, 148346, 48904, 43178, 13497, 9934, 98071, 4667, 874, 98071, 2882, 1470, 98071, 2050, 3373, 26, 6093, 105235, 874, 39083, 4, 36324, 75230, 119055, 29060, 153585, 9424, 159696, 4484, 195164, 98071, 75290, 5, 101328, 4, 4151, 17824, 75230, 101608, 9934, 21106, 4, 199145, 14856, 37826, 241997, 3069, 31467, 100863, 29259, 12984, 3373, 29259, 35465, 3069, 31467, 6, 47351, 75322, 39083, 98071, 75290, 6319, 165592, 23173, 24621, 4, 1470, 98071, 4852, 42572, 33809, 1644, 6235, 159696, 1211, 874, 98071, 2882, 1285, 49597, 18583, 3131, 54260, 2648, 16667, 18415, 6319, 71804, 183216, 36909, 33809, 1211, 42572, 98071, 4852, 113889, 203749, 98071, 86733, 115374, 37016, 4852, 98071, 80885, 69106, 5, 9934, 98071, 1470, 98071, 4852, 3523, 98071, 2882, 6, 119273, 29060, 98071, 3131, 4, 1285, 49597, 42572, 98071, 4852, 98071, 39083, 171433, 98071, 36326, 115374, 37016, 4852, 98071, 80885, 69106, 4, 95455, 1470, 98071, 4852, 37922, 46598, 4, 123736, 148346, 6093, 1470, 54260, 16667, 1470, 98071, 4852, 19302, 29766, 12, 21106, 4113, 163139, 49597, 67873, 17190, 148346, 1211, 5, 1285, 49597, 66168, 64659, 1211, 37826, 9934, 98071, 4667, 220273, 6319, 54260, 5666, 2865, 39083, 3523, 98071, 2882, 207748, 190135, 4, 119718, 98071, 22518, 37016, 44779, 119055, 29259, 2882, 4151, 2648, 29771, 4852, 98071, 75290, 163139, 49597, 67873, 3069, 31467, 2050, 17190, 148346, 1211, 4151, 2932, 54260, 2882, 4, 292, 6, 64260, 55242, 16932, 81444, 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 ]
[ 12, 119055, 6093, 194885, 1211, 220224, 1285, 49597, 76961, 42572, 33809, 1211, 17190, 148346, 1211, 6, 23173, 75230, 2702, 8903, 3131, 22426, 29259, 18415, 4, 199145, 1285, 49597, 13497, 64260, 37826, 220224, 4838, 4667, 6, 148346, 208048, 40920, 81444, 76961, 3069, 31467, 5666, 75230, 36909, 8903, 76776, 33716, 874, 98071, 2882, 1470, 98071, 2442, 17824, 75230, 235210, 12483, 6, 148346, 48350, 46598, 4, 36324, 75230, 163139, 49597, 4838, 148346, 98071, 35044, 1470, 98071, 148346, 6093, 98071, 39340, 874, 98071, 16803, 32, 4838, 79981, 6235, 159696, 4852, 65482, 4, 6235, 159696, 4852, 65482, 4, 1470, 33809, 1211, 76961, 6319, 98071, 2865, 40096, 151614, 148346, 1211, 220224, 9934, 98071, 4667, 1751, 75230, 1211, 6, 71804, 23405, 6, 23173, 33809, 194734, 95064, 212484, 2882, 1470, 33809, 194734, 136108, 6093, 657, 98071, 7511, 49597, 4113, 42572, 33809, 1211, 17190, 148346, 1211, 27, 76961, 6319, 98071, 2865, 40096, 194885, 1211, 1751, 75230, 1211, 81444, 4151, 23822, 33809, 20260, 65482, 27, 1470, 33809, 1211, 2884, 2648, 98071, 3523, 29259, 4113, 6, 29766, 20315, 3111, 31467, 23405, 874, 98071, 2882, 1285, 49597, 76961, 874, 120467, 2050, 98071, 2050, 1644, 12483, 42572, 33809, 1211, 4151, 7508, 40096, 5666, 101296, 47332, 119055, 13845, 88945, 1211, 1470, 98071, 14857, 2882, 183512, 220224, 1211, 220224, 5332, 109636, 2050, 3069, 31467, 45223, 152656, 32, 3069, 31467, 2050, 6, 148346, 93704, 75230, 53414, 4, 37826, 1285, 49597, 74806, 98071, 40920, 76632, 49597, 2882, 6319, 29259, 1211, 6319, 48775, 159212, 4838, 6293, 3069, 31467, 2442, 98071, 4484, 5, 123736, 148346, 6093, 6319, 54260, 59461, 42572, 33809, 1211, 1285, 49597, 81444, 3069, 31467, 5666, 75230, 36909, 8903, 4484, 33809, 2865, 65482, 119718, 98071, 1644, 9934, 98071, 4667, 4151, 98071, 1211, 3523, 98071, 2882, 874, 75230, 20315, 153585, 4, 1470, 33809, 1211, 4838, 79981, 6, 153222, 109636, 2882, 9934, 98071, 4667, 125523, 177274, 9221, 6093, 6, 68558, 158628, 1211, 6, 148346, 98071, 35044, 657, 33809, 159212, 4, 6, 68558, 158628, 1211, 6, 71804, 23405, 18583, 240863, 65482, 2050, 8248, 31467, 49008, 29659, 2442, 21106, 27, 29771, 148346, 6093, 42572, 98071, 21295, 2181, 54745, 1211, 37922, 98071, 89930, 42572, 33809, 1211, 220224, 36324, 75230, 6235, 5666, 75230, 1285, 49597, 1470, 54260, 2932, 65482, 6, 71804, 23269, 32, 30109, 5, 59461, 3523, 98071, 2882, 38, 5, 5, 151614, 148346, 1211, 220224, 3496, 64260, 3131, 6235, 104149, 10676, 6, 87311, 96302, 4, 119055, 12483, 220224, 194885, 1211, 6, 23173, 98071, 148346, 6093, 8903, 226112, 28320, 1285, 49597, 17824, 65482, 8580, 9424, 119718, 98071, 81829, 153585, 1470, 33809, 1211, 6235, 159696, 1211, 32, 1470, 33809, 1211, 1285, 49597, 14857, 98071, 7611, 4, 1470, 75230, 148346, 6093, 163139, 49597, 1644, 4, 1470, 98071, 4852, 3069, 31467, 128750, 98071, 35465, 4838, 36909, 98071, 28726, 4, 199145, 7369, 37826, 6, 23173, 29259, 23405, 37016, 33809, 20911, 874, 98071, 2882, 1285, 49597, 1470, 54260, 2932, 65482, 2808, 75230, 15388, 1470, 98071, 1211, 54745, 27105, 29771, 4852, 98071, 38249, 120202, 23847, 33809, 13497, 5, 2181, 6, 148346, 75230, 2882, 9934, 98071, 4667, 6, 57277, 39340, 4838, 3523, 29259, 17190, 148346, 1211, 5, 8947, 2932, 54260, 2882, 4838, 6, 212394, 874, 98071, 2882, 364, 59929, 2882, 98071, 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 ]
[ 81414, 49597, 2882, 3069, 31467, 4151, 3069, 31467, 4484, 33809, 5666, 159212, 27, 123736, 148346, 6093, 42572, 33809, 1211, 22444, 159696, 2442, 119055, 29060, 6319, 33809, 51723, 32, 95455, 194885, 1211, 4838, 36909, 98071, 28726, 3523, 98071, 2882, 6319, 29259, 1211, 6319, 29766, 148346, 239162, 2050, 42572, 33809, 1211, 4151, 21776, 119718, 39083, 33809, 10918, 49597, 4113, 292, 1285, 49597, 21776, 119718, 39083, 33809, 10918, 49597, 4113, 37826, 221895, 6319, 29766, 148346, 239162, 2050, 6235, 148346, 48775, 40920, 12, 42572, 33809, 1644, 2865, 98071, 2882, 17190, 148346, 1211, 1470, 33809, 1211, 6, 170355, 159212, 194885, 1211, 6235, 159696, 1211, 1470, 98071, 25207, 6319, 29766, 148346, 239162, 2050, 4, 1470, 33809, 1211, 95455, 1470, 98071, 4852, 42572, 33809, 1211, 2865, 98071, 2648, 148346, 29766, 2865, 54260, 2702, 98071, 2050, 6, 47351, 120202, 36909, 21106, 4, 6428, 12, 874, 98071, 16803, 42572, 33809, 1211, 4151, 6, 21106, 16932, 6, 29766, 20315, 3111, 31467, 23405, 4, 292, 199145, 4852, 36326, 16175, 33809, 2882, 18225, 4151, 2865, 98071, 2882, 32, 165592, 75230, 1470, 98071, 4852, 6, 148346, 26612, 1285, 49597, 9719, 98071, 64213, 4151, 6319, 137377, 4, 6, 94741, 40920, 9934, 98071, 4667, 4, 1751, 75230, 1211, 1470, 23174, 48904, 64213, 6235, 159696, 2884, 21733, 29766, 5, 620, 29771, 152656, 37826, 7369, 28415, 6, 98071, 2882, 6235, 119718, 39083, 2882, 4, 1470, 33809, 1211, 95455, 1470, 54260, 112690, 39340, 4, 199145, 1470, 98071, 2050, 506, 64260, 9934, 98071, 4667, 1470, 98071, 8300, 16932, 1751, 57277, 24152, 23050, 100863, 33809, 16803, 4, 1470, 98071, 4852, 1470, 33809, 36909, 91275, 54260, 1211, 1470, 33809, 1211, 4838, 177282, 75230, 152656, 42572, 33809, 5666, 5, 94741, 49008, 292, 6319, 75230, 2648, 141564, 39083, 4838, 177282, 75230, 152656, 42572, 33809, 16747, 48904, 12483, 27, 123736, 148346, 6093, 2181, 1470, 98071, 1211, 125523, 6235, 159696, 1211, 36909, 710, 57619, 16932, 4, 6, 23173, 33809, 2050, 1470, 98071, 1211, 18225, 74806, 1644, 29771, 152656, 4, 1470, 33809, 1211, 1285, 49597, 19302, 29766, 4484, 29259, 2882, 42572, 33809, 1211, 6319, 137377, 1470, 98071, 4852, 1470, 75230, 4667, 8903, 159696, 1211, 4838, 6235, 5666, 23173, 6093, 98071, 36326, 5, 48494, 203232, 37826, 9934, 98071, 4667, 1470, 98071, 2050, 133190, 36324, 75230, 1470, 75230, 2702, 8903, 119718, 98071, 56880, 6, 23173, 35189, 21776, 8903, 27, 6, 148346, 21106, 2648, 125523, 10676, 7508, 114436, 98071, 38249, 874, 33809, 2050, 2808, 33809, 36909, 3131, 119718, 33809, 23405, 37826, 7369, 9934, 98071, 4667, 3131, 75230, 1211, 163139, 49597, 35189, 4151, 36909, 98071, 21295, 132025, 2865, 91595, 98071, 4484, 4, 163139, 49597, 1644, 5666, 212484, 1470, 33809, 1211, 1751, 119718, 2808, 4667, 4, 125523, 132025, 2865, 91595, 98071, 75290, 163139, 49597, 6, 128750, 98071, 6093, 2451, 35189, 98071, 1211, 37826, 4838, 17824, 75230, 46053, 564, 54260, 105330, 6235, 506, 40096, 1470, 75230, 4667, 153585, 506, 23173, 7611, 4, 199145, 1470, 98071, 4852, 1751, 75230, 1211, 6, 71804, 23405, 6235, 119718, 29766, 1211, 6, 148346, 26612, 1470, 98071, 2050, 220273, 7511, 49597, 2882, 6319, 29259, 1211, 9934, 98071, 104238, 37016, 54260, 28726, 292, 7369, 37826, 6, 21106, 54260, 1211, 3523, 98071, 2882, 6, 148346, 75322, 6093, 20911, 4, 163139, 49597, 7369 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1470, 98071, 4852, 6, 148346, 21106, 2648, 6235, 147713, 1211, 3069, 31467, 2442, 98071, 78683, 1211, 1470, 75230, 2702, 2932, 21660, 75230, 2932, 114436, 4838, 6293, 153585, 6235, 147713, 6093, 4, 1470, 33809, 1211, 42572, 33809, 1211, 9934, 98071, 4667, 6, 21106, 54260, 1211, 151614, 148346, 1211, 9934, 98071, 4667, 1470, 98071, 2050, 2648, 12, 1470, 75230, 15388, 18583, 101296, 40920, 5, 2205, 6428, 47351, 37826, 7369, 4151, 104149, 18583, 9934, 98071, 4667, 292, 6, 90848, 104149, 5, 22753, 23269, 63532, 1470, 98071, 2050, 6, 23173, 33809, 2050, 18583, 1211, 6319, 137377, 2205, 4, 6, 23173, 29259, 20260, 33809, 4484, 213952, 1470, 98071, 2050, 16175, 98071, 6293, 1470, 98071, 1211, 1285, 49597, 1470, 75230, 15388, 23173, 29259, 1211, 4, 6, 225975, 2882, 9934, 98071, 12, 137, 46598, 119055, 39083, 2882, 1751, 75230, 1211, 9424, 29259, 2882, 6235, 159696, 1211, 4838, 6, 236376, 160204, 6, 159696, 15388, 4852, 33809, 46685, 2909, 1285, 49597, 14857, 98071, 8580, 37826, 1470, 33809, 36909, 8903, 10918, 49597, 16932, 2882, 12, 199145, 1470, 98071, 4852, 95455, 4, 364, 21106, 33809, 10918, 49597, 76776, 10918, 49597, 46598, 165592, 13845, 107581, 32, 95455, 364, 23173, 8580, 37826, 1470, 98071, 2050, 1751, 57277, 24152, 132025, 8903, 506, 75230, 148346, 1211, 3069, 31467, 21733, 71577, 1211, 4, 4151, 620, 29771, 6293, 2865, 98071, 2882, 4151, 4269, 48904, 89930, 874, 98071, 79950, 29259, 2882, 4151, 6, 128750, 98071, 6093, 2648, 123329, 1470, 98071, 4852, 163139, 49597, 35189, 1470, 98071, 1211, 1470, 54260, 1211, 21776, 8903, 119718, 98071, 3523, 98071, 2882, 6235, 119718, 29766, 1211, 5, 1470, 33809, 1211, 3496, 64260, 3131, 4838, 3069, 31467, 148346, 90848, 4944, 114436, 4, 123736, 148346, 6093, 3069, 31467, 2442, 7682, 1470, 98071, 1211, 24012, 4944, 16932, 6093, 88660, 20260, 25207, 158652, 29259, 2882, 4, 37826, 9934, 98071, 4667, 1285, 49597, 14857, 98071, 7611, 4151, 87311, 13497, 1751, 75230, 1211, 220273, 3069, 31467, 4151, 6, 170355, 4667, 12, 6, 150839, 64260, 125523, 6, 90848, 104149, 6319, 29259, 1211, 6, 148346, 2442, 98071, 119718, 1644, 3523, 98071, 2882, 132025, 8903, 25391, 98071, 148346, 1211, 5, 95455, 1470, 98071, 4852, 3523, 98071, 2882, 4269, 33809, 2882, 4, 1470, 33809, 1211, 4838, 6293, 35189, 874, 98071, 3111, 31467, 2882, 37826, 7369, 120202, 8903, 119718, 29766, 152656, 76961, 3373, 36909, 54260, 39340, 2050, 12, 1470, 98071, 83182, 63593, 13159, 1211, 4, 199145, 506, 64260, 7369, 81444, 6, 71804, 23405, 9424, 6, 236376, 1211, 32, 7369, 119055, 29060, 132025, 25391, 29259, 148346, 1211, 6, 90848, 104149, 4, 36324, 7369, 1470, 98071, 1211, 1530, 7511, 2882, 28415, 6319, 29259, 1211, 18583, 84577, 119718, 99766, 192956, 2442, 16175, 33809, 6093, 4, 36324, 7369, 1470, 98071, 4852, 6235, 119718, 29766, 1211, 4838, 117902, 36326, 16932, 6, 23173, 148346, 4113, 16932, 4, 1470, 33809, 1211, 215031, 119055, 29060, 7369, 1751, 75230, 1211, 18583, 148346, 1644, 29259, 148346, 1211, 27, 3523, 98071, 97634, 6, 159696, 15388, 21776, 2050, 119718, 120467, 3069, 31467, 7508, 54260, 35465, 27, 1470, 33809, 1211, 6428, 47351, 119055, 29060, 7369, 4838, 6293, 6, 48253, 98071, 78683, 159696, 2702, 6, 104149, 4, 199145, 9934, 98071, 119055, 46598, 1470, 98071, 2050, 6093, 33809, 6293, 6, 35596 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 36909, 53414, 5, 95455, 119055, 29060, 153585, 4151, 37922, 13159, 6093, 6, 80453, 33809, 148346, 98071, 2442, 29659, 54260, 1211, 18583, 1470, 98071, 2442, 5, 2808, 54260, 1211, 6, 170355, 4667, 1470, 98071, 4852, 1470, 98071, 2050, 1751, 75230, 1211, 1470, 98071, 8300, 16932, 6235, 159696, 1211, 19302, 29766, 12, 18583, 1211, 620, 29771, 6293, 1470, 98071, 4852, 364, 29259, 13497, 98071, 39340, 6, 76776, 40920, 4838, 18583, 1644, 29766, 65482, 5, 123736, 148346, 6093, 6, 236376, 1211, 1470, 98071, 56169, 6, 159696, 15388, 6, 90848, 104149, 1470, 98071, 4852, 1470, 75230, 4667, 7511, 49597, 2882, 1285, 49597, 9424, 29259, 2882, 5, 2205, 6, 148346, 37016, 98071, 119718, 1211, 48706, 23173, 29060, 7369, 9934, 98071, 4667, 6, 23173, 98071, 148346, 6093, 8300, 33809, 10918, 49597, 12483, 153585, 3069, 31467, 3131, 75230, 5, 148346, 77188, 1211, 23050, 48775, 20260, 4838, 6293, 1285, 49597, 76961, 4, 199145, 657, 98071, 15388, 81444, 23050, 148346, 1211, 1470, 98071, 2050, 36324, 75230, 6, 113889, 35596, 4, 1470, 33809, 1211, 128750, 4113, 27105, 194885, 1211, 220224, 1470, 98071, 1982, 4, 163139, 49597, 42572, 25207, 27105, 8947, 6319, 68558, 133190, 6235, 148346, 1211, 5, 1470, 98071, 4852, 1285, 49597, 6, 128750, 63593, 24152, 29259, 2882, 2648, 98071, 2648, 29771, 4852, 98071, 39340, 3523, 98071, 2882, 6319, 29259, 1211, 21776, 29659, 1644, 42572, 33809, 1211, 4151, 19302, 54260, 5666, 148346, 98071, 2442, 61397, 192956, 2442, 1470, 33809, 1211, 10498, 39083, 5, 4113, 2932, 29771, 98071, 16803, 98071, 59461, 6, 75322, 39083, 98071, 75290, 3373, 119718, 98071, 159696, 194885, 2442, 32, 194885, 1211, 220224, 1470, 98071, 2050, 54745, 1211, 3523, 98071, 2882, 6319, 29259, 1211, 148346, 2442, 98071, 35189, 1470, 98071, 1211, 1285, 49597, 657, 29259, 35465, 42572, 33809, 1211, 4151, 115556, 506, 29259, 2882, 32, 6, 76776, 4, 199145, 1470, 98071, 4852, 95455, 18583, 26612, 6319, 71804, 183216, 36324, 13845, 107581, 32, 37922, 98071, 89930, 37826, 9934, 98071, 4667, 6, 26394, 238144, 13497, 42572, 33809, 1211, 620, 29771, 6293, 4, 36324, 75230, 1470, 98071, 1211, 13159, 3523, 98071, 2882, 132025, 8903, 119132, 3069, 31467, 364, 53414, 4, 163139, 49597, 4838, 4151, 119718, 92605, 2702, 114436, 115556, 6, 238144, 13497, 42572, 33809, 1211, 31249, 29771, 6293, 27, 3523, 98071, 2882, 4838, 83182, 3131, 4, 7369, 119055, 29060, 9934, 98071, 4667, 874, 33809, 56880, 874, 98071, 2882, 1470, 98071, 2050, 7508, 33809, 2442, 30741, 2865, 33809, 13159, 1211, 22639, 35189, 128750, 98071, 5, 7369, 119055, 29060, 1470, 98071, 2050, 364, 54260, 46053, 6, 23173, 29259, 23405, 54260, 1211, 3069, 31467, 4838, 81444, 4484, 16932, 27, 1470, 98071, 4852, 163139, 49597, 6, 71804, 23405, 42542, 20315, 1211, 4838, 115556, 36324, 75230, 17190, 148346, 1211, 6, 68558, 6, 23173, 148346, 29060, 32, 1470, 33809, 1211, 199145, 1470, 33809, 1211, 18583, 6, 159696, 51723, 42542, 18225, 4113, 22426, 13159, 1470, 33809, 36909, 710, 68558, 874, 12, 2882, 215031, 17190, 148346, 1211, 32, 5, 5, 95455, 364, 54260, 16803, 4, 3523, 98071, 2882, 6, 159696, 15388, 10676, 37826, 2648, 98071, 2882, 15231, 64659, 1211, 6235, 236376, 27, 4151, 115556, 6, 238144, 13497, 125523, 4838, 79981, 27, 9424, 98071, 119055, 39083, 2882, 7369, 1470, 98071, 2050, 7511 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 49597, 2882, 6, 148346, 93704, 23173, 159212, 42572, 208048, 83182, 159696, 38249, 1470, 33809, 1211, 564, 23173, 33809, 98071, 38249, 27, 1470, 33809, 1211, 41764, 33809, 185226, 163139, 49597, 6319, 54260, 59461, 119718, 39083, 2882, 81444, 6, 148346, 98071, 4852, 98071, 56169, 220273, 7511, 49597, 2882, 74806, 1644, 29771, 152656, 4, 1470, 98071, 4852, 6, 148346, 21106, 2648, 6235, 119718, 29766, 1211, 1470, 98071, 1211, 874, 98071, 28320, 6, 76776, 4944, 57277, 16175, 33809, 17017, 1470, 98071, 1211, 6, 76776, 40920, 147713, 150839, 75230, 4852, 5, 2451, 4838, 4, 199145, 32, 199145, 1470, 98071, 4852, 74806, 12483, 32, 2808, 33809, 1211, 4838, 4269, 90848, 148346, 4113, 4, 9934, 5, 1982, 123073, 6, 13497, 98071, 24621, 6, 35596, 36909, 77188, 42572, 33809, 1211, 4838, 4151, 148346, 29259, 98071, 38249, 6, 148346, 29060, 1644, 36324, 75230, 15529, 98071, 4484, 12, 2451, 6, 76776, 4, 199145, 1470, 98071, 4852, 32, 1470, 98071, 2442, 6319, 35596, 3523, 98071, 2882, 10676, 6, 238144, 59461, 32, 6, 148346, 40096, 171433, 1751, 98071, 75290, 2882, 23847, 4, 6, 148346, 208048, 40920, 6, 238144, 13497, 7369, 5, 159696, 33716, 1751, 75230, 1211, 220273, 6, 128750, 54260, 44779, 1285, 49597, 67826, 49597, 2865, 33809, 23405, 1470, 98071, 1211, 364, 75230, 4852, 4, 1470, 33809, 1211, 37922, 98071, 89930, 22518, 29259, 2882, 12, 2451, 364, 54260, 4, 6, 137218, 159696, 2442, 4, 6, 76776, 1285, 49597, 2442, 4838, 34076, 48350, 109316, 4, 4838, 34076, 48350, 109316, 6, 76776, 7508, 98071, 2442, 32, 95766, 4838, 4269, 48904, 26394, 6, 107581, 119718, 25207, 3496, 71577, 2882, 1470, 33809, 13497, 6093, 12, 2451, 3496, 26612, 4944, 26612, 4944, 26612, 38, 191795, 4944, 29771, 4944, 29771, 38, 2648, 98071, 14857, 98071, 8580, 42542, 3523, 98071, 2882, 9213, 36909, 101470, 36324, 13845, 107581, 6, 170355, 12984, 36324, 75230, 17824, 98071, 23405, 5, 1285, 49597, 66168, 49597, 64213, 3056, 4852, 54260, 6093, 3523, 98071, 2882, 132025, 8903, 119132, 3069, 31467, 364, 53414, 4, 163139, 49597, 4838, 4151, 119718, 92605, 2702, 114436, 115556, 6, 238144, 13497, 42572, 33809, 1211, 100863, 29766, 5, 123736, 148346, 6093, 4838, 36909, 98071, 28726, 6, 23173, 10676, 6235, 94741, 20260, 42542, 7369, 9934, 98071, 4667, 3523, 98071, 2882, 192183, 26394, 120580, 98071, 61621, 292, 119718, 33809, 38, 4151, 16175, 33809, 17017, 1470, 98071, 4852, 17824, 75230, 2702, 4, 1470, 33809, 1211, 6, 64260, 22518, 29259, 2882, 1751, 75230, 1211, 220273, 1470, 54260, 59461, 12, 2451, 199145, 6, 212484, 2882, 1470, 98071, 2442, 3523, 98071, 2882, 620, 29771, 152656, 4, 1751, 54260, 2648, 98071, 2050, 170479, 1211, 1470, 29259, 4667, 6, 101470, 27, 29771, 148346, 6093, 81444, 1470, 98071, 4852, 1285, 49597, 6, 40096, 2050, 120467, 36909, 6093, 215031, 4, 41764, 33809, 185226, 163139, 49597, 18225, 119055, 39083, 2882, 133190, 119055, 23173, 28320, 23173, 37922, 98071, 8300, 16667, 4838, 21776, 22426, 1644, 98071, 39340, 1470, 33809, 1211, 4151, 6, 35596, 36909, 6093, 1470, 98071, 4852, 3069, 31467, 148932, 9424, 29259, 2882, 17824, 54260, 2882, 292, 7511, 49597, 2882, 1470, 54260, 59461, 4, 125523, 6, 59929, 26612, 4667, 4, 1470, 54260, 16667, 1751, 23173, 36909, 4852, 98071, 7511, 49597, 75290, 1470, 33809, 1211, 6, 186145, 36909 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28726, 75578, 42572, 33809, 66293, 5, 905, 183512, 53414, 4, 2205, 6, 64260, 42572, 1644, 98071, 12483, 220224, 1751, 75230, 1211, 4, 6428, 12, 6, 35596, 36909, 53414, 4, 3069, 31467, 2050, 18583, 8903, 7511, 49597, 15388, 42572, 33809, 1211, 23050, 5, 2648, 98071, 40920, 1211, 1470, 75230, 28726, 2050, 4, 1470, 98071, 1211, 7508, 6093, 364, 21106, 148346, 2882, 33809, 177243, 4484, 29259, 2882, 42572, 33809, 1211, 1285, 49597, 6, 148346, 29060, 44779, 6, 23173, 29259, 1211, 12, 2451, 620, 29771, 152656, 119055, 119273, 33809, 4838, 6293, 4231, 114436, 6, 159696, 21295, 38, 2451, 119055, 39083, 16803, 125523, 5332, 36909, 59461, 6, 159696, 67873, 4838, 119055, 29259, 148346, 14856, 170479, 1285, 49597, 2442, 81444, 6235, 148346, 1211, 32, 2808, 33809, 1211, 163139, 49597, 35189, 19302, 98071, 5666, 13497, 1751, 75230, 1211, 9424, 119718, 98071, 81829, 1470, 75230, 28726, 2050, 4, 36324, 75230, 163139, 49597, 1470, 98071, 1211, 874, 98071, 28320, 45223, 1211, 16175, 232187, 6293, 220273, 4838, 6, 128750, 54260, 192956, 2442, 1470, 33809, 1211, 4838, 657, 29259, 40920, 4852, 98071, 7511, 49597, 75290, 18583, 235210, 1644, 33809, 23405, 12, 2451, 3496, 26612, 4944, 26612, 4944, 26612, 38, 3496, 29771, 4944, 29771, 4944, 29771, 38, 2442, 98071, 9719, 98071, 64213, 1470, 98071, 4852, 1751, 159696, 2442, 3069, 31467, 18583, 148346, 25207, 183216, 36324, 75230, 194885, 3523, 91595, 5, 1470, 98071, 4852, 123736, 5, 159696, 15388, 199145, 37826, 7369, 6235, 236376, 32, 163139, 49597, 6, 71804, 23405, 42542, 54745, 1211, 4838, 115556, 36324, 75230, 17190, 148346, 1211, 68558, 6, 23173, 148346, 29060, 32, 1470, 33809, 1211, 199145, 1470, 33809, 1211, 18583, 6, 159696, 51723, 42542, 18225, 5332, 22426, 13159, 1470, 33809, 159212, 68558, 874, 98071, 57277, 170355, 17190, 148346, 1211, 32, 95455, 364, 54260, 16803, 4, 3523, 98071, 2882, 6, 159696, 15388, 21776, 2050, 37826, 7369, 6235, 236376, 27, 2181, 1470, 98071, 4852, 25491, 39340, 874, 98071, 57277, 2865, 39083, 3069, 31467, 2442, 7682, 67826, 49597, 1644, 6235, 119718, 29766, 1211, 1470, 98071, 1211, 364, 75230, 4852, 4, 123736, 148346, 6093, 6, 64260, 6, 238144, 13497, 163139, 35189, 35189, 115556, 42572, 33809, 1211, 620, 29771, 6293, 5, 9424, 98071, 119055, 39083, 2882, 7369, 1470, 98071, 2050, 207748, 2882, 3523, 98071, 2882, 6, 148346, 93704, 23173, 159212, 42572, 26612, 5, 76776, 83182, 159696, 38249, 2205, 6, 148346, 23173, 33809, 98071, 38249, 32, 36324, 4838, 115556, 6, 238144, 13497, 42572, 33809, 1211, 620, 29771, 6293, 4, 6, 225975, 2882, 18225, 4, 28726, 148346, 2882, 7369, 1470, 98071, 148346, 6093, 6, 148346, 79238, 59929, 67882, 710, 36419, 1751, 159696, 25207, 657, 29259, 35465, 27, 120202, 76776, 61621, 4, 364, 54260, 16803, 2181, 4, 21106, 4113, 3496, 26612, 238144, 2442, 98071, 2050, 6, 23173, 148346, 4113, 1982, 212484, 4113, 4, 4838, 148346, 98071, 9934, 98071, 4667, 4838, 79981, 3069, 31467, 7508, 174121, 159696, 1211, 32, 4151, 118473, 506, 64260, 1470, 98071, 2050, 132025, 8903, 13982, 54260, 2882, 41764, 33809, 185226, 1470, 98071, 8300, 16932, 9424, 6, 186145, 152656, 9934, 98071, 4667, 874, 98071, 2882, 7508, 40096, 59461, 1211, 38, 5, 5, 159696, 2442, 6, 238144, 16803, 4, 199145, 2181, 193178, 6428, 99766, 1470, 98071, 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 ]
[ 148346, 2442, 33809, 7511, 49597, 1211, 18133, 224220, 710, 33809, 7511, 49597, 119364, 32, 7369, 37826, 113889, 4667, 42572, 33809, 1211, 220224, 6319, 29259, 1211, 4231, 16870, 98071, 4113, 3523, 98071, 2882, 6235, 506, 40096, 27, 1470, 33809, 1211, 1470, 98071, 8300, 16932, 4151, 87311, 13497, 7369, 9934, 98071, 4667, 12, 119718, 98071, 36324, 75230, 42542, 7369, 151614, 148346, 1211, 42572, 33809, 1211, 220224, 4838, 6, 63188, 98071, 4113, 4, 1470, 75230, 148346, 7369, 37826, 220224, 6319, 54260, 1211, 4838, 13982, 13159, 7511, 49597, 2882, 3069, 31467, 8903, 3131, 98071, 20911, 32, 6, 101328, 4, 6, 148346, 98071, 104238, 37826, 7369, 220224, 125523, 3069, 31467, 8903, 225975, 2882, 21422, 3523, 98071, 38249, 27, 2808, 98071, 1211, 7508, 98071, 1982, 4852, 7511, 49597, 26394, 2702, 364, 21106, 148346, 100863, 29771, 36909, 16747, 98071, 38249, 4, 364, 21106, 148346, 119718, 26612, 1982, 50856, 98071, 38249, 6319, 137377, 151614, 148346, 1211, 9934, 98071, 4667, 6235, 22426, 1644, 171433, 16932, 2882, 206105, 186046, 21106, 109316, 6235, 94741, 20260, 12483, 1644, 98071, 7511, 49597, 13159, 18583, 6, 75322, 39083, 4, 1470, 33809, 1211, 6319, 29259, 1211, 4484, 75230, 4113, 4667, 3069, 31467, 6, 148346, 26612, 506, 6093, 81829, 220224, 37826, 7369, 3523, 98071, 2882, 6235, 506, 40096, 5, 7369, 37826, 9934, 98071, 4667, 23050, 36909, 98071, 21295, 36324, 75230, 4, 119718, 98071, 206105, 6, 148346, 165592, 33809, 83182, 4113, 115374, 4, 84475, 4, 7508, 98071, 40920, 98071, 75290, 6235, 4852, 171433, 2050, 4, 874, 48904, 98071, 119132, 4, 119718, 39083, 28320, 1470, 98071, 2050, 1470, 98071, 1211, 1470, 54260, 1211, 9424, 29259, 2882, 42572, 33809, 1211, 6, 148346, 165592, 33809, 83182, 4113, 9934, 29259, 28320, 1470, 98071, 1211, 6319, 137377, 6, 23173, 29259, 5666, 236376, 1211, 4, 2808, 33809, 1211, 76961, 51723, 37826, 7369, 220224, 1470, 98071, 1211, 1470, 54260, 1211, 9424, 29259, 2882, 6235, 2882, 33809, 4852, 2050, 6150, 36909, 101470, 874, 98071, 2882, 153585, 1470, 54260, 5666, 54260, 5666, 5, 10918, 49597, 38249, 874, 5, 2648, 98071, 38249, 1470, 33809, 1211, 6319, 21106, 17645, 8903, 119718, 29766, 65482, 2050, 6319, 137377, 71577, 23173, 40096, 27, 1470, 33809, 1211, 874, 98071, 57277, 18279, 171433, 69801, 2882, 9934, 98071, 4667, 1470, 98071, 2050, 4838, 159696, 4484, 18583, 1285, 49597, 1470, 75230, 15388, 119055, 29766, 29771, 113889, 119718, 4, 874, 98071, 2882, 4838, 874, 98071, 23269, 42572, 33809, 1211, 4838, 24621, 36909, 98071, 2702, 97634, 36909, 13845, 4, 199145, 1285, 49597, 66168, 64659, 1211, 37826, 1470, 98071, 2050, 133190, 6319, 54260, 5666, 2865, 39083, 3523, 98071, 2882, 6235, 104149, 215031, 4, 2442, 29060, 7369, 1470, 98071, 2050, 6, 23173, 29259, 1211, 193042, 24621, 1470, 98071, 1211, 874, 75230, 1644, 12, 137, 159696, 16803, 18583, 25616, 98071, 12984, 4, 119055, 33809, 18225, 6, 94741, 63020, 7511, 49597, 2882, 4, 6235, 20315, 20260, 874, 29259, 1211, 119055, 99766, 4, 119055, 119273, 18583, 25616, 98071, 12984, 27, 3496, 26612, 4944, 26612, 4944, 26612, 38, 5, 5, 3496, 29771, 4944, 29771, 4944, 29771, 38, 5, 5, 155, 119718, 29766, 29771, 113889, 119718, 292, 6, 212484, 153585, 119055, 29766, 29771, 113889, 119718, 5, 1285, 49597, 66168, 64659, 1211, 21776, 48904, 98071, 69452, 1751 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 75230, 1211, 3523, 98071, 2882, 28415, 12, 101328, 4852, 6319, 33809, 51723, 119055, 6093, 2181, 163139, 49597, 1644, 292, 1470, 98071, 2050, 1470, 98071, 4852, 6, 21106, 8300, 54260, 16667, 27, 2451, 3496, 26612, 4944, 26612, 4944, 26612, 38, 191795, 4944, 29771, 4944, 29771, 38, 2808, 33809, 1211, 4838, 6, 61397, 75230, 3131, 215031, 6, 23173, 33809, 2050, 12, 37922, 98071, 89930, 6, 71804, 40920, 1285, 49597, 14857, 98071, 64213, 193042, 24621, 1470, 98071, 148346, 53414, 4484, 137377, 5, 5, 199145, 6319, 33809, 1982, 2050, 81444, 207748, 32, 2451, 1470, 33809, 36909, 13497, 54260, 1211, 4, 42572, 75230, 7972, 92605, 13159, 4, 9213, 36909, 13497, 54260, 1211, 38, 1662, 2451, 4838, 3523, 29259, 6093, 166464, 6319, 33809, 63532, 6, 68558, 4, 1470, 33809, 1211, 6428, 33809, 620, 29771, 36909, 16803, 36324, 75230, 7508, 33809, 98071, 4484, 4, 292, 37826, 9213, 30750, 2865, 98071, 89930, 220273, 7511, 49597, 2882, 1470, 54260, 55546, 6235, 2882, 33809, 24152, 29060, 1470, 98071, 1211, 9934, 29259, 2882, 6, 23173, 29259, 1211, 12, 292, 148932, 18583, 31249, 29771, 36909, 114436, 8248, 31467, 1211, 2808, 33809, 36909, 240863, 119055, 29060, 9934, 98071, 4667, 28415, 6319, 54260, 5666, 2865, 39083, 3523, 98071, 2882, 1470, 33809, 74813, 53414, 27, 2648, 98071, 14857, 98071, 8580, 37826, 1470, 33809, 36909, 8903, 4113, 36909, 13497, 1285, 49597, 1470, 75230, 15388, 12, 119055, 6093, 9934, 29766, 98833, 9934, 98071, 4667, 48494, 203232, 81444, 4, 1470, 33809, 13497, 6093, 35189, 657, 98071, 7511, 49597, 4113, 42572, 33809, 1211, 17190, 148346, 1211, 4, 6, 159696, 15388, 6, 17645, 35465, 18583, 31249, 29771, 36909, 65482, 2050, 8248, 31467, 1211, 2808, 33809, 13497, 6093, 240863, 32, 2451, 3496, 26612, 159696, 2442, 4, 4269, 98071, 148346, 4838, 6293, 4838, 1751, 23269, 22426, 35044, 4, 17190, 88660, 159696, 2442, 7508, 6093, 3373, 29771, 10918, 49597, 21106, 6093, 21776, 119718, 39083, 33809, 10918, 49597, 4113, 27, 2648, 98071, 14857, 98071, 8580, 37826, 9934, 98071, 4667, 42572, 33809, 1211, 4151, 6, 76776, 40920, 220273, 7511, 49597, 2882, 1470, 75230, 2702, 61397, 33809, 2882, 4, 4151, 6, 88660, 148346, 238144, 2882, 98071, 4484, 37826, 1470, 98071, 2050, 3523, 98071, 2882, 120202, 8903, 212484, 2882, 5, 123736, 148346, 6093, 199145, 4269, 98071, 104238, 37826, 7369, 6235, 119718, 39083, 2882, 204403, 16932, 119055, 53414, 42572, 33809, 1211, 10676, 1470, 33809, 2865, 8903, 238144, 13497, 28726, 12984, 16175, 33809, 17017, 81444, 4, 1470, 33809, 1211, 81444, 4, 163139, 49597, 17190, 506, 26612, 1982, 98071, 2702, 4, 151614, 148346, 1211, 1470, 98071, 2050, 76961, 34076, 98071, 35189, 6235, 10918, 49597, 16932, 2882, 4, 36324, 75230, 163139, 49597, 1470, 98071, 1211, 42572, 98071, 148346, 6093, 4, 1470, 33809, 1211, 6, 150839, 64260, 36324, 75230, 3523, 98071, 4667, 3523, 98071, 2050, 241997, 6235, 36909, 98071, 49008, 1285, 49597, 3523, 75230, 2882, 98071, 39340, 6, 148346, 113889, 2648, 98071, 2050, 12, 7369, 6, 94741, 63020, 1470, 54260, 1211, 170355, 4667, 4, 46050, 49597, 40920, 1470, 98071, 2050, 1470, 33809, 13497, 6093, 4151, 364, 84577, 6, 47351, 4838, 83182, 6, 170355, 4667, 27, 1470, 33809, 1211, 199145, 1751, 75230, 35189, 96256, 98071, 2050, 36324, 75230, 4151, 4269, 48904, 89930, 6, 75290, 149364 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6093, 29659, 119055, 12483, 1285, 49597, 14857, 98071, 1211, 1470, 98071, 4852, 6, 23173, 137377, 6, 23173, 7508, 6093, 4269, 59929, 4, 37826, 7369, 6, 128750, 54260, 6093, 120202, 5666, 21660, 75230, 15388, 10676, 123736, 105439, 12, 199145, 6319, 33809, 112907, 207748, 874, 98071, 2882, 1470, 98071, 2050, 32, 1470, 33809, 1211, 34076, 40096, 1470, 98071, 1211, 4151, 6, 159696, 21295, 23173, 29259, 1211, 37826, 7369, 9934, 98071, 4667, 4838, 159696, 4484, 23269, 212484, 2882, 3523, 54260, 1211, 1470, 98071, 1211, 6428, 12, 6, 119859, 46053, 6, 23173, 29259, 1211, 5, 125523, 4151, 41764, 29259, 5, 7511, 49597, 4484, 44779, 18583, 148346, 48775, 4944, 16932, 6, 76776, 40920, 1470, 98071, 4852, 1470, 98071, 2050, 132025, 8903, 119132, 6235, 159696, 1211, 1285, 49597, 163139, 107581, 6, 128750, 98071, 5666, 5, 4484, 29259, 2882, 42572, 33809, 1211, 4151, 657, 33809, 159212, 1470, 33809, 1211, 7508, 6093, 48277, 48904, 4944, 39083, 98071, 5666, 119718, 23173, 63593, 141943, 98071, 75290, 3523, 98071, 46685, 42572, 33809, 1211, 35189, 8248, 31467, 1211, 5, 7508, 6093, 364, 98071, 17017, 1470, 98071, 4852, 125523, 6, 21106, 7611, 6235, 159696, 1211, 18583, 119718, 39083, 4484, 13497, 4, 41764, 33809, 185226, 163139, 49597, 3523, 91595, 1211, 2808, 98071, 113889, 119718, 13497, 4, 123736, 148346, 6093, 6319, 29259, 1211, 21776, 15388, 1470, 98071, 4852, 3523, 98071, 2882, 6235, 240863, 12483, 4, 8947, 1470, 98071, 4852, 6235, 159696, 1211, 67826, 49597, 1644, 1470, 33809, 1211, 119718, 23173, 46598, 4, 1470, 33809, 1211, 7508, 98071, 66168, 49597, 1211, 1470, 98071, 1211, 153585, 6, 240863, 37826, 6235, 36909, 98071, 21295, 4, 36324, 133190, 1470, 6, 97634, 13159, 1470, 98071, 69855, 120467, 6235, 159696, 1211, 42572, 33809, 1211, 153585, 1285, 49597, 59461, 6, 59461, 119718, 1211, 2702, 98071, 80885, 2050, 4, 199145, 37826, 1470, 98071, 2050, 1470, 98071, 1211, 36324, 13845, 107581, 54260, 905, 23173, 26394, 18583, 148346, 1211, 4838, 79981, 1470, 75230, 2702, 8903, 87311, 21295, 1470, 98071, 1211, 7508, 6093, 1751, 159696, 2442, 6093, 6, 76776, 40920, 292, 3523, 54260, 1211, 5666, 54260, 1211, 4, 29771, 1982, 1470, 98071, 4852, 7369, 4, 1470, 33809, 1211, 6, 64260, 1470, 98071, 4852, 6428, 12, 8248, 31467, 1211, 4, 1470, 33809, 1211, 6, 64260, 1470, 98071, 4852, 1285, 49597, 6, 159696, 21295, 1285, 49597, 6, 148346, 48904, 29259, 18415, 4, 119055, 29771, 1982, 5, 2808, 98071, 148346, 6093, 119718, 98071, 16747, 16747, 98071, 4484, 36324, 75230, 36909, 98071, 1644, 657, 29259, 2648, 1470, 33809, 1211, 41764, 29259, 1211, 4, 3523, 54260, 2882, 9934, 98071, 874, 98071, 2882, 364, 59929, 2882, 98071, 39340, 81414, 49597, 2882, 21422, 26612, 3523, 29259, 46598, 17190, 148346, 1211, 4, 199145, 874, 33809, 4852, 6319, 33809, 51723, 4, 199145, 7369, 364, 77188, 1751, 75230, 1211, 36324, 75230, 6, 148346, 26612, 3131, 29259, 2865, 149364, 44779, 194885, 81414, 49597, 2882, 27, 1470, 33809, 1211, 95455, 4269, 48904, 26394, 6, 76776, 40920, 147713, 150839, 75230, 4852, 874, 98071, 2882, 76961, 194885, 6, 148346, 26612, 5, 4852, 98071, 89930, 1470, 98071, 4852, 81444, 4667, 1470, 98071, 50856, 123073, 195164, 1211, 3523, 98071, 2882, 28415, 4, 163139, 49597, 4838, 158628, 19302, 54260, 1211, 6, 148346, 1644, 64260 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6093, 26612, 4667, 4838, 6, 75290, 149364, 42572, 33809, 1211, 4838, 6, 212394, 4, 199145, 1470, 98071, 4852, 133190, 199145, 1470, 33809, 36909, 23269, 3131, 57277, 49008, 42572, 33809, 1211, 215031, 3131, 159696, 2442, 6093, 6319, 48775, 20260, 29259, 2050, 4, 1470, 33809, 1211, 199145, 18583, 4838, 6, 148346, 93704, 29259, 2882, 33809, 23405, 42542, 7369, 151614, 148346, 1211, 32, 123736, 96256, 98071, 56169, 292, 6, 148346, 40096, 29771, 2932, 1470, 33809, 1211, 6, 148346, 26612, 4151, 3523, 29259, 1211, 42572, 33809, 1211, 4151, 8248, 31467, 1211, 4, 6, 238144, 16803, 7369, 1285, 49597, 14857, 8580, 220273, 8903, 5666, 75230, 4, 292, 123736, 148346, 6093, 6428, 12, 1470, 98071, 148346, 139365, 165592, 6093, 33809, 23405, 42572, 33809, 1211, 36324, 13845, 107581, 3523, 91595, 4, 874, 98071, 2882, 1285, 49597, 6319, 137377, 5, 3131, 119718, 98071, 47526, 76632, 49597, 81829, 42572, 33809, 1211, 364, 33809, 23405, 6093, 98071, 38249, 19532, 33809, 27105, 12415, 12483, 9934, 98071, 4667, 6, 148346, 26612, 4151, 6, 148346, 98071, 68959, 36326, 292, 3523, 54260, 1211, 4, 2648, 120467, 42542, 7369, 3523, 98071, 2882, 28415, 5, 13159, 37826, 9934, 98071, 4667, 1470, 98071, 2050, 132025, 8903, 226112, 152656, 4838, 6, 148346, 135118, 1644, 4838, 6293, 4838, 6, 148346, 33809, 1644, 119718, 23173, 1470, 33809, 1211, 7369, 37826, 4852, 98071, 4667, 120202, 8903, 39293, 56169, 5, 6, 236376, 1211, 37826, 7369, 1751, 75230, 1211, 28415, 6, 159696, 15388, 6319, 54260, 1211, 6, 170355, 4667, 3523, 98071, 2882, 6235, 119718, 39083, 2882, 5, 6093, 37826, 9934, 98071, 4667, 6235, 119718, 39083, 2882, 133190, 120202, 2442, 33809, 12483, 5, 6319, 16870, 54260, 7369, 170479, 7508, 98071, 40920, 98071, 4484, 51678, 123736, 101470, 20315, 2050, 6, 141943, 2932, 98071, 21295, 98071, 38249, 6, 148346, 26612, 31249, 33809, 2702, 1470, 98071, 148346, 6093, 7508, 6093, 42572, 48775, 23269, 4, 199145, 37826, 1470, 98071, 2050, 6235, 22426, 29259, 7511, 49597, 20911, 5, 1837, 506, 64260, 7369, 23050, 1982, 22151, 2882, 120202, 23822, 29259, 148346, 1211, 42572, 33809, 1211, 9934, 98071, 4667, 76961, 9934, 29259, 2882, 98071, 39340, 163139, 49597, 24152, 33809, 183216, 1470, 33809, 1211, 36324, 75230, 61397, 33809, 36909, 65482, 67826, 49597, 2865, 33809, 183216, 5, 4838, 152656, 55242, 1644, 148346, 1211, 6, 148346, 135118, 1644, 1470, 98071, 4852, 6235, 39293, 46053, 1470, 54260, 59461, 4838, 115556, 4, 29766, 46598, 23050, 21733, 54260, 20315, 2050, 4, 1470, 98071, 1211, 6, 148346, 2442, 98071, 67873, 4, 4838, 1470, 98071, 13497, 13845, 98071, 2932, 35596, 4, 119055, 29259, 4852, 2882, 1470, 75230, 2702, 4, 1470, 33809, 1211, 23050, 148346, 1211, 2808, 98071, 2050, 1470, 98071, 4852, 6235, 147713, 1211, 4838, 9424, 29259, 2882, 33809, 23405, 5, 2451, 1285, 49597, 9424, 29259, 2882, 33809, 23405, 42542, 18225, 4838, 6319, 33809, 4484, 160204, 32, 292, 37826, 6235, 128750, 4113, 98833, 1285, 14857, 45631, 5, 88660, 1644, 4852, 212915, 6, 148346, 26612, 1285, 49597, 66168, 49597, 64213, 1470, 98071, 1211, 115222, 3131, 65482, 37826, 9934, 98071, 4667, 125523, 3523, 98071, 2882, 1470, 75230, 2702, 8903, 36909, 98071, 33716, 2648, 120467, 6, 148346, 98071, 17160, 19302, 54260, 5666, 151227, 2050, 4, 1470, 98071, 4852, 6, 17645, 35465, 1470, 98071, 83182 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 128750, 98071, 6, 148346, 26612, 1470, 98071, 2050, 6235, 159696, 1211, 1285, 200795, 23173, 148346, 29060, 292, 6319, 75230, 152656, 4838, 9424, 29259, 2882, 33809, 23405, 4, 1470, 33809, 1211, 874, 98071, 2882, 1470, 98071, 2442, 42572, 147713, 2882, 7369, 4838, 159696, 46985, 29259, 67873, 4838, 6293, 7508, 139365, 98071, 68959, 23269, 5, 6428, 99766, 42572, 147713, 2882, 1470, 98071, 2050, 1751, 75230, 1211, 6, 23173, 33809, 18553, 98071, 214766, 12483, 6, 47351, 1470, 75230, 28726, 2050, 4, 2205, 8947, 42572, 147713, 2882, 9934, 98071, 4667, 171433, 506, 75230, 148346, 1211, 95455, 657, 54260, 171428, 4838, 152656, 6319, 39083, 5, 1751, 75230, 1211, 1285, 49597, 9424, 238144, 18415, 119055, 29771, 4667, 4, 163139, 49597, 7369, 37826, 6319, 29259, 1211, 8300, 29259, 2882, 33809, 183216, 3523, 98071, 2882, 23050, 4484, 75230, 36909, 2050, 4, 1470, 33809, 1211, 7369, 42572, 1644, 35596, 220224, 6, 104149, 1470, 98071, 113889, 119718, 13497, 133190, 1470, 98071, 1211, 19302, 33809, 148346, 5, 68558, 4838, 9424, 29259, 2882, 33809, 23405, 163139, 49597, 42542, 18225, 32, 36324, 75230, 1470, 75230, 4667, 6, 94741, 40920, 9934, 98071, 4667, 1470, 98071, 2050, 4, 36324, 18583, 1285, 49597, 206105, 119055, 29771, 12984, 4, 199145, 7369, 37826, 9934, 98071, 4667, 120202, 59461, 98071, 46053, 42572, 33809, 1211, 4151, 6, 23173, 148346, 29060, 4, 37826, 9934, 98071, 4667, 2808, 98071, 148346, 6093, 8903, 75290, 2882, 7508, 12, 6, 159696, 21295, 4, 1470, 33809, 1211, 7369, 6, 21106, 54260, 1211, 37826, 9934, 98071, 4667, 1470, 75230, 4667, 18583, 4484, 29259, 205131, 1751, 54260, 5, 2648, 98071, 2050, 6, 238144, 12984, 119055, 33809, 506, 98071, 1211, 27, 1285, 49597, 18583, 148346, 98071, 16747, 33809, 183216, 874, 98071, 28320, 115222, 46685, 1644, 4, 3069, 31467, 119055, 13845, 12984, 7369, 37826, 4852, 98071, 4667, 3069, 31467, 23269, 25391, 98071, 148346, 1211, 4, 194885, 1211, 1470, 75230, 4667, 28415, 6093, 207748, 2865, 109316, 4, 6319, 54260, 119132, 215594, 7369, 3523, 98071, 2882, 2205, 4484, 54260, 59461, 215594, 1470, 98071, 2050, 3523, 98071, 2050, 4, 36324, 75230, 163139, 49597, 6, 148346, 4113, 63593, 46598, 7369, 119055, 39083, 2882, 9934, 98071, 4667, 1470, 98071, 23405, 48904, 64213, 6, 23173, 75230, 2702, 8903, 3131, 203749, 1211, 24464, 17190, 148346, 1211, 4, 199145, 1470, 98071, 4852, 4838, 159696, 4484, 42572, 33809, 1211, 1470, 98071, 2050, 7369, 8903, 8580, 132025, 165592, 29259, 2882, 4, 1470, 33809, 1211, 1751, 98071, 12415, 47709, 203232, 22753, 123073, 21776, 15388, 151614, 148346, 1211, 7746, 3523, 98071, 2882, 132025, 8903, 506, 75230, 148346, 1211, 42572, 208048, 83182, 5666, 54260, 1211, 5, 5, 199145, 16175, 75230, 119859, 170355, 17190, 148346, 1211, 32, 1470, 98071, 1211, 4151, 6, 128750, 63593, 35189, 9424, 29259, 2882, 33809, 23405, 37826, 9934, 98071, 4667, 7508, 98071, 66168, 64659, 1211, 3069, 31467, 6093, 29659, 6, 23173, 33809, 36909, 5, 8903, 119718, 29766, 152656, 6, 23173, 7508, 6093, 120202, 2882, 54260, 1644, 33809, 23405, 137, 22426, 23173, 2882, 54260, 28726, 148346, 1211, 2909, 6428, 33809, 2442, 4944, 212484, 16747, 98071, 4484, 18133, 17824, 75230, 36419, 23173, 2882, 98071, 21733, 12483, 874, 98071, 2882, 18133, 97995, 75230, 30750, 1470, 75230, 2702, 98071, 46598, 4, 37826, 7369, 9934, 98071, 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 ]
[ 3069, 31467, 6093, 29659, 4838, 6, 75290, 6235, 97634, 1211, 8300, 33809, 1285, 49597, 19302, 71512, 3523, 64260, 98071, 64213, 4, 199145, 6319, 33809, 51723, 1285, 49597, 2442, 87442, 42572, 33809, 1211, 1285, 49597, 1470, 33809, 194734, 164863, 63593, 33809, 183216, 4, 1470, 33809, 1211, 36909, 1644, 98071, 20260, 151614, 148346, 1211, 9934, 98071, 4667, 194885, 1470, 54260, 15388, 6235, 226112, 15388, 42572, 33809, 1211, 1470, 54260, 1211, 3523, 64260, 98071, 8580, 3069, 31467, 4151, 221895, 2442, 12, 37271, 36909, 33809, 1211, 6, 148346, 23173, 98071, 40920, 42572, 33809, 1211, 73095, 25616, 29060, 23173, 42572, 33809, 1211, 115222, 46685, 1644, 1470, 98071, 4852, 19302, 29766, 6235, 119718, 29766, 1211, 4, 36324, 1285, 49597, 2648, 98071, 2702, 10918, 49597, 22426, 1644, 98071, 1211, 1470, 98071, 1211, 115222, 46685, 1644, 1470, 98071, 4852, 120202, 23269, 3131, 119718, 26612, 40920, 4, 1285, 49597, 564, 98071, 2882, 100863, 98071, 35189, 6, 148346, 165592, 33809, 12984, 620, 91595, 2648, 98071, 18583, 235210, 1644, 33809, 5666, 49008, 69872, 137, 2808, 98071, 1211, 1285, 49597, 54745, 148346, 75322, 1211, 1470, 98071, 148346, 53414, 6, 148346, 23173, 98071, 40920, 42572, 33809, 1211, 73095, 25616, 29060, 23173, 36909, 33809, 1211, 115222, 46685, 1644, 42572, 33809, 1211, 6, 159696, 148346, 6093, 26394, 4667, 151614, 148346, 1211, 1285, 49597, 3496, 26612, 238144, 2442, 98071, 2050, 132025, 8903, 119718, 98071, 56880, 4, 36324, 1285, 49597, 6, 148346, 710, 33809, 90848, 2808, 98071, 4852, 3069, 31467, 1751, 119718, 26612, 4667, 18583, 148346, 33809, 16747, 1211, 874, 98071, 28320, 224220, 710, 33809, 5666, 4, 9934, 12, 6, 23173, 148346, 29060, 3523, 98071, 2882, 9424, 119718, 98071, 81829, 1285, 49597, 6, 128750, 75230, 12483, 4, 3069, 31467, 238144, 7511, 49597, 4484, 42572, 98071, 33716, 9934, 98071, 6, 68558, 874, 98071, 2882, 1285, 49597, 6, 26394, 4667, 20315, 147713, 40096, 1211, 69872, 137, 13159, 119055, 53414, 3523, 98071, 2882, 6, 148346, 21106, 75230, 40920, 1211, 15529, 42572, 48775, 49209, 42572, 33809, 1211, 6, 88660, 137377, 6093, 26612, 10918, 49597, 4113, 27, 2451, 2181, 42572, 13845, 2882, 117902, 23269, 2882, 46711, 6093, 292, 37826, 4838, 6, 236376, 6235, 97634, 1211, 1285, 49597, 1982, 54260, 98071, 7611, 5, 2205, 36909, 1644, 98071, 20260, 37826, 7369, 9934, 98071, 4667, 6, 23173, 98071, 148346, 6093, 8903, 119718, 29766, 152656, 4838, 6293, 4151, 38087, 54260, 23269, 2702, 2648, 98071, 75290, 120202, 2882, 54260, 1644, 33809, 23405, 2808, 98071, 1211, 4151, 9424, 29259, 2882, 33809, 23405, 292, 4838, 6293, 10676, 137, 23173, 148346, 4113, 16932, 28726, 148346, 1211, 2909, 1470, 33809, 1211, 163139, 49597, 35189, 16175, 48904, 64213, 1470, 33809, 2050, 4852, 29259, 23269, 1470, 75230, 15388, 1470, 98071, 148346, 6093, 1285, 49597, 19302, 54260, 23269, 3523, 33809, 25207, 44779, 12, 137, 2808, 33809, 16747, 168155, 6, 170355, 119718, 142429, 1470, 98071, 4852, 42572, 33809, 1211, 153585, 36909, 23173, 1982, 29766, 4113, 119718, 33809, 23405, 6, 141943, 44779, 1470, 33809, 36909, 5666, 35596, 48904, 12483, 16175, 4944, 98071, 13159, 75322, 54260, 2702, 98071, 2050, 5, 2181, 37826, 6235, 3111, 31467, 51723, 506, 75322, 53414, 4151, 42572, 33809, 36909, 10918, 49597, 4484, 22426, 33809, 2648, 98071, 75290, 364, 75322, 6093, 27, 28415, 3523, 98071, 2882 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1470, 54260, 1211, 6, 170355, 4667, 12, 1285, 49597, 19302, 33809, 148346, 5, 23173, 148346, 29060, 1470, 98071, 1211, 3523, 98071, 2882, 6, 48340, 48904, 98071, 4852, 98071, 33716, 69872, 4838, 9424, 238144, 18415, 3523, 64260, 98071, 8580, 12, 137, 35189, 27702, 159696, 2442, 55242, 36909, 6093, 5, 212915, 37826, 132025, 8903, 119718, 98071, 56880, 4, 36324, 6319, 29259, 1211, 6, 23173, 148346, 29060, 9424, 119718, 98071, 81829, 6428, 12, 6, 128750, 75230, 12483, 37826, 9934, 98071, 4667, 3523, 98071, 2882, 5, 418, 8903, 36909, 54196, 4, 1285, 49597, 6, 26394, 4667, 20315, 147713, 40096, 1211, 37826, 6319, 54260, 59461, 3523, 98071, 2882, 1470, 98071, 5666, 34575, 33809, 20911, 98071, 33716, 4, 1751, 119718, 26612, 4667, 159696, 33716, 6235, 36909, 98071, 33716, 1285, 49597, 6, 23173, 148346, 29060, 42572, 33809, 1211, 657, 98071, 4484, 119718, 98071, 2648, 98071, 61621, 69872, 3523, 33809, 6, 101328, 4, 8947, 42572, 13845, 1211, 16175, 33809, 6093, 27, 4838, 4667, 4, 119718, 98071, 220224, 42572, 13845, 1211, 27, 1470, 33809, 1211, 1285, 49597, 14857, 98071, 64213, 37826, 36324, 3131, 10676, 123736, 105439, 18583, 4944, 71577, 2882, 42572, 33809, 1211, 10676, 8903, 94741, 20260, 4, 41764, 33809, 185226, 163139, 49597, 1470, 98071, 5666, 54260, 119132, 874, 98071, 2882, 1285, 49597, 16175, 33809, 6093, 4, 119055, 39083, 2882, 1470, 98071, 2050, 162726, 33809, 34709, 33809, 23405, 1470, 75230, 2702, 8903, 36909, 13845, 2882, 1470, 75230, 4667, 657, 33809, 159212, 27, 199145, 17824, 13159, 123073, 67882, 46053, 8947, 119055, 29060, 18583, 4944, 71577, 1211, 1285, 49597, 3523, 29259, 4113, 148346, 75230, 33809, 23405, 4, 6, 21106, 7611, 17824, 13159, 6093, 119055, 29060, 153585, 4151, 364, 33809, 23405, 6093, 125523, 16175, 33809, 6093, 2451, 10918, 49597, 54745, 1211, 37826, 2181, 2648, 98071, 14857, 98071, 7611, 3523, 98071, 2882, 6235, 119718, 33809, 16803, 32, 1470, 33809, 1211, 7369, 4, 7508, 98071, 14857, 98071, 7611, 4, 29434, 54260, 2882, 9934, 98071, 4667, 81444, 6, 23173, 33809, 2050, 1470, 98071, 148346, 6093, 1285, 49597, 119859, 46053, 1470, 98071, 23405, 48904, 64213, 6, 68558, 6, 23173, 148346, 29060, 4, 1470, 33809, 1211, 41764, 33809, 185226, 163139, 49597, 47833, 1470, 98071, 148346, 6093, 98071, 75290, 2451, 119718, 120467, 18583, 26612, 18583, 148346, 1644, 141943, 76632, 49597, 3131, 38, 1470, 98071, 4852, 95455, 3523, 98071, 2882, 6319, 29259, 1211, 874, 79907, 23269, 119718, 98071, 1644, 20315, 6, 170355, 4667, 42572, 33809, 1211, 153585, 9934, 29259, 2882, 32, 2808, 33809, 1211, 1470, 98071, 1211, 6, 113889, 51723, 42572, 33809, 1211, 119055, 46646, 32, 2451, 2808, 98071, 4852, 54745, 1211, 1470, 98071, 8300, 16932, 4838, 9424, 29259, 2882, 18583, 3373, 84577, 98071, 96302, 1211, 32, 4113, 36909, 16932, 1470, 98071, 4852, 220273, 6, 148346, 4113, 101328, 94741, 98071, 2050, 1470, 98071, 8300, 16932, 120202, 225975, 1211, 9934, 98071, 4667, 42572, 33809, 1211, 6, 23173, 148346, 29060, 125523, 6, 48904, 25207, 101608, 6093, 18583, 148346, 25207, 12984, 32, 3523, 54260, 1211, 38, 2451, 506, 64260, 7369, 9934, 98071, 4667, 874, 98071, 57277, 2865, 39083, 364, 59929, 2882, 98071, 4484, 6235, 8903, 148346, 1211, 26612, 43649, 13845, 1470, 33809, 6293, 32, 2451, 3496, 26612, 159696, 2442, 4, 4151, 1644, 75230, 148346 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2882, 1470, 29259, 4667, 1470, 33809, 69708, 33809, 75290, 1211, 1285, 49597, 9424, 29259, 2882, 33809, 23405, 5, 2808, 33809, 1211, 9915, 13845, 37826, 7369, 4838, 159696, 4484, 8903, 3131, 22426, 84577, 874, 98071, 28320, 6, 148346, 33809, 1644, 119718, 23173, 5, 1285, 49597, 14857, 98071, 8580, 1470, 98071, 4852, 23269, 5666, 48904, 49008, 6, 71804, 23405, 4, 1470, 33809, 1211, 199145, 4838, 17824, 13159, 123073, 874, 120467, 6, 2050, 5, 79950, 29259, 2882, 7369, 37826, 6235, 36909, 98071, 21295, 36909, 33809, 1211, 153585, 364, 59929, 2882, 98071, 38249, 6, 240863, 4, 6, 21106, 7611, 28415, 6093, 1470, 98071, 4852, 7369, 6235, 4484, 33809, 51723, 3069, 31467, 9934, 98071, 4667, 1470, 33809, 1211, 6, 21106, 7611, 29659, 29259, 36909, 6093, 1470, 98071, 4852, 7369, 6235, 119718, 29766, 1211, 5, 1470, 54260, 105405, 44779, 4, 1470, 98071, 4852, 7369, 1751, 75230, 1211, 6319, 98071, 2865, 40096, 1470, 98071, 23405, 48904, 64213, 8903, 159696, 1211, 1470, 98071, 1211, 34076, 29259, 4944, 8903, 119718, 98071, 40920, 4838, 6235, 4484, 33809, 2865, 114436, 4, 3496, 64260, 3131, 7369, 37826, 125523, 6, 21106, 54260, 1211, 6235, 5666, 75230, 7511, 49597, 2882, 6235, 119718, 33809, 16803, 4, 36324, 95455, 235466, 9934, 98071, 4667, 4151, 36909, 33809, 1211, 4, 199145, 153585, 4269, 48904, 89930, 6, 129071, 98071, 159696, 207650, 506, 24244, 37826, 220273, 6, 68558, 153585, 163139, 49597, 46053, 10676, 6, 148346, 26612, 31249, 33809, 2702, 1751, 75230, 1211, 132025, 8903, 3111, 31467, 51723, 5, 123736, 148346, 6093, 874, 98071, 2882, 4852, 29259, 1211, 6, 148346, 26612, 119718, 33809, 16803, 4852, 29259, 1211, 37826, 1751, 75230, 1211, 1285, 14857, 98071, 7611, 6235, 36909, 98071, 21295, 4, 36324, 6319, 75230, 2050, 1470, 98071, 4852, 4151, 6, 148346, 26612, 31249, 33809, 2702, 171433, 8903, 3111, 31467, 51723, 6235, 119718, 29766, 1211, 4, 1470, 98071, 4852, 18583, 36909, 21106, 1211, 12, 18583, 6, 84577, 39340, 15388, 6, 128540, 9934, 98071, 4667, 1470, 98071, 4852, 1751, 75230, 1211, 2648, 29771, 6319, 29259, 1211, 6, 99766, 3523, 98071, 2882, 6235, 148346, 1644, 98071, 148346, 1211, 5, 37826, 7369, 9934, 98071, 4667, 132025, 8903, 3111, 31467, 51723, 874, 98071, 2882, 6, 84577, 31249, 120467, 114436, 2442, 33809, 98071, 4484, 29259, 2882, 4, 1470, 33809, 1211, 4, 163139, 49597, 1470, 115556, 4838, 6, 80453, 129071, 98071, 86733, 1470, 33809, 1211, 4838, 192183, 25616, 4113, 16932, 4, 1470, 98071, 4852, 7369, 119718, 29259, 16932, 6235, 240863, 12483, 1470, 98071, 1211, 10676, 6, 159696, 2932, 4, 119055, 33809, 506, 98071, 1211, 1285, 49597, 42572, 98071, 2702, 151614, 148346, 1211, 1470, 98071, 2050, 6, 128750, 98071, 6093, 6, 21106, 54260, 1211, 8903, 226112, 15388, 4, 657, 75230, 28320, 4838, 13982, 13159, 4, 199145, 1470, 98071, 4852, 6235, 159696, 1211, 132025, 8903, 119718, 98071, 56880, 1470, 98071, 1211, 7508, 40096, 59461, 2702, 9424, 29060, 109316, 5, 6, 101328, 4, 10676, 6, 159696, 2932, 874, 33809, 4852, 7369, 6428, 33809, 2442, 4944, 2932, 54260, 1211, 4, 1470, 33809, 1211, 4838, 83182, 3131, 42542, 1751, 75230, 1211, 81444, 3523, 98071, 2882, 4852, 29259, 1211, 4, 1470, 33809, 1211, 6319, 75230, 2050, 1470, 98071, 4852, 95455, 4838, 6, 148346, 26612, 31249, 120467, 65482 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 170355, 4667, 4, 1470, 98071, 4852, 199145, 1470, 98071, 4852, 81444, 1470, 98071, 148346, 6093, 98071, 4484, 8300, 33809, 46050, 49597, 51723, 10676, 117902, 7511, 49597, 2050, 874, 98071, 28320, 6235, 119718, 98071, 46053, 32, 193178, 1470, 98071, 148346, 6093, 98071, 39340, 132025, 128540, 1470, 98071, 4852, 2932, 29766, 7511, 49597, 2882, 6235, 147713, 1211, 1470, 98071, 1211, 1285, 49597, 14857, 98071, 26394, 2702, 3523, 40096, 33809, 2442, 5, 7369, 37826, 6, 119859, 129891, 3523, 33809, 2882, 6235, 119718, 33809, 16803, 4, 165592, 7369, 16175, 33809, 2882, 620, 91595, 5, 620, 91595, 1470, 98071, 4852, 3069, 31467, 6, 238144, 29171, 6235, 225975, 2882, 5, 7369, 6, 148346, 26612, 2932, 54260, 2882, 117902, 36326, 57277, 18583, 148346, 25207, 12984, 196991, 9934, 98071, 4667, 1470, 33809, 1211, 196991, 1285, 49597, 76961, 4, 199145, 194885, 1211, 6235, 119718, 29766, 1211, 194885, 4944, 26612, 238144, 2442, 98071, 2050, 4838, 6293, 4151, 6, 148346, 98071, 68959, 36326, 4, 123736, 148346, 6093, 6319, 75230, 2050, 1470, 98071, 4852, 1470, 98071, 2050, 36324, 75230, 6, 148346, 26612, 3131, 77188, 4, 36324, 153585, 159696, 2932, 170479, 190800, 2932, 54260, 1211, 37729, 4838, 3523, 98071, 2702, 29771, 710, 12483, 4, 3523, 54260, 2882, 7369, 1470, 98071, 2050, 2200, 133190, 5, 2200, 1470, 75230, 148346, 6, 101328, 27909, 30741, 54260, 1211, 10676, 6, 159696, 2932, 4, 1470, 98071, 4852, 6, 76776, 69106, 34076, 29259, 4667, 4, 199145, 7369, 37826, 1470, 98071, 2050, 1751, 75230, 1211, 42572, 33809, 5927, 98071, 198093, 5, 64260, 1470, 98071, 4852, 6, 57277, 39340, 1285, 49597, 6235, 148346, 29259, 20315, 42572, 33809, 1211, 4151, 42572, 26612, 148346, 2442, 98071, 4484, 4, 4838, 6293, 1470, 98071, 2442, 1285, 49597, 1751, 98071, 50853, 4, 2200, 123736, 96256, 98071, 4852, 4151, 16175, 75230, 6093, 5, 1470, 33809, 1211, 42572, 33809, 16747, 119273, 159696, 15388, 37826, 1470, 98071, 2050, 4838, 19302, 71577, 6235, 97634, 1211, 1470, 98071, 1211, 364, 23173, 64213, 64260, 95455, 1470, 98071, 4852, 8947, 6, 57277, 39340, 32, 95455, 6, 148346, 1644, 33809, 2882, 1470, 98071, 4852, 162726, 33809, 34709, 33809, 23405, 1470, 98071, 23405, 48904, 64213, 4838, 177282, 29771, 152656, 42572, 33809, 1211, 5442, 874, 5, 16175, 54260, 48253, 5, 159190, 4151, 42572, 26612, 13458, 98071, 4484, 5, 4, 418, 204403, 7511, 49597, 2050, 1470, 33809, 1211, 4, 7369, 37826, 4151, 36909, 98071, 21295, 4, 36324, 7369, 1470, 98071, 4852, 23050, 119718, 29766, 1211, 1751, 57277, 24152, 6, 148346, 1644, 59929, 5, 1470, 33809, 1211, 7511, 2882, 4, 199145, 1470, 98071, 2050, 1470, 98071, 4852, 162726, 33809, 34709, 33809, 23405, 1470, 29259, 5666, 8903, 36909, 21106, 1211, 5, 4838, 6, 128750, 98071, 86733, 6235, 94741, 20260, 1470, 98071, 1211, 6319, 137377, 5, 37271, 36909, 33809, 16747, 119273, 159696, 15388, 2451, 2808, 98071, 4852, 6235, 159696, 1211, 4151, 23050, 48775, 20260, 2451, 2882, 33809, 2882, 7369, 3523, 98071, 2882, 3523, 33809, 2050, 4, 199145, 7369, 5666, 54260, 2882, 207748, 8300, 33809, 101470, 6, 170355, 12984, 1470, 98071, 1211, 17190, 148346, 1211, 1470, 98071, 23405, 48904, 64213, 3523, 98071, 2882, 6319, 29259, 1211, 3523, 65482, 2702, 114436, 27, 4838, 1982, 35596, 3131, 4838, 364, 33809, 23405, 6093, 98071, 75290 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42542, 6319, 54260, 5666, 2865, 39083, 3523, 98071, 2050, 151614, 148346, 1211, 6319, 29259, 1211, 19302, 29766, 1211, 6319, 137377, 4838, 6293, 1285, 49597, 22426, 1644, 54260, 26394, 2702, 1470, 33809, 1211, 76961, 874, 39083, 42542, 7369, 5332, 109636, 2050, 132025, 22426, 1644, 171433, 16932, 1211, 4, 1470, 98071, 148346, 150839, 75230, 22426, 2882, 4, 119055, 12483, 1285, 49597, 36909, 26612, 148346, 2442, 98071, 4484, 1470, 98071, 4852, 81444, 133190, 4838, 6, 80453, 98071, 119718, 174121, 4, 1470, 33809, 1211, 119055, 6093, 6, 238144, 16803, 4, 199145, 18583, 4838, 10498, 33809, 13159, 1470, 98071, 2050, 165354, 81444, 1470, 75230, 95564, 33809, 51723, 3069, 31467, 42572, 98071, 61621, 27, 6319, 54260, 5666, 2865, 39083, 6, 205416, 18225, 36324, 75230, 3523, 98071, 2882, 160204, 4, 6319, 54260, 5666, 2865, 39083, 7511, 49597, 2882, 27, 1470, 33809, 1211, 120202, 105235, 116604, 98071, 4484, 9934, 98071, 4667, 4838, 119718, 29259, 28726, 4, 6319, 16870, 54260, 6428, 33809, 2442, 4944, 8300, 33809, 236376, 1211, 10676, 23050, 5, 94741, 20260, 6, 148346, 98071, 56880, 151614, 6293, 4, 1470, 98071, 4852, 7369, 4151, 238144, 165607, 3069, 31467, 2442, 98071, 4484, 6235, 4484, 33809, 51723, 3069, 31467, 9934, 98071, 4667, 4, 1470, 33809, 1211, 6319, 33809, 4484, 16747, 98071, 78683, 506, 98071, 1211, 1470, 33809, 1211, 4838, 506, 6093, 4, 36324, 75230, 163139, 4838, 6, 137218, 23269, 119718, 4, 199145, 163139, 49597, 1644, 81444, 5332, 109636, 2050, 120202, 97634, 1211, 4838, 3131, 141943, 192956, 6, 170355, 4667, 1470, 33809, 1211, 7369, 9424, 98071, 16932, 2882, 4, 36324, 6, 238144, 29171, 16803, 16667, 170479, 1211, 1470, 98071, 2050, 6319, 29259, 1211, 6, 148346, 233364, 194734, 41764, 76632, 49597, 46685, 3523, 98071, 2882, 4151, 104149, 4, 1470, 33809, 1211, 6, 236376, 16747, 98071, 4484, 1751, 75230, 1211, 1470, 98071, 23405, 48904, 64213, 14856, 4944, 48904, 98071, 83957, 33809, 1211, 133190, 7511, 49597, 2882, 42572, 98071, 116604, 98071, 4484, 1285, 49597, 6, 148346, 93704, 29259, 2882, 23405, 42572, 33809, 1211, 1285, 49597, 119055, 6093, 16932, 4, 199145, 7369, 37826, 9934, 98071, 4667, 21106, 54260, 1211, 23050, 1982, 165592, 77188, 12, 137, 4484, 54260, 5666, 2865, 39083, 6, 205416, 18225, 36324, 75230, 3523, 98071, 2882, 160204, 4, 6319, 54260, 5666, 2865, 39083, 3523, 98071, 2882, 2004, 506, 64260, 7369, 9934, 98071, 4667, 9915, 13845, 6, 23173, 29259, 5666, 8903, 4944, 71577, 2882, 1470, 98071, 1211, 16175, 75230, 6093, 42572, 33809, 1211, 42572, 26612, 148346, 2442, 98071, 4484, 5, 2648, 29771, 37826, 7369, 9934, 98071, 4667, 120202, 23269, 105235, 21295, 4838, 119718, 29259, 28726, 4, 7369, 37826, 9934, 98071, 4667, 6, 23173, 137377, 23269, 119718, 98071, 29659, 25207, 2050, 1751, 238144, 2702, 42572, 33809, 66293, 43649, 53414, 1470, 33809, 1211, 364, 59929, 2882, 98071, 4484, 37826, 7369, 6, 47351, 5332, 152656, 6235, 97634, 1211, 7508, 98071, 16175, 98071, 2442, 36909, 33809, 1211, 213909, 205416, 2451, 119718, 98071, 1470, 98071, 2050, 37826, 9934, 98071, 4667, 6235, 94741, 40920, 4, 1470, 98071, 23405, 48904, 64213, 4838, 6, 148346, 23173, 33809, 98071, 4484, 16932, 5, 2451, 1285, 49597, 14857, 98071, 7611, 1470, 98071, 4852, 6, 23173, 29259, 1211, 1470, 98071, 1211, 4838, 3523, 29259, 46598, 6, 29060, 71577 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 42572, 33809, 1211, 153585, 17190, 148346, 1211, 5, 6, 128750, 98071, 6093, 1470, 98071, 4852, 8903, 159696, 1211, 5332, 22426, 13159, 4838, 83182, 3131, 5, 4484, 71577, 98071, 21338, 9424, 238144, 5, 148346, 6093, 1644, 1285, 49597, 2050, 3131, 98071, 7611, 37826, 6235, 23173, 148346, 29060, 1470, 98071, 1211, 6, 148346, 2442, 33809, 7511, 49597, 59461, 1470, 33809, 710, 48350, 2648, 5, 1470, 54260, 7511, 21106, 6319, 33809, 2865, 188301, 4838, 506, 54260, 2050, 42572, 33809, 1211, 4838, 6319, 33809, 29025, 6093, 173102, 183512, 98071, 2442, 33809, 23405, 1470, 98071, 148346, 6093, 6428, 12, 43649, 29060, 44779, 2205, 35189, 36909, 6093, 4, 37826, 7369, 6235, 36909, 33809, 49008, 2451, 4852, 29259, 1211, 9424, 98071, 46685, 1470, 98071, 4852, 18583, 105235, 21295, 874, 98071, 2882, 4838, 6, 240863, 5666, 29259, 4113, 14856, 148346, 1644, 5, 1751, 75230, 1211, 37826, 9934, 12, 9934, 98071, 4667, 6, 150349, 48775, 159696, 2882, 2451, 506, 64260, 7369, 874, 98071, 2882, 101251, 171433, 8903, 119132, 28726, 4944, 4484, 29259, 2882, 4838, 6, 236376, 6235, 97634, 1211, 6, 159696, 15388, 6, 90848, 104149, 5, 6, 90848, 104149, 37826, 7369, 1470, 75230, 4667, 6235, 186145, 152656, 2808, 98071, 1211, 9424, 98071, 46685, 5, 1470, 98071, 4852, 6, 57277, 39340, 4269, 33809, 2882, 6235, 159696, 1211, 4, 199145, 7369, 37826, 9934, 98071, 6235, 226112, 152656, 5, 2451, 199145, 1470, 98071, 4852, 95455, 18583, 4838, 22518, 29259, 148346, 2882, 98071, 3131, 32, 2451, 506, 64260, 6235, 128750, 4113, 98833, 1285, 49597, 14857, 98071, 7611, 32, 2451, 95455, 1470, 98071, 4852, 18583, 1285, 49597, 2442, 4838, 22518, 29259, 148346, 2882, 98071, 3131, 2451, 506, 64260, 6, 90848, 39293, 6235, 225975, 2882, 4838, 3069, 31467, 128750, 98071, 2648, 65482, 2451, 2648, 33809, 6319, 172398, 2882, 28415, 3523, 98071, 2882, 9934, 98071, 64213, 6, 148346, 26612, 4838, 16175, 98071, 31249, 874, 98071, 2882, 1470, 75230, 2702, 8903, 148346, 90848, 4944, 65482, 36909, 98071, 2702, 44779, 4, 199145, 2181, 1470, 98071, 4852, 4838, 3496, 23173, 109636, 18583, 4838, 9934, 29259, 2882, 98071, 38249, 14856, 110970, 1211, 5, 36324, 37922, 98071, 89930, 4269, 54260, 2882, 23173, 29259, 1211, 5, 2451, 1470, 33809, 1211, 199145, 6, 148346, 40096, 29259, 28320, 76961, 1470, 98071, 148346, 6093, 98071, 39340, 6, 170355, 12984, 4, 199145, 6428, 33809, 151614, 16803, 6, 98071, 2882, 8903, 4852, 95494, 28726, 159696, 2882, 132025, 8300, 33809, 128540, 36324, 75230, 6235, 2648, 98071, 40920, 1470, 98071, 1211, 1470, 33809, 16747, 168155, 19302, 54260, 119132, 9424, 98071, 46685, 32, 2451, 1470, 33809, 112304, 98071, 16803, 874, 54260, 16667, 2882, 33809, 36324, 75230, 2451, 506, 64260, 6, 90848, 39293, 6235, 80453, 33809, 119718, 2882, 657, 29259, 40920, 6, 148346, 21106, 54260, 2648, 98071, 38249, 4852, 98071, 4667, 2451, 64260, 42542, 1470, 98071, 4667, 1285, 49597, 2442, 1470, 75230, 2702, 25207, 4944, 171428, 4838, 6293, 1285, 49597, 42572, 98071, 23405, 6093, 4, 119055, 119273, 33809, 6, 104149, 4, 36324, 2648, 29771, 1470, 98071, 4852, 6319, 29259, 1211, 1470, 54260, 1211, 1470, 98071, 148346, 6093, 98071, 39340, 6, 170355, 4667, 3523, 98071, 2882, 18583, 17537, 4, 133190, 1285, 49597, 193042, 24621, 3523, 75230, 2882, 98071, 13805, 18415, 170355, 12984, 5950, 38249 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5, 6, 64260, 6, 148346, 23173, 4113, 12984, 12, 1470, 98071, 4667, 6, 94741, 63020, 151614, 148346, 1211, 4838, 16175, 33809, 21106, 29060, 2882, 98071, 31249, 4, 119055, 33809, 4838, 159696, 4484, 5, 8300, 33809, 1644, 54260, 15388, 874, 29259, 23269, 6, 170355, 12984, 84475, 3523, 98071, 2882, 32, 9934, 171433, 6, 21106, 54260, 1211, 5, 1470, 33809, 1211, 4838, 6319, 33809, 3131, 29060, 39340, 4838, 6293, 3069, 31467, 8300, 33809, 5, 3131, 22426, 23173, 1211, 9934, 98071, 4667, 6, 148346, 40096, 29771, 2932, 6, 94741, 63020, 1470, 98071, 4667, 151614, 148346, 1211, 32, 2451, 4269, 33809, 2882, 4, 6, 90848, 39293, 4, 4269, 33809, 2882, 4, 6428, 33809, 6428, 23173, 36909, 16803, 6, 21106, 7611, 151614, 148346, 1211, 5, 1470, 98071, 4667, 55242, 1751, 75230, 1211, 12, 4838, 46711, 33809, 87311, 3131, 22426, 98071, 21847, 4, 4838, 1751, 48775, 20260, 4, 3523, 98071, 21733, 23269, 6, 148346, 213783, 4, 6, 21106, 7611, 6, 170355, 12984, 4, 199145, 14856, 42542, 6, 68558, 220224, 3523, 98071, 2882, 28726, 148346, 1211, 5, 123736, 148346, 6093, 1470, 98071, 1211, 1470, 33809, 16747, 168155, 9424, 98071, 46685, 6, 159696, 67873, 874, 98071, 2442, 4151, 29659, 98071, 20911, 119055, 53414, 874, 98071, 2882, 220224, 5, 2451, 123736, 2050, 6, 159696, 15388, 10676, 151614, 148346, 1470, 98071, 4667, 6, 57277, 39340, 874, 98071, 2882, 1285, 49597, 2442, 6235, 119718, 39083, 2882, 7508, 54260, 35465, 2451, 2808, 98071, 4852, 8300, 33809, 128750, 98071, 35465, 6235, 159696, 1211, 6, 90848, 39293, 4, 199145, 9934, 98071, 42542, 81444, 1470, 75230, 35044, 54260, 15388, 18583, 1470, 98071, 2050, 1470, 98071, 25207, 162726, 114436, 2451, 119718, 98071, 6, 71804, 23405, 4, 874, 54260, 16667, 2882, 33809, 4, 51678, 874, 98071, 2442, 125523, 119055, 29771, 710, 49008, 6, 64260, 1470, 98071, 1211, 10676, 9424, 98071, 112388, 31467, 26612, 874, 29259, 1211, 6, 57277, 28320, 32, 6428, 33809, 18583, 29659, 54260, 16803, 6, 21106, 54260, 1211, 4, 36324, 874, 98071, 2442, 51678, 81444, 28415, 3523, 98071, 2882, 119718, 29771, 710, 49008, 5, 1470, 98071, 4852, 6319, 39083, 4852, 212915, 874, 98071, 2442, 151614, 148346, 1211, 3523, 98071, 2882, 6235, 506, 40096, 6319, 29259, 1211, 14856, 148346, 1644, 4, 37826, 18225, 3523, 98071, 2882, 8903, 4484, 35596, 6, 236376, 1211, 5, 1470, 98071, 56169, 6428, 23173, 36909, 16803, 33809, 6, 104149, 3069, 31467, 46050, 49597, 15388, 4838, 198754, 4113, 1285, 49597, 25207, 2451, 2648, 33809, 2442, 12984, 2947, 2808, 33809, 88660, 2050, 4, 9424, 98071, 4838, 6293, 6, 47351, 4838, 83182, 1470, 75230, 152656, 5, 4151, 238144, 165607, 42542, 18225, 6, 90848, 4667, 3069, 31467, 1470, 33809, 16747, 4852, 4838, 36909, 98071, 1644, 37016, 54260, 119132, 3523, 98071, 2882, 18583, 148346, 213783, 5, 2451, 3523, 98071, 2882, 4269, 33809, 2882, 4, 6, 90848, 39293, 4, 2451, 506, 64260, 1285, 49597, 14857, 98071, 7611, 74806, 218241, 21295, 874, 98071, 28320, 6319, 137377, 1470, 33809, 1211, 153585, 2808, 75230, 49268, 2442, 98071, 4484, 4838, 152656, 117902, 7511, 49597, 2050, 1470, 98071, 4852, 6235, 159696, 1211, 220224, 6093, 6, 47351, 7369, 16667, 16932, 12, 2451, 8300, 29259, 2882, 7508, 33809, 364, 120467, 57277, 159696, 4484, 8903, 119718, 29766, 152656 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1285, 49597, 43649, 109316, 4, 8248, 31467, 4944, 16803, 33809, 9934, 98071, 4667, 3069, 31467, 6, 17645, 35465, 874, 39083, 6, 21106, 7611, 3523, 29259, 4113, 1470, 33809, 159212, 33809, 12483, 4, 2648, 98071, 6, 23173, 148346, 29060, 6428, 29259, 23269, 1285, 49597, 1470, 98071, 56169, 98071, 39340, 4, 6, 225975, 1470, 98071, 4667, 1285, 49597, 2442, 4, 1470, 98071, 4852, 3523, 98071, 2882, 6319, 29259, 1211, 6, 94741, 20260, 148346, 23173, 4113, 5, 2442, 33809, 874, 54260, 16667, 2882, 4, 1470, 98071, 4667, 42542, 3523, 54260, 1211, 4838, 6293, 10676, 6, 159696, 2932, 32, 2451, 6, 33809, 7508, 6093, 16803, 4, 163139, 49597, 4838, 6319, 98071, 16747, 2451, 506, 64260, 6235, 225975, 2882, 6, 90848, 39293, 6, 238144, 4667, 4, 123736, 148346, 6093, 1470, 98071, 23405, 48904, 64213, 1470, 98071, 2050, 32887, 119718, 40096, 1644, 67882, 30741, 2648, 98071, 4484, 2451, 119718, 98071, 9934, 36326, 54745, 1211, 170479, 18225, 17190, 148346, 1211, 32, 4269, 98071, 148346, 4, 4838, 35189, 26612, 148346, 4113, 4, 4838, 6319, 33809, 4484, 4, 163139, 49597, 221895, 224220, 33809, 7511, 49597, 119364, 17190, 148346, 1211, 5, 1470, 33809, 1211, 6428, 29259, 1211, 119055, 29766, 29771, 113889, 119718, 1470, 98071, 4852, 54745, 1211, 26612, 364, 54260, 1644, 98071, 75290, 32, 153585, 119055, 29259, 148346, 4269, 54260, 2882, 132025, 8903, 97634, 1211, 1751, 114436, 42572, 33809, 1211, 874, 98071, 2442, 4, 1470, 33809, 1211, 3069, 31467, 220224, 23173, 29259, 57619, 33809, 2932, 54260, 1211, 1470, 98071, 4852, 1470, 54260, 4667, 220224, 6093, 132025, 105235, 16747, 98071, 4484, 5, 1470, 98071, 56169, 1470, 98071, 4852, 1751, 75230, 1211, 215031, 9424, 29259, 2882, 4, 215031, 83182, 3131, 42542, 18225, 3523, 98071, 2882, 5, 2648, 98071, 14857, 98071, 7611, 37826, 3523, 98071, 2882, 6235, 35596, 36909, 77188, 5, 7369, 564, 98071, 2882, 6, 90848, 104149, 194885, 1211, 9424, 238144, 6, 119859, 69106, 36909, 23173, 3131, 54260, 2648, 65482, 115374, 5, 81444, 194885, 1211, 1470, 98071, 2050, 28415, 6319, 54260, 23269, 1470, 98071, 1644, 33809, 4852, 98071, 13159, 3523, 98071, 2882, 6235, 148346, 1644, 98071, 148346, 1211, 5, 2808, 33809, 1211, 81444, 4667, 37826, 95455, 364, 23173, 7611, 6, 61397, 46598, 5332, 22426, 13159, 4838, 83182, 3131, 5, 207748, 2882, 37826, 1470, 98071, 2050, 90848, 39293, 6, 148346, 26612, 506, 6093, 29659, 874, 98071, 2882, 6235, 119718, 98071, 36419, 67882, 15350, 13159, 1470, 98071, 25207, 4, 199145, 7369, 6, 21106, 54260, 1211, 37826, 9934, 98071, 4667, 2808, 98071, 1211, 220224, 3523, 98071, 2882, 6235, 119718, 39083, 2882, 1470, 33809, 1211, 5332, 36909, 59461, 1470, 75230, 4667, 3523, 98071, 2882, 241997, 36324, 75230, 6235, 5666, 75230, 42572, 208048, 83182, 5, 21733, 29259, 148346, 1211, 5, 1470, 98071, 4852, 95455, 6235, 159696, 1211, 1470, 98071, 2442, 3523, 54260, 20260, 29259, 2882, 4, 1470, 98071, 2442, 4231, 33809, 23405, 4484, 29259, 2882, 4, 1470, 98071, 2442, 1470, 98071, 148346, 6093, 8903, 8903, 148346, 1211, 4484, 29259, 2882, 4, 199145, 37826, 1470, 98071, 2050, 6235, 148346, 33809, 16747, 1211, 3069, 31467, 1470, 98071, 2442, 32, 4838, 6293, 1470, 98071, 2442, 43649, 54260, 61397, 1470, 98071, 4852, 6, 90848, 39293, 2808, 98071, 2050, 6235, 159696, 1211, 1751, 57277 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 24152, 1470, 98071, 148346, 6093, 8903, 8903, 148346, 1211, 4, 1470, 33809, 1211, 95455, 4, 199145, 9934, 98071, 37826, 1470, 98071, 2050, 6, 23173, 33809, 2050, 61397, 98071, 23405, 21295, 874, 98071, 2882, 9934, 29766, 5666, 36909, 13845, 2882, 98071, 75290, 364, 54260, 2050, 98071, 38596, 29259, 2882, 4, 1470, 98071, 4852, 220273, 3523, 98071, 2882, 6235, 159696, 1211, 6319, 29259, 1211, 21733, 54260, 29171, 29259, 2882, 35830, 3069, 31467, 6, 148346, 26612, 119718, 98071, 24152, 1211, 4838, 115374, 3523, 98071, 2882, 6319, 29259, 1211, 4231, 33809, 23405, 1211, 3523, 98071, 2882, 1470, 98071, 1211, 4269, 48904, 64213, 4484, 29259, 1211, 6235, 4852, 33809, 198093, 4, 199145, 37826, 4151, 8300, 33809, 42572, 33809, 1211, 1285, 49597, 4231, 33809, 5666, 8903, 6, 101328, 61621, 47833, 6235, 119718, 33809, 16803, 133190, 42572, 33809, 1211, 26612, 1751, 159696, 25207, 6, 76776, 159696, 76776, 2648, 28726, 148346, 1211, 5, 28415, 6093, 38, 6, 148346, 54260, 2050, 4151, 141879, 2442, 224220, 183512, 98071, 2442, 33809, 23405, 37826, 6093, 8248, 4667, 47833, 1470, 98071, 148346, 6093, 98071, 38249, 874, 39083, 1470, 98071, 148346, 6093, 8300, 29259, 98833, 4, 36324, 119055, 12483, 7369, 215594, 9934, 98071, 3523, 98071, 2882, 4, 18583, 23269, 16803, 7369, 6, 68558, 76961, 1470, 98071, 25207, 6, 107581, 49268, 75230, 23269, 2702, 4, 1470, 33809, 1211, 3069, 31467, 2442, 98071, 4484, 9424, 98071, 2882, 1470, 98071, 2050, 3069, 31467, 34482, 6, 92605, 75230, 4113, 4667, 4838, 42572, 13159, 16932, 1470, 33809, 1211, 4838, 9934, 98071, 104238, 6093, 5, 1470, 98071, 83182, 63593, 13159, 1211, 1470, 98071, 4852, 7369, 3069, 31467, 128750, 98071, 35465, 35189, 2865, 98071, 2882, 5, 123736, 148346, 6093, 6, 63188, 12483, 874, 39083, 3523, 33809, 56169, 9934, 98071, 1470, 75230, 2702, 153585, 1751, 119718, 26612, 4944, 4484, 29259, 2882, 3069, 31467, 1470, 98071, 2442, 18583, 10918, 49597, 67873, 4, 199145, 194885, 1211, 1470, 98071, 2050, 42572, 25207, 27105, 1470, 33809, 1211, 4151, 119718, 98071, 35189, 5, 199145, 16175, 75230, 2932, 95455, 32, 95455, 4, 238144, 7511, 49597, 152194, 16667, 4, 42542, 7369, 3523, 98071, 2882, 4151, 212484, 1211, 5, 123736, 148346, 6093, 6, 71804, 23405, 18583, 3131, 80453, 54260, 28320, 9934, 98071, 4667, 6, 159696, 15388, 165592, 13845, 107581, 6, 170355, 12984, 1470, 98071, 4852, 3523, 98071, 2882, 6235, 147713, 1211, 1470, 98071, 1211, 153585, 3523, 40096, 33809, 2442, 5, 7369, 37826, 133190, 4838, 42572, 25207, 2932, 8903, 97634, 1211, 12, 2451, 117578, 13159, 84577, 4, 119055, 33809, 23050, 2865, 16803, 33809, 182731, 4838, 4667, 21776, 2050, 76961, 51723, 32, 710, 1470, 98071, 4667, 6, 119132, 4838, 6293, 1470, 75230, 2702, 8300, 33809, 8300, 39083, 1211, 5, 2451, 119055, 6093, 46711, 75230, 2050, 124724, 32, 2451, 55242, 16803, 6, 90848, 4667, 4, 7508, 29259, 1211, 119055, 29259, 148346, 46711, 75230, 2882, 5332, 12483, 5, 4838, 18583, 84577, 119718, 101503, 28726, 12984, 60980, 203232, 33809, 7511, 49597, 2050, 2882, 46711, 75230, 2050, 18225, 5, 1549, 2451, 119055, 13845, 1470, 98071, 4667, 18583, 6, 21106, 7611, 4, 364, 54260, 16803, 95455, 235311, 9424, 39083, 1211, 32, 3069, 31467, 199145, 6, 94741, 63020, 2808, 98071, 4667, 9934, 98071, 4667, 6, 148346, 98071, 16747, 1211, 874 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 98071, 2882, 36324, 13845, 107581, 17824, 75230, 36419, 6, 151227, 23093, 98071, 2702, 51172, 175323, 159696, 46053, 32, 90848, 39293, 37826, 1470, 98071, 2050, 6, 148346, 23173, 33809, 98071, 20911, 12, 2451, 151614, 148346, 6319, 29259, 1211, 9934, 29766, 2932, 3523, 98071, 2050, 4, 6, 148346, 98071, 2702, 28726, 4944, 119718, 29259, 4852, 6, 159696, 67873, 874, 98071, 2442, 1470, 75230, 2702, 8300, 21106, 1211, 5, 2808, 33809, 1211, 6428, 47351, 37826, 9934, 98071, 4667, 1285, 49597, 14857, 98071, 7611, 4151, 87311, 13497, 2451, 2808, 98071, 1211, 1285, 49597, 364, 32829, 49597, 4484, 119718, 29771, 12984, 42572, 33809, 1211, 220224, 6093, 148346, 233364, 13497, 95494, 159212, 1470, 98071, 4852, 95455, 6235, 159696, 1211, 4, 2451, 2932, 54260, 12483, 220224, 1470, 54260, 5666, 2865, 39083, 1470, 98071, 1211, 4838, 6, 128750, 29259, 6093, 29566, 167351, 98071, 1211, 4269, 59929, 5, 6, 90848, 39293, 1470, 98071, 4852, 6235, 159696, 1211, 1470, 98071, 1211, 4838, 3523, 33809, 46685, 67826, 49597, 2865, 33809, 23405, 5, 4269, 54260, 12483, 220224, 1470, 33809, 1211, 220224, 101080, 31467, 13159, 1211, 5, 1470, 33809, 1211, 162726, 33809, 34709, 33809, 23405, 3523, 98071, 2882, 9934, 98071, 4667, 6, 90848, 39293, 4838, 6319, 33809, 4484, 6, 23173, 33809, 2050, 12, 137, 39293, 133190, 4, 119055, 33809, 874, 98071, 68959, 29259, 49008, 32, 6, 64260, 1470, 98071, 4852, 81444, 4667, 4151, 137, 4852, 183718, 2909, 2451, 6, 57277, 39340, 4151, 6, 170355, 2932, 2702, 2451, 506, 64260, 1285, 49597, 14857, 98071, 26, 1211, 4151, 104149, 1285, 49597, 1751, 98071, 50853, 4, 125523, 3523, 98071, 2050, 119718, 98071, 2702, 16747, 98071, 4484, 4, 199145, 18583, 4838, 29566, 175323, 4944, 13159, 95455, 37826, 3069, 31467, 220224, 6093, 10498, 33809, 13159, 5, 2451, 199145, 119055, 39083, 2882, 6235, 159696, 1211, 2451, 506, 64260, 6, 90848, 39293, 6235, 71804, 40920, 2451, 159696, 1211, 874, 98071, 2442, 3523, 54260, 12483, 6, 23173, 29259, 1211, 2808, 33809, 1211, 874, 98071, 2442, 18583, 25391, 29259, 148346, 1211, 9934, 98071, 4667, 32, 2451, 8947, 119055, 39083, 2882, 133190, 7511, 49597, 2882, 6235, 159696, 1211, 4, 6, 90848, 39293, 4, 8947, 119055, 39083, 2882, 6235, 159696, 1211, 18583, 25391, 98071, 148346, 1211, 9934, 98071, 4667, 5, 2451, 3523, 54260, 1211, 5666, 54260, 1211, 4, 6, 148346, 29766, 98071, 2050, 18583, 1285, 49597, 2442, 16175, 75230, 2932, 95455, 3523, 98071, 2882, 5, 3069, 31467, 199145, 6, 94741, 63020, 1470, 98071, 4667, 2648, 98071, 4667, 6, 148346, 98071, 16747, 1211, 32, 6319, 39083, 4852, 212915, 6428, 33809, 151614, 16803, 874, 98071, 2442, 657, 98071, 148346, 4, 1470, 98071, 4852, 4, 4838, 35189, 26612, 148346, 4113, 4, 1470, 33809, 1211, 4151, 113889, 4667, 27, 2451, 199145, 4151, 113889, 4667, 32, 2451, 2808, 98071, 4852, 1470, 33809, 36909, 46685, 4484, 235210, 6093, 6235, 119718, 29766, 1211, 1285, 49597, 14857, 98071, 7611, 5, 2451, 4151, 113889, 4667, 119055, 119273, 33809, 4838, 159696, 4484, 2932, 54260, 1211, 4, 874, 98071, 2882, 6, 159696, 51723, 6428, 33809, 119055, 119273, 6, 159696, 67873, 2205, 119718, 33809, 506, 98071, 1211, 6428, 33809, 119055, 119273, 6, 159696, 67873, 5, 2451, 6, 97634, 6319, 33809, 2050, 6, 57277, 39340, 6, 23173, 29259, 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 ]
[ 4, 1470, 75230, 148346, 36324, 75230, 2451, 506, 64260, 1285, 49597, 2702, 3131, 98071, 7611, 6235, 3111, 31467, 51723, 90848, 104149, 18583, 4151, 364, 84577, 1470, 33809, 1211, 7369, 37826, 9934, 98071, 6, 23173, 29259, 5666, 8903, 36909, 98071, 33716, 18583, 25391, 29259, 148346, 1211, 9934, 98071, 4667, 5, 119718, 120467, 37826, 1470, 98071, 2442, 4151, 2865, 98071, 2882, 1285, 49597, 14857, 98071, 7611, 6235, 119718, 39083, 2882, 4151, 119718, 29259, 56880, 32, 6150, 4, 7369, 29659, 16667, 4, 2808, 98071, 4852, 7369, 3523, 98071, 2882, 4151, 115556, 4, 199145, 364, 29259, 13497, 119055, 29060, 7369, 9934, 98071, 4667, 3069, 31467, 5666, 75230, 36909, 2932, 54260, 1211, 874, 98071, 2882, 1470, 128750, 75230, 4, 1470, 33809, 1211, 874, 29766, 15388, 119055, 29060, 7369, 9934, 98071, 4838, 159696, 4484, 119718, 23173, 152656, 4, 1470, 33809, 1211, 4, 9424, 238144, 2882, 16667, 4, 37826, 7369, 9934, 98071, 57277, 39340, 657, 98071, 148346, 5, 1470, 33809, 1211, 95455, 1470, 98071, 4852, 4151, 98071, 75290, 4, 7369, 37826, 9934, 98071, 1470, 98071, 8300, 16932, 1470, 75230, 4667, 657, 98071, 148346, 4, 874, 98071, 57277, 28726, 1470, 98071, 25207, 6, 107581, 49268, 75230, 23269, 2702, 4, 1470, 33809, 1211, 6, 84577, 225975, 1211, 9934, 98071, 4667, 42572, 33809, 1211, 1470, 98071, 2442, 6, 236376, 7369, 3523, 98071, 2882, 5, 123736, 148346, 6093, 2648, 98071, 6, 107581, 49268, 75230, 23269, 2702, 119055, 53414, 54745, 1211, 19302, 114436, 4151, 36909, 33809, 1211, 32, 29771, 148346, 6093, 199145, 6235, 159696, 1211, 2451, 2808, 98071, 4852, 6235, 159696, 1211, 5, 1470, 98071, 56169, 6, 94741, 63020, 7369, 9934, 98071, 4667, 17824, 54260, 28320, 3069, 31467, 2050, 148346, 23173, 98071, 40920, 6, 159696, 15388, 153585, 7508, 29259, 39293, 5, 123736, 148346, 6093, 1470, 98071, 1211, 4151, 874, 98071, 3111, 31467, 2882, 1470, 98071, 4852, 1470, 98071, 2050, 6, 2050, 98071, 57277, 2050, 29771, 23829, 98071, 23405, 48904, 64213, 19302, 29766, 6235, 119718, 29766, 1211, 12, 4838, 159696, 4484, 36909, 29766, 1211, 42572, 33809, 16747, 48904, 12483, 874, 33809, 4852, 7369, 5, 7369, 874, 33809, 4852, 4838, 6293, 26612, 7508, 93704, 98071, 78683, 67873, 1470, 75230, 152656, 6, 192539, 1211, 153585, 17190, 148346, 1211, 5, 6, 23173, 75230, 2702, 3131, 203749, 1211, 6, 148346, 26612, 1470, 98071, 2442, 15, 2808, 33809, 1211, 1470, 75230, 4667, 6, 148346, 165592, 98071, 4667, 16, 10676, 6, 148346, 142429, 1211, 4, 199145, 67882, 40920, 874, 43178, 44779, 1470, 33809, 1211, 145813, 29259, 4852, 2882, 10676, 29434, 48904, 2932, 3069, 31467, 2050, 19302, 54260, 5666, 5, 148346, 98071, 2442, 61397, 28726, 12984, 17190, 148346, 1211, 5, 1470, 33809, 1211, 36324, 8947, 119055, 29060, 3523, 98071, 2882, 6, 148346, 1644, 29259, 148346, 1211, 6, 159696, 15388, 199145, 3069, 31467, 7508, 54260, 35465, 1470, 33809, 1211, 1470, 98071, 148346, 6093, 199145, 3069, 31467, 78891, 149364, 1211, 9934, 98071, 4667, 4, 119055, 29060, 6, 148346, 63593, 54260, 28726, 119055, 53414, 1470, 75230, 2050, 874, 98071, 2882, 76961, 54745, 148346, 40096, 1211, 98071, 42572, 48775, 8903, 1470, 98071, 4852, 133190, 4, 9424, 98071, 119055, 29766, 29771, 113889, 119718, 119055, 29060, 1470, 98071, 2050, 120202, 212484, 1211, 32, 1285, 49597, 16175, 33809, 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 ]
[ 194885, 1211, 81444, 2932, 21660, 54260, 1644, 18415, 6, 23173, 1285, 49597, 42572, 98071, 23405, 6093, 5, 37826, 7369, 9934, 98071, 4667, 6, 21106, 7611, 3523, 98071, 2050, 241997, 6, 148346, 26612, 31249, 98071, 46053, 4838, 6293, 26612, 657, 141847, 53414, 10498, 33809, 13159, 874, 98071, 2882, 119055, 29766, 29771, 22492, 119718, 1211, 4, 1470, 33809, 1211, 36324, 75230, 37826, 9934, 98071, 4667, 2181, 6235, 8300, 75230, 15388, 119055, 29771, 4667, 5, 2808, 75230, 2702, 1470, 33809, 1211, 119055, 29771, 4667, 2808, 29259, 1211, 5, 28415, 3069, 12483, 4151, 2865, 98071, 2882, 42542, 7369, 3523, 98071, 2882, 12, 23050, 3111, 31467, 5666, 38, 7369, 37826, 3117, 7511, 49597, 2882, 42572, 33809, 1211, 199145, 1470, 75230, 2702, 8300, 33809, 21733, 29259, 148346, 1211, 5, 42493, 6319, 29259, 1211, 6, 195054, 33809, 23405, 114436, 1470, 75230, 2702, 159696, 2932, 1470, 98071, 4852, 4838, 87311, 17410, 75230, 4667, 47833, 1470, 75230, 2702, 159696, 2932, 5, 1470, 33809, 1211, 42572, 33809, 1211, 10676, 43649, 183512, 22426, 33809, 185226, 1470, 98071, 4852, 220273, 5332, 36909, 16932, 34076, 29259, 104238, 4, 119718, 120467, 6, 90848, 39293, 37826, 9934, 98071, 4667, 1285, 49597, 141879, 874, 232187, 28320, 6150, 75230, 364, 59929, 46545, 18583, 3111, 31467, 51723, 4838, 6293, 2808, 98071, 2442, 42572, 98071, 2442, 5, 6, 212484, 6, 101470, 4838, 3373, 29771, 6293, 199145, 4269, 98071, 104238, 4, 1470, 98071, 56169, 1470, 98071, 4852, 4151, 8300, 33809, 4, 4838, 23269, 119718, 4, 1285, 49597, 8300, 29259, 2882, 4838, 4269, 98071, 16667, 2882, 98071, 39340, 5, 6, 148346, 21106, 2648, 119055, 53414, 6319, 21106, 17645, 1285, 49597, 6, 159696, 15388, 4, 28415, 207748, 1211, 1470, 98071, 1211, 1470, 33809, 710, 48350, 2648, 159696, 2882, 18225, 4151, 238144, 165607, 3523, 98071, 2882, 51678, 4, 1470, 98071, 56169, 119055, 29060, 1470, 98071, 2050, 153585, 17824, 98071, 23405, 4838, 159696, 4484, 8300, 33809, 36909, 29766, 1211, 5, 94741, 63020, 7369, 8248, 4667, 6, 57277, 39340, 3069, 31467, 23847, 54260, 28320, 3069, 31467, 2050, 6, 148346, 23173, 98071, 40920, 5, 163139, 49597, 36909, 1644, 6, 94741, 63020, 95455, 6, 148346, 26612, 1470, 98071, 2050, 137377, 101470, 32, 9424, 238144, 193012, 4, 17288, 4944, 16803, 16667, 29434, 29259, 5, 125523, 364, 29259, 13497, 32887, 50853, 29060, 7369, 119055, 29766, 29771, 710, 113889, 119718, 1211, 4, 36324, 42572, 33809, 54561, 29259, 23269, 2882, 159696, 49209, 42542, 7369, 1751, 75230, 1211, 6, 148346, 26612, 29659, 98071, 51723, 7508, 98071, 9934, 98071, 8300, 33809, 23405, 5, 2451, 6, 95494, 4, 6, 95494, 4, 67826, 49597, 44478, 4838, 148346, 98071, 35044, 4, 11265, 119055, 29060, 125523, 1470, 33809, 36909, 159696, 38249, 1285, 49597, 4231, 33809, 5666, 8903, 22426, 29766, 2451, 506, 64260, 9934, 98071, 4667, 1285, 49597, 6235, 159696, 4852, 65482, 1751, 75230, 4944, 29060, 39340, 3496, 48904, 20616, 76632, 4113, 6235, 148346, 54260, 4852, 77188, 4838, 6293, 2808, 98071, 2442, 6, 212915, 874, 98071, 28320, 8248, 31467, 1211, 4, 199145, 151614, 148346, 1211, 6235, 234221, 1470, 98071, 1211, 6, 148346, 25207, 183216, 9934, 98071, 4667, 1470, 98071, 1211, 6, 29766, 20315, 3111, 31467, 23405, 113889, 12984, 1470, 98071, 83182, 128750, 98071, 16870, 98071, 38249, 1470, 33809, 36909, 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 ]
[ 54260, 1211, 4, 1470, 33809, 1211, 151614, 148346, 1211, 6, 90848, 3069, 31467, 8903, 21733, 71577, 2882, 874, 98071, 2882, 1285, 49597, 137377, 8300, 59929, 1211, 1470, 98071, 148346, 53414, 117902, 1644, 6, 148346, 26612, 2050, 6, 23173, 33809, 36909, 10918, 49597, 12483, 1285, 49597, 67826, 49597, 119718, 1644, 4, 81444, 6235, 21733, 71577, 2882, 874, 98071, 2882, 35189, 6319, 119718, 99766, 6, 148346, 26612, 2050, 119055, 26612, 81829, 9934, 98071, 4667, 2451, 21106, 4113, 166464, 6, 48775, 63020, 18225, 1470, 29259, 4667, 4151, 87311, 49008, 5, 2451, 6428, 23173, 36909, 16803, 1470, 33809, 16747, 4852, 3523, 98071, 2882, 4151, 87311, 49008, 2451, 506, 64260, 23050, 4852, 29771, 13497, 4, 42572, 208048, 83182, 39340, 24621, 16747, 98071, 4484, 153585, 6, 148346, 2442, 54260, 18415, 6, 23173, 33809, 2865, 8903, 3131, 29766, 65482, 6, 148346, 29766, 2648, 4, 4151, 43649, 13845, 36909, 23173, 186145, 16932, 36909, 2884, 207748, 4852, 98071, 89930, 42572, 33809, 1211, 6, 148346, 2442, 33809, 7511, 49597, 59461, 6, 212394, 119718, 98071, 33716, 88660, 137377, 41764, 54260, 36419, 4667, 7508, 33809, 1982, 98071, 87311, 119718, 98071, 48253, 2451, 2865, 98071, 2442, 6, 238144, 46053, 6, 21106, 54260, 1211, 5, 1982, 48904, 20616, 76632, 49597, 4113, 15, 2808, 98071, 83182, 29659, 98071, 1644, 2077, 5332, 22426, 13159, 1470, 98071, 4852, 6, 148346, 26612, 220224, 3523, 91595, 1211, 6, 148346, 208048, 47332, 8903, 159696, 1211, 4838, 6, 56914, 36909, 6093, 10498, 33809, 13159, 4, 151614, 148346, 1470, 98071, 4667, 221387, 4, 95455, 364, 23173, 710, 1470, 98071, 4852, 564, 98071, 2442, 3523, 98071, 23822, 33809, 98071, 4484, 5, 119055, 6093, 6, 238144, 16803, 220224, 27, 36324, 13845, 107581, 115374, 5, 5, 22426, 54260, 36419, 4667, 12, 199145, 4, 115374, 27, 76961, 115374, 194885, 1211, 4838, 6293, 1470, 54260, 1211, 43649, 54260, 61397, 5, 159696, 1644, 119718, 1644, 15, 35189, 8248, 31467, 1211, 2077, 1470, 98071, 1211, 119055, 174121, 37826, 1470, 98071, 2442, 1470, 98071, 2050, 6, 148346, 93704, 23173, 159212, 2808, 29259, 5666, 119718, 98071, 21733, 12483, 2451, 64260, 199145, 1470, 98071, 4667, 119055, 39083, 2882, 1470, 29259, 4667, 6235, 225975, 2882, 5, 6235, 4484, 119718, 71577, 29060, 9934, 98071, 4667, 35830, 26612, 224220, 33809, 7511, 49597, 16803, 5, 42572, 25207, 2932, 4, 199145, 37826, 1470, 98071, 2442, 42572, 33809, 1211, 1470, 98071, 2050, 32, 1982, 48904, 20616, 76632, 4113, 12, 3523, 33809, 3111, 31467, 4, 6235, 3111, 31467, 2932, 1751, 75230, 1211, 4, 6235, 3111, 31467, 2932, 5, 7369, 42542, 125523, 4151, 506, 53414, 5, 159696, 1644, 119718, 1644, 12, 7369, 42542, 3523, 98071, 2882, 4151, 506, 53414, 5, 3523, 98071, 97634, 1470, 98071, 2050, 1751, 75230, 1211, 1470, 98071, 83182, 506, 54260, 2050, 5, 1470, 98071, 4667, 506, 29771, 148346, 6235, 104149, 6428, 33809, 2442, 12984, 42572, 4113, 57619, 16932, 4, 7369, 1470, 98071, 4852, 4838, 159696, 4484, 8903, 240863, 12483, 5, 48775, 23269, 506, 76632, 4113, 12, 6, 94741, 63020, 9934, 98071, 4667, 6, 90848, 39293, 1470, 75230, 2702, 31249, 29771, 152656, 5, 9934, 98071, 37826, 3523, 98071, 2882, 199145, 8300, 33809, 160204, 4, 170479, 9934, 98071, 9934, 98071, 4667, 6, 238144, 7511, 49597, 152194, 16667, 3523, 33809, 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 ]
[ 1470, 75230, 2702, 31249, 29771, 152656, 5, 159696, 1644, 119718, 1644, 12, 119055, 6093, 6, 212484, 2882, 1470, 98071, 2442, 3523, 98071, 2882, 32, 170479, 9934, 98071, 620, 26612, 152656, 38, 22426, 54260, 36419, 4667, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 15, 148346, 92605, 33809, 4484, 16747, 98071, 4484, 95455, 6, 159696, 177282, 4, 119055, 59929, 506, 64260, 120202, 8903, 2882, 54260, 21295, 42572, 33809, 1211, 43649, 33809, 148346, 95455, 9424, 98071, 46685, 42572, 33809, 1211, 1285, 49597, 3496, 59929, 65482, 23269, 506, 174121, 2077, 36909, 33809, 16747, 119273, 159696, 15388, 6, 94741, 63020, 18225, 81444, 5332, 22426, 13159, 3069, 31467, 236376, 1211, 874, 98071, 2882, 199145, 3069, 31467, 18583, 128540, 5, 10918, 49597, 5332, 36909, 86733, 4838, 6319, 71577, 98071, 2882, 21106, 23269, 119055, 84577, 4838, 159696, 4484, 128540, 32, 159696, 1644, 119718, 1644, 12, 151614, 16803, 1751, 75230, 1211, 3523, 98071, 2882, 4, 119055, 33809, 4838, 506, 98071, 57619, 33809, 97634, 1211, 6319, 29259, 1211, 182731, 32, 22426, 54260, 36419, 4667, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 12, 3523, 33809, 4, 4269, 33809, 2882, 5, 95455, 6, 159696, 67873, 874, 98071, 2442, 125523, 6, 104149, 4015, 22426, 54260, 36419, 4667, 37826, 9934, 98071, 4667, 6235, 2808, 29259, 21295, 4, 17190, 88660, 159696, 2648, 41764, 33809, 2442, 98071, 2050, 1470, 98071, 4852, 18225, 9934, 98071, 4667, 3523, 91595, 1211, 36909, 23173, 39293, 46053, 4838, 148346, 98071, 2702, 13845, 1751, 109636, 16932, 1470, 33809, 1211, 14856, 37826, 1470, 75230, 4667, 6235, 3111, 31467, 51723, 47833, 1470, 98071, 148346, 6093, 98071, 39340, 148346, 98071, 35044, 6, 148346, 2442, 48904, 152656, 4, 37826, 18225, 9934, 98071, 4667, 117902, 3131, 29060, 18583, 31249, 29771, 152656, 5, 123736, 148346, 6093, 18583, 1211, 4838, 159696, 4484, 2932, 54260, 1211, 2808, 98071, 1211, 3523, 59929, 6, 23173, 29259, 1211, 37826, 7369, 125523, 6235, 506, 40096, 4838, 19302, 54260, 7511, 49597, 4484, 29259, 2882, 3069, 31467, 18583, 4852, 29766, 15388, 1470, 98071, 5666, 5, 35189, 506, 54260, 2050, 12, 2451, 6, 64260, 199145, 4, 119055, 13845, 119718, 1644, 4, 81444, 151614, 148346, 1470, 98071, 4667, 3069, 31467, 8903, 236376, 4838, 6, 212484, 33809, 23405, 3069, 31467, 4852, 54260, 6093, 6, 101328, 194734, 119718, 2451, 37271, 2648, 98071, 6, 88660, 137377, 6093, 26612, 10918, 49597, 4113, 1470, 98071, 4852, 4151, 6, 159696, 2932, 69872, 6428, 33809, 55242, 16803, 32, 1470, 98071, 1211, 8300, 238144, 193012, 6, 23173, 33809, 2050, 1470, 98071, 4852, 4838, 6, 101328, 194734, 119718, 220224, 6093, 6093, 4, 874, 98071, 2882, 1285, 49597, 119055, 29259, 148346, 6093, 4838, 67882, 710, 36419, 2451, 4852, 39083, 16803, 33809, 1470, 98071, 2050, 132025, 186565, 49597, 61621, 5, 1285, 49597, 1751, 97634, 6293, 1470, 98071, 4852, 1751, 75230, 1211, 132025, 8903, 23847, 54260, 2882, 6, 148346, 26612, 874, 98071, 2442, 4838, 152656, 16175, 98071, 3131, 5, 4852, 39083, 18225, 3523, 98071, 2882, 6, 225975, 1211, 4, 36324, 1285, 49597, 6, 88660, 137377, 6093, 26612, 10918, 49597, 4113, 43649, 54260, 2882, 120202, 42572, 33809, 1211, 1285, 49597, 221895, 29766, 5666, 48904, 98071, 170355, 10918, 49597, 13159, 5, 2451, 3523, 33809, 2882, 2451, 506, 64260, 119055, 13845, 119718, 1644 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 23173, 29259, 23405, 13845, 54260, 98833, 1470, 98071, 1211, 119055, 119273, 39340, 3131, 65482, 95455, 4151, 143409, 18415, 9424, 29060, 109316, 5, 2451, 6, 148346, 21106, 2648, 119055, 13845, 1470, 98071, 4667, 95455, 132025, 186565, 49597, 61621, 5, 2451, 1470, 33809, 1211, 3069, 31467, 1285, 49597, 2442, 1470, 75230, 4667, 4838, 67826, 49597, 21733, 1470, 98071, 7511, 12483, 4, 6, 76776, 1285, 49597, 2442, 38, 2451, 506, 64260, 7369, 9934, 98071, 4667, 4838, 75290, 6235, 97634, 1211, 3069, 31467, 3496, 48904, 20616, 76632, 12483, 4, 1470, 33809, 1211, 42572, 33809, 1211, 874, 84577, 63849, 79238, 65482, 37826, 7369, 4838, 152656, 16175, 98071, 3131, 23173, 75230, 2702, 8903, 3131, 64260, 1211, 9424, 238144, 364, 75230, 36909, 16667, 9934, 98071, 1644, 148346, 6093, 23269, 21295, 2451, 24621, 16667, 2882, 1751, 75230, 1211, 5332, 22426, 13159, 1470, 29259, 20260, 75230, 152656, 26612, 6293, 41764, 54260, 36419, 4667, 5, 151614, 16803, 6235, 104149, 4, 163139, 49597, 95455, 215594, 1470, 75230, 2702, 32, 2451, 55242, 133190, 38, 2451, 4852, 29259, 49008, 6, 148346, 26612, 3496, 48904, 20616, 76632, 12483, 3069, 31467, 36909, 1644, 75230, 49209, 6235, 119718, 29766, 1211, 35830, 1285, 49597, 6, 143409, 7511, 49597, 2882, 6235, 39293, 65482, 9934, 98071, 1644, 148346, 6093, 2865, 40096, 148346, 54260, 13159, 1285, 49597, 1470, 75230, 15388, 12, 2451, 165592, 75230, 42572, 98071, 1644, 6, 101328, 61621, 1470, 98071, 1211, 1285, 49597, 1470, 75230, 49209, 7511, 49597, 2882, 6235, 104149, 5, 2451, 178748, 16803, 193178, 137, 36326, 107581, 710, 171433, 33809, 2909, 2451, 119055, 33809, 151614, 16803, 33809, 6235, 3111, 31467, 51723, 6150, 75230, 42572, 98071, 1644, 32, 2451, 3523, 98071, 2882, 6, 21106, 8300, 54260, 16667, 1285, 49597, 2442, 32, 2451, 2808, 33809, 1211, 81444, 4667, 37826, 7369, 3069, 31467, 5666, 65482, 148346, 1211, 2451, 26612, 6293, 3069, 31467, 6235, 148346, 1211, 25207, 105235, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 1470, 98071, 4852, 95455, 5, 6, 5, 1470, 98071, 1211, 6, 148346, 48904, 4484, 6, 148346, 92605, 33809, 51723, 5, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 3496, 71577, 1211, 2648, 120467, 163139, 49597, 67882, 26394, 119718, 59929, 6093, 170479, 16803, 33809, 163139, 49597, 46053, 4, 199145, 6428, 33809, 151614, 16803, 3069, 31467, 160204, 5, 4151, 113889, 4667, 9183, 29060, 8947, 119055, 53414, 1470, 75230, 2702, 4231, 98071, 4944, 13159, 5, 29771, 148346, 6093, 1751, 75230, 1211, 1470, 98071, 1211, 16175, 98071, 2442, 43649, 54260, 141943, 98071, 4484, 4, 37826, 9934, 98071, 4667, 41764, 54260, 36419, 4667, 5332, 22426, 13159, 4151, 87311, 13497, 12, 2451, 42572, 33809, 1211, 14856, 47526, 12483, 6319, 29259, 1211, 6, 148346, 2442, 98071, 119718, 3523, 98071, 2882, 6235, 159696, 1211, 32, 2451, 42493, 6235, 159696, 1211, 5, 2451, 199145, 42542, 95455, 153585, 32, 3373, 29259, 35465, 7369, 19302, 29259, 148346, 2882, 9934, 98071, 4667, 6, 21106, 54260, 1211, 3069, 31467, 6319, 33809, 51723, 5, 3523, 33809, 4, 2932, 33809, 2882, 5, 874, 98071, 61621, 6, 104149, 5, 2808, 33809, 1211, 125523, 37826, 41764, 54260, 36419, 4667, 4838, 6, 236376, 6235, 97634, 1211, 12, 6, 94741, 40920, 9934, 98071, 4667, 4, 6, 21106, 7611, 4, 199145, 6, 150839, 64260, 6235, 506, 40096 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3069, 31467, 18583, 4852, 29766, 15388, 1470, 98071, 83182, 506, 54260, 2050, 5, 1470, 98071, 56169, 42542, 7369, 3523, 54260, 1211, 5, 21776, 148346, 4838, 119718, 90848, 2050, 165354, 9934, 98071, 4667, 1751, 75230, 1211, 6235, 119718, 98071, 2702, 119055, 33809, 83182, 1211, 4, 199145, 7369, 6319, 33809, 63532, 3523, 98071, 2882, 36324, 75230, 145813, 29060, 5, 7369, 42542, 26612, 36909, 98071, 28726, 874, 54260, 49008, 4, 36324, 41764, 54260, 36419, 4667, 37826, 3496, 23173, 64260, 4113, 6235, 506, 40096, 2451, 4944, 26612, 4944, 26612, 4, 6, 107581, 119718, 2442, 21660, 98071, 16932, 2882, 18583, 1470, 98071, 2050, 3523, 98071, 2882, 4838, 6293, 4838, 6, 195054, 91595, 6093, 27, 1470, 33809, 112304, 98071, 16803, 38, 41764, 54260, 36419, 4667, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 1470, 98071, 4852, 3523, 98071, 2882, 4151, 115556, 132025, 8300, 33809, 39293, 64213, 9934, 98071, 4667, 4838, 6293, 239672, 6, 148346, 21106, 26612, 148346, 40096, 98071, 2050, 5, 7369, 21106, 54260, 1211, 17190, 148346, 2882, 4, 6, 212484, 4838, 6, 105235, 21338, 30109, 4113, 46685, 1470, 75230, 4667, 151614, 148346, 1211, 42572, 33809, 5666, 119718, 48904, 12483, 3069, 31467, 17190, 148346, 1211, 5, 3742, 2648, 120467, 1470, 98071, 4852, 1751, 75230, 1211, 3523, 98071, 2882, 6235, 159696, 1211, 4151, 41764, 54260, 36419, 4667, 4, 199145, 76961, 6235, 20315, 20260, 12483, 125523, 4, 2808, 98071, 1211, 4151, 42572, 20961, 36909, 21660, 16932, 1470, 33809, 1211, 874, 98071, 2882, 6, 218241, 46053, 148346, 1644, 33809, 2882, 18583, 3131, 80453, 98071, 8300, 16932, 6, 78683, 204403, 18415, 4, 2808, 33809, 1211, 874, 98071, 2882, 4151, 6, 148346, 29766, 2648, 4, 199145, 1470, 98071, 4852, 23050, 119718, 162785, 1211, 4, 163139, 49597, 163139, 49597, 1644, 20315, 4269, 90848, 4852, 3523, 98071, 2882, 6319, 29259, 1211, 3069, 31467, 23269, 5, 39293, 65482, 5, 1285, 49597, 6, 148346, 29766, 2648, 1470, 98071, 4852, 6, 148346, 26612, 1470, 98071, 2050, 1751, 75230, 1211, 3523, 98071, 2882, 36324, 75230, 6, 71804, 23405, 4, 133190, 9934, 98071, 1470, 98071, 4852, 6319, 29259, 28726, 133324, 98071, 46985, 33809, 194734, 164863, 79238, 29766, 1211, 4, 1470, 33809, 1211, 19302, 54260, 35189, 37826, 7369, 1751, 75230, 1211, 1470, 75230, 4667, 6235, 226112, 15388, 1470, 98071, 23405, 48904, 64213, 6428, 29259, 48253, 98071, 36326, 5, 1470, 33809, 1211, 95455, 4, 199145, 32887, 42572, 147713, 2882, 6, 75322, 39083, 42572, 33809, 1211, 1470, 98071, 2050, 6, 71804, 12984, 4, 163139, 49597, 7369, 21776, 2882, 874, 98071, 28320, 2808, 33809, 48775, 155246, 49597, 4484, 4, 9424, 98071, 874, 98071, 28320, 6, 80453, 98071, 2702, 57277, 119718, 4, 36324, 14856, 42572, 147713, 2882, 235311, 4, 3523, 98071, 2882, 6319, 29259, 1211, 7508, 33809, 2702, 98071, 3131, 4, 199145, 6093, 37826, 220273, 3523, 98071, 2882, 241997, 4, 133190, 116486, 16803, 117902, 3131, 29060, 137, 22426, 75230, 6093, 98071, 3131, 2004, 1470, 98071, 4852, 95455, 2808, 98071, 8300, 16932, 1470, 75230, 4667, 18583, 75290, 2882, 6235, 119718, 29766, 1211, 4838, 6293, 4838, 67882, 710, 28726, 12, 7369, 37826, 220273, 6, 21106, 54260, 1211, 3523, 98071, 2882, 23269, 119718, 33809, 16803, 4, 36324, 125523, 42572, 33809, 1211, 1285, 49597, 4231, 98071, 214766, 36326, 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 ]
[ 101328, 61621, 1470, 98071, 4852, 7369, 6235, 119718, 92605, 46053, 4838, 112216, 23822, 98071, 64260, 42572, 33809, 1211, 35189, 119055, 29259, 49268, 33809, 2702, 98071, 86733, 145813, 48775, 4667, 1470, 33809, 1211, 1470, 98071, 23405, 48904, 64213, 6, 47351, 1470, 54260, 2932, 114436, 115556, 1470, 98071, 1211, 4151, 4484, 33809, 2050, 141943, 98071, 75290, 21776, 22426, 33809, 148346, 1644, 98071, 4484, 27, 6319, 54260, 1211, 21776, 22426, 33809, 148346, 1644, 98071, 4484, 37826, 9934, 98071, 4667, 1470, 98071, 2050, 4, 18583, 29659, 54260, 2882, 9934, 98071, 4667, 4, 4484, 54260, 1211, 874, 39083, 3523, 98071, 2882, 160751, 39083, 46598, 2050, 4, 123736, 148346, 6093, 3496, 29789, 33809, 23269, 42572, 33809, 1211, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 37826, 6, 89184, 148346, 98071, 2702, 28726, 4944, 119718, 29259, 4852, 6235, 8300, 75230, 15388, 12, 6, 75322, 39083, 4838, 55242, 21733, 6, 148346, 33809, 1644, 148346, 13159, 4, 6, 75322, 39083, 4838, 6319, 13845, 148346, 1644, 4, 9424, 98071, 133190, 29060, 192956, 42572, 13845, 4944, 44779, 4, 1470, 33809, 1211, 6319, 54260, 5666, 2865, 39083, 37826, 7369, 3523, 98071, 2882, 6235, 119718, 33809, 16803, 4, 42572, 33809, 1211, 199145, 6, 150839, 64260, 28415, 6093, 12, 9424, 98071, 42572, 33809, 1211, 4151, 38087, 98071, 18415, 4151, 364, 54260, 1644, 98071, 75290, 4, 9424, 98071, 42572, 33809, 1211, 7508, 98071, 46711, 54260, 36909, 65482, 22426, 75230, 6093, 98071, 2050, 27, 4838, 148346, 98071, 95455, 4, 199145, 7369, 37826, 6235, 506, 40096, 3069, 31467, 160204, 874, 98071, 2882, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 5, 21106, 4113, 194885, 6, 101328, 61621, 4, 37826, 1470, 98071, 2050, 220273, 4269, 33809, 2882, 3069, 31467, 8903, 3131, 22426, 98071, 21295, 4, 119055, 12483, 2181, 1470, 98071, 4852, 23050, 4484, 33809, 51723, 15529, 9424, 29259, 2882, 4151, 8300, 33809, 5, 36324, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 151614, 148346, 1211, 6, 148346, 79238, 59929, 1211, 6, 148346, 98071, 2442, 61397, 25616, 98071, 2932, 3523, 98071, 2882, 241997, 6428, 33809, 2442, 4944, 4484, 33809, 51723, 874, 37016, 75230, 4113, 4667, 4151, 2376, 33809, 39340, 42572, 33809, 1211, 148707, 80453, 137377, 2442, 98071, 2808, 98071, 33716, 1211, 117902, 2442, 147712, 506, 54260, 6293, 4, 37826, 9934, 98071, 4667, 1470, 98071, 1211, 1470, 54260, 2702, 37016, 137, 23173, 29259, 5666, 151227, 54260, 13497, 155, 7508, 33809, 1982, 98071, 87311, 119718, 98071, 48253, 2451, 64260, 119055, 12483, 2181, 2808, 98071, 4852, 3069, 31467, 7511, 49597, 7611, 6235, 4484, 33809, 51723, 4151, 1751, 23173, 36909, 6093, 874, 75230, 4113, 4667, 4, 199145, 7369, 37826, 9934, 98071, 4667, 125523, 874, 12, 2882, 26394, 47526, 98071, 75290, 6, 101328, 61621, 3069, 31467, 2442, 98071, 4484, 36324, 75230, 4269, 33809, 2882, 1470, 75230, 2702, 23269, 3131, 23173, 159212, 1470, 98071, 1211, 4151, 119055, 29771, 212484, 3131, 127684, 77578, 3131, 98071, 159696, 12, 41764, 54260, 36419, 4667, 7508, 33809, 1982, 98071, 2050, 2808, 119718, 98071, 48253, 37826, 18583, 3131, 57277, 49008, 1470, 6235, 36326, 159212, 38, 3523, 98071, 57277, 4852, 75230, 3523, 98071, 4667, 21776, 2882, 9934, 98071, 4667, 2181, 4, 163139, 49597, 2181, 16175, 33809, 2882, 9934, 98071, 4667, 5, 123736, 148346, 6093, 6319, 75230, 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 ]
[ 37826, 41764, 54260, 36419, 4667, 18583, 3131, 57277, 49008, 6, 159696, 15388, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 4, 36324, 1470, 98071, 56169, 1470, 98071, 4852, 220224, 6093, 9424, 29259, 2882, 4, 163139, 49597, 6, 75322, 39083, 2181, 1470, 98071, 4852, 8903, 159696, 1211, 18133, 6, 80453, 98071, 10918, 49597, 36326, 4, 37826, 7369, 1751, 75230, 1211, 6235, 119718, 33809, 16803, 4, 36324, 7369, 6, 94741, 63020, 46711, 213783, 220224, 6093, 159696, 2932, 4, 1470, 33809, 1211, 119055, 6093, 21776, 2882, 4, 36324, 8947, 3523, 98071, 2882, 9934, 98071, 4667, 1470, 29259, 1211, 3069, 31467, 18583, 1644, 75230, 152656, 1470, 33809, 1211, 6319, 33809, 51723, 874, 98071, 57277, 18583, 2882, 98071, 38249, 162726, 47351, 4, 1470, 98071, 4852, 4838, 119718, 23173, 4113, 4269, 33809, 2882, 5, 119055, 6093, 1470, 98071, 4852, 6235, 159696, 1211, 4151, 1470, 98071, 7511, 49597, 10918, 49597, 40096, 20961, 2808, 33809, 1211, 4151, 4269, 48904, 89930, 1470, 33809, 159212, 33809, 6093, 42572, 33809, 1211, 6, 148346, 2442, 33809, 7511, 49597, 59461, 6, 212394, 119718, 98071, 33716, 88660, 137377, 32, 41764, 54260, 36419, 4667, 2442, 33809, 1982, 98071, 2050, 29771, 119718, 98071, 48253, 5, 1470, 98071, 4852, 7369, 6, 57277, 39340, 6, 148346, 26612, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 1470, 98071, 8300, 16932, 4151, 7508, 75230, 3131, 159696, 2442, 98071, 81829, 5, 148346, 26612, 86733, 7369, 37826, 6, 21106, 54260, 1211, 3523, 98071, 2882, 6235, 119718, 39083, 2882, 12, 4838, 4231, 98071, 2648, 1470, 33809, 1211, 6, 68558, 4838, 3373, 29771, 10918, 49597, 14081, 6093, 137377, 37460, 26612, 2050, 33809, 23405, 4, 42542, 18225, 9934, 171433, 1211, 5, 123736, 148346, 6093, 119055, 12483, 7369, 170479, 6, 159696, 67873, 4, 119055, 39083, 28320, 220224, 1470, 98071, 2050, 54745, 1211, 7511, 2882, 1470, 75230, 2702, 8903, 21733, 98071, 148346, 1211, 18583, 1211, 207748, 4852, 98071, 89930, 32, 123736, 148346, 6093, 3069, 31467, 199145, 123073, 4269, 33809, 18415, 4231, 29766, 37826, 6093, 2181, 6, 148346, 93704, 23173, 159212, 32, 1470, 75230, 148346, 7369, 1470, 98071, 4852, 27702, 710, 119718, 98071, 96743, 175323, 4151, 4269, 48904, 89930, 6, 148346, 21106, 4113, 148346, 120467, 4, 1470, 33809, 1211, 2442, 6093, 207748, 4852, 98071, 89930, 1470, 98071, 4852, 6, 148346, 26612, 1470, 98071, 2050, 1470, 98071, 1211, 1285, 49597, 364, 35596, 137, 78683, 4944, 75230, 16932, 6, 148346, 29789, 23173, 14779, 175323, 75230, 89930, 2909, 119718, 120467, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 9934, 29771, 13497, 1470, 98071, 2050, 4, 95455, 16175, 33809, 2882, 7369, 4, 1470, 33809, 1211, 199145, 7369, 4151, 71804, 23405, 96256, 98071, 2050, 4, 95455, 22518, 29259, 148346, 2882, 7369, 1470, 33809, 13497, 6093, 5, 28415, 7511, 49597, 2882, 199145, 4231, 114436, 37826, 4151, 33809, 6293, 133190, 7511, 49597, 2050, 6319, 29259, 1211, 9424, 29259, 2882, 1470, 33809, 1211, 2181, 657, 98071, 13497, 1470, 98071, 2050, 3523, 98071, 2882, 1470, 98071, 1211, 6319, 137377, 5, 6, 148346, 48904, 54260, 2882, 7369, 9934, 98071, 4667, 1470, 98071, 23405, 48904, 64213, 2357, 68558, 4838, 207748, 4852, 98071, 89930, 12, 43649, 13845, 36909, 23173, 186145, 16932, 41764, 54260, 36419, 4667, 7508, 33809, 4944, 98071, 2050, 29771, 119718, 98071, 48253 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1211, 220273, 2451, 119718, 120467, 42572, 13845, 2882, 32, 2648, 98071, 200795, 9424, 29259, 2882, 4, 119055, 12483, 41764, 54260, 36419, 4667, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 37826, 9934, 98071, 4667, 132025, 8903, 506, 75230, 148346, 1211, 2808, 54260, 36419, 38249, 874, 98071, 2882, 6, 95494, 152656, 10676, 6, 88660, 137377, 6093, 40096, 98071, 119718, 4, 37826, 9934, 98071, 4667, 1470, 98071, 1211, 6, 105235, 21338, 6235, 75290, 2882, 159696, 21295, 1211, 2451, 25616, 4113, 46685, 1470, 33809, 1211, 364, 141943, 44478, 194885, 1211, 6, 23173, 33809, 127209, 43178, 48904, 49008, 6, 68558, 6319, 137377, 27, 2451, 119055, 33809, 1470, 98071, 4852, 95455, 221387, 23050, 119718, 29766, 1211, 4, 6150, 4838, 4231, 98071, 2648, 4838, 1751, 75230, 4944, 29060, 170479, 193178, 137218, 94741, 51172, 2702, 874, 98071, 2882, 46050, 49597, 119364, 1470, 33809, 1211, 115222, 49209, 6, 159696, 51723, 2451, 39340, 15388, 1470, 54260, 5666, 65482, 6, 148346, 2442, 98071, 35189, 239672, 12, 36909, 4113, 4, 3496, 21106, 29771, 3131, 13159, 38, 2451, 506, 29771, 148346, 1211, 220224, 6235, 80453, 33809, 119718, 2882, 163139, 49597, 24152, 1211, 4838, 6293, 153585, 4231, 75230, 86733, 2451, 119718, 33809, 1470, 98071, 4852, 95455, 23269, 506, 77188, 6235, 119718, 29766, 1211, 4, 21776, 148346, 41764, 54260, 36419, 4667, 4, 4838, 6, 105235, 21338, 874, 98071, 2882, 30109, 4113, 46685, 4, 6319, 54260, 76776, 5927, 29766, 4113, 27, 26612, 159696, 4484, 75230, 1644, 171428, 6, 68558, 4838, 14856, 101608, 5, 4852, 54260, 220224, 49008, 6235, 240863, 12483, 4838, 36909, 98071, 28726, 119055, 29259, 16932, 4, 1470, 33809, 1211, 151614, 148346, 1211, 6235, 80453, 33809, 119718, 2882, 6, 128540, 2808, 33809, 13497, 53414, 3373, 29771, 36909, 37016, 1470, 98071, 1211, 4269, 48904, 64213, 1285, 49597, 38087, 98071, 18415, 194885, 9424, 98071, 18225, 178748, 220273, 8947, 1211, 42572, 33809, 1211, 4852, 29259, 1211, 38087, 98071, 18415, 32, 123736, 148346, 6093, 119055, 6093, 6, 236376, 1470, 98071, 8300, 16932, 6, 159696, 15388, 38087, 98071, 18415, 32, 41764, 54260, 36419, 4667, 2442, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 37826, 6235, 36909, 98071, 21295, 4, 36324, 81444, 874, 33809, 4852, 7369, 153585, 42572, 119273, 1470, 98071, 1211, 4151, 6428, 54260, 4113, 2808, 33809, 1211, 364, 23173, 2882, 4, 1470, 33809, 1211, 95455, 1470, 98071, 4852, 7369, 163139, 49597, 24152, 44779, 6235, 159696, 1211, 5, 1470, 33809, 1211, 199145, 37826, 9934, 98071, 4667, 1470, 75230, 2702, 8903, 212484, 2882, 32, 1470, 33809, 2050, 4852, 98071, 80885, 22518, 37016, 5, 36324, 75230, 163139, 49597, 239672, 151614, 148346, 1211, 6, 128750, 98071, 6093, 23050, 25616, 63593, 77188, 4, 36324, 75230, 506, 29771, 148346, 1211, 220224, 6235, 25616, 63593, 77188, 1470, 75230, 4667, 119055, 29259, 16932, 4, 1470, 33809, 1211, 18225, 6319, 68558, 6, 225975, 1211, 4, 125523, 874, 98071, 2882, 46685, 6093, 4151, 36909, 39083, 2932, 5, 41764, 54260, 36419, 4667, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 37826, 9934, 98071, 4667, 1470, 75230, 2702, 8903, 212484, 2882, 133190, 7511, 49597, 158652, 29259, 1211, 620, 91595, 6093, 115556, 4, 1470, 33809, 1211, 199145, 8947, 37826, 6, 148346, 92605, 33809, 51723, 4151, 6, 88660, 137377, 6093, 40096, 98071 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 119718, 4, 506, 29771, 148346, 1211, 23050, 506, 40096, 1285, 30109, 4113, 46685, 5, 199145, 37826, 6235, 36909, 13845, 2882, 32, 2648, 120467, 1470, 54260, 2932, 65482, 1470, 75230, 4667, 1470, 98071, 8300, 16932, 874, 98071, 2882, 4151, 186046, 2882, 17645, 6, 78683, 137377, 6093, 40096, 98071, 159696, 6, 238144, 12483, 4, 119718, 29771, 4944, 41764, 54260, 36419, 4667, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 37826, 364, 29259, 13497, 6235, 506, 40096, 3069, 31467, 21776, 21106, 98071, 4852, 98071, 61621, 5, 1470, 54260, 105405, 44779, 506, 64260, 7369, 95455, 4838, 128750, 98071, 6093, 23050, 4484, 35596, 6235, 148346, 1211, 3069, 31467, 6, 87311, 67873, 4838, 6293, 4151, 874, 98071, 1644, 4, 1470, 33809, 1211, 4151, 113889, 4667, 2808, 98071, 148346, 6093, 8903, 148346, 1211, 1751, 75230, 1211, 1285, 49597, 48277, 1470, 98071, 1211, 1285, 49597, 6, 80453, 98071, 119718, 174121, 6319, 90848, 51723, 19532, 29259, 1211, 5, 95455, 119055, 39083, 96256, 448, 6, 148346, 13159, 6093, 192183, 159696, 7511, 49597, 61621, 5, 123736, 148346, 6093, 9424, 98071, 657, 75230, 13497, 9934, 98071, 4667, 1470, 98071, 2050, 3069, 31467, 1470, 54260, 36419, 38249, 4151, 2865, 98071, 2882, 32, 5666, 54260, 1211, 4, 8947, 657, 75230, 13497, 3523, 98071, 2882, 12, 4151, 1470, 33809, 194734, 93509, 54260, 2648, 1470, 98071, 1211, 1285, 49597, 6, 80453, 29259, 56880, 1470, 98071, 4852, 1470, 98071, 1211, 6, 148346, 2442, 33809, 7511, 49597, 59461, 8903, 5666, 13497, 3523, 98071, 2882, 6319, 29259, 1211, 17824, 75230, 101608, 5, 17190, 148346, 1211, 220224, 4838, 166464, 4, 1285, 49597, 30109, 4113, 46685, 1285, 49597, 6, 148346, 2442, 33809, 7511, 49597, 59461, 4, 1470, 33809, 1211, 4852, 39083, 1211, 220224, 6, 57277, 39340, 163139, 49597, 46053, 4, 163139, 49597, 3069, 31467, 27855, 64213, 4838, 6235, 159696, 39293, 119132, 1751, 75230, 4944, 29060, 5, 6, 75322, 39083, 194885, 1211, 23269, 159696, 1211, 87680, 6, 148346, 14081, 29060, 75230, 159696, 2702, 1470, 98071, 1211, 6, 105235, 21338, 2451, 119718, 33809, 194885, 1211, 220224, 1470, 98071, 8300, 16932, 32, 2808, 98071, 8300, 16932, 1470, 98071, 4852, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 153222, 2050, 9424, 29259, 2882, 2451, 46598, 178748, 220224, 132025, 29659, 54260, 1211, 27, 2451, 3523, 33809, 199145, 4, 21776, 148346, 4838, 119718, 90848, 2050, 32, 2451, 506, 64260, 9934, 98071, 4667, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 4151, 1644, 75230, 148346, 2882, 3069, 31467, 101296, 12984, 4838, 148346, 98071, 35044, 84349, 59929, 4, 19532, 29259, 20260, 33809, 24621, 16747, 98071, 4484, 3069, 31467, 2050, 6235, 159696, 39293, 119132, 15, 29771, 148346, 6093, 1470, 98071, 83182, 29789, 13159, 1211, 1470, 75230, 4667, 1470, 98071, 56169, 98071, 38249, 16, 6, 98683, 141943, 44478, 21776, 148346, 4838, 119718, 90848, 2050, 6319, 33809, 2882, 59461, 4, 199145, 7369, 1470, 98071, 4852, 36909, 23173, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 1211, 23050, 159696, 1211, 4151, 3523, 98071, 2882, 123736, 36909, 710, 42180, 44478, 207748, 29659, 54260, 6093, 24464, 76961, 105235, 21338, 2648, 98071, 39340, 30109, 4113, 46685, 2451, 2808, 98071, 2442, 37826, 5332, 36909, 86733, 3496, 23173, 64260, 4113, 6235, 506, 40096, 4838, 152656, 6235, 36326, 159212, 32, 2451, 199145 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21776, 2882, 1470, 98071, 2442, 4, 21776, 148346, 41764, 54260, 36419, 4667, 2451, 506, 64260, 9934, 98071, 4667, 4231, 114436, 4151, 128750, 54260, 2882, 874, 98071, 28320, 36909, 23173, 3131, 109636, 2882, 98071, 20911, 1211, 6, 76776, 16803, 2451, 2808, 98071, 4667, 151614, 148346, 1751, 75230, 1211, 6235, 10918, 49597, 16932, 2882, 4, 6, 97634, 46685, 6319, 33809, 63532, 1470, 98071, 164863, 98071, 2882, 5, 6, 107581, 119718, 25207, 6, 212484, 2882, 3523, 98071, 2882, 7508, 33809, 12483, 27, 2451, 3523, 33809, 4, 9424, 54260, 21295, 182731, 5, 95766, 874, 5, 2882, 4838, 6, 148346, 2442, 54260, 28320, 4, 220273, 7511, 49597, 2882, 6, 29766, 63593, 183718, 38249, 6, 163177, 119273, 4, 6, 23173, 29259, 100863, 54260, 2932, 16747, 98071, 4484, 10676, 119859, 69106, 17824, 54260, 46053, 6, 109636, 21733, 23050, 21295, 1470, 98071, 1211, 115222, 3131, 65482, 4, 37826, 7369, 3069, 31467, 8903, 8903, 148346, 1211, 12, 2451, 3069, 31467, 101470, 6, 148346, 208048, 40920, 5, 1470, 33809, 1211, 6, 148346, 98071, 21733, 21106, 207748, 4852, 98071, 40920, 98071, 4484, 5, 1470, 98071, 2442, 18583, 29659, 54260, 2882, 21106, 54260, 1211, 4, 36324, 1470, 98071, 2442, 119055, 29060, 874, 98071, 4667, 18583, 3131, 98071, 28320, 4, 119055, 29060, 1470, 98071, 2442, 4151, 36909, 33809, 1211, 1470, 75230, 4667, 6319, 54260, 1211, 506, 48904, 29771, 4113, 42493, 151614, 148346, 1211, 5, 39293, 2882, 81444, 4667, 1751, 75230, 1211, 21776, 148346, 4838, 119718, 90848, 2050, 4, 36324, 21776, 148346, 41764, 54260, 36419, 4667, 6, 212484, 2882, 9934, 98071, 4667, 7508, 54260, 35465, 4, 364, 26612, 2050, 6093, 6235, 36909, 33809, 49008, 18583, 3523, 75230, 2882, 98071, 4484, 6, 23173, 29259, 57619, 33809, 119718, 23173, 152656, 4838, 117902, 2442, 119055, 6093, 16932, 1470, 75230, 4667, 6, 159696, 15388, 119718, 29259, 16932, 2648, 98071, 39340, 6235, 36326, 159212, 1211, 2451, 159696, 15388, 4151, 6319, 33809, 24621, 16747, 98071, 75290, 6, 61397, 29060, 76632, 49597, 3131, 5, 2451, 30109, 4113, 46685, 1470, 98071, 13497, 6093, 13159, 98071, 61621, 9934, 98071, 4667, 3069, 31467, 163139, 49597, 46053, 2451, 506, 64260, 7369, 6235, 225975, 2882, 6, 238144, 4667, 2205, 119718, 98071, 14856, 4944, 98071, 28726, 6, 148346, 29060, 16747, 98071, 4484, 2451, 119718, 120467, 119055, 29060, 153585, 874, 98071, 2882, 4151, 3523, 29259, 6093, 6, 61397, 29060, 76632, 49597, 3131, 32, 2882, 98071, 16803, 2808, 24621, 119055, 29060, 1470, 98071, 2442, 81444, 4667, 1470, 33809, 16747, 4852, 119055, 29259, 16932, 1470, 75230, 4667, 3523, 98071, 2882, 18583, 212484, 1211, 5, 2442, 33809, 4944, 98071, 2050, 29771, 119718, 98071, 48253, 6, 236376, 4838, 36909, 98071, 28726, 3523, 98071, 2882, 17824, 75230, 2702, 3069, 31467, 6, 234221, 9934, 98071, 4667, 1470, 33809, 1211, 41764, 48775, 159696, 1211, 2808, 98071, 148346, 6093, 98071, 39340, 67826, 49597, 4484, 874, 98071, 2882, 1285, 49597, 30109, 4113, 46685, 2451, 6093, 1470, 98071, 4852, 6, 57277, 39340, 7369, 4, 123736, 148346, 6093, 215594, 1470, 98071, 2442, 90848, 4667, 4, 7369, 21776, 2882, 874, 98071, 2882, 220224, 4, 163139, 4838, 34076, 29259, 104238, 42542, 18225, 6, 225975, 1211, 4, 1470, 33809, 1211, 6, 35596, 36909, 77188, 6235, 36326, 159212, 44779, 1470, 33809, 1211, 3069, 31467, 4151 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6, 170355, 4667, 12, 2451, 4838, 16175, 54260, 1644, 1054, 29060, 18225, 874, 33809, 56880, 120202, 8903, 148346, 1211, 4151, 48277, 33809, 107581, 5, 874, 98071, 2442, 194885, 1211, 6, 148346, 26612, 1470, 98071, 2442, 1470, 98071, 1211, 15529, 364, 35596, 5, 95455, 1470, 98071, 148346, 6093, 98071, 39340, 151614, 148346, 1470, 98071, 4667, 1470, 29259, 4667, 1470, 98071, 1211, 9934, 98071, 49008, 5, 4838, 119718, 23173, 4113, 4, 4838, 119718, 93704, 4113, 38, 119718, 120467, 125523, 6, 148346, 1644, 29259, 148346, 2882, 81444, 1470, 98071, 148346, 6093, 18583, 4838, 119718, 90848, 51723, 4, 1470, 75230, 101608, 120202, 94741, 20260, 12483, 32, 2648, 120467, 16175, 33809, 2882, 7369, 874, 98071, 28320, 3523, 48904, 64213, 364, 23173, 64213, 4, 1470, 33809, 1211, 21776, 148346, 41764, 54260, 36419, 4667, 3523, 54260, 2882, 4838, 159696, 4484, 5, 21776, 148346, 22426, 54260, 36419, 12984, 42572, 13845, 2882, 3523, 98071, 2882, 6319, 29259, 1211, 6319, 137377, 13982, 54260, 76632, 49597, 3131, 1470, 98071, 1211, 4269, 59929, 4, 1470, 98071, 148346, 150839, 75230, 22426, 2882, 6, 57277, 39340, 874, 98071, 23822, 12, 41764, 75230, 6093, 98071, 2050, 5, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 2451, 2648, 120467, 1470, 98071, 4852, 133190, 6, 47351, 4838, 83182, 1470, 75230, 28726, 2050, 4, 1470, 33809, 1211, 874, 98071, 2882, 4852, 54260, 6, 94741, 63020, 18225, 163139, 49597, 46053, 4, 163139, 49597, 3069, 31467, 42572, 98071, 61621, 27, 6, 64260, 37826, 7369, 1470, 98071, 8300, 16932, 47833, 1470, 54260, 2702, 37016, 874, 98071, 57277, 46711, 129071, 29766, 4, 199145, 6, 48775, 119718, 39340, 163139, 49597, 67873, 1470, 98071, 2050, 3069, 31467, 101470, 1285, 49597, 123736, 25207, 24621, 5, 6, 87311, 21295, 1470, 29259, 4667, 4, 6093, 37826, 220224, 1751, 75230, 1211, 17288, 104238, 45223, 159212, 1470, 98071, 148346, 6093, 61397, 29060, 12, 2451, 3069, 31467, 199145, 4, 42572, 25207, 2932, 1470, 98071, 4667, 6, 148346, 26612, 1470, 29259, 4667, 2451, 506, 64260, 7369, 874, 98071, 2882, 220224, 6, 23173, 29259, 5666, 8903, 57277, 71512, 2882, 7961, 506, 64260, 9934, 98071, 4667, 1470, 29259, 4667, 18583, 21847, 33809, 16803, 36324, 13845, 107581, 6, 170355, 12984, 4, 199145, 1470, 98071, 2442, 119055, 29060, 3523, 98071, 2882, 51678, 148346, 26612, 506, 75230, 148346, 1211, 32, 3069, 31467, 199145, 4, 42572, 25207, 2932, 1470, 98071, 4667, 6, 148346, 26612, 1470, 29259, 4667, 4, 6428, 23173, 159212, 1470, 98071, 2442, 7508, 33809, 38249, 1470, 29259, 123073, 506, 13845, 2648, 168155, 1470, 98071, 1211, 167048, 98071, 21733, 42572, 33809, 1211, 1285, 49597, 3496, 75230, 159696, 2702, 6, 23173, 29259, 1211, 32, 123736, 25207, 24621, 657, 29259, 2882, 9934, 29259, 13497, 1470, 98071, 2442, 32, 101328, 5, 1470, 98071, 2442, 119055, 29060, 9934, 98071, 4667, 81444, 4667, 6319, 29259, 1211, 874, 39083, 3523, 98071, 2882, 1470, 75230, 2702, 8300, 39083, 1211, 5, 36324, 2181, 119055, 29060, 6319, 33809, 51723, 3069, 31467, 2050, 8300, 39083, 1211, 4, 874, 54260, 13497, 1470, 98071, 2442, 4, 36324, 14856, 119055, 29060, 1470, 29259, 4667, 6319, 33809, 38249, 1470, 98071, 1211, 1285, 49597, 9424, 54260, 59461, 32, 3523, 54260, 1211, 4, 14856, 6, 159696, 96256, 29259, 4667, 1470, 98071, 1211, 1285, 49597, 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 ]
[ 54260, 59461, 3523, 98071, 2882, 6319, 33809, 38249, 27, 6093, 37826, 220224, 4269, 33809, 2882, 132025, 8903, 25391, 218241, 1211, 27, 7369, 37826, 220224, 4838, 6293, 36324, 75230, 36909, 98071, 1644, 132025, 8903, 25391, 218241, 1211, 4, 165592, 4, 6319, 48775, 8300, 16747, 98071, 4484, 9934, 98071, 4667, 1470, 98071, 1211, 1285, 49597, 117902, 2882, 98071, 1644, 98071, 26394, 2702, 4, 194885, 1211, 220224, 163139, 49597, 35189, 4838, 159696, 4484, 6, 148346, 26612, 710, 236376, 1211, 9934, 98071, 4667, 5, 364, 29259, 13497, 6, 159696, 67873, 220224, 6235, 119718, 98071, 2702, 6, 113889, 4944, 75322, 39083, 6319, 33809, 51723, 5, 874, 33809, 4852, 21776, 148346, 41764, 54260, 36419, 4667, 101296, 12984, 36324, 75230, 4, 36324, 3069, 31467, 4151, 9424, 29259, 2882, 4, 119055, 12483, 220224, 6, 159696, 67873, 6319, 33809, 51723, 4, 170479, 1751, 54260, 1211, 153585, 145813, 29060, 5, 35189, 8300, 33809, 874, 33809, 4852, 7369, 6, 148346, 21106, 2648, 6, 23173, 75230, 49268, 33809, 152656, 1285, 49597, 6, 148346, 26612, 147713, 33809, 36909, 98071, 2050, 1470, 98071, 1211, 6, 88660, 137377, 6093, 40096, 98071, 119718, 5, 4046, 22426, 54260, 36419, 40377, 119055, 29259, 148346, 4, 1285, 49597, 6235, 159696, 4852, 65482, 1751, 75230, 4944, 29060, 39340, 3496, 48904, 20616, 76632, 4113, 4, 37826, 163139, 49597, 35189, 8903, 506, 40096, 1470, 98071, 2442, 9934, 29766, 2932, 4838, 152656, 6319, 137377, 5, 6319, 75230, 2050, 1470, 98071, 4852, 6235, 159696, 1211, 125523, 41764, 33809, 2442, 98071, 2050, 4, 37826, 18225, 1751, 75230, 1211, 8903, 24621, 98833, 132025, 506, 75230, 148346, 1211, 6, 236376, 1211, 6, 159696, 49209, 41764, 54260, 36419, 4667, 5, 1285, 49597, 141879, 6, 101328, 61621, 37826, 3496, 48904, 20616, 76632, 4113, 6, 21106, 54260, 1211, 3523, 98071, 2882, 6, 148346, 93704, 23173, 159212, 6, 23173, 148346, 213783, 4, 9934, 98071, 37826, 6235, 234221, 4838, 1285, 49597, 16667, 2882, 4, 163139, 49597, 47351, 37922, 13159, 4113, 67882, 94741, 2050, 4, 1470, 33809, 1211, 42572, 33809, 16747, 119273, 159696, 15388, 37826, 9934, 98071, 9934, 98071, 4667, 4838, 152656, 137, 22426, 75230, 6093, 81829, 6319, 137377, 155, 2451, 26612, 46050, 49597, 119364, 42572, 33809, 1211, 4838, 6, 113889, 35596, 1211, 81444, 63020, 2451, 4484, 54260, 5666, 2865, 39083, 1470, 98071, 1211, 6319, 54260, 1211, 6, 170355, 4667, 3523, 98071, 2882, 18583, 212484, 96256, 33809, 1211, 1470, 33809, 107182, 33809, 2050, 37826, 9934, 98071, 9934, 98071, 4667, 6, 150349, 48775, 159696, 2882, 6, 21106, 54260, 1211, 5, 119055, 6093, 6, 238144, 16803, 54745, 1211, 3523, 98071, 2882, 4, 199145, 23173, 148346, 29060, 8947, 16175, 33809, 2882, 9934, 98071, 4667, 1470, 98071, 1211, 4838, 43649, 33809, 148346, 4, 1470, 33809, 1211, 18583, 41764, 54260, 36419, 4667, 1470, 98071, 148346, 150839, 75230, 22426, 2882, 32, 874, 54260, 28726, 4, 8903, 16747, 4852, 43649, 54260, 12483, 1751, 75230, 1211, 1470, 98071, 1211, 43649, 13845, 10813, 1470, 33809, 1211, 43649, 137377, 1211, 9934, 98071, 4667, 292, 1751, 75230, 1211, 1470, 54260, 5666, 87311, 122868, 141943, 4852, 38, 123736, 148346, 6093, 874, 98071, 2882, 6235, 16747, 4852, 6, 21106, 54260, 1211, 67882, 40920, 18225, 10676, 41764, 54260, 36419, 4667, 32, 1470, 98071, 4852, 18583, 47351, 170355, 12984, 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 ]
[ 199145, 18225, 42542, 125523, 120202, 1644, 54260, 15388, 4, 163139, 49597, 17190, 87311, 31249, 4, 67882, 26394, 6, 148346, 92605, 1211, 5, 123736, 148346, 6093, 18583, 47351, 165592, 13845, 107581, 6, 170355, 12984, 4, 199145, 14856, 6319, 68558, 1751, 75230, 1211, 28415, 3523, 98071, 2882, 120202, 1644, 54260, 15388, 4, 17190, 87311, 31249, 4, 6, 148346, 113889, 2648, 98071, 2050, 5, 4944, 48904, 20616, 76632, 4113, 37826, 42572, 29259, 13497, 1285, 49597, 18583, 31249, 29771, 36909, 65482, 6, 148346, 2442, 33809, 98071, 2050, 4, 199145, 4838, 128750, 98071, 6093, 620, 29771, 152656, 220224, 2808, 33809, 1211, 4151, 113889, 4667, 4269, 98071, 148346, 1211, 220224, 9934, 98071, 4667, 4838, 3496, 71577, 12, 3496, 71577, 1644, 71577, 4, 119055, 12483, 76961, 9915, 29259, 35189, 1470, 33809, 1211, 9915, 29259, 35189, 4484, 13159, 194885, 1211, 1751, 75230, 1211, 18583, 3111, 31467, 51723, 2451, 119718, 120467, 18583, 4838, 4269, 33809, 125830, 42542, 6, 23173, 75230, 95564, 33809, 51723, 42572, 33809, 1211, 2808, 29259, 1644, 76632, 49597, 3131, 32, 37826, 3496, 48904, 20616, 76632, 4113, 120202, 59461, 29060, 874, 98071, 2882, 4151, 9915, 29259, 35189, 39340, 4838, 6293, 364, 29259, 13497, 8300, 33809, 8300, 33809, 3131, 5666, 29259, 35465, 4, 37826, 9934, 98071, 1751, 75230, 1211, 6235, 506, 40096, 132025, 23269, 50856, 54260, 2882, 10676, 112216, 4484, 1751, 97634, 6293, 4838, 152656, 16175, 98071, 3131, 4, 2451, 2808, 33809, 1211, 55242, 141943, 98071, 4484, 4, 1054, 98071, 119055, 13845, 119718, 1644, 37826, 9934, 98071, 4667, 6235, 3111, 31467, 51723, 3069, 31467, 3131, 80453, 54260, 28320, 4838, 6293, 4151, 117902, 2648, 203749, 63593, 98071, 2882, 153585, 657, 29259, 119718, 13497, 4, 1470, 33809, 1211, 7369, 37826, 8947, 6235, 3111, 31467, 51723, 3069, 31467, 21733, 71577, 1211, 874, 98071, 2882, 6, 48253, 159696, 4484, 44779, 4, 1470, 33809, 2050, 25616, 98071, 30741, 2648, 98071, 4484, 4838, 6293, 1285, 49597, 136645, 49597, 1470, 98071, 148346, 6093, 4151, 7369, 2648, 4, 37826, 9934, 98071, 6235, 225975, 2882, 6, 47351, 1470, 33809, 69708, 33809, 128750, 98071, 2648, 65482, 12, 2451, 55242, 133190, 4, 7508, 33809, 151614, 16803, 874, 98071, 2442, 125523, 81444, 23050, 36909, 13845, 2882, 874, 98071, 2882, 6428, 29259, 23269, 657, 29259, 119718, 13497, 5, 2808, 33809, 1211, 6, 148346, 21106, 2648, 37826, 9934, 98071, 1470, 98071, 2050, 6235, 3111, 31467, 51723, 120202, 29659, 33809, 22426, 1211, 199145, 119055, 29259, 16932, 3069, 31467, 4151, 119718, 84577, 12, 2451, 7508, 33809, 4484, 9934, 98071, 4667, 4, 7508, 33809, 4484, 9934, 98071, 4667, 4, 9934, 29259, 874, 75230, 10813, 4, 199145, 119055, 29259, 16932, 3069, 31467, 4151, 119055, 84577, 27, 6, 64260, 165592, 75230, 4, 125523, 4838, 148346, 98071, 35044, 4, 125523, 4838, 148346, 98071, 35044, 27, 6, 148346, 21106, 2648, 6, 94741, 63020, 6319, 33809, 51723, 1285, 49597, 9915, 29259, 35189, 39340, 1470, 33809, 1211, 119718, 33809, 119055, 13845, 1470, 98071, 4667, 9934, 98071, 4667, 81444, 51678, 4838, 6, 75290, 160204, 32, 29771, 148346, 6093, 10676, 42572, 59929, 68558, 37826, 3496, 48904, 20616, 76632, 4113, 3523, 98071, 2882, 1470, 75230, 2702, 8903, 234221, 4, 1470, 33809, 1211, 207748, 23093, 64260, 9934, 98071, 6235, 2865, 33809, 4852, 2882, 6, 23173, 75230, 2702 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 119718, 29259, 56880, 1285, 49597, 14779, 113889, 4113, 4, 199145, 9934, 98071, 37826, 42572, 33809, 1211, 1470, 98071, 2442, 6, 212915, 874, 98071, 2882, 4852, 29259, 23269, 1470, 33809, 159212, 33809, 12483, 12, 2451, 123736, 148346, 6093, 7369, 6, 212484, 2882, 3523, 98071, 2882, 6428, 33809, 81455, 6319, 29259, 1211, 1470, 54260, 1211, 6, 101328, 194734, 119718, 220224, 53414, 4, 1470, 33809, 1211, 6, 150839, 98071, 2882, 2181, 120202, 4, 163139, 49597, 4838, 6, 128750, 33809, 46685, 4231, 98071, 2648, 95455, 6, 94741, 119718, 49008, 5, 199145, 1470, 98071, 4852, 1751, 75230, 1211, 6428, 99766, 1211, 148346, 26612, 1470, 29259, 4667, 163139, 49597, 35189, 32, 657, 29771, 2865, 98071, 4667, 1470, 75230, 4667, 163139, 49597, 46053, 5, 2451, 4838, 6, 48775, 93975, 151614, 80885, 4, 67882, 24621, 4, 292, 874, 98071, 2702, 97634, 24621, 6, 94741, 63020, 18225, 95455, 151614, 148346, 1211, 8300, 33809, 2050, 6235, 36326, 159212, 5, 36324, 4151, 16175, 174121, 364, 54260, 16803, 193178, 4, 178748, 16803, 33809, 9934, 98071, 4667, 18583, 212484, 1211, 5, 2451, 1470, 33809, 1211, 119055, 6093, 8947, 6, 94741, 63020, 7746, 6, 101328, 7508, 33809, 38249, 292, 37826, 81444, 119055, 13845, 119718, 1644, 6235, 36909, 33809, 49008, 6, 47351, 99766, 4838, 6293, 6, 23173, 137377, 8300, 33809, 2442, 29259, 46053, 153585, 6319, 59929, 42572, 33809, 1211, 4151, 4231, 98071, 23405, 6093, 6093, 1751, 159696, 82576, 6, 128750, 54260, 2648, 5, 1644, 12483, 292, 1470, 98071, 4852, 95455, 6, 64260, 1285, 49597, 112216, 23269, 20260, 4113, 5, 7508, 33809, 4484, 9934, 98071, 4667, 4, 9934, 29259, 874, 75230, 10813, 38, 292, 37826, 7369, 9934, 98071, 506, 4113, 159212, 506, 4838, 43649, 75230, 2702, 6235, 97634, 1211, 874, 98071, 28320, 43649, 33809, 1644, 4, 4838, 6293, 119055, 13845, 107581, 9934, 98071, 1470, 98071, 4852, 6235, 39293, 46053, 6, 76776, 49209, 3768, 119718, 29259, 2882, 42572, 33809, 1211, 153585, 657, 29259, 119718, 13497, 1470, 33809, 1211, 1470, 98071, 83182, 63593, 13159, 1211, 37826, 9934, 98071, 1470, 98071, 2050, 133190, 7511, 49597, 2882, 74806, 16932, 2882, 4, 165592, 9934, 98071, 1470, 98071, 4852, 1751, 98071, 2442, 3523, 98071, 2882, 6, 23173, 137377, 8903, 36909, 21106, 1211, 4838, 6293, 4151, 7369, 2648, 4, 1470, 33809, 1211, 4838, 6293, 3069, 31467, 137, 36909, 23173, 148346, 29259, 46053, 155, 506, 64260, 7369, 125523, 3069, 31467, 5666, 65482, 148346, 1211, 292, 4852, 98071, 657, 48350, 2882, 1751, 75230, 1211, 4838, 6, 148346, 33809, 4667, 4, 657, 48350, 2882, 9934, 98071, 1751, 75230, 1211, 42572, 33809, 1211, 193042, 24621, 2808, 98071, 83182, 128750, 98071, 292, 1285, 49597, 14857, 98071, 26394, 2050, 163139, 49597, 4944, 29771, 119718, 48904, 4484, 109316, 292, 1470, 33809, 1211, 1285, 49597, 874, 174121, 6, 94741, 63020, 6, 23173, 148346, 213783, 4838, 6293, 1470, 98071, 2442, 5, 9934, 98071, 27855, 63532, 9934, 98071, 4667, 220273, 7511, 49597, 2882, 5, 2648, 120467, 1470, 98071, 4852, 6235, 159696, 1211, 215031, 3373, 98071, 23269, 42572, 33809, 1211, 119055, 13845, 119718, 1644, 12483, 3069, 31467, 4151, 1751, 159696, 82576, 4, 199145, 6093, 37826, 6, 21106, 54260, 1211, 3523, 98071, 2882, 6235, 119718, 33809, 16803, 4, 42572, 33809, 5666, 119718, 48904, 12483, 9934, 98071, 235466 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9934, 98071, 4667, 5, 123736, 148346, 6093, 1285, 49597, 3373, 98071, 23269, 2808, 98071, 4852, 6235, 159696, 1211, 4838, 16175, 98071, 36909, 4113, 1470, 33809, 1211, 4838, 18583, 148346, 98071, 2702, 65482, 4, 199145, 42572, 147713, 2882, 9934, 98071, 4667, 6, 23173, 75230, 49268, 29259, 46053, 6, 148346, 26612, 17645, 35189, 6, 151227, 43178, 5927, 29259, 2882, 5, 1470, 33809, 1211, 28415, 3523, 98071, 2882, 199145, 3496, 48904, 20616, 76632, 4113, 4, 199145, 1470, 98071, 2442, 1470, 98071, 4852, 17645, 35189, 6319, 98071, 16747, 6235, 159696, 1211, 4838, 6319, 98071, 16747, 4, 42572, 1644, 35596, 1470, 98071, 2050, 76961, 2865, 39083, 120202, 234221, 12, 2451, 3523, 33809, 4, 6235, 3111, 31467, 2932, 1751, 75230, 1211, 4, 6235, 3111, 31467, 2932, 1751, 75230, 1211, 5, 9934, 98071, 6, 119273, 6, 90848, 4667, 3523, 98071, 2882, 6428, 29259, 23269, 5, 6, 95494, 4, 6, 94741, 40920, 4852, 98071, 4667, 4, 6, 90848, 39293, 43649, 54260, 2882, 1470, 33809, 2442, 5, 2451, 2808, 33809, 1211, 3069, 31467, 5666, 54260, 141943, 98071, 4484, 3069, 31467, 2050, 6, 159696, 177282, 4, 37826, 9934, 98071, 132025, 190135, 1470, 98071, 25207, 1470, 75230, 53414, 4, 9424, 98071, 2181, 364, 77188, 9934, 98071, 4667, 5332, 22426, 13159, 5, 2808, 98071, 1211, 4151, 874, 98071, 3111, 31467, 2882, 1470, 98071, 4852, 6, 23173, 29259, 1211, 1285, 49597, 9915, 29259, 35189, 39340, 12, 2451, 199145, 16175, 33809, 16803, 33809, 4, 119055, 13845, 119718, 1644, 32, 6428, 33809, 874, 39083, 16803, 18583, 1285, 49597, 6, 23173, 148346, 4113, 16932, 32, 76961, 236376, 1211, 1470, 98071, 8300, 16932, 6, 159696, 15388, 1285, 49597, 6, 23173, 148346, 4113, 16932, 5, 29771, 148346, 6093, 42572, 33809, 1211, 1470, 98071, 2442, 1470, 75230, 2932, 1470, 98071, 4852, 3523, 98071, 2882, 4838, 177282, 29771, 152656, 1470, 75230, 4667, 3496, 48904, 20616, 76632, 4113, 4, 27702, 178107, 65482, 1470, 98071, 4852, 1751, 75230, 1211, 23050, 159696, 16803, 120202, 23269, 5666, 48904, 49008, 42572, 33809, 1211, 4151, 6, 159696, 177282, 4838, 6293, 4838, 117902, 2442, 81414, 49597, 2882, 4, 2808, 33809, 1211, 1470, 75230, 4667, 81444, 37826, 1285, 49597, 9915, 29259, 35189, 39340, 6235, 506, 40096, 3069, 31467, 9934, 171433, 1211, 1470, 98071, 2442, 119055, 99766, 12, 2451, 4838, 79981, 6, 159696, 49209, 4151, 6, 97634, 4944, 16932, 32, 6, 64260, 22753, 13497, 1470, 98071, 2442, 95455, 4838, 364, 54260, 36419, 6, 2050, 174121, 5, 57277, 39340, 73095, 78683, 23269, 3069, 31467, 153585, 5, 215594, 133190, 4, 1470, 98071, 2442, 37826, 133190, 18583, 105235, 21295, 1285, 49597, 16175, 98071, 70598, 98071, 2882, 4151, 6, 95494, 36909, 4113, 5, 163139, 49597, 9934, 36326, 3523, 54260, 2882, 18225, 6, 23173, 29259, 1211, 32, 2451, 874, 98071, 2442, 151614, 148346, 1211, 1470, 75230, 2702, 8903, 506, 129071, 4838, 16175, 98071, 2442, 42572, 33809, 1211, 6319, 29766, 98071, 2648, 29766, 5, 2451, 36324, 75230, 27, 199145, 9934, 36326, 67882, 40920, 9934, 98071, 5332, 22426, 13159, 4, 6, 90848, 39293, 32, 5332, 36909, 16932, 18583, 240863, 12483, 9934, 98071, 4667, 3131, 75230, 1211, 4, 3523, 54260, 1211, 32, 2451, 133190, 38, 364, 29259, 13497, 98071, 39340, 115374, 27, 9934, 98071, 6, 236376, 125523, 220273, 7511 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 49597, 2882, 5, 220224, 235311, 94741, 4667, 7508, 174121, 159696, 1211, 1285, 49597, 6, 159696, 21295, 5, 119055, 12483, 151614, 148346, 1211, 220224, 9424, 29259, 2882, 32, 6, 101328, 4, 1470, 98071, 4852, 874, 37016, 75230, 4113, 4667, 1285, 49597, 3131, 97634, 6293, 4, 292, 37826, 1751, 75230, 1211, 3496, 48904, 20616, 76632, 4113, 6235, 119718, 39083, 2882, 6, 23173, 98071, 148346, 6093, 2932, 54260, 1211, 3069, 31467, 2050, 1470, 54260, 105405, 28726, 12984, 2808, 9416, 12483, 12, 292, 1285, 49597, 1751, 97634, 6293, 1470, 98071, 4852, 1751, 75230, 1211, 132025, 8903, 23847, 54260, 2882, 5, 3523, 98071, 2882, 4838, 6, 98055, 4838, 6293, 6, 48253, 98071, 78683, 159696, 2702, 5, 2451, 42493, 292, 37826, 23050, 4852, 29771, 13497, 1285, 49597, 9915, 29259, 35189, 39340, 5, 1285, 49597, 1751, 97634, 6293, 119055, 29060, 8248, 6, 57277, 39340, 26612, 6319, 33809, 4484, 160204, 4, 123736, 148346, 6093, 9934, 98071, 37826, 125523, 4838, 163139, 49597, 40920, 98071, 39340, 6, 170355, 4667, 3069, 31467, 4151, 8300, 54260, 67873, 12, 2451, 6, 64260, 4, 9934, 29771, 13497, 1470, 98071, 2442, 4, 1285, 49597, 6, 159696, 21295, 27, 1285, 49597, 6, 159696, 21295, 1470, 98071, 4852, 6, 57277, 39340, 4838, 6, 159696, 21295, 4, 123736, 148346, 6093, 64260, 37826, 9934, 98071, 4667, 67882, 142170, 21776, 2050, 6, 90848, 146873, 69452, 163139, 49597, 35189, 23050, 101296, 40920, 6, 47351, 4838, 148346, 99766, 5, 2451, 42572, 33809, 5666, 119718, 48904, 12483, 6, 238144, 16803, 1470, 98071, 2442, 95455, 6, 21106, 7611, 32, 2451, 42572, 33809, 5666, 119718, 48904, 12483, 1470, 98071, 4667, 6, 238144, 2702, 32, 1470, 98071, 4667, 6, 238144, 2702, 6, 21106, 7611, 5, 123736, 4, 1285, 49597, 1751, 97634, 6293, 1470, 98071, 4852, 6, 90848, 4667, 220273, 26612, 4269, 33809, 18415, 1751, 97634, 6293, 5, 6, 64260, 36324, 75230, 151614, 148346, 1470, 98071, 4667, 657, 98071, 148346, 4, 36324, 14856, 6, 48775, 63020, 9934, 98071, 4667, 3523, 98071, 2882, 9915, 29259, 35465, 7508, 5, 36909, 98071, 23405, 6093, 1470, 98071, 148346, 6093, 4838, 42572, 77188, 1644, 4838, 93509, 98071, 1211, 5, 221895, 6, 101470, 36324, 75230, 4, 36324, 8947, 1470, 98071, 4852, 6319, 54260, 2050, 7682, 75230, 2050, 27, 133190, 4269, 33809, 18415, 1751, 97634, 6293, 5, 119055, 33809, 37826, 1470, 98071, 2442, 95455, 6, 148346, 92605, 33809, 51723, 36324, 13845, 107581, 32, 37271, 21106, 7611, 6, 94741, 63020, 9934, 98071, 163139, 49597, 46053, 4, 1285, 49597, 6, 21106, 18415, 874, 75230, 2648, 155, 2451, 506, 64260, 4838, 6, 148346, 2442, 33809, 2050, 23050, 97634, 1211, 119055, 13845, 119718, 1644, 4, 46685, 3523, 98071, 2882, 199145, 8947, 1470, 98071, 4852, 1470, 98071, 2050, 3523, 98071, 2882, 6235, 147713, 1211, 1470, 98071, 1211, 6319, 137377, 6, 23173, 29259, 57619, 33809, 2865, 98071, 81829, 9934, 98071, 4667, 5, 29771, 148346, 6093, 3496, 48904, 20616, 76632, 4113, 1470, 98071, 4852, 6, 94741, 119718, 39340, 3069, 31467, 128750, 98071, 35465, 3069, 31467, 4151, 8300, 54260, 67873, 12, 36324, 3523, 64260, 37826, 1470, 98071, 45629, 33809, 36909, 59461, 98071, 40920, 4, 18583, 199145, 3523, 98071, 2882, 32, 2451, 95455, 1470, 98071, 4852, 42572, 33809, 1211, 1470, 33809, 16747, 168155, 1470, 54260 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8903, 119132, 6, 88660, 137377, 6093, 40096, 98071, 119718, 4, 292, 37826, 874, 98071, 2882, 48904, 98071, 159696, 2702, 2648, 98071, 38249, 1470, 33809, 1211, 620, 91595, 18583, 148346, 26612, 506, 186955, 65482, 2050, 43649, 39083, 7611, 3523, 98071, 2882, 6235, 101296, 40920, 6319, 29259, 1211, 159696, 56880, 4151, 36909, 33809, 1211, 3496, 48904, 20616, 76632, 4113, 4, 292, 1751, 97634, 6293, 1470, 98071, 4852, 6235, 3111, 31467, 2932, 4, 170479, 2882, 1470, 98071, 2442, 6, 57277, 39340, 193178, 7511, 49597, 2882, 3069, 31467, 19302, 54260, 1211, 4, 4151, 98071, 75290, 4, 3523, 98071, 2882, 18583, 128540, 27, 2451, 42542, 18225, 6, 23173, 137377, 101470, 4838, 874, 120467, 4, 1470, 75230, 148346, 36324, 75230, 32, 292, 1470, 98071, 1211, 1751, 75230, 1211, 17824, 54260, 2882, 8903, 159696, 1211, 1285, 9915, 29259, 35189, 39340, 3069, 31467, 3069, 31467, 186145, 28320, 3069, 31467, 4151, 6, 23173, 148346, 29060, 5, 2451, 4838, 119718, 93704, 4113, 4, 4838, 119718, 93704, 4113, 4, 2451, 506, 64260, 9934, 98071, 4667, 6235, 2808, 29259, 21295, 7508, 48904, 20616, 76632, 4113, 5, 2451, 1470, 98071, 8300, 16932, 4, 6, 128750, 54260, 2648, 109316, 4, 6319, 33809, 2050, 6428, 33809, 4838, 506, 6093, 4, 292, 37826, 9934, 98071, 4667, 120202, 61397, 33809, 152656, 1285, 3131, 5666, 29259, 35189, 39340, 3069, 31467, 4151, 611, 710, 29766, 98071, 75290, 6, 97634, 4944, 16932, 3496, 48904, 20616, 76632, 13159, 4, 199145, 1470, 98071, 4852, 125523, 21106, 7611, 6235, 39293, 46053, 1470, 98071, 1211, 163139, 49597, 177243, 42572, 33809, 1211, 43649, 33809, 148346, 4, 193042, 24621, 6, 148346, 29259, 2050, 1470, 75230, 119718, 1211, 4, 6, 23173, 29259, 23405, 29060, 68558, 1470, 98071, 1211, 26612, 6, 148346, 98071, 10813, 292, 6, 225975, 4, 163139, 49597, 36324, 75230, 170479, 1470, 98071, 4667, 1285, 49597, 2442, 193178, 12, 874, 98071, 2882, 6319, 33809, 2442, 26394, 6, 23173, 148346, 1644, 32, 6, 2050, 5, 21338, 48904, 8903, 32, 1470, 98071, 56169, 4269, 54260, 2882, 18225, 874, 98071, 2882, 657, 141847, 123073, 5, 2451, 6, 49268, 1470, 98071, 4852, 6, 21106, 8300, 54260, 16667, 4, 2451, 506, 64260, 23050, 4852, 29771, 13497, 6, 128750, 54260, 55546, 4, 3523, 98071, 2882, 120202, 2442, 29259, 2702, 16747, 98071, 4484, 9934, 98071, 4667, 36909, 33809, 1211, 6, 148346, 98071, 10813, 5, 1982, 48904, 20616, 76632, 4113, 12, 874, 98071, 2882, 1470, 98071, 2442, 1470, 98071, 4852, 3523, 98071, 97634, 199145, 3069, 31467, 7508, 54260, 35465, 5, 193042, 40920, 1470, 98071, 2442, 119718, 98071, 1285, 49597, 6, 87311, 20315, 1470, 98071, 4852, 5, 36324, 75230, 163139, 49597, 4838, 67882, 2932, 23269, 2882, 4, 6, 48775, 4944, 87311, 151227, 98071, 34709, 47351, 27, 3523, 98071, 2882, 6, 71577, 18250, 29259, 46053, 27, 36909, 33809, 1211, 1470, 98071, 2442, 9424, 98071, 46685, 1470, 98071, 4852, 874, 98071, 2882, 4838, 6235, 71804, 36419, 119132, 6, 240863, 6, 23173, 29259, 5666, 8903, 2932, 48904, 49008, 1285, 49597, 895, 16932, 4113, 6, 97634, 4944, 16932, 7508, 33809, 4944, 98071, 2050, 2808, 119718, 98071, 153222, 2702, 292, 6, 90848, 39293, 4, 123736, 148346, 6093, 1751, 75230, 1211, 3523, 98071, 2882, 7508, 33809, 15949, 64659, 29771, 119718, 98071, 48253, 4 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 133190, 1285, 49597, 14857, 98071, 7611, 292, 1285, 49597, 3523, 98071, 2882, 6, 71804, 23405, 3496, 59929, 65482, 23269, 506, 174121, 6, 97634, 4944, 16932, 6, 90848, 39293, 109636, 226112, 119718, 23269, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 5, 874, 98071, 28320, 6, 148346, 71804, 95564, 42572, 33809, 1211, 1470, 98071, 25207, 657, 98071, 40920, 98071, 39340, 4, 1470, 75230, 2702, 8903, 31249, 29771, 36909, 65482, 1470, 75230, 15388, 37826, 9934, 98071, 4838, 42572, 98071, 2442, 6235, 97634, 1211, 1470, 98071, 148346, 53414, 43649, 33809, 148346, 1470, 33809, 1211, 37826, 9934, 98071, 4667, 120202, 23269, 5, 105235, 21295, 4838, 6293, 3496, 48904, 20616, 76632, 12483, 4, 119055, 13845, 107581, 37826, 1470, 98071, 2442, 6235, 35596, 36909, 77188, 874, 98071, 2882, 4838, 9934, 48340, 5, 36909, 13845, 2882, 98071, 38249, 67882, 24621, 81829, 6, 148346, 1644, 98071, 4484, 12, 2451, 6, 148346, 98071, 16803, 1751, 75230, 1211, 1470, 33809, 36909, 8903, 3131, 57277, 49008, 4, 6, 97634, 4944, 16932, 32, 199145, 151614, 16803, 33809, 9934, 98071, 4667, 3069, 8903, 2808, 29259, 21295, 32, 2451, 36324, 75230, 4, 8947, 620, 29771, 159212, 9934, 98071, 4667, 3523, 98071, 2882, 4, 292, 37826, 6235, 225975, 2882, 6, 90848, 39293, 4, 163139, 49597, 4838, 6, 76776, 16803, 36909, 33809, 1211, 133190, 6, 47351, 4838, 83182, 6, 159696, 21295, 4838, 6235, 4484, 33809, 2865, 65482, 12, 292, 6, 148346, 29766, 98071, 2702, 1470, 98071, 4852, 6, 128750, 98071, 4838, 159696, 4484, 1470, 98071, 1211, 2808, 33809, 88660, 2050, 5, 874, 98071, 16803, 64260, 4113, 119055, 29060, 7369, 9934, 98071, 4667, 364, 29259, 13497, 6, 148346, 26612, 8300, 29259, 2882, 16667, 1470, 33809, 74813, 53414, 5, 6, 94741, 63020, 18225, 104149, 4, 4151, 874, 98071, 2882, 98071, 4484, 170479, 3523, 98071, 2882, 18583, 3131, 109636, 2882, 98071, 38249, 5, 2648, 98071, 9915, 29259, 35189, 39340, 37826, 1751, 119718, 29259, 2932, 16747, 98071, 4484, 6235, 119718, 23173, 2882, 4, 123736, 148346, 6093, 9934, 98071, 37826, 1751, 75230, 1211, 6235, 119718, 33809, 16803, 4, 36324, 6, 148346, 21106, 2648, 119055, 29060, 9934, 98071, 7508, 54260, 35465, 5, 4151, 9915, 29259, 35189, 39340, 37826, 1751, 75230, 1211, 6, 71804, 23405, 6235, 148346, 2442, 35596, 4, 199145, 4838, 16175, 54260, 1644, 42572, 33809, 1211, 1470, 98071, 25207, 3496, 59929, 65482, 148346, 2932, 142429, 98071, 2050, 37826, 9934, 98071, 4667, 6, 90848, 39293, 6235, 5666, 54260, 2882, 148346, 26612, 1470, 98071, 2442, 192183, 4484, 33809, 2442, 35596, 39340, 4, 7508, 6093, 9424, 238144, 16932, 4269, 33809, 16932, 9915, 29259, 35189, 39340, 1470, 98071, 1211, 43649, 64260, 5, 2808, 2808, 98071, 4852, 163139, 49597, 133190, 4151, 10498, 33809, 13159, 9424, 119718, 98071, 81829, 4151, 67882, 51723, 874, 98071, 2882, 4151, 6, 97634, 4944, 16932, 1470, 98071, 74004, 98071, 148346, 6093, 61397, 98071, 46053, 6235, 119718, 29766, 1211, 4, 37826, 9934, 98071, 34076, 29259, 4667, 6, 23173, 29259, 5666, 190135, 1470, 98071, 2442, 119055, 99766, 12, 2451, 6, 90848, 39293, 6, 109636, 226112, 119718, 23269, 4, 1470, 98071, 2442, 119055, 29060, 9934, 98071, 4667, 6319, 54260, 1211, 6, 170355, 4667, 3523, 98071, 2882, 3523, 54260, 12483, 4838, 6293, 41764, 54260, 36419, 4667, 5, 23173 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1470, 29259, 6093, 42572, 98071, 2932, 33809, 2442, 1470, 98071, 4852, 36324, 75230, 4269, 33809, 2882, 3069, 31467, 3523, 54260, 12483, 5, 2451, 3523, 54260, 1211, 4, 2451, 506, 64260, 9934, 98071, 4667, 874, 98071, 2882, 1470, 98071, 2442, 4269, 48904, 89930, 620, 48904, 75290, 42572, 98071, 2932, 33809, 2442, 6, 90848, 39293, 4838, 6, 75290, 23269, 97634, 1211, 3069, 31467, 7508, 6093, 9915, 29259, 35189, 39340, 4, 292, 1470, 98071, 4667, 119055, 13845, 9934, 98071, 4667, 1470, 98071, 8300, 16932, 6319, 54260, 1211, 6, 170355, 4667, 3523, 98071, 2882, 5666, 54260, 12483, 5, 6, 148346, 26612, 874, 98071, 2442, 1470, 98071, 4852, 41764, 54260, 36419, 4667, 4838, 121193, 71577, 6093, 6, 101328, 194734, 119718, 5, 1982, 48904, 20616, 76632, 4113, 12, 163139, 49597, 6, 71804, 23405, 37826, 9934, 98071, 9934, 98071, 4667, 6235, 5666, 54260, 2882, 4, 125523, 3523, 98071, 97634, 6319, 29259, 1211, 42572, 98071, 68697, 23173, 29771, 3131, 98071, 2050, 5, 8947, 42572, 13845, 2882, 1470, 98071, 2442, 3523, 98071, 2882, 6, 148346, 29766, 4113, 4944, 26612, 36326, 2050, 4, 199145, 132025, 8300, 33809, 97634, 1211, 5, 90848, 39293, 12, 8947, 3523, 54260, 2882, 3523, 98071, 2882, 1470, 98071, 1211, 10676, 4, 133190, 6, 148346, 13159, 6093, 119055, 13845, 1470, 98071, 4667, 95455, 120202, 1644, 54260, 49209, 26612, 6293, 1751, 109636, 16932, 5, 3131, 5666, 29259, 35189, 39340, 12, 6, 23173, 7508, 40096, 5666, 21660, 29259, 2882, 32, 2451, 7508, 33809, 159212, 8947, 163139, 49597, 1470, 98071, 2442, 163139, 49597, 21295, 5, 1470, 98071, 4667, 119055, 13845, 4838, 6293, 6, 94741, 153222, 874, 98071, 2702, 97634, 24621, 220273, 7511, 49597, 2882, 207748, 1211, 5, 39293, 2882, 81444, 4667, 1751, 75230, 1211, 1285, 49597, 9915, 29259, 35189, 39340, 4, 6, 47351, 2181, 1470, 98071, 4852, 220273, 3523, 98071, 2882, 163139, 49597, 40920, 98071, 4484, 4, 199145, 90848, 39293, 1470, 98071, 4852, 6, 23173, 29259, 1211, 1470, 98071, 1211, 1285, 49597, 42572, 16870, 53414, 4, 4838, 148346, 98071, 9934, 98071, 1470, 98071, 4852, 17824, 54260, 2882, 3069, 31467, 10498, 33809, 13159, 1211, 4, 163139, 49597, 148932, 221895, 4231, 33809, 5666, 8903, 119055, 29259, 148346, 1644, 1470, 98071, 1211, 43649, 64260, 4, 37826, 9934, 98071, 6, 190135, 4838, 148346, 98071, 35044, 364, 54260, 2865, 98071, 86733, 1285, 49597, 42572, 48775, 8903, 12, 2451, 163139, 49597, 9934, 36326, 54745, 1211, 32, 1470, 98071, 2442, 6319, 35596, 54745, 1211, 120202, 4852, 98071, 64213, 4838, 4269, 48904, 64213, 8248, 31467, 46685, 1470, 98071, 1211, 43649, 40096, 32, 2451, 4838, 119718, 93704, 4113, 3523, 98071, 2882, 5, 3069, 31467, 199145, 32, 292, 37826, 6, 90848, 39293, 3523, 98071, 2882, 6235, 4484, 33809, 20911, 4838, 6293, 6, 21106, 7611, 4, 6, 61397, 29060, 3069, 31467, 7508, 6093, 9915, 29259, 35189, 39340, 4, 163139, 49597, 4838, 34076, 29259, 107581, 3069, 31467, 4838, 34076, 29259, 107581, 292, 1470, 98071, 4667, 119055, 13845, 6235, 119718, 98071, 101608, 8903, 7611, 207748, 1211, 4838, 6293, 8248, 31467, 46685, 5, 2451, 119055, 33809, 506, 98071, 1211, 4, 6, 90848, 39293, 6, 109636, 226112, 119718, 23269, 32, 2451, 1470, 98071, 2442, 6, 238144, 16803, 3523, 98071, 2882, 4, 119055, 33809, 506, 98071, 1211, 8947 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 207748, 1211, 18583, 84577, 119718, 101503, 192956, 4838, 6293, 8248, 31467, 46685, 32, 2451, 1470, 98071, 4667, 151614, 148346, 6, 57277, 39340, 36324, 75230, 18583, 3131, 57277, 49008, 2451, 506, 64260, 9934, 98071, 4667, 1285, 49597, 9915, 29259, 35189, 39340, 6235, 2808, 29259, 21295, 3069, 31467, 18583, 98071, 40920, 1211, 1470, 98071, 2442, 6428, 33809, 2442, 4944, 36909, 21106, 4, 199145, 9934, 98071, 1470, 98071, 4852, 81444, 6428, 33809, 2442, 4944, 8903, 36909, 21106, 1211, 2451, 2808, 98071, 4852, 8903, 4852, 33809, 13497, 170479, 2882, 1470, 98071, 2442, 153585, 4, 6, 90848, 39293, 6, 109636, 226112, 119718, 23269, 4, 119055, 33809, 506, 98071, 1211, 19302, 77188, 1470, 98071, 2442, 3069, 31467, 207748, 1211, 26612, 6293, 8248, 31467, 46685, 12, 1470, 98071, 1211, 46050, 49597, 2050, 4, 1470, 98071, 1211, 6, 78683, 119718, 78683, 4852, 4, 9424, 98071, 5332, 36909, 86733, 133190, 1470, 98071, 1211, 1470, 75230, 2702, 212394, 32, 2451, 95455, 151614, 148346, 1470, 98071, 4667, 125523, 3523, 98071, 2882, 6, 148346, 26612, 31249, 120467, 1211, 5, 8947, 119055, 141943, 2882, 9934, 98071, 4667, 6, 68558, 874, 29259, 1211, 6, 212915, 4, 119718, 33809, 506, 98071, 1211, 7369, 119055, 29060, 874, 98071, 4667, 1751, 98071, 38249, 5, 2451, 7369, 119055, 29060, 1470, 29259, 4667, 1751, 75230, 1211, 1751, 98071, 38249, 1470, 98071, 1211, 4838, 4269, 33809, 28320, 6, 99766, 4, 4151, 98071, 1211, 6, 148346, 98071, 1211, 1470, 98071, 4667, 9934, 98071, 75578, 5, 2451, 506, 64260, 9934, 98071, 4667, 6, 21106, 5666, 36909, 21106, 2702, 1285, 49597, 9915, 29259, 35189, 39340, 6235, 2808, 29259, 21295, 3069, 31467, 18583, 119718, 23173, 152656, 1470, 98071, 2442, 88660, 2865, 22426, 1644, 98071, 96302, 12, 5332, 36909, 86733, 119055, 29060, 1470, 98071, 2442, 207748, 2882, 6, 195054, 98071, 183216, 1470, 33809, 69708, 33809, 75290, 1211, 1285, 49597, 18583, 1644, 29766, 65482, 6319, 33809, 16747, 95494, 159212, 32, 2808, 33809, 1211, 6319, 16870, 54260, 3069, 31467, 18583, 4852, 98071, 104238, 1211, 9934, 98071, 4667, 42572, 33809, 1211, 76961, 178748, 192956, 9934, 29259, 28320, 4, 37826, 9934, 98071, 1470, 75230, 4667, 26612, 6, 225975, 6235, 97634, 1211, 1470, 98071, 1211, 3496, 48904, 20616, 76632, 13159, 9934, 29259, 2882, 12, 2451, 6319, 54260, 5666, 48904, 29766, 29060, 126968, 3523, 98071, 2882, 4, 1470, 98071, 2442, 37826, 4151, 28726, 148346, 2882, 6, 76776, 4944, 13159, 42572, 33809, 1211, 1470, 29259, 6093, 97634, 4944, 16932, 5, 193042, 48775, 30109, 59929, 26612, 119718, 98071, 26394, 9934, 98071, 1470, 98071, 4852, 6235, 119718, 29766, 1211, 38, 215031, 119055, 29259, 148346, 109316, 1470, 98071, 4852, 81444, 4667, 26612, 9424, 98071, 2442, 33809, 23405, 1470, 98071, 1211, 43649, 33809, 148346, 5, 1197, 2808, 33809, 1211, 19302, 75230, 46685, 29659, 67882, 30741, 2648, 98071, 4484, 42572, 33809, 1211, 6, 90848, 104149, 4838, 3373, 142429, 4, 36324, 75230, 163139, 49597, 9934, 98071, 119055, 39083, 2882, 220273, 7511, 49597, 2882, 153585, 4151, 148346, 29259, 4, 37826, 9934, 98071, 1470, 98071, 83182, 29659, 98071, 1644, 3069, 31467, 5666, 65482, 148346, 1211, 1470, 98071, 1211, 3496, 48904, 20616, 76632, 46598, 9934, 29259, 2882, 12, 2451, 1470, 98071, 2442, 6319, 35596, 1470, 98071, 2050, 1751, 75230, 1211, 32, 199145, 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 ]
[ 98071, 4852, 7369, 18583, 4838, 115556, 32, 2451, 42572, 33809, 5666, 119718, 48904, 12483, 170479, 1470, 98071, 4667, 1470, 98071, 2050, 51678, 32, 215031, 115556, 27, 199145, 37826, 7369, 2865, 98071, 2882, 1470, 33809, 16747, 4852, 3069, 31467, 7508, 54260, 35465, 27, 90848, 39293, 37826, 4838, 10498, 54260, 10813, 6235, 97634, 1211, 42572, 33809, 5666, 75230, 148346, 1211, 6, 23173, 137377, 2451, 36909, 99766, 42542, 9934, 98071, 4667, 1285, 49597, 3131, 5666, 29259, 35189, 39340, 3069, 31467, 1470, 98071, 2442, 3523, 98071, 2882, 34076, 29259, 12984, 2451, 2808, 33809, 1211, 41764, 33809, 185226, 163139, 49597, 9934, 98071, 119055, 39083, 2882, 6, 57277, 39340, 6319, 54260, 1211, 6, 170355, 4667, 7511, 49597, 2882, 221387, 4, 37826, 9934, 98071, 74806, 2865, 33809, 119273, 220273, 874, 98071, 2882, 119055, 13845, 119718, 1644, 12483, 5, 2451, 55242, 4, 193042, 48775, 4269, 33809, 16932, 6, 212484, 33809, 23405, 38, 6, 148346, 29766, 98071, 2702, 119055, 29060, 6319, 33809, 51723, 4, 119055, 13845, 1470, 98071, 4667, 1470, 98071, 2050, 148346, 213783, 4838, 6319, 33809, 4484, 160204, 5, 29771, 148346, 6093, 3496, 48904, 20616, 76632, 12483, 37826, 6, 61397, 33809, 109636, 2882, 6, 159696, 15388, 4151, 6, 97634, 4944, 16932, 4, 199145, 6, 148346, 26612, 2808, 98071, 2442, 1470, 98071, 4852, 6428, 99766, 1211, 4, 119055, 29259, 4852, 2882, 1470, 75230, 2702, 4, 5332, 22426, 13159, 3523, 98071, 2882, 34076, 40096, 98071, 4484, 874, 98071, 28320, 6, 212915, 5, 1470, 33809, 1211, 6319, 39083, 4852, 212915, 2648, 98071, 9915, 29259, 35189, 39340, 37826, 6235, 234221, 1470, 98071, 1211, 3069, 31467, 3131, 5666, 29259, 35465, 4, 37826, 9934, 98071, 6235, 119718, 39083, 2882, 9934, 98071, 4667, 35189, 119718, 98071, 46053, 12, 2451, 199145, 1470, 98071, 4852, 6428, 99766, 1211, 6235, 159696, 1211, 6, 148346, 26612, 1470, 29259, 4667, 3523, 91595, 1211, 32, 1470, 98071, 148346, 6093, 61397, 29060, 9934, 98071, 4667, 32, 2451, 9934, 29766, 2932, 3523, 98071, 2882, 4, 6, 57277, 24621, 2451, 2865, 98071, 61621, 6428, 33809, 2442, 4944, 4484, 33809, 51723, 5, 2808, 33809, 1211, 874, 98071, 2882, 207748, 4852, 98071, 40920, 98071, 38249, 1470, 33809, 1211, 42572, 98071, 1644, 148346, 93704, 29259, 2882, 16747, 98071, 38249, 6, 240863, 1470, 98071, 4852, 9934, 98071, 3069, 31467, 2442, 98071, 4484, 4838, 159696, 4484, 8300, 33809, 9934, 98071, 4667, 1470, 98071, 1211, 9424, 98071, 46685, 12, 199145, 9934, 36326, 54745, 1211, 4, 22753, 6, 159696, 67873, 3523, 98071, 2882, 6428, 33809, 2442, 4944, 4484, 33809, 51723, 32, 9934, 98071, 37826, 3131, 75230, 1211, 6, 148346, 26612, 1470, 98071, 2050, 4, 3523, 98071, 3131, 88660, 36326, 4, 1470, 75230, 2702, 8903, 36909, 98071, 33716, 6, 59929, 26612, 4667, 6, 170355, 12984, 4, 119055, 29060, 9934, 98071, 1470, 75230, 2702, 36909, 98071, 61621, 1470, 75230, 4667, 2648, 120467, 1470, 98071, 148346, 6093, 98071, 39340, 5, 199145, 6, 94741, 63020, 18225, 54745, 1211, 4838, 163139, 49597, 40920, 98071, 75290, 4113, 6, 170355, 4667, 4, 163139, 49597, 1285, 49597, 67882, 21292, 63593, 98071, 2882, 4151, 6, 23173, 148346, 29060, 32, 6, 64260, 3523, 54260, 2882, 4838, 166464, 6, 148346, 26612, 4269, 64260, 4, 76961, 132025, 190135, 4113, 9934, 98071, 64213, 2808, 98071, 1211 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1285, 49597, 6, 48904, 29659, 186955, 1211, 1470, 33809, 1211, 1751, 119718, 98071, 64213, 6, 148346, 26612, 4151, 6, 23173, 148346, 29060, 5, 163139, 49597, 6, 71804, 23405, 1470, 98071, 4852, 125523, 6, 90848, 39293, 21106, 54260, 1211, 6235, 159696, 1211, 4838, 67882, 3131, 98071, 7511, 49597, 16803, 39340, 4, 1470, 33809, 1211, 37826, 4838, 4269, 48904, 64213, 166464, 6235, 506, 40096, 1470, 54260, 1211, 6, 23173, 5, 148346, 29060, 12, 120202, 8300, 33809, 21733, 71577, 1211, 9934, 98071, 4667, 1285, 49597, 42572, 98071, 23405, 6093, 5, 163139, 49597, 6, 71804, 23405, 4, 6, 94741, 40920, 9934, 98071, 4667, 4, 1470, 98071, 4852, 95455, 6235, 159696, 1211, 12, 171433, 506, 75230, 148346, 163139, 49597, 13497, 6093, 193042, 4944, 92605, 1644, 5, 1470, 98071, 56169, 1470, 98071, 4852, 9934, 12, 4838, 6, 128750, 75230, 3069, 31467, 6, 128750, 75230, 12483, 34076, 29259, 4667, 4, 1470, 33809, 1211, 506, 64260, 9934, 98071, 4667, 3523, 98071, 2882, 199145, 3069, 31467, 27855, 51723, 18583, 76961, 18583, 84577, 119718, 101503, 192956, 119055, 29259, 148346, 6093, 12, 9934, 98071, 506, 64260, 9424, 29259, 2882, 3069, 31467, 145813, 26612, 10918, 49597, 61621, 4, 9934, 98071, 42542, 6, 23173, 29259, 23405, 54260, 1211, 3069, 31467, 23050, 16803, 27, 9934, 98071, 37826, 9934, 98071, 4667, 220273, 165592, 75230, 3523, 98071, 2882, 23050, 506, 29771, 20315, 159696, 2050, 4, 9934, 98071, 170479, 4838, 4269, 48904, 64213, 166464, 235311, 6, 23173, 148346, 213783, 4, 163139, 49597, 4838, 3131, 119718, 23173, 8300, 23173, 148346, 4113, 16932, 7369, 8903, 7611, 5, 2451, 55242, 133190, 4, 6, 90848, 39293, 4, 119055, 6093, 8947, 1470, 98071, 4852, 6235, 4484, 33809, 51723, 2451, 506, 64260, 874, 98071, 2882, 4838, 117902, 2442, 1751, 29771, 3131, 109636, 16932, 7508, 48904, 20616, 76632, 4113, 6, 23173, 29259, 23405, 174798, 98071, 12483, 3069, 31467, 6, 90848, 104149, 6428, 33809, 2442, 12984, 6, 159696, 177282, 12, 14856, 47526, 1470, 98071, 4852, 8903, 4484, 33809, 51723, 38, 41764, 54260, 36419, 4667, 37826, 6, 57277, 39340, 23050, 4852, 29771, 13497, 2451, 506, 64260, 9934, 98071, 6, 61397, 29060, 1751, 75230, 1211, 3069, 31467, 874, 141943, 5, 1644, 12483, 2451, 165592, 6319, 75230, 2050, 1470, 98071, 4852, 3523, 98071, 97634, 42572, 33809, 1211, 1285, 49597, 2442, 6319, 29259, 1211, 6, 148346, 2442, 98071, 119718, 4, 874, 33809, 4852, 2882, 33809, 6319, 33809, 51723, 5, 199145, 67882, 4944, 16803, 33809, 4, 24621, 47526, 32, 29771, 148346, 6093, 6, 90848, 39293, 37826, 1470, 98071, 2050, 34076, 29259, 104238, 6, 61397, 33809, 152656, 3069, 31467, 9934, 98071, 4667, 1470, 98071, 1211, 9424, 98071, 46685, 6, 23173, 29259, 1211, 12, 2451, 6319, 33809, 2050, 6, 23173, 29259, 1211, 3069, 31467, 874, 98071, 2442, 4, 14856, 47526, 5, 6428, 33809, 2442, 12984, 6319, 29766, 98071, 2648, 29766, 27, 2451, 55242, 133190, 4, 1470, 98071, 1211, 874, 98071, 28320, 166464, 6, 148346, 98071, 16803, 33809, 133190, 1470, 98071, 83182, 506, 54260, 2050, 32, 37826, 9934, 98071, 4667, 18583, 5, 119718, 33809, 83182, 2882, 4151, 6, 100863, 98071, 2648, 3131, 159696, 82576, 4484, 98071, 16747, 6, 90848, 4852, 13159, 1470, 33809, 1211, 1285, 49597, 198754, 4113, 364, 84577, 42572, 33809, 1211, 1470, 98071 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 33716, 40096, 1211, 4, 14856, 47526, 6, 148346, 2442, 29766, 64310, 49597, 4, 199145, 1470, 98071, 4852, 125523, 132025, 506, 75230, 148346, 163139, 49597, 13497, 6093, 6, 23173, 98071, 148346, 6093, 8903, 5016, 36909, 29766, 1211, 42572, 33809, 1211, 6, 148346, 2442, 33809, 7511, 49597, 1211, 1470, 98071, 1211, 6, 105235, 21338, 173102, 98071, 20260, 4113, 6, 57277, 39340, 3069, 31467, 1644, 98071, 148346, 1285, 49597, 119055, 92605, 2702, 16747, 98071, 39340, 23050, 36326, 36909, 15289, 42572, 33809, 1211, 6, 212394, 119718, 98071, 33716, 88660, 137377, 4, 2451, 2808, 33809, 1211, 119055, 6093, 1470, 98071, 4852, 4838, 6293, 4151, 43649, 109316, 32, 2451, 3523, 98071, 97634, 6, 75322, 39083, 98071, 39340, 6, 101328, 25207, 44779, 4, 14856, 47526, 2451, 506, 64260, 1470, 98071, 2050, 6, 90848, 39293, 6235, 3111, 31467, 51723, 2808, 75230, 2702, 35189, 8300, 54260, 67873, 1470, 98071, 25207, 3523, 29259, 2702, 2451, 2808, 98071, 4667, 6, 23173, 148346, 29060, 3523, 98071, 2882, 5, 1751, 75230, 1211, 5332, 36909, 86733, 42572, 98071, 2442, 3496, 93704, 171433, 98071, 2050, 5, 23050, 3111, 31467, 5666, 18583, 874, 98071, 2442, 5, 2451, 199145, 32, 163139, 49597, 36324, 75230, 32, 18583, 4484, 98071, 29025, 2882, 32, 2451, 199145, 5332, 22426, 13159, 18583, 4484, 98071, 29025, 2882, 32, 2451, 506, 64260, 6, 90848, 104149, 133190, 3523, 98071, 2882, 23050, 22426, 59929, 2882, 215031, 6235, 94741, 20260, 4, 199145, 37922, 98071, 64213, 42542, 1470, 29259, 5666, 36909, 21106, 1211, 6, 159696, 15388, 1470, 98071, 2442, 2451, 165592, 13845, 107581, 163139, 49597, 1470, 98071, 4667, 18583, 4484, 98071, 29025, 2882, 18225, 3523, 98071, 2882, 5, 2451, 4838, 506, 26612, 38, 2451, 2808, 98071, 4852, 14856, 47526, 6, 238144, 7511, 49597, 4484, 199145, 3523, 98071, 2702, 204403, 13845, 23050, 119718, 29766, 1211, 42572, 33809, 1211, 1470, 98071, 2442, 97995, 75230, 95564, 29259, 2882, 2451, 4113, 36909, 86733, 51678, 1751, 75230, 1211, 220273, 116486, 80885, 115374, 874, 98071, 2882, 7508, 98071, 2442, 3523, 98071, 2882, 7508, 54260, 35465, 32, 2451, 7508, 54260, 35465, 42542, 18225, 4, 123736, 148346, 6093, 2181, 119055, 141943, 2882, 7746, 163139, 49597, 36324, 75230, 5, 2451, 36324, 75230, 133190, 32, 3523, 33809, 4, 9934, 36326, 119055, 33809, 6, 80453, 98071, 4, 67882, 94741, 2050, 5, 199145, 9934, 36326, 6, 225975, 2882, 6428, 29259, 1211, 6, 212915, 23173, 10676, 4, 199145, 6428, 33809, 151614, 16803, 1470, 33809, 36909, 23269, 506, 77188, 3069, 31467, 6, 23173, 148346, 213783, 32, 2451, 7369, 18583, 3131, 22426, 23173, 2882, 3069, 31467, 6, 225975, 1211, 5, 4151, 81444, 4484, 16932, 6, 225975, 2882, 27, 2451, 199145, 9934, 29771, 13497, 4151, 81444, 4484, 16932, 32, 2451, 7369, 6, 225975, 2882, 12, 2181, 1470, 98071, 4852, 34076, 29259, 104238, 4, 1470, 98071, 4667, 170479, 3523, 98071, 2882, 6, 23173, 148346, 213783, 5, 2451, 151614, 16803, 4838, 4269, 33809, 18415, 67882, 90848, 107581, 4, 6, 90848, 39293, 2882, 126968, 5, 8947, 170479, 9934, 98071, 4667, 133190, 3523, 98071, 2882, 36909, 23173, 29259, 46053, 5, 1285, 49597, 224220, 33809, 7511, 49597, 119364, 4, 6428, 23173, 36909, 16803, 33809, 163139, 49597, 46053, 4, 1470, 98071, 4852, 4838, 42572, 39083, 4484, 27, 874, 98071, 2882, 220224, 6 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 48775, 63020, 51723, 153585, 207748, 4852, 98071, 40920, 98071, 4484, 5, 2451, 22518, 37016, 874, 98071, 4667, 3523, 98071, 2882, 4, 14856, 47526, 5, 1470, 98071, 4667, 119055, 13845, 9934, 98071, 4667, 6, 148346, 26612, 2932, 54260, 1211, 5, 2451, 1470, 33809, 1211, 199145, 67882, 40920, 7369, 4, 4151, 49920, 23050, 2865, 21106, 32, 2451, 6428, 33809, 874, 54260, 16667, 2882, 4, 1470, 98071, 4667, 55242, 1470, 98071, 2050, 6, 59929, 26612, 4667, 32, 90848, 39293, 37826, 1751, 75230, 1211, 220273, 18583, 8903, 46053, 6, 68558, 4151, 132025, 5666, 21660, 75230, 5666, 20260, 29259, 2882, 4, 119055, 59929, 9934, 98071, 94741, 63020, 1470, 75230, 2702, 234221, 6, 147713, 2808, 148346, 4113, 4151, 7508, 39083, 4, 199145, 9934, 98071, 145813, 98071, 21295, 4838, 75386, 4838, 18583, 84577, 119718, 101503, 192956, 6, 128750, 75230, 4, 1470, 33809, 1211, 6, 64260, 37826, 9934, 98071, 1751, 75230, 1211, 163139, 49597, 35189, 59461, 29060, 874, 98071, 2882, 1470, 98071, 2442, 6235, 238144, 13497, 28726, 18406, 1470, 33809, 1211, 18583, 1470, 98071, 2442, 3523, 40096, 98071, 2442, 28726, 18406, 160204, 12, 2451, 6, 64260, 1470, 98071, 4852, 7369, 133190, 199145, 6235, 4484, 33809, 51723, 42572, 33809, 1211, 1470, 75230, 48350, 2648, 4, 6, 94741, 40920, 874, 98071, 2442, 4, 7369, 19302, 29259, 148346, 2882, 4852, 98071, 4667, 1751, 75230, 1211, 163139, 49597, 35189, 4, 1470, 33809, 1211, 36324, 7369, 6319, 33809, 63532, 4838, 506, 54260, 2050, 4, 657, 98071, 13497, 7369, 1470, 75230, 4667, 120202, 6, 119859, 57619, 65482, 18415, 2932, 1470, 98071, 1211, 105884, 92605, 10918, 49597, 4113, 1470, 33809, 1211, 1470, 98071, 1211, 1470, 33809, 88660, 2050, 5, 36324, 7369, 3523, 54260, 2882, 4838, 159696, 4484, 4, 620, 29771, 6293, 1470, 98071, 4667, 125523, 2451, 151614, 16803, 4838, 6, 148346, 92605, 159696, 51723, 6, 212915, 4, 6, 90848, 39293, 2882, 126968, 5, 119055, 39083, 16803, 874, 98071, 2442, 3496, 64260, 3131, 6, 148346, 93704, 23173, 159212, 3523, 33809, 2882, 120202, 94741, 20260, 12483, 4151, 36909, 23173, 5, 119055, 12483, 1470, 98071, 4667, 207748, 6, 48775, 17017, 16803, 3523, 98071, 2882, 1470, 98071, 148346, 6093, 6319, 29259, 1211, 78683, 2865, 98071, 20260, 4113, 1470, 33809, 1211, 6, 212484, 3523, 98071, 2882, 6, 128750, 29259, 10676, 9424, 98071, 46685, 4, 199145, 119055, 39083, 2882, 6235, 159696, 1211, 32, 2451, 1470, 75230, 148346, 6428, 48904, 165354, 4, 6, 94741, 63020, 1470, 98071, 4667, 10676, 6, 212394, 119718, 54196, 88660, 137377, 4, 199145, 37826, 7508, 98071, 4667, 26612, 506, 98071, 1211, 4838, 159696, 4484, 23269, 3131, 98071, 20911, 5, 2451, 1470, 33809, 1211, 119055, 6093, 1470, 98071, 1211, 7508, 6093, 6, 212394, 119718, 98071, 33716, 88660, 137377, 4, 1470, 75230, 148346, 3523, 98071, 2882, 1470, 98071, 4667, 874, 98071, 2882, 6428, 29259, 1211, 6, 57277, 28320, 32, 2451, 1470, 98071, 4667, 6, 238144, 2702, 4, 874, 141943, 109316, 4, 36324, 6428, 33809, 6, 148346, 98071, 16803, 4838, 6, 148346, 6093, 17645, 4, 1470, 98071, 4667, 6, 238144, 2702, 5, 123736, 148346, 6093, 9424, 98071, 2865, 54260, 16667, 2882, 33809, 6, 148346, 4113, 63593, 13159, 4, 36324, 4151, 4269, 48904, 89930, 6319, 75230, 4113, 4667, 43649, 87442, 133190, 1470, 98071, 1211 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9424, 98071, 16932, 4, 1470, 33809, 1211, 2808, 98071, 4667, 6, 21106, 54260, 1211, 6, 148346, 98071, 1211, 1751, 75230, 1211, 220273, 7511, 49597, 29659, 32, 6460, 2451, 3496, 59929, 159696, 113889, 28726, 2050, 4, 1470, 98071, 4667, 874, 54260, 1211, 95455, 3523, 98071, 2882, 4, 6, 90848, 39293, 2882, 126968, 2451, 506, 64260, 7746, 119055, 6093, 238144, 2702, 3069, 31467, 1644, 98071, 148346, 199145, 120202, 8903, 4852, 98071, 36909, 56169, 14856, 47526, 2451, 2808, 98071, 4667, 6, 238144, 2702, 18583, 75290, 2882, 4, 36324, 1470, 98071, 1211, 2648, 29259, 1211, 42572, 13845, 4151, 364, 98071, 13497, 98071, 86733, 4, 151614, 148346, 6319, 29259, 1211, 18583, 98071, 148346, 1644, 3523, 98071, 29659, 4, 6, 90848, 39293, 2882, 126968, 4, 18583, 1211, 2808, 75230, 92904, 98071, 4484, 4, 2451, 105235, 20911, 220273, 4838, 17824, 75230, 101608, 6319, 75230, 4113, 4667, 5, 199145, 170479, 1470, 98071, 4667, 1285, 49597, 2442, 6, 225975, 1211, 4, 5332, 1982, 10918, 49597, 2882, 4, 163139, 49597, 4838, 67882, 2932, 23269, 2882, 5, 2451, 564, 54260, 28726, 4, 6428, 33809, 178748, 16803, 7508, 54260, 35465, 2451, 506, 64260, 6, 90848, 39293, 4838, 67882, 4667, 6235, 97634, 1211, 874, 98071, 2882, 21776, 17800, 84577, 2451, 2648, 98071, 4667, 119055, 13845, 1470, 98071, 4667, 1751, 75230, 1211, 3523, 98071, 2882, 1470, 98071, 148346, 6093, 101296, 12984, 5, 123736, 148346, 6093, 6, 225975, 874, 98071, 2442, 10676, 5332, 24621, 1982, 4, 24621, 47526, 4, 1285, 49597, 4667, 9424, 98071, 2882, 1470, 75230, 4667, 32, 2451, 8947, 9424, 98071, 2882, 4, 6, 90848, 39293, 46545, 4113, 4, 8947, 9424, 98071, 2882, 2451, 506, 64260, 11265, 95455, 14856, 47526, 6, 148346, 26612, 119718, 98071, 56880, 119859, 49209, 6, 148346, 26612, 3131, 54260, 5666, 149364, 44779, 4, 6235, 148346, 16747, 98071, 4484, 9934, 98071, 4838, 9424, 98071, 3069, 31467, 9934, 98071, 4667, 874, 98071, 2882, 194885, 7508, 75230, 18415, 30109, 4113, 159212, 98071, 39340, 364, 35596, 5, 2451, 3523, 54260, 4, 4269, 54260, 4838, 159696, 4484, 2451, 506, 64260, 1470, 98071, 2050, 6, 90848, 39293, 3069, 31467, 128750, 98071, 35465, 4838, 43649, 75230, 2702, 6235, 97634, 1211, 24464, 4852, 98071, 4667, 2451, 2808, 98071, 4852, 1470, 75230, 101608, 4151, 42572, 13845, 4, 163139, 49597, 6428, 33809, 6, 225975, 16803, 4, 151614, 16803, 33809, 1470, 98071, 1211, 874, 98071, 2442, 6319, 54260, 1211, 6, 170355, 4667, 7511, 49597, 2882, 6235, 36909, 33809, 49008, 32, 2451, 119055, 29259, 16932, 4, 6, 90848, 39293, 2882, 126968, 4, 6, 148346, 98071, 16667, 2882, 33809, 4838, 874, 75322, 168155, 5, 123736, 148346, 6093, 95455, 1470, 98071, 4852, 1751, 75230, 1211, 4838, 63188, 33809, 36326, 170355, 4667, 5, 4838, 42572, 75322, 98071, 1644, 98071, 4113, 215031, 5, 2451, 874, 141943, 109316, 4, 6, 94741, 40920, 874, 98071, 2442, 4, 6428, 33809, 6235, 506, 6093, 16803, 1470, 75230, 4667, 3069, 31467, 4151, 39293, 1644, 148346, 6093, 42572, 75322, 98071, 1644, 98071, 4113, 32, 2451, 3496, 59929, 159696, 15907, 39083, 46598, 4, 1470, 98071, 4667, 6, 84577, 225975, 874, 98071, 4667, 3523, 98071, 2882, 5, 2451, 215594, 133190, 4, 220224, 151614, 148346, 1211, 9934, 98071, 4667, 1751, 75230, 1211, 3069, 31467, 5666, 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 ]
[ 36909, 23269, 1982, 71577, 2882, 4, 2451, 2808, 98071, 4852, 6, 23173, 29259, 1211, 4838, 68959, 54260, 6093, 10498, 33809, 13159, 1285, 49597, 6235, 159696, 4852, 65482, 1751, 75230, 4944, 29060, 39340, 27702, 23269, 506, 76632, 4113, 4, 199145, 1470, 98071, 4852, 1751, 75230, 1211, 23050, 5, 119718, 29771, 41595, 6235, 159696, 1211, 3069, 31467, 220224, 123073, 6235, 2865, 54260, 5666, 235210, 4113, 18583, 148346, 189623, 23269, 7511, 49597, 81829, 4, 9424, 29259, 2882, 32887, 47526, 37826, 36909, 23173, 3111, 31467, 51723, 6, 148346, 26612, 220224, 10676, 9424, 75578, 2451, 148346, 98071, 16803, 133190, 199145, 6235, 4484, 33809, 51723, 4, 14856, 47526, 4, 1470, 98071, 2442, 159696, 2882, 125523, 9424, 29259, 2882, 151614, 148346, 1211, 5, 6319, 33809, 2050, 5332, 22426, 13159, 3069, 31467, 148346, 29259, 46053, 4, 2181, 43649, 54260, 2882, 1751, 75230, 1211, 4838, 152656, 16175, 98071, 3131, 22426, 54260, 36419, 4667, 6, 94741, 63020, 6, 148346, 21106, 2648, 6, 23173, 29259, 20260, 33809, 51723, 5, 2451, 6, 212484, 2882, 1470, 33809, 16747, 4852, 4, 7508, 48904, 20616, 76632, 4113, 4, 1470, 75230, 2702, 107581, 3131, 148346, 171428, 9934, 98071, 4667, 4838, 128750, 98071, 6093, 2451, 506, 64260, 6235, 225975, 2882, 14856, 47526, 2451, 2808, 98071, 4667, 6, 94741, 63020, 125523, 1470, 33809, 36909, 87311, 49008, 6, 148346, 26612, 6, 90848, 104149, 874, 29259, 1211, 3496, 54260, 1644, 37016, 1751, 93704, 1982, 239162, 2702, 4, 119055, 29766, 46598, 119055, 12483, 1470, 98071, 4667, 6, 212484, 3523, 98071, 2882, 1470, 98071, 148346, 6093, 95455, 9424, 98071, 46685, 4, 42572, 33809, 5666, 119718, 48904, 12483, 119055, 39083, 2882, 4852, 12, 6235, 3111, 31467, 51723, 4838, 224220, 33809, 7511, 49597, 16803, 36324, 75230, 17824, 98071, 23405, 32, 165592, 13845, 107581, 6, 148346, 26612, 10918, 49597, 33809, 183216, 151614, 148346, 1211, 9934, 98071, 4667, 564, 54260, 1211, 1470, 54260, 5666, 190135, 9424, 119718, 98071, 81829, 14856, 47526, 12483, 2808, 33809, 1211, 6, 90848, 104149, 874, 98071, 2882, 1470, 98071, 2442, 4269, 48904, 89930, 42572, 75322, 98071, 1644, 17645, 5, 1470, 75230, 101608, 10676, 4, 199145, 220224, 194885, 1211, 6235, 159696, 1211, 657, 29259, 148346, 192956, 34076, 98071, 2648, 5666, 159696, 82576, 4484, 98071, 83182, 4, 151614, 148346, 1211, 220224, 9934, 98071, 4667, 76961, 6, 101328, 61621, 6235, 506, 29771, 20315, 159696, 2882, 1470, 98071, 5666, 54260, 119132, 4, 1470, 33809, 1211, 42572, 33809, 1211, 6428, 12, 193042, 24621, 6319, 98071, 83182, 36326, 6, 101328, 61621, 37826, 18225, 220224, 1751, 75230, 1211, 8903, 95494, 2648, 4944, 13497, 4, 36324, 95455, 6, 159696, 67873, 153585, 4838, 191795, 46053, 874, 98071, 2882, 4838, 6, 78683, 28726, 5, 8947, 37826, 9934, 98071, 4667, 1470, 75230, 2702, 8903, 4852, 39083, 2882, 3523, 98071, 2882, 1470, 98071, 23405, 48904, 64213, 36324, 75230, 4, 7508, 98071, 40920, 98071, 75290, 6235, 225975, 2882, 4, 1470, 98071, 23405, 48904, 64213, 3523, 98071, 2882, 36324, 75230, 5, 1285, 49597, 148346, 39083, 36326, 119718, 98071, 4484, 13159, 151614, 148346, 1211, 1470, 75230, 4667, 81444, 3069, 31467, 13982, 54260, 2882, 1285, 49597, 3496, 79238, 148346, 75230, 23269, 2702, 4, 123736, 148346, 6093, 14856, 47526, 1470, 98071, 4852, 5666, 29766, 3523, 98071, 2882, 6235, 159696, 1211, 215031 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3523, 23173, 4838, 6293, 3523, 98071, 2882, 3069, 31467, 18583, 29659, 54260, 1211, 4, 36324, 1470, 75230, 148346, 6, 90848, 39293, 42542, 6, 148346, 26612, 5, 506, 75230, 148346, 1211, 4838, 224220, 33809, 7511, 49597, 16803, 4, 37826, 7369, 3523, 23173, 3523, 98071, 2882, 199145, 3069, 31467, 6, 80453, 29060, 141943, 98071, 61621, 12, 199145, 1470, 98071, 4852, 2648, 98071, 4838, 119718, 28726, 32, 148932, 6093, 8248, 31467, 40920, 9934, 98071, 4667, 199145, 6, 148346, 13159, 6093, 5, 1470, 33809, 1211, 199145, 6235, 506, 6093, 3069, 31467, 874, 54260, 2442, 5, 874, 5, 3373, 54260, 48253, 5, 4838, 68550, 4151, 42572, 26612, 148346, 2442, 98071, 4484, 5, 9185, 44779, 4, 1470, 98071, 4852, 14856, 47526, 3523, 98071, 2882, 7508, 6093, 115556, 4, 7369, 170479, 9934, 98071, 4667, 1470, 29259, 110970, 22426, 23173, 1211, 6, 94741, 119718, 39340, 1285, 49597, 2808, 33809, 1211, 3523, 98071, 2882, 4231, 65482, 2451, 119718, 120467, 1470, 98071, 4852, 7369, 54745, 1211, 4838, 117902, 29060, 4, 119055, 13845, 104238, 22518, 29259, 148346, 2882, 657, 98071, 2648, 44779, 1470, 33809, 1211, 36909, 23173, 21847, 29771, 56169, 1285, 49597, 1470, 75230, 15388, 3069, 31467, 4151, 17190, 119718, 239162, 32, 4151, 1751, 54260, 59461, 874, 98071, 1211, 42572, 13845, 2882, 1470, 98071, 8300, 16932, 7511, 49597, 2882, 6, 23173, 4151, 6, 159696, 21295, 12, 1285, 49597, 874, 98071, 22849, 29771, 24621, 37826, 76961, 51723, 18583, 4852, 29766, 98833, 5, 1470, 33809, 1211, 3373, 29771, 36909, 88660, 75386, 29771, 6293, 37826, 7369, 125523, 6, 90848, 104149, 1470, 75230, 4667, 3523, 98071, 2882, 18583, 212484, 1211, 5, 4838, 224220, 33809, 7511, 49597, 16803, 1470, 98071, 4852, 6, 57277, 39340, 26612, 224220, 33809, 7511, 49597, 16803, 4, 123736, 148346, 6093, 1470, 75230, 101608, 4838, 117902, 33716, 36909, 13845, 874, 98071, 2882, 4838, 186046, 2882, 54260, 148346, 98071, 10813, 4, 199145, 37826, 26612, 224220, 33809, 7511, 49597, 16803, 32, 2451, 123736, 148346, 6093, 4838, 874, 40096, 239162, 4, 36324, 1470, 98071, 4667, 119055, 13845, 7508, 98071, 2442, 6, 148346, 25207, 183216, 4, 119055, 119273, 33809, 3069, 31467, 101470, 32, 2451, 506, 64260, 9934, 98071, 4667, 32887, 47526, 6, 190135, 1470, 98071, 1211, 42572, 59929, 68558, 18583, 3496, 48904, 20616, 76632, 12483, 4, 1470, 33809, 1211, 4852, 39083, 9934, 98071, 4, 4838, 35189, 26612, 148346, 4113, 4, 6, 104149, 4, 36324, 7369, 42572, 186955, 6, 148346, 26612, 9934, 98071, 4667, 3523, 98071, 2882, 6, 23173, 137377, 5, 2451, 874, 98071, 2882, 6, 148346, 54260, 20315, 364, 35596, 4, 874, 141943, 109316, 4, 4838, 148346, 98071, 4838, 198754, 4113, 5, 199145, 4, 874, 98071, 2442, 6, 148346, 1644, 29259, 148346, 1211, 20315, 1211, 3523, 98071, 2882, 6319, 29259, 1211, 657, 29259, 148346, 192956, 34076, 98071, 2648, 3131, 159696, 82576, 4484, 98071, 83182, 32, 2451, 2205, 4838, 6319, 33809, 3131, 119055, 13845, 1470, 98071, 4667, 6, 148346, 92605, 33809, 51723, 32, 2451, 4838, 36909, 98071, 28726, 9424, 238144, 4, 14856, 47526, 4, 1470, 75230, 148346, 133190, 8947, 119055, 29060, 119055, 77188, 153585, 5, 5666, 29766, 81444, 1470, 98071, 4852, 874, 98071, 57277, 2865, 39083, 14856, 47526, 6235, 119718, 29766, 1211, 220273, 7369, 16667, 2882, 5, 2451, 6, 101328 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 101328, 4, 36324, 75230, 1470, 98071, 4852, 8947, 4, 2451, 506, 64260, 9934, 98071, 4667, 14856, 47526, 162726, 33809, 34709, 33809, 23405, 4838, 7508, 12, 148346, 23050, 57277, 1211, 20315, 2050, 43649, 53414, 4, 163139, 49597, 7369, 119055, 39083, 2882, 9934, 98071, 4667, 4151, 87311, 13497, 133190, 4838, 163139, 49597, 40920, 98071, 39340, 6, 170355, 4667, 2451, 18583, 119718, 120467, 39293, 2882, 18225, 125523, 4838, 79981, 3523, 98071, 2050, 21776, 148346, 41764, 54260, 36419, 12984, 32, 2451, 41764, 54260, 36419, 18406, 42572, 13845, 2882, 1470, 75230, 4667, 3523, 98071, 29659, 6319, 29259, 1211, 6, 23173, 148346, 29060, 2451, 506, 64260, 23050, 4852, 29771, 13497, 7508, 48904, 20616, 76632, 4113, 2451, 10069, 874, 54260, 16667, 2882, 4, 874, 98071, 2882, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 1470, 98071, 4852, 36324, 75230, 17824, 98071, 23405, 3069, 31467, 29434, 54260, 12483, 9934, 98071, 4667, 32, 2442, 33809, 1982, 98071, 87311, 119718, 98071, 2882, 2882, 37826, 1470, 98071, 1211, 4151, 39293, 1644, 148346, 6093, 9424, 29259, 2882, 6, 57277, 39340, 137, 8903, 13982, 54260, 2882, 155, 9934, 98071, 4667, 874, 98071, 2882, 2648, 98071, 41764, 75230, 6093, 98071, 2050, 1470, 98071, 1211, 6, 88660, 137377, 6093, 40096, 98071, 119718, 5, 7508, 5, 6, 148346, 21106, 43178, 33809, 36909, 98071, 2050, 194885, 1211, 23050, 4484, 33809, 51723, 5, 7508, 33809, 1982, 98071, 28714, 119718, 98071, 48253, 37826, 6, 31212, 6235, 3111, 31467, 51723, 1751, 57277, 24152, 6, 148346, 54260, 168155, 1211, 4838, 6293, 220224, 12, 2451, 119055, 33809, 4, 42572, 25207, 2932, 1470, 98071, 4667, 6, 148346, 26612, 1470, 29259, 4667, 4, 220224, 2882, 1470, 98071, 2442, 18583, 36909, 21106, 1211, 6235, 119718, 29766, 1211, 32, 4151, 46711, 129071, 29766, 4, 874, 54260, 13497, 1470, 98071, 2442, 4, 119055, 29060, 4838, 6293, 1470, 29259, 4667, 6, 71804, 23405, 119055, 23173, 28320, 32, 1285, 49597, 620, 4113, 149364, 6, 212484, 1211, 3523, 98071, 23822, 33809, 12483, 5, 36909, 23173, 1285, 49597, 6, 148346, 26612, 147713, 33809, 36909, 98071, 2050, 1470, 98071, 4852, 95455, 6235, 159696, 1211, 4838, 3523, 29259, 2702, 1470, 33809, 1211, 1470, 33809, 112304, 98071, 16803, 4, 55242, 12483, 220224, 4852, 98071, 4667, 1470, 98071, 8300, 16932, 6, 23173, 33809, 2050, 4, 194885, 1211, 220224, 6235, 159696, 1211, 6, 148346, 26612, 9934, 98071, 4667, 36324, 75230, 7508, 33809, 98071, 4484, 12, 2451, 220224, 163139, 49597, 67873, 54745, 1211, 1470, 75230, 4667, 21776, 2050, 46711, 129071, 29766, 32, 42572, 33809, 5666, 119718, 48904, 12483, 151614, 148346, 1211, 220224, 3373, 54260, 10813, 32, 2451, 4838, 6293, 3373, 54260, 10813, 170479, 2882, 1470, 98071, 2442, 9934, 98071, 4667, 1470, 98071, 8300, 16932, 3523, 98071, 2882, 6, 113889, 4944, 128750, 4113, 15388, 2451, 506, 64260, 220224, 6235, 44478, 13497, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 2451, 21106, 4113, 151614, 148346, 1211, 1470, 98071, 8300, 16932, 3373, 54260, 10813, 5, 67882, 40920, 3523, 98071, 2882, 6319, 29259, 1211, 1751, 98071, 506, 13159, 2808, 33809, 1211, 22518, 29259, 148346, 2882, 1470, 33809, 13497, 6093, 5, 1470, 33809, 194734, 95064, 25391, 98071, 148346, 1211, 32, 1470, 98071, 56169, 3523, 54260, 2882, 4838, 152656, 6, 71804, 61397, 1470, 33809, 1211, 235466 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 40653, 29659, 54260, 15388, 10676, 9424, 141943, 105330, 2681, 26612, 1369, 966, 2451, 1530, 190, 55257, 2451, 363, 138, 1369, 966, 2451, 963, 5, 12465, 292, 361, 292, 564, 304, 292, 361, 292, 564, 758, 2203, 361, 292, 6, 92867, 1019, 2203, 361, 292, 564, 5, 19308, 292, 361, 292, 564, 363, 2203, 361, 292, 564, 910, 292, 361, 292, 6, 2050, 2702, 292, 361, 292, 6, 2050, 5, 363, 6, 5, 304, 2451, 361, 292, 209, 292, 361, 292, 534, 2451, 361, 292, 611, 292, 361, 292, 702, 2451, 361, 2451, 6, 4, 418, 292, 361, 292, 423, 2451, 138, 292, 387, 292, 361, 292, 7076, 966, 6, 5, 910, 1369, 361, 292, 423, 292, 361, 292, 427, 2451, 361, 483, 292, 361, 292, 616, 2451, 361, 292, 702, 292, 361, 292, 611, 2451, 201, 292, 729, 292, 361, 292, 7744, 418, 1369, 361, 292, 534, 2451, 361, 292, 427, 2451, 361, 292, 702, 2451, 121908, 2451, 361, 292, 423, 2451, 361, 292, 611, 2451, 382, 292, 423, 2451, 483, 85067, 5, 4151, 22639, 119718, 21106, 15435, 1211, 78683, 137377, 6093, 40096, 710, 119718, 206994, 1470, 75230, 2702, 6, 222907, 8300, 54260, 2932, 5, 2865, 26, 506, 40096, 6235, 2648, 23173, 23741, 6, 71577, 101296, 67873, 47658, 364, 15350, 89930, 23269, 45521, 38054, 5, 874, 26, 506, 64260, 1751, 75230, 1211, 6, 71577, 8903, 97634, 21295, 361, 45521, 38054, 5, 163139, 21066, 45521, 38054, 220224, 49008, 6, 207591, 56169, 6235, 87311, 21295, 5, 2451, 568, 13342, 8903, 18406, 3069, 305, 159308, 40653, 29659, 54260, 15388, 10676, 9424, 141943, 105330, 22426, 1369, 190, 6, 1211, 305, 1369, 106, 2289, 617, 52196, 109981, 1369, 382, 6, 1211, 305, 1369, 305, 1369, 305, 7508, 122420, 6, 5, 418, 2451, 201, 6, 1211, 305, 2203, 190, 6, 1211, 305, 1369, 305, 6, 1211, 305, 2203, 305, 6, 1211, 305, 1369, 382, 6, 1211, 305, 2203, 361, 1211, 1369, 305, 6, 1211, 209, 2203, 382, 6, 1211, 6, 156960, 6, 5, 758, 2451, 190, 6, 1211, 305, 2203, 483, 6, 1211, 305, 2451, 361, 6, 1211, 305, 292, 305, 6, 1211, 361, 2451, 483, 305, 2203, 910, 2451, 758, 1211, 12045, 2203, 6, 2050, 6, 1211, 305, 1662, 292, 2203, 305, 2592, 2203, 6, 2050, 6, 1211, 6, 174481, 292, 6, 2050, 305, 1530, 2203, 6, 2050, 292, 305, 1837, 2203, 6, 2050, 292, 305, 2203, 2203, 305, 534, 2203, 1126, 5, 2205, 4838, 3069, 2932, 220224, 49008, 6235, 159696, 1211, 305, 112216, 2702, 165592, 153796, 119718, 26612, 2932, 239162, 1211, 4, 201, 3373, 42695, 506, 119718, 26612, 2932, 239162, 1211, 2200, 106, 564, 208048, 163177, 119718, 208048, 1211, 5, 3120, 163139, 21066, 119055, 26612, 2932, 239162, 1211, 3056, 27702, 3131, 57277, 49008, 35189, 3069, 2932, 32, 20961, 137377, 101470, 305, 159308, 40653, 29659, 54260, 15388, 21776, 2050, 9424, 141943, 105330, 190, 71577, 6, 5, 22426, 758, 534, 201, 201, 2451, 910, 2451, 963, 5, 9271, 292, 305, 292, 6, 2050, 1019, 292, 305, 292, 564, 758, 292, 305, 292, 2203, 966, 292, 305, 292, 6, 2050, 5, 1019, 31, 292, 305, 292, 564, 910, 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 ]

