SmallDoge/stable_dataset_processed · Datasets at Hugging Face

input_ids listlengths 1 2.05k	attention_mask listlengths 1 2.05k
[ 4732, 1828, 568, 7183, 281, 1582, 4732, 1828, 815, 6443, 5560, 858, 263, 32188, 338, 267, 21055, 4917, 825, 952, 1582, 23584, 518, 568, 7183, 281, 1582, 23584, 518, 815, 9041, 516, 2897, 318, 6919, 4311, 6745, 6374, 622, 267, 3961, 2020, 825, 1948, 4990, 856, 2942, 1871, 585, 3954, 652, 267, 786, 711, 581, 13087, 952, 4881, 896, 12877, 13695, 454, 825, 952, 3954, 652, 2999, 476, 271, 281, 3954, 652, 815, 630, 271, 952, 9041, 335, 2988, 344, 3116, 910, 6577, 652, 2020, 825, 1948, 4990, 856, 3954, 652, 284, 272, 454, 825, 952, 3954, 652, 2652, 476, 272, 281, 3954, 652, 815, 476, 2004, 692, 825, 1948, 9337, 519, 9268, 2418, 454, 825, 1582, 20216, 1440, 338, 815, 1163, 3464, 454, 825, 1582, 269, 32188, 338, 815, 6698, 454, 825, 1582, 6155, 580, 1080, 815, 9704, 454, 825, 1582, 4732, 273, 323, 815, 521, 273, 323, 454, 825, 1582, 269, 24987, 815, 2626, 454, 825, 1582, 6155, 626, 3307, 815, 3982, 454, 825, 1582, 7456, 527, 1968, 815, 21055, 454, 825, 1582, 6155, 523, 652, 815, 3954, 652, 454, 825, 1582, 19709, 743, 815, 3616, 454, 825, 1582, 269, 14620, 846, 815, 8231, 846, 454, 825, 1582, 11519, 6919, 815, 1913, 454, 825, 1582, 11519, 514, 20777, 815, 23380, 454, 825, 1582, 11519, 573, 580, 1080, 815, 7329, 580, 1080, 454, 825, 1582, 11519, 1410, 1440, 338, 815, 630, 1410, 1440, 338, 267, 1535, 338, 267, 5288, 267, 512, 338, 267, 861, 916, 994, 825, 1582, 11519, 15263, 539, 815, 476, 272, 692, 476, 1948, 1711, 543, 29289, 519, 3009, 454, 476, 1948, 10691, 292, 281, 519, 6383, 3009, 666, 723, 811, 982, 476, 736, 29005, 7161, 2676, 476, 1948, 799, 12651, 513, 16522, 1314, 13286, 538, 8713, 3155, 269, 589, 960, 19925, 568, 547, 946, 12877, 13695, 454, 476, 1948, 3079, 630, 6518, 3085, 1405, 3100, 547, 723, 713, 20159, 994, 476, 1219, 9041, 2181, 6768, 4311, 17107, 825, 3490, 815, 1582, 12500, 848, 454, 825, 6698, 815, 1582, 269, 32188, 338, 454, 825, 9704, 815, 1582, 6155, 580, 1080, 454, 825, 521, 273, 323, 815, 1582, 4732, 273, 323, 454, 825, 546, 273, 328, 815, 1582, 6155, 273, 328, 454, 825, 2626, 815, 1582, 269, 24987, 454, 825, 3982, 815, 1582, 6155, 626, 3307, 454, 825, 21055, 815, 1582, 7456, 527, 1968, 454, 825, 26195, 815, 1582, 269, 523, 341, 454, 825, 3009, 815, 1582, 6983, 1712, 454, 825, 556, 4650, 815, 1582, 18622, 4650, 454, 825, 3954, 652, 815, 1582, 6155, 523, 652, 454, 825, 3616, 815, 1582, 19709, 743, 454, 825, 521, 2033, 815, 1582, 4732, 2033, 454, 825, 24633, 815, 1582, 9884, 7568, 454, 825, 1904, 815, 1582, 269, 9953, 454, 825, 8231, 846, 815, 1582, 269, 14620, 846, 692, 825, 1913, 815, 1582, 11519, 6919, 454, 825, 23380, 815, 1582, 11519, 514, 20777, 454, 825, 7329, 580, 1080, 815, 1582, 11519, 573, 580, 1080, 454, 825, 630, 1410, 1440, 338, 267, 1535, 338, 267, 5288, 267, 512, 338, 267, 861, 916, 264, 815, 1582, 11519, 1410, 1440, 338, 692, 825, 1948, 3977, 2196, 6724, 454, 825, 952, 1582, 269, 14620, 846, 1299, 1582, 18192, 303, 912, 8587, 1820, 2891, 734, 1496, 13892, 316, 4534, 257, 1341, 562, 331, 1341, 6443, 4311, 4732, 1511, 263, 638, 1774, 284, 272, 1070, 694, 335, 284, 333, 331, 264, 1341, 562, 331, 1341, 834, 734, 1496, 270, 13892, 316, 4534, 15419, 825, 1948, 1948, 4894, 8655, 6698, 689, 3982, 2516, 1496, 24175, 2248, 539, 676, 674, 761, 338, 2639, 825, 1948, 952, 521, 273, 323, 912, 825, 1948, 567, 1948, 9337, 23380, 8424, 454, 825, 1948, 567, 585, 630, 330, 267, 642, 264, 538, 521, 273, 323, 29096, 10031, 825, 1948, 672, 585, 546, 338, 538, 3982, 912, 825, 1948, 11434, 952, 737, 538, 546, 338, 912, 825, 1948, 1363, 23380, 269, 26303, 9230, 323, 267, 642, 264, 585, 546, 538, 546, 338, 952, 546, 11203, 737, 994, 825, 1948, 567, 1948, 9337, 3982, 454, 825, 1948, 567, 3982, 815, 1592, 263, 21860, 3287, 264, 585, 1535, 538, 630, 18528, 3287, 267, 521, 273, 323, 269, 12399, 28829, 585, 1535, 538, 3982, 264, 952, 7003, 3287, 264, 3436, 476, 272, 2020, 825, 1948, 4570, 9704, 585, 1142, 3090, 454, 825, 4570, 815, 9598, 4590, 825, 585, 521, 538, 6698, 912, 8587, 952, 521, 538, 521, 273, 323, 281, 3136, 454, 8587, 4570, 314, 338, 316, 815, 1592, 5560, 580, 1080, 6155, 29924, 5560, 585, 630, 343, 267, 546, 264, 538, 23380, 952, 1535, 2652, 521, 4917, 825, 1948, 1721, 737, 538, 15044, 263, 20777, 269, 12399, 3890, 2567, 1820, 325, 2891, 346, 330, 348, 9847, 2715, 341, 348, 2580, 642, 284, 20777, 25208, 20285, 825, 1948, 693, 713, 1448, 649, 666, 4019, 930, 646, 22618, 556, 2914, 3876, 3652, 912, 825, 1948, 2262, 815, 1871, 476, 9847, 1871, 815, 2262, 267, 952, 1871, 568, 1863, 540, 21229, 600, 2045, 6698, 454, 825, 952, 521, 2033, 3436, 476, 271, 912, 8587, 585, 630, 328, 267, 630, 1410, 1440, 267, 1130, 267, 737, 4297, 538, 26246, 263, 1410, 1440, 338, 2187, 1038, 1948, 2745, 325, 2891, 314, 346, 328, 348, 316, 630, 346, 1410, 1440, 256, 337, 9574, 2715, 1998, 256, 337, 9574, 2715, 330, 16585, 1535, 338, 28121, 343, 338, 348, 5288, 28121, 341, 338, 348, 2580, 1535, 338, 24210, 338, 5157, 3910, 5288, 284, 341, 338, 5157, 20285, 1038, 1948, 834, 283, 5320, 285, 2652, 2999, 1410, 1440, 285, 257, 543, 1163, 337, 3568, 1100, 21229, 600, 2045, 6698, 912, 1038, 1948, 9497, 283, 5320, 285, 2652, 2999, 1410, 1440, 285, 2580, 7183, 267, 476, 272, 264, 476, 25341, 476, 9497, 283, 1410, 1440, 285, 2580, 834, 283, 5320, 285, 2580, 476, 274, 994, 1038, 952, 737, 2652, 476, 272, 912, 16875, 2262, 815, 1535, 1440, 815, 7183, 454, 16875, 544, 815, 556, 6230, 2255, 16868, 262, 315, 338, 265, 28381, 8443, 262, 1341, 6698, 1341, 678, 11172, 266, 9385, 4153, 338, 265, 2525, 315, 338, 16732, 269, 266, 9385, 338, 265, 259, 3299, 1163, 337, 994, 16875, 952, 544, 912, 2018, 630, 5320, 267, 1535, 1440, 264, 815, 544, 3052, 12952, 4590, 16875, 3116, 912, 2018, 1948, 2119, 281, 834, 283, 1410, 1440, 285, 2652, 2999, 5320, 285, 4840, 2018, 544, 815, 556, 6230, 2255, 16868, 262, 315, 338, 16732, 269, 266, 286, 9385, 338, 265, 2525, 315, 338, 265, 28381, 8443, 262, 1341, 6698, 1341, 678, 11172, 266, 9385, 4153, 338, 265, 259, 3299, 1163, 337, 994, 2018, 952, 544, 912, 23526, 630, 343, 1440, 267, 2262, 264, 815, 544, 3052, 12952, 10797, 16875, 952, 2262, 543, 1163, 337, 912, 2018, 952, 556, 269, 14142, 16868, 262, 28381, 9131, 1341, 6698, 1341, 678, 11172, 10954, 348, 3299, 1535, 1440, 264, 568, 7183, 912, 23526, 952, 8231, 846, 3436, 476, 271, 281, 1820, 325, 2891, 314, 27802, 21114, 2750, 16054, 281, 13868, 630, 346, 339, 16585, 9847, 630, 346, 343, 1440, 348, 815, 2715, 5320, 348, 13580, 2580, 512, 284, 1206, 5157, 7481, 23526, 1163, 3464, 5157, 316, 815, 630, 343, 1440, 267, 2262, 267, 476, 274, 994, 23526, 630, 343, 338, 5157, 3910, 5288, 5157, 8079, 815, 630, 341, 338, 5157, 3910, 1535, 338, 5157, 20285, 1038, 1948, 834, 283, 5320, 285, 815, 2999, 842, 285, 9899, 630, 16838, 811, 3608, 547, 946, 4534, 817, 793, 3079, 994, 1038, 1948, 9497, 283, 5320, 285, 2580, 2999, 842, 285, 267, 476, 273, 264, 476, 25341, 9497, 283, 842, 285, 2580, 834, 283, 5320, 285, 2580, 476, 274, 994, 1038, 952, 737, 2652, 476, 273, 912, 16875, 952, 1163, 337, 314, 271, 316, 2652, 1412, 346, 262, 543, 1163, 337, 15631, 272, 316, 2652, 1412, 348, 12466, 2018, 2262, 815, 1163, 337, 314, 272, 18737, 272, 2639, 2018, 952, 782, 3287, 538, 6698, 585, 1535, 538, 2262, 2187, 23526, 952, 8231, 846, 3436, 476, 271, 281, 1820, 325, 2891, 314, 27802, 21114, 2750, 16054, 281, 13868, 630, 346, 339, 16585, 9847, 630, 346, 1998, 348, 815, 2715, 13997, 5320, 3686, 348, 13580, 2580, 512, 284, 1206, 5157, 7481, 23526, 1163, 3464, 5157, 316, 815, 630, 842, 273, 19668, 263, 1998, 267, 3490, 284, 1015, 1070, 2262, 267, 476, 274, 994, 23526, 630, 343, 338, 5157, 3910, 5288, 5157, 8079, 815, 630, 341, 338, 5157, 3910, 1535, 338, 5157, 20285, 825, 1948, 556, 4650, 519, 7215, 883, 513, 811, 3617, 6268, 1931, 454, 825, 952, 556, 4650, 912, 8587, 1948, 693, 1142, 3942, 8359, 519, 4082, 609, 519, 1906, 652, 6967, 7399, 454, 8587, 546, 815, 1305, 4433, 273, 323, 269, 12399, 15405, 8587, 630, 338, 267, 678, 264, 815, 630, 4289, 19572, 1592, 9217, 585, 630, 328, 267, 9041, 264, 538, 26246, 263, 1910, 916, 21875, 8587, 1948, 19497, 649, 1031, 912, 8587, 1948, 454, 8587, 1948, 3546, 630, 476, 568, 2626, 286, 476, 3738, 476, 630, 258, 540, 796, 817, 580, 539, 6698, 264, 476, 910, 263, 15893, 540, 1007, 6698, 649, 1205, 994, 8587, 1948, 325, 333, 815, 25754, 1775, 281, 630, 1410, 1440, 338, 5157, 6012, 273, 316, 2652, 476, 271, 267, 7003, 3287, 338, 5157, 4940, 18528, 2397, 5560, 24270, 910, 6352, 17635, 338, 5157, 4940, 18528, 2397, 5560, 267, 1535, 338, 5157, 316, 21875, 8587, 1948, 454, 8587, 1948, 1631, 649, 946, 912, 8587, 1948, 454, 8587, 1948, 25639, 630, 476, 568, 2626, 286, 476, 3738, 476, 630, 825, 2698, 7399, 585, 796, 817, 11220, 6698, 825, 3738, 476, 910, 263, 15893, 540, 1007, 6698, 649, 1205, 994, 8587, 535, 333, 815, 25754, 1775, 281, 630, 1410, 1440, 338, 5157, 6012, 273, 316, 2652, 476, 271, 267, 9062, 12759, 263, 20777, 20572, 8079, 585, 1535, 538, 1535, 338, 5157, 316, 952, 1535, 711, 538, 546, 1070, 910, 6352, 17635, 338, 5157, 4940, 18528, 2397, 5560, 267, 1535, 338, 5157, 316, 21875, 8587, 1247, 678, 912, 1038, 1775, 815, 1295, 16868, 267, 1883, 284, 325, 333, 994, 1038, 521, 6910, 9217, 994, 1038, 546, 269, 26303, 3287, 338, 5157, 3910, 5288, 5157, 7481, 1038, 678, 31927, 9217, 994, 8587, 1948, 9337, 519, 8638, 454, 8587, 1163, 3464, 815, 1592, 263, 1410, 1440, 338, 5157, 316, 585, 1775, 538, 521, 994, 8587, 1535, 338, 815, 1592, 3287, 338, 5157, 316, 585, 1775, 538, 521, 994, 8587, 5288, 815, 1592, 17635, 338, 5157, 316, 585, 1775, 538, 521, 994, 8587, 512, 338, 815, 1592, 263, 1206, 5157, 316, 585, 1775, 538, 521, 2020, 825, 952, 8231, 846, 1299, 1582, 18192, 296, 912, 8587, 1948, 3977, 24626, 1344, 454, 8587, 1820, 325, 2891, 314, 19668, 28121, 19668, 9574, 9704, 28121, 21745, 1080, 9574, 6698, 28121, 32188, 338, 256, 337, 9574, 3982, 28121, 23251, 3307, 348, 316, 5602, 8587, 1820, 325, 2891, 314, 338, 273, 323, 28121, 338, 273, 323, 9574, 546, 273, 328, 28121, 323, 273, 328, 348, 316, 5602, 8587, 1948, 3977, 519, 6061, 4640, 454, 8587, 630, 1087, 267, 546, 264, 815, 630, 4289, 19572, 1305, 4433, 273, 323, 269, 12399, 3890, 4917, 8587, 585, 630, 328, 267, 1535, 264, 538, 26246, 3287, 338, 2187, 1038, 521, 338, 6910, 4433, 2745, 325, 2891, 20719, 324, 16585, 1496, 346, 333, 15396, 346, 332, 348, 316, 2580, 552, 284, 1206, 5157, 3910, 562, 284, 6352, 3287, 6155, 29924, 5560, 24270, 544, 284, 6352, 17635, 338, 5157, 4940, 18528, 2397, 5560, 267, 1535, 4297, 4917, 1038, 546, 269, 26303, 3287, 267, 5288, 5157, 7481, 8587, 1820, 325, 2891, 314, 1598, 1538, 344, 281, 2715, 1087, 348, 316, 2580, 521, 338, 284, 21860, 263, 1087, 267, 694, 335, 8782, 9847, 1412, 11723, 825, 1948, 2490, 3982, 883, 513, 9598, 11837, 2999, 32188, 285, 9847, 2999, 1410, 7672, 6698, 11417, 825, 952, 711, 568, 27349, 5560, 626, 3307, 267, 9598, 2187, 8587, 546, 815, 9598, 4590, 8587, 585, 521, 338, 538, 3982, 912, 1038, 952, 521, 2033, 3436, 476, 271, 543, 8231, 846, 1299, 1582, 18192, 310, 543, 7003, 263, 3553, 263, 1087, 1040, 18528, 2397, 4433, 273, 323, 269, 12399, 3890, 4297, 3436, 7003, 5560, 580, 1080, 2187, 16875, 1820, 325, 2891, 314, 27802, 21114, 2750, 16054, 281, 654, 27073, 5058, 281, 3982, 7807, 257, 346, 1087, 4153, 257, 814, 811, 6698, 982, 2139, 9704, 316, 5602, 1038, 585, 521, 538, 521, 338, 912, 16875, 952, 521, 711, 538, 546, 281, 546, 314, 338, 316, 815, 1305, 4590, 16875, 546, 314, 338, 4940, 26303, 3287, 585, 1535, 538, 521, 338, 952, 1535, 11203, 521 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 31714, 689, 3309, 2686, 10080, 723, 3838, 2123, 2833, 540, 538, 1410, 2364, 762, 13341, 602, 4161, 6671, 18765, 540, 4641, 563, 763, 6228, 540, 552, 1492, 9418, 9988, 12651, 7096, 2055, 827, 519, 2470, 540, 9637, 519, 1310, 5158, 543, 519, 25872, 540, 782, 6228, 563, 19808, 9711, 593, 5980, 543, 27801, 7010, 454, 14582, 3971, 538, 552, 1492, 9418, 9259, 666, 3337, 2686, 2853, 1514, 8155, 543, 3909, 5389, 12018, 7104, 23381, 338, 543, 1367, 5615, 563, 24145, 1155, 543, 3203, 454, 288, 18308, 543, 5159, 3136, 547, 2263, 4798, 540, 519, 552, 1492, 9418, 538, 741, 1568, 2870, 6386, 602, 16436, 3988, 543, 13588, 547, 14719, 622, 519, 13655, 540, 6228, 563, 16954, 9177, 22108, 454, 5804, 3625, 321, 13831, 8874, 547, 4950, 1509, 525, 8100, 547, 552, 1492, 9418, 7919, 610, 9259, 829, 341, 1228, 2442, 2528, 10452, 2486, 11972, 22906, 609, 519, 7164, 563, 5719, 321, 6064, 532, 3733, 2195, 543, 16700, 935, 8526, 454, 306, 651, 696, 923, 4161, 6811, 540, 552, 1492, 9418, 6228, 19696, 3668, 540, 12170, 2963, 543, 1045, 3183, 3741, 540, 7787, 14374, 547, 3181, 6064, 14868, 543, 20887, 563, 14722, 3343, 547, 8495, 552, 1492, 9418, 9259, 998, 11826, 17634, 543, 8343, 7311, 3741, 540, 25949, 543, 1843, 2032, 547, 20559, 5168, 689, 5708, 563, 4910, 1051, 532, 27801, 7010, 454, 1103, 3695, 552, 1492, 9418, 9259, 621, 568, 1898, 547, 2463, 3309, 2686, 5380, 543, 31831, 689, 25412, 5375, 3621, 26336, 5196, 6805, 610, 5289, 23381, 338, 563, 306, 17567, 6278, 609, 552, 1492, 9418, 4978, 3340, 4656, 540, 2686, 22740, 8481, 9319, 3261, 566, 610, 14226, 540, 10723, 5389, 585, 5010, 2744, 563, 29936, 538, 24356, 661, 1492, 9418, 26263, 1580, 320, 454, 763, 21792, 2470, 540, 552, 1492, 9418, 9259, 6799, 27696, 2591, 585, 3173, 945, 1590, 6330, 16148, 2833, 543, 16148, 12886, 538, 741, 13753, 563, 8601, 3395, 1719, 538, 31510, 5436, 1382, 6848, 16663, 26251, 1167, 15758, 3978, 14374, 883, 552, 1492, 9418, 9259, 543, 2124, 326, 908, 971, 18697, 547, 519, 535, 2590, 525, 540, 24243, 563, 31306, 3194, 19648, 454, 18770, 1734, 538, 2029, 971, 607, 5691, 4641, 543, 5841, 4987, 2709, 1007, 18817, 585, 3695, 552, 1492, 9418, 26441, 543, 9750, 519, 4395, 4536, 540, 1480, 1702, 563, 30655, 566, 2066, 10459, 1519, 6530, 19795, 543, 1612, 777, 2134, 1108, 666, 10802, 938, 1620, 540, 552, 1492, 9418, 9259, 543, 6536, 5499, 1382, 16097, 563, 763, 1353, 540, 552, 1492, 9418, 9259, 949, 1217, 9354, 2853, 971, 607, 1648, 7067, 543, 5289, 13508, 5356, 11455, 4485, 547, 1072, 543, 8171, 563, 11900, 2074, 6591, 689, 4974, 552, 1492, 9418, 26441, 1223, 8300, 519, 1646, 540, 5499, 4066, 689, 9637, 22519, 3496, 3457, 547, 4244, 12331, 540, 2792, 563, 1103, 519, 552, 3164, 343, 335, 21505, 7122, 540, 1480, 14374, 519, 1523, 540, 519, 552, 1492, 9418, 5713, 607, 513, 12576, 540, 519, 3808, 1652, 13655, 32261, 3408, 269, 6787, 9763, 998, 519, 7828, 540, 13299, 2257, 610, 17035, 519, 7872, 540, 552, 1492, 9418, 6228, 20217, 721, 547, 14719, 622, 938, 1747, 538, 519, 26355, 543, 9784, 519, 28430, 5898, 540, 519, 7164, 563, 11902, 17988, 6168, 25334, 4601, 661, 1492, 9418, 454, 1432, 568, 519, 3017, 1063, 552, 1492, 9418, 543, 16750, 888, 4692, 552, 1492, 9418, 7919, 2170, 609, 519, 2168, 1158, 888, 6701, 972, 1022, 3621, 2090, 5885, 519, 6228, 540, 552, 1492, 9418, 9259, 888, 1692, 798, 2686, 4978, 3310, 11994, 540, 552, 1492, 9418, 9988, 888, 3674, 621, 2009, 547, 5968, 609, 552, 1492, 9418, 7919, 998, 9066, 610, 12012, 2829, 540, 9637, 286, 0, 2691, 621, 2501, 547, 2870, 513, 2922, 543, 5150, 960, 1604, 267, 1101, 5351, 2866, 568, 606, 1898, 5057, 269, 31071, 10913, 543, 2564, 18002, 616, 20437, 267, 855, 2348, 5520, 8036, 538, 1101, 5351, 3648, 8309, 547, 4180, 519, 1134, 5630, 540, 707, 2319, 269, 901, 2376, 786, 2263, 519, 2956, 540, 9746, 1101, 5351, 2866, 538, 519, 9036, 543, 519, 2640, 621, 6770, 563, 3412, 9712, 622, 1101, 5351, 568, 2565, 538, 10913, 267, 8151, 689, 5634, 7063, 547, 4049, 18002, 269, 31287, 2866, 538, 1101, 5351, 28382, 2043, 609, 519, 1983, 547, 4431, 24847, 543, 3927, 538, 519, 9036, 269, 901, 2656, 3210, 568, 2629, 538, 11689, 2358, 519, 13676, 1268, 779, 2783, 543, 7303, 519, 3510, 689, 29083, 267, 5732, 1818, 519, 3017, 1063, 513, 2407, 6051, 543, 513, 811, 4049, 6364, 563, 26212, 527, 2358, 9036, 1101, 5351, 2866, 711, 1152, 10597, 6595, 3210, 855, 849, 7339, 919, 4220, 543, 6971, 15668, 269, 1160, 5562, 3800, 267, 971, 607, 4180, 9441, 23982, 267, 6542, 513, 7029, 547, 3106, 267, 799, 666, 723, 3656, 2640, 676, 15386, 513, 10279, 540, 1416, 269, 769, 519, 2680, 540, 606, 10071, 267, 2348, 8036, 10986, 593, 21935, 16881, 1697, 12319, 543, 8989, 267, 4180, 10220, 609, 9036, 3106, 6042, 563, 2691, 5520, 917, 602, 741, 16108, 2418, 741, 3106, 543, 1134, 5630, 267, 621, 666, 5818, 27907, 543, 6015, 269, 589, 5150, 9036, 11942, 9547, 543, 6278, 1851, 5520, 538, 741, 5107, 269, 5047, 267, 1373, 8036, 538, 1101, 5351, 16877, 5520, 543, 3947, 873, 513, 2631, 540, 22920, 543, 1582, 12431, 3293, 1145, 267, 6616, 789, 666, 1900, 538, 547, 948, 741, 9164, 610, 1256, 4688, 2729, 952, 2877, 563, 1103, 1978, 3871, 267, 5401, 543, 1697, 1101, 5351, 666, 17108, 606, 9441, 779, 6051, 543, 2132, 547, 960, 269, 1280, 3236, 267, 28720, 31214, 610, 1210, 606, 12747, 5007, 1219, 2320, 650, 1807, 630, 288, 3633, 264, 16172, 1310, 513, 13487, 10654, 666, 3648, 3986, 6668, 8458, 543, 6922, 1047, 2634, 3441, 269, 2060, 8036, 5520, 593, 21935, 267, 519, 9036, 3587, 10930, 2949, 267, 2810, 519, 10171, 540, 3811, 6304, 563, 19617, 2730, 2477, 543, 4525, 23626, 1808, 3656, 4441, 585, 9036, 1101, 5351, 2866, 269, 14146, 619, 723, 519, 5539, 547, 3715, 513, 5150, 2324, 1604, 543, 2327, 15792, 1101, 5351, 2200, 269, 23299, 547, 15666, 547, 891, 6042, 666, 1267, 538, 22717, 543, 3656, 4539, 269, 9182, 267, 10115, 538, 1101, 5351, 2866, 711, 1152, 25389, 3656, 13800, 855, 849, 19752, 513, 7029, 547, 30176, 513, 2922, 543, 5360, 5050, 9036, 563, 5575, 5351, 2866, 4422, 3564, 5466, 7063, 282, 621, 849, 22316, 5520, 585, 1585, 18002, 269, 901, 666, 1331, 6616, 875, 547, 4431, 547, 11642, 267, 3114, 29908, 267, 610, 2067, 12469, 269, 9751, 538, 1101, 5351, 28382, 5520, 609, 519, 1983, 547, 2611, 9350, 896, 2604, 267, 2708, 4220, 267, 543, 1491, 3617, 3527, 547, 16102, 2933, 543, 741, 9164, 1282, 18002, 563, 1103, 18002, 267, 2500, 16542, 543, 2792, 616, 4105, 269, 3689, 5351, 2866, 19156, 519, 4644, 540, 2312, 2792, 543, 11558, 1851, 5520, 269, 9751, 7653, 3335, 4125, 16542, 538, 12570, 543, 14775, 547, 20533, 18002, 267, 5009, 22122, 543, 3972, 1851, 2319, 2818, 269, 1452, 1983, 8831, 3564, 1101, 5351, 3871, 267, 7393, 2949, 5698, 538, 519, 9036, 563, 15987, 519, 909, 12506, 1942, 540, 1101, 5351, 2866, 949, 581, 9228, 607, 606, 13258, 267, 621, 1419, 2164, 538, 1713, 1279, 3856, 9806, 269, 16797, 543, 2500, 9746, 1101, 5351, 666, 2061, 7063, 689, 32117, 267, 13302, 519, 991, 585, 3573, 2564, 2126, 269, 901, 267, 538, 2490, 267, 6971, 2564, 3790, 267, 4600, 685, 13180, 6811, 267, 543, 519, 2530, 540, 960, 17058, 1813, 547, 7063, 269, 589, 1134, 1790, 10517, 1563, 13781, 3587, 513, 3407, 10697, 267, 7700, 547, 513, 8902, 5377, 1899, 585, 519, 2754, 563, 5575, 5351, 2866, 538, 519, 9036, 568, 711, 1175, 513, 9431, 10421, 282, 621, 568, 513, 4105, 5057, 540, 2870, 513, 2922, 543, 5150, 960, 1604, 269, 634, 2640, 8831, 3564, 7525, 3210, 547, 7063, 543, 18002, 282, 789, 7854, 4824, 9441, 27907, 267, 3656, 10220, 267, 1942, 9806, 267, 543, 8476, 16542, 269, 30799, 538, 1101, 5351, 2866, 568, 513, 7029, 547, 519, 1134, 5630, 540, 707, 5520, 543, 519, 2949, 1967, 540, 707, 13539, 269, 0, 1103, 713, 5736, 540, 15398, 2825, 4656, 267, 9746, 5539, 585, 519, 1604, 814, 3144, 8998, 3942, 269, 634, 2165, 968, 13582, 31290, 892, 814, 7153, 607, 513, 6161, 267, 1129, 4328, 519, 22801, 24575, 540, 10357, 1922, 5987, 17349, 1510, 6086, 633, 3527, 269, 2060, 6800, 4742, 5051, 1167, 518, 940, 267, 519, 593, 639, 8813, 593, 4213, 267, 16113, 2706, 5658, 1115, 267, 547, 6086, 5573, 741, 7029, 547, 8076, 2825, 6940, 563, 308, 326, 7701, 267, 28330, 547, 3875, 6082, 267, 12066, 956, 609, 713, 32252, 3512, 269, 27933, 560, 519, 21684, 540, 2472, 1630, 8463, 10357, 23655, 1145, 267, 23243, 1063, 6725, 726, 9081, 543, 9758, 7760, 568, 16122, 269, 1306, 11358, 5716, 538, 519, 10685, 26750, 267, 2706, 5658, 1115, 29937, 1713, 3310, 936, 7082, 5079, 543, 8733, 1764, 563, 15703, 21051, 663, 534, 2706, 5658, 1115, 616, 1818, 862, 754, 762, 26058, 2509, 536, 7431, 535, 728, 2825, 6940, 269, 589, 8037, 1383, 568, 2961, 10915, 712, 267, 799, 814, 5189, 23431, 10918, 11435, 538, 12972, 609, 519, 2518, 3350, 547, 26193, 5068, 3653, 269, 2961, 10915, 712, 8362, 7512, 29123, 547, 9784, 23431, 8925, 676, 7598, 513, 5279, 585, 891, 11435, 267, 5807, 513, 6521, 538, 7082, 7180, 269, 4014, 3355, 4187, 1759, 593, 519, 2404, 1942, 729, 10423, 267, 971, 3800, 20244, 4161, 519, 4567, 28943, 543, 5337, 924, 6209, 19929, 7282, 519, 2825, 17167, 540, 13418, 269, 898, 779, 4502, 15663, 602, 1247, 11800, 899, 10866, 8111, 21466, 543, 13317, 19255, 11825, 7620, 4553, 9290, 267, 789, 2663, 26871, 1540, 547, 3246, 2582, 14025, 5068, 11435, 547, 5561, 563, 32701, 267, 519, 3460, 2509, 3102, 2825, 6940, 568, 3818, 8820, 269, 12694, 7854, 3743, 1587, 27126, 267, 3653, 2359, 267, 543, 2146, 1489, 269, 8111, 5658, 1115, 1590, 4497, 538, 11455, 14365, 2293, 267, 9319, 16496, 7341, 585, 6071, 25852, 269, 24063, 779, 6805, 2825, 7341, 2709, 513, 6626, 20457, 269, 634, 2817, 5113, 5004, 16958, 630, 301, 4932, 288, 264, 814, 30082, 6659, 4656, 827, 3039, 31290, 267, 28409, 6800, 547, 3635, 28858, 543, 4656, 269, 901, 14223, 16877, 6800, 547, 3747, 11413, 543, 12477, 689, 14078, 563, 308, 326, 663, 534, 2706, 5658, 1115, 616, 5051, 9301, 519, 25872, 1063, 741, 13884, 543, 2825, 1134, 5630, 269, 15332, 1367, 7341, 267, 11528, 10593, 616, 1898, 269, 11622, 725, 1063, 2706, 5658, 1115, 267, 14273, 267, 543, 14519, 3180, 519, 1761, 547, 3715, 13387, 4264, 2853, 269, 8616, 267, 519, 4155, 6619, 568, 4101, 269, 11038, 7687, 267, 7082, 4187, 547, 1689, 267, 543, 16283, 9431, 10850, 10460, 23665, 269, 1717, 267, 891, 9465, 1058, 581, 2938, 607, 27857, 585, 5647, 2864, 982, 1175, 5874, 585, 538, 9146, 563, 763, 5397, 585, 8076, 2825, 6940, 568, 18534, 12686, 24063, 779, 2706, 21466, 5251, 269, 634, 6370, 1996, 3039, 31290, 19329, 7104, 3646, 689, 2706, 5658, 1115, 267, 6800, 267, 543, 9431, 4703, 269, 3117, 28366, 1590, 29506, 1125, 6811, 543, 3747, 13597, 267, 1247, 4213, 1058, 22299, 11413, 543, 4052, 3268, 269, 1306, 519, 3039, 3350, 12374, 11610, 267, 2706, 5658, 1115, 15386, 15889, 3356, 786, 2744, 513, 8013, 6316, 543, 3565, 547, 513, 22928, 543, 8902, 24063, 269, 0, 25205, 13519, 14317, 568, 513, 1199, 1227, 24892, 1982, 2966, 585, 1004, 945, 723, 1185, 513, 2295, 4323, 267, 2295, 5821, 267, 2587, 328, 6955, 7360, 267, 2295, 6391, 267, 610, 824, 2295, 2175, 269, 901, 1982, 6663, 547, 4217, 2550, 538, 741, 6051, 689, 2295, 5773, 543, 2087, 741, 2949, 2168, 267, 2790, 267, 543, 1514, 8647, 563, 763, 10872, 849, 11394, 547, 11689, 1047, 267, 3500, 610, 1256, 9258, 519, 11144, 540, 9025, 2068, 269, 634, 3102, 1935, 5849, 602, 2550, 616, 711, 1175, 5701, 855, 849, 13473, 827, 741, 2175, 543, 875, 547, 4383, 873, 538, 519, 1279, 2196, 563, 763, 22020, 540, 9315, 13519, 29407, 454, 25205, 13519, 14317, 3322, 1614, 1883, 3334, 281, 2168, 3635, 2866, 267, 2069, 593, 2295, 268, 11794, 2713, 267, 543, 5646, 18522, 547, 2569, 2566, 543, 948, 2550, 2132, 547, 606, 3742, 1272, 269, 3962, 5057, 568, 2629, 547, 519, 3461, 779, 6051, 543, 5571, 1072, 2359, 563, 268, 11644, 9751, 281, 901, 2337, 596, 1451, 875, 547, 3635, 9108, 267, 7794, 707, 6091, 267, 543, 2087, 707, 26176, 2088, 269, 2659, 3635, 1544, 786, 581, 1759, 593, 707, 2123, 5759, 267, 2115, 267, 543, 4690, 269, 8617 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 281, 11193, 5274, 1143, 910, 634, 4860, 2526, 540, 3281, 6842, 622, 5845, 20395, 344, 692, 7072, 692, 2026, 649, 7832, 2390, 3695, 519, 1523, 540, 11193, 5274, 1143, 267, 1577, 721, 1101, 3801, 547, 10146, 922, 3140, 2796, 269, 634, 2165, 1412, 305, 10718, 262, 18575, 32193, 267, 1129, 4328, 2342, 781, 5912, 689, 519, 5664, 12698, 547, 29678, 1063, 519, 476, 1691, 628, 543, 476, 1704, 628, 5553, 269, 901, 1974, 14754, 7415, 14759, 2066, 1585, 4610, 971, 607, 1148, 267, 3332, 267, 2257, 267, 6214, 267, 543, 6138, 269, 7324, 891, 7214, 10593, 267, 1480, 1143, 7153, 607, 513, 12316, 3350, 14957, 585, 1480, 1761, 267, 15683, 267, 543, 4502, 269, 6239, 547, 713, 16809, 729, 519, 3661, 602, 1004, 1223, 3337, 741, 3186, 514, 625, 998, 1565, 267, 16495, 267, 543, 18523, 6278, 269, 4935, 267, 24960, 545, 18129, 2968, 7533, 3334, 540, 11193, 5274, 1143, 780, 4089, 476, 272, 281, 20223, 11193, 5274, 1143, 692, 4263, 922, 4295, 267, 11193, 5274, 1143, 15091, 16712, 2069, 1759, 593, 8106, 5931, 689, 9147, 10255, 543, 7507, 269, 6206, 5515, 899, 8891, 337, 1105, 630, 9873, 275, 268, 15389, 275, 264, 543, 16902, 990, 28839, 623, 4815, 546, 7578, 21001, 526, 7637, 630, 16409, 274, 268, 14983, 275, 264, 13084, 16845, 519, 1353, 540, 5824, 543, 5259, 4654, 267, 7175, 1463, 1569, 547, 3312, 1568, 676, 15806, 899, 18573, 267, 17127, 267, 595, 545, 3266, 267, 543, 7354, 29132, 269, 3414, 11826, 14172, 267, 789, 8179, 547, 2847, 633, 3504, 7326, 1247, 5807, 2565, 3206, 1983, 1898, 585, 10188, 4207, 2152, 780, 4913, 267, 1480, 1235, 1705, 711, 10205, 3909, 4978, 282, 3079, 267, 789, 6322, 547, 11753, 7787, 14374, 609, 5289, 5132, 269, 9182, 267, 1480, 626, 2093, 15449, 730, 3875, 3344, 540, 2486, 267, 1519, 4984, 267, 7881, 267, 2069, 267, 543, 1514, 10304, 780, 4089, 476, 273, 281, 634, 28249, 540, 15215, 543, 5845, 20395, 344, 692, 7628, 519, 11193, 5736, 267, 17493, 543, 620, 916, 15130, 941, 5097, 2404, 609, 4168, 21644, 269, 1717, 267, 1480, 1235, 556, 19960, 1441, 891, 2853, 1369, 513, 6626, 5943, 267, 13156, 873, 607, 3255, 585, 5837, 1646, 543, 18497, 16345, 2864, 982, 9003, 6411, 540, 14039, 1214, 269, 1280, 3236, 267, 25845, 1723, 11711, 331, 325, 334, 630, 16928, 279, 268, 16825, 272, 1070, 606, 7969, 16159, 543, 4116, 267, 9415, 1010, 10453, 547, 4497, 538, 26988, 2238, 607, 851, 540, 741, 6437, 269, 1261, 5156, 602, 971, 23339, 1131, 11349, 6568, 267, 28908, 267, 543, 5718, 7907, 2556, 585, 4742, 3743, 4961, 780, 20118, 267, 22784, 333, 15605, 966, 718, 320, 630, 9610, 276, 268, 13970, 278, 1070, 1776, 7986, 1480, 626, 267, 22309, 519, 5783, 781, 7829, 540, 620, 916, 267, 19163, 602, 621, 1185, 1831, 1932, 17531, 29386, 543, 1033, 3737, 689, 9758, 2115, 269, 5502, 267, 646, 6069, 9591, 2199, 1476, 337, 15715, 885, 1765, 14179, 27035, 12205, 6131, 547, 3246, 5351, 547, 519, 1447, 26752, 269, 1452, 29065, 3906, 4847, 2482, 15161, 547, 1491, 5279, 540, 5466, 6848, 2591, 267, 7551, 16779, 1312, 575, 1392, 543, 2256, 1392, 780, 4089, 476, 274, 281, 595, 15960, 22580, 543, 5398, 28054, 692, 3080, 8037, 4183, 540, 11193, 4872, 729, 519, 30436, 1857, 12106, 1141, 2528, 267, 6214, 267, 543, 16450, 23091, 269, 1306, 4683, 7740, 8057, 5763, 1512, 543, 3677, 267, 865, 1705, 13103, 1063, 3638, 543, 4057, 269, 769, 3210, 267, 1082, 1480, 1235, 1572, 585, 3152, 18523, 5539, 267, 28409, 3413, 23308, 4961, 547, 3565, 2509, 1455, 5370, 971, 607, 3506, 267, 10506, 267, 8021, 267, 543, 5989, 3785, 780, 288, 6305, 1383, 540, 713, 7678, 666, 581, 4767, 538, 23509, 267, 7977, 1107, 24903, 519, 12473, 10938, 540, 11193, 5274, 1143, 269, 7201, 519, 5709, 328, 1920, 781, 19121, 720, 267, 519, 2749, 23384, 1713, 7004, 267, 4742, 513, 13398, 585, 7499, 5647, 543, 3621, 13120, 269, 15328, 24982, 632, 262, 5709, 328, 630, 15946, 280, 268, 16409, 275, 1070, 519, 13653, 540, 519, 2405, 823, 534, 15913, 267, 14102, 1896, 11265, 26136, 267, 1519, 13039, 267, 20708, 625, 267, 543, 5493, 2167, 269, 8616, 267, 646, 849, 6462, 3872, 5238, 899, 519, 22456, 674, 328, 648, 660, 3626, 267, 799, 13631, 5640, 689, 2066, 2342, 269, 1635, 10115, 538, 1702, 23425, 267, 15328, 24982, 12479, 547, 6536, 513, 4121, 17069, 864, 5827, 540, 12044, 3294, 3927, 780, 1607, 11100, 540, 12716, 27715, 267, 14046, 13287, 267, 543, 1514, 6161, 20206, 12885, 519, 9759, 540, 11193, 5274, 1143, 1107, 606, 4998, 602, 26871, 828, 919, 1256, 2221, 269, 7073, 24960, 1235, 3136, 547, 9784, 891, 2418, 267, 16107, 741, 2200, 547, 3895, 7924, 267, 3782, 267, 2825, 5726, 267, 543, 824, 3123, 3844, 547, 1480, 8171, 780, 6962, 692, 1103, 3932, 267, 11193, 5274, 1143, 5129, 513, 2629, 1909, 538, 5935, 5375, 10340, 676, 14957, 585, 513, 11455, 1935, 547, 1565, 267, 13919, 267, 543, 18523, 10279, 269, 4706, 8561, 593, 17519, 24960, 344, 9788, 519, 24536, 585, 7766, 5322, 5009, 1514, 5126, 267, 7862, 267, 543, 7104, 13884, 269, 11569, 267, 519, 9371, 540, 11193, 5274, 1143, 3788, 4143, 267, 11121, 4207, 3646, 547, 1628, 6793, 2950, 543, 2087, 2949, 2298, 540, 1272, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 513, 1158, 1419, 6353, 676, 3728, 19550, 2713, 267, 2123, 27606, 267, 543, 1367, 18697, 267, 519, 957, 540, 4758, 1394, 547, 835, 779, 2146, 6763, 607, 513, 7096, 15266, 547, 519, 11972, 6891, 540, 8296, 543, 1582, 16531, 269, 898, 568, 513, 23972, 602, 25186, 2123, 2744, 543, 11498, 513, 4543, 1688, 547, 1346, 538, 991, 563, 763, 20106, 6508, 689, 4758, 1394, 547, 519, 2146, 568, 513, 8007, 2484, 811, 3407, 982, 1022, 1570, 15896, 267, 585, 621, 27862, 711, 1152, 519, 2729, 540, 1346, 649, 5905, 855, 849, 938, 1378, 563, 294, 1516, 1394, 547, 519, 2146, 568, 711, 1175, 606, 957, 540, 11587, 267, 621, 779, 513, 3460, 540, 20106, 543, 3483, 269, 898, 779, 827, 519, 7096, 9547, 602, 2501, 689, 1818, 513, 2318, 1764, 593, 519, 2729, 540, 1866, 543, 519, 1747, 649, 1289, 1753, 269, 769, 713, 5618, 3408, 267, 649, 786, 5490, 883, 519, 2295, 342, 9879, 2984, 267, 519, 2123, 2208, 267, 543, 519, 3838, 2631, 540, 2146, 602, 8451, 950, 2043, 543, 2516, 4142, 6510, 741, 942, 543, 2200, 547, 1489, 543, 10575, 3424, 1346, 1472, 873, 269, 15012, 593, 513, 3460, 540, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 10718, 5274, 1143, 257, 607, 851, 540, 834, 15771, 6579, 5308, 8008, 14176, 1315, 28073, 1315, 5274, 1143, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 1262, 8702, 547, 901, 20861, 281, 10435, 645, 1872, 956, 689, 2480, 337, 2255, 4373, 5556, 17894, 593, 2921, 707, 1101, 3268, 883, 519, 4241, 1158, 540, 15165, 1426, 7041, 256, 769, 713, 3102, 3391, 267, 649, 786, 3802, 596, 998, 1169, 2582, 1469, 2838, 547, 1118, 8949, 17079, 956, 267, 513, 2442, 29511, 344, 8970, 15165, 10150, 676, 3425, 5001, 780, 1262, 3721, 476, 272, 281, 21733, 3931, 23123, 630, 11742, 281, 5111, 476, 1789, 3764, 21143, 2414, 2253, 267, 596, 3513, 991, 547, 3489, 1896, 1898, 3688, 269, 5213, 1405, 5855, 952, 891, 2474, 616, 14542, 282, 649, 3513, 2491, 3388, 8499, 780, 265, 2878, 15933, 15188, 4995, 589, 1804, 2679, 1141, 1004, 4444, 17580, 5370, 269, 1411, 1522, 723, 2938, 835, 1354, 267, 855, 952, 711, 267, 1810, 1405, 5855, 1107, 1175, 1413, 1472, 2394, 596, 1265, 513, 2462, 2497, 609, 10477, 4191, 543, 1082, 9885, 563, 453, 266, 1677, 4283, 519, 4558, 912, 453, 453, 268, 13979, 519, 13675, 7450, 4433, 264, 7444, 267, 4180, 789, 13472, 1930, 610, 18711, 2647, 2614, 585, 596, 547, 1780, 998, 20354, 563, 453, 453, 268, 6875, 1507, 3268, 3330, 1247, 5329, 606, 3750, 856, 585, 824, 3425, 3001, 827, 269, 2142, 18762, 711, 547, 29424, 883, 873, 610, 1022, 3615, 563, 453, 266, 4495, 3330, 912, 453, 453, 268, 6733, 1472, 693, 519, 3875, 21684, 30528, 1164, 609, 1585, 2472, 269, 1411, 2811, 10478, 585, 1808, 3688, 267, 865, 3251, 5059, 2336, 453, 453, 268, 8844, 15891, 13124, 1063, 513, 529, 956, 267, 1210, 9543, 7140, 547, 6330, 15174, 1510, 2458, 4575, 609, 1866, 780, 3086, 267, 1577, 781, 5531, 938, 5820, 1384, 320, 269, 2878, 290, 1941, 22596, 4995, 20963, 8869, 1500, 689, 12015, 8970, 737, 1716, 1564, 563, 453, 266, 4855, 519, 11256, 513, 529, 548, 267, 2356, 6825, 676, 4191, 10023, 5961, 540, 7912, 267, 4006, 267, 610, 19323, 5370, 563, 453, 266, 2480, 534, 21684, 585, 11149, 13042, 834, 25468, 22596, 1701, 1358, 949, 581, 10833, 267, 11435, 267, 610, 23691, 563, 453, 266, 8564, 835, 8708, 602, 17015, 707, 7375, 3823, 10189, 2450, 543, 6216, 2012, 563, 321, 269, 2878, 309, 1122, 564, 762, 13813, 4995, 28966, 1031, 585, 31068, 3536, 563, 453, 266, 10361, 4724, 519, 5986, 7727, 3296, 267, 1419, 20922, 676, 2592, 540, 17428, 267, 31781, 267, 610, 27022, 563, 453, 266, 700, 11229, 14569, 610, 795, 13903, 609, 10297, 10834, 10448, 3282, 1543, 563, 453, 266, 7994, 513, 5078, 11480, 1759, 593, 922, 4320, 543, 6216, 10639, 563, 322, 269, 2878, 306, 5306, 4995, 24083, 718, 710, 4005, 532, 7393, 8137, 563, 453, 266, 16731, 519, 24996, 24646, 1858, 267, 3335, 1129, 1881, 676, 9343, 540, 30660, 5627, 23599, 6878, 563, 453, 266, 10576, 6070, 23752, 11149, 1851, 519, 5044, 269, 2368, 1522, 2161, 834, 14456, 6070, 2437, 834, 1675, 1242, 6070, 2437, 610, 3274, 834, 338, 5306, 4799, 453, 266, 17292, 835, 20220, 2687, 547, 2123, 6492, 7375, 610, 6003, 1374, 9029, 780, 1262, 3721, 476, 273, 281, 27759, 3718, 10628, 630, 11742, 281, 5111, 476, 1428, 3764, 21143, 6524, 862, 9760, 17079, 548, 2504, 267, 5965, 707, 29683, 547, 2327, 4398, 543, 3106, 780, 265, 2878, 298, 527, 7770, 9351, 4995, 5071, 730, 2230, 1369, 513, 23029, 1141, 6980, 616, 5423, 269, 1403, 18516, 267, 3406, 585, 4831, 339, 3591, 267, 29826, 267, 588, 7174, 267, 610, 14023, 2209, 607, 10832, 563, 453, 266, 13068, 1055, 7252, 676, 9900, 11319, 11735, 1022, 11991, 3688, 267, 971, 607, 18660, 8286, 267, 14233, 267, 610, 10051, 19269, 563, 453, 266, 3550, 1434, 8654, 2175, 676, 14577, 6885, 18707, 610, 7432, 593, 16841, 8279, 267, 952, 2877, 563, 453, 266, 19024, 3054, 2282, 513, 3002, 2707, 630, 324, 3052, 1421, 23041, 267, 14089, 1070, 1216, 3761, 630, 338, 1074, 1070, 543, 6366, 960, 2627, 630, 322, 3300, 9008, 6393, 1262, 3721, 476, 274, 281, 17186, 532, 12397, 22596, 645, 2660, 630, 11742, 281, 5111, 476, 1015, 3764, 21143, 23382, 710, 3819, 5820, 547, 1711, 519, 5748, 540, 938, 17079, 956, 780, 265, 2878, 9288, 20011, 595, 5725, 4995, 13088, 1031, 547, 22945, 12146, 5666, 8308, 563, 453, 266, 4825, 4471, 557, 7893, 11680, 689, 7404, 2721, 619, 610, 19970, 1115, 269, 25800, 3054, 609, 741, 21783, 24795, 630, 11133, 1499, 543, 3515, 1916, 453, 266, 2422, 513, 2973, 7484, 547, 1085, 17274, 856, 4010, 476, 273, 11680, 540, 8970, 22596, 269, 5426, 519, 1283, 676, 23510, 513, 2786, 6316, 630, 3697, 513, 17180, 610, 22883, 3121, 264, 2066, 519, 26079, 563, 453, 266, 32449, 6027, 8970, 22596, 5196, 513, 11280, 11544, 1858, 267, 899, 513, 4831, 9008, 610, 3349, 780, 11754, 6632, 3334, 547, 1106, 513, 4402, 1384, 265, 2878, 12850, 4995, 10281, 7992, 5277, 1898, 585, 1272, 543, 11477, 3157, 563, 453, 266, 12414, 593, 519, 31316, 564, 630, 4248, 7148, 264, 936, 519, 16173, 547, 1569, 4881, 1216, 563, 453, 266, 19130, 513, 5094, 7893, 7484, 609, 10502, 476, 382, 378, 7484, 540, 1216, 269, 7638, 1518, 6111, 1996, 519, 7484, 781, 24795, 563, 453, 266, 26431, 13248, 519, 1216, 883, 519, 8970, 22596, 7848, 1247, 28817, 609 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 654, 312, 476, 1001, 274, 267, 799, 1683, 513, 2039, 540, 933, 1430, 2175, 6093, 585, 713, 3148, 269, 634, 476, 277, 3917, 337, 4248, 1032, 3328, 13247, 568, 476, 30663, 6515, 267, 609, 654, 312, 476, 1001, 272, 1373, 519, 6632, 11687, 1032, 609, 476, 279, 6858, 6515, 543, 654, 312, 1001, 273, 1373, 519, 1743, 5006, 1032, 609, 476, 275, 3393, 6515, 630, 8368, 476, 272, 1040, 19105, 5993, 2011, 2837, 585, 519, 1353, 1858, 568, 476, 278, 269, 271, 9180, 630, 8368, 476, 273, 1040, 634, 17888, 2842, 4287, 1282, 13247, 568, 689, 519, 7178, 630, 28638, 4113, 1040, 634, 12775, 2127, 543, 8323, 585, 519, 2185, 6952, 906, 2039, 689, 476, 736, 547, 476, 3583, 688, 543, 476, 14917, 276, 547, 476, 6245, 279, 544, 267, 6606, 630, 8368, 476, 274, 1040, 6399, 15113, 331, 2100, 27080, 2066, 519, 2185, 6952, 906, 2039, 689, 476, 1240, 260, 547, 476, 2537, 10065, 634, 1353, 1858, 21269, 2789, 8733, 4609, 267, 1142, 609, 27041, 20815, 607, 519, 13856, 21906, 5057, 585, 519, 4704, 2146, 269, 17497, 267, 10664, 538, 1142, 540, 519, 6952, 906, 568, 5097, 15118, 23803, 3256, 3990, 267, 609, 1713, 24588, 19479, 269, 1924, 2812, 616, 9286, 6140, 607, 1134, 1673, 11712, 18574, 569, 3138, 4461, 267, 799, 568, 6462, 676, 7422, 630, 24520, 5425, 267, 476, 1001, 277, 1916, 19177, 6749, 4216, 642, 27677, 577, 649, 15077, 630, 289, 2632, 320, 543, 13100, 3205, 267, 476, 1220, 274, 264, 543, 3670, 4365, 10473, 941, 8704, 693, 519, 3162, 13738, 21885, 595, 2255, 906, 689, 476, 1220, 277, 547, 476, 1220, 279, 609, 519, 3483, 540, 4974, 519, 10357, 5139, 6331, 545, 3210, 540, 15118, 23803, 26730, 3990, 27041, 20815, 2848, 28500, 1949, 547, 15118, 23803, 8851, 269, 3962, 4365, 6728, 5638, 13247, 2527, 267, 2842, 3432, 543, 4287, 267, 2011, 2837, 267, 3448, 11195, 267, 543, 19670, 3859, 5982, 693, 606, 5662, 569, 8884, 269, 16176, 3178, 568, 849, 6592, 1169, 476, 1428, 3764, 693, 1142, 6728, 1210, 24318, 21319, 8596, 269, 15015, 7403, 540, 6777, 1216, 6697, 630, 14684, 292, 264, 941, 1500, 1079, 547, 1614, 2053, 1142, 1032, 693, 6777, 6030, 2282, 519, 3670, 4365, 10473, 269, 769, 1840, 267, 1611, 24186, 689, 2185, 14021, 6777, 12220, 941, 1031, 609, 12747, 6777, 3178, 2418, 547, 3489, 3606, 17335, 292, 2203, 15418, 2418, 563, 288, 700, 573, 541, 10471, 9715, 538, 5437, 476, 1220, 278, 1354, 6777, 6420, 2488, 606, 4977, 476, 272, 544, 273, 25135, 14653, 540, 11953, 3618, 15038, 543, 10664, 2497, 585, 1142, 540, 519, 1353, 6952, 906, 630, 26596, 4486, 1696, 620, 1421, 476, 1001, 274, 1040, 634, 700, 573, 541, 1448, 5860, 13195, 476, 278, 2798, 829, 4009, 31461, 4611, 538, 513, 7299, 6111, 540, 5111, 476, 274, 4699, 269, 2353, 700, 573, 541, 4393, 729, 2944, 1210, 2645, 2919, 676, 519, 4425, 1047, 4741, 17224, 18209, 12524, 630, 6195, 3201, 267, 476, 1001, 277, 1040, 769, 1840, 547, 700, 573, 541, 23402, 10664, 15627, 267, 513, 8261, 10664, 5619, 693, 1614, 14477, 4092, 476, 1789, 6398, 476, 1789, 544, 13602, 538, 1142, 540, 519, 2185, 1353, 6952, 906, 13195, 5342, 538, 4864, 476, 1220, 279, 269, 1261, 2074, 540, 782, 15118, 760, 619, 3436, 272, 544, 1369, 1142, 4729, 26200, 6027, 267, 543, 519, 15627, 540, 782, 19211, 543, 15118, 760, 619, 2999, 272, 544, 941, 6592, 2059, 2947, 17464, 4167, 338, 1369, 519, 13602, 630, 8993, 269, 476, 274, 1916, 18850, 30744, 6777, 17569, 13250, 543, 15835, 616, 24018, 585, 519, 3162, 13738, 21885, 595, 2255, 906, 609, 519, 1459, 561, 919, 15471, 542, 15118, 23803, 2175, 630, 329, 684, 23803, 26730, 3990, 9183, 264, 543, 585, 2175, 609, 993, 6242, 545, 540, 27041, 20815, 10664, 630, 338, 720, 20815, 26730, 3990, 9183, 1040, 4826, 8244, 585, 1142, 1353, 6952, 618, 896, 1312, 2175, 568, 12290, 676, 513, 4999, 540, 942, 3126, 9781, 630, 4248, 6765, 547, 519, 3037, 2627, 264, 543, 519, 8174, 566, 540, 5993, 1216, 23348, 998, 513, 1216, 3666, 1935, 563, 9288, 25979, 630, 1889, 553, 264, 543, 16347, 539, 630, 7116, 264, 1216, 1032, 1216, 13247, 630, 2181, 27457, 264, 543, 1216, 3666, 2474, 630, 338, 852, 4248, 3403, 1496, 14684, 296, 3910, 6908, 6503, 1496, 304, 3910, 19705, 582, 4920, 17508, 1496, 4953, 8079, 585, 519, 3162, 13738, 21885, 595, 2255, 906, 630, 15551, 1040, 634, 7076, 539, 623, 1871, 630, 335, 29705, 264, 689, 335, 8529, 512, 2389, 3949, 568, 3769, 607, 513, 2773, 1889, 5501, 540, 519, 21180, 7116, 9934, 630, 293, 2401, 4221, 518, 1696, 620, 269, 538, 2046, 1070, 10834, 602, 9039, 540, 519, 13502, 26200, 3648, 1114, 689, 1889, 25979, 2418, 693, 519, 14668, 284, 271, 269, 4962, 1377, 269, 2776, 27457, 2787, 568, 849, 3254, 585, 16592, 2701, 788, 15880, 630, 4785, 290, 264, 23658, 2255, 618, 540, 519, 7404, 32083, 15880, 21885, 27347, 1117, 269, 9947, 23803, 26730, 3990, 21180, 568, 7229, 607, 519, 15895, 630, 637, 573, 264, 540, 519, 1216, 3666, 563, 763, 1775, 27409, 2128, 2203, 630, 300, 10225, 1696, 620, 1421, 476, 1960, 280, 320, 14720, 264, 3096, 519, 6952, 618, 27177, 543, 7856, 14368, 1670, 585, 322, 902, 547, 7447, 519, 6777, 13250, 543, 15835, 269, 1775, 27409, 2128, 568, 513, 9308, 1759, 2527, 543, 1648, 2203, 602, 814, 1044, 14916, 4294, 547, 8495, 6777, 6323, 267, 3157, 267, 543, 519, 7856, 332, 3881, 3270, 538, 2147, 2127, 538, 519, 744, 14567, 31649, 15142, 630, 300, 10225, 543, 12736, 560, 1537, 267, 476, 1220, 272, 282, 29485, 1696, 620, 1421, 476, 1220, 272, 267, 476, 1220, 273, 282, 12736, 560, 1537, 543, 29485, 267, 476, 1220, 273, 267, 476, 1001, 275, 282, 1530, 344, 325, 3072, 1696, 620, 1421, 476, 1220, 280, 282, 715, 599, 752, 1696, 620, 1421, 476, 1001, 272, 282, 27958, 1696, 620, 1421, 476, 1001, 274, 282, 1234, 9346, 1696, 620, 1421, 476, 1001, 275, 282, 681, 553, 537, 2993, 1696, 620, 1421, 476, 1001, 276, 264, 543, 4104, 539, 2127, 630, 300, 10225, 1696, 620, 1421, 476, 1960, 279, 282, 13017, 543, 29485, 267, 476, 1960, 280, 282, 717, 13873, 543, 29485, 267, 476, 1220, 276, 1040, 634, 2203, 7472, 9193, 540, 17335, 292, 267, 6777, 15835, 267, 543, 2627, 1216, 3403, 630, 14684, 296, 1070, 6518, 568, 519, 5916, 5277, 4248, 12775, 6028, 519, 5377, 1993, 519, 6777, 3640, 543, 4764, 593, 519, 2666, 2627, 269, 18452, 1239, 2838, 676, 519, 2203, 1331, 13247, 543, 2139, 1648, 269, 634, 946, 540, 513, 1950, 267, 9308, 1759, 6777, 2203, 568, 2556, 547, 581, 2111, 547, 18481, 9936, 1125, 10664, 3604, 1063, 15118, 23803, 663, 27041, 20815, 26730, 3990, 6952, 906, 269, 634, 1648, 3666, 540, 519, 6777, 17569, 693, 1142, 2203, 18920, 568, 6829, 607, 281, 300, 10225, 1696, 620, 1421, 476, 1960, 273, 5148, 543, 18529, 339, 568, 519, 942, 1900, 269, 634, 2203, 3340, 22883, 6053, 7856, 2121, 3859, 267, 19670, 8143, 267, 2011, 2837, 267, 11517, 2604, 267, 2842, 3432, 267, 3037, 2837, 267, 543, 13247, 269, 1775, 27409, 2128, 4564, 519, 6777, 17569, 607, 513, 1079, 2000, 9707, 1062, 267, 609, 513, 6378, 6253, 32169, 2627, 4494, 267, 543, 513, 4756, 11098, 2539, 4494, 8204, 519, 14230, 540, 519, 6777, 3382, 269, 634, 2203, 1939, 525, 856, 4707, 8143, 5982, 547, 1205, 681, 6339, 543, 31758, 585, 519, 1964, 540, 519, 1648, 3666, 269, 1403, 18529, 295, 568, 2942, 267, 519, 6777, 786, 3579, 267, 2810, 922, 4411, 1543, 267, 610, 519, 2179, 540, 1648, 2838, 547, 3142, 519, 6777, 547, 476, 271, 9180, 269, 1403, 18529, 295, 568, 2318, 267, 519, 6777, 786, 3636, 267, 4227, 922, 4411, 1543, 269, 4495, 519, 6777, 568, 693, 476, 271, 9180, 267, 519, 4411, 1543, 568, 4642, 543, 1022, 1840, 540, 1648, 786, 1267, 538, 15835, 269, 1403, 519, 1840, 540, 5277, 1216, 547, 519, 6777, 676, 2901, 15835, 267, 610, 4764, 20489, 476, 272, 260, 630, 291, 32713, 1696, 620, 1421, 476, 2735, 276, 1070, 519, 4430, 568, 5950, 547, 519, 3037, 607, 17335, 296, 269, 1403, 519, 2666, 568, 711, 6777, 4988, 267, 519, 2203, 10596, 13247, 602, 8813, 607, 4764, 547, 519, 3037, 607, 17335, 296, 563, 12850, 1032, 13247, 27954, 539, 2842, 3432, 543, 4287, 543, 1216, 1032, 3328, 2011, 2837, 563, 2171, 4019, 1775, 27409, 2128, 693, 606, 5662, 569, 942, 1900, 593, 513, 476, 1015, 2173, 667, 4932, 2813, 676, 759, 600, 7204, 519, 476, 272, 2173, 700, 573, 541, 23402, 11953, 3618, 15038, 2203, 269, 901, 6571, 5688, 3278, 938, 2702, 547, 7001, 10664, 543, 1283, 4919, 3604, 1247, 4509, 6190, 12985, 4398, 269, 6399, 3232, 17335, 292, 543, 17335, 296, 616, 6508, 689, 9757, 2203, 17016, 585, 519, 2185, 1353, 6952, 906, 543, 16432, 538, 513, 942, 3126, 10471, 269, 634, 2698, 17335, 296, 585, 519, 654, 312, 568, 1031, 538, 14966, 609, 6027, 1239, 547, 1020, 5993, 1216, 3666, 9193, 607, 4330, 538, 519, 1216, 3666, 1016, 7611, 563, 21801, 23803, 2360, 593, 6777, 13250, 543, 15835, 616, 20039, 585, 538, 1775, 27409, 2128, 676, 1362, 4328, 16347, 19641, 607, 1373, 15118, 23803, 26730, 3990, 267, 15118, 760, 619, 515, 2741, 1229, 267, 4104, 6679, 267, 610, 1930, 269, 634, 19984, 541, 23402, 476, 272, 332, 273, 1611, 10664, 4463, 4786, 729, 9286, 607, 15118, 23803, 610, 1100, 15118, 23803, 1210, 513, 476, 272, 269, 276, 2173, 12939, 1759, 593, 519, 8261, 10664, 4463, 12220, 630, 5408, 8431, 269, 476, 274, 264, 630, 26596, 4486, 1696, 620, 1421, 476, 1001, 274, 1040, 901, 12939, 729, 6074, 547, 7413, 519, 8760, 540, 1022, 824, 10664, 607, 15118, 23803, 269, 7844, 19641, 630, 1015, 6398, 476, 1015, 544, 267, 513, 476, 1911, 544, 273, 1858, 264, 941, 9286, 607, 15118, 23803, 13856, 952, 693, 2547, 835, 21017, 630, 3451, 264, 540, 519, 476, 272, 2173, 273, 700, 573, 541, 1591, 1873, 699, 9286, 607, 15118, 760, 619, 269, 901, 15061, 12939, 568, 6074, 593, 519, 4493, 540, 513, 6476, 1063, 2458, 11343, 19364, 7709, 11052, 543, 519, 476, 1015, 2173, 18920, 8760, 269, 14451, 29676, 16934, 1082, 19641, 609, 1804, 15118, 760, 619, 267, 1247, 2539, 29676, 21467, 560, 13846, 519, 15118, 23803, 3795, 540, 519, 16935, 269, 26228, 24588, 4463, 568, 7229, 607, 519, 1611, 540, 519, 476, 272, 2173, 700, 573, 541, 23402, 5021, 10664, 15627, 9286, 607, 15118, 23803, 269, 7844, 19641, 616, 9286, 607, 4104, 23761, 952, 693, 2547, 2947, 540, 519, 5216, 4478, 19641, 616, 9286, 607, 15118, 23803, 26730, 3990, 630, 310, 13318, 1537, 543, 29485, 267, 476, 1220, 273, 1040, 9947, 760, 619, 515, 2741, 1229, 19641, 616, 3989, 585, 1142, 540, 519, 29039, 2842, 8846, 543, 616, 593, 519, 682, 324, 2427, 540, 513, 18920, 9286, 607, 15118, 23803, 13856, 563, 15703, 4632, 1031, 547, 2196, 519, 6777, 2203, 616, 4299, 676, 15118, 760, 619, 267, 1519, 6777, 13250, 267, 2627, 2842, 11250, 267, 2121, 3859, 5982, 267, 543, 19670, 8143, 5982, 269, 1452, 2360, 543, 519, 9936, 1436, 540, 2203, 16519, 1424, 1239, 547, 2272, 585, 873, 616, 4330, 2663, 538, 519, 2404, 1016, 21827, 563, 310, 11596, 1117, 2127, 267, 519, 2600, 540, 519, 19641, 9286, 607, 15118, 23803, 26730, 3990, 267, 15038, 9832, 267, 543, 1611, 19527, 269, 6399, 6952, 618, 6173, 725, 616, 538, 24324, 563, 28733, 6607, 19670, 3859, 5982, 543, 6777, 620, 5523, 334, 616, 7229, 1210, 519, 12005, 14409, 4518, 17754, 577, 630, 7709, 310, 264, 3301, 10189, 10626, 3247, 528, 611, 630, 293, 4319, 267, 476, 1960, 271, 282, 300, 10225, 1696, 620, 1421, 476, 1960, 280, 321, 1040, 17547, 528, 611, 6589, 585, 519, 5872, 540, 1889, 25979, 27177, 267, 7229, 3141, 5086, 267, 543, 10686, 1227, 6508, 6777, 10286, 2450, 1759, 593, 519, 942, 689, 2063, 6777, 6420, 630, 2710, 345, 1512, 267, 476, 2735, 271, 282, 1684, 345, 1512, 543, 674, 4319, 267, 476, 2735, 272, 282, 14878, 599, 1695, 267, 476, 1960, 275, 269, 769, 5765, 3859, 5982, 543, 620, 5523, 334, 616, 8237, 883, 7298, 630, 271, 269, 2764, 1700, 271, 269, 3583, 18725, 332, 264, 543, 2282, 18342, 630, 271, 269, 3583, 1700, 273, 269, 279, 18725, 332, 264, 11445, 767, 9975, 547, 1732, 16347, 519, 2360, 540, 620, 5523, 334, 3604, 538, 1346, 20966, 630, 300, 6702, 718, 543, 25303, 267, 476, 2735, 278, 1040, 5637, 7298, 543, 2282 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 2110, 2165, 7963, 538, 8492, 7616, 269, 7324, 560, 1866, 267, 2362, 16005, 3928, 723, 8329, 3648, 2509, 2333, 538, 7963, 7616, 3790, 585, 8492, 269, 4014, 519, 2671, 540, 9698, 814, 849, 2799, 538, 519, 8492, 685, 7616, 5888, 855, 621, 814, 711, 8329, 1454, 2509, 2242, 538, 8027, 10211, 3928, 267, 2094, 789, 616, 1447, 19408, 269, 19402, 5063, 267, 538, 476, 1001, 272, 267, 519, 3262, 1063, 3044, 8027, 10211, 2557, 543, 6666, 2557, 814, 4389, 676, 827, 476, 1015, 4493, 2798, 1813, 547, 519, 2333, 538, 28774, 6035, 676, 519, 8492, 593, 1007, 6180, 326, 1137, 267, 855, 621, 779, 1152, 513, 1507, 5786, 3379, 547, 519, 2949, 3262, 269, 7305, 540, 12937, 7305, 540, 12937, 476, 274, 654, 573, 2287, 540, 519, 3262, 1063, 519, 2101, 1532, 3471, 3044, 4756, 8027, 10211, 2557, 543, 519, 681, 10621, 779, 6666, 2557, 2094, 476, 1220, 278, 476, 275, 681, 10621, 779, 22418, 15580, 476, 275, 24438, 24184, 10753, 534, 15580, 543, 22418, 15580, 476, 275, 23531, 540, 24434, 685, 8750, 532, 476, 276, 8779, 540, 32124, 543, 24054, 8750, 532, 476, 276, 623, 878, 532, 585, 11485, 543, 24434, 685, 24184, 10753, 534, 26162, 476, 277, 10390, 476, 277, 5903, 540, 28977, 476, 278, 22108, 476, 1015, 31639, 476, 1321, 654, 573, 2287, 540, 519, 3262, 1063, 519, 2101, 1532, 3471, 3044, 4756, 8027, 10211, 2557, 543, 519, 681, 10621, 779, 6666, 2557, 2094, 476, 1220, 278, 681, 10621, 779, 22418, 15580, 634, 1883, 6662, 540, 681, 10621, 779, 13075, 3609, 568, 547, 2539, 519, 10637, 2557, 267, 13389, 1472, 476, 273, 547, 476, 274, 10065, 4033, 6859, 540, 681, 10621, 779, 13075, 3609, 1331, 1970, 13864, 2557, 543, 4509, 513, 7123, 2208, 540, 8241, 4346, 269, 22418, 2557, 568, 519, 3119, 1907, 799, 568, 1031, 676, 681, 10621, 547, 10038, 519, 13075, 3609, 538, 519, 2197, 269, 898, 4679, 3077, 6666, 2557, 950, 519, 10637, 2604, 568, 538, 4430, 540, 519, 681, 10621, 779, 3077, 543, 621, 11081, 519, 3077, 6666, 2557, 950, 519, 4346, 666, 1332, 693, 513, 5488, 2557, 1510, 2870, 1022, 10637, 1966, 630, 20181, 324, 267, 476, 1960, 276, 267, 533, 269, 476, 274, 268, 1428, 1040, 1403, 649, 1413, 693, 519, 1686, 540, 681, 10621, 779, 6666, 2557, 267, 621, 666, 581, 18505, 1042, 602, 972, 814, 1044, 513, 11931, 2333, 538, 6666, 2557, 689, 476, 1220, 278, 11489, 4571, 476, 1220, 279, 267, 799, 729, 519, 4098, 540, 6820, 11038, 19822, 630, 294, 15598, 1040, 3973, 972, 729, 513, 8325, 7771, 538, 6666, 2557, 1282, 519, 1974, 540, 4571, 476, 1220, 279, 11489, 4989, 267, 476, 1220, 280, 269, 634, 6666, 2557, 729, 607, 1970, 607, 476, 274, 260, 543, 4797, 547, 581, 865, 11489, 5181, 267, 476, 1220, 280, 269, 4595, 5239, 267, 476, 1220, 280, 267, 972, 1185, 1044, 513, 11931, 2333, 538, 6666, 2557, 630, 20877, 476, 272, 1040, 19402, 5063, 972, 1185, 1044, 5634, 11912, 538, 6666, 2557, 543, 568, 693, 476, 275, 269, 1839, 9077, 607, 540, 2221, 630, 305, 10621, 267, 562, 6155, 12175, 24438, 24184, 10753, 534, 15580, 543, 22418, 15580, 634, 7678, 540, 3044, 4756, 8027, 10211, 3928, 568, 5156, 547, 1246, 519, 7678, 540, 6666, 2557, 269, 898, 568, 865, 1317, 519, 7622, 1942, 540, 7482, 616, 9141, 676, 519, 6666, 2557, 269, 1403, 649, 5635, 519, 3044, 4756, 8027, 10211, 2557, 609, 6666, 2557, 267, 649, 1265, 606, 2949, 2178, 9756, 1063, 891, 1079, 3928, 936, 519, 1296, 855, 609, 930, 22114, 538, 1063, 630, 20877, 476, 273, 1040, 1403, 649, 4585, 5702, 267, 621, 666, 581, 1336, 602, 972, 814, 1044, 606, 2810, 3262, 1063, 519, 2101, 4871, 779, 3044, 4756, 8027, 10211, 2557, 543, 519, 6666, 2557, 2094, 476, 1220, 278, 269, 901, 2333, 538, 4756, 8027, 10211, 2557, 676, 2101, 8492, 3448, 547, 519, 6666, 2557, 666, 581, 11911, 547, 519, 2333, 538, 4871, 779, 1942, 540, 7963, 7616, 269, 769, 1840, 547, 713, 267, 2362, 9698, 7616, 3790, 543, 2333, 538, 4397, 9271, 723, 849, 11911, 547, 713, 11097, 2287, 540, 3262, 1063, 519, 1079, 3928, 269, 19402, 5063, 267, 538, 476, 1001, 272, 267, 519, 3262, 814, 4389, 676, 827, 476, 1015, 454, 293, 2562, 23814, 15445, 12834, 681, 10621, 3096, 22418, 15580, 607, 513, 1907, 585, 22589, 519, 13075, 3609, 538, 5245, 547, 1852, 10637, 2604, 538, 519, 2197, 269, 15788, 267, 6666, 2557, 2982, 513, 2318, 2810, 7678, 538, 519, 2197, 267, 609, 519, 9868, 1282, 519, 1296, 540, 6820, 11038, 19822, 7498, 1607, 1382, 786, 2253, 609, 519, 7778, 540, 15407, 4444, 719, 269, 1323, 3919, 568, 1419, 3144, 936, 676, 513, 1880, 6109, 3238, 538, 5092, 2238, 269, 1452, 10909, 946, 513, 26483, 6263, 6712, 540, 9698, 543, 513, 26483, 1804, 6712, 540, 3544, 7963, 14104, 269, 901, 1826, 540, 2534, 568, 1634, 607, 15407, 4444, 719, 563, 1607, 729, 519, 2013, 1991, 547, 6820, 11038, 19822, 630, 294, 15598, 1040, 4595, 476, 1220, 278, 267, 972, 814, 1044, 513, 1713, 4473, 538, 519, 3262, 1063, 2101, 8492, 685, 8027, 10211, 3928, 543, 681, 10621, 779, 6666, 2557, 269, 901, 814, 1044, 11911, 547, 519, 4473, 538, 7616, 3790, 585, 8492, 269, 9603, 547, 717, 15598, 267, 782, 2101, 8492, 723, 20916, 2509, 1210, 1279, 2165, 7963, 543, 12074, 607, 741, 1292, 2707, 540, 7616, 1317, 789, 616, 2808, 547, 581, 811, 2922, 543, 7123, 7616, 2707, 585, 8492, 563, 4322, 2242, 4749, 1860, 19736, 796, 3225, 958, 543, 666, 581, 31965, 998, 29159, 610, 15949, 3101, 269, 667, 1392, 2305, 666, 581, 2944, 676, 5887, 1005, 883, 6378, 4747, 19736, 609, 1114, 5712, 1247, 15949, 3101, 568, 2944, 998, 519, 23396, 540, 1719, 2557, 563, 29995, 519, 1870, 1544, 5713, 607, 513, 968, 338, 2297, 892, 3561, 267, 538, 602, 621, 568, 9513, 519, 1870, 547, 513, 17053, 20090, 610, 547, 513, 8804, 8502, 971, 607, 513, 4871, 607, 513, 1434, 5092, 270, 14490, 269, 634, 2596, 4170, 585, 713, 1599, 616, 519, 1482, 267, 4352, 519, 5449, 786, 1445, 593, 513, 2557, 540, 2132, 585, 519, 20090, 267, 1247, 519, 8545, 786, 1445, 593, 519, 26622, 540, 519, 10211, 2838, 563, 280, 17217, 3297, 19805, 20764, 675, 13317, 476, 280, 5900, 847, 4369, 540, 713, 14679, 476, 1015, 22108, 476, 1724, 31639, 476, 1691, 2561, 754, 1182, 476, 1428, 3487, 272, 269, 13517, 827, 519, 6355, 634, 1870, 568, 827, 6679, 513, 8516, 4099, 538, 25480, 269, 634, 8516, 4099, 786, 581, 13883, 693, 519, 5087, 540, 2160, 540, 25480, 563, 7468, 10675, 24054, 8750, 338, 563, 7468, 10675, 24054, 568, 519, 2707, 540, 3854, 602, 568, 6659, 3544, 519, 1857, 9698, 2344, 538, 1931, 547, 1118, 5092, 538, 1022, 10697, 610, 3919, 630, 312, 784, 267, 476, 1001, 273, 1040, 634, 7482, 6659, 689, 519, 4357, 9698, 2344, 616, 3622, 21433, 689, 1346, 9520, 945, 616, 1634, 607, 2048, 15905, 4891, 685, 799, 616, 1287, 8655, 547, 519, 9757, 9541, 609, 519, 948, 540, 519, 2508, 9946, 630, 10193, 1572, 2048, 2102, 1968, 4891, 685, 1916, 2252, 1719, 3928, 616, 5462, 593, 513, 1114, 4493, 585, 7221, 543, 20824, 1287, 513, 6109, 2348, 12029, 543, 22440, 786, 3068, 4493, 1981, 269, 589, 2754, 8188, 4493, 1981, 950, 519, 1719, 3928, 593, 922, 12029, 543, 22440, 616, 5462, 1210, 1114, 4493, 269, 630, 289, 3089, 2917, 267, 476, 1960, 277, 264, 27539, 585, 1383, 602, 9947, 528, 1773, 322, 2152, 513, 6378, 2557, 6125, 547, 2508, 922, 14104, 2115, 543, 693, 519, 1482, 942, 3947, 856, 513, 10211, 547, 1776, 5428, 693, 513, 13735, 1719, 2557, 563, 763, 1034, 1271, 7156, 568, 1018, 1106, 540, 3854, 2497, 1131, 581, 1034, 5363, 538, 21924, 519, 10909, 1871, 269, 901, 1957, 11394, 547, 2232, 519, 3390, 540, 1018, 13054, 606, 6099, 3854, 2497, 267, 543, 1018 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 3037, 267, 519, 804, 830, 2223, 968, 383, 486, 1391, 320, 3288, 3148, 324, 267, 3331, 357, 1391, 334, 24924, 647, 23383, 267, 24924, 6172, 320, 892, 476, 273, 590, 4660, 1287, 519, 4503, 2895, 13370, 267, 968, 10472, 519, 10160, 771, 572, 782, 7702, 561, 685, 6635, 322, 32109, 829, 323, 19513, 267, 1391, 320, 3331, 357, 3288, 6822, 324, 476, 274, 2334, 649, 1590, 1689, 585, 13140, 267, 713, 22378, 333, 995, 1350, 7112, 1750, 524, 328, 547, 17433, 513, 3164, 538, 524, 3711, 1470, 1642, 524, 1408, 334, 267, 1391, 320, 959, 626, 324, 15259, 2017, 527, 14504, 269, 11184, 726, 345, 16253, 2560, 296, 6557, 7996, 16634, 26926, 374, 20804, 267, 590, 13446, 855, 594, 666, 1406, 948, 596, 269, 29859, 779, 22946, 568, 711, 513, 1483, 1747, 256, 901, 729, 2731, 5363, 585, 803, 538, 1250, 2852, 11400, 269, 968, 291, 1054, 2696, 3169, 1554, 2000, 629, 712, 267, 1769, 17792, 9495, 1703, 568, 606, 20451, 998, 30616, 779, 4633, 799, 16111, 6971, 1010, 588, 1155, 1256, 950, 15151, 621, 4667, 547, 581, 2679, 621, 909, 269, 898, 568, 16122, 602, 782, 540, 873, 1058, 27043, 543, 5077, 875, 789, 949, 1934, 12898, 1034, 1055, 754, 741, 10546, 267, 1655, 7816, 741, 1378, 2530, 269, 898, 568, 827, 30616, 779, 18326, 1996, 2696, 269, 2991, 9561, 519, 2112, 30616, 543, 2142, 601, 2763, 321, 889, 941, 9292, 1194, 1524, 689, 13140, 676, 2696, 267, 543, 29802, 538, 22946, 269, 1261, 9299, 2478, 1200, 1862, 476, 272, 3447, 1807, 8382, 269, 14088, 543, 18832, 941, 711, 968, 763, 5345, 559, 5608, 789, 1705, 711, 31111, 1996, 1864, 267, 789, 1152, 27136, 5674, 539, 1864, 543, 741, 10751, 729, 7646, 518, 982, 30616, 779, 835, 269, 4347, 324, 520, 568, 2347, 1152, 950, 519, 6891, 543, 519, 786, 1932, 616, 1016, 24503, 730, 269, 1261, 7512, 543, 1623, 12949, 3278, 609, 1010, 13794, 609, 12050, 1913, 543, 27742, 269, 1772, 3751, 569, 269, 10801, 267, 30616, 5543, 1407, 968, 1729, 13230, 676, 3196, 610, 1368, 850, 18163, 2112, 1848, 13536, 646, 4025, 606, 4244, 1354, 519, 1102, 1716, 531, 14643, 968, 641, 685, 333, 2112, 610, 1071, 3200, 1368, 850, 1848, 1809, 1631, 835, 9060, 602, 519, 8561, 568, 593, 2112, 711, 1368, 850, 269, 13673, 9898, 707, 661, 7246, 6579, 5084, 11403, 8577, 543, 717, 4953, 661, 7246, 6579, 700, 8577, 2177, 306, 256, 2368, 3988, 2015, 30616, 547, 581, 519, 5869, 267, 610, 16502, 267, 540, 519, 1650, 267, 1317, 646, 9620, 547, 7753, 1010, 1378, 22027, 543, 12755, 543, 6104, 8460, 1010, 3804, 540, 18348, 532, 30768, 269, 3371, 693, 2547, 4985, 547, 519, 6648, 267, 543, 1101, 1045, 6327, 1496, 272, 268, 316, 645, 269, 30616, 543, 1010, 9114, 23133, 32570, 538, 519, 10720, 540, 3595, 1496, 2004, 268, 28434, 316, 6271, 26881, 267, 5617, 658, 267, 9969, 4181, 267, 11021, 602, 789, 798, 4986, 269, 1261, 7959, 21616, 1317, 646, 