[ 361, 292, 6, 2050, 16, 292, 382, 292, 6, 2050, 910, 292, 36, 292, 6, 2050, 5, 363, 6, 5, 304, 2451, 305, 292, 483, 2203, 305, 292, 209, 2451, 292, 423, 292, 292, 427, 2451, 305, 292, 702, 305, 292, 51332, 292, 387, 6849, 966, 6, 5, 910, 1369, 305, 292, 616, 292, 305, 292, 534, 2451, 305, 292, 382, 292, 305, 292, 702, 2451, 305, 292, 427, 292, 305, 292, 423, 1369, 201, 292, 611, 292, 305, 292, 7076, 418, 1369, 305, 292, 534, 2451, 305, 292, 427, 2681, 104867, 2451, 305, 292, 423, 2451, 361, 292, 702, 2451, 382, 292, 616, 2451, 483, 292, 423, 1369, 292, 14212, 5, 230764, 4151, 48706, 48904, 42180, 220224, 49008, 6235, 159696, 1211, 427, 1470, 75230, 97634, 164874, 1211, 5, 206105, 2808, 75230, 97634, 164874, 1211, 220224, 43178, 1211, 4838, 159696, 4484, 8903, 7201, 29766, 1211, 2200, 305, 220224, 49008, 125523, 6235, 90536, 18406, 5, 163139, 115453, 75230, 97634, 164874, 1211, 220224, 49008, 4838, 159696, 4484, 8903, 7201, 29766, 1211, 32, 13342, 8903, 18406, 3069, 190, 159308, 40653, 29659, 54260, 15388, 10676, 9424, 141943, 105330, 5, 2702, 3373, 7508, 1388, 4113, 1369, 382, 292, 190, 1369, 138, 292, 190, 29485, 966, 305, 2451, 382, 6, 1211, 190, 292, 190, 6, 1211, 190, 2203, 190, 6, 7961, 116, 6, 1211, 190, 292, 361, 6, 1211, 190, 2203, 190, 6, 1211, 2451, 305, 6, 1211, 190, 292, 483, 6, 1211, 190, 292, 190, 6, 1211, 1662, 6, 2050, 292, 190, 2203, 201, 6, 1211, 534, 2203, 190, 292, 534, 292, 190, 6, 1211, 15, 5, 107033, 2451, 201, 6, 1211, 190, 2451, 305, 6, 1211, 190, 2451, 382, 6, 1211, 1369, 190, 6, 1211, 147546, 1369, 305, 6, 1211, 190, 2451, 361, 190, 2451, 382, 6, 1211, 190, 2451, 483, 6, 1211, 5, 162082, 363, 5, 6, 137218, 20260, 109316, 37826, 5, 6235, 104149, 230764, 4151, 123736, 30473, 123073, 9424, 238144, 7213, 7201, 44779, 8300, 54260, 1644, 40653, 4, 163139, 21066, 6, 149364, 4852, 68558, 220224, 49008, 6235, 39293, 46053, 2205, 6, 17645, 35465, 7213, 21066, 2200, 564, 23173, 25207, 12984, 4, 163139, 21066, 6, 149364, 4852, 68558, 220224, 49008, 6235, 159696, 1211, 2205, 564, 54260, 20315, 7213, 7201, 44779, 3069, 235210, 12483, 32, 23173, 137377, 101470, 190, 159308, 40653, 29659, 54260, 15388, 10676, 9424, 141943, 105330, 966, 59929, 1019, 2203, 702, 382, 2203, 190, 2203, 190, 292, 30994, 292, 190, 292, 7508, 758, 7508, 758, 190, 292, 966, 190, 292, 564, 52196, 363, 2451, 190, 292, 382, 963, 1369, 190, 292, 427, 2451, 190, 292, 7085, 966, 1369, 190, 292, 702, 1369, 190, 292, 209, 1369, 190, 292, 534, 2451, 201, 292, 1892, 2588, 292, 702, 2451, 190, 292, 6281, 173245, 2451, 190, 292, 534, 116597, 2451, 190, 292, 6370, 758, 1369, 190, 292, 534, 292, 190, 6, 7961, 2203, 190, 6, 7961, 190, 292, 209, 2451, 190, 292, 427, 1369, 190, 292, 616, 2451, 190, 292, 85067, 5, 4838, 6235, 33716, 59461, 37826, 6235, 2648, 23173, 23741, 56170, 21066, 48904, 64213, 702, 564, 54260, 2865, 44779, 5, 6, 150839, 40096, 1751, 75230, 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 ]

[ 56170, 21066, 48904, 56169, 190, 564, 54260, 2865, 44779, 5, 163139, 21066, 564, 54260, 2865, 44779, 6428, 23173, 7369, 125523, 7201, 23173, 21066, 48904, 64213, 32, 17168, 17288, 2932, 112711, 64213, 95455, 3069, 8903, 18406, 159308, 40653, 29659, 54260, 15388, 1285, 1751, 159696, 1644, 2451, 483, 292, 758, 2451, 483, 138, 1369, 483, 1211, 59811, 2451, 382, 6, 1211, 1369, 382, 201, 1369, 382, 6, 1211, 1031, 1530, 1369, 361, 361, 1369, 361, 6, 1211, 190, 1369, 361, 6, 1211, 201, 1369, 2289, 2485, 1369, 305, 6, 1211, 361, 1369, 305, 305, 2451, 305, 6, 1211, 190, 1369, 361, 6, 1211, 137116, 1369, 483, 6, 1211, 201, 2451, 106, 6, 1211, 483, 1369, 483, 6, 1211, 190, 905, 787, 966, 1369, 382, 6, 1211, 190, 1369, 116, 6, 1211, 382, 1369, 382, 6, 1211, 2289, 1662, 2451, 361, 6, 1211, 305, 2451, 138, 361, 2451, 361, 6, 1211, 15124, 5, 1837, 1369, 305, 6, 1211, 382, 1369, 201, 292, 305, 1369, 305, 1054, 361, 1369, 305, 6, 1211, 97608, 1369, 483, 292, 138, 1369, 138, 6, 1211, 483, 2451, 201, 292, 305, 2451, 483, 6, 1211, 6, 115459, 2451, 382, 6, 1211, 1369, 201, 6, 1211, 138, 1369, 138, 292, 361, 1369, 5, 963, 2451, 361, 292, 758, 1369, 190, 6, 1211, 361, 1369, 116, 2451, 361, 1369, 361, 6, 1211, 2289, 2592, 1369, 305, 292, 305, 1369, 361, 361, 1369, 106, 6, 1211, 483, 1369, 305, 292, 361, 1369, 483, 292, 116, 1369, 483, 6, 1211, 138, 2451, 483, 6, 1211, 201, 2451, 483, 6, 1211, 5, 758, 2451, 382, 6, 1211, 138, 1369, 382, 201, 1369, 382, 292, 758, 1369, 382, 6, 165160, 1369, 361, 6, 1211, 201, 1369, 361, 190, 2451, 361, 6, 1211, 305, 1369, 361, 6, 1211, 2861, 2681, 1369, 305, 190, 1369, 305, 292, 910, 1369, 305, 6, 1211, 361, 2489, 5, 2205, 1751, 104855, 220224, 49008, 6235, 159696, 1211, 1285, 67882, 24621, 2200, 201, 114955, 5, 6, 5, 26, 4852, 54260, 49008, 23173, 54260, 5666, 130991, 4838, 38087, 194734, 2200, 190, 114955, 5, 163139, 21066, 6, 149364, 4852, 68558, 220224, 49008, 6235, 159696, 1211, 13342, 235210, 12483, 32, 1819, 5, 2205, 220273, 28320, 220224, 49008, 6235, 159696, 1211, 201, 6, 54260, 23405, 44779, 2200, 138, 874, 54260, 2648, 44779, 5, 4151, 113889, 4667, 4852, 54260, 49008, 6, 130991, 2205, 220273, 28320, 19532, 54260, 1211, 6, 54260, 23405, 44779, 2200, 201, 874, 54260, 2648, 44779, 5, 163139, 21066, 16580, 83182, 220224, 49008, 6235, 159696, 1211, 3069, 235210, 12483, 32, 25207, 48974, 48904, 64213, 95455, 6, 23173, 137377, 101470, 159308, 40653, 29659, 54260, 15388, 1285, 1751, 159696, 1644, 17853, 2702, 11, 1126, 107947, 2451, 418, 483, 305, 305, 107947, 2451, 209, 2702, 3373, 3373, 2702, 1126, 2451, 304, 2451, 534, 483, 2203, 106, 382, 382, 292, 116, 292, 209, 36419, 4151, 119859, 57619, 1211, 95455, 6, 23173, 137377, 101470, 159308, 40653, 29659, 54260, 15388, 1285, 1751, 159696, 1644, 29485, 1019, 5, 363, 6, 5, 304, 1369, 116, 292, 427, 2203, 305, 292, 534, 1369, 138, 292, 427, 2203, 361, 292, 534, 1369, 201, 292, 427, 2203, 382 ]

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

[ 292, 534, 1369, 190, 292, 427, 2203, 483, 292, 4541, 966, 6, 5, 910, 1369, 116, 292, 616, 2203, 305, 292, 702, 1369, 138, 292, 616, 2203, 361, 292, 702, 2451, 201, 292, 616, 2203, 382, 292, 702, 1369, 190, 292, 616, 2203, 483, 292, 702, 14556, 12975, 5, 2205, 1470, 6, 95494, 40920, 109316, 220224, 49008, 6235, 159696, 1211, 427, 6319, 39083, 9221, 18415, 43449, 54260, 93497, 5, 710, 120467, 109316, 37826, 3069, 7369, 29659, 19532, 75230, 2702, 139449, 201, 43449, 54260, 93497, 4, 2200, 6, 113889, 133324, 46598, 125523, 363, 5, 163139, 21066, 43449, 54260, 93497, 220224, 49008, 6235, 90536, 18406, 2205, 6, 95494, 40920, 109316, 32, 963, 5, 4838, 564, 47351, 3056, 27702, 3131, 57277, 49008, 3120, 702, 119055, 26612, 2932, 239162, 1211, 5, 230764, 4151, 48706, 48904, 42180, 506, 64260, 18225, 120202, 8903, 153222, 109636, 2882, 483, 119055, 26612, 2932, 239162, 1211, 2200, 3069, 8903, 153222, 109636, 2882, 361, 119055, 26612, 2932, 239162, 1211, 5, 119718, 710, 21066, 119055, 26612, 2932, 239162, 1211, 220224, 49008, 1470, 159696, 4484, 8903, 7201, 29766, 1211, 6, 238144, 16932, 32, 5, 2592, 1369, 138, 292, 534, 1369, 201, 292, 427, 2451, 382, 292, 534, 1369, 305, 292, 5035, 1819, 2451, 305, 292, 702, 2451, 201, 2451, 616, 2451, 292, 5035, 2681, 1369, 138, 292, 427, 2451, 483, 292, 427, 2451, 361, 292, 534, 1369, 5035, 2489, 2451, 483, 292, 616, 2451, 104, 6, 26, 418, 2451, 292, 4541, 1530, 2451, 483, 292, 953, 1369, 116, 292, 534, 2451, 138, 2451, 423, 1369, 382, 292, 4541, 2485, 2451, 201, 292, 534, 2451, 305, 292, 702, 2451, 758, 2451, 92134, 418, 1369, 138, 292, 534, 1369, 361, 292, 534, 1369, 483, 292, 387, 2451, 201, 6281, 1837, 1369, 382, 6, 7961, 361, 2451, 702, 2451, 483, 2451, 702, 1369, 382, 292, 427, 2203, 138, 292, 534, 13342, 8903, 18406, 2200, 6, 23173, 137377, 101470, 159308, 40653, 29659, 54260, 49209, 12415, 1751, 159696, 1644, 483, 91977, 2451, 483, 292, 423, 2451, 305, 292, 427, 2451, 361, 292, 5847, 363, 2451, 382, 292, 423, 2451, 292, 616, 2451, 305, 292, 5847, 1530, 2451, 361, 292, 423, 2451, 382, 292, 611, 2451, 483, 729, 2451, 382, 292, 6370, 2485, 5, 363, 2451, 305, 292, 702, 1369, 305, 292, 6370, 966, 2451, 361, 292, 702, 2451, 1369, 361, 292, 6849, 1662, 1369, 616, 2451, 382, 292, 423, 1369, 382, 292, 1369, 382, 292, 7076, 1837, 5, 304, 1369, 305, 6, 1211, 382, 2451, 483, 6, 1211, 6, 156960, 2451, 361, 6, 1211, 12661, 190, 1369, 361, 6, 1211, 2861, 963, 1369, 382, 6, 1211, 1369, 382, 292, 483, 1369, 305, 6, 1211, 382, 1369, 382, 6, 1211, 3217, 2592, 1369, 2451, 292, 106, 2203, 483, 6, 1211, 361, 2451, 292, 611, 2203, 305, 6, 1211, 483, 2451, 305, 292, 423, 292, 6, 1211, 2451, 483, 292, 543, 292, 382, 6, 1211, 483, 2451, 483, 292, 729, 2203, 483, 292, 543, 2203, 483, 6, 1211, 305, 292, 483, 292, 1126, 5, 418, 1369, 305, 305, 1369, 305, 2451, 966, 1369, 305, 382, 2451, 305, 292, 5, 758, 2451, 361 ]

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

[ 305, 2451, 361, 361, 1369, 361, 6, 1211, 2451, 361, 1211, 5, 1126, 2451, 305, 6, 1211, 1369, 361, 6, 1211, 382, 2451, 382, 6, 1211, 138, 2451, 483, 6, 1211, 3217, 2681, 2489, 5, 3373, 26, 4852, 54260, 49008, 6235, 21066, 75230, 15388, 305, 4838, 6093, 137377, 71804, 49008, 5, 3120, 147582, 22426, 1644, 47351, 57973, 7746, 2808, 75230, 111137, 506, 75230, 18406, 6, 76776, 4667, 483, 4838, 6093, 137377, 71804, 49008, 5, 4151, 113889, 4667, 57973, 7746, 6, 23173, 71577, 195054, 165592, 57277, 4838, 6093, 137377, 71804, 49008, 5, 163139, 21066, 4838, 6093, 137377, 71804, 49008, 147582, 12483, 125523, 32, 1819, 5, 2205, 47833, 1470, 75230, 97634, 164874, 220224, 49008, 6235, 159696, 1211, 382, 6, 149364, 4852, 68558, 2200, 3373, 54260, 710, 49008, 19532, 54260, 1211, 113889, 4667, 2861, 4151, 113889, 4667, 220224, 49008, 206105, 6, 149364, 4852, 68558, 19532, 75230, 2702, 2200, 3373, 26, 4852, 54260, 49008, 6235, 90536, 18406, 17160, 75230, 4852, 483, 6, 149364, 4852, 68558, 5, 163139, 21066, 6, 149364, 4852, 47351, 220224, 49008, 19532, 75230, 2702, 38, 12231, 3131, 159696, 2442, 123073, 10339, 21106, 1211, 3120, 3069, 8903, 18406, 2200, 6, 23173, 137377, 101470, 5, 2681, 2451, 305, 292, 702, 2451, 483, 292, 5847, 2592, 1369, 305, 292, 616, 2451, 361, 292, 616, 2451, 382, 292, 616, 2451, 483, 292, 6370, 1837, 1369, 305, 292, 423, 2451, 361, 292, 423, 1369, 382, 292, 423, 2451, 483, 292, 6281, 2485, 2451, 361, 292, 611, 1369, 382, 292, 611, 2451, 483, 292, 6849, 2489, 2451, 382, 292, 729, 2451, 483, 292, 7076, 165826, 5, 963, 2451, 7961, 361, 292, 209, 1369, 382, 292, 209, 963, 5, 1662, 1369, 116, 292, 534, 1369, 138, 292, 534, 2451, 201, 292, 534, 1369, 190, 292, 534, 2451, 305, 292, 534, 2451, 361, 292, 534, 1369, 382, 292, 534, 2451, 483, 292, 4541, 1530, 2451, 138, 292, 427, 1369, 201, 292, 427, 1369, 190, 292, 427, 1369, 305, 292, 427, 2451, 361, 292, 427, 2451, 382, 292, 427, 2451, 483, 292, 5035, 617, 1369, 190, 6, 1211, 305, 1369, 382, 6, 1211, 2289, 11663, 1369, 305, 6, 1211, 190, 2451, 361, 6, 1211, 190, 1369, 382, 6, 1211, 190, 2451, 483, 6, 1211, 6, 124525, 1369, 305, 6, 1211, 201, 2442, 2451, 483, 292, 5, 966, 2451, 361, 6, 1211, 138, 1369, 382, 6, 1211, 138, 2451, 483, 6, 1211, 6, 135527, 1369, 382, 6, 1211, 116, 1369, 483, 7508, 787, 1126, 1369, 483, 6, 1211, 38245, 2451, 361, 3569, 1369, 382, 6, 1211, 483, 2451, 483, 6, 1211, 6, 151309, 1369, 116, 6, 1211, 138, 2451, 138, 6, 1211, 2451, 201, 6, 1211, 382, 2451, 190, 6, 1211, 382, 2451, 305, 6, 1211, 382, 2451, 361, 382, 1369, 382, 6, 1211, 382, 2451, 5, 363, 2451, 138, 6, 1211, 361, 2451, 201, 6, 1211, 361, 1369, 190, 6, 1211, 361, 1369, 305, 361, 1369, 361, 2451, 361, 76067, 2203, 6, 1211, 305, 292, 6, 1211, 483, 2451, 361, 292, 702, 2203, 305, 292, 201, 6, 1211, 77816, 1369, 483, 6, 1211, 2203, 305, 2451, 190, 292, 616, 13342, 8903, 18406 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6, 23173, 137377, 101470, 418, 134693, 2485, 292, 6, 2050, 292, 483, 1819, 2203, 6, 2050, 6, 1211, 138, 2592, 2203, 6, 2050, 6, 1211, 14905, 1369, 6, 2050, 6, 1211, 305, 1530, 6, 2050, 292, 6, 124525, 963, 292, 101, 292, 616, 1662, 292, 2203, 292, 70351, 292, 6, 2050, 292, 1324, 2203, 6, 2050, 292, 611, 963, 2203, 6, 2050, 292, 7085, 304, 2451, 106, 6, 1211, 116, 292, 138, 1369, 116, 6, 1211, 138, 6, 1211, 201, 1369, 138, 6, 1211, 201, 6, 1211, 190, 2451, 201, 6, 1211, 190, 6, 1211, 305, 1369, 190, 6, 1211, 305, 6, 1211, 121908, 1369, 382, 292, 361, 6, 1211, 305, 2451, 483, 292, 382, 6, 1211, 361, 1369, 305, 292, 483, 292, 138, 2451, 361, 292, 138, 6, 1211, 382, 1369, 483, 292, 483, 6, 1211, 3569, 418, 1369, 116, 6, 1211, 116, 6, 1211, 116, 1369, 138, 292, 138, 6, 1211, 138, 2451, 201, 6, 1211, 201, 6, 1211, 201, 2451, 190, 6, 1211, 190, 6, 1211, 190, 1369, 305, 6, 1211, 305, 6, 1211, 2289, 617, 1369, 116, 292, 138, 292, 305, 1369, 138, 292, 201, 292, 483, 1369, 201, 292, 190, 292, 427, 1369, 190, 292, 305, 292, 423, 1369, 305, 292, 361, 292, 119386, 5, 1470, 75230, 33225, 364, 75230, 6293, 3120, 4838, 10339, 26612, 216501, 220224, 49008, 74806, 57277, 49008, 201, 657, 59929, 96256, 75230, 97634, 2702, 5, 1751, 109636, 16932, 220224, 49008, 6, 23173, 54260, 23405, 73381, 29766, 1211, 125523, 382, 657, 59929, 96256, 75230, 97634, 2702, 5, 6, 113889, 12984, 56170, 71804, 35465, 22753, 49008, 483, 657, 59929, 96256, 75230, 97634, 2702, 4838, 159696, 4484, 8903, 7201, 29766, 1211, 163139, 21066, 657, 59929, 96256, 75230, 97634, 2702, 220224, 49008, 125523, 6235, 90536, 18406, 1470, 75230, 33225, 364, 75230, 6293, 3120, 4151, 10339, 26612, 216501, 32, 1019, 5, 6681, 4151, 10213, 82576, 206994, 2205, 32899, 216501, 220224, 49008, 1470, 75230, 2702, 2932, 21660, 54260, 4944, 13497, 6235, 119718, 29766, 1211, 483, 32054, 75230, 12483, 2200, 361, 874, 114436, 4, 3373, 26, 2648, 23173, 33225, 125523, 6, 193120, 119055, 53414, 116, 2808, 75230, 2702, 8300, 54260, 30741, 109226, 5, 163139, 21066, 6, 149364, 4852, 68558, 6, 159696, 67873, 220224, 1211, 1470, 75230, 2702, 2932, 21660, 54260, 4944, 13497, 32, 1126, 5, 2205, 4838, 43649, 21106, 220224, 49008, 74806, 57277, 49008, 611, 45521, 38054, 5, 483, 220224, 49008, 6235, 159696, 1211, 78683, 25207, 2200, 1285, 40653, 125897, 220224, 49008, 6235, 159696, 1211, 17824, 75230, 4113, 5, 3069, 4151, 206994, 220224, 49008, 26612, 159696, 4484, 76961, 17824, 75230, 4113, 45521, 38054, 2200, 116, 6, 78683, 25207, 5, 163139, 21066, 45521, 38054, 220224, 49008, 4838, 159696, 4484, 3069, 35189, 206994, 32, 963, 5, 2205, 4838, 119055, 75230, 3111, 23405, 95564, 119718, 23173, 2882, 21106, 56170, 206994, 6093, 564, 75230, 2882, 18225, 387, 506, 54260, 168155, 5, 1470, 75230, 33225, 7369, 29659, 1211, 67882, 710, 37826, 18225, 1470, 75230, 2702, 8903, 188301, 2882, 361, 364, 54260, 168155, 2200, 2808, 75230, 33225, 17953, 104855, 3120, 163139, 35189, 8903, 28317, 2882, 125523, 305, 364, 54260, 168155, 5, 163139, 21066, 364, 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 ]