568, 3222, 602, 646, 814, 3893, 13007, 14084, 3330, 1864, 267, 8117, 646, 568, 849, 3222, 602, 646, 666, 1406, 946, 621, 1317, 540, 21901, 968, 821, 13669, 550, 26612, 30616, 3112, 10505, 267, 1317, 646, 814, 1932, 1454, 11348, 269, 8073, 513, 1863, 3896, 610, 5816, 693, 31964, 2593, 269, 901, 2887, 3323, 519, 1480, 5198, 1934, 593, 3618, 269, 3883, 594, 540, 21537, 1047, 23452, 5956, 609, 513, 7139, 4084, 538, 799, 29859, 15824, 519, 2757, 12473, 4305, 540, 1045, 3183, 519, 631, 2224, 543, 17548, 1010, 3483, 269, 630, 8298, 4934, 1315, 1879, 2696, 7333, 8460, 1864, 689, 24656, 267, 646, 7959, 5128, 13676, 543, 6499, 547, 1491, 513, 20947, 1996, 1864, 267, 18348, 532, 3571, 1007, 5137, 281, 812, 269, 898, 568, 968, 321, 21392, 547, 12081, 538, 18774, 982, 4196, 538, 24656, 1848, 269, 21537, 1047, 23452, 568, 513, 6281, 15828, 3438, 776, 12473, 6648, 630, 3119, 12473, 568, 5711, 267, 585, 3236, 29028, 267, 594, 2993, 611, 543, 31660, 1040, 1772, 621, 1175, 602, 2696, 1131, 1711, 30616, 543, 14088, 543, 18832, 6616, 602, 789, 1131, 31111, 1996, 1864, 286, 1261, 568, 519, 6205, 540, 519, 31111, 268, 836, 1564, 538, 24656, 543, 519, 4608, 27547, 16313, 540, 18774, 269, 19534, 281, 3571, 18531, 616, 519, 1883, 547, 1010, 1915, 543, 1010, 1148, 540, 610, 2218, 608, 26118, 519, 1655, 540, 4936, 20116, 269, 1703, 616, 849, 930, 23199, 281, 1769, 799, 6763, 585, 8289, 538, 1899, 476, 272, 267, 13669, 550, 799, 6763, 585, 21184, 538, 1899, 476, 274, 543, 1554, 2000, 629, 712, 799, 6763, 585, 960, 538, 1899, 476, 278, 269, 30616, 2760, 2047, 4408, 1864, 267, 855, 2696, 568, 2141, 538, 1010, 4555, 269, 11374, 3571, 8846, 267, 741, 24983, 3587, 7646, 543, 789, 666, 581, 9859, 538, 519, 1318, 1259, 543, 968, 338, 2925, 13924, 1655, 6100, 1924, 646, 568, 5462, 547, 13230, 18163, 2112, 676, 3196, 610, 1368, 850, 269, 1733, 558, 19711, 8602, 1500, 3152, 286, 7064, 267, 713, 568, 2731, 5363, 585, 10790, 2296, 1053, 907, 256, 968, 293, 691, 4554, 689, 1864, 568, 1655, 892, 568, 513, 3948, 540, 24123, 1219, 4800, 543, 540, 5837, 32238, 269, 1411, 616, 13886, 547, 11240, 725, 827, 3054, 543, 707, 1920, 952, 596, 2461, 22233, 543, 7281, 25442, 569, 585, 519, 5168, 269, 4595, 516, 569, 585, 519, 1219, 839, 540, 1863, 2219, 286, 1946, 568, 711, 741, 1616, 540, 20519, 855, 2696, 568, 1065, 550, 1862, 700, 3151, 519, 2112, 30616, 543, 2142, 601, 2763, 321, 889, 941, 9292, 1194, 1524, 689, 24656, 676, 2696, 2864, 621, 729, 1282, 1974, 269, 774, 773, 1957, 594, 729, 5863, 950, 729, 2542, 555, 625, 324, 4930, 267, 922, 1175, 1659, 338, 25537, 907, 579, 2731, 1705, 513, 2816, 2507, 341, 23357, 845, 894, 2507, 628, 333, 31343, 340, 269, 4256, 1033, 3737, 14326, 2141, 5433, 1119, 7949, 540, 24656, 1010, 18340, 1568, 646, 29846, 3909, 267, 3540, 6469, 269, 15552, 545, 1219, 4800, 543, 540, 5837, 32238, 543, 513, 1390, 2816, 2507, 341, 23357, 845, 894, 2507, 628, 333, 31343, 340, 281, 3738, 689, 513, 5339, 1448, 540, 2070, 267, 9607, 269, 2598, 323, 664, 9232, 543, 968, 2631, 540, 13676, 20519, 538, 873, 799, 17993, 519, 12271, 540, 1010, 942, 2797, 269, 634, 27823, 2875, 610, 4116, 538, 991, 519, 6891, 543, 519, 4608, 27547, 16313, 540, 267, 256, 11408, 538, 1010, 3659, 11313, 521, 3140, 540, 968, 6126, 4610, 1141, 7772, 585, 2479, 17743, 338, 281, 30339, 3520, 5558, 30339, 269, 3115, 25209, 1864, 12354, 1511, 543, 519, 4608, 27547, 16313, 540, 22946, 538, 555, 773, 1957, 646, 256, 10558, 513, 3020, 2272, 540, 8885, 9232, 585, 4250, 602, 2696, 1131, 1711, 543, 256, 1488, 6135, 539, 543, 1287, 5950, 6965, 729, 6766, 676, 519, 3140, 2621, 540, 1010, 13794, 616, 4934, 269, 5668, 1263, 539, 2696, 543, 941, 17204, 7868, 2898, 2495, 540, 519, 2046, 267, 12057, 543, 16028, 729, 585, 256, 2986, 721, 3883, 26577, 540, 21537, 1047, 23452, 9232, 910, 476, 14917, 278, 910, 30616, 543, 1010, 10100, 568, 7000, 2760, 256, 9093, 269, 6616, 9232, 519, 1034, 11347, 540, 519, 2046, 1247, 519, 1317, 269, 2107, 4945, 606, 12835, 547, 8298, 538, 281, 1411, 616, 6085, 532, 1210, 31964, 2593, 269, 6399, 789, 723, 23452, 519, 2361, 267, 855, 1010, 11348, 568, 1869, 1932, 1390, 547, 2307, 2696, 1065, 550, 766, 256, 4256, 9997, 10546, 543, 1010, 10100, 568, 7000, 547, 2760, 10505, 610, 21704, 4843, 607, 513, 2168, 2669, 2705, 568, 256, 1879, 835, 30650, 519, 2262, 30616, 267, 1065, 550, 766, 7959, 899, 1932, 1164, 3902, 269, 31326, 269, 4467, 25439, 281, 476, 31648, 26482, 271, 4510, 2420, 1421, 568, 835, 540, 519, 6648, 568, 540, 1576, 568, 1862, 5274, 5198, 1934, 593, 3618, 17192, 18976, 543, 798, 1390, 5491, 547, 29859, 11313, 521, 22946, 711, 1862, 1635, 2696, 267, 543, 13414, 782, 22027, 689, 1010, 3659, 568, 7543, 602, 5318, 256, 1656, 16028, 1576, 21901, 814, 4986, 855, 733, 3319, 585, 2696, 945, 29405, 539, 26350, 269, 808, 269, 29859, 630, 476, 8182, 279, 1107, 476, 15757, 275, 3738, 910, 968, 21537, 1047, 23452, 538, 8144, 547, 7521, 519, 1847, 1862, 1677, 2628, 519, 6560, 267, 11021, 602, 789, 723, 1831, 1285, 15735, 14763, 540, 2696, 519, 256, 1280, 873, 543, 782, 540, 721, 1010, 20158, 7980, 1310, 513, 14710, 998, 519, 1930, 4655, 540, 907, 31621, 547, 20834, 1125, 1010, 4229, 2899, 1586, 267, 6857, 540, 519, 2046, 1247, 519, 8830, 30808, 17246, 1228, 1863, 4901, 707, 2272, 1862, 853, 1155, 1256, 950, 15151, 621, 4667, 547, 581, 17204, 543, 27052, 2560, 907, 25778, 3022, 609, 803, 24631, 9232, 30616, 602, 256, 1323, 14969, 17599, 267, 519, 12312, 267, 782, 941, 1287, 547, 1995, 513, 2168, 855, 1862, 1306, 29965, 1767, 267, 968, 29859, 568, 593, 519, 2552, 5799, 21409, 1657, 538, 1862, 24656, 540, 22946, 1411, 27032, 4503, 1433, 476, 272, 2893, 534, 781, 4633, 5758, 2731, 5363, 585, 803, 1317, 594, 1589, 602, 1169, 851, 540, 2046, 256, 1403, 602, 1747, 568, 1350, 334, 3912, 543, 29695, 3592, 607, 646, 1185, 1360, 2370, 540, 7453, 269, 15020, 4502, 2542, 543, 5280, 803, 607, 513, 2168, 2669, 1411, 256, 2731, 5363, 585, 538, 269, 1677, 2847, 633, 741, 1033, 3737, 14326, 543, 17229, 267, 5956, 1010, 4633, 568, 865, 4971, 532, 543, 535, 30711, 602, 1010, 13794, 1655, 269, 634, 12354, 1511, 543, 519, 1034, 4583, 18531, 676, 30616, 5128, 4367, 281, 3040, 30616, 540, 3883, 16927, 23452, 24222, 1463, 543, 3196, 995, 267, 814, 519, 4162, 540, 519, 31111, 268, 836, 1564, 538, 24656, 707, 2272, 269, 1656, 27032, 4503, 1433, 476, 272, 2893, 534, 781, 4633, 5758, 2813, 30616, 1915, 543, 1010, 1148, 540, 610, 2218, 608, 26118, 519, 1655, 1259, 547, 4196, 972, 5976, 1250, 9232, 269, 7313, 655, 281, 1548, 1498, 519, 2361, 267, 855, 971, 1967, 568, 1152, 513, 9864, 1967, 2040, 3000, 539, 256, 901, 9327, 11313, 512, 1256, 917, 789, 941, 21736, 4309, 513, 1560, 267, 1775, 4318, 606, 14969, 267, 29755, 1745, 1863, 547, 3346, 803, 269, 8025, 3198, 16775, 602, 1631, 646, 568, 4904, 609, 11348, 547, 723, 12081, 269, 7971, 6509, 646, 18656, 2471, 538, 20116, 607, 519, 1583, 25871, 12008, 835, 30650, 519, 2262, 30616, 267, 543, 538, 741, 1459, 23511, 1684, 1682, 1485, 949, 1065, 25209, 1864, 10100, 547, 1010, 1915, 543, 1010, 1148, 540, 610, 2218, 608, 26118, 519, 610, 2218, 256, 16440, 1010, 1378, 11348, 1459, 513, 3020, 2272, 540, 8885, 9232, 585, 4250, 2696, 1862, 1656, 31660, 3738, 11313, 9843, 733, 3319, 585, 2696, 945, 29405, 539, 1010, 26350, 540, 30616, 726, 338, 948, 256, 741, 269, 8307, 998, 519, 1930, 4655, 540, 2093, 5191, 540, 519, 31111, 268, 836, 1564, 538, 24656, 538, 269, 2037, 768, 748, 10952, 5763, 646, 791, 14975, 538, 1010, 3515, 1148, 540, 610, 2218, 608, 26118, 519, 1655, 540, 4936, 2807, 5221, 1010, 968, 9997, 568, 811, 18761, 547, 4196, 972, 5976, 1250, 631, 6033, 9232, 521, 11802, 2112, 1996, 519, 540, 269, 15020, 4463, 540, 19621, 1016, 3916, 640, 1034, 11347, 540, 519, 2376, 568, 1271, 519, 1732, 711, 267, 256, 6034, 543, 3196, 995, 267, 27032, 4503, 1433, 476, 272, 2893, 534, 781, 4633, 5758, 519, 4162, 540, 519, 12473, 20100, 538, 10750, 2296, 519, 269, 2353, 7264, 540, 713, 1382, 568, 547, 1065, 550, 543, 646, 15189, 1586, 543, 1169, 344, 344, 344, 344, 5503, 950, 29859, 1185, 27032, 4503, 1433, 476, 272, 2893, 534, 781, 4633, 5758, 2807, 634, 1459, 267, 789, 949, 723, 23452, 3388, 6170, 1010, 942, 1603, 30732, 7410, 269, 1280, 803, 1317, 594, 1589, 602, 1169, 851, 540, 519, 8574, 267, 519, 20991, 789, 616, 782, 3532, 543, 972, 256, 1772, 606, 20451, 998, 30616, 11313, 521, 18326, 1996, 2696, 1806, 540, 5718, 256, 5455, 538, 519, 1318, 1259, 543, 968, 2631, 540, 13676, 20519, 9232, 723, 936, 2023, 525, 519, 256, 634, 2956, 540, 4984, 538, 519, 2797, 2238, 616, 1134, 4547, 4934, 538, 891, 27032, 4503, 1433, 476, 272, 2893, 534, 781, 4633, 5758, 1256, 540, 1346, 945, 9420, 1862, 2986, 20519, 855, 2696, 11313, 521, 30616, 23836, 1373, 13957, 883, 21537, 1047, 13788, 256, 2060, 513, 1895, 1010, 1582, 21873, 27032, 4503, 1433, 476, 272, 2893, 534, 781, 4633, 5758, 8990, 540, 519, 13818, 13055, 538, 24656, 543, 538, 3294, 1118, 1862, 1763, 6342, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 10381, 543, 890, 778, 25865, 321, 2401, 267, 972, 781, 1945, 585, 3025, 547, 2972, 780, 4131, 781, 1376, 609, 835, 540, 519, 1034, 11599, 9997, 1426, 8286, 281, 22304, 9269, 269, 17054, 9269, 814, 1044, 1472, 2094, 7810, 2053, 267, 950, 13677, 11082, 4547, 936, 741, 11600, 585, 2620, 1922, 11538, 9269, 538, 3170, 269, 1717, 267, 621, 7012, 1405, 2394, 1310, 519, 6406, 2782, 602, 22304, 9269, 2968, 2404, 609, 3979, 1977, 2528, 269, 3416, 331, 8491, 20338, 1185, 1044, 8600, 543, 4189, 22304, 9269, 1279, 1354, 1287, 267, 855, 621, 729, 1152, 1310, 31414, 602, 789, 1223, 6488, 547, 4444, 17944, 543, 3434, 873, 585, 2933, 269, 4653, 267, 5743, 6853, 22304, 9269, 3788, 513, 20013, 540, 9997, 1426, 27487, 10876, 780, 5194, 2442, 9997, 1426, 8670, 568, 2458, 731, 16719, 269, 7502, 1841, 616, 513, 1826, 540, 21364, 3039, 10448, 602, 723, 1044, 16916, 538, 4000, 585, 5215, 540, 1296, 269, 1358, 941, 4547, 936, 547, 3013, 1282, 519, 10553, 4123, 543, 3533, 2968, 513, 1455, 12146, 538, 7013, 5986, 269, 1677, 5965, 2458, 731, 16719, 267, 789, 616, 2356, 1138, 332, 1229, 7444, 609, 8423, 554, 4169, 610, 28019, 585, 1896, 3108, 2394, 13035, 269, 634, 1267, 568, 513, 29316, 2427, 8670, 602, 8424, 9985, 609, 22304, 9269, 780, 8170, 1576, 267, 1100, 7594, 1131, 581, 2347, 1510, 18397, 269, 2290, 540, 1250, 2123, 29202, 568, 890, 778, 25865, 321, 2401, 269, 3212, 2851, 616, 1776, 4829, 602, 941, 4547, 936, 689, 4000, 543, 2968, 513, 2442, 12146, 538, 7013, 5986, 269, 1280, 713, 11600, 267, 4195, 890, 2851, 616, 6404, 609, 4006, 267, 24036, 267, 543, 2428, 332, 1122, 267, 1287, 4988, 609, 513, 1166, 21294, 536, 4593, 3726, 14859, 269, 4495, 19323, 267, 519, 30861, 11423, 18616, 909, 998, 519, 12933, 2870, 513, 6653, 543, 17598, 1521, 780, 3719, 2614, 827, 803, 1107, 1577, 781, 2911, 827, 875, 9358, 666, 1205, 3238, 256, 1403, 596, 2661, 538, 606, 4683, 4099, 267, 8458, 616, 972, 616, 7899, 540, 9997, 1426, 14060, 2282, 596, 269, 4208, 711, 2119, 9683, 835, 543, 19280, 513, 1906, 8286, 547, 2671, 609, 707, 1920, 286, 2107, 1732, 2943, 267, 1946, 711, 2119, 1818, 930, 9997, 1426, 693, 1753, 286, 1703, 616, 9748, 540, 10346, 2228, 602, 8597, 547, 1169, 5578, 1377, 269, 3502, 1152, 786, 596, 1451, 811, 827, 713, 4241, 11951, 267, 855, 596, 3513, 849, 581, 5885, 2199, 4213, 543, 8497, 606, 1271, 4062, 540, 3979, 1977, 6561, 780, 1103, 3932, 267, 9997, 1426, 568, 811, 982, 1175, 4313, 1426, 282, 621, 781, 513, 15266, 547, 519, 6043, 543, 5876, 540, 3979, 4892, 2429, 1686, 269, 1635, 3695, 1114, 3344, 540, 9997, 1426, 2528, 267, 649, 666, 2744, 513, 4514, 7071, 585, 519, 3309, 2950, 602, 1118, 909, 938, 4872, 269, 1924, 979, 6619, 267, 2285, 9997, 1426, 513, 2119, 1107, 707, 6492, 19512, 630, 663, 707, 2146, 264, 786, 9684, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1432, 781, 2659, 7726, 888, 1015, 4279, 23089, 547, 28820, 566, 538, 5412, 454, 20103, 1920, 7477, 725, 666, 581, 14949, 982, 7477, 725, 693, 1022, 824, 942, 540, 519, 1032, 269, 1809, 972, 779, 513, 2601, 585, 602, 281, 13518, 540, 519, 8832, 25955, 4991, 7168, 4411, 538, 519, 5162, 3275, 269, 12846, 267, 972, 616, 930, 1390, 7477, 725, 547, 581, 1336, 2443, 1519, 930, 538, 4025, 596, 1522, 711, 3921, 27274, 1589, 540, 563, 6124, 3840, 4975, 454, 2467, 779, 4986, 899, 8285, 538, 1715, 3840, 269, 1411, 4076, 2938, 621, 538, 3875, 9413, 269, 10979, 1236, 908, 676, 519, 18842, 651, 325, 11839, 4741, 267, 3063, 341, 698, 656, 25004, 22971, 10918, 267, 8337, 15483, 339, 5661, 543, 1158, 11665, 14060, 782, 24098, 519, 5162, 8262, 11197, 24413, 563, 5719, 987, 9503, 949, 581, 835, 540, 519, 29224, 4025, 593, 3047, 585, 1454, 540, 519, 1032, 267, 855, 538, 5412, 5210, 6749, 547, 513, 6899, 476, 4792, 5232, 18278, 1282, 519, 1554, 269, 2334, 2306, 713, 6382, 10238, 1438, 10278, 4998, 585, 1390, 19482, 7477, 725, 538, 519, 5162, 563, 2252, 596, 1175, 1616, 547, 10726, 519, 5162, 21462, 267, 1946, 711, 1491, 519, 1920, 547, 24543, 286, 1411, 666, 8661, 8285, 693, 519, 11824, 269, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 13636, 1299, 8836, 1315, 31522, 5253, 1315, 31522, 5253, 538, 12124, 15544, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 634, 4425, 558, 19087, 538, 18207, 1014, 9085, 692, 7072, 1384, 1103, 519, 4571, 2389, 342, 12351, 2540, 267, 5824, 3013, 4810, 513, 5339, 22820, 602, 7604, 1078, 930, 540, 922, 1034, 16805, 5830, 269, 901, 1974, 729, 6825, 676, 2797, 30331, 10052, 267, 1514, 1689, 267, 543, 2804, 10462, 910, 2188, 602, 7494, 6766, 519, 4798, 8268, 538, 3332, 1282, 713, 942, 269, 7324, 891, 2477, 267, 21896, 1185, 922, 4023, 2671, 540, 7418, 547, 519, 3350, 267, 3366, 676, 4589, 971, 607, 28792, 25661, 807, 3057, 4302, 345, 267, 631, 9222, 966, 1173, 553, 24510, 6242, 267, 543, 808, 5282, 30511, 16907, 2471, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 4514, 883, 519, 1568, 3812, 676, 18207, 1014, 4589, 1282, 713, 1974, 543, 5659, 741, 10083, 538, 4207, 2486, 780, 296, 269, 8466, 12745, 281, 4197, 519, 4425, 558, 19087, 692, 2414, 1174, 519, 4644, 540, 519, 4425, 558, 5108, 538, 18207, 1014, 3332, 267, 621, 781, 1898, 1101, 547, 2263, 519, 3140, 2796, 538, 799, 891, 1568, 941, 2813, 269, 4438, 713, 1974, 267, 1082, 5824, 1977, 6082, 5185, 1713, 2591, 267, 1519, 6710, 267, 8635, 267, 13313, 267, 543, 5208, 269, 1452, 2152, 1419, 6039, 607, 6667, 585, 519, 4589, 267, 4611, 538, 3532, 6386, 602, 12006, 519, 9620, 540, 8723, 4961, 269, 5047, 267, 519, 4473, 540, 1007, 4066, 543, 2923, 5867, 4847, 891, 2984, 547, 3914, 6626, 9458, 982, 2479, 1354, 780, 2862, 269, 11683, 21771, 4112, 1819, 676, 18207, 1014, 22439, 692, 8624, 4861, 1014, 4589, 1282, 519, 4425, 558, 5736, 5059, 593, 1896, 2101, 4798, 602, 6949, 730, 609, 3988, 1312, 12725, 543, 11451, 269, 2368, 540, 891, 4798, 3769, 1384, 265, 20222, 543, 18366, 281, 3509, 1568, 3812, 1282, 713, 1974, 10704, 1472, 519, 2197, 781, 5571, 3540, 2112, 1063, 2229, 4229, 543, 1368, 20482, 8759, 2516, 269, 1452, 2984, 8774, 1769, 593, 519, 14042, 4539, 540, 4655, 543, 3177, 5813, 883, 519, 2729, 540, 1346, 4299, 563, 265, 4317, 32389, 281, 6736, 1373, 3638, 538, 2067, 2200, 267, 21896, 7283, 835, 540, 519, 1034, 21376, 7239, 538, 5824, 3013, 269, 3718, 3812, 1282, 713, 942, 4749, 9619, 519, 3390, 540, 14227, 13103, 543, 741, 1764, 593, 2043, 543, 2950, 563, 265, 18903, 30527, 281, 589, 15040, 8984, 540, 1454, 540, 519, 4425, 558, 3332, 729, 519, 25465, 540, 9589, 2609, 883, 6382, 10853, 5468, 269, 901, 4480, 5280, 1711, 2502, 6386, 1247, 10223, 519, 1950, 2470, 540, 1480, 2833, 780, 7656, 269, 6206, 22955, 538, 18207, 1014, 9085, 692, 15703, 7986, 5515, 7153, 689, 519, 18207, 1014, 5339, 6429, 1282, 519, 4425, 558, 5736, 269, 3371, 267, 649, 786, 1445, 593, 1614, 8037, 4589, 4171, 1568, 3136, 547, 3337, 4207, 11407, 1384, 265, 28792, 25661, 807, 3057, 4302, 345, 281, 22453, 569, 9833, 607, 835, 540, 519, 6574, 5053, 25082, 4589, 540, 782, 942, 267, 3057, 4302, 345, 6591, 3486, 21239, 998, 1010, 3209, 2290, 25569, 13012, 540, 3752, 3363, 269, 5590, 538, 519, 14070, 4884, 540, 5839, 32121, 267, 519, 1433, 7710, 4798, 540, 10072, 267, 3965, 267, 543, 9059, 17779, 269, 3414, 1010, 960, 267, 3057, 4302, 345, 3964, 5128, 607, 513, 3056, 5639, 538, 5824, 1977, 3332, 563, 265, 631, 9222, 966, 1173, 553, 24510, 6242, 281, 4014, 3131, 12320, 1014, 676, 4332, 267, 966, 1173, 553, 24510, 6242, 6170, 1454, 540, 1010, 4876, 538, 21896, 543, 2968, 7184, 4448, 547, 519, 2197, 781, 2686, 3961, 269, 3571, 9089, 267, 971, 607, 22062, 566, 538, 519, 24130, 543, 589, 2863, 27813, 543, 519, 14644, 23116, 267, 4983, 6214, 267, 4984, 267, 543, 1920, 6384, 1369, 513, 6385, 4657, 1158, 563, 265, 22513, 18372, 966, 4150, 14765, 281, 19612, 585, 1010, 1008, 25607, 2511, 543, 796, 777, 860, 2045, 31886, 540, 6848, 8155, 267, 966, 4150, 14765, 3091, 513, 2189, 5133, 593, 18207, 1014, 2528, 269, 26358, 899, 3776, 15248, 540, 519, 2667, 817, 1231, 10994, 3584, 971, 607, 4630, 22785, 267, 3075, 19338, 267, 543, 4683, 9178, 267, 3246, 513, 6151, 543, 9237, 24575, 540, 2413, 21896, 780, 4353, 269, 12634, 25684, 692, 8601, 519, 8574, 540, 5756, 2094, 519, 4463, 540, 519, 4425, 558, 5108, 267, 519, 1568, 3812, 1282, 713, 1974, 2611, 4143, 2221, 269, 2060, 17105, 1719, 538, 1514, 5126, 5322, 543, 7125, 585, 3152, 6041, 538, 3332, 267, 891, 5931, 4196, 607, 3407, 2959, 540, 5813, 543, 8086, 269, 5015, 267, 789, 1683, 3255, 585, 3444, 14426, 5188, 543, 5385, 267, 4543, 8115, 10616, 1063, 1114, 4525, 543, 2950, 780, 6962, 1384, 7437, 3695, 519, 4425, 558, 5108, 538, 18207, 1014, 3332, 267, 649, 2744, 513, 4514, 7071, 585, 519, 2197, 781, 3638, 2686, 6561, 543, 519, 6043, 540, 922, 1004, 269, 1635, 6313, 1883, 4798, 543, 5515, 689, 713, 1974, 267, 649, 1732, 1174, 519, 11972, 9371, 540, 891, 1568, 543, 741, 4797, 3310, 593, 4207, 3332, 543, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 19285, 961, 1118, 596, 606, 2709, 596, 18085, 20549, 19776, 1272, 538, 519, 4254, 547, 2324, 538, 513, 16048, 1870, 269, 30686, 3150, 1281, 660, 1205, 883, 519, 4128, 646, 4956, 547, 4734, 519, 4254, 267, 855, 646, 1705, 543, 1631, 2306, 513, 2713, 1603, 2835, 543, 607, 513, 30973, 10584, 269, 3973, 596, 666, 1376, 2542, 2186, 548, 2835, 593, 707, 16335, 267, 16979, 267, 610, 269, 1306, 835, 540, 519, 4686, 1004, 945, 16718, 519, 4254, 543, 5030, 547, 2995, 827, 621, 267, 21473, 345, 3150, 814, 513, 2189, 5133, 593, 875, 1870, 568, 2944, 269, 6611, 3786, 568, 16818, 476, 7818, 16960, 280, 1015, 6434, 278, 272, 7824, 3134, 889, 22788, 7895, 619, 523, 269, 7629, 1118, 596, 606, 2709, 596, 18085, 20549, 543, 936, 835, 2929, 824, 2835, 616, 2139, 585, 32312, 2186, 548, 269, 1261, 1522, 557, 8959, 538, 530, 5622, 532, 1200, 607, 513, 2909, 1233, 344, 18295, 7911, 267, 855, 713, 942, 267, 1352, 814, 513, 2699, 1973, 539, 812, 609, 1379, 543, 31449, 547, 4308, 609, 269, 1411, 666, 849, 1224, 519, 2407, 1257, 2228, 1210, 938, 552, 1348, 518, 269, 1284, 782, 1279, 585, 5898, 267, 30493, 267, 22906, 267, 543, 25055, 933, 782, 1279, 547, 581, 10150, 267, 547, 581, 2898, 27329, 267, 547, 1118, 513, 9434, 1764, 563, 303, 3233, 15854, 1408, 568, 1500, 606, 2709, 646, 18085, 20549, 267, 855, 16561, 621, 4667, 512, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 4425, 558, 19087, 538, 18207, 1014, 9085, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 21896, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 883, 519, 1158, 540, 5665, 1949, 256, 4653, 649, 2811, 2469, 547, 2263, 1945, 1572, 1990, 270, 5308, 3590, 5004, 267, 4481, 3168, 693, 875 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1126, 779, 2702, 547, 1174, 519, 2495, 540, 891, 27766, 269, 5681, 4210, 2086, 4569, 8274, 10794, 568, 3812, 676, 4804, 8249, 543, 568, 1655, 5129, 676, 1453, 6502, 476, 276, 547, 476, 278, 269, 24812, 3460, 998, 519, 32761, 676, 4946, 543, 18946, 519, 2338, 18202, 593, 519, 18062, 269, 634, 595, 10635, 617, 850, 10374, 12338, 543, 519, 7736, 1652, 31230, 1039, 513, 1377, 540, 8594, 543, 10761, 543, 1832, 519, 5716, 685, 1719, 563, 12179, 1543, 267, 22028, 4882, 267, 610, 824, 1570, 602, 1522, 581, 1336, 593, 713, 3135, 602, 568, 711, 713, 3135, 3959, 3788, 519, 10677, 540, 922, 9757, 8227, 4882, 269, 769, 1100, 1259, 1281, 10871, 295, 739, 3409, 9562, 610, 5539, 585, 971, 3688, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 269, 0, 312, 1077, 328, 631, 2224, 1597, 328, 538, 1010, 1433, 968, 1432, 568, 4000, 779, 1966, 9495, 32625, 602, 519, 3476, 27504, 3251, 538, 1379, 267, 519, 811, 2352, 621, 4991, 547, 4894, 873, 24339, 5597, 269, 1703, 568, 1100, 1732, 1383, 585, 519, 14496, 540, 1010, 8343, 982, 5128, 269, 1261, 814, 1500, 621, 2352, 547, 4894, 1864, 24339, 5597, 585, 811, 982, 1614, 5756, 563, 1432, 2306, 519, 6560, 585, 9111, 2352, 538, 4000, 568, 5631, 519, 9000, 540, 513, 9758, 7029, 585, 621, 689, 519, 2797, 16918, 269, 22640, 814, 1831, 513, 24134, 585, 1651, 3518, 757, 547, 2611, 538, 5604, 998, 741, 30096, 12836, 543, 606, 12180, 6240, 585, 1533, 7001, 676, 741, 17837, 269, 1656, 519, 12402, 543, 4412, 3748, 4724, 13313, 1851, 1346, 538, 2229, 543, 741, 28930, 919, 538, 1870, 543, 519, 2147, 5397, 547, 14827, 1851, 1346, 8589, 547, 891, 1949, 723, 18604, 519, 26117, 540, 1082, 540, 519, 2829, 543, 6608, 538, 4000, 563, 20685, 11340, 807, 568, 711, 606, 9868, 547, 713, 3979, 1650, 269, 3767, 267, 621, 568, 3592, 3368, 513, 2540, 2094, 519, 13675, 540, 519, 2165, 9111, 883, 519, 562, 32393, 1155, 540, 519, 15337, 1014, 1533, 269, 3509, 1131, 3858, 609, 803, 602, 519, 15337, 1014, 1533, 568, 4376, 855, 11180, 563, 17359, 2376, 1934 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 29640, 11571, 454, 268, 27946, 11571, 454, 309, 2678, 753, 1058, 581, 13047, 827, 741, 4108, 3028, 547, 2057, 3765, 10972, 1725, 2670, 543, 547, 3432, 909, 519, 6268, 1184, 676, 32560, 1524, 519, 2009, 4093, 269, 9861, 7157, 11117, 16881, 17034, 519, 1655, 2126, 538, 942, 543, 6971, 519, 2621, 540, 519, 3262, 540, 2860, 543, 922, 556, 15041, 1120, 775, 563, 291, 1047, 1162, 6970, 4310, 676, 1306, 17937, 22452, 2904, 6733, 513, 20769, 6145, 5871, 29520, 525, 454, 763, 6211, 6127, 540, 20702, 5829, 3676, 616, 1950, 1317, 789, 4125, 513, 1617, 626, 788, 1184, 540, 4205, 1063, 11976, 267, 4761, 3210, 267, 543, 32739, 547, 5312, 6547, 547, 6757, 2609, 269, 2334, 568, 1946, 1034, 7189, 1419, 3765, 1348, 519, 2589, 543, 3765, 10972, 1725, 846, 891, 10108, 563, 2005, 3085, 1405, 948, 602, 519, 31067, 20702, 11103, 2800, 519, 8219, 1152, 538, 519, 1279, 2196, 267, 543, 676, 519, 942, 2589, 2408, 267, 519, 2068, 2356, 10301, 4359, 5933, 269, 769, 1840, 267, 4191, 540, 20702, 5829, 3676, 666, 18613, 1346, 540, 824, 1447, 5906, 7929, 2175, 267, 1818, 741, 2953, 4879, 1256, 811, 13542, 727, 269, 898, 568, 1946, 5449, 13108, 10986, 1058, 2628, 2673, 3007, 547, 1022, 2242, 538, 741, 1072, 543, 1118, 606, 13393, 609, 741, 4387, 950, 7680, 912, 268, 26032, 540, 7362, 454, 268, 765, 22689, 610, 11876, 1513, 8864, 454, 268, 10770, 11522, 454, 268, 1973, 538, 519, 838, 583, 636, 454, 268, 1928, 610, 9395, 2287, 538, 519, 9221, 454, 268, 7411, 24948, 454, 268, 11926, 540, 519, 8405, 610, 3068, 454, 268, 2530, 540, 14031, 454, 268, 32584, 2597, 2530, 454, 268, 9854, 610, 17350, 454, 268, 8630, 5523, 11263, 610, 19462, 454, 268, 14159, 1928, 543, 11926, 454, 2414, 4309, 606, 3169, 5868, 543, 7850, 2126, 267, 18884, 1058, 2307, 585, 513, 2034, 610, 3791, 4387, 781, 6644, 3544, 519, 22622, 269, 9861, 12001, 827, 519, 4108, 3028, 849, 2337, 513, 2953, 6268, 269, 631, 1549, 532, 519, 8458, 540, 20702, 4598, 1282, 3028, 1223, 1291, 547, 12423, 22480, 20702, 3676, 899, 912, 268, 5418, 1116, 5394, 2287, 454, 268, 17422, 27470, 454, 268, 5761, 12162, 2737, 543, 9634, 454, 268, 5312, 32583, 454, 268, 17031, 17696, 937, 12118, 454, 268, 5418, 1116, 29693, 13196, 454, 268, 5418, 1116, 2498, 4288, 454, 10214, 1498, 1875, 2275, 22083, 748, 3676, 4465, 1405, 20618, 513, 25982, 585, 13180, 267, 789, 1058, 581, 5781, 4767, 267, 607, 789, 4043, 547, 1020, 883, 2860, 269, 30446, 2473, 17530, 543, 17422, 1599, 4255, 949, 3713, 873, 4742, 23872, 2038, 593, 267, 543, 513, 2860, 5868, 786, 1118, 18884, 14718, 547, 3758, 6811, 563, 301, 8283, 27851, 13958, 2216, 2060, 1306, 17937, 7304, 601, 730, 9435, 2904, 25547, 633, 3281, 18730, 16270, 674, 4979, 513, 26225, 28787, 454, 6624, 18884, 540, 519, 772, 2529, 269, 13108, 945, 24009, 10279, 1063, 476, 3707, 271, 543, 476, 2735, 271, 941, 6534, 547, 20702, 1282, 3028, 7064, 547, 519, 7777, 781, 3573, 946, 538, 4108, 6928, 4070, 693, 602, 942, 269, 8409, 8995, 609, 2860, 689, 20702, 4598, 1282, 10279, 616, 13886, 547, 13075, 13180, 543, 949, 3758, 6811, 547, 4309, 2640, 689, 519, 20702, 3972, 7482, 543, 519, 22622, 563, 19675, 596, 6430, 547, 1491, 519, 2556, 3656, 3268, 543, 2253, 519, 1184, 585, 519, 964, 5703, 967, 655, 333, 2305, 267, 649, 666, 4217, 596, 538, 32296, 3656, 4966, 21751, 538, 25937, 20702, 6811, 269, 0, 272, 269, 14970, 14675, 23910, 454, 299, 633, 14675, 23910, 454, 288, 2661, 3280, 11653, 568, 3743, 585, 519, 2930, 3344, 540, 3280, 1282, 2661, 12644, 267, 971, 607, 30145, 267, 14364, 24299, 267, 610, 9746, 2621, 563, 288, 561, 3578, 1512, 24870, 538, 2679, 267, 28472, 267, 543, 19620, 5569, 539, 7574, 7405, 267, 3226, 1368, 527, 1513, 267, 3423, 1231, 267, 3423, 553, 267, 1591, 657, 267, 543, 536, 13293, 563, 2304, 608, 32558, 1807, 267, 849, 1634, 607, 513, 11641, 1852, 27637, 267, 568, 513, 3318, 945, 568, 8036, 547, 2697, 267, 2061, 267, 543, 1852, 10860, 538, 5321, 267, 4213, 267, 543, 824, 5054, 563, 275, 269, 3220, 650, 4964, 7358, 1807, 454, 7804, 650, 4964, 7358, 1807, 454, 288, 16590, 2046, 11346, 5036, 909, 543, 13333, 17656, 6191, 547, 16590, 267, 16004, 267, 556, 600, 267, 1984, 267, 610, 27669, 1074, 4496, 610, 5068, 960, 4773, 563, 276, 269, 623, 10730, 20658, 518, 454, 288, 14440, 7113, 518, 568, 513, 9952, 27637, 945, 568, 3743, 585, 14577, 519, 8082, 540, 519, 12673, 3330, 513, 14440, 538, 1931, 547, 2327, 602, 519, 14440, 7472, 519, 2953, 12334, 543, 814, 513, 7059, 3280, 2066, 782, 540, 922, 10569, 563, 2304, 3167, 1014, 24870, 538, 519, 10380, 267, 7816, 267, 543, 5826, 540, 5122, 1949, 563, 278, 269, 23866, 23910, 454, 2304, 8301, 11653, 1568, 609, 3280, 538, 1585, 19206, 563, 288, 3338, 322, 1653, 6272, 267, 5932, 267, 543, 15387, 9205, 5624, 971, 607, 10651, 267, 1876, 985, 267, 543, 11614, 563, 280, 269, 16847, 19045, 4518, 518, 454, 9515, 564, 19045, 4518, 518, 454, 288, 6656, 4496, 11832, 24870, 538, 2324, 609, 6094, 4496, 9212, 547, 5958, 622, 267, 3888, 267, 543, 2226, 1585, 2472, 543, 1949, 563, 288, 7143, 1457, 24870, 538, 11836, 4496, 2694, 1927, 1210, 1585, 13841, 2553, 563, 1556, 269, 8490, 28018, 528, 454, 288, 2679, 8524, 528, 4249, 606, 1271, 1909, 538, 4180, 519, 3106, 267, 8699, 267, 543, 10220, 540, 5656, 543, 3889, 609, 2679, 9479, 543, 6042, 563, 1321, 269, 5295, 23910, 454, 288, 1379, 11653, 568, 3743, 585, 8888, 267, 4509, 267, 543, 5665, 1585, 2010, 540, 1379, 1949, 563, 288, 15524, 655, 6033, 568, 513, 9952, 13492, 2006, 945, 24870, 538, 1818, 267, 28472, 267, 543, 4509, 10887, 543, 824, 31321, 563, 288, 726, 3784, 24870, 538, 519, 10380, 267, 7816, 267, 543, 5826, 540, 21818, 1949, 269, 0, 2108, 17829, 26256, 714, 656, 609, 16495, 543, 26069, 723, 1767, 602, 5168, 543, 19969, 616, 519, 5207, 21644, 269, 12484, 826, 602, 568, 18163, 568, 2352, 540, 1373, 6956, 269, 1809, 8726, 621, 568, 267, 621, 568, 1759, 593, 5168, 1848, 630, 300, 1695, 629, 9618, 1092, 267, 966, 3570, 3474, 9366, 476, 20385, 269, 5655, 268, 6246, 1916, 300, 1695, 629, 9618, 1092, 966, 3570, 3474, 9366, 476, 20385, 269, 5655, 268, 6246, 31234, 519, 11506, 4567, 540, 5168, 543, 19969, 607, 14063, 21644, 269, 8409, 945, 4865, 513, 2620, 1620, 540, 16495, 543, 5837, 3741, 5431, 891, 7907, 607, 13654, 547, 5683, 2932, 563, 763, 18627, 11760, 602, 26762, 519, 2470, 540, 18163, 16495, 666, 581, 4101, 269, 1717, 267, 789, 14751, 602, 8726, 13054, 3020, 543, 11972, 16495, 568, 16119, 12082, 538, 5168, 3294, 269, 18266, 5713, 607, 519, 5127, 13702, 2390, 799, 16495, 6763, 267, 5935, 1915, 543, 2932, 563, 268, 11612, 4554, 12484, 1132, 281, 634, 18627, 17551, 5168, 543, 19969, 607, 519, 3138, 1111, 5006, 21644, 267, 6444, 676, 1346, 1134, 14092, 638, 20557, 609, 16495, 543, 5837, 3741, 563, 268, 661, 4156, 12484, 826, 281, 634, 1523, 540, 18163, 16495, 267, 1498, 1950, 267, 568, 14751, 539, 547, 581, 16135, 538, 5168, 267, 8108, 519, 9759, 540, 5837, 1915, 563, 268, 7690, 540, 10886, 281, 18266, 568, 4857, 607, 519, 5748, 2390, 799, 11972, 16495, 568, 3710, 267, 12018, 5683, 2623, 563, 4322, 18627, 896, 1467, 519, 11358, 1909, 540, 5168, 543, 19969, 538, 5935, 5683, 2932, 543, 5837, 1915, 269, 1635, 9301, 5168, 607, 519, 4493, 540, 4075, 6681, 3527, 267, 649, 616, 6273, 547, 11349, 19969, 538, 938, 4205, 609, 1866, 563, 763, 10752, 540, 891, 18627, 5447, 609, 519, 2418, 15469, 676, 1585, 3909, 5389, 602, 11168, 519, 2956, 540, 5168, 6888, 543, 5683, 2623, 269, 1635, 8508, 891, 3838, 21644, 267, 649, 666, 6536, 1620, 543, 10103, 1851, 3309, 2950, 563, 2026, 2043, 267, 649, 666, 4019, 713, 7326, 676, 26724, 5168, 543, 19969, 538, 938, 1913, 267, 3527, 267, 543, 3664, 269, 1635, 3257, 865, 267, 649, 3565, 547, 519, 14713, 540, 16495, 543, 519, 13120, 540, 513, 811, 1175, 543, 5683, 2486, 269, 1452, 18627, 7618, 721, 602, 5168, 711, 1152, 10274, 938, 3527, 855, 849, 5546, 938, 1915, 267, 8108, 519, 22294, 540, 9434, 16495, 269, 0, 19522, 585, 513, 5564, 8811, 4040, 645, 25897, 3060, 454, 296, 4076, 2854, 827, 23893, 645, 25897, 32534, 3590, 7089, 538, 1079, 13096, 8809, 619, 5063, 1317, 594, 4941, 547, 1921, 1079, 3611, 8809, 619, 998, 5769, 609, 519, 1482, 6789, 7089, 269, 1717, 267, 594, 723, 513, 1007, 4305, 585, 891, 2395, 269, 594, 723, 547, 1039, 811, 982, 835, 4959, 303, 547, 519, 3611, 8809, 518, 269, 4475, 267, 594, 786, 723, 547, 19022, 645, 25897, 5265, 585, 1896, 4959, 11679, 267, 799, 568, 606, 4277, 543, 5863, 4305, 269, 898, 779, 849, 606, 4359, 23332, 4305, 1317, 513, 12122, 12161, 666, 9505, 1524, 5769, 547, 5561, 269, 594, 2731, 2648, 13033, 563, 347, 21010, 532, 547, 5565, 610, 811, 4959, 11679, 2008, 20058, 267, 621, 779, 1271, 547, 917, 875, 5769, 31425, 2070, 938, 5121, 269, 1703, 616, 6266, 540, 7270, 593, 519, 2121, 799, 616, 3730, 547, 917, 875, 824, 31425, 666, 6494, 21168, 547, 938, 5121, 269, 1703, 616, 1256, 31425, 1141, 649, 666, 1569, 11884, 609, 1224, 26209, 1569, 547, 2196, 12981, 267, 799, 616, 849, 3730, 547, 1294, 875, 5769, 11507, 1451, 938, 5121, 269, 1280, 3236, 267, 972, 616, 6266, 540, 1863, 1569, 31425, 538, 519, 8940, 269, 709, 974, 1613, 338, 3820, 3896, 1141, 649, 666, 3442, 513, 18760, 267, 1569, 609, 519, 20052, 6339, 3498, 543, 6368, 2196, 12981, 563, 31340, 719, 324, 14358, 5741, 2008, 5629, 649, 723, 15600, 547, 513, 18760, 267, 649, 666, 2196, 12981, 269, 898, 779, 1271, 547, 917, 1018, 12981, 649, 723, 547, 14892, 607, 1134, 607, 649, 723, 547, 1174, 519, 3977, 269, 634, 1397, 28258, 536, 326, 335, 4971, 568, 519, 1655, 835, 547, 917, 875, 824, 31425, 2070, 938, 5121, 269, 1280, 3236, 267, 649, 666, 2196, 1397, 28258, 536, 326, 335, 1341, 3060, 7379, 2232, 547, 917, 875, 1082, 10092, 972, 616, 689, 835, 18760, 547, 938, 3060, 269, 1284, 3580, 1294, 782, 10092, 543, 519, 1655, 2619, 267, 799, 568, 519, 3742, 2619, 269, 901, 4971, 568, 3730, 547, 1294, 519, 645, 25897, 23289, 6538, 563, 21270, 25897, 5440, 1108, 18482, 2008, 763, 645, 25897, 23289, 6538, 610, 645, 25897, 4464, 532, 6538, 568, 513, 3349, 1141, 782, 10092, 616, 4558, 269, 901, 6538, 568, 8242, 676, 519, 645, 25897, 1184, 543, 649, 666, 3406, 875, 31425, 666, 6494, 21168, 547, 1169, 3060, 538, 713, 6538, 607, 1134, 607, 649, 3580, 917, 10305, 971, 607, 11973, 267, 2199, 13283, 267, 2597, 267, 3092, 269, 898, 779, 1271, 547, 5031, 645, 25897, 23289, 6538, 568, 1114, 547, 519, 23332, 3349, 1317, 519, 23332, 3349, 1152, 814, 519, 1655, 2619, 3079, 540, 782, 2619, 607, 519, 645, 25897, 23289, 6538, 1281, 563, 2467, 568, 606, 4277, 3896, 594, 6557, 1031, 547, 9683, 269, 634, 681, 2946, 572, 14513, 7379, 16402, 335, 2946, 839, 8416, 18509, 1588, 10418, 814, 6266, 540, 2200, 827, 7379, 341, 275, 9607, 267, 7379, 341, 277, 9607, 543, 14628, 1062, 2338, 269, 1280, 3236, 267, 649, 666, 1294, 3362, 689, 519, 8940, 269, 686, 701, 14492, 3896, 875, 1114, 31425, 689, 5769, 1294, 938, 3060, 269, 4475, 267, 621, 779, 2653, 547, 1294, 689, 713, 3896, 952, 938, 3060, 568, 6994, 2213, 998, 1896, 4959, 11679, 563, 7661, 267, 952, 596, 960, 607, 513, 3060, 11653, 267, 596, 3580, 723, 547, 1174, 6422, 23332, 10873, 971, 607, 645, 25897, 5265, 269, 1403, 596, 616, 2469, 547, 14441, 707, 1378, 11507, 547, 5769, 267, 596, 3580, 723, 547, 917, 875, 519, 645, 25897, 7014, 1568, 269, 1403, 596, 616, 711, 2386, 1018, 596, 616, 3257, 267, 519, 1655, 4781, 568, 547, 3346, 609, 3318, 2533, 563, 16032, 14621, 1250, 2828, 269, 5901, 1565, 256, 29100, 513, 1899, 609, 519, 1101, 3364, 596, 616, 3206, 256, 0, 763, 1888, 540, 4901, 7710, 519, 4241, 2078, 1063, 7920, 737, 26147, 2866, 543, 2566, 8323, 998, 519, 5305, 540, 1439, 6973, 1231, 269, 10127, 622, 267, 513, 19831, 1148, 1106, 23608, 689, 3567, 267, 568, 1634, 585, 922, 9308, 14053, 2470, 543, 11826, 2866, 7886, 269, 901, 12651, 519, 2243, 540, 875 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 811, 2143, 1344, 865, 596, 666, 4677, 609, 6015, 543, 723, 1187, 3257, 621, 269, 5192, 4712, 547, 2972, 930, 540, 519, 1655, 2389, 8463, 5613, 267, 5388, 267, 543, 11922, 596, 4076, 2479, 13881, 543, 2070, 930, 4190, 5810, 1932, 563, 2252, 596, 4465, 1406, 3548, 513, 7693, 267, 1810, 1406, 1332, 621, 538, 707, 10448, 4677, 269, 10312, 593, 519, 5613, 267, 5388, 610, 11922, 602, 707, 1920, 21593, 519, 1034, 269, 5269, 2386, 707, 1283, 5079, 1118, 2631, 585, 707, 1858, 269, 7612, 856, 707, 12202, 7997, 543, 6059, 1101, 543, 2063, 15470, 7389, 269, 1403, 2009, 267, 2911, 547, 3811, 22254, 538, 707, 1858, 547, 1265, 856, 799, 7031, 1332, 1134, 543, 799, 1810, 1406, 269, 1684, 596, 1616, 547, 1544, 585, 4859, 5388, 267, 610, 1152, 2614, 547, 3548, 4195, 286, 898, 779, 4440, 1655, 547, 1376, 707, 4677, 5631, 609, 4195, 4189, 538, 2247, 267, 855, 930, 5388, 616, 5393, 2653, 547, 4558, 563, 7197, 5613, 543, 5388, 991, 2407, 3141, 267, 609, 513, 5934, 540, 2947, 3108, 540, 1463, 7943, 829, 1554, 585, 2927, 1746, 269, 13983, 839, 267, 11922, 543, 3597, 19787, 786, 1332, 538, 9864, 12094, 269, 8828, 10651, 949, 4324, 689, 3735, 12784, 12094, 267, 6466, 7187, 10651, 2693, 991, 782, 519, 3141, 789, 666, 1205, 269, 6056, 827, 875, 596, 786, 1569, 519, 4677, 585, 16116, 267, 14450, 543, 12391, 585, 707, 2371, 269, 4934, 540, 8289, 1419, 11224, 856, 540, 2247, 1107, 543, 513, 20495, 4677, 269, 3680, 1164, 2842, 2127, 543, 15470, 22836, 630, 869, 2127, 1141, 15470, 568, 2693, 547, 7017, 1040, 13772, 856, 585, 7320, 267, 4620, 3441, 543, 1453, 779, 1404, 2127, 563, 23945, 2659, 20233, 719, 454, 5629, 596, 917, 1141, 596, 1616, 707, 4677, 267, 6430, 593, 519, 1826, 543, 2450, 540, 4677, 5127, 4433, 1040, 14780, 2213, 15135, 616, 10694, 543, 949, 1118, 621, 4443, 547, 960, 538, 707, 4677, 267, 855, 789, 849, 3819, 856, 811, 3533, 269, 769, 1360, 3819, 2127, 267, 3141, 5287, 15135, 666, 581, 1031, 547, 5531, 2139, 7509, 269, 6056, 827, 9544, 707, 4677, 538, 7161, 610, 15135, 540, 2371, 3079, 540, 2582, 9343, 269, 645, 2644, 1058, 581, 476, 274, 547, 476, 275, 3952, 2066, 1107, 7522, 2614, 602, 596, 666, 3914, 519, 4099, 689, 2901, 2427, 269, 645, 2644, 1058, 581, 10199, 476, 1015, 3952, 1279, 610, 1447, 267, 865, 596, 2461, 711, 15673, 539, 547, 1900, 883, 519, 5127, 543, 11741, 519, 2666, 269, 10738, 519, 4677, 15135, 267, 1747, 2371, 538, 9343, 610, 513, 7470, 4806, 269, 634, 3804, 568, 7413, 3802, 1811, 543, 11694, 3395, 2230, 269, 1411, 1152, 1039, 13226, 543, 3037, 22853, 547, 519, 9544, 1858, 267, 799, 17990, 942, 543, 2724, 269, 3399, 1507, 267, 543, 1118, 2386, 547, 2285, 1142, 2030, 2614, 4055, 547, 1332, 269, 634, 5452, 543, 1098, 17852, 616, 6263, 267, 855, 2407, 6738, 2371, 666, 1205, 5458, 269, 3683, 322, 992, 4765, 2371, 723, 7411, 14762, 269, 589, 1507, 267, 1134, 2389, 2105, 4677, 666, 3132, 607, 1454, 610, 811, 982, 513, 1804, 267, 14605, 22157, 4677, 269, 25351, 9771, 610, 4009, 15135, 616, 519, 1034, 1455, 267, 855, 596, 2461, 1152, 3908, 676, 707, 9345, 543, 2679, 1983, 563, 2252, 596, 1616, 547, 2119, 547, 1332, 19794, 267, 596, 666, 25837, 811, 7031, 883, 1447, 2230, 269, 589, 1726, 961, 529, 11721, 775, 610, 6382, 666, 19794, 1332, 14274, 267, 10365, 267, 17112, 267, 31480, 267, 543, 12212, 824, 7031, 269, 1548, 952, 596, 723, 513, 13452, 609, 3908, 3395, 2230, 286, 6333, 1332, 11435, 610, 11149, 547, 1376, 707, 4677, 563, 763, 1318, 2645, 1118, 2324, 538, 707, 4677, 513, 12257, 3079, 540, 513, 25287, 269, 1411, 1810, 1406, 946, 513, 7423, 17180, 547, 14299, 909, 6151, 17436, 267, 543, 596, 12582, 1406, 946, 20585, 610, 1166, 574, 1910, 2645, 547, 960, 538, 707, 4677, 269, 9978, 12202, 3937, 2882, 912, 268, 12567, 554, 4141, 454, 268, 2480, 28984, 554, 4141, 454, 268, 667, 7398, 986, 651, 454, 268, 23516, 986, 651, 454, 268, 12567, 1744, 334, 767, 610, 667, 6023, 1744, 334, 767, 454, 268, 7435, 2645, 454, 268, 4826, 532, 666, 454, 268, 12567, 17309, 454, 6524, 596, 1376, 2679, 707, 4677, 15135, 610, 9544, 267, 596, 991, 547, 917, 1945, 827, 707, 4677, 3037, 269, 1772, 707, 3037, 15755, 267, 22279, 610, 9243, 9063, 286, 1684, 596, 723, 5070, 267, 10036, 267, 521, 2830, 267, 7725, 267, 610, 513, 3575, 540, 782, 2185, 286, 1772, 972, 513, 1981, 540, 3037, 12526, 689, 7404, 3889, 267, 4155, 1811, 610, 824, 2959, 286, 6496, 621, 723, 513, 1434, 2179, 540, 2596, 5567, 286, 2368, 540, 891, 4162, 666, 581, 5462, 1175, 689, 3168, 693, 519, 3037, 269, 1280, 3236, 267, 1291, 12526, 689, 2025, 2777, 5862, 610, 7404, 4155, 1811, 609, 5230, 6808, 568, 513, 1966, 538, 930, 2127, 269, 4107, 4677, 7031, 4782, 3037, 609, 513, 9063, 1472, 476, 278, 630, 928, 23018, 1070, 4352, 930, 899, 2175, 602, 616, 5594, 15755, 630, 13607, 10633, 267, 585, 3236, 264, 610, 5594, 22279, 269, 7195, 2331, 8770, 2157, 616, 849, 1271, 267, 607, 568, 519, 4527, 540, 5214, 2339, 563, 2252, 596, 2461, 4358, 609, 7091, 267, 596, 3580, 2901, 991, 547, 2759, 621, 909, 538, 25098, 543, 1065, 17123, 621, 267, 11489, 621, 538, 267, 610, 2482, 1524, 6632, 11356, 610, 21312, 547, 1159, 1278, 621, 543, 1628, 513, 5127, 593, 1283, 269, 27759, 538, 2887, 568, 1655, 267, 855, 1810, 1406, 1577, 602, 3247, 596, 689, 4358, 538, 5614, 269, 4107, 2371, 4782, 513, 2620, 267, 1134, 1673, 11712, 267, 15417, 3037, 3638, 538, 5214, 2339, 269, 7233, 5072, 991, 1434, 4677, 3037, 547, 3132, 1434, 5388, 543, 4829, 269, 4495, 596, 1376, 513, 4677, 267, 596, 3580, 2744, 513, 1007, 7071, 585, 2635, 3037, 607, 621, 10607, 1032, 1310, 1032, 269, 13245, 267, 7524, 3037, 815, 2635, 267, 7524, 2371, 609, 3710, 538, 2068, 543, 11641, 4187, 543, 811, 6484, 563, 9558, 17852, 610, 25994, 454, 2252, 596, 1616, 547, 1332, 1808, 8677, 267, 2523, 25752, 5979, 558, 8677, 267, 596, 3580, 4440, 991, 547, 1332, 707, 1378, 1098, 17852, 689, 6079, 269, 18786, 707, 1378, 1098, 17852, 568, 513, 1390, 1259, 547, 4688, 2724, 267, 1932, 269, 1403, 596, 2461, 711, 4712, 547, 10994, 3395, 1098, 17852, 585, 707, 4677, 267, 1934, 616, 930, 4388, 547, 948, 596, 5544, 519, 1655, 2371, 693, 519, 21543, 269, 6733, 585, 17428, 602, 616, 10199, 3160, 538, 2450, 547, 519, 2030, 269, 8262, 2371, 538, 6263, 17428, 616, 811, 2693, 547, 581, 3597, 3808, 630, 5976, 5072, 8126, 1194, 543, 3395, 538, 10580, 3330, 519, 1494, 264, 543, 7985, 689, 13003, 8710, 950, 12630, 538, 519, 4677, 269, 13772, 585, 4191, 540, 2566, 971, 607, 5521, 3441, 610, 5835, 3762, 269, 4107, 6079, 21168, 543, 13003, 11149, 2097, 609, 2596, 9544, 5528, 269, 4495, 596, 4076, 2944, 519, 2666, 960, 630, 32173, 958, 1070, 596, 1175, 991, 547, 7914, 538, 543, 2030, 269, 3807, 2285, 621, 513, 2119, 543, 596, 666, 1451, 519, 1964, 607, 596, 979, 563, 305, 2737, 540, 14853, 585, 9544, 538, 707, 4677, 912, 268, 7233, 5452, 10199, 476, 274, 2053, 607, 2620, 607, 519, 8006, 540, 519, 6079, 267, 8259, 6382, 9859, 593, 519, 10189, 269, 2368, 5452, 2154, 1769, 585, 23286, 563, 268, 1280, 1098, 17852, 1107, 1034, 1098, 17852, 616, 12630, 693, 519, 1482, 3178, 789, 941, 3395, 538, 519, 1494, 269, 634, 9868, 568, 14274, 267, 799, 666, 581, 12630, 4514, 610, 512, 27221, 538, 563, 268, 27016, 2394, 8594, 540, 15470, 568, 2250, 547, 2030, 3002, 15962, 2371, 971, 607, 14274, 267, 18717, 267, 31480, 267, 21453, 571, 267, 3092, 563, 268, 8479, 2371, 616, 4443, 547, 3441, 982, 4587, 2371, 267, 865, 789, 949, 991, 4027, 610, 2182, 2287, 1055, 950, 789, 616, 12630, 3544, 563, 268, 1703, 779, 606, 2025, 6031, 602, 3081, 267, 968, 763, 1655, 13226, 568, 519, 32529, 779, 14692, 1848, 1403, 596, 2461, 711, 5423, 547, 1118, 942, 538, 707, 8430, 547, 4043, 547, 707, 2371, 267, 596, 949, 581, 1732, 1055, 18644, 519, 16027, 779, 2344, 267, 610, 23578, 609, 5393, 1970, 5826, 3688, 899, 28667, 610, 11922, 269, 13689, 593, 519, 2450, 540, 707, 2030, 902, 267, 942, 4170, 949, 2039, 689, 513, 1906, 3764, 829, 1554, 547, 513, 2407, 942, 2816, 563, 301, 629, 18047, 950, 789, 2461, 1507, 609, 513, 1085, 28984, 554, 4141, 1107, 610, 946, 873, 607, 2666, 16225, 267, 1426, 610, 4915, 269, 589, 4341, 540, 14853, 585, 14450, 568, 602, 2371, 991, 1472, 835, 10759, 540, 1216, 829, 3018, 1282, 519, 3395, 4005, 269, 1403, 22856, 3111, 267, 596, 3580, 991, 547, 1216, 707, 4677, 269, 3683, 14450, 568, 607, 3983, 607, 896, 14450, 267, 865, 2141, 2638, 519, 3037, 1354, 7432, 593, 513, 7148, 610, 18644, 519, 4764, 29054, 269, 14606, 602, 568, 1932, 6632, 666, 2014, 5452, 543, 5072, 547, 4232, 269, 645, 13903, 616, 811, 13631, 547, 2371, 602, 616, 14129, 610, 538, 930, 1259, 28119, 269, 1403, 596, 723, 2635, 267, 1134, 5991, 712, 1639, 2371, 267, 707, 11641, 2042, 1058, 581, 8766, 269, 1403, 596, 723, 513, 1966, 267, 8458, 616, 972, 779, 606, 5214, 3070, 563, 2026, 7031, 9921, 267, 1118, 2386, 547, 7556, 16425, 585, 1655, 2298, 269, 23516, 344, 16719, 899, 23858, 616, 3335, 968, 12827, 543, 2097, 1586, 5608, 799, 1797, 596, 666, 17157, 1055, 519, 3762, 543, 789, 786, 556, 3766, 992, 585, 1776, 7556, 269, 17292, 10365, 543, 17112, 1169, 1079, 547, 1614, 2395, 269, 28610, 6653, 8970, 950, 524, 10849, 616, 1134, 4904, 856, 543, 16536, 568, 4158, 269, 28610, 14274, 543, 18717, 3039, 267, 610, 1450, 873, 547, 18009, 523, 547, 2407, 29284, 543, 8137, 269, 4469, 2948, 568, 3335, 693, 513, 8445, 950, 519, 6640, 632, 342, 814, 23498, 267, 855, 1354, 519, 12784, 3002, 814, 12306, 538, 269, 12726, 543, 6430, 1018, 16919, 1655, 547, 596, 563, 3080, 540, 519, 4128, 585, 12202, 568, 1317, 952, 1919, 1810, 1406, 960, 856, 1318, 519, 1101, 942, 267, 972, 779, 2141, 1985, 1032, 269, 1703, 616, 19421, 540, 1114, 2081, 547, 798, 1175, 827, 3388, 267, 855, 596, 4465, 1406, 917, 1018, 1568, 1655, 585, 596, 543, 707, 4677, 2394, 596, 2119, 269, 1403, 513, 2030, 11305, 1886, 1281, 14605, 519, 1101, 942, 596, 2030, 621, 267, 2119, 1586, 563, 13425, 856, 4179, 2517, 680, 13183, 731, 1465, 269, 1513, 30994, 6767, 10993, 270, 15771, 313, 300, 16158, 270, 585, 1344, 593, 6237, 3395, 2175, 563, 15371, 596, 723, 476, 2004, 610, 476, 4335, 4009, 3952, 540, 1858, 602, 596, 1131, 899, 547, 2030, 609, 5810, 267, 519, 1184, 1058, 581, 1187, 543, 11791, 269, 589, 8768, 4677, 24492, 338, 609, 3255, 585, 519, 3860, 6891, 547, 2097, 9800, 269, 2659, 4677, 568, 707, 17198, 1317, 621, 5963, 568, 513, 1259, 540, 15603, 519, 7376, 856, 269, 898, 17212, 1407, 1250, 2566, 543, 621, 779, 513, 1390, 15904, 1932, 256, 1924, 952, 596, 2461, 4712, 547, 2490, 602, 11953, 5544, 538, 707, 13452, 883, 519, 1985, 3933, 320, 23436, 267, 1175, 1246, 891, 3268, 563, 29991, 2659, 27484, 454, 2467, 616, 1082, 2081, 547, 1935, 707, 17198, 267, 543, 621, 779, 2731, 3833, 909, 547, 596, 269, 1703, 568, 1100, 1318, 610, 4636, 1934, 269, 1411, 666, 2212, 936, 547, 519, 2199, 5399, 610, 21869, 648, 543, 7485, 909, 513, 11381, 538, 519, 12202, 513, 529, 548, 269, 32449, 936, 5961, 540, 2296, 10651, 267, 741, 5929, 5898, 568, 2141, 513, 10950, 8289, 267, 610, 5490, 883, 9909, 540, 10427, 5545, 10651, 602, 8300, 24789, 269, 2107, 1118, 909, 707, 1378, 12202, 6249, 563, 23945, 2659, 20233, 719, 454, 5629, 596, 723, 606, 2856, 540, 799, 4287, 596, 1616, 547, 1491, 707, 20100, 267, 10544, 513, 4062, 540, 3113, 1957, 543, 930, 11954, 22796, 543, 4786, 621, 856, 269, 1411, 1082, 1616, 547, 2119, 513, 13561, 1907, 593, 519, 14568, 23467, 543, 25052, 3896, 1572, 519, 968, 23945, 8584, 8566, 31678, 1848, 1411, 666, 17250, 856, 707, 1753, 543, 824, 3889, 593, 3135, 543, 1287, 2721, 519, 11768, 540, 707, 8768, 4677, 1472, 873, 269, 2142, 2386, 547, 7747, 952, 519, 3135, 596, 1616, 547, 946, 4991, 2407, 610, 9864, 3141, 610, 6140, 12094, 267, 607, 602, 786, 20427 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4462, 24286, 519, 15783, 540, 30892, 22769, 281, 1215, 28597, 17540, 1564, 5071, 16743, 454, 1103, 2221, 779, 3059, 2085, 267, 3593, 8818, 630, 21397, 264, 1374, 4249, 513, 11358, 1909, 538, 8159, 519, 1967, 610, 5821, 540, 513, 1587, 610, 3028, 269, 589, 1134, 27059, 30892, 666, 3986, 32636, 267, 2333, 3593, 9547, 267, 543, 6038, 5397, 1870, 2208, 269, 1717, 267, 519, 4028, 13120, 540, 2029, 814, 849, 2016, 4473, 547, 1007, 2591, 267, 3226, 538, 519, 1106, 540, 9431, 10220, 563, 21397, 6042, 723, 1831, 2629, 585, 4180, 602, 2472, 543, 2533, 5447, 609, 1312, 3656, 4170, 543, 3593, 6788, 269, 2755, 930, 949, 2070, 6042, 607, 513, 12042, 8896, 547, 1374, 5647, 267, 789, 2965, 1683, 513, 4396, 5748, 585, 6117, 3860, 3435, 269, 769, 713, 2376, 267, 649, 786, 2263, 875, 10220, 10173, 1374, 5647, 543, 796, 331, 4169, 519, 2407, 1761, 540, 30892, 563, 272, 269, 31514, 29456, 912, 3080, 540, 519, 1883, 2934, 540, 30892, 6042, 568, 741, 1445, 593, 10333, 269, 22769, 23626, 602, 2472, 543, 2533, 1590, 581, 26729, 676, 2043, 609, 9124, 269, 2755, 713, 949, 20818, 1978, 10148, 593, 1374, 267, 621, 849, 6799, 606, 4316, 547, 1589, 3544, 519, 4216, 543, 1711, 8537, 2833, 585, 782, 3755, 563, 17637, 619, 616, 1631, 13934, 547, 1711, 17103, 602, 13918, 1114, 2010, 540, 23043, 267, 971, 607, 3308, 267, 17391, 267, 543, 5179, 9124, 269, 901, 11479, 5647, 676, 11319, 9858, 547, 1265, 3860, 543, 16022, 2081, 547, 7753, 891, 2591, 1510, 18731, 519, 15312, 610, 10342, 540, 519, 30892, 563, 273, 269, 26875, 1944, 14871, 21041, 543, 8232, 912, 4415, 2810, 4145, 827, 1239, 7834, 543, 14590, 267, 30892, 6042, 723, 849, 5116, 513, 2178, 8561, 593, 7863, 3593, 1344, 269, 5071, 619, 616, 1631, 2838, 547, 6451, 7834, 7266, 878, 2934, 267, 971, 607, 1239, 14238, 267, 30704, 10479, 5468, 267, 543, 12001, 1239, 7829, 2853, 563, 4407, 4180, 10220, 1522, 4125, 3606, 1646, 3646, 267, 621, 849, 12153, 5647, 538, 30892, 1374, 269, 5071, 619, 1590, 1265, 2081, 547, 30082, 5968, 7834, 543, 3354, 3800, 1510, 11566, 610, 14845, 3755, 269, 901, 666, 581, 12913, 998, 13181, 3308, 10291, 267, 16866, 5468, 27487, 267, 543, 3593, 7888, 7834, 4507, 563, 274, 269, 9208, 1944, 772, 311, 18963, 912, 21397, 6042, 1419, 1331, 4808, 543, 1655, 2853, 585, 3593, 1995, 630, 308, 311, 264, 1374, 269, 2755, 930, 1522, 8044, 602, 713, 7182, 5876, 267, 621, 2965, 4249, 513, 2565, 1909, 538, 2870, 5812, 543, 16022, 2833, 2066, 1114, 5867, 543, 3457, 563, 24092, 1436, 2337, 3755, 14678, 24559, 2933, 609, 513, 30892, 267, 3056, 547, 4824, 32636, 543, 4389, 1565, 14258, 269, 1879, 9858, 15666, 547, 891, 4808, 267, 621, 7512, 5499, 3435, 1369, 519, 3989, 5943, 269, 16743, 666, 2097, 538, 519, 1106, 540, 15931, 4205, 267, 2890, 12845, 574, 725, 267, 610, 13181, 5470, 7829, 6127, 267, 782, 4611, 538, 513, 811, 2502, 3593, 1995, 563, 275, 269, 32010, 19078, 5071, 14362, 912, 21397, 6042, 849, 2832, 547, 3895, 5683, 1374, 2853, 269, 1358, 5000, 9858, 547, 2015, 519, 1761, 1764, 540, 741, 17103, 593, 3755, 685, 1134, 5630, 267, 2790, 1072, 267, 543, 2949, 9547, 269, 1635, 10771, 5683, 9270, 267, 6042, 17362, 519, 1259, 585, 3743, 543, 28450, 1374, 563, 17637, 619, 616, 1631, 13934, 547, 1711, 772, 3674, 602, 4225, 3593, 1134, 5630, 676, 4227, 19240, 267, 5009, 11413, 267, 543, 8716, 2318, 3593, 5615, 269, 901, 5012, 547, 5647, 538, 30892, 1374, 676, 6220, 2934, 971, 607, 813, 6165, 9477, 267, 3059, 1134, 5630, 23106, 267, 543, 1543, 20208, 2645, 563, 1103, 3932, 267, 30892, 6042, 1058, 581, 2938, 607, 513, 18463, 585, 1374, 5647, 2864, 982, 513, 12042, 8896, 269, 28597, 711, 1152, 5849, 3656, 4170, 616, 1558, 855, 849, 31168, 5876, 543, 11479, 519, 1646, 540, 3435, 602, 3986, 32636, 267, 7834, 267, 32301, 267, 543, 5683, 1374, 3741, 563, 3528, 8508, 10220, 267, 9858, 666, 12260, 519, 2407, 1761, 540, 30892, 1374, 267, 1818, 2472, 543, 2533, 811, 3015, 267, 5150, 267, 16022, 267, 543, 3593, 7266, 878, 269, 3414, 713, 1935, 267, 9431, 10220, 3587, 519, 5748, 585, 3811, 1374, 5647, 602, 6038, 2640, 1312, 3755, 543, 4213, 7567, 563, 16920, 3737, 616, 4143, 2592, 602, 13686, 519, 2956, 540, 10220, 538, 30892, 1374, 269, 2290, 3239, 28420, 513, 1268, 609, 513, 3308, 15717, 16900, 1210, 606, 8818, 602, 740, 12742, 547, 10333, 6042, 269, 6271, 3239, 14550, 519, 2956, 540, 7834, 543, 1239, 3354, 676, 18995, 513, 3593, 18390, 15025, 609, 513, 30892, 602, 5849, 519, 4027, 540, 2123, 1344, 563, 263, 11900, 1068, 2592, 1934, 994, 2414, 1683, 606, 7317, 1995, 267, 649, 723, 849, 2813, 513, 2110, 3381, 602, 8711, 519, 1764, 540, 10220, 593, 30892, 1374, 5647, 269, 634, 3381, 20502, 1483, 3734, 1806, 1141, 10220, 12454, 1374, 814, 3366, 547, 8476, 3593, 2833, 267, 2799, 3972, 267, 543, 5818, 539, 1870, 2208, 563, 10490, 644, 1470, 19405, 2139, 2390, 7662, 994, 263, 9616, 281, 7490, 3277, 547, 519, 7923, 19180, 6119, 585, 513, 3102, 1620, 540, 519, 2035, 5941, 538, 713, 2376, 8094, 11514, 25068, 281, 634, 2592, 543, 7044, 1031, 538, 713, 2376, 616, 585, 3879, 13577, 5301, 1152, 543, 949, 711, 2099, 1808, 2472, 610, 2533, 563, 258, 4462, 24286, 1948, 22025, 1113, 1948, 8802, 2827, 1948, 4467, 20869, 1948, 293, 340, 1564, 1948, 17637, 1948, 1103, 2617, 566, 0, 25444, 4991, 1970, 30181, 689, 942, 547, 942, 267, 855, 952, 891, 4606, 1810, 1406, 979, 2476, 267, 621, 1223, 581, 513, 1129, 540, 4965, 269, 18833, 1018, 547, 1413, 856, 585, 543, 1141, 596, 666, 979, 585, 948, 666, 581, 519, 1101, 3268, 4724, 4743, 1732, 563, 1432, 568, 4965, 888, 12831, 1833, 568, 513, 1455, 2790, 1072, 1966, 602, 5540, 1472, 476, 272, 538, 476, 276, 4587, 1004, 269, 898, 1522, 1331, 513, 1970, 7099, 267, 4743, 27945, 610, 9561, 18399, 585, 1919, 269, 1809, 4965, 849, 814, 1082, 824, 2589, 596, 1522, 711, 2503, 563, 1692, 596, 1522, 1745, 454, 2005, 666, 581, 2182, 547, 2995, 952, 596, 723, 4965, 1317, 875, 621, 7959, 543, 1018, 621, 5654, 899, 666, 4268, 689, 1268, 547, 1268, 269, 1411, 1522, 1995, 513, 2039, 540, 4555, 543, 4606, 269, 1280, 1383, 267, 596, 1522, 912, 17380, 11981, 519, 1919, 602, 596, 1031, 547, 2972, 454, 22772, 621, 2182, 547, 13404, 454, 10623, 601, 27303, 610, 27945, 454, 13069, 727, 8886, 762, 1472, 824, 1004, 267, 610, 2057, 873, 454, 10623, 601, 8909, 610, 723, 513, 1970, 7099, 602, 3085, 1406, 12740, 454, 17647, 2042, 609, 707, 3965, 563, 302, 19520, 1004, 609, 4965, 666, 1995, 811, 2168, 2589, 269, 901, 1522, 1611, 596, 912, 2005, 779, 2653, 547, 16620, 3054, 952, 596, 2461, 4743, 1970, 267, 855, 3314, 602, 4965, 568, 711, 707, 13337, 269, 7102, 2352, 1305, 3724, 610, 1272, 1689, 666, 1860, 938, 2790, 1072, 543, 1118, 721, 811, 7925, 547, 4742, 20158, 563, 7312, 4606, 540, 4965, 949, 581, 1305, 1055, 676, 581, 516, 29713, 610, 2530, 267, 4743, 24949, 610, 9678, 267, 513, 1974, 540, 2192, 1072, 610, 676, 1978, 6527, 269, 6884, 267, 596, 949, 1265, 972, 779, 1100, 2312, 2601, 585, 4743, 20158, 563, 12831, 1833, 543, 12110, 454, 12831, 1833, 8843, 930, 2589, 609, 12110, 267, 971, 607, 3965, 2042, 610, 7411, 23622, 269, 1411, 949, 5855, 602, 596, 723, 12110, 950, 596, 2461, 2965, 20158, 269, 898, 949, 849, 1118, 621, 9875, 547, 13209, 4965, 952, 596, 2907, 723, 12110, 563, 27269, 267, 5712, 540, 1970, 7099, 4465, 1406, 2063, 1279, 269, 1403, 972, 779, 606, 6654, 2014, 267, 707, 7099, 949, 12740, 2899, 519, 1966, 568, 17251, 269, 1809, 621, 779, 15502, 547, 3343, 948, 693, 1022, 942, 267, 2436, 596, 4076, 1175, 3323, 4743, 1970, 610, 596, 4076, 1044, 4466, 1919, 2352, 585, 930, 942, 563, 2791, 1522, 1616, 547, 2015, 1489, 952, 912, 9767, 723, 2942, 4606, 602, 616, 3478, 8338, 610, 2063, 811, 982, 1079, 4374, 454, 1492, 2589, 616, 7679, 1359, 609, 707, 3232, 1272, 454, 20365, 1920, 543, 2828, 616, 14126, 454, 9767, 4076, 6378, 513, 4052, 1966, 602, 1522, 723, 3361, 707, 4965, 267, 855, 596, 1869, 1745, 1524, 454, 9767, 2461, 2348, 4555, 540, 1582, 3620, 1301, 610, 3206, 602, 1272, 3884, 1406, 4502, 2713, 563, 2252, 596, 1745, 596, 666, 1405, 979, 593, 454, 2252, 596, 1376, 547, 1745, 602, 1272, 3884, 1406, 4502, 2713, 610, 602, 596, 1616, 547, 2800, 3054, 267, 1205, 948, 5612, 563, 2252, 707, 1272, 568, 693, 1981, 267, 1289, 476, 15886, 543, 2307, 585, 606, 5605, 592, 766, 563, 2791, 1810, 1406, 723, 547, 723, 2168, 2589, 547, 3717, 547, 707, 13382, 827, 707, 1072, 269, 1403, 596, 2461, 7680, 1970, 7099, 610, 4965, 267, 707, 13382, 786, 581, 2111, 547, 2708, 707, 3510, 543, 2911, 827, 2126, 3681, 609, 596, 269, 1358, 1522, 2303, 912, 339, 22736, 11257, 267, 971, 607, 5646, 18522, 610, 5042, 24040, 3797, 630, 30274, 994, 4364, 1709, 267, 1519, 31520, 454, 1345, 25298, 2200, 543, 2238, 267, 971, 607, 1489, 2516, 267, 2228, 2645, 543, 2835, 454, 320, 4999, 540, 891, 1919, 563, 2005, 779, 513, 1434, 2856, 547, 2328, 1524, 3388, 596, 1616, 547, 2161, 547, 519, 13382, 865, 596, 1810, 1406, 7340, 1282, 519, 13393, 269, 3776, 2564, 13393, 1544, 1676, 666, 948, 596, 1376, 269, 1411, 1522, 1265, 621, 5363, 547, 723, 513, 3659, 610, 3448, 609, 596, 585, 1489, 950, 596, 1294, 707, 13382, 563, 307, 805, 906, 585, 4965, 454, 2467, 616, 6266, 540, 5574, 2139, 547, 948, 609, 4965, 269, 1358, 666, 581, 1360, 2500, 267, 1256, 952, 596, 4076, 1044, 4743, 1970, 585, 513, 1279, 942, 563, 307, 22736, 11257, 2356, 4125, 6340, 547, 513, 8036, 13309, 827, 707, 4555, 267, 4606, 543, 2833, 269, 1358, 666, 948, 596, 1265, 2081, 547, 4383, 519, 7965, 596, 2461, 2348, 269, 1703, 616, 1114, 2010, 267, 1519, 912, 7312, 13382, 666, 3277, 596, 585, 23244, 2533, 267, 799, 949, 581, 6035, 835, 3562, 14633, 267, 538, 513, 1895, 267, 936, 519, 6049, 610, 2228, 269, 769, 4789, 267, 596, 666, 849, 3277, 3054, 563, 2791, 666, 1224, 811, 827, 6158, 11257, 543, 875, 547, 1569, 873, 693, 912, 9767, 4312, 8737, 513, 2110, 1576, 540, 23244, 3797, 855, 1616, 811, 1489, 454, 9767, 1616, 811, 3903, 563, 1607, 1522, 711, 581, 606, 4781, 585, 3025, 1317, 621, 666, 581, 7199, 269, 634, 1942, 666, 4268, 513, 2603, 267, 865, 621, 779, 4502, 3168, 1472, 563, 7312, 13382, 1058, 581, 2111, 547, 948, 596, 1265, 513, 13309, 269, 1411, 1223, 849, 3346, 912, 13014, 2386, 707, 13309, 568, 26886, 676, 513, 3318, 1560, 267, 971, 607, 519, 645, 3722, 303, 563, 7312, 13382, 1522, 2709, 596, 6646, 267, 971, 607, 31520, 269, 1358, 1058, 2995, 596, 875, 1279, 596, 949, 991, 547, 1491, 621, 543, 827, 2009, 2427, 2360, 269, 898, 779, 1271, 547, 2638, 602, 1022, 1007, 6646, 786, 960, 1134, 609, 4376, 596, 2461, 2907, 2921, 563, 13014, 2386, 596, 1246, 707, 13382, 779, 5796, 585, 1022, 6646, 596, 4076, 1044, 11311, 269, 1403, 596, 1616, 547, 1491, 513, 2539, 9570, 610, 3247, 4625, 267, 2911, 547, 707, 13382, 1101, 267, 1256, 952, 596, 2461, 4743, 1732, 269, 28527, 1055, 930, 6527, 267, 971, 607, 31520, 267, 666, 2014, 15639, 2589, 952, 596, 3247, 2921, 873, 1932, 3533, 269, 9650, 814, 811, 1344, 827, 31520, 563, 8340, 1489, 538, 707, 2146, 454, 26222, 14540, 949, 2709, 5646, 18522, 610, 723, 1489, 2516, 267, 1141, 1004, 609, 3838, 2833, 948, 1142, 824, 269, 1452, 1331, 912, 16485, 707, 13382, 610, 5646, 8688, 528, 585, 7840, 540, 1582, 25298, 2200, 602, 596, 666, 798, 538, 707, 1378, 942, 269, 1358, 1522, 2303, 2835, 267, 8301, 10274, 610, 2228, 2533, 563, 2791, 666, 1265, 1863, 267, 4052, 2645, 593, 519, 23244, 7270, 547, 948, 596, 609, 707, 2790, 1072, 543, 8171, 693, 912, 560, 599, 538, 5905, 609, 1866, 1107, 596, 949, 1616, 547, 2057, 1866, 267, 855, 4743, 24949, 666, 1039, 547, 4965, 269, 8347, 547, 3251, 538, 5905, 609, 1004, 267, 1256, 952, 621, 7959, 899, 606, 4674, 693, 1101, 269, 898, 666, 948, 596, 1745, 811, 2318, 454, 19972, 1310, 707, 2168, 1072, 1107, 875, 596, 1745, 9308, 666, 1860, 707, 2790 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 519, 17737, 267, 621, 849, 11151, 519, 12217, 689, 1373, 2111, 547, 1796, 20005, 