[ 168155, 6, 94741, 63020, 51723, 125523, 1470, 75230, 2702, 188301, 1211, 32, 14889, 4151, 22492, 57619, 1211, 95455, 3069, 8903, 18406, 2205, 4151, 17824, 4113, 69106, 3120, 9424, 39083, 1211, 78278, 7085, 617, 7201, 1369, 209, 7508, 305, 1369, 534, 6, 1211, 305, 1369, 427, 292, 305, 1369, 702, 6, 1211, 305, 1369, 616, 6, 1211, 137116, 1369, 611, 292, 138, 1369, 702, 6, 1211, 305, 1369, 427, 6, 1211, 382, 1369, 543, 6, 1211, 116, 1369, 209, 6, 1211, 4068, 363, 1369, 305, 6, 1211, 209, 2451, 305, 6, 1211, 534, 1369, 305, 6, 1211, 427, 2451, 305, 6, 1211, 702, 2451, 305, 6, 1211, 6370, 966, 2451, 534, 292, 361, 1369, 616, 6, 1211, 190, 1369, 427, 6, 1211, 201, 2451, 534, 6, 1211, 483, 1369, 209, 6, 1211, 382, 1369, 534, 292, 305, 2203, 423, 292, 5, 304, 1369, 423, 292, 106, 1369, 423, 6, 1211, 116, 1369, 106, 292, 201, 1369, 423, 292, 5, 173245, 2451, 106, 6, 1211, 423, 1369, 116, 292, 423, 2451, 6, 1211, 423, 1369, 2451, 190, 6281, 12975, 5, 1285, 67882, 24621, 37826, 27702, 46685, 20911, 4, 36324, 2205, 1751, 104855, 220224, 49008, 6235, 90536, 18406, 17160, 75230, 4852, 138, 34076, 48350, 6093, 2200, 22753, 37826, 6235, 4484, 75230, 23741, 125523, 4838, 33718, 7611, 34076, 48350, 6093, 4, 95455, 364, 54260, 16803, 1530, 1751, 46545, 5, 163139, 21066, 34076, 48350, 6093, 220224, 49008, 182261, 56170, 47351, 2205, 1751, 104855, 32, 963, 5, 4838, 12023, 49008, 10918, 40920, 44478, 37826, 6, 23173, 75230, 2702, 139449, 3120, 3523, 54260, 46598, 113743, 29659, 218241, 138, 25207, 24621, 44779, 7265, 151614, 110317, 2200, 3120, 1285, 6, 21106, 18415, 113743, 29659, 218241, 1211, 37826, 7369, 6, 23173, 75230, 2702, 139449, 611, 21776, 24621, 44779, 5, 163139, 21066, 21776, 24621, 44779, 37826, 4151, 12023, 49008, 10918, 40920, 44478, 23173, 75230, 2702, 139449, 3120, 1285, 113743, 29659, 218241, 1211, 32, 1662, 5, 2205, 4838, 12023, 49008, 2932, 99766, 1211, 220224, 49008, 6235, 159696, 1211, 483, 113743, 29659, 218241, 1211, 5, 2205, 40026, 164461, 37826, 18225, 138, 113743, 29659, 218241, 1211, 6, 139449, 73784, 56170, 710, 40920, 1211, 2200, 874, 26, 506, 64260, 4838, 159696, 4484, 190135, 534, 3523, 54260, 4113, 113743, 29659, 218241, 1211, 5, 163139, 21066, 113743, 29659, 218241, 1211, 43649, 54260, 12483, 182261, 2205, 12890, 49008, 2932, 99766, 1211, 32, 1530, 5, 6, 137218, 20260, 109316, 37826, 6235, 17268, 49008, 305, 1751, 119718, 29771, 51723, 2200, 55242, 50853, 109316, 37826, 6235, 17268, 49008, 616, 1751, 119718, 29771, 51723, 5, 1285, 114955, 57973, 1285, 1751, 119718, 29771, 51723, 4838, 506, 54260, 2865, 8903, 1982, 48775, 40920, 5, 1285, 101296, 24621, 37826, 6235, 225975, 2882, 4, 36324, 55242, 50853, 109316, 37826, 160751, 48775, 40920, 116, 77014, 14857, 119718, 29771, 51723, 5, 92500, 22753, 37826, 220224, 6, 23173, 75230, 2702, 8903, 119718, 29766, 33225, 5, 163139, 21066, 8947, 1982, 23173, 4113, 1751, 119718, 29771, 51723, 57973, 1285, 16580, 83182, 160751, 48775, 40920, 32, 5, 5847, 4838, 10339, 26612, 216501, 37826, 427, 17824, 75230, 36419, 1470, 75230, 97634, 2702, 2200, 382, 19302, 114436, 4113, 4, 95298, 304, 17824, 75230, 36419, 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 ]

[ 97634, 2702, 220224, 49008, 4838, 159696, 4484, 2205, 21776, 87311, 13497, 5, 163139, 21066, 1470, 75230, 97634, 2702, 206994, 1211, 32, 25207, 48974, 112711, 64213, 95455, 19532, 137377, 101470, 2205, 7508, 6093, 97995, 171428, 3120, 9424, 39083, 1211, 7501, 387, 9199, 2702, 11, 10, 1019, 292, 209, 292, 73294, 6, 114997, 292, 19251, 2203, 423, 292, 543, 2451, 953, 292, 387, 292, 427, 292, 423, 292, 423, 292, 611, 292, 209, 2451, 729, 292, 953, 2203, 702, 292, 387, 2203, 423, 292, 729, 292, 209, 292, 729, 2451, 702, 292, 209, 292, 427, 2203, 423, 292, 543, 2203, 209, 292, 543, 2485, 2451, 387, 2451, 423, 292, 953, 2451, 209, 292, 953, 1369, 543, 292, 387, 2451, 423, 292, 387, 2203, 209, 292, 7085, 210257, 5, 136473, 2451, 543, 292, 953, 1369, 427, 292, 387, 1369, 427, 292, 543, 1369, 534, 292, 387, 1369, 616, 292, 729, 2451, 729, 2203, 534, 292, 427, 6, 7961, 292, 953, 2203, 427, 292, 616, 2203, 611, 292, 387, 1369, 292, 953, 2203, 702, 292, 611, 2203, 729, 292, 387, 1369, 616, 292, 387, 2203, 616, 292, 543, 2203, 543, 292, 387, 1369, 209, 292, 423, 292, 423, 292, 116, 2203, 953, 292, 118802, 5, 10184, 86733, 2702, 220224, 49008, 4838, 159696, 4484, 8903, 3131, 119718, 905, 51723, 1470, 75230, 33225, 6, 448, 2205, 361, 7213, 7201, 44779, 2200, 35189, 113889, 4667, 220224, 49008, 6, 23173, 75230, 2702, 8903, 3131, 119718, 905, 51723, 125523, 427, 7213, 7201, 44779, 5, 56170, 76776, 40920, 57973, 4852, 18167, 101251, 8903, 75290, 2882, 611, 7213, 7201, 44779, 5, 1285, 40653, 125897, 220224, 49008, 6235, 90536, 18406, 230764, 26612, 4269, 48904, 89930, 6, 76776, 40920, 4, 9747, 3069, 364, 161577, 1285, 23050, 64213, 5, 163139, 21066, 7213, 7201, 44779, 220224, 49008, 2205, 4151, 76776, 40920, 6235, 90536, 18406, 1470, 75230, 33225, 6, 448, 32, 963, 5, 3069, 6, 47351, 123736, 30473, 123073, 3056, 6, 130991, 6, 47351, 1470, 75230, 2702, 21066, 23964, 3120, 206994, 6093, 5, 2205, 26612, 7213, 6293, 57973, 7746, 6, 23173, 54260, 23405, 48350, 21660, 2882, 382, 874, 114436, 2200, 361, 32054, 75230, 12483, 2200, 2205, 4151, 3131, 32097, 220224, 49008, 6235, 159696, 1211, 387, 7369, 16932, 5, 163139, 21066, 6, 149364, 4852, 68558, 192183, 12483, 7746, 125523, 6, 23173, 54260, 54561, 21660, 1211, 2205, 4151, 7213, 6293, 32, 1662, 5, 1470, 10339, 54260, 6093, 37826, 19532, 75230, 2702, 2932, 21660, 75230, 15388, 1285, 23050, 28320, 5, 2205, 4151, 23050, 7611, 220224, 49008, 8903, 159696, 1211, 611, 10184, 3131, 12, 201, 23847, 75230, 36419, 10184, 3131, 4, 190, 19302, 114436, 4113, 2200, 1285, 40653, 125897, 220224, 49008, 8903, 159696, 1211, 162726, 64260, 31623, 13159, 5, 163139, 21066, 162726, 64260, 31623, 46598, 220224, 49008, 6235, 159696, 1211, 32, 11648, 13342, 8903, 18406, 2200, 6, 23173, 137377, 101470, 5, 10945, 6, 1211, 483, 176311, 292, 101, 382, 1549, 292, 6, 2050, 6, 1211, 361, 2681, 292, 6, 2050, 6, 1211, 1892, 16028, 292, 209, 292, 564, 966, 2203, 427, 292, 564, 910, 2203, 616, 292, 564, 758, 2203, 702, 292, 6, 2050, 617, 292, 611, 6, 7961, 564, 5, 304 ]

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

[ 1369, 190, 6, 1211, 209, 292, 8983, 1369, 138, 292, 427, 292, 138, 1369, 292, 702, 292, 116, 2451, 106, 292, 616, 6, 1211, 22410, 2451, 483, 6, 1211, 729, 292, 387, 1369, 382, 6, 1211, 427, 292, 953, 1369, 6, 1211, 534, 292, 611, 1369, 305, 7508, 209, 292, 729, 1369, 190, 292, 702, 292, 543, 2451, 6, 1211, 91532, 2451, 483, 6, 1211, 190, 292, 106, 1369, 382, 6, 1211, 190, 292, 116, 1369, 361, 6, 1211, 292, 138, 1369, 305, 6, 1211, 190, 292, 201, 1369, 190, 6, 1211, 190, 292, 1892, 617, 1369, 138, 292, 138, 292, 382, 1369, 201, 292, 201, 292, 534, 2451, 190, 292, 190, 292, 616, 1369, 305, 292, 305, 292, 729, 2451, 361, 292, 361, 292, 108042, 5, 2205, 4838, 3373, 142429, 220224, 49209, 6235, 119718, 92605, 46053, 534, 564, 23173, 91275, 54260, 46685, 2200, 382, 5332, 22426, 22849, 54260, 46685, 4, 29771, 75578, 138, 6, 21106, 18415, 564, 23173, 91275, 54260, 46685, 6, 94741, 63020, 18225, 1470, 75230, 2702, 3131, 5666, 54260, 35465, 5, 163139, 21066, 80839, 40920, 1982, 54260, 46685, 6, 159696, 67873, 43449, 54260, 18406, 2205, 3373, 142429, 32, 1019, 5, 98478, 1751, 104855, 220224, 49008, 6235, 119718, 92605, 46053, 138, 6, 78683, 93509, 91275, 54260, 46685, 2200, 201, 6, 238144, 110970, 22849, 54260, 46685, 5, 119055, 12483, 14856, 37826, 125523, 6681, 39293, 56169, 1470, 6235, 119718, 710, 36419, 9424, 39083, 46654, 75230, 24621, 50856, 1982, 54260, 46685, 4, 220224, 49008, 3069, 235210, 12483, 6235, 159696, 1211, 953, 564, 54260, 2865, 44779, 5, 163139, 21066, 46654, 75230, 24621, 91275, 54260, 46685, 506, 64260, 18225, 56170, 39293, 56169, 32, 1126, 5, 2205, 131397, 2932, 99766, 1211, 57973, 1285, 7213, 44478, 56170, 39293, 56169, 17824, 24295, 119718, 23173, 2932, 230764, 387, 1982, 54260, 28320, 5, 3373, 26, 4852, 54260, 49008, 6235, 159696, 1211, 382, 564, 54260, 28320, 30109, 75230, 2882, 4, 305, 564, 54260, 28320, 117902, 9719, 2648, 29766, 1211, 4, 138, 564, 54260, 28320, 46685, 1211, 2200, 230764, 1285, 40653, 125897, 564, 54260, 28320, 220224, 49008, 6235, 159696, 1211, 21422, 69801, 13159, 5, 163139, 21066, 1982, 54260, 28320, 7265, 21422, 69801, 13159, 220224, 49008, 6235, 159696, 1211, 32, 963, 5, 95455, 5, 3523, 54260, 4113, 9424, 238144, 29659, 218241, 125897, 364, 75230, 4852, 119055, 29060, 57973, 729, 119055, 75230, 5666, 109226, 2808, 75230, 33225, 186046, 16932, 6, 159696, 67873, 220224, 1211, 190, 119055, 75230, 5666, 109226, 4, 1470, 75230, 33225, 7369, 29659, 1211, 43649, 218241, 305, 119055, 75230, 5666, 109226, 5, 163139, 21066, 119055, 75230, 5666, 109226, 6, 159696, 67873, 220224, 1211, 1470, 75230, 33225, 9424, 238144, 28320, 43649, 218241, 32, 1662, 5, 2205, 4838, 46711, 75322, 238144, 220224, 49008, 6235, 159696, 1211, 543, 6, 149364, 4852, 68558, 5, 1470, 75230, 33225, 120202, 105235, 1644, 4852, 54260, 49008, 6, 23173, 75230, 2702, 361, 6, 149364, 4852, 68558, 2200, 206105, 220224, 49008, 6, 23173, 54260, 1211, 2205, 46711, 75322, 238144, 5, 14004, 56169, 220224, 49008, 56170, 47351, 387, 6, 149364, 4852, 68558, 5, 163139, 21066, 6, 149364, 4852, 68558, 220224, 49008, 6, 23173, 54260, 1211, 2205, 23822, 75322, 238144, 1470, 75230, 33225 ]

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

[ 120202, 105235, 1644, 32, 7201, 23173, 16629, 2648, 65482, 1470, 75230, 7201, 119859, 1982, 13159, 14773, 418, 5, 2205, 4838, 6, 119859, 48775, 163177, 220224, 49008, 74806, 57277, 49008, 361, 46711, 129071, 29766, 1211, 2200, 1470, 75230, 33225, 506, 75230, 6293, 220224, 49008, 74806, 57277, 49008, 116, 46711, 129071, 29766, 1211, 5, 163139, 21066, 46711, 129071, 29766, 1211, 3056, 6235, 159696, 1211, 13342, 235210, 12483, 32, 5442, 2205, 1470, 54260, 1211, 6, 119859, 48775, 163177, 220224, 49008, 74806, 57277, 49008, 361, 46711, 129071, 29766, 1211, 4, 2205, 9424, 238144, 28320, 4852, 54260, 49008, 74806, 57277, 49008, 7265, 116, 46711, 129071, 23173, 1211, 28415, 5, 163139, 21066, 46711, 129071, 29766, 1211, 220224, 49008, 8903, 3131, 57277, 49008, 2205, 564, 54260, 20315, 4269, 23173, 165592, 81829, 3069, 235210, 12483, 32, 7961, 1644, 54260, 4852, 17310, 35596, 59919, 12, 82414, 5, 2205, 6, 88660, 137377, 6093, 40096, 710, 159696, 163139, 33716, 95494, 23741, 1211, 37826, 18225, 6, 23173, 75230, 2702, 8903, 3131, 93449, 382, 23822, 129071, 29766, 1211, 4, 2205, 4838, 874, 12666, 14325, 119718, 54196, 95494, 23741, 7265, 138, 46711, 129071, 29766, 1211, 163139, 57619, 123329, 5, 119718, 710, 21066, 46711, 129071, 29766, 1211, 37826, 18225, 6, 23173, 75230, 2702, 8903, 3131, 93449, 3069, 4151, 206994, 32, 1644, 54260, 4852, 17310, 1369, 138, 292, 382, 2858, 6, 35596, 59919, 12, 6, 2050, 617, 5, 230764, 1470, 67882, 16629, 49008, 16803, 48904, 42180, 220224, 49008, 6235, 159696, 1211, 534, 17824, 75230, 36419, 46711, 129071, 29766, 1211, 2200, 19302, 54260, 23269, 220224, 49008, 6235, 159696, 1211, 7265, 305, 163139, 57619, 123329, 5, 163139, 21066, 46711, 129071, 29766, 1211, 4852, 54260, 49008, 6235, 159696, 1211, 230764, 4151, 67882, 16629, 49008, 16803, 48904, 42180, 32, 758, 5, 564, 54260, 2050, 6, 215629, 19302, 21660, 6093, 56170, 6, 47351, 895, 87442, 90848, 119718, 142170, 206994, 1211, 190, 46711, 129071, 29766, 1211, 4, 2200, 2205, 1285, 6, 61541, 35189, 206994, 1211, 7265, 201, 46711, 129071, 29766, 1211, 28415, 5, 163139, 21066, 23822, 129071, 29766, 1211, 37826, 18225, 6, 23173, 75230, 2702, 8903, 3131, 93449, 3069, 4151, 206994, 32, 8318, 7201, 23173, 16629, 2648, 65482, 1470, 75230, 7201, 119859, 1982, 13159, 418, 5, 564, 54260, 2050, 564, 75230, 12483, 4838, 33718, 151227, 206994, 1211, 9424, 238144, 19302, 54260, 23269, 657, 29771, 88660, 87311, 15231, 119718, 1211, 12, 2808, 54260, 59461, 620, 4113, 22426, 2882, 382, 119055, 48904, 29771, 16747, 44779, 4, 4151, 9424, 238144, 16932, 7265, 138, 119055, 208048, 16747, 44779, 46685, 5, 163139, 21066, 119055, 208048, 16747, 44779, 206994, 1211, 564, 54260, 2050, 564, 75230, 12483, 10676, 33718, 151227, 32, 5442, 2205, 4838, 3373, 42695, 506, 506, 75230, 4852, 220224, 49008, 6235, 159696, 1211, 427, 874, 114436, 90848, 119718, 53414, 2200, 6428, 23173, 46685, 48775, 119718, 53414, 220224, 49008, 6235, 159696, 1211, 7265, 190, 163139, 57619, 123329, 5, 163139, 21066, 6, 48775, 119718, 53414, 220224, 49008, 8903, 159696, 1211, 2205, 3373, 42695, 506, 506, 75230, 4852, 32, 363, 5, 2205, 4838, 43649, 64260, 6, 94741, 63020, 220224, 1211, 387, 131397, 8903, 1982, 54260, 2648, 13159, 5, 182261, 220224, 49008, 56170, 47351, 611, 131397, 1211, 4, 95298, 138, 131397, 1211, 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 ]

[ 26612, 18406, 7243, 6319, 54260, 1211, 1470, 54260, 2932, 65482, 160751, 54260, 2648, 13159, 5, 119718, 710, 21066, 131397, 8903, 1982, 54260, 2648, 13159, 6, 94741, 63020, 18225, 1470, 75230, 7201, 1982, 75230, 12483, 32, 617, 5, 3373, 57277, 3131, 4, 9934, 29771, 36326, 2200, 15622, 39293, 4484, 57973, 6235, 144581, 18406, 1751, 119718, 23173, 26394, 6, 137218, 8903, 2648, 13159, 5, 2702, 57277, 3131, 37826, 132025, 8903, 144581, 18406, 138, 3944, 16932, 4, 6, 170355, 36326, 6428, 2200, 15622, 39293, 4484, 2289, 3120, 1285, 132025, 8903, 144581, 1982, 65482, 4231, 48904, 16870, 13159, 37826, 1285, 67882, 24621, 423, 3944, 16932, 1470, 54260, 5666, 190135, 230764, 4944, 92605, 2200, 1285, 21776, 29659, 37826, 22753, 40653, 8903, 212484, 2882, 73784, 8947, 1211, 5, 163139, 21066, 6, 69181, 89184, 48904, 16870, 13159, 220224, 49008, 6235, 90536, 18406, 73784, 8947, 1211, 32, 758, 5, 2205, 4838, 3373, 42695, 506, 506, 75230, 4852, 43649, 54260, 12483, 201, 21374, 4667, 95494, 7201, 13159, 2200, 138, 19302, 54260, 35189, 95494, 7201, 13159, 5, 3120, 4151, 9424, 35596, 48775, 28726, 364, 40096, 18225, 3069, 8903, 3131, 93449, 305, 21374, 4667, 95494, 7201, 13159, 92500, 305, 19302, 54260, 35189, 95494, 7201, 13159, 5, 163139, 21066, 6, 95494, 7201, 13159, 6, 159696, 67873, 43649, 54260, 1211, 2205, 6, 51437, 26659, 506, 75230, 30473, 910, 5, 4838, 27702, 28726, 1982, 120467, 18415, 37826, 6235, 506, 40096, 9424, 238144, 17806, 12, 4838, 6235, 21066, 87442, 4113, 2200, 26612, 7508, 75230, 18415, 5, 1285, 6235, 21066, 87442, 4113, 37826, 6, 193120, 534, 3944, 16932, 7544, 66317, 2200, 1285, 7508, 75230, 18415, 905, 5, 3120, 10676, 37826, 1285, 27702, 28726, 1982, 120467, 18415, 611, 3944, 16932, 3069, 190135, 2205, 4838, 107189, 4944, 123329, 54260, 2200, 1285, 21776, 29659, 37826, 22753, 1470, 54260, 5666, 190135, 230764, 9934, 75230, 6093, 9719, 66317, 5, 163139, 21066, 7972, 16932, 37826, 22753, 1470, 54260, 5666, 190135, 230764, 163139, 63593, 710, 66317, 32, 966, 5, 2205, 67882, 119859, 109995, 3120, 4838, 6, 88660, 137377, 6093, 40096, 710, 119718, 37826, 18225, 160751, 48775, 40920, 387, 78683, 16803, 16667, 220224, 6293, 4, 1470, 54260, 1211, 70695, 203232, 37826, 3069, 139449, 3120, 67882, 119859, 109995, 6428, 6, 78683, 16803, 16667, 5, 10069, 9424, 238144, 18415, 305, 6, 78683, 16803, 16667, 2200, 1285, 29434, 710, 18415, 190, 6, 78683, 16803, 16667, 5, 163139, 21066, 6, 78683, 16803, 16667, 220224, 6293, 23829, 32, 4944, 21066, 5046, 8300, 238144, 186046, 3056, 116, 874, 39083, 3069, 116, 1369, 116, 1369, 116, 116, 13982, 54260, 117902, 2442, 3056, 138, 874, 39083, 3069, 116, 2451, 1369, 116, 2451, 116, 201, 22426, 29766, 3056, 201, 874, 39083, 3069, 116, 105780, 6293, 117902, 2442, 3056, 190, 874, 39083, 3069, 2451, 116, 190, 2451, 116, 6428, 116, 292, 116, 292, 116, 1054, 142483, 4944, 21066, 363, 874, 39083, 3069, 116, 2451, 116, 45151, 1369, 116, 116, 1369, 116, 7508, 116, 292, 116, 1369, 116, 292, 116, 9934, 116, 6, 1211, 116, 2451, 6, 1211, 116, 2451, 116, 1211, 116, 292, 59811, 1369, 116, 201, 1369, 116, 116, 1369, 97608, 1369, 116, 138, 1369, 116, 116, 1369, 116, 138, 1369, 11585, 2205, 4838, 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 ]

[ 95494, 55823, 43649, 54260, 12483, 9424, 238144, 117902, 2442, 67826, 119718, 1644, 5, 163139, 21066, 67826, 119718, 1644, 43649, 54260, 12483, 95766, 6, 95494, 55823, 32, 758, 5, 2205, 4838, 19302, 59929, 37826, 18225, 6, 23173, 54260, 5666, 190135, 201, 9424, 238144, 149364, 4852, 171433, 125897, 1982, 135118, 5, 105235, 1644, 3069, 5666, 75230, 6293, 6, 159696, 15388, 10676, 6, 47351, 1470, 75230, 7201, 119859, 30750, 43652, 73784, 6, 215629, 364, 54260, 37826, 18225, 6, 23173, 75230, 2702, 8903, 3131, 93449, 190, 119055, 29771, 2932, 16667, 5, 6, 17645, 35465, 119055, 29771, 15388, 3131, 28726, 22426, 2882, 1470, 117902, 2442, 45521, 38054, 5, 163139, 21066, 45521, 38054, 6, 215629, 95455, 364, 54260, 32, 4944, 21066, 963, 1837, 874, 39083, 3069, 138, 76067, 156627, 2451, 138, 6, 1211, 138, 1369, 138, 6, 1211, 138, 6, 1211, 138, 1369, 138, 7508, 138, 292, 138, 6, 1211, 138, 2451, 138, 2442, 138, 7508, 138, 292, 138, 6, 1211, 1031, 201, 292, 116, 1369, 6, 5, 201, 292, 138, 1369, 48413, 2203, 138, 6, 5, 201, 1369, 72516, 2203, 138, 6, 5, 12338, 5, 2205, 17953, 104855, 3120, 187483, 15, 20315, 2050, 106, 28320, 84054, 16, 220224, 49008, 6235, 21066, 75230, 15388, 2808, 88680, 4151, 43649, 40096, 201, 874, 21106, 3069, 29434, 54260, 1470, 6093, 137377, 71804, 49008, 2200, 4151, 1470, 6093, 137377, 1644, 47351, 69355, 132025, 91163, 6093, 2205, 4151, 145813, 54260, 1211, 5, 163139, 21066, 1470, 6093, 137377, 71804, 49008, 220224, 49008, 6235, 21066, 75230, 15388, 2808, 88680, 4151, 43649, 40096, 32, 758, 5, 2205, 7369, 29659, 1211, 874, 54260, 13342, 2932, 220224, 49008, 1285, 114955, 3120, 1285, 160238, 113687, 1211, 8903, 7201, 23173, 1211, 2205, 1470, 75230, 97634, 2702, 5, 1285, 1470, 75230, 97634, 2702, 220224, 49008, 6235, 240863, 12483, 29434, 54260, 238144, 4852, 5, 3373, 26, 4852, 54260, 49008, 8903, 159696, 1211, 190, 29434, 54260, 7972, 183216, 3120, 1470, 75230, 97634, 2702, 5, 163139, 21066, 1470, 75230, 97634, 2702, 7265, 114955, 220224, 49008, 8903, 159696, 1211, 32, 49150, 4944, 21066, 363, 874, 39083, 3069, 6260, 1369, 201, 6, 5, 116, 1369, 116, 201, 2203, 201, 6, 5, 138, 2451, 201, 6, 5, 138, 2451, 138, 6, 5, 80196, 7961, 201, 6, 5, 758, 1369, 134693, 2451, 617, 5, 163139, 21066, 105884, 6093, 147062, 18225, 3069, 201, 119055, 29771, 2932, 16667, 32, 758, 5, 163139, 21066, 117902, 2648, 88660, 159696, 2702, 147062, 18225, 6681, 190, 45521, 38054, 32, 910, 5, 4231, 167622, 109316, 37826, 6235, 4484, 75230, 23741, 6681, 7746, 2200, 6681, 220224, 23269, 9424, 238144, 73375, 35189, 3069, 201, 17288, 23741, 1211, 5, 163139, 21066, 17288, 23741, 1211, 37826, 7369, 6235, 4484, 75230, 23741, 32, 966, 5, 9424, 54260, 12984, 6, 68558, 201, 7508, 54260, 12483, 105884, 44779, 3069, 201, 21776, 20315, 44779, 2205, 1470, 7508, 54260, 5, 163139, 21066, 25207, 20315, 66317, 6, 159696, 67873, 220224, 1211, 32, 4944, 21066, 63620, 5, 5, 363, 874, 39083, 3069, 190, 114997, 26, 107033, 6, 5, 418, 2451, 116, 2451, 116, 6, 114997, 5, 363, 2451, 158296, 201, 2451, 104867, 2203, 148462, 2451, 7961, 129274, 2451, 617, 5, 2205, 1470, 81444, 63020, 37826, 18225 ]

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

[ 19532, 54260, 23405, 21660, 75230, 15388, 895, 87442, 25207, 2205, 201, 3523, 54260, 20616, 54260, 168155, 5, 2205, 6, 17645, 35465, 364, 75230, 4852, 220224, 49008, 6235, 159696, 1211, 364, 657, 63593, 22426, 44779, 5, 43649, 13845, 3069, 5666, 75230, 2442, 17537, 1470, 75230, 7201, 119859, 30750, 6, 159696, 15388, 10676, 45955, 1470, 364, 75230, 4852, 37826, 201, 45521, 57619, 16932, 1470, 75230, 33225, 41764, 20961, 16932, 2200, 3069, 190, 45521, 57619, 16932, 2808, 54260, 4667, 29434, 54260, 1751, 97634, 38249, 5, 163139, 21066, 45521, 57619, 16932, 37826, 6428, 59929, 364, 75230, 4852, 32, 2289, 3373, 26, 7201, 29766, 1211, 190, 1470, 75230, 97634, 2702, 5, 148932, 1470, 75230, 97634, 83066, 2882, 45521, 2702, 44779, 564, 43178, 109995, 119718, 710, 21066, 45521, 2702, 44779, 6, 215629, 1285, 1470, 75230, 97634, 2702, 32, 66947, 4944, 21066, 1369, 305, 305, 292, 305, 1369, 15748, 64, 905, 19084, 363, 5, 7544, 16747, 109316, 37826, 6235, 4484, 75230, 23741, 6319, 23269, 109636, 44779, 12, 119718, 710, 21066, 6319, 23269, 22426, 44779, 37826, 7544, 16747, 109316, 6235, 4484, 75230, 23741, 32, 5, 966, 2451, 305, 116, 1369, 6, 5, 758, 2451, 1369, 5, 910, 2451, 138, 1369, 138, 1369, 190, 6, 5, 138, 2451, 38704, 1369, 1031, 116, 2451, 1398, 1369, 190, 116, 2451, 305, 6, 5, 66207, 2451, 48413, 1369, 787, 15748, 1369, 138, 7201, 23173, 16629, 2648, 65482, 1470, 75230, 7201, 76776, 30750, 2050, 963, 12338, 6, 71804, 63849, 13159, 57973, 6235, 506, 40096, 3069, 116, 7213, 107581, 44779, 2200, 1470, 54260, 1211, 657, 21106, 39340, 37826, 6, 76776, 15529, 7213, 4944, 109316, 5, 163139, 21066, 7213, 107581, 44779, 57973, 6235, 506, 40096, 1751, 54260, 16747, 109316, 2050, 4838, 63849, 46598, 32, 5442, 83066, 1157, 63849, 13159, 57973, 3069, 201, 6319, 23269, 22426, 44779, 2200, 1470, 54260, 23269, 37826, 3523, 23173, 304, 6319, 23269, 22426, 44779, 5, 163139, 21066, 6319, 23269, 22426, 44779, 57973, 1751, 54260, 16747, 109316, 2050, 1157, 63849, 46598, 32, 363, 5, 163139, 21066, 120439, 23173, 109636, 28320, 37826, 1751, 54260, 16747, 109316, 6235, 101296, 40920, 6681, 190, 6, 71804, 63849, 13159, 32, 617, 5, 177274, 1157, 1644, 39340, 65146, 57973, 201, 6319, 23269, 22426, 44779, 5, 163139, 21066, 6319, 23269, 22426, 44779, 65146, 101296, 12984, 143064, 109316, 6681, 6, 105780, 6293, 6, 71804, 63849, 13159, 32, 758, 5, 143064, 109316, 163139, 1644, 193178, 190, 6, 71804, 63849, 13159, 5, 22753, 37826, 1751, 75230, 1211, 6235, 101296, 40920, 6681, 4852, 54260, 361, 7213, 107581, 44779, 5, 163139, 21066, 7213, 107581, 44779, 65146, 22753, 125523, 193178, 32, 5, 49150, 2451, 148462, 292, 758, 292, 190, 6, 5, 138, 2451, 2203, 59811, 2203, 178121, 1369, 138, 138, 2203, 201, 201, 2203, 63708, 1369, 6, 5, 2203, 2203, 1031, 38331, 180347, 1662, 5, 1470, 32899, 216501, 187483, 1470, 75230, 2702, 193012, 44779, 190, 1470, 75230, 97634, 2702, 5, 148932, 1470, 75230, 97634, 29257, 64260, 201, 105884, 6093, 2200, 1470, 54260, 1211, 7508, 142429, 2205, 6, 74004, 22426, 46646, 5, 163139, 21066, 105884, 6093, 19024, 81455, 10069, 6681, 216501, 193012, 44779, 32, 1530, 5, 2205, 32899, 216501, 506, 39083, 43649, 54260, 12483, 201, 19302, 54260, 23269 ]

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

[ 67882, 16629, 49008, 2200, 1470, 54260, 1211, 23847, 75230, 36419, 5, 564, 54260, 1285, 19302, 54260, 23269, 67882, 16629, 49008, 187483, 1211, 3069, 6428, 187483, 6093, 2200, 564, 54260, 35189, 17824, 75230, 101608, 3217, 43649, 13845, 3069, 5666, 75230, 6293, 6, 159696, 15388, 10676, 47833, 1470, 75230, 67854, 2808, 30750, 5, 3559, 7201, 23173, 16629, 2648, 65482, 1470, 75230, 7201, 119859, 1982, 13159, 418, 5, 3373, 26, 101296, 93509, 52541, 15622, 105405, 192956, 3120, 137, 2648, 171127, 6681, 41764, 75230, 67873, 155, 3120, 160238, 13497, 35189, 224220, 141943, 84577, 4, 125523, 70845, 1285, 15622, 105405, 192956, 5, 9424, 54260, 1644, 40653, 230764, 4151, 8300, 54260, 4944, 43178, 17310, 4, 163139, 21066, 220224, 49008, 6235, 159696, 1211, 15622, 105405, 192956, 159308, 224220, 141943, 84577, 13342, 235210, 12483, 32, 5442, 6, 98055, 7746, 3069, 3069, 4151, 9424, 54260, 1982, 43178, 23405, 2200, 27702, 25207, 18406, 4, 163139, 21066, 15622, 105405, 192956, 2702, 26, 506, 29771, 18406, 6235, 506, 40096, 657, 137377, 29060, 13159, 5, 163139, 21066, 15622, 105405, 192956, 57973, 7243, 6235, 506, 40096, 4484, 54260, 1211, 657, 137377, 29060, 13159, 32, 363, 5, 230764, 4838, 6, 235210, 710, 119718, 23405, 220224, 49008, 6, 130991, 953, 15622, 105405, 192956, 5, 702, 15622, 105405, 192956, 57973, 7746, 1470, 75230, 2702, 190135, 83066, 238144, 4852, 5, 29434, 54260, 83066, 44779, 159308, 224220, 141943, 84577, 220224, 49008, 4838, 159696, 4484, 3069, 6, 47351, 206994, 564, 54260, 2050, 564, 75230, 12483, 4838, 6, 159696, 2932, 4, 1285, 40653, 7682, 48350, 54260, 49008, 4838, 159696, 4484, 125523, 6235, 8300, 54260, 2932, 5, 163139, 21066, 15622, 105405, 192956, 220224, 49008, 4838, 159696, 4484, 125523, 6235, 8300, 54260, 2932, 32, 617, 5, 2205, 29434, 54260, 6, 95494, 4944, 18415, 44779, 220224, 49008, 6235, 159696, 1211, 6319, 23269, 22426, 1644, 7201, 23173, 18406, 5, 2205, 6, 17645, 35465, 95494, 40920, 109316, 220224, 43178, 1211, 6235, 159696, 1211, 1388, 56170, 18406, 4, 95298, 3120, 1470, 54260, 1211, 6, 95494, 40920, 109316, 37826, 51723, 19532, 75230, 2702, 139449, 138, 56170, 18406, 2200, 3120, 9424, 238144, 28320, 787, 163139, 21066, 6681, 18406, 220224, 49008, 8903, 90536, 18406, 2205, 1285, 6, 95494, 4944, 18415, 44779, 32, 758, 5, 6, 137218, 20260, 109316, 37826, 6235, 506, 40096, 953, 46654, 75230, 51723, 5, 7369, 37826, 6, 193120, 3944, 69801, 12483, 92500, 55242, 50853, 109316, 1211, 3069, 190, 46654, 75230, 51723, 4, 1285, 40653, 125897, 37826, 7369, 40653, 8903, 212484, 2882, 64044, 4231, 120467, 109316, 1211, 5, 163139, 21066, 46654, 75230, 51723, 220224, 49008, 6235, 90536, 18406, 6681, 4231, 120467, 109316, 1211, 32, 910, 5, 230764, 1470, 564, 54260, 21338, 37826, 18225, 6681, 39293, 56169, 364, 103147, 46598, 1470, 54260, 8903, 44779, 2205, 13982, 54260, 7508, 54260, 12483, 5, 2205, 148932, 7508, 54260, 220224, 49008, 6235, 159696, 1211, 138, 17806, 16803, 44779, 7265, 43449, 75230, 4113, 73906, 51723, 2200, 116, 17806, 16803, 44779, 7265, 6, 238144, 36419, 6, 73906, 51723, 5, 163139, 21066, 17806, 16803, 44779, 220224, 49008, 8903, 119718, 92605, 46053, 1470, 75230, 33225, 564, 54260, 21338, 32, 4944, 21066, 8368, 1211, 120620, 71, 10, 10, 1369, 178121, 2203, 305, 292, 305, 2702, 41764, 11, 10, 10, 1369 ]

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

[ 179642, 292, 361, 6, 1211, 361, 22426, 483, 6, 5, 26612, 4113, 5, 16, 710, 6, 5, 22426, 41764, 10, 1369, 128423, 2203, 382, 7508, 382, 4113, 5, 7201, 1468, 2451, 483, 116, 292, 483, 483, 22426, 483, 41764, 11, 2451, 209, 4231, 116, 2203, 209, 4068, 758, 6, 5, 617, 6, 5, 363, 6, 5, 304, 6, 5, 1530, 292, 116, 2203, 382, 116, 292, 305, 292, 116, 6, 5, 116, 2451, 60061, 2203, 102738, 292, 201, 201, 292, 6, 4, 292, 138, 6, 5, 116, 1369, 787, 966, 2203, 178121, 2861, 292, 3217, 292, 201, 6, 5, 116, 1369, 82858, 2203, 1031, 6, 102738, 292, 483, 6, 5, 116, 292, 1892, 12490, 3373, 26, 4852, 54260, 49008, 6235, 21066, 75230, 15388, 9424, 238144, 6, 139485, 22426, 13159, 1470, 6093, 137377, 71804, 49008, 5, 2205, 148932, 139485, 109636, 3056, 6235, 21066, 75230, 15388, 1470, 54260, 1211, 1470, 6093, 29771, 21066, 47351, 3120, 160238, 13497, 2200, 364, 41595, 6093, 70845, 4852, 54260, 49008, 6235, 21066, 75230, 15388, 29434, 54260, 29434, 54260, 7972, 183216, 5, 163139, 21066, 1470, 6093, 137377, 71804, 49008, 220224, 49008, 6235, 21066, 116628, 95766, 564, 54260, 20315, 6, 139485, 22426, 13159, 3069, 235210, 12483, 32, 69139, 7201, 23173, 16629, 2648, 65482, 1470, 75230, 7201, 119859, 1982, 13159, 418, 5, 1470, 364, 75230, 4852, 37826, 29434, 54260, 1751, 97634, 38249, 5, 230764, 6, 17645, 35465, 43649, 218241, 3069, 4151, 64890, 2702, 4852, 54260, 49008, 56170, 47351, 190, 45521, 57619, 16932, 2200, 1470, 75230, 33225, 186046, 16932, 1398, 163139, 21066, 45521, 57619, 16932, 69355, 10676, 364, 75230, 4852, 4269, 54260, 12483, 19532, 75230, 2702, 230764, 4151, 4269, 59929, 32, 5442, 2205, 1470, 19302, 59929, 43649, 54260, 12483, 29434, 54260, 564, 135118, 5, 2205, 9424, 238144, 7508, 54260, 12483, 220224, 49008, 7201, 23173, 47351, 3069, 361, 564, 135118, 2200, 2205, 4151, 29434, 710, 16932, 7508, 54260, 2289, 163139, 21066, 564, 135118, 43649, 54260, 12483, 95766, 10676, 19302, 59929, 32, 363, 5, 29434, 54260, 187483, 6093, 6681, 1644, 142429, 1211, 230764, 47833, 1470, 75230, 97634, 55242, 4484, 7265, 3069, 75290, 5, 17645, 35189, 3120, 220224, 37826, 1751, 75230, 1211, 6681, 1644, 142429, 1211, 3069, 305, 55242, 4484, 2200, 3373, 26, 4852, 54260, 49008, 125523, 8903, 90536, 18406, 116, 55242, 4484, 3069, 56170, 1644, 142429, 1211, 5, 163139, 21066, 55242, 4484, 7265, 3069, 75290, 119055, 29060, 4151, 2808, 75230, 97634, 1470, 159696, 4484, 215629, 32, 617, 5, 1470, 6, 88660, 137377, 6093, 40096, 710, 119718, 37826, 160751, 48775, 40920, 3120, 10339, 26612, 216501, 2205, 6681, 1644, 75230, 6293, 69355, 1470, 6, 47293, 3131, 138, 874, 39083, 3069, 16175, 6, 78683, 16803, 16667, 7213, 4944, 119718, 23173, 2932, 5, 874, 26, 506, 64260, 130363, 75230, 23741, 910, 6, 78683, 16803, 16667, 7213, 4944, 119718, 23173, 2932, 5, 163139, 21066, 6, 78683, 16803, 16667, 220224, 49008, 6235, 90536, 18406, 32, 758, 5, 2205, 6681, 1644, 75230, 6293, 3120, 6, 105780, 6293, 193012, 37826, 1470, 32899, 216501, 160751, 75230, 2882, 3069, 617, 657, 59929, 96256, 75230, 97634, 2702, 193012, 44779, 5, 1285, 6681, 216501, 37826, 1751, 75230, 1211, 19532, 75230, 2702, 8903, 3131, 93449, 2681, 657, 59929 ]

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

[ 96256, 75230, 97634, 2702, 5, 163139, 21066, 657, 59929, 96256, 75230, 97634, 2702, 147062, 22753, 125523, 19532, 75230, 2702, 3131, 133671, 32, 910, 5, 1470, 119055, 26612, 2932, 239162, 1211, 27720, 216501, 37826, 201, 56170, 46545, 4113, 119055, 26612, 2932, 239162, 1211, 2200, 22753, 564, 75230, 2882, 13342, 138, 119055, 26612, 2932, 239162, 1211, 193012, 44779, 5, 163139, 21066, 119055, 26612, 2932, 239162, 1211, 6319, 68558, 1285, 32899, 216501, 3069, 128540, 95766, 6681, 1644, 75230, 6293, 3120, 190, 193012, 32, 5, 1126, 1369, 138, 292, 382, 7508, 116, 116, 2451, 305, 292, 201, 7508, 201, 6, 5, 201, 1369, 483, 292, 361, 6, 1211, 116, 6, 5, 190, 2451, 382, 292, 190, 6, 1211, 201, 6, 5, 1031, 1530, 1369, 305, 6, 1211, 382, 292, 138, 201, 1369, 361, 6, 1211, 483, 292, 190, 6, 5, 138, 1369, 483, 6, 1211, 361, 292, 138, 190, 1369, 138, 6, 1211, 305, 292, 190, 80196, 2451, 138, 292, 201, 6, 5, 116, 2451, 201, 292, 201, 6, 5, 138, 1369, 361, 292, 201, 6, 5, 201, 2451, 483, 292, 201, 6, 5, 1892, 1662, 1369, 382, 116, 1369, 361, 292, 190, 6, 5, 138, 1369, 305, 292, 190, 201, 1369, 190, 292, 6, 160355, 2451, 106, 116, 1369, 138, 7508, 116, 6, 5, 138, 1369, 190, 292, 116, 201, 1369, 2861, 963, 1369, 382, 6, 1211, 1369, 305, 1369, 201, 292, 138, 6, 5, 201, 1369, 116, 292, 138, 6, 5, 7201, 23173, 16629, 2648, 65482, 1470, 75230, 7201, 119859, 1982, 13159, 963, 12183, 5, 3120, 1470, 32899, 216501, 506, 75230, 6293, 57973, 9424, 238144, 119055, 29771, 2932, 16667, 3069, 139449, 13342, 201, 6, 78683, 16803, 16667, 2200, 9424, 238144, 119055, 29771, 2932, 16667, 57973, 3069, 139449, 3069, 305, 6, 78683, 16803, 16667, 5, 119718, 710, 21066, 6319, 59929, 13497, 2050, 37826, 18225, 19532, 75230, 2702, 8903, 7916, 33716, 3120, 4151, 32899, 216501, 32, 5442, 874, 26, 506, 64260, 40653, 8903, 3131, 93449, 3120, 1470, 67882, 16629, 49008, 16803, 48904, 42180, 201, 874, 39083, 3069, 13982, 54260, 46711, 129071, 29766, 1211, 4, 2200, 3120, 40026, 6093, 220224, 49008, 6, 94741, 33716, 6235, 159696, 1211, 190, 46711, 129071, 29766, 1211, 4, 29771, 75578, 116, 46711, 129071, 29766, 1211, 220224, 49008, 6235, 159696, 1211, 2205, 21776, 87311, 13497, 5, 163139, 21066, 46711, 129071, 29766, 1211, 506, 29771, 18406, 6235, 88660, 13497, 187483, 1211, 32, 363, 5, 27702, 25222, 49008, 160238, 1211, 6, 23173, 75230, 2702, 2205, 43649, 64260, 19532, 54260, 1211, 138, 46711, 75322, 238144, 13342, 15388, 13342, 138, 119055, 26612, 2932, 239162, 1211, 4, 201, 3069, 15388, 3069, 116, 119055, 26612, 2932, 239162, 1211, 2200, 138, 1470, 54260, 112690, 39340, 119055, 26612, 2932, 239162, 1211, 5, 119718, 710, 21066, 46711, 75322, 238144, 12483, 220224, 49008, 19532, 75230, 2702, 8903, 7201, 29766, 1211, 2205, 43649, 40096, 19532, 54260, 1211, 32, 617, 5, 10184, 86733, 2702, 220224, 49008, 19532, 75230, 2702, 8903, 7201, 29766, 1211, 1470, 75230, 33225, 6, 448, 2205, 55242, 13805, 7213, 33225, 5, 95766, 1470, 54260, 59461, 220224, 49008, 6235, 159696, 1211, 190, 10184, 86733, 2702, 4, 2205, 83066, 7213, 33225, 220224, 49008, 6235 ]

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

[ 159696, 1211, 13342, 138, 10184, 86733, 2702, 2200, 2205, 1470, 54260, 59461, 220224, 49008, 6235, 159696, 1211, 116, 10184, 86733, 2702, 5, 163139, 21066, 10184, 86733, 2702, 4852, 54260, 49008, 19532, 75230, 2702, 8903, 7201, 29766, 1211, 1470, 75230, 33225, 6, 448, 32, 758, 5, 1470, 75230, 33225, 6, 448, 220224, 49008, 74806, 119718, 905, 51723, 29434, 54260, 7213, 33225, 5, 2205, 148932, 7213, 6293, 220224, 49008, 8903, 159696, 1211, 305, 67882, 226112, 56880, 5, 3120, 4151, 184639, 7213, 6293, 57973, 7746, 116, 874, 40096, 48775, 56880, 2808, 88680, 8903, 39293, 56169, 2205, 4151, 9424, 238144, 16932, 7213, 6293, 2200, 1285, 200795, 7213, 6293, 37826, 4852, 18167, 101251, 8903, 75290, 2882, 73784, 564, 25207, 2932, 5, 163139, 21066, 67882, 226112, 56880, 220224, 49008, 6235, 90536, 18406, 1470, 75230, 33225, 6, 448, 32, 5, 363, 1369, 209, 6, 1211, 138, 6, 5, 138, 1369, 209, 292, 116, 6, 5, 201, 1369, 427, 6, 1211, 138, 6, 5, 116, 1369, 423, 7508, 787, 787, 1662, 1369, 423, 292, 305, 6, 5, 138, 1369, 616, 292, 305, 6, 5, 138, 1369, 427, 292, 138, 190, 1369, 534, 292, 361, 6, 5, 116, 53489, 106000, 292, 6, 2050, 292, 138, 6, 5, 23817, 292, 6, 2050, 292, 190, 6, 5, 5606, 292, 6, 2050, 292, 382, 6, 5, 1702, 292, 564, 292, 305, 6, 5, 6, 102738, 1211, 116, 787, 1126, 1549, 292, 6, 1211, 201, 6, 5, 40566, 292, 564, 138, 6, 5, 190, 2451, 1549, 292, 6, 1211, 201, 6, 5, 77855, 292, 6, 1211, 305, 146644, 292, 6, 2050, 292, 483, 116, 209, 292, 6, 2050, 292, 138, 4231, 146644, 2203, 292, 201, 6, 5, 201, 209, 292, 101, 292, 6, 5, 80454, 2203, 2203, 292, 138, 190, 209, 292, 6, 2050, 6, 1211, 787, 138, 2451, 101, 292, 361, 6, 5, 116, 6, 2050, 36053, 99509, 4113, 6, 26394, 47526, 123329, 2205, 4151, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 7501, 805, 418, 6, 26394, 47526, 123329, 304, 6, 26394, 47526, 123329, 363, 6, 26394, 47526, 123329, 758, 6, 26394, 47526, 123329, 26394, 1211, 209, 8300, 119718, 2808, 57619, 7682, 387, 13982, 54260, 150541, 496, 59919, 10918, 4484, 1112, 17268, 7201, 10918, 4484, 836, 86070, 4113, 6, 26394, 47526, 123329, 2205, 4151, 6235, 49008, 3120, 9424, 39083, 1211, 7501, 805, 534, 1819, 6, 26394, 47526, 123329, 1126, 6, 26394, 47526, 123329, 963, 6, 26394, 47526, 123329, 506, 88917, 77188, 86070, 4113, 6, 26394, 47526, 123329, 2205, 4151, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 7501, 805, 64, 155, 12477, 5, 9424, 54260, 1644, 40653, 4, 163139, 21066, 6, 105235, 39340, 44779, 3373, 26, 4852, 54260, 49008, 81444, 56170, 47351, 28705, 2205, 1470, 6, 88660, 137377, 6093, 40096, 710, 159696, 2442, 70695, 203232, 220224, 49008, 74806, 57277, 49008, 46654, 79238, 44779, 144754, 16175, 41595, 230764, 361, 117902, 7972, 26394, 2702, 5, 3069, 209, 46654, 79238, 44779, 230764, 148932, 5, 163139, 21066, 21066, 79238, 44779, 7265, 16175, 41595, 220224, 49008, 74806, 57277, 49008, 230764, 1285, 117902, 7972, 26394, 2702, 32, 617, 5, 2205, 1470, 220273, 28320, 6681, 39293, 56169, 18225, 80839, 40920, 1982, 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 ]

[ 2865, 44779, 5, 3373, 26, 2648, 23173, 33225, 220224, 1211, 963, 7508, 54260, 12483, 3069, 209, 564, 54260, 2865, 44779, 2205, 148932, 7508, 54260, 5, 874, 26, 506, 64260, 1751, 75230, 1211, 6681, 39293, 56169, 5, 7508, 54260, 12483, 5, 163139, 21066, 564, 54260, 2865, 44779, 147062, 18225, 125523, 6681, 39293, 64213, 32, 758, 5, 2205, 1470, 6, 88660, 137377, 6093, 40096, 710, 159696, 2442, 70695, 203232, 220224, 49008, 6235, 159696, 1211, 209, 41764, 37016, 44779, 144754, 1751, 159696, 30750, 44779, 3069, 209, 6, 172060, 20315, 44779, 2205, 4838, 6, 109636, 21733, 5, 4151, 56170, 4484, 75230, 59919, 506, 64260, 27702, 46685, 20911, 4, 6150, 3373, 26, 4852, 54260, 49008, 70845, 6235, 90536, 18406, 133190, 116, 4269, 48904, 26394, 41764, 37016, 44779, 5, 119718, 710, 21066, 6, 172060, 20315, 44779, 1751, 159696, 30750, 44779, 37826, 18225, 56170, 4484, 75230, 23741, 32, 910, 5, 1470, 21776, 16803, 29766, 47351, 37826, 6235, 4484, 75230, 23741, 190, 46654, 79238, 44779, 1470, 54260, 1644, 3069, 209, 6, 59094, 64260, 13159, 64044, 1470, 46654, 79238, 1644, 5, 163139, 21066, 37826, 6235, 88660, 16803, 4151, 1470, 54260, 1644, 32, 966, 5, 4151, 16175, 174121, 37826, 6235, 4484, 75230, 23741, 209, 55242, 4484, 44779, 6319, 75230, 67873, 3069, 209, 6, 59094, 64260, 13159, 64044, 1470, 55242, 21733, 5, 163139, 21066, 57973, 6235, 88660, 16803, 1285, 6319, 75230, 67873, 32, 1019, 5, 6, 137218, 23269, 13805, 67882, 24621, 37826, 6235, 506, 40096, 805, 6, 59094, 64260, 13159, 2205, 43449, 75230, 39293, 9424, 114436, 4852, 90848, 105439, 5, 22753, 37826, 1470, 75230, 2702, 193120, 138, 874, 39083, 3069, 209, 6, 59094, 64260, 13159, 5, 163139, 21066, 182731, 68313, 11265, 6235, 90536, 18406, 32, 86070, 4113, 6, 26394, 47526, 123329, 2205, 7508, 6093, 3523, 65482, 9183, 6, 148346, 8580, 9424, 39083, 1211, 78278, 805, 534, 6460, 874, 103955, 850, 3069, 209, 4269, 90848, 81829, 3056, 387, 4269, 90848, 81829, 5, 758, 874, 103955, 850, 3069, 209, 4269, 90848, 81829, 3056, 836, 4269, 90848, 81829, 5, 963, 874, 103955, 850, 3069, 209, 4269, 90848, 81829, 3056, 805, 4269, 90848, 81829, 4, 84475, 106, 6, 59094, 64260, 4113, 12, 97024, 99509, 4113, 6, 26394, 47526, 123329, 2205, 4151, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 7501, 805, 16, 2702, 2702, 132, 3373, 3373, 3373, 3373, 6, 51421, 2702, 2702, 2702, 132, 3373, 3373, 3373, 3373, 2702, 3373, 3373, 2702, 3373, 3373, 3373, 2702, 2702, 21087, 3373, 3373, 3373, 2702, 3373, 3373, 3373, 3373, 4, 2702, 3373, 3373, 6, 5, 2702, 3373, 3373, 3373, 2702, 3373, 3373, 3373, 3373, 3373, 4, 2702, 3373, 3373, 3373, 3373, 3373, 3373, 2702, 418, 5, 9424, 54260, 1644, 40653, 1285, 21776, 20315, 44779, 4, 9424, 54260, 1644, 220224, 9424, 141943, 105330, 238144, 4852, 5, 22426, 2702, 3373, 5442, 9424, 54260, 1644, 40653, 27702, 46464, 83182, 1285, 6, 238144, 36419, 21776, 20315, 44779, 4, 27702, 46464, 83182, 1285, 34079, 23173, 26394, 4, 27702, 46464, 83182, 1285, 6235, 22426, 41595, 1644, 18415, 4, 27702, 46464, 83182, 1285, 6235, 13805, 21338, 18415, 2200, 225975, 4, 163139, 21066, 21776, 20315, 44779, 220224, 49008, 6681, 17537, 3069, 74004, 51723, 28705, 9424, 54260, 12984, 6 ]

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

[ 68558, 1496, 21776, 20315, 44779, 5, 86070, 4113, 6, 26394, 47526, 123329, 2205, 54745, 97995, 65482, 8580, 3120, 9424, 39083, 1211, 78278, 805, 29187, 26394, 47526, 123329, 2200, 138, 6, 26394, 47526, 123329, 3056, 361, 6, 26394, 47526, 123329, 5, 5757, 292, 496, 6, 1211, 1112, 1369, 836, 6, 1211, 836, 1369, 2358, 7508, 496, 1369, 1496, 292, 1112, 1369, 2248, 292, 7085, 363, 2451, 496, 292, 2358, 757, 292, 496, 292, 1496, 6, 1211, 209, 1369, 209, 6, 1211, 209, 1369, 209, 6, 1211, 387, 1369, 209, 6, 1211, 1112, 758, 5, 230764, 1470, 8248, 46685, 88660, 1644, 171433, 17645, 57973, 5, 1285, 114955, 6235, 119718, 39083, 2882, 193178, 7201, 65482, 20315, 44779, 73784, 163139, 35189, 8903, 28317, 125830, 49792, 104855, 3120, 41764, 75230, 67873, 5, 1285, 114955, 506, 26612, 18406, 6235, 4484, 75230, 23741, 496, 564, 75230, 2932, 16667, 6, 238144, 36419, 12023, 43375, 39340, 2200, 496, 564, 75230, 2932, 16667, 7508, 75230, 18415, 5, 119718, 710, 21066, 564, 75230, 2932, 16667, 12023, 43375, 39340, 364, 26612, 18406, 1285, 114955, 6235, 4484, 75230, 23741, 32, 1197, 292, 1112, 292, 2358, 5, 5, 1126, 6, 5, 363, 6, 5, 966, 1369, 1112, 292, 1496, 2203, 496, 292, 836, 2203, 387, 292, 496, 1369, 836, 6, 7961, 5757, 2203, 496, 292, 1112, 2203, 387, 292, 1112, 1369, 496, 292, 2248, 292, 496, 292, 2358, 292, 387, 292, 2358, 1369, 496, 292, 2510, 292, 496, 292, 496, 292, 710, 387, 292, 757, 194, 2681, 6, 5, 1530, 6, 5, 1662, 1369, 209, 292, 2358, 292, 836, 292, 2248, 292, 387, 292, 1112, 1369, 836, 292, 496, 292, 209, 292, 805, 292, 1112, 292, 836, 2451, 1112, 292, 757, 16, 292, 387, 805, 292, 496, 292, 2358, 2451, 1112, 292, 805, 2203, 1112, 292, 2248, 292, 209, 292, 361, 122887, 2451, 209, 292, 387, 2451, 209, 292, 496, 2451, 209, 292, 1496, 2451, 209, 292, 496, 5, 963, 2451, 387, 292, 496, 2451, 496, 292, 496, 2451, 387, 292, 836, 2451, 496, 292, 757, 16, 2592, 5, 1470, 10498, 15435, 37826, 6235, 4484, 75230, 23741, 805, 16175, 5666, 159696, 39340, 2050, 3069, 10339, 142429, 78683, 905, 46598, 92500, 7369, 37826, 6681, 3111, 56169, 7227, 16175, 5666, 159696, 39340, 2050, 5, 163139, 21066, 16175, 5666, 159696, 39340, 2050, 364, 26612, 2050, 7369, 113889, 4667, 2205, 9934, 71577, 59929, 32, 86070, 4113, 6, 26394, 47526, 123329, 2205, 7508, 6093, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 78278, 805, 617, 874, 39083, 3069, 116, 6, 26394, 47526, 123329, 3056, 382, 6, 26394, 47526, 123329, 5, 4836, 292, 6, 5, 102692, 1369, 209, 4231, 305, 2203, 496, 116, 1369, 209, 2203, 1112, 4231, 116, 2451, 2203, 836, 116, 1369, 209, 6, 5, 483, 2203, 496, 6, 5, 80308, 5, 68107, 1369, 209, 116, 1369, 209, 2451, 209, 201, 1369, 209, 4859, 5, 8248, 13497, 7682, 3056, 19532, 75230, 2702, 8903, 7201, 29766, 1211, 3120, 81444, 63020, 47833, 1470, 75230, 2702, 21066, 23964, 6319, 54260, 1211, 119718, 20961, 36326, 5, 230764, 138, 1470, 75230, 57277, 2702, 160238, 1211, 3069, 496, 6, 149364, 4852, 68558, 5, 163139, 21066, 6, 149364 ]

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

[ 4852, 68558, 160238, 1211, 2808, 75230, 33225, 6, 146598, 21066, 23964, 32, 910, 5, 7265, 4838, 564, 165592, 31212, 2205, 7508, 40096, 5666, 7201, 23173, 1982, 183512, 3056, 120202, 8903, 21066, 75230, 15388, 47833, 1470, 75230, 2702, 7201, 34709, 1644, 25603, 2932, 5, 3120, 187483, 6093, 2205, 29434, 54260, 1470, 6093, 137377, 71804, 49008, 3069, 387, 6, 149364, 4852, 68558, 2200, 2808, 6, 59919, 16932, 1470, 6093, 137377, 21295, 1211, 37826, 7265, 139449, 209, 6, 149364, 4852, 68558, 5, 163139, 21066, 187483, 6093, 220224, 49008, 1470, 159696, 4484, 8903, 21066, 75230, 15388, 32, 966, 5, 4151, 16175, 174121, 37826, 6235, 506, 40096, 190, 27702, 20260, 113889, 28320, 3069, 387, 6, 59094, 64260, 13159, 5, 6, 150839, 64260, 6235, 4484, 75230, 23741, 4838, 3373, 159696, 16932, 56170, 2358, 6, 59094, 64260, 13159, 5, 163139, 21066, 6, 59094, 64260, 13159, 3056, 70845, 8903, 90536, 18406, 32, 1019, 5, 1285, 67882, 24621, 37826, 6235, 119718, 39083, 2882, 6319, 75230, 33225, 9424, 238144, 657, 54260, 192956, 2442, 3069, 836, 6, 59094, 64260, 13159, 4, 3373, 26, 506, 29771, 18406, 11265, 95298, 1470, 75230, 2702, 8903, 61541, 2882, 387, 6, 59094, 64260, 13159, 5, 37826, 22753, 6235, 4484, 75230, 23741, 2808, 54260, 1211, 657, 54260, 44779, 5, 163139, 21066, 6, 59094, 64260, 13159, 3056, 11265, 6235, 90536, 18406, 32, 14556, 963, 1369, 1112, 292, 387, 657, 1369, 836, 292, 1112, 6, 5, 116, 1369, 1496, 292, 496, 6, 5, 4669, 292, 836, 787, 1126, 3559, 2203, 963, 123363, 6, 5, 67910, 6, 5, 84988, 6, 5, 116, 26394, 47526, 123329, 2200, 1470, 54260, 112690, 39340, 2205, 54745, 17824, 65482, 8580, 3120, 9424, 39083, 1211, 78278, 805, 534, 12825, 6, 26394, 47526, 123329, 2200, 382, 26612, 40920, 2200, 9424, 119718, 171433, 10918, 4484, 1372, 304, 6, 26394, 47526, 123329, 2200, 483, 5666, 54260, 1211, 2200, 9424, 119718, 171433, 10918, 4484, 1702, 363, 6, 26394, 47526, 123329, 13982, 54260, 150541, 363, 6, 26394, 47526, 123329, 2200, 106, 2808, 54260, 1211, 2200, 29434, 54260, 150541, 138, 2681, 9424, 43178, 50853, 123329, 2200, 116, 8300, 238144, 2200, 29434, 54260, 150541, 2789, 116329, 6, 26394, 47526, 125897, 2200, 1470, 54260, 112690, 39340, 2205, 7508, 6093, 97995, 65482, 7611, 3120, 9424, 39083, 1211, 7501, 805, 963, 483, 382, 361, 305, 190, 201, 138, 116, 5390, 953, 543, 729, 611, 423, 616, 702, 427, 534, 2839, 5606, 4520, 4669, 1388, 363, 2273, 4442, 3912, 2789, 138, 19236, 7218, 4572, 7657, 1388, 617, 2678, 5896, 6260, 4828, 201, 43243, 11937, 12045, 12661, 11716, 5684, 7911, 12069, 10031, 305, 39425, 17446, 15111, 14154, 14810, 4948, 15124, 14929, 9464, 361, 66951, 17853, 14073, 18825, 17281, 2273, 14885, 19251, 15751, 16503, 3559, 10078, 16193, 14819, 13549, 9199, 16064, 17461, 15671, 120138, 5, 22518, 54260, 1982, 6, 68558, 657, 75230, 28320, 68248, 1285, 9424, 39083, 1211, 3120, 836, 78278, 1496, 5, 5442, 22518, 54260, 1982, 6, 68558, 657, 75230, 28320, 68248, 1285, 9424, 39083, 1211, 3120, 4948, 78278, 9365, 28705, 657, 54260, 1982, 109316, 657, 54260, 35596, 1470, 12023, 10813, 230764, 4151, 1381, 16932, 220224, 2882, 5, 119055, 13845, 107581, 159696, 2882, 220224, 1211, 1285, 6, 238144, 16932, 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 ]

[ 125897, 220224, 2882, 32, 617, 5, 657, 17645, 1982, 109316, 657, 54260, 35596, 1470, 12023, 10813, 230764, 4151, 1381, 63188, 220224, 2882, 5, 119055, 13845, 107581, 14004, 6235, 159696, 1211, 1285, 129165, 38054, 125897, 220224, 2882, 32, 758, 5, 9424, 54260, 1644, 40653, 2200, 22518, 54260, 1982, 6, 68558, 4, 163139, 21066, 6, 105235, 39340, 44779, 3373, 26, 4852, 54260, 49008, 56170, 47351, 43652, 9424, 54260, 1644, 40653, 2200, 22518, 54260, 1982, 6, 68558, 4, 163139, 21066, 6, 105235, 39340, 44779, 3373, 26, 4852, 54260, 49008, 56170, 47351, 5, 26394, 47526, 123329, 2200, 1470, 54260, 112690, 39340, 2205, 4151, 17824, 65482, 8580, 3120, 9424, 39083, 1211, 7501, 805, 534, 12183, 5, 9424, 54260, 1644, 40653, 6428, 59929, 182731, 2205, 148932, 6, 123988, 5, 20840, 6, 26394, 47526, 123329, 2200, 1470, 54260, 112690, 39340, 2205, 7508, 6093, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 7501, 805, 2702, 3373, 3373, 3373, 3373, 2702, 3373, 2702, 2702, 3373, 2702, 3373, 3373, 3373, 3373, 3373, 2702, 3373, 3373, 3373, 16, 2702, 2702, 2702, 2702, 132, 2702, 2702, 2702, 2702, 2702, 3373, 3373, 16, 2702, 2702, 2702, 2702, 132, 16, 2932, 418, 5, 9424, 54260, 1644, 40653, 1285, 21776, 20315, 44779, 9424, 54260, 1644, 213952, 220224, 9424, 141943, 105330, 238144, 4852, 5, 5442, 9424, 54260, 1644, 40653, 1285, 112216, 150541, 44779, 5, 1031, 9424, 54260, 1644, 40653, 1285, 112216, 150541, 44779, 5, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 8580, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 132, 1211, 1211, 418, 1211, 1211, 1211, 1211, 1211, 4667, 8580, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 8580, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 1211, 617, 5, 9424, 54260, 12984, 6, 68558, 1438, 112216, 150541, 44779, 45955, 9424, 54260, 12984, 6, 68558, 9464, 112216, 150541, 44779, 43652, 9424, 54260, 12984, 6, 68558, 805, 112216, 150541, 44779, 5, 2648, 120467, 6681, 21847, 54260, 12984, 657, 65482, 12483, 1530, 1662, 5, 95455, 220224, 49008, 1285, 27702, 119718, 905, 80885, 6319, 75230, 1644, 23405, 62763, 1211, 137, 170355, 1982, 4852, 23269, 112304, 17800, 2909, 119055, 13845, 104238, 6319, 75230, 51723, 3056, 4151, 17288, 4944, 82576, 32, 119055, 13845, 104238, 4151, 24012, 35189, 7682, 82576, 32, 5442, 3373, 26, 119718, 92605, 16803, 95455, 3523, 54260, 4113, 119055, 69596, 4113, 5, 95455, 220224, 49008, 1285, 364, 54260, 168155, 230764, 35189, 46711, 59929, 4113, 119055, 905, 2451, 39293, 2882, 15, 112304, 17800, 112388, 194, 119055, 13845, 4944, 13159, 364, 75230, 4852, 3056, 81444, 13458, 54260, 2882, 80885, 32, 119055, 13845, 4944, 13159, 6428, 59929, 85596, 1644, 80885, 32, 363, 5, 119055, 13845, 104238, 564, 21106, 37016, 3056, 4151, 657, 141847, 82576, 32, 119055, 13845, 104238, 4151, 16580, 29025, 82576, 32, 13845, 6093, 5, 119055, 13845, 104238, 3056, 10069, 16667, 16932, 32, 108837, 2648, 120467, 6681, 21847, 54260, 18406, 657, 65482, 12483, 2648, 120467, 14856, 119364, 657, 76632, 12483, 48636, 150715, 3056, 1470, 6, 26394, 50778, 24621, 16932, 87311, 2702, 5, 35189, 132025, 2932, 21660, 54260, 30741, 16932, 43449, 54260, 6093, 37826, 423, 6, 26394, 50778, 24621, 16932 ]

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

[ 10069, 657, 141847, 22892, 657, 54260, 2932, 3069, 6428, 54260, 1211, 43449, 54260, 6093, 3069, 4151, 874, 120467, 2200, 6, 225975, 4, 163139, 21066, 26394, 50778, 24621, 16932, 37826, 7369, 1285, 657, 141847, 5, 35189, 564, 25207, 2932, 3120, 1470, 17824, 75230, 2702, 6319, 119273, 109316, 84475, 3120, 9424, 238144, 21733, 54260, 23269, 115222, 80885, 44779, 2205, 21776, 65755, 4113, 23741, 3056, 1470, 6, 26394, 50778, 24621, 16932, 5, 35189, 6, 48253, 119718, 218241, 230764, 4151, 9424, 54260, 4944, 43178, 17310, 37826, 190, 6, 26394, 50778, 24621, 16932, 4231, 657, 141847, 5, 292, 5442, 163139, 21066, 6, 26394, 50778, 24621, 16932, 37826, 1285, 17824, 75230, 36419, 4838, 2932, 48775, 42410, 4113, 32, 363, 5, 163139, 21066, 6, 26394, 50778, 24621, 16932, 364, 40096, 1285, 19302, 54260, 23269, 4838, 2932, 48775, 42410, 4113, 32, 617, 5, 163139, 21066, 6, 26394, 50778, 24621, 16932, 37826, 1285, 41764, 65482, 32, 758, 5, 9721, 141847, 19532, 54260, 1211, 2205, 19302, 59929, 1285, 657, 48904, 8903, 6, 26394, 50778, 24621, 16932, 87311, 2702, 5, 109589, 2648, 120467, 14856, 119364, 657, 76632, 12483, 2808, 14856, 16932, 37826, 805, 6, 26394, 50778, 24621, 16932, 22892, 6, 238144, 4852, 230764, 4151, 874, 120467, 1470, 4269, 48904, 64213, 14856, 16932, 5, 5442, 6, 5, 238144, 4852, 230764, 4151, 874, 120467, 836, 6, 26394, 50778, 24621, 16932, 28705, 6, 238144, 4852, 230764, 4151, 874, 120467, 4039, 6, 26394, 50778, 24621, 16932, 29485, 6, 238144, 4852, 230764, 4151, 874, 120467, 7911, 6, 26394, 50778, 24621, 16932, 45955, 874, 119273, 120202, 1285, 657, 141847, 2200, 1285, 9721, 54260, 2882, 3120, 17288, 23741, 43652, 874, 119273, 120202, 1285, 657, 141847, 2200, 1285, 9721, 54260, 2882, 3120, 4151, 32887, 39340, 53489, 874, 119273, 120202, 1285, 364, 54260, 4667, 3120, 6, 147502, 52196, 874, 119273, 120202, 1285, 364, 54260, 4667, 3120, 4151, 27702, 20260, 5, 26394, 47526, 123329, 2200, 1470, 54260, 112690, 39340, 2205, 54745, 3523, 65482, 8580, 3120, 9424, 39083, 1211, 7501, 805, 15732, 2588, 292, 190, 6, 1211, 76924, 292, 387, 7508, 45334, 292, 61391, 1369, 190, 1112, 2358, 292, 361, 292, 2358, 1369, 382, 6, 1211, 209, 1369, 361, 6, 1211, 387, 1369, 305, 6, 1211, 496, 5, 304, 1369, 201, 6, 1211, 1496, 2451, 106, 6, 1211, 387, 1369, 190, 292, 2510, 758, 5, 6, 172060, 20315, 44779, 7265, 1751, 159696, 30750, 44779, 56170, 4484, 75230, 23741, 18225, 2205, 41764, 37016, 44779, 3069, 963, 6, 172060, 20315, 44779, 5, 874, 26, 506, 64260, 56170, 4484, 75230, 23741, 305, 4269, 48904, 26394, 41764, 37016, 44779, 2200, 125523, 3373, 6, 172060, 20315, 44779, 3120, 6, 47351, 132025, 8903, 506, 75230, 18406, 6, 109636, 21733, 5, 163139, 21066, 6, 172060, 20315, 44779, 7265, 1751, 159696, 30750, 44779, 37826, 51723, 56170, 4484, 75230, 23741, 32, 758, 2203, 387, 292, 714, 1549, 292, 190, 292, 714, 38331, 210257, 1369, 209, 292, 611, 2203, 382, 292, 543, 292, 201, 292, 7911, 1369, 496, 292, 3912, 2203, 106, 292, 8651, 292, 138, 292, 14929, 1369, 1496, 292, 11716, 2203, 201, 292, 5896, 292, 116, 292, 15751, 1369, 387, 292, 714, 2203, 116, 292, 9464, 2203, 106, 292, 483, 36053, 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 ]

[ 2205, 1470, 131397, 220224, 49008, 6235, 159696, 1211, 9424, 238144, 120202, 2882, 54260, 1644, 109226, 3120, 7369, 29659, 1211, 19302, 59929, 5, 95766, 1470, 54260, 1211, 120202, 2882, 54260, 1644, 17310, 220224, 49008, 6235, 159696, 1211, 9174, 363, 114955, 4, 1470, 16562, 4151, 9424, 54260, 54260, 16932, 137377, 2882, 54260, 1644, 17310, 220224, 49008, 6235, 159696, 1211, 7265, 653, 114955, 163139, 57619, 123329, 5, 163139, 21066, 114955, 4852, 54260, 49008, 6235, 159696, 1211, 2205, 4151, 9424, 238144, 16932, 120202, 2882, 54260, 1644, 17310, 32, 77344, 6, 26394, 47526, 125897, 2200, 1470, 54260, 112690, 39340, 2205, 4151, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 7501, 805, 418, 5, 1470, 21776, 16803, 29766, 47351, 37826, 27702, 8300, 39083, 2882, 361, 6, 59094, 64260, 13159, 6681, 17824, 24295, 119718, 23173, 2932, 2200, 1549, 6, 59094, 64260, 13159, 56170, 45521, 125830, 5, 163139, 21066, 37826, 7369, 27702, 8300, 39083, 2882, 3069, 235210, 12483, 32, 5442, 83066, 6, 105780, 59919, 59094, 64260, 13159, 2200, 83066, 9424, 238144, 6093, 59094, 64260, 13159, 292, 163139, 21066, 6, 59094, 64260, 13159, 3056, 95455, 3069, 235210, 12483, 32, 363, 5, 29434, 54260, 9424, 119718, 171433, 10918, 75290, 6, 59094, 64260, 13159, 2200, 83066, 9424, 238144, 6093, 59094, 64260, 46598, 292, 119718, 710, 21066, 9934, 71804, 105439, 3056, 95455, 3069, 235210, 12483, 32, 617, 5, 2205, 1470, 32899, 216501, 220224, 49008, 81444, 190, 6, 170355, 67873, 5, 2205, 83066, 6, 170355, 67873, 187483, 1211, 3069, 1549, 187483, 6093, 2200, 2205, 10184, 217814, 1211, 133190, 3217, 163139, 21066, 187483, 6093, 187483, 1211, 2205, 35189, 32899, 216501, 32, 758, 5, 230764, 4151, 564, 183718, 2882, 215726, 220224, 49008, 74806, 57277, 49008, 138, 17824, 54260, 18415, 3069, 15388, 13342, 496, 119055, 26612, 2932, 239162, 1211, 2200, 230764, 1470, 220224, 46545, 6093, 3944, 142170, 220224, 49008, 74806, 57277, 49008, 361, 119055, 26612, 2932, 239162, 1211, 5, 163139, 21066, 119055, 26612, 2932, 239162, 1211, 220224, 49008, 74806, 57277, 49008, 230764, 4151, 48706, 215726, 32, 910, 5, 3373, 26, 4852, 54260, 49008, 6235, 7201, 29766, 1211, 9424, 238144, 1470, 75230, 97634, 164874, 1211, 5, 2205, 6, 17645, 35465, 1470, 75230, 97634, 164874, 4852, 54260, 49008, 6235, 39293, 46053, 3069, 1112, 6, 149364, 4852, 68558, 2200, 74806, 57277, 49008, 3069, 138, 6, 149364, 4852, 68558, 5, 163139, 21066, 59919, 4852, 68558, 220224, 49008, 6235, 7201, 29766, 1211, 2205, 1285, 1470, 75230, 97634, 164874, 1211, 32, 966, 5, 6, 105780, 6293, 1470, 75230, 97634, 2702, 57973, 6235, 2648, 23173, 23741, 3069, 101470, 3120, 1470, 15864, 2932, 2808, 109995, 3069, 209, 7201, 13159, 44779, 7265, 10184, 3131, 4, 3373, 26, 506, 26612, 18406, 95298, 1470, 75230, 2702, 8903, 61541, 2882, 10184, 3131, 2200, 1470, 54260, 1211, 1470, 75230, 97634, 506, 64260, 6, 139449, 7265, 83066, 45521, 2702, 44779, 163139, 57619, 123329, 5, 163139, 21066, 45521, 2702, 44779, 7265, 10184, 15908, 29771, 18406, 3069, 139449, 1285, 1470, 75230, 57277, 2702, 32, 5, 963, 2451, 836, 6, 1211, 305, 292, 4039, 1369, 387, 292, 361, 292, 10149, 2451, 496, 6, 1211, 138, 292, 14929, 2451, 2510, 292, 483, 292, 10078, 5, 2681, 2451, 483, 292, 1112, 6, 1211, 836, 1369, 361, 292, 496 ]

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

[ 292, 387, 2451, 9934, 387, 292, 1112, 2451, 106, 292, 209, 6, 1211, 382, 143161, 1369, 2358, 292, 387, 190, 1369, 1496, 292, 209, 138, 2451, 836, 292, 496, 6, 5, 116, 2451, 1112, 387, 6, 5, 787, 1530, 2451, 1112, 6, 1211, 209, 190, 2451, 496, 6, 1211, 387, 6, 5, 138, 1369, 209, 6, 1211, 496, 6, 5, 138, 1369, 387, 292, 387, 6, 5, 138, 2451, 483, 6, 1211, 496, 4231, 138, 1369, 382, 292, 387, 6, 5, 201, 2451, 361, 6, 1211, 209, 361, 2451, 292, 387, 6, 5, 1031, 1662, 2451, 1496, 6, 1211, 190, 7508, 201, 1369, 305, 292, 6, 5, 138, 2451, 2248, 6, 5, 12338, 292, 7201, 23173, 16629, 2648, 65482, 1470, 75230, 7201, 119859, 1982, 13159, 1530, 15770, 5, 230764, 1470, 657, 48904, 15388, 119055, 29771, 15388, 220224, 49008, 6235, 159696, 1211, 427, 114955, 5, 3069, 6093, 29659, 220224, 49008, 2442, 137377, 8903, 8903, 26612, 183216, 9424, 238144, 4, 1751, 109636, 16932, 6, 105780, 6293, 114955, 5, 163139, 21066, 114955, 220224, 49008, 8903, 90536, 18406, 1470, 75230, 33225, 119055, 29771, 15388, 32, 5442, 230764, 1470, 119055, 29771, 15388, 220224, 49008, 6235, 159696, 1211, 427, 114955, 5, 361, 114955, 220224, 49008, 1470, 90848, 7201, 69355, 119055, 29771, 15388, 5, 163139, 21066, 114955, 220224, 49008, 6235, 90536, 18406, 1470, 75230, 33225, 119055, 29771, 15388, 32, 363, 5, 1470, 32097, 1285, 131397, 1982, 54260, 2882, 44779, 57973, 6235, 4852, 39083, 2882, 187483, 1211, 427, 874, 54260, 2648, 44779, 92500, 6428, 6, 54260, 23405, 44779, 4, 95298, 83066, 114955, 220224, 49008, 19532, 75230, 2702, 8903, 7201, 29766, 1211, 7265, 1285, 13845, 16932, 1211, 5, 163139, 21066, 114955, 57973, 6235, 23173, 1982, 29060, 230764, 1285, 564, 54260, 2882, 44779, 32, 617, 5, 7544, 16747, 109316, 37826, 120202, 2932, 21660, 54260, 21295, 1285, 7508, 75230, 56880, 4, 119055, 13845, 107581, 57973, 7746, 6, 26394, 1982, 69181, 95766, 220273, 28320, 5, 1285, 7508, 75230, 56880, 220224, 49008, 6235, 905, 218241, 46053, 2205, 29434, 54260, 34654, 12483, 5, 2205, 9424, 238144, 7508, 54260, 12483, 506, 29771, 18406, 7746, 6, 26394, 1982, 69181, 3069, 305, 7508, 75230, 56880, 4, 2205, 4151, 29434, 710, 16932, 7508, 54260, 6428, 7508, 75230, 56880, 5, 163139, 21066, 26394, 90536, 18415, 7508, 75230, 56880, 220224, 49008, 6235, 159696, 1211, 32, 758, 5, 2205, 4838, 220273, 28320, 57973, 7746, 6, 26394, 1982, 69181, 19024, 7972, 46598, 5, 2205, 29434, 54260, 7508, 54260, 12483, 506, 29771, 18406, 160751, 69181, 3069, 190, 19024, 7972, 46598, 2200, 2205, 4151, 6, 59919, 16932, 1398, 874, 26, 506, 64260, 120202, 8903, 117260, 28320, 611, 19024, 7972, 13159, 5, 163139, 21066, 6, 130929, 188301, 4113, 19024, 7972, 46598, 220224, 49008, 6235, 90536, 18406, 32, 910, 5, 874, 54260, 20315, 44779, 220224, 49008, 4838, 159696, 4484, 230764, 6, 47351, 1470, 75230, 2702, 21066, 23964, 5, 3120, 160238, 13497, 220224, 49008, 8903, 240863, 12483, 116, 874, 54260, 20315, 44779, 7265, 4151, 6, 44478, 6093, 8580, 4, 2200, 125523, 220224, 190, 7508, 54260, 12483, 3069, 363, 874, 54260, 20315, 44779, 5, 163139, 21066, 6, 149364, 4852, 68558, 220224, 49008, 6235, 240863, 12483, 1470, 75230, 33225, 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, 21066, 23964, 32, 966, 5, 2205, 7369, 29659, 1211, 19302, 59929, 220224, 49008, 6235, 159696, 1211, 387, 6, 54260, 23405, 44779, 2200, 729, 874, 54260, 2648, 44779, 5, 2808, 75230, 6293, 45521, 12415, 12483, 160238, 1211, 2205, 1285, 10213, 48974, 382, 6, 54260, 23405, 44779, 2200, 364, 874, 54260, 2648, 44779, 5, 1285, 40653, 125897, 114955, 160238, 1211, 73784, 6, 448, 5, 163139, 21066, 6, 54260, 23405, 44779, 2200, 163139, 21066, 874, 54260, 2648, 44779, 56170, 1211, 13342, 2050, 6, 448, 32, 81764, 7201, 23173, 16629, 2648, 65482, 1470, 75230, 7201, 119859, 1982, 13159, 418, 5, 114955, 193178, 7213, 55823, 44779, 3120, 6, 172060, 20315, 44779, 152, 387, 114955, 57973, 8903, 101296, 40920, 3069, 106, 7213, 61541, 4113, 4, 6, 105780, 6293, 3069, 116, 7213, 55823, 44779, 2200, 29434, 54260, 3069, 138, 7213, 55823, 44779, 5, 119718, 710, 21066, 7213, 55823, 44779, 364, 26612, 18406, 6235, 101296, 40920, 51963, 114955, 3069, 235210, 12483, 32, 17645, 20315, 41764, 75230, 1644, 40697, 6, 123559, 16932, 40697, 7213, 6293, 37826, 215031, 27702, 83182, 4113, 5, 5442, 4231, 167622, 109316, 37826, 6235, 104149, 2205, 117902, 33716, 543, 3373, 42695, 506, 3131, 131539, 4, 116, 112216, 2702, 165592, 153796, 3131, 131539, 2200, 361, 7213, 33225, 130170, 4151, 41764, 75230, 1644, 152185, 6, 123559, 16932, 152185, 1982, 183512, 123073, 5, 3373, 26, 4852, 54260, 49008, 4838, 159696, 4484, 23269, 3131, 119718, 905, 51723, 305, 6, 51437, 26659, 3131, 131539, 2200, 106, 112216, 2702, 165592, 153796, 3131, 32097, 5, 163139, 21066, 7213, 33225, 220224, 49008, 6235, 90536, 18406, 2205, 117902, 33716, 32, 13342, 235210, 43178, 105235, 1644, 17310, 3120, 67882, 16932, 710, 21106, 418, 5, 3069, 23847, 54260, 2882, 17310, 96743, 16011, 109226, 5, 13342, 74004, 18279, 43178, 1644, 54260, 15388, 34654, 6319, 43178, 110970, 57277, 50856, 1211, 24464, 1470, 6, 235210, 1644, 17310, 2205, 1470, 7508, 54260, 153, 13342, 235210, 43178, 1644, 54260, 15388, 1285, 115222, 2932, 5666, 29659, 183512, 1211, 24464, 1470, 6, 235210, 1644, 17310, 2205, 4838, 27702, 29659, 710, 188201, 29766, 20315, 3111, 23405, 3056, 1470, 3069, 23847, 54260, 2882, 17310, 73784, 9424, 54260, 67873, 5, 6235, 7511, 2882, 109226, 230764, 192183, 25616, 213783, 12, 13342, 235210, 43178, 1644, 54260, 15388, 115222, 2932, 5666, 29659, 183512, 1211, 2205, 1470, 7508, 54260, 4, 132025, 42180, 1211, 30109, 13845, 1211, 230764, 4838, 10339, 142429, 448, 132, 141562, 40920, 1211, 24464, 48494, 1982, 71512, 247, 1751, 109636, 16932, 6235, 7511, 2882, 109226, 230764, 1470, 9424, 54260, 4944, 43178, 17310, 12, 190800, 42180, 1211, 2808, 42572, 142429, 448, 37729, 30109, 13845, 1211, 5, 64044, 21847, 54260, 18406, 6, 235210, 1644, 109226, 7265, 7508, 6093, 11211, 108968, 3120, 58826, 152656, 117902, 61621, 153, 5, 31157, 14004, 1982, 109226, 2205, 3069, 74004, 24621, 5927, 48904, 2932, 7265, 1285, 9424, 54260, 4944, 43178, 109226, 12, 199145, 3056, 81444, 46685, 292, 6, 73906, 51723, 21422, 6, 73906, 96302, 4113, 22426, 32, 213909, 57277, 119132, 21422, 38211, 9221, 99611, 44779, 32, 113889, 1982, 11556, 47332, 53414, 34654, 6235, 8903, 1982, 65482, 6, 170355, 17160, 17310, 7265, 7508, 6093, 11211, 108968, 3120, 9424, 54260, 63849, 171433, 25616, 213783, 14594, 8300, 54260, 4944, 43178, 17310 ]

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

[ 12, 148932, 4231, 214766, 37826, 6235, 506, 40096, 1470, 6, 105235, 38249, 292, 3373, 26, 4852, 54260, 49008, 6235, 159696, 1211, 54595, 75230, 46590, 6, 54260, 23405, 44779, 4, 163139, 21066, 6, 15907, 37016, 66293, 220224, 57973, 40653, 8903, 212484, 2882, 15, 4852, 54260, 2882, 49413, 5, 8903, 7511, 2882, 109226, 12, 42572, 159870, 37016, 1211, 7265, 6, 105235, 39340, 44779, 1470, 6, 74004, 17017, 17310, 3120, 30109, 13845, 1211, 230764, 4151, 8300, 54260, 4944, 43178, 17310, 6, 238144, 2882, 711, 418, 4, 24464, 38211, 9221, 99611, 44779, 84475, 6, 78683, 29659, 48904, 13159, 15, 4852, 54260, 2882, 4879, 4, 73784, 72507, 292, 6, 113889, 140136, 16932, 1211, 1470, 6, 74004, 17017, 17310, 7265, 4151, 11211, 108968, 24464, 112216, 150541, 44779, 5, 5442, 184639, 9424, 141943, 105330, 5, 8300, 26612, 9183, 2205, 7508, 6093, 17824, 171428, 78278, 1892, 3069, 8903, 18406, 2200, 19532, 137377, 101470, 86520, 5, 8300, 39083, 1211, 106, 4, 9424, 4, 138, 4, 711, 4, 364, 5, 55242, 22849, 16011, 188301, 4113, 9213, 1982, 109226, 3120, 1285, 114955, 4, 4151, 135249, 3069, 8903, 22426, 59929, 18415, 3069, 67826, 28726, 27702, 36326, 23741, 7682, 109226, 12, 9424, 54260, 67873, 4, 115222, 2932, 5666, 29659, 183512, 1211, 4, 3069, 235210, 43178, 1644, 54260, 15388, 9424, 54260, 63849, 171433, 25616, 213783, 84475, 9424, 54260, 4944, 171428, 115222, 2932, 5666, 13497, 48904, 61621, 657, 75230, 2882, 4151, 132025, 8903, 8903, 1982, 114436, 9424, 39083, 220224, 6093, 6093, 15, 8300, 5, 1982, 5, 9424, 54260, 4944, 171428, 711, 4113, 22426, 1644, 3142, 9424, 119718, 75322, 43178, 2442, 54260, 15388, 9424, 23173, 109600, 35189, 41764, 2884, 2808, 54260, 112690, 39340, 34654, 183216, 15, 2442, 123073, 44779, 2205, 4151, 364, 54260, 4667, 2200, 2190, 198093, 3142, 22518, 54260, 18406, 21422, 36909, 53414, 132, 21847, 54260, 4667, 2205, 1470, 3523, 23173, 101296, 25207, 56170, 2050, 292, 6, 47351, 1470, 42572, 54260, 6093, 103023, 1211, 6, 80453, 52480, 111179, 119718, 15533, 52541, 37271, 88660, 20260, 2442, 29060, 15533, 52541, 1285, 207748, 146079, 46598, 24464, 3069, 8903, 18406, 2200, 6, 23173, 137377, 101470, 7265, 4151, 11211, 108968, 36909, 2884, 9424, 54260, 63849, 171433, 25616, 213783, 5, 15, 13342, 55049, 1211, 564, 54260, 2050, 3069, 8903, 18406, 4, 120202, 55049, 1211, 564, 54260, 2050, 19532, 137377, 101470, 26, 29771, 35189, 230764, 9424, 54260, 4944, 43178, 109226, 15, 8300, 238144, 6, 139485, 22426, 13159, 3120, 6, 170355, 12984, 564, 54260, 2050, 3069, 8903, 18406, 4, 42572, 20961, 120580, 54260, 18406, 564, 54260, 2050, 19532, 137377, 101470, 2077, 40653, 25391, 54260, 18406, 207748, 146079, 46598, 230764, 3069, 8903, 18406, 2200, 20961, 137377, 101470, 159308, 6681, 4113, 4944, 171428, 1285, 21776, 124740, 57277, 28320, 15, 144754, 7508, 6093, 11211, 108968, 3120, 9424, 54260, 1644, 5, 88660, 20260, 25207, 28320, 194, 11265, 72158, 23822, 52541, 7265, 9424, 54260, 1982, 43178, 109226, 10676, 87481, 186955, 3120, 1470, 75230, 7201, 119859, 1982, 13159, 5, 8300, 39083, 1211, 2205, 7508, 6093, 97995, 171428, 78278, 757, 1211, 5, 3069, 8903, 18406, 2200, 19532, 137377, 101470, 34654, 9424, 39083, 1211, 1054, 5, 3131, 5, 7508, 5, 1892, 95766, 7508, 6093, 17824, 65482, 710, 3120, 9424, 39083, 112707, 6, 121740 ]

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

[ 30147, 31157, 2808, 3947, 75230, 1211, 34654, 6235, 7511, 2882, 109226, 3120, 10676, 6, 56052, 4, 199145, 2205, 7508, 6093, 42572, 54260, 6093, 103023, 29060, 54260, 1644, 4, 9356, 238144, 56880, 7746, 207748, 53521, 13159, 7265, 1470, 6319, 119273, 13845, 1470, 75230, 19532, 54260, 57619, 72158, 126700, 1211, 34654, 10705, 2865, 25491, 119718, 905, 80885, 9424, 23173, 4, 2205, 3069, 74004, 24621, 5927, 48904, 2932, 7265, 1285, 7038, 40920, 12483, 119055, 53414, 6, 37016, 75322, 43178, 43955, 13342, 235210, 43178, 105235, 1644, 17310, 3120, 67882, 16932, 137218, 119425, 54196, 6235, 7511, 2882, 109226, 230764, 8248, 12984, 2190, 36909, 12130, 3120, 6, 26394, 97594, 35189, 1211, 1470, 6235, 8903, 1982, 65482, 9424, 39083, 13342, 8903, 1982, 93497, 15, 8300, 5, 1982, 5, 190, 3056, 711, 292, 106, 4, 138, 116, 4, 1751, 2451, 106, 6, 1211, 13956, 5, 1982, 75322, 6093, 4484, 17310, 12, 1285, 9356, 8300, 54260, 4944, 43178, 17310, 3120, 4151, 9424, 39083, 209, 83066, 2882, 18225, 19532, 54260, 1211, 14081, 2702, 47833, 1470, 54260, 5927, 54260, 2882, 28726, 12984, 177157, 1982, 39083, 292, 6, 68558, 47833, 6, 208048, 1644, 15533, 5, 8300, 54260, 67873, 182731, 6, 96561, 96561, 7218, 35189, 76776, 57619, 1211, 95455, 3069, 8903, 18406, 2200, 19532, 137377, 101470, 2205, 4151, 97995, 171428, 3120, 9424, 39083, 1211, 78278, 209, 836, 1982, 54260, 2050, 3069, 8903, 18406, 24464, 10676, 6, 56052, 4, 163139, 9424, 5, 564, 5, 305, 292, 418, 192183, 12483, 1285, 114955, 40653, 128540, 1285, 3069, 8903, 1982, 93497, 74, 874, 26, 94741, 63020, 220224, 95298, 7243, 132025, 119718, 23173, 33225, 10676, 2190, 152656, 78278, 4852, 54260, 6, 159696, 67873, 5950, 54260, 1211, 3069, 70845, 4151, 2932, 54260, 1211, 5, 564, 54260, 2050, 19532, 137377, 101470, 24464, 10676, 78104, 22426, 4, 163139, 8300, 5, 1982, 5, 305, 292, 209, 3056, 4151, 212484, 1982, 23173, 3069, 6, 186145, 152656, 10676, 21776, 124740, 2882, 40096, 24464, 6, 23173, 137377, 101470, 132, 119718, 710, 21066, 42572, 13845, 2882, 78278, 209, 32, 247, 44438, 3373, 26, 4852, 21106, 1751, 109636, 16932, 160238, 104378, 1470, 192183, 226112, 1644, 37729, 13342, 8903, 18406, 5, 25491, 3131, 54260, 35465, 1470, 75230, 150020, 34557, 46598, 7265, 9424, 238144, 364, 183512, 1644, 109226, 6, 104664, 31157, 6428, 758, 80453, 15231, 27105, 125897, 27702, 23173, 1982, 29060, 17310, 24464, 1285, 9424, 39083, 1211, 12, 51748, 5, 3217, 483, 4, 209, 2200, 9213, 1982, 109226, 230764, 13342, 8903, 18406, 2200, 19532, 137377, 101470, 2205, 4151, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 78278, 73095, 6, 104664, 11156, 3111, 1644, 5, 6, 104664, 6, 104664, 31157, 5684, 35189, 20632, 1644, 119055, 77188, 19532, 54260, 23405, 73381, 54196, 187055, 47833, 6, 48904, 13497, 80453, 4113, 1982, 50856, 125897, 27702, 8300, 54260, 4944, 43178, 17310, 36909, 2884, 1470, 657, 54260, 2648, 123329, 6, 235210, 1644, 17310, 15, 95766, 4151, 145813, 45629, 4667, 24464, 1285, 114955, 137, 2932, 29766, 219947, 155, 16, 10069, 193012, 24464, 7508, 6093, 119055, 29771, 4667, 153, 96561, 806, 64044, 16629, 2648, 65482, 1470, 75230, 36909, 76776, 1982, 13159, 6, 31157, 31157, 106, 2648, 15748, 5, 223229, 215726, 4, 3069, 8903, 18406, 4, 19532, 137377, 101470, 2200, 4151 ]

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

[ 132025, 506, 54260, 1982, 3120, 3496, 115453, 8580, 4151, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 78278, 7085, 2808, 75230, 2702, 13458, 54260, 16932, 905, 1285, 17824, 171428, 3120, 9424, 39083, 1211, 40653, 209, 86520, 5, 31157, 12045, 2808, 163139, 40920, 123329, 6, 87311, 96302, 12, 1470, 75230, 16803, 54260, 67873, 6, 26394, 47526, 123329, 4, 9424, 5, 564, 5, 113743, 35465, 1470, 9424, 141943, 105330, 105235, 39340, 44779, 9213, 47709, 41764, 37016, 109316, 5, 15, 72841, 1211, 24464, 113743, 35465, 12, 364, 186955, 213952, 95455, 41764, 37016, 109316, 2205, 35189, 130154, 6093, 364, 84577, 1470, 144532, 13982, 54260, 12483, 2181, 206105, 874, 39083, 7265, 4838, 167048, 7682, 109316, 5, 1285, 37016, 1211, 24464, 167048, 7682, 109316, 6681, 12890, 16747, 2882, 18225, 7243, 4, 133190, 874, 26, 39293, 56169, 220224, 19532, 54260, 1211, 9424, 119718, 65689, 10069, 6, 105235, 39340, 44779, 194, 7511, 46685, 215726, 506, 183512, 1644, 33104, 49008, 2205, 7508, 6093, 17824, 65482, 7611, 24464, 9424, 39083, 1211, 78278, 7085, 364, 183512, 1644, 109226, 2205, 8300, 238144, 28320, 9424, 141943, 105330, 2200, 564, 54260, 4151, 1751, 159696, 1644, 24464, 9424, 238144, 28320, 9424, 141943, 105330, 86520, 5, 138, 2648, 8300, 54260, 67873, 182731, 6, 96561, 96561, 6428, 4667, 13342, 8903, 18406, 2200, 19532, 137377, 101470, 159308, 40653, 29659, 54260, 15388, 10676, 9424, 141943, 105330, 2205, 4151, 17824, 65482, 7611, 36909, 2884, 9424, 39083, 1211, 78278, 387, 6, 5, 31157, 31157, 15111, 2808, 3069, 23847, 54260, 2882, 17310, 73784, 40653, 29659, 54260, 15388, 10676, 9424, 141943, 105330, 3056, 4151, 2932, 112711, 64213, 34654, 8903, 8903, 1982, 65482, 9424, 39083, 78278, 4068, 27702, 506, 15350, 69096, 6, 159696, 67873, 19024, 1982, 54260, 220224, 1211, 226467, 3120, 9424, 39083, 1211, 95766, 4151, 1470, 54260, 5666, 105235, 1644, 17310, 3069, 1892, 47833, 101251, 36909, 101503, 2442, 29060, 1982, 23173, 4113, 11211, 108968, 3056, 95455, 113743, 35465, 13342, 235210, 43178, 105235, 1644, 17310, 3120, 67882, 16932, 710, 21106, 115468, 35189, 58573, 142429, 24464, 3069, 8903, 18406, 6428, 2451, 2702, 564, 84577, 54260, 2882, 2205, 10676, 4, 6150, 1285, 7369, 13497, 21660, 39083, 4151, 119859, 57619, 1211, 20033, 78278, 1470, 9424, 141943, 105330, 1470, 75230, 152656, 364, 26612, 1982, 2884, 3120, 7508, 6093, 9424, 238144, 16932, 19721, 2451, 304, 2451, 2442, 4, 292, 116, 292, 6428, 4, 2200, 1751, 109636, 16932, 21776, 4944, 171428, 20033, 3069, 73784, 9424, 141943, 105330, 10069, 21776, 29659, 3120, 4151, 9424, 238144, 16932, 9424, 39083, 12, 423, 2451, 3373, 2451, 4068, 35189, 58573, 142429, 24464, 19532, 137377, 101470, 3373, 2451, 2681, 564, 84577, 54260, 2882, 2205, 10676, 4, 6150, 20033, 26394, 97594, 35189, 1211, 1285, 7369, 1644, 18415, 9424, 39083, 230764, 1470, 9424, 141943, 105330, 2200, 1470, 54260, 112690, 39340, 4, 78956, 3120, 26394, 47526, 7682, 19532, 137377, 13342, 101470, 1285, 9424, 238144, 18415, 9424, 39083, 12, 190, 2451, 963, 423, 4, 6, 148346, 2451, 2702, 292, 209, 4, 92500, 1751, 109636, 16932, 21776, 4944, 171428, 20033, 3069, 1285, 120202, 195054, 54260, 2932, 18415, 2205, 1470, 220224, 2882, 1470, 54260, 112690, 165354, 787, 1982, 54260, 2050, 6319, 39083, 87442, 710, 119718, 1211, 212632, 3056, 220224, 6093, 1470, 3523, 34365, 192956, 196511 ]

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

[ 95455, 1470, 54260, 5666, 5666, 69801, 1211, 17537, 1470, 54260, 5927, 54260, 2882, 28726, 12984, 4, 6235, 117397, 235210, 12483, 2190, 152656, 24464, 1470, 75230, 2702, 215629, 364, 183512, 1644, 109226, 5, 81444, 4667, 45629, 63020, 18225, 7243, 120202, 119718, 20961, 152656, 6319, 54260, 1211, 87680, 2190, 136876, 3120, 46601, 4113, 4944, 171428, 15, 34557, 24295, 29766, 6, 120749, 125897, 194, 54595, 75230, 9424, 5, 1982, 5, 6319, 68558, 18225, 1470, 75230, 2702, 36909, 52541, 95455, 19532, 137377, 101470, 3373, 292, 423, 230764, 42572, 39083, 2932, 213952, 1211, 185527, 12, 20033, 6, 26394, 97594, 35189, 1211, 423, 230764, 209, 92500, 3373, 230764, 138, 2451, 758, 74, 3120, 1837, 6, 101470, 20033, 19532, 137377, 3373, 2200, 1751, 109636, 16932, 138, 4, 3056, 5950, 4852, 29771, 12, 209, 2451, 758, 292, 106, 135461, 292, 138, 292, 4068, 119718, 120467, 6, 238144, 16932, 46711, 213783, 2205, 123736, 36909, 16932, 19532, 75230, 2702, 2205, 17190, 164863, 229340, 1470, 75230, 67854, 34557, 13159, 144754, 1470, 119055, 6093, 16932, 18415, 152194, 4, 119055, 13845, 104238, 119055, 77188, 6, 195054, 54260, 35596, 37729, 34654, 216333, 77928, 44478, 564, 54260, 47833, 132025, 8903, 39293, 114436, 11211, 108968, 3120, 6, 44478, 6093, 5, 19024, 39340, 15388, 34654, 6319, 39083, 29771, 20260, 13159, 3120, 1982, 54260, 3131, 22426, 159993, 73784, 46601, 4113, 1982, 171428, 192183, 12483, 220224, 1211, 4151, 364, 75230, 22426, 2882, 2865, 174121, 117997, 42572, 20961, 187483, 2808, 75230, 6293, 67826, 28726, 657, 37016, 42180, 2702, 5, 35189, 119859, 57619, 1211, 48494, 203232, 3069, 8903, 18406, 2200, 19532, 137377, 101470, 2205, 7508, 6093, 17824, 171428, 24464, 9424, 39083, 1211, 78278, 387, 153, 14073, 148346, 20961, 153796, 65482, 1470, 75230, 36909, 2932, 34557, 13159, 6, 88125, 31157, 6, 5, 26612, 1982, 21066, 6, 86764, 31157, 10184, 5, 1982, 54260, 67826, 44478, 187483, 3056, 72577, 132025, 8300, 119718, 905, 141943, 1211, 1285, 6235, 7511, 2882, 17310, 24464, 6, 166198, 123103, 1211, 13342, 235210, 43178, 1644, 54260, 15388, 9424, 54260, 63849, 171433, 25616, 213783, 3069, 116, 4, 3069, 138, 4, 3069, 106, 4, 3069, 190, 4, 1470, 75230, 4667, 9424, 54260, 4944, 171428, 31249, 37016, 44779, 2205, 6, 166198, 2865, 152185, 3069, 235210, 43178, 1644, 54260, 2932, 17310, 2200, 1470, 75230, 2702, 86733, 1211, 3120, 112216, 22426, 9221, 5, 130745, 153796, 65482, 1470, 75230, 36909, 2932, 34557, 46598, 6, 96561, 96561, 4777, 4113, 617, 5, 223229, 215726, 2205, 4151, 17824, 65482, 7611, 3120, 9424, 39083, 1211, 78278, 805, 5, 86070, 4113, 6, 26394, 47526, 123329, 2205, 4151, 17824, 171428, 24464, 9424, 39083, 1211, 78278, 805, 153, 31157, 3373, 119718, 26394, 47526, 123329, 2200, 1470, 54260, 112690, 39340, 2205, 7508, 6093, 17824, 65482, 9183, 24464, 9424, 39083, 1211, 78278, 7227, 1211, 6, 104664, 6, 134464, 130745, 21847, 54260, 18406, 657, 141847, 58032, 2200, 14856, 119364, 657, 141847, 58032, 6, 5, 31157, 6, 75230, 74197, 46685, 215726, 36909, 21106, 1211, 3120, 3069, 8903, 18406, 2200, 19532, 137377, 101470, 153, 96561, 3373, 5, 1211, 64044, 153796, 65482, 1470, 75230, 67854, 34557, 46598, 6, 5, 6, 5, 34654, 905, 78572, 2199, 19, 19672, 45429, 3373, 711, 6, 26, 8994, 2765, 24, 6, 4, 25603, 13159, 808, 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 ]

[ 2147, 5, 516, 257, 4, 2986, 11, 497, 54, 57095, 20879, 2628, 53, 54, 48, 846, 508, 257, 301, 23233, 11, 510, 5, 10893, 5380, 5, 7508, 1019, 116, 292, 18, 238, 2451, 660, 4, 54, 1573, 33, 35624, 48, 478, 85172, 979, 54, 24, 11, 13784, 701, 41764, 6, 5, 758, 2203, 292, 361, 6, 4, 963, 292, 5, 1837, 292, 190, 9934, 209, 1650, 238, 206, 19, 5, 3568, 76, 1771, 4, 10869, 2199, 5, 67861, 2414, 76, 694, 423, 292, 8994, 2765, 24, 6, 4, 75230, 4852, 120, 6, 1900, 2451, 5, 8408, 10016, 53, 115321, 3206, 4, 17, 1771, 1430, 24, 48, 2063, 846, 24948, 87, 7167, 18, 15390, 5, 1263, 5, 36, 5, 771, 5, 10, 6, 5, 304, 2203, 382, 292, 4068, 758, 6428, 209, 2203, 423, 6, 2063, 497, 5, 26223, 66, 229, 38893, 48, 478, 1883, 15473, 1290, 54, 14, 846, 26372, 5, 16116, 20493, 24, 876, 2594, 19, 7167, 1771, 18, 5, 116, 6, 1211, 190, 292, 6, 53489, 24, 8766, 10713, 694, 10, 8730, 1900, 1176, 42, 19, 17, 16495, 1294, 257, 10713, 808, 2451, 10060, 42, 19, 741, 257, 75, 1724, 846, 701, 31, 297, 157, 217, 18, 238, 432, 5, 259, 771, 38893, 432, 321, 377, 478, 4, 1274, 11, 3337, 6885, 2451, 31, 796, 537, 497, 299, 73925, 14093, 13233, 5, 300, 2451, 39, 5305, 568, 12238, 127, 269, 10443, 2230, 229, 42483, 8766, 23, 299, 10597, 6, 172060, 13159, 16, 939, 568, 497, 74777, 19, 299, 191, 568, 6885, 2451, 31, 29521, 1658, 846, 2451, 19, 1174, 5, 568, 508, 5, 25037, 5, 2080, 10713, 1793, 497, 76, 13, 229, 897, 42, 19, 7470, 423, 292, 382, 1470, 6885, 11, 10597, 1837, 229, 2819, 363, 292, 190, 24, 382, 653, 6, 4, 758, 292, 209, 653, 19, 423, 2062, 13139, 712, 1956, 1294, 24, 257, 121422, 7040, 2451, 23150, 5, 5, 966, 292, 138, 292, 209, 6, 4, 963, 292, 190, 292, 423, 148, 846, 2451, 10, 6, 4, 363, 14814, 10, 6, 5, 758, 229, 6333, 9635, 93, 53, 5, 59459, 501, 157, 11, 3521, 14, 74039, 18, 238, 1766, 399, 1470, 855, 42, 10060, 13139, 1132, 1565, 694, 116, 808, 206, 5, 257, 3931, 1300, 8770, 5264, 5, 22, 60626, 4083, 19, 2451, 42, 75, 31, 2628, 8770, 10, 11, 11, 4707, 8945, 2344, 292, 16870, 29060, 20894, 18, 8766, 568, 19047, 5, 24, 8766, 1294, 318, 1883, 5, 911, 1507, 266, 1236, 1468, 508, 2146, 5, 155, 4083, 2451, 53, 5, 32320, 24293, 28779, 104961, 1507, 42, 206, 931, 66, 305, 13159, 10, 27177, 42, 39, 6, 5, 5914, 478, 5, 11272, 568, 399, 654, 8615, 238, 5, 1059, 206, 4652, 5, 11866, 2037, 318, 6402, 701, 19672, 45429, 87, 67861, 2414, 76, 694, 1470, 24, 217, 1283, 478, 17, 478, 206, 54, 387, 14073, 14773, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 2062, 2451, 39, 76, 217, 5, 19630, 45118, 5046, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5 ]

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

[ 6, 5, 6, 5, 6, 5, 2478, 818, 2597, 4645, 17823, 5, 1059, 206, 2451, 5799, 478, 1300, 4, 5535, 39, 93, 33, 157, 47364, 11, 36108, 17, 478, 2514, 2451, 35613, 160, 6, 4, 304, 160, 6, 5, 363, 160, 6, 4, 617, 160, 6, 5, 758, 10, 1013, 238, 67, 6, 16461, 191, 7833, 10, 1539, 76233, 148, 47364, 11, 2451, 58235, 5535, 30786, 56, 2344, 116, 2808, 13159, 10, 60634, 2208, 76, 701, 85024, 4458, 2594, 5, 46659, 6, 5, 6, 5, 12853, 76, 1486, 52, 11, 43519, 568, 1723, 5, 1429, 701, 20251, 1021, 1054, 15807, 1283, 478, 1053, 9022, 54, 83348, 36053, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 805, 54, 17, 478, 1366, 377, 217, 42964, 478, 1054, 48, 2063, 14, 4, 27, 6, 5, 33647, 115250, 6, 5, 6, 5, 6, 5, 6, 5, 805, 142, 442, 7961, 19, 10, 11, 4097, 9928, 1054, 17, 297, 157, 2451, 5, 568, 87, 4115, 37176, 10519, 5, 129697, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 18676, 16210, 238, 5, 75, 6815, 7961, 701, 18676, 4, 818, 238, 568, 5, 2062, 1900, 19, 4, 2451, 7833, 66, 39, 2451, 13, 11, 2451, 36186, 4083, 2451, 11, 2451, 934, 5, 104, 238, 85, 2451, 66, 73, 87, 67861, 3602, 2451, 66, 73, 6, 5, 6, 5, 6, 5, 6, 5, 15732, 133249, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 2062, 2451, 192, 1486, 73670, 93, 5, 5, 3454, 27765, 292, 31, 478, 7961, 19, 808, 238, 2451, 31, 22158, 19, 3921, 5, 3373, 2702, 1470, 15266, 29161, 2451, 13408, 73, 104, 4526, 478, 27, 19, 2451, 5, 19, 4, 19, 1300, 4, 653, 2451, 748, 5, 116, 25933, 5, 14004, 16667, 905, 54, 102172, 2230, 5, 2451, 19, 694, 300, 2451, 93, 557, 2451, 8766, 4, 19, 48612, 5, 5, 1054, 10, 694, 206, 19, 116, 808, 5, 39, 5, 653, 157, 219, 2605, 14, 377, 478, 47924, 5, 2451, 14779, 501, 5305, 7961, 694, 6, 5, 73, 157, 7961, 6457, 2230, 701, 6, 5, 238, 2451, 55380, 191, 104, 19, 157, 4, 87, 14, 3581, 5, 653, 19, 17953, 10, 5, 2208, 1306, 14, 6, 5, 14236, 194, 41600, 7508, 617, 137, 304, 7508, 138, 6, 5, 363, 292, 116, 6, 4, 617, 106, 3373, 418, 1892, 18, 2451, 11, 2451, 19, 5, 6, 5, 42, 19, 8766, 2451, 238, 701, 96212, 2451, 127, 5, 209, 36, 2451, 3454, 9169, 42, 19, 1300, 4, 48, 5, 31, 87, 297, 157, 5, 48350, 2808, 501, 254, 5, 19, 497, 568, 292, 17, 5, 238, 5, 653, 10713, 2451, 27, 2947, 6, 5, 6, 5, 292, 5, 2451, 6402, 2451, 5, 5, 292, 5, 5, 2451, 7961, 19, 5, 13, 5, 5, 2451, 7961, 943, 2451, 701, 552, 85, 7961, 19, 5, 5, 6, 1211, 229, 238, 513, 2451, 57114, 73, 1054, 292, 19, 48362, 2451, 478, 1053, 7961, 19, 54, 836, 2451, 5, 42, 5, 54 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 21071, 73, 808, 19, 979, 21004, 6, 4, 18415, 48350, 98, 127, 6, 5, 46598, 106, 9934, 6, 5, 910, 8864, 24762, 6431, 19, 160, 2451, 217, 157, 2451, 86, 1300, 4, 4083, 2451, 238, 2451, 18, 10016, 2628, 2451, 5, 5, 10, 979, 72068, 497, 5, 5, 300, 31, 24, 14, 818, 5, 73, 5, 6, 26995, 19, 6457, 808, 238, 2451, 31, 292, 771, 2451, 206, 19, 653, 2451, 42, 2451, 8766, 19, 2451, 5, 427, 292, 48899, 19, 54, 300, 7961, 31, 6, 5, 2451, 7961, 5, 4113, 4113, 46598, 229, 238, 8541, 157, 5, 2451, 19, 694, 16807, 478, 157, 808, 5, 539, 5, 98, 5, 25037, 209, 2301, 19, 2451, 7961, 10016, 86, 568, 13, 2451, 18, 292, 10713, 2451, 10713, 10016, 5, 25037, 93, 14, 5, 19, 229, 238, 170, 5, 2451, 10713, 694, 41764, 2884, 16, 10979, 2451, 10016, 2451, 54, 48, 478, 5, 11, 1771, 6333, 10001, 5, 1096, 701, 292, 818, 2451, 19, 5, 653, 7695, 19, 1434, 846, 292, 10287, 19, 39, 7569, 2451, 701, 292, 19, 160, 2451, 31, 2451, 5, 54, 5, 71, 19, 10713, 1174, 5, 12243, 6, 5, 6, 5, 10420, 660, 19, 694, 2451, 14, 5, 4838, 119718, 3373, 6, 5, 2208, 10713, 6, 5, 7961, 694, 2451, 5, 10713, 701, 5, 8766, 2451, 7961, 5, 54387, 233, 7274, 191, 19, 701, 96212, 6457, 6, 4, 910, 6, 4, 966, 6, 4, 1019, 6, 4, 1126, 209, 3620, 5, 501, 2451, 14, 2451, 7961, 93, 5, 653, 19, 12975, 6, 5, 6, 5, 6, 5, 209, 54, 12138, 2451, 19, 653, 2451, 73, 408, 478, 2808, 36, 2451, 238, 8541, 5, 31, 11, 7833, 106, 54, 2451, 19, 10713, 694, 12424, 6, 5, 6, 5, 153, 31, 568, 5, 516, 25037, 2451, 5, 191, 5, 2451, 5, 292, 478, 36, 9737, 43748, 34, 2451, 2199, 1306, 808, 8730, 882, 915, 19, 3198, 123142, 2932, 16, 87, 2451, 10713, 5, 19, 292, 3521, 15390, 1468, 93, 5, 2451, 5, 5, 14604, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 808, 5, 33995, 694, 119055, 2702, 19308, 6, 5, 6, 5, 6, 5, 28136, 2451, 13139, 18, 5, 14489, 19, 694, 5, 97024, 541, 19, 1991, 17943, 5, 19672, 11, 7833, 5, 229, 2451, 14, 1507, 7961, 14, 5, 106, 32074, 2451, 257, 660, 6, 5, 157, 8766, 1174, 905, 6, 3962, 19437, 2451, 478, 87, 6594, 19, 292, 31, 387, 15748, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 209, 15266, 19, 87, 6594, 127, 292, 19, 4097, 5, 10713, 6, 5, 7961, 19, 7961, 42, 8766, 93, 126, 5, 660, 19, 5, 653, 2451, 28725, 2451, 660, 5, 347, 5, 2199, 42, 206, 5305, 701, 8864, 7961, 4288, 93, 5, 6, 29060, 19916, 2451, 2628, 19165, 14, 2451, 85172, 127, 5, 915, 660, 16336, 5, 31, 5, 1054, 915, 19, 2451, 19, 5, 238, 5, 339, 5, 157, 11, 10597, 19916, 7961, 694, 5, 4307, 1294, 5, 19, 694, 5, 254, 19, 2451, 42, 127, 4, 1054, 28136, 7961, 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 ]

[ 7213, 22426, 2882, 36, 18, 8766, 10713, 1300, 4, 104, 19, 915, 19, 54648, 5, 16210, 701, 10, 2451, 10713, 42, 979, 2451, 19, 568, 5, 5, 1290, 7961, 31, 6, 5, 2451, 8766, 2451, 6, 5, 2451, 19, 292, 10713, 2451, 19, 7961, 28725, 694, 292, 19, 3812, 19, 10, 846, 324, 2199, 19, 5, 915, 19, 5, 18, 5, 2451, 3198, 5, 568, 5, 5, 660, 694, 694, 315, 5, 2451, 10713, 2451, 5, 73, 5, 1054, 292, 93, 5, 7961, 478, 87, 1771, 19, 5, 54, 6, 5, 1549, 15165, 399, 694, 163, 7961, 19, 660, 42, 19, 104, 5, 2451, 846, 14, 292, 15390, 7961, 4288, 5, 5, 711, 5332, 18415, 3568, 19, 2451, 14, 5, 502, 2451, 19, 48, 846, 2451, 73, 50828, 19, 39, 361, 128919, 6, 5, 6, 5, 6, 5, 2147, 2451, 93, 2451, 71, 2451, 5, 1059, 14, 7961, 10016, 2451, 8331, 549, 19, 701, 711, 229, 1334, 568, 1687, 93, 2061, 116, 4083, 8766, 5, 516, 2451, 19, 2451, 5, 8543, 502, 42, 5, 6, 5, 5305, 2451, 4288, 5, 31, 5, 13574, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 387, 54, 87, 14, 2451, 66, 292, 19, 4097, 7961, 14, 5, 1054, 292, 7961, 31, 5, 42, 19, 5, 2451, 31, 5, 191, 10016, 2451, 19, 5, 2451, 54, 915, 5, 7961, 73, 7961, 7961, 694, 4115, 7961, 34, 48, 846, 2451, 29270, 5, 31, 5, 5, 7961, 31, 17, 7961, 18, 6, 5, 2230, 2451, 18, 694, 701, 104, 10713, 2451, 5, 8947, 85744, 54, 6, 15110, 160, 5, 238, 5, 19, 2451, 4083, 1294, 808, 5, 19, 5, 9416, 905, 292, 5, 2451, 19, 2451, 5, 6, 5, 7961, 5, 191, 2451, 1054, 300, 5, 1127, 478, 6520, 24948, 5, 5, 10713, 653, 10443, 42, 19, 660, 19, 5, 19, 7961, 10713, 6, 5, 2451, 5, 2451, 238, 4, 9934, 22426, 22426, 1211, 11732, 26372, 5, 292, 508, 7961, 4288, 5, 915, 660, 5, 238, 2451, 157, 31, 5, 27, 284, 5, 276, 5, 568, 5, 5, 17481, 39, 5, 5, 418, 6, 5, 3996, 33, 2451, 1174, 4115, 5, 27, 18, 5, 19, 5, 31, 5, 2451, 13, 5, 979, 1090, 2451, 478, 4083, 2451, 71574, 35883, 24838, 501, 5, 14, 2451, 882, 1054, 6, 7961, 5, 42, 27, 6, 5, 6, 5, 32033, 2451, 4607, 5, 31, 2451, 219, 701, 915, 5, 2451, 238, 13408, 846, 1507, 292, 979, 748, 19, 6, 5, 7961, 18, 4083, 19, 5, 5, 15894, 76, 6402, 557, 17, 1771, 19, 2451, 694, 5, 6, 5, 93, 2451, 7961, 694, 653, 19, 3486, 14, 5, 15390, 7961, 5, 5, 300, 5, 7250, 19, 5, 5, 846, 87, 5, 19, 7961, 18, 19, 157, 2451, 5, 653, 7961, 516, 1234, 4, 653, 19, 2451, 5, 2624, 5, 11, 5305, 653, 19, 23311, 16635, 6, 5, 748, 93, 5, 8248, 114650, 29257, 1126, 16, 87, 2451, 42, 54544, 19, 5, 568, 5, 771, 1507, 5, 501, 5305, 8766, 694, 653, 19, 6, 10681, 2451, 309 ]

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

[ 127, 19, 4, 4083, 2451, 7961, 3521, 127, 10016, 5, 31355, 5, 568, 4083, 7961, 19, 249, 5, 318, 3929, 5, 14, 5, 32033, 818, 42, 19, 4, 31, 5, 19, 5305, 10, 979, 12393, 31, 653, 19, 160, 5, 2451, 19, 47, 5, 748, 8766, 1174, 915, 53313, 6, 5, 2451, 11, 1830, 45118, 1054, 940, 25767, 5, 19, 116, 5535, 916, 701, 66, 5, 18, 5, 501, 19, 7961, 31, 28136, 257, 148, 846, 10060, 568, 292, 18, 5, 28647, 18, 501, 299, 4307, 19, 2451, 4370, 157, 5, 420, 1096, 19, 2451, 660, 19, 157, 5, 8947, 940, 846, 85, 3190, 5, 29014, 46903, 478, 6, 5, 54326, 157, 10, 5, 14, 2451, 882, 653, 19, 160, 2451, 19, 2451, 15390, 87, 6594, 694, 157, 31, 6, 5, 6, 5, 6, 5, 841, 395, 309, 206, 5, 17, 13, 11, 7961, 5, 1658, 31, 20402, 2451, 3450, 568, 1274, 5, 292, 808, 5, 73, 45495, 13159, 1658, 2146, 2451, 16635, 5, 568, 478, 2062, 257, 19, 266, 14, 5, 100426, 11, 308, 4448, 5, 6, 5, 132, 966, 6, 5, 93, 191, 2451, 93, 5, 5, 160, 5, 1294, 31, 2628, 5, 915, 19, 2451, 939, 31, 11, 3915, 568, 7508, 114650, 249, 2451, 748, 76233, 653, 19, 5535, 191, 93, 5, 19, 6, 5, 47709, 16, 6, 4, 105801, 47, 365, 14093, 3373, 25603, 420, 5, 11, 2451, 1724, 35613, 808, 660, 42, 5, 2819, 139303, 148, 516, 11, 11, 3521, 292, 229, 15938, 46903, 478, 18871, 748, 19, 1372, 73095, 31714, 19, 10979, 238, 2451, 238, 5, 5, 568, 5, 5, 1427, 4036, 11, 2451, 11, 104, 82759, 3238, 1662, 6, 5, 6, 5, 6, 5, 229, 238, 170, 5, 157, 11, 5, 19, 701, 106, 19672, 5, 19, 701, 6, 4, 758, 54, 3616, 42964, 478, 1054, 1261, 3581, 395, 2451, 7961, 238, 5, 1054, 6, 52544, 2451, 318, 5, 292, 19, 37599, 13408, 33647, 98, 1830, 238, 694, 6, 5, 758, 6, 4, 617, 6, 4, 363, 6, 4, 304, 6, 4, 418, 29730, 7668, 519, 95222, 15390, 4083, 19, 5, 2832, 2451, 16635, 2451, 8766, 54, 1866, 10060, 1059, 10597, 4, 27765, 17, 481, 19, 2451, 701, 4083, 8766, 71, 7961, 846, 5, 188, 434, 5, 47364, 712, 19, 701, 17, 1771, 2451, 5, 2451, 157, 11, 2083, 5535, 11, 191, 2451, 701, 4083, 2451, 71574, 7961, 846, 24838, 292, 41643, 3035, 19, 123, 238, 4, 654, 8947, 2702, 56880, 808, 83018, 5, 1690, 5, 2451, 31, 7961, 7833, 201, 104, 19, 9030, 206, 568, 4, 12203, 141, 2208, 19, 701, 31, 11894, 516, 31, 17, 478, 11, 68336, 4652, 106, 1054, 67054, 22426, 2702, 87, 13, 2451, 157, 2451, 24948, 7961, 318, 5, 1053, 5, 31, 1043, 19, 653, 19, 4083, 7961, 5, 19, 5, 2230, 5, 1690, 53313, 653, 19, 6, 4, 2702, 69801, 2050, 6, 148346, 20315, 3780, 54, 846, 568, 31, 6520, 19, 701, 34068, 5, 47, 71, 1690, 19, 2451, 19, 2808, 160, 2451, 18, 7700, 12488, 5, 7961, 38893, 4, 292, 876, 27765, 653, 2451, 5, 2451, 7961 ]

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

[ 6402, 157, 78829, 5, 93, 30797, 4043, 57114, 73, 568, 5, 36419, 952, 229, 44924, 76, 93, 5, 6, 149311, 26273, 19, 2451, 7833, 41764, 710, 98036, 13159, 418, 905, 4627, 6457, 16210, 5, 2451, 13700, 32206, 2702, 14088, 87, 1771, 19, 669, 306, 92790, 42, 19, 5, 2451, 11089, 701, 1645, 53, 26273, 19, 9051, 31, 4, 501, 549, 2451, 19, 701, 16870, 4113, 4113, 37531, 9635, 21942, 157, 3373, 36419, 2050, 653, 19, 5535, 33, 6457, 934, 808, 71, 701, 653, 9167, 5, 915, 2451, 19, 2451, 71, 5, 19, 2451, 846, 1507, 4083, 299, 26273, 19, 7961, 66, 73, 5, 4083, 15019, 5, 19437, 2311, 5305, 5332, 39293, 229, 238, 170, 5305, 2451, 66, 73, 568, 5, 10287, 19437, 5128, 13437, 11, 5305, 15004, 516, 11, 24, 54, 549, 7833, 106, 56329, 238, 170, 5, 35613, 10713, 5, 5, 116, 9934, 75230, 2702, 5831, 6402, 19, 5, 1793, 93, 2986, 2451, 5, 564, 16, 160, 5305, 2451, 4, 87, 1771, 2451, 28725, 157, 1122, 5, 87, 38893, 18, 46903, 1771, 4307, 238, 2451, 238, 568, 102, 549, 1372, 19047, 4, 6, 5, 1176, 2451, 10016, 5, 306, 5, 5, 846, 7668, 1054, 10, 1366, 1283, 478, 54, 6, 4, 963, 104, 2451, 71, 19, 9051, 13, 106, 229, 1399, 2451, 57114, 701, 808, 5, 408, 3038, 6, 4, 418, 6, 4, 304, 5016, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 6, 5, 209, 54, 17, 6815, 127, 10, 508, 5, 1283, 478, 1054, 190, 6, 5, 617, 6, 4, 363, 5, 2451, 73, 42, 5, 19, 24, 18, 5, 6594, 33191, 76, 54, 4115, 5, 927, 19, 4115, 5, 31, 38893, 519, 6520, 39, 238, 5, 53313, 5, 5380, 934, 1470, 6, 5, 2451, 7961, 191, 5, 16635, 6, 5, 609, 2808, 27631, 6, 5, 17537, 1468, 6, 4, 1468, 694, 18, 5, 36, 16127, 5, 5, 292, 18, 2208, 19, 2451, 6457, 5, 39, 6, 4, 2451, 42, 5, 5, 478, 5, 351, 2451, 42, 19, 694, 5, 5, 18, 254, 7961, 14, 5, 660, 5, 6, 5, 2451, 1724, 73, 4083, 42, 7961, 73, 2451, 191, 19, 87, 5, 73, 39, 2451, 39, 36, 14, 943, 2451, 720, 2451, 18, 5, 5, 1468, 1174, 18, 4, 304, 1644, 5, 418, 710, 12183, 292, 34310, 73, 5, 2062, 5, 653, 19, 8651, 36, 7961, 846, 5, 1096, 19, 59782, 6, 5, 119718, 6, 5, 710, 5, 153, 5, 1781, 9934, 2445, 4, 36, 5, 5, 568, 5, 71, 106, 1644, 12183, 15654, 910, 29566, 2648, 418, 1468, 6, 5, 2451, 19, 5, 710, 8318, 758, 13028, 2451, 31, 2451, 14, 2597, 15622, 6746, 87, 2451, 7961, 5, 5, 19, 2451, 18, 2451, 6428, 5, 2442, 292, 5, 7961, 19, 1468, 905, 5, 710, 165826, 418, 26425, 6, 7961, 757, 506, 1470, 3413, 6, 5, 905, 6, 5, 418, 1211, 5, 1054, 6, 5, 710, 5, 5, 1468, 75230, 418, 5, 292, 5, 19, 5, 7961, 5, 1126, 1468, 42, 2451, 7961, 19437, 19, 2451, 9703 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10, 1605, 820, 95510, 7049, 67, 217, 268, 378, 1723, 127427, 12, 54566, 268, 378, 211232, 9956, 94940, 12, 6, 3, 3337, 7, 6563, 45589, 42687, 50579, 19211, 2060, 3668, 268, 378, 117772, 80217, 12, 378, 25, 10476, 217, 1495, 4, 32129, 7816, 4, 156999, 8363, 5843, 25, 86245, 378, 131514, 15300, 12, 62, 1605, 122, 1071, 7928, 245389, 268, 6, 1211, 6, 13497, 54260, 17310, 3056, 8903, 159696, 1211, 1470, 6, 61397, 12415, 146873, 5, 70845, 3056, 133190, 42493, 6235, 159696, 1211, 73784, 68889, 64213, 4151, 6, 148346, 9183, 90848, 25616, 40096, 54561, 2050, 4, 874, 98071, 2882, 119055, 13845, 12984, 9934, 23269, 2882, 2882, 3111, 31467, 4852, 5666, 7511, 49597, 4484, 149364, 1644, 212915, 1470, 98071, 4852, 34076, 29259, 4667, 6, 23173, 75230, 2702, 8903, 36909, 29766, 1211, 36324, 75230, 148346, 2442, 54260, 2882, 4, 2200, 95455, 364, 23173, 8580, 37826, 70845, 6235, 4852, 171433, 2050, 4, 6150, 1470, 75230, 4667, 7369, 4, 48494, 2882, 59461, 4, 178748, 7746, 3131, 75230, 1211, 7508, 98071, 40920, 1211, 4838, 4667, 5332, 22426, 13159, 5, 2205, 4151, 6319, 59929, 98071, 2442, 2451, 119718, 120467, 119055, 46598, 153585, 874, 98071, 2882, 1470, 98071, 1982, 32, 2808, 98071, 8300, 16932, 194885, 1211, 220224, 6, 148346, 54260, 20315, 4838, 6293, 9424, 29766, 46598, 27, 2451, 123736, 148346, 6093, 4151, 123329, 2451, 506, 64260, 9934, 98071, 4667, 7508, 40096, 59461, 2451, 159696, 2442, 6, 238144, 2702, 10676, 163139, 49597, 36909, 21295, 1211, 2865, 39083, 2451, 36909, 23173, 6428, 12, 141879, 193012, 3069, 31467, 2442, 98071, 4484, 1470, 33809, 2865, 8903, 75290, 2882, 3069, 31467, 153585, 6, 186955, 1211, 6235, 94741, 20260, 2451, 119718, 39083, 2882, 1470, 98071, 13497, 6093, 13159, 84577, 6235, 159696, 1211, 3069, 31467, 163139, 49597, 46053, 4, 163139, 49597, 6319, 33809, 63532, 9934, 23269, 63532, 3111, 31467, 4852, 117260, 49597, 4484, 149364, 22849, 47351, 8300, 33809, 6, 148346, 48904, 46985, 98071, 7511, 171433, 98071, 1982, 32, 2808, 33809, 1211, 163139, 49597, 7369, 3523, 54260, 2882, 36324, 75230, 18583, 148346, 29259, 4151, 6, 148346, 98071, 68959, 36326, 874, 98071, 2882, 4151, 4269, 59929, 6, 23173, 4838, 506, 54260, 2050, 4, 2808, 33809, 1211, 7369, 6, 148346, 92605, 905, 20911, 7508, 12, 6319, 33809, 22426, 4484, 13159, 6, 96302, 49209, 4, 199145, 43649, 54260, 12483, 6428, 99766, 76961, 166464, 1470, 33809, 1211, 119718, 120467, 76961, 874, 39083, 9424, 98071, 12483, 220224, 3069, 31467, 153585, 1470, 33809, 36909, 46685, 4484, 235210, 4484, 29259, 2882, 4, 1470, 98071, 148346, 150839, 75230, 22426, 2882, 16175, 92605, 21660, 33809, 1644, 98071, 148346, 10676, 4, 199145, 4231, 53414, 874, 39083, 4151, 87311, 49008, 220224, 1470, 98071, 1982, 4, 36324, 1470, 98071, 1211, 1470, 54260, 1211, 1751, 54260, 119132, 6, 128750, 98071, 2865, 29766, 15388, 42542, 7369, 1470, 75230, 4667, 6, 148346, 1644, 29259, 148346, 1211, 1470, 98071, 1211, 215031, 6, 71804, 23269, 4, 36324, 7369, 170479, 9934, 98071, 4667, 81444, 235311, 26612, 159696, 4484, 128540, 1470, 98071, 1211, 1470, 54260, 59461, 42572, 33809, 1211, 1285, 49597, 2648, 29771, 4852, 98071, 39340, 6319, 33809, 22426, 4484, 13159, 2451, 35189, 39293, 2882, 7369, 162726, 33809, 34709, 33809, 23405, 36909 ]

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

[ 33809, 83182, 238144, 28320, 5332, 22426, 13159, 1470, 54260, 119132, 4838, 115556, 4, 199145, 34076, 29259, 4667, 37826, 1470, 98071, 2050, 4838, 6, 148346, 1644, 75230, 23269, 97634, 1211, 4151, 9934, 98071, 78683, 61621, 1470, 98071, 1211, 6319, 137377, 12, 4269, 119718, 21106, 2648, 6235, 25391, 98071, 12483, 4, 119055, 33809, 37826, 7369, 21776, 2865, 90848, 4852, 98071, 38249, 8903, 104149, 38, 1470, 33809, 1211, 34076, 29259, 4667, 37826, 7369, 9934, 98071, 4667, 4151, 87311, 13497, 12, 3523, 33809, 6, 101328, 4, 95455, 1470, 98071, 4852, 81444, 4667, 7369, 4, 4151, 39293, 1644, 148346, 98071, 75290, 4, 123736, 148346, 6093, 163139, 49597, 7369, 37826, 9934, 98071, 4667, 6235, 148346, 98071, 28320, 38, 220224, 6093, 1751, 57277, 24152, 6235, 148346, 98071, 28320, 9934, 98071, 4667, 27, 2808, 33809, 1211, 4, 4151, 98071, 75290, 4, 36324, 75230, 6, 186955, 6235, 119718, 29766, 1211, 27, 42542, 95455, 874, 43178, 44779, 153585, 4, 7369, 170479, 4838, 26612, 29771, 46598, 151614, 148346, 1211, 32, 1470, 98071, 4852, 7369, 41764, 2808, 119132, 3069, 31467, 23269, 5666, 48904, 49008, 3069, 31467, 10676, 115374, 1470, 33809, 1211, 7369, 37826, 23269, 128750, 35596, 12, 2451, 1054, 29259, 66293, 1470, 98071, 2442, 42493, 6235, 17645, 46053, 1751, 75230, 1211, 27702, 24621, 18583, 7508, 12, 874, 98071, 22849, 75322, 29789, 23173, 1211, 2205, 119718, 23173, 36326, 159696, 2442, 42572, 4113, 16583, 5, 5666, 5666, 12, 2451, 23050, 39293, 46053, 5, 2451, 3523, 33809, 6, 137218, 4, 6319, 75230, 2050, 49920, 6255, 1470, 54260, 6093, 93943, 98071, 30750, 4, 6, 148346, 8580, 1470, 98071, 4667, 1751, 75230, 1211, 9934, 5, 75578, 5, 1470, 98071, 68959, 29259, 66293, 4838, 657, 29766, 168155, 6, 159696, 148346, 6093, 2205, 4838, 46685, 42572, 75322, 98071, 1644, 17645, 1470, 98071, 4852, 1285, 49597, 127209, 54260, 1211, 5, 758, 2451, 564, 26, 6, 48775, 1982, 59461, 12, 2451, 85465, 203232, 1470, 98071, 2050, 4151, 4484, 35596, 1470, 75230, 4667, 1285, 66168, 1211, 2205, 37826, 1470, 98071, 2050, 128750, 29259, 13497, 44779, 1470, 75230, 2050, 23269, 66293, 2442, 87442, 6428, 12, 364, 84577, 2451, 186955, 9934, 29259, 16667, 1470, 98071, 2442, 6235, 119718, 29766, 1211, 4944, 4, 7508, 40096, 59461, 5, 2865, 29259, 1211, 6, 57277, 71512, 37826, 1470, 98071, 2442, 1470, 75230, 2702, 8903, 4944, 71577, 2882, 42572, 33809, 1211, 874, 75230, 1644, 2451, 506, 64260, 23050, 170355, 2932, 23822, 40096, 59461, 2451, 2808, 98071, 2442, 9934, 29259, 13497, 1470, 75230, 4667, 3523, 98071, 2882, 4231, 98071, 23405, 6093, 6235, 119718, 29766, 1211, 5, 6235, 159696, 1211, 6, 75322, 39083, 4838, 4269, 33809, 2882, 21660, 29259, 2882, 4, 4838, 5, 163139, 49597, 874, 41595, 1470, 98071, 2442, 32, 2451, 6, 101328, 2451, 101328, 2451, 1982, 26, 7508, 40096, 59461, 4, 1470, 98071, 56169, 1470, 98071, 4852, 6, 21106, 5666, 36909, 21106, 2702, 6, 148346, 13159, 6093, 5, 2451, 6, 101328, 4, 123736, 148346, 6093, 46711, 75230, 51723, 151614, 148346, 1211, 3523, 54260, 1211, 215031, 21776, 159696, 4, 36324, 220224, 6, 238144, 46053, 133190, 21776, 2050, 141943, 21660, 98071, 1644, 2205, 220224, 55242, 12483, 6, 12130, 2181, 6, 159696, 2932, 5, 2205, 7369, 1470, 98071, 4852, 1470, 75230, 4667, 3523, 98071 ]

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

[ 2882, 1470, 75230, 2702, 23269, 4852, 54260, 2882, 1982, 98071, 2050, 6319, 54260, 1211, 7508, 75230, 56880, 5, 2451, 123736, 148346, 6093, 21776, 2050, 6, 159696, 2932, 56040, 18225, 1285, 68697, 2932, 54260, 1211, 5, 2451, 6255, 6, 54260, 448, 4, 27702, 159696, 2442, 7508, 98071, 66168, 1211, 4, 6255, 1054, 54260, 2702, 4, 123736, 148346, 6093, 8947, 119055, 39083, 2882, 7746, 710, 53414, 5, 5, 1470, 98071, 2442, 18583, 13497, 54260, 2882, 32, 1054, 29060, 133190, 4, 199145, 151614, 148346, 1211, 564, 98071, 2442, 9934, 98071, 4667, 123736, 4838, 159696, 4484, 8903, 194734, 21295, 874, 98071, 2882, 1470, 33809, 16747, 168155, 42572, 98071, 1644, 120467, 29771, 36909, 98071, 4113, 35830, 4838, 364, 33809, 23405, 6093, 98071, 38249, 6, 87311, 15388, 27, 6319, 33809, 63532, 220273, 2865, 98071, 2882, 20033, 1470, 98071, 5666, 54260, 119132, 874, 98071, 2882, 98071, 4484, 8947, 1211, 5, 2181, 119055, 29060, 19302, 37016, 1211, 18583, 76961, 51723, 4, 220224, 23822, 33809, 98071, 4484, 5, 112052, 2050, 4, 112052, 2050, 27, 119055, 46598, 1470, 98071, 2442, 4151, 238144, 165607, 4151, 8300, 54260, 67873, 4, 25933, 203232, 11265, 67882, 1982, 2050, 4, 2442, 12, 2181, 1470, 98071, 4852, 1470, 29259, 4667, 6235, 5666, 48904, 49008, 6428, 12, 6, 29259, 2050, 5, 67882, 28726, 199145, 27, 36324, 1470, 98071, 2442, 6428, 23173, 159212, 220273, 18406, 46711, 33809, 10918, 49597, 1982, 3523, 98071, 2050, 22753, 18406, 4, 27702, 159696, 2442, 7508, 98071, 68867, 7611, 4, 1470, 98071, 4667, 119055, 13845, 1470, 29259, 4667, 9934, 29771, 119718, 98071, 4852, 29771, 3523, 98071, 2882, 137377, 212484, 1211, 5, 95766, 36324, 220224, 151614, 148346, 1211, 3523, 54260, 1211, 6235, 234221, 1470, 98071, 1211, 4269, 8580, 1470, 98071, 5666, 54260, 119132, 4, 37826, 125523, 7508, 40096, 59461, 21106, 8580, 6, 61397, 29060, 2451, 26612, 6293, 215031, 874, 98071, 12130, 37826, 1470, 98071, 2050, 1285, 49597, 68867, 64659, 1211, 132025, 8903, 226112, 152656, 12, 2451, 76961, 6, 21106, 18415, 6, 148346, 233364, 194734, 9424, 48350, 54260, 2882, 1470, 33809, 1211, 21422, 5666, 80453, 54260, 2050, 6235, 119718, 29766, 1211, 6, 5, 2205, 5332, 36909, 1644, 4852, 29259, 49008, 1751, 75230, 1211, 6, 57277, 39340, 6, 23173, 7369, 6, 159696, 21295, 3523, 98071, 97634, 27, 199145, 170479, 1470, 98071, 4667, 1470, 29259, 4667, 6, 225975, 1211, 4, 1982, 26, 7508, 98071, 66168, 49597, 7611, 4, 1470, 98071, 4667, 6, 148346, 98071, 1211, 6, 57277, 39340, 3069, 31467, 128750, 98071, 35465, 3069, 31467, 6, 148346, 26612, 8903, 8903, 49008, 9934, 98071, 4667, 874, 98071, 2882, 4838, 115374, 4, 119718, 120467, 37826, 874, 98071, 2442, 4151, 87311, 13497, 2181, 6, 75322, 39083, 5, 6, 75322, 39083, 98071, 39340, 27702, 238144, 2442, 98071, 2050, 194885, 1211, 81444, 4667, 4113, 22426, 13159, 6235, 159696, 1211, 3069, 31467, 5666, 75230, 36909, 8903, 148346, 33809, 16747, 1211, 1470, 54260, 23269, 874, 98071, 2882, 6428, 12, 221895, 6, 57277, 39340, 6, 148346, 4113, 63593, 13159, 874, 98071, 21338, 29259, 148346, 1470, 33809, 1211, 874, 98071, 2882, 17190, 148346, 1211, 5, 1470, 98071, 2442, 6235, 20315, 185226, 1285, 49597, 19302, 4113, 22426, 4, 199145, 874, 98071, 2442, 151614, 148346, 1211, 6, 148346, 92605, 33809, 51723 ]

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

[ 42572, 33809, 1211, 25207, 2050, 19302, 54260, 119132, 123736, 36909, 98071, 89930, 1644, 32, 7369, 6, 66293, 54260, 2882, 874, 12, 2442, 6, 148346, 98071, 4852, 364, 29259, 13497, 4838, 17190, 148346, 6093, 12, 75290, 18583, 29257, 1470, 54260, 15388, 5, 4838, 4667, 4, 1470, 98071, 4852, 95455, 6235, 159696, 1211, 4838, 6, 90848, 17645, 27, 2808, 33809, 1211, 36324, 7508, 40096, 59461, 37826, 7746, 4231, 75230, 1211, 6235, 506, 40096, 6235, 3111, 31467, 2932, 6, 23173, 71577, 61397, 29060, 42572, 33809, 1211, 364, 23173, 1211, 132, 94741, 1211, 194885, 1211, 220224, 564, 54260, 1211, 6235, 39293, 46053, 6, 148346, 26612, 48494, 2882, 59461, 1211, 1470, 98071, 83182, 54260, 2050, 247, 37826, 7369, 23269, 4852, 29771, 13497, 12, 2451, 1470, 98071, 8300, 16932, 4151, 8300, 54260, 21295, 11265, 4, 119055, 12, 1470, 98071, 1211, 1470, 29259, 4667, 6235, 240863, 12483, 6428, 12, 9424, 29259, 2882, 32, 2451, 6, 59929, 26612, 4667, 9424, 4151, 8300, 54260, 67873, 2451, 506, 64260, 23050, 4852, 29771, 13497, 1285, 49597, 66168, 64659, 1211, 4, 3523, 98071, 2882, 151614, 148346, 16747, 98071, 4484, 6319, 29259, 1211, 1982, 54260, 23269, 4484, 1470, 98071, 148346, 6093, 98071, 4484, 3069, 31467, 18583, 3131, 80453, 54260, 28320, 9934, 98071, 4667, 6, 159696, 15388, 9934, 5666, 4667, 2451, 40096, 36324, 75230, 27, 163139, 49597, 76961, 51723, 27, 2451, 163139, 49597, 76961, 51723, 32, 3523, 33809, 4, 1470, 75230, 148346, 1470, 98071, 2442, 9934, 29259, 13497, 1470, 98071, 56169, 3523, 98071, 2882, 1470, 33809, 36909, 195054, 54260, 98833, 3069, 31467, 4151, 5, 8300, 54260, 67873, 4, 6, 159696, 67873, 874, 98071, 2442, 4838, 54260, 4667, 3523, 98071, 2050, 3523, 75230, 28320, 5, 8947, 6, 186145, 159212, 6, 75322, 39083, 4, 4838, 115374, 1470, 98071, 163177, 159696, 2442, 3069, 31467, 7508, 52541, 5, 564, 98071, 61621, 95455, 120202, 1644, 54260, 15388, 6, 23173, 47833, 4838, 83182, 3131, 874, 39083, 5, 1470, 98071, 4667, 6, 148346, 98071, 1211, 506, 98071, 104238, 4, 6, 47351, 9934, 29771, 119718, 98071, 4852, 29771, 6, 159696, 67873, 874, 98071, 2442, 9934, 98071, 4667, 6, 186145, 152656, 5, 1470, 33809, 16747, 168155, 4838, 13982, 13159, 6, 238144, 16803, 1470, 98071, 33716, 75230, 1211, 5, 199145, 4, 3523, 98071, 2882, 36324, 75230, 32, 2451, 4838, 35189, 26612, 148346, 4113, 4, 2451, 506, 64260, 6235, 225975, 2882, 1285, 49597, 14857, 98071, 8580, 2451, 119718, 120467, 42542, 1470, 98071, 4667, 54745, 1211, 6, 5, 151614, 148346, 1211, 94741, 39340, 15388, 32, 1470, 98071, 148346, 150839, 75230, 22426, 2882, 4, 119055, 12483, 1470, 98071, 4667, 151614, 148346, 1470, 98071, 1211, 6, 87311, 95564, 159696, 4, 42542, 18225, 6, 225975, 1211, 4, 220273, 7511, 158652, 54260, 1211, 6, 148346, 233364, 194734, 5, 2451, 3523, 33809, 4, 1470, 98071, 4852, 4151, 8300, 54260, 21295, 564, 64260, 5666, 4, 199145, 16175, 33809, 2882, 1470, 98071, 2442, 1470, 98071, 1211, 6, 87311, 95564, 159696, 19532, 1211, 163139, 49597, 71804, 23405, 220224, 13497, 1470, 98071, 2442, 1751, 75230, 1211, 81444, 32, 2451, 6, 148346, 26612, 4838, 874, 232187, 2882, 2451, 506, 40096, 7508, 98071, 2050, 16629, 64659, 1211, 4838, 152656, 43649, 13845, 6235, 101296, 40920, 10676, 564, 43178, 148346, 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 ]

[ 12, 101328, 4, 6, 148346, 26612, 4838, 874, 232187, 2882, 5, 1470, 33809, 1211, 199145, 6255, 16175, 81444, 32, 2451, 506, 64260, 1285, 49597, 66168, 49597, 1211, 6150, 75230, 163139, 49597, 4838, 236376, 6235, 97634, 1211, 4, 9424, 98071, 7369, 170479, 6, 225975, 1211, 9424, 98071, 3523, 54260, 1211, 4, 1470, 33809, 1211, 4, 6, 238144, 4852, 2882, 1470, 75230, 2702, 4, 6, 148346, 26612, 31249, 98071, 2702, 16747, 98071, 4484, 23173, 6, 101328, 4, 37826, 7369, 6235, 225975, 2882, 12, 2451, 4151, 238144, 165607, 16175, 33809, 1470, 98071, 4667, 125523, 220273, 7511, 49597, 2882, 5, 1470, 98071, 4667, 8248, 31467, 4667, 6, 23173, 148346, 29060, 5, 2451, 3523, 33809, 4, 1470, 33809, 1211, 1470, 98071, 2442, 6235, 36909, 98071, 13497, 32, 2451, 3523, 54260, 1211, 4, 1470, 98071, 4667, 6235, 36909, 98071, 1211, 3523, 98071, 2882, 5, 6, 194734, 21295, 4838, 54260, 4667, 207748, 4, 1470, 98071, 4667, 6235, 36909, 98071, 1211, 3523, 98071, 2882, 5, 1751, 159696, 95064, 119718, 29766, 1211, 874, 98071, 2882, 6, 23173, 148346, 29060, 1470, 98071, 1211, 6, 87311, 95564, 159696, 5, 2451, 119055, 23173, 2882, 9934, 36326, 2451, 506, 64260, 5332, 22426, 13159, 7508, 40096, 59461, 4151, 238144, 165607, 6235, 234221, 1470, 98071, 1211, 6, 148346, 26612, 236376, 1211, 12, 2451, 2808, 98071, 2442, 37826, 125523, 3523, 98071, 2882, 18583, 8903, 46053, 1470, 29259, 6093, 42572, 26612, 4667, 32, 2451, 36324, 13845, 107581, 6, 170355, 12984, 18583, 8903, 16803, 18225, 42493, 5, 2451, 119055, 13845, 1470, 98071, 4667, 1470, 54260, 4667, 4, 6, 94741, 40920, 874, 98071, 2442, 4, 51678, 3069, 31467, 506, 13845, 152656, 4838, 148346, 98071, 35044, 5, 29771, 148346, 6093, 81444, 37826, 7508, 40096, 59461, 1211, 95455, 119055, 29259, 148346, 1751, 75230, 1211, 6, 71804, 23405, 6235, 506, 40096, 6, 190135, 26612, 42572, 48775, 8903, 6, 159696, 15388, 4151, 6, 23173, 148346, 29060, 6428, 99766, 1211, 874, 98071, 2882, 10676, 3523, 29259, 46598, 18583, 119718, 21106, 16932, 4, 2205, 21106, 8580, 37826, 9934, 98071, 9934, 98071, 4667, 42572, 33809, 1211, 1470, 98071, 2050, 6, 23173, 4838, 117902, 2442, 119055, 6093, 16932, 3523, 98071, 2882, 241997, 4151, 119718, 23173, 28320, 5, 2451, 4838, 148346, 98071, 14856, 6, 225975, 2882, 6, 23173, 119055, 29259, 148346, 6093, 2451, 506, 64260, 22753, 18583, 98071, 148346, 1644, 6235, 506, 40096, 1470, 152656, 6, 212915, 36909, 23173, 153585, 3523, 98071, 2882, 1470, 33809, 36909, 46685, 4484, 235210, 4484, 29259, 2882, 3069, 31467, 1470, 98071, 2442, 42572, 48775, 8903, 2451, 2865, 183718, 148346, 98071, 1644, 4, 36324, 220224, 3496, 71577, 1211, 4852, 98071, 4667, 3069, 31467, 5666, 75230, 6293, 4, 1470, 98071, 4852, 1470, 75230, 4667, 3523, 98071, 2882, 3069, 31467, 18583, 4852, 98071, 16747, 98071, 38249, 5, 6428, 54260, 1211, 64890, 16803, 119055, 29060, 3523, 98071, 2882, 4838, 177282, 75230, 152656, 4, 506, 29771, 6293, 1470, 98071, 4667, 4, 2451, 7511, 49597, 2882, 37922, 6093, 4, 3496, 26612, 75230, 6093, 7508, 98071, 2050, 7511, 64659, 1211, 32, 7369, 37826, 6428, 99766, 1211, 6, 47351, 1470, 54260, 2702, 37016, 2865, 98071, 2882, 4838, 3523, 29259, 46598, 18583, 119718, 21106, 16932, 4, 42542, 1470, 98071, 4667, 6, 148346, 26612, 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 ]

[ 98071, 2050, 6319, 29259, 1211, 9424, 238144, 119055, 6093, 16932, 3523, 98071, 2882, 23173, 75230, 131002, 98071, 15388, 5, 2451, 6319, 172398, 2882, 6, 23173, 75230, 131002, 98071, 15388, 4, 6319, 172398, 2882, 2451, 506, 64260, 9934, 98071, 4667, 7508, 40096, 59461, 4838, 6, 75290, 6235, 97634, 1211, 2808, 75230, 4667, 3069, 31467, 1470, 98071, 2442, 2451, 2808, 98071, 4667, 42542, 1285, 49597, 2442, 125523, 6319, 29259, 1211, 6, 170355, 4667, 3523, 98071, 2882, 6, 225975, 1211, 4838, 6293, 19302, 29766, 5, 874, 98071, 16803, 75322, 58032, 13845, 1470, 98071, 4667, 9934, 98071, 4667, 6428, 99766, 1211, 6, 71804, 23405, 3523, 98071, 2882, 1470, 54260, 5666, 234221, 4, 874, 172398, 2882, 9934, 98071, 4667, 7508, 98071, 40920, 1211, 5, 3111, 31467, 2451, 101328, 4, 7508, 40096, 59461, 2702, 119055, 29259, 148346, 4, 37826, 133190, 6, 148346, 93704, 23173, 159212, 364, 53414, 24464, 1470, 98071, 2050, 4838, 186046, 159696, 2442, 16932, 4, 1470, 33809, 1211, 1470, 98071, 56169, 37826, 9934, 98071, 1751, 75230, 1211, 132025, 8903, 506, 75230, 148346, 1211, 12, 2451, 76961, 2865, 39083, 874, 98071, 2882, 1285, 49597, 2442, 36324, 75230, 4, 7508, 12, 1470, 54260, 59461, 6428, 23173, 36909, 16803, 1470, 33809, 107182, 33809, 2050, 22753, 18406, 7508, 12, 23173, 13497, 28726, 4944, 4484, 29259, 2882, 5, 2451, 48494, 203232, 151614, 148346, 1470, 98071, 4667, 1751, 75230, 1211, 16175, 75230, 4852, 13497, 874, 39083, 221387, 2451, 506, 64260, 6235, 225975, 2882, 7508, 40096, 23269, 48775, 6, 148346, 2442, 75230, 23269, 168155, 2451, 8300, 33809, 1644, 98071, 148346, 10676, 37826, 1285, 49597, 2442, 36324, 75230, 132025, 8903, 3131, 22426, 23173, 2882, 1470, 98071, 148346, 6093, 8300, 33809, 2442, 29259, 46053, 2808, 33809, 16747, 4852, 10676, 10498, 33809, 13159, 32, 1470, 98071, 1211, 6, 101328, 4, 6, 159696, 15388, 6, 23173, 148346, 29060, 18583, 1470, 29259, 4667, 151614, 148346, 1211, 874, 98071, 2442, 6, 61397, 46598, 5, 905, 32887, 22444, 6, 12483, 21776, 2702, 42542, 34076, 29259, 104238, 153585, 4, 36324, 4151, 36909, 33809, 1211, 170479, 5332, 22426, 13159, 6, 23173, 75230, 95564, 33809, 51723, 5, 1470, 98071, 2442, 1054, 29259, 13497, 36909, 23173, 25391, 98071, 148346, 1211, 4838, 6293, 7508, 6093, 6, 148346, 98071, 68959, 36326, 32, 2451, 5, 6, 101328, 5, 2451, 1470, 98071, 4852, 4269, 33809, 2882, 5, 1470, 98071, 4667, 151614, 148346, 4838, 6, 148346, 233364, 198093, 67882, 710, 82576, 4838, 6293, 1470, 54260, 59461, 4838, 81414, 88660, 57277, 163177, 36909, 26612, 148346, 2442, 98071, 4484, 4, 4838, 6, 80453, 98071, 119718, 40096, 6093, 5, 119055, 13845, 1470, 98071, 4667, 1470, 29259, 4667, 6235, 148346, 1211, 4838, 6319, 119718, 98071, 2882, 109316, 3069, 31467, 2808, 98071, 2050, 5, 7369, 37826, 874, 98071, 2442, 1285, 49597, 193012, 4151, 8300, 54260, 21295, 4, 36324, 220224, 6, 101470, 1470, 98071, 56169, 6, 26394, 47526, 98071, 75290, 5666, 29259, 4113, 6, 23173, 148346, 4113, 16932, 5, 7369, 119055, 29060, 1470, 29259, 4667, 1751, 75230, 1211, 6428, 33809, 2442, 4944, 36909, 98071, 61621, 5, 220224, 6, 238144, 46053, 1285, 49597, 6, 159696, 15388, 27, 37271, 80453, 64260, 37016, 10918, 49597, 4113, 20971, 2451, 506, 64260, 18133, 66168, 64659, 1211, 30109, 33809, 2050, 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 ]

[ 3523, 2865, 54260, 10813, 6235, 97634, 1211, 2451, 80453, 174121, 4484, 10918, 49597, 4113, 32, 1470, 98071, 1211, 4838, 42572, 29259, 59461, 6, 71804, 8903, 42542, 7369, 9934, 98071, 4667, 81444, 6, 148346, 21106, 2648, 4838, 159696, 4484, 128540, 3069, 31467, 76961, 2808, 98071, 148346, 6093, 98071, 39340, 27702, 238144, 2442, 98071, 2050, 6, 23173, 148346, 29060, 212484, 4113, 27, 2451, 95455, 9424, 29060, 109316, 119055, 13845, 1470, 98071, 4667, 1470, 29259, 4667, 6, 57277, 39340, 163139, 1211, 132025, 25391, 29259, 148346, 1211, 5, 2205, 874, 29259, 1211, 2808, 54260, 26394, 1470, 98071, 4852, 4, 1470, 98071, 2442, 170479, 2882, 4151, 2865, 98071, 2882, 3523, 98071, 2882, 18583, 10918, 49597, 12483, 27, 4151, 113889, 4667, 42542, 153585, 145813, 29060, 5, 37271, 26612, 6, 71804, 8903, 3523, 33809, 3111, 31467, 2004, 2451, 506, 64260, 4838, 6, 236376, 6235, 97634, 1211, 1285, 49597, 66168, 64659, 2451, 2808, 33809, 1211, 2181, 37826, 2808, 98071, 2050, 1751, 75230, 1211, 18583, 13982, 120467, 1211, 4, 199145, 7369, 37826, 1470, 98071, 2050, 220273, 6, 148346, 93704, 23173, 159212, 4151, 8300, 54260, 67873, 22444, 21106, 4113, 67882, 16011, 13159, 12, 564, 54260, 28726, 4, 170479, 7369, 22518, 29259, 148346, 1211, 27, 6, 238144, 7511, 49597, 152194, 16667, 4, 170479, 7508, 40096, 59461, 1470, 98071, 8300, 16932, 6, 148346, 26612, 1470, 98071, 2050, 6319, 54260, 1211, 6, 170355, 4667, 3523, 98071, 2882, 4151, 119718, 98071, 46053, 9934, 98071, 4667, 27, 2451, 1470, 98071, 4852, 3523, 40096, 1470, 29259, 4667, 95455, 9424, 29060, 109316, 27, 235466, 4, 235466, 27, 1470, 98071, 4667, 18583, 33104, 104238, 2808, 29259, 4667, 4, 36324, 4151, 36909, 33809, 1211, 42542, 5332, 22426, 13159, 6, 23173, 75230, 2050, 104378, 27, 5666, 4, 6, 12130, 5, 10676, 6, 26394, 21338, 119055, 29060, 7369, 6, 101470, 5, 123736, 148346, 6093, 199145, 1470, 98071, 4852, 1285, 49597, 41764, 710, 28726, 4, 1470, 75230, 148346, 2648, 98071, 6, 71804, 8903, 1470, 98071, 4852, 215031, 4, 36324, 9934, 29771, 119718, 98071, 4852, 29771, 42542, 7369, 1470, 98071, 2050, 3523, 98071, 2882, 6, 146598, 7511, 49597, 64213, 4, 1470, 33809, 1211, 34076, 40096, 36324, 75230, 506, 64260, 7369, 1470, 98071, 2050, 6, 23173, 29259, 23405, 13845, 176727, 1470, 98071, 1211, 6319, 65482, 23269, 32, 2451, 36324, 75230, 4, 36324, 75230, 4, 3496, 26612, 159696, 2442, 18133, 66168, 64659, 2451, 506, 64260, 9934, 98071, 4667, 16175, 75230, 1211, 7508, 40096, 59461, 874, 98071, 2882, 1470, 98071, 2050, 8903, 7916, 49597, 21295, 364, 54260, 1982, 98071, 5666, 220273, 163139, 49597, 6, 75322, 39083, 2451, 148346, 90848, 68959, 49008, 564, 98071, 2442, 4, 364, 54260, 16803, 8947, 4, 3069, 31467, 2050, 3373, 29771, 10918, 49597, 21106, 98071, 4852, 2050, 5, 4838, 4231, 75230, 25207, 6, 148346, 90848, 2648, 4852, 23269, 7511, 64659, 4, 6, 94741, 63020, 1470, 98071, 4667, 1470, 29259, 4667, 6, 225975, 1211, 4, 123736, 148346, 6093, 1470, 33809, 50856, 905, 6093, 37016, 98071, 83182, 119055, 46598, 4838, 119718, 23173, 4113, 6, 49209, 6, 148346, 13159, 6093, 5, 1470, 98071, 4852, 163139, 9934, 29259, 13497, 1470, 98071, 2442, 207748, 2882, 6235, 159696, 1211, 7508, 5, 2932, 48904, 26394, 9424, 29259, 2882, 2205, 199145, 37826 ]

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

[ 1470, 98071, 2442, 6235, 97634, 1211, 32, 2451, 163139, 49597, 170479, 1470, 98071, 4667, 1470, 29259, 4667, 6, 225975, 1211, 2451, 506, 64260, 1285, 49597, 2050, 7511, 64659, 1211, 6319, 75230, 2050, 221387, 199145, 2442, 40096, 59461, 21776, 2050, 4, 1470, 33809, 1211, 41764, 710, 185226, 1470, 98071, 56169, 37826, 7369, 9934, 98071, 4667, 3523, 98071, 2882, 6235, 119718, 39083, 2882, 6, 23173, 29259, 5666, 212484, 1211, 1470, 98071, 1211, 1644, 48904, 8903, 93943, 25207, 46053, 4, 2200, 1470, 98071, 1211, 4838, 122868, 63593, 54260, 1211, 37826, 7369, 6235, 35596, 36909, 77188, 12, 2451, 18583, 5666, 54260, 2442, 65482, 9424, 29259, 28320, 6235, 159696, 1211, 5, 119055, 6093, 42542, 6, 21106, 7611, 6235, 20315, 20260, 12483, 32, 2451, 7508, 40096, 59461, 37826, 6235, 104149, 4, 36324, 1285, 49597, 66168, 64659, 1211, 1470, 98071, 4852, 125523, 4838, 79981, 3523, 98071, 2882, 1470, 98071, 1211, 4151, 67826, 49597, 2865, 33809, 23405, 9424, 12, 7508, 54260, 35465, 4, 37826, 7369, 1470, 98071, 2050, 28415, 3523, 98071, 2882, 6235, 2882, 23269, 109636, 2050, 5, 1285, 49597, 14857, 98071, 8580, 1470, 98071, 4852, 125523, 8903, 39293, 46053, 4838, 148346, 98071, 35044, 4, 7369, 37826, 6, 148346, 93704, 48904, 20911, 18583, 1211, 874, 98071, 2882, 98071, 4484, 1470, 33809, 1211, 1470, 98071, 4852, 4838, 159696, 4484, 5, 2442, 12, 18583, 28726, 8903, 5927, 29259, 28320, 7508, 98071, 68867, 49597, 26394, 2050, 194885, 1211, 1285, 49597, 141879, 9424, 29259, 2882, 6235, 159696, 1211, 3523, 98071, 2882, 6319, 29259, 1211, 21733, 54260, 23269, 4, 2205, 1470, 98071, 148346, 150839, 75230, 22426, 2882, 1470, 98071, 4852, 1470, 98071, 2050, 1470, 75230, 2702, 23269, 240863, 12483, 95455, 6, 148346, 98071, 35044, 6, 2050, 98071, 69106, 4, 119055, 29771, 2050, 6093, 37826, 874, 98071, 2882, 8903, 148346, 48775, 40920, 42572, 33809, 1211, 6, 148346, 2442, 9416, 49597, 1211, 5, 4838, 119718, 23173, 4113, 37826, 7369, 8947, 241997, 151614, 148346, 1211, 26612, 6293, 657, 141847, 6093, 5, 123736, 148346, 6093, 7369, 37826, 54745, 1211, 241997, 6, 21106, 54260, 1211, 8947, 1211, 1470, 33809, 1211, 3523, 98071, 2882, 16175, 54260, 67873, 9934, 98071, 4667, 2865, 98071, 2882, 1285, 49597, 27702, 238144, 2442, 98071, 2050, 4, 874, 98071, 2882, 119055, 13845, 107581, 7369, 37826, 35830, 4151, 6, 148346, 98071, 68959, 36326, 1470, 98071, 5666, 54260, 119132, 36909, 23173, 148346, 48775, 40920, 364, 21106, 148346, 4113, 193012, 4, 1470, 98071, 148346, 150839, 75230, 22426, 2882, 4, 119055, 12483, 7369, 1470, 98071, 1211, 125523, 6235, 159696, 1211, 6, 148346, 26612, 1470, 54260, 7511, 5, 39340, 1470, 98071, 1211, 1285, 49597, 364, 29259, 168155, 1470, 33809, 1211, 7369, 37826, 6235, 104149, 220224, 6093, 1751, 159696, 2442, 17190, 148346, 1211, 874, 98071, 2882, 119055, 29259, 148346, 1470, 33809, 1211, 4484, 98071, 16747, 32, 6, 75322, 39083, 37826, 7369, 9934, 98071, 4667, 4269, 48904, 26394, 3496, 23173, 29771, 3131, 98071, 2050, 241997, 6, 148346, 26612, 2932, 54260, 1211, 874, 98071, 2882, 46711, 33809, 39340, 5, 119132, 9721, 75230, 2882, 874, 98071, 2882, 16175, 54260, 4, 6, 94741, 17017, 16803, 1470, 98071, 4852, 95455, 1470, 75230, 4667, 6235, 159696, 1211, 3523, 98071, 2882, 17824, 98071, 23405, 4, 1470, 98071, 56169, 2808, 98071 ]

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

[ 4852, 95455, 1470, 98071, 2050, 125523, 1751, 159696, 2442, 6093, 5, 1470, 75230, 101608, 10676, 2451, 2808, 3069, 31467, 8903, 4484, 33809, 2865, 65482, 9424, 29766, 4113, 12, 6, 150839, 64260, 3523, 98071, 2882, 6319, 29259, 1211, 1285, 49597, 25207, 163139, 49597, 6235, 506, 6093, 98071, 4484, 1470, 33809, 1211, 42572, 20961, 148346, 25207, 105405, 6, 59929, 26612, 4667, 9424, 29259, 2882, 4838, 6293, 4151, 2932, 59929, 5, 1470, 98071, 4852, 6319, 39083, 4852, 212915, 4151, 8248, 31467, 46685, 37826, 9934, 98071, 4667, 3523, 98071, 2882, 1470, 29259, 5666, 190135, 1470, 33809, 1211, 1285, 49597, 159696, 16932, 1211, 194885, 1211, 123736, 159212, 6, 76776, 36419, 4, 16175, 33809, 12483, 1470, 98071, 2050, 6, 238144, 1285, 49597, 119055, 33809, 16747, 12483, 5, 7369, 37826, 1751, 75230, 1211, 23050, 5, 80453, 33809, 119718, 2882, 4269, 54260, 1211, 4838, 6293, 6235, 39293, 1644, 95494, 159212, 192956, 2442, 6, 23173, 148346, 46598, 2451, 148346, 26612, 1470, 6235, 148346, 29259, 20315, 4, 1470, 98071, 4852, 6428, 99766, 36909, 23173, 17537, 1751, 159696, 2442, 123073, 6, 23173, 148346, 29060, 874, 98071, 2882, 17824, 98071, 23405, 123073, 5, 119055, 6093, 6, 101328, 98833, 9934, 98071, 4667, 125523, 1285, 49597, 1751, 159696, 2442, 123073, 32, 123736, 148346, 6093, 1285, 49597, 14857, 98071, 7611, 37826, 4838, 3523, 40096, 33809, 2442, 4, 199145, 7369, 42542, 9934, 98071, 4667, 3523, 98071, 2882, 3496, 71577, 1211, 4, 1470, 98071, 69855, 98071, 6, 23173, 148346, 29060, 220273, 7511, 49597, 2882, 18583, 194885, 6319, 75230, 1982, 13159, 12, 199145, 42542, 7369, 193178, 32, 1470, 33809, 1211, 7369, 31249, 29771, 159212, 1751, 75230, 1211, 206105, 193012, 1470, 98071, 1211, 4838, 6, 76776, 40920, 1644, 114436, 506, 75230, 4852, 5, 119718, 33809, 506, 98071, 1211, 37826, 1285, 49597, 14857, 98071, 8580, 1470, 98071, 8300, 16932, 241997, 4269, 54260, 1211, 32, 18583, 29659, 54260, 2882, 9934, 98071, 4667, 4, 36324, 1470, 98071, 1211, 21733, 33809, 148346, 42572, 33809, 1211, 1285, 49597, 6, 23173, 148346, 29060, 212484, 4113, 5, 70845, 1470, 98071, 4852, 123736, 148346, 6093, 4838, 79981, 42572, 33809, 1211, 6319, 137377, 3523, 98071, 2882, 6, 23173, 75230, 2702, 1285, 49597, 101296, 710, 36419, 874, 98071, 28320, 9424, 29060, 109316, 12, 163139, 49597, 36324, 75230, 95455, 37826, 9934, 98071, 4667, 1470, 75230, 2702, 8903, 13982, 54260, 2882, 874, 98071, 57277, 2865, 39083, 38, 2808, 33809, 1211, 4151, 98071, 75290, 4, 7508, 40096, 59461, 37826, 2181, 6235, 36909, 33809, 49008, 18583, 220273, 3523, 40096, 98071, 2442, 44779, 1470, 98071, 1211, 153585, 71804, 8903, 3069, 31467, 45223, 152656, 1470, 98071, 2050, 874, 98071, 2882, 4838, 9424, 29060, 109316, 27, 36324, 13845, 107581, 6, 148346, 26612, 23847, 98071, 152656, 27, 42572, 25207, 2932, 4, 119055, 29771, 25559, 64260, 7369, 8947, 220273, 6235, 3111, 31467, 1982, 12483, 2451, 100863, 29259, 4667, 6, 148346, 93704, 23173, 159212, 6, 225975, 1211, 7508, 40096, 59461, 1211, 4, 36324, 7369, 7508, 23173, 68959, 98071, 4667, 3523, 98071, 2882, 67882, 23822, 98071, 4113, 4667, 153585, 1470, 33809, 1211, 4838, 3373, 29771, 6293, 4, 6, 47351, 6, 37016, 5, 7369, 37826, 3523, 98071, 2882, 6235, 225975, 2882, 5, 874, 54260, 28726, 4, 119718, 120467, 42542, 7369, 1470, 98071, 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 ]

[ 3523, 98071, 2882, 6, 101470, 1470, 98071, 8300, 16932, 1470, 33809, 1211, 3069, 31467, 2442, 29259, 46053, 32, 6, 95494, 4, 119055, 33809, 1470, 98071, 4852, 2181, 26612, 506, 98071, 23405, 37016, 33809, 51723, 32, 1285, 49597, 14857, 98071, 8580, 37826, 1470, 98071, 1211, 115222, 3131, 65482, 132025, 8903, 2882, 71577, 2882, 95455, 9424, 29060, 109316, 874, 98071, 2882, 35189, 364, 84577, 12, 8947, 657, 98071, 98833, 5, 3523, 33809, 4269, 33809, 2882, 4, 4838, 6, 76776, 36909, 39340, 2865, 98071, 23269, 95455, 1470, 98071, 4852, 4, 170479, 95455, 657, 98071, 15388, 5, 7369, 119718, 39083, 2882, 133190, 153585, 4838, 6, 148346, 21106, 1211, 3069, 31467, 163139, 49597, 46053, 4, 199145, 119055, 39083, 2882, 1470, 98071, 8300, 16932, 6235, 97634, 1211, 6, 47351, 4838, 152848, 5, 2442, 6093, 6, 23173, 153585, 6, 99766, 5, 119055, 6093, 6, 238144, 2702, 199145, 6, 148346, 13159, 6093, 1470, 98071, 4852, 12, 9424, 98071, 153585, 1470, 98071, 23405, 48904, 64213, 171433, 2865, 91595, 98071, 4484, 1470, 33809, 1211, 6319, 29259, 1211, 6, 170355, 4667, 3523, 98071, 2882, 51678, 160204, 4, 4838, 148346, 98071, 3069, 31467, 153585, 1470, 98071, 5666, 54260, 119132, 874, 98071, 2882, 6428, 12, 137377, 61397, 98071, 2702, 65482, 42572, 33809, 1211, 17190, 148346, 1211, 4, 84475, 3069, 31467, 2442, 98071, 4484, 6, 23173, 29259, 50856, 29259, 46053, 9934, 98071, 4667, 1470, 98071, 1211, 17190, 148346, 1211, 6, 23173, 29259, 1211, 18583, 17645, 35465, 6, 80453, 29259, 4852, 4, 1470, 33809, 1211, 163139, 35189, 6, 148346, 26612, 159696, 15388, 7746, 4, 6, 23173, 148346, 213783, 1470, 33809, 1211, 45223, 152656, 43649, 33809, 22426, 1211, 21776, 56703, 119718, 53414, 119055, 29771, 15388, 27, 3056, 70845, 6, 238144, 29171, 6235, 159696, 1211, 1285, 6235, 94741, 20260, 12483, 1285, 49597, 14856, 3131, 33809, 2932, 65482, 4, 37826, 2808, 98071, 2050, 125523, 6, 23173, 4838, 3069, 31467, 113889, 148346, 10676, 6319, 137377, 7746, 3069, 31467, 238144, 2882, 98071, 20911, 292, 7369, 4151, 4484, 35596, 1470, 98071, 56703, 75230, 1211, 34076, 29259, 4667, 4, 10676, 6, 238144, 46545, 4, 95455, 16175, 39083, 3056, 95455, 3523, 98071, 2882, 42572, 33809, 1211, 1285, 6235, 238144, 13497, 192956, 4484, 137377, 238144, 2882, 98071, 38249, 6, 148346, 26612, 1470, 98071, 2050, 4, 199145, 1285, 49597, 48253, 98071, 7611, 21776, 4944, 13497, 9934, 98071, 4667, 874, 98071, 2882, 220224, 6319, 54260, 5666, 2865, 39083, 3523, 98071, 2882, 5, 5666, 29766, 657, 75230, 2882, 10676, 4, 163139, 49597, 7369, 145813, 98071, 33716, 9934, 98071, 4667, 4, 6, 238144, 16803, 7369, 1751, 75230, 1211, 4, 36324, 95455, 1470, 98071, 4852, 42572, 33809, 1211, 6428, 5, 63593, 13159, 4113, 6319, 137377, 238144, 2882, 98071, 38249, 4, 199145, 6, 186145, 152656, 9934, 98071, 4667, 6, 148346, 26612, 1470, 98071, 2050, 55242, 21295, 1211, 4, 123736, 148346, 6093, 36324, 220224, 186145, 152656, 9934, 98071, 4667, 4, 37826, 7369, 1751, 75230, 1211, 6, 113889, 133324, 46598, 4838, 42572, 24295, 56169, 123073, 6, 76776, 40920, 5, 6, 64260, 1470, 98071, 148346, 21295, 1470, 98071, 56703, 75230, 1211, 4838, 36909, 98071, 28726, 5, 6, 21106, 5666, 36909, 21106, 2050, 1470, 98071, 4852, 1470, 98071, 2050, 4151, 238144, 165607, 1470, 98071, 23405, 48904 ]