267, 610, 538, 930, 2665, 1847, 693, 782, 269, 12389, 585, 476, 1015, 1700, 1321, 1296, 896, 971, 6381, 2164, 538, 4049, 2790, 2566, 543, 4887, 693, 15577, 269, 634, 4457, 2923, 4080, 606, 10071, 538, 799, 513, 3993, 7703, 1193, 22931, 1200, 1378, 7750, 1287, 7166, 9887, 547, 22302, 873, 1312, 689, 971, 513, 1272, 269, 769, 1079, 2203, 4457, 23925, 11396, 267, 519, 9966, 2033, 5980, 540, 519, 2136, 2276, 630, 9391, 4785, 264, 5359, 602, 519, 12217, 616, 6410, 547, 519, 24807, 524, 1137, 585, 5144, 532, 267, 855, 519, 1964, 540, 519, 942, 2661, 538, 513, 21799, 1804, 2614, 547, 1796, 543, 2490, 1472, 563, 763, 2622, 5980, 585, 519, 10466, 540, 12292, 2366, 3173, 547, 476, 1556, 23925, 11396, 269, 1358, 4080, 7487, 12217, 4779, 22135, 267, 536, 4474, 741, 9843, 1996, 741, 524, 1137, 267, 543, 21400, 741, 1378, 533, 9155, 269, 634, 9019, 2557, 568, 1360, 1164, 269, 645, 850, 12217, 7985, 689, 513, 3099, 540, 2168, 2042, 799, 1331, 2530, 540, 4552, 267, 22926, 267, 25224, 539, 2208, 267, 4887, 2527, 2530, 267, 543, 1419, 723, 741, 4522, 543, 32356, 13939, 269, 1879, 519, 12217, 3247, 6721, 23925, 1310, 513, 1906, 1296, 267, 789, 616, 2356, 7166, 585, 741, 5779, 267, 9663, 267, 533, 9155, 543, 7086, 1025, 5417, 619, 269, 19594, 533, 9155, 616, 2808, 513, 29535, 2329, 267, 543, 723, 1044, 2938, 11720, 539, 693, 1269, 7742, 269, 13772, 713, 476, 866, 15902, 3381, 543, 596, 786, 917, 621, 782, 563, 5475, 7487, 519, 3381, 596, 4440, 1745, 899, 803, 1107, 1250, 2295, 568, 679, 571, 3022, 543, 24986, 269, 5994, 519, 4887, 693, 15577, 1310, 865, 1082, 1296, 267, 4952, 519, 2790, 3441, 269, 1548, 2186, 540, 513, 1480, 1223, 1118, 513, 8559, 538, 513, 7703, 779, 1560, 267, 4734, 519, 1930, 10138, 543, 1287, 1349, 519, 10433, 936, 543, 936, 1586, 1107, 689, 606, 3662, 602, 568, 24986, 609, 1928, 543, 9810, 269, 594, 8910, 2648, 547, 798, 519, 1482, 547, 1346, 1004, 543, 741, 11537, 3283, 1107, 543, 1034, 540, 782, 267, 547, 519, 3484, 5411, 269, 901, 568, 835, 540, 519, 521, 5417, 652, 1919, 538, 519, 1158, 269, 594, 18149, 333, 2757, 4457, 4915, 5473, 796, 19960, 514, 762, 5820, 5215, 540, 2831, 616, 7166, 585, 1107, 20259, 4050, 529, 267, 23925, 267, 28591, 665, 14058, 18057, 267, 14854, 726, 770, 1258, 267, 3092, 269, 594, 1031, 547, 960, 538, 3624, 543, 4718, 972, 1100, 23502, 585, 865, 1082, 2713, 7068, 269, 898, 779, 865, 7920, 594, 1031, 547, 3956, 1250, 4064, 856, 593, 865, 1082, 14026, 269, 0, 32743, 877, 632, 631, 2544, 454, 26607, 11888, 267, 5147, 476, 1240, 267, 476, 1001, 273, 454, 2467, 723, 1044, 1896, 3140, 15294, 619, 538, 3345, 21241, 602, 723, 9676, 519, 3007, 540, 519, 2923, 543, 519, 29059, 540, 519, 1004, 269, 2290, 540, 891, 568, 519, 16423, 1920, 12638, 2282, 25725, 8235, 538, 4989, 267, 476, 4572, 271, 563, 1103, 2038, 2904, 267, 8361, 23771, 21334, 539, 547, 11318, 519, 5722, 2818, 540, 519, 15243, 16423, 1920, 267, 2059, 609, 741, 25287, 7911, 269, 23771, 10645, 972, 1185, 1044, 7965, 1063, 5128, 543, 15243, 16423, 585, 930, 942, 267, 543, 602, 519, 13249, 957, 1185, 6565, 4364, 689, 606, 5945, 835, 540, 16423, 779, 5243, 1185, 2944, 547, 835, 540, 23771, 779, 16933, 563, 299, 9707, 779, 4693, 729, 2656, 282, 519, 645, 1143, 541, 1188, 17650, 2317, 4080, 281, 968, 4263, 1100, 942, 1282, 519, 5618, 4693, 610, 519, 7552, 547, 645, 1143, 541, 1188, 1705, 519, 1793, 9707, 2769, 519, 13581, 652, 6161, 936, 519, 5216, 7606, 646, 23689, 4010, 1614, 4374, 3516, 269, 9717, 1169, 4316, 547, 1689, 1010, 5418, 320, 610, 1065, 644, 5573, 1010, 1476, 11970, 267, 543, 19230, 676, 25960, 715, 340, 612, 548, 540, 519, 3978, 1145, 540, 519, 5279, 547, 799, 646, 21334, 539, 543, 2663, 5418, 611, 16944, 267, 23771, 588, 334, 1227, 15189, 519, 2533, 540, 513, 15818, 543, 1152, 4280, 2560, 685, 2280, 621, 581, 936, 609, 607, 3728, 607, 2009, 10200, 7536, 299, 9707, 729, 2016, 513, 1272, 4845, 267, 855, 711, 3025, 5156, 519, 2013, 547, 581, 2312, 24408, 269, 15907, 713, 4266, 538, 476, 4572, 271, 267, 23771, 779, 2828, 3576, 909, 513, 3956, 585, 1776, 6217, 267, 605, 8010, 532, 1864, 547, 581, 17608, 563, 4263, 519, 1482, 942, 267, 8496, 877, 632, 631, 2737, 267, 513, 853, 269, 6754, 804, 1515, 341, 1195, 656, 267, 8179, 519, 1269, 272, 267, 1822, 8007, 602, 1185, 1044, 6035, 676, 17135, 17793, 345, 1512, 585, 519, 7001, 540, 519, 16423, 1920, 15294, 19907, 269, 631, 2737, 10272, 3345, 21241, 538, 713, 1391, 267, 10483, 676, 717, 269, 654, 269, 3751, 267, 513, 853, 269, 6754, 19792, 945, 1185, 1044, 7722, 676, 519, 30374, 4937, 779, 5604, 547, 948, 1265, 519, 27521, 269, 1261, 1185, 8854, 547, 8496, 877, 632, 631, 2544, 585, 948, 593, 1896, 2665, 538, 853, 269, 6754, 267, 543, 1185, 31570, 1200, 1586, 3823, 519, 16423, 1920, 15294, 619, 269, 1306, 519, 1957, 4080, 267, 968, 763, 8496, 877, 267, 1210, 1200, 7060, 547, 1294, 519, 31305, 267, 4166, 1185, 513, 2790, 4605, 540, 519, 2898, 6760, 267, 799, 3769, 23771, 269, 3973, 3751, 4682, 1394, 547, 25725, 8235, 543, 646, 5795, 1344, 547, 519, 2199, 10492, 267, 945, 1500, 519, 10654, 543, 5833, 519, 1476, 11970, 267, 799, 23771, 1631, 568, 3843, 547, 1065, 644, 5573, 269, 4475, 267, 519, 8496, 877, 19262, 519, 8007, 267, 1352, 3081, 269, 1656, 1352, 568, 2469, 547, 1205, 621, 267, 952, 1352, 666, 3034, 9515, 849, 10645, 513, 1114, 2601, 585, 519, 12638, 267, 543, 602, 972, 729, 1776, 1268, 267, 855, 1352, 4769, 1406, 1118, 1454, 2212, 3118, 538, 11543, 519, 8007, 269, 589, 1906, 4374, 2663, 267, 621, 729, 4080, 602, 519, 17294, 779, 8007, 729, 2760, 6976, 563, 291, 18235, 11261, 1504, 2854, 676, 8861, 21701, 454, 763, 645, 1143, 541, 1188, 17650, 2317, 267, 5147, 476, 2641, 267, 476, 4572, 271, 267, 533, 272, 454, 763, 645, 1143, 541, 1188, 17650, 2317, 267, 5147, 476, 736, 267, 476, 4572, 271, 267, 533, 272, 454, 763, 645, 1143, 541, 1188, 17650, 2317, 267, 4864, 476, 275, 267, 476, 4572, 271, 267, 533, 277, 454, 763, 645, 1143, 541, 1188, 17650, 2317, 267, 2904, 476, 1724, 267, 476, 4572, 271, 267, 533, 272, 0, 704, 18727, 513, 4909, 543, 538, 525, 5115, 762, 8082, 1063, 519, 1079, 2959, 540, 1648, 538, 2229, 281, 922, 11156, 543, 519, 2470, 540, 2797, 812, 269, 898, 568, 513, 4655, 1063, 1148, 543, 2470, 799, 711, 1256, 513, 1455, 7029, 547, 513, 9139, 3964, 676, 519, 1004, 543, 27985, 796, 531, 614, 762, 676, 519, 2229, 666, 5150, 1996, 19374, 540, 519, 2474, 540, 519, 5449, 269, 2755, 2229, 8547, 593, 513, 11156, 1244, 5966, 3278, 15194, 1379, 1759, 593, 1018, 23885, 1572, 2123, 1915, 610, 519, 2597, 540, 1920, 267, 519, 3635, 540, 1379, 568, 16876, 547, 713, 3312, 6876, 1152, 609, 1390, 7411, 267, 952, 693, 782, 269, 7186, 814, 2016, 1169, 2229, 1648, 676, 23478, 1346, 945, 3635, 922, 7060, 519, 1079, 1390, 24500, 268, 3711, 819, 543, 1285, 541, 823, 19351, 747, 10038, 519, 2623, 540, 782, 1857, 4703, 538, 519, 6644, 540, 519, 3056, 13368, 619, 563, 763, 6574, 7411, 519, 13368, 619, 5185, 538, 11028, 4290, 532, 513, 1813, 1648, 538, 519, 10324, 609, 6617, 538, 519, 15424, 7936, 21256, 689, 519, 2418, 799, 789, 5156, 4122, 13251, 2043, 547, 4196, 538, 519, 1079, 8371, 267, 6606, 269, 634, 14130, 538, 1880, 729, 6743, 547, 676, 930, 13368, 619, 547, 4196, 607, 519, 21543, 540, 2829, 5443, 267, 543, 3028, 538, 2901, 7936, 729, 1152, 547, 6108, 942, 593, 519, 1259, 547, 519, 13527, 540, 674, 877, 267, 547, 946, 8176, 18237, 1188, 2284, 781, 6264, 559, 13228, 550, 1893, 269, 4634, 23885, 598, 1027, 539, 602, 20440, 5265, 11479, 9777, 2209, 4171, 2978, 832, 616, 818, 706, 748, 543, 10355, 30039, 609, 2901, 5763, 610, 21239, 865, 602, 789, 1590, 1413, 6038, 547, 519, 13287, 540, 519, 8545, 538, 519, 10324, 7936, 269, 11048, 267, 646, 29739, 602, 519, 15424, 7936, 1590, 4482, 16805, 543, 25432, 20005, 7606, 547, 922, 3028, 269, 901, 991, 711, 5976, 9227, 267, 972, 729, 1100, 8969, 538, 1010, 2247, 602, 519, 2474, 540, 513, 2854, 11156, 3112, 10018, 602, 519, 2818, 540, 1022, 540, 519, 8371, 786, 581, 9141, 676, 20440, 547, 2226, 741, 18005, 782, 6838, 8843, 540, 1379, 610, 581, 1964, 11712, 676, 13348, 5328, 24500, 547, 1965, 3832, 342, 19374, 540, 2854, 18715, 540, 1367, 2924, 269, 1306, 1279, 607, 2229, 568, 519, 6574, 540, 782, 18759, 593, 1480, 2470, 267, 972, 786, 581, 606, 538, 525, 5115, 762, 8082, 1063, 519, 13338, 543, 2067, 2959, 540, 1648, 538, 2229, 269, 11086, 267, 23885, 11943, 267, 1152, 519, 12477, 540, 25432, 20541, 17710, 547, 606, 10332, 1528, 28672, 666, 2226, 519, 4998, 540, 13338, 2229, 538, 2259, 269, 15638, 941, 4166, 547, 6961, 875, 17866, 6071, 533, 1105, 618, 568, 607, 513, 11064, 547, 519, 3635, 540, 1379, 538, 519, 1655, 540, 6381, 543, 267, 2523, 952, 713, 4182, 568, 5185, 609, 2901, 519, 4641, 610, 519, 6937, 540, 2112, 563, 5226, 652, 807, 267, 513, 851, 540, 717, 1446, 267, 595, 1263, 720, 4804, 269, 8940, 269, 26810, 807, 2593, 454, 26397, 1344, 281, 3883, 2140, 281, 6276, 23885, 593, 519, 9139, 543, 519, 9291, 540, 7126, 269, 19928, 12781, 281, 7917, 808, 269, 21546, 910, 8191, 269, 21629, 281, 5682, 6229, 4964, 269, 9255, 540, 8313, 281, 1715, 3840, 269, 22910, 1032, 281, 476, 2735, 279, 269, 8525, 1297, 281, 476, 8064, 563, 1607, 1570, 568, 6870, 676, 10677, 543, 267, 609, 519, 9868, 540, 4023, 946, 267, 949, 711, 581, 2417, 23652, 267, 7856, 610, 10299, 538, 1022, 1106, 610, 676, 1022, 1797, 269, 0, 5723, 22552, 16898, 281, 18708, 339, 2763, 1710, 1652, 11188, 17763, 2478, 941, 23500, 676, 1210, 21800, 3308, 543, 1035, 24065, 673, 2409, 689, 476, 277, 5437, 547, 476, 1724, 5412, 476, 1220, 277, 269, 5565, 1382, 8043, 6287, 539, 8305, 334, 17974, 1239, 2845, 7970, 267, 799, 941, 1031, 547, 4558, 519, 8515, 543, 3280, 2707, 4287, 540, 519, 1164, 4908, 5067, 541, 6786, 3812, 676, 1710, 1652, 11188, 17763, 2478, 693, 7020, 9832, 909, 547, 476, 4968, 544, 593, 1142, 2427, 540, 519, 6077, 269, 11822, 8305, 334, 11237, 8108, 4847, 519, 9668, 540, 3982, 19777, 517, 541, 3280, 2707, 267, 799, 13087, 721, 547, 1293, 519, 1297, 540, 13047, 1944, 11188, 17763, 2478, 269, 3600, 24065, 1227, 267, 476, 14225, 11188, 17763, 2478, 941, 9571, 689, 835, 6077, 543, 476, 1960, 689, 519, 824, 6077, 538, 519, 1482, 3296, 540, 519, 18708, 339, 2763, 5211, 269, 6250, 1302, 267, 476, 14321, 543, 476, 14341, 11188, 17763, 2478, 941, 9571, 689, 1079, 8043, 1369, 476, 4968, 544, 540, 519, 6077, 3950, 269, 634, 7229, 7020, 5506, 1210, 17974, 1505, 729, 5111, 7466, 602, 585, 3308, 7020, 585, 1142, 6077, 269, 634, 3017, 538, 7020, 17831, 1063, 519, 1079, 2409, 729, 3361, 676, 519, 1804, 1297, 540, 2582, 2043, 602, 941, 14406, 676, 3308, 24319, 269, 1717, 267, 519, 7306, 540, 1804, 2516, 941, 19765, 13846, 676, 1210, 519, 17974, 2409, 269, 3600, 15064, 543, 3308, 7422, 1264, 7757, 1142, 824, 538, 519, 4977, 7020, 540, 11188, 17763, 2478, 269, 634, 946, 540, 2241, 267, 5266, 20522, 17974, 5464, 1949, 1058, 3986, 2551, 12220, 540, 1863, 8573, 4474, 267, 552, 3273, 20814, 5212, 2632, 665, 26347, 563, 763, 4750, 540, 519, 3600, 24065, 673, 5980, 540, 3013, 476, 5881, 270, 1220, 279, 282, 476, 11277, 263, 277, 2567, 24496, 274, 268, 1556, 269, 5788, 476, 272, 269, 4649, 8177, 16748, 0, 4415, 1492, 2479, 2810, 3747, 540, 3039, 1648, 267, 31132, 543, 3744, 732, 2324, 593, 2081, 602, 666, 676, 1100, 1797, 581, 17941, 6671, 269, 22319, 8722, 514, 543, 3798, 8585, 761, 339, 616, 1079, 971, 31132, 945, 1616, 519, 11995, 14683, 1811, 267, 799, 649, 946, 3232, 547, 862, 1393, 547, 938, 4025, 540, 960, 267, 581, 935, 30062, 883, 7791, 1648, 18402, 267, 799, 1223, 835, 1554, 1379 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2042, 267, 799, 4667, 547, 581, 519, 1034, 2352, 1858, 540, 1382, 538, 713, 9015, 563, 268, 918, 19561, 384, 483, 385, 376, 7288, 267, 887, 345, 323, 345, 807, 22119, 344, 0, 296, 1767, 948, 596, 609, 713, 3830, 269, 594, 6415, 20994, 602, 3830, 593, 1655, 1899, 540, 3514, 269, 594, 1589, 519, 1101, 851, 568, 21501, 621, 269, 1656, 607, 596, 666, 1294, 519, 1239, 568, 7396, 19804, 547, 519, 2427, 1934, 269, 1656, 519, 1239, 13602, 616, 519, 1239, 568, 28367, 1934, 2907, 585, 596, 563, 3383, 594, 3494, 1631, 596, 1175, 991, 547, 1205, 513, 1434, 7447, 540, 19804, 1141, 519, 1141, 707, 1899, 267, 952, 621, 568, 2469, 547, 581, 621, 814, 547, 581, 2111, 547, 3444, 998, 782, 540, 891, 2798, 269, 1924, 952, 596, 1589, 621, 781, 1934, 610, 5310, 596, 917, 2147, 2147, 547, 1934, 19804, 594, 3494, 621, 781, 2731, 593, 707, 10385, 855, 1934, 781, 1141, 594, 2322, 519, 1899, 865, 602, 781, 1141, 594, 2322, 621, 1318, 972, 269, 9877, 540, 590, 13446, 594, 1185, 547, 12575, 519, 3381, 269, 772, 332, 1924, 602, 781, 1250, 1899, 540, 3514, 269, 1924, 1631, 649, 6192, 602, 563, 3383, 594, 3494, 952, 594, 6415, 2953, 267, 707, 4116, 568, 8380, 621, 1759, 593, 10385, 4466, 513, 1899, 540, 3514, 585, 519, 1239, 269, 1924, 1631, 596, 1616, 547, 946, 513, 24275, 9498, 1932, 269, 1924, 713, 568, 1318, 269, 590, 13446, 596, 1616, 547, 946, 9493, 1695, 9498, 547, 1265, 519, 3830, 585, 602, 1272, 269, 1924, 585, 9553, 1934, 543, 1577, 803, 1294, 952, 594, 666, 24139, 2721, 563, 8133, 269, 28514, 269, 1924, 1018, 596, 1616, 547, 798, 568, 1265, 1079, 2798, 593, 519, 3113, 519, 12969, 269, 1924, 1577, 781, 2161, 1318, 1934, 543, 1318, 1934, 621, 781, 952, 596, 616, 5432, 609, 519, 9386, 19804, 18448, 1106, 649, 1246, 1946, 11224, 544, 343, 7132, 645, 269, 1411, 2328, 602, 1524, 585, 596, 543, 1946, 568, 519, 1482, 585, 1169, 3830, 563, 3383, 586, 11224, 649, 2141, 4734, 621, 693, 602, 269, 645, 568, 519, 1946, 18448, 1175, 2469, 547, 2322, 602, 568, 1946, 10759, 543, 631, 568, 938, 9386, 269, 1924, 649, 1616, 547, 1413, 693, 891, 1079, 607, 596, 666, 1294, 649, 4473, 909, 1079, 4559, 269, 1924, 602, 781, 875, 1082, 649, 4473, 269, 594, 6415, 20994, 563, 6546, 729, 2731, 2808, 803, 269, 594, 991, 547, 2328, 585, 9386, 269, 1284, 1246, 4473, 936, 2196, 267, 602, 781, 2469, 547, 2995, 721, 875, 1082, 3764, 649, 4473, 909, 267, 875, 1082, 4559, 649, 4473, 547, 1776, 547, 1205, 547, 519, 824, 1448, 269, 1924, 649, 723, 713, 835, 547, 1205, 547, 713, 1448, 269, 1284, 9782, 1079, 4559, 543, 649, 4682, 2066, 835, 1770, 563, 3383, 602, 851, 568, 519, 2196, 269, 1924, 2196, 568, 2066, 269, 1924, 594, 3513, 1397, 596, 543, 14380, 2469, 909, 543, 1524, 269, 23010, 269, 1924, 607, 596, 666, 1294, 649, 9782, 547, 649, 10443, 835, 563, 3383, 602, 1131, 581, 1079, 1280, 519, 1964, 1079, 4559, 543, 936, 835, 1656, 602, 29776, 547, 1079, 269, 1809, 1317, 602, 713, 568, 513, 18746, 19527, 602, 4682, 899, 713, 267, 621, 781, 27613, 581, 513, 2942, 1932, 1317, 621, 568, 513, 2942, 9386, 269, 1403, 621, 729, 2469, 20733, 899, 713, 1259, 621, 1131, 581, 1932, 269, 1809, 538, 713, 2013, 568, 2469, 1524, 2072, 1946, 286, 898, 781, 513, 2942, 1297, 267, 595, 7837, 10577, 269, 3767, 649, 723, 1079, 1535, 594, 6415, 20994, 267, 910, 273, 2473, 563, 27078, 894, 1079, 2473, 269, 1656, 1631, 649, 991, 547, 1265, 519, 962, 18448, 799, 568, 1141, 519, 1899, 22613, 519, 962, 7852, 267, 6904, 538, 713, 2013, 568, 476, 736, 267, 1924, 621, 1131, 581, 586, 11224, 2942, 1079, 1535, 7132, 476, 736, 269, 1924, 602, 594, 3494, 568, 707, 2626, 2185, 1297, 610, 20994, 585, 4484, 645, 269, 1656, 1287, 621, 3081, 2422, 1142, 2203, 547, 3589, 519, 1871, 540, 519, 18914, 1310, 5216, 1296, 269, 1924, 3168, 693, 602, 267, 2285, 803, 513, 4090, 563, 3383, 20994, 30610, 1631, 596, 1616, 547, 1577, 803, 1175, 18419, 782, 602, 11991, 8631, 1934, 269, 28514, 594, 6415, 711, 6998, 946, 621, 1142, 13304, 547, 3589, 519, 1871, 540, 519, 18914, 1310, 5216, 1296, 269, 772, 332, 594, 993, 711, 2386, 875, 547, 4194, 621, 269, 4635, 713, 2203, 269, 594, 666, 2995, 596, 1210, 713, 3113, 1934, 563, 308, 332, 649, 723, 713, 568, 519, 2473, 269, 31196, 568, 10203, 538, 11996, 540, 2947, 269, 1924, 952, 649, 1293, 476, 2537, 476, 27174, 4281, 269, 1284, 666, 1413, 1934, 602, 19804, 538, 5216, 267, 590, 13446, 538, 5216, 1296, 519, 1871, 540, 519, 18914, 568, 4502, 2185, 594, 3494, 269, 1924, 621, 781, 2469, 1524, 538, 1871, 563, 3383, 594, 6415, 1175, 2469, 547, 2322, 585, 513, 595, 269, 594, 6415, 711, 2386, 1018, 19804, 4559, 789, 2811, 3168, 693, 269, 594, 6415, 1175, 27613, 2322, 2185, 4559, 269, 594, 6415, 711, 2386, 269, 1269, 275, 269, 6860, 563, 2791, 666, 12990, 602, 2663, 593, 269, 1809, 9493, 1695, 602, 781, 875, 594, 1131, 1265, 621, 269, 4635, 519, 3113, 269, 594, 6415, 20994, 952, 713, 4769, 1405, 948, 269, 772, 332, 11289, 596, 865, 1454, 585, 11488, 1022, 2243, 1498, 563, 308, 332, 952, 596, 723, 1022, 10539, 5225, 1577, 803, 917, 543, 594, 4126, 596, 723, 513, 1390, 1964, 540, 707, 1554, 269, 11289, 596, 269, 0, 268, 589, 5124, 3763, 518, 4749, 3523, 919, 609, 1239, 4015, 543, 12642, 547, 1683, 3407, 4267, 543, 5813, 563, 268, 5124, 568, 1031, 538, 1357, 1646, 267, 3684, 1565, 267, 5841, 4987, 267, 3621, 7384, 267, 543, 4081, 1382, 563, 268, 4595, 519, 1871, 540, 2029, 5610, 2799, 513, 1906, 1296, 3516, 267, 519, 2990, 540, 513, 5124, 17354, 538, 606, 3919, 568, 3592, 796, 28300, 762, 563, 268, 5124, 779, 2702, 547, 960, 609, 1239, 12957, 543, 6620, 2306, 621, 606, 5140, 3684, 1565, 5752, 1893, 563, 268, 634, 5752, 3760, 3533, 9060, 1239, 3270, 267, 3466, 267, 543, 3406, 26389, 593, 519, 4950, 543, 12958, 513, 2312, 1344, 1867, 563, 5649, 519, 2347, 2376, 693, 281, 18651, 1399, 2593 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 4611, 1560, 563, 1892, 1849, 1442, 6128, 454, 2252, 621, 568, 1631, 476, 278, 281, 4343, 10681, 267, 1018, 942, 786, 621, 581, 538, 476, 1789, 267, 30033, 267, 4200, 277, 267, 21878, 3764, 689, 1631, 888, 1892, 6828, 540, 1453, 454, 2467, 568, 513, 1895, 540, 1453, 269, 1703, 568, 513, 7911, 3957, 14088, 538, 1142, 540, 519, 1614, 1453, 32299, 543, 513, 8004, 3957, 2142, 1092, 538, 1142, 14415, 564, 630, 27917, 2173, 1897, 32299, 1040, 1215, 1082, 1453, 666, 581, 538, 971, 513, 1895, 543, 1018, 616, 741, 4408, 538, 602, 2013, 888, 1892, 28116, 11149, 454, 3725, 2897, 519, 1079, 13306, 11057, 11149, 609, 476, 271, 269, 279, 546, 332, 543, 476, 271, 269, 277, 546, 332, 8728, 609, 513, 2582, 13306, 11057, 835, 865, 602, 621, 814, 519, 1482, 4320, 607, 519, 1079, 3312, 3283, 1927, 269, 1548, 568, 519, 3259, 540, 519, 6316, 540, 713, 13306, 888, 1892, 634, 2837, 476, 1015, 454, 763, 2837, 538, 513, 29606, 568, 910, 1428, 9180, 543, 621, 4679, 676, 476, 274, 9180, 563, 1892, 634, 13306, 454, 763, 13306, 814, 513, 2627, 540, 476, 7785, 4699, 273, 267, 1018, 568, 922, 4320, 888, 1892, 22588, 540, 606, 5662, 454, 2252, 519, 9219, 4951, 513, 10116, 540, 606, 5662, 811, 267, 621, 1131, 581, 476, 1015, 3764, 547, 476, 1015, 3108, 269, 1215, 1082, 3108, 798, 789, 1397, 888, 1892, 1323, 20987, 454, 2304, 20987, 13733, 476, 13893, 271, 5998, 538, 476, 273, 476, 272, 270, 275, 3108, 269, 1548, 568, 922, 3328, 3432, 538, 5998, 829, 5662, 888, 1892, 11730, 829, 942, 454, 1692, 1279, 1281, 6445, 1491, 585, 513, 6802, 609, 513, 4320, 2095, 540, 476, 1220, 561, 829, 8792, 6445, 513, 13306, 11057, 7382, 909, 547, 476, 4037, 260, 540, 922, 4463, 952, 519, 3259, 540, 519, 13306, 6316, 568, 476, 275, 544, 888, 1892, 19933, 679, 5145, 956, 454, 275, 7544, 679, 5145, 956, 941, 15472, 693, 519, 13037, 269, 7183, 1185, 1447, 982, 476, 1015, 543, 811, 982, 476, 736, 2818, 269, 2353, 25249, 689, 930, 540, 519, 1079, 679, 5145, 956, 941, 6719, 538, 1142, 7544, 269, 3689, 267, 476, 4029, 5171, 941, 593, 519, 3942, 267, 1287, 476, 3953, 267, 476, 4097, 267, 476, 3374, 267, 476, 4391, 267, 543, 476, 4343, 269, 1215, 1082, 546, 4545, 454, 1892, 16265, 24219, 5036, 454, 2690, 1079, 5036, 918, 267, 700, 568, 3020, 281, 918, 814, 476, 1789, 2609, 267, 700, 814, 476, 2767, 2609, 543, 519, 1305, 700, 910, 918, 814, 476, 2420, 2609, 269, 1215, 1082, 2609, 1281, 519, 1305, 918, 910, 700, 723, 286, 0, 2791, 616, 593, 2985, 476, 272, 1993, 476, 273, 692, 258, 2859, 27155, 6657, 692, 1012, 14419, 2436, 1142, 23481, 568, 513, 3815, 540, 1535, 274, 1341, 476, 274, 343, 273, 12865, 511, 476, 1015, 343, 12865, 511, 476, 2190, 780, 272, 269, 1535, 1341, 476, 275, 476, 273, 269, 1535, 12865, 511, 476, 274, 476, 274, 269, 1535, 1341, 476, 277, 476, 275, 269, 1535, 1341, 476, 273, 692, 1012, 476, 277, 269, 630, 273, 343, 275, 1341, 476, 2537, 343, 274, 1341, 476, 2568, 343, 273, 12865, 511, 476, 10219, 343, 12865, 511, 476, 4335, 264, 21680, 630, 343, 1341, 476, 275, 2020, 272, 454, 278, 269, 630, 274, 343, 274, 12865, 511, 476, 273, 1535, 476, 273, 31609, 476, 273, 1535, 31609, 476, 272, 264, 25104, 372, 630, 1535, 31609, 12467, 274, 692, 8196, 10991, 6498, 543, 519, 2016, 3815, 547, 4625, 3815, 1142, 9971, 454, 10818, 563, 279, 269, 586, 815, 1535, 274, 1341, 476, 274, 343, 273, 12865, 511, 476, 1724, 343, 12865, 511, 476, 1428, 282, 630, 343, 1341, 476, 276, 264, 476, 280, 269, 586, 815, 1535, 274, 12865, 511, 476, 274, 343, 273, 12865, 511, 476, 1015, 343, 1341, 476, 2190, 282, 630, 343, 12865, 511, 476, 273, 2020, 1012, 476, 1015, 269, 586, 815, 1535, 274, 1341, 1535, 273, 12865, 511, 476, 1015, 343, 1341, 476, 279, 282, 630, 343, 12865, 511, 476, 272, 264, 476, 1556, 269, 586, 815, 1535, 274, 1341, 476, 275, 343, 273, 12865, 511, 476, 280, 343, 12865, 511, 476, 3607, 282, 630, 343, 1341, 476, 274, 2020, 1321, 269, 634, 4082, 966, 3287, 264, 815, 1535, 274, 12865, 511, 476, 1724, 343, 1341, 476, 1321, 4564, 519, 4320, 540, 513, 14328, 2922, 454, 514, 12945, 3952, 269, 634, 3259, 540, 519, 2922, 568, 1535, 1341, 476, 275, 269, 1548, 5276, 7215, 609, 8870, 454, 1723, 324, 13266, 1223, 2099, 519, 824, 7516, 540, 519, 2922, 286, 27539, 602, 519, 454, 19417, 568, 3152, 982, 519, 8700, 780, 1724, 269, 634, 4320, 538, 12945, 6279, 540, 513, 4216, 666, 581, 6829, 607, 519, 1587, 540, 922, 1614, 454, 323, 574, 5014, 281, 966, 3287, 264, 815, 1535, 274, 12865, 511, 476, 1626, 343, 273, 1341, 476, 8064, 343, 12865, 511, 476, 6344, 269, 634, 3259, 568, 1535, 12865, 511, 476, 279, 269, 4855, 5276, 454, 10339, 11306, 609, 8870, 14170, 585, 519, 824, 7516, 269, 27539, 602, 519, 8700, 454, 529, 3152, 982, 519, 4463, 780, 1691, 269, 634, 4082, 1535, 274, 1341, 476, 1626, 343, 273, 1341, 476, 6924, 343, 1341, 476, 3199, 4564, 519, 4320, 540, 513, 8768, 4216, 454, 514, 12945, 6279, 269, 634, 4082, 1535, 1341, 476, 275, 4564, 519, 3178, 540, 519, 4216, 563, 10112, 2541, 602, 519, 3259, 568, 3152, 982, 519, 4463, 543, 602, 5276, 7215, 454, 5976, 8870, 14170, 2099, 1312, 563, 320, 269, 1548, 616, 519, 824, 7516, 540, 519, 8768, 4216, 888, 321, 269, 1403, 1535, 815, 476, 274, 267, 1018, 616, 519, 7516, 540, 519, 8768, 4216, 286, 0, 10112, 9892, 318, 275, 1151, 692, 258, 12143, 318, 275, 1151, 910, 630, 320, 11192, 5295, 623, 18150, 6991, 585, 28740, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 10112, 9892, 476, 275, 10298, 476, 272, 269, 1627, 284, 279, 269, 271, 9943, 1015, 476, 274, 544, 476, 274, 1315, 323, 267, 717, 284, 1911, 271, 590, 910, 272, 570, 284, 476, 1428, 2073, 4009, 16935, 609, 513, 3178, 3160, 547, 476, 272, 269, 1839, 2053, 8700, 267, 512, 546, 815, 1789, 521, 512, 546, 815, 966, 270, 304, 966, 815, 1627, 339, 546, 815, 630, 279, 269, 271, 9943, 1015, 476, 274, 544, 476, 274, 1315, 323, 7565, 1789, 521, 7565, 272, 323, 270, 279, 5038, 876, 521, 264, 815, 476, 273, 269, 4281, 544, 476, 274, 700, 815, 530, 267, 667, 815, 272, 269, 1839, 342, 966, 815, 700, 342, 291, 815, 530, 476, 274, 630, 272, 269, 1839, 264, 815, 476, 273, 269, 4281, 544, 476, 274, 530, 815, 476, 274, 476, 274, 630, 273, 269, 4281, 332, 3738, 270, 272, 269, 1839, 476, 272, 269, 4029, 815, 544, 700, 815, 530, 815, 476, 272, 269, 4029, 544, 267, 667, 815, 476, 272, 269, 1839, 630, 272, 269, 4029, 544, 264, 815, 476, 272, 269, 5038, 544, 717, 815, 476, 272, 270, 476, 273, 623, 966, 13179, 2073, 623, 815, 13179, 309, 294, 476, 273, 2311, 476, 1428, 2433, 13179, 815, 476, 272, 269, 16928, 6398, 476, 1015, 910, 274, 715, 1606, 8276, 476, 273, 630, 11899, 8276, 1606, 1070, 6543, 479, 815, 476, 15886, 269, 272, 4846, 8276, 476, 274, 623, 284, 630, 272, 269, 16928, 6398, 476, 1015, 910, 274, 4846, 8276, 1606, 7565, 273, 269, 4281, 544, 476, 274, 3738, 263, 1911, 271, 521, 910, 272, 3738, 476, 273, 815, 476, 25628, 277, 4846, 2173, 476, 273, 1315, 338, 476, 274, 815, 476, 25628, 277, 808, 4882, 815, 25628, 277, 654, 6764, 11839, 8006, 267, 546, 815, 476, 271, 269, 2004, 342, 815, 630, 271, 269, 2004, 7565, 272, 269, 4029, 544, 264, 815, 476, 271, 269, 5780, 544, 476, 273, 269, 589, 1166, 665, 1529, 1807, 31784, 540, 519, 1374, 543, 7516, 3254, 2630, 568, 29352, 998, 1216, 693, 476, 736, 522, 595, 609, 606, 16070, 3432, 540, 476, 275, 269, 271, 678, 26553, 269, 630, 320, 264, 1215, 1454, 1379, 568, 26632, 730, 883, 519, 1216, 286, 630, 321, 264, 1403, 519, 7382, 538, 799, 713, 31784, 568, 15914, 814, 519, 7516, 540, 476, 275, 6398, 476, 275, 6398, 476, 275, 544, 543, 519, 2095, 998, 519, 7382, 568, 476, 4335, 271, 544, 476, 274, 1315, 323, 267, 3313, 519, 717, 339, 1871, 585, 519, 1166, 665, 1529, 1807, 780, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 4462, 8971, 1540, 1257, 12744, 281, 630, 320, 264, 11192, 5295, 623, 18150, 6991, 585, 28740, 4604, 815, 1535, 476, 273, 1535, 476, 275, 1535, 476, 272, 270, 2568, 815, 476, 271, 269, 275, 866, 544, 4882, 623, 18150, 6991, 585, 9018, 4604, 815, 1535, 476, 274, 1535, 476, 275, 1535, 476, 272, 270, 2568, 815, 476, 271, 269, 277, 2764, 544, 4882, 5295, 585, 1142, 31784, 623, 18150, 9133, 3432, 630, 309, 533, 3738, 815, 476, 271, 269, 4037, 1535, 31784, 6991, 3213, 18026, 540, 8749, 630, 290, 323, 264, 815, 476, 272, 269, 279, 585, 6366, 16405, 25670, 540, 1216, 630, 3738, 815, 476, 4200, 279, 269, 273, 4846, 8276, 476, 274, 966, 4593, 13920, 267, 815, 476, 272, 269, 16573, 1535, 1015, 268, 274, 715, 4732, 8276, 476, 273, 623, 815, 630, 290, 546, 589, 533, 966, 533, 476, 274, 3738, 270, 273, 5295, 267, 623, 272, 585, 6418, 4604, 815, 1496, 272, 269, 279, 1535, 630, 271, 269, 272, 1535, 274, 1535, 476, 275, 264, 1535, 476, 4200, 279, 269, 273, 1535, 630, 271, 269, 4037, 1535, 476, 271, 269, 275, 866, 264, 476, 274, 9948, 270, 273, 815, 476, 3451, 269, 5379, 26910, 5295, 267, 623, 273, 585, 6418, 4604, 815, 1496, 272, 269, 279, 1535, 630, 271, 269, 272, 1535, 274, 1535, 476, 275, 264, 1535, 476, 4200, 279, 269, 273, 1535, 630, 271, 269, 4037, 1535, 476, 271, 269, 277, 2764, 264, 476, 274, 9948, 270, 273, 815, 476, 12208, 269, 5038, 26910, 11192, 1379, 623, 815, 623, 272, 1341, 623, 273, 815, 476, 3451, 269, 5379, 1341, 476, 12208, 269, 5038, 815, 476, 16409, 269, 272, 26910, 630, 321, 264, 717, 339, 4825, 1549, 5384, 267, 512, 815, 966, 270, 304, 815, 476, 275, 343, 275, 343, 275, 270, 4335, 271, 815, 476, 271, 269, 23713, 279, 2395, 815, 476, 8099, 277, 3813, 717, 815, 1496, 303, 14370, 309, 343, 3738, 316, 476, 272, 270, 273, 815, 1496, 16409, 269, 272, 14370, 275, 343, 275, 343, 275, 343, 272, 269, 16573, 343, 1015, 268, 274, 3738, 316, 476, 272, 270, 273, 815, 476, 5325, 269, 4037, 521, 268, 272, 4475, 267, 717, 339, 815, 476, 8099, 277, 1535, 476, 5325, 269, 4037, 815, 476, 276, 2764, 1556, 269, 276, 2483, 8698, 9509, 11657, 692, 346, 314, 15165, 21574, 300, 20687, 9948, 10926, 2162, 1548, 1053, 616, 6031, 692, 1892, 1306, 513, 1699, 2875, 593, 713, 536, 17056, 1908, 326, 5573, 13374, 267, 594, 16686, 2390, 6092, 15552, 267, 1141, 594, 666, 1265, 1353, 2200, 585, 5176, 782, 1250, 6030, 267, 1205, 2228, 948, 689, 21493, 476, 2190, 270, 278, 267, 543, 1256, 2671, 1250, 2025, 3785, 267, 4574, 267, 543, 11000, 4967, 609, 824, 1053, 780, 298, 597, 534, 13527, 2160, 16737, 3427, 540, 6355, 2048, 1704, 267, 6092, 15552, 2902, 692, 1892, 594, 3112, 1256, 4766, 875, 1454, 6092, 15552, 5280, 803, 713, 4832, 269, 898, 779, 5963, 1831, 1945, 594, 666, 2141, 7048, 593, 543, 948, 803, 269, 769, 519, 1439, 267, 594, 729, 711, 1152, 2111, 547, 7639, 4832, 5049, 267, 855, 594, 729, 2111, 547, 8853, 7064, 547, 6092, 15552, 780, 291, 3570, 2160, 540, 12425, 2048, 1704, 267, 6092, 15552, 2902, 692, 1892, 634, 2702, 547, 1569, 1022, 6280, 779, 2200, 998, 6092, 15552, 9863, 17170, 538, 1250, 2013, 269, 594, 729, 3297, 593, 570, 592, 2033, 17440, 543, 2965, 1031, 17459, 6369, 779, 2326, 547, 948, 803, 1847, 4464, 543, 1205, 3388, 1927, 593, 942, 780, 297, 650, 570, 592, 2033, 2160, 2048, 1626, 267, 6092, 15552, 2902, 0, 258, 26344, 5852, 948, 10371, 1862, 2496, 272, 269, 1403, 16009, 589, 815, 562, 16009, 645, 2073, 5609, 589, 815 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1012, 8617, 1436, 19336, 543, 966, 528, 517, 16211, 25373, 692, 1103, 713, 1770, 267, 649, 786, 2263, 513, 4241, 1523, 538, 2780, 5075, 543, 3239, 4393, 1572, 513, 2878, 10585, 1436, 5119, 1262, 269, 901, 5119, 568, 1031, 547, 5347, 856, 606, 3239, 610, 513, 1305, 540, 1239, 676, 4227, 519, 3604, 1063, 15231, 2609, 269, 1677, 1174, 875, 513, 2834, 1436, 5119, 1568, 267, 649, 1101, 991, 547, 1865, 519, 1523, 540, 513, 2878, 309, 528, 517, 16211, 7470, 1262, 780, 2162, 966, 528, 517, 16211, 25373, 692, 288, 966, 528, 517, 16211, 7470, 568, 513, 1259, 540, 12270, 513, 2230, 883, 4525, 1759, 593, 519, 3845, 547, 1808, 2798, 267, 1634, 607, 2878, 338, 2572, 1262, 269, 3962, 3148, 267, 1572, 513, 2878, 309, 528, 517, 16211, 1591, 1262, 267, 3568, 782, 519, 2798, 6251, 547, 922, 3135, 982, 547, 1022, 824, 3135, 269, 966, 528, 517, 16211, 21870, 616, 1031, 538, 1585, 4610, 267, 1519, 2780, 12449, 267, 4683, 4058, 267, 543, 1256, 7350, 780, 1103, 938, 2796, 267, 649, 786, 946, 513, 966, 528, 517, 16211, 7470, 547, 7941, 606, 3239, 883, 19641, 543, 3313, 519, 15231, 19641, 585, 1142, 18920, 269, 901, 786, 948, 721, 1711, 513, 2834, 1436, 5119, 547, 5347, 856, 519, 3239, 780, 2162, 8617, 1436, 19336, 692, 288, 2834, 1436, 5119, 568, 513, 4009, 5119, 1031, 547, 2834, 1125, 267, 610, 5347, 267, 513, 1305, 540, 1239, 269, 769, 938, 2013, 267, 649, 786, 946, 621, 547, 5347, 856, 606, 3239, 676, 4227, 519, 3604, 1063, 15231, 19641, 780, 2414, 1711, 513, 2834, 1436, 5119, 267, 649, 1101, 991, 547, 5173, 519, 2878, 10585, 1436, 12035, 1262, 585, 1142, 18920, 269, 1452, 12035, 3313, 875, 1454, 3310, 1142, 18920, 814, 593, 922, 12543, 269, 769, 713, 1383, 267, 649, 786, 4009, 519, 2834, 1436, 12035, 267, 607, 713, 568, 513, 1455, 2259, 538, 3239, 4393, 780, 3086, 267, 1577, 781, 1413, 693, 519, 5124, 3009, 547, 1711, 513, 2834, 1436, 5119, 269, 1284, 786, 946, 519, 17877, 5399, 267, 799, 2488, 1489, 585, 14249, 543, 14290, 538, 5124, 269, 1403, 596, 10093, 1405, 8704, 17877, 2943, 267, 596, 666, 798, 865, 676, 4881, 2387, 256, 26921, 3888, 11885, 319, 538, 513, 808, 1575, 344, 614, 21641, 610, 2387, 26921, 3888, 11885, 319, 538, 707, 12363, 780, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 3698, 1711, 318, 10585, 1436, 24624, 263, 10585, 1436, 318, 30135, 267, 18920, 318, 31371, 26092, 267, 18920, 318, 31371, 26092, 15481, 2187, 825, 8173, 825, 901, 1599, 5932, 513, 2834, 1436, 5119, 1759, 593, 519, 2016, 2834, 1436, 12035, 2676, 825, 18920, 12543, 267, 543, 18920, 12543, 2450, 780, 825, 30352, 912, 825, 2834, 1436, 318, 30135, 2433, 26998, 6783, 454, 1038, 1323, 5044, 540, 3259, 630, 20135, 7272, 1460, 1564, 264, 799, 2488, 519, 2834, 1436, 2597, 585, 1169, 18920, 538, 519, 966, 528, 517, 16211, 7470, 563, 825, 18920, 318, 31371, 26092, 2433, 26998, 6783, 454, 1038, 589, 476, 273, 291, 5044, 540, 3337, 630, 20135, 7272, 1460, 1564, 267, 3193, 318, 31371, 26092, 264, 799, 2488, 519, 4994, 540, 782, 12543, 540, 1169, 18920, 538, 454, 1038, 519, 966, 528, 517, 16211, 7470, 630, 550, 1845, 540, 910, 272, 5330, 547, 1100, 7023, 1916, 825, 18920, 318, 31371, 26092, 15481, 2433, 26998, 6783, 454, 1038, 1323, 5044, 540, 3259, 630, 20135, 7272, 1460, 1564, 264, 799, 3947, 519, 1297, 540, 12543, 540, 1169, 18920, 538, 519, 966, 528, 517, 16211, 7470, 563, 825, 29185, 825, 19641, 815, 7003, 263, 10585, 1436, 318, 30135, 2020, 825, 2834, 1436, 24624, 815, 5286, 25910, 263, 27729, 14352, 335, 1460, 1564, 267, 19641, 11723, 825, 2834, 1436, 318, 7076, 815, 2834, 1436, 318, 30135, 2878, 476, 273, 269, 271, 692, 825, 585, 1775, 538, 2039, 9638, 1460, 1564, 2187, 1038, 585, 795, 538, 2039, 9638, 31242, 318, 31371, 26092, 15481, 5157, 316, 2187, 2018, 7023, 16229, 815, 18920, 318, 31371, 26092, 5157, 267, 795, 2639, 2018, 2834, 1436, 24624, 5157, 267, 1775, 316, 6834, 2834, 1436, 318, 7076, 314, 31371, 4011, 16229, 2639, 2018, 2834, 1436, 24624, 314, 31371, 4011, 16229, 267, 7023, 16229, 316, 6834, 2834, 1436, 318, 7076, 314, 31371, 4011, 16229, 2639, 2018, 2834, 1436, 24624, 5157, 267, 7023, 16229, 316, 20699, 2834, 1436, 318, 7076, 314, 31371, 4011, 16229, 2639, 2018, 2834, 1436, 24624, 314, 31371, 4011, 16229, 267, 1775, 316, 20699, 2834, 1436, 318, 7076, 314, 31371, 4011, 16229, 6540, 825, 2132, 2834, 1436, 24624, 454, 7884, 4131, 781, 2736, 1524, 519, 3009, 1384, 272, 269, 1284, 1101, 1104, 519, 17877, 5399, 543, 5581, 513, 1599, 1572, 2387, 22056, 318, 10585, 1436, 24624, 319, 602, 3217, 1614, 7440, 281, 2387, 10585, 1436, 318, 30135, 12452, 2387, 335, 31242, 318, 31371, 26092, 12452, 543, 2387, 335, 31242, 318, 31371, 26092, 15481, 319, 563, 273, 269, 18738, 519, 1599, 267, 649, 5173, 519, 2698, 1297, 540, 19641, 543, 1711, 606, 8900, 2834, 1436, 5119, 1210, 17877, 781, 2387, 24029, 319, 1599, 563, 274, 269, 1284, 1287, 4009, 519, 2834, 1436, 12035, 1210, 519, 4082, 2387, 10585, 1436, 318, 30135, 2878, 476, 273, 269, 271, 319, 563, 275, 269, 8921, 267, 649, 621, 4733, 936, 1142, 18920, 543, 922, 12543, 1210, 29005, 585, 17787, 269, 1280, 1142, 7023, 267, 649, 9337, 519, 7222, 13366, 538, 519, 2834, 1436, 5119, 1759, 593, 519, 7023, 781, 4994, 543, 2597, 563, 276, 269, 7053, 267, 649, 2132, 519, 2834, 1436, 5119, 780, 3086, 602, 649, 723, 2813, 519, 2834, 1436, 5119, 267, 649, 666, 946, 621, 547, 5347, 856, 606, 3239, 269, 901, 3322, 14921, 519, 2834, 1436, 5119, 676, 519, 3239, 1239, 543, 1287, 3339, 1944, 519, 1267, 269, 634, 1159, 2393, 1117, 3239, 786, 723, 4389, 3604, 1063, 15231, 19641, 267, 1818, 621, 2408, 811, 7833, 543, 11617, 24886, 780, 2162, 10390, 692, 1103, 713, 1770, 267, 649, 4121, 827, 966, 528, 517, 16211, 21870, 543, 2834, 1436, 14290, 269, 1284, 8268, 875, 547, 1711, 513, 2834, 1436, 5119, 1210, 5124, 543, 519, 17877, 5399, 267, 543, 649, 5941, 875, 713, 5119, 666, 581, 1031, 547, 5347, 856, 606, 3239, 269, 1635, 1620, 891, 2035, 267, 596, 616, 1631, 835, 1900, 6251, 547, 13215, 3239, 4393, 543, 2780, 5075, 2553, 269, 5901, 3695, 267, 543, 1810, 1405, 581, 12922, 547, 4603, 609, 1114, 2834, 1436, 12035, 543, 966, 528, 517, 16211, 7470, 19383, 547, 3035, 519, 5551, 2164, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 799, 2488, 519, 4994, 540, 782, 12543, 540, 1169, 18920, 538, 26444, 1038, 519, 966, 528, 517, 16211, 7470, 630, 550, 1845, 540, 910, 272, 5330, 547, 1100, 7023, 1916, 825, 18920, 318, 31371, 26092, 15481, 2433, 26998, 6783, 344, 454, 1038, 1323, 5044, 540, 3259, 630, 20135, 7272, 1460, 1564, 264, 799, 3947, 519, 1297, 540, 12543, 540, 1169, 18920, 538, 519, 26444, 1038, 966, 528, 517, 16211, 7470, 563, 825, 29185, 825, 19641, 815, 7003, 263, 10585, 1436, 318, 30135, 2020, 825, 2834, 1436, 24624, 815, 5286, 25910, 263, 27729, 14352, 335, 1460, 1564, 267, 19641, 11723, 825, 2834, 1436, 318, 7076, 815, 2834, 1436, 318, 30135, 2878, 476, 273, 269, 271, 692, 825, 585, 1775, 538, 2039, 9638, 1460, 1564, 2187, 1038, 585, 795, 538, 2039, 9638, 31242, 318, 31371, 26092, 15481, 5157, 316, 2187, 2018, 7023, 16229, 815, 18920, 318, 31371, 26092, 5157, 267, 795, 2639, 2018, 2834, 1436, 24624, 5157, 267, 1775, 316, 6834, 2834, 1436, 318, 7076, 314, 31371, 4011, 16229, 2639, 2018, 2834, 1436, 24624, 314, 31371, 4011, 16229, 267, 7023, 16229, 316, 6834, 2834, 1436, 318, 7076, 314, 31371, 4011, 16229, 2639, 2018, 2834, 1436, 24624, 5157, 267, 7023, 16229, 316, 20699, 2834, 1436, 318, 7076, 314, 31371, 4011, 16229, 2639, 2018, 2834, 1436, 24624, 314, 31371, 4011, 16229, 267, 1775, 316, 20699, 2834, 1436, 318, 7076, 314, 31371, 4011, 16229, 6540, 825, 2132, 2834, 1436, 24624, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 1394, 547, 938, 8762, 5735, 7045, 256, 4653, 649, 2811, 2469, 547, 2263, 1776, 1271, 851, 540, 707, 1560, 910, 519, 10285, 1062, 269, 1809, 1810, 1405, 5855, 267, 649, 4465, 1405, 1205, 1932, 2930, 269, 5502, 267, 1577, 781, 4952, 649, 2811, 593, 513, 9589, 3460, 998, 513, 2244, 4904, 609, 3304, 2730, 28151, 543, 25267, 2439, 5629, 2390, 513, 942, 267, 538, 513, 30152, 2244, 1572, 834, 7312, 10610, 2437, 972, 729, 513, 4190, 14860, 1634, 607, 519, 834, 11847, 8793, 3590, 1701, 901, 14860, 1185, 1079, 15999, 28151, 910, 835, 585, 8695, 543, 835, 585, 6690, 269, 1452, 28151, 941, 1753, 547, 2027, 4600, 945, 5280, 1711, 6263, 5452, 630, 1122, 7714, 264, 543, 2370, 7980, 630, 338, 11279, 6393, 2690, 519, 21031, 267, 741, 14500, 729, 1572, 519, 29191, 4115, 16836, 269, 898, 729, 9856, 539, 676, 1079, 8797, 30842, 3957, 29191, 776, 2290, 543, 29191, 776, 5565, 269, 3962, 3923, 267, 891, 15931, 30842, 5950, 606, 4212, 689, 519, 14500, 883, 513, 23090, 5757, 1572, 519, 12096, 26508, 5211, 269, 634, 5757, 9900, 5645, 519, 5798, 2509, 513, 3636, 267, 18241, 19289, 1572, 519, 654, 4861, 20066, 1141, 789, 1223, 1332, 952, 6992, 1242, 780, 3086, 1577, 781, 3643, 519, 9543, 5443, 781, 8513, 267, 1572, 570, 4382, 983, 16011, 269, 3371, 5030, 1079, 12703, 15438, 267, 4530, 525, 23413, 543, 4530, 525, 8751, 269, 1358, 1500, 2386, 547, 3132, 2178, 2370, 17199, 2281, 1572, 14203, 269, 1879, 621, 729, 942, 267, 891, 6263, 12325, 2451, 570, 4382, 983, 16011, 3842, 1279, 13740, 3056, 856, 540, 519, 4884, 6821, 2394, 789, 6603, 513, 5870, 1747, 1572, 23849, 4347, 699, 985, 22810, 269, 3245, 1934, 267, 789, 4797, 1927, 19654, 2059, 519, 1482, 13374, 2394, 789, 1558, 909, 609, 811, 2828, 693, 513, 22882, 3957, 12054, 1400, 26751, 1834, 12384, 269, 2991, 11018, 782, 741, 16167, 267, 789, 4646, 513, 3532, 7952, 4712, 585, 2962, 2439, 3719, 3314, 267, 1256, 1498, 713, 4992, 3078, 267, 891, 2694, 991, 547, 581, 6854, 2973, 543, 2635, 865, 789, 666, 798, 741, 6009, 5265, 269, 3807, 899, 875, 596, 1491, 1416, 540, 707, 5172, 11442, 14500, 610, 6830, 267, 1118, 2386, 547, 11547, 3946, 1354, 1210, 519, 19880, 267, 4235, 7899, 540, 1216, 267, 3548, 1134, 267, 3635, 5781, 267, 543, 6432, 547, 1018, 544, 20207, 543, 546, 23098, 2161, 827, 5329, 3054, 2973, 543, 2922, 269, 2334, 1259, 267, 938, 8748, 3115, 8793, 3590, 8003, 786, 2141, 3251, 6126, 543, 14762, 2439, 4517, 1631, 267, 1250, 1762, 17701, 267, 594, 4126, 596, 1745, 9599, 543, 8049, 827, 1565, 811, 827, 707, 4703, 269, 5457, 267, 1702, 568, 1379, 267, 543, 1169, 1554, 6770, 1007, 3255, 547, 3605, 1945, 5863, 256, 19402, 1985, 942, 267, 1832, 3695, 267, 1832, 15819, 267, 543, 1034, 11932, 267, 1832, 15962, 707, 6909, 4703, 269, 1635, 324, 585, 1631, 256, 0, 8620, 513, 1187, 543, 2241, 552, 19543, 9074, 593, 1412, 300, 15412, 5735, 3299, 3358, 585, 476, 276, 547, 476, 1015, 1032, 6040, 1453, 269, 8838, 585, 513, 22488, 543, 19511, 1935, 267, 5078, 585, 1360, 1762, 6267, 563, 2171, 616, 1603, 593, 3184, 1412, 308, 4088, 1388, 3590, 32035, 8339, 769, 1880, 267, 3296, 1412, 2304, 10532, 543, 16453, 19287, 23273, 540, 519, 772, 4088, 1388, 570, 847, 8339, 1284, 723, 2907, 4988, 519, 1739, 1770, 538, 713, 3296, 281, 1412, 2304, 10532, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2039, 540, 513, 10471, 1210, 6310, 12596, 269, 1635, 1620, 713, 1599, 267, 649, 4312, 6591, 3407, 4030, 883, 519, 1158, 540, 1239, 5108, 543, 2079, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5814, 11885, 607, 5286, 692, 3698, 2241, 318, 2903, 24867, 267, 1611, 267, 2039, 2187, 825, 2132, 630, 11743, 910, 2039, 270, 273, 264, 2608, 5286, 269, 2158, 24867, 264, 1341, 2039, 2608, 5286, 20179, 20120, 24867, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 594, 1869, 3314, 950, 1250, 3158, 1101, 5143, 721, 827, 1200, 5868, 269, 898, 729, 899, 513, 10514, 1185, 1044, 12628, 593, 938, 1920, 269, 2701, 9364, 2141, 1044, 519, 4224, 649, 10709, 539, 593, 267, 2178, 543, 14388, 267, 855, 1631, 1352, 729, 6849, 835, 540, 519, 27162, 4554, 12959, 16697, 762, 910, 6089, 2860, 269, 8528, 2171, 941, 782, 18901, 267, 540, 1576, 267, 855, 6836, 547, 2322, 909, 12703, 8188, 585, 16474, 269, 6314, 8839, 3323, 3592, 5612, 1310, 6391, 267, 543, 602, 781, 950, 1919, 3893, 2731, 11315, 269, 634, 1592, 540, 1761, 2427, 2360, 5433, 11995, 282, 15353, 267, 4552, 2530, 267, 9854, 1862, 621, 8604, 607, 952, 1169, 2460, 540, 1200, 1272, 1131, 581, 4299, 676, 713, 2126, 269, 1656, 8197, 267, 621, 1705, 1689, 1200, 538, 2081, 9039, 540, 721, 1223, 723, 17191, 780, 4263, 1101, 267, 3388, 4682, 2687, 547, 1544, 630, 604, 972, 1256, 568, 971, 513, 3364, 607, 1412, 17839, 262, 950, 7231, 609, 1945, 607, 1395, 560, 9317, 607, 2860, 1040, 16474, 4810, 1082, 540, 1346, 23487, 539, 2589, 1107, 1352, 4503, 1200, 4190, 9221, 18133, 1225, 3149, 267, 17388, 609, 536, 8083, 540, 6446, 553, 1465, 267, 543, 1419, 6743, 27071, 269, 1809, 1018, 14281, 721, 1034, 729, 875, 1352, 17411, 891, 2591, 2212, 6823, 269, 4173, 6891, 2760, 5951, 1042, 267, 711, 2899, 269, 1403, 4376, 267, 1352, 8057, 6793, 998, 1142, 19224, 548, 267, 4742, 811, 5462, 982, 2479, 547, 10726, 519, 2068, 780, 10190, 3357, 519, 4729, 6335, 1100, 835, 4718, 4947, 269, 27933, 560, 782, 519, 2168, 24187, 267, 16474, 3459, 7680, 7096, 19260, 538, 1200, 12823, 540, 6492, 543, 9329, 269, 3767, 267, 4896, 945, 6487, 1250, 3993, 17358, 602, 1426, 814, 2141, 1044, 1200, 2648, 1893, 269, 18181, 14969, 6980, 585, 14812, 267, 4332, 17058, 267, 610, 1175, 2834, 3018, 333, 2074, 4547, 1200, 10373, 7772, 269, 1924, 4952, 938, 7104, 8710, 950, 8723, 8286, 10393, 13820, 539, 17285, 610, 15280, 547, 1200, 31370, 269, 4634, 8338, 267, 930, 11537, 3536, 2968, 30898, 792, 2406, 533, 2426, 550, 267, 4929, 1200, 4049, 11605, 780, 2005, 13264, 1250, 2295, 7487, 1200, 2057, 519, 10051, 267, 8384, 1200, 5172, 5986, 2982, 609, 17229, 18297, 1524, 1200, 3068, 1317, 1352, 14406, 1373, 2111, 547, 521, 2948, 519, 10366, 1352, 1031, 547, 1711, 269, 1284, 678, 718, 1221, 1472, 1200, 267, 3843, 1007, 10346, 543, 17408, 1136, 2025, 3283, 547, 13918, 1200, 4657, 16919, 267, 855, 4986, 5963, 5734, 519, 5544, 269, 898, 5433, 899, 1776, 16970, 9514, 689, 519, 7122, 267, 27560, 2943, 1776, 4062, 540, 1200, 3961, 2059, 609, 1200, 1072, 780, 3719, 1934, 781, 1141, 519, 1650, 3217, 513, 2490, 2509, 4126, 269, 4438, 835, 3226, 1970, 4090, 267, 16474, 1590, 1229, 909, 2614, 1648, 547, 6443, 721, 538, 519, 10051, 269, 2060, 1726, 3387, 1782, 3946, 267, 1352, 5280, 14299, 5388, 543, 13489, 27156, 267, 29379, 532, 513, 6263, 23650, 540, 1200, 5449, 1582, 269, 2334, 1554, 6825, 513, 6521, 538, 1200, 3460, 1107, 3079, 540, 2519, 9003, 593, 519, 2427, 2360, 267, 1352, 8359, 547, 1445, 593, 4466, 12257, 9624, 519, 1928, 780, 306, 869, 569, 855, 15983, 267, 16474, 9862, 547, 1200, 1007, 3339, 269, 8786, 267, 18068, 3576, 922, 17167, 267, 6028, 1200, 18604, 543, 12012, 267, 855, 621, 4769, 1405, 2736, 1200, 6891, 269, 4653, 267, 1352, 5170, 547, 2263, 11477, 1642, 2074, 609, 17105, 25525, 267, 18445, 602, 3006, 267, 1256, 519, 554, 1513, 4554, 15420, 666, 1291, 547, 9058, 4764, 28647, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 18658, 616, 519, 1034, 1455, 2427, 2360, 540, 18068, 888, 763, 1034, 1455, 2427, 2360, 540, 18068, 1331, 15353, 543, 13481, 267, 4552, 2530, 267, 9854, 267, 2530, 540, 14031, 267, 13165, 610, 19228, 267, 5023, 21399, 267, 2799, 1981, 540, 5563, 267, 17350, 267, 2653, 20015, 2358, 543, 11702, 267, 543, 2242, 538, 6492, 610, 9329, 14325, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 17345, 5149, 281, 16217, 21961, 29972, 538, 519, 29268, 692, 8893, 476, 272, 281, 1548, 568, 513, 16217, 21961, 888, 5970, 596, 2479, 4862, 540, 513, 31403, 1354, 286, 3143, 267, 621, 781, 711, 1175, 6371, 256, 16217, 597, 625, 616, 2965, 5318, 2127, 540, 2244, 4988, 538, 7381, 21823, 543, 10477, 3552, 25154, 269, 1358, 666, 12701, 607, 2484, 607, 519, 3750, 666, 1294, 543, 1683, 5321, 585, 1082, 1114, 2831, 269, 9894, 596, 917, 602, 972, 1031, 547, 581, 6634, 540, 14143, 540, 9299, 597, 625, 1318, 1934, 538, 519, 2136, 2276, 267, 1519, 538, 519, 11068, 13523, 2829, 899, 19578, 267, 13325, 267, 18518, 267, 17857, 267, 12309, 267, 16506, 267, 16713, 267, 3345, 21241, 267, 27228, 267, 11882, 267, 3162, 21241, 267, 543, 16855, 286, 1809, 1631, 267, 1447, 982, 476, 272, 260, 540, 1346, 3312, 9299, 597, 625, 2611, 269, 2334, 781, 1946, 621, 781, 1271, 585, 721, 547, 1451, 827, 873, 543, 1265, 2081, 547, 2149, 1018, 781, 2451, 780, 8893, 476, 273, 281, 1215, 2052, 1284, 8073, 3776, 13574, 22387, 16217, 21961, 12567, 888, 3086, 602, 649, 1174, 1018, 513, 31403, 568, 267, 1577, 781, 2911, 827, 875, 649, 666, 3142, 930, 540, 602, 5898, 883, 938, 1378, 1394, 29288, 676, 2870, 513, 9910, 31403, 4677, 256, 3807, 4952, 2348, 707, 1360, 1378, 2370, 4062, 540, 519, 4279, 26111, 1318, 3544, 707, 6885, 269, 1677, 1376, 267, 3442, 513, 13566, 5544, 538, 707, 13452, 610, 8708, 12202, 1858, 269, 3973, 267, 2824, 5065, 2371, 971, 607, 13711, 598, 1030, 869, 619, 267, 3109, 31991, 12246, 753, 267, 543, 2462, 17824, 652, 655, 6371, 269, 1452, 2010, 540, 2371, 786, 4482, 17984, 267, 5017, 267, 543, 824, 7320, 547, 707, 4677, 269, 5269, 2386, 547, 2030, 873, 2673, 1927, 865, 602, 789, 1332, 2178, 543, 1489, 1142, 824, 269, 1656, 1810, 1405, 7340, 547, 1216, 873, 5781, 1282, 3819, 28542, 780, 8893, 476, 274, 281, 14171, 5516, 540, 2659, 16217, 21961, 12567, 454, 9617, 899, 1022, 824, 1826, 540, 4677, 267, 2921, 1416, 540, 707, 31403, 4677, 1797, 5329, 606, 3750, 856, 585, 18047, 543, 9427, 873, 16425, 269, 1411, 1522, 849, 991, 547, 7941, 707, 21064, 2371, 1169, 1906, 1296, 547, 1832, 873, 2635, 269, 3958, 267, 2015, 6028, 6170, 5810, 7555, 2429, 5162, 3275, 1107, 713, 2488, 1898, 1426, 2959, 543, 12062, 585, 7320, 256, 5457, 547, 7747, 707, 4677, 1419, 282, 5469, 799, 2371, 3100, 6126, 543, 14762, 267, 543, 799, 3283, 949, 2154, 811, 3007, 269, 901, 1259, 267, 596, 1831, 606, 5483, 12403, 731, 540, 707, 31403, 522, 12118, 780, 3528, 1565, 827, 9299, 597, 625, 543, 2870, 707, 1378, 9910, 31403, 10651, 267, 711, 1152, 786, 596, 723, 513, 4190, 2230, 4904, 609, 7524, 4778, 543, 4241, 7068, 267, 855, 596, 786, 849, 3565, 9797, 2509, 8497, 891, 2565, 8134, 269, 8414, 12202, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1626, 269, 4962, 269, 1708, 273, 910, 7831, 8242, 593, 281, 476, 6860, 269, 5400, 269, 1708, 274, 454, 5263, 306, 10396, 14877, 1923, 476, 1240, 266, 630, 866, 266, 610, 476, 2641, 266, 1141, 2838, 264, 1923, 570, 261, 290, 779, 15233, 1923, 12232, 538, 31650, 267, 8121, 267, 11404, 267, 2910, 267, 9823, 267, 18919, 267, 21781, 267, 14889, 267, 23794, 267, 918, 312, 267, 10790, 267, 11022, 267, 24696, 267, 30400, 267, 12135, 267, 27020, 267, 17252, 267, 27359, 267, 12924, 267, 28679, 267, 15528, 267, 10758, 267, 681, 296, 267, 14662, 267, 12676, 267, 29031, 267, 570, 301, 267, 29255, 267, 654, 296, 267, 654, 309, 267, 1299, 25723, 563, 23087, 540, 6465, 295, 3266, 8871, 334, 32011, 454, 289, 517, 639, 281, 3493, 21627, 6474, 909, 547, 1269, 7742, 454, 23220, 334, 8943, 281, 23817, 2316, 301, 454, 13510, 9005, 538, 782, 2829, 538, 799, 519, 1587, 568, 3656, 543, 3742, 454, 6624, 2053, 667, 12396, 8924, 543, 5026, 9248, 786, 3895, 741, 1007, 6075, 1596, 657, 782, 936, 519, 3896, 610, 813, 267, 855, 602, 729, 711, 519, 2013, 609, 519, 6465, 295, 3266, 813, 269, 1284, 941, 18516, 952, 649, 1131, 1256, 4309, 513, 1007, 6075, 22429, 2394, 649, 1185, 835, 4757, 539, 547, 721, 1310, 2870, 938, 2272, 269, 9122, 593, 922, 13598, 2470, 267, 649, 616, 14322, 713, 568, 519, 3009, 602, 568, 1373, 4757, 539, 547, 782, 5561, 547, 1711, 606, 2272, 1510, 513, 840, 1410, 12371, 1596, 334, 3009, 789, 1336, 11992, 563, 32381, 267, 1007, 5561, 786, 4309, 513, 16005, 6474, 540, 909, 547, 1269, 7742, 538, 6465, 295, 3266, 22429, 6666, 950, 789, 946, 519, 3009, 543, 1118, 741, 1101, 16005, 269, 634, 22429, 6666, 1281, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 717, 19181, 2894, 5058, 1315, 13636, 1315, 29268, 630, 8656, 267, 14889, 267, 5442, 267, 23794, 267, 24696, 267, 30400, 267, 17834, 267, 27020, 267, 17252, 267, 27846, 267, 12676, 267, 654, 296, 264, 1315, 16217, 21961, 29972, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 7201, 519, 24588, 540, 6801, 267, 513, 1895, 540, 2828, 10356, 1472, 513, 11523, 1782, 3786, 13933, 267, 882, 5109, 519, 694, 1066, 640, 540, 2470, 269, 29321, 1194, 538, 519, 2295, 540, 519, 18137, 267, 789, 2220, 11474, 2984, 936, 10425, 267, 741, 17409, 16079, 532, 998, 519, 1869, 1145, 540, 519, 3781, 269, 7324, 873, 2893, 25455, 267, 945, 267, 7429, 1010, 15274, 267, 1336, 24176, 2476, 689, 519, 554, 755, 548, 543, 11861, 548, 540, 2749, 1272, 269, 3571, 22401, 1743, 26661, 2509, 519, 4158, 2989, 1163, 534, 572, 3564, 741, 13122, 924, 607, 646, 11432, 1229, 519, 2856, 540, 10655, 811, 3595, 6229, 780, 257, 21790, 952, 594, 11090, 2059, 8119, 513, 5639, 29169, 1010, 4555, 269, 898, 20705, 547, 8861, 267, 513, 8284, 27423, 540, 9205, 9035, 269, 8528, 297, 820, 11688, 18469, 4090, 3320, 269, 1261, 15874, 1200, 2754, 855, 849, 12595, 3106, 1657, 782, 3116, 269, 2991, 20604, 1010, 3681, 267, 646, 14452, 267, 834, 306, 675, 3364, 267, 855, 1577, 781, 6529, 1927, 543, 3251 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12798, 543, 14299, 6853, 6329, 563, 4002, 519, 824, 1688, 267, 3032, 600, 541, 753, 616, 811, 838, 20160, 543, 6899, 585, 2110, 15143, 610, 2267, 2358, 267, 543, 741, 13719, 8908, 2636, 873, 547, 1569, 811, 13719, 7297, 563, 1103, 1840, 267, 621, 568, 1271, 547, 2015, 519, 2450, 540, 519, 6077, 596, 1616, 563, 306, 841, 2692, 1846, 3335, 2097, 538, 513, 3099, 540, 7306, 267, 689, 1507, 546, 532, 327, 625, 547, 1804, 586, 778, 1206, 267, 1247, 3032, 600, 541, 753, 3335, 2097, 538, 3677, 7306, 563, 22102, 518, 13743, 2692, 1846, 616, 4998, 585, 2582, 26370, 22892, 267, 1247, 3677, 13743, 2692, 1846, 616, 1732, 585, 3677, 2516, 540, 1004, 563, 299, 24147, 3032, 600, 541, 753, 267, 593, 519, 824, 1688, 267, 616, 3501, 585, 1346, 3168, 585, 513, 838, 20160, 543, 6899, 6077, 585, 2267, 2358, 610, 19278, 563, 7661, 267, 621, 568, 849, 1271, 547, 2015, 519, 1942, 540, 519, 6077, 543, 1022, 2404, 5826, 3790, 563, 306, 841, 2692, 1846, 616, 3335, 811, 10097, 982, 3032, 600, 541, 753, 267, 2523, 585, 3677, 8043, 563, 4913, 267, 3032, 600, 541, 753, 3335, 2154, 1447, 5826, 982, 13743, 2692, 1846, 267, 543, 741, 12242, 26083, 338, 1118, 873, 811, 14388, 1996, 2178, 12798, 543, 14299, 6853, 7297, 563, 14454, 267, 1312, 13743, 2692, 1846, 543, 3032, 600, 541, 753, 723, 741, 1378, 5383, 543, 11393, 267, 865, 621, 779, 1271, 547, 2015, 707, 1367, 2115, 1354, 14045, 799, 1826, 540, 6077, 568, 1318, 585, 596, 563, 13706, 519, 1826, 540, 22892, 596, 1544, 547, 798, 267, 519, 2450, 540, 519, 6077, 267, 543, 519, 1942, 540, 519, 6077, 543, 1022, 2404, 5826, 3790, 1354, 1818, 513, 3375, 563, 2691, 621, 2501, 547, 22892, 267, 972, 616, 1082, 2188, 547, 2015, 950, 3843, 547, 6430, 1063, 513, 13743, 29539, 543, 513, 3032, 600, 15546, 563, 13828, 2010, 540, 8043, 2709, 5383, 543, 11393, 267, 865, 922, 1271, 547, 2015, 707, 1367, 2115, 1354, 1818, 513, 3375, 563, 2690, 3236, 267, 952, 596, 516, 3168, 585, 513, 10935, 602, 568, 5488, 543, 811, 23603, 762, 267, 1287, 513, 13743, 29539, 949, 581, 707, 1655, 4781, 563, 306, 841, 2692, 1846, 3335, 723, 835, 15958, 543, 513, 2620, 1183, 601, 602, 2337, 547, 24644, 873, 538, 519, 1216, 267, 1818, 873, 4998, 585, 811, 4359, 22892, 563, 4002, 519, 824, 1688, 267, 3032, 600, 541, 753, 616, 1454, 811, 7123, 1813, 547, 741, 1079, 6252, 26083, 338, 543, 3668, 540, 513, 1183, 601, 267, 3850, 873, 547, 3362, 6330, 13719, 7297, 543, 5356, 513, 6899, 11878, 585, 2267, 2358, 563, 5445, 849, 4043, 547, 581, 811, 838, 20160, 982, 13743, 2692, 1846, 267, 1818, 873, 4998, 585, 3677, 2516, 610, 3885, 563, 27407, 267, 519, 3375, 1063, 513, 13743, 29539, 543, 3032, 600, 15546, 1630, 2812, 1524, 547, 707, 1367, 2115, 543, 7375, 563, 2252, 596, 516, 3168, 585, 513, 5488, 543, 811, 23603, 762, 10935, 267, 1287, 513, 13743, 29539, 949, 581, 519, 1318, 3903, 563, 4913, 267, 952, 596, 516, 3168, 585, 513, 811, 838, 20160, 543, 6899, 11878, 267, 1287, 513, 3032, 600, 15546, 949, 581, 519, 1732, 4781, 563, 21132, 1271, 547, 9260, 519, 5383, 543, 11393, 540, 1142, 6077, 1354, 1818, 513, 3375, 563, 1103, 3932, 267, 13743, 2692, 1846, 543, 3032, 600, 541, 753, 616, 1079, 1360, 1114, 2010, 540, 22892, 8043, 602, 1142, 2709, 741, 1378, 2189, 5383, 543, 11393, 4470, 593, 707, 1367, 2115, 563, 306, 841, 2692, 1846, 616, 3335, 5488, 543, 811, 26227, 267, 1247, 3032, 600, 541, 753, 616, 811, 7123, 543, 838, 20160, 563, 27407, 267, 519, 1655, 1826, 540, 6077, 585, 596, 786, 4096, 593, 519, 1826, 540, 22892, 596, 1544, 547, 798, 543, 519, 2115, 540, 707, 22892, 12284, 563, 13706, 782, 540, 519, 2188, 602, 723, 1044, 5941, 543, 1118, 606, 5483, 3375, 602, 596, 666, 581, 8746, 538, 269, 0, 7312, 1345, 267, 769, 1250, 6644, 602, 1913, 856, 540, 5681, 518, 1014, 568, 2965, 811, 9921, 543, 6671, 607, 3379, 547, 1913, 1055, 23826, 610, 15349, 454, 22832, 5783, 1189, 269, 594, 10146, 1346, 10274, 1932, 8164, 1775, 2119, 513, 4819, 269, 10261, 1652, 547, 2161, 267, 972, 568, 1100, 2322, 538, 9758, 1686, 3478, 971, 607, 585, 1383, 513, 1434, 10340, 269, 634, 4890, 1152, 1483, 3105, 13120, 799, 1223, 6148, 1832, 519, 14897, 766, 689, 971, 607, 585, 3236, 513, 10340, 616, 9090, 519, 1702, 540, 519, 1608, 1457, 320, 18962, 2476, 689, 18578, 320, 543, 4061, 30192, 1472, 476, 3583, 267, 821, 4627, 8536, 645, 5861, 563, 285, 6624, 7064, 14320, 2348, 32232, 8885, 269, 14568, 267, 19320, 1250, 1433, 3436, 8181, 5573, 538, 519, 476, 272, 560, 513, 6712, 540, 519, 4832, 1014, 2528, 267, 594, 993, 6158, 827, 1991, 547, 3436, 306, 3779, 1284, 607, 1134, 607, 519, 1034, 824, 540, 891, 269, 3436, 3436, 2171, 2446, 3875, 2798, 593, 519, 4984, 269, 594, 2907, 4628, 917, 602, 789, 3436, 323, 573, 333, 1406, 3972, 513, 10715, 1175, 1310, 2669, 267, 6382, 3102, 713, 1880, 16938, 5158, 14872, 568, 2965, 3436, 2865, 552, 2548, 344, 8164, 4666, 269, 594, 6999, 547, 1174, 2012, 540, 519, 2025, 10971, 267, 543, 596, 949, 3436, 4820, 7781, 3390, 3823, 741, 1825, 19133, 538, 519, 1259, 616, 7058, 547, 1205, 519, 1272, 3436, 3286, 1310, 12955, 269, 3436, 3436, 1103, 6984, 952, 621, 596, 666, 3362, 1174, 513, 1906, 1919, 2509, 9998, 2629, 10034, 883, 519, 3436, 8999, 1067, 1014, 2486, 267, 4010, 875, 729, 8197, 7058, 4742, 519, 1007, 2777, 267, 519, 5767, 5493, 2167, 267, 519, 4195, 3436, 291, 27903, 267, 6382, 7102, 1753, 2861, 3693, 267, 594, 6557, 15020, 5418, 21724, 563, 296, 993, 20994, 269, 594, 993, 2141, 14775, 513, 2603, 811, 1808, 2055, 982, 3274, 865, 621, 269, 594, 666, 711, 798, 519, 2816, 689, 18997, 707, 563, 296, 1131, 2303, 799, 596, 11601, 543, 1224, 606, 5440, 17266, 25441, 1530, 924, 2500, 476, 1960, 279, 2189, 267, 9737, 519, 20837, 338, 267, 540, 519, 16452, 570, 4669, 1194, 913, 269, 6904, 17404, 2907, 5340, 519, 1394, 2666, 1382, 602, 596, 2491, 543, 596, 666, 621, 25361, 1010, 3391, 563, 285, 19743, 281, 1411, 786, 1265, 13761, 707, 1378, 1160, 1729, 4149, 10179, 1014, 18500, 4886, 26488, 3436, 19986, 268, 19986, 335, 1137, 2899, 1586, 7747, 4010, 1018, 2152, 1131, 17663, 7623, 2474, 269, 634, 4195, 1007, 3436, 21353, 545, 2165, 2429, 519, 1592, 729, 575, 19487, 2048, 3691, 770, 685, 630, 8615, 2048, 332, 20488, 685, 1341, 22678, 2048, 1729, 2285, 685, 1040, 898, 568, 3436, 2254, 1250, 3483, 547, 24895, 519, 4195, 13093, 2045, 1599, 543, 922, 1378, 4214, 607, 3436, 685, 332, 20488, 685, 786, 581, 5033, 656, 1227, 827, 21031, 685, 562, 21451, 543, 596, 949, 32364, 1341, 22678, 5526, 3436, 553, 513, 20310, 5610, 693, 1101, 8289, 269, 11048, 568, 711, 1360, 6654, 952, 519, 3436, 7474, 5654, 693, 519, 6216, 1007, 524, 2317, 6134, 4191, 540, 32364, 267, 22678, 543, 596, 949, 575, 19487, 269, 7183, 32364, 610, 22678, 7363, 3436, 1326, 1154, 16545, 689, 519, 524, 2317, 6134, 16315, 540, 575, 19487, 799, 5526, 547, 1831, 1776, 3436, 1440, 10675, 5365, 3294, 563, 763, 9275, 2474, 543, 2175, 729, 8197, 19775, 1134, 1354, 519, 4195, 1007, 2854, 10291, 269, 634, 1004, 540, 835, 779, 2854, 10291, 1185, 4121, 6216, 1007, 11913, 2474, 1813, 547, 519, 1249, 796, 15842, 5287, 13093, 2438, 9696, 602, 723, 1044, 1100, 3476, 12649, 2509, 519, 6712, 563, 285, 1403, 865, 10683, 1522, 723, 11613, 4986, 547, 3436, 22056, 547, 519, 813, 749, 566, 267, 621, 1175, 2813, 606, 3693, 540, 519, 6091, 1775, 6049, 1289, 3436, 685, 3832, 560, 9957, 901, 1131, 581, 9672, 1317, 540, 519, 23826, 1183, 10964, 2048, 3832, 560, 685, 543, 18584, 3436, 307, 24642, 880, 575, 690, 9926, 2048, 3832, 560, 9957, 3131, 522, 827, 15349, 8360, 2119, 7074, 2348, 5884, 637, 529, 269, 3436, 288, 17053, 2442, 2707, 585, 519, 21777, 5072, 575, 629, 267, 1183, 321, 543, 596, 786, 575, 690, 949, 711, 581, 607, 1134, 3436, 14551, 547, 1265, 269, 15952, 1007, 5681, 518, 1014, 575, 629, 568, 3489, 762, 593, 23826, 2367, 3436, 1150, 12849, 18637, 328, 543, 717, 1987, 267, 7132, 593, 21519, 28763, 657, 630, 13768, 1599, 918, 19487, 1070, 543, 713, 3436, 6577, 1774, 22902, 2275, 4554, 539, 2043, 269, 9747, 519, 910, 534, 2500, 593, 519, 5681, 518, 1014, 575, 19487, 11148, 547, 581, 3436, 16591, 21879, 596, 547, 9090, 3029, 21371, 269, 630, 3080, 1776, 910, 16591, 543, 910, 657, 568, 2965, 740, 915, 2526, 21879, 525, 883, 519, 3436, 1492, 23826, 1893, 1916, 6701, 972, 3339, 5639, 20675, 845, 4031, 596, 547, 3095, 23826, 2048, 651, 10964, 685, 609, 15349, 2048, 326, 690, 9926, 685, 286, 27870, 3723, 540, 519, 23826, 2474, 267, 5469, 519, 3597, 2048, 330, 30249, 4083, 685, 4214, 2048, 331, 31258, 685, 950, 596, 1413, 693, 519, 21859, 3121, 5463, 1910, 779, 3391, 901, 1007, 772, 1537, 545, 5019, 565, 4833, 281, 589, 9488, 29766, 267, 661, 340, 1503, 3907, 320, 267, 2349, 334, 4040, 2023, 267, 476, 1960, 271, 563, 763, 21777, 21879, 910, 320, 2010, 17205, 610, 2535, 658, 5220, 538, 5681, 518, 1014, 267, 3976, 7311, 519, 7954, 267, 519, 562, 21451, 610, 28244, 6157, 616, 519, 3510, 835, 547, 575, 11274, 267, 1256, 1498, 5681, 518, 1014, 814, 1100, 3226, 8231, 267, 609, 3110, 267, 2048, 1729, 588, 1074, 8730, 543, 575, 889, 267, 2048, 1729, 1796, 17483, 307, 24642, 880, 12851, 547, 519, 1325, 3279, 545, 6863, 14077, 454, 1607, 1058, 24901, 930, 23826, 1913, 949, 723, 4359, 856, 6361, 513, 1762, 2186, 540, 5681, 518, 1014, 269, 4065, 540, 707, 1378, 1942, 1055, 30827, 1689, 4362, 707, 3009, 540, 8105, 2477, 568, 3226, 2757, 543, 11259, 1996, 7369, 269, 0, 8138, 338, 573, 344, 6030, 543, 14104, 4755, 547, 581, 2081, 602, 6608, 6175, 519, 3790, 2404, 609, 8757, 1978, 10700, 269, 1452, 666, 1491, 1346, 1106, 540, 7482, 24307, 267, 10279, 598, 947, 687, 610, 5310, 15314, 267, 543, 824, 1489, 1949, 563, 23744, 267, 13564, 344, 3292, 543, 14104, 2816, 547, 13468, 22237, 2042, 971, 607, 2344, 17418, 676, 16715, 519, 1942, 540, 6721, 5370, 610, 2533, 269, 4340, 547, 2489, 3666, 3069, 267, 950, 513, 6330, 547, 891, 16921, 3549, 616, 17528, 543, 4929, 513, 2603, 540, 610, 711, 2614, 2504, 547, 4755, 538, 513, 1880, 1858, 267, 1310, 602, 972, 568, 513, 10421, 585, 513, 13564, 344, 547, 3142, 3761, 909, 547, 513, 1377, 602, 1131, 581, 16363, 6099, 676, 519, 2229, 563, 15703, 8128, 8044, 602, 2883, 6351, 616, 1932, 3902, 344, 267, 602, 789, 798, 7753, 6456, 3790, 267, 543, 713, 2797, 13755, 4926, 666, 1118, 782, 540, 873, 796, 3430, 847, 633, 543, 1102, 12787, 811, 2042, 593, 1004, 982, 789, 616, 2731, 4502, 269, 3958, 2073, 1082, 24192, 5855, 602, 24307, 4043, 711, 547, 3035, 519, 3853, 789, 616, 2966, 547, 563, 14300, 540, 24307, 6451, 912, 17445, 7482, 19132, 547, 4213, 630, 7945, 607, 7791, 1648, 24307, 994, 8802, 17419, 3800, 602, 948, 3549, 543, 6080, 2333, 267, 971, 607, 10279, 17099, 610, 15314, 563, 8802, 2827, 585, 4213, 602, 1711, 4324, 538, 519, 2197, 543, 3565, 547, 519, 1857, 1434, 610, 5310, 519, 3084, 4346, 607, 513, 2898, 267, 1519, 1072, 1416, 10279, 17429, 2388, 563, 15761, 2400, 24307, 4043, 547, 581, 2352, 547, 2697, 543, 1331, 5180, 12671, 1489, 1949, 971, 607, 9513, 3902, 8060, 267, 5092, 9993, 267, 543, 7182, 2390, 2344, 2744, 1569, 547, 563, 1103, 590, 1547, 535, 4920, 8646, 267, 519, 2199, 16926, 7110, 1505, 2488, 7616, 547, 3382, 519, 7934, 3823, 519, 5665, 15271, 6383, 676, 3274, 10283, 3466, 543, 519, 1483, 5665, 3790, 585, 1483, 10040, 602, 6411, 1970, 13867, 21427, 543, 5924, 11215, 610, 2189, 2115, 535, 537, 548, 269, 634, 1982, 1131, 711, 723, 922, 1360, 1378, 4747, 25046, 10148, 267, 4470, 3079, 693, 519, 4747, 10148, 13615, 547, 2921, 851, 7835, 685, 3854, 14104, 269, 0, 281, 1215, 513, 21824, 1652, 1520, 643, 14515, 27439, 3127, 779, 476, 272, 560, 4658, 779, 4860, 27117, 18830, 519, 3703, 1948, 19328, 301, 11246, 306, 1948, 14532, 5463, 3547, 1354, 1018, 938, 1686, 2835, 2015, 547, 581, 519, 2048, 5575, 2782, 540, 14412, 685, 630, 6977 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9806, 267, 543, 9431, 10220, 729, 849, 2442, 269, 901, 10522, 519, 1713, 3310, 540, 2123, 2418, 540, 5411, 540, 1970, 17263, 20730, 593, 741, 1870, 982, 1776, 2359, 1826, 899, 519, 11262, 543, 7307, 676, 29929, 610, 2229, 269, 4746, 267, 6306, 689, 2804, 2188, 267, 972, 616, 824, 17697, 10256, 540, 3039, 2359, 2853, 799, 1058, 6161, 2417, 2090, 563, 5804, 519, 4681, 543, 8753, 267, 6554, 1058, 11168, 811, 593, 519, 2825, 7881, 540, 11319, 519, 3039, 16786, 982, 519, 16312, 13917, 2640, 799, 568, 4922, 3262, 1851, 20730, 538, 713, 1353, 563, 10702, 3609, 3527, 1058, 849, 6161, 519, 991, 547, 1711, 513, 20009, 5790, 585, 20730, 547, 5912, 689, 519, 13416, 7443, 12366, 1436, 31249, 344, 547, 519, 1604, 543, 1870, 6940, 16786, 540, 519, 2197, 543, 519, 8608, 563, 7661, 267, 9431, 8041, 971, 607, 16501, 543, 715, 14011, 991, 513, 811, 3102, 14791, 621, 10719, 776, 982, 519, 30060, 2834, 3643, 799, 1281, 711, 8524, 519, 4295, 2152, 540, 3039, 1870, 2853, 540, 20730, 563, 1692, 1677, 5192, 634, 13159, 7698, 1280, 24167, 5682, 13756, 27870, 19793, 1324, 12655, 4886, 769, 12182, 1564, 454, 763, 13159, 7698, 786, 581, 13329, 547, 1411, 538, 3807, 476, 273, 17778, 454, 30022, 1299, 11822, 7498, 13014, 513, 16353, 18734, 610, 623, 5308, 32237, 540, 19238, 355, 276, 267, 1822, 547, 1022, 540, 519, 10055, 12989, 454, 347, 28398, 3143, 12727, 476, 32146, 1911, 32699, 272, 2008, 25200, 281, 6341, 874, 2088, 9142, 2008, 347, 28398, 7392, 281, 7351, 2008, 347, 28398, 3143, 12727, 476, 14338, 4649, 272, 25834, 273, 2008, 25200, 281, 6341, 874, 2088, 9142, 2008, 347, 28398, 7392, 281, 7351, 2008, 7775, 14160, 27912, 28313, 1677, 9796, 2060, 1546, 4226, 9315, 454, 347, 19489, 14160, 296, 19006, 744, 308, 4811, 22432, 715, 5456, 2207, 8656, 2008, 347, 12710, 27912, 28313, 1677, 9796, 2060, 1546, 4226, 9315, 18121, 736, 10245, 347, 294, 11190, 2793, 1107, 5269, 32237, 540, 476, 1911, 717, 9391, 547, 24211, 301, 7720, 27770, 267, 476, 271, 4649, 4375, 278, 8517, 276, 267, 19958, 14642, 629, 1393, 344, 2008, 306, 754, 519, 11374, 19672, 593, 29243, 7343, 630, 476, 32146, 275, 4343, 27183, 9032, 264, 2991, 32237, 454, 268, 32237, 19672, 454, 268, 19478, 17372, 454, 268, 24167, 5682, 13756, 27870, 19793, 1324, 12655, 4886, 769, 12182, 1564, 454, 763, 13159, 7698, 4024, 2142, 13329, 1677, 2659, 19478, 17372, 2991, 25547, 1516, 2659, 19672, 454, 307, 1299, 595, 15233, 454, 1607, 1382, 1570, 968, 2750, 600, 1456, 5682, 13756, 27870, 19793, 1324, 12655, 4886, 769, 12182, 1564, 892, 568, 585, 1382, 5301, 543, 1058, 581, 1031, 607, 513, 3391, 538, 3384, 707, 1382, 1788, 1315, 29519, 960, 269, 1280, 1100, 2601, 1058, 596, 5299, 2262, 585, 2262, 630, 14620, 520, 574, 264, 607, 7663, 874, 2088, 2593, 269, 978, 786, 711, 581, 25964, 585, 1022, 945, 23652, 519, 1570, 563, 763, 2832, 540, 3246, 713, 1570, 568, 547, 2569, 519, 2566, 540, 3001, 689, 835, 1153, 5399, 547, 1776, 782, 538, 519, 2012, 540, 10478, 585, 1382, 2326, 269, 901, 3028, 568, 3656, 1317, 267, 782, 5238, 11863, 741, 1053, 547, 1224, 3105, 3785, 267, 2835, 267, 4930, 610, 4574, 1247, 3384, 741, 1378, 1568, 269, 4340, 547, 21388, 21890, 517, 968, 5472, 3860, 960, 13976, 593, 1018, 3357, 1354, 9731, 338, 26241, 2088, 2593, 269, 978, 568, 1152, 3246, 713, 1570, 968, 2750, 600, 1456, 5682, 13756, 27870, 19793, 1324, 12655, 4886, 769, 12182, 1564, 892, 607, 513, 4704, 585, 707, 1382, 269, 634, 1957, 1058, 581, 1031, 607, 513, 3391, 610, 5943, 585, 707, 1378, 1957, 269, 634, 9115, 540, 713, 1957, 1058, 581, 2111, 547, 948, 596, 538, 10451, 1007, 2093, 543, 4555, 585, 707, 1378, 1382, 269, 2422, 621, 607, 513, 5583, 3483, 1152, 269, 0, 22913, 540, 3163, 630, 5960, 994, 18404, 11136, 1108, 543, 8693, 3163, 454, 5141, 10796, 723, 513, 1804, 1764, 593, 3047, 779, 5982, 6578, 267, 543, 4352, 972, 568, 513, 29264, 762, 2179, 540, 1382, 593, 873, 267, 972, 616, 1869, 24604, 7282, 875, 32721, 267, 6384, 267, 543, 27829, 9940, 2360, 1764, 741, 2890, 874, 9713, 3601, 269, 634, 3668, 540, 22423, 2079, 593, 4963, 6350, 543, 6404, 25686, 6531, 9013, 2188, 267, 1775, 4318, 1421, 2837, 267, 3448, 11195, 267, 7299, 6991, 267, 543, 27829, 1297, 9830, 267, 7182, 938, 1620, 540, 875, 891, 3601, 1764, 741, 2890, 874, 9713, 3601, 543, 267, 4061, 267, 635, 27289, 875, 789, 616, 20533, 1369, 2916, 3631, 269, 2060, 5722, 8184, 11044, 14102, 676, 519, 2817, 3163, 7690, 630, 10064, 293, 264, 543, 2947, 14102, 676, 519, 2817, 17224, 517, 2246, 923, 543, 6611, 10029, 630, 22498, 1070, 649, 30387, 4963, 6350, 12269, 883, 2947, 4720, 11775, 269, 1284, 1287, 5635, 519, 22085, 293, 10471, 547, 20533, 1239, 689, 519, 2817, 4741, 585, 27321, 3194, 630, 10998, 2752, 264, 7991, 22014, 1877, 7844, 476, 277, 630, 290, 4456, 277, 1040, 1284, 1265, 602, 519, 4720, 11775, 6542, 2312, 3604, 1063, 835, 1776, 10834, 602, 621, 568, 1271, 547, 1491, 873, 883, 2272, 950, 7421, 519, 27829, 9940, 2360, 593, 4963, 6350, 12269, 269, 3958, 267, 649, 1459, 513, 1007, 1505, 547, 5094, 6404, 25686, 12269, 883, 2185, 5912, 11775, 799, 2636, 721, 547, 2099, 741, 27104, 9713, 3601, 269, 4635, 713, 1505, 543, 9236, 621, 547, 513, 6508, 10471, 602, 11225, 11775, 829, 9325, 8761, 602, 972, 568, 513, 9756, 1063, 519, 27104, 9713, 543, 2890, 874, 9713, 3601, 540, 6404, 874, 848, 12269, 563, 21547, 1408, 267, 7579, 11709, 612, 320, 267, 834, 763, 21478, 540, 589, 14058, 11169, 593, 10979, 543, 24908, 268, 4942, 848, 1849, 10796, 9122, 593, 769, 4149, 15856, 17325, 725, 543, 6682, 277, 3244, 2827, 257, 630, 1708, 273, 1040, 9457, 781, 634, 4513, 269, 476, 276, 4029, 279, 269, 0, 10870, 24002, 281, 476, 2004, 4113, 6734, 12664, 1691, 16357, 301, 267, 476, 276, 4113, 6078, 12664, 4375, 16357, 310, 454, 302, 6113, 333, 766, 11752, 7470, 4704, 281, 17335, 32579, 26951, 454, 301, 534, 329, 714, 531, 630, 10193, 1634, 607, 7085, 7345, 264, 568, 513, 4190, 9678, 524, 913, 267, 1655, 6603, 676, 1739, 519, 3162, 4639, 11076, 11202, 827, 476, 272, 269, 277, 5195, 5180, 689, 8092, 779, 7736, 563, 301, 534, 329, 714, 531, 814, 513, 1216, 6420, 543, 513, 1297, 540, 23572, 607, 1134, 607, 513, 1309, 591, 333, 748, 8574, 3118, 267, 12816, 676, 519, 5836, 267, 917, 607, 519, 2048, 1492, 14576, 540, 519, 7256, 685, 610, 2098, 11921, 12877, 326, 538, 12397, 880, 267, 2495, 2048, 4812, 539, 669, 11047, 9957, 901, 1309, 591, 333, 849, 3947, 519, 15922, 621, 779, 12397, 880, 2012, 267, 623, 2180, 715, 753, 340, 1088, 267, 689, 799, 15089, 329, 714, 601, 24283, 267, 2495, 2048, 322, 913, 540, 519, 875, 1782, 14860, 17483, 763, 2012, 7085, 7345, 4016, 547, 513, 1216, 1984, 267, 519, 8297, 1441, 3788, 540, 799, 666, 1869, 581, 1336, 1657, 519, 15922, 563, 288, 4224, 5250, 547, 519, 5087, 540, 519, 15922, 568, 1634, 607, 519, 2048, 291, 3554, 1180, 21696, 685, 29384, 267, 1813, 547, 922, 11696, 28917, 547, 519, 3337, 540, 513, 7504, 543, 519, 15532, 540, 21247, 602, 2196, 998, 621, 563, 763, 3788, 540, 513, 2458, 1512, 6928, 267, 519, 4975, 540, 9315, 858, 267, 799, 13351, 519, 7725, 538, 513, 7088, 538, 476, 4489, 273, 267, 666, 1869, 581, 2938, 693, 1970, 20352, 269, 24664, 1176, 3025, 20829, 267, 1519, 513, 1079, 4458, 6040, 1126, 267, 941, 10710, 676, 519, 590, 3317, 523, 5020, 29539, 12284, 267, 1210, 741, 15177, 17102, 630, 10193, 1634, 607, 513, 23222, 2583, 26255, 264, 547, 3595, 513, 1899, 689, 519, 13272, 543, 3094, 577, 873, 547, 3106, 269, 0, 5522, 11047, 573, 7004, 1210, 533, 1075, 1240, 593, 552, 19546, 1210, 269, 769, 1840, 267, 4130, 9842, 332, 1749, 3622, 21613, 811, 7561, 538, 4551, 543, 3132, 3677, 2338, 540, 9842, 332, 1749, 829, 1591, 269, 1548, 568, 519, 3017, 1063, 533, 1075, 1240, 543, 533, 1075, 866, 4267, 269, 2422, 609, 26882, 2102, 324, 3301, 610, 519, 1863, 21951, 547, 14650, 3606, 1239, 543, 5447, 824, 9696, 269, 634, 4786, 267, 4967, 267, 543, 14391, 725, 593, 713, 2985, 543, 538, 519, 5311, 14090, 3758, 616, 1196, 1570, 269, 634, 6556, 540, 9842, 13232, 533, 1075, 1240, 729, 1031, 607, 13321, 31252, 585, 938, 6901, 269, 9137, 4702, 513, 8766, 28295, 6152, 689, 513, 533, 1075, 1240, 269, 623, 13062, 29208, 540, 519, 3039, 28264, 3940, 5444, 585, 563, 763, 533, 1075, 866, 9842, 13232, 476, 273, 267, 6924, 277, 536, 335, 1476, 619, 18041, 27957, 4187, 543, 9148, 12889, 538, 269, 670, 2678, 23189, 538, 2627, 15392, 5267, 513, 6498, 540, 4074, 269, 898, 3568, 519, 533, 3387, 272, 5169, 540, 18643, 689, 533, 1962, 27088, 267, 855, 621, 19330, 519, 887, 335, 5444, 543, 11438, 513, 1448, 15817, 538, 519, 678, 333, 2967, 328, 13973, 575, 476, 29574, 276, 538, 533, 1962, 27088, 547, 513, 476, 279, 538, 533, 1075, 866, 269, 26306, 2978, 519, 24450, 540, 9842, 13232, 12743, 543, 513, 563, 763, 533, 3387, 272, 18187, 517, 1065, 3743, 585, 519, 18643, 540, 9842, 13232, 2707, 9842, 13232, 533, 1962, 27088, 269, 1773, 11047, 573, 616, 711, 2556, 585, 6668, 855, 949, 24705, 930, 5413, 547, 519, 269, 4595, 519, 887, 335, 3940, 568, 513, 2942, 26273, 540, 9842, 13232, 18643, 1369, 519, 1071, 548, 272, 1920, 267, 621, 568, 2312, 602, 922, 9000, 786, 3138, 4923, 519, 1852, 593, 9842, 13232, 18643, 3056, 547, 2799, 5299, 1297, 269, 901, 568, 513, 1863, 4199, 585, 519, 3621, 2146, 602, 568, 16432, 676, 1039, 2102, 324, 269, 634, 9842, 13232, 1185, 513, 476, 4366, 278, 279, 321, 335, 10126, 540, 3566, 328, 21301, 25754, 17332, 883, 519, 3235, 528, 272, 3135, 267, 3976, 1310, 7558, 269, 8376, 1852, 538, 20544, 29867, 609, 32714, 269, 623, 338, 325, 9492, 341, 335, 1075, 1240, 4699, 341, 533, 1075, 1240, 544, 14369, 9842, 13232, 9842, 13232, 6152, 585, 269, 634, 2832, 540, 519, 4052, 568, 547, 1353, 519, 4483, 540, 9842, 13232, 533, 1075, 1240, 883, 1965, 7815, 747, 807, 563, 2005, 568, 513, 9764, 5595, 18843, 539, 31252, 543, 814, 476, 28803, 277, 3490, 8424, 269, 634, 5841, 9842, 13232, 533, 1075, 1240, 814, 1044, 16220, 22041, 547, 1331, 476, 272, 513, 5444, 585, 15084, 4187, 547, 18041, 27957, 18041, 678, 267, 543, 476, 273, 513, 5444, 543, 922, 3260, 518, 585, 519, 11747, 914, 698, 531, 716, 657, 573, 848, 22725, 345, 269, 634, 2360, 540, 9842, 13232, 593, 29294, 543, 26737, 15428, 476, 3422, 4367, 9842, 332, 1749, 616, 1507, 9764, 31252, 6675, 602, 1419, 1336, 538, 4551, 538, 1840, 547, 519, 1804, 9764, 31252, 11140, 540, 519, 9190, 15694, 269, 2051, 328, 593, 18041, 27957, 10824, 9727, 7004, 547, 606, 15084, 637, 9665, 26737, 563, 763, 737, 534, 3912, 11142, 4187, 5444, 729, 5833, 689, 513, 533, 16988, 9842, 13232, 269, 634, 2759, 4609, 585, 930, 19231, 11747, 616, 8612, 593, 519, 9842, 13232, 269, 1773, 11047, 573, 546, 19063, 21613, 10446, 540, 519, 9190, 15694, 267, 543, 1082, 9842, 332, 1749, 666, 849, 581, 269, 634, 9842, 332, 1749, 616, 1114, 538, 10688, 543, 8754, 538, 2450, 269, 634, 533, 1075, 1240, 9842, 13232, 1476, 619, 18041, 27957, 4187, 543, 9148, 12889, 538, 269, 634, 7004, 4398, 540, 1025, 2641, 2967, 2281, 568, 476, 272, 1535, 476, 10482, 524, 14673, 269, 966, 26662, 533, 1075, 1240, 543, 533, 1075, 866, 616, 1507, 1164, 32476, 1297, 9842, 332, 1749, 602, 616, 4922, 1031, 585, 28295, 543, 12879, 540, 31252, 15998, 269, 1215, 547, 13861, 9842, 13232, 5299, 1297, 17486, 1125, 6915, 269, 1773, 11047, 573, 5311, 543, 26882, 2102, 324, 8476, 14391, 725, 269, 634, 5551, 9842, 13232, 729, 9112, 676, 7558, 532, 533, 1075, 1240, 543, 533, 16988, 609, 519, 1482, 19231, 11476, 14720, 600, 6062, 543, 12042, 13839, 543, 2538, 908, 519, 2472, 547, 2285, 519, 22041, 533, 1075, 1240, 563, 303, 4206, 4702, 513, 8766, 476, 14093, 276, 536, 335, 28295, 6152, 689, 513, 533, 1075, 1240, 269, 13281, 9842, 13232, 2450, 543, 3160, 24855, 5666, 593, 7004, 4908, 9842, 332, 1749, 941, 5833, 1159, 527, 8047, 267, 18451, 322, 602, 4847, 585, 4152, 519, 2360, 540, 2810, 9842, 13232, 2450, 593, 7004, 4908, 267, 543 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1142, 4090, 543, 972, 616, 1919, 602, 723, 1631, 2097, 547, 1769, 827, 875, 930, 540, 11427, 19413, 779, 3527, 1185, 513, 4625, 1114, 4641, 982, 519, 835, 602, 729, 5156, 547, 581, 3020, 269, 634, 2243, 1287, 568, 875, 1454, 1058, 519, 7820, 5108, 917, 543, 711, 917, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 19051, 267, 543, 519, 2160, 540, 1715, 24900, 269, 634, 1382, 711, 1152, 9060, 513, 10565, 2333, 538, 6777, 6420, 267, 621, 2417, 6941, 4296, 538, 519, 2518, 2916, 1062, 676, 5316, 5024, 519, 2594, 13250, 547, 15911, 7297, 5215, 540, 5195, 2476, 538, 519, 9341, 7414, 543, 4095, 744, 10895, 269, 476, 272, 994, 763, 1353, 9727, 602, 2413, 6777, 6420, 538, 519, 11599, 14522, 16186, 568, 13778, 585, 693, 2547, 519, 2250, 476, 6344, 271, 1296, 543, 2484, 20489, 3339, 13260, 269, 834, 2171, 941, 28280, 950, 649, 1101, 4718, 875, 1454, 6777, 6420, 814, 2799, 2437, 1767, 661, 5341, 744, 3122, 6199, 267, 606, 13930, 7548, 540, 3047, 9443, 693, 667, 691, 17625, 5441, 543, 9030, 31375, 585, 519, 1382, 269, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5353, 4490, 781, 5853, 532, 543, 12618, 257, 607, 851, 540, 834, 19615, 1315, 2136, 2276, 1315, 3557, 1299, 10871, 1315, 7414, 19566, 630, 3036, 267, 26146, 29215, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 7913, 3203, 4065, 256, 901, 1826, 540, 1148, 2636, 596, 547, 1711, 5863, 5961, 267, 6272, 267, 543, 1256, 7044, 1210, 5904, 543, 2027, 2645, 1572, 3301, 269, 1411, 1810, 1405, 991, 1022, 16681, 2326, 899, 5862, 610, 10036, 282, 3079, 267, 596, 666, 960, 609, 4778, 267, 5546, 267, 543, 4992, 1318, 593, 707, 5496, 256, 2913, 781, 2263, 930, 3579, 1919, 596, 666, 798, 538, 3059, 1148, 780, 21760, 7591, 281, 5620, 596, 2479, 24714, 596, 1223, 1689, 519, 4778, 540, 1945, 1175, 676, 14467, 593, 621, 286, 2060, 3059, 1148, 267, 596, 666, 256, 2290, 1187, 3896, 649, 3513, 3643, 568, 1572, 476, 271, 1729, 14838, 269, 5994, 596, 1616, 547, 2721, 513, 4605, 540, 513, 7735, 602, 2242, 2681, 950, 596, 1847, 707, 10856, 936, 621, 1765, 327, 1478, 1533, 269, 4635, 713, 3135, 267, 596, 4584, 835, 2681, 267, 1287, 4945, 513, 1906, 16181, 547, 1265, 14402, 610, 18632, 18707, 269, 3767, 707, 7735, 814, 1114, 4778, 585, 922, 3339, 543, 29964, 2829, 269, 15346, 267, 26001, 31841, 293, 2632, 674, 1066, 5414, 281, 1879, 2870, 19297, 610, 14676, 267, 723, 596, 8068, 875, 1271, 7446, 519, 1318, 1913, 543, 4484, 2511, 568, 286, 2334, 781, 1141, 23935, 2097, 883, 1404, 256, 6056, 540, 873, 607, 4712, 13402, 26897, 7996, 585, 596, 547, 946, 538, 707, 3785, 269, 2311, 4025, 899, 476, 1911, 272, 325, 20184, 267, 596, 666, 3442, 689, 9748, 540, 2189, 23935, 269, 9320, 596, 1616, 2462, 12050, 5022, 585, 513, 2212, 1467, 267, 610, 2220, 597, 569, 7097, 5022, 585, 513, 2027, 5048, 269, 1703, 616, 1100, 7182, 547, 1018, 596, 666, 2769, 998, 1462, 2762, 2439, 20877, 545, 8895, 648, 281, 6884, 267, 596, 1522, 1616, 547, 1039, 16560, 2609, 899, 3515, 267, 3270, 267, 610, 17157, 691, 547, 707, 13144, 269, 9373, 7270, 899, 476, 11277, 10403, 309, 26662, 269, 966, 26662, 616, 12400, 1500, 909, 540, 2241, 12166, 5546, 267, 799, 1797, 789, 1413, 8325, 543, 2312, 693, 1022, 2450, 269, 3245, 6801, 543, 5810, 547, 8075, 543, 6517, 267, 972, 781, 513, 6152, 3239, 585, 3592, 4376, 596, 666, 1589, 540, 256, 2422, 891, 2200, 547, 24996, 909, 707, 11247, 780, 2304, 11582, 24601, 281, 1548, 952, 596, 1223, 3142, 707, 3197, 610, 3615, 547, 1272, 676, 1818, 873, 1847, 2066, 519, 5496, 286, 4270, 267, 1631, 596, 666, 256, 1635, 1565, 14318, 2553, 267, 596, 3513, 1294, 875, 5159, 1711, 2110, 9413, 7406, 676, 7406, 269, 15750, 2572, 899, 476, 274, 291, 23054, 923, 26213, 2709, 18862, 543, 2645, 547, 948, 596, 1205, 3323, 269, 6969, 1279, 267, 596, 3513, 581, 8888, 1285, 520, 1513, 267, 27291, 267, 543, 1256, 19347, 2984, 782, 593, 707, 2780, 780, 20124, 8342, 281, 11146, 2921, 5961, 855, 6999, 596, 1185, 1732, 2081, 547, 12575, 543, 3986, 873, 286, 6744, 856, 8924, 899, 3600, 1941, 269, 1452, 3292, 1577, 596, 7693, 267, 759, 1125, 267, 4188, 21386, 267, 543, 4019, 12086, 547, 707, 6337, 269, 1358, 849, 1450, 596, 547, 9192, 2789, 2592, 883, 2458, 1137, 610, 7499, 15885, 269, 1924, 2436, 596, 1616, 547, 2671, 513, 1582, 773, 610, 13686, 707, 5172, 16314, 5544, 267, 8666, 11049, 2645, 786, 1491, 707, 25135, 32718, 547, 1007, 15627, 2439, 9349, 3213, 951, 281, 1403, 596, 2972, 2542, 2835, 267, 4952, 1373, 2111, 547, 4739, 3750, 2275, 10248, 6227, 585, 873, 269, 5617, 10079, 621, 610, 711, 267, 4609, 899, 1520, 5074, 1683, 17074, 543, 2645, 585, 2870, 3318, 23302, 1433, 6227, 269, 7994, 689, 1585, 11768, 3681, 267, 21160, 519, 1257, 543, 11052, 267, 543, 21350, 10042, 256, 2659, 1360, 1378, 5339, 20100, 19179, 1080, 780, 2026, 596, 4685, 4514, 883, 7913, 3203, 4065, 267, 3314, 602, 2259, 2306, 3356, 269, 5213, 1405, 5855, 827, 4742, 606, 4274, 16074, 282, 1445, 593, 2348, 1187, 3695, 1142, 7121, 543, 8384, 3054, 1332, 2059, 519, 1259, 269, 8414, 2870, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3412, 1137, 267, 29093, 1299, 5071, 267, 23866, 1299, 8535, 267, 11473, 267, 1323, 11582, 267, 21771, 267, 623, 29888, 1231, 267, 8943, 267, 29393, 267, 13088, 267, 4065, 267, 22868, 267, 16179, 1299, 590, 749, 3203, 267, 18877, 454, 12710, 27912, 10396, 4888, 15096, 2177, 10758, 570, 3951, 4041, 645, 5085, 8582, 9215, 8863, 302, 5308, 292, 589, 29640, 9680, 12088, 454, 293, 12767, 5254, 8016, 298, 11682, 5588, 5308, 454, 268, 476, 271, 1729, 14838, 281, 513, 2681, 1907, 602, 2306, 621, 2653, 547, 1769, 523, 543, 4158, 523, 4778, 269, 898, 779, 3501, 585, 29964, 2829, 267, 10665, 267, 27080, 267, 543, 811, 563, 268, 476, 1911, 272, 325, 20184, 281, 5458, 5399, 540, 23935, 454, 268, 476, 1911, 272, 10403, 12606, 338, 281, 20042, 5215, 540, 28370, 1863, 12449, 543, 23935, 585, 2123, 543, 5010, 946, 2336, 268, 476, 11277, 10403, 309, 26662, 281, 700, 17999, 14635, 540, 5131, 21070, 3203, 267, 21070, 16103, 267, 21070, 18753, 8249, 267, 1849, 760, 3203, 267, 16503, 5928, 267, 9931, 17549, 17461, 5071, 338, 585, 2353, 5131, 20042, 563, 268, 476, 274, 291, 23054, 923, 26213, 281, 1374, 707, 1378, 27515, 543, 12449, 630, 822, 520, 1513, 267, 27291, 267, 6227, 267, 2186, 548, 1433, 6227, 267, 1102, 16623, 267, 4282, 2592, 267, 543, 865, 1454, 811, 994, 268, 476, 4335, 29210, 281, 8666, 19458, 630, 321, 8500, 543, 6133, 267, 3309, 6163, 543, 11964, 1472, 519, 1158, 994, 268, 3600, 1941, 281, 8666, 11049, 813, 563, 268, 1520, 5074, 281, 5131, 1433, 3382, 20536, 563, 268, 16989, 294, 3726, 541, 27832, 976, 281, 3362, 22848, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19445, 3203, 4065, 257, 607, 851, 540, 834, 11286, 1315, 5530, 1299, 9752, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 5851, 14527, 910, 7849, 28057, 585, 18127, 10266, 692, 5970, 596, 2479, 1185, 513, 15677, 602, 1175, 9327, 1405, 979, 2476, 286, 2107, 6148, 513, 15319, 4887, 602, 19388, 619, 1279, 1310, 4730, 5026, 286, 6884, 267, 891, 31191, 543, 24074, 6529, 1472, 3476, 982, 649, 1131, 899, 873, 547, 267, 1256, 950, 649, 1491, 11955, 547, 1745, 1732, 269, 901, 568, 1141, 1753, 14527, 2501, 883, 1404, 256, 898, 3091, 721, 1776, 1259, 547, 4383, 5312, 1928, 1210, 2067, 14319, 269, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 780, 1432, 568, 5851, 14527, 888, 2411, 21387, 5331, 952, 972, 729, 513, 1259, 547, 1521, 10108, 609, 6263, 13066, 540, 6878, 1336, 538, 2470, 1107, 1919, 899, 2371, 543, 6886, 269, 2334, 781, 4010, 1018, 1753, 14527, 1281, 256, 31603, 936, 476, 1220, 1296, 3516, 267, 621, 13333, 896, 519, 6240, 540, 834, 3697, 524, 999, 899, 2437, 799, 1797, 602, 1507, 5666, 540, 1945, 602, 3123, 2589, 538, 513, 2635, 1268, 666, 2965, 14867, 1346, 1482, 2589, 538, 2576, 945, 568, 7210, 269, 1280, 1383, 267, 6995, 2337, 1832, 1004, 25805, 267, 855, 950, 5423, 538, 513, 2027, 1259, 607, 513, 1753, 24403, 16185, 267, 621, 1223, 5732, 5351, 20026, 269, 27355, 28847, 3383, 875, 798, 789, 2490, 6995, 883, 513, 5363, 3207, 5351, 286, 3414, 8920, 1081, 543, 13151, 15664, 267, 1079, 1898, 3157, 538, 1818, 1753, 24403, 14319, 269, 667, 559, 1081, 3322, 11544, 519, 6219, 14578, 609, 1216, 2394, 15991, 1022, 6675, 2611, 269, 2672, 764, 15664, 568, 24373, 519, 7848, 25525, 3585, 1063, 1142, 8920, 1081, 3942, 269, 5080, 29418, 2614, 267, 930, 3744, 3494, 602, 713, 1505, 791, 29251, 1344, 827, 519, 3312, 6219, 5196, 519, 1216, 1282, 713, 7041, 1184, 269, 4014, 1869, 23503, 1369, 519, 3621, 2146, 267, 1082, 2043, 5001, 723, 4810, 8323, 998, 1753, 14527, 780, 12709, 24403, 3816, 12203, 585, 18127, 10266, 454, 5785, 19030, 3086, 1577, 781, 1445, 4481, 593, 5883, 5312, 1928, 609, 1753, 14527, 269, 1879, 938, 4703, 1995, 5571, 9636, 267, 2436, 1813, 547, 5945, 267, 6553, 267, 610, 2068, 267, 938, 4761, 1062, 1568, 2182, 547, 2232, 519, 3390, 269, 1717, 267, 3006, 621, 2115, 3063, 1489, 269, 9373, 1753, 24403, 14319, 256, 1635, 18398, 519, 1560, 781, 2067, 2702, 547, 12115, 267, 891, 9543, 5574, 949, 1683, 13455, 8323, 585, 1585, 2010, 540, 5312, 1928, 780, 2080, 616, 1614, 1455, 1753, 24403, 14319, 1031, 585, 5466, 1114, 5686, 540, 10770, 1928, 1384, 2162, 476, 272, 269, 23172, 3821, 23497, 692, 15761, 26167, 689, 513, 1826, 540, 7823, 546, 24387, 267, 23172, 3821, 23497, 814, 1044, 8246, 585, 5553, 547, 13468, 20015, 2478, 267, 838, 23230, 267, 543, 16757, 31191, 269, 4706, 4550, 13611, 3601, 666, 2569, 11926, 1247, 5009, 5488, 6051, 689, 7063, 269, 1924, 1985, 942, 596, 18417, 29424, 883, 1945, 610, 6335, 707, 21721, 1282, 15547, 1362, 267, 2015, 4758, 23172, 3821, 513, 2119, 2439, 2162, 476, 273, 269, 10910, 639, 24768, 30705, 1258, 630, 22437, 2581, 594, 11803, 2020, 8133, 267, 596, 1224, 602, 1318, 256, 7313, 2581, 17488, 344, 3568, 14984, 7135, 602, 666, 8897, 4745, 20765, 543, 12263, 1928, 950, 5423, 607, 513, 1753, 24403, 16185, 269, 1403, 596, 1265, 3054, 10010, 609, 13888, 267, 11213, 10549, 2390, 24971, 909, 610, 1310, 12675, 5712, 540, 1964, 267, 10910, 639, 1677, 343, 1522, 581, 4502, 3695, 269, 3807, 3314, 2760, 547, 5905, 8914, 17488, 344, 2047, 282, 2141, 5077, 513, 3782, 3318, 1354, 4358, 1022, 1007, 2126, 780, 2162, 476, 274, 269, 13852, 611, 30358, 692, 32056, 1882, 689, 14686, 17334, 327, 1228, 267, 1810, 1405, 5855, 1107, 11350, 611, 30358, 568, 2922, 538, 922, 3810, 29809, 1106, 256, 19612, 585, 922, 4028, 12614, 2962, 267, 11350, 611, 30358, 3927, 13000, 31462, 25290, 14331, 543, 8325, 14159, 24074, 269, 5901, 538, 2247, 602, 713, 16185, 568, 1034, 5078, 585, 7920, 267, 8650, 1928, 2864, 982, 7646, 267, 3586, 9636, 780, 1692, 547, 2422, 5851, 24403, 3816, 12203, 15822, 569, 454, 5785, 19567, 6524, 4098, 1022, 1753, 24403, 20786, 267, 5077, 609, 513, 11727, 19995, 945, 666, 3391, 596, 1759, 593, 707, 1808, 2115, 543, 1072, 1686, 269, 2755, 3622, 2808, 2922, 267, 16789, 6165, 1522, 1291, 547, 6397, 2164, 610, 4205, 609, 824, 6527, 269, 11408, 1246, 6003, 5528, 5402, 543, 2226, 1930, 2792, 609, 707, 3782, 8502, 780, 1103, 3932, 267, 8508, 1753, 14527, 2636, 721, 547, 2263, 4244, 2409, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 264, 2069, 269, 4841, 666, 1374, 543, 476, 274, 291, 1820, 3615, 267, 7393, 741, 1620, 540, 2035, 563, 268, 21826, 5019, 19685, 281, 12409, 5238, 666, 8415, 476, 274, 291, 8228, 585, 4028, 1486, 19685, 540, 2875, 3785, 269, 901, 2636, 1053, 547, 621, 4733, 543, 2087, 741, 6272, 1354, 3803, 2504, 563, 268, 26277, 13929, 17738, 281, 6481, 543, 7350, 1053, 666, 4324, 689, 476, 274, 291, 9102, 26715, 3631, 267, 799, 1683, 513, 10853, 6041, 540, 519, 1480, 1560, 269, 901, 11226, 538, 3308, 1944, 1950, 3889, 543, 1949, 563, 268, 3203, 543, 5071, 4065, 281, 5410, 1438, 5663, 12857, 1053, 547, 1007, 7499, 543, 1374, 7399, 269, 1358, 666, 2263, 519, 5137, 540, 476, 274, 291, 18810, 267, 14446, 267, 543, 6198, 3615, 267, 5807, 5876, 543, 5647, 563, 268, 7177, 18768, 281, 7177, 1053, 666, 15407, 19605, 5663, 547, 3142, 741, 1374, 3785, 547, 1272, 269, 898, 2636, 585, 519, 2504, 540, 6198, 30384, 543, 4152, 540, 2035, 563, 11767, 24287, 543, 9012, 454, 268, 7981, 12186, 543, 1160, 1186, 281, 5410, 1438, 5663, 4249, 513, 2629, 1909, 538, 519, 9913, 2872, 267, 1141, 2143, 605, 1186, 543, 2027, 2360, 616, 2838, 269, 898, 6087, 519, 2504, 540, 10853, 543, 6946, 3615, 585, 9413, 267, 7641, 2982, 267, 543, 16222, 563, 268, 15328, 2452, 281, 15328, 2452, 619, 4324, 689, 476, 274, 291, 8228, 267, 3850, 873, 547, 1711, 4977, 543, 6946, 24853, 543, 17960, 269, 901, 10597, 519, 2949, 1995, 543, 23477, 540, 5430, 2452, 563, 268, 11814, 17156, 281, 634, 2445, 17156, 2344, 814, 17947, 19605, 5663, 267, 607, 621, 6087, 519, 2504, 540, 3908, 7160, 543, 3810, 2143, 19562, 1149, 267, 25584, 267, 543, 8357, 8494, 807, 563, 268, 14044, 18712, 7457, 1559, 281, 5410, 1438, 5663, 666, 1683, 2688, 17960, 585, 5691, 4641, 3457, 267, 971, 607, 7463, 27196, 543, 23908, 21978, 3986, 906, 269, 901, 10597, 519, 15138, 1995, 563, 268, 20308, 3203, 12305, 725, 281, 20551, 543, 2923, 12696, 666, 8415, 476, 274, 291, 8228, 547, 1711, 7317, 1148, 19698, 267, 16471, 2029, 543, 2168, 3615, 547, 4497, 9458, 538, 2189, 543, 15138, 2081, 563, 268, 25841, 17904, 281, 5410, 1438, 5663, 2636, 585, 593, 24683, 663, 2504, 267, 10893, 3653, 2404, 609, 2527, 5663, 543, 7050, 11891, 563, 268, 19889, 6363, 7037, 10049, 281, 12824, 616, 3695, 519, 946, 540, 811, 4264, 2326, 267, 971, 607, 2030, 2861, 610, 13381, 15229, 267, 585, 476, 274, 291, 8228, 269, 901, 6971, 519, 8733, 1764, 540, 19605, 5663, 563, 268, 10871, 13870, 281, 1635, 5663, 2472, 12725, 1210, 476, 274, 291, 8228, 267, 6283, 5829, 5434, 666, 581, 3648, 4389, 269, 901, 8309, 547, 513, 811, 4264, 543, 13476, 7874, 3761, 5832, 563, 268, 29766, 543, 5455, 19464, 281, 5410, 1438, 5663, 16881, 519, 7816, 543, 909, 19464, 540, 5370, 267, 14178, 741, 14438, 543, 4227, 519, 991, 585, 1007, 2472, 269, 901, 8992, 513, 811, 9764, 4346, 543, 6971, 3653, 563, 268, 6052, 21252, 281, 9521, 2757, 5663, 3157, 267, 19605, 5663, 666, 581, 811, 1648, 18026, 267, 607, 621, 1152, 18252, 519, 2556, 2179, 540, 1570, 2838, 585, 2504, 563, 11754, 1438, 5663, 814, 19117, 4948, 1272, 267, 18363, 6080, 971, 607, 3782, 267, 16669, 267, 7082, 5370, 267, 6189, 267, 6752, 267, 2069, 267, 9913, 267, 543, 6940, 269, 3245, 10531, 14382, 12060, 547, 16419, 6752, 543, 4264, 4070, 267, 713, 2029, 5170, 547, 2981, 1585, 3344, 540, 938, 2729, 269, 1306, 476, 274, 291, 8228, 2029, 8441, 543, 3587, 811, 3015, 267, 649, 666, 2503, 547, 7198, 1256, 811, 5499, 3156, 543, 2640, 538, 519, 2104, 563, 2108, 11754, 1438, 19007, 281, 476, 274, 291, 24614, 1848, 8331, 269, 13439, 320, 10993, 454, 22081, 476, 274, 291, 24614, 1772, 7169, 1944, 519, 14825, 12067, 12752, 1848, 1280, 15816, 269, 585, 15816, 2593, 454, 2108, 11754, 1438, 19007, 538, 16195, 1848, 25832, 18669, 269, 949, 665, 4802, 545, 3820, 454, 2108, 11754, 1438, 19007, 538, 15339, 1848, 634, 5948, 540, 2051, 5586, 5573, 12140, 540, 15339, 269, 1035, 21542, 268, 1105, 3820, 454, 10527, 8892, 540, 22960, 281, 3245, 5071, 547, 4825, 841, 2060, 476, 274, 291, 24614, 1848, 22960, 18197, 269, 6752, 684, 1243, 2593, 454, 10527, 8177, 540, 476, 274, 291, 24614, 593, 4065, 1848, 3798, 24728, 18225, 269, 1196, 27700, 332, 698, 8872, 2593, 454, 10527, 10020, 540, 476, 274, 291, 24614, 538, 519, 30007, 12752, 1848, 6355, 6184, 3187, 269, 1870, 1231, 3187, 2593, 454, 2108, 306, 7739, 1464, 543, 5410, 1438, 19007, 1848, 4750, 540, 11162, 518, 13870, 269, 1414, 10642, 1311, 2593, 0, 16665, 2055, 609, 4267, 454, 2171, 616, 4280, 547, 4194, 585, 519, 5860, 630, 514, 10101, 829, 1984, 559, 3438, 264, 540, 804, 1478, 9932, 2016, 519, 1739, 1344, 912, 24127, 540, 476, 272, 7484, 815, 476, 18597, 20853, 7136, 540, 9932, 538, 519, 7484, 815, 476, 21857, 575, 2920, 783, 4320, 13026, 676, 519, 9932, 815, 476, 382, 378, 540, 519, 7484, 454, 2026, 8612, 267, 649, 4194, 585, 519, 5860, 1210, 519, 4542, 912, 763, 3804, 540, 713, 3635, 568, 547, 3313, 519, 5860, 540, 804, 1478, 9932, 2016, 602, 1614, 20453, 540, 513, 7484, 540, 621, 814, 513, 2527, 540, 476, 21857, 575, 563, 27775, 2105, 1837, 3435, 454, 5415, 1644, 2055, 0, 7473, 1695, 781, 2011, 10866, 3778, 454, 2791, 949, 581, 14281, 547, 1451, 602, 519, 3983, 2011, 2298, 602, 5127, 5271, 2812, 519, 30520, 2059, 519, 12984, 2255, 13571, 568, 1732, 982, 1022, 942, 2094, 476, 6642, 271, 269, 2334, 729, 519, 1101, 1032, 602, 8298, 534, 27508, 729, 2111, 547, 3713, 1018, 2968, 513, 7708, 557, 540, 2984, 543, 6337, 25967, 1819, 676, 519, 6161, 18096, 985, 1185, 585, 519, 1198, 540, 3983, 2011, 593, 1857, 1072, 563, 288, 2916, 543, 1648, 25566, 693, 18096, 11162, 6052, 543, 28337, 12200, 693, 519, 2160, 540, 18096, 781, 4972, 540, 27321, 7070, 267, 27508, 814, 2813, 513, 3059, 21287, 8858, 827, 519, 1686, 540, 2825, 1143, 538, 519, 2142, 12317, 633, 3557, 269, 634, 8858, 267, 2143, 538, 513, 1650, 593, 918, 20784, 7641, 267, 2882, 6402, 547, 6337, 543, 4930, 543, 21040, 593, 513, 1382, 1957, 27508, 5206, 2063, 1032, 563, 29467, 729, 2141, 606, 4656, 602, 713, 729, 3983, 585, 938, 1072, 2223, 646, 1767, 540, 15137, 344, 2011, 563, 763, 1650, 799, 513, 1600, 4728, 476, 2420, 5170, 281, 834, 2691, 646, 1101, 22002, 519, 2243, 267, 646, 2219, 267, 6148, 5533, 1185, 1831, 513, 1857, 3390, 538, 519, 2063, 8717, 610, 1079, 269, 1306, 646, 1085, 10696, 519, 21517, 267, 646, 4362, 2011, 2298, 814, 1044, 513, 10770, 6161, 607, 1279, 607, 1004, 723, 5030, 593, 519, 12984, 2255, 13571, 4799, 763, 3778, 540, 5794, 10866, 538, 18096, 3059, 8858, 20502, 31150, 2326, 689, 519, 772, 781, 808, 269, 4024, 731, 3057, 686, 2714, 7732, 7981, 26888, 543, 3140, 11356, 4930, 689, 519, 18096, 7913, 1715, 4944, 3639, 1788, 607, 1134, 607, 689, 824, 21517, 2066, 519, 1533, 563, 5649, 519, 1650, 827, 519, 8858, 593, 7711, 1492, 308, 269, 0, 4263, 513, 6519, 5600, 3377, 10554, 538, 5412, 476, 1960, 275, 267, 1287, 268, 4785, 18874, 2489, 595, 269, 31231, 1777, 918, 17274, 9307, 513, 3084, 2597, 2000, 1601, 1982, 267, 19101, 602, 8377, 1185, 1831, 519, 2197, 779, 2034, 6122, 8172, 2014, 540, 9019, 267, 968, 14310, 532, 538, 10199, 476, 4968, 267, 1822, 2729, 4503, 1142, 1032, 3034, 1607, 729, 519, 1376, 540, 519, 18802, 779, 1279, 543, 3879, 686, 748, 4876, 269, 634, 1297, 729, 11855, 676, 533, 1495, 1080, 543, 4966, 7567, 547, 11168, 519, 8515, 540, 519, 968, 984, 7295, 6855, 1848, 898, 729, 1031, 538, 5873, 902, 1354, 519, 5253, 543, 10684, 10029, 585, 2597, 2000, 1601, 5061, 609, 7334, 3106, 12632, 269, 2290, 4915, 267, 32609, 325, 523, 22381, 1090, 710, 630, 16446, 5060, 1070, 729, 5555, 3144, 1055, 519, 2344, 1813, 547, 2295, 11896, 3441, 538, 2550, 269, 6271, 267, 521, 756, 583, 1090, 710, 630, 30560, 573, 807, 1070, 729, 3144, 1055, 519, 2344, 1317, 621, 729, 5532, 547, 606, 2799, 1981, 540, 2295, 6285, 543, 18116, 563, 5475, 513, 8717, 267, 519, 1297, 1185, 24111, 547, 827, 476, 6110, 267, 1822, 28896, 1813, 547, 8377, 267, 609, 23004, 602, 621, 1131, 4166, 9765, 3368, 513, 2929, 1765, 893, 569, 476, 736, 260, 540, 782, 5993, 7972, 538, 519, 2136, 2276, 269, 1717, 267, 676, 476, 1220, 276, 267, 891, 9583, 31837, 25236, 762, 5515, 1185, 1044, 20328, 269, 918, 15811, 674, 29729, 267, 513, 9972, 10196, 693, 519, 15544, 585, 8376, 6513, 543, 10644, 693, 519, 942, 543, 2221, 835, 540, 519, 1034, 26518, 16917, 328, 5505, 538, 1200, 3924, 267, 729, 519, 18802, 20740, 563, 293, 29729, 3366, 513, 1353, 547, 1732, 1174, 519, 2078, 1063, 1560, 2450, 543, 9019, 267, 799, 7000, 1945, 1082, 3744, 11652, 9090, 519, 2489, 1857, 1765, 323, 573, 711, 2503, 281, 519, 21496, 2669, 17167, 689, 8377, 729, 1175, 936, 476, 1911, 267, 1822, 269, 4634, 811, 10578, 267, 7606, 945, 941, 9286, 607, 24802, 968, 1478, 7076, 892, 5030, 3476, 982, 1346, 945, 941, 9286, 607, 968, 7538, 892, 2597, 269, 630, 3383, 267, 950, 519, 14968, 543, 17324, 6688, 941, 5916, 1927, 267, 519, 2698, 729, 896, 476, 2918, 267, 1822, 28896, 267, 607, 538, 1991, 1382, 8094, 15463, 960, 12582, 1406, 723, 1500, 971, 513, 14815, 538, 519, 1101, 1747, 269, 898, 729, 20483, 676, 519, 15509, 543, 6462, 676, 3606, 2090, 630, 527, 1256, 3893, 513, 8176, 595, 269, 2701, 335, 731, 3163, 13815, 538, 476, 1220, 277, 267, 835, 540, 519, 8116, 779, 5207, 21441, 1040, 6736, 713, 267, 519, 1353, 729, 20888, 609, 513, 3046, 14141, 540, 25949, 543, 9880, 563, 2108, 10144, 941, 10912, 20859, 6619, 540, 942, 267, 6031, 938, 2376, 729, 20203, 2223, 674, 29729, 6941, 269, 968, 5978, 4681, 17275, 7521, 1317, 2576, 729, 3168, 585, 513, 4339, 3034, 14303, 549, 7797, 6887, 909, 609, 11660, 1977, 538, 713, 2110, 17245, 547, 1413, 693, 875, 1560, 2450, 12886, 666, 3310, 519, 2055, 3744, 1382, 543, 519, 1344, 1004, 3494, 547, 581, 4977, 16638, 519, 31713, 2361, 540, 8377, 1382, 267, 14868, 267, 20887, 267, 543, 12886, 616, 24245, 543, 14916, 13006, 269, 1358, 616, 29103, 1229, 267, 2687, 547, 674, 29729, 267, 676, 6848, 2597, 16663, 543, 519, 14453, 543, 2597, 2000, 1601, 4213, 685, 2883, 4690, 269, 2701, 5170, 267, 968, 763, 3003, 1641, 540, 1560, 2597, 543, 8377, 814, 1831, 5393, 2352, 547, 8495, 23963, 1848, 968, 2467, 779, 513, 2603, 540, 7553, 3238, 267, 543, 513, 2603, 540, 1114, 4690, 3034, 763, 1340, 539, 968, 4968, 267, 1822, 28896, 892, 18802, 267, 5103, 519, 9000, 540, 5885, 5013, 267, 20866, 2729, 593, 2221, 607, 606, 1383, 540, 519, 16177, 540, 1266, 11712, 8456, 3823, 8377, 269, 898, 814, 7902, 538, 6644, 4773, 538, 519, 10830, 267, 519, 6115, 5403, 267, 543, 513, 1297, 540, 2199, 12326, 538, 519, 2063, 1032, 269, 630, 7197, 723, 1031, 519, 2657, 10803, 4741, 540, 519, 4639, 9098, 4972, 540, 2657, 267, 799, 18387, 1406, 1044, 8242, 2094, 476, 1220, 274, 4700, 898, 779, 1044, 5018, 538, 7986, 2564, 13746, 267, 1072, 10274, 267, 543, 1256, 513, 18322, 1308, 3915, 5063, 269, 898, 779, 849, 513, 2442, 3903, 1851, 2597, 2000, 1601, 19190, 2066, 519, 2197, 563, 293, 29729, 11099, 602, 968, 15161, 616, 1175, 811, 6899, 609, 513, 3152, 1297, 9789, 344, 4782, 621, 547, 581, 3677, 1848, 968, 296, 1810, 1406, 3494, 9636, 1058, 581, 2808, 513, 3815, 538, 2257, 267, 855, 594, 3494, 621, 814, 513, 3677, 1764, 982, 649, 1174, 3034, 289, 5362, 544, 3291, 956, 519, 3621, 1184, 269, 769, 6484, 2257, 543, 4915, 267, 713, 9186, 3335, 18922, 547, 519, 3661, 602, 1373, 25182, 568, 1732, 267, 543, 602, 1373, 2960, 333, 1512, 568, 8902, 269, 1879, 519, 5013, 2408, 547, 17591, 602, 840, 1410, 12371, 1523, 267, 519, 8360, 968, 984, 7295, 19433, 892, 568, 4749, 1031, 547, 4766, 519, 3510, 563, 2108, 2791, 666, 30035, 519, 1482, 8377, 4681, 476, 1911, 2053, 543, 621, 786, 2141, 581, 17941, 2048, 684, 1410, 4624, 2223, 8591, 674, 29729, 269, 968, 4263, 1018, 1448, 1131, 596, 1689, 707, 2070, 543, 2161, 713, 949, 581, 519, 4397, 6364, 18313, 1607, 865, 10777, 19433, 814, 1044, 4767, 538 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6055, 540, 4606, 8915, 538, 4890, 2833, 269, 901, 8772, 5123, 568, 7553, 779, 3056, 4082, 538, 1483, 1272, 267, 519, 6388, 540, 3929, 4656, 267, 12588, 598, 4038, 1242, 883, 21055, 2702, 563, 10387, 10056, 779, 968, 338, 839, 725, 892, 666, 581, 4857, 543, 16913, 998, 741, 2185, 9912, 1646, 883, 6857, 4606, 269, 901, 3929, 6616, 568, 519, 3483, 995, 1883, 547, 3811, 1272, 4093, 269, 769, 8236, 891, 3268, 267, 585, 3236, 267, 676, 8026, 11009, 267, 968, 325, 3881, 1995, 892, 7586, 5809, 3929, 5813, 563, 10387, 10056, 2773, 13345, 2982, 875, 3929, 6616, 3587, 13533, 3929, 7924, 9789, 27715, 540, 3929, 4987, 269, 31802, 267, 3483, 267, 543, 513, 2631, 540, 2495, 10069, 1125, 835, 547, 3035, 835, 781, 3853, 610, 6859, 998, 28365, 2962, 563, 13295, 267, 1565, 3929, 4987, 568, 2009, 676, 2898, 27329, 569, 968, 14708, 2631, 540, 7553, 1848, 30248, 616, 2937, 2623, 267, 543, 3929, 7924, 12651, 3048, 908, 4664, 547, 513, 15400, 2534, 540, 3232, 2713, 563, 21595, 332, 1512, 328, 267, 589, 1421, 22513, 663, 14162, 267, 918, 269, 595, 1421, 595, 926, 565, 6737, 267, 962, 1421, 21890, 514, 321, 889, 267, 808, 269, 681, 1421, 25554, 520, 648, 267, 590, 1421, 24162, 267, 808, 269, 808, 269, 630, 1708, 273, 1040, 32313, 19938, 538, 5369, 17871, 543, 15465, 5174, 324, 6409, 21831, 531, 10657, 281, 1323, 6715, 13577, 21887, 269, 11916, 11671, 17595, 17226, 267, 476, 866, 263, 273, 1070, 476, 9818, 268, 13647, 563, 301, 514, 643, 12000, 328, 267, 7671, 3627, 630, 1001, 278, 1040, 10435, 23281, 540, 32313, 281, 11627, 908, 16508, 11106, 269, 28469, 5069, 267, 11022, 281, 18007, 2006, 1299, 9741, 7615, 563, 301, 514, 643, 12000, 328, 267, 7671, 3627, 630, 1708, 271, 1040, 3231, 2740, 24238, 281, 4284, 6509, 22580, 543, 11022, 25682, 269, 1715, 3840, 267, 12924, 281, 29021, 270, 10907, 27854, 4964, 563, 2704, 517, 21532, 267, 654, 269, 645, 269, 630, 1708, 271, 1040, 634, 8177, 540, 16508, 11106, 593, 16763, 13437, 4438, 5046, 268, 866, 19822, 281, 589, 9061, 268, 4089, 531, 5811, 269, 10017, 1382, 543, 2623, 2359, 267, 476, 1724, 267, 476, 278, 5392, 1700, 4037, 278, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 20969, 278, 270, 11266, 13696, 2529, 28091, 4792, 277, 454, 301, 514, 643, 12000, 328, 267, 7671, 3627, 630, 1001, 274, 1040, 29119, 1581, 4132, 4886, 281, 21126, 593, 10017, 543, 9977, 532, 269, 28469, 5069, 267, 11022, 281, 18007, 2006, 1299, 9741, 7615, 563, 302, 685, 289, 1195, 548, 267, 661, 13034, 1421, 12789, 1421, 9966, 874, 9445, 267, 681, 13034, 1421, 15724, 871, 267, 808, 8160, 1421, 8316, 591, 267, 570, 13034, 1421, 543, 9452, 267, 623, 6993, 269, 630, 1001, 272, 1070, 634, 6935, 1063, 3929, 4987, 543, 2816, 2773, 281, 589, 13849, 20400, 269, 808, 269, 5029, 714, 269, 20409, 1421, 476, 3953, 281, 476, 4281, 279, 268, 279, 1240, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 273, 10768, 984, 269, 278, 1691, 454, 21946, 913, 344, 267, 623, 1421, 2904, 518, 267, 808, 1421, 543, 2961, 639, 334, 267, 667, 269, 968, 10387, 10899, 4987, 281, 7869, 267, 4681, 267, 543, 6286, 2223, 16723, 769, 11431, 269, 476, 1428, 267, 1100, 269, 476, 274, 630, 1220, 275, 2567, 476, 3192, 563, 306, 9774, 788, 334, 601, 267, 590, 1421, 543, 2826, 345, 267, 700, 269, 630, 1001, 278, 1040, 16508, 11106, 543, 14288, 13437, 269, 10201, 566, 4750, 267, 630, 736, 1070, 476, 14378, 268, 6642, 269, 8158, 689, 4179, 2517, 30394, 11594, 16896, 345, 333, 28482, 269, 5633, 27651, 21703, 270, 810, 320, 270, 14835, 270, 1613, 270, 279, 2641, 0, 5522, 13589, 1007, 11922, 267, 2371, 610, 5388, 666, 581, 513, 1483, 4161, 267, 2523, 538, 606, 1858, 540, 707, 3959, 1141, 596, 2760, 1185, 513, 4677, 5127, 1354, 269, 1306, 1279, 607, 596, 1491, 1697, 1416, 540, 519, 3037, 543, 5965, 621, 25656, 267, 2705, 267, 596, 12582, 1406, 723, 1022, 7411, 538, 1818, 707, 1007, 4677, 1020, 543, 8853, 18991, 912, 268, 6969, 596, 1256, 2015, 9544, 4376, 267, 596, 723, 547, 2708, 519, 1072, 543, 9063, 2157, 540, 707, 3037, 269, 12567, 3037, 3335, 3340, 513, 9063, 1871, 540, 1472, 476, 278, 267, 4352, 4470, 593, 519, 2010, 540, 2371, 596, 1522, 1616, 547, 946, 267, 621, 666, 581, 513, 1434, 2856, 547, 723, 513, 5594, 22279, 610, 5594, 15755, 3037, 563, 268, 6226, 856, 1022, 18047, 543, 4894, 1022, 15468, 3762, 952, 2556, 269, 3973, 596, 666, 1376, 3206, 827, 9544, 543, 7311, 513, 2731, 1434, 5214, 13226, 269, 3807, 1118, 2386, 519, 1826, 540, 13226, 543, 11003, 596, 946, 4422, 1134, 609, 519, 9063, 540, 707, 3037, 543, 609, 519, 2010, 540, 11922, 596, 1544, 593, 9544, 563, 268, 589, 4733, 707, 3037, 543, 1118, 2386, 519, 13226, 596, 946, 666, 3914, 519, 5072, 540, 707, 9241, 12630, 5452, 543, 19211, 811, 3927, 269, 4014, 7098, 908, 568, 2808, 5631, 607, 513, 1259, 547, 2087, 707, 15989, 779, 6043, 2157, 267, 621, 666, 849, 798, 13300, 585, 707, 4677, 2371, 543, 12630, 7031, 269, 1411, 666, 946, 513, 20857, 23643, 610, 513, 838, 1228, 547, 3927, 513, 4733, 707, 4677, 5127, 269, 0, 10908, 817, 6775, 18674, 5068, 630, 293, 14641, 264, 568, 849, 1572, 717, 14641, 267, 3622, 4016, 547, 519, 12432, 10050, 665, 539, 676, 4837, 6775, 543, 5667, 18260, 4874, 6856, 267, 3134, 20293, 18300, 543, 4307, 4301, 18300, 5119, 269, 22365, 1721, 1027, 15229, 602, 946, 4837, 6775, 610, 922, 2472, 607, 17923, 2326, 616, 1572, 4837, 6775, 18674, 15229, 269, 9603, 547, 519, 1114, 2010, 540, 759, 1231, 1031, 267, 972, 616, 4874, 6856, 674, 14641, 267, 3134, 20293, 674, 14641, 267, 543, 4307, 4301, 674, 14641, 269, 674, 14641, 723, 1082, 5383, 971, 607, 17426, 543, 2182, 267, 1875, 8410, 2265, 633, 267, 1164, 7344, 4222, 267, 543, 14809, 4187, 269, 898, 666, 5372, 5374, 547, 5478, 3684, 2694, 267, 18914, 543, 6928, 16115, 267, 3092, 563, 11901, 290, 4016, 547, 519, 7623, 4874, 9109, 2643, 17296, 538, 519, 3114, 2872, 269, 12443, 9109, 2643, 17296, 568, 519, 1034, 4922, 1031, 2495, 540, 31668, 543, 621, 568, 513, 1875, 2275, 31051, 710, 1570, 269, 15519, 573, 31668, 568, 835, 540, 519, 1034, 4922, 1031, 5068, 2326, 563, 763, 3017, 1063, 31668, 543, 674, 14641, 281, 634, 5449, 568, 4874, 9109, 2643, 17296, 5068, 267, 799, 568, 519, 10464, 652, 5068, 267, 5631, 1031, 607, 1216, 12992, 543, 10824, 269, 898, 568, 711, 2178, 9444, 2182, 267, 666, 581, 24268, 676, 8022, 267, 543, 814, 513, 533, 2426, 550, 9329, 269, 769, 9205, 1604, 267, 519, 1966, 540, 10172, 4187, 568, 849, 1360, 3978, 267, 799, 2306, 31668, 2326, 1732, 547, 581, 1031, 585, 11255, 23732, 269, 774, 7887, 5413, 540, 31668, 568, 922, 1970, 1942, 267, 2656, 10380, 543, 10375, 6283, 269, 1717, 922, 14438, 568, 2110, 543, 2653, 547, 3441, 563, 293, 14641, 814, 2362, 4222, 543, 21052, 3379, 547, 31668, 2326, 269, 11531, 31668, 814, 1279, 14438, 609, 1906, 5826, 267, 849, 2656, 10380, 543, 10375, 6283, 547, 4688, 4070, 1942, 269, 769, 1840, 267, 674, 7968, 814, 1434, 12644, 593, 14809, 4187, 267, 4922, 1031, 538, 1216, 2126, 2371, 267, 9023, 20610, 543, 3114, 15327, 547, 9290, 10728, 14809, 1604, 269, 0, 20458, 1689, 543, 1072, 910, 634, 3463, 454, 763, 3486, 1560, 585, 12570, 519, 2257, 1644, 547, 2916, 1689, 5950, 513, 9295, 547, 922, 25004, 10495, 7797, 267, 8693, 7827, 476, 1001, 275, 281, 28620, 267, 9542, 543, 13438, 538, 962, 758, 2129, 4821, 2063, 11728, 563, 16240, 538, 634, 22062, 566, 267, 9622, 7978, 7905, 20900, 5062, 28061, 540, 519, 8241, 2817, 2160, 543, 20485, 2051, 514, 30215, 543, 24796, 7200, 1047, 7137, 787, 540, 519, 2160, 540, 2052, 828, 571, 2161, 519, 4539, 540, 1480, 12454, 2518, 2916, 1689, 607, 713, 2540, 22264, 786, 581, 2647, 8573, 4474, 910, 689, 23229, 538, 6237, 1426, 11729, 267, 15195, 22520, 543, 3441, 547, 17260, 689, 3665, 4365, 2621, 547, 519, 2530, 540, 3110, 3386, 267, 2523, 9381, 267, 2244, 563, 763, 1592, 4422, 593, 281, 2242, 538, 11763, 2068, 3270, 543, 519, 2790, 1072, 4539, 540, 8194, 267, 2530, 267, 12761, 543, 4199, 4655, 269, 634, 1480, 1072, 3184, 538, 519, 2034, 4320, 540, 519, 7379, 6717, 781, 1867, 20147, 602, 519, 3621, 2963, 540, 1082, 1699, 543, 2104, 4220, 547, 1072, 814, 22541, 538, 2487, 1296, 563, 2750, 12488, 908, 840, 25365, 1072, 2042, 454, 7628, 693, 2547, 519, 1985, 1906, 5756, 267, 519, 3184, 2829, 267, 834, 30873, 1689, 786, 5631, 1860, 1480, 1072, 267, 2068, 543, 2669, 676, 12615, 908, 840, 25365, 1072, 2042, 563, 10454, 4102, 5222, 786, 2049, 538, 25013, 543, 7925, 5095, 543, 2950, 1141, 2916, 25259, 10108, 971, 607, 896, 5991, 9173, 543, 11591, 21539, 531, 2068, 616, 2907, 1164, 910, 3976, 11097, 2287, 2417, 519, 1158, 781, 1072, 13103, 4799, 763, 1614, 3081, 602, 4867, 267, 519, 5001, 11411, 540, 2192, 1072, 5693, 30289, 547, 2916, 1689, 568, 5266, 1507, 3379, 609, 824, 2101, 1025, 2074, 593, 1072, 971, 607, 689, 6710, 267, 4057, 19455, 543, 4598, 547, 10269, 563, 3719, 8375, 5210, 543, 4657, 11811, 3270, 723, 2799, 3002, 5829, 10108, 543, 7972, 267, 12012, 519, 3892, 540, 930, 1216, 25645, 11763, 3676, 543, 519, 5521, 10141, 1562, 540, 930, 3676, 971, 607, 13663, 267, 543, 723, 4389, 1426, 11729, 538, 930, 2907, 1426, 2987, 31261, 5095, 563, 27832, 6157, 267, 3665, 4365, 2621, 267, 6766, 538, 851, 676, 2916, 1689, 267, 616, 2693, 547, 723, 8329, 547, 519, 2487, 4473, 538, 2518, 1426, 5777, 563, 5445, 4063, 602, 519, 3184, 593, 1072, 11828, 1614, 1764, 6688, 538, 1880, 281, 896, 5991, 9173, 543, 15176, 1126, 1646, 1813, 547, 4389, 1426, 11729, 282, 7063, 267, 6413, 31907, 543, 7972, 1813, 547, 7920, 3002, 6329, 267, 11642, 543, 824, 4365, 12469, 282, 543, 10593, 538, 519, 12119, 8653, 543, 8901, 2039, 540, 11763, 3676, 563, 19185, 6619, 547, 476, 13975, 271, 267, 585, 799, 930, 1110, 8215, 7653, 1631, 1788, 606, 3328, 2518, 8337, 540, 476, 275, 5232, 17622, 267, 519, 1867, 2062, 572, 525, 602, 538, 971, 2175, 1004, 786, 711, 581, 2111, 547, 11883, 267, 1577, 4805, 960, 1587, 1947, 267, 538, 519, 29224, 2694, 540, 519, 1032, 563, 257, 4517, 602, 781, 14322, 1514, 543, 2804, 5238, 543, 3157, 616, 1869, 16856, 269, 2368, 4525, 949, 1831, 796, 514, 4725, 3386, 269, 28620, 593, 2790, 1072, 1223, 581, 13974, 3665, 267, 2417, 12145, 938, 7104, 4390, 547, 11883, 267, 9156, 543, 3082, 4799, 295, 1301, 786, 7494, 29387, 2640, 454, 4407, 14344, 602, 519, 1198, 540, 2916, 1689, 593, 1072, 786, 4268, 1472, 519, 8608, 267, 519, 19174, 2161, 519, 1072, 3184, 20147, 689, 519, 2963, 602, 5739, 5222, 786, 7494, 29387, 1022, 2640, 563, 4322, 786, 849, 24183, 2182, 2914, 517, 12374, 6913, 998, 1514, 1646, 15961, 267, 791, 5338, 3356, 538, 519, 1158, 781, 30529, 2477, 563, 10454, 3184, 3091, 930, 17869, 538, 2566, 532, 602, 519, 2282, 3856, 543, 5266, 2199, 2213, 1072, 1412, 1723, 1532, 523, 9026, 262, 689, 4227, 8511, 5434, 1223, 581, 1360, 1804, 269, 26805, 5434, 540, 15655, 543, 3109, 3327, 267, 585, 1383, 267, 949, 2057, 811, 982, 1079, 2929, 7972, 829, 1032, 2437, 789, 2161, 563, 24281, 2804, 2474, 267, 519, 7379, 6717, 3184, 16488, 602, 519, 1072, 1071, 1532, 523, 9026, 689, 4227, 5434, 1131, 581, 5393, 1942, 1532, 523, 1030, 2772, 269, 1358, 1131, 267, 585, 1383, 267, 581, 476, 272, 267, 1822, 2053, 3152, 982, 519, 2804, 1071, 1532, 523, 9026, 547, 6694, 11729, 689, 4389, 23927, 547, 2110, 24331, 267, 7693, 1673, 600, 1645, 267, 23197, 2916, 14107, 563, 257, 14454, 267, 519, 909, 1922, 3224, 3790, 540, 4227, 5434, 1223, 581, 15186, 15558, 676, 2038, 543, 5393, 1804, 1072, 543, 824, 2640, 4799, 1103, 741, 1378, 3932, 267, 519, 1614, 2161, 602, 9039, 540, 713, 6927, 952, 1480, 1134, 5630, 267, 1072, 543, 6668, 1611, 2370, 281, 834, 1103, 602, 2013, 649, 666, 12520, 782, 649, 899, 267, 1287, 7985, 267, 546, 13388, 548, 610, 1256, 5884, 856, 607, 513, 2249, 543, 4734, 713, 4541, 547, 9156, 543, 8853, 1510, 721, 269, 2290, 1259, 610, 1776, 649, 786, 1287, 12520, 1447, 563, 20442, 723, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1472, 3010, 5445, 4797, 588, 13764, 2394, 789, 6603, 513, 21757, 2407, 540, 7524, 4778, 269, 589, 1895, 540, 5017, 31025, 6653, 23964, 1247, 17984, 1166, 18636, 1229, 7404, 269, 834, 1607, 1747, 568, 18198, 569, 32154, 2437, 26866, 1229, 15207, 269, 834, 296, 6999, 3025, 1223, 2972, 621, 1510, 9292, 1154, 519, 1604, 3010, 10712, 4979, 267, 11875, 320, 21330, 269, 834, 6546, 781, 1946, 3235, 582, 24397, 6818, 256, 898, 11414, 1004, 875, 547, 5660, 2067, 13300, 19100, 269, 1280, 1383, 267, 3079, 540, 16116, 909, 16115, 689, 519, 11824, 267, 789, 1522, 1711, 1148, 1210, 2326, 2907, 1336, 593, 519, 32132, 269, 1656, 1705, 596, 5469, 1022, 17885, 1282, 938, 3802, 2221, 12482, 20755, 3240, 695, 809, 1010, 2212, 269, 834, 301, 2100, 267, 594, 10093, 1405, 2938, 1022, 20203, 693, 782, 15323, 257, 2750, 18075, 256, 19889, 23655, 14666, 4584, 909, 1310, 2933, 543, 1256, 2445, 16445, 789, 1265, 2059, 519, 1259, 269, 1635, 3257, 865, 267, 789, 4734, 1100, 10250, 3297, 267, 4180, 2104, 5481, 666, 1869, 14952, 693, 713, 5898, 3010, 2026, 789, 8120, 547, 11875, 320, 781, 2777, 267, 1352, 11329, 856, 1585, 4191, 22348, 8436, 711, 547, 11145, 7320, 9249, 610, 3441, 2030, 1272, 269, 4173, 1920, 1419, 5249, 1927, 547, 13599, 14538, 827, 5726, 3646, 543, 9415, 873, 547, 7119, 1932, 780, 4504, 29098, 267, 15207, 4280, 267, 834, 3383, 267, 1281, 3235, 582, 24397, 2731, 960, 286, 1684, 1004, 2965, 1246, 891, 3652, 12482, 6826, 5446, 23217, 267, 11875, 320, 14452, 267, 834, 27028, 5193, 569, 256, 2859, 543, 811, 1004, 1174, 519, 2956, 540, 7863, 3047, 781, 16782, 1169, 1032, 269, 769, 1249, 267, 519, 5001, 3235, 582, 24397, 2872, 8952, 3395, 267, 8757, 17542, 540, 9489, 538, 1871, 269, 5994, 602, 910, 9494, 519, 4541, 6730, 2348, 1187, 15323, 20755, 3240, 7948, 1405, 3494, 875, 4241, 3235, 582, 24397, 729, 269, 2060, 6801, 538, 1010, 4064, 267, 646, 9684, 539, 11875, 320, 585, 3450, 1864, 971, 3407, 4245, 543, 16219, 547, 3262, 519, 2262, 1394, 1753, 269, 8625, 267, 789, 530, 8491, 1434, 25742, 267, 6616, 602, 1082, 3078, 9035, 19179, 1243, 1312, 540, 873, 538, 519, 8748, 1158, 540, 3743, 2951, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2026, 938, 2518, 9637, 10593, 2509, 8508, 4264, 3800, 267, 519, 24567, 7678, 540, 3235, 582, 24397, 814, 1500, 513, 1713, 1764, 1472, 519, 1158, 269, 5510, 1359, 513, 18900, 11100, 540, 2825, 5539, 543, 3408, 267, 3235, 582, 24397, 814, 6607, 13702, 9643, 538, 8560, 267, 18867, 8034, 2454, 922, 2804, 9153, 269, 901, 5816, 2022, 546, 1161, 2620, 883, 519, 6422, 1158, 540, 3235, 582, 24397, 998, 606, 10763, 7828, 267, 3695, 519, 2872, 779, 1034, 24084, 2287, 7194, 563, 5804, 15805, 22097, 547, 2804, 2640, 543, 2208, 3466, 267, 649, 2832, 547, 5862, 513, 2143, 4605, 540, 519, 2479, 21608, 14099, 540, 3235, 582, 24397, 12544, 5823, 602, 10905, 519, 26497, 540, 21409, 609, 519, 9547, 540, 8497, 938, 4541, 269, 13028, 875, 713, 2189, 2872, 568, 5935, 519, 3068, 540, 2518, 9235, 543, 4431, 547, 922, 1289, 585, 513, 811, 4264, 14182, 563, 763, 26257, 8278, 582, 24397, 12752, 10803, 1133, 557, 6150, 454, 763, 2518, 3235, 582, 24397, 2344, 2450, 729, 12595, 693, 20430, 476, 8687, 269, 272, 5479, 538, 476, 1001, 280, 563, 4415, 606, 11141, 19609, 540, 1373, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 30728, 1315, 7981, 9314, 1315, 8278, 582, 24397, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 769, 1022, 11180, 2486, 267, 2463, 585, 1367, 2924, 543, 22624, 568, 14063, 269, 901, 2882, 519, 1318, 547, 7834, 267, 799, 814, 1831, 5051, 1271, 538, 2221, 781, 3059, 2085, 269, 1306, 2104, 7855, 543, 14519, 267, 621, 568, 1898, 602, 596, 1174, 519, 1523, 540, 7834, 2924, 607, 789, 829, 1555, 547, 1053, 538, 519, 2796, 540, 3872, 1876, 543, 9086, 269, 901, 1576, 1770, 786, 5490, 883, 713, 3390, 267, 5373, 2390, 519, 1383, 540, 3127, 781, 3656, 1062, 607, 4330, 538, 519, 6679, 1349, 780, 20058, 267, 1577, 721, 5581, 1018, 649, 1611, 676, 1412, 1440, 643, 2329, 9538, 13575, 6340, 267, 7834, 4016, 547, 606, 1367, 781, 2702, 547, 1852, 1569, 547, 741, 2123, 1344, 267, 4555, 267, 4606, 267, 543, 5615, 269, 1879, 7234, 2875, 7834, 1369, 606, 3872, 4259, 267, 649, 616, 5097, 7255, 609, 7863, 6213, 1239, 827, 1053, 267, 971, 607, 4081, 5638, 267, 30095, 3527, 267, 1072, 1344, 267, 543, 1920, 4282, 269, 3767, 267, 875, 1281, 4095, 13338, 5943, 2232, 891, 4145, 286, 4014, 972, 568, 1100, 8763, 2446, 540, 513, 4909, 1318, 547, 7834, 896, 3487, 8633, 540, 519, 9139, 540, 3127, 630, 6518, 14592, 1585, 4909, 2924, 1070, 1896, 16324, 24969, 906, 5431, 7834, 607, 606, 7533, 5057, 540, 1272, 543, 15698, 6870, 896, 9137, 476, 2641, 269, 3958, 267, 1808, 29071, 899, 519, 9406, 547, 4065, 2920, 267, 476, 1220, 280, 267, 543, 6176, 5303, 16390, 267, 476, 1001, 272, 267, 1683, 28863, 585, 4509, 22637, 543, 17516, 4357, 1239, 11341, 547, 1153, 1453, 780, 3080, 2565, 2460, 540, 2875, 7834, 3322, 9844, 910, 950, 666, 3506, 2445, 543, 946, 1053, 262, 2123, 1344, 1510, 1786, 2286, 741, 7834, 2924, 286, 15380, 267, 2069, 5238, 991, 15366, 610, 27369, 9844, 1354, 11018, 610, 4687, 1295, 832, 262, 4357, 3877, 8259, 2769, 569, 15868, 6382, 676, 1876, 269, 1280, 3236, 267, 8791, 476, 7761, 288, 540, 519, 8668, 2920, 791, 4680, 20507, 593, 4896, 945, 12607, 4680, 2123, 1344, 5833, 538, 6015, 952, 2944, 865, 1510, 519, 1268, 781, 9844, 269, 1717, 267, 4052, 2152, 8451, 3823, 13844, 4570, 931, 757, 1813, 547, 2192, 3438, 2329, 267, 1893, 7496, 267, 610, 1379, 6384, 1063, 3237, 543, 3610, 269, 4475, 267, 2312, 4808, 1590, 581, 3964, 1472, 5275, 267, 25643, 267, 543, 2847, 3183, 931, 757, 1247, 4180, 11413, 2429, 519, 1184, 780, 5194, 1883, 1858, 1141, 2875, 7834, 2501, 896, 22987, 568, 13178, 2029, 6165, 538, 3506, 269, 2060, 7760, 538, 595, 6311, 309, 1949, 267, 1979, 6248, 20343, 9477, 267, 16674, 2839, 16776, 267, 3092, 1421, 2055, 7282, 703, 28424, 5464, 2409, 10836, 269, 2755, 28288, 8044, 602, 2799, 15569, 10597, 3106, 543, 12477, 267, 13915, 25077, 602, 7050, 28858, 1102, 2590, 525, 2390, 6267, 262, 2596, 2924, 267, 5732, 588, 604, 1782, 