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

[ 64213, 6319, 21106, 17645, 6235, 119718, 29766, 1211, 1285, 49597, 29659, 98071, 2865, 33809, 23405, 5, 6, 159696, 15388, 4269, 54260, 1211, 1470, 98071, 1211, 30109, 33809, 148346, 42542, 1751, 75230, 1211, 364, 29259, 13497, 3523, 98071, 2882, 153585, 6319, 29259, 1211, 7508, 54260, 4667, 5, 874, 98071, 2050, 165592, 26612, 67826, 49597, 2865, 33809, 23405, 1470, 33809, 1211, 874, 98071, 2882, 215031, 6, 238144, 2882, 98071, 4484, 1470, 98071, 4852, 34076, 29259, 104238, 18583, 115374, 6, 12130, 21422, 148346, 26612, 119718, 29259, 56880, 9934, 98071, 4667, 5, 6428, 99766, 42572, 13845, 1211, 3523, 98071, 2882, 6319, 29259, 1211, 620, 91595, 4113, 67826, 49597, 2865, 33809, 183216, 6, 68558, 1470, 98071, 2050, 5, 1751, 75230, 1211, 29060, 192956, 193012, 4, 163139, 49597, 7369, 364, 186955, 1470, 98071, 1211, 1470, 54260, 1211, 120202, 76776, 61621, 21776, 2050, 6, 87311, 15388, 5, 2205, 364, 29259, 120580, 506, 26612, 2050, 1470, 98071, 2050, 137, 113889, 2882, 155, 3523, 23269, 7511, 49597, 142785, 4838, 874, 66293, 98071, 4484, 4838, 14856, 91275, 5666, 28726, 12984, 5, 95455, 37826, 1470, 98071, 2050, 4, 119718, 29259, 4852, 2882, 1470, 75230, 1982, 4, 1470, 75230, 4667, 18583, 95494, 67767, 5, 95455, 6, 148346, 13159, 18415, 119055, 39083, 2882, 18583, 1470, 98071, 2050, 1470, 98071, 56169, 6235, 159696, 1211, 2451, 2808, 29259, 5666, 31249, 29771, 152656, 5, 95455, 1470, 98071, 4852, 4, 4838, 23269, 119718, 4, 4151, 6, 148346, 13159, 16932, 874, 98071, 21338, 3069, 31467, 194885, 6319, 137377, 238144, 46545, 1211, 5, 6093, 37826, 9934, 98071, 4667, 1751, 75230, 1211, 4838, 36909, 98071, 28726, 6235, 506, 40096, 4838, 6, 212484, 6235, 97634, 1211, 159308, 6, 159696, 2932, 3069, 31467, 2050, 6, 76776, 40920, 147713, 150839, 75230, 4852, 5, 123736, 148346, 6093, 6, 148346, 21106, 2648, 37826, 7369, 9934, 98071, 4667, 4151, 87311, 13497, 12, 3069, 31467, 6, 128750, 98071, 4, 95455, 6, 76776, 40920, 1644, 114436, 506, 75230, 4852, 1470, 98071, 4852, 125523, 74806, 1644, 120467, 1211, 5, 42572, 25207, 2932, 4, 199145, 37826, 7369, 9934, 98071, 4667, 6235, 2808, 29259, 21295, 3069, 31467, 4838, 177282, 75230, 152656, 36909, 33809, 1211, 7508, 40096, 59461, 1211, 32, 6, 148346, 98071, 4852, 14856, 119055, 29060, 5332, 36909, 171428, 95455, 6, 76776, 40920, 147713, 150839, 75230, 4852, 1470, 98071, 4852, 3523, 98071, 2882, 6, 238144, 7511, 49597, 75290, 24464, 132025, 35189, 506, 21106, 148346, 1211, 6, 101328, 27, 1470, 98071, 23405, 48904, 64213, 1470, 98071, 148346, 6093, 98071, 39340, 9424, 29259, 2882, 6, 148346, 26612, 1470, 98071, 2050, 27, 163139, 49597, 48775, 23405, 1470, 98071, 4852, 125523, 18583, 1470, 98071, 2050, 1470, 98071, 1211, 6, 148346, 2442, 33809, 7511, 49597, 1211, 19302, 54260, 1211, 6235, 159696, 1211, 7508, 6093, 14856, 35044, 13159, 38, 1470, 98071, 1211, 13982, 75230, 46053, 1470, 98071, 4852, 6235, 159696, 1211, 3523, 59929, 4, 2181, 37826, 6235, 30473, 22426, 2882, 4838, 6, 189623, 109316, 4, 2205, 4151, 6319, 137377, 1470, 98071, 74004, 98071, 2050, 36324, 75230, 163139, 49597, 874, 98071, 2882, 6, 148346, 1644, 29259, 132025, 8903, 2932, 120467, 1211, 4, 2205, 1285, 49597, 6, 148346, 1644, 29259, 22753, 2648, 2882, 27, 119055, 33809, 506, 98071, 1211, 6319, 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 ]

[ 63532, 7369, 26612, 506, 98071, 1211, 32, 7508, 98071, 2050, 7511, 49597, 7611, 1470, 98071, 4852, 3523, 98071, 2882, 6235, 159696, 1211, 4151, 115556, 4, 7369, 170479, 9934, 98071, 4667, 18583, 1644, 98071, 61621, 5, 95455, 36909, 90848, 13497, 28726, 148346, 1211, 37826, 1470, 98071, 2050, 6235, 8903, 148346, 1211, 4838, 3373, 57277, 30473, 42572, 33809, 1211, 3069, 31467, 4852, 33809, 18406, 9934, 98071, 4667, 4838, 874, 98071, 21338, 1470, 98071, 1211, 17645, 35189, 6, 71804, 8903, 5, 7369, 3056, 6, 23173, 29259, 1211, 1470, 98071, 1211, 7369, 29659, 1211, 186046, 23173, 119132, 6, 23173, 29259, 5666, 240863, 4, 1470, 33809, 1211, 364, 98071, 13497, 6093, 4151, 16175, 9221, 37826, 7369, 9934, 98071, 4667, 6, 23173, 1285, 49597, 1470, 98071, 148346, 6093, 8903, 148346, 1644, 98071, 148346, 65482, 132025, 35189, 506, 21106, 148346, 1211, 1751, 29771, 8300, 33809, 23269, 3131, 22426, 23173, 2882, 4838, 6293, 1285, 49597, 6, 186145, 22426, 5, 36324, 75230, 20033, 163139, 49597, 7369, 37826, 9934, 98071, 4667, 6235, 36909, 98071, 21295, 4, 1470, 98071, 4852, 95455, 8903, 159696, 1211, 220273, 4838, 23050, 16932, 1470, 29259, 5666, 36909, 21106, 292, 7369, 1470, 98071, 1211, 34076, 29259, 4667, 1470, 29259, 23405, 29060, 1644, 29771, 152656, 5, 2865, 98071, 2882, 18583, 101296, 1982, 18415, 1470, 54260, 15388, 4, 123736, 148346, 6093, 1470, 98071, 23405, 48904, 64213, 6, 68558, 4231, 17160, 29766, 1470, 98071, 4852, 7508, 98071, 66168, 64659, 1211, 6235, 25207, 15388, 1470, 98071, 1211, 6, 76776, 40920, 147713, 150839, 75230, 4852, 4838, 6293, 7508, 6093, 364, 23173, 16932, 6, 76776, 25207, 4, 1470, 33809, 1211, 42572, 33809, 1211, 153585, 4269, 48904, 64213, 36909, 23173, 240863, 65482, 2050, 17190, 148346, 1211, 37826, 7369, 1470, 98071, 56169, 6235, 104149, 18583, 9934, 98071, 4667, 133190, 6, 148346, 2442, 33809, 7511, 49597, 1211, 5, 1285, 49597, 200795, 22426, 29766, 6, 101328, 1470, 98071, 4852, 7369, 120202, 8903, 31249, 29771, 152656, 4, 163139, 49597, 4838, 23050, 506, 23173, 23269, 16932, 5, 7369, 37826, 4838, 36909, 98071, 28726, 3523, 98071, 2882, 23269, 20315, 20260, 2050, 4, 163139, 49597, 36324, 75230, 4151, 6428, 119718, 29766, 29171, 37826, 1470, 98071, 2050, 874, 43178, 21106, 54260, 4113, 4667, 6235, 159696, 1211, 6, 152656, 1285, 49597, 186145, 22426, 2205, 163139, 49597, 36324, 75230, 7369, 1470, 98071, 1211, 21776, 164863, 48904, 49008, 6, 148346, 98071, 56880, 6, 76776, 40920, 1644, 114436, 506, 75230, 4852, 5, 123736, 148346, 6093, 6, 113889, 4944, 5, 25207, 2050, 4, 163139, 49597, 4151, 184639, 620, 29771, 6293, 1470, 98071, 4852, 6, 23173, 98071, 148346, 6093, 4, 163139, 49597, 36909, 1644, 7369, 37826, 9934, 98071, 4667, 3523, 98071, 2882, 23050, 47332, 23173, 29060, 3069, 31467, 2442, 98071, 4484, 1470, 29259, 57619, 33809, 31249, 29771, 152656, 4, 292, 7508, 6093, 6319, 137377, 37826, 1470, 98071, 2050, 6, 238144, 6235, 97634, 1211, 41764, 33809, 185226, 119718, 98071, 6, 128750, 98071, 6093, 4, 1470, 33809, 1211, 1470, 98071, 23405, 48904, 64213, 1470, 98071, 4852, 7369, 6235, 159696, 1211, 4838, 3069, 31467, 148346, 90848, 4944, 114436, 4, 292, 1470, 98071, 4852, 4151, 36909, 33809, 1211, 2932, 29766, 7511, 49597, 29659, 6, 23173, 75230, 2702, 23269, 4484, 33809, 51723, 5, 1470, 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 ]

[ 1211, 133190, 1285, 49597, 6235, 94741, 20260, 12483, 4, 3523, 98071, 2882, 6319, 29259, 1211, 23050, 148346, 29060, 65482, 1470, 33809, 1211, 159696, 2442, 6, 238144, 16803, 6428, 33809, 81455, 199145, 123073, 1470, 75230, 101608, 148346, 26612, 119718, 33809, 16803, 4852, 98071, 7511, 49597, 39340, 6, 59929, 29771, 10918, 49597, 26612, 10918, 49597, 13159, 6, 23173, 75230, 2702, 61397, 33809, 36909, 65482, 4, 151614, 148346, 1211, 9934, 98071, 4667, 6235, 22426, 1644, 171433, 16932, 2882, 1470, 33809, 1211, 23050, 22426, 1644, 171433, 16932, 2050, 5, 6, 64260, 119055, 12483, 119055, 29766, 232187, 119718, 39293, 2882, 1470, 98071, 2050, 81444, 1470, 98071, 8300, 16932, 4, 10676, 120202, 94741, 4944, 212484, 98071, 38249, 1470, 33809, 1211, 1470, 98071, 23405, 48904, 64213, 42572, 33809, 1211, 17190, 148346, 1211, 6, 47351, 23173, 75230, 2702, 23269, 31249, 29259, 35189, 28320, 4, 199145, 119055, 39083, 2882, 7369, 6235, 225975, 2882, 32, 874, 43178, 44779, 4, 36324, 7369, 119055, 39083, 2882, 125523, 8903, 71804, 40920, 42572, 33809, 1211, 1470, 98071, 1982, 27, 123736, 148346, 6093, 1285, 49597, 66168, 49597, 64213, 364, 75230, 148346, 2882, 220273, 7511, 49597, 2882, 6, 68558, 3069, 31467, 4838, 61621, 4, 199145, 119055, 29766, 29771, 113889, 119718, 119055, 39083, 2882, 6235, 225975, 2882, 5, 6, 29259, 1211, 120202, 36909, 29766, 1211, 42572, 33809, 1211, 6, 148346, 2442, 33809, 7511, 49597, 1211, 1470, 33809, 1211, 153585, 6319, 33809, 51723, 4838, 506, 6093, 36909, 23173, 13982, 98071, 16803, 1470, 98071, 2050, 4838, 36909, 98071, 28726, 3523, 98071, 2882, 4838, 506, 29766, 4, 292, 18583, 75290, 2882, 4, 41764, 33809, 185226, 163139, 49597, 37922, 98071, 64213, 4838, 6293, 28726, 506, 26612, 4944, 13159, 4, 16175, 33809, 2050, 8947, 1470, 98071, 2050, 364, 48904, 29771, 4113, 4, 3523, 98071, 2882, 6235, 4484, 33809, 20911, 6, 23173, 6, 21106, 7611, 4, 119055, 29766, 46598, 1470, 75230, 148346, 8947, 2808, 98071, 4852, 6, 76776, 4667, 18583, 47351, 36324, 75230, 42572, 98071, 1644, 1751, 159696, 2442, 98071, 4484, 29259, 28320, 874, 98071, 2882, 36324, 75230, 42572, 98071, 1644, 41764, 29259, 1211, 1470, 98071, 1211, 1470, 33809, 16747, 168155, 28726, 148346, 1211, 4, 1470, 98071, 1211, 3523, 98071, 2882, 6319, 29259, 1211, 6319, 33809, 69106, 3069, 31467, 4151, 119718, 29259, 16932, 1211, 9934, 98071, 4667, 4151, 36909, 33809, 1211, 4, 4151, 41764, 29259, 1211, 874, 98071, 2882, 7508, 98071, 2882, 159696, 2442, 98071, 4484, 29259, 28320, 119055, 53414, 4151, 36909, 33809, 1211, 3523, 98071, 2882, 17824, 98071, 23405, 6093, 5, 119055, 12483, 1470, 33809, 16747, 4852, 123073, 16175, 33809, 6093, 170479, 1211, 76961, 963, 4852, 39083, 151614, 148346, 1211, 18583, 1285, 49597, 1470, 75230, 15388, 1470, 75230, 4667, 95455, 4, 199145, 8947, 6319, 33809, 63532, 207748, 4838, 6293, 4151, 657, 98071, 20260, 6093, 4852, 29259, 2882, 42572, 33809, 66293, 17190, 148346, 1211, 4, 119055, 39083, 28320, 220224, 9934, 98071, 4667, 5332, 36909, 86733, 132025, 2932, 21660, 33809, 16747, 1211, 874, 98071, 2882, 125523, 6, 59929, 26612, 4667, 4838, 6, 148346, 25207, 5, 23269, 16747, 98071, 75290, 1211, 42572, 29259, 6093, 4, 1470, 33809, 1211, 5332, 36909, 59461, 119055, 39083, 2882, 95455, 6, 21106, 7611, 6, 59929, 26612, 4667, 4269, 98071, 104238, 3069, 31467 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 76776, 183216, 4, 2808, 54260, 35189, 95455, 6319, 33809, 63532, 207748, 6, 148346, 26612, 1470, 33809, 16747, 4852, 27, 1470, 33809, 1211, 125523, 10676, 4, 163139, 49597, 220224, 119055, 39083, 28320, 95455, 21106, 8580, 6235, 104149, 1470, 33809, 1211, 4838, 4667, 1285, 49597, 1470, 54260, 2932, 65482, 162726, 54260, 26394, 2702, 1470, 98071, 148346, 6093, 23269, 28726, 148346, 2882, 4, 119055, 12483, 14856, 170479, 4151, 71804, 183216, 215031, 1470, 54260, 119132, 4838, 9424, 29060, 109316, 4, 215031, 27, 199145, 119055, 39083, 2882, 7369, 6235, 97634, 1211, 32, 2648, 98071, 14857, 98071, 7611, 37826, 6235, 101296, 40920, 1470, 98071, 148346, 6093, 9934, 98071, 4667, 6, 47351, 132025, 13497, 189623, 3111, 31467, 5666, 5666, 4, 163139, 49597, 5332, 22426, 13159, 42572, 33809, 1211, 4852, 98071, 4667, 6, 23173, 137377, 23822, 54260, 35044, 141943, 98071, 4484, 4, 1470, 33809, 1211, 874, 98071, 2882, 364, 59929, 2882, 98071, 75290, 6, 84577, 31249, 120467, 20260, 29259, 2882, 37826, 7369, 47351, 5332, 152656, 6235, 97634, 1211, 1285, 49597, 1470, 75230, 15388, 12, 4838, 3373, 29771, 6293, 170479, 95455, 6, 101470, 38, 1285, 49597, 66168, 49597, 64213, 4, 10676, 1470, 54260, 148346, 98071, 4484, 129071, 98071, 119718, 1211, 1285, 49597, 66168, 49597, 64213, 4, 1470, 98071, 4852, 3523, 98071, 24621, 2050, 6235, 119718, 29766, 1211, 3069, 31467, 6, 212484, 1211, 9934, 98071, 4667, 42572, 98071, 61621, 42572, 33809, 1211, 34076, 40096, 36324, 75230, 8903, 94741, 20260, 12483, 4, 6, 68558, 4838, 6, 76776, 710, 4944, 46598, 3069, 31467, 2050, 192183, 25616, 213783, 17190, 148346, 1211, 27, 199145, 9934, 36326, 1470, 98071, 4852, 95455, 32, 36909, 33809, 1211, 6, 66293, 98071, 2050, 33809, 183216, 4838, 21776, 10918, 49597, 2648, 98071, 119718, 32, 1285, 49597, 141879, 6, 101328, 61621, 37826, 7369, 6235, 2865, 54260, 13497, 4, 36324, 874, 98071, 2882, 2648, 12, 67826, 49597, 2865, 33809, 183216, 37826, 7369, 9934, 98071, 4667, 1751, 75230, 1211, 6, 71804, 23405, 3069, 31467, 25207, 4944, 13497, 5, 123736, 148346, 6093, 6, 64260, 6319, 33809, 51723, 220224, 119718, 98071, 35189, 4, 163139, 49597, 3523, 98071, 24621, 36419, 6, 148346, 21106, 4113, 4944, 75230, 159696, 2050, 4, 1470, 33809, 1211, 199145, 6, 87311, 49008, 220224, 32, 84475, 220224, 6, 238144, 46053, 7511, 49597, 2882, 4, 36324, 41764, 33809, 185226, 163139, 49597, 1285, 4269, 48904, 26394, 21776, 119718, 39083, 33809, 42180, 4, 37826, 1470, 75230, 4667, 1285, 49597, 14857, 98071, 8580, 6, 71804, 23405, 48904, 33809, 1644, 98071, 33716, 76961, 194885, 564, 75230, 159696, 2702, 4, 1470, 33809, 1211, 6319, 75230, 2648, 141564, 39083, 292, 194885, 3523, 98071, 2882, 1470, 75230, 2702, 5666, 21660, 39083, 18415, 91275, 98071, 2865, 33809, 5666, 49008, 27, 1470, 98071, 4852, 2181, 1285, 49597, 21776, 92605, 10918, 49597, 4113, 42572, 33809, 1211, 17190, 148346, 1211, 4, 199145, 6, 80453, 33809, 119718, 2882, 6, 113889, 4944, 75322, 39083, 2808, 33809, 36909, 8300, 33809, 506, 75230, 148346, 1211, 10676, 6319, 137377, 4, 6319, 16870, 54260, 4838, 6, 75290, 3069, 31467, 160204, 1285, 49597, 7508, 142429, 4838, 6293, 9721, 98071, 4484, 32, 3523, 54260, 1211, 4, 8300, 33809, 2442, 98071, 4484, 1470, 98071, 1211, 1470, 29259, 6093, 7508, 33809, 6, 23173, 29259, 1211, 4 ]

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

[ 6, 148346, 21106, 4113, 4944, 75230, 159696, 2702, 3523, 98071, 24621, 36419, 4, 4151, 3523, 33809, 46685, 119055, 29060, 3523, 98071, 2050, 33809, 2442, 30741, 54260, 1211, 38, 1470, 33809, 1211, 1285, 49597, 14857, 98071, 8580, 37826, 9934, 98071, 4667, 6, 114436, 2932, 98071, 3131, 4838, 364, 75230, 148346, 6235, 97634, 1211, 42572, 33809, 1211, 6235, 147713, 6093, 2808, 33809, 1211, 36324, 3131, 4838, 152656, 6319, 39083, 37826, 7369, 17288, 159212, 98071, 4484, 4838, 9934, 171433, 6235, 97634, 1211, 12, 199145, 18583, 6, 47351, 132025, 3131, 98071, 39340, 7511, 49597, 3131, 38, 1470, 33809, 1211, 6, 23173, 9934, 98071, 4667, 6, 21106, 54260, 1211, 37826, 7369, 9934, 98071, 4667, 3069, 31467, 148346, 54260, 4852, 77188, 12, 84475, 7369, 620, 29771, 159212, 4, 29771, 35189, 7369, 620, 29771, 159212, 3523, 98071, 2882, 4, 199145, 1470, 98071, 83182, 4113, 24621, 18406, 6319, 33809, 63532, 81444, 874, 98071, 2882, 1470, 98071, 2050, 207748, 32, 2808, 33809, 1211, 6319, 75230, 2050, 37826, 7369, 9934, 98071, 4667, 4, 163139, 49597, 1470, 98071, 2050, 37826, 9934, 98071, 4667, 6235, 94741, 40920, 4, 6, 148346, 26612, 506, 6093, 29659, 4, 37826, 6093, 1751, 75230, 1211, 6, 148346, 13159, 6093, 6, 148346, 26612, 31249, 120467, 1211, 6, 148346, 26612, 119718, 33809, 16803, 4852, 98071, 7511, 49597, 4484, 3069, 31467, 6, 88660, 26394, 120580, 98071, 61621, 153585, 6235, 2648, 48904, 78683, 6293, 10676, 192183, 25616, 213783, 4, 199145, 81444, 16175, 33809, 2882, 9934, 98071, 4667, 6, 23173, 33809, 2050, 1470, 98071, 2050, 1470, 98071, 1211, 6, 76776, 40920, 147713, 150839, 75230, 4852, 4, 292, 2808, 98071, 148346, 150839, 75230, 22426, 2882, 4, 119055, 12483, 6, 64260, 95455, 17190, 148346, 1211, 1470, 98071, 4852, 1470, 98071, 2050, 1470, 98071, 1211, 4269, 48904, 64213, 42572, 25207, 27105, 4, 1470, 33809, 1211, 7369, 148346, 48904, 43178, 13497, 9934, 98071, 4667, 874, 98071, 2882, 1470, 98071, 2050, 3373, 26, 6093, 105235, 874, 39083, 4, 36324, 75230, 119055, 29060, 153585, 9424, 159696, 4484, 195164, 98071, 75290, 5, 101328, 4, 4151, 17824, 75230, 101608, 9934, 21106, 4, 199145, 14856, 37826, 241997, 3069, 31467, 100863, 29259, 12984, 3373, 29259, 35465, 3069, 31467, 6, 47351, 75322, 39083, 98071, 75290, 6319, 165592, 23173, 24621, 4, 1470, 98071, 4852, 42572, 33809, 1644, 6235, 159696, 1211, 874, 98071, 2882, 1285, 49597, 18583, 3131, 54260, 2648, 16667, 18415, 6319, 71804, 183216, 36909, 33809, 1211, 42572, 98071, 4852, 113889, 203749, 98071, 86733, 115374, 37016, 4852, 98071, 80885, 69106, 5, 9934, 98071, 1470, 98071, 4852, 3523, 98071, 2882, 6, 119273, 29060, 98071, 3131, 4, 1285, 49597, 42572, 98071, 4852, 98071, 39083, 171433, 98071, 36326, 115374, 37016, 4852, 98071, 80885, 69106, 4, 95455, 1470, 98071, 4852, 37922, 46598, 4, 123736, 148346, 6093, 1470, 54260, 16667, 1470, 98071, 4852, 19302, 29766, 12, 21106, 4113, 163139, 49597, 67873, 17190, 148346, 1211, 5, 1285, 49597, 66168, 64659, 1211, 37826, 9934, 98071, 4667, 220273, 6319, 54260, 5666, 2865, 39083, 3523, 98071, 2882, 207748, 190135, 4, 119718, 98071, 22518, 37016, 44779, 119055, 29259, 2882, 4151, 2648, 29771, 4852, 98071, 75290, 163139, 49597, 67873, 3069, 31467, 2050, 17190, 148346, 1211, 4151, 2932, 54260, 2882, 4, 292, 6, 64260, 55242, 16932, 81444, 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 ]

[ 12, 119055, 6093, 194885, 1211, 220224, 1285, 49597, 76961, 42572, 33809, 1211, 17190, 148346, 1211, 6, 23173, 75230, 2702, 8903, 3131, 22426, 29259, 18415, 4, 199145, 1285, 49597, 13497, 64260, 37826, 220224, 4838, 4667, 6, 148346, 208048, 40920, 81444, 76961, 3069, 31467, 5666, 75230, 36909, 8903, 76776, 33716, 874, 98071, 2882, 1470, 98071, 2442, 17824, 75230, 235210, 12483, 6, 148346, 48350, 46598, 4, 36324, 75230, 163139, 49597, 4838, 148346, 98071, 35044, 1470, 98071, 148346, 6093, 98071, 39340, 874, 98071, 16803, 32, 4838, 79981, 6235, 159696, 4852, 65482, 4, 6235, 159696, 4852, 65482, 4, 1470, 33809, 1211, 76961, 6319, 98071, 2865, 40096, 151614, 148346, 1211, 220224, 9934, 98071, 4667, 1751, 75230, 1211, 6, 71804, 23405, 6, 23173, 33809, 194734, 95064, 212484, 2882, 1470, 33809, 194734, 136108, 6093, 657, 98071, 7511, 49597, 4113, 42572, 33809, 1211, 17190, 148346, 1211, 27, 76961, 6319, 98071, 2865, 40096, 194885, 1211, 1751, 75230, 1211, 81444, 4151, 23822, 33809, 20260, 65482, 27, 1470, 33809, 1211, 2884, 2648, 98071, 3523, 29259, 4113, 6, 29766, 20315, 3111, 31467, 23405, 874, 98071, 2882, 1285, 49597, 76961, 874, 120467, 2050, 98071, 2050, 1644, 12483, 42572, 33809, 1211, 4151, 7508, 40096, 5666, 101296, 47332, 119055, 13845, 88945, 1211, 1470, 98071, 14857, 2882, 183512, 220224, 1211, 220224, 5332, 109636, 2050, 3069, 31467, 45223, 152656, 32, 3069, 31467, 2050, 6, 148346, 93704, 75230, 53414, 4, 37826, 1285, 49597, 74806, 98071, 40920, 76632, 49597, 2882, 6319, 29259, 1211, 6319, 48775, 159212, 4838, 6293, 3069, 31467, 2442, 98071, 4484, 5, 123736, 148346, 6093, 6319, 54260, 59461, 42572, 33809, 1211, 1285, 49597, 81444, 3069, 31467, 5666, 75230, 36909, 8903, 4484, 33809, 2865, 65482, 119718, 98071, 1644, 9934, 98071, 4667, 4151, 98071, 1211, 3523, 98071, 2882, 874, 75230, 20315, 153585, 4, 1470, 33809, 1211, 4838, 79981, 6, 153222, 109636, 2882, 9934, 98071, 4667, 125523, 177274, 9221, 6093, 6, 68558, 158628, 1211, 6, 148346, 98071, 35044, 657, 33809, 159212, 4, 6, 68558, 158628, 1211, 6, 71804, 23405, 18583, 240863, 65482, 2050, 8248, 31467, 49008, 29659, 2442, 21106, 27, 29771, 148346, 6093, 42572, 98071, 21295, 2181, 54745, 1211, 37922, 98071, 89930, 42572, 33809, 1211, 220224, 36324, 75230, 6235, 5666, 75230, 1285, 49597, 1470, 54260, 2932, 65482, 6, 71804, 23269, 32, 30109, 5, 59461, 3523, 98071, 2882, 38, 5, 5, 151614, 148346, 1211, 220224, 3496, 64260, 3131, 6235, 104149, 10676, 6, 87311, 96302, 4, 119055, 12483, 220224, 194885, 1211, 6, 23173, 98071, 148346, 6093, 8903, 226112, 28320, 1285, 49597, 17824, 65482, 8580, 9424, 119718, 98071, 81829, 153585, 1470, 33809, 1211, 6235, 159696, 1211, 32, 1470, 33809, 1211, 1285, 49597, 14857, 98071, 7611, 4, 1470, 75230, 148346, 6093, 163139, 49597, 1644, 4, 1470, 98071, 4852, 3069, 31467, 128750, 98071, 35465, 4838, 36909, 98071, 28726, 4, 199145, 7369, 37826, 6, 23173, 29259, 23405, 37016, 33809, 20911, 874, 98071, 2882, 1285, 49597, 1470, 54260, 2932, 65482, 2808, 75230, 15388, 1470, 98071, 1211, 54745, 27105, 29771, 4852, 98071, 38249, 120202, 23847, 33809, 13497, 5, 2181, 6, 148346, 75230, 2882, 9934, 98071, 4667, 6, 57277, 39340, 4838, 3523, 29259, 17190, 148346, 1211, 5, 8947, 2932, 54260, 2882, 4838, 6, 212394, 874, 98071, 2882, 364, 59929, 2882, 98071, 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 ]

[ 81414, 49597, 2882, 3069, 31467, 4151, 3069, 31467, 4484, 33809, 5666, 159212, 27, 123736, 148346, 6093, 42572, 33809, 1211, 22444, 159696, 2442, 119055, 29060, 6319, 33809, 51723, 32, 95455, 194885, 1211, 4838, 36909, 98071, 28726, 3523, 98071, 2882, 6319, 29259, 1211, 6319, 29766, 148346, 239162, 2050, 42572, 33809, 1211, 4151, 21776, 119718, 39083, 33809, 10918, 49597, 4113, 292, 1285, 49597, 21776, 119718, 39083, 33809, 10918, 49597, 4113, 37826, 221895, 6319, 29766, 148346, 239162, 2050, 6235, 148346, 48775, 40920, 12, 42572, 33809, 1644, 2865, 98071, 2882, 17190, 148346, 1211, 1470, 33809, 1211, 6, 170355, 159212, 194885, 1211, 6235, 159696, 1211, 1470, 98071, 25207, 6319, 29766, 148346, 239162, 2050, 4, 1470, 33809, 1211, 95455, 1470, 98071, 4852, 42572, 33809, 1211, 2865, 98071, 2648, 148346, 29766, 2865, 54260, 2702, 98071, 2050, 6, 47351, 120202, 36909, 21106, 4, 6428, 12, 874, 98071, 16803, 42572, 33809, 1211, 4151, 6, 21106, 16932, 6, 29766, 20315, 3111, 31467, 23405, 4, 292, 199145, 4852, 36326, 16175, 33809, 2882, 18225, 4151, 2865, 98071, 2882, 32, 165592, 75230, 1470, 98071, 4852, 6, 148346, 26612, 1285, 49597, 9719, 98071, 64213, 4151, 6319, 137377, 4, 6, 94741, 40920, 9934, 98071, 4667, 4, 1751, 75230, 1211, 1470, 23174, 48904, 64213, 6235, 159696, 2884, 21733, 29766, 5, 620, 29771, 152656, 37826, 7369, 28415, 6, 98071, 2882, 6235, 119718, 39083, 2882, 4, 1470, 33809, 1211, 95455, 1470, 54260, 112690, 39340, 4, 199145, 1470, 98071, 2050, 506, 64260, 9934, 98071, 4667, 1470, 98071, 8300, 16932, 1751, 57277, 24152, 23050, 100863, 33809, 16803, 4, 1470, 98071, 4852, 1470, 33809, 36909, 91275, 54260, 1211, 1470, 33809, 1211, 4838, 177282, 75230, 152656, 42572, 33809, 5666, 5, 94741, 49008, 292, 6319, 75230, 2648, 141564, 39083, 4838, 177282, 75230, 152656, 42572, 33809, 16747, 48904, 12483, 27, 123736, 148346, 6093, 2181, 1470, 98071, 1211, 125523, 6235, 159696, 1211, 36909, 710, 57619, 16932, 4, 6, 23173, 33809, 2050, 1470, 98071, 1211, 18225, 74806, 1644, 29771, 152656, 4, 1470, 33809, 1211, 1285, 49597, 19302, 29766, 4484, 29259, 2882, 42572, 33809, 1211, 6319, 137377, 1470, 98071, 4852, 1470, 75230, 4667, 8903, 159696, 1211, 4838, 6235, 5666, 23173, 6093, 98071, 36326, 5, 48494, 203232, 37826, 9934, 98071, 4667, 1470, 98071, 2050, 133190, 36324, 75230, 1470, 75230, 2702, 8903, 119718, 98071, 56880, 6, 23173, 35189, 21776, 8903, 27, 6, 148346, 21106, 2648, 125523, 10676, 7508, 114436, 98071, 38249, 874, 33809, 2050, 2808, 33809, 36909, 3131, 119718, 33809, 23405, 37826, 7369, 9934, 98071, 4667, 3131, 75230, 1211, 163139, 49597, 35189, 4151, 36909, 98071, 21295, 132025, 2865, 91595, 98071, 4484, 4, 163139, 49597, 1644, 5666, 212484, 1470, 33809, 1211, 1751, 119718, 2808, 4667, 4, 125523, 132025, 2865, 91595, 98071, 75290, 163139, 49597, 6, 128750, 98071, 6093, 2451, 35189, 98071, 1211, 37826, 4838, 17824, 75230, 46053, 564, 54260, 105330, 6235, 506, 40096, 1470, 75230, 4667, 153585, 506, 23173, 7611, 4, 199145, 1470, 98071, 4852, 1751, 75230, 1211, 6, 71804, 23405, 6235, 119718, 29766, 1211, 6, 148346, 26612, 1470, 98071, 2050, 220273, 7511, 49597, 2882, 6319, 29259, 1211, 9934, 98071, 104238, 37016, 54260, 28726, 292, 7369, 37826, 6, 21106, 54260, 1211, 3523, 98071, 2882, 6, 148346, 75322, 6093, 20911, 4, 163139, 49597, 7369 ]

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

[ 1470, 98071, 4852, 6, 148346, 21106, 2648, 6235, 147713, 1211, 3069, 31467, 2442, 98071, 78683, 1211, 1470, 75230, 2702, 2932, 21660, 75230, 2932, 114436, 4838, 6293, 153585, 6235, 147713, 6093, 4, 1470, 33809, 1211, 42572, 33809, 1211, 9934, 98071, 4667, 6, 21106, 54260, 1211, 151614, 148346, 1211, 9934, 98071, 4667, 1470, 98071, 2050, 2648, 12, 1470, 75230, 15388, 18583, 101296, 40920, 5, 2205, 6428, 47351, 37826, 7369, 4151, 104149, 18583, 9934, 98071, 4667, 292, 6, 90848, 104149, 5, 22753, 23269, 63532, 1470, 98071, 2050, 6, 23173, 33809, 2050, 18583, 1211, 6319, 137377, 2205, 4, 6, 23173, 29259, 20260, 33809, 4484, 213952, 1470, 98071, 2050, 16175, 98071, 6293, 1470, 98071, 1211, 1285, 49597, 1470, 75230, 15388, 23173, 29259, 1211, 4, 6, 225975, 2882, 9934, 98071, 12, 137, 46598, 119055, 39083, 2882, 1751, 75230, 1211, 9424, 29259, 2882, 6235, 159696, 1211, 4838, 6, 236376, 160204, 6, 159696, 15388, 4852, 33809, 46685, 2909, 1285, 49597, 14857, 98071, 8580, 37826, 1470, 33809, 36909, 8903, 10918, 49597, 16932, 2882, 12, 199145, 1470, 98071, 4852, 95455, 4, 364, 21106, 33809, 10918, 49597, 76776, 10918, 49597, 46598, 165592, 13845, 107581, 32, 95455, 364, 23173, 8580, 37826, 1470, 98071, 2050, 1751, 57277, 24152, 132025, 8903, 506, 75230, 148346, 1211, 3069, 31467, 21733, 71577, 1211, 4, 4151, 620, 29771, 6293, 2865, 98071, 2882, 4151, 4269, 48904, 89930, 874, 98071, 79950, 29259, 2882, 4151, 6, 128750, 98071, 6093, 2648, 123329, 1470, 98071, 4852, 163139, 49597, 35189, 1470, 98071, 1211, 1470, 54260, 1211, 21776, 8903, 119718, 98071, 3523, 98071, 2882, 6235, 119718, 29766, 1211, 5, 1470, 33809, 1211, 3496, 64260, 3131, 4838, 3069, 31467, 148346, 90848, 4944, 114436, 4, 123736, 148346, 6093, 3069, 31467, 2442, 7682, 1470, 98071, 1211, 24012, 4944, 16932, 6093, 88660, 20260, 25207, 158652, 29259, 2882, 4, 37826, 9934, 98071, 4667, 1285, 49597, 14857, 98071, 7611, 4151, 87311, 13497, 1751, 75230, 1211, 220273, 3069, 31467, 4151, 6, 170355, 4667, 12, 6, 150839, 64260, 125523, 6, 90848, 104149, 6319, 29259, 1211, 6, 148346, 2442, 98071, 119718, 1644, 3523, 98071, 2882, 132025, 8903, 25391, 98071, 148346, 1211, 5, 95455, 1470, 98071, 4852, 3523, 98071, 2882, 4269, 33809, 2882, 4, 1470, 33809, 1211, 4838, 6293, 35189, 874, 98071, 3111, 31467, 2882, 37826, 7369, 120202, 8903, 119718, 29766, 152656, 76961, 3373, 36909, 54260, 39340, 2050, 12, 1470, 98071, 83182, 63593, 13159, 1211, 4, 199145, 506, 64260, 7369, 81444, 6, 71804, 23405, 9424, 6, 236376, 1211, 32, 7369, 119055, 29060, 132025, 25391, 29259, 148346, 1211, 6, 90848, 104149, 4, 36324, 7369, 1470, 98071, 1211, 1530, 7511, 2882, 28415, 6319, 29259, 1211, 18583, 84577, 119718, 99766, 192956, 2442, 16175, 33809, 6093, 4, 36324, 7369, 1470, 98071, 4852, 6235, 119718, 29766, 1211, 4838, 117902, 36326, 16932, 6, 23173, 148346, 4113, 16932, 4, 1470, 33809, 1211, 215031, 119055, 29060, 7369, 1751, 75230, 1211, 18583, 148346, 1644, 29259, 148346, 1211, 27, 3523, 98071, 97634, 6, 159696, 15388, 21776, 2050, 119718, 120467, 3069, 31467, 7508, 54260, 35465, 27, 1470, 33809, 1211, 6428, 47351, 119055, 29060, 7369, 4838, 6293, 6, 48253, 98071, 78683, 159696, 2702, 6, 104149, 4, 199145, 9934, 98071, 119055, 46598, 1470, 98071, 2050, 6093, 33809, 6293, 6, 35596 ]

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

[ 36909, 53414, 5, 95455, 119055, 29060, 153585, 4151, 37922, 13159, 6093, 6, 80453, 33809, 148346, 98071, 2442, 29659, 54260, 1211, 18583, 1470, 98071, 2442, 5, 2808, 54260, 1211, 6, 170355, 4667, 1470, 98071, 4852, 1470, 98071, 2050, 1751, 75230, 1211, 1470, 98071, 8300, 16932, 6235, 159696, 1211, 19302, 29766, 12, 18583, 1211, 620, 29771, 6293, 1470, 98071, 4852, 364, 29259, 13497, 98071, 39340, 6, 76776, 40920, 4838, 18583, 1644, 29766, 65482, 5, 123736, 148346, 6093, 6, 236376, 1211, 1470, 98071, 56169, 6, 159696, 15388, 6, 90848, 104149, 1470, 98071, 4852, 1470, 75230, 4667, 7511, 49597, 2882, 1285, 49597, 9424, 29259, 2882, 5, 2205, 6, 148346, 37016, 98071, 119718, 1211, 48706, 23173, 29060, 7369, 9934, 98071, 4667, 6, 23173, 98071, 148346, 6093, 8300, 33809, 10918, 49597, 12483, 153585, 3069, 31467, 3131, 75230, 5, 148346, 77188, 1211, 23050, 48775, 20260, 4838, 6293, 1285, 49597, 76961, 4, 199145, 657, 98071, 15388, 81444, 23050, 148346, 1211, 1470, 98071, 2050, 36324, 75230, 6, 113889, 35596, 4, 1470, 33809, 1211, 128750, 4113, 27105, 194885, 1211, 220224, 1470, 98071, 1982, 4, 163139, 49597, 42572, 25207, 27105, 8947, 6319, 68558, 133190, 6235, 148346, 1211, 5, 1470, 98071, 4852, 1285, 49597, 6, 128750, 63593, 24152, 29259, 2882, 2648, 98071, 2648, 29771, 4852, 98071, 39340, 3523, 98071, 2882, 6319, 29259, 1211, 21776, 29659, 1644, 42572, 33809, 1211, 4151, 19302, 54260, 5666, 148346, 98071, 2442, 61397, 192956, 2442, 1470, 33809, 1211, 10498, 39083, 5, 4113, 2932, 29771, 98071, 16803, 98071, 59461, 6, 75322, 39083, 98071, 75290, 3373, 119718, 98071, 159696, 194885, 2442, 32, 194885, 1211, 220224, 1470, 98071, 2050, 54745, 1211, 3523, 98071, 2882, 6319, 29259, 1211, 148346, 2442, 98071, 35189, 1470, 98071, 1211, 1285, 49597, 657, 29259, 35465, 42572, 33809, 1211, 4151, 115556, 506, 29259, 2882, 32, 6, 76776, 4, 199145, 1470, 98071, 4852, 95455, 18583, 26612, 6319, 71804, 183216, 36324, 13845, 107581, 32, 37922, 98071, 89930, 37826, 9934, 98071, 4667, 6, 26394, 238144, 13497, 42572, 33809, 1211, 620, 29771, 6293, 4, 36324, 75230, 1470, 98071, 1211, 13159, 3523, 98071, 2882, 132025, 8903, 119132, 3069, 31467, 364, 53414, 4, 163139, 49597, 4838, 4151, 119718, 92605, 2702, 114436, 115556, 6, 238144, 13497, 42572, 33809, 1211, 31249, 29771, 6293, 27, 3523, 98071, 2882, 4838, 83182, 3131, 4, 7369, 119055, 29060, 9934, 98071, 4667, 874, 33809, 56880, 874, 98071, 2882, 1470, 98071, 2050, 7508, 33809, 2442, 30741, 2865, 33809, 13159, 1211, 22639, 35189, 128750, 98071, 5, 7369, 119055, 29060, 1470, 98071, 2050, 364, 54260, 46053, 6, 23173, 29259, 23405, 54260, 1211, 3069, 31467, 4838, 81444, 4484, 16932, 27, 1470, 98071, 4852, 163139, 49597, 6, 71804, 23405, 42542, 20315, 1211, 4838, 115556, 36324, 75230, 17190, 148346, 1211, 6, 68558, 6, 23173, 148346, 29060, 32, 1470, 33809, 1211, 199145, 1470, 33809, 1211, 18583, 6, 159696, 51723, 42542, 18225, 4113, 22426, 13159, 1470, 33809, 36909, 710, 68558, 874, 12, 2882, 215031, 17190, 148346, 1211, 32, 5, 5, 95455, 364, 54260, 16803, 4, 3523, 98071, 2882, 6, 159696, 15388, 10676, 37826, 2648, 98071, 2882, 15231, 64659, 1211, 6235, 236376, 27, 4151, 115556, 6, 238144, 13497, 125523, 4838, 79981, 27, 9424, 98071, 119055, 39083, 2882, 7369, 1470, 98071, 2050, 7511 ]

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

[ 49597, 2882, 6, 148346, 93704, 23173, 159212, 42572, 208048, 83182, 159696, 38249, 1470, 33809, 1211, 564, 23173, 33809, 98071, 38249, 27, 1470, 33809, 1211, 41764, 33809, 185226, 163139, 49597, 6319, 54260, 59461, 119718, 39083, 2882, 81444, 6, 148346, 98071, 4852, 98071, 56169, 220273, 7511, 49597, 2882, 74806, 1644, 29771, 152656, 4, 1470, 98071, 4852, 6, 148346, 21106, 2648, 6235, 119718, 29766, 1211, 1470, 98071, 1211, 874, 98071, 28320, 6, 76776, 4944, 57277, 16175, 33809, 17017, 1470, 98071, 1211, 6, 76776, 40920, 147713, 150839, 75230, 4852, 5, 2451, 4838, 4, 199145, 32, 199145, 1470, 98071, 4852, 74806, 12483, 32, 2808, 33809, 1211, 4838, 4269, 90848, 148346, 4113, 4, 9934, 5, 1982, 123073, 6, 13497, 98071, 24621, 6, 35596, 36909, 77188, 42572, 33809, 1211, 4838, 4151, 148346, 29259, 98071, 38249, 6, 148346, 29060, 1644, 36324, 75230, 15529, 98071, 4484, 12, 2451, 6, 76776, 4, 199145, 1470, 98071, 4852, 32, 1470, 98071, 2442, 6319, 35596, 3523, 98071, 2882, 10676, 6, 238144, 59461, 32, 6, 148346, 40096, 171433, 1751, 98071, 75290, 2882, 23847, 4, 6, 148346, 208048, 40920, 6, 238144, 13497, 7369, 5, 159696, 33716, 1751, 75230, 1211, 220273, 6, 128750, 54260, 44779, 1285, 49597, 67826, 49597, 2865, 33809, 23405, 1470, 98071, 1211, 364, 75230, 4852, 4, 1470, 33809, 1211, 37922, 98071, 89930, 22518, 29259, 2882, 12, 2451, 364, 54260, 4, 6, 137218, 159696, 2442, 4, 6, 76776, 1285, 49597, 2442, 4838, 34076, 48350, 109316, 4, 4838, 34076, 48350, 109316, 6, 76776, 7508, 98071, 2442, 32, 95766, 4838, 4269, 48904, 26394, 6, 107581, 119718, 25207, 3496, 71577, 2882, 1470, 33809, 13497, 6093, 12, 2451, 3496, 26612, 4944, 26612, 4944, 26612, 38, 191795, 4944, 29771, 4944, 29771, 38, 2648, 98071, 14857, 98071, 8580, 42542, 3523, 98071, 2882, 9213, 36909, 101470, 36324, 13845, 107581, 6, 170355, 12984, 36324, 75230, 17824, 98071, 23405, 5, 1285, 49597, 66168, 49597, 64213, 3056, 4852, 54260, 6093, 3523, 98071, 2882, 132025, 8903, 119132, 3069, 31467, 364, 53414, 4, 163139, 49597, 4838, 4151, 119718, 92605, 2702, 114436, 115556, 6, 238144, 13497, 42572, 33809, 1211, 100863, 29766, 5, 123736, 148346, 6093, 4838, 36909, 98071, 28726, 6, 23173, 10676, 6235, 94741, 20260, 42542, 7369, 9934, 98071, 4667, 3523, 98071, 2882, 192183, 26394, 120580, 98071, 61621, 292, 119718, 33809, 38, 4151, 16175, 33809, 17017, 1470, 98071, 4852, 17824, 75230, 2702, 4, 1470, 33809, 1211, 6, 64260, 22518, 29259, 2882, 1751, 75230, 1211, 220273, 1470, 54260, 59461, 12, 2451, 199145, 6, 212484, 2882, 1470, 98071, 2442, 3523, 98071, 2882, 620, 29771, 152656, 4, 1751, 54260, 2648, 98071, 2050, 170479, 1211, 1470, 29259, 4667, 6, 101470, 27, 29771, 148346, 6093, 81444, 1470, 98071, 4852, 1285, 49597, 6, 40096, 2050, 120467, 36909, 6093, 215031, 4, 41764, 33809, 185226, 163139, 49597, 18225, 119055, 39083, 2882, 133190, 119055, 23173, 28320, 23173, 37922, 98071, 8300, 16667, 4838, 21776, 22426, 1644, 98071, 39340, 1470, 33809, 1211, 4151, 6, 35596, 36909, 6093, 1470, 98071, 4852, 3069, 31467, 148932, 9424, 29259, 2882, 17824, 54260, 2882, 292, 7511, 49597, 2882, 1470, 54260, 59461, 4, 125523, 6, 59929, 26612, 4667, 4, 1470, 54260, 16667, 1751, 23173, 36909, 4852, 98071, 7511, 49597, 75290, 1470, 33809, 1211, 6, 186145, 36909 ]

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

[ 28726, 75578, 42572, 33809, 66293, 5, 905, 183512, 53414, 4, 2205, 6, 64260, 42572, 1644, 98071, 12483, 220224, 1751, 75230, 1211, 4, 6428, 12, 6, 35596, 36909, 53414, 4, 3069, 31467, 2050, 18583, 8903, 7511, 49597, 15388, 42572, 33809, 1211, 23050, 5, 2648, 98071, 40920, 1211, 1470, 75230, 28726, 2050, 4, 1470, 98071, 1211, 7508, 6093, 364, 21106, 148346, 2882, 33809, 177243, 4484, 29259, 2882, 42572, 33809, 1211, 1285, 49597, 6, 148346, 29060, 44779, 6, 23173, 29259, 1211, 12, 2451, 620, 29771, 152656, 119055, 119273, 33809, 4838, 6293, 4231, 114436, 6, 159696, 21295, 38, 2451, 119055, 39083, 16803, 125523, 5332, 36909, 59461, 6, 159696, 67873, 4838, 119055, 29259, 148346, 14856, 170479, 1285, 49597, 2442, 81444, 6235, 148346, 1211, 32, 2808, 33809, 1211, 163139, 49597, 35189, 19302, 98071, 5666, 13497, 1751, 75230, 1211, 9424, 119718, 98071, 81829, 1470, 75230, 28726, 2050, 4, 36324, 75230, 163139, 49597, 1470, 98071, 1211, 874, 98071, 28320, 45223, 1211, 16175, 232187, 6293, 220273, 4838, 6, 128750, 54260, 192956, 2442, 1470, 33809, 1211, 4838, 657, 29259, 40920, 4852, 98071, 7511, 49597, 75290, 18583, 235210, 1644, 33809, 23405, 12, 2451, 3496, 26612, 4944, 26612, 4944, 26612, 38, 3496, 29771, 4944, 29771, 4944, 29771, 38, 2442, 98071, 9719, 98071, 64213, 1470, 98071, 4852, 1751, 159696, 2442, 3069, 31467, 18583, 148346, 25207, 183216, 36324, 75230, 194885, 3523, 91595, 5, 1470, 98071, 4852, 123736, 5, 159696, 15388, 199145, 37826, 7369, 6235, 236376, 32, 163139, 49597, 6, 71804, 23405, 42542, 54745, 1211, 4838, 115556, 36324, 75230, 17190, 148346, 1211, 68558, 6, 23173, 148346, 29060, 32, 1470, 33809, 1211, 199145, 1470, 33809, 1211, 18583, 6, 159696, 51723, 42542, 18225, 5332, 22426, 13159, 1470, 33809, 159212, 68558, 874, 98071, 57277, 170355, 17190, 148346, 1211, 32, 95455, 364, 54260, 16803, 4, 3523, 98071, 2882, 6, 159696, 15388, 21776, 2050, 37826, 7369, 6235, 236376, 27, 2181, 1470, 98071, 4852, 25491, 39340, 874, 98071, 57277, 2865, 39083, 3069, 31467, 2442, 7682, 67826, 49597, 1644, 6235, 119718, 29766, 1211, 1470, 98071, 1211, 364, 75230, 4852, 4, 123736, 148346, 6093, 6, 64260, 6, 238144, 13497, 163139, 35189, 35189, 115556, 42572, 33809, 1211, 620, 29771, 6293, 5, 9424, 98071, 119055, 39083, 2882, 7369, 1470, 98071, 2050, 207748, 2882, 3523, 98071, 2882, 6, 148346, 93704, 23173, 159212, 42572, 26612, 5, 76776, 83182, 159696, 38249, 2205, 6, 148346, 23173, 33809, 98071, 38249, 32, 36324, 4838, 115556, 6, 238144, 13497, 42572, 33809, 1211, 620, 29771, 6293, 4, 6, 225975, 2882, 18225, 4, 28726, 148346, 2882, 7369, 1470, 98071, 148346, 6093, 6, 148346, 79238, 59929, 67882, 710, 36419, 1751, 159696, 25207, 657, 29259, 35465, 27, 120202, 76776, 61621, 4, 364, 54260, 16803, 2181, 4, 21106, 4113, 3496, 26612, 238144, 2442, 98071, 2050, 6, 23173, 148346, 4113, 1982, 212484, 4113, 4, 4838, 148346, 98071, 9934, 98071, 4667, 4838, 79981, 3069, 31467, 7508, 174121, 159696, 1211, 32, 4151, 118473, 506, 64260, 1470, 98071, 2050, 132025, 8903, 13982, 54260, 2882, 41764, 33809, 185226, 1470, 98071, 8300, 16932, 9424, 6, 186145, 152656, 9934, 98071, 4667, 874, 98071, 2882, 7508, 40096, 59461, 1211, 38, 5, 5, 159696, 2442, 6, 238144, 16803, 4, 199145, 2181, 193178, 6428, 99766, 1470, 98071, 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 ]

[ 148346, 2442, 33809, 7511, 49597, 1211, 18133, 224220, 710, 33809, 7511, 49597, 119364, 32, 7369, 37826, 113889, 4667, 42572, 33809, 1211, 220224, 6319, 29259, 1211, 4231, 16870, 98071, 4113, 3523, 98071, 2882, 6235, 506, 40096, 27, 1470, 33809, 1211, 1470, 98071, 8300, 16932, 4151, 87311, 13497, 7369, 9934, 98071, 4667, 12, 119718, 98071, 36324, 75230, 42542, 7369, 151614, 148346, 1211, 42572, 33809, 1211, 220224, 4838, 6, 63188, 98071, 4113, 4, 1470, 75230, 148346, 7369, 37826, 220224, 6319, 54260, 1211, 4838, 13982, 13159, 7511, 49597, 2882, 3069, 31467, 8903, 3131, 98071, 20911, 32, 6, 101328, 4, 6, 148346, 98071, 104238, 37826, 7369, 220224, 125523, 3069, 31467, 8903, 225975, 2882, 21422, 3523, 98071, 38249, 27, 2808, 98071, 1211, 7508, 98071, 1982, 4852, 7511, 49597, 26394, 2702, 364, 21106, 148346, 100863, 29771, 36909, 16747, 98071, 38249, 4, 364, 21106, 148346, 119718, 26612, 1982, 50856, 98071, 38249, 6319, 137377, 151614, 148346, 1211, 9934, 98071, 4667, 6235, 22426, 1644, 171433, 16932, 2882, 206105, 186046, 21106, 109316, 6235, 94741, 20260, 12483, 1644, 98071, 7511, 49597, 13159, 18583, 6, 75322, 39083, 4, 1470, 33809, 1211, 6319, 29259, 1211, 4484, 75230, 4113, 4667, 3069, 31467, 6, 148346, 26612, 506, 6093, 81829, 220224, 37826, 7369, 3523, 98071, 2882, 6235, 506, 40096, 5, 7369, 37826, 9934, 98071, 4667, 23050, 36909, 98071, 21295, 36324, 75230, 4, 119718, 98071, 206105, 6, 148346, 165592, 33809, 83182, 4113, 115374, 4, 84475, 4, 7508, 98071, 40920, 98071, 75290, 6235, 4852, 171433, 2050, 4, 874, 48904, 98071, 119132, 4, 119718, 39083, 28320, 1470, 98071, 2050, 1470, 98071, 1211, 1470, 54260, 1211, 9424, 29259, 2882, 42572, 33809, 1211, 6, 148346, 165592, 33809, 83182, 4113, 9934, 29259, 28320, 1470, 98071, 1211, 6319, 137377, 6, 23173, 29259, 5666, 236376, 1211, 4, 2808, 33809, 1211, 76961, 51723, 37826, 7369, 220224, 1470, 98071, 1211, 1470, 54260, 1211, 9424, 29259, 2882, 6235, 2882, 33809, 4852, 2050, 6150, 36909, 101470, 874, 98071, 2882, 153585, 1470, 54260, 5666, 54260, 5666, 5, 10918, 49597, 38249, 874, 5, 2648, 98071, 38249, 1470, 33809, 1211, 6319, 21106, 17645, 8903, 119718, 29766, 65482, 2050, 6319, 137377, 71577, 23173, 40096, 27, 1470, 33809, 1211, 874, 98071, 57277, 18279, 171433, 69801, 2882, 9934, 98071, 4667, 1470, 98071, 2050, 4838, 159696, 4484, 18583, 1285, 49597, 1470, 75230, 15388, 119055, 29766, 29771, 113889, 119718, 4, 874, 98071, 2882, 4838, 874, 98071, 23269, 42572, 33809, 1211, 4838, 24621, 36909, 98071, 2702, 97634, 36909, 13845, 4, 199145, 1285, 49597, 66168, 64659, 1211, 37826, 1470, 98071, 2050, 133190, 6319, 54260, 5666, 2865, 39083, 3523, 98071, 2882, 6235, 104149, 215031, 4, 2442, 29060, 7369, 1470, 98071, 2050, 6, 23173, 29259, 1211, 193042, 24621, 1470, 98071, 1211, 874, 75230, 1644, 12, 137, 159696, 16803, 18583, 25616, 98071, 12984, 4, 119055, 33809, 18225, 6, 94741, 63020, 7511, 49597, 2882, 4, 6235, 20315, 20260, 874, 29259, 1211, 119055, 99766, 4, 119055, 119273, 18583, 25616, 98071, 12984, 27, 3496, 26612, 4944, 26612, 4944, 26612, 38, 5, 5, 3496, 29771, 4944, 29771, 4944, 29771, 38, 5, 5, 155, 119718, 29766, 29771, 113889, 119718, 292, 6, 212484, 153585, 119055, 29766, 29771, 113889, 119718, 5, 1285, 49597, 66168, 64659, 1211, 21776, 48904, 98071, 69452, 1751 ]

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

[ 75230, 1211, 3523, 98071, 2882, 28415, 12, 101328, 4852, 6319, 33809, 51723, 119055, 6093, 2181, 163139, 49597, 1644, 292, 1470, 98071, 2050, 1470, 98071, 4852, 6, 21106, 8300, 54260, 16667, 27, 2451, 3496, 26612, 4944, 26612, 4944, 26612, 38, 191795, 4944, 29771, 4944, 29771, 38, 2808, 33809, 1211, 4838, 6, 61397, 75230, 3131, 215031, 6, 23173, 33809, 2050, 12, 37922, 98071, 89930, 6, 71804, 40920, 1285, 49597, 14857, 98071, 64213, 193042, 24621, 1470, 98071, 148346, 53414, 4484, 137377, 5, 5, 199145, 6319, 33809, 1982, 2050, 81444, 207748, 32, 2451, 1470, 33809, 36909, 13497, 54260, 1211, 4, 42572, 75230, 7972, 92605, 13159, 4, 9213, 36909, 13497, 54260, 1211, 38, 1662, 2451, 4838, 3523, 29259, 6093, 166464, 6319, 33809, 63532, 6, 68558, 4, 1470, 33809, 1211, 6428, 33809, 620, 29771, 36909, 16803, 36324, 75230, 7508, 33809, 98071, 4484, 4, 292, 37826, 9213, 30750, 2865, 98071, 89930, 220273, 7511, 49597, 2882, 1470, 54260, 55546, 6235, 2882, 33809, 24152, 29060, 1470, 98071, 1211, 9934, 29259, 2882, 6, 23173, 29259, 1211, 12, 292, 148932, 18583, 31249, 29771, 36909, 114436, 8248, 31467, 1211, 2808, 33809, 36909, 240863, 119055, 29060, 9934, 98071, 4667, 28415, 6319, 54260, 5666, 2865, 39083, 3523, 98071, 2882, 1470, 33809, 74813, 53414, 27, 2648, 98071, 14857, 98071, 8580, 37826, 1470, 33809, 36909, 8903, 4113, 36909, 13497, 1285, 49597, 1470, 75230, 15388, 12, 119055, 6093, 9934, 29766, 98833, 9934, 98071, 4667, 48494, 203232, 81444, 4, 1470, 33809, 13497, 6093, 35189, 657, 98071, 7511, 49597, 4113, 42572, 33809, 1211, 17190, 148346, 1211, 4, 6, 159696, 15388, 6, 17645, 35465, 18583, 31249, 29771, 36909, 65482, 2050, 8248, 31467, 1211, 2808, 33809, 13497, 6093, 240863, 32, 2451, 3496, 26612, 159696, 2442, 4, 4269, 98071, 148346, 4838, 6293, 4838, 1751, 23269, 22426, 35044, 4, 17190, 88660, 159696, 2442, 7508, 6093, 3373, 29771, 10918, 49597, 21106, 6093, 21776, 119718, 39083, 33809, 10918, 49597, 4113, 27, 2648, 98071, 14857, 98071, 8580, 37826, 9934, 98071, 4667, 42572, 33809, 1211, 4151, 6, 76776, 40920, 220273, 7511, 49597, 2882, 1470, 75230, 2702, 61397, 33809, 2882, 4, 4151, 6, 88660, 148346, 238144, 2882, 98071, 4484, 37826, 1470, 98071, 2050, 3523, 98071, 2882, 120202, 8903, 212484, 2882, 5, 123736, 148346, 6093, 199145, 4269, 98071, 104238, 37826, 7369, 6235, 119718, 39083, 2882, 204403, 16932, 119055, 53414, 42572, 33809, 1211, 10676, 1470, 33809, 2865, 8903, 238144, 13497, 28726, 12984, 16175, 33809, 17017, 81444, 4, 1470, 33809, 1211, 81444, 4, 163139, 49597, 17190, 506, 26612, 1982, 98071, 2702, 4, 151614, 148346, 1211, 1470, 98071, 2050, 76961, 34076, 98071, 35189, 6235, 10918, 49597, 16932, 2882, 4, 36324, 75230, 163139, 49597, 1470, 98071, 1211, 42572, 98071, 148346, 6093, 4, 1470, 33809, 1211, 6, 150839, 64260, 36324, 75230, 3523, 98071, 4667, 3523, 98071, 2050, 241997, 6235, 36909, 98071, 49008, 1285, 49597, 3523, 75230, 2882, 98071, 39340, 6, 148346, 113889, 2648, 98071, 2050, 12, 7369, 6, 94741, 63020, 1470, 54260, 1211, 170355, 4667, 4, 46050, 49597, 40920, 1470, 98071, 2050, 1470, 33809, 13497, 6093, 4151, 364, 84577, 6, 47351, 4838, 83182, 6, 170355, 4667, 27, 1470, 33809, 1211, 199145, 1751, 75230, 35189, 96256, 98071, 2050, 36324, 75230, 4151, 4269, 48904, 89930, 6, 75290, 149364 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 6093, 29659, 119055, 12483, 1285, 49597, 14857, 98071, 1211, 1470, 98071, 4852, 6, 23173, 137377, 6, 23173, 7508, 6093, 4269, 59929, 4, 37826, 7369, 6, 128750, 54260, 6093, 120202, 5666, 21660, 75230, 15388, 10676, 123736, 105439, 12, 199145, 6319, 33809, 112907, 207748, 874, 98071, 2882, 1470, 98071, 2050, 32, 1470, 33809, 1211, 34076, 40096, 1470, 98071, 1211, 4151, 6, 159696, 21295, 23173, 29259, 1211, 37826, 7369, 9934, 98071, 4667, 4838, 159696, 4484, 23269, 212484, 2882, 3523, 54260, 1211, 1470, 98071, 1211, 6428, 12, 6, 119859, 46053, 6, 23173, 29259, 1211, 5, 125523, 4151, 41764, 29259, 5, 7511, 49597, 4484, 44779, 18583, 148346, 48775, 4944, 16932, 6, 76776, 40920, 1470, 98071, 4852, 1470, 98071, 2050, 132025, 8903, 119132, 6235, 159696, 1211, 1285, 49597, 163139, 107581, 6, 128750, 98071, 5666, 5, 4484, 29259, 2882, 42572, 33809, 1211, 4151, 657, 33809, 159212, 1470, 33809, 1211, 7508, 6093, 48277, 48904, 4944, 39083, 98071, 5666, 119718, 23173, 63593, 141943, 98071, 75290, 3523, 98071, 46685, 42572, 33809, 1211, 35189, 8248, 31467, 1211, 5, 7508, 6093, 364, 98071, 17017, 1470, 98071, 4852, 125523, 6, 21106, 7611, 6235, 159696, 1211, 18583, 119718, 39083, 4484, 13497, 4, 41764, 33809, 185226, 163139, 49597, 3523, 91595, 1211, 2808, 98071, 113889, 119718, 13497, 4, 123736, 148346, 6093, 6319, 29259, 1211, 21776, 15388, 1470, 98071, 4852, 3523, 98071, 2882, 6235, 240863, 12483, 4, 8947, 1470, 98071, 4852, 6235, 159696, 1211, 67826, 49597, 1644, 1470, 33809, 1211, 119718, 23173, 46598, 4, 1470, 33809, 1211, 7508, 98071, 66168, 49597, 1211, 1470, 98071, 1211, 153585, 6, 240863, 37826, 6235, 36909, 98071, 21295, 4, 36324, 133190, 1470, 6, 97634, 13159, 1470, 98071, 69855, 120467, 6235, 159696, 1211, 42572, 33809, 1211, 153585, 1285, 49597, 59461, 6, 59461, 119718, 1211, 2702, 98071, 80885, 2050, 4, 199145, 37826, 1470, 98071, 2050, 1470, 98071, 1211, 36324, 13845, 107581, 54260, 905, 23173, 26394, 18583, 148346, 1211, 4838, 79981, 1470, 75230, 2702, 8903, 87311, 21295, 1470, 98071, 1211, 7508, 6093, 1751, 159696, 2442, 6093, 6, 76776, 40920, 292, 3523, 54260, 1211, 5666, 54260, 1211, 4, 29771, 1982, 1470, 98071, 4852, 7369, 4, 1470, 33809, 1211, 6, 64260, 1470, 98071, 4852, 6428, 12, 8248, 31467, 1211, 4, 1470, 33809, 1211, 6, 64260, 1470, 98071, 4852, 1285, 49597, 6, 159696, 21295, 1285, 49597, 6, 148346, 48904, 29259, 18415, 4, 119055, 29771, 1982, 5, 2808, 98071, 148346, 6093, 119718, 98071, 16747, 16747, 98071, 4484, 36324, 75230, 36909, 98071, 1644, 657, 29259, 2648, 1470, 33809, 1211, 41764, 29259, 1211, 4, 3523, 54260, 2882, 9934, 98071, 874, 98071, 2882, 364, 59929, 2882, 98071, 39340, 81414, 49597, 2882, 21422, 26612, 3523, 29259, 46598, 17190, 148346, 1211, 4, 199145, 874, 33809, 4852, 6319, 33809, 51723, 4, 199145, 7369, 364, 77188, 1751, 75230, 1211, 36324, 75230, 6, 148346, 26612, 3131, 29259, 2865, 149364, 44779, 194885, 81414, 49597, 2882, 27, 1470, 33809, 1211, 95455, 4269, 48904, 26394, 6, 76776, 40920, 147713, 150839, 75230, 4852, 874, 98071, 2882, 76961, 194885, 6, 148346, 26612, 5, 4852, 98071, 89930, 1470, 98071, 4852, 81444, 4667, 1470, 98071, 50856, 123073, 195164, 1211, 3523, 98071, 2882, 28415, 4, 163139, 49597, 4838, 158628, 19302, 54260, 1211, 6, 148346, 1644, 64260 ]

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

[ 6093, 26612, 4667, 4838, 6, 75290, 149364, 42572, 33809, 1211, 4838, 6, 212394, 4, 199145, 1470, 98071, 4852, 133190, 199145, 1470, 33809, 36909, 23269, 3131, 57277, 49008, 42572, 33809, 1211, 215031, 3131, 159696, 2442, 6093, 6319, 48775, 20260, 29259, 2050, 4, 1470, 33809, 1211, 199145, 18583, 4838, 6, 148346, 93704, 29259, 2882, 33809, 23405, 42542, 7369, 151614, 148346, 1211, 32, 123736, 96256, 98071, 56169, 292, 6, 148346, 40096, 29771, 2932, 1470, 33809, 1211, 6, 148346, 26612, 4151, 3523, 29259, 1211, 42572, 33809, 1211, 4151, 8248, 31467, 1211, 4, 6, 238144, 16803, 7369, 1285, 49597, 14857, 8580, 220273, 8903, 5666, 75230, 4, 292, 123736, 148346, 6093, 6428, 12, 1470, 98071, 148346, 139365, 165592, 6093, 33809, 23405, 42572, 33809, 1211, 36324, 13845, 107581, 3523, 91595, 4, 874, 98071, 2882, 1285, 49597, 6319, 137377, 5, 3131, 119718, 98071, 47526, 76632, 49597, 81829, 42572, 33809, 1211, 364, 33809, 23405, 6093, 98071, 38249, 19532, 33809, 27105, 12415, 12483, 9934, 98071, 4667, 6, 148346, 26612, 4151, 6, 148346, 98071, 68959, 36326, 292, 3523, 54260, 1211, 4, 2648, 120467, 42542, 7369, 3523, 98071, 2882, 28415, 5, 13159, 37826, 9934, 98071, 4667, 1470, 98071, 2050, 132025, 8903, 226112, 152656, 4838, 6, 148346, 135118, 1644, 4838, 6293, 4838, 6, 148346, 33809, 1644, 119718, 23173, 1470, 33809, 1211, 7369, 37826, 4852, 98071, 4667, 120202, 8903, 39293, 56169, 5, 6, 236376, 1211, 37826, 7369, 1751, 75230, 1211, 28415, 6, 159696, 15388, 6319, 54260, 1211, 6, 170355, 4667, 3523, 98071, 2882, 6235, 119718, 39083, 2882, 5, 6093, 37826, 9934, 98071, 4667, 6235, 119718, 39083, 2882, 133190, 120202, 2442, 33809, 12483, 5, 6319, 16870, 54260, 7369, 170479, 7508, 98071, 40920, 98071, 4484, 51678, 123736, 101470, 20315, 2050, 6, 141943, 2932, 98071, 21295, 98071, 38249, 6, 148346, 26612, 31249, 33809, 2702, 1470, 98071, 148346, 6093, 7508, 6093, 42572, 48775, 23269, 4, 199145, 37826, 1470, 98071, 2050, 6235, 22426, 29259, 7511, 49597, 20911, 5, 1837, 506, 64260, 7369, 23050, 1982, 22151, 2882, 120202, 23822, 29259, 148346, 1211, 42572, 33809, 1211, 9934, 98071, 4667, 76961, 9934, 29259, 2882, 98071, 39340, 163139, 49597, 24152, 33809, 183216, 1470, 33809, 1211, 36324, 75230, 61397, 33809, 36909, 65482, 67826, 49597, 2865, 33809, 183216, 5, 4838, 152656, 55242, 1644, 148346, 1211, 6, 148346, 135118, 1644, 1470, 98071, 4852, 6235, 39293, 46053, 1470, 54260, 59461, 4838, 115556, 4, 29766, 46598, 23050, 21733, 54260, 20315, 2050, 4, 1470, 98071, 1211, 6, 148346, 2442, 98071, 67873, 4, 4838, 1470, 98071, 13497, 13845, 98071, 2932, 35596, 4, 119055, 29259, 4852, 2882, 1470, 75230, 2702, 4, 1470, 33809, 1211, 23050, 148346, 1211, 2808, 98071, 2050, 1470, 98071, 4852, 6235, 147713, 1211, 4838, 9424, 29259, 2882, 33809, 23405, 5, 2451, 1285, 49597, 9424, 29259, 2882, 33809, 23405, 42542, 18225, 4838, 6319, 33809, 4484, 160204, 32, 292, 37826, 6235, 128750, 4113, 98833, 1285, 14857, 45631, 5, 88660, 1644, 4852, 212915, 6, 148346, 26612, 1285, 49597, 66168, 49597, 64213, 1470, 98071, 1211, 115222, 3131, 65482, 37826, 9934, 98071, 4667, 125523, 3523, 98071, 2882, 1470, 75230, 2702, 8903, 36909, 98071, 33716, 2648, 120467, 6, 148346, 98071, 17160, 19302, 54260, 5666, 151227, 2050, 4, 1470, 98071, 4852, 6, 17645, 35465, 1470, 98071, 83182 ]

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

[ 128750, 98071, 6, 148346, 26612, 1470, 98071, 2050, 6235, 159696, 1211, 1285, 200795, 23173, 148346, 29060, 292, 6319, 75230, 152656, 4838, 9424, 29259, 2882, 33809, 23405, 4, 1470, 33809, 1211, 874, 98071, 2882, 1470, 98071, 2442, 42572, 147713, 2882, 7369, 4838, 159696, 46985, 29259, 67873, 4838, 6293, 7508, 139365, 98071, 68959, 23269, 5, 6428, 99766, 42572, 147713, 2882, 1470, 98071, 2050, 1751, 75230, 1211, 6, 23173, 33809, 18553, 98071, 214766, 12483, 6, 47351, 1470, 75230, 28726, 2050, 4, 2205, 8947, 42572, 147713, 2882, 9934, 98071, 4667, 171433, 506, 75230, 148346, 1211, 95455, 657, 54260, 171428, 4838, 152656, 6319, 39083, 5, 1751, 75230, 1211, 1285, 49597, 9424, 238144, 18415, 119055, 29771, 4667, 4, 163139, 49597, 7369, 37826, 6319, 29259, 1211, 8300, 29259, 2882, 33809, 183216, 3523, 98071, 2882, 23050, 4484, 75230, 36909, 2050, 4, 1470, 33809, 1211, 7369, 42572, 1644, 35596, 220224, 6, 104149, 1470, 98071, 113889, 119718, 13497, 133190, 1470, 98071, 1211, 19302, 33809, 148346, 5, 68558, 4838, 9424, 29259, 2882, 33809, 23405, 163139, 49597, 42542, 18225, 32, 36324, 75230, 1470, 75230, 4667, 6, 94741, 40920, 9934, 98071, 4667, 1470, 98071, 2050, 4, 36324, 18583, 1285, 49597, 206105, 119055, 29771, 12984, 4, 199145, 7369, 37826, 9934, 98071, 4667, 120202, 59461, 98071, 46053, 42572, 33809, 1211, 4151, 6, 23173, 148346, 29060, 4, 37826, 9934, 98071, 4667, 2808, 98071, 148346, 6093, 8903, 75290, 2882, 7508, 12, 6, 159696, 21295, 4, 1470, 33809, 1211, 7369, 6, 21106, 54260, 1211, 37826, 9934, 98071, 4667, 1470, 75230, 4667, 18583, 4484, 29259, 205131, 1751, 54260, 5, 2648, 98071, 2050, 6, 238144, 12984, 119055, 33809, 506, 98071, 1211, 27, 1285, 49597, 18583, 148346, 98071, 16747, 33809, 183216, 874, 98071, 28320, 115222, 46685, 1644, 4, 3069, 31467, 119055, 13845, 12984, 7369, 37826, 4852, 98071, 4667, 3069, 31467, 23269, 25391, 98071, 148346, 1211, 4, 194885, 1211, 1470, 75230, 4667, 28415, 6093, 207748, 2865, 109316, 4, 6319, 54260, 119132, 215594, 7369, 3523, 98071, 2882, 2205, 4484, 54260, 59461, 215594, 1470, 98071, 2050, 3523, 98071, 2050, 4, 36324, 75230, 163139, 49597, 6, 148346, 4113, 63593, 46598, 7369, 119055, 39083, 2882, 9934, 98071, 4667, 1470, 98071, 23405, 48904, 64213, 6, 23173, 75230, 2702, 8903, 3131, 203749, 1211, 24464, 17190, 148346, 1211, 4, 199145, 1470, 98071, 4852, 4838, 159696, 4484, 42572, 33809, 1211, 1470, 98071, 2050, 7369, 8903, 8580, 132025, 165592, 29259, 2882, 4, 1470, 33809, 1211, 1751, 98071, 12415, 47709, 203232, 22753, 123073, 21776, 15388, 151614, 148346, 1211, 7746, 3523, 98071, 2882, 132025, 8903, 506, 75230, 148346, 1211, 42572, 208048, 83182, 5666, 54260, 1211, 5, 5, 199145, 16175, 75230, 119859, 170355, 17190, 148346, 1211, 32, 1470, 98071, 1211, 4151, 6, 128750, 63593, 35189, 9424, 29259, 2882, 33809, 23405, 37826, 9934, 98071, 4667, 7508, 98071, 66168, 64659, 1211, 3069, 31467, 6093, 29659, 6, 23173, 33809, 36909, 5, 8903, 119718, 29766, 152656, 6, 23173, 7508, 6093, 120202, 2882, 54260, 1644, 33809, 23405, 137, 22426, 23173, 2882, 54260, 28726, 148346, 1211, 2909, 6428, 33809, 2442, 4944, 212484, 16747, 98071, 4484, 18133, 17824, 75230, 36419, 23173, 2882, 98071, 21733, 12483, 874, 98071, 2882, 18133, 97995, 75230, 30750, 1470, 75230, 2702, 98071, 46598, 4, 37826, 7369, 9934, 98071, 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 ]

[ 3069, 31467, 6093, 29659, 4838, 6, 75290, 6235, 97634, 1211, 8300, 33809, 1285, 49597, 19302, 71512, 3523, 64260, 98071, 64213, 4, 199145, 6319, 33809, 51723, 1285, 49597, 2442, 87442, 42572, 33809, 1211, 1285, 49597, 1470, 33809, 194734, 164863, 63593, 33809, 183216, 4, 1470, 33809, 1211, 36909, 1644, 98071, 20260, 151614, 148346, 1211, 9934, 98071, 4667, 194885, 1470, 54260, 15388, 6235, 226112, 15388, 42572, 33809, 1211, 1470, 54260, 1211, 3523, 64260, 98071, 8580, 3069, 31467, 4151, 221895, 2442, 12, 37271, 36909, 33809, 1211, 6, 148346, 23173, 98071, 40920, 42572, 33809, 1211, 73095, 25616, 29060, 23173, 42572, 33809, 1211, 115222, 46685, 1644, 1470, 98071, 4852, 19302, 29766, 6235, 119718, 29766, 1211, 4, 36324, 1285, 49597, 2648, 98071, 2702, 10918, 49597, 22426, 1644, 98071, 1211, 1470, 98071, 1211, 115222, 46685, 1644, 1470, 98071, 4852, 120202, 23269, 3131, 119718, 26612, 40920, 4, 1285, 49597, 564, 98071, 2882, 100863, 98071, 35189, 6, 148346, 165592, 33809, 12984, 620, 91595, 2648, 98071, 18583, 235210, 1644, 33809, 5666, 49008, 69872, 137, 2808, 98071, 1211, 1285, 49597, 54745, 148346, 75322, 1211, 1470, 98071, 148346, 53414, 6, 148346, 23173, 98071, 40920, 42572, 33809, 1211, 73095, 25616, 29060, 23173, 36909, 33809, 1211, 115222, 46685, 1644, 42572, 33809, 1211, 6, 159696, 148346, 6093, 26394, 4667, 151614, 148346, 1211, 1285, 49597, 3496, 26612, 238144, 2442, 98071, 2050, 132025, 8903, 119718, 98071, 56880, 4, 36324, 1285, 49597, 6, 148346, 710, 33809, 90848, 2808, 98071, 4852, 3069, 31467, 1751, 119718, 26612, 4667, 18583, 148346, 33809, 16747, 1211, 874, 98071, 28320, 224220, 710, 33809, 5666, 4, 9934, 12, 6, 23173, 148346, 29060, 3523, 98071, 2882, 9424, 119718, 98071, 81829, 1285, 49597, 6, 128750, 75230, 12483, 4, 3069, 31467, 238144, 7511, 49597, 4484, 42572, 98071, 33716, 9934, 98071, 6, 68558, 874, 98071, 2882, 1285, 49597, 6, 26394, 4667, 20315, 147713, 40096, 1211, 69872, 137, 13159, 119055, 53414, 3523, 98071, 2882, 6, 148346, 21106, 75230, 40920, 1211, 15529, 42572, 48775, 49209, 42572, 33809, 1211, 6, 88660, 137377, 6093, 26612, 10918, 49597, 4113, 27, 2451, 2181, 42572, 13845, 2882, 117902, 23269, 2882, 46711, 6093, 292, 37826, 4838, 6, 236376, 6235, 97634, 1211, 1285, 49597, 1982, 54260, 98071, 7611, 5, 2205, 36909, 1644, 98071, 20260, 37826, 7369, 9934, 98071, 4667, 6, 23173, 98071, 148346, 6093, 8903, 119718, 29766, 152656, 4838, 6293, 4151, 38087, 54260, 23269, 2702, 2648, 98071, 75290, 120202, 2882, 54260, 1644, 33809, 23405, 2808, 98071, 1211, 4151, 9424, 29259, 2882, 33809, 23405, 292, 4838, 6293, 10676, 137, 23173, 148346, 4113, 16932, 28726, 148346, 1211, 2909, 1470, 33809, 1211, 163139, 49597, 35189, 16175, 48904, 64213, 1470, 33809, 2050, 4852, 29259, 23269, 1470, 75230, 15388, 1470, 98071, 148346, 6093, 1285, 49597, 19302, 54260, 23269, 3523, 33809, 25207, 44779, 12, 137, 2808, 33809, 16747, 168155, 6, 170355, 119718, 142429, 1470, 98071, 4852, 42572, 33809, 1211, 153585, 36909, 23173, 1982, 29766, 4113, 119718, 33809, 23405, 6, 141943, 44779, 1470, 33809, 36909, 5666, 35596, 48904, 12483, 16175, 4944, 98071, 13159, 75322, 54260, 2702, 98071, 2050, 5, 2181, 37826, 6235, 3111, 31467, 51723, 506, 75322, 53414, 4151, 42572, 33809, 36909, 10918, 49597, 4484, 22426, 33809, 2648, 98071, 75290, 364, 75322, 6093, 27, 28415, 3523, 98071, 2882 ]

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

[ 1470, 54260, 1211, 6, 170355, 4667, 12, 1285, 49597, 19302, 33809, 148346, 5, 23173, 148346, 29060, 1470, 98071, 1211, 3523, 98071, 2882, 6, 48340, 48904, 98071, 4852, 98071, 33716, 69872, 4838, 9424, 238144, 18415, 3523, 64260, 98071, 8580, 12, 137, 35189, 27702, 159696, 2442, 55242, 36909, 6093, 5, 212915, 37826, 132025, 8903, 119718, 98071, 56880, 4, 36324, 6319, 29259, 1211, 6, 23173, 148346, 29060, 9424, 119718, 98071, 81829, 6428, 12, 6, 128750, 75230, 12483, 37826, 9934, 98071, 4667, 3523, 98071, 2882, 5, 418, 8903, 36909, 54196, 4, 1285, 49597, 6, 26394, 4667, 20315, 147713, 40096, 1211, 37826, 6319, 54260, 59461, 3523, 98071, 2882, 1470, 98071, 5666, 34575, 33809, 20911, 98071, 33716, 4, 1751, 119718, 26612, 4667, 159696, 33716, 6235, 36909, 98071, 33716, 1285, 49597, 6, 23173, 148346, 29060, 42572, 33809, 1211, 657, 98071, 4484, 119718, 98071, 2648, 98071, 61621, 69872, 3523, 33809, 6, 101328, 4, 8947, 42572, 13845, 1211, 16175, 33809, 6093, 27, 4838, 4667, 4, 119718, 98071, 220224, 42572, 13845, 1211, 27, 1470, 33809, 1211, 1285, 49597, 14857, 98071, 64213, 37826, 36324, 3131, 10676, 123736, 105439, 18583, 4944, 71577, 2882, 42572, 33809, 1211, 10676, 8903, 94741, 20260, 4, 41764, 33809, 185226, 163139, 49597, 1470, 98071, 5666, 54260, 119132, 874, 98071, 2882, 1285, 49597, 16175, 33809, 6093, 4, 119055, 39083, 2882, 1470, 98071, 2050, 162726, 33809, 34709, 33809, 23405, 1470, 75230, 2702, 8903, 36909, 13845, 2882, 1470, 75230, 4667, 657, 33809, 159212, 27, 199145, 17824, 13159, 123073, 67882, 46053, 8947, 119055, 29060, 18583, 4944, 71577, 1211, 1285, 49597, 3523, 29259, 4113, 148346, 75230, 33809, 23405, 4, 6, 21106, 7611, 17824, 13159, 6093, 119055, 29060, 153585, 4151, 364, 33809, 23405, 6093, 125523, 16175, 33809, 6093, 2451, 10918, 49597, 54745, 1211, 37826, 2181, 2648, 98071, 14857, 98071, 7611, 3523, 98071, 2882, 6235, 119718, 33809, 16803, 32, 1470, 33809, 1211, 7369, 4, 7508, 98071, 14857, 98071, 7611, 4, 29434, 54260, 2882, 9934, 98071, 4667, 81444, 6, 23173, 33809, 2050, 1470, 98071, 148346, 6093, 1285, 49597, 119859, 46053, 1470, 98071, 23405, 48904, 64213, 6, 68558, 6, 23173, 148346, 29060, 4, 1470, 33809, 1211, 41764, 33809, 185226, 163139, 49597, 47833, 1470, 98071, 148346, 6093, 98071, 75290, 2451, 119718, 120467, 18583, 26612, 18583, 148346, 1644, 141943, 76632, 49597, 3131, 38, 1470, 98071, 4852, 95455, 3523, 98071, 2882, 6319, 29259, 1211, 874, 79907, 23269, 119718, 98071, 1644, 20315, 6, 170355, 4667, 42572, 33809, 1211, 153585, 9934, 29259, 2882, 32, 2808, 33809, 1211, 1470, 98071, 1211, 6, 113889, 51723, 42572, 33809, 1211, 119055, 46646, 32, 2451, 2808, 98071, 4852, 54745, 1211, 1470, 98071, 8300, 16932, 4838, 9424, 29259, 2882, 18583, 3373, 84577, 98071, 96302, 1211, 32, 4113, 36909, 16932, 1470, 98071, 4852, 220273, 6, 148346, 4113, 101328, 94741, 98071, 2050, 1470, 98071, 8300, 16932, 120202, 225975, 1211, 9934, 98071, 4667, 42572, 33809, 1211, 6, 23173, 148346, 29060, 125523, 6, 48904, 25207, 101608, 6093, 18583, 148346, 25207, 12984, 32, 3523, 54260, 1211, 38, 2451, 506, 64260, 7369, 9934, 98071, 4667, 874, 98071, 57277, 2865, 39083, 364, 59929, 2882, 98071, 4484, 6235, 8903, 148346, 1211, 26612, 43649, 13845, 1470, 33809, 6293, 32, 2451, 3496, 26612, 159696, 2442, 4, 4151, 1644, 75230, 148346 ]