5876, 543, 5807, 5134, 6412, 1851, 8639, 269, 589, 3666, 2115, 547, 10880, 1934, 998, 1134, 1673, 2761, 539, 4507, 15725, 19698, 267, 5106, 267, 543, 5826, 540, 13178, 3937, 2059, 609, 2834, 32116, 547, 2327, 10220, 780, 13010, 267, 1239, 4027, 3587, 2629, 2016, 519, 1761, 4220, 2404, 609, 6880, 6937, 267, 23139, 20984, 267, 610, 18532, 21568, 540, 4357, 2875, 1344, 269, 30543, 1058, 2936, 7347, 2930, 3800, 899, 14238, 267, 3595, 31486, 267, 3818, 29969, 17452, 267, 3092, 1421, 13745, 609, 2178, 4835, 8060, 543, 5234, 2866, 3292, 6322, 693, 10893, 16426, 269, 8617, 8039, 540, 1239, 7829, 2853, 1471, 268, 14504, 23724, 4657, 6639, 5251, 1131, 948, 2226, 909, 3562, 15082, 8825, 6127, 1996, 18977, 1569, 610, 12879, 780, 15563, 267, 3444, 31215, 4483, 540, 2875, 1239, 12651, 1950, 11758, 12302, 2591, 8506, 3486, 9316, 543, 11745, 1436, 540, 4031, 12044, 7834, 4441, 2066, 6082, 269, 9717, 3127, 781, 3395, 8561, 593, 7857, 1242, 1565, 5867, 543, 5698, 609, 4914, 9988, 267, 3384, 17396, 2994, 5466, 891, 4145, 17648, 4644, 780, 1103, 3932, 267, 10188, 519, 2978, 31307, 710, 6389, 540, 2875, 7834, 19329, 6024, 6278, 609, 9687, 15424, 7835, 267, 10883, 1440, 28619, 267, 543, 1655, 2853, 269, 1635, 14237, 4656, 540, 1761, 25354, 543, 12561, 14942, 4485, 2509, 8497, 7834, 2924, 267, 7855, 3565, 9797, 2509, 14637, 3972, 995, 3347, 543, 5009, 11455, 1646, 540, 1053, 1303, 27434, 538, 741, 1416, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19328, 568, 513, 6687, 691, 344, 267, 5313, 267, 25931, 9111, 609, 513, 22833, 600, 1968, 14618, 269, 634, 7022, 267, 11221, 676, 606, 21146, 2852, 267, 568, 519, 2212, 540, 1533, 267, 543, 519, 6305, 14012, 568, 519, 2212, 540, 519, 2229, 269, 7201, 519, 11156, 267, 519, 476, 3066, 2829, 543, 5722, 9769, 11182, 723, 513, 1164, 4110, 540, 13190, 543, 723, 3119, 5539, 585, 1876, 543, 1931, 269, 966, 582, 619, 11221, 5518, 2398, 534, 629, 631, 4157, 615, 329, 2465, 538, 476, 1001, 273, 547, 513, 2947, 4458, 2165, 267, 543, 715, 732, 526, 571, 3525, 328, 2968, 6305, 14012, 1739, 519, 11802, 540, 519, 2817, 14891, 19137, 22687, 3366, 676, 519, 32038, 10620, 5984, 3967, 1092, 9549, 538, 519, 2904, 476, 1001, 275, 2489, 12836, 269, 9866, 21665, 2808, 891, 12836, 267, 799, 3769, 811, 982, 476, 4649, 272, 2929, 5171, 267, 1863, 543, 4023, 267, 5103, 9678, 8320, 540, 5208, 563, 290, 2753, 1014, 8128, 9738, 2500, 1852, 936, 519, 3354, 4229, 563, 763, 1034, 1713, 1480, 2924, 2042, 3238, 8320, 540, 7128, 543, 3354, 3196, 28407, 267, 1519, 3063, 9080, 2772, 6146, 902, 267, 25711, 267, 543, 22149, 282, 13313, 267, 799, 1121, 2967, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7468, 643, 2329, 7126, 540, 4841, 257, 607, 851, 540, 834, 30311, 1315, 12409, 4521, 1299, 18489, 3175, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 15798, 728, 8498, 267, 5030, 1079, 1655, 2828, 3957, 27385, 519, 1530, 531, 543, 20182, 519, 4239, 22455, 269, 1358, 6170, 741, 2395, 4730, 1927, 538, 519, 2462, 4544, 4262, 267, 3695, 782, 922, 13300, 269, 2290, 1554, 789, 8068, 1945, 9490, 910, 519, 1216, 5433, 15911, 982, 8912, 2439, 10501, 1190, 267, 789, 4956, 547, 979, 593, 606, 7045, 547, 1265, 856, 1018, 729, 8345, 269, 1306, 789, 2220, 600, 4514, 883, 519, 5836, 267, 789, 1558, 4856, 320, 519, 595, 4599, 267, 945, 5143, 873, 602, 1352, 1185, 4862, 2984, 827, 875, 834, 30873, 1689, 257, 729, 1818, 519, 5836, 7297, 3636, 909, 269, 2701, 6045, 602, 2916, 1689, 4523, 950, 1004, 6633, 1932, 1082, 8093, 10173, 899, 5755, 543, 3154, 267, 4929, 811, 3327, 8166, 547, 979, 883, 519, 2011, 267, 29212, 3002, 1472, 3047, 267, 543, 7444, 8337, 909, 519, 12084, 780, 306, 20632, 543, 20182, 941, 14281, 1317, 789, 6785, 602, 15911, 1216, 1223, 1118, 930, 4262, 7068, 13943, 610, 1256, 3196, 873, 547, 1847, 2476, 269, 1809, 1287, 4856, 320, 3838, 1776, 6161, 282, 2916, 1689, 666, 2014, 6793, 15420, 543, 2362, 29500, 267, 3056, 547, 811, 5533, 10678, 909, 538, 519, 5836, 269, 21311, 3653, 543, 5739, 6878, 1131, 2322, 3025, 781, 2729, 693, 1981, 2439, 291, 17827, 547, 948, 1832, 741, 5836, 1753, 2922, 543, 2973, 267, 519, 2468, 334, 4797, 741, 3460, 2417, 2394, 789, 1336, 7905, 23027, 267, 513, 8797, 2025, 5951, 945, 6785, 1454, 827, 519, 5836, 14768, 269, 1261, 4951, 873, 875, 891, 3532, 12535, 6410, 1898, 5567, 267, 5135, 267, 543, 14246, 2066, 519, 5318, 14015, 1158, 269, 1717, 267, 1813, 547, 2916, 1689, 267, 519, 12798, 543, 14768, 941, 4657, 267, 27200, 519, 3666, 540, 519, 5117, 269, 24695, 339, 25762, 267, 6263, 2371, 2713, 538, 519, 5836, 267, 1522, 711, 4309, 2614, 7943, 543, 5567, 585, 15591, 267, 7133, 519, 3003, 1426, 5832, 780, 2026, 519, 1614, 1007, 15274, 16540, 539, 2081, 547, 4194, 891, 2042, 267, 10393, 267, 513, 1804, 5068 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1932, 1454, 1520, 1457, 718, 267, 606, 18041, 2867, 8533, 267, 596, 949, 1995, 513, 2647, 2039, 540, 7646, 547, 4049, 2589, 269, 2659, 5114, 786, 581, 5462, 676, 875, 1454, 1520, 1457, 718, 596, 3576, 267, 707, 1560, 7998, 267, 875, 6213, 596, 616, 547, 8102, 1218, 267, 543, 2436, 596, 3576, 824, 6878, 538, 1840, 547, 1520, 1457, 718, 269, 634, 1739, 616, 10832, 540, 606, 1520, 1457, 718, 30072, 912, 268, 21826, 7244, 454, 268, 4400, 2295, 2557, 454, 1432, 547, 1684, 538, 519, 7926, 540, 606, 1520, 1457, 718, 3683, 323, 846, 454, 2252, 596, 1589, 2576, 568, 2921, 1932, 1454, 1520, 1457, 718, 267, 1289, 476, 26605, 5612, 269, 3629, 3877, 547, 2564, 10986, 267, 1519, 519, 1268, 779, 2085, 267, 3105, 2564, 2152, 267, 1022, 1520, 1457, 718, 11959, 267, 2436, 789, 8532, 4568, 610, 5061, 267, 543, 519, 7274, 540, 1520, 1457, 718, 789, 3576, 454, 269, 19321, 519, 1268, 538, 513, 2922, 1604, 547, 2057, 1373, 10413, 676, 8325, 3615, 952, 789, 723, 513, 23069, 269, 589, 3728, 2126, 585, 18041, 2867, 8533, 30072, 10607, 519, 8458, 540, 513, 2407, 6051, 269, 6481, 5464, 267, 11955, 267, 543, 11215, 1416, 616, 782, 3769, 538, 2126, 585, 18041, 2867, 8533, 30072, 267, 799, 2882, 2295, 6285, 543, 17465, 563, 21675, 585, 1520, 1457, 718, 18816, 543, 24251, 454, 3849, 1457, 718, 666, 581, 22925, 952, 3144, 1510, 513, 13310, 269, 898, 568, 4105, 602, 596, 1205, 948, 538, 1931, 547, 5265, 4308, 609, 1520, 1457, 718, 8213, 269, 634, 3355, 1900, 538, 6051, 568, 547, 4383, 15639, 689, 1520, 1457, 718, 267, 2059, 609, 26739, 12153, 543, 9963, 4191, 269, 769, 1931, 547, 2226, 17712, 29561, 267, 596, 786, 723, 547, 5706, 519, 2591, 540, 9854, 267, 4965, 267, 543, 3668, 540, 5834, 1510, 3318, 948, 563, 288, 1268, 29279, 547, 1520, 1457, 718, 666, 581, 16913, 1282, 19140, 693, 513, 11727, 2126, 4099, 269, 1280, 5230, 3755, 267, 1520, 1457, 718, 19140, 2356, 3322, 513, 16795, 5786, 4640, 269, 4635, 713, 4640, 267, 519, 3075, 568, 7444, 17515, 689, 519, 1560, 547, 7413, 13943, 15639, 2589, 971, 607, 4965, 543, 9854, 563, 7628, 519, 6051, 1184, 267, 4509, 865, 321, 686, 1214, 3340, 5571, 3797, 543, 1489, 269, 1323, 1520, 1457, 718, 8213, 568, 12082, 538, 1585, 1514, 267, 3318, 267, 543, 4081, 7965, 269, 10657, 666, 4217, 7218, 547, 3605, 2635, 8925, 547, 11883, 609, 891, 2042, 269, 1677, 9156, 267, 3755, 1590, 2263, 891, 2152, 543, 1265, 3435, 547, 873, 563, 9336, 3593, 543, 2126, 8502, 11887, 519, 3259, 540, 942, 2838, 585, 1520, 1457, 718, 11222, 269, 634, 1377, 540, 2126, 568, 5462, 676, 519, 3593, 779, 991, 269, 8409, 609, 4049, 1039, 11881, 2356, 2154, 3476, 11222, 13978, 269, 9615, 666, 2063, 1063, 476, 2764, 543, 476, 3445, 2395, 563, 3849, 1457, 718, 24251, 9615, 538, 1306, 515, 6807, 267, 12135, 454, 2005, 568, 1271, 547, 10646, 1520, 1457, 718, 8213, 5288, 1520, 1457, 718, 13829, 547, 3313, 952, 596, 610, 513, 6068, 835, 568, 7654, 7092, 689, 8213, 269, 2311, 1306, 515, 6807, 18401, 4741, 267, 649, 1683, 513, 2039, 540, 2126, 3681, 547, 4217, 1346, 609, 3075, 610, 4568, 8213, 2042, 269, 1284, 946, 513, 476, 1321, 9912, 1982, 543, 9192, 11455, 14317, 2553, 538, 938, 3292, 269, 2271, 2400, 30229, 267, 19140, 29748, 267, 9864, 30674, 267, 543, 1310, 3249, 2533, 616, 2139, 693, 519, 9744, 563, 2414, 1205, 6351, 609, 3075, 610, 4568, 8213, 267, 3346, 1306, 515, 6807, 18401, 4741, 779, 2126, 12665, 2221, 269, 1411, 1100, 3476, 723, 547, 6560, 4805, 269, 0, 4913, 267, 972, 616, 930, 5322, 543, 25287, 2762, 602, 616, 7833, 538, 801, 3930, 267, 543, 891, 2413, 3268, 666, 3362, 581, 27058, 563, 268, 4354, 331, 13560, 543, 5455, 563, 268, 6181, 4210, 902, 563, 268, 25065, 7982, 563, 268, 3143, 21940, 2456, 563, 268, 476, 272, 1548, 616, 2596, 7544, 1983, 888, 268, 476, 273, 1548, 616, 476, 276, 4162, 540, 2413, 7544, 888, 268, 476, 274, 4208, 568, 621, 1271, 547, 1451, 519, 2596, 1983, 540, 2413, 7544, 888, 268, 476, 275, 1548, 616, 1806, 540, 7544, 1983, 888, 268, 476, 276, 1548, 616, 519, 476, 276, 2596, 7544, 3527, 888, 268, 476, 277, 1548, 2306, 2413, 7544, 2413, 888, 268, 476, 278, 1548, 616, 519, 2609, 540, 2413, 7544, 888, 268, 476, 279, 1548, 616, 519, 2413, 7544, 2553, 888, 268, 476, 280, 1548, 568, 2413, 7544, 538, 707, 1378, 1913, 888, 268, 476, 1015, 1548, 568, 519, 1292, 3483, 540, 15472, 2413, 7544, 888, 268, 476, 1556, 1548, 616, 519, 2596, 1983, 3268, 538, 3860, 23929, 888, 268, 476, 1321, 1548, 568, 519, 1034, 2596, 1271, 5578, 547, 581, 2808, 538, 15472, 888, 1432, 616, 2596, 7544, 1983, 888, 21995, 19933, 17778, 454, 268, 11831, 7827, 269, 634, 3440, 1689, 568, 1336, 538, 1034, 7544, 10459, 267, 1519, 15690, 267, 7148, 267, 11430, 3740, 267, 543, 12048, 5577, 563, 268, 13340, 5153, 269, 901, 835, 786, 1205, 596, 998, 1022, 16806, 282, 621, 779, 707, 2596, 1907, 689, 9087, 868, 8527, 547, 678, 3518, 320, 563, 268, 24755, 383, 362, 333, 2946, 570, 5281, 563, 268, 1261, 601, 12414, 563, 1432, 616, 476, 276, 4162, 540, 2413, 7544, 888, 276, 18567, 540, 513, 12634, 19933, 454, 268, 24023, 281, 901, 729, 3957, 1310, 26795, 24023, 563, 268, 7799, 517, 281, 901, 729, 3957, 1310, 8277, 7799, 517, 563, 268, 24793, 281, 1773, 5217, 8561, 593, 10893, 8082, 538, 519, 3406, 585, 5714, 640, 543, 9355, 543, 519, 3608, 946, 540, 7362, 543, 1648, 563, 268, 13555, 8555, 341, 5314, 912, 3963, 568, 621, 1271, 547, 1451, 519, 2596, 1983, 540, 2413, 7544, 888, 14187, 4480, 786, 2327, 513, 15854, 1356, 779, 15325, 267, 2061, 7063, 267, 1628, 4222, 543, 8112, 267, 543, 13217, 3350, 2298, 269, 2353, 540, 799, 1683, 20248, 9952, 25249, 609, 519, 2702, 547, 7544, 1210, 2953, 1560, 13307, 543, 12972, 543, 4190, 3515, 563, 1432, 616, 1806, 540, 7544, 1983, 888, 8266, 540, 19933, 10341, 454, 1432, 616, 519, 476, 276, 2596, 7544, 3527, 888, 763, 476, 276, 3527, 540, 7544, 1107, 7914, 267, 2490, 267, 2951, 267, 23972, 543, 1869, 1145, 563, 1432, 2306, 2413, 7544, 2413, 888, 29820, 538, 519, 2038, 476, 736, 628, 2540, 267, 2413, 7544, 568, 513, 7544, 2511, 602, 6212, 593, 513, 15854, 1356, 779, 1378, 12496, 3079, 540, 11295, 3268, 267, 607, 538, 2757, 29478, 15472, 269, 7073, 25249, 7947, 519, 7687, 540, 8106, 29478, 543, 3870, 5322, 6508, 689, 519, 4082, 540, 741, 6418, 4606, 563, 1432, 616, 519, 2609, 540, 2413, 7544, 888, 291, 766, 666, 581, 7745, 1524, 883, 519, 1739, 2947, 2609, 912, 1432, 616, 519, 2413, 7544, 2553, 888, 291, 766, 2553, 543, 3350, 24866, 6964, 538, 4207, 7544, 949, 1331, 12634, 29478, 267, 19933, 27906, 5314, 267, 19873, 633, 7544, 267, 10370, 3740, 7544, 267, 7073, 7544, 6163, 689, 2136, 2276, 971, 607, 24023, 4480, 267, 9966, 874, 9445, 268, 2171, 573, 2006, 4480, 543, 29088, 517, 4480, 267, 7073, 7544, 540, 2342, 645, 6914, 773, 742, 454, 1432, 568, 2413, 7544, 538, 707, 1378, 1913, 888, 19640, 7544, 1107, 513, 2511, 540, 26974, 3740, 15472, 602, 568, 711, 607, 11658, 607, 8106, 29478, 282, 5322, 616, 22192, 540, 4606, 269, 25287, 2762, 267, 3942, 15472, 1107, 513, 1397, 5473, 7499, 15472, 563, 1432, 568, 519, 1292, 3483, 540, 15472, 2413, 7544, 888, 17457, 19933, 3091, 25249, 513, 4960, 547, 2263, 741, 5876, 998, 3350, 269, 898, 849, 13976, 513, 2603, 540, 4222, 256, 3245, 6989, 960, 267, 547, 26357, 267, 547, 24574, 1359, 543, 27906, 5314, 267, 513, 7073, 8355, 1356, 3096, 1010, 17017, 3003, 1560, 543, 1590, 1451, 547, 979, 689, 835, 1377, 547, 1776, 3533, 543, 16900, 563, 1432, 616, 519, 2596, 1983, 3268, 538, 3860, 23929, 888, 2005, 3096, 2241, 7544, 3268, 630, 12921, 6235, 267, 4881, 267, 17259, 267, 4358, 270, 2056, 13514, 264, 543, 3096, 891, 3268, 14350, 543, 538, 7649, 3347, 630, 5723, 1106, 1040, 10801, 782, 519, 2238, 1053, 616, 4397, 547, 1265, 267, 946, 543, 7544, 538, 741, 1378, 2230, 2476, 689, 3615, 543, 1866, 563, 1432, 568, 519, 1034, 2596, 1271, 5578, 547, 581, 2808, 538, 15472, 888, 2026, 1134, 607, 4222, 543, 10688, 267, 513, 1434, 15854, 1356, 1590, 849, 4865, 1390, 11558, 630, 1492, 2702, 547, 960, 1114, 2694, 540, 519, 1560, 1927, 1070, 513, 3810, 2919, 10252, 20469, 4656, 630, 514, 1931, 547, 917, 543, 1852, 519, 2990, 543, 1533, 540, 519, 1560, 1070, 1852, 936, 2597, 543, 3666, 538, 5163, 267, 513, 2919, 4656, 540, 0, 291, 1170, 27937, 12307, 8018, 12226, 1107, 634, 2832, 540, 25285, 543, 12307, 6096, 568, 547, 948, 707, 1126, 1451, 811, 3927, 543, 7561, 269, 1358, 1331, 7317, 2238, 543, 2042, 1759, 593, 519, 5311, 540, 4238, 269, 3414, 891, 3211, 267, 3214, 616, 2111, 547, 9787, 2596, 607, 1134, 607, 1950, 2035, 538, 1360, 2110, 2179, 540, 1974, 540, 942, 269, 898, 568, 2009, 547, 4647, 891, 1863, 2200, 538, 7300, 3898, 547, 5351, 707, 1126, 779, 1565, 543, 2259, 13004, 4834, 269, 1452, 2200, 616, 6225, 547, 1053, 538, 519, 476, 276, 628, 268, 279, 628, 9344, 563, 12606, 5131, 19837, 27937, 12307, 8018, 12226, 454, 4322, 3211, 666, 581, 1031, 676, 1053, 689, 519, 476, 276, 628, 268, 279, 628, 9344, 269, 634, 1079, 9912, 2262, 2042, 941, 9112, 1210, 17447, 610, 8454, 269, 3962, 4976, 3568, 4557, 2042, 269, 1411, 666, 1265, 873, 693, 1022, 1820, 610, 2228, 4199, 269, 1452, 3211, 616, 606, 5140, 4316, 547, 2259, 22198, 4474, 4834, 269, 1452, 3211, 616, 513, 1390, 1259, 547, 2259, 22198, 4474, 4834, 543, 4217, 1053, 609, 1620, 7862, 543, 11201, 4238, 563, 4322, 3211, 616, 5078, 585, 946, 676, 11359, 543, 21632, 3446, 1053, 269, 1452, 3211, 616, 3501, 585, 1053, 945, 616, 10010, 547, 5173, 21159, 269, 1703, 616, 1614, 5686, 540, 2055, 596, 666, 3442, 689, 269, 1411, 723, 519, 4781, 547, 2901, 4194, 2582, 9912, 2042, 602, 2270, 2898, 2338, 610, 8918, 2338, 267, 610, 946, 2262, 2861, 2409, 585, 8454, 543, 17447, 269, 3962, 2985, 3568, 4557, 4834, 269, 1452, 3211, 585, 12307, 666, 581, 1031, 676, 1053, 538, 519, 476, 276, 628, 998, 476, 279, 628, 9344, 563, 4322, 3211, 666, 581, 513, 8748, 1259, 547, 2259, 6824, 9273, 543, 824, 3344, 540, 7223, 269, 1411, 666, 2824, 689, 513, 3099, 540, 5686, 540, 2591, 609, 891, 3211, 269, 898, 568, 2009, 547, 2824, 2262, 2861, 1966, 610, 513, 10230, 269, 634, 1966, 1826, 568, 849, 2629, 267, 2094, 1142, 6799, 513, 1114, 4161, 1826, 269, 1703, 616, 4557, 2591, 538, 1142, 2985, 267, 543, 789, 2461, 5140, 585, 1053, 538, 519, 476, 276, 628, 547, 476, 279, 628, 3446, 563, 4322, 3211, 948, 1053, 1174, 519, 4296, 1063, 2338, 543, 4632, 269, 1452, 3211, 1683, 1053, 609, 519, 4960, 547, 2259, 6061, 9971, 7215, 610, 6061, 4834, 267, 607, 1134, 607, 1620, 875, 547, 4019, 873, 538, 4948, 1272, 269, 1403, 596, 2461, 3168, 585, 513, 1390, 3872, 1907, 547, 1451, 827, 7215, 543, 4834, 267, 596, 666, 1376, 676, 3168, 998, 891, 3211, 269, 1452, 3211, 666, 4001, 596, 827, 1585, 5686, 540, 6310, 2042, 607, 1134, 607, 519, 1082, 6698, 1031, 547, 2769, 873, 563, 4322, 3211, 616, 5393, 6225, 585, 1453, 538, 519, 1101, 3446, 269, 1452, 3211, 666, 948, 1053, 1451, 547, 3113, 543, 4194, 4834, 269, 1452, 3211, 616, 5140, 585, 1565, 827, 9971, 4632, 269, 1358, 666, 948, 596, 1174, 875, 547, 3815, 873, 543, 14458, 873, 269, 1703, 616, 1082, 3211, 596, 666, 946, 547, 4001, 1453, 827, 4834, 269, 634, 1655, 1505, 547, 1451, 827, 4834, 568, 547, 798, 519, 960, 3054, 563, 2467, 616, 3875, 3211, 2139, 547, 1353, 13392, 4834, 269, 3962, 1377, 814, 922, 1378, 4976, 269, 1452, 3211, 666, 581, 1031, 547, 1449, 707, 1983, 538, 6061, 2042, 909, 547, 519, 8772, 4110, 269, 4495, 596, 723, 6192, 519, 2838, 1377, 267, 596, 666, 3136, 2324, 593, 824, 5686, 540, 4834, 269, 4495, 596, 723, 6192, 602, 267, 596, 616, 2111, 547, 960, 547, 4194, 519, 1482, 2042, 269, 898, 568, 2009, 547, 267, 585, 3236, 596, 666, 4194, 519, 1482, 3390, 607, 513, 28608, 1966, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6419, 2361, 1369, 519, 1570, 3294, 998, 6071, 7344, 2566, 269, 5994, 2348, 513, 9059, 18389, 602, 5932, 513, 3196, 2361, 3274, 676, 19755, 621, 256, 4270, 267, 2470, 814, 2907, 3177, 721, 609, 2147, 13300, 3842, 11275, 739, 2774, 633, 2326, 2439, 6962, 454, 29603, 9961, 1686, 267, 3425, 723, 10244, 539, 519, 1379, 6456, 3330, 1114, 2010, 540, 2339, 547, 1628, 6909, 4066, 269, 4653, 267, 11275, 739, 2774, 633, 2326, 2099, 2943, 1776, 3184, 538, 8103, 781, 5571, 1391, 585, 5647, 543, 6602, 269, 3245, 10188, 12084, 547, 890, 1359, 2620, 1369, 6000, 267, 891, 9735, 6878, 3136, 18534, 12686, 519, 1158, 1472, 721, 267, 18445, 2899, 1586, 602, 2257, 2760, 2781, 1162, 547, 9983, 543, 8300, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8368, 540, 12937, 912, 268, 10049, 13242, 538, 30059, 27718, 20668, 454, 268, 19007, 9828, 585, 30059, 27718, 20668, 454, 268, 19007, 9828, 585, 30059, 27718, 20668, 454, 268, 21992, 906, 538, 30059, 27718, 3487, 5303, 454, 268, 10241, 540, 30059, 27718, 20668, 454, 268, 20904, 540, 30059, 27718, 20668, 454, 7093, 17800, 9044, 2694, 616, 2189, 3334, 602, 616, 4481, 2966, 547, 3514, 883, 513, 9044, 543, 948, 8308, 3337, 543, 1106, 1585, 2326, 1031, 538, 5663, 269, 1452, 2694, 1450, 9755, 547, 1711, 2472, 609, 1164, 8856, 267, 6111, 267, 543, 11007, 563, 7093, 17800, 9044, 2694, 616, 1898, 538, 1082, 6080, 267, 1519, 16669, 267, 23825, 267, 5907, 267, 2564, 267, 543, 5068, 27724, 269, 634, 2702, 547, 3132, 2472, 609, 6946, 6272, 543, 9395, 7109, 1734, 568, 1500, 2009, 609, 8856, 9044, 2694, 269, 901, 2337, 2087, 519, 2949, 2298, 540, 519, 8737, 1587, 543, 10597, 6075, 9547, 563, 1103, 713, 2376, 267, 649, 786, 2263, 519, 1585, 2326, 1031, 538, 8856, 9044, 2694, 267, 3302, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 24599, 739, 2774, 633, 10049, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 10049, 3163, 1315, 5450, 1023, 1299, 2353, 9081, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 28161, 15019, 593, 15825, 692, 7072, 912, 342, 9780, 568, 513, 10319, 1603, 3760, 602, 2488, 14292, 4930, 8720, 513, 2647, 2039, 540, 3584, 269, 29460, 2442, 593, 15825, 3322, 7700, 3407, 1543, 267, 2502, 609, 519, 2146, 267, 543, 20170, 547, 519, 3135, 781, 4507, 543, 4808, 269, 901, 3102, 3391, 786, 3802, 596, 998, 519, 3268, 2838, 547, 3715, 3054, 607, 513, 15197, 543, 1134, 8153, 3593, 1369, 519, 15825, 2146, 780, 3721, 476, 272, 281, 25800, 23126, 609, 15825, 24727, 543, 13832, 454, 6524, 11362, 883, 2870, 610, 11049, 4930, 267, 1491, 930, 942, 547, 1224, 543, 1174, 15825, 781, 4507, 543, 4808, 269, 1452, 3652, 1827, 1585, 3344, 540, 519, 3896, 267, 1519, 1543, 2298, 267, 2623, 267, 543, 11249, 4441, 269, 1635, 5432, 1944, 3054, 609, 891, 6054, 267, 596, 6542, 2463, 585, 519, 2146, 543, 2327, 707, 7418, 5447, 609, 519, 2949, 5075, 540, 519, 3760, 269, 6206, 2200, 1331, 1384, 265, 634, 8080, 2985, 630, 283, 10059, 2517, 4178, 9884, 23943, 2593, 270, 8702, 3562, 2914, 9780, 285, 994, 265, 7991, 667, 1662, 4580, 630, 283, 10059, 2517, 4178, 9884, 23943, 2593, 270, 26322, 5937, 1662, 4580, 285, 994, 265, 12474, 8889, 630, 283, 10059, 2517, 4178, 9884, 23943, 2593, 270, 32098, 6261, 32123, 285, 994, 265, 15015, 540, 13910, 630, 283, 10059, 2517, 4178, 9884, 23943, 2593, 270, 10048, 783, 6361, 4149, 1399, 548, 285, 2020, 3528, 1739, 891, 4808, 267, 596, 1711, 513, 2318, 12705, 1851, 25982, 3755, 543, 1305, 3054, 909, 585, 1967, 607, 513, 12595, 4759, 540, 519, 2146, 780, 3721, 476, 273, 281, 8073, 606, 10055, 454, 17730, 606, 2272, 2636, 596, 547, 3950, 707, 3356, 267, 4309, 5491, 585, 707, 960, 267, 543, 4497, 811, 3927, 609, 824, 3755, 269, 1677, 1129, 909, 267, 4945, 519, 1412, 19868, 538, 1315, 6178, 5455, 262, 7735, 693, 519, 1283, 1318, 7944, 540, 1022, 15825, 2985, 267, 1287, 2824, 1412, 14294, 909, 9538, 7427, 519, 12987, 547, 1683, 2596, 1344, 971, 607, 707, 2012, 267, 4757, 2232, 267, 543, 27024, 269, 4495, 10805, 267, 21160, 707, 9043, 676, 4946, 513, 8666, 267, 6915, 267, 543, 6402, 547, 1514, 2923, 6589, 952, 5551, 269, 589, 2347, 9043, 11942, 3972, 543, 7512, 5698, 689, 8284, 2146, 2818, 780, 3721, 476, 274, 281, 5269, 966, 16191, 19928, 1903, 454, 30696, 593, 3246, 1164, 7779, 1543, 602, 9607, 10616, 538, 4540, 1888, 3795, 610, 10607, 2390, 2907, 3370, 4930, 269, 6333, 519, 1739, 2994, 950, 13167, 1007, 1570, 610, 7393, 4540, 4773, 1384, 265, 10576, 2127, 1141, 596, 4865, 6791, 610, 2178, 1719, 269, 19457, 1702, 827, 5396, 596, 616, 13730, 827, 4679, 519, 10171, 540, 6721, 11108, 1543, 563, 265, 18430, 9488, 1382, 1210, 23674, 2959, 547, 1489, 707, 6811, 543, 2327, 6111, 269, 7743, 569, 13712, 782, 8100, 2687, 547, 15825, 781, 27375, 6651, 630, 283, 10059, 2517, 4178, 9884, 23943, 2593, 14727, 2787, 8566, 340, 728, 285, 1916, 265, 1520, 1877, 547, 519, 15015, 540, 13910, 950, 1785, 1005, 543, 12180, 707, 2376, 269, 3117, 29548, 2066, 15825, 8309, 547, 5467, 8223, 543, 9547, 563, 265, 2422, 2312, 267, 13801, 1893, 3358, 547, 707, 3077, 5304, 24568, 1034, 2665, 267, 713, 1797, 4948, 2296, 5078, 585, 6267, 540, 8795, 15334, 2157, 563, 265, 5410, 3308, 2609, 899, 2592, 267, 7044, 267, 610, 12222, 547, 3986, 1620, 543, 6278, 269, 1717, 267, 2057, 20358, 532, 4930, 609, 11991, 19180, 3334, 563, 265, 11622, 622, 609, 1866, 256, 12833, 1746, 5955, 689, 4810, 15769, 666, 948, 13217, 707, 960, 543, 2087, 922, 8458, 540, 1373, 12286, 593, 519, 1753, 2457, 610, 11992, 593, 519, 3135, 780, 19894, 569, 7700, 3407, 1543, 20502, 707, 11428, 547, 519, 15825, 5692, 543, 4396, 5809, 707, 10639, 607, 513, 6325, 2707, 540, 1344, 780, 3721, 476, 275, 281, 18918, 2060, 4033, 20305, 454, 8002, 1947, 10283, 538, 5717, 267, 5356, 16268, 9880, 267, 543, 4687, 17192, 13976, 4296, 1369, 519, 15825, 2146, 269, 3371, 616, 930, 2081, 547, 6536, 2318, 3347, 1247, 849, 14027, 707, 2123, 2208, 607, 606, 9375, 1384, 265, 18554, 2487, 2242, 543, 4901, 3817, 1644, 547, 707, 2127, 540, 1719, 269, 20644, 4030, 267, 2626, 2055, 267, 543, 4217, 609, 20547, 13882, 950, 3617, 563, 265, 12160, 622, 538, 8468, 16060, 630, 283, 10059, 2517, 1721, 4548, 9884, 23943, 2593, 270, 285, 264, 4143, 547, 707, 1983, 610, 4690, 269, 9523, 2833, 267, 2307, 2055, 267, 543, 2709, 15826, 6114, 547, 1866, 262, 9708, 563, 265, 32633, 3729, 14222, 4930, 585, 6284, 3842, 3292, 899, 9894, 1411, 5700, 286, 630, 283, 10059, 2517, 4178, 9884, 23943, 2593, 270, 12441, 268, 2791, 11860, 852, 285, 264, 610, 9137, 26094, 20000, 630, 283, 10059, 2517, 4178, 9884, 23943, 2593, 270, 20684, 268, 18719, 22777, 5937, 337, 633, 285, 1040, 23779, 7341, 5031, 8037, 10781, 2066, 15825, 543, 5000, 2417, 1646, 540, 1164, 7779, 1543, 780, 8777, 1645, 25006, 609, 824, 3755, 9727, 7029, 547, 519, 15825, 1788, 543, 18791, 707, 2990, 1369, 519, 2146, 780, 3721, 476, 276, 281, 22895, 528, 1715, 3798, 6002, 454, 2026, 596, 2744, 1995, 543, 1628, 29037, 609, 8284, 15769, 267, 2015, 29013, 18960, 3755, 945, 949, 2154, 5583, 610, 6351, 10188, 519, 3760, 269, 2920, 532, 607, 513, 4199, 585, 1447, 19023, 20334, 2640, 1312, 6105, 281, 6497, 4315, 4324, 689, 707, 7326, 543, 6791, 267, 1247, 596, 24917, 5718, 1983, 543, 15052, 707, 9525, 538, 519, 2146, 269, 3958, 267, 30023, 3255, 3565, 9797, 547, 15825, 781, 2949, 1072, 543, 6940, 780, 3721, 476, 277, 281, 13773, 15765, 543, 6431, 11962, 454, 28082, 640, 593, 15825, 1281, 711, 3335, 4755, 16074, 282, 2864, 267, 621, 2164, 689, 5812, 4674, 267, 8990, 267, 543, 9639, 269, 8033, 28204, 11441, 547, 4228, 707, 1983, 564, 267, 2263, 3309, 1641, 2339, 267, 543, 2226, 2318, 4205, 609, 824, 3755, 269, 3683, 942, 267, 891, 3527, 786, 24772, 707, 4527, 593, 519, 3135, 543, 2333, 15287, 1851, 1312, 9905, 543, 16984, 7567, 780, 6962, 912, 6826, 5765, 2442, 593, 15825, 3340, 11428, 267, 18094, 267, 543, 15984, 547, 519, 2146, 781, 2418, 543, 8155, 269, 10312, 593, 12419, 1871, 998, 8101, 7418, 267, 3742, 6278, 267, 543, 11215, 30023, 269, 1306, 596, 1020, 513, 7347, 1560, 540, 960, 543, 11349, 6209, 3347, 267, 596, 786, 7930, 7118, 6284, 543, 22644, 1369, 519, 7524, 15825, 2146, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 289, 22877, 15019, 538, 15825, 2580, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3178, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 538, 331, 24851, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1158, 540, 6529, 518, 10207, 267, 4481, 1369, 519, 2796, 540, 6529, 518, 2835, 267, 1210, 519, 2442, 3014, 715, 2131, 334, 589, 1206, 2541, 781, 834, 8489, 2549, 594, 2725, 578, 8119, 607, 938, 3119, 1383, 269, 1284, 786, 2263, 875, 891, 7317, 2833, 8415, 3308, 1374, 3741, 267, 1966, 9010, 2994, 267, 543, 9423, 2553, 547, 4497, 3755, 269, 1635, 6313, 519, 2078, 1063, 29654, 267, 5054, 267, 543, 3197, 267, 649, 2832, 547, 1174, 519, 1761, 1764, 540, 971, 6272, 593, 3593, 1995, 543, 1565, 4093, 780, 1262, 296, 269, 10439, 5071, 14362, 538, 25529, 518, 2480, 25333, 4373, 24058, 1374, 4249, 513, 2629, 1909, 538, 2870, 15138, 543, 2502, 6529, 518, 6429, 2833, 269, 634, 946, 540, 4778, 267, 5546, 267, 3270, 267, 543, 5888, 8309, 547, 519, 2949, 12716, 9029, 543, 2337, 3391, 519, 3593, 781, 3007, 2509, 1271, 2609, 269, 1280, 3236, 267, 538, 834, 8489, 2549, 594, 2725, 578, 286, 2580, 17804, 4778, 543, 3982, 3270, 948, 10646, 3077, 7314, 689, 741, 10450, 269, 4197, 3308, 15796, 267, 3666, 267, 543, 8561, 5849, 602, 9858, 1711, 11617, 24886, 15885, 1247, 13057, 3755, 2509, 11264, 2591, 7561, 780, 1262, 2862, 269, 9046, 14572, 11150, 543, 15465, 22580, 4373, 11328, 5562, 6529, 518, 10207, 2154, 5042, 6278, 543, 2565, 3206, 1983, 689, 3755, 269, 3414, 5402, 2966, 13410, 543, 4247, 267, 891, 3756, 5000, 1966, 6061, 2994, 899, 8343, 267, 4806, 6284, 267, 543, 17429, 794, 269, 1306, 2938, 538, 834, 8489, 2549, 594, 2725, 578, 286, 2580, 31278, 4679, 538, 6988, 7903, 3755, 547, 13217, 741, 10478, 2409, 543, 2226, 1445, 269, 3194, 5267, 602, 3742, 7589, 538, 1966, 9010, 4247, 5012, 547, 1732, 1344, 12802, 543, 8476, 8404, 630, 305, 657, 553, 1696, 620, 1421, 476, 1001, 276, 6393, 1262, 7656, 269, 27884, 9828, 543, 10886, 4886, 4373, 19931, 9423, 10597, 3593, 6278, 676, 3246, 6209, 4296, 547, 519, 5691, 1158, 4843, 269, 16992, 1369, 6529, 518, 10207, 1419, 4865, 2189, 14789, 267, 23079, 267, 543, 1394, 560, 1559, 267, 3850, 873, 547, 1831, 811, 11541, 543, 12300, 585, 3755, 269, 769, 715, 2131, 334, 589, 1206, 2541, 267, 1367, 3032, 12632, 3565, 547, 606, 3929, 6125, 1063, 6345, 543, 1915, 269, 15043, 6568, 543, 13613, 7512, 12675, 5872, 543, 11942, 2318, 1565, 2833, 630, 22416, 821, 1299, 2274, 3899, 267, 476, 2735, 278, 6393, 1262, 4353, 269, 20074, 3955, 13808, 609, 25529, 619, 4373, 28885, 29654, 8591, 6106, 540, 2170, 2032, 543, 29356, 547, 6529, 518, 6429, 13144, 269, 20305, 949, 1747, 267, 1847, 267, 17967, 267, 543, 759, 1125, 29654, 2687, 547, 741, 7375, 267, 7175, 1582, 22325, 543, 5876, 269, 5015, 267, 8888, 29654, 609, 2789, 2829, 610, 27515, 2636, 585, 6422, 4205, 543, 9670, 8906, 267, 7700, 547, 513, 21950, 11080, 1995, 630, 289, 976, 793, 648, 1696, 620, 1421, 476, 1001, 274, 6393, 1262, 309, 269, 10241, 15332, 30007, 4373, 763 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 666, 1406, 1832, 909, 543, 952, 789, 10093, 1406, 4362, 930, 2645, 547, 12260, 1007, 1913, 267, 789, 616, 4503, 1848, 314, 328, 2639, 31535, 519, 4992, 540, 519, 5022, 2636, 513, 1126, 547, 1376, 16471, 873, 547, 1118, 1913, 269, 901, 2337, 1864, 547, 3280, 856, 1913, 1107, 849, 1634, 607, 29852, 563, 2080, 779, 875, 547, 2253, 912, 9359, 676, 3450, 519, 3029, 540, 519, 5022, 543, 741, 4992, 269, 630, 31535, 519, 9904, 693, 713, 3942, 568, 711, 1898, 547, 1565, 547, 1224, 269, 634, 4992, 540, 519, 5022, 616, 1034, 1271, 4700, 2755, 621, 4465, 1406, 2800, 707, 1126, 547, 1451, 519, 9904, 267, 1810, 1406, 7227, 547, 1376, 2542, 2394, 646, 6487, 621, 563, 5938, 778, 519, 3029, 543, 4992, 540, 513, 1906, 5022, 269, 589, 1434, 1747, 547, 2253, 568, 609, 707, 1126, 779, 1378, 2012, 269, 3503, 1010, 2012, 543, 1205, 1864, 547, 10250, 1010, 9416, 936, 1142, 4484, 269, 15681, 1864, 1018, 621, 3081, 269, 1403, 646, 568, 5461, 1577, 1864, 2328, 1010, 2012, 593, 796, 20040, 1957, 855, 1810, 1406, 3196, 1864, 547, 2328, 1063, 519, 3515, 610, 1205, 1010, 5022, 519, 1482, 2450, 563, 3086, 1847, 593, 547, 513, 1906, 824, 5022, 563, 5938, 778, 1152, 519, 2110, 4992, 540, 519, 24008, 596, 798, 4001, 1107, 1315, 320, 270, 607, 538, 3032, 267, 1315, 324, 270, 607, 538, 4212, 3092, 269, 1452, 616, 1031, 811, 1419, 982, 519, 1279, 4992, 269, 901, 786, 2057, 10539, 950, 707, 1126, 6238, 519, 1985, 1900, 1107, 16471, 269, 1879, 707, 1126, 568, 811, 8746, 596, 666, 2253, 3450, 519, 1279, 4992, 1107, 1315, 320, 270, 607, 538, 10766, 267, 1315, 324, 270, 607, 538, 803, 563, 4415, 835, 610, 1079, 24008, 543, 513, 1906, 19283, 1218, 538, 707, 1126, 779, 2212, 267, 646, 568, 4712, 547, 1376, 16471, 563, 2237, 519, 1906, 5022, 707, 1126, 6487, 543, 2253, 8380, 873, 1927, 547, 1118, 1913, 269, 3503, 519, 5022, 899, 713, 912, 333, 533, 512, 454, 11592, 547, 519, 1315, 320, 270, 543, 2161, 519, 3280, 1107, 1315, 320, 270, 630, 553, 538, 19033, 1070, 13472, 707, 9416, 547, 519, 1315, 333, 270, 543, 2161, 519, 2262, 267, 606, 269, 5192, 707, 1126, 547, 2161, 519, 2262, 1142, 942, 596, 1448, 547, 1346, 5022, 269, 1684, 519, 1482, 609, 693, 269, 3973, 6467, 1063, 519, 1079, 543, 1294, 952, 707, 1126, 3081, 873, 7157, 269, 634, 2262, 3284, 568, 711, 513, 2262, 267, 855, 1205, 707, 1126, 547, 2161, 621, 19037, 543, 2491, 602, 621, 568, 711, 513, 2262, 269, 1684, 713, 2394, 707, 1126, 1281, 621, 2770, 1836, 563, 31161, 593, 547, 1614, 4484, 1913, 1107, 1884, 267, 3443, 267, 1273, 267, 19038, 267, 7148, 267, 16009, 269, 2659, 1126, 1058, 2259, 6031, 519, 1913, 950, 596, 1448, 547, 873, 269, 1261, 666, 1448, 547, 873, 585, 596, 547, 1224, 267, 2328, 519, 1913, 543, 1287, 1224, 873, 267, 543, 1224, 1913, 602, 596, 2328, 563, 11754, 1776, 4484, 1107, 5372, 519, 1315, 320, 270, 609, 1315, 334, 270, 543, 979, 998, 782, 519, 1007, 1913, 1107, 711, 267, 1494, 267, 1283, 267, 9103, 267, 1402, 563, 294, 992, 707, 5750, 607, 596, 1039, 1007, 5022, 267, 5329, 519, 24008, 593, 1283, 543, 19283, 1218, 2630, 563, 3086, 602, 707, 1126, 666, 3280, 856, 1913, 267, 1448, 930, 856, 547, 1864, 1247, 596, 616, 2542, 547, 1864, 269, 5192, 1864, 547, 3280, 873, 856, 563, 10673, 1406, 1118, 891, 4245, 1932, 1279, 543, 2141, 3247, 1247, 707, 1126, 568, 11981, 1967, 563, 2252, 713, 3942, 568, 3500, 538, 4947, 1287, 979, 1394, 547, 3257, 968, 9418, 8631, 892, 585, 513, 1247, 543, 2119, 519, 2542, 4245, 538, 513, 1906, 4374, 610, 3275, 563, 3086, 568, 519, 942, 547, 4001, 782, 540, 519, 5022, 543, 741, 4992, 269, 4746, 4001, 4484, 10659, 267, 971, 607, 1315, 1188, 270, 543, 1315, 628, 28918, 1403, 707, 1126, 3085, 1406, 2943, 917, 519, 4408, 540, 519, 5022, 543, 519, 9904, 267, 596, 666, 4001, 873, 1631, 563, 2108, 6624, 1453, 616, 4712, 547, 973, 924, 519, 9904, 676, 2085, 1079, 610, 1614, 1107, 543, 972, 568, 1100, 1483, 2800, 538, 971, 1565, 269, 1809, 621, 13976, 1100, 1880, 21184, 267, 2094, 789, 2731, 723, 2370, 946, 585, 519, 9904, 269, 4400, 2298, 2542, 568, 811, 982, 519, 887, 974, 3965, 540, 1913, 6026, 676, 2038, 8755, 2275, 731, 24200, 269, 1403, 267, 3079, 540, 4470, 593, 3965, 4805, 267, 519, 2385, 568, 8348, 547, 8488, 6101, 1565, 2394, 2601, 543, 1620, 723, 13175, 547, 9921, 1107, 2356, 1472, 5216, 547, 4557, 1107, 519, 1126, 666, 1628, 513, 9266, 3060, 540, 13093, 2045, 2609, 543, 2262, 3885, 543, 9062, 1010, 6863, 6385, 1848, 1496, 4512, 2639, 3963, 7227, 11489, 1631, 547, 4001, 519, 9904, 286, 5221, 1631, 707, 1126, 814, 513, 1747, 538, 1010, 2247, 547, 2322, 713, 1344, 269, 16707, 543, 4992, 1631, 723, 513, 946, 543, 2495, 563, 10287, 713, 2241, 1505, 547, 4001, 782, 519, 4992, 912, 1607, 786, 711, 1491, 1416, 540, 782, 519, 1913, 1317, 930, 723, 12150, 18551, 3652, 269, 1452, 1913, 616, 1655, 6026, 676, 8289, 1107, 1913, 899, 912, 27745, 267, 1131, 267, 543, 1058, 563, 290, 727, 267, 689, 267, 540, 267, 824, 267, 930, 267, 543, 835, 563, 12179, 267, 1082, 267, 1767, 267, 3081, 267, 1004, 267, 519, 267, 972, 267, 1079, 267, 543, 729, 563, 3086, 568, 519, 942, 547, 2259, 547, 2744, 21711, 269, 2659, 1126, 2141, 814, 1614, 2542, 2157, 912, 272, 264, 4830, 1377, 1107, 2835, 646, 666, 1224, 593, 1010, 1378, 454, 273, 264, 14292, 1377, 1107, 786, 4001, 1864, 1007, 1983, 454, 274, 264, 17140, 1377, 1107, 2835, 1932, 2182, 585, 6044, 454, 8196, 713, 547, 2557, 2835, 267, 711, 707, 1126, 563, 8340, 2835, 602, 616, 2653, 585, 707, 1126, 547, 1224, 543, 1577, 1864, 1224, 267, 1224, 267, 1224, 269, 14168, 2835, 2285, 707, 1126, 4316, 547, 19597, 622, 1010, 2542, 1983, 269, 1358, 948, 1864, 1451, 519, 2653, 1455, 1913, 602, 616, 1031, 1586, 543, 1586, 269, 14168, 2835, 948, 707, 1126, 547, 1451, 547, 1224, 12347, 543, 6385, 1107, 2394, 621, 3587, 13128, 269, 14168, 2835, 4001, 602, 2542, 568, 1187, 563, 16605, 621, 2241, 267, 1445, 593, 519, 9238, 267, 543, 3314, 602, 707, 1126, 1869, 2115, 547, 581, 3257, 6266, 540, 968, 9418, 8631, 9731, 5649, 16965, 942, 5932, 513, 8748, 4276, 609, 707, 1126, 267, 855, 621, 849, 2488, 4316, 585, 10071, 531, 1565, 269, 2659, 1126, 786, 1451, 602, 596, 1224, 689, 2451, 547, 1318, 267, 1376, 6998, 2055, 827, 1913, 267, 543, 2253, 2369, 2358, 5022, 543, 1913, 563, 17004, 606, 1719, 538, 2835, 3054, 269, 17546, 707, 1126, 1141, 547, 979, 547, 1265, 1344, 630, 1278, 982, 5616, 256, 1916, 288, 3099, 540, 2833, 2337, 513, 1126, 1628, 543, 1719, 538, 543, 606, 1620, 540, 1919, 789, 786, 5555, 1224, 827, 563, 10673, 1406, 2911, 1524, 547, 707, 1453, 269, 2422, 1483, 1913, 267, 2937, 20695, 1913, 543, 2491, 1018, 789, 1611, 952, 2556, 563, 23458, 1646, 568, 835, 540, 519, 2596, 23944, 28987, 585, 2542, 269, 2659, 1126, 786, 5299, 707, 12332, 543, 707, 6073, 540, 6340, 269, 12315, 707, 1126, 4316, 547, 2769, 5128, 543, 547, 2995, 2621, 538, 5311, 563, 5938, 778, 707, 1126, 547, 6432, 269, 11559, 1864, 547, 1867, 593, 1018, 789, 723, 4862, 269, 9105, 1864, 547, 10956, 5528, 596, 4076, 2016, 543, 1427, 749, 2984, 646, 4862, 563, 306, 895, 707, 1913, 856, 5693, 269, 2422, 2407, 9067, 5322, 267, 21179, 908, 952, 2556, 269, 5269, 621, 1187, 547, 3717, 1434, 2296, 269, 5213, 1406, 2503, 707, 1126, 547, 24969, 782, 741, 1913, 7157, 2394, 789, 616, 1472, 2085, 5216, 610, 8370, 563, 8967, 7505, 2296, 568, 1419, 27507, 540, 1434, 8239, 269, 2142, 6297, 547, 3717, 1134, 543, 707, 1453, 786, 6923, 798, 519, 1482, 563, 8196, 1919, 1472, 596, 538, 606, 10071, 531, 1259, 1107, 23611, 10833, 267, 4155, 4191, 269, 2142, 3280, 6857, 543, 1118, 621, 1187, 563, 13014, 6529, 593, 10297, 585, 1455, 7622, 3615, 543, 723, 707, 1126, 2322, 873, 1141, 789, 4866, 563, 2467, 596, 979, 256, 1411, 666, 4001, 707, 1126, 547, 1224, 563, 3674, 3450, 707, 1126, 547, 1224, 2566, 532, 596, 1312, 286, 1772, 621, 942, 547, 1394, 1055, 543, 4137, 513, 1007, 1544, 540, 2962, 610, 798, 930, 968, 9418, 8631, 892, 585, 513, 1247, 888, 5157, 316, 634, 21988, 23467, 1041, 7731, 18361, 267, 476, 6200, 267, 3220, 31434, 1299, 16910, 18333, 18703, 454, 314, 4512, 316, 5851, 13910, 9752, 267, 476, 16825, 2073, 3220, 31434, 1299, 16910, 18333, 18703, 267, 609, 667, 12447, 18703, 267, 631, 269, 589, 1421, 22186, 22220, 918, 867, 523, 321, 13702, 267, 589, 269, 645, 1421, 543, 808, 565, 2940, 744, 1873, 12245, 267, 12854, 563, 5157, 316, 14568, 17623, 982, 7216, 267, 18703, 267, 476, 3583 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 661, 12915, 9990, 13386, 28369, 630, 306, 264, 1312, 14526, 585, 6694, 2244, 538, 519, 3162, 267, 596, 7447, 519, 3747, 585, 10412, 547, 581, 595, 623, 595, 476, 271, 269, 1839, 303, 590, 476, 271, 269, 2004, 296, 267, 1141, 623, 595, 568, 519, 3902, 540, 10412, 267, 623, 590, 519, 3902, 540, 13386, 28369, 267, 543, 594, 4747, 269, 9701, 596, 1489, 610, 28586, 519, 1544, 286, 1772, 972, 1022, 3606, 1344, 602, 1131, 948, 596, 547, 1683, 513, 17046, 2626, 286, 1403, 2504, 540, 10412, 568, 2759, 538, 3368, 267, 1287, 519, 3902, 540, 10412, 786, 2333, 267, 2016, 602, 519, 3830, 1657, 2982, 602, 3747, 568, 18746, 1793, 14563, 630, 26238, 519, 1129, 593, 623, 595, 568, 2942, 1040, 2060, 3902, 2810, 543, 7274, 18796, 13302, 267, 8907, 1223, 979, 2901, 1259, 269, 898, 5673, 593, 2436, 3747, 568, 13412, 610, 538, 601, 2880, 269, 1403, 3747, 568, 13412, 267, 513, 6175, 538, 2504, 543, 606, 2333, 538, 3902, 1131, 6175, 8907, 269, 1403, 3747, 568, 538, 601, 2880, 267, 513, 6175, 538, 2504, 543, 606, 2333, 538, 3902, 1131, 2333, 8907, 269, 1411, 991, 513, 2603, 540, 1344, 1354, 596, 666, 2285, 513, 17046, 2626, 269, 3689, 267, 596, 1590, 917, 519, 1699, 5777, 585, 10412, 543, 13386, 28369, 7132, 519, 1377, 540, 4747, 282, 1287, 596, 666, 5173, 519, 7274, 540, 10412, 18796, 267, 595, 269, 8921, 267, 596, 723, 547, 2759, 595, 538, 3368, 543, 3313, 519, 1198, 602, 786, 723, 593, 519, 3902, 540, 10412, 267, 14322, 602, 4747, 543, 519, 3902, 540, 13386, 28369, 616, 711, 4299, 630, 6518, 568, 513, 2462, 13429, 1040, 3973, 596, 666, 5173, 519, 3312, 8907, 543, 519, 1007, 8907, 547, 1294, 2436, 713, 2962, 4679, 2818, 19614, 610, 711, 563, 6224, 22790, 476, 274, 12164, 306, 9331, 2207, 18688, 11190, 9654, 3036, 12327, 2207, 290, 3041, 2464, 476, 273, 269, 8571, 519, 967, 29924, 14258, 585, 519, 1739, 2043, 7375, 585, 1079, 5370, 281, 554, 27304, 619, 543, 14420, 269, 513, 269, 1325, 15055, 14420, 855, 554, 919, 554, 27304, 619, 269, 1261, 2141, 27422, 454, 263, 8269, 518, 22391, 5384, 281, 476, 876, 281, 2764, 264, 15440, 658, 13188, 4515, 269, 570, 4533, 328, 631, 880, 571, 590, 12282, 8160, 269, 3427, 540, 5004, 4095, 4659, 540, 5303, 267, 25512, 599, 17976, 910, 476, 1724, 19901, 29007, 630, 6944, 323, 3738, 1284, 786, 3136, 938, 4901, 454, 288, 7869, 540, 19901, 10263, 2776, 3916, 514, 2456, 476, 272, 269, 4985, 634, 4909, 2243, 538, 9297, 568, 476, 273, 269, 19901, 2776, 325, 3720, 9717, 3908, 2200, 267, 875, 616, 5370, 543, 3028, 21248, 286, 476, 272, 476, 274, 269, 1473, 29924, 454, 272, 269, 6904, 540, 519, 1739, 1131, 6521, 519, 3747, 7455, 585, 1007, 9499, 547, 519, 1318, 286, 513, 269, 589, 2887, 538, 519, 3902, 540, 1957, 1031, 538, 13629, 5931, 269, 536, 269, 589, 2887, 538, 519, 3902, 540, 6697, 1031, 1257, 2835, 269, 524, 563, 14976, 2880, 640, 594, 269, 1548, 568, 4432, 2880, 640, 286, 634, 3483, 540, 713, 3296, 568, 547, 1020, 930, 2489, 3652, 827, 22786, 267, 799, 949, 873, 581, 4294, 547, 519, 2185, 1114, 1808, 2010, 540, 22786, 5941, 538, 454, 300, 8991, 384, 364, 301, 6167, 4353, 8991, 14510, 674, 3722, 17109, 312, 5508, 18598, 6730, 5084, 300, 2562, 8780, 6938, 20937, 14662, 384, 364, 27301, 2464, 667, 7968, 11286, 16774, 5508, 18598, 631, 2975, 4629, 4488, 16688, 12903, 631, 2839, 9898, 300, 12327, 4456, 667, 12442, 476, 1240, 269, 1556, 269, 1001, 272, 570, 384, 364, 23966, 476, 1321, 281, 1789, 22295, 7728, 715, 28719, 6730, 715, 9331, 21612, 631, 8085, 2316, 303, 4041, 8863, 302, 21201, 269, 7994, 519, 835, 454, 6637, 476, 273, 281, 19901, 14893, 10374, 8382, 5999, 476, 272, 269, 16684, 569, 2491, 1018, 606, 967, 29924, 7455, 568, 543, 875, 621, 666, 581, 3113, 1227, 6508, 269, 8382, 281, 1323, 967, 29924, 7455, 2982, 519, 1305, 540, 4616, 15985, 956, 454, 20779, 663, 17976, 476, 274, 7335, 281, 3131, 5979, 3848, 476, 275, 4864, 476, 1001, 276, 476, 272, 1315, 476, 6812, 4985, 1284, 4718, 519, 3747, 7455, 538, 3184, 476, 273, 269, 1284, 4121, 827, 7082, 3375, 1818, 538, 3184, 476, 274, 269, 3767, 649, 8115, 519, 7934, 1063, 519, 454, 4488, 2177, 476, 9818, 267, 476, 1220, 279, 268, 273, 4888, 14684, 8991, 9215, 670, 26041, 20796, 298, 6789, 306, 22218, 300, 19006, 9603, 519, 10432, 540, 4873, 476, 2537, 3848, 476, 279, 654, 305, 25492, 476, 2422, 519, 3747, 8430, 602, 5205, 547, 5173, 2698, 8907, 543, 8589, 8907, 693, 1142, 7274, 269, 18140, 454, 19370, 5590, 1948, 276, 268, 7659, 12312, 5448, 3557, 2160, 13188, 476, 25134, 24493, 23059, 5843, 11296, 7869, 3220, 19923, 15362, 630, 272, 264, 14597, 602, 596, 616, 9878, 707, 585, 707, 1378, 2069, 543, 602, 707, 2852, 24875, 568, 1269, 1220, 829, 454, 8256, 10179, 14893, 281, 519, 24637, 17121, 540, 519, 10369, 3117, 28366, 3068, 10148, 593, 741, 5079, 1317, 789, 723, 3908, 26038, 269, 32100, 344, 543, 4057, 2043, 723, 3908, 23348, 3448, 547, 741, 13821, 563, 292, 21643, 476, 22145, 8745, 9046, 5590, 476, 275, 476, 276, 5239, 476, 1220, 278, 20907, 20514, 543, 1473, 29924, 4354, 1407, 543, 519, 19901, 8838, 3065, 476, 272, 269, 3474, 557, 345, 267, 513, 14278, 1108, 2875, 267, 814, 21248, 1269, 6344, 829, 3923, 547, 6108, 593, 1957, 3724, 9089, 454, 292, 935, 476, 1001, 6657, 4530, 476, 272, 7905, 966, 269, 7066, 3387, 26792, 631, 8085, 2316, 303, 4041, 8863, 302, 21201, 269, 7994, 519, 835, 4244, 602, 1655, 29349, 519, 3948, 610, 4267, 519, 2243, 269, 476, 272, 264, 2480, 19062, 666, 1655, 581, 3989, 607, 513, 3510, 538, 799, 912, 4488, 301, 476, 21854, 3848, 476, 276, 2259, 2042, 901, 568, 711, 1813, 585, 513, 3446, 476, 272, 269, 27539, 519, 3902, 540, 16741, 568, 1269, 273, 269, 876, 543, 519, 3902, 540, 2142, 518, 568, 1269, 272, 269, 876, 543, 602, 693, 707, 1699, 2157, 540, 4616, 267, 519, 12540, 1400, 7780, 1006, 454, 17273, 476, 272, 540, 476, 1704, 476, 272, 269, 27539, 519, 3902, 22786, 540, 3747, 585, 772, 2529, 269, 2605, 529, 23331, 3213, 269, 2605, 529, 32048, 568, 476, 271, 269, 276, 269, 1403, 519, 2754, 4679, 519, 3902, 540, 1142, 2605, 529, 23331, 689, 1269, 1321, 547, 1269, 1626, 267, 519, 1297, 540, 2605, 529, 32048, 18796, 786, 28206, 848, 454, 6637, 476, 275, 910, 4432, 2880, 640, 910, 12726, 5999, 631, 8085, 2316, 303, 4041, 8863, 302, 21201, 269, 7994, 519, 835, 4244, 602, 1655, 29349, 519, 3948, 610, 4267, 519, 2243, 269, 476, 272, 264, 634, 9386, 540, 513, 3747, 7455, 5673, 593, 589, 264, 519, 4559, 1031, 454, 17206, 540, 7414, 7232, 21643, 476, 7871, 17976, 11872, 1948, 1704, 594, 269, 4985, 547, 12525, 566, 6554, 4249, 606, 1271, 1909, 538, 1034, 2413, 11615, 269, 769, 519, 2136, 2276, 267, 519, 1909, 540, 519, 2229, 11498, 689, 454, 5715, 29924, 4354, 1407, 281, 1323, 7151, 630, 653, 269, 476, 4792, 268, 8064, 264, 10369, 31336, 589, 645, 667, 661, 717, 670, 19590, 540, 5253, 476, 736, 476, 1015, 476, 2412, 476, 1789, 476, 1015, 476, 1015, 19590, 540, 1849, 5847, 476, 1789, 476, 2004, 476, 736, 476, 2412, 476, 736, 476, 2412, 3848, 476, 274, 476, 272, 1473, 29924, 4354, 1407, 281, 1323, 7151, 630, 653, 269, 476, 4792, 268, 8064, 264, 8641, 519, 454, 24687, 593, 967, 29924, 7455, 2079, 540, 519, 3903, 1063, 16837, 543, 4074, 267, 543, 519, 4666, 7076, 2530, 540, 21259, 13744, 25234, 6359, 320, 901, 1383, 2982, 875, 547, 946, 513, 6578, 23061, 543, 967, 29924, 7455, 6516, 454, 6637, 476, 274, 634, 10417, 540, 4432, 2880, 640, 543, 19901, 543, 887, 706, 1356, 5080, 15200, 3848, 20505, 2991, 2542, 713, 3184, 596, 1058, 581, 2111, 547, 13760, 602, 22786, 267, 519, 30506, 540, 7274, 547, 2242, 454, 272, 1215, 547, 5530, 585, 4147, 476, 275, 281, 634, 10318, 514, 1218, 540, 24637, 543, 18242, 3848, 476, 275, 12857, 519, 2188, 602, 786, 6521, 519, 6521, 7132, 1079, 1007, 22786, 2035, 269, 476, 272, 269, 10670, 676, 3168, 936, 519, 20505, 7396, 454, 6224, 22790, 476, 278, 281, 12164, 306, 9331, 2207, 18688, 11190, 9654, 3036, 4985, 634, 7082, 568, 3844, 547, 513, 2344, 4346, 267, 543, 1620, 875, 6800, 1118, 741, 11449, 3664, 568, 519, 1883, 547, 1620, 3747, 269, 3848, 476, 278, 6941, 454, 292, 935, 476, 27183, 275, 12096, 476, 1220, 277, 4530, 476, 272, 3220, 269, 681, 6269, 8745, 6178, 623, 1578, 594, 723, 9444, 2016, 6862, 4607, 5351, 593, 713, 981, 13038, 14893, 5999, 630, 274, 2798, 1142, 264, 476, 272, 269, 1548, 596, 2285, 909, 547, 3489, 606, 6221, 568, 1572, 707, 589, 563, 25582, 476, 272, 281, 12793, 543, 12307, 17644, 281, 5623, 3252, 29130, 9781, 1210, 5276, 543, 13392, 3252, 14572, 4834, 543, 1949, 21909, 539, 30930, 3367, 902, 281, 3848, 476, 273, 281, 476, 273, 269, 272, 268, 273, 269, 273, 267, 543, 3848, 454, 6637, 476, 274, 10369, 24637, 267, 18242, 267, 543, 4432, 2880, 640, 2991, 2542, 3184, 476, 274, 267, 27107, 298, 4953, 667, 4932, 13263, 267, 590, 16810, 12195, 312, 267, 6730, 20700, 3008, 12087, 14510, 267, 596, 1058, 581, 2111, 547, 281, 9181, 519, 4521, 540, 24637, 543, 2721, 513, 24637, 4354, 557, 269, 31692, 880, 1063, 454, 320, 32516, 476, 277, 281, 20700, 3008, 12087, 14510, 267, 12164, 306, 9331, 2207, 590, 7838, 12195, 4785, 267, 6730, 11550, 23604, 2207, 590, 7838, 12195, 4785, 4985, 19901, 6114, 547, 2242, 538, 5777, 267, 26038, 267, 543, 5777, 540, 1644, 2472, 666, 581, 6045, 676, 519, 1523, 540, 22786, 563, 6637, 476, 275, 20700, 3008, 12087, 14510, 12313, 4432, 2880, 640, 540, 24637, 13445, 281, 634, 12313, 4432, 2880, 640, 540, 24637, 476, 272, 264, 634, 9386, 540, 513, 3747, 7455, 5673, 593, 589, 264, 519, 4559, 1031, 547, 2268, 3902, 543, 519, 4559, 1031, 547, 2268, 7274, 563, 20797, 13038, 14893, 5999, 12226, 616, 12050, 539, 269, 4112, 534, 725, 547, 2097, 4166, 8627, 1280, 811, 267, 5225, 3643, 281, 5291, 2517, 322, 12973, 6230, 1170, 712, 626, 622, 12975, 270, 7517, 11169, 523, 11305, 12973, 27160, 1723, 13679, 270, 336, 18091, 21867, 10369, 4982, 10329, 543, 10241, 454, 274, 24637, 267, 18242, 267, 543, 10369, 4982, 10329, 634, 3902, 540, 29877, 568, 536, 23395, 269, 589, 11304, 630, 273, 269, 273, 6550, 264, 540, 29877, 10365, 4421, 585, 1269, 2004, 538, 476, 1220, 271, 267, 855, 676, 476, 1220, 274, 519, 3902, 1185, 24111, 547, 1269, 4335, 829, 11304, 269, 634, 3902, 454, 291, 4932, 13263, 11123, 4488, 3008, 16249, 5291, 2517, 4178, 6745, 583, 3645, 338, 4812, 2593, 270, 2006, 4526, 658, 21223, 21643, 7933, 655, 663, 318, 1150, 26511, 21867, 14645, 18862, 4812, 2593, 24637, 24637, 568, 513, 4922, 1031, 2165, 267, 543, 538, 1455, 568, 2808, 24190, 609, 454, 6637, 476, 1556, 25783, 293, 17614, 19766, 292, 2316, 3582, 26269, 13445, 281, 17828, 26269, 476, 272, 264, 17828, 6735, 568, 606, 2872, 609, 589, 264, 513, 1906, 10909, 6721, 9838, 5370, 645, 264, 513, 1906, 10909, 6721, 5370, 602, 8428, 10169, 454, 299, 15145, 476, 273, 269, 12540, 1400, 12793, 267, 19105, 12793, 267, 4432, 2880, 640, 267, 519, 12540, 1400, 20232, 267, 543, 4790, 11712, 26659, 476, 273, 269, 272, 269, 4985, 14597, 602, 606, 2804, 2078, 666, 581, 4330, 676, 513, 1483, 29705, 4240, 454, 306, 1556, 4149, 14444, 318, 298, 2607, 2006, 273, 324, 318, 4916, 318, 2419, 272, 269, 336, 343, 335, 476, 280, 270, 1626, 270, 279, 476, 280, 281, 2641, 6751, 8525, 590, 268, 1556, 634, 21929, 19901, 3184, 281, 476, 272, 476, 272, 269, 1280, 1142, 540, 519, 1739, 3871, 267, 6430, 2436, 1325, 814, 2810, 267, 3586, 267, 610, 32033, 8589, 10626, 563, 300, 553, 776, 330, 2160, 910, 5696, 7224, 4972, 540, 13188, 20513, 540, 13188, 543, 10029, 645, 14154, 318, 300, 2975, 272, 5843, 31754, 476, 272, 12096, 12054, 6856, 476, 1001, 272, 15937, 11929, 910, 476, 4962, 269, 1321, 269, 1001, 272, 267, 476, 280, 281, 876, 268, 1015, 281, 1789, 513, 6230, 269, 4530, 589, 13832, 543, 16390, 912, 11243, 1106, 1297, 476, 272, 13188, 476, 1911, 288, 15937, 11929, 19130, 538, 519, 18616, 593, 707, 1085, 656 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 563, 14367, 1101, 1433, 729, 513, 1650, 267, 570, 2586, 689, 519, 2037, 5519, 630, 6245, 273, 1070, 543, 538, 476, 6245, 276, 646, 3370, 513, 13357, 267, 631, 867, 1042, 282, 855, 621, 729, 519, 8313, 540, 1010, 3440, 6758, 267, 1520, 18029, 1023, 2353, 630, 6245, 278, 1070, 602, 2813, 1010, 5339, 10639, 563, 309, 659, 4100, 30501, 267, 972, 616, 910, 3941, 267, 1728, 332, 985, 267, 13348, 5328, 9954, 267, 3440, 6758, 267, 11430, 3740, 543, 1705, 12519, 9954, 267, 930, 540, 873, 1851, 519, 1034, 4190, 538, 519, 1893, 563, 3891, 6394, 681, 3861, 1014, 2442, 8964, 543, 22176, 322, 268, 3440, 6758, 630, 291, 727, 267, 476, 7277, 275, 264, 630, 299, 997, 1090, 1470, 732, 267, 476, 6977, 274, 1916, 763, 4015, 540, 18912, 8941, 3323, 2663, 982, 602, 540, 519, 3440, 6758, 563, 16449, 1010, 824, 11430, 3740, 12531, 267, 540, 7389, 4505, 982, 519, 6406, 2782, 267, 941, 700, 904, 540, 1250, 5851, 630, 7277, 274, 1070, 966, 7860, 540, 15213, 630, 7277, 277, 1070, 14576, 338, 540, 8534, 630, 6977, 271, 1070, 634, 30989, 540, 519, 19555, 1080, 630, 6977, 274, 1070, 634, 7754, 528, 4821, 630, 6977, 277, 1070, 5851, 11831, 6758, 630, 5908, 271, 1916, 2026, 513, 10564, 646, 729, 9247, 513, 3440, 611, 626, 267, 609, 519, 24966, 540, 1010, 7907, 282, 543, 1010, 3440, 6758, 267, 538, 741, 5191, 267, 14255, 25771, 23439, 2946, 267, 1256, 538, 741, 3768, 826, 3259, 267, 616, 1851, 519, 1906, 2413, 1806, 540, 5667, 2684, 10184, 14235, 563, 2005, 568, 2556, 1657, 782, 547, 2015, 519, 6935, 540, 513, 1004, 781, 1296, 540, 2208, 543, 7542, 618, 547, 519, 5152, 799, 4564, 873, 282, 585, 538, 519, 12490, 540, 1733, 8636, 1512, 267, 811, 982, 538, 1346, 540, 1022, 824, 476, 866, 628, 10601, 11430, 2077, 267, 519, 6031, 540, 674, 2280, 7815, 540, 17865, 1735, 607, 547, 519, 3440, 6758, 543, 4031, 540, 513, 4182, 9060, 513, 8978, 14745, 563, 5591, 5880, 1228, 2479, 1185, 513, 1854, 518, 31444, 622, 982, 519, 2278, 540, 834, 634, 9098, 32013, 12624, 2437, 834, 634, 12815, 7394, 14594, 834, 910, 835, 540, 1010, 588, 15781, 3440, 6758, 1996, 513, 942, 1606, 6326, 5783, 268, 834, 589, 590, 30117, 26657, 2437, 543, 834, 634, 6215, 2314, 540, 9410, 1664, 4799, 10214, 519, 20048, 1834, 3587, 803, 698, 516, 513, 1906, 1296, 1310, 21238, 338, 2669, 267, 543, 922, 1871, 5673, 7361, 2390, 519, 3440, 6758, 799, 621, 16621, 282, 6862, 568, 621, 1570, 569, 29979, 676, 519, 2729, 540, 853, 14480, 16330, 267, 585, 688, 22080, 5505, 723, 2760, 5701, 3140, 6111, 607, 513, 2339, 540, 4090, 282, 543, 938, 1702, 540, 519, 2063, 2540, 540, 17454, 306, 19414, 1686, 568, 6508, 5631, 689, 17454, 9539, 768, 534, 5830, 945, 5206, 1310, 519, 22374, 1230, 26810, 563, 763, 5212, 525, 799, 646, 3370, 693, 519, 2085, 540, 8938, 267, 8098, 10928, 585, 741, 21245, 535, 969, 712, 543, 21711, 267, 1522, 723, 1044, 8806, 519, 960, 540, 513, 14952, 331, 748, 7911, 282, 519, 3440, 6758, 799, 4553, 873, 1079, 1296, 2663, 7000, 1864, 607, 513, 1390, 10564, 267, 513, 2067, 4487, 540, 11430, 878, 543, 3860, 5152, 563, 289, 4650, 3440, 6758, 19582, 513, 10058, 1747, 538, 2296, 3332, 563, 288, 340, 8538, 778, 543, 1955, 1067, 10458, 267, 543, 585, 3875, 3440, 6758, 267, 540, 799, 930, 2611, 1360, 2442, 538, 5125, 630, 5408, 17012, 651, 267, 27055, 553, 670, 21580, 708, 700, 1221, 324, 267, 769, 985, 321, 30638, 267, 476, 6642, 275, 1916, 289, 12360, 30532, 324, 5206, 3303, 1243, 1219, 1878, 540, 29842, 534, 9753, 543, 3370, 1896, 12531, 540, 14235, 267, 16113, 4168, 11831, 6758, 630, 7277, 276, 1916, 763, 4367, 540, 519, 546, 11961, 267, 3440, 6758, 630, 528, 585, 333, 330, 17771, 2664, 267, 607, 789, 616, 1631, 1572, 264, 585, 13465, 267, 609, 513, 11411, 267, 2356, 11341, 547, 513, 2648, 2389, 1446, 267, 799, 941, 30140, 2442, 609, 519, 1004, 543, 5340, 676, 2898, 3549, 693, 12311, 26204, 267, 586, 2544, 905, 6814, 543, 519, 899, 267, 1185, 2124, 326, 730, 519, 2834, 19360, 545, 6965, 547, 811, 3978, 2621, 610, 547, 519, 811, 16916, 540, 519, 8783, 338, 563, 1103, 19220, 540, 519, 1082, 2168, 11605, 525, 602, 26693, 2390, 519, 6532, 267, 3440, 6758, 630, 1721, 333, 330, 17771, 2664, 264, 941, 1869, 2854, 267, 2781, 2084, 827, 476, 11260, 271, 267, 26079, 584, 7768, 267, 543, 811, 14969, 15885, 3370, 563, 8170, 1010, 9954, 949, 581, 5018, 634, 744, 987, 267, 513, 3126, 540, 1034, 4190, 3440, 6758, 267, 609, 513, 911, 326, 673, 2648, 3613, 800, 540, 519, 476, 1704, 628, 2540, 607, 741, 3490, 267, 855, 609, 1082, 543, 6126, 30237, 673, 782, 16272, 547, 2413, 1272, 282, 808, 302, 745, 526, 337, 267, 513, 1279, 6648, 827, 519, 20903, 4622, 267, 519, 20636, 19266, 622, 808, 3073, 27255, 267, 945, 5176, 16309, 538, 1818, 5128, 519, 4487, 540, 19360, 267, 543, 634, 674, 622, 540, 519, 29331, 543, 634, 9093, 540, 519, 4639, 630, 1492, 4892, 1070, 1079, 9954, 799, 267, 609, 741, 4550, 12641, 518, 673, 543, 3368, 1606, 3469, 2065, 21274, 267, 723, 3361, 2178, 17600, 689, 31249, 13162, 534, 23464, 563, 5472, 5049, 10508, 538, 6217, 610, 703, 11238, 519, 11995, 32741, 799, 8661, 519, 905, 1846, 540, 741, 3084, 12325, 282, 585, 1169, 3020, 5395, 321, 2729, 607, 1454, 538, 519, 2250, 607, 538, 519, 1459, 267, 543, 10120, 10617, 1869, 7683, 29939, 4798, 540, 1007, 17691, 543, 3440, 6758, 563, 21132, 1686, 568, 967, 1170, 565, 889, 569, 954, 342, 8576, 609, 602, 540, 519, 853, 758, 822, 857, 267, 799, 6038, 25436, 17660, 621, 267, 543, 2968, 519, 5339, 1893, 540, 782, 519, 5395, 2692, 290, 549, 1846, 267, 607, 621, 1185, 1279, 1044, 519, 1893, 540, 519, 1655, 3084, 3440, 6758, 543, 17691, 563, 1607, 7415, 6648, 267, 2854, 538, 519, 25451, 540, 519, 2025, 4419, 1014, 3440, 6758, 267, 3947, 513, 12667, 6609, 540, 1272, 538, 18548, 11844, 896, 15349, 4341, 267, 543, 540, 519, 22420, 8473, 21535, 338, 1063, 10271, 543, 17018, 548, 916, 269, 769, 2663, 1272, 631, 1794, 584, 23307, 13747, 5128, 607, 513, 2829, 2006, 267, 543, 2968, 7333, 540, 23886, 807, 689, 476, 6942, 274, 547, 476, 6642, 271, 563, 763, 6648, 267, 2687, 547, 700, 778, 10458, 267, 729, 1759, 593, 930, 8938, 2442, 3440, 6758, 267, 8385, 19942, 1524, 30375, 267, 855, 2854, 1524, 827, 476, 15686, 271, 610, 476, 6344, 271, 563, 763, 476, 15094, 3515, 602, 1246, 616, 2854, 538, 22565, 7008, 1206, 538, 519, 2511, 540, 519, 2442, 3440, 6758, 1455, 547, 519, 1974, 563, 295, 14019, 22283, 538, 13465, 13677, 3440, 6758, 267, 609, 8216, 1967, 563, 5445, 7618, 513, 2370, 3787, 540, 2038, 623, 1460, 625, 11544, 9543, 855, 20807, 532, 3440, 6758, 799, 10393, 1011, 1712, 883, 13176, 6846, 563, 3891, 20866, 4797, 547, 17492, 10156, 3440, 6758, 1759, 5097, 593, 27079, 5389, 563, 2005, 729, 1101, 3370, 538, 11430, 3740, 3440, 6758, 267, 609, 513, 1906, 824, 9954, 538, 476, 9692, 279, 563, 12507, 1399, 781, 2549, 523, 14674, 621, 538, 476, 736, 1913, 700, 1947, 681, 261, 289, 26107, 609, 513, 1906, 14887, 9997, 995, 3440, 6758, 547, 948, 3666, 1919, 856, 563, 288, 2484, 3956, 689, 519, 11509, 21088, 3440, 6758, 547, 1246, 563, 3891, 7691, 602, 1010, 2511, 729, 811, 14018, 547, 3500, 267, 2366, 14939, 3440, 6758, 267, 799, 2968, 1010, 22028, 563, 302, 12118, 7140, 538, 513, 5266, 22161, 8826, 2034, 2594, 267, 4904, 609, 2462, 267, 32154, 3440, 6758, 3079, 540, 678, 6235, 4224, 619, 563, 4517, 22556, 267, 972, 781, 513, 2603, 540, 27277, 267, 1175, 607, 972, 616, 513, 2603, 540, 23836, 4571, 2389, 11391, 334, 3440, 6758, 563, 10000, 2394, 4873, 476, 1220, 272, 649, 723, 1336, 1614, 3440, 6758, 543, 1614, 7803, 3376, 338, 1938, 799, 616, 6131, 547, 5261, 6022, 1067, 563, 5591, 269, 736, 910, 634, 25725, 667, 913, 630, 305, 3716, 476, 32455, 264, 910, 713, 2442, 561, 3512, 568, 3254, 547, 723, 7960, 689, 27867, 2540, 3376, 2515, 3440, 6758, 563, 763, 476, 15094, 3515, 602, 1246, 616, 2854, 538, 6586, 2719, 7008, 1206, 538, 519, 2511, 540, 519, 2442, 3440, 6758, 1455, 547, 519, 1974, 563, 5445, 849, 723, 513, 2647, 27132, 543, 2709, 1312, 5256, 543, 4775, 4938, 1023, 267, 3501, 585, 973, 11661, 1346, 5256, 11721, 24580, 5918, 657, 543, 3440, 6758, 563, 4517, 972, 616, 930, 24215, 2178, 543, 18991, 5283, 21288, 543, 3001, 3440, 6758, 971, 607, 1412, 296, 3513, 5700, 1412, 4586, 5226, 924, 5693, 267, 1093, 2286, 3440, 6758, 19582, 513, 13395, 540, 741, 1378, 538, 3376, 2515, 8228, 2474, 563, 13706, 267, 585, 1383, 267, 519, 3440, 6758, 540, 930, 540, 519, 11509, 15023, 563, 14549, 9605, 8711, 782, 634, 8871, 1047, 781, 9342, 267, 1519, 782, 13050, 4224, 619, 267, 12636, 32688, 3440, 6758, 543, 6905, 3134, 923, 563, 2521, 2347, 1151, 657, 538, 513, 3099, 540, 6163, 689, 3440, 6758, 547, 2826, 16647, 782, 713, 6462, 609, 13176, 29601, 563, 14367, 3159, 729, 2283, 783, 543, 3826, 1506, 267, 5594, 4652, 21682, 267, 543, 646, 729, 513, 1390, 1685, 518, 540, 3440, 6758, 563, 27001, 476, 9873, 271, 543, 476, 5611, 271, 267, 2705, 267, 621, 568, 9277, 602, 519, 918, 10937, 655, 701, 6665, 518, 267, 610, 20636, 3440, 6758, 267, 513, 1804, 4015, 540, 827, 1924, 334, 3134, 673, 543, 11430, 3740, 9954, 267, 941, 8385, 7768, 267, 543, 891, 1106, 519, 1034, 10475, 9371, 540, 519, 16862, 540, 519, 1647, 6502, 267, 2436, 24565, 13840, 610, 10564, 1227, 563, 1103, 713, 1259, 267, 4352, 519, 3504, 3440, 6758, 616, 711, 16618, 267, 1007, 1913, 616, 849, 19034, 547, 519, 27674, 633, 12563, 2389, 17480, 630, 325, 15606, 264, 799, 1169, 3484, 11804, 6487, 543, 521, 902, 267, 10483, 3006, 676, 513, 678, 8775, 5587, 6839, 610, 9126, 335, 6346, 267, 855, 811, 4749, 676, 519, 865, 10777, 14082, 13176, 910, 606, 6293, 799, 20998, 513, 8260, 22223, 2864, 982, 519, 1368, 527, 1513, 540, 7977, 543, 8050, 563, 14549, 9605, 8711, 782, 634, 8871, 1047, 1412, 338, 9342, 267, 1519, 782, 13050, 4224, 619, 267, 12636, 32688, 3440, 6758, 543, 6905, 3134, 923, 563, 2467, 616, 536, 1735, 1097, 5824, 1402, 2338, 267, 6404, 609, 9997, 995, 3440, 6758, 563, 9202, 519, 1305, 3459, 547, 3500, 1524, 609, 513, 3126, 540, 14887, 267, 811, 10847, 995, 267, 3440, 6758, 563, 22832, 18671, 660, 568, 3743, 585, 835, 540, 519, 1034, 11509, 3440, 6758, 538, 2487, 1296, 267, 2943, 952, 1010, 4876, 1185, 1044, 6074, 676, 1010, 4651, 267, 646, 1131, 2760, 723, 22002, 2575, 693, 782, 563, 298, 10154, 781, 2575, 568, 606, 4277, 3575, 540, 7920, 569, 6653, 267, 16367, 2648, 3440, 6758, 543, 1187, 267, 1769, 27329, 2206, 8584, 17489, 8964, 563, 290, 761, 923, 1572, 1200, 3440, 6758, 834, 333, 1021, 908, 257, 543, 1767, 789, 941, 5340, 609, 834, 338, 4428, 20814, 3318, 1143, 4799, 3891, 814, 5950, 1079, 11549, 4548, 2407, 540, 8964, 543, 3440, 6758, 563, 13014, 21363, 3440, 6758, 610, 513, 4224, 514, 262, 19820, 267, 782, 609, 519, 3710, 2987, 28416, 543, 5905, 5496, 563, 30761, 6758, 267, 540, 1576, 267, 616, 14095, 609, 5078, 3515, 267, 2705, 267, 713, 1281, 711, 23868, 824, 8964, 563, 763, 7432, 1448, 538, 519, 27124, 9469, 1167, 2762, 729, 1520, 648, 267, 606, 17581, 540, 4158, 267, 11430, 3740, 3440, 6758, 4904, 609, 7553, 563, 2467, 616, 513, 1434, 5542, 540, 8964, 585, 1022, 31177, 6953, 641, 543, 681, 261, 289, 10178, 267, 609, 930, 8964, 4881, 607, 3440, 6758, 543, 1866, 4881, 513, 2370, 9875, 563, 2005, 781, 1869, 5631, 513, 31177, 6953, 641, 543, 681, 261, 289, 2861, 3280, 10177, 1188, 267, 855, 899, 519, 1101, 3280, 10177, 1188, 267, 814, 3440, 6758, 543, 14887, 8964, 602, 3666, 856, 519, 17581, 563, 1805, 571, 697, 781, 2575, 568, 513, 7848, 540, 2197, 2575, 6163, 1519, 4378, 5652, 268, 2023, 330, 267, 7262, 18711, 267, 543, 2757, 3440, 6758, 563, 1607, 17581, 729, 513, 22576, 689, 1034, 540, 519, 1866, 607, 621, 12286, 6140, 3440, 6758, 543, 3929, 13475, 267, 8272, 337, 1681, 519, 1543, 540, 519, 3803, 4670, 563 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 8021, 543, 10459, 540, 519, 20708, 625, 269, 769, 942, 267, 519, 5783, 13151, 3518, 539, 547, 519, 3046, 8663, 545, 7506, 540, 519, 9518, 1359, 25384, 21847, 267, 607, 25384, 1143, 1336, 922, 1259, 883, 1082, 2853, 540, 519, 5783, 563, 763, 11193, 729, 4535, 538, 519, 12687, 540, 519, 4563, 12280, 267, 799, 25626, 2342, 538, 519, 4571, 21144, 18818, 2540, 282, 1063, 476, 16328, 279, 543, 476, 15389, 278, 930, 17288, 2600, 540, 519, 2518, 2551, 729, 4503, 269, 2060, 519, 1439, 540, 519, 1773, 6558, 267, 519, 2229, 3459, 547, 24644, 543, 3486, 4123, 3459, 547, 10836, 269, 2060, 4123, 267, 2792, 543, 513, 4110, 540, 7254, 640, 538, 2229, 267, 519, 5259, 18544, 941, 2699, 4593, 2642, 282, 519, 11193, 19806, 15701, 563, 1607, 556, 11779, 1782, 540, 2229, 543, 1565, 3459, 547, 708, 6961, 519, 2603, 540, 18495, 269, 19630, 1143, 8719, 14603, 1143, 543, 606, 8561, 593, 519, 15683, 543, 4502, 540, 8103, 7153, 282, 812, 1185, 1761, 585, 513, 1434, 1272, 1631, 267, 711, 3274, 538, 519, 1934, 12898, 563, 763, 3942, 729, 1305, 585, 1480, 1143, 267, 799, 693, 2295, 14064, 1881, 2043, 1996, 519, 834, 15965, 710, 1318, 257, 2278, 23540, 540, 5783, 543, 1533, 269, 898, 568, 1271, 547, 4063, 602, 1480, 1143, 729, 711, 267, 538, 3294, 267, 30137, 547, 8567, 269, 3509, 540, 519, 1390, 8279, 540, 519, 17557, 26746, 941, 1480, 1235, 267, 3843, 547, 7947, 519, 17282, 540, 519, 18348, 5783, 609, 519, 1769, 540, 1702, 12873, 689, 5259, 25196, 269, 634, 11193, 4847, 519, 6392, 540, 519, 5783, 547, 581, 13934, 676, 3401, 540, 519, 17557, 26746, 1765, 5443, 899, 3627, 654, 5670, 858, 324, 267, 9410, 13162, 543, 21853, 5341, 2098, 9405, 2993, 563, 3528, 476, 5611, 271, 589, 6185, 1421, 4789, 1185, 7960, 689, 513, 21432, 267, 22266, 21535, 16117, 630, 324, 697, 540, 519, 29933, 15438, 945, 12199, 4789, 1063, 476, 11793, 277, 543, 476, 16825, 276, 5747, 10795, 7972, 264, 883, 513, 25931, 2229, 269, 8361, 24163, 13264, 609, 519, 4936, 7826, 5783, 538, 476, 14631, 275, 269, 634, 2063, 1934, 6776, 729, 14616, 538, 4789, 538, 476, 14065, 271, 543, 519, 8830, 11939, 7169, 2366, 519, 15815, 15317, 18971, 547, 3013, 538, 476, 14341, 271, 269, 634, 2011, 540, 3909, 5191, 3361, 519, 2296, 25931, 2486, 547, 2243, 875, 2484, 519, 556, 4146, 540, 519, 5783, 1058, 581, 4847, 547, 979, 269, 1358, 4956, 972, 1223, 581, 1100, 7182, 454, 19950, 5944, 267, 1082, 540, 519, 6932, 1390, 3744, 941, 7184, 3909, 281, 31595, 267, 7917, 15196, 548, 543, 267, 5310, 519, 6574, 540, 782, 267, 11184, 21469, 13053, 269, 630, 6097, 547, 835, 3140, 2272, 267, 693, 519, 1439, 540, 1010, 1272, 13053, 6170, 811, 942, 4974, 543, 1603, 827, 519, 6426, 982, 646, 1705, 2257, 8094, 2005, 729, 13053, 267, 4401, 1227, 267, 945, 9788, 519, 13654, 2257, 602, 1131, 581, 1031, 547, 896, 326, 2273, 519, 16712, 1143, 540, 2221, 269, 13053, 781, 10988, 760, 807, 4223, 11490, 320, 630, 12739, 278, 264, 4330, 519, 4031, 540, 5163, 543, 513, 9219, 1740, 7122, 269, 1280, 13053, 267, 519, 7122, 729, 2963, 585, 513, 29763, 2696, 269, 10251, 267, 1866, 1031, 13053, 781, 6436, 547, 4766, 519, 7122, 607, 513, 3684, 602, 1223, 1205, 2059, 1510, 2696, 563, 763, 27867, 2540, 2968, 1634, 607, 519, 6520, 540, 17217, 282, 519, 22733, 267, 519, 21654, 267, 607, 3744, 17388, 547, 1174, 519, 1007, 7122, 602, 7902, 538, 741, 9145, 8554, 543, 24985, 269, 22582, 519, 1158, 729, 28222, 811, 1950, 543, 8748, 982, 4896, 1185, 16545, 269, 10515, 1716, 16307, 7000, 602, 519, 3618, 729, 711, 519, 4099, 540, 519, 7122, 269, 4658, 3459, 547, 2243, 519, 13400, 2272, 540, 5137, 269, 16393, 972, 581, 1776, 7778, 585, 519, 7122, 286, 1403, 519, 6426, 1058, 6961, 547, 581, 4636, 827, 519, 1570, 1158, 267, 1223, 621, 581, 4636, 827, 519, 1360, 2470, 540, 2696, 888, 2005, 568, 1271, 547, 8275, 602, 1454, 540, 1018, 10120, 812, 2219, 519, 6426, 6026, 827, 519, 7122, 729, 711, 1018, 519, 6426, 6026, 693, 782, 269, 13298, 267, 621, 729, 1018, 519, 4540, 5783, 19451, 569, 6956, 519, 6426, 547, 4001, 269, 1879, 31595, 3357, 883, 4655, 609, 519, 4936, 7826, 5783, 267, 646, 729, 711, 538, 4655, 609, 519, 6426, 267, 855, 609, 20093, 821, 748, 2915, 15122, 2035, 602, 519, 5783, 17947, 563, 763, 5783, 267, 538, 824, 1913, 267, 1185, 1031, 519, 6426, 547, 19472, 25768, 10120, 2257, 269, 898, 1631, 1336, 3294, 2915, 3901, 1227, 4448, 547, 606, 18106, 2257, 543, 8572, 547, 1577, 979, 269, 3509, 540, 519, 1007, 3744, 15653, 711, 1018, 519, 6426, 10294, 267, 855, 1018, 519, 5783, 10294, 269, 2334, 11029, 11984, 729, 267, 875, 2479, 267, 1419, 11389, 322, 1758, 1242, 538, 1018, 729, 5935, 909, 547, 581, 513, 6370, 1063, 2257, 543, 2696, 563, 763, 1101, 1900, 4724, 1110, 655, 19473, 1143, 729, 547, 21199, 519, 1702, 540, 519, 13400, 2696, 607, 29763, 543, 2844, 518, 540, 1272, 267, 543, 607, 5837, 1876, 326, 1853, 269, 1306, 1480, 1143, 14064, 1881, 630, 663, 1419, 4998, 1242, 264, 812, 267, 621, 3366, 930, 547, 2307, 952, 789, 1223, 711, 1265, 2696, 1510, 519, 10148, 540, 4168, 2915, 2742, 269, 4256, 1523, 540, 519, 834, 333, 984, 548, 5260, 720, 257, 11516, 3481, 705, 13092, 812, 607, 519, 4865, 528, 540, 513, 834, 11499, 4984, 257, 602, 4847, 1864, 547, 10847, 2696, 1318, 569, 1510, 513, 6426, 610, 824, 1808, 13414, 689, 2696, 269, 901, 1899, 540, 3206, 3366, 547, 632, 1143, 267, 799, 608, 11079, 2696, 689, 519, 25029, 540, 519, 7122, 563, 16631, 18617, 632, 1235, 602, 519, 7122, 729, 513, 3684, 269, 1809, 513, 3684, 1223, 711, 1711, 3294, 281, 1703, 1185, 547, 581, 513, 29763, 9789, 3689, 20531, 269, 634, 7122, 5249, 865, 1134, 543, 676, 971, 10143, 569, 3964, 4031, 602, 789, 4956, 2696, 267, 945, 729, 2556, 547, 1711, 621, 267, 729, 1175, 607, 11991, 547, 2226, 621, 269, 634, 7122, 5249, 1932, 1134, 282, 2696, 1185, 1831, 15988, 1663, 748, 256, 2696, 2968, 519, 834, 306, 1575, 3153, 11115, 545, 2437, 519, 834, 19667, 710, 13772, 20447, 1701, 4658, 3459, 547, 1413, 1369, 2933, 585, 513, 2631, 540, 13919, 563, 24464, 899, 3627, 28676, 540, 4789, 267, 5292, 3279, 790, 540, 5333, 543, 7338, 16962, 540, 3013, 941, 7986, 632, 1235, 269, 1358, 2978, 1819, 585, 4708, 267, 5126, 543, 13919, 267, 1247, 1085, 528, 940, 519, 7000, 4984, 540, 8567, 269, 5292, 3279, 790, 729, 519, 1034, 10795, 538, 1010, 11685, 267, 6031, 540, 519, 4168, 5783, 267, 834, 24979, 2313, 519, 25337, 3364, 10590, 32672, 4705, 4984, 9789, 4984, 540, 519, 6196, 543, 1715, 4530, 14613, 1765, 13195, 2938, 607, 519, 25710, 4185, 547, 519, 2696, 540, 2601, 543, 21481, 563, 5719, 1143, 8959, 1317, 621, 729, 513, 14207, 2990, 269, 634, 632, 1235, 267, 10205, 532, 13414, 267, 5555, 1185, 547, 3442, 581, 649, 523, 16712, 1143, 610, 1624, 738, 1143, 563, 763, 1847, 547, 2407, 16712, 1143, 568, 2938, 538, 6424, 670, 2541, 267, 519, 13677, 14787, 543, 14544, 945, 5206, 4828, 593, 21001, 3380, 538, 476, 14690, 279, 269, 670, 2541, 543, 1866, 3459, 547, 1628, 513, 3760, 540, 3332, 585, 16712, 1143, 269, 1677, 798, 865, 267, 789, 2877, 547, 13720, 519, 7440, 540, 8567, 269, 1358, 2877, 606, 4244, 547, 519, 4168, 7778, 711, 1152, 585, 519, 6988, 543, 5898, 540, 519, 7122, 267, 855, 849, 585, 519, 3929, 543, 7499, 2470, 540, 519, 1480, 2247, 269, 1358, 17388, 609, 713, 3069, 540, 2247, 1765, 339, 3736, 1572, 6530, 269, 13966, 2515, 741, 4528, 540, 519, 13053, 1014, 834, 16447, 3684, 2437, 789, 2919, 922, 6697, 281, 519, 1480, 2247, 3684, 563, 1432, 24084, 2989, 30921, 26218, 729, 513, 19618, 3069, 602, 1223, 2272, 585, 519, 4898, 543, 6988, 540, 519, 1480, 2247, 543, 1560, 1510, 2696, 269, 1215, 1223, 1570, 4229, 4805, 2272, 585, 782, 519, 13300, 540, 519, 7122, 286, 1215, 1223, 789, 2491, 519, 7122, 267, 1519, 3662, 543, 1480, 1272, 267, 1510, 2696, 888, 4322, 2055, 941, 12943, 585, 873, 538, 476, 6977, 280, 676, 8176, 16817, 269, 3571, 3069, 827, 4720, 2451, 606, 1651, 531, 1529, 762, 1764, 593, 5375, 2528, 269, 1284, 786, 3136, 609, 519, 16712, 1235, 262, 2178, 16126, 593, 4720, 543, 2253, 547, 1294, 875, 547, 8396, 621, 538, 519, 1985, 3184, 269, 0, 13233, 1977, 4095, 11595, 13600, 476, 1001, 271, 968, 7468, 728, 538, 938, 11595, 268, 27254, 547, 938, 1323, 6827, 832, 892, 772, 2529, 269, 31654, 1682, 27079, 543, 27079, 10466, 8433, 540, 16844, 543, 6406, 7126, 630, 291, 10135, 1040, 2817, 1977, 4095, 11595, 13600, 5437, 476, 1001, 271, 563, 13233, 1977, 4095, 11595, 13600, 476, 1001, 271, 2108, 7468, 728, 538, 938, 11595, 268, 27254, 547, 938, 1323, 6827, 832, 892, 308, 2529, 269, 31654, 1682, 27079, 543, 27079, 10466, 19423, 823, 540, 16844, 543, 6406, 7126, 630, 291, 10135, 994, 4263, 772, 2529, 269, 31654, 1682, 543, 27079, 10466, 630, 290, 21990, 1070, 649, 3494, 602, 938, 4763, 568, 938, 4222, 269, 595, 21990, 568, 8149, 547, 3246, 2686, 4656, 2238, 543, 3872, 1344, 547, 595, 21990, 5520, 1317, 649, 3494, 602, 676, 2870, 543, 4509, 606, 1604, 540, 2686, 21711, 649, 1332, 6793, 607, 606, 3919, 563, 13233, 1977, 4095, 11595, 13600, 22842, 267, 17767, 543, 26549, 519, 18517, 543, 7418, 540, 519, 1004, 945, 941, 519, 3312, 11317, 267, 17701, 543, 13896, 540, 519, 2136, 2276, 540, 3013, 269, 901, 1032, 779, 2817, 1977, 4095, 11595, 13600, 27484, 568, 267, 968, 7468, 728, 538, 938, 11595, 6953, 517, 528, 547, 938, 1323, 6827, 832, 1848, 901, 6249, 17767, 602, 1977, 12075, 3136, 547, 3337, 938, 2486, 676, 8497, 519, 6561, 540, 741, 11937, 563, 1607, 6881, 568, 2966, 547, 1683, 596, 609, 513, 5618, 7650, 540, 1977, 4095, 1686, 267, 2528, 543, 4978, 563, 2171, 4126, 596, 1265, 713, 6881, 3872, 543, 19278, 563, 13233, 1977, 4095, 11595, 13600, 5437, 476, 1001, 271, 454, 2108, 4131, 721, 2322, 938, 8186, 1927, 543, 1294, 1018, 1272, 649, 666, 1118, 585, 938, 1453, 3034, 307, 520, 17249, 594, 344, 582, 10440, 267, 630, 306, 9231, 18409, 994, 13233, 1977, 4095, 11595, 13600, 5437, 476, 1001, 271, 454, 6097, 547, 519, 7732, 540, 6837, 267, 2817, 1977, 4095, 11595, 13600, 568, 2392, 730, 609, 513, 3018, 14075, 2616, 766, 269, 769, 476, 2735, 277, 6837, 5293, 5398, 4521, 476, 4200, 268, 5325, 272, 2278, 1944, 543, 31392, 5518, 30370, 31144, 547, 605, 8010, 519, 3018, 540, 5437, 476, 2537, 268, 1789, 607, 1977, 4095, 10432, 563, 1103, 476, 2735, 277, 5518, 31144, 9783, 519, 1101, 30814, 1160, 17474, 476, 4649, 278, 278, 605, 8010, 532, 519, 1101, 1977, 4095, 10432, 269, 9050, 1296, 2663, 267, 538, 476, 1960, 271, 5518, 6723, 670, 15030, 269, 17312, 9896, 883, 1876, 513, 4745, 6571, 1374, 908, 519, 3923, 540, 5437, 607, 519, 1101, 2817, 1977, 4095, 11595, 13600, 269, 634, 6837, 1336, 713, 3923, 547, 581, 581, 7257, 1154, 2094, 5437, 568, 513, 942, 540, 21175, 543, 621, 849, 20147, 519, 2757, 7556, 4005, 563, 2467, 616, 1082, 7111, 1977, 4095, 11031, 1472, 519, 2136, 2276, 543, 609, 1114, 11031, 2097, 1114, 4978, 269, 3509, 5289, 30304, 602, 616, 1031, 538, 930, 11031, 941, 711, 8209, 1031, 538, 1866, 269, 3962, 14316, 814, 741, 1378, 1062, 540, 4978, 267, 12115, 902, 267, 2853, 543, 9184, 30139, 602, 789, 723, 547, 1246, 563, 763, 4095, 5133, 827, 1072, 568, 602, 1142, 1268, 568, 32375, 543, 9308, 4448, 547, 2470, 267, 543, 5713, 607, 606, 20032, 540, 5348, 1458, 1063, 519, 2609, 543, 519, 2168, 1373, 267, 26621, 12624, 3047, 543, 1200, 27067, 563, 2467, 568, 513, 3661, 538, 513, 2362, 1379, 267, 3006, 1572, 2696, 267, 610, 634, 29763, 267, 610, 634, 4279, 25491, 1851, 824, 16301, 269, 769, 3909, 18428, 519, 5171, 4126, 547, 1289, 547, 2247, 602, 789, 616, 1644, 547, 782, 1919, 267, 602, 782, 519, 9082, 616, 14077, 563, 30943, 1977, 12075, 8661, 1082, 1114, 2853, 543, 18428, 267, 799, 1331, 912, 1805, 800, 8346, 1299, 19088, 673, 23046, 281, 27884, 676, 22242, 610, 17174, 3401, 5950, 5289, 9465, 543, 10299, 7326, 547, 1346, 538, 4057, 1072, 563, 8269, 619, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3390, 693, 1688, 267, 543, 1810, 1405, 2247, 1250, 1268, 269, 1284, 1810, 1405, 991, 547, 1491, 538, 1022, 4832, 1151, 560, 823, 267, 1175, 519, 3141, 781, 3232, 7805, 2619, 269, 594, 1810, 1405, 1294, 1022, 4909, 5470, 538, 1018, 594, 723, 1767, 267, 1256, 952, 519, 5858, 602, 519, 3141, 2306, 3884, 1405, 4010, 519, 1482, 607, 20337, 267, 1317, 519, 3047, 781, 7852, 540, 10047, 568, 21266, 1540, 267, 621, 568, 1869, 513, 5858, 1472, 519, 3618, 269, 2201, 713, 5858, 3141, 568, 2899, 513, 1554, 16841, 269, 1656, 4061, 519, 1964, 540, 1018, 594, 723, 1767, 568, 1869, 4570, 563, 11039, 4849, 585, 835, 3364, 269, 2659, 4087, 585, 24398, 5681, 518, 340, 786, 711, 25401, 2244, 593, 519, 3345, 610, 3162, 18635, 267, 621, 1131, 581, 593, 519, 17772, 328, 10364, 15393, 267, 3976, 621, 1131, 581, 12341, 593, 2901, 519, 11848, 17781, 610, 519, 21303, 17781, 267, 799, 1797, 972, 568, 827, 606, 476, 3199, 260, 4960, 519, 4087, 11311, 676, 707, 7097, 1116, 2079, 568, 538, 1930, 5836, 269, 1937, 572, 267, 1813, 547, 840, 20896, 267, 602, 4087, 4955, 6233, 1472, 519, 630, 12901, 264, 6635, 8157, 17781, 2899, 1169, 476, 2537, 267, 1822, 1296, 610, 865, 267, 799, 538, 2490, 1797, 602, 24398, 5681, 518, 340, 267, 16382, 621, 568, 267, 814, 6410, 7366, 540, 5195, 2094, 519, 942, 519, 30920, 941, 1101, 2854, 1524, 563, 3086, 649, 917, 602, 519, 4087, 666, 1405, 581, 519, 5087, 15393, 585, 519, 2241, 2601, 602, 972, 568, 1100, 2244, 585, 7366, 540, 5195, 267, 6148, 1256, 5215, 267, 1472, 519, 5087, 15393, 269, 1656, 621, 666, 1405, 581, 693, 519, 3162, 24504, 1317, 519, 1858, 568, 9247, 6366, 585, 7366, 540, 5195, 538, 782, 8846, 269, 898, 666, 1405, 581, 593, 519, 17772, 328, 10364, 18635, 2901, 267, 607, 3254, 1657, 267, 1317, 602, 3947, 721, 513, 29595, 24398, 5681, 518, 340, 269, 769, 2110, 267, 972, 568, 1100, 10257, 4087, 585, 24398, 5681, 518, 340, 593, 713, 4541, 563, 763, 2339, 568, 1360, 2241, 281, 6129, 4422, 1472, 3162, 335, 1961, 538, 513, 9764, 2619, 269, 5221, 519, 3047, 781, 7852, 568, 21266, 1540, 267, 519, 8998, 540, 713, 5858, 568, 711, 4010, 538, 519, 3162, 335, 1961, 269, 2334, 519, 8998, 540, 713, 5858, 18389, 619, 513, 2370, 1282, 519, 1576, 540, 942, 568, 3020, 540, 322, 6847, 269, 1809, 6778, 5681, 518, 340, 568, 538, 519, 3162, 335, 1961, 1317, 21944, 14609, 327, 1235, 267, 899, 519, 5830, 540, 2806, 327, 573, 327, 12609, 267, 6785, 602, 950, 621, 568, 1554, 538, 808, 3711, 644, 341, 760, 320, 630, 773, 3127, 1070, 621, 568, 3781, 538, 519, 918, 15843, 2552, 5799, 630, 773, 3162, 3013, 1040, 3162, 335, 1961, 568, 3976, 519, 1152, 9266, 454, 531, 1181, 894, 585, 6778, 5681, 518, 340, 563, 300, 870, 5681, 518, 340, 568, 4544, 538, 519, 24817, 267, 543, 621, 568, 519, 6607, 16841, 267, 621, 568, 711, 1945, 3116, 269, 634, 17824, 8864, 540, 519, 6607, 568, 1018, 649, 3425, 1294, 540, 6778, 5681, 518, 340, 267, 713, 729, 1767, 538, 519, 10752, 540, 31436, 1180, 549, 538, 20144, 698, 17763, 918, 698, 344, 340, 700, 532, 538, 476, 1960, 271, 781, 267, 676, 513, 700, 4821, 602, 568, 1572, 15345, 345, 11253, 269, 594, 1185, 4862, 713, 1482, 3364, 1354, 267, 827, 6778, 5681, 518, 340, 543, 519, 4544, 6607, 267, 621, 568, 711, 1945, 2189, 547, 700, 4821, 15345, 345, 11253, 563, 19868, 1227, 1287, 519, 12627, 2427, 540, 6778, 5681, 518, 340, 568, 519, 3781, 6607, 282, 12627, 568, 12001, 543, 4061, 649, 1294, 883, 519, 2230, 693, 3781, 563, 763, 10752, 798, 2161, 602, 621, 630, 306, 10179, 340, 264, 7140, 1472, 7444, 269, 4935, 849, 519, 7852, 540, 3047, 781, 10047, 454, 529, 513, 9266, 1747, 585, 6778, 5681, 518, 340, 563, 292, 743, 328, 10364, 15393, 5291, 2517, 523, 25769, 3820, 28293, 27582, 743, 328, 10364, 7272, 1961, 0, 9558, 3175, 540, 1025, 514, 651, 1042, 538, 5053, 912, 268, 1496, 3430, 3363, 316, 632, 8272, 553, 1609, 516, 577, 553, 282, 1496, 1613, 270, 719, 19972, 316, 1609, 516, 11155, 7078, 5220, 454, 268, 14992, 7985, 689, 513, 21621, 543, 15520, 1025, 514, 651, 1042, 1935, 547, 519, 27132, 543, 609, 25680, 2773, 2164, 563, 268, 6270, 7522, 16490, 1025, 514, 651, 1042, 1612, 5255, 658, 1143, 666, 1152, 4734, 891, 5859, 619, 3168, 1256, 811, 26525, 563, 268, 1261, 2731, 786, 1205, 513, 8710, 952, 646, 8952, 3206, 538, 971, 513, 1025, 514, 651, 1042, 267, 7522, 1259, 563, 1432, 798, 596, 1265, 4277, 827, 713, 2262, 610, 8360, 888, 4467, 906, 602, 1810, 1405, 15666, 547, 938, 7991, 13832, 949, 581, 15645, 730, 610, 6569, 563, 7197, 2442, 538, 519, 2475, 454, 7197, 2442, 538, 519, 5177, 454, 7197, 2442, 538, 4516, 454, 7197, 2442, 538, 5245, 454, 7197, 2442, 538, 17111, 454, 7197, 2442, 538, 9031, 454, 8340, 2312, 543, 3551, 5583, 602, 786, 948, 596, 2087, 707, 5053, 8239, 267, 12332, 267, 543, 1603, 1983, 2483, 763, 1699, 5053, 9139, 630, 17746, 15856, 857, 11252, 25385, 320, 10722, 7637, 264, 729, 9516, 538, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 288, 2890, 326, 549, 913, 11064, 568, 513, 31942, 602, 568, 1031, 547, 5094, 4949, 976, 689, 1591, 4703, 269, 634, 6671, 1907, 568, 476, 5611, 7825, 538, 8006, 267, 609, 476, 14596, 8229, 1591, 2890, 326, 549, 7174, 269, 901, 1826, 540, 21677, 568, 1655, 3514, 547, 29622, 8506, 4949, 517, 9668, 543, 814, 513, 12334, 540, 476, 28638, 544, 269, 634, 12334, 9832, 519, 9505, 3060, 14764, 607, 1134, 607, 1930, 12068, 12122, 269, 634, 1034, 1455, 11064, 814, 513, 5860, 540, 476, 279, 544, 267, 1247, 513, 476, 1220, 6515, 17489, 835, 568, 4998, 14018, 585, 6283, 5829, 1382, 1353, 269, 589, 5843, 326, 549, 913, 26861, 12386, 568, 513, 1907, 602, 24508, 4949, 976, 689, 27765, 27866, 269, 634, 476, 5611, 2173, 332, 8390, 3261, 919, 585, 3744, 602, 6999, 547, 20586, 1312, 4949, 976, 607, 1134, 607, 27765, 27866, 269, 898, 568, 4481, 3407, 585, 27090, 4529, 602, 798, 711, 991, 513, 1279, 5650, 269, 2201, 1283, 540, 602, 267, 519, 476, 5611, 2173, 332, 14583, 7727, 5714, 545, 694, 2424, 607, 1134, 607, 2528, 2754, 267, 543, 849, 568, 3501, 585, 4949, 517, 5945, 1382, 269, 1323, 3606, 9053, 2890, 326, 549, 913, 21677, 568, 519, 9208, 715, 2925, 8426, 27620, 267, 609, 476, 14596, 23761, 269, 901, 31942, 568, 1655, 585, 27090, 2528, 6901, 607, 1134, 607, 2636, 585, 5714, 545, 7834, 540, 27765, 27866, 543, 849, 4949, 976, 269, 901, 2203, 568, 5078, 585, 3173, 602, 1616, 547, 20586, 4949, 976, 1247, 4509, 741, 27765, 27866, 269, 1452, 2890, 326, 549, 913, 9465, 616, 849, 3407, 585, 4974, 4949, 517, 14796, 269, 5843, 326, 549, 913, 7496, 616, 11593, 2139, 538, 1585, 7516, 543, 5686, 269, 634, 476, 14596, 19804, 1374, 568, 1034, 3335, 1031, 585, 519, 24590, 909, 540, 4949, 976, 689, 27765, 27866, 269, 634, 476, 14596, 19804, 4528, 568, 519, 1034, 3335, 8246, 269, 901, 2203, 3261, 919, 585, 3744, 602, 2154, 547, 5094, 1312, 4949, 976, 543, 27765, 27866, 1510, 17890, 3157, 269, 898, 849, 3096, 5714, 545, 694, 2424, 543, 849, 2486, 3919, 267, 799, 616, 1898, 585, 6283, 29622, 269, 634, 9208, 3026, 584, 517, 717, 611, 1326, 568, 2966, 585, 3173, 945, 6999, 547, 5094, 4949, 976, 689, 27765, 27866, 269, 4706, 476, 14596, 19804, 2890, 326, 549, 7174, 616, 1655, 3514, 585, 19459, 11409, 267, 799, 666, 581, 2182, 547, 5094, 538, 824, 1797, 269, 4706, 476, 5611, 19804, 2890, 326, 549, 7174, 616, 5078, 585, 19459, 4949, 976, 607, 1134, 607, 27765, 27866, 538, 27090, 4529, 269, 16547, 976, 543, 27765, 27866, 616, 9674, 676, 513, 2582, 21677, 269, 589, 476, 5611, 2890, 326, 549, 913, 11064, 568, 835, 540, 519, 1034, 1455, 2890, 326, 549, 913, 11064, 269, 4706, 476, 14596, 4528, 568, 20923, 20083, 585, 3744, 602, 991, 547, 5094, 1312, 4949, 976, 543, 849, 27765, 27866, 269, 634, 476, 14596, 31942, 568, 5078, 585, 12270, 1312, 4949, 976, 543, 27765, 761, 923, 269, 901, 4528, 10123, 3091, 5714, 545, 10072, 543, 849, 2486, 3919, 267, 799, 568, 1360, 1271, 585, 4949, 517, 5945, 1382, 1353, 269, 901, 2890, 326, 549, 913, 21677, 568, 6099, 585, 3560, 29622, 543, 849, 2486, 540, 9729, 673, 11409, 269, 898, 814, 513, 476, 1015, 7825, 2890, 326, 549, 913, 2450, 269, 5637, 5686, 723, 513, 519, 1482, 4463, 269, 634, 9505, 3060, 11460, 814, 513, 476, 4335, 6515, 26654, 267, 1247, 519, 1930, 12068, 12122, 814, 513, 476, 6110, 6515, 15038, 269, 634, 476, 14596, 4528, 568, 513, 2603, 811, 3902, 344, 267, 855, 922, 4389, 20830, 616, 811, 10375, 547, 8415, 269, 769, 1840, 267, 621, 2488, 513, 5078, 1604, 585, 1591, 2486, 269, 0, 1103, 17651, 267, 2480, 23705, 3780, 630, 31142, 281, 968, 9928, 23705, 542, 25257, 3006, 1634, 607, 2480, 23705, 1470, 267, 568, 513, 1990, 31821, 26424, 602, 6013, 1063, 8644, 571, 543, 32371, 8636, 23581, 538, 519, 7013, 6607, 267, 693, 10199, 476, 1626, 3108, 476, 1789, 3764, 1318, 10841, 3290, 543, 476, 1789, 4113, 5045, 3616, 1588, 269, 634, 6505, 652, 5182, 538, 519, 6607, 2676, 8489, 666, 594, 1265, 2480, 23705, 1470, 538, 519, 6607, 888, 9928, 23705, 3780, 267, 899, 32371, 8636, 23581, 267, 666, 581, 1336, 676, 575, 5074, 5045, 543, 1739, 519, 27305, 10158, 16057, 269, 2480, 23705, 3780, 568, 2653, 547, 5544, 676, 575, 5074, 585, 13085, 6801, 602, 18613, 3165, 29945, 269, 901, 13622, 814, 1018, 5526, 547, 581, 513, 6505, 2699, 5182, 538, 519, 4099, 269, 634, 4414, 27951, 5182, 4165, 4100, 267, 799, 568, 693, 519, 4295, 540, 2480, 23705, 3780, 267, 568, 1419, 19451, 585, 9370, 1317, 621, 568, 5393, 2699, 269, 2480, 23705, 3780, 685, 1560, 20998, 513, 3165, 13622, 267, 609, 519, 2766, 9117, 607, 519, 13622, 543, 2480, 23705, 3780, 685, 2212, 543, 533, 4532, 619, 693, 519, 6587, 1439, 267, 8108, 513, 1614, 17376, 784, 539, 1439, 1448, 2476, 689, 32371, 8636, 23581, 563, 1432, 568, 2480, 23705, 1470, 538, 519, 6607, 888, 9928, 23705, 3780, 568, 513, 7013, 26424, 602, 14380, 547, 922, 8445, 1448, 538, 519, 10543, 6607, 1472, 2904, 563, 2005, 568, 17814, 607, 513, 1085, 23705, 542, 543, 568, 835, 540, 519, 12964, 2818, 540, 519, 2098, 31821, 269, 4014, 4230, 6331, 619, 1869, 3277, 547, 713, 26424, 676, 922, 3312, 2012, 267, 2480, 23705, 3780, 267, 519, 2413, 26424, 568, 849, 1634, 607, 2480, 23705, 3780, 269, 5272, 1032, 538, 3735, 5437, 267, 519, 6129, 10596, 998, 621, 585, 827, 513, 3018, 563, 8601, 519, 1249, 602, 519, 6129, 1152, 22939, 513, 1906, 2395, 538, 2480, 23705, 3780, 1142, 1032, 267, 621, 568, 513, 1804, 26424, 269, 634, 7187, 17119, 640, 540, 519, 1085, 23705, 542, 779, 32356, 26424, 568, 513, 2110, 1858, 540, 6607, 630, 5408, 519, 5750, 547, 519, 1318, 1070, 799, 519, 6129, 10596, 998, 3533, 563, 12901, 4100, 267, 799, 4564, 519, 1085, 23705, 542, 779, 2212, 267, 568, 519, 6505, 652, 5182, 538, 713, 6607, 4087, 269, 589, 5569, 540, 2034, 2173, 1725, 3363, 6801, 7436, 519, 1085, 23705, 542, 779, 6335, 532, 2766, 547, 519, 5045, 563, 763, 27305, 10158, 779, 7077, 22613, 2066, 2480, 23705, 3780, 685, 7013, 4525, 267, 799, 568, 29822, 14095, 609, 5182, 13421, 267, 5627, 476, 1240, 1930, 13421, 17321, 982, 20870, 9588, 269, 2480, 23705, 3780, 814, 513, 1297, 540, 13085, 5895, 983, 13421, 1472, 32371, 8636, 23581, 267, 799, 568, 1141, 519, 27305, 10158, 779, 4099, 568, 4092, 563, 763, 1085, 23705, 542, 3254, 1934, 568, 2219, 547, 723, 588, 2426, 2107, 542, 519, 25433, 547, 2669, 538, 5259, 13299, 563, 3674, 2480, 23705, 1470, 2282, 2107, 542, 888, 7775, 542, 729, 513, 12050, 543, 3532, 25433, 267, 865, 3532, 602, 646, 26823, 3022, 547, 6146, 1169, 3662, 593, 519, 4541, 269, 2107, 542, 679, 571, 3022, 12821, 807, 267, 519, 15831, 540, 519, 3047, 543, 3662, 27369, 267, 945, 2040, 3000, 539, 2480, 23705, 1470, 267, 513, 1804, 1085, 23705, 542, 267, 547, 18272, 3729, 2107, 542, 1354, 646, 1223, 2800, 519, 2831, 269, 2480, 23705, 1470, 588, 2426, 2107, 542, 609, 1010, 588, 5424, 543, 14213, 539, 1864, 269, 12821, 807, 30039, 1864, 609, 513, 2990, 538, 519, 3781, 6607, 607, 513, 16101, 585, 1010, 22838, 543, 585, 9494, 782, 540, 519, 2831, 685, 2729, 269, 10801, 519, 1032, 267, 646, 666, 581, 2938, 31743, 2107, 542, 1472, 519, 6607, 269, 4438, 519, 5162, 267, 2107, 542, 568, 15868, 547, 6968, 11884, 267, 855, 950, 5614, 21128, 267, 2480, 23705, 1470, 14380, 267, 31743, 2107, 542, 856, 540, 519, 6607, 563, 3674, 2480, 23705, 1470, 543, 2480, 23705, 3780, 519, 1482, 888, 1103, 17651, 267, 2480, 23705, 3780, 630, 31142, 281, 968, 9928, 23705, 542, 25257, 3006, 1634, 607, 2480, 23705, 1470, 267, 568, 513, 1990, 31821, 26424, 602, 6013, 1063, 8644, 571, 543, 32371, 8636, 23581, 538, 519, 7013, 6607, 267, 693, 10199, 476, 1626, 3108, 476, 1789, 3764, 1318, 10841, 3290, 543, 476, 1789, 4113, 5045, 3616, 1588, 563, 1432, 2696, 3652, 2480, 23705, 1470, 888, 295, 3547, 1107, 2480, 23705, 1470, 670, 3547, 267, 519, 2696, 540, 519, 7201, 16447, 267, 24151, 519, 2480, 23705, 3930, 685, 6456, 5759, 269, 901, 1990, 31821, 1129, 568, 1634, 585, 922, 9658, 1097, 267, 2909, 341, 5964, 267, 543, 6612, 563, 8489, 568, 2107, 542, 538, 519, 6607, 9522, 697, 888, 5804, 5437, 547, 5988, 267, 2107, 542, 666, 581, 2938, 1134, 538, 519, 3781, 6607, 269, 634, 1655, 1935, 547, 1265, 519, 2107, 542, 4790, 749, 566, 568, 547, 1413, 585, 2107, 542, 779, 25028, 269, 8422, 6505, 6801, 267, 1325, 333, 559, 600, 267, 631, 842, 10440, 267, 543, 1325, 27848, 752, 267, 1118, 909, 2107, 542, 779, 25028, 269, 1403, 596, 2461, 538, 519, 8832, 25955, 267, 2107, 542, 568, 538, 519, 22236, 6607, 282, 952, 596, 2461, 538, 519, 8828, 25955, 267, 621, 779, 538, 519, 32720, 6607, 269, 898, 666, 581, 9763, 1655, 1063, 476, 5952, 543, 14263, 476, 4037, 5232, 20173, 269, 898, 814, 513, 476, 276, 5662, 1318, 10841, 3290, 543, 513, 476, 276, 4110, 3616, 1588, 563, 1432, 568, 2480, 23705, 3780, 7242, 888, 1103, 5259, 13299, 267, 2480, 23705, 3780, 543, 2107, 542, 616, 4749, 5532, 269, 4340, 547, 10828, 267, 2107, 542, 1630, 16556, 827, 11318, 1169, 3662, 593, 519, 4541, 269, 3203, 28087, 267, 519, 15831, 3620, 684, 614, 267, 543, 1200, 3993, 267, 2913, 334, 267, 2366, 513, 1085, 23705, 542, 1310, 2107, 542, 269, 2991, 519, 1085, 23705, 542, 4465, 519, 6370, 267, 28736, 5116, 621, 538, 519, 30723, 269, 769, 1776, 4528, 267, 3203, 28087, 685, 18618, 7015, 267, 21011, 267, 2968, 679, 571, 3022, 543, 2366, 513, 1085, 23705, 542, 950, 2107, 542, 10645, 547, 581, 513, 1732, 25433, 982, 3203, 28087, 269, 2107, 542, 543, 2480, 23705, 3780, 941, 1312, 5116, 538, 519, 6607, 676, 28736, 267, 2943, 789, 616, 7298, 693, 1114, 5712, 540, 519, 1032, 563, 9928, 23705, 1470, 568, 519, 26424, 540, 31826, 267, 799, 568, 711, 513, 2257, 269, 898, 568, 519, 2098, 31821, 779, 21632, 1129, 267, 543, 621, 23327, 7606, 4535, 1063, 5239, 476, 2190, 543, 5437, 476, 2420, 269, 10318, 1588, 543, 14017, 616, 2219, 547, 581, 4162, 540, 7606, 4535, 896, 713, 1129, 563, 8005, 7166, 2480, 23705, 3780, 888, 5804, 519, 476, 2537, 6113, 547, 519, 476, 2764, 628, 540, 5239, 267, 621, 3580, 581, 2480, 23705, 1470, 3018, 593, 519, 10060, 18248, 267, 543, 649, 3580, 723, 513, 2022, 827, 519, 26424, 540, 2480, 23705, 3780, 1169, 1554, 269, 634, 1101, 1554, 540, 519, 3923, 540, 2480, 23705, 1470, 5956, 14182, 267, 593, 519, 476, 2190, 628, 563, 5472, 519, 581, 6814, 23487, 539, 519, 1390, 25433, 543, 9649, 2107, 542, 950, 519, 3618, 729, 1007, 269, 1261, 11739, 342, 513, 838, 622, 540, 5458, 2244, 543, 4262, 28749, 269, 7183, 540, 873, 941, 2111, 547, 3247, 1010, 15561, 563, 1103, 513, 4090, 540, 818, 5766, 766, 267, 646, 10294, 547, 519, 22839, 602, 646, 1131, 711, 1964, 2394, 646, 1185, 7166, 782, 540, 519, 3047, 779, 3552, 2831, 563, 294, 320, 807, 267, 519, 15831, 540, 519, 3047, 543, 3993, 540, 519, 25315, 753, 267, 729, 679, 571, 3022, 676, 1010, 818, 5766, 766, 269, 2701, 21821, 539, 519, 6351, 540, 513, 19157, 1085, 23705, 542, 267, 6998, 1864, 547, 4339, 519, 20599, 563, 7775, 542, 729, 1101, 14955, 1356, 2740, 827, 519, 13442, 269, 1215, 1223, 2576, 865, 28971, 7654, 546, 732, 547, 1491, 593, 1010, 1522, 888, 3891, 729, 267, 2705, 267, 7318, 269, 2107, 542, 1223, 711, 14710, 519, 1085, 23705, 542, 1100, 2339, 875, 2182, 646, 6836, 269, 898, 859, 12184, 1010, 21985, 607, 1134, 607, 782, 540, 1010, 6367, 31211, 563, 2691, 2107, 542, 2968, 3443, 17673, 543, 4956, 547, 2196, 267, 519, 1085, 23705, 542, 533, 6407, 269, 634, 1085, 23705, 542, 779, 20715, 2766, 588, 2426, 2107, 542, 267, 543, 2107, 542, 267, 519, 1390, 25433, 267, 729, 669, 1078, 1524, 543, 7166, 563, 294, 320, 807, 267, 538, 18163, 14696, 547, 519, 1085, 23705, 542, 267, 1500, 2386, 602, 1010, 17636, 543, 2107, 542, 779, 1208, 559, 2747, 1131, 581, 7298, 547, 782, 563, 763, 2480, 23705, 542, 779, 4605, 729, 5116, 538, 519, 3781, 6607, 7258, 2107, 542, 779, 3239, 269, 634, 1085, 23705, 542 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 855, 849, 2709, 513, 1514, 4259, 585, 5872, 543, 8994, 1489, 563, 3519, 6984, 32438, 593, 513, 17151, 13717, 11202, 547, 25682, 998, 6742, 658, 8551, 454, 24938, 658, 6575, 267, 609, 741, 6946, 13795, 540, 2168, 7575, 267, 2790, 2994, 267, 543, 3929, 9015, 267, 616, 811, 982, 1175, 8396, 2553, 269, 1358, 616, 513, 1259, 540, 1272, 267, 513, 2619, 602, 267, 2899, 24389, 2390, 267, 14767, 15400, 4245, 543, 2208, 563, 1103, 2413, 2053, 267, 607, 649, 20920, 609, 2591, 1312, 2025, 543, 1007, 267, 891, 3504, 6575, 2709, 3435, 12082, 538, 5553, 540, 7326, 269, 3245, 16779, 2043, 547, 1796, 741, 2666, 538, 3068, 540, 8594, 267, 547, 22805, 2950, 3808, 676, 8994, 2463, 543, 1620, 267, 19831, 6575, 2611, 513, 581, 13154, 540, 4126, 563, 19853, 10083, 2221, 3884, 1406, 1175, 538, 519, 7575, 27058, 610, 26797, 12236, 267, 855, 538, 519, 13710, 3460, 789, 9153, 1107, 835, 602, 7140, 18051, 1182, 883, 18544, 267, 711, 1175, 538, 8396, 267, 855, 538, 1272, 269, 0, 21446, 894, 3782, 814, 1831, 3478, 3152, 4656, 538, 519, 2063, 8717, 5111, 607, 811, 2043, 2490, 856, 547, 581, 13473, 543, 1454, 811, 17173, 2472, 3070, 3435, 616, 5827, 540, 3257, 585, 873, 269, 20010, 3782, 16621, 3435, 267, 3681, 267, 9422, 9360, 543, 2732, 3292, 543, 6527, 269, 634, 1858, 568, 8101, 543, 2882, 606, 5044, 540, 1641, 2127, 543, 2035, 689, 12465, 6481, 13467, 547, 7849, 23046, 269, 901, 2110, 2376, 786, 4674, 547, 5693, 5581, 4244, 4915, 543, 9414, 930, 540, 922, 811, 11342, 5686, 563, 3519, 14846, 1072, 2409, 616, 9090, 519, 2553, 6964, 538, 2564, 6703, 267, 13500, 4025, 540, 960, 543, 14804, 1072, 5829, 2533, 269, 1230, 14846, 11257, 616, 4749, 1031, 607, 606, 4244, 547, 4244, 4915, 538, 606, 4674, 547, 7413, 9636, 267, 1521, 22074, 543, 1521, 2566, 630, 7945, 607, 10551, 5574, 543, 5283, 1206, 1040, 20010, 2126, 568, 1022, 2564, 2259, 799, 6662, 547, 723, 519, 2147, 9354, 2164, 607, 2834, 3435, 267, 855, 799, 568, 711, 20248, 20483, 610, 796, 2889, 1597, 267, 2150, 6479, 269, 589, 1383, 540, 4244, 2126, 799, 1522, 581, 4122, 8179, 8584, 1123, 676, 1346, 945, 616, 3843, 547, 1205, 7759, 540, 9138, 22074, 1331, 1035, 1575, 21913, 267, 1753, 14527, 267, 12906, 7752, 2805, 543, 1753, 14527, 6986, 5214, 5574, 267, 14024, 18132, 832, 543, 28571, 1755, 15797, 267, 8770, 11257, 267, 15815, 919, 267, 12257, 12485, 267, 5289, 27955, 543, 2067, 8324, 333, 26798, 8324, 269, 3509, 2043, 945, 723, 1044, 9001, 4244, 4915, 547, 7816, 741, 30441, 2943, 1866, 723, 4767, 3232, 1272, 17038, 18146, 2360, 269, 1717, 267, 972, 6818, 3136, 547, 14320, 8969, 7404, 3903, 3435, 543, 3833, 513, 1906, 7606, 3494, 1142, 540, 891, 2994, 616, 8806, 3693, 540, 513, 3677, 12611, 563, 301, 520, 1755, 12949, 545, 6646, 543, 32687, 6646, 3514, 883, 519, 3677, 22597, 540, 4244, 2126, 269, 14844, 1755, 12949, 545, 5061, 5654, 585, 547, 10625, 519, 2014, 540, 4713, 607, 1134, 607, 4308, 609, 519, 4576, 676, 7829, 519, 2347, 6457, 267, 1367, 543, 1560, 269, 769, 1931, 547, 1198, 513, 1689, 538, 519, 1560, 779, 1072, 543, 8516, 267, 14844, 1755, 12949, 545, 14319, 543, 32687, 14319, 786, 711, 581, 10353, 547, 519, 824, 1268, 3833, 789, 960, 1927, 269, 1924, 607, 547, 1198, 513, 2656, 543, 10423, 3017, 538, 519, 8516, 540, 2576, 563, 12709, 14527, 814, 6591, 513, 8101, 2179, 540, 6284, 25015, 267, 891, 2409, 849, 616, 538, 930, 2665, 8246, 538, 512, 30802, 609, 2757, 2126, 3435, 269, 3509, 1072, 4648, 616, 4358, 547, 723, 3713, 540, 519, 5383, 540, 2067, 5061, 269, 5851, 14527, 568, 8200, 609, 519, 2856, 602, 519, 1560, 5161, 540, 32373, 762, 2326, 1634, 607, 7008, 540, 799, 938, 1560, 616, 1152, 2111, 547, 581, 4767, 610, 13820, 539, 269, 634, 7135, 602, 17663, 707, 1062, 616, 538, 4641, 1500, 689, 2034, 2157, 540, 519, 9838, 1118, 1022, 3017, 602, 666, 581, 1336, 538, 782, 1272, 2188, 269, 901, 2306, 2067, 14319, 606, 11108, 2186, 540, 4244, 2126, 602, 786, 4096, 593, 519, 1379, 540, 519, 1480, 1560, 547, 544, 754, 593, 922, 1378, 563, 5194, 4244, 3782, 602, 568, 9090, 32117, 538, 10343, 568, 14911, 4915, 7132, 621, 2882, 713, 4990, 540, 5773, 607, 659, 1575, 21913, 543, 23096, 832, 267, 9354, 18552, 267, 4457, 6986, 1418, 747, 11770, 549, 1492, 2805, 543, 5574, 267, 2757, 4457, 5574, 267, 10649, 5751, 267, 543, 7117, 328, 575, 784, 269, 1924, 602, 596, 666, 11694, 519, 6908, 540, 21755, 2429, 938, 1949, 267, 891, 2409, 4096, 2390, 519, 6644, 602, 21755, 666, 1860, 938, 1949, 543, 4061, 649, 991, 547, 1747, 938, 1345, 883, 513, 2769, 540, 4708, 543, 3666, 269, 2290, 666, 1118, 713, 4755, 1448, 856, 676, 14139, 3006, 7646, 610, 3395, 2371, 267, 1199, 23550, 267, 10649, 543, 8516, 267, 824, 267, 2408, 543, 12906, 7752, 2805, 9838, 1919, 547, 798, 563, 2467, 568, 2943, 1776, 1826, 540, 4244, 3782, 602, 1223, 581, 3384, 538, 1377, 540, 8560, 543, 602, 568, 6157, 1382, 3613, 19099, 2126, 269, 6270, 513, 5061, 3096, 519, 9645, 4791, 9623, 602, 814, 1044, 5833, 2429, 519, 2063, 2540, 269, 12207, 723, 4362, 513, 1434, 4308, 538, 14621, 547, 519, 5574, 543, 2164, 538, 593, 1034, 10108, 269, 3509, 3903, 2564, 4648, 543, 4966, 2936, 713, 1344, 547, 1020, 1072, 1416, 3681, 585, 741, 1004, 602, 941, 8810, 2500, 998, 9488, 3621, 2090, 269, 1280, 1383, 267, 8544, 32196, 568, 4440, 519, 1906, 17756, 585, 519, 23988, 602, 10522, 602, 6169, 3613, 19099, 5574, 616, 711, 2500, 267, 1373, 519, 2783, 568, 4742, 1932, 11342, 1317, 972, 547, 1831, 1022, 4396, 1382, 602, 2982, 6382, 563, 2005, 568, 1360, 1271, 1832, 538, 2247, 267, 593, 519, 824, 1688, 267, 602, 2257, 568, 1175, 711, 2965, 3617, 543, 972, 616, 1896, 2887, 9313, 543, 2152, 538, 519, 3498, 540, 2564, 1883, 2798, 538, 14319, 269, 1280, 3236, 267, 972, 568, 4867, 7634, 3274, 1373, 2944, 602, 5267, 602, 972, 949, 581, 513, 1360, 1434, 22420, 5057, 851, 538, 1346, 945, 1702, 1279, 3856, 1928, 269, 4634, 1498, 713, 568, 711, 16119, 2357, 4328, 1945, 267, 621, 666, 16355, 557, 519, 1279, 1790, 18677, 3661, 602, 3044, 14319, 543, 14453, 3075, 13310, 6646, 568, 11207, 1434, 693, 17212, 1324, 2550, 685, 2589, 269, 1306, 811, 1344, 568, 16432, 543, 12649, 267, 713, 1826, 540, 3815, 1223, 581, 5555, 8810, 2953, 269, 1717, 267, 585, 519, 1459, 942, 267, 519, 11685, 3296, 814, 4465, 519, 4901, 519, 3283, 616, 4358, 547, 1491, 883, 2272, 602, 6715, 13577, 6481, 5516, 1131, 581, 519, 5951, 540, 519, 2104, 585, 1455, 14319, 563, 21446, 894, 3782, 568, 3432, 1176, 5355, 538, 8560, 543, 6284, 269, 898, 2731, 568, 1500, 946, 540, 547, 3761, 513, 1921, 1063, 5375, 267, 2834, 5574, 543, 14911, 23857, 585, 3236, 24349, 4915, 267, 1234, 5942, 267, 28571, 1755, 15797, 543, 7796, 919, 269, 2755, 6715, 13577, 2657, 5516, 5170, 547, 1332, 538, 8560, 267, 621, 568, 6654, 602, 713, 3136, 547, 6108, 942, 4730, 513, 1360, 1271, 1599, 538, 23478, 2994, 547, 513, 1906, 540, 519, 1158, 779, 1034, 2442, 2175, 543, 22074, 269, 2060, 519, 2333, 538, 7287, 585, 20010, 16195, 267, 972, 786, 1034, 2693, 581, 1454, 811, 1719, 538, 3246, 18006, 585, 1346, 5461, 538, 11589, 519, 2702, 789, 2709, 827, 4244, 2126, 563, 2252, 596, 6068, 713, 2022, 543, 596, 1131, 899, 547, 1205, 513, 2603, 811, 5013, 827, 2206, 12940, 535, 1263, 695, 14241, 4487, 4179, 2517, 324, 770, 7770, 4621, 738, 3599, 2593, 24963, 979, 547, 938, 1378, 2985, 563, 288, 2603, 811, 7840, 689, 15695, 21101, 281, 0, 763, 25968, 15248, 2030, 568, 513, 2189, 543, 9159, 2249, 602, 814, 6591, 8560, 1851, 22254, 543, 2030, 12439, 269, 19612, 585, 922, 11495, 5920, 543, 11684, 3096, 267, 519, 25968, 15248, 2030, 19646, 513, 2039, 540, 4162, 602, 1118, 621, 513, 14909, 1840, 547, 1022, 4677, 610, 11255, 2230, 269, 769, 713, 3102, 3391, 267, 649, 786, 5490, 883, 519, 5920, 267, 2208, 6208, 267, 28480, 4005, 267, 543, 1416, 4170, 540, 519, 25968, 15248, 2030, 269, 1284, 786, 2263, 922, 1455, 3096, 267, 1519, 922, 25798, 267, 16392, 267, 543, 11477, 3156, 269, 1284, 786, 5031, 2147, 2371, 602, 7703, 11696, 28917, 547, 519, 25968, 15248, 2030, 267, 3246, 513, 1134, 25454, 1620, 540, 713, 4241, 2249, 269, 6787, 596, 2461, 513, 19023, 32529, 610, 513, 30497, 2030, 27423, 267, 713, 2376, 786, 1683, 3407, 4030, 883, 519, 27559, 543, 1761, 540, 519, 25968, 15248, 2030, 563, 268, 589, 25968, 15248, 7233, 568, 513, 1826, 540, 15496, 2030, 1634, 585, 922, 4190, 11909, 23469, 18742, 563, 268, 901, 2030, 814, 2189, 4162, 971, 607, 922, 5920, 267, 2208, 6208, 267, 543, 28480, 4005, 563, 268, 1677, 1416, 585, 513, 25968, 15248, 7233, 267, 621, 3340, 1808, 7943, 543, 2837, 267, 14450, 543, 6992, 1944, 2553, 267, 543, 18309, 543, 18640, 2409, 563, 1432, 1772, 513, 25968, 15248, 7233, 888, 290, 1042, 1080, 281, 674, 4181, 7220, 269, 14813, 334, 1107, 12138, 6742, 710, 345, 454, 24445, 529, 807, 1065, 839, 267, 4122, 1634, 607, 25968, 15248, 610, 25968, 23202, 615, 7233, 267, 568, 513, 1970, 31720, 5199, 30362, 2030, 12595, 585, 922, 10694, 16714, 543, 8897, 540, 1416, 563, 289, 13717, 532, 547, 519, 2155, 601, 514, 19687, 1920, 267, 713, 21064, 2030, 568, 5065, 547, 6792, 543, 6239, 3013, 269, 634, 25968, 15248, 2934, 28608, 267, 561, 766, 11057, 3762, 602, 616, 24224, 609, 11495, 11909, 24698, 267, 4946, 513, 1402, 540, 2681, 547, 1022, 11255, 610, 9205, 2230, 269, 9603, 547, 922, 22537, 2470, 267, 621, 29263, 538, 1585, 8654, 2175, 543, 666, 20496, 5712, 540, 10980, 267, 1818, 621, 606, 4998, 3903, 585, 1346, 609, 11112, 16131, 610, 2370, 12202, 1995, 563, 1432, 3657, 519, 18567, 540, 513, 25968, 15248, 7233, 888, 763, 25968, 15248, 2030, 2934, 7524, 267, 561, 766, 11057, 3762, 602, 1332, 538, 13421, 2059, 922, 22107, 8172, 11710, 267, 2870, 606, 10694, 911, 4979, 1198, 563, 21132, 22539, 16714, 568, 1419, 513, 11495, 15254, 20672, 566, 540, 12779, 11909, 267, 3039, 267, 543, 27598, 3043, 267, 4946, 513, 17175, 1402, 540, 2681, 547, 1022, 2230, 269, 634, 3762, 30107, 513, 17953, 344, 267, 14589, 344, 9403, 602, 10597, 741, 3308, 9029, 269, 1306, 519, 2030, 1319, 999, 267, 922, 911, 4979, 11710, 1419, 1020, 513, 11419, 995, 267, 512, 22824, 5920, 267, 1818, 621, 513, 9159, 1840, 547, 16304, 30504, 610, 11506, 1544, 1562, 563, 763, 25968, 15248, 267, 849, 1634, 607, 519, 25968, 23202, 615, 7233, 610, 11910, 529, 807, 14472, 6737, 267, 15225, 11495, 16714, 609, 18707, 540, 11909, 267, 3039, 267, 543, 13711, 267, 2870, 513, 11617, 13267, 4159, 563, 763, 3762, 540, 519, 25968, 15248, 2030, 2097, 538, 1585, 5546, 267, 1519, 2295, 11057, 267, 24814, 267, 543, 561, 766, 25544, 267, 4946, 547, 922, 3308, 1719, 269, 634, 10875, 15254, 20672, 566, 540, 4778, 267, 8151, 689, 2571, 2250, 601, 533, 3855, 547, 2620, 4012, 550, 553, 267, 5932, 513, 9159, 4334, 1996, 519, 7524, 3039, 543, 11029, 23456, 540, 13711, 563, 9961, 922, 2208, 267, 519, 2030, 949, 849, 4159, 513, 13506, 1198, 267, 1141, 519, 4778, 11100, 16900, 267, 6721, 606, 22539, 522, 3387, 516, 1198, 538, 519, 16714, 269, 1452, 11617, 9159, 4162, 1118, 519, 25968, 15248, 513, 2442, 3903, 1851, 2030, 12439, 543, 513, 17175, 1840, 547, 1022, 11255, 610, 9205, 4677, 2230, 563, 763, 2208, 6208, 540, 519, 25968, 15248, 267, 849, 1634, 607, 25725, 966, 710, 543, 6444, 676, 519, 22340, 267, 4125, 911, 4979, 11710, 602, 666, 3262, 543, 1951, 701, 30780, 538, 16304, 11149, 610, 607, 2666, 3382, 563, 1607, 4190, 543, 11684, 2030, 11148, 547, 8853, 538, 1134, 1673, 20995, 267, 15417, 3037, 1247, 4782, 2590, 9940, 7943, 269, 898, 568, 4122, 1336, 538, 9341, 543, 31210, 4525, 267, 1141, 621, 7380, 919, 609, 922, 561, 639, 4109, 3039, 16714, 543, 10347, 267, 11909, 880, 2000, 822, 2658, 5810, 269, 1677, 29608, 267, 835, 666, 3362, 2879, 760, 513, 2635, 6565, 543, 1747, 621, 538, 513, 5848, 267, 1134, 8584, 23306, 5420, 269, 25408, 267, 519, 25968, 15248, 568, 12021, 585, 922, 1970, 5826, 543, 568, 1134, 25252, 1243, 585, 12202, 12439, 540, 782, 2157, 267, 1818 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 25072, 320, 4915, 607, 606, 3082, 4094, 630, 11357, 560, 1734, 799, 948, 519, 1560, 547, 4383, 2566, 1916, 1692, 1281, 1744, 559, 1690, 527, 960, 888, 21132, 1950, 7848, 540, 7135, 267, 3226, 3505, 17771, 3679, 267, 4249, 513, 2629, 1909, 538, 922, 12117, 269, 27975, 17771, 3679, 6411, 607, 513, 1098, 1602, 614, 267, 7393, 519, 10338, 543, 3351, 5314, 540, 5567, 1369, 938, 4703, 269, 898, 8992, 10408, 1648, 2504, 267, 11226, 538, 19140, 2305, 267, 543, 7028, 2949, 10894, 3252, 269, 3958, 267, 695, 559, 1690, 527, 15225, 15934, 3601, 267, 7863, 938, 2281, 1996, 19842, 2566, 3361, 676, 5739, 1863, 18119, 269, 898, 849, 25998, 609, 1585, 11476, 543, 1129, 16226, 11444, 267, 15386, 3082, 8328, 543, 29915, 908, 2360, 563, 19119, 540, 1744, 559, 1690, 527, 454, 9199, 3431, 538, 25072, 320, 4915, 267, 695, 559, 1690, 527, 814, 1044, 26060, 585, 922, 2702, 547, 3986, 21755, 543, 5818, 26176, 2088, 269, 26597, 2090, 723, 849, 8947, 519, 2702, 540, 695, 559, 1690, 527, 547, 3986, 1648, 2157, 676, 7393, 24197, 8647, 267, 799, 3322, 14291, 1648, 689, 1426, 883, 1648, 602, 666, 581, 1031, 676, 519, 1591, 543, 4061, 519, 1560, 607, 513, 2898, 563, 2005, 814, 1044, 2404, 609, 5885, 5042, 1599, 267, 1519, 3965, 267, 1445, 543, 2790, 9355, 269, 1452, 2188, 2491, 1946, 621, 568, 1373, 1031, 607, 513, 1106, 540, 3797, 585, 1978, 5042, 4713, 899, 12216, 779, 269, 1717, 267, 713, 1935, 568, 1869, 9425, 1007, 865, 811, 1382, 2115, 547, 581, 2944, 547, 1294, 519, 3020, 12117, 540, 519, 6219, 593, 971, 5042, 4713, 563, 12901, 9171, 656, 543, 14640, 13611, 12186, 912, 22137, 723, 3254, 602, 3505, 17771, 3679, 267, 835, 540, 695, 559, 1690, 1080, 1292, 7135, 267, 814, 15934, 543, 4550, 13611, 3601, 269, 901, 14014, 519, 1560, 689, 1863, 18119, 543, 1591, 3441, 799, 616, 1079, 540, 519, 1883, 2188, 4929, 10172, 563, 9802, 1489, 16562, 8598, 912, 2304, 320, 8598, 568, 1034, 1419, 3361, 676, 4401, 10638, 543, 814, 2427, 2360, 971, 607, 2295, 11733, 12150, 640, 267, 14331, 543, 538, 1410, 2364, 762, 9854, 269, 9603, 547, 1744, 559, 1690, 527, 779, 1164, 2157, 540, 1208, 545, 3679, 543, 4401, 267, 621, 1223, 581, 513, 1761, 2126, 585, 16562, 8598, 563, 288, 1353, 2322, 476, 1240, 14148, 883, 1614, 2516, 540, 476, 277, 269, 12824, 5795, 519, 2034, 543, 3791, 1895, 16562, 8598, 269, 681, 1846, 538, 519, 3791, 1895, 4607, 476, 4335, 16936, 540, 695, 559, 1690, 527, 1310, 476, 1556, 2395, 543, 1287, 3173, 6394, 1973, 5439, 689, 782, 476, 274, 2516, 593, 1554, 476, 2641, 269, 634, 2164, 4951, 602, 519, 14148, 945, 1185, 4607, 519, 695, 559, 1690, 527, 1185, 2362, 2157, 540, 688, 655, 18331, 543, 2699, 1973, 2281, 982, 519, 824, 1079, 2516, 563, 6826, 2386, 547, 3717, 547, 513, 4387, 827, 713, 4781, 1354, 2921, 519, 7110, 563, 5194, 1382, 1353, 7150, 602, 695, 559, 1690, 527, 1223, 4339, 1055, 1978, 8290, 1813, 547, 922, 5888, 540, 1585, 6886, 543, 7135, 899, 4401, 543, 13058, 267, 855, 2417, 1382, 814, 547, 581, 2944, 593, 2661, 5396, 1354, 789, 666, 6166, 4625, 563, 4537, 559, 1690, 527, 666, 2333, 22006, 21131, 538, 519, 2634, 799, 538, 2490, 949, 2569, 4160, 543, 2566, 2157, 269, 5015, 267, 519, 1164, 2157, 540, 11379, 543, 13101, 948, 6001, 707, 6091, 267, 1519, 519, 2295, 267, 4611, 538, 513, 25695, 1198, 593, 519, 1560, 563, 19102, 1078, 4530, 16238, 20946, 912, 24464, 945, 8532, 695, 559, 1690, 527, 723, 811, 19697, 799, 5012, 547, 513, 2362, 14203, 1293, 543, 2362, 14203, 10688, 269, 1280, 1296, 267, 695, 559, 1690, 527, 814, 1044, 1031, 547, 5818, 19697, 538, 2367, 267, 5732, 11160, 13586, 12680, 585, 15185, 6849, 2591, 609, 17748, 563, 1692, 547, 1491, 1744, 559, 1690, 527, 454, 18814, 547, 922, 3618, 344, 543, 15280, 6492, 267, 10438, 695, 559, 1690, 527, 593, 922, 1378, 666, 581, 3833, 4101, 269, 15706, 1419, 3442, 29893, 610, 14342, 607, 8925, 269, 6271, 4781, 568, 519, 32314, 1106, 799, 666, 581, 10375, 569, 15702, 883, 1216, 610, 5144, 269, 11408, 17982, 9360, 2687, 547, 5528, 269, 634, 5227, 9570, 540, 695, 559, 1690, 527, 568, 476, 4968, 268, 4335, 16936, 829, 1554, 563, 11854, 752, 609, 707, 4387, 1354, 2921, 695, 559, 1690, 527, 269, 4340, 547, 7840, 267, 695, 559, 1690, 527, 568, 5156, 547, 581, 519, 1034, 2500, 950, 3144, 593, 606, 8900, 7181, 267, 23295, 538, 519, 6640, 267, 538, 1931, 547, 5688, 1047, 922, 1648, 20993, 3601, 563, 4537, 559, 1690, 527, 666, 581, 3144, 538, 2789, 1114, 2081, 912, 268, 32254, 281, 476, 273, 268, 275, 512, 4944, 695, 559, 1690, 527, 8869, 6404, 609, 1216, 610, 5144, 2899, 513, 1554, 454, 268, 595, 2355, 2544, 281, 476, 272, 695, 559, 1690, 527, 23555, 2899, 513, 1554, 610, 607, 5227, 676, 519, 4387, 454, 268, 7305, 339, 281, 476, 272, 695, 559, 1690, 527, 16979, 7466, 513, 1554, 610, 607, 5227, 676, 519, 4387, 454, 268, 31201, 338, 543, 9522, 923, 281, 898, 8952, 2960, 30437, 543, 4195, 910, 1039, 519, 10786, 547, 6084, 20143, 543, 20909, 29689, 1212, 4461, 585, 519, 1034, 2500, 4999, 454, 13436, 547, 519, 5354, 540, 9360, 267, 621, 3340, 513, 1974, 540, 942, 547, 7747, 519, 2360, 269, 769, 519, 2013, 540, 695, 559, 1690, 527, 267, 621, 3335, 3217, 476, 273, 268, 274, 3275, 547, 20559, 519, 5222, 593, 707, 2949, 1072, 543, 6197, 563, 22025, 1113, 17121, 12186, 454, 10932, 814, 1044, 2944, 547, 1397, 519, 3106, 2157, 540, 2921, 695, 559, 1690, 527, 607, 513, 1279, 3856, 7110, 269, 1717, 972, 814, 1044, 930, 2427, 2360, 9571, 563, 18128, 2064, 6920, 602, 695, 559, 1690, 527, 779, 2702, 547, 2569, 1973, 2604, 949, 10460, 513, 1981, 585, 2043, 2921, 1164, 1973, 2604, 6646, 610, 609, 513, 1686, 540, 1970, 1973, 2604, 630, 1506, 13607, 3290, 1070, 607, 1134, 607, 1346, 609, 4540, 2295, 2175, 563, 1607, 3351, 2478, 476, 1911, 260, 6986, 1744, 559, 1690, 527, 18300, 1349, 609, 513, 5934, 476, 736, 260, 540, 519, 3742, 12146, 27975, 17771, 18729, 547, 948, 5818, 26176, 2088, 585, 2367, 543, 2021, 607, 1134, 607, 8937, 1072, 269, 898, 568, 8476, 609, 570, 6160, 328, 267, 29518, 1731, 659, 32627, 543, 6519, 4053, 2993, 585, 5021, 10338, 563, 1607, 29881, 543, 13387, 1349, 3568, 1100, 1447, 982, 476, 2568, 260, 3505, 17771, 3679, 1950, 543, 3568, 1164, 2157, 540, 5916, 546, 756, 523, 15605, 8584, 1790, 344, 14772, 543, 546, 756, 523, 15605, 8584, 1790, 10455, 821, 6985, 24418, 1231, 799, 948, 1489, 1648, 2504, 538, 519, 2634, 543, 4887, 5160, 1282, 3635, 563, 763, 2647, 5044, 540, 8810, 1072, 2640, 2404, 609, 695, 559, 1690, 527, 2306, 621, 513, 2067, 7110, 964, 5703, 540, 938, 3007, 563, 2467, 849, 5526, 547, 581, 3875, 2666, 31771, 3156, 540, 695, 559, 1690, 527, 593, 519, 16880, 267, 5732, 8744, 827, 1713, 9283, 547, 1004, 779, 2729, 269, 0, 1432, 1772, 3131, 8327, 531, 17496, 543, 1215, 2052, 1411, 700, 846, 898, 888, 4407, 1034, 1004, 616, 5432, 609, 476, 736, 270, 736, 267, 610, 1256, 476, 736, 270, 1789, 5075, 267, 972, 779, 1776, 1826, 540, 5075, 4502, 1620, 281, 15672, 5075, 563, 8110, 8327, 531, 5075, 568, 519, 851, 540, 707, 8289, 602, 2636, 596, 547, 1294, 1919, 856, 540, 519, 7944, 540, 707, 3750, 269, 10251, 267, 621, 666, 1376, 547, 7771, 609, 2085, 1107, 543, 952, 2451, 31250, 267, 621, 666, 1291, 547, 930, 3978, 2042, 1524, 519, 4155, 563, 1432, 568, 15672, 5075, 888, 2691, 596, 1413, 693, 606, 1843, 267, 707, 4064, 6494, 6786, 547, 707, 2634, 547, 1711, 606, 3239, 269, 901, 3239, 568, 2813, 676, 519, 1769, 602, 9356, 1055, 540, 519, 1843, 543, 883, 707, 3750, 563, 763, 1858, 538, 519, 4099, 540, 713, 3239, 602, 596, 1294, 5693, 568, 1572, 3844, 5075, 267, 1247, 519, 1858, 4478, 3844, 5075, 568, 1572, 15672, 5075, 563, 8110, 8327, 531, 5075, 568, 606, 1898, 851, 540, 707, 8289, 602, 2636, 596, 547, 1294, 3615, 602, 616, 711, 538, 707, 1463, 1899, 540, 8289, 269, 898, 1522, 711, 581, 607, 8325, 607, 707, 3844, 5075, 267, 855, 621, 779, 2629, 585, 4948, 4247, 899, 6117, 267, 6972, 1524, 519, 24383, 267, 543, 1256, 6616, 950, 18825, 568, 4947, 3297, 596, 563, 3383, 267, 1018, 568, 15672, 5075, 2530, 888, 5331, 713, 281, 856, 540, 24076, 267, 707, 5075, 6238, 547, 7522, 269, 14730, 1145, 5956, 1212, 9429, 538, 689, 519, 2451, 267, 1318, 267, 1283, 267, 543, 5377, 267, 543, 607, 596, 11784, 267, 519, 3432, 693, 799, 707, 5075, 562, 541, 4900, 4679, 269, 769, 513, 2339, 540, 3764, 267, 782, 596, 666, 1294, 568, 513, 1507, 15993, 540, 1769, 538, 519, 4099, 540, 707, 5075, 269, 13185, 827, 27337, 4328, 2336, 9827, 1634, 607, 15993, 5075, 267, 15672, 5075, 2530, 568, 513, 6175, 538, 707, 2702, 547, 1294, 3615, 602, 616, 1055, 547, 519, 2427, 269, 1677, 2285, 596, 606, 2856, 540, 875, 938, 2634, 3096, 15672, 5075, 267, 1577, 779, 1491, 513, 6251, 1413, 693, 875, 649, 1184, 2592, 563, 2467, 616, 1079, 2010, 540, 2281, 538, 519, 22100, 281, 25862, 543, 22203, 269, 1230, 525, 616, 5631, 538, 519, 4099, 540, 519, 22100, 267, 799, 568, 3743, 585, 3844, 5075, 543, 2681, 8226, 269, 634, 1964, 568, 4988, 609, 22203, 543, 789, 616, 3743, 585, 15672, 5075, 543, 3781, 5075, 267, 3850, 721, 547, 1294, 538, 1970, 1769, 855, 3246, 1152, 2370, 1469, 563, 2026, 649, 2085, 267, 519, 1297, 540, 22203, 538, 938, 22100, 11081, 1247, 519, 1297, 540, 25862, 13978, 5266, 3586, 267, 799, 5012, 547, 513, 7771, 610, 2530, 540, 15672, 5075, 269, 901, 568, 513, 3339, 851, 540, 10172, 543, 568, 711, 2356, 513, 2014, 585, 6161, 563, 4913, 267, 952, 596, 2461, 7680, 513, 27290, 7771, 610, 6727, 2530, 538, 707, 15672, 5075, 267, 621, 1223, 581, 513, 1129, 540, 513, 811, 3978, 5817, 2783, 7133, 519, 1599, 540, 707, 22203, 563, 5278, 2589, 540, 15672, 5075, 2530, 602, 596, 1058, 4585, 856, 585, 1331, 912, 268, 645, 18804, 883, 3615, 454, 268, 14627, 550, 8813, 454, 268, 11109, 7411, 2542, 610, 6117, 454, 268, 11109, 7411, 7487, 693, 3781, 454, 268, 22628, 4158, 610, 20747, 593, 519, 9018, 8728, 454, 268, 700, 3151, 707, 3666, 610, 4743, 546, 714, 5414, 454, 2691, 596, 1376, 7680, 891, 2589, 267, 596, 1058, 1294, 606, 29555, 332, 6048, 607, 4166, 607, 2009, 547, 1205, 513, 1697, 5868, 543, 2126, 563, 3963, 666, 596, 6336, 15672, 5075, 888, 299, 3151, 15672, 5075, 568, 835, 540, 519, 7887, 4145, 585, 4587, 1004, 267, 855, 621, 666, 849, 1860, 1346, 540, 721, 945, 616, 7820, 563, 4407, 621, 779, 513, 3339, 851, 540, 10172, 267, 972, 616, 849, 1896, 824, 3123, 602, 666, 1291, 547, 15672, 5075, 2530, 267, 971, 607, 912, 268, 9697, 541, 9711, 288, 3056, 2014, 540, 5075, 2530, 267, 513, 25942, 716, 568, 519, 804, 537, 3429, 540, 519, 3750, 779, 2067, 7828, 269, 1306, 25942, 9711, 1020, 267, 789, 666, 2014, 20747, 337, 1465, 267, 1350, 732, 267, 543, 8417, 547, 1769, 563, 268, 4144, 12185, 30636, 14527, 2691, 3987, 568, 711, 1134, 22306, 267, 621, 666, 3441, 519, 1973, 8043, 538, 519, 22100, 267, 3056, 547, 15847, 30636, 14527, 563, 268, 3794, 26153, 2304, 3750, 2783, 602, 14796, 519, 23726, 8229, 267, 799, 11438, 1344, 689, 707, 4064, 547, 707, 2634, 269, 898, 568, 519, 3056, 2014, 540, 21901, 585, 1004, 936, 476, 2568, 1296, 2025, 563, 268, 8065, 1075, 514, 8328, 5061, 7197, 26390, 514, 8328, 5061, 267, 971, 607, 700, 16256, 543, 3235, 560, 6470, 267, 666, 1860, 707, 5075, 267, 3056, 547, 10151, 610, 8628, 15993, 5075, 563, 268, 20353, 9627, 10666, 476, 1789, 260, 540, 1004, 609, 31264, 1995, 3308, 2589, 1572, 606, 513, 3120, 267, 799, 666, 1331, 15993, 5075, 563, 268, 8838, 545, 8411, 4345, 763, 11926, 540, 519, 23726, 8229, 267, 4929, 20747, 787, 610, 3897, 5075, 267, 20585, 543, 535, 12184, 2681, 8226, 267, 543, 1928, 538, 519, 1394, 540, 707, 3750, 23094, 563, 268, 4825, 1400, 1033, 16670, 763, 22100, 568, 513, 6094, 4494, 540, 5160, 693, 519, 1394, 540, 519, 3750, 602, 779 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2474, 540, 519, 744, 6347, 7046, 7457, 14539, 15716, 454, 4415, 519, 1646, 540, 4359, 9804, 5663, 2029, 267, 519, 4359, 9804, 4152, 2029, 814, 849, 1044, 2919, 267, 543, 519, 31785, 5852, 568, 606, 2653, 543, 2500, 9804, 4152, 1907, 799, 568, 2141, 2938, 607, 513, 4152, 3044, 269, 4595, 519, 9804, 5123, 3892, 666, 581, 3362, 13939, 676, 1896, 31785, 9999, 267, 519, 5123, 13346, 31785, 5852, 630, 4916, 296, 264, 814, 1044, 4922, 1031, 538, 9804, 6482, 1496, 272, 1700, 274, 4940, 634, 2773, 540, 623, 10485, 5631, 5673, 593, 519, 31785, 10309, 267, 1604, 543, 5123, 13346, 5690, 630, 4916, 288, 1070, 585, 519, 6378, 31785, 10309, 543, 1604, 267, 14222, 623, 6347, 666, 2087, 519, 2773, 540, 623, 10485, 269, 1323, 14222, 623, 6347, 1058, 723, 1079, 5383, 799, 616, 1164, 6111, 543, 2053, 3058, 4183, 267, 14222, 623, 6347, 1223, 16401, 519, 1114, 5686, 540, 6959, 547, 2087, 519, 6111, 267, 971, 607, 519, 3765, 5632, 12299, 540, 2650, 15605, 20675, 706, 1356, 630, 303, 313, 307, 1070, 18785, 5470, 267, 5854, 1049, 5470, 267, 2011, 31285, 538, 519, 2324, 1604, 267, 16132, 540, 519, 8955, 267, 3092, 1421, 32047, 267, 952, 621, 568, 2653, 547, 2936, 543, 1152, 2115, 1447, 5123, 17146, 31785, 9999, 267, 621, 786, 4688, 942, 267, 2063, 569, 267, 519, 623, 6347, 609, 4351, 5123, 6521, 786, 581, 1202, 17567, 547, 519, 5123, 6521, 5470, 1813, 547, 519, 3765, 5632, 12299, 540, 623, 313, 307, 267, 5854, 1049, 5470, 267, 2011, 31285, 267, 16132, 540, 519, 8955, 4908, 267, 8754, 267, 513, 3728, 543, 4977, 4351, 623, 6347, 568, 1898, 585, 519, 1164, 7779, 9804, 4152, 609, 31785, 5852, 563, 1103, 2487, 1296, 267, 1082, 4351, 13662, 2026, 723, 1044, 2919, 267, 621, 666, 581, 5258, 883, 519, 27952, 543, 1875, 268, 3438, 894, 13662, 2026, 269, 13575, 267, 519, 6111, 540, 519, 27952, 623, 6347, 568, 5266, 1164, 267, 855, 621, 3790, 811, 942, 1317, 540, 519, 27952, 5106, 267, 543, 519, 1875, 268, 3438, 894, 623, 6347, 22939, 1447, 942, 982, 519, 27952, 623, 6347, 267, 855, 519, 6111, 949, 581, 711, 607, 1164, 607, 519, 27952, 623, 6347, 269, 1280, 519, 9804, 1558, 14347, 267, 2523, 585, 519, 538, 2198, 1558, 14347, 267, 519, 8216, 2033, 640, 540, 623, 6347, 568, 1360, 1271, 267, 8754, 267, 1152, 513, 1507, 1297, 540, 27952, 13662, 2026, 723, 1044, 2919, 1496, 275, 1700, 277, 3910, 1034, 3744, 941, 8149, 547, 1382, 519, 1875, 268, 3438, 894, 4351, 623, 6347, 609, 1164, 6111, 563, 1103, 476, 1960, 273, 267, 10787, 22641, 543, 26761, 476, 8246, 700, 1170, 1690, 748, 5515, 543, 31753, 17501, 547, 5173, 519, 5123, 3017, 1063, 1079, 31785, 9999, 267, 543, 538, 476, 1001, 277, 267, 20568, 1696, 620, 269, 476, 6069, 513, 