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

[ 2882, 1470, 29259, 4667, 1470, 33809, 69708, 33809, 75290, 1211, 1285, 49597, 9424, 29259, 2882, 33809, 23405, 5, 2808, 33809, 1211, 9915, 13845, 37826, 7369, 4838, 159696, 4484, 8903, 3131, 22426, 84577, 874, 98071, 28320, 6, 148346, 33809, 1644, 119718, 23173, 5, 1285, 49597, 14857, 98071, 8580, 1470, 98071, 4852, 23269, 5666, 48904, 49008, 6, 71804, 23405, 4, 1470, 33809, 1211, 199145, 4838, 17824, 13159, 123073, 874, 120467, 6, 2050, 5, 79950, 29259, 2882, 7369, 37826, 6235, 36909, 98071, 21295, 36909, 33809, 1211, 153585, 364, 59929, 2882, 98071, 38249, 6, 240863, 4, 6, 21106, 7611, 28415, 6093, 1470, 98071, 4852, 7369, 6235, 4484, 33809, 51723, 3069, 31467, 9934, 98071, 4667, 1470, 33809, 1211, 6, 21106, 7611, 29659, 29259, 36909, 6093, 1470, 98071, 4852, 7369, 6235, 119718, 29766, 1211, 5, 1470, 54260, 105405, 44779, 4, 1470, 98071, 4852, 7369, 1751, 75230, 1211, 6319, 98071, 2865, 40096, 1470, 98071, 23405, 48904, 64213, 8903, 159696, 1211, 1470, 98071, 1211, 34076, 29259, 4944, 8903, 119718, 98071, 40920, 4838, 6235, 4484, 33809, 2865, 114436, 4, 3496, 64260, 3131, 7369, 37826, 125523, 6, 21106, 54260, 1211, 6235, 5666, 75230, 7511, 49597, 2882, 6235, 119718, 33809, 16803, 4, 36324, 95455, 235466, 9934, 98071, 4667, 4151, 36909, 33809, 1211, 4, 199145, 153585, 4269, 48904, 89930, 6, 129071, 98071, 159696, 207650, 506, 24244, 37826, 220273, 6, 68558, 153585, 163139, 49597, 46053, 10676, 6, 148346, 26612, 31249, 33809, 2702, 1751, 75230, 1211, 132025, 8903, 3111, 31467, 51723, 5, 123736, 148346, 6093, 874, 98071, 2882, 4852, 29259, 1211, 6, 148346, 26612, 119718, 33809, 16803, 4852, 29259, 1211, 37826, 1751, 75230, 1211, 1285, 14857, 98071, 7611, 6235, 36909, 98071, 21295, 4, 36324, 6319, 75230, 2050, 1470, 98071, 4852, 4151, 6, 148346, 26612, 31249, 33809, 2702, 171433, 8903, 3111, 31467, 51723, 6235, 119718, 29766, 1211, 4, 1470, 98071, 4852, 18583, 36909, 21106, 1211, 12, 18583, 6, 84577, 39340, 15388, 6, 128540, 9934, 98071, 4667, 1470, 98071, 4852, 1751, 75230, 1211, 2648, 29771, 6319, 29259, 1211, 6, 99766, 3523, 98071, 2882, 6235, 148346, 1644, 98071, 148346, 1211, 5, 37826, 7369, 9934, 98071, 4667, 132025, 8903, 3111, 31467, 51723, 874, 98071, 2882, 6, 84577, 31249, 120467, 114436, 2442, 33809, 98071, 4484, 29259, 2882, 4, 1470, 33809, 1211, 4, 163139, 49597, 1470, 115556, 4838, 6, 80453, 129071, 98071, 86733, 1470, 33809, 1211, 4838, 192183, 25616, 4113, 16932, 4, 1470, 98071, 4852, 7369, 119718, 29259, 16932, 6235, 240863, 12483, 1470, 98071, 1211, 10676, 6, 159696, 2932, 4, 119055, 33809, 506, 98071, 1211, 1285, 49597, 42572, 98071, 2702, 151614, 148346, 1211, 1470, 98071, 2050, 6, 128750, 98071, 6093, 6, 21106, 54260, 1211, 8903, 226112, 15388, 4, 657, 75230, 28320, 4838, 13982, 13159, 4, 199145, 1470, 98071, 4852, 6235, 159696, 1211, 132025, 8903, 119718, 98071, 56880, 1470, 98071, 1211, 7508, 40096, 59461, 2702, 9424, 29060, 109316, 5, 6, 101328, 4, 10676, 6, 159696, 2932, 874, 33809, 4852, 7369, 6428, 33809, 2442, 4944, 2932, 54260, 1211, 4, 1470, 33809, 1211, 4838, 83182, 3131, 42542, 1751, 75230, 1211, 81444, 3523, 98071, 2882, 4852, 29259, 1211, 4, 1470, 33809, 1211, 6319, 75230, 2050, 1470, 98071, 4852, 95455, 4838, 6, 148346, 26612, 31249, 120467, 65482 ]

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

[ 6, 170355, 4667, 4, 1470, 98071, 4852, 199145, 1470, 98071, 4852, 81444, 1470, 98071, 148346, 6093, 98071, 4484, 8300, 33809, 46050, 49597, 51723, 10676, 117902, 7511, 49597, 2050, 874, 98071, 28320, 6235, 119718, 98071, 46053, 32, 193178, 1470, 98071, 148346, 6093, 98071, 39340, 132025, 128540, 1470, 98071, 4852, 2932, 29766, 7511, 49597, 2882, 6235, 147713, 1211, 1470, 98071, 1211, 1285, 49597, 14857, 98071, 26394, 2702, 3523, 40096, 33809, 2442, 5, 7369, 37826, 6, 119859, 129891, 3523, 33809, 2882, 6235, 119718, 33809, 16803, 4, 165592, 7369, 16175, 33809, 2882, 620, 91595, 5, 620, 91595, 1470, 98071, 4852, 3069, 31467, 6, 238144, 29171, 6235, 225975, 2882, 5, 7369, 6, 148346, 26612, 2932, 54260, 2882, 117902, 36326, 57277, 18583, 148346, 25207, 12984, 196991, 9934, 98071, 4667, 1470, 33809, 1211, 196991, 1285, 49597, 76961, 4, 199145, 194885, 1211, 6235, 119718, 29766, 1211, 194885, 4944, 26612, 238144, 2442, 98071, 2050, 4838, 6293, 4151, 6, 148346, 98071, 68959, 36326, 4, 123736, 148346, 6093, 6319, 75230, 2050, 1470, 98071, 4852, 1470, 98071, 2050, 36324, 75230, 6, 148346, 26612, 3131, 77188, 4, 36324, 153585, 159696, 2932, 170479, 190800, 2932, 54260, 1211, 37729, 4838, 3523, 98071, 2702, 29771, 710, 12483, 4, 3523, 54260, 2882, 7369, 1470, 98071, 2050, 2200, 133190, 5, 2200, 1470, 75230, 148346, 6, 101328, 27909, 30741, 54260, 1211, 10676, 6, 159696, 2932, 4, 1470, 98071, 4852, 6, 76776, 69106, 34076, 29259, 4667, 4, 199145, 7369, 37826, 1470, 98071, 2050, 1751, 75230, 1211, 42572, 33809, 5927, 98071, 198093, 5, 64260, 1470, 98071, 4852, 6, 57277, 39340, 1285, 49597, 6235, 148346, 29259, 20315, 42572, 33809, 1211, 4151, 42572, 26612, 148346, 2442, 98071, 4484, 4, 4838, 6293, 1470, 98071, 2442, 1285, 49597, 1751, 98071, 50853, 4, 2200, 123736, 96256, 98071, 4852, 4151, 16175, 75230, 6093, 5, 1470, 33809, 1211, 42572, 33809, 16747, 119273, 159696, 15388, 37826, 1470, 98071, 2050, 4838, 19302, 71577, 6235, 97634, 1211, 1470, 98071, 1211, 364, 23173, 64213, 64260, 95455, 1470, 98071, 4852, 8947, 6, 57277, 39340, 32, 95455, 6, 148346, 1644, 33809, 2882, 1470, 98071, 4852, 162726, 33809, 34709, 33809, 23405, 1470, 98071, 23405, 48904, 64213, 4838, 177282, 29771, 152656, 42572, 33809, 1211, 5442, 874, 5, 16175, 54260, 48253, 5, 159190, 4151, 42572, 26612, 13458, 98071, 4484, 5, 4, 418, 204403, 7511, 49597, 2050, 1470, 33809, 1211, 4, 7369, 37826, 4151, 36909, 98071, 21295, 4, 36324, 7369, 1470, 98071, 4852, 23050, 119718, 29766, 1211, 1751, 57277, 24152, 6, 148346, 1644, 59929, 5, 1470, 33809, 1211, 7511, 2882, 4, 199145, 1470, 98071, 2050, 1470, 98071, 4852, 162726, 33809, 34709, 33809, 23405, 1470, 29259, 5666, 8903, 36909, 21106, 1211, 5, 4838, 6, 128750, 98071, 86733, 6235, 94741, 20260, 1470, 98071, 1211, 6319, 137377, 5, 37271, 36909, 33809, 16747, 119273, 159696, 15388, 2451, 2808, 98071, 4852, 6235, 159696, 1211, 4151, 23050, 48775, 20260, 2451, 2882, 33809, 2882, 7369, 3523, 98071, 2882, 3523, 33809, 2050, 4, 199145, 7369, 5666, 54260, 2882, 207748, 8300, 33809, 101470, 6, 170355, 12984, 1470, 98071, 1211, 17190, 148346, 1211, 1470, 98071, 23405, 48904, 64213, 3523, 98071, 2882, 6319, 29259, 1211, 3523, 65482, 2702, 114436, 27, 4838, 1982, 35596, 3131, 4838, 364, 33809, 23405, 6093, 98071, 75290 ]

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

[ 42542, 6319, 54260, 5666, 2865, 39083, 3523, 98071, 2050, 151614, 148346, 1211, 6319, 29259, 1211, 19302, 29766, 1211, 6319, 137377, 4838, 6293, 1285, 49597, 22426, 1644, 54260, 26394, 2702, 1470, 33809, 1211, 76961, 874, 39083, 42542, 7369, 5332, 109636, 2050, 132025, 22426, 1644, 171433, 16932, 1211, 4, 1470, 98071, 148346, 150839, 75230, 22426, 2882, 4, 119055, 12483, 1285, 49597, 36909, 26612, 148346, 2442, 98071, 4484, 1470, 98071, 4852, 81444, 133190, 4838, 6, 80453, 98071, 119718, 174121, 4, 1470, 33809, 1211, 119055, 6093, 6, 238144, 16803, 4, 199145, 18583, 4838, 10498, 33809, 13159, 1470, 98071, 2050, 165354, 81444, 1470, 75230, 95564, 33809, 51723, 3069, 31467, 42572, 98071, 61621, 27, 6319, 54260, 5666, 2865, 39083, 6, 205416, 18225, 36324, 75230, 3523, 98071, 2882, 160204, 4, 6319, 54260, 5666, 2865, 39083, 7511, 49597, 2882, 27, 1470, 33809, 1211, 120202, 105235, 116604, 98071, 4484, 9934, 98071, 4667, 4838, 119718, 29259, 28726, 4, 6319, 16870, 54260, 6428, 33809, 2442, 4944, 8300, 33809, 236376, 1211, 10676, 23050, 5, 94741, 20260, 6, 148346, 98071, 56880, 151614, 6293, 4, 1470, 98071, 4852, 7369, 4151, 238144, 165607, 3069, 31467, 2442, 98071, 4484, 6235, 4484, 33809, 51723, 3069, 31467, 9934, 98071, 4667, 4, 1470, 33809, 1211, 6319, 33809, 4484, 16747, 98071, 78683, 506, 98071, 1211, 1470, 33809, 1211, 4838, 506, 6093, 4, 36324, 75230, 163139, 4838, 6, 137218, 23269, 119718, 4, 199145, 163139, 49597, 1644, 81444, 5332, 109636, 2050, 120202, 97634, 1211, 4838, 3131, 141943, 192956, 6, 170355, 4667, 1470, 33809, 1211, 7369, 9424, 98071, 16932, 2882, 4, 36324, 6, 238144, 29171, 16803, 16667, 170479, 1211, 1470, 98071, 2050, 6319, 29259, 1211, 6, 148346, 233364, 194734, 41764, 76632, 49597, 46685, 3523, 98071, 2882, 4151, 104149, 4, 1470, 33809, 1211, 6, 236376, 16747, 98071, 4484, 1751, 75230, 1211, 1470, 98071, 23405, 48904, 64213, 14856, 4944, 48904, 98071, 83957, 33809, 1211, 133190, 7511, 49597, 2882, 42572, 98071, 116604, 98071, 4484, 1285, 49597, 6, 148346, 93704, 29259, 2882, 23405, 42572, 33809, 1211, 1285, 49597, 119055, 6093, 16932, 4, 199145, 7369, 37826, 9934, 98071, 4667, 21106, 54260, 1211, 23050, 1982, 165592, 77188, 12, 137, 4484, 54260, 5666, 2865, 39083, 6, 205416, 18225, 36324, 75230, 3523, 98071, 2882, 160204, 4, 6319, 54260, 5666, 2865, 39083, 3523, 98071, 2882, 2004, 506, 64260, 7369, 9934, 98071, 4667, 9915, 13845, 6, 23173, 29259, 5666, 8903, 4944, 71577, 2882, 1470, 98071, 1211, 16175, 75230, 6093, 42572, 33809, 1211, 42572, 26612, 148346, 2442, 98071, 4484, 5, 2648, 29771, 37826, 7369, 9934, 98071, 4667, 120202, 23269, 105235, 21295, 4838, 119718, 29259, 28726, 4, 7369, 37826, 9934, 98071, 4667, 6, 23173, 137377, 23269, 119718, 98071, 29659, 25207, 2050, 1751, 238144, 2702, 42572, 33809, 66293, 43649, 53414, 1470, 33809, 1211, 364, 59929, 2882, 98071, 4484, 37826, 7369, 6, 47351, 5332, 152656, 6235, 97634, 1211, 7508, 98071, 16175, 98071, 2442, 36909, 33809, 1211, 213909, 205416, 2451, 119718, 98071, 1470, 98071, 2050, 37826, 9934, 98071, 4667, 6235, 94741, 40920, 4, 1470, 98071, 23405, 48904, 64213, 4838, 6, 148346, 23173, 33809, 98071, 4484, 16932, 5, 2451, 1285, 49597, 14857, 98071, 7611, 1470, 98071, 4852, 6, 23173, 29259, 1211, 1470, 98071, 1211, 4838, 3523, 29259, 46598, 6, 29060, 71577 ]

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

[ 42572, 33809, 1211, 153585, 17190, 148346, 1211, 5, 6, 128750, 98071, 6093, 1470, 98071, 4852, 8903, 159696, 1211, 5332, 22426, 13159, 4838, 83182, 3131, 5, 4484, 71577, 98071, 21338, 9424, 238144, 5, 148346, 6093, 1644, 1285, 49597, 2050, 3131, 98071, 7611, 37826, 6235, 23173, 148346, 29060, 1470, 98071, 1211, 6, 148346, 2442, 33809, 7511, 49597, 59461, 1470, 33809, 710, 48350, 2648, 5, 1470, 54260, 7511, 21106, 6319, 33809, 2865, 188301, 4838, 506, 54260, 2050, 42572, 33809, 1211, 4838, 6319, 33809, 29025, 6093, 173102, 183512, 98071, 2442, 33809, 23405, 1470, 98071, 148346, 6093, 6428, 12, 43649, 29060, 44779, 2205, 35189, 36909, 6093, 4, 37826, 7369, 6235, 36909, 33809, 49008, 2451, 4852, 29259, 1211, 9424, 98071, 46685, 1470, 98071, 4852, 18583, 105235, 21295, 874, 98071, 2882, 4838, 6, 240863, 5666, 29259, 4113, 14856, 148346, 1644, 5, 1751, 75230, 1211, 37826, 9934, 12, 9934, 98071, 4667, 6, 150349, 48775, 159696, 2882, 2451, 506, 64260, 7369, 874, 98071, 2882, 101251, 171433, 8903, 119132, 28726, 4944, 4484, 29259, 2882, 4838, 6, 236376, 6235, 97634, 1211, 6, 159696, 15388, 6, 90848, 104149, 5, 6, 90848, 104149, 37826, 7369, 1470, 75230, 4667, 6235, 186145, 152656, 2808, 98071, 1211, 9424, 98071, 46685, 5, 1470, 98071, 4852, 6, 57277, 39340, 4269, 33809, 2882, 6235, 159696, 1211, 4, 199145, 7369, 37826, 9934, 98071, 6235, 226112, 152656, 5, 2451, 199145, 1470, 98071, 4852, 95455, 18583, 4838, 22518, 29259, 148346, 2882, 98071, 3131, 32, 2451, 506, 64260, 6235, 128750, 4113, 98833, 1285, 49597, 14857, 98071, 7611, 32, 2451, 95455, 1470, 98071, 4852, 18583, 1285, 49597, 2442, 4838, 22518, 29259, 148346, 2882, 98071, 3131, 2451, 506, 64260, 6, 90848, 39293, 6235, 225975, 2882, 4838, 3069, 31467, 128750, 98071, 2648, 65482, 2451, 2648, 33809, 6319, 172398, 2882, 28415, 3523, 98071, 2882, 9934, 98071, 64213, 6, 148346, 26612, 4838, 16175, 98071, 31249, 874, 98071, 2882, 1470, 75230, 2702, 8903, 148346, 90848, 4944, 65482, 36909, 98071, 2702, 44779, 4, 199145, 2181, 1470, 98071, 4852, 4838, 3496, 23173, 109636, 18583, 4838, 9934, 29259, 2882, 98071, 38249, 14856, 110970, 1211, 5, 36324, 37922, 98071, 89930, 4269, 54260, 2882, 23173, 29259, 1211, 5, 2451, 1470, 33809, 1211, 199145, 6, 148346, 40096, 29259, 28320, 76961, 1470, 98071, 148346, 6093, 98071, 39340, 6, 170355, 12984, 4, 199145, 6428, 33809, 151614, 16803, 6, 98071, 2882, 8903, 4852, 95494, 28726, 159696, 2882, 132025, 8300, 33809, 128540, 36324, 75230, 6235, 2648, 98071, 40920, 1470, 98071, 1211, 1470, 33809, 16747, 168155, 19302, 54260, 119132, 9424, 98071, 46685, 32, 2451, 1470, 33809, 112304, 98071, 16803, 874, 54260, 16667, 2882, 33809, 36324, 75230, 2451, 506, 64260, 6, 90848, 39293, 6235, 80453, 33809, 119718, 2882, 657, 29259, 40920, 6, 148346, 21106, 54260, 2648, 98071, 38249, 4852, 98071, 4667, 2451, 64260, 42542, 1470, 98071, 4667, 1285, 49597, 2442, 1470, 75230, 2702, 25207, 4944, 171428, 4838, 6293, 1285, 49597, 42572, 98071, 23405, 6093, 4, 119055, 119273, 33809, 6, 104149, 4, 36324, 2648, 29771, 1470, 98071, 4852, 6319, 29259, 1211, 1470, 54260, 1211, 1470, 98071, 148346, 6093, 98071, 39340, 6, 170355, 4667, 3523, 98071, 2882, 18583, 17537, 4, 133190, 1285, 49597, 193042, 24621, 3523, 75230, 2882, 98071, 13805, 18415, 170355, 12984, 5950, 38249 ]

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

[ 5, 6, 64260, 6, 148346, 23173, 4113, 12984, 12, 1470, 98071, 4667, 6, 94741, 63020, 151614, 148346, 1211, 4838, 16175, 33809, 21106, 29060, 2882, 98071, 31249, 4, 119055, 33809, 4838, 159696, 4484, 5, 8300, 33809, 1644, 54260, 15388, 874, 29259, 23269, 6, 170355, 12984, 84475, 3523, 98071, 2882, 32, 9934, 171433, 6, 21106, 54260, 1211, 5, 1470, 33809, 1211, 4838, 6319, 33809, 3131, 29060, 39340, 4838, 6293, 3069, 31467, 8300, 33809, 5, 3131, 22426, 23173, 1211, 9934, 98071, 4667, 6, 148346, 40096, 29771, 2932, 6, 94741, 63020, 1470, 98071, 4667, 151614, 148346, 1211, 32, 2451, 4269, 33809, 2882, 4, 6, 90848, 39293, 4, 4269, 33809, 2882, 4, 6428, 33809, 6428, 23173, 36909, 16803, 6, 21106, 7611, 151614, 148346, 1211, 5, 1470, 98071, 4667, 55242, 1751, 75230, 1211, 12, 4838, 46711, 33809, 87311, 3131, 22426, 98071, 21847, 4, 4838, 1751, 48775, 20260, 4, 3523, 98071, 21733, 23269, 6, 148346, 213783, 4, 6, 21106, 7611, 6, 170355, 12984, 4, 199145, 14856, 42542, 6, 68558, 220224, 3523, 98071, 2882, 28726, 148346, 1211, 5, 123736, 148346, 6093, 1470, 98071, 1211, 1470, 33809, 16747, 168155, 9424, 98071, 46685, 6, 159696, 67873, 874, 98071, 2442, 4151, 29659, 98071, 20911, 119055, 53414, 874, 98071, 2882, 220224, 5, 2451, 123736, 2050, 6, 159696, 15388, 10676, 151614, 148346, 1470, 98071, 4667, 6, 57277, 39340, 874, 98071, 2882, 1285, 49597, 2442, 6235, 119718, 39083, 2882, 7508, 54260, 35465, 2451, 2808, 98071, 4852, 8300, 33809, 128750, 98071, 35465, 6235, 159696, 1211, 6, 90848, 39293, 4, 199145, 9934, 98071, 42542, 81444, 1470, 75230, 35044, 54260, 15388, 18583, 1470, 98071, 2050, 1470, 98071, 25207, 162726, 114436, 2451, 119718, 98071, 6, 71804, 23405, 4, 874, 54260, 16667, 2882, 33809, 4, 51678, 874, 98071, 2442, 125523, 119055, 29771, 710, 49008, 6, 64260, 1470, 98071, 1211, 10676, 9424, 98071, 112388, 31467, 26612, 874, 29259, 1211, 6, 57277, 28320, 32, 6428, 33809, 18583, 29659, 54260, 16803, 6, 21106, 54260, 1211, 4, 36324, 874, 98071, 2442, 51678, 81444, 28415, 3523, 98071, 2882, 119718, 29771, 710, 49008, 5, 1470, 98071, 4852, 6319, 39083, 4852, 212915, 874, 98071, 2442, 151614, 148346, 1211, 3523, 98071, 2882, 6235, 506, 40096, 6319, 29259, 1211, 14856, 148346, 1644, 4, 37826, 18225, 3523, 98071, 2882, 8903, 4484, 35596, 6, 236376, 1211, 5, 1470, 98071, 56169, 6428, 23173, 36909, 16803, 33809, 6, 104149, 3069, 31467, 46050, 49597, 15388, 4838, 198754, 4113, 1285, 49597, 25207, 2451, 2648, 33809, 2442, 12984, 2947, 2808, 33809, 88660, 2050, 4, 9424, 98071, 4838, 6293, 6, 47351, 4838, 83182, 1470, 75230, 152656, 5, 4151, 238144, 165607, 42542, 18225, 6, 90848, 4667, 3069, 31467, 1470, 33809, 16747, 4852, 4838, 36909, 98071, 1644, 37016, 54260, 119132, 3523, 98071, 2882, 18583, 148346, 213783, 5, 2451, 3523, 98071, 2882, 4269, 33809, 2882, 4, 6, 90848, 39293, 4, 2451, 506, 64260, 1285, 49597, 14857, 98071, 7611, 74806, 218241, 21295, 874, 98071, 28320, 6319, 137377, 1470, 33809, 1211, 153585, 2808, 75230, 49268, 2442, 98071, 4484, 4838, 152656, 117902, 7511, 49597, 2050, 1470, 98071, 4852, 6235, 159696, 1211, 220224, 6093, 6, 47351, 7369, 16667, 16932, 12, 2451, 8300, 29259, 2882, 7508, 33809, 364, 120467, 57277, 159696, 4484, 8903, 119718, 29766, 152656 ]

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

[ 1285, 49597, 43649, 109316, 4, 8248, 31467, 4944, 16803, 33809, 9934, 98071, 4667, 3069, 31467, 6, 17645, 35465, 874, 39083, 6, 21106, 7611, 3523, 29259, 4113, 1470, 33809, 159212, 33809, 12483, 4, 2648, 98071, 6, 23173, 148346, 29060, 6428, 29259, 23269, 1285, 49597, 1470, 98071, 56169, 98071, 39340, 4, 6, 225975, 1470, 98071, 4667, 1285, 49597, 2442, 4, 1470, 98071, 4852, 3523, 98071, 2882, 6319, 29259, 1211, 6, 94741, 20260, 148346, 23173, 4113, 5, 2442, 33809, 874, 54260, 16667, 2882, 4, 1470, 98071, 4667, 42542, 3523, 54260, 1211, 4838, 6293, 10676, 6, 159696, 2932, 32, 2451, 6, 33809, 7508, 6093, 16803, 4, 163139, 49597, 4838, 6319, 98071, 16747, 2451, 506, 64260, 6235, 225975, 2882, 6, 90848, 39293, 6, 238144, 4667, 4, 123736, 148346, 6093, 1470, 98071, 23405, 48904, 64213, 1470, 98071, 2050, 32887, 119718, 40096, 1644, 67882, 30741, 2648, 98071, 4484, 2451, 119718, 98071, 9934, 36326, 54745, 1211, 170479, 18225, 17190, 148346, 1211, 32, 4269, 98071, 148346, 4, 4838, 35189, 26612, 148346, 4113, 4, 4838, 6319, 33809, 4484, 4, 163139, 49597, 221895, 224220, 33809, 7511, 49597, 119364, 17190, 148346, 1211, 5, 1470, 33809, 1211, 6428, 29259, 1211, 119055, 29766, 29771, 113889, 119718, 1470, 98071, 4852, 54745, 1211, 26612, 364, 54260, 1644, 98071, 75290, 32, 153585, 119055, 29259, 148346, 4269, 54260, 2882, 132025, 8903, 97634, 1211, 1751, 114436, 42572, 33809, 1211, 874, 98071, 2442, 4, 1470, 33809, 1211, 3069, 31467, 220224, 23173, 29259, 57619, 33809, 2932, 54260, 1211, 1470, 98071, 4852, 1470, 54260, 4667, 220224, 6093, 132025, 105235, 16747, 98071, 4484, 5, 1470, 98071, 56169, 1470, 98071, 4852, 1751, 75230, 1211, 215031, 9424, 29259, 2882, 4, 215031, 83182, 3131, 42542, 18225, 3523, 98071, 2882, 5, 2648, 98071, 14857, 98071, 7611, 37826, 3523, 98071, 2882, 6235, 35596, 36909, 77188, 5, 7369, 564, 98071, 2882, 6, 90848, 104149, 194885, 1211, 9424, 238144, 6, 119859, 69106, 36909, 23173, 3131, 54260, 2648, 65482, 115374, 5, 81444, 194885, 1211, 1470, 98071, 2050, 28415, 6319, 54260, 23269, 1470, 98071, 1644, 33809, 4852, 98071, 13159, 3523, 98071, 2882, 6235, 148346, 1644, 98071, 148346, 1211, 5, 2808, 33809, 1211, 81444, 4667, 37826, 95455, 364, 23173, 7611, 6, 61397, 46598, 5332, 22426, 13159, 4838, 83182, 3131, 5, 207748, 2882, 37826, 1470, 98071, 2050, 90848, 39293, 6, 148346, 26612, 506, 6093, 29659, 874, 98071, 2882, 6235, 119718, 98071, 36419, 67882, 15350, 13159, 1470, 98071, 25207, 4, 199145, 7369, 6, 21106, 54260, 1211, 37826, 9934, 98071, 4667, 2808, 98071, 1211, 220224, 3523, 98071, 2882, 6235, 119718, 39083, 2882, 1470, 33809, 1211, 5332, 36909, 59461, 1470, 75230, 4667, 3523, 98071, 2882, 241997, 36324, 75230, 6235, 5666, 75230, 42572, 208048, 83182, 5, 21733, 29259, 148346, 1211, 5, 1470, 98071, 4852, 95455, 6235, 159696, 1211, 1470, 98071, 2442, 3523, 54260, 20260, 29259, 2882, 4, 1470, 98071, 2442, 4231, 33809, 23405, 4484, 29259, 2882, 4, 1470, 98071, 2442, 1470, 98071, 148346, 6093, 8903, 8903, 148346, 1211, 4484, 29259, 2882, 4, 199145, 37826, 1470, 98071, 2050, 6235, 148346, 33809, 16747, 1211, 3069, 31467, 1470, 98071, 2442, 32, 4838, 6293, 1470, 98071, 2442, 43649, 54260, 61397, 1470, 98071, 4852, 6, 90848, 39293, 2808, 98071, 2050, 6235, 159696, 1211, 1751, 57277 ]

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

[ 24152, 1470, 98071, 148346, 6093, 8903, 8903, 148346, 1211, 4, 1470, 33809, 1211, 95455, 4, 199145, 9934, 98071, 37826, 1470, 98071, 2050, 6, 23173, 33809, 2050, 61397, 98071, 23405, 21295, 874, 98071, 2882, 9934, 29766, 5666, 36909, 13845, 2882, 98071, 75290, 364, 54260, 2050, 98071, 38596, 29259, 2882, 4, 1470, 98071, 4852, 220273, 3523, 98071, 2882, 6235, 159696, 1211, 6319, 29259, 1211, 21733, 54260, 29171, 29259, 2882, 35830, 3069, 31467, 6, 148346, 26612, 119718, 98071, 24152, 1211, 4838, 115374, 3523, 98071, 2882, 6319, 29259, 1211, 4231, 33809, 23405, 1211, 3523, 98071, 2882, 1470, 98071, 1211, 4269, 48904, 64213, 4484, 29259, 1211, 6235, 4852, 33809, 198093, 4, 199145, 37826, 4151, 8300, 33809, 42572, 33809, 1211, 1285, 49597, 4231, 33809, 5666, 8903, 6, 101328, 61621, 47833, 6235, 119718, 33809, 16803, 133190, 42572, 33809, 1211, 26612, 1751, 159696, 25207, 6, 76776, 159696, 76776, 2648, 28726, 148346, 1211, 5, 28415, 6093, 38, 6, 148346, 54260, 2050, 4151, 141879, 2442, 224220, 183512, 98071, 2442, 33809, 23405, 37826, 6093, 8248, 4667, 47833, 1470, 98071, 148346, 6093, 98071, 38249, 874, 39083, 1470, 98071, 148346, 6093, 8300, 29259, 98833, 4, 36324, 119055, 12483, 7369, 215594, 9934, 98071, 3523, 98071, 2882, 4, 18583, 23269, 16803, 7369, 6, 68558, 76961, 1470, 98071, 25207, 6, 107581, 49268, 75230, 23269, 2702, 4, 1470, 33809, 1211, 3069, 31467, 2442, 98071, 4484, 9424, 98071, 2882, 1470, 98071, 2050, 3069, 31467, 34482, 6, 92605, 75230, 4113, 4667, 4838, 42572, 13159, 16932, 1470, 33809, 1211, 4838, 9934, 98071, 104238, 6093, 5, 1470, 98071, 83182, 63593, 13159, 1211, 1470, 98071, 4852, 7369, 3069, 31467, 128750, 98071, 35465, 35189, 2865, 98071, 2882, 5, 123736, 148346, 6093, 6, 63188, 12483, 874, 39083, 3523, 33809, 56169, 9934, 98071, 1470, 75230, 2702, 153585, 1751, 119718, 26612, 4944, 4484, 29259, 2882, 3069, 31467, 1470, 98071, 2442, 18583, 10918, 49597, 67873, 4, 199145, 194885, 1211, 1470, 98071, 2050, 42572, 25207, 27105, 1470, 33809, 1211, 4151, 119718, 98071, 35189, 5, 199145, 16175, 75230, 2932, 95455, 32, 95455, 4, 238144, 7511, 49597, 152194, 16667, 4, 42542, 7369, 3523, 98071, 2882, 4151, 212484, 1211, 5, 123736, 148346, 6093, 6, 71804, 23405, 18583, 3131, 80453, 54260, 28320, 9934, 98071, 4667, 6, 159696, 15388, 165592, 13845, 107581, 6, 170355, 12984, 1470, 98071, 4852, 3523, 98071, 2882, 6235, 147713, 1211, 1470, 98071, 1211, 153585, 3523, 40096, 33809, 2442, 5, 7369, 37826, 133190, 4838, 42572, 25207, 2932, 8903, 97634, 1211, 12, 2451, 117578, 13159, 84577, 4, 119055, 33809, 23050, 2865, 16803, 33809, 182731, 4838, 4667, 21776, 2050, 76961, 51723, 32, 710, 1470, 98071, 4667, 6, 119132, 4838, 6293, 1470, 75230, 2702, 8300, 33809, 8300, 39083, 1211, 5, 2451, 119055, 6093, 46711, 75230, 2050, 124724, 32, 2451, 55242, 16803, 6, 90848, 4667, 4, 7508, 29259, 1211, 119055, 29259, 148346, 46711, 75230, 2882, 5332, 12483, 5, 4838, 18583, 84577, 119718, 101503, 28726, 12984, 60980, 203232, 33809, 7511, 49597, 2050, 2882, 46711, 75230, 2050, 18225, 5, 1549, 2451, 119055, 13845, 1470, 98071, 4667, 18583, 6, 21106, 7611, 4, 364, 54260, 16803, 95455, 235311, 9424, 39083, 1211, 32, 3069, 31467, 199145, 6, 94741, 63020, 2808, 98071, 4667, 9934, 98071, 4667, 6, 148346, 98071, 16747, 1211, 874 ]

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

[ 98071, 2882, 36324, 13845, 107581, 17824, 75230, 36419, 6, 151227, 23093, 98071, 2702, 51172, 175323, 159696, 46053, 32, 90848, 39293, 37826, 1470, 98071, 2050, 6, 148346, 23173, 33809, 98071, 20911, 12, 2451, 151614, 148346, 6319, 29259, 1211, 9934, 29766, 2932, 3523, 98071, 2050, 4, 6, 148346, 98071, 2702, 28726, 4944, 119718, 29259, 4852, 6, 159696, 67873, 874, 98071, 2442, 1470, 75230, 2702, 8300, 21106, 1211, 5, 2808, 33809, 1211, 6428, 47351, 37826, 9934, 98071, 4667, 1285, 49597, 14857, 98071, 7611, 4151, 87311, 13497, 2451, 2808, 98071, 1211, 1285, 49597, 364, 32829, 49597, 4484, 119718, 29771, 12984, 42572, 33809, 1211, 220224, 6093, 148346, 233364, 13497, 95494, 159212, 1470, 98071, 4852, 95455, 6235, 159696, 1211, 4, 2451, 2932, 54260, 12483, 220224, 1470, 54260, 5666, 2865, 39083, 1470, 98071, 1211, 4838, 6, 128750, 29259, 6093, 29566, 167351, 98071, 1211, 4269, 59929, 5, 6, 90848, 39293, 1470, 98071, 4852, 6235, 159696, 1211, 1470, 98071, 1211, 4838, 3523, 33809, 46685, 67826, 49597, 2865, 33809, 23405, 5, 4269, 54260, 12483, 220224, 1470, 33809, 1211, 220224, 101080, 31467, 13159, 1211, 5, 1470, 33809, 1211, 162726, 33809, 34709, 33809, 23405, 3523, 98071, 2882, 9934, 98071, 4667, 6, 90848, 39293, 4838, 6319, 33809, 4484, 6, 23173, 33809, 2050, 12, 137, 39293, 133190, 4, 119055, 33809, 874, 98071, 68959, 29259, 49008, 32, 6, 64260, 1470, 98071, 4852, 81444, 4667, 4151, 137, 4852, 183718, 2909, 2451, 6, 57277, 39340, 4151, 6, 170355, 2932, 2702, 2451, 506, 64260, 1285, 49597, 14857, 98071, 26, 1211, 4151, 104149, 1285, 49597, 1751, 98071, 50853, 4, 125523, 3523, 98071, 2050, 119718, 98071, 2702, 16747, 98071, 4484, 4, 199145, 18583, 4838, 29566, 175323, 4944, 13159, 95455, 37826, 3069, 31467, 220224, 6093, 10498, 33809, 13159, 5, 2451, 199145, 119055, 39083, 2882, 6235, 159696, 1211, 2451, 506, 64260, 6, 90848, 39293, 6235, 71804, 40920, 2451, 159696, 1211, 874, 98071, 2442, 3523, 54260, 12483, 6, 23173, 29259, 1211, 2808, 33809, 1211, 874, 98071, 2442, 18583, 25391, 29259, 148346, 1211, 9934, 98071, 4667, 32, 2451, 8947, 119055, 39083, 2882, 133190, 7511, 49597, 2882, 6235, 159696, 1211, 4, 6, 90848, 39293, 4, 8947, 119055, 39083, 2882, 6235, 159696, 1211, 18583, 25391, 98071, 148346, 1211, 9934, 98071, 4667, 5, 2451, 3523, 54260, 1211, 5666, 54260, 1211, 4, 6, 148346, 29766, 98071, 2050, 18583, 1285, 49597, 2442, 16175, 75230, 2932, 95455, 3523, 98071, 2882, 5, 3069, 31467, 199145, 6, 94741, 63020, 1470, 98071, 4667, 2648, 98071, 4667, 6, 148346, 98071, 16747, 1211, 32, 6319, 39083, 4852, 212915, 6428, 33809, 151614, 16803, 874, 98071, 2442, 657, 98071, 148346, 4, 1470, 98071, 4852, 4, 4838, 35189, 26612, 148346, 4113, 4, 1470, 33809, 1211, 4151, 113889, 4667, 27, 2451, 199145, 4151, 113889, 4667, 32, 2451, 2808, 98071, 4852, 1470, 33809, 36909, 46685, 4484, 235210, 6093, 6235, 119718, 29766, 1211, 1285, 49597, 14857, 98071, 7611, 5, 2451, 4151, 113889, 4667, 119055, 119273, 33809, 4838, 159696, 4484, 2932, 54260, 1211, 4, 874, 98071, 2882, 6, 159696, 51723, 6428, 33809, 119055, 119273, 6, 159696, 67873, 2205, 119718, 33809, 506, 98071, 1211, 6428, 33809, 119055, 119273, 6, 159696, 67873, 5, 2451, 6, 97634, 6319, 33809, 2050, 6, 57277, 39340, 6, 23173, 29259, 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 ]

[ 4, 1470, 75230, 148346, 36324, 75230, 2451, 506, 64260, 1285, 49597, 2702, 3131, 98071, 7611, 6235, 3111, 31467, 51723, 90848, 104149, 18583, 4151, 364, 84577, 1470, 33809, 1211, 7369, 37826, 9934, 98071, 6, 23173, 29259, 5666, 8903, 36909, 98071, 33716, 18583, 25391, 29259, 148346, 1211, 9934, 98071, 4667, 5, 119718, 120467, 37826, 1470, 98071, 2442, 4151, 2865, 98071, 2882, 1285, 49597, 14857, 98071, 7611, 6235, 119718, 39083, 2882, 4151, 119718, 29259, 56880, 32, 6150, 4, 7369, 29659, 16667, 4, 2808, 98071, 4852, 7369, 3523, 98071, 2882, 4151, 115556, 4, 199145, 364, 29259, 13497, 119055, 29060, 7369, 9934, 98071, 4667, 3069, 31467, 5666, 75230, 36909, 2932, 54260, 1211, 874, 98071, 2882, 1470, 128750, 75230, 4, 1470, 33809, 1211, 874, 29766, 15388, 119055, 29060, 7369, 9934, 98071, 4838, 159696, 4484, 119718, 23173, 152656, 4, 1470, 33809, 1211, 4, 9424, 238144, 2882, 16667, 4, 37826, 7369, 9934, 98071, 57277, 39340, 657, 98071, 148346, 5, 1470, 33809, 1211, 95455, 1470, 98071, 4852, 4151, 98071, 75290, 4, 7369, 37826, 9934, 98071, 1470, 98071, 8300, 16932, 1470, 75230, 4667, 657, 98071, 148346, 4, 874, 98071, 57277, 28726, 1470, 98071, 25207, 6, 107581, 49268, 75230, 23269, 2702, 4, 1470, 33809, 1211, 6, 84577, 225975, 1211, 9934, 98071, 4667, 42572, 33809, 1211, 1470, 98071, 2442, 6, 236376, 7369, 3523, 98071, 2882, 5, 123736, 148346, 6093, 2648, 98071, 6, 107581, 49268, 75230, 23269, 2702, 119055, 53414, 54745, 1211, 19302, 114436, 4151, 36909, 33809, 1211, 32, 29771, 148346, 6093, 199145, 6235, 159696, 1211, 2451, 2808, 98071, 4852, 6235, 159696, 1211, 5, 1470, 98071, 56169, 6, 94741, 63020, 7369, 9934, 98071, 4667, 17824, 54260, 28320, 3069, 31467, 2050, 148346, 23173, 98071, 40920, 6, 159696, 15388, 153585, 7508, 29259, 39293, 5, 123736, 148346, 6093, 1470, 98071, 1211, 4151, 874, 98071, 3111, 31467, 2882, 1470, 98071, 4852, 1470, 98071, 2050, 6, 2050, 98071, 57277, 2050, 29771, 23829, 98071, 23405, 48904, 64213, 19302, 29766, 6235, 119718, 29766, 1211, 12, 4838, 159696, 4484, 36909, 29766, 1211, 42572, 33809, 16747, 48904, 12483, 874, 33809, 4852, 7369, 5, 7369, 874, 33809, 4852, 4838, 6293, 26612, 7508, 93704, 98071, 78683, 67873, 1470, 75230, 152656, 6, 192539, 1211, 153585, 17190, 148346, 1211, 5, 6, 23173, 75230, 2702, 3131, 203749, 1211, 6, 148346, 26612, 1470, 98071, 2442, 15, 2808, 33809, 1211, 1470, 75230, 4667, 6, 148346, 165592, 98071, 4667, 16, 10676, 6, 148346, 142429, 1211, 4, 199145, 67882, 40920, 874, 43178, 44779, 1470, 33809, 1211, 145813, 29259, 4852, 2882, 10676, 29434, 48904, 2932, 3069, 31467, 2050, 19302, 54260, 5666, 5, 148346, 98071, 2442, 61397, 28726, 12984, 17190, 148346, 1211, 5, 1470, 33809, 1211, 36324, 8947, 119055, 29060, 3523, 98071, 2882, 6, 148346, 1644, 29259, 148346, 1211, 6, 159696, 15388, 199145, 3069, 31467, 7508, 54260, 35465, 1470, 33809, 1211, 1470, 98071, 148346, 6093, 199145, 3069, 31467, 78891, 149364, 1211, 9934, 98071, 4667, 4, 119055, 29060, 6, 148346, 63593, 54260, 28726, 119055, 53414, 1470, 75230, 2050, 874, 98071, 2882, 76961, 54745, 148346, 40096, 1211, 98071, 42572, 48775, 8903, 1470, 98071, 4852, 133190, 4, 9424, 98071, 119055, 29766, 29771, 113889, 119718, 119055, 29060, 1470, 98071, 2050, 120202, 212484, 1211, 32, 1285, 49597, 16175, 33809, 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 ]

[ 194885, 1211, 81444, 2932, 21660, 54260, 1644, 18415, 6, 23173, 1285, 49597, 42572, 98071, 23405, 6093, 5, 37826, 7369, 9934, 98071, 4667, 6, 21106, 7611, 3523, 98071, 2050, 241997, 6, 148346, 26612, 31249, 98071, 46053, 4838, 6293, 26612, 657, 141847, 53414, 10498, 33809, 13159, 874, 98071, 2882, 119055, 29766, 29771, 22492, 119718, 1211, 4, 1470, 33809, 1211, 36324, 75230, 37826, 9934, 98071, 4667, 2181, 6235, 8300, 75230, 15388, 119055, 29771, 4667, 5, 2808, 75230, 2702, 1470, 33809, 1211, 119055, 29771, 4667, 2808, 29259, 1211, 5, 28415, 3069, 12483, 4151, 2865, 98071, 2882, 42542, 7369, 3523, 98071, 2882, 12, 23050, 3111, 31467, 5666, 38, 7369, 37826, 3117, 7511, 49597, 2882, 42572, 33809, 1211, 199145, 1470, 75230, 2702, 8300, 33809, 21733, 29259, 148346, 1211, 5, 42493, 6319, 29259, 1211, 6, 195054, 33809, 23405, 114436, 1470, 75230, 2702, 159696, 2932, 1470, 98071, 4852, 4838, 87311, 17410, 75230, 4667, 47833, 1470, 75230, 2702, 159696, 2932, 5, 1470, 33809, 1211, 42572, 33809, 1211, 10676, 43649, 183512, 22426, 33809, 185226, 1470, 98071, 4852, 220273, 5332, 36909, 16932, 34076, 29259, 104238, 4, 119718, 120467, 6, 90848, 39293, 37826, 9934, 98071, 4667, 1285, 49597, 141879, 874, 232187, 28320, 6150, 75230, 364, 59929, 46545, 18583, 3111, 31467, 51723, 4838, 6293, 2808, 98071, 2442, 42572, 98071, 2442, 5, 6, 212484, 6, 101470, 4838, 3373, 29771, 6293, 199145, 4269, 98071, 104238, 4, 1470, 98071, 56169, 1470, 98071, 4852, 4151, 8300, 33809, 4, 4838, 23269, 119718, 4, 1285, 49597, 8300, 29259, 2882, 4838, 4269, 98071, 16667, 2882, 98071, 39340, 5, 6, 148346, 21106, 2648, 119055, 53414, 6319, 21106, 17645, 1285, 49597, 6, 159696, 15388, 4, 28415, 207748, 1211, 1470, 98071, 1211, 1470, 33809, 710, 48350, 2648, 159696, 2882, 18225, 4151, 238144, 165607, 3523, 98071, 2882, 51678, 4, 1470, 98071, 56169, 119055, 29060, 1470, 98071, 2050, 153585, 17824, 98071, 23405, 4838, 159696, 4484, 8300, 33809, 36909, 29766, 1211, 5, 94741, 63020, 7369, 8248, 4667, 6, 57277, 39340, 3069, 31467, 23847, 54260, 28320, 3069, 31467, 2050, 6, 148346, 23173, 98071, 40920, 5, 163139, 49597, 36909, 1644, 6, 94741, 63020, 95455, 6, 148346, 26612, 1470, 98071, 2050, 137377, 101470, 32, 9424, 238144, 193012, 4, 17288, 4944, 16803, 16667, 29434, 29259, 5, 125523, 364, 29259, 13497, 32887, 50853, 29060, 7369, 119055, 29766, 29771, 710, 113889, 119718, 1211, 4, 36324, 42572, 33809, 54561, 29259, 23269, 2882, 159696, 49209, 42542, 7369, 1751, 75230, 1211, 6, 148346, 26612, 29659, 98071, 51723, 7508, 98071, 9934, 98071, 8300, 33809, 23405, 5, 2451, 6, 95494, 4, 6, 95494, 4, 67826, 49597, 44478, 4838, 148346, 98071, 35044, 4, 11265, 119055, 29060, 125523, 1470, 33809, 36909, 159696, 38249, 1285, 49597, 4231, 33809, 5666, 8903, 22426, 29766, 2451, 506, 64260, 9934, 98071, 4667, 1285, 49597, 6235, 159696, 4852, 65482, 1751, 75230, 4944, 29060, 39340, 3496, 48904, 20616, 76632, 4113, 6235, 148346, 54260, 4852, 77188, 4838, 6293, 2808, 98071, 2442, 6, 212915, 874, 98071, 28320, 8248, 31467, 1211, 4, 199145, 151614, 148346, 1211, 6235, 234221, 1470, 98071, 1211, 6, 148346, 25207, 183216, 9934, 98071, 4667, 1470, 98071, 1211, 6, 29766, 20315, 3111, 31467, 23405, 113889, 12984, 1470, 98071, 83182, 128750, 98071, 16870, 98071, 38249, 1470, 33809, 36909, 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 ]

[ 54260, 1211, 4, 1470, 33809, 1211, 151614, 148346, 1211, 6, 90848, 3069, 31467, 8903, 21733, 71577, 2882, 874, 98071, 2882, 1285, 49597, 137377, 8300, 59929, 1211, 1470, 98071, 148346, 53414, 117902, 1644, 6, 148346, 26612, 2050, 6, 23173, 33809, 36909, 10918, 49597, 12483, 1285, 49597, 67826, 49597, 119718, 1644, 4, 81444, 6235, 21733, 71577, 2882, 874, 98071, 2882, 35189, 6319, 119718, 99766, 6, 148346, 26612, 2050, 119055, 26612, 81829, 9934, 98071, 4667, 2451, 21106, 4113, 166464, 6, 48775, 63020, 18225, 1470, 29259, 4667, 4151, 87311, 49008, 5, 2451, 6428, 23173, 36909, 16803, 1470, 33809, 16747, 4852, 3523, 98071, 2882, 4151, 87311, 49008, 2451, 506, 64260, 23050, 4852, 29771, 13497, 4, 42572, 208048, 83182, 39340, 24621, 16747, 98071, 4484, 153585, 6, 148346, 2442, 54260, 18415, 6, 23173, 33809, 2865, 8903, 3131, 29766, 65482, 6, 148346, 29766, 2648, 4, 4151, 43649, 13845, 36909, 23173, 186145, 16932, 36909, 2884, 207748, 4852, 98071, 89930, 42572, 33809, 1211, 6, 148346, 2442, 33809, 7511, 49597, 59461, 6, 212394, 119718, 98071, 33716, 88660, 137377, 41764, 54260, 36419, 4667, 7508, 33809, 1982, 98071, 87311, 119718, 98071, 48253, 2451, 2865, 98071, 2442, 6, 238144, 46053, 6, 21106, 54260, 1211, 5, 1982, 48904, 20616, 76632, 49597, 4113, 15, 2808, 98071, 83182, 29659, 98071, 1644, 2077, 5332, 22426, 13159, 1470, 98071, 4852, 6, 148346, 26612, 220224, 3523, 91595, 1211, 6, 148346, 208048, 47332, 8903, 159696, 1211, 4838, 6, 56914, 36909, 6093, 10498, 33809, 13159, 4, 151614, 148346, 1470, 98071, 4667, 221387, 4, 95455, 364, 23173, 710, 1470, 98071, 4852, 564, 98071, 2442, 3523, 98071, 23822, 33809, 98071, 4484, 5, 119055, 6093, 6, 238144, 16803, 220224, 27, 36324, 13845, 107581, 115374, 5, 5, 22426, 54260, 36419, 4667, 12, 199145, 4, 115374, 27, 76961, 115374, 194885, 1211, 4838, 6293, 1470, 54260, 1211, 43649, 54260, 61397, 5, 159696, 1644, 119718, 1644, 15, 35189, 8248, 31467, 1211, 2077, 1470, 98071, 1211, 119055, 174121, 37826, 1470, 98071, 2442, 1470, 98071, 2050, 6, 148346, 93704, 23173, 159212, 2808, 29259, 5666, 119718, 98071, 21733, 12483, 2451, 64260, 199145, 1470, 98071, 4667, 119055, 39083, 2882, 1470, 29259, 4667, 6235, 225975, 2882, 5, 6235, 4484, 119718, 71577, 29060, 9934, 98071, 4667, 35830, 26612, 224220, 33809, 7511, 49597, 16803, 5, 42572, 25207, 2932, 4, 199145, 37826, 1470, 98071, 2442, 42572, 33809, 1211, 1470, 98071, 2050, 32, 1982, 48904, 20616, 76632, 4113, 12, 3523, 33809, 3111, 31467, 4, 6235, 3111, 31467, 2932, 1751, 75230, 1211, 4, 6235, 3111, 31467, 2932, 5, 7369, 42542, 125523, 4151, 506, 53414, 5, 159696, 1644, 119718, 1644, 12, 7369, 42542, 3523, 98071, 2882, 4151, 506, 53414, 5, 3523, 98071, 97634, 1470, 98071, 2050, 1751, 75230, 1211, 1470, 98071, 83182, 506, 54260, 2050, 5, 1470, 98071, 4667, 506, 29771, 148346, 6235, 104149, 6428, 33809, 2442, 12984, 42572, 4113, 57619, 16932, 4, 7369, 1470, 98071, 4852, 4838, 159696, 4484, 8903, 240863, 12483, 5, 48775, 23269, 506, 76632, 4113, 12, 6, 94741, 63020, 9934, 98071, 4667, 6, 90848, 39293, 1470, 75230, 2702, 31249, 29771, 152656, 5, 9934, 98071, 37826, 3523, 98071, 2882, 199145, 8300, 33809, 160204, 4, 170479, 9934, 98071, 9934, 98071, 4667, 6, 238144, 7511, 49597, 152194, 16667, 3523, 33809, 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 ]

[ 1470, 75230, 2702, 31249, 29771, 152656, 5, 159696, 1644, 119718, 1644, 12, 119055, 6093, 6, 212484, 2882, 1470, 98071, 2442, 3523, 98071, 2882, 32, 170479, 9934, 98071, 620, 26612, 152656, 38, 22426, 54260, 36419, 4667, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 15, 148346, 92605, 33809, 4484, 16747, 98071, 4484, 95455, 6, 159696, 177282, 4, 119055, 59929, 506, 64260, 120202, 8903, 2882, 54260, 21295, 42572, 33809, 1211, 43649, 33809, 148346, 95455, 9424, 98071, 46685, 42572, 33809, 1211, 1285, 49597, 3496, 59929, 65482, 23269, 506, 174121, 2077, 36909, 33809, 16747, 119273, 159696, 15388, 6, 94741, 63020, 18225, 81444, 5332, 22426, 13159, 3069, 31467, 236376, 1211, 874, 98071, 2882, 199145, 3069, 31467, 18583, 128540, 5, 10918, 49597, 5332, 36909, 86733, 4838, 6319, 71577, 98071, 2882, 21106, 23269, 119055, 84577, 4838, 159696, 4484, 128540, 32, 159696, 1644, 119718, 1644, 12, 151614, 16803, 1751, 75230, 1211, 3523, 98071, 2882, 4, 119055, 33809, 4838, 506, 98071, 57619, 33809, 97634, 1211, 6319, 29259, 1211, 182731, 32, 22426, 54260, 36419, 4667, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 12, 3523, 33809, 4, 4269, 33809, 2882, 5, 95455, 6, 159696, 67873, 874, 98071, 2442, 125523, 6, 104149, 4015, 22426, 54260, 36419, 4667, 37826, 9934, 98071, 4667, 6235, 2808, 29259, 21295, 4, 17190, 88660, 159696, 2648, 41764, 33809, 2442, 98071, 2050, 1470, 98071, 4852, 18225, 9934, 98071, 4667, 3523, 91595, 1211, 36909, 23173, 39293, 46053, 4838, 148346, 98071, 2702, 13845, 1751, 109636, 16932, 1470, 33809, 1211, 14856, 37826, 1470, 75230, 4667, 6235, 3111, 31467, 51723, 47833, 1470, 98071, 148346, 6093, 98071, 39340, 148346, 98071, 35044, 6, 148346, 2442, 48904, 152656, 4, 37826, 18225, 9934, 98071, 4667, 117902, 3131, 29060, 18583, 31249, 29771, 152656, 5, 123736, 148346, 6093, 18583, 1211, 4838, 159696, 4484, 2932, 54260, 1211, 2808, 98071, 1211, 3523, 59929, 6, 23173, 29259, 1211, 37826, 7369, 125523, 6235, 506, 40096, 4838, 19302, 54260, 7511, 49597, 4484, 29259, 2882, 3069, 31467, 18583, 4852, 29766, 15388, 1470, 98071, 5666, 5, 35189, 506, 54260, 2050, 12, 2451, 6, 64260, 199145, 4, 119055, 13845, 119718, 1644, 4, 81444, 151614, 148346, 1470, 98071, 4667, 3069, 31467, 8903, 236376, 4838, 6, 212484, 33809, 23405, 3069, 31467, 4852, 54260, 6093, 6, 101328, 194734, 119718, 2451, 37271, 2648, 98071, 6, 88660, 137377, 6093, 26612, 10918, 49597, 4113, 1470, 98071, 4852, 4151, 6, 159696, 2932, 69872, 6428, 33809, 55242, 16803, 32, 1470, 98071, 1211, 8300, 238144, 193012, 6, 23173, 33809, 2050, 1470, 98071, 4852, 4838, 6, 101328, 194734, 119718, 220224, 6093, 6093, 4, 874, 98071, 2882, 1285, 49597, 119055, 29259, 148346, 6093, 4838, 67882, 710, 36419, 2451, 4852, 39083, 16803, 33809, 1470, 98071, 2050, 132025, 186565, 49597, 61621, 5, 1285, 49597, 1751, 97634, 6293, 1470, 98071, 4852, 1751, 75230, 1211, 132025, 8903, 23847, 54260, 2882, 6, 148346, 26612, 874, 98071, 2442, 4838, 152656, 16175, 98071, 3131, 5, 4852, 39083, 18225, 3523, 98071, 2882, 6, 225975, 1211, 4, 36324, 1285, 49597, 6, 88660, 137377, 6093, 26612, 10918, 49597, 4113, 43649, 54260, 2882, 120202, 42572, 33809, 1211, 1285, 49597, 221895, 29766, 5666, 48904, 98071, 170355, 10918, 49597, 13159, 5, 2451, 3523, 33809, 2882, 2451, 506, 64260, 119055, 13845, 119718, 1644 ]

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

[ 6, 23173, 29259, 23405, 13845, 54260, 98833, 1470, 98071, 1211, 119055, 119273, 39340, 3131, 65482, 95455, 4151, 143409, 18415, 9424, 29060, 109316, 5, 2451, 6, 148346, 21106, 2648, 119055, 13845, 1470, 98071, 4667, 95455, 132025, 186565, 49597, 61621, 5, 2451, 1470, 33809, 1211, 3069, 31467, 1285, 49597, 2442, 1470, 75230, 4667, 4838, 67826, 49597, 21733, 1470, 98071, 7511, 12483, 4, 6, 76776, 1285, 49597, 2442, 38, 2451, 506, 64260, 7369, 9934, 98071, 4667, 4838, 75290, 6235, 97634, 1211, 3069, 31467, 3496, 48904, 20616, 76632, 12483, 4, 1470, 33809, 1211, 42572, 33809, 1211, 874, 84577, 63849, 79238, 65482, 37826, 7369, 4838, 152656, 16175, 98071, 3131, 23173, 75230, 2702, 8903, 3131, 64260, 1211, 9424, 238144, 364, 75230, 36909, 16667, 9934, 98071, 1644, 148346, 6093, 23269, 21295, 2451, 24621, 16667, 2882, 1751, 75230, 1211, 5332, 22426, 13159, 1470, 29259, 20260, 75230, 152656, 26612, 6293, 41764, 54260, 36419, 4667, 5, 151614, 16803, 6235, 104149, 4, 163139, 49597, 95455, 215594, 1470, 75230, 2702, 32, 2451, 55242, 133190, 38, 2451, 4852, 29259, 49008, 6, 148346, 26612, 3496, 48904, 20616, 76632, 12483, 3069, 31467, 36909, 1644, 75230, 49209, 6235, 119718, 29766, 1211, 35830, 1285, 49597, 6, 143409, 7511, 49597, 2882, 6235, 39293, 65482, 9934, 98071, 1644, 148346, 6093, 2865, 40096, 148346, 54260, 13159, 1285, 49597, 1470, 75230, 15388, 12, 2451, 165592, 75230, 42572, 98071, 1644, 6, 101328, 61621, 1470, 98071, 1211, 1285, 49597, 1470, 75230, 49209, 7511, 49597, 2882, 6235, 104149, 5, 2451, 178748, 16803, 193178, 137, 36326, 107581, 710, 171433, 33809, 2909, 2451, 119055, 33809, 151614, 16803, 33809, 6235, 3111, 31467, 51723, 6150, 75230, 42572, 98071, 1644, 32, 2451, 3523, 98071, 2882, 6, 21106, 8300, 54260, 16667, 1285, 49597, 2442, 32, 2451, 2808, 33809, 1211, 81444, 4667, 37826, 7369, 3069, 31467, 5666, 65482, 148346, 1211, 2451, 26612, 6293, 3069, 31467, 6235, 148346, 1211, 25207, 105235, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 1470, 98071, 4852, 95455, 5, 6, 5, 1470, 98071, 1211, 6, 148346, 48904, 4484, 6, 148346, 92605, 33809, 51723, 5, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 3496, 71577, 1211, 2648, 120467, 163139, 49597, 67882, 26394, 119718, 59929, 6093, 170479, 16803, 33809, 163139, 49597, 46053, 4, 199145, 6428, 33809, 151614, 16803, 3069, 31467, 160204, 5, 4151, 113889, 4667, 9183, 29060, 8947, 119055, 53414, 1470, 75230, 2702, 4231, 98071, 4944, 13159, 5, 29771, 148346, 6093, 1751, 75230, 1211, 1470, 98071, 1211, 16175, 98071, 2442, 43649, 54260, 141943, 98071, 4484, 4, 37826, 9934, 98071, 4667, 41764, 54260, 36419, 4667, 5332, 22426, 13159, 4151, 87311, 13497, 12, 2451, 42572, 33809, 1211, 14856, 47526, 12483, 6319, 29259, 1211, 6, 148346, 2442, 98071, 119718, 3523, 98071, 2882, 6235, 159696, 1211, 32, 2451, 42493, 6235, 159696, 1211, 5, 2451, 199145, 42542, 95455, 153585, 32, 3373, 29259, 35465, 7369, 19302, 29259, 148346, 2882, 9934, 98071, 4667, 6, 21106, 54260, 1211, 3069, 31467, 6319, 33809, 51723, 5, 3523, 33809, 4, 2932, 33809, 2882, 5, 874, 98071, 61621, 6, 104149, 5, 2808, 33809, 1211, 125523, 37826, 41764, 54260, 36419, 4667, 4838, 6, 236376, 6235, 97634, 1211, 12, 6, 94741, 40920, 9934, 98071, 4667, 4, 6, 21106, 7611, 4, 199145, 6, 150839, 64260, 6235, 506, 40096 ]

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

[ 3069, 31467, 18583, 4852, 29766, 15388, 1470, 98071, 83182, 506, 54260, 2050, 5, 1470, 98071, 56169, 42542, 7369, 3523, 54260, 1211, 5, 21776, 148346, 4838, 119718, 90848, 2050, 165354, 9934, 98071, 4667, 1751, 75230, 1211, 6235, 119718, 98071, 2702, 119055, 33809, 83182, 1211, 4, 199145, 7369, 6319, 33809, 63532, 3523, 98071, 2882, 36324, 75230, 145813, 29060, 5, 7369, 42542, 26612, 36909, 98071, 28726, 874, 54260, 49008, 4, 36324, 41764, 54260, 36419, 4667, 37826, 3496, 23173, 64260, 4113, 6235, 506, 40096, 2451, 4944, 26612, 4944, 26612, 4, 6, 107581, 119718, 2442, 21660, 98071, 16932, 2882, 18583, 1470, 98071, 2050, 3523, 98071, 2882, 4838, 6293, 4838, 6, 195054, 91595, 6093, 27, 1470, 33809, 112304, 98071, 16803, 38, 41764, 54260, 36419, 4667, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 1470, 98071, 4852, 3523, 98071, 2882, 4151, 115556, 132025, 8300, 33809, 39293, 64213, 9934, 98071, 4667, 4838, 6293, 239672, 6, 148346, 21106, 26612, 148346, 40096, 98071, 2050, 5, 7369, 21106, 54260, 1211, 17190, 148346, 2882, 4, 6, 212484, 4838, 6, 105235, 21338, 30109, 4113, 46685, 1470, 75230, 4667, 151614, 148346, 1211, 42572, 33809, 5666, 119718, 48904, 12483, 3069, 31467, 17190, 148346, 1211, 5, 3742, 2648, 120467, 1470, 98071, 4852, 1751, 75230, 1211, 3523, 98071, 2882, 6235, 159696, 1211, 4151, 41764, 54260, 36419, 4667, 4, 199145, 76961, 6235, 20315, 20260, 12483, 125523, 4, 2808, 98071, 1211, 4151, 42572, 20961, 36909, 21660, 16932, 1470, 33809, 1211, 874, 98071, 2882, 6, 218241, 46053, 148346, 1644, 33809, 2882, 18583, 3131, 80453, 98071, 8300, 16932, 6, 78683, 204403, 18415, 4, 2808, 33809, 1211, 874, 98071, 2882, 4151, 6, 148346, 29766, 2648, 4, 199145, 1470, 98071, 4852, 23050, 119718, 162785, 1211, 4, 163139, 49597, 163139, 49597, 1644, 20315, 4269, 90848, 4852, 3523, 98071, 2882, 6319, 29259, 1211, 3069, 31467, 23269, 5, 39293, 65482, 5, 1285, 49597, 6, 148346, 29766, 2648, 1470, 98071, 4852, 6, 148346, 26612, 1470, 98071, 2050, 1751, 75230, 1211, 3523, 98071, 2882, 36324, 75230, 6, 71804, 23405, 4, 133190, 9934, 98071, 1470, 98071, 4852, 6319, 29259, 28726, 133324, 98071, 46985, 33809, 194734, 164863, 79238, 29766, 1211, 4, 1470, 33809, 1211, 19302, 54260, 35189, 37826, 7369, 1751, 75230, 1211, 1470, 75230, 4667, 6235, 226112, 15388, 1470, 98071, 23405, 48904, 64213, 6428, 29259, 48253, 98071, 36326, 5, 1470, 33809, 1211, 95455, 4, 199145, 32887, 42572, 147713, 2882, 6, 75322, 39083, 42572, 33809, 1211, 1470, 98071, 2050, 6, 71804, 12984, 4, 163139, 49597, 7369, 21776, 2882, 874, 98071, 28320, 2808, 33809, 48775, 155246, 49597, 4484, 4, 9424, 98071, 874, 98071, 28320, 6, 80453, 98071, 2702, 57277, 119718, 4, 36324, 14856, 42572, 147713, 2882, 235311, 4, 3523, 98071, 2882, 6319, 29259, 1211, 7508, 33809, 2702, 98071, 3131, 4, 199145, 6093, 37826, 220273, 3523, 98071, 2882, 241997, 4, 133190, 116486, 16803, 117902, 3131, 29060, 137, 22426, 75230, 6093, 98071, 3131, 2004, 1470, 98071, 4852, 95455, 2808, 98071, 8300, 16932, 1470, 75230, 4667, 18583, 75290, 2882, 6235, 119718, 29766, 1211, 4838, 6293, 4838, 67882, 710, 28726, 12, 7369, 37826, 220273, 6, 21106, 54260, 1211, 3523, 98071, 2882, 23269, 119718, 33809, 16803, 4, 36324, 125523, 42572, 33809, 1211, 1285, 49597, 4231, 98071, 214766, 36326, 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 ]

[ 101328, 61621, 1470, 98071, 4852, 7369, 6235, 119718, 92605, 46053, 4838, 112216, 23822, 98071, 64260, 42572, 33809, 1211, 35189, 119055, 29259, 49268, 33809, 2702, 98071, 86733, 145813, 48775, 4667, 1470, 33809, 1211, 1470, 98071, 23405, 48904, 64213, 6, 47351, 1470, 54260, 2932, 114436, 115556, 1470, 98071, 1211, 4151, 4484, 33809, 2050, 141943, 98071, 75290, 21776, 22426, 33809, 148346, 1644, 98071, 4484, 27, 6319, 54260, 1211, 21776, 22426, 33809, 148346, 1644, 98071, 4484, 37826, 9934, 98071, 4667, 1470, 98071, 2050, 4, 18583, 29659, 54260, 2882, 9934, 98071, 4667, 4, 4484, 54260, 1211, 874, 39083, 3523, 98071, 2882, 160751, 39083, 46598, 2050, 4, 123736, 148346, 6093, 3496, 29789, 33809, 23269, 42572, 33809, 1211, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 37826, 6, 89184, 148346, 98071, 2702, 28726, 4944, 119718, 29259, 4852, 6235, 8300, 75230, 15388, 12, 6, 75322, 39083, 4838, 55242, 21733, 6, 148346, 33809, 1644, 148346, 13159, 4, 6, 75322, 39083, 4838, 6319, 13845, 148346, 1644, 4, 9424, 98071, 133190, 29060, 192956, 42572, 13845, 4944, 44779, 4, 1470, 33809, 1211, 6319, 54260, 5666, 2865, 39083, 37826, 7369, 3523, 98071, 2882, 6235, 119718, 33809, 16803, 4, 42572, 33809, 1211, 199145, 6, 150839, 64260, 28415, 6093, 12, 9424, 98071, 42572, 33809, 1211, 4151, 38087, 98071, 18415, 4151, 364, 54260, 1644, 98071, 75290, 4, 9424, 98071, 42572, 33809, 1211, 7508, 98071, 46711, 54260, 36909, 65482, 22426, 75230, 6093, 98071, 2050, 27, 4838, 148346, 98071, 95455, 4, 199145, 7369, 37826, 6235, 506, 40096, 3069, 31467, 160204, 874, 98071, 2882, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 5, 21106, 4113, 194885, 6, 101328, 61621, 4, 37826, 1470, 98071, 2050, 220273, 4269, 33809, 2882, 3069, 31467, 8903, 3131, 22426, 98071, 21295, 4, 119055, 12483, 2181, 1470, 98071, 4852, 23050, 4484, 33809, 51723, 15529, 9424, 29259, 2882, 4151, 8300, 33809, 5, 36324, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 151614, 148346, 1211, 6, 148346, 79238, 59929, 1211, 6, 148346, 98071, 2442, 61397, 25616, 98071, 2932, 3523, 98071, 2882, 241997, 6428, 33809, 2442, 4944, 4484, 33809, 51723, 874, 37016, 75230, 4113, 4667, 4151, 2376, 33809, 39340, 42572, 33809, 1211, 148707, 80453, 137377, 2442, 98071, 2808, 98071, 33716, 1211, 117902, 2442, 147712, 506, 54260, 6293, 4, 37826, 9934, 98071, 4667, 1470, 98071, 1211, 1470, 54260, 2702, 37016, 137, 23173, 29259, 5666, 151227, 54260, 13497, 155, 7508, 33809, 1982, 98071, 87311, 119718, 98071, 48253, 2451, 64260, 119055, 12483, 2181, 2808, 98071, 4852, 3069, 31467, 7511, 49597, 7611, 6235, 4484, 33809, 51723, 4151, 1751, 23173, 36909, 6093, 874, 75230, 4113, 4667, 4, 199145, 7369, 37826, 9934, 98071, 4667, 125523, 874, 12, 2882, 26394, 47526, 98071, 75290, 6, 101328, 61621, 3069, 31467, 2442, 98071, 4484, 36324, 75230, 4269, 33809, 2882, 1470, 75230, 2702, 23269, 3131, 23173, 159212, 1470, 98071, 1211, 4151, 119055, 29771, 212484, 3131, 127684, 77578, 3131, 98071, 159696, 12, 41764, 54260, 36419, 4667, 7508, 33809, 1982, 98071, 2050, 2808, 119718, 98071, 48253, 37826, 18583, 3131, 57277, 49008, 1470, 6235, 36326, 159212, 38, 3523, 98071, 57277, 4852, 75230, 3523, 98071, 4667, 21776, 2882, 9934, 98071, 4667, 2181, 4, 163139, 49597, 2181, 16175, 33809, 2882, 9934, 98071, 4667, 5, 123736, 148346, 6093, 6319, 75230, 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 ]

[ 37826, 41764, 54260, 36419, 4667, 18583, 3131, 57277, 49008, 6, 159696, 15388, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 4, 36324, 1470, 98071, 56169, 1470, 98071, 4852, 220224, 6093, 9424, 29259, 2882, 4, 163139, 49597, 6, 75322, 39083, 2181, 1470, 98071, 4852, 8903, 159696, 1211, 18133, 6, 80453, 98071, 10918, 49597, 36326, 4, 37826, 7369, 1751, 75230, 1211, 6235, 119718, 33809, 16803, 4, 36324, 7369, 6, 94741, 63020, 46711, 213783, 220224, 6093, 159696, 2932, 4, 1470, 33809, 1211, 119055, 6093, 21776, 2882, 4, 36324, 8947, 3523, 98071, 2882, 9934, 98071, 4667, 1470, 29259, 1211, 3069, 31467, 18583, 1644, 75230, 152656, 1470, 33809, 1211, 6319, 33809, 51723, 874, 98071, 57277, 18583, 2882, 98071, 38249, 162726, 47351, 4, 1470, 98071, 4852, 4838, 119718, 23173, 4113, 4269, 33809, 2882, 5, 119055, 6093, 1470, 98071, 4852, 6235, 159696, 1211, 4151, 1470, 98071, 7511, 49597, 10918, 49597, 40096, 20961, 2808, 33809, 1211, 4151, 4269, 48904, 89930, 1470, 33809, 159212, 33809, 6093, 42572, 33809, 1211, 6, 148346, 2442, 33809, 7511, 49597, 59461, 6, 212394, 119718, 98071, 33716, 88660, 137377, 32, 41764, 54260, 36419, 4667, 2442, 33809, 1982, 98071, 2050, 29771, 119718, 98071, 48253, 5, 1470, 98071, 4852, 7369, 6, 57277, 39340, 6, 148346, 26612, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 1470, 98071, 8300, 16932, 4151, 7508, 75230, 3131, 159696, 2442, 98071, 81829, 5, 148346, 26612, 86733, 7369, 37826, 6, 21106, 54260, 1211, 3523, 98071, 2882, 6235, 119718, 39083, 2882, 12, 4838, 4231, 98071, 2648, 1470, 33809, 1211, 6, 68558, 4838, 3373, 29771, 10918, 49597, 14081, 6093, 137377, 37460, 26612, 2050, 33809, 23405, 4, 42542, 18225, 9934, 171433, 1211, 5, 123736, 148346, 6093, 119055, 12483, 7369, 170479, 6, 159696, 67873, 4, 119055, 39083, 28320, 220224, 1470, 98071, 2050, 54745, 1211, 7511, 2882, 1470, 75230, 2702, 8903, 21733, 98071, 148346, 1211, 18583, 1211, 207748, 4852, 98071, 89930, 32, 123736, 148346, 6093, 3069, 31467, 199145, 123073, 4269, 33809, 18415, 4231, 29766, 37826, 6093, 2181, 6, 148346, 93704, 23173, 159212, 32, 1470, 75230, 148346, 7369, 1470, 98071, 4852, 27702, 710, 119718, 98071, 96743, 175323, 4151, 4269, 48904, 89930, 6, 148346, 21106, 4113, 148346, 120467, 4, 1470, 33809, 1211, 2442, 6093, 207748, 4852, 98071, 89930, 1470, 98071, 4852, 6, 148346, 26612, 1470, 98071, 2050, 1470, 98071, 1211, 1285, 49597, 364, 35596, 137, 78683, 4944, 75230, 16932, 6, 148346, 29789, 23173, 14779, 175323, 75230, 89930, 2909, 119718, 120467, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 9934, 29771, 13497, 1470, 98071, 2050, 4, 95455, 16175, 33809, 2882, 7369, 4, 1470, 33809, 1211, 199145, 7369, 4151, 71804, 23405, 96256, 98071, 2050, 4, 95455, 22518, 29259, 148346, 2882, 7369, 1470, 33809, 13497, 6093, 5, 28415, 7511, 49597, 2882, 199145, 4231, 114436, 37826, 4151, 33809, 6293, 133190, 7511, 49597, 2050, 6319, 29259, 1211, 9424, 29259, 2882, 1470, 33809, 1211, 2181, 657, 98071, 13497, 1470, 98071, 2050, 3523, 98071, 2882, 1470, 98071, 1211, 6319, 137377, 5, 6, 148346, 48904, 54260, 2882, 7369, 9934, 98071, 4667, 1470, 98071, 23405, 48904, 64213, 2357, 68558, 4838, 207748, 4852, 98071, 89930, 12, 43649, 13845, 36909, 23173, 186145, 16932, 41764, 54260, 36419, 4667, 7508, 33809, 4944, 98071, 2050, 29771, 119718, 98071, 48253 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1211, 220273, 2451, 119718, 120467, 42572, 13845, 2882, 32, 2648, 98071, 200795, 9424, 29259, 2882, 4, 119055, 12483, 41764, 54260, 36419, 4667, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 37826, 9934, 98071, 4667, 132025, 8903, 506, 75230, 148346, 1211, 2808, 54260, 36419, 38249, 874, 98071, 2882, 6, 95494, 152656, 10676, 6, 88660, 137377, 6093, 40096, 98071, 119718, 4, 37826, 9934, 98071, 4667, 1470, 98071, 1211, 6, 105235, 21338, 6235, 75290, 2882, 159696, 21295, 1211, 2451, 25616, 4113, 46685, 1470, 33809, 1211, 364, 141943, 44478, 194885, 1211, 6, 23173, 33809, 127209, 43178, 48904, 49008, 6, 68558, 6319, 137377, 27, 2451, 119055, 33809, 1470, 98071, 4852, 95455, 221387, 23050, 119718, 29766, 1211, 4, 6150, 4838, 4231, 98071, 2648, 4838, 1751, 75230, 4944, 29060, 170479, 193178, 137218, 94741, 51172, 2702, 874, 98071, 2882, 46050, 49597, 119364, 1470, 33809, 1211, 115222, 49209, 6, 159696, 51723, 2451, 39340, 15388, 1470, 54260, 5666, 65482, 6, 148346, 2442, 98071, 35189, 239672, 12, 36909, 4113, 4, 3496, 21106, 29771, 3131, 13159, 38, 2451, 506, 29771, 148346, 1211, 220224, 6235, 80453, 33809, 119718, 2882, 163139, 49597, 24152, 1211, 4838, 6293, 153585, 4231, 75230, 86733, 2451, 119718, 33809, 1470, 98071, 4852, 95455, 23269, 506, 77188, 6235, 119718, 29766, 1211, 4, 21776, 148346, 41764, 54260, 36419, 4667, 4, 4838, 6, 105235, 21338, 874, 98071, 2882, 30109, 4113, 46685, 4, 6319, 54260, 76776, 5927, 29766, 4113, 27, 26612, 159696, 4484, 75230, 1644, 171428, 6, 68558, 4838, 14856, 101608, 5, 4852, 54260, 220224, 49008, 6235, 240863, 12483, 4838, 36909, 98071, 28726, 119055, 29259, 16932, 4, 1470, 33809, 1211, 151614, 148346, 1211, 6235, 80453, 33809, 119718, 2882, 6, 128540, 2808, 33809, 13497, 53414, 3373, 29771, 36909, 37016, 1470, 98071, 1211, 4269, 48904, 64213, 1285, 49597, 38087, 98071, 18415, 194885, 9424, 98071, 18225, 178748, 220273, 8947, 1211, 42572, 33809, 1211, 4852, 29259, 1211, 38087, 98071, 18415, 32, 123736, 148346, 6093, 119055, 6093, 6, 236376, 1470, 98071, 8300, 16932, 6, 159696, 15388, 38087, 98071, 18415, 32, 41764, 54260, 36419, 4667, 2442, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 37826, 6235, 36909, 98071, 21295, 4, 36324, 81444, 874, 33809, 4852, 7369, 153585, 42572, 119273, 1470, 98071, 1211, 4151, 6428, 54260, 4113, 2808, 33809, 1211, 364, 23173, 2882, 4, 1470, 33809, 1211, 95455, 1470, 98071, 4852, 7369, 163139, 49597, 24152, 44779, 6235, 159696, 1211, 5, 1470, 33809, 1211, 199145, 37826, 9934, 98071, 4667, 1470, 75230, 2702, 8903, 212484, 2882, 32, 1470, 33809, 2050, 4852, 98071, 80885, 22518, 37016, 5, 36324, 75230, 163139, 49597, 239672, 151614, 148346, 1211, 6, 128750, 98071, 6093, 23050, 25616, 63593, 77188, 4, 36324, 75230, 506, 29771, 148346, 1211, 220224, 6235, 25616, 63593, 77188, 1470, 75230, 4667, 119055, 29259, 16932, 4, 1470, 33809, 1211, 18225, 6319, 68558, 6, 225975, 1211, 4, 125523, 874, 98071, 2882, 46685, 6093, 4151, 36909, 39083, 2932, 5, 41764, 54260, 36419, 4667, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 37826, 9934, 98071, 4667, 1470, 75230, 2702, 8903, 212484, 2882, 133190, 7511, 49597, 158652, 29259, 1211, 620, 91595, 6093, 115556, 4, 1470, 33809, 1211, 199145, 8947, 37826, 6, 148346, 92605, 33809, 51723, 4151, 6, 88660, 137377, 6093, 40096, 98071 ]

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

[ 119718, 4, 506, 29771, 148346, 1211, 23050, 506, 40096, 1285, 30109, 4113, 46685, 5, 199145, 37826, 6235, 36909, 13845, 2882, 32, 2648, 120467, 1470, 54260, 2932, 65482, 1470, 75230, 4667, 1470, 98071, 8300, 16932, 874, 98071, 2882, 4151, 186046, 2882, 17645, 6, 78683, 137377, 6093, 40096, 98071, 159696, 6, 238144, 12483, 4, 119718, 29771, 4944, 41764, 54260, 36419, 4667, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 37826, 364, 29259, 13497, 6235, 506, 40096, 3069, 31467, 21776, 21106, 98071, 4852, 98071, 61621, 5, 1470, 54260, 105405, 44779, 506, 64260, 7369, 95455, 4838, 128750, 98071, 6093, 23050, 4484, 35596, 6235, 148346, 1211, 3069, 31467, 6, 87311, 67873, 4838, 6293, 4151, 874, 98071, 1644, 4, 1470, 33809, 1211, 4151, 113889, 4667, 2808, 98071, 148346, 6093, 8903, 148346, 1211, 1751, 75230, 1211, 1285, 49597, 48277, 1470, 98071, 1211, 1285, 49597, 6, 80453, 98071, 119718, 174121, 6319, 90848, 51723, 19532, 29259, 1211, 5, 95455, 119055, 39083, 96256, 448, 6, 148346, 13159, 6093, 192183, 159696, 7511, 49597, 61621, 5, 123736, 148346, 6093, 9424, 98071, 657, 75230, 13497, 9934, 98071, 4667, 1470, 98071, 2050, 3069, 31467, 1470, 54260, 36419, 38249, 4151, 2865, 98071, 2882, 32, 5666, 54260, 1211, 4, 8947, 657, 75230, 13497, 3523, 98071, 2882, 12, 4151, 1470, 33809, 194734, 93509, 54260, 2648, 1470, 98071, 1211, 1285, 49597, 6, 80453, 29259, 56880, 1470, 98071, 4852, 1470, 98071, 1211, 6, 148346, 2442, 33809, 7511, 49597, 59461, 8903, 5666, 13497, 3523, 98071, 2882, 6319, 29259, 1211, 17824, 75230, 101608, 5, 17190, 148346, 1211, 220224, 4838, 166464, 4, 1285, 49597, 30109, 4113, 46685, 1285, 49597, 6, 148346, 2442, 33809, 7511, 49597, 59461, 4, 1470, 33809, 1211, 4852, 39083, 1211, 220224, 6, 57277, 39340, 163139, 49597, 46053, 4, 163139, 49597, 3069, 31467, 27855, 64213, 4838, 6235, 159696, 39293, 119132, 1751, 75230, 4944, 29060, 5, 6, 75322, 39083, 194885, 1211, 23269, 159696, 1211, 87680, 6, 148346, 14081, 29060, 75230, 159696, 2702, 1470, 98071, 1211, 6, 105235, 21338, 2451, 119718, 33809, 194885, 1211, 220224, 1470, 98071, 8300, 16932, 32, 2808, 98071, 8300, 16932, 1470, 98071, 4852, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 153222, 2050, 9424, 29259, 2882, 2451, 46598, 178748, 220224, 132025, 29659, 54260, 1211, 27, 2451, 3523, 33809, 199145, 4, 21776, 148346, 4838, 119718, 90848, 2050, 32, 2451, 506, 64260, 9934, 98071, 4667, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 4151, 1644, 75230, 148346, 2882, 3069, 31467, 101296, 12984, 4838, 148346, 98071, 35044, 84349, 59929, 4, 19532, 29259, 20260, 33809, 24621, 16747, 98071, 4484, 3069, 31467, 2050, 6235, 159696, 39293, 119132, 15, 29771, 148346, 6093, 1470, 98071, 83182, 29789, 13159, 1211, 1470, 75230, 4667, 1470, 98071, 56169, 98071, 38249, 16, 6, 98683, 141943, 44478, 21776, 148346, 4838, 119718, 90848, 2050, 6319, 33809, 2882, 59461, 4, 199145, 7369, 1470, 98071, 4852, 36909, 23173, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 1211, 23050, 159696, 1211, 4151, 3523, 98071, 2882, 123736, 36909, 710, 42180, 44478, 207748, 29659, 54260, 6093, 24464, 76961, 105235, 21338, 2648, 98071, 39340, 30109, 4113, 46685, 2451, 2808, 98071, 2442, 37826, 5332, 36909, 86733, 3496, 23173, 64260, 4113, 6235, 506, 40096, 4838, 152656, 6235, 36326, 159212, 32, 2451, 199145 ]

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

[ 21776, 2882, 1470, 98071, 2442, 4, 21776, 148346, 41764, 54260, 36419, 4667, 2451, 506, 64260, 9934, 98071, 4667, 4231, 114436, 4151, 128750, 54260, 2882, 874, 98071, 28320, 36909, 23173, 3131, 109636, 2882, 98071, 20911, 1211, 6, 76776, 16803, 2451, 2808, 98071, 4667, 151614, 148346, 1751, 75230, 1211, 6235, 10918, 49597, 16932, 2882, 4, 6, 97634, 46685, 6319, 33809, 63532, 1470, 98071, 164863, 98071, 2882, 5, 6, 107581, 119718, 25207, 6, 212484, 2882, 3523, 98071, 2882, 7508, 33809, 12483, 27, 2451, 3523, 33809, 4, 9424, 54260, 21295, 182731, 5, 95766, 874, 5, 2882, 4838, 6, 148346, 2442, 54260, 28320, 4, 220273, 7511, 49597, 2882, 6, 29766, 63593, 183718, 38249, 6, 163177, 119273, 4, 6, 23173, 29259, 100863, 54260, 2932, 16747, 98071, 4484, 10676, 119859, 69106, 17824, 54260, 46053, 6, 109636, 21733, 23050, 21295, 1470, 98071, 1211, 115222, 3131, 65482, 4, 37826, 7369, 3069, 31467, 8903, 8903, 148346, 1211, 12, 2451, 3069, 31467, 101470, 6, 148346, 208048, 40920, 5, 1470, 33809, 1211, 6, 148346, 98071, 21733, 21106, 207748, 4852, 98071, 40920, 98071, 4484, 5, 1470, 98071, 2442, 18583, 29659, 54260, 2882, 21106, 54260, 1211, 4, 36324, 1470, 98071, 2442, 119055, 29060, 874, 98071, 4667, 18583, 3131, 98071, 28320, 4, 119055, 29060, 1470, 98071, 2442, 4151, 36909, 33809, 1211, 1470, 75230, 4667, 6319, 54260, 1211, 506, 48904, 29771, 4113, 42493, 151614, 148346, 1211, 5, 39293, 2882, 81444, 4667, 1751, 75230, 1211, 21776, 148346, 4838, 119718, 90848, 2050, 4, 36324, 21776, 148346, 41764, 54260, 36419, 4667, 6, 212484, 2882, 9934, 98071, 4667, 7508, 54260, 35465, 4, 364, 26612, 2050, 6093, 6235, 36909, 33809, 49008, 18583, 3523, 75230, 2882, 98071, 4484, 6, 23173, 29259, 57619, 33809, 119718, 23173, 152656, 4838, 117902, 2442, 119055, 6093, 16932, 1470, 75230, 4667, 6, 159696, 15388, 119718, 29259, 16932, 2648, 98071, 39340, 6235, 36326, 159212, 1211, 2451, 159696, 15388, 4151, 6319, 33809, 24621, 16747, 98071, 75290, 6, 61397, 29060, 76632, 49597, 3131, 5, 2451, 30109, 4113, 46685, 1470, 98071, 13497, 6093, 13159, 98071, 61621, 9934, 98071, 4667, 3069, 31467, 163139, 49597, 46053, 2451, 506, 64260, 7369, 6235, 225975, 2882, 6, 238144, 4667, 2205, 119718, 98071, 14856, 4944, 98071, 28726, 6, 148346, 29060, 16747, 98071, 4484, 2451, 119718, 120467, 119055, 29060, 153585, 874, 98071, 2882, 4151, 3523, 29259, 6093, 6, 61397, 29060, 76632, 49597, 3131, 32, 2882, 98071, 16803, 2808, 24621, 119055, 29060, 1470, 98071, 2442, 81444, 4667, 1470, 33809, 16747, 4852, 119055, 29259, 16932, 1470, 75230, 4667, 3523, 98071, 2882, 18583, 212484, 1211, 5, 2442, 33809, 4944, 98071, 2050, 29771, 119718, 98071, 48253, 6, 236376, 4838, 36909, 98071, 28726, 3523, 98071, 2882, 17824, 75230, 2702, 3069, 31467, 6, 234221, 9934, 98071, 4667, 1470, 33809, 1211, 41764, 48775, 159696, 1211, 2808, 98071, 148346, 6093, 98071, 39340, 67826, 49597, 4484, 874, 98071, 2882, 1285, 49597, 30109, 4113, 46685, 2451, 6093, 1470, 98071, 4852, 6, 57277, 39340, 7369, 4, 123736, 148346, 6093, 215594, 1470, 98071, 2442, 90848, 4667, 4, 7369, 21776, 2882, 874, 98071, 2882, 220224, 4, 163139, 4838, 34076, 29259, 104238, 42542, 18225, 6, 225975, 1211, 4, 1470, 33809, 1211, 6, 35596, 36909, 77188, 6235, 36326, 159212, 44779, 1470, 33809, 1211, 3069, 31467, 4151 ]