623, 6347, 799, 666, 8195, 1349, 519, 7318, 5123, 543, 5123, 6521, 689, 1152, 1079, 31785, 9999, 1210, 700, 1170, 1690, 748, 4137, 543, 31753, 17501, 2029, 267, 855, 891, 1079, 6620, 1312, 991, 840, 1922, 559, 18146, 543, 519, 1875, 10595, 6134, 8515, 3892, 786, 1860, 519, 6111, 269, 3245, 476, 1220, 274, 547, 476, 1001, 275, 267, 595, 2967, 1696, 620, 269, 1496, 280, 1700, 1704, 316, 6069, 513, 3126, 540, 8579, 6620, 799, 666, 1349, 519, 5123, 10593, 543, 7318, 5123, 267, 2705, 267, 1034, 540, 891, 6620, 991, 547, 917, 519, 14556, 885, 540, 1843, 543, 4704, 267, 543, 1082, 4114, 574, 725, 538, 519, 13662, 2026, 786, 1860, 519, 6111, 269, 3245, 476, 1001, 272, 547, 476, 1001, 278, 1496, 1240, 1700, 2190, 3910, 6069, 513, 3126, 540, 13662, 2026, 1759, 593, 9030, 5057, 2079, 630, 303, 7563, 264, 799, 568, 606, 3608, 4480, 585, 5123, 10868, 676, 14291, 513, 1305, 540, 7654, 17047, 4632, 883, 513, 1305, 540, 2418, 540, 4608, 528, 22366, 4632, 267, 855, 621, 2115, 811, 982, 1614, 31785, 9999, 609, 519, 5123, 6521, 1134, 7856, 1063, 476, 271, 543, 476, 273, 11027, 1317, 621, 2115, 547, 10208, 5266, 4977, 1611, 25746, 3033, 8515, 267, 8754, 267, 519, 811, 519, 31785, 9999, 267, 519, 2362, 519, 6111, 568, 267, 855, 811, 31785, 9999, 786, 1942, 811, 11601, 942, 543, 12985, 942, 267, 621, 568, 2352, 547, 3489, 519, 1164, 6111, 543, 1164, 3432, 8195, 269, 769, 476, 1001, 273, 2073, 4843, 513, 1079, 9912, 1629, 617, 1637, 1759, 593, 519, 12896, 4149, 577, 28704, 9647, 517, 5436, 1436, 1505, 630, 14899, 273, 1070, 621, 3340, 18946, 519, 9823, 2165, 676, 19003, 1354, 7900, 717, 306, 273, 269, 769, 476, 1001, 275, 2073, 6069, 606, 4359, 717, 306, 1505, 1572, 717, 306, 274, 267, 621, 2115, 1614, 5123, 17146, 31785, 9999, 267, 543, 519, 2101, 5413, 540, 713, 1505, 568, 602, 621, 15824, 1134, 950, 519, 5123, 6521, 568, 2673, 547, 12631, 607, 1034, 1079, 9912, 6620, 1831, 23380, 538, 713, 3510, 563, 5804, 519, 1657, 2148, 2137, 267, 649, 1336, 513, 7613, 602, 1082, 13662, 2026, 991, 840, 1922, 559, 18146, 1354, 519, 5123, 10868, 267, 519, 840, 1922, 559, 18146, 1184, 786, 1942, 811, 942, 267, 543, 621, 949, 1860, 519, 6111, 267, 538, 1840, 267, 930, 13662, 2026, 799, 1810, 1406, 991, 840, 1922, 559, 18146, 949, 991, 811, 982, 1614, 31785, 9999, 267, 789, 786, 849, 6108, 811, 942, 269, 13575, 267, 519, 623, 6347, 609, 811, 31785, 9999, 814, 1164, 6111, 543, 1970, 3432, 267, 543, 519, 623, 6347, 609, 1447, 31785, 9999, 814, 1164, 3432, 543, 1970, 6111, 267, 621, 568, 2352, 547, 3489, 519, 1164, 6111, 543, 3432, 8195, 269, 1677, 3666, 519, 12985, 942, 543, 6111, 267, 519, 1382, 540, 1875, 268, 3438, 894, 4351, 623, 6347, 609, 1447, 31785, 9999, 543, 1100, 840, 1922, 559, 18146, 568, 1898, 563, 1103, 713, 1957, 267, 649, 786, 1865, 513, 3728, 543, 4977, 1079, 9912, 623, 6347, 609, 4351, 5123, 6521, 269, 8791, 476, 273, 6799, 519, 6240, 543, 1184, 540, 519, 6069, 623, 6347, 1759, 593, 9030, 5057, 2079, 543, 700, 1170, 1690, 748, 31753, 17501, 630, 303, 7563, 261, 4041, 293, 1040, 769, 8791, 476, 274, 519, 11191, 540, 7193, 288, 261, 4041, 293, 568, 5941, 267, 543, 519, 6476, 540, 7193, 288, 261, 4041, 293, 609, 717, 306, 568, 5340, 269, 8791, 476, 275, 27786, 519, 3209, 7193, 288, 261, 4041, 293, 609, 519, 8097, 1239, 269, 634, 3932, 568, 6368, 6537, 538, 8791, 476, 276, 563, 763, 8515, 7215, 540, 519, 5123, 17146, 31785, 9999, 616, 454, 13420, 566, 630, 272, 264, 666, 581, 17370, 9287, 607, 454, 2690, 7193, 288, 267, 519, 1101, 1900, 568, 19003, 519, 4282, 8515, 676, 18946, 519, 3328, 540, 782, 519, 5123, 17146, 31785, 9999, 267, 2705, 267, 519, 4282, 8515, 666, 581, 1134, 17515, 1152, 950, 519, 5123, 6521, 568, 1134, 7856, 1063, 476, 271, 543, 476, 273, 11027, 543, 519, 1297, 540, 519, 5123, 17146, 31785, 9999, 568, 1804, 2614, 267, 950, 519, 5123, 6521, 568, 968, 12690, 569, 892, 7856, 543, 519, 1297, 540, 5123, 17146, 31785, 9999, 568, 1507, 267, 519, 5123, 13939, 676, 7193, 288, 786, 581, 711, 4977, 267, 543, 2523, 950, 972, 616, 1152, 1079, 5123, 17146, 31785, 9999, 267, 519, 1483, 5123, 666, 1405, 581, 13939, 676, 7193, 288, 2094, 519, 4282, 8515, 666, 685, 581, 17515, 538, 713, 3510, 269, 9747, 267, 649, 1374, 513, 1007, 1505, 799, 666, 1349, 519, 4977, 5123, 1510, 519, 4282, 8515, 19003, 676, 7193, 288, 267, 543, 621, 1152, 2115, 1079, 14477, 5123, 17146, 31785, 9999, 563, 5804, 26169, 269, 630, 273, 1070, 649, 666, 1294, 602, 519, 8515, 540, 519, 5123, 17146, 31785, 6945, 666, 581, 6829, 607, 513, 5276, 4999, 540, 1079, 6786, 267, 519, 4282, 8515, 543, 6846, 2165, 269, 3973, 267, 649, 666, 27682, 26169, 269, 630, 273, 264, 607, 454, 763, 31809, 5119, 595, 666, 581, 6829, 607, 454, 9616, 602, 267, 568, 1483, 543, 21136, 5119, 267, 621, 666, 581, 15497, 1242, 607, 267, 1141, 543, 616, 15497, 543, 26667, 14290, 9950, 336, 269, 630, 277, 1070, 649, 666, 1205, 519, 4082, 540, 607, 292, 336, 269, 630, 1321, 264, 666, 581, 17370, 9287, 607, 292, 336, 338, 269, 630, 275, 1070, 630, 278, 264, 543, 630, 1428, 1070, 649, 723, 292, 336, 269, 630, 1626, 264, 666, 581, 17370, 9287, 607, 292, 336, 269, 630, 278, 1070, 26169, 269, 630, 274, 264, 666, 581, 17370, 9287, 607, 454, 763, 6240, 3334, 540, 519, 31785, 9999, 616, 2016, 676, 454, 763, 5123, 786, 581, 13939, 676, 7193, 288, 1210, 519, 1101, 543, 2034, 3334, 630, 345, 272, 543, 1990, 273, 1070, 602, 14687, 547, 519, 5207, 27744, 267, 607, 26169, 269, 630, 2420, 1040, 292, 336, 338, 269, 630, 1704, 264, 543, 630, 736, 1070, 649, 666, 1533, 602, 772, 543, 667, 5330, 547, 543, 6606, 269, 3973, 267, 649, 666, 27682, 26169, 269, 630, 2641, 264, 607, 454, 2171, 917, 602, 529, 513, 476, 273, 6398, 476, 273, 26667, 5119, 267, 865, 621, 666, 581, 6829, 607, 292, 336, 269, 630, 2767, 264, 666, 581, 17370, 9287, 607, 292, 336, 269, 630, 2764, 264, 568, 1175, 606, 31753, 3830, 267, 13420, 566, 630, 2764, 264, 666, 581, 9450, 607, 513, 2489, 598, 545, 1599, 281, 292, 336, 269, 630, 4029, 264, 2115, 547, 2743, 519, 2175, 540, 543, 1547, 769, 519, 1739, 267, 519, 1483, 5123, 3892, 786, 581, 5833, 676, 519, 700, 1170, 1690, 748, 31753, 17501, 630, 4041, 293, 264, 1505, 269, 17616, 267, 676, 28321, 1990, 273, 1996, 1990, 272, 538, 513, 31951, 11282, 267, 513, 700, 1170, 1690, 748, 31753, 799, 568, 1175, 519, 6041, 540, 26169, 269, 630, 2764, 264, 786, 581, 2813, 267, 543, 621, 786, 581, 2653, 547, 5173, 519, 598, 545, 14170, 540, 26169, 269, 630, 4029, 264, 676, 519, 2547, 10945, 5690, 267, 1287, 267, 519, 10859, 2173, 1994, 17931, 267, 10859, 15902, 528, 17931, 267, 519, 4099, 15558, 543, 666, 581, 7229, 607, 292, 336, 338, 269, 630, 2767, 264, 543, 630, 2764, 1070, 519, 5123, 666, 581, 3362, 7229, 607, 454, 17780, 593, 519, 3741, 540, 7193, 288, 543, 700, 9128, 267, 649, 15974, 513, 3209, 1505, 1572, 6240, 3334, 2079, 543, 700, 1170, 1690, 748, 31753, 17501, 5690, 630, 303, 7563, 261, 4041, 293, 1070, 621, 666, 1349, 519, 5123, 3892, 689, 1079, 14477, 5123, 17146, 31785, 9999, 1510, 4282, 8515, 19003, 267, 621, 18788, 519, 19231, 602, 7193, 288, 2115, 811, 982, 1614, 31785, 9999, 609, 1134, 7856, 5123, 10593, 547, 10208, 5266, 4977, 1611, 25746, 3033, 8515, 269, 769, 519, 1739, 267, 649, 786, 6338, 519, 1184, 540, 519, 6069, 1505, 538, 1469, 912, 268, 476, 272, 264, 2637, 4733, 513, 5119, 594, 609, 2450, 540, 267, 1141, 519, 32671, 6241, 568, 3144, 6241, 3772, 689, 519, 8515, 540, 32671, 5123, 17146, 31785, 9999, 3248, 268, 476, 273, 264, 5173, 519, 31809, 5119, 595, 676, 3830, 3248, 268, 476, 274, 264, 5173, 519, 26667, 5119, 1519, 519, 14802, 27523, 540, 519, 31809, 5119, 595, 3248, 268, 476, 275, 264, 3489, 519, 1101, 543, 2034, 6240, 3334, 630, 345, 272, 543, 1990, 273, 264, 799, 14687, 547, 519, 5207, 27744, 676, 476, 3248, 268, 476, 276, 264, 4729, 606, 16977, 31753, 609, 1990, 273, 607, 519, 1535, 11282, 543, 1990, 272, 607, 519, 586, 11282, 3248, 268, 476, 277, 264, 5173, 519, 10859, 2173, 1994, 17931, 2073, 10859, 15902, 528, 17931, 2073, 519, 4099, 15558, 543, 540, 519, 700, 1170, 1690, 748, 31753, 1210, 700, 9128, 676, 26169, 269, 630, 3953, 11850, 268, 476, 278, 264, 5173, 519, 5123, 3892, 1210, 26169, 269, 630, 3451, 1916, 763, 2898, 5650, 540, 519, 7193, 288, 261, 4041, 293, 568, 11609, 538, 8431, 269, 476, 272, 563, 2414, 13182, 519, 7145, 540, 519, 1505, 6069, 1657, 267, 649, 1685, 513, 3126, 540, 10230, 13502, 267, 543, 5635, 621, 609, 717, 306, 799, 568, 513, 1134, 3887, 1998, 18050, 1079, 9912, 4351, 623, 6347, 267, 4063, 602, 267, 519, 23664, 6975, 6953, 340, 836, 840, 1922, 559, 18146, 786, 581, 5340, 1354, 1210, 717, 306, 269, 769, 519, 1739, 267, 782, 26398, 616, 5340, 609, 519, 17765, 540, 27311, 27562, 264, 11759, 24867, 300, 264, 1775, 278, 268, 277, 3583, 271, 543, 519, 476, 279, 26838, 3965, 267, 543, 649, 946, 519, 4223, 18350, 3301, 585, 8193, 282, 8943, 476, 272, 540, 7193, 288, 261, 4041, 293 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 257, 14818, 2480, 1681, 543, 5811, 4635, 590, 3008, 630, 1001, 275, 994, 6637, 476, 279, 269, 1323, 4985, 547, 30014, 15863, 7869, 910, 11550, 290, 16843, 307, 454, 7644, 307, 6763, 585, 30014, 15863, 7869, 267, 606, 1935, 547, 7421, 1449, 1239, 543, 2679, 4255, 602, 814, 1044, 538, 1646, 2094, 519, 476, 3422, 271, 338, 269, 898, 568, 3006, 5219, 547, 607, 2413, 1449, 3069, 607, 10353, 547, 8106, 1449, 3069, 267, 799, 18271, 2035, 899, 595, 1258, 22138, 779, 11664, 13672, 543, 6221, 270, 11687, 21374, 269, 4014, 8106, 1449, 3069, 568, 1869, 4922, 1031, 267, 2523, 538, 2665, 1141, 519, 1449, 568, 1031, 1152, 2899, 543, 585, 3871, 1141, 519, 1297, 540, 4983, 525, 568, 1507, 267, 16843, 307, 814, 1831, 519, 8789, 1935, 547, 1449, 2079, 538, 1804, 4152, 3292, 630, 20459, 20389, 338, 267, 14330, 2969, 338, 267, 543, 3486, 16198, 899, 623, 7644, 11862, 543, 29376, 5960, 264, 543, 849, 538, 3292, 585, 13995, 540, 1804, 2338, 540, 1053, 630, 1492, 3046, 981, 585, 17864, 267, 585, 1383, 1040, 16340, 569, 6340, 267, 952, 596, 723, 513, 1449, 602, 568, 1373, 2016, 547, 1447, 982, 476, 1911, 1004, 267, 543, 585, 799, 596, 1810, 1406, 1544, 593, 10451, 606, 6221, 4871, 547, 7485, 689, 267, 596, 616, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2005, 655, 15863, 7869, 630, 7644, 307, 17983, 607, 851, 540, 834, 3633, 24102, 1315, 13281, 1299, 20970, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 272, 281, 24531, 1715, 2622, 338, 998, 7335, 692, 5970, 596, 2479, 4862, 540, 834, 14937, 21582, 24742, 7931, 1734, 22172, 3143, 286, 4270, 267, 1577, 781, 4685, 883, 713, 4241, 24848, 516, 1927, 256, 1411, 1522, 4898, 1018, 10800, 2692, 903, 543, 15832, 723, 538, 1455, 609, 3979, 1977, 2528, 269, 1635, 3695, 1114, 2010, 540, 2984, 267, 649, 1930, 6000, 909, 547, 1007, 2833, 543, 1451, 827, 1585, 2950, 543, 741, 2189, 12583, 269, 901, 3184, 786, 6338, 596, 547, 519, 1523, 540, 4563, 21582, 24742, 7931, 1734, 543, 1946, 789, 2339, 269, 1924, 10544, 513, 1433, 543, 6443, 803, 593, 713, 5339, 7045, 2439, 4089, 476, 272, 281, 1548, 3657, 4563, 21582, 24742, 7931, 1734, 2496, 5331, 3054, 7086, 14563, 2066, 5318, 9299, 597, 625, 593, 7504, 3724, 896, 519, 1025, 5074, 3141, 267, 1175, 899, 513, 12703, 10800, 24742, 269, 3767, 4952, 9991, 538, 2648, 1247, 3257, 865, 256, 2334, 781, 10502, 1018, 4523, 538, 4563, 21582, 24742, 7931, 1734, 269, 1452, 2835, 9192, 519, 13858, 9035, 540, 10800, 24742, 1272, 609, 4190, 2648, 2984, 10023, 2178, 267, 13730, 3197, 945, 2697, 607, 851, 540, 519, 3979, 1977, 2146, 269, 3807, 607, 972, 616, 32741, 1305, 538, 2413, 4872, 267, 3140, 2053, 267, 610, 1256, 28531, 26441, 267, 891, 9089, 3560, 721, 547, 519, 3552, 7178, 855, 4099, 1472, 3109, 10800, 2692, 903, 543, 5869, 1149, 780, 4089, 476, 273, 281, 4208, 9701, 1284, 5516, 6168, 4563, 21582, 24742, 7931, 1734, 2496, 2791, 1522, 2307, 3054, 267, 834, 3963, 1281, 2542, 827, 3109, 10800, 2692, 903, 543, 741, 11509, 15413, 3547, 2339, 8119, 4279, 2243, 256, 1280, 5553, 267, 2442, 2923, 814, 17814, 1978, 2592, 12145, 938, 1620, 540, 1686, 543, 4763, 269, 7734, 1683, 3255, 547, 4161, 1346, 11475, 676, 9306, 4244, 5380, 543, 11423, 10616, 2451, 856, 540, 2757, 6386, 269, 7335, 827, 3109, 10800, 2692, 903, 2636, 721, 547, 5660, 741, 7418, 547, 1977, 1686, 543, 1174, 875, 3309, 2516, 15548, 538, 2679, 938, 4182, 269, 9578, 267, 891, 2984, 4183, 9159, 8941, 4904, 609, 22838, 267, 6612, 267, 543, 10761, 1765, 15367, 9327, 1405, 1616, 547, 1224, 873, 31841, 4089, 476, 274, 281, 9669, 585, 667, 1516, 20553, 4563, 21582, 24742, 7931, 1734, 692, 28275, 4376, 1007, 666, 1745, 25254, 693, 1101, 267, 2523, 950, 11362, 883, 14542, 11964, 610, 5396, 269, 1809, 1810, 1405, 5855, 282, 1934, 616, 930, 4388, 547, 948, 596, 7832, 18390, 593, 707, 3460, 1384, 265, 13185, 547, 1866, 281, 9523, 707, 7279, 609, 1920, 2818, 267, 3610, 267, 610, 7172, 12579, 269, 1358, 949, 4363, 1390, 10643, 610, 2709, 4030, 883, 519, 9135, 563, 265, 4855, 11541, 2609, 281, 6733, 585, 3344, 540, 519, 1650, 602, 13469, 609, 707, 1378, 2833, 610, 4690, 269, 9320, 596, 2671, 513, 2648, 585, 9640, 267, 7045, 267, 610, 12423, 6456, 18408, 563, 265, 22737, 9636, 281, 6884, 267, 1565, 1797, 19480, 3544, 540, 938, 4313, 10851, 269, 5213, 1405, 21183, 2476, 689, 4101, 3584, 610, 1950, 4664, 269, 5502, 267, 946, 873, 607, 8458, 547, 1332, 543, 4228, 707, 20030, 780, 8855, 267, 1169, 5467, 6238, 12341, 269, 2142, 3461, 267, 8049, 267, 543, 9784, 519, 7772, 540, 6602, 269, 17652, 2614, 267, 596, 3513, 1265, 3054, 27153, 538, 519, 1158, 540, 4563, 21582, 24742, 7931, 1734, 2439, 1103, 10390, 1384, 1607, 3184, 5189, 596, 547, 519, 3078, 7706, 540, 4563, 21582, 24742, 7931, 1734, 267, 10771, 519, 2956, 540, 8508, 4763, 543, 9750, 938, 1620, 540, 1686, 998, 3332, 269, 2060, 1142, 2985, 5828, 267, 596, 10625, 4195, 5380, 543, 15052, 707, 7071, 585, 519, 1480, 1995, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1101, 1554, 540, 29655, 7296, 568, 1851, 519, 1082, 23698, 1896, 2395, 269, 594, 2161, 621, 779, 835, 1369, 519, 23698, 2094, 713, 568, 519, 1554, 1141, 596, 2461, 8380, 11735, 707, 3983, 7296, 6208, 543, 6368, 1818, 513, 1689, 585, 1732, 269, 634, 1101, 1554, 540, 29655, 7296, 3085, 1406, 723, 547, 581, 513, 2182, 1554, 1107, 596, 1152, 723, 547, 917, 11449, 29655, 949, 581, 563, 3086, 267, 1808, 602, 596, 2995, 707, 538, 1840, 547, 2828, 596, 616, 29655, 269, 13207, 2130, 1945, 3606, 1004, 786, 2285, 596, 642, 2224, 642, 1901, 811, 2601, 711, 547, 979, 1394, 547, 707, 8912, 4356, 269, 4165, 4602, 622, 782, 519, 2152, 596, 786, 7237, 952, 596, 3068, 519, 733, 3949, 540, 29655, 269, 4495, 596, 1376, 7680, 15522, 15639, 2589, 267, 621, 666, 4443, 547, 581, 2111, 547, 1394, 267, 3787, 811, 1547, 596, 616, 1305, 585, 713, 267, 596, 616, 1447, 2469, 547, 2285, 1210, 269, 5269, 2386, 949, 9004, 1022, 10269, 5829, 2472, 689, 707, 1286, 267, 2777, 543, 960, 269, 2353, 707, 607, 6255, 7590, 543, 16906, 24502, 568, 2469, 269, 3973, 267, 3343, 948, 1055, 513, 2564, 575, 15843, 563, 11754, 3635, 547, 707, 12353, 6296, 547, 5372, 7296, 269, 7296, 20739, 752, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14937, 21582, 24742, 7931, 1734, 257, 607, 851, 540, 834, 11227, 1315, 23620, 1315, 3979, 1977, 1299, 4563, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 538, 519, 844, 5593, 4884, 540, 590, 7967, 640, 25951, 267, 5030, 1079, 1655, 2828, 267, 23183, 543, 16092, 269, 23183, 729, 513, 22111, 1268, 945, 3576, 1390, 11348, 538, 1200, 5920, 543, 10450, 267, 1247, 16092, 729, 811, 9788, 1394, 267, 1419, 6028, 1919, 11489, 519, 2063, 8792, 269, 1358, 941, 607, 1114, 607, 25879, 543, 10381, 855, 3838, 606, 796, 19874, 762, 6125, 780, 3080, 13566, 12784, 267, 1310, 4730, 30321, 609, 1200, 2915, 7665, 267, 23183, 4362, 513, 1804, 267, 544, 28854, 30392, 1820, 593, 1200, 29814, 3043, 24095, 269, 674, 745, 1598, 730, 267, 1352, 1572, 936, 16092, 585, 948, 269, 834, 297, 600, 773, 10590, 1352, 524, 3072, 856, 267, 834, 16100, 1018, 7665, 814, 2944, 256, 1684, 596, 917, 875, 547, 1205, 7759, 540, 713, 29134, 12962, 12482, 297, 600, 773, 695, 745, 13949, 1875, 577, 531, 14688, 267, 834, 3963, 711, 2119, 1210, 930, 11256, 14614, 543, 16693, 286, 898, 1568, 13300, 585, 1034, 25859, 3010, 300, 807, 21330, 267, 5462, 547, 11177, 1200, 24095, 547, 922, 5449, 18710, 269, 2701, 6404, 3160, 2694, 11256, 14614, 543, 16693, 883, 513, 5394, 13594, 543, 4294, 621, 1252, 3585, 5196, 519, 12962, 269, 1306, 789, 31372, 585, 13977, 3764, 267, 519, 7848, 3459, 547, 535, 11170, 548, 543, 19389, 267, 1454, 899, 513, 2257, 4603, 780, 19602, 267, 8049, 6723, 267, 741, 11361, 7023, 267, 890, 1229, 689, 1010, 6885, 2066, 519, 8265, 269, 1261, 8068, 519, 862, 10056, 543, 4956, 547, 6443, 873, 269, 2060, 1296, 540, 7326, 896, 1010, 12966, 267, 646, 4280, 267, 834, 5970, 596, 6836, 7738, 621, 609, 8630, 14614, 267, 1762, 14799, 286, 2334, 781, 1776, 1505, 602, 1568, 1134, 3010, 20442, 10093, 1405, 2943, 267, 6004, 269, 6723, 2437, 14452, 23183, 1135, 7019, 267, 18507, 585, 1010, 5796, 269, 2991, 32092, 532, 1055, 519, 11256, 14614, 13594, 267, 789, 23953, 8630, 14614, 2047, 5196, 519, 12962, 543, 14478, 607, 621, 3323, 7106, 8960, 3787, 676, 3787, 269, 22628, 741, 1967, 267, 6004, 269, 6723, 20493, 27145, 1354, 16144, 1394, 1753, 780, 4913, 267, 1175, 950, 789, 2219, 789, 1185, 22482, 519, 12962, 267, 789, 7691, 972, 729, 1869, 513, 25861, 1665, 2451, 3297, 269, 769, 18418, 566, 267, 16092, 6700, 11544, 7250, 25681, 267, 8670, 12853, 267, 543, 1216, 1927, 269, 595, 2246, 13124, 267, 789, 546, 629, 5523, 519, 3070, 5196, 519, 6967, 12962, 543, 5402, 28103, 5523, 2476, 269, 1677, 741, 10508, 267, 519, 3803, 15244, 540, 519, 30392, 1820, 8709, 1639, 780, 9961, 713, 3003, 610, 1372, 531, 267, 7665, 2893, 23900, 22290, 873, 267, 4743, 16944, 585, 4929, 865, 1454, 8373, 269, 7464, 1944, 713, 267, 23183, 554, 28289, 1864, 2673, 543, 1767, 267, 834, 10673, 1405, 5855, 267, 14609, 344, 269, 6452, 6342, 4755, 269, 1809, 3314, 1985, 942, 267, 1100, 4881, 1472, 3330, 519, 2777, 15323, 1103, 519, 1439, 267, 7064, 547, 16542, 267, 9639, 267, 543, 1896, 3730, 4388, 267, 23183, 7307, 547, 4894, 519, 29134, 12962, 689, 1200, 11537, 24095, 269, 2859, 11932, 267, 1352, 4121, 3407, 4245, 827, 6043, 267, 5539, 267, 543, 19807, 1107, 7592, 602, 1131, 4196, 1200, 1134, 2429, 1272, 269, 1656, 782, 621, 3576, 729, 513, 2370, 3190, 2813, 676, 812, 781, 1655, 3659, 256, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 2710, 596, 723, 1022, 2500, 2409, 585, 7231, 609, 29134, 25859, 593, 15790, 1115, 543, 11647, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 723, 2123, 1995, 538, 7231, 609, 29134, 25859, 593, 15790, 1115, 543, 11647, 267, 855, 1934, 616, 930, 2500, 2409, 602, 1004, 4122, 946, 1384, 272, 269, 645, 1136, 14614, 543, 16693, 910, 17186, 3160, 2694, 540, 11256, 14614, 543, 16693, 547, 1106, 513, 13594, 267, 4019, 621, 547, 519, 12962, 267, 543, 1577, 621, 1694, 585, 476, 1789, 3764, 547, 606, 5662, 269, 681, 20600, 609, 1216, 543, 12511, 909, 4430, 7509, 780, 273, 269, 11833, 14614, 910, 32449, 8630, 14614, 593, 519, 12962, 543, 1025, 582, 621, 609, 513, 12308, 2394, 519, 12962, 568, 6569, 780, 274, 269, 25756, 25681, 910, 17186, 7250, 25681, 609, 8670, 12853, 543, 1216, 267, 4019, 621, 547, 519, 12962, 267, 543, 1577, 621, 1694, 585, 476, 276, 268, 1015, 3764, 269, 2349, 582, 519, 12962, 609, 513, 2973, 12308, 2394, 621, 568, 6569, 780, 275, 269, 12397, 560, 1105, 910, 14109, 30257, 8970, 560, 1105, 593, 519, 12962, 267, 1577, 621, 1694, 585, 476, 1789, 3764, 267, 543, 12511, 621, 909, 269, 19244, 519, 1184, 2394, 519, 12962, 568 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 711, 6535, 656, 1227, 3238, 267, 789, 7283, 2673, 2828, 267, 10027, 5109, 519, 1871, 540, 7925, 2792, 1657, 782, 3116, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 9989, 519, 4670, 2709, 1022, 3435, 610, 8925, 547, 21603, 3347, 543, 25796, 2623, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 3112, 1683, 1250, 2123, 6644, 267, 855, 834, 293, 12188, 609, 11588, 257, 28420, 519, 1291, 3197, 16734, 602, 789, 1616, 4514, 4296, 543, 1483, 3929, 25055, 267, 799, 4422, 3564, 3023, 269, 27870, 519, 1439, 540, 519, 4670, 267, 789, 11760, 741, 4606, 585, 1142, 824, 543, 6430, 547, 11654, 513, 9758, 11509, 2078, 267, 10834, 602, 3020, 8788, 543, 20106, 2097, 689, 2348, 513, 8149, 543, 8076, 2078, 609, 2576, 269, 3958, 267, 519, 4670, 849, 2982, 519, 2956, 540, 2792, 267, 19969, 267, 543, 13438, 538, 2679, 6209, 4296, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 8080, 547, 938, 3408, 540, 12194, 543, 875, 789, 666, 1860, 721, 256, 4653, 267, 649, 2811, 2469, 547, 4685, 883, 1945, 1572, 9866, 612, 633, 4211, 20234, 14601, 13081, 267, 1419, 5219, 547, 607, 24753, 269, 5213, 1405, 5855, 910, 713, 3085, 1405, 1611, 596, 991, 547, 581, 2706, 6896, 610, 2648, 7738, 269, 898, 781, 2965, 513, 2603, 811, 7294, 982, 602, 256, 1284, 3513, 1445, 593, 835, 1880, 2460, 540, 24753, 1634, 607, 519, 834, 325, 792, 540, 1818, 9073, 1701, 5620, 596, 2479, 5433, 2731, 14126, 827, 3478, 1945, 4636, 286, 9320, 950, 2921, 513, 1449, 693, 1153, 610, 4730, 513, 7328, 286, 4270, 267, 4952, 4743, 899, 602, 782, 519, 942, 936, 6263, 1919, 1107, 4992, 7168, 9157, 267, 1318, 286, 2913, 781, 1451, 811, 2439, 5575, 1055, 267, 1577, 781, 1174, 1018, 24753, 1797, 269, 3807, 899, 2348, 1079, 4064, 610, 4557, 11263, 267, 24753, 568, 1776, 8984, 602, 930, 1004, 6923, 723, 269, 1879, 2576, 814, 24753, 267, 789, 1995, 13311, 4555, 267, 4606, 267, 610, 2712, 2471, 602, 1711, 9636, 610, 2566, 269, 1452, 616, 1572, 18930, 687, 269, 6884, 891, 13943, 4606, 2014, 873, 547, 798, 1978, 1919, 14578, 547, 1745, 1732, 269, 8409, 3527, 616, 1572, 22079, 687, 269, 1924, 267, 952, 2576, 609, 24753, 4991, 18901, 540, 3190, 532, 909, 267, 789, 1522, 5595, 27902, 3388, 2789, 2053, 1175, 547, 2327, 4986, 4422, 993, 1170, 269, 8528, 3086, 267, 1577, 781, 24680, 538, 593, 519, 4250, 540, 1818, 9073, 269, 5994, 2141, 20468, 827, 3257, 1945, 27235, 267, 899, 30534, 547, 2490, 1055, 519, 8279, 1354, 6028, 1753, 610, 18417, 838, 3739, 10433, 593, 707, 6780, 269, 4658, 7231, 609, 713, 1826, 540, 4250, 7683, 1589, 827, 2009, 6959, 267, 1100, 2339, 875, 1507, 269, 1358, 1223, 1831, 865, 14221, 827, 1373, 19451, 602, 789, 1020, 6208, 971, 607, 10992, 543, 973, 515, 9535, 960, 267, 6998, 6266, 540, 2055, 267, 610, 5275, 3586, 15260, 4269, 269, 901, 5571, 4783, 3217, 2476, 1648, 543, 18399, 689, 3232, 2238, 780, 2080, 781, 1141, 1919, 1205, 4277, 269, 9894, 596, 917, 602, 3006, 938, 12058, 1404, 15361, 593, 721, 286, 2334, 2370, 5639, 3330, 707, 2212, 6031, 834, 6343, 952, 8119, 1259, 1932, 1454, 568, 2186, 540, 899, 513, 14229, 21294, 4012, 6509, 3843, 547, 16297, 596, 609, 17559, 9059, 15361, 269, 1809, 3314, 267, 1346, 15361, 5749, 1405, 1483, 267, 543, 9444, 616, 1034, 540, 519, 19048, 4947, 689, 519, 4250, 540, 1818, 9073, 269, 31418, 1512, 1767, 982, 2944, 267, 1498, 267, 1318, 286, 1546, 2718, 609, 24753, 3884, 1405, 12193, 16074, 267, 855, 1620, 1946, 621, 4523, 666, 581, 16779, 269, 2060, 9639, 267, 2259, 267, 543, 6148, 930, 5583, 689, 4648, 945, 20647, 538, 4543, 1004, 4308, 609, 24753, 267, 4896, 10010, 666, 1265, 8323, 780, 3383, 267, 1985, 942, 596, 5469, 3054, 31361, 1154, 827, 19870, 267, 1491, 513, 2620, 7362, 269, 3911, 850, 6616, 602, 3025, 2306, 9073, 543, 602, 789, 2811, 1271, 19480, 10007, 2509, 1565, 1007, 8631, 269, 10312, 593, 3356, 2864, 982, 19870, 1317, 3972, 803, 267, 18864, 781, 3501, 256, 1656, 3314, 267, 952, 596, 610, 2576, 3116, 9060, 2933, 16290, 538, 519, 4783, 540, 4250, 543, 8969, 267, 1810, 1405, 19292, 547, 2307, 585, 948, 269, 2991, 782, 267, 649, 4312, 3893, 1142, 824, 781, 19758, 538, 713, 3460, 1927, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24679, 779, 711, 827, 968, 338, 333, 6260, 856, 540, 621, 282, 892, 596, 17330, 519, 1489, 547, 948, 596, 29379, 707, 1272, 563, 25332, 612, 633, 4211, 20234, 14601, 13081, 630, 302, 7374, 264, 568, 513, 2790, 1072, 2783, 602, 5540, 6634, 540, 1004, 2066, 519, 1158, 269, 2755, 621, 779, 1455, 547, 723, 519, 17573, 703, 28424, 4555, 610, 1685, 513, 16625, 2623, 1934, 610, 972, 267, 2043, 609, 24753, 786, 723, 13311, 4555, 267, 17915, 267, 543, 2790, 5961, 630, 1492, 18930, 687, 264, 602, 1287, 2285, 4473, 547, 16625, 5615, 543, 5924, 3206, 3270, 630, 1492, 22079, 687, 1040, 1280, 1383, 267, 707, 4555, 949, 4368, 622, 796, 19055, 2406, 593, 513, 4250, 540, 2800, 581, 6420, 532, 3054, 610, 1866, 267, 4145, 827, 12526, 267, 610, 513, 4250, 540, 1818, 513, 12161, 630, 1721, 930, 267, 519, 4555, 949, 849, 4655, 609, 741, 2418, 267, 3853, 267, 610, 16858, 267, 799, 666, 581, 1256, 811, 1950, 543, 1253, 7675, 1040, 769, 606, 3801, 547, 13468, 519, 1713, 9636, 543, 4160, 15427, 676, 519, 31117, 267, 596, 1522, 1287, 23494, 1688, 11547, 267, 2638, 267, 1293, 267, 610, 10956, 1808, 3527, 269, 10705, 267, 606, 7920, 4250, 540, 7334, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 792, 540, 10435, 27190, 1389, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 3281, 14601, 10263, 1315, 9866, 612, 633, 3281, 14601, 13081, 630, 302, 7374, 29215, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7982, 950, 594, 729, 538, 2852, 267, 594, 1185, 2141, 1044, 19832, 676, 13395, 3140, 2621, 543, 741, 2484, 23568, 5222, 269, 2290, 2680, 602, 3226, 27278, 803, 729, 519, 23162, 7323, 850, 19822, 543, 922, 21987, 269, 1924, 267, 585, 1250, 3803, 1957, 538, 513, 1686, 1362, 267, 594, 4956, 547, 2263, 875, 519, 6433, 4299, 519, 2797, 543, 2804, 3347, 1063, 18010, 543, 519, 2136, 2276, 780, 2026, 851, 540, 1250, 1382, 267, 594, 16686, 2390, 606, 4277, 23749, 8142, 1141, 3755, 941, 7234, 519, 1360, 1888, 594, 729, 4974, 269, 2271, 29098, 267, 594, 2813, 513, 27024, 543, 8678, 519, 6643, 269, 1284, 1642, 1386, 4514, 883, 519, 1641, 267, 4687, 4030, 689, 1585, 2959, 649, 1336, 1282, 938, 1378, 1382, 269, 898, 3533, 2968, 7805, 602, 1082, 1004, 941, 23387, 540, 1175, 875, 3648, 519, 6433, 8032, 772, 2529, 11607, 290, 18866, 1894, 780, 3080, 3593, 3957, 834, 20931, 321, 4428, 5655, 257, 5018, 1945, 8966, 827, 1010, 1920, 4282, 1107, 646, 10645, 547, 723, 14077, 945, 1869, 5030, 538, 18010, 267, 2324, 538, 519, 524, 580, 541, 2872, 269, 3778, 321, 4428, 5655, 12212, 4607, 1416, 15004, 5627, 29586, 524, 580, 1513, 18705, 676, 891, 11397, 14077, 269, 1261, 1256, 795, 12097, 827, 2348, 513, 834, 332, 1961, 257, 3330, 18010, 267, 11488, 1864, 4686, 3688, 602, 1223, 711, 6382, 581, 5833, 1813, 547, 519, 5571, 4123, 2377, 14417, 780, 296, 7948, 1405, 948, 855, 2307, 952, 646, 1131, 581, 8348, 547, 2671, 1022, 2984, 610, 2833, 3823, 519, 2729, 540, 1346, 2713, 896, 971, 9993, 269, 1677, 1250, 9983, 267, 1686, 321, 4428, 5655, 8815, 256, 3683, 942, 267, 646, 11540, 1896, 10311, 24223, 519, 9620, 543, 6043, 540, 1010, 23162, 14077, 269, 1358, 12038, 540, 3908, 2200, 543, 3255, 855, 849, 6829, 11348, 538, 741, 6561, 543, 2528, 5103, 519, 2591, 789, 5185, 3232, 780, 10190, 3357, 519, 6397, 4729, 6335, 281, 538, 835, 9337, 267, 1686, 321, 4428, 5655, 7000, 602, 1010, 1920, 2818, 4941, 547, 1376, 13143, 532, 741, 1148, 16388, 958, 1500, 524, 580, 1513, 2047, 547, 5561, 538, 519, 2136, 2276, 269, 1717, 267, 3257, 865, 5921, 10188, 998, 6106, 540, 29904, 6483, 543, 3656, 10848, 4547, 827, 676, 519, 5756, 17489, 4123, 2377, 14417, 269, 3509, 23551, 6002, 9415, 1686, 321, 4428, 275, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 1705, 519, 23828, 6433, 1764, 519, 2797, 543, 2804, 1894, 1063, 18010, 543, 519, 2136, 2276, 538, 519, 1279, 2196, 888, 763, 23828, 6433, 1185, 513, 7096, 1764, 593, 519, 2797, 543, 2804, 1894, 1063, 18010, 543, 519, 2136, 2276, 538, 519, 1279, 2196, 269, 7971, 1227, 267, 621, 3366, 547, 513, 29947, 540, 519, 678, 3424, 602, 1185, 11478, 1063, 18010, 543, 519, 2136, 2276, 2094, 674, 14988, 10011, 549, 3357, 547, 1379, 538, 476, 4198, 280, 269, 634, 6433, 3927, 9672, 18010, 781, 4567, 607, 513, 8168, 24343, 543, 3366, 547, 513, 14304, 540, 519, 8168, 4211, 889, 534, 2078, 780, 292, 1595, 1227, 267, 519, 2136, 2276, 8045, 513, 7453, 2804, 543, 4123, 2377, 14417, 1996, 18010, 602, 3788, 538, 1747, 547, 713, 1554, 269, 634, 2377, 14417, 16094, 9673, 1206, 18010, 781, 2702, 547, 4497, 538, 4123, 609, 519, 2136, 2276, 267, 799, 568, 835, 540, 519, 1158, 781, 4102, 11615, 269, 901, 814, 1185, 513, 1713, 1764, 593, 519, 23162, 4346, 267, 799, 814, 17388, 547, 1020, 543, 1332, 2094, 519, 2377, 14417, 729, 13684, 780, 763, 1279, 3856, 1198, 540, 519, 23828, 6433, 593, 18010, 781, 2078, 609, 519, 2136, 853, 320, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 17345, 5149, 281, 4197, 962, 1690, 3534, 910, 589, 10513, 9605, 681, 3770, 538, 18420, 692, 9213, 267, 649, 2811, 2469, 547, 1451, 827, 606, 3504, 2259, 1572, 962, 1690, 3534, 267, 799, 568, 513, 1826, 540, 3595, 9161, 5340, 676, 27734, 1472, 519, 1158, 269, 1411, 1522, 4898, 1946, 649, 9364, 1616, 547, 1353, 1945, 865, 1808, 607, 513, 3909, 9161, 267, 855, 1620, 1114, 4529, 2337, 721, 5660, 938, 1378, 811, 7184, 1247, 1565, 827, 1866, 8339, 1924, 267, 616, 596, 4712, 286, 2913, 781, 4685, 883, 519, 4241, 1158, 540, 962, 1690, 3534, 2439, 1432, 568, 962, 1690, 3534, 888, 312, 1690, 3534, 2501, 689, 519, 16130, 1893, 267, 2495, 1412, 342, 11208, 262, 610, 1412, 4752, 1359, 9538, 15439, 2322, 267, 962, 1690, 3534, 568, 513, 10723, 16008, 5473, 17008, 1500, 547, 3595, 24587, 1107, 3397, 14269, 1107, 607, 606, 957, 540, 10847, 269, 901, 9161, 814, 1044, 13736, 2094, 966, 14037, 2053, 267, 936, 1614, 8536, 1296, 3516, 256, 5994, 1373, 851, 540, 971, 606, 2025, 2245, 1869, 9800, 2221 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15700, 519, 6534, 11746, 3330, 563, 265, 7358, 622, 519, 5925, 676, 7432, 5679, 10849, 610, 10296, 16181, 547, 4188, 4320, 543, 6728, 5542, 563, 265, 4045, 681, 7563, 15791, 18172, 547, 741, 7222, 16788, 593, 1312, 3457, 780, 1262, 3721, 476, 274, 281, 17553, 5455, 519, 966, 10135, 4373, 3086, 267, 24559, 3054, 609, 519, 966, 10135, 781, 8060, 1384, 265, 2878, 20175, 29502, 4995, 4964, 532, 713, 7735, 7140, 519, 966, 10135, 593, 610, 1055, 269, 1411, 1522, 5873, 513, 9543, 1208, 950, 621, 781, 15181, 563, 265, 2878, 300, 1712, 22732, 4995, 4469, 760, 713, 6467, 547, 2824, 1063, 1404, 3724, 267, 2594, 267, 610, 824, 12331, 269, 1280, 1631, 267, 1305, 621, 547, 834, 13434, 867, 4799, 265, 2878, 2419, 14128, 8564, 832, 4995, 2422, 891, 16181, 547, 6330, 998, 7641, 9055, 610, 3403, 2959, 269, 4595, 649, 2811, 2519, 593, 5925, 19827, 267, 11716, 891, 585, 1631, 563, 265, 2878, 24127, 6513, 338, 4995, 17797, 519, 4320, 1377, 1210, 891, 16181, 610, 3866, 338, 780, 12648, 4063, 540, 519, 966, 10135, 781, 4159, 5496, 267, 799, 786, 1397, 1271, 1344, 1282, 10916, 780, 1262, 3721, 476, 275, 281, 27759, 519, 15571, 4373, 7476, 6899, 5665, 519, 5925, 1384, 265, 2878, 307, 12941, 12928, 984, 4995, 15585, 622, 713, 5679, 984, 29628, 610, 4831, 22018, 3772, 547, 1689, 10473, 269, 19415, 585, 11979, 610, 9739, 547, 5815, 5365, 4222, 563, 265, 2878, 24127, 6513, 4995, 12414, 909, 610, 1524, 547, 4188, 519, 10978, 1145, 563, 265, 2878, 1805, 566, 3465, 1115, 4995, 2368, 2234, 3930, 1450, 9494, 5172, 10473, 1210, 1095, 564, 16181, 269, 22695, 648, 891, 585, 1631, 780, 8340, 513, 2312, 267, 2178, 5365, 585, 519, 5551, 5925, 2911, 1397, 269, 6875, 707, 942, 14577, 519, 25122, 5679, 984, 2394, 596, 4309, 1434, 21200, 780, 1262, 3721, 476, 276, 281, 4045, 532, 519, 20905, 4373, 29791, 519, 5925, 547, 519, 966, 10135, 1210, 681, 7563, 15791, 1384, 265, 700, 11229, 519, 681, 7563, 3977, 795, 2931, 593, 519, 1394, 540, 519, 5925, 267, 2356, 6825, 834, 29423, 1470, 4934, 257, 610, 2147, 10297, 563, 265, 10576, 519, 7222, 681, 7563, 3403, 795, 2931, 593, 519, 966, 10135, 267, 3335, 13042, 834, 18118, 769, 257, 610, 834, 288, 5060, 769, 8487, 265, 23453, 519, 681, 7563, 10814, 7475, 883, 741, 9757, 16788, 267, 4180, 5150, 4296, 780, 1607, 4276, 2636, 519, 966, 10135, 547, 7001, 8301, 6786, 689, 519, 5925, 780, 1262, 3721, 476, 277, 281, 23453, 532, 519, 18706, 8291, 570, 1901, 4373, 20278, 519, 22101, 8291, 11746, 883, 519, 966, 10135, 1384, 265, 7046, 519, 966, 10135, 781, 22101, 8291, 26654, 7450, 676, 11319, 610, 23510, 621, 1930, 563, 265, 28528, 7696, 519, 11746, 267, 26936, 922, 29601, 609, 519, 966, 10135, 781, 10274, 563, 265, 19171, 519, 26654, 7450, 547, 4497, 519, 11746, 780, 763, 966, 10135, 786, 8850, 3713, 519, 11746, 1826, 543, 3259, 780, 1262, 3721, 476, 278, 281, 18786, 519, 5589, 1800, 4373, 24375, 13830, 519, 5925, 2911, 1397, 1384, 265, 3550, 519, 7154, 6467, 568, 1869, 1305, 547, 834, 13434, 867, 8487, 265, 4964, 519, 834, 25440, 257, 7735, 593, 519, 966, 10135, 1247, 8195, 10296, 519, 834, 13434, 867, 257, 7735, 269, 1411, 949, 1294, 8279, 1166, 4770, 610, 5873, 581, 10134, 30260, 10916, 4567, 563, 265, 6744, 519, 966, 10135, 781, 4159, 5496, 585, 22245, 27669, 267, 10834, 1714, 17863, 10916, 942, 780, 9824, 1314, 543, 2972, 519, 6592, 5925, 2911, 1397, 2439, 1262, 19522, 1299, 24410, 7632, 327, 17415, 4373, 5278, 5363, 23456, 543, 1455, 2152, 547, 4585, 856, 585, 1384, 265, 2878, 13434, 1800, 5384, 4995, 5901, 3950, 540, 519, 10916, 8653, 547, 2057, 4881, 856, 540, 11746, 2230, 563, 265, 2878, 14294, 531, 23848, 4995, 18554, 519, 5925, 5365, 2298, 547, 2327, 6099, 10916, 2175, 563, 265, 2878, 290, 762, 12983, 4995, 7638, 1518, 1697, 681, 7563, 10814, 4296, 547, 2061, 8301, 6749, 8083, 610, 23673, 563, 265, 2878, 307, 1901, 30047, 4995, 15188, 22101, 8291, 7148, 525, 2476, 689, 1463, 7943, 267, 7509, 267, 543, 3665, 5210, 547, 2226, 1239, 8699, 780, 23558, 267, 3659, 256, 1411, 4312, 6707, 1031, 513, 966, 10135, 547, 2594, 6905, 5925, 2911, 2982, 269, 18461, 1863, 547, 4603, 609, 1114, 5468, 543, 2934, 547, 3986, 707, 1995, 269, 8080, 547, 519, 8748, 1158, 540, 12746, 2029, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 8196, 513, 966, 10135, 585, 27326, 5589, 1800, 540, 15571, 13185, 31698, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 17138, 281, 1215, 547, 3367, 9093, 781, 10610, 5678, 585, 4469, 597, 1154, 692, 7072, 912, 8139, 1560, 1893, 568, 606, 1898, 5578, 950, 3843, 547, 21264, 952, 2576, 568, 5461, 538, 596, 6535, 656, 1227, 269, 901, 3391, 786, 1445, 4481, 593, 2542, 2367, 781, 1560, 1893, 607, 789, 1166, 7398, 269, 1635, 11287, 741, 17267, 267, 11132, 7215, 267, 14302, 267, 543, 5322, 267, 596, 666, 2744, 5813, 883, 2436, 646, 781, 13631, 547, 596, 610, 1175, 1373, 7874, 269, 5457, 602, 1169, 1268, 568, 2189, 267, 865, 891, 4191, 949, 4268, 689, 1367, 547, 1367, 269, 1717, 267, 713, 2376, 2488, 930, 1455, 10832, 4767, 538, 1082, 2367, 1247, 1166, 597, 1154, 780, 3721, 476, 272, 281, 27297, 3571, 16685, 13555, 454, 15008, 281, 2290, 540, 519, 1034, 1713, 3344, 540, 1560, 1893, 1282, 1166, 7398, 520, 1190, 13341, 3322, 3750, 3346, 269, 589, 812, 945, 4749, 2306, 2178, 3750, 3346, 609, 596, 1522, 581, 6029, 11509, 1719, 269, 1261, 949, 3180, 707, 22401, 3476, 982, 8912, 267, 1413, 2476, 13713, 1354, 5870, 707, 4064, 1586, 267, 610, 6318, 1010, 32071, 4900, 4090, 3320, 2390, 7487, 596, 269, 1452, 3527, 5815, 18906, 4369, 543, 7279, 2509, 596, 780, 7659, 9669, 1299, 13832, 912, 268, 5213, 1405, 12161, 17573, 1350, 1734, 607, 2312, 4191, 540, 16007, 2094, 1004, 1419, 16145, 1472, 873, 796, 4621, 19290, 269, 5502, 267, 2628, 3007, 547, 5812, 543, 12675, 3750, 3346, 563, 268, 2142, 13533, 602, 2686, 3604, 543, 1514, 8155, 1223, 3310, 875, 1454, 3750, 3346, 568, 2808, 3617, 269, 11408, 2015, 519, 2796, 538, 799, 519, 5872, 3217, 1747, 780, 3721, 476, 273, 281, 21302, 3571, 3911, 4979, 18963, 454, 15008, 281, 1879, 513, 812, 1159, 3796, 22992, 693, 596, 267, 2523, 950, 596, 3717, 610, 2671, 1945, 827, 3054, 267, 621, 6920, 2318, 4606, 2509, 596, 269, 589, 9758, 12837, 10301, 519, 4064, 543, 5932, 32060, 2282, 519, 9018, 15174, 630, 322, 992, 781, 3952, 1040, 3958, 267, 4585, 856, 585, 1159, 597, 6362, 610, 1989, 15619, 1107, 32436, 8942, 547, 12404, 741, 31768, 610, 10761, 1472, 596, 780, 7659, 9669, 1299, 13832, 912, 268, 31692, 880, 1063, 1483, 543, 16995, 1159, 3796, 676, 3168, 585, 8076, 10291, 899, 7715, 781, 3952, 543, 6659, 1750, 4060, 563, 268, 5901, 538, 2247, 602, 9644, 4249, 513, 1909, 538, 2870, 4296, 282, 4061, 267, 3838, 17409, 3085, 1405, 2141, 1226, 622, 547, 11509, 1719, 855, 666, 4196, 607, 513, 5748, 585, 2679, 29037, 780, 3721, 476, 274, 281, 18564, 3571, 5403, 675, 543, 8447, 1160, 343, 14383, 454, 15008, 281, 589, 812, 945, 682, 753, 5594, 4724, 596, 1282, 7391, 9727, 3742, 6947, 543, 6278, 269, 5015, 267, 952, 646, 15387, 1930, 1560, 1893, 1107, 4608, 1484, 539, 7916, 267, 17159, 17525, 1107, 621, 5267, 4313, 543, 7789, 2032, 269, 9796, 3007, 547, 1022, 8320, 1141, 646, 19141, 707, 17267, 610, 7575, 6251, 547, 596, 267, 10834, 15222, 1436, 543, 1761, 7998, 780, 7659, 9669, 1299, 13832, 912, 268, 21727, 2123, 2230, 6302, 543, 2057, 32415, 873, 17543, 610, 16662, 1549, 958, 269, 14190, 1864, 547, 20006, 11029, 804, 4923, 612, 563, 268, 25506, 602, 2825, 2188, 267, 971, 607, 27939, 12417, 610, 15624, 2450, 267, 666, 1764, 14302, 543, 16133, 269, 10312, 593, 5812, 3270, 2864, 982, 9678, 13685, 780, 3721, 476, 275, 281, 19873, 29110, 4221, 10263, 454, 15008, 281, 8752, 267, 13680, 18953, 593, 519, 6186, 267, 13105, 267, 610, 1394, 666, 24901, 3395, 25055, 269, 1403, 513, 812, 1404, 2685, 512, 2355, 707, 1688, 1247, 28617, 610, 9900, 26814, 4552, 1055, 707, 3068, 267, 891, 616, 2356, 1434, 4191, 540, 15754, 269, 1717, 267, 2327, 602, 519, 5905, 568, 3617, 543, 20888, 676, 1312, 6105, 780, 7659, 9669, 1299, 13832, 912, 268, 3117, 550, 568, 2629, 950, 16208, 15700, 2623, 269, 8550, 8263, 10479, 1759, 9003, 593, 1560, 1893, 6786, 563, 268, 6333, 2686, 7648, 3823, 2168, 3346, 8155, 269, 2368, 2043, 610, 2950, 1522, 13498, 1978, 2010, 540, 5905, 8335, 780, 3721, 476, 276, 281, 13772, 4934, 585, 674, 573, 1326, 532, 610, 8682, 8566, 3336, 532, 30123, 999, 454, 15008, 281, 16842, 535, 573, 1326, 532, 267, 14577, 7802, 267, 4881, 11263, 998, 4552, 267, 610, 824, 1582, 3766, 3336, 532, 5615, 949, 2303, 8401, 1145, 610, 10761, 269, 2755, 891, 3527, 1810, 1405, 8209, 6166, 11509, 1719, 267, 789, 798, 17538, 513, 15398, 4656, 540, 835, 781, 5920, 543, 1629, 6756, 528, 1472, 596, 780, 7659, 9669, 1299, 13832, 912, 268, 13760, 602, 4160, 610, 9636, 1522, 2014, 2147, 5615, 267, 1818, 7664, 4101, 269, 6733, 585, 3606, 10881, 7258, 535, 573, 1326, 532, 547, 1106, 513, 1134, 25454, 4879, 563, 268, 3680, 17259, 547, 8753, 1759, 9003, 593, 5634, 535, 573, 1326, 532, 610, 25462, 6208, 267, 607, 5007, 2188, 899, 2566, 610, 9854, 1223, 849, 3565, 547, 971, 2932, 780, 6962, 912, 11328, 31147, 2367, 781, 1560, 1893, 585, 1166, 597, 1154, 3340, 6297, 8343, 267, 9639, 267, 543, 1620, 540, 1585, 13857, 10291, 269, 1306, 596, 2259, 9301, 891, 4191, 267, 3314, 602, 2792, 3788, 4105, 538, 5587, 4328, 15752, 543, 5807, 6209, 3347, 269, 11086, 267, 3972, 707, 26756, 1247, 6236, 519, 6626, 2796, 1369, 799, 4205, 2049, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 5649, 9093, 781, 10610, 5678, 585, 4469, 597, 1154, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 7170, 281, 1215, 547, 15232, 519, 26943, 2435, 5548, 2074, 540, 13244, 22526, 6019, 267, 4993, 692, 3721, 476, 272, 281, 3194, 13244, 22526, 6019, 28690, 454, 6524, 25054, 593, 707, 11477, 3460, 998, 13244, 22526, 6019, 267, 1491, 930, 942, 547, 1382, 519, 2199, 1426, 2528, 269, 901, 3148, 568, 1634, 585, 922, 4195, 16872, 267, 12725, 6738, 3132, 267, 543, 5140, 9174, 6429, 269, 6733, 883, 2442, 8286, 543, 5820, 5065, 547, 713, 1858, 865, 596, 666, 1732, 5660, 1018, 2306, 13244, 22526, 6019, 11951, 2189, 780, 3721, 476, 273, 281, 4643, 513, 16731, 547, 513, 10871, 10787, 1067, 781, 10369, 454, 306, 9017, 22526, 6019, 814, 3875, 16027, 781, 6990, 2429, 519, 3018, 1141, 596, 666, 1265, 4195, 5613, 267, 5388, 267, 11922, 267, 5810, 267, 543, 824, 6237, 2472, 269, 1635, 9683, 835, 540, 891, 6990, 267, 596, 786, 1489, 2199, 6705, 1247, 11543, 1569, 547, 519, 23906, 4554, 5820, 2009, 269, 2422, 891, 2344, 9060, 607, 6667, 585, 6980, 1282, 707, 3251, 610, 6718, 3688, 547, 3142, 1394, 1753, 609, 596, 780, 3721, 476, 274, 281, 10812, 10871, 12736, 7685, 454, 763, 13244, 962, 928, 345, 9503, 267, 4092, 538, 13244, 22526, 6019, 267, 19646, 811, 982, 476, 4037, 3094, 7685, 543, 512, 8463, 11623, 269, 1975, 754, 513, 1554, 521, 6235, 593, 8366, 20421, 932, 30972, 333, 904, 267, 18237, 582, 3143, 15077, 267, 5204, 19207, 338, 267, 543, 16410, 1716, 564, 28397, 341, 793, 976, 1247, 2921, 538, 28677, 11903, 12881, 5784, 269, 3509, 3094, 7685, 2709, 19150, 543, 3872, 2833, 267, 3246, 5813, 883, 741, 3857, 22450, 2853, 543, 2553, 780, 3721, 476, 275, 281, 667, 710, 4934, 693, 31777, 1218, 7981, 1944, 538, 10871, 23123, 454, 2414, 4628, 1995, 519, 10366, 540, 13244, 22526, 6019, 267, 1118, 31681, 693, 14060, 8149, 547, 1210, 12119, 267, 12725, 21433, 5820, 269, 2368, 8037, 24284, 1331, 634 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6388, 540, 519, 18289, 16514, 13870, 8943, 267, 824, 2477, 616, 1869, 21679, 609, 2147, 2152, 269, 1635, 4687, 2984, 899, 23600, 267, 5310, 649, 666, 3565, 2509, 5807, 5188, 1472, 891, 3584, 543, 12167, 585, 2318, 1689, 269, 2991, 782, 267, 1169, 4062, 540, 2923, 11438, 519, 1761, 547, 8300, 267, 4161, 267, 543, 1921, 2043, 2066, 4529, 1107, 1577, 781, 2327, 1346, 3255, 5749, 1405, 588, 604, 1194, 16349, 569, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 723, 24890, 4031, 543, 6042, 4299, 519, 4670, 2872, 2429, 1686, 888, 290, 839, 11208, 4031, 543, 6042, 723, 1185, 513, 1713, 1764, 593, 519, 4670, 2872, 2429, 1686, 269, 769, 2038, 476, 736, 628, 2540, 267, 519, 18289, 16514, 13870, 8943, 729, 3964, 538, 519, 2136, 2276, 267, 799, 19275, 519, 24575, 540, 8763, 14920, 267, 1527, 534, 640, 267, 543, 1978, 1514, 2152, 899, 954, 24055, 3347, 610, 4638, 10066, 269, 9603, 547, 713, 3009, 267, 32349, 1185, 547, 16783, 609, 7453, 4808, 267, 799, 7494, 3908, 519, 5876, 540, 19971, 543, 5830, 269, 4935, 267, 519, 8874, 602, 941, 5950, 941, 1419, 24846, 1242, 8747, 540, 1483, 3734, 2984, 267, 5929, 3332, 267, 610, 4249, 780, 7628, 519, 476, 3422, 271, 338, 543, 476, 3192, 271, 338, 267, 519, 24890, 4031, 2968, 811, 561, 1314, 267, 3850, 32349, 547, 2263, 6213, 2152, 971, 607, 519, 10476, 2782, 267, 3075, 946, 267, 543, 14920, 609, 513, 811, 10853, 1935, 269, 1717, 267, 930, 2477, 1869, 24451, 7453, 24890, 4031, 269, 1280, 1383, 267, 3127, 8045, 513, 24890, 4604, 1572, 519, 9919, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1158, 540, 17626, 2792, 10873, 1369, 519, 2796, 540, 11251, 2780, 1949, 269, 13018, 267, 649, 786, 2263, 519, 17629, 1306, 2106, 28942, 25547, 1853, 3690, 2466, 614, 630, 308, 11286, 264, 7014, 267, 799, 568, 4922, 1031, 538, 971, 1949, 1813, 547, 922, 16134, 543, 17545, 269, 1284, 786, 849, 1865, 875, 772, 11286, 13352, 883, 519, 6626, 5251, 540, 2413, 7384, 543, 10618, 4066, 780, 4263, 922, 4295, 267, 772, 11286, 568, 513, 8800, 5057, 602, 6087, 1239, 6771, 1063, 3457, 3842, 513, 2582, 1899, 585, 23142, 543, 8391, 1239, 1583, 6053, 269, 901, 1935, 24716, 609, 6252, 2792, 267, 1141, 2789, 3515, 616, 1031, 8195, 547, 10141, 1239, 11353, 269, 634, 3119, 5413, 540, 17626, 2792, 6013, 538, 922, 2702, 547, 2569, 11443, 6988, 1247, 4509, 10257, 1239, 4483, 3928, 780, 2414, 1174, 875, 772, 11286, 1568, 267, 1577, 781, 1101, 4983, 930, 4909, 2035, 5817, 3059, 10618, 281, 11353, 267, 25466, 267, 536, 7596, 2557, 267, 3247, 11353, 267, 26027, 267, 543, 2095, 1852, 269, 1452, 2474, 4766, 1585, 3344, 540, 519, 1184, 3238, 538, 14291, 6151, 9352, 1344, 883, 513, 3898, 5078, 585, 6771, 2066, 2168, 2923, 899, 5122, 15791, 610, 9804, 11103, 269, 1635, 13215, 891, 13654, 2609, 267, 596, 786, 581, 1732, 5423, 547, 9787, 519, 14960, 540, 772, 11286, 543, 824, 17626, 2792, 10873, 780, 1262, 289, 1080, 4995, 589, 3787, 4564, 519, 10545, 1770, 540, 3059, 1344, 267, 2921, 2901, 513, 1871, 540, 476, 271, 610, 476, 272, 269, 645, 1080, 666, 581, 5916, 547, 2099, 3677, 2418, 282, 585, 1383, 267, 5216, 15654, 11353, 1118, 909, 513, 31632, 12544, 1455, 2268, 585, 8204, 3197, 538, 7384, 3156, 780, 1262, 289, 7596, 15580, 4995, 2725, 25979, 538, 4559, 1572, 536, 7596, 267, 519, 536, 7596, 2557, 4016, 547, 519, 1297, 540, 3090, 2242, 829, 2034, 10299, 936, 513, 2792, 8756, 269, 3962, 3090, 949, 2874, 540, 1896, 11353, 4470, 2390, 25244, 2553, 6964, 269, 1280, 3236, 267, 693, 476, 31634, 271, 536, 7596, 267, 476, 31634, 271, 6698, 616, 22121, 1169, 2034, 269, 1717, 267, 952, 1142, 3090, 5161, 540, 476, 279, 11353, 267, 1287, 3927, 267, 476, 10602, 269, 279, 4893, 984, 1080, 829, 2034, 630, 330, 321, 1186, 264, 1131, 581, 11843, 896, 4998, 2175, 780, 1262, 1805, 641, 645, 1080, 4995, 1677, 15222, 1125, 19670, 1239, 12535, 543, 10646, 873, 689, 7329, 548, 2829, 267, 3606, 11353, 1634, 607, 3247, 11353, 616, 813, 2105, 1310, 1142, 1915, 7406, 1282, 6771, 269, 15380, 1305, 547, 476, 272, 610, 476, 273, 3063, 11353, 1739, 519, 2063, 4890, 1239, 3787, 4433, 1070, 789, 5365, 519, 1439, 540, 513, 1915, 1895, 543, 5512, 519, 17513, 547, 759, 2106, 11388, 1125, 3294, 609, 519, 30699, 8308, 780, 1262, 303, 10846, 4995, 3474, 640, 568, 513, 2241, 5470, 7020, 7271, 5473, 4946, 606, 3063, 3787, 547, 1142, 10299, 31632, 1759, 593, 2436, 519, 2040, 540, 782, 18631, 1239, 11353, 568, 1256, 610, 9642, 269, 2311, 519, 8391, 1439, 267, 519, 17223, 26027, 3787, 568, 3379, 1996, 519, 4607, 835, 547, 2697, 1761, 6959, 5189, 1282, 6771, 269, 2755, 621, 2488, 8766, 4027, 1996, 1239, 13313, 267, 26027, 3788, 4143, 950, 7231, 609, 9371, 1949, 882, 5050, 593, 2596, 28863, 780, 1262, 23044, 6513, 4995, 10046, 1852, 5849, 6325, 1239, 4483, 1510, 11566, 519, 4390, 540, 2256, 1392, 269, 5565, 2442, 2409, 2291, 281, 8800, 3946, 327, 1136, 543, 3301, 3946, 327, 1136, 269, 10434, 2264, 3946, 327, 1136, 3096, 6131, 6786, 547, 10038, 6808, 1063, 30699, 543, 17513, 267, 6466, 3301, 3946, 327, 1136, 18271, 1808, 9479, 11251, 1369, 519, 1239, 6908, 3294, 269, 5637, 4485, 2832, 547, 2061, 17280, 24492, 3871, 602, 1223, 1291, 547, 4503, 610, 18348, 539, 1239, 21168, 780, 3086, 602, 649, 723, 3964, 1898, 16166, 1577, 721, 2490, 938, 3007, 2509, 519, 4052, 6388, 540, 891, 3741, 998, 519, 17629, 1306, 2106, 28942, 25547, 1853, 3690, 2466, 614, 630, 308, 11286, 1040, 1306, 5018, 4505, 267, 772, 11286, 5713, 607, 513, 1883, 5745, 2401, 585, 17626, 2792, 538, 3875, 11251, 1949, 267, 5356, 5383, 971, 607, 1970, 1942, 267, 8897, 540, 12122, 267, 543, 17356, 609, 3309, 17103, 899, 19954, 268, 22446, 267, 18292, 267, 543, 29402, 269, 5047, 267, 2016, 922, 24819, 4527, 538, 29668, 619, 267, 8596, 267, 27103, 2209, 267, 543, 1646, 12545, 267, 1620, 772, 11286, 3587, 16832, 585, 4896, 5887, 1005, 883, 519, 7706, 540, 14164, 543, 6880, 14428, 9713, 1949, 1374, 780, 1103, 9759, 267, 772, 11286, 3252, 607, 606, 8818, 1063, 513, 3984, 16267, 543, 5007, 13020, 1023, 267, 5883, 741, 5872, 3842, 607, 2106, 28942, 17626, 2792, 269, 898, 6104, 8460, 713, 4305, 676, 12270, 519, 2949, 1184, 883, 1079, 1292, 5933, 281, 25194, 543, 17683, 269, 13368, 532, 3322, 12180, 1367, 3197, 883, 14604, 9967, 540, 1376, 267, 1239, 267, 543, 18593, 3247, 11353, 267, 4553, 676, 17683, 1107, 11837, 891, 14604, 5196, 5951, 13257, 5078, 585, 21986, 531, 2059, 2168, 9055, 269, 5463, 5317, 543, 10868, 540, 3312, 3197, 1246, 2147, 3268, 693, 519, 18579, 2427, 780, 3519, 14808, 13701, 13054, 1776, 2565, 2460, 540, 772, 11286, 10342, 269, 20305, 666, 4188, 6724, 899, 536, 7596, 2557, 267, 1239, 3259, 630, 15893, 540, 11353, 829, 1915, 1070, 26027, 5468, 267, 543, 3247, 3787, 1293, 2687, 547, 3498, 4170, 543, 3044, 14908, 269, 6270, 8112, 2636, 15774, 5610, 1851, 19635, 3334, 5665, 896, 1114, 10148, 2943, 14379, 7561, 1369, 19618, 25121, 780, 2026, 513, 15266, 547, 922, 2956, 543, 15325, 267, 772, 11286, 5170, 9687, 7258, 7760, 538, 2029, 269, 7073, 30582, 1419, 6451, 2934, 899, 13128, 536, 7596, 2557, 7020, 267, 10889, 1229, 3403, 270, 16059, 4238, 267, 543, 1489, 585, 4359, 5470, 15494, 14565, 3564, 25229, 21747, 26027, 11974, 269, 9182, 267, 30015, 3054, 609, 513, 4396, 5748, 538, 772, 11286, 17950, 28382, 596, 1134, 585, 10188, 10848, 2404, 609, 4207, 11251, 1949, 4702, 780, 7661, 267, 621, 568, 4502, 15663, 4296, 1063, 772, 11286, 543, 6932, 3466, 5935, 2221, 781, 12985, 8916, 269, 2060, 18735, 540, 6531, 2861, 2533, 267, 6316, 7384, 26336, 11168, 7856, 4393, 3631, 13296, 10995, 9136, 29050, 1685, 4247, 12926, 11603, 585, 21438, 13763, 269, 9717, 922, 16134, 543, 4398, 267, 772, 11286, 4249, 11358, 5107, 8220, 5100, 3457, 3262, 2429, 5318, 10923, 20073, 525, 267, 4180, 5150, 543, 7347, 5385, 540, 5692, 2275, 15560, 1344, 896, 4101, 2825, 2175, 269, 5015, 267, 1382, 7341, 6322, 693, 5355, 12616, 9300, 5121, 543, 28707, 11418, 4749, 15407, 772, 11286, 10276, 12574, 13838, 19962, 547, 741, 11741, 1145, 267, 1379, 4398, 267, 543, 13916, 2066, 16221, 7653, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8368, 540, 12937, 454, 19686, 585, 8851, 540, 24211, 23813, 689, 1216, 454, 28319, 823, 543, 1505, 585, 519, 8851, 540, 3282, 610, 13735, 2326, 689, 513, 1216, 2627, 454, 18850, 9084, 543, 4015, 2212, 619, 585, 513, 6882, 5127, 454, 19686, 543, 17102, 585, 1202, 1005, 2347, 10916, 540, 513, 8613, 1982, 454, 11947, 6453, 1826, 3239, 4159, 17102, 454, 19547, 1254, 17689, 9280, 609, 1769, 15041, 9231, 26534, 454, 1320, 514, 4670, 6419, 3965, 3926, 10647, 1224, 5106, 676, 513, 1582, 3146, 12401, 1505, 454, 306, 1122, 7757, 4496, 3787, 6050, 454, 290, 340, 4670, 18254, 3937, 540, 19202, 3926, 454, 16978, 549, 1372, 585, 22507, 762, 16864, 6007, 267, 1505, 540, 8600, 1482, 543, 22507, 762, 16864, 4402, 2483, 288, 14058, 565, 11718, 585, 3075, 19862, 543, 2409, 540, 10451, 27829, 454, 19686, 267, 1062, 267, 543, 1982, 585, 17034, 9343, 538, 835, 610, 811, 7515, 17598, 513, 3406, 7355, 454, 299, 822, 2658, 2030, 3957, 2387, 21574, 28535, 31947, 319, 454, 28406, 633, 2212, 613, 541, 585, 3043, 4248, 946, 454, 30791, 12966, 521, 7163, 543, 2409, 540, 1210, 5276, 12966, 521, 7163, 454, 18893, 673, 6467, 1062, 454, 289, 3930, 16428, 17102, 543, 1505, 609, 7663, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 2506, 5523, 4765, 8950, 7010, 1315, 5395, 658, 9442, 16257, 338, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16398, 563, 2171, 616, 5143, 1498, 281, 968, 515, 11542, 1010, 16140, 267, 543, 10692, 609, 1390, 674, 1722, 267, 11489, 646, 4607, 2947, 543, 8938, 654, 2432, 267, 543, 2947, 540, 873, 676, 1744, 582, 10756, 1432, 1705, 623, 29521, 1289, 1142, 824, 888, 25105, 1195, 269, 13259, 1195, 568, 519, 1034, 11684, 19266, 622, 2262, 1031, 538, 9413, 543, 2835, 269, 590, 841, 832, 946, 621, 547, 1289, 547, 824, 9635, 267, 26250, 1142, 824, 267, 24633, 540, 8594, 267, 610, 2161, 1434, 25742, 269, 634, 6732, 661, 22029, 9218, 3081, 602, 621, 4440, 3357, 689, 968, 320, 554, 1195, 892, 513, 562, 27658, 2165, 1644, 547, 688, 30389, 563, 1692, 798, 31503, 2161, 1750, 619, 888, 312, 334, 14208, 14208, 284, 2467, 568, 1419, 1031, 547, 2769, 930, 4990, 540, 17869, 855, 849, 666, 581, 1031, 547, 1289, 3007, 547, 519, 10584, 563, 1432, 1131, 596, 1289, 513, 4775, 19266, 622, 888, 2005, 779, 2352, 547, 917, 1018, 4775, 31503, 941, 1572, 269, 3509, 24320, 2213, 2933, 607, 2367, 547, 581, 2111, 547, 3514, 883, 19266, 622, 1212, 9749, 32373, 539, 269, 21058, 31503, 941, 513, 12102, 1107, 543, 1930, 5944, 4775, 31503, 1107, 1256, 4686, 337, 269, 769, 2221, 779, 2442, 2528, 596, 666, 1265, 8100, 547, 8004, 31503, 267, 2021, 31503, 267, 1352, 1790, 29521, 543, 865, 593, 563, 1692, 798, 596, 2161, 32597, 538, 19266, 622, 888, 25105, 1195, 1107, 589, 19266, 622, 28551, 267, 610, 513, 22551, 547, 4482, 606, 3007, 269, 23985, 899, 968, 15916, 17373, 610, 968, 312, 334, 256, 9731, 1432, 568, 513, 1085, 958, 342, 698, 19266, 622, 888, 288, 1085, 958, 342, 698, 630, 528, 9470, 1177, 698, 264, 568, 606, 29405, 585, 1022, 19266, 622, 16363, 513, 968, 337, 26696, 1848, 306, 517, 540, 513, 536, 4593, 3726, 3887, 831, 568, 968, 320, 5067, 540, 1151, 3187, 610, 13743, 528, 2223, 609, 602, 536, 4593, 3726, 3887, 831, 3280, 532, 606, 1659, 995, 2603, 899, 621, 779, 13868, 513, 1071, 32242, 2262, 563, 1432, 616, 930, 19266, 622, 2161, 902, 888, 303, 597, 622, 1912, 29320, 281, 6781, 9646, 26676, 281, 1323, 1931, 547, 4734, 519, 6077, 5612, 267, 2356, 538, 519, 3068, 540, 930, 31873, 8594, 6993, 327, 1195, 281, 28982, 6993, 341, 770, 14717, 281, 589, 4971, 2495, 2628, 3007, 610, 6432, 6993, 6614, 267, 589, 6614, 281, 8786, 267, 594, 1174, 11065, 520, 1084, 13560, 519, 24051, 2583, 281, 1879, 3388, 593, 513, 6928, 568, 13615, 1524, 547, 5965, 585, 606, 16042, 7088, 21457, 3688, 2507, 1892, 20225, 476, 1240, 267, 476, 1001, 278, 454, 8005, 729, 519, 1101, 8004, 19266, 622, 888, 305, 659, 3559, 9931, 305, 659, 3559, 9931, 269, 24981, 9931, 630, 333, 19902, 5576, 28704, 264, 568, 2219, 547, 581, 519, 1101, 1977, 4775, 19266, 622, 267, 4535, 538, 12425, 538, 476, 12293, 271, 269, 1879, 1352, 729, 28465, 1352, 9310, 6723, 9931, 267, 543, 519, 6292, 4166, 6410, 547, 11785, 1141, 24981, 5249, 607, 513, 30823, 543, 6723, 607, 513, 13278, 2006, 563, 1432, 1893, 1705, 31503, 3717, 888, 7197, 31503, 12090, 689, 6628, 267, 865, 1034, 31503, 12038, 2296, 269, 634, 1866, 12038, 6140, 3943, 610, 5053, 269, 594, 4952, 972, 949, 723, 849, 1044, 21730, 610, 13677, 10529, 607, 1134, 563, 1432, 1705, 513, 19266, 622, 1413, 899, 888, 288, 6093, 623, 597, 622, 18279, 1522, 2203, 23222, 2583, 543, 513, 22765, 1723, 520, 540, 2620, 6309, 5459, 2681, 267, 3358, 689, 6063, 23439, 269, 634, 4583, 2468, 2275, 1941, 1229, 11058, 21959, 1639, 609, 519, 13692, 540, 930, 16678, 6177, 1558, 593, 513, 30152, 2951, 563, 3963, 798, 31503, 2161, 27336, 337, 888, 303, 1258, 6407, 849, 607, 968, 312, 1551, 337, 17373, 543, 968, 26855, 256, 5608, 519, 2262, 968, 6635, 31014, 17373, 568, 12926, 1767, 676, 31503, 950, 14775, 968, 13433, 892, 610, 950, 11589, 10761, 269, 2560, 3509, 540, 519, 2453, 602, 1034, 1004, 1589, 540, 607, 19266, 622, 4633, 2221, 666, 2965, 581, 14360, 1394, 547, 28402, 540, 31503, 538, 9413, 563, 3963, 798, 31503, 2161, 1744, 1853, 803, 4626, 1499, 888, 2108, 4537, 1853, 803, 4626, 1499, 892, 630, 528, 968, 3333, 1853, 1250, 4626, 1499, 892, 538, 9208, 2296, 264, 568, 606, 608, 17474, 538, 519, 1106, 540, 513, 23769, 522, 987, 2356, 11911, 547, 519, 4633, 540, 31503, 538, 1568, 540, 5708, 269, 2560, 6270, 606, 608, 17474, 729, 5921, 547, 6655, 513, 4743, 540, 4250, 543, 25713, 267, 2147, 547, 267, 968, 11039, 267, 9514, 803, 1524, 256, 5608, 610, 267, 968, 9802, 2696, 10880, 803, 9800, 543, 1134, 9731, 1432, 568, 623, 597, 622, 2296, 888, 2005, 779, 811, 513, 24983, 982, 513, 1893, 269, 898, 30283, 3044, 2296, 10525, 609, 6266, 540, 1455, 19266, 622, 7215, 543, 12332, 269, 623, 597, 622, 3717, 568, 811, 14070, 982, 10853, 267, 543, 568, 835, 540, 519, 1455, 804, 545, 1127, 596, 3580, 1265, 1851, 1022, 2186, 540, 19266, 622, 1826, 7260, 610, 1433, 563, 1432, 568, 513, 23071, 779, 7385, 1572, 888, 9827, 1634, 607, 519, 4487, 269, 2560, 6736, 2025, 22530, 1431, 602, 2348, 513, 4807, 593, 4604, 729, 3983, 9939, 267, 1082, 9378, 523, 17329, 2348, 519, 23071, 779, 7385, 20829, 282, 3006, 621, 5921, 602, 519, 9378, 523, 1131, 581, 1732, 5701, 269, 0, 1607, 2376, 5941, 519, 960, 540, 519, 589, 6369, 9796, 24054, 9730, 799, 729, 2813, 538, 476, 2735, 275, 607, 513, 10151, 1560, 543, 1287, 1500, 8628, 538, 476, 2735, 280, 269, 634, 2376, 11855, 2665, 538, 2829, 1141, 2628, 9698, 2152, 538, 8021, 1185, 1044, 13934, 543, 13180, 729, 2799, 269, 634, 4589, 11130, 602, 11018, 1239, 547, 13889, 2628, 6528, 640, 729, 942, 10438, 267, 855, 2899, 519, 1239, 1185, 1044, 6394, 2665, 941, 1454, 811, 3362, 11130, 543, 4465, 269, 634, 2376, 13615, 519, 3390, 540, 2539, 23269, 585, 2021, 547, 519, 4775, 28735, 540, 7172, 12579, 1222, 281, 834, 2026, 519, 6871, 540, 2021, 538, 519, 2361, 814, 2799, 267, 519, 23269, 723, 711, 1701, 634, 4589, 1256, 3989, 2628, 9698, 607, 834, 320, 3609, 602, 11394, 547, 9004, 3023, 543, 5198, 9186, 689, 519, 13230, 4259, 1184, 1701, 2755, 711, 4481, 4304, 519, 12339, 21442, 17130, 10414, 610, 519, 9730, 593, 519, 21073, 540, 6468, 538, 20157, 12579, 1222, 267, 971, 2516, 607, 519, 9796, 24054, 9730, 4440, 1131, 2760, 723, 2097, 883, 6228, 1510, 519, 3646, 540, 674, 307, 293, 543, 2910, 14684, 299, 563, 3528, 3967, 823, 3171, 6614, 21178, 4157, 553, 1299, 3967, 823, 31489, 1633, 609, 20152, 3733, 619, 454, 257, 13052, 25807, 296, 9970, 814, 6026, 803, 2437, 5206, 9253, 341, 559, 1546, 28838, 538, 476, 6642, 277, 267, 834, 25585, 519, 3655, 790, 560, 12820, 267, 538, 2241, 5126, 267, 2356, 2628, 2367, 