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

[ 6, 170355, 4667, 12, 2451, 4838, 16175, 54260, 1644, 1054, 29060, 18225, 874, 33809, 56880, 120202, 8903, 148346, 1211, 4151, 48277, 33809, 107581, 5, 874, 98071, 2442, 194885, 1211, 6, 148346, 26612, 1470, 98071, 2442, 1470, 98071, 1211, 15529, 364, 35596, 5, 95455, 1470, 98071, 148346, 6093, 98071, 39340, 151614, 148346, 1470, 98071, 4667, 1470, 29259, 4667, 1470, 98071, 1211, 9934, 98071, 49008, 5, 4838, 119718, 23173, 4113, 4, 4838, 119718, 93704, 4113, 38, 119718, 120467, 125523, 6, 148346, 1644, 29259, 148346, 2882, 81444, 1470, 98071, 148346, 6093, 18583, 4838, 119718, 90848, 51723, 4, 1470, 75230, 101608, 120202, 94741, 20260, 12483, 32, 2648, 120467, 16175, 33809, 2882, 7369, 874, 98071, 28320, 3523, 48904, 64213, 364, 23173, 64213, 4, 1470, 33809, 1211, 21776, 148346, 41764, 54260, 36419, 4667, 3523, 54260, 2882, 4838, 159696, 4484, 5, 21776, 148346, 22426, 54260, 36419, 12984, 42572, 13845, 2882, 3523, 98071, 2882, 6319, 29259, 1211, 6319, 137377, 13982, 54260, 76632, 49597, 3131, 1470, 98071, 1211, 4269, 59929, 4, 1470, 98071, 148346, 150839, 75230, 22426, 2882, 6, 57277, 39340, 874, 98071, 23822, 12, 41764, 75230, 6093, 98071, 2050, 5, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 2451, 2648, 120467, 1470, 98071, 4852, 133190, 6, 47351, 4838, 83182, 1470, 75230, 28726, 2050, 4, 1470, 33809, 1211, 874, 98071, 2882, 4852, 54260, 6, 94741, 63020, 18225, 163139, 49597, 46053, 4, 163139, 49597, 3069, 31467, 42572, 98071, 61621, 27, 6, 64260, 37826, 7369, 1470, 98071, 8300, 16932, 47833, 1470, 54260, 2702, 37016, 874, 98071, 57277, 46711, 129071, 29766, 4, 199145, 6, 48775, 119718, 39340, 163139, 49597, 67873, 1470, 98071, 2050, 3069, 31467, 101470, 1285, 49597, 123736, 25207, 24621, 5, 6, 87311, 21295, 1470, 29259, 4667, 4, 6093, 37826, 220224, 1751, 75230, 1211, 17288, 104238, 45223, 159212, 1470, 98071, 148346, 6093, 61397, 29060, 12, 2451, 3069, 31467, 199145, 4, 42572, 25207, 2932, 1470, 98071, 4667, 6, 148346, 26612, 1470, 29259, 4667, 2451, 506, 64260, 7369, 874, 98071, 2882, 220224, 6, 23173, 29259, 5666, 8903, 57277, 71512, 2882, 7961, 506, 64260, 9934, 98071, 4667, 1470, 29259, 4667, 18583, 21847, 33809, 16803, 36324, 13845, 107581, 6, 170355, 12984, 4, 199145, 1470, 98071, 2442, 119055, 29060, 3523, 98071, 2882, 51678, 148346, 26612, 506, 75230, 148346, 1211, 32, 3069, 31467, 199145, 4, 42572, 25207, 2932, 1470, 98071, 4667, 6, 148346, 26612, 1470, 29259, 4667, 4, 6428, 23173, 159212, 1470, 98071, 2442, 7508, 33809, 38249, 1470, 29259, 123073, 506, 13845, 2648, 168155, 1470, 98071, 1211, 167048, 98071, 21733, 42572, 33809, 1211, 1285, 49597, 3496, 75230, 159696, 2702, 6, 23173, 29259, 1211, 32, 123736, 25207, 24621, 657, 29259, 2882, 9934, 29259, 13497, 1470, 98071, 2442, 32, 101328, 5, 1470, 98071, 2442, 119055, 29060, 9934, 98071, 4667, 81444, 4667, 6319, 29259, 1211, 874, 39083, 3523, 98071, 2882, 1470, 75230, 2702, 8300, 39083, 1211, 5, 36324, 2181, 119055, 29060, 6319, 33809, 51723, 3069, 31467, 2050, 8300, 39083, 1211, 4, 874, 54260, 13497, 1470, 98071, 2442, 4, 36324, 14856, 119055, 29060, 1470, 29259, 4667, 6319, 33809, 38249, 1470, 98071, 1211, 1285, 49597, 9424, 54260, 59461, 32, 3523, 54260, 1211, 4, 14856, 6, 159696, 96256, 29259, 4667, 1470, 98071, 1211, 1285, 49597, 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 ]

[ 54260, 59461, 3523, 98071, 2882, 6319, 33809, 38249, 27, 6093, 37826, 220224, 4269, 33809, 2882, 132025, 8903, 25391, 218241, 1211, 27, 7369, 37826, 220224, 4838, 6293, 36324, 75230, 36909, 98071, 1644, 132025, 8903, 25391, 218241, 1211, 4, 165592, 4, 6319, 48775, 8300, 16747, 98071, 4484, 9934, 98071, 4667, 1470, 98071, 1211, 1285, 49597, 117902, 2882, 98071, 1644, 98071, 26394, 2702, 4, 194885, 1211, 220224, 163139, 49597, 35189, 4838, 159696, 4484, 6, 148346, 26612, 710, 236376, 1211, 9934, 98071, 4667, 5, 364, 29259, 13497, 6, 159696, 67873, 220224, 6235, 119718, 98071, 2702, 6, 113889, 4944, 75322, 39083, 6319, 33809, 51723, 5, 874, 33809, 4852, 21776, 148346, 41764, 54260, 36419, 4667, 101296, 12984, 36324, 75230, 4, 36324, 3069, 31467, 4151, 9424, 29259, 2882, 4, 119055, 12483, 220224, 6, 159696, 67873, 6319, 33809, 51723, 4, 170479, 1751, 54260, 1211, 153585, 145813, 29060, 5, 35189, 8300, 33809, 874, 33809, 4852, 7369, 6, 148346, 21106, 2648, 6, 23173, 75230, 49268, 33809, 152656, 1285, 49597, 6, 148346, 26612, 147713, 33809, 36909, 98071, 2050, 1470, 98071, 1211, 6, 88660, 137377, 6093, 40096, 98071, 119718, 5, 4046, 22426, 54260, 36419, 40377, 119055, 29259, 148346, 4, 1285, 49597, 6235, 159696, 4852, 65482, 1751, 75230, 4944, 29060, 39340, 3496, 48904, 20616, 76632, 4113, 4, 37826, 163139, 49597, 35189, 8903, 506, 40096, 1470, 98071, 2442, 9934, 29766, 2932, 4838, 152656, 6319, 137377, 5, 6319, 75230, 2050, 1470, 98071, 4852, 6235, 159696, 1211, 125523, 41764, 33809, 2442, 98071, 2050, 4, 37826, 18225, 1751, 75230, 1211, 8903, 24621, 98833, 132025, 506, 75230, 148346, 1211, 6, 236376, 1211, 6, 159696, 49209, 41764, 54260, 36419, 4667, 5, 1285, 49597, 141879, 6, 101328, 61621, 37826, 3496, 48904, 20616, 76632, 4113, 6, 21106, 54260, 1211, 3523, 98071, 2882, 6, 148346, 93704, 23173, 159212, 6, 23173, 148346, 213783, 4, 9934, 98071, 37826, 6235, 234221, 4838, 1285, 49597, 16667, 2882, 4, 163139, 49597, 47351, 37922, 13159, 4113, 67882, 94741, 2050, 4, 1470, 33809, 1211, 42572, 33809, 16747, 119273, 159696, 15388, 37826, 9934, 98071, 9934, 98071, 4667, 4838, 152656, 137, 22426, 75230, 6093, 81829, 6319, 137377, 155, 2451, 26612, 46050, 49597, 119364, 42572, 33809, 1211, 4838, 6, 113889, 35596, 1211, 81444, 63020, 2451, 4484, 54260, 5666, 2865, 39083, 1470, 98071, 1211, 6319, 54260, 1211, 6, 170355, 4667, 3523, 98071, 2882, 18583, 212484, 96256, 33809, 1211, 1470, 33809, 107182, 33809, 2050, 37826, 9934, 98071, 9934, 98071, 4667, 6, 150349, 48775, 159696, 2882, 6, 21106, 54260, 1211, 5, 119055, 6093, 6, 238144, 16803, 54745, 1211, 3523, 98071, 2882, 4, 199145, 23173, 148346, 29060, 8947, 16175, 33809, 2882, 9934, 98071, 4667, 1470, 98071, 1211, 4838, 43649, 33809, 148346, 4, 1470, 33809, 1211, 18583, 41764, 54260, 36419, 4667, 1470, 98071, 148346, 150839, 75230, 22426, 2882, 32, 874, 54260, 28726, 4, 8903, 16747, 4852, 43649, 54260, 12483, 1751, 75230, 1211, 1470, 98071, 1211, 43649, 13845, 10813, 1470, 33809, 1211, 43649, 137377, 1211, 9934, 98071, 4667, 292, 1751, 75230, 1211, 1470, 54260, 5666, 87311, 122868, 141943, 4852, 38, 123736, 148346, 6093, 874, 98071, 2882, 6235, 16747, 4852, 6, 21106, 54260, 1211, 67882, 40920, 18225, 10676, 41764, 54260, 36419, 4667, 32, 1470, 98071, 4852, 18583, 47351, 170355, 12984, 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 ]

[ 199145, 18225, 42542, 125523, 120202, 1644, 54260, 15388, 4, 163139, 49597, 17190, 87311, 31249, 4, 67882, 26394, 6, 148346, 92605, 1211, 5, 123736, 148346, 6093, 18583, 47351, 165592, 13845, 107581, 6, 170355, 12984, 4, 199145, 14856, 6319, 68558, 1751, 75230, 1211, 28415, 3523, 98071, 2882, 120202, 1644, 54260, 15388, 4, 17190, 87311, 31249, 4, 6, 148346, 113889, 2648, 98071, 2050, 5, 4944, 48904, 20616, 76632, 4113, 37826, 42572, 29259, 13497, 1285, 49597, 18583, 31249, 29771, 36909, 65482, 6, 148346, 2442, 33809, 98071, 2050, 4, 199145, 4838, 128750, 98071, 6093, 620, 29771, 152656, 220224, 2808, 33809, 1211, 4151, 113889, 4667, 4269, 98071, 148346, 1211, 220224, 9934, 98071, 4667, 4838, 3496, 71577, 12, 3496, 71577, 1644, 71577, 4, 119055, 12483, 76961, 9915, 29259, 35189, 1470, 33809, 1211, 9915, 29259, 35189, 4484, 13159, 194885, 1211, 1751, 75230, 1211, 18583, 3111, 31467, 51723, 2451, 119718, 120467, 18583, 4838, 4269, 33809, 125830, 42542, 6, 23173, 75230, 95564, 33809, 51723, 42572, 33809, 1211, 2808, 29259, 1644, 76632, 49597, 3131, 32, 37826, 3496, 48904, 20616, 76632, 4113, 120202, 59461, 29060, 874, 98071, 2882, 4151, 9915, 29259, 35189, 39340, 4838, 6293, 364, 29259, 13497, 8300, 33809, 8300, 33809, 3131, 5666, 29259, 35465, 4, 37826, 9934, 98071, 1751, 75230, 1211, 6235, 506, 40096, 132025, 23269, 50856, 54260, 2882, 10676, 112216, 4484, 1751, 97634, 6293, 4838, 152656, 16175, 98071, 3131, 4, 2451, 2808, 33809, 1211, 55242, 141943, 98071, 4484, 4, 1054, 98071, 119055, 13845, 119718, 1644, 37826, 9934, 98071, 4667, 6235, 3111, 31467, 51723, 3069, 31467, 3131, 80453, 54260, 28320, 4838, 6293, 4151, 117902, 2648, 203749, 63593, 98071, 2882, 153585, 657, 29259, 119718, 13497, 4, 1470, 33809, 1211, 7369, 37826, 8947, 6235, 3111, 31467, 51723, 3069, 31467, 21733, 71577, 1211, 874, 98071, 2882, 6, 48253, 159696, 4484, 44779, 4, 1470, 33809, 2050, 25616, 98071, 30741, 2648, 98071, 4484, 4838, 6293, 1285, 49597, 136645, 49597, 1470, 98071, 148346, 6093, 4151, 7369, 2648, 4, 37826, 9934, 98071, 6235, 225975, 2882, 6, 47351, 1470, 33809, 69708, 33809, 128750, 98071, 2648, 65482, 12, 2451, 55242, 133190, 4, 7508, 33809, 151614, 16803, 874, 98071, 2442, 125523, 81444, 23050, 36909, 13845, 2882, 874, 98071, 2882, 6428, 29259, 23269, 657, 29259, 119718, 13497, 5, 2808, 33809, 1211, 6, 148346, 21106, 2648, 37826, 9934, 98071, 1470, 98071, 2050, 6235, 3111, 31467, 51723, 120202, 29659, 33809, 22426, 1211, 199145, 119055, 29259, 16932, 3069, 31467, 4151, 119718, 84577, 12, 2451, 7508, 33809, 4484, 9934, 98071, 4667, 4, 7508, 33809, 4484, 9934, 98071, 4667, 4, 9934, 29259, 874, 75230, 10813, 4, 199145, 119055, 29259, 16932, 3069, 31467, 4151, 119055, 84577, 27, 6, 64260, 165592, 75230, 4, 125523, 4838, 148346, 98071, 35044, 4, 125523, 4838, 148346, 98071, 35044, 27, 6, 148346, 21106, 2648, 6, 94741, 63020, 6319, 33809, 51723, 1285, 49597, 9915, 29259, 35189, 39340, 1470, 33809, 1211, 119718, 33809, 119055, 13845, 1470, 98071, 4667, 9934, 98071, 4667, 81444, 51678, 4838, 6, 75290, 160204, 32, 29771, 148346, 6093, 10676, 42572, 59929, 68558, 37826, 3496, 48904, 20616, 76632, 4113, 3523, 98071, 2882, 1470, 75230, 2702, 8903, 234221, 4, 1470, 33809, 1211, 207748, 23093, 64260, 9934, 98071, 6235, 2865, 33809, 4852, 2882, 6, 23173, 75230, 2702 ]

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

[ 119718, 29259, 56880, 1285, 49597, 14779, 113889, 4113, 4, 199145, 9934, 98071, 37826, 42572, 33809, 1211, 1470, 98071, 2442, 6, 212915, 874, 98071, 2882, 4852, 29259, 23269, 1470, 33809, 159212, 33809, 12483, 12, 2451, 123736, 148346, 6093, 7369, 6, 212484, 2882, 3523, 98071, 2882, 6428, 33809, 81455, 6319, 29259, 1211, 1470, 54260, 1211, 6, 101328, 194734, 119718, 220224, 53414, 4, 1470, 33809, 1211, 6, 150839, 98071, 2882, 2181, 120202, 4, 163139, 49597, 4838, 6, 128750, 33809, 46685, 4231, 98071, 2648, 95455, 6, 94741, 119718, 49008, 5, 199145, 1470, 98071, 4852, 1751, 75230, 1211, 6428, 99766, 1211, 148346, 26612, 1470, 29259, 4667, 163139, 49597, 35189, 32, 657, 29771, 2865, 98071, 4667, 1470, 75230, 4667, 163139, 49597, 46053, 5, 2451, 4838, 6, 48775, 93975, 151614, 80885, 4, 67882, 24621, 4, 292, 874, 98071, 2702, 97634, 24621, 6, 94741, 63020, 18225, 95455, 151614, 148346, 1211, 8300, 33809, 2050, 6235, 36326, 159212, 5, 36324, 4151, 16175, 174121, 364, 54260, 16803, 193178, 4, 178748, 16803, 33809, 9934, 98071, 4667, 18583, 212484, 1211, 5, 2451, 1470, 33809, 1211, 119055, 6093, 8947, 6, 94741, 63020, 7746, 6, 101328, 7508, 33809, 38249, 292, 37826, 81444, 119055, 13845, 119718, 1644, 6235, 36909, 33809, 49008, 6, 47351, 99766, 4838, 6293, 6, 23173, 137377, 8300, 33809, 2442, 29259, 46053, 153585, 6319, 59929, 42572, 33809, 1211, 4151, 4231, 98071, 23405, 6093, 6093, 1751, 159696, 82576, 6, 128750, 54260, 2648, 5, 1644, 12483, 292, 1470, 98071, 4852, 95455, 6, 64260, 1285, 49597, 112216, 23269, 20260, 4113, 5, 7508, 33809, 4484, 9934, 98071, 4667, 4, 9934, 29259, 874, 75230, 10813, 38, 292, 37826, 7369, 9934, 98071, 506, 4113, 159212, 506, 4838, 43649, 75230, 2702, 6235, 97634, 1211, 874, 98071, 28320, 43649, 33809, 1644, 4, 4838, 6293, 119055, 13845, 107581, 9934, 98071, 1470, 98071, 4852, 6235, 39293, 46053, 6, 76776, 49209, 3768, 119718, 29259, 2882, 42572, 33809, 1211, 153585, 657, 29259, 119718, 13497, 1470, 33809, 1211, 1470, 98071, 83182, 63593, 13159, 1211, 37826, 9934, 98071, 1470, 98071, 2050, 133190, 7511, 49597, 2882, 74806, 16932, 2882, 4, 165592, 9934, 98071, 1470, 98071, 4852, 1751, 98071, 2442, 3523, 98071, 2882, 6, 23173, 137377, 8903, 36909, 21106, 1211, 4838, 6293, 4151, 7369, 2648, 4, 1470, 33809, 1211, 4838, 6293, 3069, 31467, 137, 36909, 23173, 148346, 29259, 46053, 155, 506, 64260, 7369, 125523, 3069, 31467, 5666, 65482, 148346, 1211, 292, 4852, 98071, 657, 48350, 2882, 1751, 75230, 1211, 4838, 6, 148346, 33809, 4667, 4, 657, 48350, 2882, 9934, 98071, 1751, 75230, 1211, 42572, 33809, 1211, 193042, 24621, 2808, 98071, 83182, 128750, 98071, 292, 1285, 49597, 14857, 98071, 26394, 2050, 163139, 49597, 4944, 29771, 119718, 48904, 4484, 109316, 292, 1470, 33809, 1211, 1285, 49597, 874, 174121, 6, 94741, 63020, 6, 23173, 148346, 213783, 4838, 6293, 1470, 98071, 2442, 5, 9934, 98071, 27855, 63532, 9934, 98071, 4667, 220273, 7511, 49597, 2882, 5, 2648, 120467, 1470, 98071, 4852, 6235, 159696, 1211, 215031, 3373, 98071, 23269, 42572, 33809, 1211, 119055, 13845, 119718, 1644, 12483, 3069, 31467, 4151, 1751, 159696, 82576, 4, 199145, 6093, 37826, 6, 21106, 54260, 1211, 3523, 98071, 2882, 6235, 119718, 33809, 16803, 4, 42572, 33809, 5666, 119718, 48904, 12483, 9934, 98071, 235466 ]

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

[ 9934, 98071, 4667, 5, 123736, 148346, 6093, 1285, 49597, 3373, 98071, 23269, 2808, 98071, 4852, 6235, 159696, 1211, 4838, 16175, 98071, 36909, 4113, 1470, 33809, 1211, 4838, 18583, 148346, 98071, 2702, 65482, 4, 199145, 42572, 147713, 2882, 9934, 98071, 4667, 6, 23173, 75230, 49268, 29259, 46053, 6, 148346, 26612, 17645, 35189, 6, 151227, 43178, 5927, 29259, 2882, 5, 1470, 33809, 1211, 28415, 3523, 98071, 2882, 199145, 3496, 48904, 20616, 76632, 4113, 4, 199145, 1470, 98071, 2442, 1470, 98071, 4852, 17645, 35189, 6319, 98071, 16747, 6235, 159696, 1211, 4838, 6319, 98071, 16747, 4, 42572, 1644, 35596, 1470, 98071, 2050, 76961, 2865, 39083, 120202, 234221, 12, 2451, 3523, 33809, 4, 6235, 3111, 31467, 2932, 1751, 75230, 1211, 4, 6235, 3111, 31467, 2932, 1751, 75230, 1211, 5, 9934, 98071, 6, 119273, 6, 90848, 4667, 3523, 98071, 2882, 6428, 29259, 23269, 5, 6, 95494, 4, 6, 94741, 40920, 4852, 98071, 4667, 4, 6, 90848, 39293, 43649, 54260, 2882, 1470, 33809, 2442, 5, 2451, 2808, 33809, 1211, 3069, 31467, 5666, 54260, 141943, 98071, 4484, 3069, 31467, 2050, 6, 159696, 177282, 4, 37826, 9934, 98071, 132025, 190135, 1470, 98071, 25207, 1470, 75230, 53414, 4, 9424, 98071, 2181, 364, 77188, 9934, 98071, 4667, 5332, 22426, 13159, 5, 2808, 98071, 1211, 4151, 874, 98071, 3111, 31467, 2882, 1470, 98071, 4852, 6, 23173, 29259, 1211, 1285, 49597, 9915, 29259, 35189, 39340, 12, 2451, 199145, 16175, 33809, 16803, 33809, 4, 119055, 13845, 119718, 1644, 32, 6428, 33809, 874, 39083, 16803, 18583, 1285, 49597, 6, 23173, 148346, 4113, 16932, 32, 76961, 236376, 1211, 1470, 98071, 8300, 16932, 6, 159696, 15388, 1285, 49597, 6, 23173, 148346, 4113, 16932, 5, 29771, 148346, 6093, 42572, 33809, 1211, 1470, 98071, 2442, 1470, 75230, 2932, 1470, 98071, 4852, 3523, 98071, 2882, 4838, 177282, 29771, 152656, 1470, 75230, 4667, 3496, 48904, 20616, 76632, 4113, 4, 27702, 178107, 65482, 1470, 98071, 4852, 1751, 75230, 1211, 23050, 159696, 16803, 120202, 23269, 5666, 48904, 49008, 42572, 33809, 1211, 4151, 6, 159696, 177282, 4838, 6293, 4838, 117902, 2442, 81414, 49597, 2882, 4, 2808, 33809, 1211, 1470, 75230, 4667, 81444, 37826, 1285, 49597, 9915, 29259, 35189, 39340, 6235, 506, 40096, 3069, 31467, 9934, 171433, 1211, 1470, 98071, 2442, 119055, 99766, 12, 2451, 4838, 79981, 6, 159696, 49209, 4151, 6, 97634, 4944, 16932, 32, 6, 64260, 22753, 13497, 1470, 98071, 2442, 95455, 4838, 364, 54260, 36419, 6, 2050, 174121, 5, 57277, 39340, 73095, 78683, 23269, 3069, 31467, 153585, 5, 215594, 133190, 4, 1470, 98071, 2442, 37826, 133190, 18583, 105235, 21295, 1285, 49597, 16175, 98071, 70598, 98071, 2882, 4151, 6, 95494, 36909, 4113, 5, 163139, 49597, 9934, 36326, 3523, 54260, 2882, 18225, 6, 23173, 29259, 1211, 32, 2451, 874, 98071, 2442, 151614, 148346, 1211, 1470, 75230, 2702, 8903, 506, 129071, 4838, 16175, 98071, 2442, 42572, 33809, 1211, 6319, 29766, 98071, 2648, 29766, 5, 2451, 36324, 75230, 27, 199145, 9934, 36326, 67882, 40920, 9934, 98071, 5332, 22426, 13159, 4, 6, 90848, 39293, 32, 5332, 36909, 16932, 18583, 240863, 12483, 9934, 98071, 4667, 3131, 75230, 1211, 4, 3523, 54260, 1211, 32, 2451, 133190, 38, 364, 29259, 13497, 98071, 39340, 115374, 27, 9934, 98071, 6, 236376, 125523, 220273, 7511 ]

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

[ 49597, 2882, 5, 220224, 235311, 94741, 4667, 7508, 174121, 159696, 1211, 1285, 49597, 6, 159696, 21295, 5, 119055, 12483, 151614, 148346, 1211, 220224, 9424, 29259, 2882, 32, 6, 101328, 4, 1470, 98071, 4852, 874, 37016, 75230, 4113, 4667, 1285, 49597, 3131, 97634, 6293, 4, 292, 37826, 1751, 75230, 1211, 3496, 48904, 20616, 76632, 4113, 6235, 119718, 39083, 2882, 6, 23173, 98071, 148346, 6093, 2932, 54260, 1211, 3069, 31467, 2050, 1470, 54260, 105405, 28726, 12984, 2808, 9416, 12483, 12, 292, 1285, 49597, 1751, 97634, 6293, 1470, 98071, 4852, 1751, 75230, 1211, 132025, 8903, 23847, 54260, 2882, 5, 3523, 98071, 2882, 4838, 6, 98055, 4838, 6293, 6, 48253, 98071, 78683, 159696, 2702, 5, 2451, 42493, 292, 37826, 23050, 4852, 29771, 13497, 1285, 49597, 9915, 29259, 35189, 39340, 5, 1285, 49597, 1751, 97634, 6293, 119055, 29060, 8248, 6, 57277, 39340, 26612, 6319, 33809, 4484, 160204, 4, 123736, 148346, 6093, 9934, 98071, 37826, 125523, 4838, 163139, 49597, 40920, 98071, 39340, 6, 170355, 4667, 3069, 31467, 4151, 8300, 54260, 67873, 12, 2451, 6, 64260, 4, 9934, 29771, 13497, 1470, 98071, 2442, 4, 1285, 49597, 6, 159696, 21295, 27, 1285, 49597, 6, 159696, 21295, 1470, 98071, 4852, 6, 57277, 39340, 4838, 6, 159696, 21295, 4, 123736, 148346, 6093, 64260, 37826, 9934, 98071, 4667, 67882, 142170, 21776, 2050, 6, 90848, 146873, 69452, 163139, 49597, 35189, 23050, 101296, 40920, 6, 47351, 4838, 148346, 99766, 5, 2451, 42572, 33809, 5666, 119718, 48904, 12483, 6, 238144, 16803, 1470, 98071, 2442, 95455, 6, 21106, 7611, 32, 2451, 42572, 33809, 5666, 119718, 48904, 12483, 1470, 98071, 4667, 6, 238144, 2702, 32, 1470, 98071, 4667, 6, 238144, 2702, 6, 21106, 7611, 5, 123736, 4, 1285, 49597, 1751, 97634, 6293, 1470, 98071, 4852, 6, 90848, 4667, 220273, 26612, 4269, 33809, 18415, 1751, 97634, 6293, 5, 6, 64260, 36324, 75230, 151614, 148346, 1470, 98071, 4667, 657, 98071, 148346, 4, 36324, 14856, 6, 48775, 63020, 9934, 98071, 4667, 3523, 98071, 2882, 9915, 29259, 35465, 7508, 5, 36909, 98071, 23405, 6093, 1470, 98071, 148346, 6093, 4838, 42572, 77188, 1644, 4838, 93509, 98071, 1211, 5, 221895, 6, 101470, 36324, 75230, 4, 36324, 8947, 1470, 98071, 4852, 6319, 54260, 2050, 7682, 75230, 2050, 27, 133190, 4269, 33809, 18415, 1751, 97634, 6293, 5, 119055, 33809, 37826, 1470, 98071, 2442, 95455, 6, 148346, 92605, 33809, 51723, 36324, 13845, 107581, 32, 37271, 21106, 7611, 6, 94741, 63020, 9934, 98071, 163139, 49597, 46053, 4, 1285, 49597, 6, 21106, 18415, 874, 75230, 2648, 155, 2451, 506, 64260, 4838, 6, 148346, 2442, 33809, 2050, 23050, 97634, 1211, 119055, 13845, 119718, 1644, 4, 46685, 3523, 98071, 2882, 199145, 8947, 1470, 98071, 4852, 1470, 98071, 2050, 3523, 98071, 2882, 6235, 147713, 1211, 1470, 98071, 1211, 6319, 137377, 6, 23173, 29259, 57619, 33809, 2865, 98071, 81829, 9934, 98071, 4667, 5, 29771, 148346, 6093, 3496, 48904, 20616, 76632, 4113, 1470, 98071, 4852, 6, 94741, 119718, 39340, 3069, 31467, 128750, 98071, 35465, 3069, 31467, 4151, 8300, 54260, 67873, 12, 36324, 3523, 64260, 37826, 1470, 98071, 45629, 33809, 36909, 59461, 98071, 40920, 4, 18583, 199145, 3523, 98071, 2882, 32, 2451, 95455, 1470, 98071, 4852, 42572, 33809, 1211, 1470, 33809, 16747, 168155, 1470, 54260 ]

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

[ 8903, 119132, 6, 88660, 137377, 6093, 40096, 98071, 119718, 4, 292, 37826, 874, 98071, 2882, 48904, 98071, 159696, 2702, 2648, 98071, 38249, 1470, 33809, 1211, 620, 91595, 18583, 148346, 26612, 506, 186955, 65482, 2050, 43649, 39083, 7611, 3523, 98071, 2882, 6235, 101296, 40920, 6319, 29259, 1211, 159696, 56880, 4151, 36909, 33809, 1211, 3496, 48904, 20616, 76632, 4113, 4, 292, 1751, 97634, 6293, 1470, 98071, 4852, 6235, 3111, 31467, 2932, 4, 170479, 2882, 1470, 98071, 2442, 6, 57277, 39340, 193178, 7511, 49597, 2882, 3069, 31467, 19302, 54260, 1211, 4, 4151, 98071, 75290, 4, 3523, 98071, 2882, 18583, 128540, 27, 2451, 42542, 18225, 6, 23173, 137377, 101470, 4838, 874, 120467, 4, 1470, 75230, 148346, 36324, 75230, 32, 292, 1470, 98071, 1211, 1751, 75230, 1211, 17824, 54260, 2882, 8903, 159696, 1211, 1285, 9915, 29259, 35189, 39340, 3069, 31467, 3069, 31467, 186145, 28320, 3069, 31467, 4151, 6, 23173, 148346, 29060, 5, 2451, 4838, 119718, 93704, 4113, 4, 4838, 119718, 93704, 4113, 4, 2451, 506, 64260, 9934, 98071, 4667, 6235, 2808, 29259, 21295, 7508, 48904, 20616, 76632, 4113, 5, 2451, 1470, 98071, 8300, 16932, 4, 6, 128750, 54260, 2648, 109316, 4, 6319, 33809, 2050, 6428, 33809, 4838, 506, 6093, 4, 292, 37826, 9934, 98071, 4667, 120202, 61397, 33809, 152656, 1285, 3131, 5666, 29259, 35189, 39340, 3069, 31467, 4151, 611, 710, 29766, 98071, 75290, 6, 97634, 4944, 16932, 3496, 48904, 20616, 76632, 13159, 4, 199145, 1470, 98071, 4852, 125523, 21106, 7611, 6235, 39293, 46053, 1470, 98071, 1211, 163139, 49597, 177243, 42572, 33809, 1211, 43649, 33809, 148346, 4, 193042, 24621, 6, 148346, 29259, 2050, 1470, 75230, 119718, 1211, 4, 6, 23173, 29259, 23405, 29060, 68558, 1470, 98071, 1211, 26612, 6, 148346, 98071, 10813, 292, 6, 225975, 4, 163139, 49597, 36324, 75230, 170479, 1470, 98071, 4667, 1285, 49597, 2442, 193178, 12, 874, 98071, 2882, 6319, 33809, 2442, 26394, 6, 23173, 148346, 1644, 32, 6, 2050, 5, 21338, 48904, 8903, 32, 1470, 98071, 56169, 4269, 54260, 2882, 18225, 874, 98071, 2882, 657, 141847, 123073, 5, 2451, 6, 49268, 1470, 98071, 4852, 6, 21106, 8300, 54260, 16667, 4, 2451, 506, 64260, 23050, 4852, 29771, 13497, 6, 128750, 54260, 55546, 4, 3523, 98071, 2882, 120202, 2442, 29259, 2702, 16747, 98071, 4484, 9934, 98071, 4667, 36909, 33809, 1211, 6, 148346, 98071, 10813, 5, 1982, 48904, 20616, 76632, 4113, 12, 874, 98071, 2882, 1470, 98071, 2442, 1470, 98071, 4852, 3523, 98071, 97634, 199145, 3069, 31467, 7508, 54260, 35465, 5, 193042, 40920, 1470, 98071, 2442, 119718, 98071, 1285, 49597, 6, 87311, 20315, 1470, 98071, 4852, 5, 36324, 75230, 163139, 49597, 4838, 67882, 2932, 23269, 2882, 4, 6, 48775, 4944, 87311, 151227, 98071, 34709, 47351, 27, 3523, 98071, 2882, 6, 71577, 18250, 29259, 46053, 27, 36909, 33809, 1211, 1470, 98071, 2442, 9424, 98071, 46685, 1470, 98071, 4852, 874, 98071, 2882, 4838, 6235, 71804, 36419, 119132, 6, 240863, 6, 23173, 29259, 5666, 8903, 2932, 48904, 49008, 1285, 49597, 895, 16932, 4113, 6, 97634, 4944, 16932, 7508, 33809, 4944, 98071, 2050, 2808, 119718, 98071, 153222, 2702, 292, 6, 90848, 39293, 4, 123736, 148346, 6093, 1751, 75230, 1211, 3523, 98071, 2882, 7508, 33809, 15949, 64659, 29771, 119718, 98071, 48253, 4 ]

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

[ 133190, 1285, 49597, 14857, 98071, 7611, 292, 1285, 49597, 3523, 98071, 2882, 6, 71804, 23405, 3496, 59929, 65482, 23269, 506, 174121, 6, 97634, 4944, 16932, 6, 90848, 39293, 109636, 226112, 119718, 23269, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 5, 874, 98071, 28320, 6, 148346, 71804, 95564, 42572, 33809, 1211, 1470, 98071, 25207, 657, 98071, 40920, 98071, 39340, 4, 1470, 75230, 2702, 8903, 31249, 29771, 36909, 65482, 1470, 75230, 15388, 37826, 9934, 98071, 4838, 42572, 98071, 2442, 6235, 97634, 1211, 1470, 98071, 148346, 53414, 43649, 33809, 148346, 1470, 33809, 1211, 37826, 9934, 98071, 4667, 120202, 23269, 5, 105235, 21295, 4838, 6293, 3496, 48904, 20616, 76632, 12483, 4, 119055, 13845, 107581, 37826, 1470, 98071, 2442, 6235, 35596, 36909, 77188, 874, 98071, 2882, 4838, 9934, 48340, 5, 36909, 13845, 2882, 98071, 38249, 67882, 24621, 81829, 6, 148346, 1644, 98071, 4484, 12, 2451, 6, 148346, 98071, 16803, 1751, 75230, 1211, 1470, 33809, 36909, 8903, 3131, 57277, 49008, 4, 6, 97634, 4944, 16932, 32, 199145, 151614, 16803, 33809, 9934, 98071, 4667, 3069, 8903, 2808, 29259, 21295, 32, 2451, 36324, 75230, 4, 8947, 620, 29771, 159212, 9934, 98071, 4667, 3523, 98071, 2882, 4, 292, 37826, 6235, 225975, 2882, 6, 90848, 39293, 4, 163139, 49597, 4838, 6, 76776, 16803, 36909, 33809, 1211, 133190, 6, 47351, 4838, 83182, 6, 159696, 21295, 4838, 6235, 4484, 33809, 2865, 65482, 12, 292, 6, 148346, 29766, 98071, 2702, 1470, 98071, 4852, 6, 128750, 98071, 4838, 159696, 4484, 1470, 98071, 1211, 2808, 33809, 88660, 2050, 5, 874, 98071, 16803, 64260, 4113, 119055, 29060, 7369, 9934, 98071, 4667, 364, 29259, 13497, 6, 148346, 26612, 8300, 29259, 2882, 16667, 1470, 33809, 74813, 53414, 5, 6, 94741, 63020, 18225, 104149, 4, 4151, 874, 98071, 2882, 98071, 4484, 170479, 3523, 98071, 2882, 18583, 3131, 109636, 2882, 98071, 38249, 5, 2648, 98071, 9915, 29259, 35189, 39340, 37826, 1751, 119718, 29259, 2932, 16747, 98071, 4484, 6235, 119718, 23173, 2882, 4, 123736, 148346, 6093, 9934, 98071, 37826, 1751, 75230, 1211, 6235, 119718, 33809, 16803, 4, 36324, 6, 148346, 21106, 2648, 119055, 29060, 9934, 98071, 7508, 54260, 35465, 5, 4151, 9915, 29259, 35189, 39340, 37826, 1751, 75230, 1211, 6, 71804, 23405, 6235, 148346, 2442, 35596, 4, 199145, 4838, 16175, 54260, 1644, 42572, 33809, 1211, 1470, 98071, 25207, 3496, 59929, 65482, 148346, 2932, 142429, 98071, 2050, 37826, 9934, 98071, 4667, 6, 90848, 39293, 6235, 5666, 54260, 2882, 148346, 26612, 1470, 98071, 2442, 192183, 4484, 33809, 2442, 35596, 39340, 4, 7508, 6093, 9424, 238144, 16932, 4269, 33809, 16932, 9915, 29259, 35189, 39340, 1470, 98071, 1211, 43649, 64260, 5, 2808, 2808, 98071, 4852, 163139, 49597, 133190, 4151, 10498, 33809, 13159, 9424, 119718, 98071, 81829, 4151, 67882, 51723, 874, 98071, 2882, 4151, 6, 97634, 4944, 16932, 1470, 98071, 74004, 98071, 148346, 6093, 61397, 98071, 46053, 6235, 119718, 29766, 1211, 4, 37826, 9934, 98071, 34076, 29259, 4667, 6, 23173, 29259, 5666, 190135, 1470, 98071, 2442, 119055, 99766, 12, 2451, 6, 90848, 39293, 6, 109636, 226112, 119718, 23269, 4, 1470, 98071, 2442, 119055, 29060, 9934, 98071, 4667, 6319, 54260, 1211, 6, 170355, 4667, 3523, 98071, 2882, 3523, 54260, 12483, 4838, 6293, 41764, 54260, 36419, 4667, 5, 23173 ]

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

[ 1470, 29259, 6093, 42572, 98071, 2932, 33809, 2442, 1470, 98071, 4852, 36324, 75230, 4269, 33809, 2882, 3069, 31467, 3523, 54260, 12483, 5, 2451, 3523, 54260, 1211, 4, 2451, 506, 64260, 9934, 98071, 4667, 874, 98071, 2882, 1470, 98071, 2442, 4269, 48904, 89930, 620, 48904, 75290, 42572, 98071, 2932, 33809, 2442, 6, 90848, 39293, 4838, 6, 75290, 23269, 97634, 1211, 3069, 31467, 7508, 6093, 9915, 29259, 35189, 39340, 4, 292, 1470, 98071, 4667, 119055, 13845, 9934, 98071, 4667, 1470, 98071, 8300, 16932, 6319, 54260, 1211, 6, 170355, 4667, 3523, 98071, 2882, 5666, 54260, 12483, 5, 6, 148346, 26612, 874, 98071, 2442, 1470, 98071, 4852, 41764, 54260, 36419, 4667, 4838, 121193, 71577, 6093, 6, 101328, 194734, 119718, 5, 1982, 48904, 20616, 76632, 4113, 12, 163139, 49597, 6, 71804, 23405, 37826, 9934, 98071, 9934, 98071, 4667, 6235, 5666, 54260, 2882, 4, 125523, 3523, 98071, 97634, 6319, 29259, 1211, 42572, 98071, 68697, 23173, 29771, 3131, 98071, 2050, 5, 8947, 42572, 13845, 2882, 1470, 98071, 2442, 3523, 98071, 2882, 6, 148346, 29766, 4113, 4944, 26612, 36326, 2050, 4, 199145, 132025, 8300, 33809, 97634, 1211, 5, 90848, 39293, 12, 8947, 3523, 54260, 2882, 3523, 98071, 2882, 1470, 98071, 1211, 10676, 4, 133190, 6, 148346, 13159, 6093, 119055, 13845, 1470, 98071, 4667, 95455, 120202, 1644, 54260, 49209, 26612, 6293, 1751, 109636, 16932, 5, 3131, 5666, 29259, 35189, 39340, 12, 6, 23173, 7508, 40096, 5666, 21660, 29259, 2882, 32, 2451, 7508, 33809, 159212, 8947, 163139, 49597, 1470, 98071, 2442, 163139, 49597, 21295, 5, 1470, 98071, 4667, 119055, 13845, 4838, 6293, 6, 94741, 153222, 874, 98071, 2702, 97634, 24621, 220273, 7511, 49597, 2882, 207748, 1211, 5, 39293, 2882, 81444, 4667, 1751, 75230, 1211, 1285, 49597, 9915, 29259, 35189, 39340, 4, 6, 47351, 2181, 1470, 98071, 4852, 220273, 3523, 98071, 2882, 163139, 49597, 40920, 98071, 4484, 4, 199145, 90848, 39293, 1470, 98071, 4852, 6, 23173, 29259, 1211, 1470, 98071, 1211, 1285, 49597, 42572, 16870, 53414, 4, 4838, 148346, 98071, 9934, 98071, 1470, 98071, 4852, 17824, 54260, 2882, 3069, 31467, 10498, 33809, 13159, 1211, 4, 163139, 49597, 148932, 221895, 4231, 33809, 5666, 8903, 119055, 29259, 148346, 1644, 1470, 98071, 1211, 43649, 64260, 4, 37826, 9934, 98071, 6, 190135, 4838, 148346, 98071, 35044, 364, 54260, 2865, 98071, 86733, 1285, 49597, 42572, 48775, 8903, 12, 2451, 163139, 49597, 9934, 36326, 54745, 1211, 32, 1470, 98071, 2442, 6319, 35596, 54745, 1211, 120202, 4852, 98071, 64213, 4838, 4269, 48904, 64213, 8248, 31467, 46685, 1470, 98071, 1211, 43649, 40096, 32, 2451, 4838, 119718, 93704, 4113, 3523, 98071, 2882, 5, 3069, 31467, 199145, 32, 292, 37826, 6, 90848, 39293, 3523, 98071, 2882, 6235, 4484, 33809, 20911, 4838, 6293, 6, 21106, 7611, 4, 6, 61397, 29060, 3069, 31467, 7508, 6093, 9915, 29259, 35189, 39340, 4, 163139, 49597, 4838, 34076, 29259, 107581, 3069, 31467, 4838, 34076, 29259, 107581, 292, 1470, 98071, 4667, 119055, 13845, 6235, 119718, 98071, 101608, 8903, 7611, 207748, 1211, 4838, 6293, 8248, 31467, 46685, 5, 2451, 119055, 33809, 506, 98071, 1211, 4, 6, 90848, 39293, 6, 109636, 226112, 119718, 23269, 32, 2451, 1470, 98071, 2442, 6, 238144, 16803, 3523, 98071, 2882, 4, 119055, 33809, 506, 98071, 1211, 8947 ]

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

[ 207748, 1211, 18583, 84577, 119718, 101503, 192956, 4838, 6293, 8248, 31467, 46685, 32, 2451, 1470, 98071, 4667, 151614, 148346, 6, 57277, 39340, 36324, 75230, 18583, 3131, 57277, 49008, 2451, 506, 64260, 9934, 98071, 4667, 1285, 49597, 9915, 29259, 35189, 39340, 6235, 2808, 29259, 21295, 3069, 31467, 18583, 98071, 40920, 1211, 1470, 98071, 2442, 6428, 33809, 2442, 4944, 36909, 21106, 4, 199145, 9934, 98071, 1470, 98071, 4852, 81444, 6428, 33809, 2442, 4944, 8903, 36909, 21106, 1211, 2451, 2808, 98071, 4852, 8903, 4852, 33809, 13497, 170479, 2882, 1470, 98071, 2442, 153585, 4, 6, 90848, 39293, 6, 109636, 226112, 119718, 23269, 4, 119055, 33809, 506, 98071, 1211, 19302, 77188, 1470, 98071, 2442, 3069, 31467, 207748, 1211, 26612, 6293, 8248, 31467, 46685, 12, 1470, 98071, 1211, 46050, 49597, 2050, 4, 1470, 98071, 1211, 6, 78683, 119718, 78683, 4852, 4, 9424, 98071, 5332, 36909, 86733, 133190, 1470, 98071, 1211, 1470, 75230, 2702, 212394, 32, 2451, 95455, 151614, 148346, 1470, 98071, 4667, 125523, 3523, 98071, 2882, 6, 148346, 26612, 31249, 120467, 1211, 5, 8947, 119055, 141943, 2882, 9934, 98071, 4667, 6, 68558, 874, 29259, 1211, 6, 212915, 4, 119718, 33809, 506, 98071, 1211, 7369, 119055, 29060, 874, 98071, 4667, 1751, 98071, 38249, 5, 2451, 7369, 119055, 29060, 1470, 29259, 4667, 1751, 75230, 1211, 1751, 98071, 38249, 1470, 98071, 1211, 4838, 4269, 33809, 28320, 6, 99766, 4, 4151, 98071, 1211, 6, 148346, 98071, 1211, 1470, 98071, 4667, 9934, 98071, 75578, 5, 2451, 506, 64260, 9934, 98071, 4667, 6, 21106, 5666, 36909, 21106, 2702, 1285, 49597, 9915, 29259, 35189, 39340, 6235, 2808, 29259, 21295, 3069, 31467, 18583, 119718, 23173, 152656, 1470, 98071, 2442, 88660, 2865, 22426, 1644, 98071, 96302, 12, 5332, 36909, 86733, 119055, 29060, 1470, 98071, 2442, 207748, 2882, 6, 195054, 98071, 183216, 1470, 33809, 69708, 33809, 75290, 1211, 1285, 49597, 18583, 1644, 29766, 65482, 6319, 33809, 16747, 95494, 159212, 32, 2808, 33809, 1211, 6319, 16870, 54260, 3069, 31467, 18583, 4852, 98071, 104238, 1211, 9934, 98071, 4667, 42572, 33809, 1211, 76961, 178748, 192956, 9934, 29259, 28320, 4, 37826, 9934, 98071, 1470, 75230, 4667, 26612, 6, 225975, 6235, 97634, 1211, 1470, 98071, 1211, 3496, 48904, 20616, 76632, 13159, 9934, 29259, 2882, 12, 2451, 6319, 54260, 5666, 48904, 29766, 29060, 126968, 3523, 98071, 2882, 4, 1470, 98071, 2442, 37826, 4151, 28726, 148346, 2882, 6, 76776, 4944, 13159, 42572, 33809, 1211, 1470, 29259, 6093, 97634, 4944, 16932, 5, 193042, 48775, 30109, 59929, 26612, 119718, 98071, 26394, 9934, 98071, 1470, 98071, 4852, 6235, 119718, 29766, 1211, 38, 215031, 119055, 29259, 148346, 109316, 1470, 98071, 4852, 81444, 4667, 26612, 9424, 98071, 2442, 33809, 23405, 1470, 98071, 1211, 43649, 33809, 148346, 5, 1197, 2808, 33809, 1211, 19302, 75230, 46685, 29659, 67882, 30741, 2648, 98071, 4484, 42572, 33809, 1211, 6, 90848, 104149, 4838, 3373, 142429, 4, 36324, 75230, 163139, 49597, 9934, 98071, 119055, 39083, 2882, 220273, 7511, 49597, 2882, 153585, 4151, 148346, 29259, 4, 37826, 9934, 98071, 1470, 98071, 83182, 29659, 98071, 1644, 3069, 31467, 5666, 65482, 148346, 1211, 1470, 98071, 1211, 3496, 48904, 20616, 76632, 46598, 9934, 29259, 2882, 12, 2451, 1470, 98071, 2442, 6319, 35596, 1470, 98071, 2050, 1751, 75230, 1211, 32, 199145, 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 ]

[ 98071, 4852, 7369, 18583, 4838, 115556, 32, 2451, 42572, 33809, 5666, 119718, 48904, 12483, 170479, 1470, 98071, 4667, 1470, 98071, 2050, 51678, 32, 215031, 115556, 27, 199145, 37826, 7369, 2865, 98071, 2882, 1470, 33809, 16747, 4852, 3069, 31467, 7508, 54260, 35465, 27, 90848, 39293, 37826, 4838, 10498, 54260, 10813, 6235, 97634, 1211, 42572, 33809, 5666, 75230, 148346, 1211, 6, 23173, 137377, 2451, 36909, 99766, 42542, 9934, 98071, 4667, 1285, 49597, 3131, 5666, 29259, 35189, 39340, 3069, 31467, 1470, 98071, 2442, 3523, 98071, 2882, 34076, 29259, 12984, 2451, 2808, 33809, 1211, 41764, 33809, 185226, 163139, 49597, 9934, 98071, 119055, 39083, 2882, 6, 57277, 39340, 6319, 54260, 1211, 6, 170355, 4667, 7511, 49597, 2882, 221387, 4, 37826, 9934, 98071, 74806, 2865, 33809, 119273, 220273, 874, 98071, 2882, 119055, 13845, 119718, 1644, 12483, 5, 2451, 55242, 4, 193042, 48775, 4269, 33809, 16932, 6, 212484, 33809, 23405, 38, 6, 148346, 29766, 98071, 2702, 119055, 29060, 6319, 33809, 51723, 4, 119055, 13845, 1470, 98071, 4667, 1470, 98071, 2050, 148346, 213783, 4838, 6319, 33809, 4484, 160204, 5, 29771, 148346, 6093, 3496, 48904, 20616, 76632, 12483, 37826, 6, 61397, 33809, 109636, 2882, 6, 159696, 15388, 4151, 6, 97634, 4944, 16932, 4, 199145, 6, 148346, 26612, 2808, 98071, 2442, 1470, 98071, 4852, 6428, 99766, 1211, 4, 119055, 29259, 4852, 2882, 1470, 75230, 2702, 4, 5332, 22426, 13159, 3523, 98071, 2882, 34076, 40096, 98071, 4484, 874, 98071, 28320, 6, 212915, 5, 1470, 33809, 1211, 6319, 39083, 4852, 212915, 2648, 98071, 9915, 29259, 35189, 39340, 37826, 6235, 234221, 1470, 98071, 1211, 3069, 31467, 3131, 5666, 29259, 35465, 4, 37826, 9934, 98071, 6235, 119718, 39083, 2882, 9934, 98071, 4667, 35189, 119718, 98071, 46053, 12, 2451, 199145, 1470, 98071, 4852, 6428, 99766, 1211, 6235, 159696, 1211, 6, 148346, 26612, 1470, 29259, 4667, 3523, 91595, 1211, 32, 1470, 98071, 148346, 6093, 61397, 29060, 9934, 98071, 4667, 32, 2451, 9934, 29766, 2932, 3523, 98071, 2882, 4, 6, 57277, 24621, 2451, 2865, 98071, 61621, 6428, 33809, 2442, 4944, 4484, 33809, 51723, 5, 2808, 33809, 1211, 874, 98071, 2882, 207748, 4852, 98071, 40920, 98071, 38249, 1470, 33809, 1211, 42572, 98071, 1644, 148346, 93704, 29259, 2882, 16747, 98071, 38249, 6, 240863, 1470, 98071, 4852, 9934, 98071, 3069, 31467, 2442, 98071, 4484, 4838, 159696, 4484, 8300, 33809, 9934, 98071, 4667, 1470, 98071, 1211, 9424, 98071, 46685, 12, 199145, 9934, 36326, 54745, 1211, 4, 22753, 6, 159696, 67873, 3523, 98071, 2882, 6428, 33809, 2442, 4944, 4484, 33809, 51723, 32, 9934, 98071, 37826, 3131, 75230, 1211, 6, 148346, 26612, 1470, 98071, 2050, 4, 3523, 98071, 3131, 88660, 36326, 4, 1470, 75230, 2702, 8903, 36909, 98071, 33716, 6, 59929, 26612, 4667, 6, 170355, 12984, 4, 119055, 29060, 9934, 98071, 1470, 75230, 2702, 36909, 98071, 61621, 1470, 75230, 4667, 2648, 120467, 1470, 98071, 148346, 6093, 98071, 39340, 5, 199145, 6, 94741, 63020, 18225, 54745, 1211, 4838, 163139, 49597, 40920, 98071, 75290, 4113, 6, 170355, 4667, 4, 163139, 49597, 1285, 49597, 67882, 21292, 63593, 98071, 2882, 4151, 6, 23173, 148346, 29060, 32, 6, 64260, 3523, 54260, 2882, 4838, 166464, 6, 148346, 26612, 4269, 64260, 4, 76961, 132025, 190135, 4113, 9934, 98071, 64213, 2808, 98071, 1211 ]

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

[ 1285, 49597, 6, 48904, 29659, 186955, 1211, 1470, 33809, 1211, 1751, 119718, 98071, 64213, 6, 148346, 26612, 4151, 6, 23173, 148346, 29060, 5, 163139, 49597, 6, 71804, 23405, 1470, 98071, 4852, 125523, 6, 90848, 39293, 21106, 54260, 1211, 6235, 159696, 1211, 4838, 67882, 3131, 98071, 7511, 49597, 16803, 39340, 4, 1470, 33809, 1211, 37826, 4838, 4269, 48904, 64213, 166464, 6235, 506, 40096, 1470, 54260, 1211, 6, 23173, 5, 148346, 29060, 12, 120202, 8300, 33809, 21733, 71577, 1211, 9934, 98071, 4667, 1285, 49597, 42572, 98071, 23405, 6093, 5, 163139, 49597, 6, 71804, 23405, 4, 6, 94741, 40920, 9934, 98071, 4667, 4, 1470, 98071, 4852, 95455, 6235, 159696, 1211, 12, 171433, 506, 75230, 148346, 163139, 49597, 13497, 6093, 193042, 4944, 92605, 1644, 5, 1470, 98071, 56169, 1470, 98071, 4852, 9934, 12, 4838, 6, 128750, 75230, 3069, 31467, 6, 128750, 75230, 12483, 34076, 29259, 4667, 4, 1470, 33809, 1211, 506, 64260, 9934, 98071, 4667, 3523, 98071, 2882, 199145, 3069, 31467, 27855, 51723, 18583, 76961, 18583, 84577, 119718, 101503, 192956, 119055, 29259, 148346, 6093, 12, 9934, 98071, 506, 64260, 9424, 29259, 2882, 3069, 31467, 145813, 26612, 10918, 49597, 61621, 4, 9934, 98071, 42542, 6, 23173, 29259, 23405, 54260, 1211, 3069, 31467, 23050, 16803, 27, 9934, 98071, 37826, 9934, 98071, 4667, 220273, 165592, 75230, 3523, 98071, 2882, 23050, 506, 29771, 20315, 159696, 2050, 4, 9934, 98071, 170479, 4838, 4269, 48904, 64213, 166464, 235311, 6, 23173, 148346, 213783, 4, 163139, 49597, 4838, 3131, 119718, 23173, 8300, 23173, 148346, 4113, 16932, 7369, 8903, 7611, 5, 2451, 55242, 133190, 4, 6, 90848, 39293, 4, 119055, 6093, 8947, 1470, 98071, 4852, 6235, 4484, 33809, 51723, 2451, 506, 64260, 874, 98071, 2882, 4838, 117902, 2442, 1751, 29771, 3131, 109636, 16932, 7508, 48904, 20616, 76632, 4113, 6, 23173, 29259, 23405, 174798, 98071, 12483, 3069, 31467, 6, 90848, 104149, 6428, 33809, 2442, 12984, 6, 159696, 177282, 12, 14856, 47526, 1470, 98071, 4852, 8903, 4484, 33809, 51723, 38, 41764, 54260, 36419, 4667, 37826, 6, 57277, 39340, 23050, 4852, 29771, 13497, 2451, 506, 64260, 9934, 98071, 6, 61397, 29060, 1751, 75230, 1211, 3069, 31467, 874, 141943, 5, 1644, 12483, 2451, 165592, 6319, 75230, 2050, 1470, 98071, 4852, 3523, 98071, 97634, 42572, 33809, 1211, 1285, 49597, 2442, 6319, 29259, 1211, 6, 148346, 2442, 98071, 119718, 4, 874, 33809, 4852, 2882, 33809, 6319, 33809, 51723, 5, 199145, 67882, 4944, 16803, 33809, 4, 24621, 47526, 32, 29771, 148346, 6093, 6, 90848, 39293, 37826, 1470, 98071, 2050, 34076, 29259, 104238, 6, 61397, 33809, 152656, 3069, 31467, 9934, 98071, 4667, 1470, 98071, 1211, 9424, 98071, 46685, 6, 23173, 29259, 1211, 12, 2451, 6319, 33809, 2050, 6, 23173, 29259, 1211, 3069, 31467, 874, 98071, 2442, 4, 14856, 47526, 5, 6428, 33809, 2442, 12984, 6319, 29766, 98071, 2648, 29766, 27, 2451, 55242, 133190, 4, 1470, 98071, 1211, 874, 98071, 28320, 166464, 6, 148346, 98071, 16803, 33809, 133190, 1470, 98071, 83182, 506, 54260, 2050, 32, 37826, 9934, 98071, 4667, 18583, 5, 119718, 33809, 83182, 2882, 4151, 6, 100863, 98071, 2648, 3131, 159696, 82576, 4484, 98071, 16747, 6, 90848, 4852, 13159, 1470, 33809, 1211, 1285, 49597, 198754, 4113, 364, 84577, 42572, 33809, 1211, 1470, 98071 ]

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

[ 33716, 40096, 1211, 4, 14856, 47526, 6, 148346, 2442, 29766, 64310, 49597, 4, 199145, 1470, 98071, 4852, 125523, 132025, 506, 75230, 148346, 163139, 49597, 13497, 6093, 6, 23173, 98071, 148346, 6093, 8903, 5016, 36909, 29766, 1211, 42572, 33809, 1211, 6, 148346, 2442, 33809, 7511, 49597, 1211, 1470, 98071, 1211, 6, 105235, 21338, 173102, 98071, 20260, 4113, 6, 57277, 39340, 3069, 31467, 1644, 98071, 148346, 1285, 49597, 119055, 92605, 2702, 16747, 98071, 39340, 23050, 36326, 36909, 15289, 42572, 33809, 1211, 6, 212394, 119718, 98071, 33716, 88660, 137377, 4, 2451, 2808, 33809, 1211, 119055, 6093, 1470, 98071, 4852, 4838, 6293, 4151, 43649, 109316, 32, 2451, 3523, 98071, 97634, 6, 75322, 39083, 98071, 39340, 6, 101328, 25207, 44779, 4, 14856, 47526, 2451, 506, 64260, 1470, 98071, 2050, 6, 90848, 39293, 6235, 3111, 31467, 51723, 2808, 75230, 2702, 35189, 8300, 54260, 67873, 1470, 98071, 25207, 3523, 29259, 2702, 2451, 2808, 98071, 4667, 6, 23173, 148346, 29060, 3523, 98071, 2882, 5, 1751, 75230, 1211, 5332, 36909, 86733, 42572, 98071, 2442, 3496, 93704, 171433, 98071, 2050, 5, 23050, 3111, 31467, 5666, 18583, 874, 98071, 2442, 5, 2451, 199145, 32, 163139, 49597, 36324, 75230, 32, 18583, 4484, 98071, 29025, 2882, 32, 2451, 199145, 5332, 22426, 13159, 18583, 4484, 98071, 29025, 2882, 32, 2451, 506, 64260, 6, 90848, 104149, 133190, 3523, 98071, 2882, 23050, 22426, 59929, 2882, 215031, 6235, 94741, 20260, 4, 199145, 37922, 98071, 64213, 42542, 1470, 29259, 5666, 36909, 21106, 1211, 6, 159696, 15388, 1470, 98071, 2442, 2451, 165592, 13845, 107581, 163139, 49597, 1470, 98071, 4667, 18583, 4484, 98071, 29025, 2882, 18225, 3523, 98071, 2882, 5, 2451, 4838, 506, 26612, 38, 2451, 2808, 98071, 4852, 14856, 47526, 6, 238144, 7511, 49597, 4484, 199145, 3523, 98071, 2702, 204403, 13845, 23050, 119718, 29766, 1211, 42572, 33809, 1211, 1470, 98071, 2442, 97995, 75230, 95564, 29259, 2882, 2451, 4113, 36909, 86733, 51678, 1751, 75230, 1211, 220273, 116486, 80885, 115374, 874, 98071, 2882, 7508, 98071, 2442, 3523, 98071, 2882, 7508, 54260, 35465, 32, 2451, 7508, 54260, 35465, 42542, 18225, 4, 123736, 148346, 6093, 2181, 119055, 141943, 2882, 7746, 163139, 49597, 36324, 75230, 5, 2451, 36324, 75230, 133190, 32, 3523, 33809, 4, 9934, 36326, 119055, 33809, 6, 80453, 98071, 4, 67882, 94741, 2050, 5, 199145, 9934, 36326, 6, 225975, 2882, 6428, 29259, 1211, 6, 212915, 23173, 10676, 4, 199145, 6428, 33809, 151614, 16803, 1470, 33809, 36909, 23269, 506, 77188, 3069, 31467, 6, 23173, 148346, 213783, 32, 2451, 7369, 18583, 3131, 22426, 23173, 2882, 3069, 31467, 6, 225975, 1211, 5, 4151, 81444, 4484, 16932, 6, 225975, 2882, 27, 2451, 199145, 9934, 29771, 13497, 4151, 81444, 4484, 16932, 32, 2451, 7369, 6, 225975, 2882, 12, 2181, 1470, 98071, 4852, 34076, 29259, 104238, 4, 1470, 98071, 4667, 170479, 3523, 98071, 2882, 6, 23173, 148346, 213783, 5, 2451, 151614, 16803, 4838, 4269, 33809, 18415, 67882, 90848, 107581, 4, 6, 90848, 39293, 2882, 126968, 5, 8947, 170479, 9934, 98071, 4667, 133190, 3523, 98071, 2882, 36909, 23173, 29259, 46053, 5, 1285, 49597, 224220, 33809, 7511, 49597, 119364, 4, 6428, 23173, 36909, 16803, 33809, 163139, 49597, 46053, 4, 1470, 98071, 4852, 4838, 42572, 39083, 4484, 27, 874, 98071, 2882, 220224, 6 ]

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

[ 48775, 63020, 51723, 153585, 207748, 4852, 98071, 40920, 98071, 4484, 5, 2451, 22518, 37016, 874, 98071, 4667, 3523, 98071, 2882, 4, 14856, 47526, 5, 1470, 98071, 4667, 119055, 13845, 9934, 98071, 4667, 6, 148346, 26612, 2932, 54260, 1211, 5, 2451, 1470, 33809, 1211, 199145, 67882, 40920, 7369, 4, 4151, 49920, 23050, 2865, 21106, 32, 2451, 6428, 33809, 874, 54260, 16667, 2882, 4, 1470, 98071, 4667, 55242, 1470, 98071, 2050, 6, 59929, 26612, 4667, 32, 90848, 39293, 37826, 1751, 75230, 1211, 220273, 18583, 8903, 46053, 6, 68558, 4151, 132025, 5666, 21660, 75230, 5666, 20260, 29259, 2882, 4, 119055, 59929, 9934, 98071, 94741, 63020, 1470, 75230, 2702, 234221, 6, 147713, 2808, 148346, 4113, 4151, 7508, 39083, 4, 199145, 9934, 98071, 145813, 98071, 21295, 4838, 75386, 4838, 18583, 84577, 119718, 101503, 192956, 6, 128750, 75230, 4, 1470, 33809, 1211, 6, 64260, 37826, 9934, 98071, 1751, 75230, 1211, 163139, 49597, 35189, 59461, 29060, 874, 98071, 2882, 1470, 98071, 2442, 6235, 238144, 13497, 28726, 18406, 1470, 33809, 1211, 18583, 1470, 98071, 2442, 3523, 40096, 98071, 2442, 28726, 18406, 160204, 12, 2451, 6, 64260, 1470, 98071, 4852, 7369, 133190, 199145, 6235, 4484, 33809, 51723, 42572, 33809, 1211, 1470, 75230, 48350, 2648, 4, 6, 94741, 40920, 874, 98071, 2442, 4, 7369, 19302, 29259, 148346, 2882, 4852, 98071, 4667, 1751, 75230, 1211, 163139, 49597, 35189, 4, 1470, 33809, 1211, 36324, 7369, 6319, 33809, 63532, 4838, 506, 54260, 2050, 4, 657, 98071, 13497, 7369, 1470, 75230, 4667, 120202, 6, 119859, 57619, 65482, 18415, 2932, 1470, 98071, 1211, 105884, 92605, 10918, 49597, 4113, 1470, 33809, 1211, 1470, 98071, 1211, 1470, 33809, 88660, 2050, 5, 36324, 7369, 3523, 54260, 2882, 4838, 159696, 4484, 4, 620, 29771, 6293, 1470, 98071, 4667, 125523, 2451, 151614, 16803, 4838, 6, 148346, 92605, 159696, 51723, 6, 212915, 4, 6, 90848, 39293, 2882, 126968, 5, 119055, 39083, 16803, 874, 98071, 2442, 3496, 64260, 3131, 6, 148346, 93704, 23173, 159212, 3523, 33809, 2882, 120202, 94741, 20260, 12483, 4151, 36909, 23173, 5, 119055, 12483, 1470, 98071, 4667, 207748, 6, 48775, 17017, 16803, 3523, 98071, 2882, 1470, 98071, 148346, 6093, 6319, 29259, 1211, 78683, 2865, 98071, 20260, 4113, 1470, 33809, 1211, 6, 212484, 3523, 98071, 2882, 6, 128750, 29259, 10676, 9424, 98071, 46685, 4, 199145, 119055, 39083, 2882, 6235, 159696, 1211, 32, 2451, 1470, 75230, 148346, 6428, 48904, 165354, 4, 6, 94741, 63020, 1470, 98071, 4667, 10676, 6, 212394, 119718, 54196, 88660, 137377, 4, 199145, 37826, 7508, 98071, 4667, 26612, 506, 98071, 1211, 4838, 159696, 4484, 23269, 3131, 98071, 20911, 5, 2451, 1470, 33809, 1211, 119055, 6093, 1470, 98071, 1211, 7508, 6093, 6, 212394, 119718, 98071, 33716, 88660, 137377, 4, 1470, 75230, 148346, 3523, 98071, 2882, 1470, 98071, 4667, 874, 98071, 2882, 6428, 29259, 1211, 6, 57277, 28320, 32, 2451, 1470, 98071, 4667, 6, 238144, 2702, 4, 874, 141943, 109316, 4, 36324, 6428, 33809, 6, 148346, 98071, 16803, 4838, 6, 148346, 6093, 17645, 4, 1470, 98071, 4667, 6, 238144, 2702, 5, 123736, 148346, 6093, 9424, 98071, 2865, 54260, 16667, 2882, 33809, 6, 148346, 4113, 63593, 13159, 4, 36324, 4151, 4269, 48904, 89930, 6319, 75230, 4113, 4667, 43649, 87442, 133190, 1470, 98071, 1211 ]

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

[ 9424, 98071, 16932, 4, 1470, 33809, 1211, 2808, 98071, 4667, 6, 21106, 54260, 1211, 6, 148346, 98071, 1211, 1751, 75230, 1211, 220273, 7511, 49597, 29659, 32, 6460, 2451, 3496, 59929, 159696, 113889, 28726, 2050, 4, 1470, 98071, 4667, 874, 54260, 1211, 95455, 3523, 98071, 2882, 4, 6, 90848, 39293, 2882, 126968, 2451, 506, 64260, 7746, 119055, 6093, 238144, 2702, 3069, 31467, 1644, 98071, 148346, 199145, 120202, 8903, 4852, 98071, 36909, 56169, 14856, 47526, 2451, 2808, 98071, 4667, 6, 238144, 2702, 18583, 75290, 2882, 4, 36324, 1470, 98071, 1211, 2648, 29259, 1211, 42572, 13845, 4151, 364, 98071, 13497, 98071, 86733, 4, 151614, 148346, 6319, 29259, 1211, 18583, 98071, 148346, 1644, 3523, 98071, 29659, 4, 6, 90848, 39293, 2882, 126968, 4, 18583, 1211, 2808, 75230, 92904, 98071, 4484, 4, 2451, 105235, 20911, 220273, 4838, 17824, 75230, 101608, 6319, 75230, 4113, 4667, 5, 199145, 170479, 1470, 98071, 4667, 1285, 49597, 2442, 6, 225975, 1211, 4, 5332, 1982, 10918, 49597, 2882, 4, 163139, 49597, 4838, 67882, 2932, 23269, 2882, 5, 2451, 564, 54260, 28726, 4, 6428, 33809, 178748, 16803, 7508, 54260, 35465, 2451, 506, 64260, 6, 90848, 39293, 4838, 67882, 4667, 6235, 97634, 1211, 874, 98071, 2882, 21776, 17800, 84577, 2451, 2648, 98071, 4667, 119055, 13845, 1470, 98071, 4667, 1751, 75230, 1211, 3523, 98071, 2882, 1470, 98071, 148346, 6093, 101296, 12984, 5, 123736, 148346, 6093, 6, 225975, 874, 98071, 2442, 10676, 5332, 24621, 1982, 4, 24621, 47526, 4, 1285, 49597, 4667, 9424, 98071, 2882, 1470, 75230, 4667, 32, 2451, 8947, 9424, 98071, 2882, 4, 6, 90848, 39293, 46545, 4113, 4, 8947, 9424, 98071, 2882, 2451, 506, 64260, 11265, 95455, 14856, 47526, 6, 148346, 26612, 119718, 98071, 56880, 119859, 49209, 6, 148346, 26612, 3131, 54260, 5666, 149364, 44779, 4, 6235, 148346, 16747, 98071, 4484, 9934, 98071, 4838, 9424, 98071, 3069, 31467, 9934, 98071, 4667, 874, 98071, 2882, 194885, 7508, 75230, 18415, 30109, 4113, 159212, 98071, 39340, 364, 35596, 5, 2451, 3523, 54260, 4, 4269, 54260, 4838, 159696, 4484, 2451, 506, 64260, 1470, 98071, 2050, 6, 90848, 39293, 3069, 31467, 128750, 98071, 35465, 4838, 43649, 75230, 2702, 6235, 97634, 1211, 24464, 4852, 98071, 4667, 2451, 2808, 98071, 4852, 1470, 75230, 101608, 4151, 42572, 13845, 4, 163139, 49597, 6428, 33809, 6, 225975, 16803, 4, 151614, 16803, 33809, 1470, 98071, 1211, 874, 98071, 2442, 6319, 54260, 1211, 6, 170355, 4667, 7511, 49597, 2882, 6235, 36909, 33809, 49008, 32, 2451, 119055, 29259, 16932, 4, 6, 90848, 39293, 2882, 126968, 4, 6, 148346, 98071, 16667, 2882, 33809, 4838, 874, 75322, 168155, 5, 123736, 148346, 6093, 95455, 1470, 98071, 4852, 1751, 75230, 1211, 4838, 63188, 33809, 36326, 170355, 4667, 5, 4838, 42572, 75322, 98071, 1644, 98071, 4113, 215031, 5, 2451, 874, 141943, 109316, 4, 6, 94741, 40920, 874, 98071, 2442, 4, 6428, 33809, 6235, 506, 6093, 16803, 1470, 75230, 4667, 3069, 31467, 4151, 39293, 1644, 148346, 6093, 42572, 75322, 98071, 1644, 98071, 4113, 32, 2451, 3496, 59929, 159696, 15907, 39083, 46598, 4, 1470, 98071, 4667, 6, 84577, 225975, 874, 98071, 4667, 3523, 98071, 2882, 5, 2451, 215594, 133190, 4, 220224, 151614, 148346, 1211, 9934, 98071, 4667, 1751, 75230, 1211, 3069, 31467, 5666, 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 ]

[ 36909, 23269, 1982, 71577, 2882, 4, 2451, 2808, 98071, 4852, 6, 23173, 29259, 1211, 4838, 68959, 54260, 6093, 10498, 33809, 13159, 1285, 49597, 6235, 159696, 4852, 65482, 1751, 75230, 4944, 29060, 39340, 27702, 23269, 506, 76632, 4113, 4, 199145, 1470, 98071, 4852, 1751, 75230, 1211, 23050, 5, 119718, 29771, 41595, 6235, 159696, 1211, 3069, 31467, 220224, 123073, 6235, 2865, 54260, 5666, 235210, 4113, 18583, 148346, 189623, 23269, 7511, 49597, 81829, 4, 9424, 29259, 2882, 32887, 47526, 37826, 36909, 23173, 3111, 31467, 51723, 6, 148346, 26612, 220224, 10676, 9424, 75578, 2451, 148346, 98071, 16803, 133190, 199145, 6235, 4484, 33809, 51723, 4, 14856, 47526, 4, 1470, 98071, 2442, 159696, 2882, 125523, 9424, 29259, 2882, 151614, 148346, 1211, 5, 6319, 33809, 2050, 5332, 22426, 13159, 3069, 31467, 148346, 29259, 46053, 4, 2181, 43649, 54260, 2882, 1751, 75230, 1211, 4838, 152656, 16175, 98071, 3131, 22426, 54260, 36419, 4667, 6, 94741, 63020, 6, 148346, 21106, 2648, 6, 23173, 29259, 20260, 33809, 51723, 5, 2451, 6, 212484, 2882, 1470, 33809, 16747, 4852, 4, 7508, 48904, 20616, 76632, 4113, 4, 1470, 75230, 2702, 107581, 3131, 148346, 171428, 9934, 98071, 4667, 4838, 128750, 98071, 6093, 2451, 506, 64260, 6235, 225975, 2882, 14856, 47526, 2451, 2808, 98071, 4667, 6, 94741, 63020, 125523, 1470, 33809, 36909, 87311, 49008, 6, 148346, 26612, 6, 90848, 104149, 874, 29259, 1211, 3496, 54260, 1644, 37016, 1751, 93704, 1982, 239162, 2702, 4, 119055, 29766, 46598, 119055, 12483, 1470, 98071, 4667, 6, 212484, 3523, 98071, 2882, 1470, 98071, 148346, 6093, 95455, 9424, 98071, 46685, 4, 42572, 33809, 5666, 119718, 48904, 12483, 119055, 39083, 2882, 4852, 12, 6235, 3111, 31467, 51723, 4838, 224220, 33809, 7511, 49597, 16803, 36324, 75230, 17824, 98071, 23405, 32, 165592, 13845, 107581, 6, 148346, 26612, 10918, 49597, 33809, 183216, 151614, 148346, 1211, 9934, 98071, 4667, 564, 54260, 1211, 1470, 54260, 5666, 190135, 9424, 119718, 98071, 81829, 14856, 47526, 12483, 2808, 33809, 1211, 6, 90848, 104149, 874, 98071, 2882, 1470, 98071, 2442, 4269, 48904, 89930, 42572, 75322, 98071, 1644, 17645, 5, 1470, 75230, 101608, 10676, 4, 199145, 220224, 194885, 1211, 6235, 159696, 1211, 657, 29259, 148346, 192956, 34076, 98071, 2648, 5666, 159696, 82576, 4484, 98071, 83182, 4, 151614, 148346, 1211, 220224, 9934, 98071, 4667, 76961, 6, 101328, 61621, 6235, 506, 29771, 20315, 159696, 2882, 1470, 98071, 5666, 54260, 119132, 4, 1470, 33809, 1211, 42572, 33809, 1211, 6428, 12, 193042, 24621, 6319, 98071, 83182, 36326, 6, 101328, 61621, 37826, 18225, 220224, 1751, 75230, 1211, 8903, 95494, 2648, 4944, 13497, 4, 36324, 95455, 6, 159696, 67873, 153585, 4838, 191795, 46053, 874, 98071, 2882, 4838, 6, 78683, 28726, 5, 8947, 37826, 9934, 98071, 4667, 1470, 75230, 2702, 8903, 4852, 39083, 2882, 3523, 98071, 2882, 1470, 98071, 23405, 48904, 64213, 36324, 75230, 4, 7508, 98071, 40920, 98071, 75290, 6235, 225975, 2882, 4, 1470, 98071, 23405, 48904, 64213, 3523, 98071, 2882, 36324, 75230, 5, 1285, 49597, 148346, 39083, 36326, 119718, 98071, 4484, 13159, 151614, 148346, 1211, 1470, 75230, 4667, 81444, 3069, 31467, 13982, 54260, 2882, 1285, 49597, 3496, 79238, 148346, 75230, 23269, 2702, 4, 123736, 148346, 6093, 14856, 47526, 1470, 98071, 4852, 5666, 29766, 3523, 98071, 2882, 6235, 159696, 1211, 215031 ]

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

[ 3523, 23173, 4838, 6293, 3523, 98071, 2882, 3069, 31467, 18583, 29659, 54260, 1211, 4, 36324, 1470, 75230, 148346, 6, 90848, 39293, 42542, 6, 148346, 26612, 5, 506, 75230, 148346, 1211, 4838, 224220, 33809, 7511, 49597, 16803, 4, 37826, 7369, 3523, 23173, 3523, 98071, 2882, 199145, 3069, 31467, 6, 80453, 29060, 141943, 98071, 61621, 12, 199145, 1470, 98071, 4852, 2648, 98071, 4838, 119718, 28726, 32, 148932, 6093, 8248, 31467, 40920, 9934, 98071, 4667, 199145, 6, 148346, 13159, 6093, 5, 1470, 33809, 1211, 199145, 6235, 506, 6093, 3069, 31467, 874, 54260, 2442, 5, 874, 5, 3373, 54260, 48253, 5, 4838, 68550, 4151, 42572, 26612, 148346, 2442, 98071, 4484, 5, 9185, 44779, 4, 1470, 98071, 4852, 14856, 47526, 3523, 98071, 2882, 7508, 6093, 115556, 4, 7369, 170479, 9934, 98071, 4667, 1470, 29259, 110970, 22426, 23173, 1211, 6, 94741, 119718, 39340, 1285, 49597, 2808, 33809, 1211, 3523, 98071, 2882, 4231, 65482, 2451, 119718, 120467, 1470, 98071, 4852, 7369, 54745, 1211, 4838, 117902, 29060, 4, 119055, 13845, 104238, 22518, 29259, 148346, 2882, 657, 98071, 2648, 44779, 1470, 33809, 1211, 36909, 23173, 21847, 29771, 56169, 1285, 49597, 1470, 75230, 15388, 3069, 31467, 4151, 17190, 119718, 239162, 32, 4151, 1751, 54260, 59461, 874, 98071, 1211, 42572, 13845, 2882, 1470, 98071, 8300, 16932, 7511, 49597, 2882, 6, 23173, 4151, 6, 159696, 21295, 12, 1285, 49597, 874, 98071, 22849, 29771, 24621, 37826, 76961, 51723, 18583, 4852, 29766, 98833, 5, 1470, 33809, 1211, 3373, 29771, 36909, 88660, 75386, 29771, 6293, 37826, 7369, 125523, 6, 90848, 104149, 1470, 75230, 4667, 3523, 98071, 2882, 18583, 212484, 1211, 5, 4838, 224220, 33809, 7511, 49597, 16803, 1470, 98071, 4852, 6, 57277, 39340, 26612, 224220, 33809, 7511, 49597, 16803, 4, 123736, 148346, 6093, 1470, 75230, 101608, 4838, 117902, 33716, 36909, 13845, 874, 98071, 2882, 4838, 186046, 2882, 54260, 148346, 98071, 10813, 4, 199145, 37826, 26612, 224220, 33809, 7511, 49597, 16803, 32, 2451, 123736, 148346, 6093, 4838, 874, 40096, 239162, 4, 36324, 1470, 98071, 4667, 119055, 13845, 7508, 98071, 2442, 6, 148346, 25207, 183216, 4, 119055, 119273, 33809, 3069, 31467, 101470, 32, 2451, 506, 64260, 9934, 98071, 4667, 32887, 47526, 6, 190135, 1470, 98071, 1211, 42572, 59929, 68558, 18583, 3496, 48904, 20616, 76632, 12483, 4, 1470, 33809, 1211, 4852, 39083, 9934, 98071, 4, 4838, 35189, 26612, 148346, 4113, 4, 6, 104149, 4, 36324, 7369, 42572, 186955, 6, 148346, 26612, 9934, 98071, 4667, 3523, 98071, 2882, 6, 23173, 137377, 5, 2451, 874, 98071, 2882, 6, 148346, 54260, 20315, 364, 35596, 4, 874, 141943, 109316, 4, 4838, 148346, 98071, 4838, 198754, 4113, 5, 199145, 4, 874, 98071, 2442, 6, 148346, 1644, 29259, 148346, 1211, 20315, 1211, 3523, 98071, 2882, 6319, 29259, 1211, 657, 29259, 148346, 192956, 34076, 98071, 2648, 3131, 159696, 82576, 4484, 98071, 83182, 32, 2451, 2205, 4838, 6319, 33809, 3131, 119055, 13845, 1470, 98071, 4667, 6, 148346, 92605, 33809, 51723, 32, 2451, 4838, 36909, 98071, 28726, 9424, 238144, 4, 14856, 47526, 4, 1470, 75230, 148346, 133190, 8947, 119055, 29060, 119055, 77188, 153585, 5, 5666, 29766, 81444, 1470, 98071, 4852, 874, 98071, 57277, 2865, 39083, 14856, 47526, 6235, 119718, 29766, 1211, 220273, 7369, 16667, 2882, 5, 2451, 6, 101328 ]

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

[ 101328, 4, 36324, 75230, 1470, 98071, 4852, 8947, 4, 2451, 506, 64260, 9934, 98071, 4667, 14856, 47526, 162726, 33809, 34709, 33809, 23405, 4838, 7508, 12, 148346, 23050, 57277, 1211, 20315, 2050, 43649, 53414, 4, 163139, 49597, 7369, 119055, 39083, 2882, 9934, 98071, 4667, 4151, 87311, 13497, 133190, 4838, 163139, 49597, 40920, 98071, 39340, 6, 170355, 4667, 2451, 18583, 119718, 120467, 39293, 2882, 18225, 125523, 4838, 79981, 3523, 98071, 2050, 21776, 148346, 41764, 54260, 36419, 12984, 32, 2451, 41764, 54260, 36419, 18406, 42572, 13845, 2882, 1470, 75230, 4667, 3523, 98071, 29659, 6319, 29259, 1211, 6, 23173, 148346, 29060, 2451, 506, 64260, 23050, 4852, 29771, 13497, 7508, 48904, 20616, 76632, 4113, 2451, 10069, 874, 54260, 16667, 2882, 4, 874, 98071, 2882, 1285, 49597, 41764, 75230, 6093, 98071, 2050, 1470, 98071, 4852, 36324, 75230, 17824, 98071, 23405, 3069, 31467, 29434, 54260, 12483, 9934, 98071, 4667, 32, 2442, 33809, 1982, 98071, 87311, 119718, 98071, 2882, 2882, 37826, 1470, 98071, 1211, 4151, 39293, 1644, 148346, 6093, 9424, 29259, 2882, 6, 57277, 39340, 137, 8903, 13982, 54260, 2882, 155, 9934, 98071, 4667, 874, 98071, 2882, 2648, 98071, 41764, 75230, 6093, 98071, 2050, 1470, 98071, 1211, 6, 88660, 137377, 6093, 40096, 98071, 119718, 5, 7508, 5, 6, 148346, 21106, 43178, 33809, 36909, 98071, 2050, 194885, 1211, 23050, 4484, 33809, 51723, 5, 7508, 33809, 1982, 98071, 28714, 119718, 98071, 48253, 37826, 6, 31212, 6235, 3111, 31467, 51723, 1751, 57277, 24152, 6, 148346, 54260, 168155, 1211, 4838, 6293, 220224, 12, 2451, 119055, 33809, 4, 42572, 25207, 2932, 1470, 98071, 4667, 6, 148346, 26612, 1470, 29259, 4667, 4, 220224, 2882, 1470, 98071, 2442, 18583, 36909, 21106, 1211, 6235, 119718, 29766, 1211, 32, 4151, 46711, 129071, 29766, 4, 874, 54260, 13497, 1470, 98071, 2442, 4, 119055, 29060, 4838, 6293, 1470, 29259, 4667, 6, 71804, 23405, 119055, 23173, 28320, 32, 1285, 49597, 620, 4113, 149364, 6, 212484, 1211, 3523, 98071, 23822, 33809, 12483, 5, 36909, 23173, 1285, 49597, 6, 148346, 26612, 147713, 33809, 36909, 98071, 2050, 1470, 98071, 4852, 95455, 6235, 159696, 1211, 4838, 3523, 29259, 2702, 1470, 33809, 1211, 1470, 33809, 112304, 98071, 16803, 4, 55242, 12483, 220224, 4852, 98071, 4667, 1470, 98071, 8300, 16932, 6, 23173, 33809, 2050, 4, 194885, 1211, 220224, 6235, 159696, 1211, 6, 148346, 26612, 9934, 98071, 4667, 36324, 75230, 7508, 33809, 98071, 4484, 12, 2451, 220224, 163139, 49597, 67873, 54745, 1211, 1470, 75230, 4667, 21776, 2050, 46711, 129071, 29766, 32, 42572, 33809, 5666, 119718, 48904, 12483, 151614, 148346, 1211, 220224, 3373, 54260, 10813, 32, 2451, 4838, 6293, 3373, 54260, 10813, 170479, 2882, 1470, 98071, 2442, 9934, 98071, 4667, 1470, 98071, 8300, 16932, 3523, 98071, 2882, 6, 113889, 4944, 128750, 4113, 15388, 2451, 506, 64260, 220224, 6235, 44478, 13497, 7508, 33809, 4944, 98071, 87311, 119718, 98071, 48253, 2451, 21106, 4113, 151614, 148346, 1211, 1470, 98071, 8300, 16932, 3373, 54260, 10813, 5, 67882, 40920, 3523, 98071, 2882, 6319, 29259, 1211, 1751, 98071, 506, 13159, 2808, 33809, 1211, 22518, 29259, 148346, 2882, 1470, 33809, 13497, 6093, 5, 1470, 33809, 194734, 95064, 25391, 98071, 148346, 1211, 32, 1470, 98071, 56169, 3523, 54260, 2882, 4838, 152656, 6, 71804, 61397, 1470, 33809, 1211, 235466 ]

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