811, 585, 1018, 4667, 693, 1101, 8289, 519, 1482, 960, 1701, 314, 16694, 316, 1607, 10182, 689, 513, 5399, 22082, 729, 6093, 540, 519, 476, 866, 628, 2540, 267, 513, 942, 950, 621, 729, 3144, 585, 11292, 602, 2021, 1058, 960, 585, 1447, 2724, 982, 1705, 2367, 269, 4014, 519, 476, 2641, 560, 2540, 568, 1631, 1152, 513, 1906, 1296, 2476, 267, 1346, 2324, 538, 22825, 1141, 2021, 856, 15893, 2367, 616, 1869, 2324, 585, 1447, 2724, 982, 1004, 538, 22825, 1141, 2367, 856, 15893, 2021, 563, 1103, 476, 6942, 277, 267, 2185, 856, 540, 2947, 7172, 12579, 941, 2367, 282, 2094, 827, 476, 4350, 271, 519, 9258, 5223, 814, 4371, 11931, 269, 3767, 267, 1152, 835, 7172, 4115, 538, 2947, 568, 5256, 269, 1306, 519, 6871, 540, 2021, 538, 519, 2361, 814, 2799, 267, 519, 23269, 723, 711, 282, 789, 723, 24111, 811, 7444, 982, 267, 543, 18423, 2630, 267, 23269, 538, 13380, 267, 2392, 7631, 2299, 5256, 22825, 563, 763, 1977, 7732, 5948, 814, 1279, 1044, 7255, 609, 713, 3510, 269, 769, 476, 2735, 275, 589, 6369, 12912, 513, 10151, 8189, 593, 9796, 24054, 282, 1310, 1896, 1296, 540, 4674, 513, 8628, 1560, 547, 4163, 593, 519, 960, 540, 14236, 543, 1857, 1944, 519, 3390, 540, 6528, 3386, 13180, 729, 3964, 269, 634, 1007, 8628, 1560, 568, 519, 1459, 9730, 593, 9796, 24054, 563, 763, 476, 1556, 2818, 540, 519, 9796, 24054, 9730, 267, 1312, 2021, 543, 2367, 267, 616, 9901, 609, 5009, 15287, 543, 4656, 540, 519, 2628, 9698, 3390, 538, 8021, 543, 609, 7674, 607, 606, 21141, 4199, 269, 1358, 616, 849, 547, 834, 25075, 728, 28007, 1489, 585, 2628, 9698, 25036, 2665, 5473, 5399, 4600, 1701, 314, 16694, 316, 763, 12233, 781, 2238, 1331, 513, 1433, 267, 9796, 24054, 281, 1323, 11059, 15015, 585, 7732, 20709, 676, 8349, 2106, 8230, 8014, 630, 32153, 7335, 267, 700, 297, 267, 5239, 476, 272, 267, 476, 2735, 280, 267, 533, 269, 476, 11277, 1070, 3892, 540, 3732, 2628, 9698, 3609, 1893, 267, 543, 3292, 543, 16968, 7886, 693, 1082, 19014, 563, 1432, 568, 2628, 9698, 888, 28324, 9698, 568, 3989, 538, 8230, 8014, 781, 1257, 607, 5205, 912, 28324, 9698, 568, 513, 3609, 602, 11394, 547, 9004, 3023, 543, 5198, 9186, 689, 519, 13230, 1606, 23293, 1184, 563, 763, 3804, 540, 782, 540, 713, 960, 568, 547, 12954, 1346, 2324, 538, 8021, 630, 1492, 5279, 729, 9450, 538, 476, 2735, 278, 547, 1331, 5399, 4600, 607, 1134, 607, 7172, 12579, 264, 547, 519, 991, 585, 2199, 2628, 9698, 11044, 269, 769, 519, 1184, 540, 18398, 1866, 267, 519, 12233, 2818, 723, 4121, 513, 1390, 4308, 912, 1892, 9796, 9698, 568, 24276, 282, 972, 616, 9551, 757, 267, 2665, 602, 723, 1044, 4465, 267, 547, 1397, 602, 713, 568, 865, 269, 4033, 2665, 723, 8694, 538, 14207, 855, 723, 6913, 513, 6284, 540, 519, 2628, 9698, 1523, 543, 741, 3355, 6388, 786, 1118, 621, 4443, 547, 979, 1394, 2663, 563, 1892, 1703, 616, 1896, 8810, 2409, 585, 8236, 9698, 267, 543, 891, 666, 581, 4121, 269, 634, 2409, 616, 711, 7294, 281, 538, 1249, 267, 789, 616, 2241, 267, 10257, 267, 543, 3551, 269, 1358, 616, 2356, 1759, 593, 2816, 6268, 563, 1892, 6428, 776, 7130, 4465, 1405, 979, 2476, 676, 3294, 282, 7172, 12579, 543, 1489, 5234, 267, 5399, 16984, 267, 543, 12545, 1590, 1544, 543, 2936, 11044, 547, 6318, 23269, 269, 634, 811, 945, 616, 3238, 267, 519, 811, 2500, 519, 4674, 666, 581, 563, 2005, 1568, 538, 16506, 454, 4131, 781, 2015, 2665, 540, 8021, 538, 799, 5234, 338, 723, 5833, 12581, 2628, 269, 634, 1533, 540, 16506, 2488, 835, 3730, 1383, 281, 538, 476, 2735, 271, 519, 1533, 5293, 9086, 547, 9004, 3023, 9186, 538, 1533, 5520, 262, 23269, 269, 898, 729, 5462, 538, 513, 1353, 602, 2816, 5049, 4904, 5631, 676, 2021, 941, 6976, 3648, 1447, 454, 314, 335, 269, 476, 4391, 316, 22474, 4086, 2406, 12595, 2816, 524, 328, 13293, 4904, 5631, 676, 2367, 269, 4107, 5399, 7158, 538, 1533, 2229, 941, 4904, 676, 2021, 267, 865, 7172, 12579, 543, 5399, 5234, 4607, 2628, 9698, 4679, 2059, 609, 824, 24598, 4660, 16506, 588, 1446, 5520, 563, 23804, 602, 891, 9698, 28303, 2838, 1152, 827, 2185, 2600, 540, 519, 1533, 781, 5993, 2628, 2651, 547, 2936, 267, 519, 16506, 23328, 4956, 547, 8831, 519, 4674, 269, 769, 476, 2735, 275, 267, 519, 1533, 5293, 519, 10871, 6554, 9796, 24054, 2920, 602, 2838, 782, 4872, 267, 17521, 267, 1153, 13102, 267, 3092, 1421, 547, 2932, 2816, 6268, 2090, 543, 2697, 2816, 5049, 676, 4008, 267, 1287, 3561, 31716, 543, 1544, 11941, 1141, 2556, 563, 1103, 476, 2735, 279, 267, 519, 16506, 8433, 540, 7732, 4886, 6594, 519, 1101, 476, 6858, 540, 891, 5359, 547, 1294, 875, 5399, 5520, 896, 2199, 6608, 1185, 1044, 4299, 676, 519, 957, 269, 1358, 1336, 602, 834, 325, 24580, 26730, 3990, 5399, 6009, 2066, 519, 4604, 941, 14413, 638, 2299, 9104, 730, 538, 6935, 547, 4086, 2406, 12595, 5256, 26730, 3990, 6009, 1369, 519, 1482, 16278, 2437, 609, 31716, 8151, 689, 4557, 2600, 547, 811, 982, 476, 1220, 2600, 269, 634, 1184, 540, 31925, 31716, 538, 16506, 5170, 16804, 16694, 2639, 5415, 982, 4993, 29681, 454, 1103, 519, 4993, 3557, 2160, 1062, 267, 7172, 12579, 941, 5116, 593, 519, 1482, 14057, 8430, 607, 3450, 12200, 538, 476, 2735, 275, 282, 713, 729, 6913, 454, 314, 335, 269, 476, 4343, 316, 10843, 7104, 29541, 267, 676, 1519, 7172, 12579, 538, 519, 12200, 29541, 1770, 865, 602, 789, 3838, 519, 2640, 540, 519, 12200, 4579, 563, 4913 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 610, 789, 1522, 581, 533, 3183, 856, 540, 519, 12775, 9475, 693, 519, 5377, 540, 519, 1494, 269, 898, 779, 942, 547, 1065, 582, 707, 2030, 952, 5072, 616, 2938, 3395, 856, 540, 519, 1494, 779, 5377, 269, 1403, 519, 5072, 616, 4847, 547, 1020, 538, 713, 6073, 267, 519, 3390, 786, 1152, 1831, 8338, 543, 949, 7654, 1291, 547, 519, 2669, 540, 519, 2030, 563, 9827, 267, 519, 3762, 540, 513, 533, 1054, 657, 2030, 602, 568, 3597, 3808, 4465, 1406, 2408, 607, 18932, 610, 2635, 607, 789, 1058, 269, 634, 3762, 1522, 581, 4130, 982, 8912, 267, 723, 513, 12779, 5835, 610, 3039, 32442, 267, 610, 723, 5835, 9634, 269, 4595, 3597, 3808, 2371, 723, 513, 9875, 942, 21716, 1216, 267, 519, 3762, 949, 849, 2408, 12015, 909, 267, 799, 568, 4749, 519, 2601, 1946, 513, 533, 1054, 657, 685, 3762, 1131, 1376, 1225, 1782, 269, 634, 3762, 540, 2371, 602, 616, 3648, 3597, 3808, 786, 849, 5555, 2887, 1055, 563, 15563, 267, 519, 4527, 540, 18655, 538, 519, 1494, 707, 533, 1054, 657, 2030, 568, 538, 568, 513, 2318, 1129, 602, 621, 814, 856, 326, 3497, 519, 8708, 269, 19663, 5072, 949, 2014, 519, 1494, 547, 695, 2660, 607, 789, 2046, 909, 1996, 519, 5011, 540, 519, 1494, 269, 901, 568, 3226, 3020, 585, 31619, 26181, 320, 610, 10036, 17428, 267, 799, 616, 811, 28221, 982, 824, 5686, 540, 17428, 269, 898, 779, 942, 547, 1065, 582, 707, 533, 1054, 657, 2030, 883, 513, 3677, 2450, 952, 596, 1294, 18015, 538, 519, 1494, 563, 4415, 782, 891, 4191, 538, 2247, 267, 519, 3070, 568, 2241, 269, 17179, 707, 533, 1054, 657, 689, 922, 1494, 267, 2312, 856, 519, 3037, 267, 2119, 547, 5094, 519, 5072, 267, 1287, 1065, 582, 519, 2030, 538, 513, 3677, 2030, 609, 1007, 267, 14927, 267, 6992, 1242, 3037, 269, 2659, 533, 1054, 657, 786, 9684, 596, 2336, 6701, 17540, 21424, 24306, 16453, 585, 623, 1054, 657, 888, 2791, 1522, 5469, 1018, 4667, 547, 581, 513, 6094, 4494, 540, 8034, 3960, 593, 519, 19666, 5072, 540, 707, 2030, 269, 1703, 1522, 711, 581, 513, 991, 585, 6161, 952, 596, 5469, 713, 8034, 3960, 269, 1879, 519, 19666, 5072, 2097, 883, 3346, 609, 1776, 2627, 267, 723, 1044, 24760, 538, 1216, 267, 610, 616, 538, 606, 1604, 609, 1360, 1164, 11195, 267, 1346, 5072, 2253, 547, 2408, 27967, 269, 901, 27967, 1570, 568, 2965, 513, 6094, 4494, 540, 2030, 968, 327, 1515, 892, 5497, 547, 5351, 519, 5072, 538, 21716, 7509, 543, 20170, 547, 1114, 7252, 269, 5457, 267, 519, 3483, 540, 19666, 5072, 568, 547, 6529, 547, 4054, 543, 7725, 538, 2470, 269, 898, 779, 9985, 3339, 269, 1717, 267, 602, 8034, 3960, 1223, 849, 5732, 581, 9044, 563, 2521, 7738, 519, 5072, 609, 513, 5848, 1957, 24621, 952, 596, 2461, 14126, 621, 1223, 581, 9044, 269, 27718, 568, 3335, 7168, 2241, 547, 4894, 269, 1403, 519, 8034, 3960, 26251, 267, 596, 2461, 1034, 2693, 1175, 7231, 609, 20027, 3597, 24827, 269, 2142, 3222, 602, 952, 9044, 568, 4362, 267, 596, 1058, 3313, 952, 519, 3037, 568, 1932, 6632, 543, 2115, 547, 581, 12015, 856, 269, 2201, 519, 11710, 610, 3762, 267, 1413, 585, 15649, 602, 616, 6960, 610, 3109, 269, 901, 666, 5815, 3597, 4232, 563, 303, 1054, 657, 2371, 616, 7168, 1970, 5826, 267, 855, 621, 568, 4105, 547, 1416, 585, 741, 5072, 952, 596, 1616, 707, 533, 1054, 657, 547, 1332, 607, 1804, 543, 4190, 607, 2009, 269, 595, 2130, 585, 519, 5072, 3884, 1406, 1932, 2352, 547, 798, 2901, 267, 607, 1279, 607, 596, 723, 930, 3063, 942, 547, 4142, 6510, 547, 741, 5826, 563, 23763, 547, 1451, 811, 827, 519, 3750, 2275, 10248, 533, 1054, 657, 2777, 8690, 286, 6744, 856, 938, 538, 3829, 3391, 547, 3388, 596, 991, 547, 917, 827, 533, 1054, 657, 2336, 5415, 689, 589, 19053, 12292, 454, 763, 3171, 25733, 12005, 454, 11902, 17988, 630, 21761, 18542, 5999, 994, 1692, 547, 533, 1054, 657, 5072, 1332, 888, 303, 1054, 657, 5072, 1332, 689, 9136, 4092, 3330, 540, 519, 6565, 269, 5221, 540, 713, 267, 1346, 9136, 991, 547, 581, 12617, 2620, 2614, 538, 3037, 585, 513, 2635, 533, 1054, 657, 547, 1332, 563, 2710, 533, 1054, 657, 2371, 899, 547, 581, 3597, 20129, 888, 303, 1054, 657, 666, 20496, 1373, 5594, 3597, 20129, 267, 855, 789, 798, 4782, 513, 3787, 540, 2230, 538, 513, 3677, 1494, 563, 1432, 1058, 594, 798, 609, 519, 19666, 5072, 593, 1250, 533, 1054, 657, 888, 2791, 666, 29608, 707, 533, 1054, 657, 676, 5969, 519, 6565, 2630, 519, 19666, 3597, 543, 11093, 621, 538, 1216, 563, 14188, 596, 585, 2542, 256, 5620, 930, 5955, 585, 721, 286, 13555, 519, 589, 313, 12292, 21107, 2319, 269, 0, 2750, 4897, 568, 851, 540, 9786, 5604, 602, 568, 9053, 676, 519, 1004, 945, 960, 593, 17890, 1239, 538, 1106, 540, 1257, 543, 2338, 269, 898, 568, 513, 1360, 3730, 3301, 547, 4383, 1239, 538, 519, 14724, 1106, 899, 8051, 267, 7194, 267, 1239, 2079, 267, 3092, 269, 898, 814, 1082, 2645, 543, 2934, 602, 1118, 519, 1239, 538, 519, 1459, 762, 1106, 543, 835, 666, 3533, 1205, 519, 2838, 1344, 676, 1210, 519, 22369, 1982, 540, 9185, 563, 10743, 723, 547, 4308, 609, 1950, 10467, 538, 9049, 9185, 1282, 741, 1565, 1974, 269, 1452, 10467, 616, 25471, 585, 873, 269, 3509, 1053, 616, 711, 2111, 547, 4308, 609, 519, 14133, 7084, 610, 4383, 5458, 5666, 540, 1239, 1813, 547, 513, 3668, 540, 1620, 269, 1358, 16926, 4966, 689, 14133, 7084, 948, 547, 4194, 519, 1966, 543, 6582, 1239, 538, 513, 9266, 3898, 269, 898, 3947, 1053, 513, 2312, 1620, 540, 519, 1523, 540, 519, 1641, 543, 513, 4960, 547, 2087, 741, 2773, 563, 29619, 540, 9185, 17943, 454, 2750, 4897, 568, 513, 22369, 1982, 602, 3947, 519, 9744, 547, 519, 3755, 547, 4383, 741, 1804, 2179, 540, 1239, 543, 1349, 6209, 1344, 269, 634, 1239, 538, 519, 3262, 666, 4558, 538, 2281, 799, 568, 519, 10167, 851, 540, 9343, 543, 9587, 269, 1703, 616, 1114, 9238, 3238, 538, 14133, 9212, 602, 948, 547, 10891, 1344, 610, 1239, 538, 513, 1697, 6073, 563, 1103, 14133, 782, 960, 568, 2944, 593, 519, 22369, 269, 19737, 519, 4976, 568, 2653, 269, 1411, 666, 3362, 556, 4067, 519, 6656, 267, 1847, 5299, 267, 18419, 610, 1039, 519, 1039, 9212, 538, 14133, 269, 589, 3758, 538, 14133, 2882, 1614, 3211, 676, 9949, 855, 596, 666, 1039, 610, 18419, 9212, 2687, 547, 707, 10421, 563, 13043, 543, 18926, 4813, 10358, 454, 2750, 4897, 568, 10416, 1031, 585, 12719, 1239, 538, 8051, 543, 8579, 4610, 269, 1280, 713, 3483, 267, 14133, 2882, 1082, 1106, 27909, 543, 3252, 899, 1293, 1599, 267, 1293, 10145, 267, 3328, 1599, 267, 543, 6310, 1599, 602, 1331, 1840, 267, 12408, 267, 6498, 267, 8691, 267, 3092, 269, 898, 2337, 519, 3593, 547, 4194, 6310, 2042, 269, 1677, 917, 519, 6310, 2035, 538, 1469, 1491, 10803, 7084, 948, 689, 3318, 4966, 563, 2419, 11301, 543, 29093, 454, 6624, 8579, 543, 6310, 2042, 616, 1759, 593, 513, 1804, 2179, 540, 1239, 269, 9185, 2337, 547, 1397, 1239, 538, 1106, 540, 11708, 543, 12125, 269, 634, 5750, 3947, 513, 2312, 1620, 540, 519, 1239, 547, 519, 5784, 269, 1411, 666, 2721, 1114, 2010, 540, 12125, 899, 2650, 12125, 267, 1899, 12125, 267, 543, 14649, 12125, 538, 14133, 563, 31572, 513, 1804, 2179, 540, 1239, 568, 711, 606, 2653, 4305, 269, 898, 3587, 2653, 547, 4383, 971, 5686, 540, 1239, 538, 14133, 9212, 269, 1411, 666, 4558, 519, 1239, 538, 835, 610, 2789, 9212, 543, 666, 4019, 1114, 3252, 543, 1106, 27909, 547, 5173, 1239, 543, 1265, 513, 1267, 269, 2368, 2934, 899, 12086, 543, 22141, 7515, 1118, 1239, 2359, 4443, 585, 519, 3593, 563, 2467, 723, 865, 1082, 2934, 547, 7421, 1239, 543, 4466, 6209, 1344, 1310, 9273, 269, 5192, 14133, 7084, 948, 689, 4966, 547, 5659, 519, 1239, 563, 7476, 9185, 12143, 6435, 689, 20226, 454, 2005, 568, 1360, 2352, 547, 4383, 1804, 1239, 543, 5173, 873, 547, 1265, 519, 5078, 1267, 269, 634, 2533, 2709, 6351, 547, 519, 1053, 602, 948, 873, 547, 4308, 609, 519, 1239, 543, 4383, 621, 3362, 269, 9185, 7084, 948, 2533, 723, 513, 2319, 540, 3318, 5830, 945, 917, 14133, 3252, 543, 2934, 14013, 269, 1358, 666, 1683, 9985, 6896, 1239, 538, 606, 14133, 6656, 269, 1358, 666, 3362, 1349, 1344, 689, 519, 6656, 269, 634, 5830, 723, 519, 6791, 547, 8908, 513, 17096, 6954, 7084, 269, 1358, 666, 1683, 589, 266, 2298, 10467, 543, 476, 2190, 16923, 6075, 1489, 547, 519, 1053, 269, 898, 2337, 873, 547, 6060, 1434, 9344, 538, 741, 14133, 7084, 563, 3528, 3478, 14133, 7084, 948, 689, 4966, 596, 666, 3986, 707, 1620, 540, 519, 2596, 2035, 602, 948, 596, 547, 4383, 1239, 3362, 269, 0, 1432, 798, 519, 15602, 267, 14586, 267, 1004, 609, 7486, 267, 543, 6634, 540, 4816, 1630, 12002, 723, 538, 1455, 286, 1358, 2461, 782, 11630, 547, 17537, 595, 3644, 630, 18449, 309, 1916, 6546, 779, 2687, 547, 12884, 10938, 6048, 19279, 4437, 267, 945, 814, 13736, 693, 18171, 601, 8316, 9469, 17341, 11233, 585, 519, 2063, 2947, 1296, 269, 4437, 6045, 602, 476, 2568, 13807, 639, 2929, 10172, 4816, 1630, 12002, 616, 693, 519, 5207, 1981, 538, 1010, 1867, 693, 519, 4989, 476, 1839, 8274, 540, 6034, 832, 5870, 563, 18449, 309, 3968, 543, 2126, 568, 513, 3905, 1888, 538, 4915, 267, 4437, 1767, 267, 1317, 621, 814, 1831, 865, 7839, 267, 609, 811, 982, 476, 3199, 2929, 1004, 2348, 26438, 621, 269, 1703, 568, 1100, 6669, 2139, 547, 2061, 621, 267, 543, 621, 568, 519, 3056, 2014, 540, 6797, 5821, 543, 6797, 2860, 538, 519, 2136, 2276, 269, 1703, 616, 5711, 6527, 585, 2126, 2899, 2576, 814, 519, 3968, 563, 293, 1168, 518, 982, 3368, 540, 1346, 609, 670, 20302, 616, 8995, 1317, 972, 616, 1906, 2589, 1354, 621, 3587, 5312, 267, 4437, 1767, 563, 29467, 779, 4986, 547, 1413, 585, 2223, 646, 1767, 267, 968, 663, 596, 1152, 1265, 621, 952, 596, 798, 3573, 1973, 4255, 269, 901, 568, 606, 3968, 602, 779, 896, 10972, 30938, 543, 568, 513, 1857, 1072, 3390, 3034, 3891, 1767, 5574, 1031, 547, 2063, 689, 3670, 3275, 547, 513, 1032, 267, 609, 10826, 3928, 267, 610, 13455, 19274, 6331, 545, 3210, 630, 306, 23623, 264, 3928, 267, 3335, 1472, 476, 2412, 260, 547, 476, 2004, 260, 585, 519, 1034, 1455, 1826, 540, 670, 20302, 269, 1809, 538, 519, 2063, 2947, 1296, 267, 972, 814, 1044, 513, 13414, 538, 8156, 670, 20302, 267, 4437, 1767, 563, 14071, 4867, 723, 1896, 1134, 2389, 11217, 730, 267, 5711, 10788, 5574, 585, 519, 646, 335, 595, 3644, 609, 10826, 3928, 2673, 547, 476, 1911, 9077, 585, 2550, 945, 1491, 873, 585, 607, 2370, 607, 5216, 4374, 2223, 646, 1767, 269, 968, 17829, 5574, 616, 4922, 4988, 676, 6142, 267, 2436, 621, 779, 513, 5010, 1544, 267, 2405, 328, 4211, 531, 610, 24310, 3034, 3891, 1767, 519, 15544, 585, 8376, 6513, 5462, 602, 782, 4816, 1630, 12002, 1765, 15161, 4535, 1063, 476, 3707, 277, 543, 476, 3422, 275, 1765, 29019, 581, 29971, 585, 670, 20302, 1317, 476, 4037, 260, 540, 670, 20302, 2550, 616, 4816, 1630, 12002, 269, 634, 2601, 1004, 4535, 538, 602, 2053, 3966, 723, 1164, 3928, 540, 22031, 595, 568, 711, 4625, 6956, 267, 2687, 547, 519, 15509, 269, 4107, 616, 5156, 547, 723, 1831, 7783, 538, 519, 476, 3422, 271, 338, 998, 519, 476, 2735, 271, 338, 950, 6771, 540, 670, 20302, 729, 5207, 269, 6969, 7839, 9584, 540, 519, 1973, 3761, 3459, 538, 476, 1960, 273, 267, 670, 20302, 729, 3262, 998, 1973, 13816, 16272, 543, 1418, 1098, 17852, 563, 2108, 6546, 568, 4098, 547, 6521, 1317, 540, 10001, 3075, 946, 936, 519, 2063, 8717, 610, 865, 2223, 4437, 1767, 269, 968, 8170, 519, 1007, 17537, 595, 5563, 267, 827, 476, 3199, 260, 2049, 1851, 2550, 945, 22280, 5061, 3034, 3891, 1767, 621, 3085, 1406, 2339, 519, 17539, 540, 519, 2146, 267, 2436, 2749, 610, 6917, 267, 621, 568, 513, 1455, 3968, 563, 17606, 779, 711, 2469, 2476, 2223, 646, 1767, 269, 968, 2171, 3580, 4440, 1294, 621, 811, 543, 811, 538, 938, 6413, 4259, 267, 607, 1134, 269, 634, 8984, 827, 646, 335, 595, 602, 2306, 621, 2731, 7282, 568, 602, 476, 4037, 260, 547, 476, 5952 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 296, 27138, 936, 26061, 10637, 563, 347, 14630, 540, 5137, 10573, 11321, 476, 1220, 275, 2008, 347, 23086, 3877, 540, 8502, 10573, 5403, 531, 281, 476, 8064, 808, 293, 298, 9335, 267, 11062, 267, 10790, 476, 28512, 4343, 2008, 16158, 2985, 281, 5291, 2517, 4178, 269, 802, 326, 269, 9618, 10542, 12975, 22812, 14142, 270, 11529, 7272, 3639, 27651, 21867, 454, 5415, 1344, 998, 11581, 7644, 290, 454, 27066, 7396, 593, 9517, 292, 3008, 454, 8923, 1867, 11239, 610, 4704, 6959, 547, 2073, 610, 2073, 952, 596, 616, 519, 10805, 2278, 540, 519, 11855, 960, 267, 2845, 538, 547, 707, 1234, 14154, 322, 8191, 6796, 9043, 267, 4945, 593, 834, 322, 14591, 257, 543, 1118, 3617, 11941, 269, 912, 268, 6424, 631, 269, 12338, 2401, 1299, 4460, 15966, 548, 961, 534, 1299, 9478, 623, 269, 1715, 5264, 1299, 667, 1695, 20377, 3816, 2401, 267, 476, 1960, 277, 269, 834, 6701, 6481, 31245, 13207, 1456, 286, 2437, 715, 21612, 11554, 14430, 476, 276, 4037, 271, 267, 2817, 13163, 540, 9483, 3194, 267, 5549, 563, 268, 19626, 661, 269, 2904, 518, 1299, 18332, 23514, 4242, 267, 476, 2735, 280, 269, 834, 303, 20191, 543, 519, 17392, 540, 7698, 670, 13734, 2437, 4750, 540, 5274, 8249, 267, 2160, 540, 16855, 4964, 267, 2019, 269, 476, 2190, 263, 272, 1070, 3817, 476, 6434, 268, 14625, 563, 2691, 31392, 513, 15494, 267, 5225, 2446, 713, 6221, 781, 6023, 281, 1234, 14154, 322, 281, 324, 743, 281, 9618, 329, 325, 330, 281, 337, 342, 335, 6860, 268, 30203, 269, 6423, 2489, 1344, 827, 875, 547, 2953, 1570, 538, 1234, 14154, 322, 563, 2690, 2930, 2055, 3823, 713, 6221, 267, 610, 547, 2953, 922, 4589, 267, 2140, 267, 7493, 267, 12190, 4919, 610, 4647, 1344, 267, 3346, 281, 630, 994, 2252, 596, 723, 30363, 713, 6221, 543, 616, 711, 2943, 10805, 609, 1234, 14154, 322, 267, 649, 5000, 596, 547, 798, 621, 1934, 269, 901, 2636, 547, 3095, 707, 9043, 547, 713, 6221, 269, 898, 849, 2636, 596, 547, 3398, 1761, 14327, 547, 713, 6221, 602, 649, 616, 7334, 827, 563, 2252, 8100, 616, 7357, 7508, 267, 596, 666, 1039, 873, 1210, 713, 1106, 563, 2252, 519, 2407, 8100, 1592, 606, 6221, 602, 568, 1459, 538, 1234, 14154, 322, 267, 855, 519, 1062, 1705, 711, 3095, 547, 621, 267, 596, 666, 948, 609, 713, 1106, 563, 2252, 596, 917, 540, 7508, 3688, 19696, 713, 835, 267, 596, 666, 948, 721, 2870, 1346, 6402, 676, 4946, 519, 4143, 8100, 538, 519, 1482, 1259, 607, 1657, 267, 585, 1142, 1201, 1359, 6221, 269, 1403, 596, 616, 513, 10805, 2278, 540, 713, 6221, 267, 596, 949, 849, 1616, 547, 2638, 519, 834, 322, 14591, 257, 9184, 538, 707, 9043, 267, 607, 972, 949, 581, 930, 14327, 7996, 585, 21533, 563, 8923, 4063, 602, 28303, 949, 1491, 513, 7008, 540, 4374, 547, 6882, 998, 519, 1585, 1234, 14154, 322, 2533, 269, 0, 257, 31549, 1044, 513, 12468, 11232, 865, 1082, 2053, 30882, 268, 21965, 681, 2086, 749, 267, 2875, 7711, 2160, 540, 6115, 454, 257, 2750, 18075, 519, 948, 594, 2877, 4799, 268, 26391, 8316, 525, 267, 2875, 7711, 5842, 8277, 3557, 454, 10454, 1655, 1747, 585, 23730, 2093, 4799, 268, 7812, 20727, 577, 992, 545, 345, 267, 2875, 7711, 2160, 540, 17996, 454, 306, 517, 6339, 476, 1015, 267, 676, 3627, 5213, 928, 454, 763, 1101, 588, 24521, 568, 6031, 602, 2669, 568, 711, 10583, 1256, 1498, 930, 1004, 1289, 621, 602, 269, 1261, 1281, 711, 1589, 602, 2669, 568, 513, 10583, 3364, 269, 769, 519, 1985, 588, 24521, 646, 568, 3081, 602, 2669, 568, 9444, 22800, 6862, 23487, 995, 269, 1261, 849, 3081, 602, 1004, 945, 1589, 602, 2669, 568, 1945, 547, 2909, 326, 827, 616, 737, 27570, 2933, 269, 15526, 1590, 3068, 621, 865, 1946, 1058, 621, 581, 2938, 607, 1945, 547, 1350, 13331, 827, 610, 1945, 602, 568, 23487, 995, 269, 15526, 1590, 3068, 621, 267, 2669, 568, 711, 1945, 602, 568, 5641, 2390, 1225, 1555, 1004, 269, 769, 519, 3791, 588, 24521, 646, 3081, 602, 950, 649, 5884, 267, 649, 786, 4309, 513, 1732, 3207, 982, 649, 798, 1631, 269, 12280, 666, 1406, 6146, 596, 1317, 596, 616, 1869, 9800, 538, 6891, 269, 634, 8521, 588, 24521, 3081, 602, 1256, 519, 1655, 540, 2367, 786, 581, 3144, 676, 2669, 269, 4256, 7633, 616, 2451, 547, 519, 3618, 543, 741, 20339, 616, 3144, 11992, 269, 1284, 616, 10437, 547, 2669, 1317, 3025, 786, 5884, 269, 634, 11359, 588, 24521, 3081, 602, 972, 616, 1919, 602, 2014, 2669, 602, 1100, 1480, 666, 1852, 610, 3247, 269, 2782, 267, 19210, 267, 543, 8914, 616, 1175, 513, 1906, 269, 769, 519, 15795, 588, 24521, 646, 3081, 1946, 1058, 1004, 1350, 13331, 827, 2669, 952, 917, 812, 814, 1852, 936, 2669, 286, 4208, 1058, 596, 723, 11348, 827, 2669, 286, 769, 519, 3803, 588, 24521, 646, 3081, 602, 938, 2729, 616, 855, 513, 2110, 3207, 3379, 547, 519, 18163, 2661, 649, 723, 1310, 649, 32570, 689, 602, 3207, 269, 4495, 649, 5884, 519, 9997, 568, 9800, 543, 2669, 1100, 3476, 1095, 1938, 269, 1284, 616, 4547, 883, 18163, 1272, 269, 12280, 666, 1100, 3476, 1491, 721, 1317, 621, 2907, 814, 563, 8469, 2787, 476, 1704, 267, 676, 3627, 5213, 928, 454, 763, 8574, 602, 594, 8359, 602, 1655, 9727, 519, 6249, 568, 267, 968, 5591, 812, 568, 606, 6532, 267, 3003, 540, 3294, 282, 1169, 812, 568, 513, 4062, 540, 519, 11782, 267, 513, 851, 540, 519, 1292, 1848, 901, 8574, 3081, 602, 1100, 835, 568, 676, 2933, 538, 713, 1158, 972, 616, 2141, 1004, 543, 14326, 972, 547, 948, 543, 3391, 721, 269, 1284, 616, 711, 11207, 4805, 282, 649, 616, 851, 540, 519, 1480, 5198, 602, 729, 2813, 676, 2696, 269, 901, 14405, 519, 2898, 6648, 1927, 1317, 621, 14550, 602, 2696, 7125, 547, 782, 540, 721, 1317, 649, 616, 782, 1010, 13144, 267, 782, 2813, 3160, 269, 1879, 646, 17167, 338, 1010, 11350, 267, 646, 939, 330, 976, 585, 782, 547, 10847, 1864, 1317, 646, 568, 3025, 779, 620, 332, 26663, 4651, 269, 594, 8359, 713, 8574, 1317, 621, 18304, 909, 519, 2898, 6648, 538, 6031, 602, 1100, 812, 568, 4805, 1317, 3025, 568, 3808, 1927, 676, 513, 1455, 17082, 269, 15526, 568, 851, 540, 519, 2462, 11782, 1317, 649, 616, 782, 2696, 779, 1453, 563, 8698, 9509, 4828, 454, 11990, 5213, 928, 267, 12312, 6339, 267, 634, 6153, 5336, 6563, 454, 5415, 5131, 10749, 6145, 901 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6021, 270, 1015, 1916, 763, 1353, 814, 1044, 9516, 676, 519, 5507, 631, 3918, 290, 630, 13231, 344, 1201, 476, 6021, 26260, 5881, 273, 272, 270, 5325, 994, 9515, 9346, 808, 541, 6665, 267, 13495, 880, 667, 7315, 329, 531, 267, 9400, 18582, 2125, 267, 21965, 5261, 5459, 454, 3412, 704, 658, 5441, 16195, 23244, 11565, 267, 10348, 4077, 331, 2714, 525, 543, 595, 3559, 22855, 11233, 454, 12606, 519, 4578, 14635, 4813, 630, 17584, 293, 994, 20084, 5308, 306, 589, 20294, 2598, 7611, 270, 11514, 4167, 532, 589, 20294, 589, 928, 584, 903, 332, 4813, 454, 268, 9745, 4762, 7808, 2037, 11431, 883, 631, 11189, 543, 4132, 2657, 630, 4753, 300, 21815, 264, 5177, 5291, 2517, 4178, 269, 576, 332, 778, 3820, 16896, 563, 268, 9745, 15576, 345, 28679, 267, 30793, 320, 808, 309, 267, 5651, 2632, 631, 294, 267, 5839, 298, 20044, 773, 28251, 267, 28615, 681, 289, 630, 2735, 275, 264, 589, 20294, 771, 7611, 563, 268, 513, 267, 536, 11066, 590, 267, 27550, 1457, 594, 267, 10753, 767, 331, 11083, 630, 1220, 276, 1040, 3131, 760, 691, 636, 6881, 540, 606, 8650, 513, 20294, 771, 7611, 11065, 337, 808, 27118, 525, 628, 5919, 11463, 263, 275, 2567, 5392, 277, 268, 280, 563, 268, 513, 267, 536, 654, 1695, 6840, 570, 267, 5487, 553, 808, 267, 1325, 5287, 589, 267, 16907, 560, 670, 294, 630, 1960, 275, 1040, 29766, 540, 8650, 1826, 589, 513, 20294, 771, 7611, 1310, 524, 525, 732, 534, 3296, 538, 519, 13977, 5991, 12764, 3018, 540, 6379, 269, 808, 18897, 659, 9315, 328, 990, 2444, 13880, 269, 476, 13040, 263, 272, 2567, 27183, 268, 276, 563, 268, 9745, 631, 15530, 345, 5451, 4592, 594, 267, 631, 6759, 10635, 345, 808, 267, 590, 345, 331, 5451, 12858, 808, 267, 5576, 28704, 808, 267, 570, 1941, 6759, 857, 700, 267, 18491, 344, 700, 267, 590, 345, 2946, 335, 700, 630, 1220, 271, 1040, 25731, 5735, 543, 16758, 31752, 540, 513, 20294, 771, 7611, 269, 30446, 5919, 14056, 263, 276, 2567, 14338, 272, 268, 274, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6820, 654, 9879, 0, 24876, 1614, 1806, 540, 2168, 543, 3114, 17694, 1142, 269, 3557, 875, 891, 17694, 1205, 883, 938, 1426, 543, 1018, 15324, 3800, 649, 666, 2936, 547, 2057, 891, 17694, 563, 1432, 568, 1164, 1981, 3536, 543, 1946, 568, 621, 2653, 547, 2014, 1426, 28703, 4576, 286, 1432, 649, 991, 547, 798, 2061, 1426, 25645, 4576, 543, 875, 621, 666, 581, 6417, 888, 268, 18422, 299, 341, 476, 7906, 13127, 491, 479, 23946, 368, 31176, 491, 31006, 418, 482, 505, 25335, 352, 419, 511, 498, 454, 272, 269, 22458, 269, 22458, 666, 1205, 883, 1426, 1587, 3362, 952, 1022, 9441, 945, 814, 3346, 609, 519, 1587, 1568, 1510, 513, 4552, 6339, 269, 1677, 2061, 602, 689, 8345, 267, 782, 9441, 723, 547, 5957, 4552, 6339, 630, 261, 581, 731, 6339, 952, 2348, 581, 731, 1916, 273, 269, 19371, 269, 1403, 11183, 2326, 1331, 4837, 267, 7745, 14296, 666, 1205, 883, 3803, 2472, 269, 1677, 2061, 602, 689, 8345, 267, 3549, 1058, 5094, 4837, 11183, 1899, 689, 824, 11183, 3515, 267, 723, 1852, 2798, 547, 2327, 11149, 616, 1863, 540, 4837, 13365, 543, 723, 513, 7745, 4837, 1982, 563, 274, 269, 4035, 601, 787, 269, 4035, 601, 787, 666, 849, 1205, 883, 2472, 952, 9441, 945, 31273, 14446, 547, 960, 693, 2504, 3515, 269, 1677, 2061, 602, 689, 8345, 267, 14446, 1058, 581, 3144, 1055, 1354, 2324, 693, 2504, 3515, 630, 604, 814, 547, 5957, 16806, 6512, 267, 519, 6512, 814, 547, 581, 10750, 264, 543, 17309, 723, 547, 581, 12816, 563, 272, 269, 9061, 12526, 269, 1403, 6191, 9706, 3174, 1899, 568, 711, 1373, 2973, 2614, 267, 21187, 899, 14298, 273, 267, 9049, 294, 1299, 1978, 2010, 540, 11254, 7408, 1522, 1205, 883, 2472, 799, 9268, 693, 519, 1482, 2504, 1899, 540, 602, 1058, 2270, 1100, 971, 6464, 269, 16473, 633, 6482, 281, 1246, 717, 6573, 267, 2973, 6191, 9706, 3174, 1899, 1134, 543, 1685, 4255, 547, 1118, 2386, 1100, 21225, 2451, 936, 563, 273, 269, 623, 4382, 1938, 269, 21277, 806, 1373, 10936, 539, 676, 13851, 1522, 581, 13603, 1354, 8430, 610, 711, 2973, 1134, 2614, 269, 16473, 633, 6482, 281, 1586, 267, 1246, 717, 6573, 270, 2675, 7359, 267, 2973, 7472, 1134, 543, 849, 4255, 585, 13851, 262, 4527, 563, 274, 269, 1677, 343, 514, 538, 1426, 269, 1280, 1383, 267, 524, 580, 340, 520, 28845, 538, 3165, 269, 16473, 633, 6482, 281, 1118, 2386, 3478, 6151, 544, 831, 5661, 689, 18019, 21527, 543, 547, 1685, 1644, 4255, 547, 2312, 547, 6151, 2326, 1354, 1031, 563, 11947, 1981, 3536, 616, 2356, 519, 835, 1373, 6023, 676, 1688, 513, 2603, 269, 2334, 1259, 267, 972, 1131, 581, 513, 2603, 540, 8458, 585, 3444, 733, 2727, 1588, 547, 1491, 1747, 269, 5253, 1688, 6840, 1058, 917, 543, 1174, 741, 717, 6573, 3609, 543, 581, 1434, 693, 741, 2123, 9882, 269, 14146, 619, 1058, 849, 1683, 2866, 547, 5520, 547, 1714, 822, 622, 5520, 1702, 593, 519, 3390, 563, 268, 476, 272, 13127, 491, 479, 23946, 368, 31176, 491, 454, 2467, 616, 1614, 6305, 2959, 540, 4914, 4703, 3863, 2326, 454, 15263, 2030, 630, 528, 1426, 7041, 1858, 8358, 3225, 3612, 543, 5656, 454, 15161, 1547, 7093, 3685, 568, 2141, 1732, 982, 7020, 269, 634, 6240, 540, 6604, 568, 602, 519, 4027, 540, 1426, 1996, 519, 10014, 540, 4914, 4703, 3340, 1761, 2959, 547, 581, 4857, 543, 12290, 585, 519, 2010, 540, 4914, 4703, 2404, 609, 873, 543, 741, 5232, 540, 3978, 1145, 269, 30785, 15324, 2409, 971, 607, 519, 7333, 940, 540, 4837, 11149, 267, 946, 540, 31978, 545, 4238, 267, 1434, 2777, 15209, 267, 2834, 24422, 267, 10986, 2866, 616, 24482, 4294, 693, 1585, 0, 2690, 1383, 267, 513, 1614, 4458, 6040, 7911, 945, 18953, 1010, 1024, 8558, 1896, 3108, 513, 1554, 543, 3112, 1445, 593, 824, 4247, 568, 18071, 513, 29708, 2623, 609, 9402, 18094, 543, 4908, 563, 1103, 1840, 267, 519, 5615, 602, 616, 519, 2547, 1455, 1851, 519, 1592, 540, 29708, 4638, 5615, 949, 2154, 811, 3573, 4879, 547, 1118, 2386, 972, 568, 1100, 5817, 4638, 2623, 1966, 563, 24357, 5974, 666, 581, 3407, 2200, 585, 3237, 676, 3246, 9027, 2218, 5583, 827, 1455, 4638, 5615, 538, 1453, 267, 543, 676, 1114, 11868, 2085, 29003, 29708, 4638, 5615, 689, 4638, 2623, 2042, 563, 10048, 1771, 2994, 1058, 1445, 593, 3617, 15366, 3210, 547, 519, 5615, 267, 2500, 30411, 689, 519, 5615, 538, 1514, 5468, 267, 17265, 23053, 585, 2417, 4879, 267, 3277, 23552, 585, 13508, 952, 519, 2623, 26251, 267, 543, 8989, 547, 1126, 8825, 2533, 610, 1876, 11268, 8041, 630, 514, 13076, 609, 1533, 4031, 264, 950, 6057, 568, 16143, 269, 277, 15703, 2474, 723, 1044, 1031, 547, 4766, 4638, 5615, 538, 1453, 563, 19284, 824, 7270, 4095, 15258, 13519, 338, 29864, 2593, 267, 814, 519, 4102, 4015, 540, 4095, 4342, 6690, 602, 4896, 666, 2972, 563, 29189, 783, 2623, 2042, 616, 3989, 607, 1646, 958, 20025, 610, 703, 28424, 4638, 6411, 602, 3335, 4125, 28170, 542, 610, 11605, 563, 4322, 824, 5615, 11604, 3339, 26447, 1646, 543, 519, 6932, 2956, 540, 9263, 3347, 563, 29189, 783, 2623, 666, 581, 22072, 610, 4125, 824, 7606, 267, 543, 949, 610, 949, 711, 4125, 4638, 3346, 476, 279, 5753, 798, 711, 8209, 4497, 538, 4638, 5615, 585, 4638, 11815, 2305, 282, 7279, 267, 32649, 540, 4767, 4638, 5615, 267, 3007, 5498, 22701, 267, 543, 1582, 27940, 5847, 616, 824, 4128, 1453, 949, 13789, 16770, 269, 278, 1556, 769, 2489, 267, 4638, 5615, 602, 616, 22072, 630, 324, 3052, 1421, 15700, 835, 781, 1378, 1024, 8558, 264, 610, 602, 798, 711, 4125, 3346, 630, 324, 3052, 1421, 3843, 547, 2070, 1776, 1268, 781, 1024, 8558, 610, 28244, 264, 616, 1455, 543, 4749, 4767, 269, 279, 5871, 267, 2085, 29003, 4638, 2623, 666, 1831, 513, 4638, 2623, 1966, 952, 621, 568, 26688, 610, 28170, 633, 563, 23173, 4609, 616, 4742, 811, 543, 811, 2442, 1851, 519, 2489, 2551, 267, 602, 568, 1946, 568, 3395, 563, 2252, 596, 616, 606, 4095, 8004, 267, 543, 596, 1616, 547, 7119, 538, 606, 4095, 2661, 10004, 267, 1287, 2119, 0, 4002, 11205, 267, 3057, 476, 276, 267, 476, 1001, 275, 267, 693, 476, 278, 281, 1789, 267, 30546, 18148, 5206, 912, 1103, 595, 543, 930, 824, 4654, 519, 535, 21879, 6920, 513, 25948, 21055, 602, 814, 1826, 834, 15615, 257, 552, 3052, 269, 834, 277, 269, 271, 325, 2668, 1411, 666, 946, 5580, 2013, 972, 607, 1134, 855, 519, 15007, 568, 2539, 2013, 543, 547, 1331, 519, 1547, 271, 950, 621, 781, 606, 8870, 269, 594, 1175, 1498, 602, 476, 274, 293, 5654, 18481, 3982, 689, 519, 1259, 621, 781, 3335, 2944, 538, 595, 563, 1692, 827, 476, 274, 337, 888, 4002, 519, 1641, 540, 21879, 525, 267, 621, 1522, 581, 4502, 6236, 602, 789, 1419, 946, 834, 323, 257, 585, 834, 29602, 257, 607, 1134, 269, 595, 258, 3096, 834, 332, 257, 630, 1721, 2724, 264, 585, 8918, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 16526, 538, 835, 4756, 543, 946, 873, 547, 4194, 2042, 269, 4530, 5623, 4888, 14684, 2207, 26395, 312, 269, 21929, 24306, 14497, 269, 476, 273, 5564, 28745, 1299, 29435, 532, 21929, 25285, 7689, 476, 275, 269, 5450, 7469, 848, 476, 273, 269, 2422, 1806, 689, 7844, 476, 272, 547, 1489, 707, 2626, 269, 476, 876, 286, 21718, 476, 280, 269, 3962, 3135, 7472, 519, 1482, 7082, 1587, 267, 855, 1142, 814, 513, 1114, 1305, 540, 5383, 543, 11393, 269, 476, 279, 634, 27284, 14497, 540, 10789, 476, 277, 269, 634, 1599, 2760, 269, 476, 273, 21929, 5890, 7859, 476, 272, 269, 2160, 540, 4826, 31846, 595, 4932, 290, 6092, 2264, 585, 631, 295, 293, 275, 308, 1299, 14330, 309, 275, 308, 269, 2776, 4211, 531, 1529, 639, 12968, 832, 269, 2201, 713, 2985, 596, 786, 1265, 281, 513, 2347, 1592, 540, 782, 540, 938, 2979, 3211, 11341, 547, 2776, 20412, 639, 269, 476, 273, 28977, 540, 21929, 12793, 13723, 910, 5239, 476, 1704, 281, 476, 274, 269, 476, 275, 3487, 476, 272, 2433, 14572, 26344, 6248, 12307, 27116, 476, 276, 269, 6657, 6096, 1452, 3211, 941, 2813, 676, 16962, 6019, 4400, 3427, 6128, 3610, 12448, 589, 19520, 267, 9291, 1546, 299, 9926, 1512, 267, 1855, 25564, 15284, 267, 543, 19626, 853, 10719, 267, 607, 851, 540, 519, 16962, 6019, 12140, 262, 25674, 15099, 5741, 269, 476, 277, 21929, 12793, 269, 570, 976, 540, 5131, 4569, 269, 1863, 4976, 7824, 543, 2626, 1883, 593, 533, 2716, 2338, 476, 3393, 2243, 1439, 540, 1770, 2689, 6656, 593, 4946, 18946, 15273, 527, 335, 2391, 12270, 543, 14458, 533, 2716, 543, 16494, 2338, 26549, 7223, 476, 273, 4238, 609, 533, 2716, 2338, 2689, 476, 273, 4976, 676, 737, 25917, 3301, 26270, 322, 476, 866, 476, 273, 328, 2340, 24844, 476, 273, 328, 476, 277, 6567, 476, 277, 328, 476, 736, 476, 278, 6567, 476, 276, 328, 476, 273, 4267, 547, 4238, 609, 533, 2716, 2338, 2689, 7329, 476, 272, 476, 272, 269, 476, 272, 9534, 543, 12793, 9534, 5890, 5962, 607, 18103, 1229, 623, 4202, 14419, 952, 519, 1739, 1894, 616, 3252, 269, 6452, 584, 2299, 2347, 476, 277, 2042, 538, 1142, 9074, 585, 5149, 476, 275, 290, 4530, 3487, 476, 272, 547, 7118, 476, 279, 2798, 593, 519, 1449, 269, 11929, 8018, 1107, 5890, 11228, 12793, 1107, 5149, 476, 275, 7689, 281, 631, 10135, 476, 274, 21397, 1107, 5729, 7736, 1107, 5623, 4303, 476, 274, 1107, 19590, 476, 274, 543, 476, 275, 1107, 2347, 476, 1001, 276, 10298, 5149, 476, 274, 281, 9664, 689, 476, 274, 21397, 11929, 5623, 9509, 10298, 2407, 2450, 1107, 5149, 476, 274, 5149, 476, 275, 281, 9664, 689, 476, 274, 21397, 11929, 5623, 9509, 10298, 2407, 2450, 1107, 5149, 476, 275, 281, 476, 275, 281, 4518, 585, 4653, 281, 5149, 476, 276, 11929, 8018, 1107, 26344, 5852, 269, 1306, 1053, 2263, 891, 3252, 543, 538, 951, 525, 267, 789, 786, 5635, 3328, 3928, 540, 1689, 269, 10789, 476, 272, 6657, 4530, 8382, 6206, 9534, 1299, 12793, 476, 278, 267, 476, 1691, 5149, 476, 278, 281, 5890, 7859, 1299, 3933, 6706, 338, 476, 279, 267, 476, 1626, 267, 476, 2918, 267, 4029, 5149, 476, 279, 281, 27155, 338, 586, 815, 910, 272, 270, 274, 343, 1341, 476, 276, 589, 568, 519, 2953, 269, 476, 275, 14419, 7787, 543, 1950, 21325, 585, 13392, 4834, 269, 6258, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 8018, 17582, 269, 476, 277, 27155, 543, 21929, 21153, 8017, 269, 25663, 309, 5058, 681, 9569, 3201, 661, 12702, 25972, 12327, 4456, 12195, 2464, 476, 272, 269, 21602, 476, 274, 2271, 549, 4303, 17948, 269, 1403, 519, 2243, 25701, 547, 8880, 29297, 4925, 543, 24275, 7787, 3252, 621, 949, 581, 12943, 538, 2221, 779, 3992, 267, 865, 594, 1544, 547, 2322, 1346, 11735, 543, 2232, 873, 14182, 269, 7490, 798, 782, 960, 593, 513, 5094, 6656, 540, 1957, 269, 901, 1770, 568, 16922, 540, 4245, 538, 799, 1053, 786, 581, 2016, 269, 769, 713, 3992, 267, 594, 723, 5423, 2947, 630, 276, 264, 1806, 547, 948, 596, 2744, 2596, 1620, 593, 875, 547, 1935, 621, 269, 27449, 543, 519, 5149, 17781, 1107, 5384, 547, 16202, 256, 16544, 540, 7464, 10606, 1107, 634, 11957, 540, 7756, 11868, 19648, 538, 10789, 18104, 10025, 12793, 543, 28977, 1107, 7464, 2622, 10241, 21929, 12793, 543, 4256, 28977, 1107, 6828, 11314, 10789, 545, 25285, 8018, 543, 11314, 1107, 631, 5074, 256, 31054, 10789, 476, 273, 11242, 269, 634, 2626, 1883, 568, 3769, 609, 519, 2979, 3211, 607, 621, 568, 2813, 269, 9736, 329, 700, 298, 17315, 303, 339, 309, 320, 309, 678, 306, 274, 19390, 325, 2005, 329, 342, 8575, 297, 337, 271, 324, 301, 772, 4041, 17442, 5425, 269, 22352, 4266, 269, 6096, 543, 8382, 32368, 269, 6145, 519, 8219, 538, 707, 1378, 1560, 267, 1142, 835, 11438, 856, 513, 1808, 1599, 2556, 585, 519, 1591, 547, 7639, 269, 4147, 11872, 543, 6732, 8249, 282, 23448, 6657, 6096, 609, 12226, 282, 11473, 20861, 338, 282, 476, 277, 269, 1107, 272, 476, 271, 476, 272, 3767, 267, 952, 596, 4729, 891, 586, 268, 11161, 936, 519, 1535, 268, 11161, 649, 723, 689, 519, 7938, 571, 5529, 1770, 5858, 267, 649, 1205, 891, 11708, 269, 634, 1871, 540, 586, 568, 835, 1447, 982, 7466, 519, 1871, 540, 1535, 269, 31962, 602, 596, 666, 4194, 4834, 5627, 8454, 676, 1210, 519, 2547, 1455, 14009, 540, 782, 519, 8454, 538, 519, 3830, 269, 476, 278, 547, 476, 1704, 267, 476, 278, 2433, 476, 1704, 267, 543, 476, 278, 476, 1704, 476, 866, 269, 4303, 476, 277, 22718, 28977, 2201, 2659, 13574, 2042, 8382, 6206, 269, 5994, 519, 2281, 607, 513, 20538, 2749, 269, 21929, 4834, 616, 4834, 269, 17992, 725, 1948, 272, 268, 276, 269, 1863, 3381, 4245, 5078, 585, 5441, 10789, 267, 10789, 5623, 267, 28977, 267, 12793, 543, 741, 28977, 267, 12307, 543, 21153, 8017, 267, 27155, 543, 21929, 12793, 267, 5890, 11228, 543, 8298, 15162, 6193, 12793, 267, 7010, 540, 12307, 267, 25627, 267, 10022, 543, 23642, 6706, 14497, 267, 1806, 543, 1900, 676, 1900, 3435, 269, 4530, 5623, 4888, 14684, 2207, 26395, 312, 269, 476, 272, 769, 2091, 543, 17434, 7352, 566, 476, 280, 269, 700, 8018, 676, 918, 25917, 12229, 20941, 12226, 547, 476, 279, 269, 476, 273, 827, 10503, 14759, 607, 3252, 543, 14236, 14461, 5163, 269, 7824, 543, 8382, 6206, 269, 476, 4905, 2073, 8525, 476, 1911, 3848, 5623, 6206, 10417, 6744, 476, 272, 269, 5225, 5491, 721, 607, 5205, 593, 782, 7084, 543, 2626, 1883, 3817, 15545, 14572, 21929, 12307, 269, 7151, 476, 272, 3557, 519, 4110, 543, 3056, 11664, 540, 519, 9971, 1599, 476, 386, 496, 3287, 264, 476, 277, 343, 276, 476, 279, 343, 274, 476, 279, 343, 269, 1403, 596, 723, 8454, 267, 596, 2119, 547, 9004, 873, 676, 14921, 676, 519, 1455, 14009, 269, 21009, 540, 513, 15694, 1315, 1323, 7469, 848, 476, 274, 269, 476, 274, 17006, 1299, 16265, 24219, 21929, 25285, 7689, 476, 275, 269, 2913, 779, 1376, 609, 8691, 269, 6258, 585, 1863, 827, 2979, 267, 1148, 267, 2780, 5752, 267, 9297, 267, 6323, 267, 7998, 267, 7350, 267, 4915, 267, 8804, 267, 1686, 267, 543, 811, 269, 476, 276, 270, 2190, 5623, 630, 26212, 547, 476, 1001, 279, 264, 14066, 11711, 609, 476, 6344, 2689, 2042, 543, 2626, 1883, 693, 519, 1439, 269, 476, 275, 5442, 309, 8991, 292, 674, 7419, 290, 16739, 769, 2091, 9534, 8641, 519, 11201, 585, 1142, 6935, 2630, 630, 1584, 707, 2626, 593, 519, 1482, 3113, 1040, 20796, 16775, 4047, 4953, 26395, 22076, 282, 17992, 725, 476, 273, 269, 476, 273, 9577, 15051, 269, 5623, 21909, 539, 5999, 269, 8074, 6206, 6902, 14330, 5623, 281, 10417, 5623, 533, 696, 282, 5623, 13268, 720, 281, 8562, 983, 18289, 3487, 476, 272, 630, 12585, 6206, 19382, 281, 14330, 6206, 543, 15829, 12226, 267, 9406, 281, 2859, 5489, 841, 14330, 3435, 1040, 476, 280, 264, 14572, 1949, 609, 513, 5276, 543, 513, 13392, 1599, 630, 21196, 476, 273, 264, 476, 1789, 6744, 909, 476, 274, 4825, 26421, 256, 5239, 476, 1001, 275, 6129, 3933, 570, 826, 11205, 774, 340, 29443, 9045, 476, 272, 5623, 476, 273, 5149, 476, 272, 10495, 476, 274, 24956, 545, 10495, 630, 293, 2716, 1043, 1554, 264, 476, 275, 476, 276, 476, 277, 4825, 26421, 630, 293, 2716, 1043, 1554, 1040, 4635, 12307, 1677, 16534, 6478, 10819, 8018, 717, 2088, 14355, 269, 5623, 8018, 25663, 308, 16739, 17832, 269, 589, 530, 476, 278, 288, 592, 297, 331, 337, 561, 337, 7257, 7666, 327, 278, 339, 9749, 304, 7054, 476, 273, 324, 277, 338, 8722, 271, 337, 291, 341, 289, 5271, 323, 273, 269, 8745, 281, 21718, 3198, 14684, 2207, 26395, 312, 8018, 476, 272, 281, 17291, 20668, 540, 16594, 4460, 840, 6570, 531, 2453, 609, 630, 15426, 634, 3113, 540, 513, 1599, 269, 32516, 5174, 312, 4211, 295, 22790, 4888, 14684, 2207, 26395, 312, 32516, 476, 272, 4888, 14684, 8991, 11123, 5990, 631, 8085, 2316, 303, 4041, 8863, 302, 21201, 32530, 16739, 476, 272, 269, 476, 277, 5623, 8018, 8525, 476, 276, 540, 476, 276, 16534, 519, 1739, 9971, 4834, 585, 782, 1950, 3435, 269, 8641, 532, 513, 9577, 538, 476, 1220, 273, 7147, 29698, 11819, 11872, 476, 276, 268, 279, 12430, 7010, 281, 4635, 28977, 1299, 23959, 269, 5851, 5149, 476, 272, 5149, 476, 273, 5149, 476, 274, 5149, 476, 275, 5149, 476, 276, 5149, 476, 277, 5149, 476, 278, 5149, 476, 279, 5149, 476, 280, 5149, 476, 1015, 5149, 476, 1556, 476, 272, 560, 12054, 6856, 15937, 5623, 269, 15531, 6215, 656, 1306, 2096, 696, 4925, 540, 21929, 12793, 554, 269, 7490, 798, 782, 960, 593, 513, 5094, 6656, 540, 1957, 269, 476, 272, 9534, 543, 12793, 9534, 5890, 5962, 607, 18103, 1229, 623, 4202, 14419, 952, 519, 1739, 1894, 616, 3252, 269, 8018, 476, 273, 269, 8921, 910, 10789, 4083, 21602, 476, 274, 1358, 8831, 519, 6389, 540, 12825, 3252, 547, 519, 3003, 1483, 1899, 630, 301, 7304, 301, 269, 476, 277, 4817, 5998, 10774, 337, 476, 273, 269, 476, 2412, 278, 268, 275, 1240, 3848, 12834, 533, 269, 476, 273, 6657, 8018, 2859, 8641, 532, 26344, 6248, 12793, 8018, 12226, 27116, 476, 276, 269, 4855, 519, 8700, 540, 513, 13551, 952, 922, 3259, 568, 476, 276, 811, 982, 519, 8700, 543, 922, 15943, 568, 476, 3445, 4699, 269, 2991, 789, 723, 5941, 741, 4555, 267, 723, 873, 3113, 519, 1599, 593, 741, 26732, 269, 6657, 4530, 4813, 645, 8382, 6206, 269, 21929, 4834, 616, 4834, 269, 476, 280, 264, 14572, 1949, 609, 513, 5276, 543, 513, 13392, 1599, 630, 21196, 476, 273, 264, 476, 1789, 6744, 909, 476, 274, 4825, 26421, 256, 5239, 476, 1001, 275, 6129, 3933, 570, 826, 11205, 774, 340, 29443, 9045, 476, 272, 5623, 476, 273, 5149, 476, 272, 10495, 476, 274, 24956, 545, 10495, 630, 293, 2716, 1043, 1554, 264, 476, 275, 476, 276, 476, 277, 4825, 26421, 630, 293, 2716, 1043, 1554, 1040, 634, 3961, 1599, 269, 5564, 28745, 543, 12270, 9097, 269, 8641, 532, 9577, 4530, 269, 901, 1025, 984, 814, 2527, 543, 513, 3432, 267, 865, 649, 666, 5173, 922, 15452, 1648, 269, 476, 955, 268, 9172, 9955, 281, 272, 320, 9984, 3066, 267, 476, 272, 321, 264, 1626, 267, 476, 272, 322, 9984, 1321, 267, 476, 272, 323, 264, 2537, 267, 476, 272, 324, 264, 1321, 14370, 320, 266, 272, 1070, 476, 272, 325, 9984, 274, 321, 268, 274, 322, 266, 272, 267, 476, 272, 327, 264, 1535, 15871, 276, 267, 476, 272, 328, 264, 1535, 15871, 278, 267, 476, 272, 329, 264, 1535, 284, 910, 275, 543, 476, 275, 267, 476, 273, 264, 476, 274, 264, 476, 275, 264, 476, 276, 320, 264, 476, 273, 267, 476, 276, 321, 264, 271, 267, 476, 276, 322, 9984, 272, 269, 4419, 306, 12522, 543, 519, 4419, 306, 12522, 269, 6096, 616, 8641, 532, 7787, 267, 476, 280, 7787, 3252, 1740, 267, 4518, 7787, 3252, 267, 1306, 2096, 696, 4925, 543, 9475, 24275, 7787, 3252, 267, 2776, 322, 1321, 7787, 3252, 2012, 960, 267, 14572, 7787, 4834, 267, 8641, 532, 513, 7787, 1599, 267, 476, 1015, 2979, 476, 7906, 3498, 2042, 609, 7787, 7215, 269, 2776, 20412, 639, 1377, 476, 273, 269, 11638, 13109, 540, 24306, 476, 277, 269, 28217, 290, 1321, 21929, 12793, 8745, 281, 21718, 8018, 4888, 14684, 2207 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1677, 3035, 9355, 9624, 1761, 10848, 267, 649, 15974, 513, 2185, 17376, 784, 539, 1935, 281, 13754, 1944, 4030, 267, 24152, 7687, 267, 7234, 6286, 267, 543, 11021, 2104, 8846, 780, 272, 269, 16522, 1127, 1944, 29362, 281, 8528, 2304, 3759, 20160, 631, 14641, 1867, 1590, 1253, 650, 5318, 9424, 540, 6151, 1239, 883, 7558, 1043, 1491, 25498, 269, 9828, 899, 21044, 2079, 666, 581, 15747, 1934, 267, 7175, 3173, 547, 2697, 18596, 3270, 1369, 12007, 1344, 269, 3958, 267, 11050, 9382, 949, 28173, 10427, 2553, 899, 7293, 3830, 9781, 610, 1617, 21725, 9695, 267, 4470, 593, 519, 2470, 540, 6394, 1239, 543, 6859, 540, 519, 1353, 269, 17859, 540, 6074, 10763, 11444, 267, 2164, 7664, 7569, 1085, 14442, 592, 748, 3007, 547, 1469, 267, 4180, 12972, 609, 3312, 19165, 1247, 6967, 32615, 547, 27644, 8906, 780, 273, 269, 4934, 23164, 7799, 14591, 1384, 9336, 4062, 540, 1382, 12217, 1978, 10148, 267, 2436, 789, 6565, 689, 10386, 12886, 267, 6482, 6959, 267, 610, 824, 2959, 540, 4835, 14496, 6937, 269, 23779, 540, 971, 28919, 11942, 7214, 21548, 267, 7393, 17258, 676, 11744, 11413, 269, 5015, 267, 14344, 9993, 2636, 2230, 585, 4244, 12496, 267, 5732, 26354, 19929, 1472, 896, 13231, 1221, 2127, 543, 20872, 27715, 540, 4540, 26336, 269, 4935, 267, 950, 26004, 707, 631, 14641, 1867, 267, 25058, 1813, 7156, 547, 19286, 908, 1022, 11402, 9465, 1282, 519, 1382, 1184, 780, 274, 269, 9181, 532, 20480, 1384, 19741, 9306, 10230, 4093, 543, 21370, 12383, 267, 3811, 631, 14641, 5359, 5490, 4514, 883, 4052, 29298, 269, 1635, 16046, 7493, 4681, 1394, 547, 1483, 8996, 8658, 267, 4589, 20838, 10083, 543, 6536, 31675, 269, 1280, 3236, 267, 952, 14236, 7082, 7375, 2509, 10357, 7888, 2472, 267, 835, 1522, 1921, 8753, 547, 6626, 2825, 27964, 267, 5356, 15889, 7840, 585, 4213, 20678, 547, 2569, 3327, 29066, 1510, 27531, 20656, 269, 6270, 5717, 8115, 7811, 10616, 267, 1818, 1382, 3015, 547, 19995, 2950, 945, 24903, 1796, 547, 2744, 1034, 2047, 689, 4294, 2090, 780, 275, 269, 21909, 532, 8892, 19648, 1384, 15563, 267, 25759, 6810, 2709, 3255, 547, 1179, 3634, 827, 23257, 1819, 11182, 22691, 585, 14374, 269, 3371, 267, 3173, 666, 24370, 1125, 3209, 3515, 540, 15819, 267, 2303, 5499, 27696, 4485, 267, 610, 12167, 585, 9450, 14449, 5827, 540, 27283, 9597, 5652, 3344, 540, 4207, 6990, 269, 1306, 6725, 8916, 11457, 6385, 267, 9363, 32448, 540, 28928, 3466, 5849, 13455, 9304, 1369, 24243, 543, 2872, 7567, 269, 4475, 267, 4464, 23302, 6898, 4196, 12242, 5301, 281, 4412, 2454, 4610, 4464, 543, 11121, 1985, 5481, 540, 5640, 543, 4648, 780, 14945, 2414, 973, 777, 527, 3634, 267, 14335, 606, 26374, 631, 14641, 1867, 3340, 811, 982, 6071, 6881, 540, 5515, 282, 2864, 267, 621, 3322, 15826, 1225, 566, 540, 4030, 267, 8521, 2431, 1145, 3823, 7687, 267, 16135, 3498, 540, 7811, 2035, 267, 543, 22509, 697, 7282, 17053, 7835, 269, 1520, 11447, 547, 891, 3741, 19411, 919, 538, 7347, 6054, 2215, 539, 585, 23425, 2066, 3309, 3988, 4721, 267, 6038, 14027, 938, 7104, 8223, 540, 2479, 6879, 14823, 2344, 6384, 269, 0, 8620, 606, 1349, 540, 513, 3621, 4760, 2376, 585, 1412, 7468, 514, 3321, 540, 16373, 3299, 3358, 585, 4648, 543, 3173, 593, 519, 1888, 563, 2171, 616, 1603, 593, 3184, 1412, 8139, 519, 10369, 2897, 8339, 769, 1880, 267, 3296, 1412, 3721, 338, 538, 513, 21988, 16373, 3194, 4643, 262, 540, 1412, 15812, 7566, 3194, 543, 10369, 11106, 262, 851, 269, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 8624, 937, 519, 4578, 3299, 1412, 15675, 519, 4578, 14635, 6396, 8339, 3503, 513, 1007, 1770, 11331, 1412, 7093, 6768, 519, 3194, 7797, 262, 780, 763, 2511, 1058, 11604, 602, 540, 513, 14046, 8313, 267, 711, 1153, 9499, 267, 17935, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 269, 8347, 547, 1384, 268, 10558, 4359, 6436, 267, 1210, 2930, 543, 4081, 1893, 563, 268, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 267, 609, 513, 2143, 6514, 540, 12170, 1239, 543, 8579, 16097, 563, 268, 634, 2376, 1058, 2992, 519, 3178, 543, 6988, 540, 1543, 1336, 538, 1283, 2389, 1512, 9297, 13746, 267, 5497, 585, 513, 3988, 1222, 7184, 31737, 538, 519, 2361, 563, 268, 1684, 711, 1039, 2097, 909, 609, 8100, 610, 1039, 873, 693, 519, 1439, 540, 519, 2376, 269, 1403, 972, 616, 6310, 7215, 946, 513, 2953, 17623, 311, 11249, 543, 798, 711, 946, 2592, 269, 0, 3848, 7170, 281, 11374, 2290, 781, 32425, 281, 26179, 715, 30964, 781, 20154, 17714, 692, 293, 3072, 5341, 715, 30964, 5030, 1282, 519, 2034, 3368, 540, 519, 13524, 2540, 267, 950, 1082, 1390, 8906, 543, 2242, 3576, 1747, 1472, 519, 1158, 269, 1261, 729, 4535, 538, 1018, 568, 1631, 5125, 543, 2968, 835, 540, 922, 1034, 4583, 17024, 543, 5830, 269, 1717, 267, 7429, 824, 5640, 945, 6170, 741, 2729, 3450, 538, 3506, 543, 12621, 267, 715, 30964, 8359, 513, 1114, 2619, 1107, 835, 602, 3366, 1864, 998, 10239, 267, 4872, 267, 543, 6038, 267, 883, 1010, 1378, 2247, 269, 901, 3184, 786, 2263, 715, 30964, 781, 5289, 3460, 267, 6029, 875, 646, 9927, 689, 513, 2757, 16159, 883, 513, 29412, 14544, 945, 20402, 2486, 781, 2418, 543, 4978, 780, 301, 30964, 8057, 909, 609, 513, 6612, 585, 1565, 827, 3504, 4529, 899, 10255, 543, 7507, 269, 1306, 513, 2875, 267, 646, 22002, 713, 1719, 2417, 267, 5555, 4742, 513, 7548, 540, 8106, 15599, 1108, 9789, 1353, 540, 3504, 4654, 543, 3332, 1765, 520, 519, 1762, 2085, 540, 8938, 21144, 256, 2755, 930, 1004, 1522, 723, 1044, 6126, 9363, 538, 971, 513, 2990, 585, 1296, 267, 715, 30964, 5433, 1964, 1652, 543, 1032, 2740, 585, 1945, 811, 780, 5331, 1373, 865, 8049, 543, 27093, 602, 9361, 538, 513, 4928, 1169, 1554, 3085, 1405, 14183, 596, 15042, 269, 1411, 1616, 547, 1294, 1007, 4025, 267, 2743, 4277, 1004, 267, 543, 1995, 1272, 3564, 1175, 2542, 827, 621, 538, 2025, 2835, 269, 2334, 781, 4010, 875, 715, 30964, 5433, 269, 1924, 267, 1310, 1896, 1296, 540, 3450, 267, 646, 4956, 547, 4734, 3297, 1010, 4081, 4876, 543, 7832, 593, 606, 9058, 7045, 2066, 2342, 780, 2690, 519, 1985, 4557, 1296, 267, 715, 30964, 14612, 1394, 543, 8521, 1063, 16848, 543, 7977, 267, 4466, 6667, 538, 519, 18198, 8916, 540, 519, 32595, 543, 519, 7524, 2528, 2059, 519, 11335, 5032, 269, 4438, 891, 12599, 267, 646, 5206, 3875, 14262, 10952, 1568, 602, 13934, 2442, 5784, 593, 13919, 267, 4984, 267, 543, 5168, 269, 2368, 540, 1010, 8037, 12591, 1331, 1412, 13295, 1975, 5803, 2098, 541, 987, 755, 571, 10086, 1412, 19741, 6153, 543, 5345, 559, 10086, 543, 1412, 4002, 519, 2637, 7002, 9609, 540, 5651, 1023, 9538, 1452, 2835, 1642, 1386, 2620, 883, 1480, 2470, 267, 15819, 6848, 8155, 543, 28409, 3988, 547, 556, 24834, 10663, 741, 1620, 540, 1318, 543, 4636, 780, 4913, 267, 715, 30964, 781, 1391, 7012, 1405, 2141, 2653, 269, 13966, 2515, 8090, 540, 7096, 5813, 3357, 5712, 540, 4057, 2168, 543, 2790, 1072, 269, 898, 729, 3592, 607, 952, 1010, 29287, 13287, 540, 7326, 1185, 3144, 513, 17167, 593, 1010, 1560, 543, 2247, 269, 8616, 267, 5103, 6849, 14488, 267, 715, 30964, 829, 572, 30099, 267, 9141, 676, 606, 1202, 520, 4192, 7279, 543, 8990, 547, 10625, 519, 13655, 540, 6228, 780, 3080, 4241, 2460, 540, 715, 30964, 781, 6138, 568, 1010, 2856, 540, 834, 564, 1716, 531, 24088, 2437, 799, 5267, 602, 3388, 538, 938, 2729, 4523, 936, 543, 936, 1586, 28222, 269, 6056, 827, 707, 5172, 7260, 610, 1433, 282, 9327, 1405, 621, 581, 5863, 952, 596, 1223, 4585, 610, 1224, 621, 1439, 8393, 286, 1809, 715, 30964, 4294, 713, 1523, 547, 782, 3344, 540, 1272, 267, 1256, 1346, 649, 949, 1265, 2352, 610, 11213, 269, 1635, 8508, 18163, 24088, 267, 646, 24016, 721, 547, 2661, 6461, 1227, 543, 2898, 27329, 569, 1317, 1169, 4090, 1131, 10956, 3294, 11014, 780, 307, 578, 1841, 519, 1439, 540, 1010, 11327, 1974, 267, 715, 30964, 4810, 513, 4049, 2790, 15059, 543, 6170, 519, 14230, 540, 1010, 2395, 538, 694, 2424, 2394, 1010, 2669, 538, 476, 5002, 271, 269, 9282, 1010, 1650, 814, 513, 8909, 10678, 267, 972, 616, 3407, 4245, 547, 1451, 689, 1010, 6909, 3460, 780, 9617, 899, 715, 30964, 267, 1142, 835, 540, 721, 4422, 998, 938, 2189, 5289, 15322, 4904, 609, 23538, 543, 7140, 269, 6884, 267, 649, 588, 18443, 2390, 2591, 602, 1449, 938, 8207, 267, 1247, 824, 2053, 267, 649, 7237, 3255, 602, 4412, 601, 721, 4464, 2509, 1582, 22523, 269, 3143, 2339, 1141, 1272, 3217, 721, 267, 1577, 781, 3314, 547, 9784, 1689, 12703, 569, 543, 1246, 938, 18653, 4250, 8393, 267, 1175, 607, 26179, 715, 30964, 1705, 2429, 1010, 7415, 1272, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2135, 5112, 1158, 779, 27825, 454, 4488, 4753, 670, 6865, 302, 26179, 715, 30964, 630, 7277, 275, 1700, 5002, 271, 264, 729, 4535, 538, 681, 7238, 1188, 523, 267, 29017, 3415, 267, 543, 13473, 693, 519, 9945, 540, 12844, 333, 543, 2274, 760, 345, 580, 269, 2311, 519, 2085, 540, 1152, 476, 2190, 646, 729, 12912, 7905, 540, 18190, 5845, 1108, 693, 519, 2160, 540, 5178, 548, 267, 855, 12675, 536, 8083, 540, 2192, 1072, 7142, 1864, 547, 29997, 689, 1010, 2022, 538, 476, 6942, 280, 269, 3683, 519, 1985, 8717, 646, 9505, 339, 1194, 1063, 519, 18230, 32595, 543, 519, 11335, 5032, 267, 1821, 7627, 5128, 7357, 547, 3206, 543, 1603, 269, 3571, 2038, 2835, 543, 30732, 7410, 630, 763, 17510, 540, 3004, 3022, 344, 267, 772, 660, 830, 569, 2405, 14591, 264, 941, 8185, 538, 23807, 480, 340, 10642, 676, 25538, 1676, 543, 5576, 13449, 327, 21516, 267, 855, 689, 5274, 267, 2353, 18320, 5274, 630, 6942, 279, 264, 593, 267, 1010, 2219, 3459, 547, 1020, 811, 10446, 267, 543, 646, 3370, 513, 3126, 540, 2666, 31771, 10952, 1568, 630, 763, 22985, 3163, 267, 4935, 1975, 5803, 2098, 541, 987, 755, 571, 267, 15332, 6153, 543, 5345, 559, 267, 2201, 519, 2637, 7002, 9609, 540, 5651, 1023, 264, 799, 19411, 730, 538, 513, 535, 1066, 5414, 540, 2504, 538, 519, 14656, 3275, 540, 476, 6642, 279, 269, 769, 5130, 476, 6642, 280, 715, 30964, 647, 23807, 478, 1229, 513, 2790, 15059, 689, 799, 646, 729, 2760, 547, 9156, 267, 606, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 2869, 3770, 4260, 7958, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 6490, 7546, 338, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 11910, 19973, 267, 1419, 5219, 547, 607, 519, 968, 6665, 783, 1148, 540, 519, 11453, 2223, 814, 1044, 606, 7533, 851, 540, 4457, 2528, 585, 5553, 269, 634, 5898, 543, 25894, 540, 30951, 723, 1500, 621, 3810, 15197, 543, 25343, 1312, 1369, 543, 3544, 540, 3624, 269, 901, 1576, 1770, 12538, 883, 519, 3140, 4644, 267, 4720, 267, 2553, 267, 543, 2413, 10083, 540, 4457, 30951, 780, 296, 269, 8466, 19043, 543, 12472, 454, 24336, 30951, 7389, 1394, 547, 519, 1744, 836, 15913, 630, 322, 269, 476, 8182, 271, 1700, 10441, 277, 14514, 1070, 1141, 2038, 3029, 941, 4362, 593, 522, 20432, 7633, 1031, 585, 2820, 1588, 5301, 269, 3683, 942, 267, 30951, 7960, 7258, 519, 1646, 540, 4457, 1603, 1949, 267, 5555, 4742, 606, 4830, 1148, 1106, 676, 519, 12390, 15913, 630, 18684, 14514, 1107, 476, 13136, 9460, 1040, 10801, 1686, 267, 900, 30752, 543, 5640, 7567, 723, 26060, 713, 15568, 4739, 1813, 547, 922, 2702, 547, 6655, 4664, 543, 6891, 998, 5714, 18116, 543, 3515, 780, 2862, 269, 9828, 543, 26505, 454, 2467, 616, 2185, 3119, 20072, 538, 2757, 4457, 30951, 281, 13021, 7097, 267, 804, 518, 673, 7097, 267, 2834, 7097, 267, 543, 4881, 7097, 269, 3962, 1826, 19299, 2189, 4162, 267, 8482, 1931, 267, 543, 3498 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 942, 267, 2230, 267, 543, 30729, 540, 5107, 563, 2252, 596, 616, 936, 1740, 539, 267, 25356, 267, 543, 2141, 4758, 547, 1866, 267, 513, 838, 320, 4266, 666, 2709, 942, 547, 13951, 563, 2252, 596, 616, 1031, 547, 1373, 519, 575, 1853, 267, 621, 666, 581, 11212, 7067, 547, 581, 593, 519, 8391, 1439, 267, 2436, 621, 568, 8391, 513, 18552, 267, 513, 16138, 5109, 7594, 267, 610, 3274, 8391, 2576, 779, 2407, 3007, 543, 4527, 269, 1280, 1004, 945, 960, 538, 513, 3028, 15129, 3924, 267, 8391, 568, 513, 2629, 851, 540, 9363, 7059, 269, 769, 1249, 267, 8391, 543, 4758, 616, 1312, 7215, 540, 519, 2067, 2095, 540, 1272, 1648, 269, 1280, 1034, 2021, 945, 616, 4356, 18050, 543, 31411, 547, 2285, 267, 8391, 29454, 689, 1776, 666, 581, 513, 10516, 7429, 1022, 824, 563, 22709, 720, 543, 824, 2010, 540, 1560, 1740, 666, 849, 581, 606, 1271, 1840, 547, 513, 8149, 1753, 2259, 269, 1703, 568, 1100, 12990, 585, 519, 7067, 1379, 540, 5905, 543, 519, 4743, 540, 606, 4810, 19995, 945, 666, 2150, 773, 519, 25418, 538, 938, 6091, 543, 3673, 807, 267, 948, 721, 9156, 689, 7063, 267, 543, 7618, 519, 1560, 540, 1018, 1072, 7959, 899, 563, 1103, 4334, 267, 1582, 23949, 592, 7217, 2238, 2709, 513, 10151, 12257, 602, 568, 3908, 547, 6000, 269, 589, 29413, 9702, 568, 1390, 855, 949, 4324, 1175, 721, 267, 6466, 513, 9066, 2259, 602, 12406, 721, 538, 9350, 1145, 2640, 721, 267, 938, 4891, 267, 938, 1453, 267, 938, 1920, 267, 543, 938, 2146, 563, 1103, 4156, 25966, 269, 24498, 454, 10890, 814, 1312, 4835, 543, 5007, 3334, 269, 5900, 2056, 547, 519, 4835, 568, 971, 606, 1271, 851, 540, 1582, 13282, 269, 901, 568, 1776, 3017, 1063, 1018, 30193, 1582, 13282, 689, 1582, 23949, 592, 10885, 563, 20236, 13282, 2853, 616, 3622, 24323, 15129, 269, 2398, 520, 344, 1695, 541, 267, 519, 5373, 540, 519, 2631, 8219, 27808, 267, 568, 606, 1898, 18215, 540, 10649, 543, 568, 519, 3017, 1063, 3635, 543, 607, 3570, 563, 2026, 3570, 3322, 606, 4835, 5057, 13296, 938, 4656, 568, 9859, 27808, 543, 711, 14311, 21286, 269, 8682, 23949, 592, 7217, 2238, 616, 267, 538, 2489, 267, 14311, 21286, 543, 666, 581, 5920, 15129, 269, 717, 3336, 532, 543, 512, 2056, 547, 938, 5920, 568, 1271, 267, 855, 621, 568, 711, 519, 1482, 607, 4656, 267, 9637, 267, 543, 11009, 267, 782, 540, 799, 1331, 4835, 1436, 540, 938, 1272, 20589, 269, 11109, 938, 18969, 2944, 543, 3478, 513, 1390, 688, 1844, 583, 949, 3565, 547, 4743, 4190, 267, 855, 621, 568, 1100, 12990, 585, 9758, 1582, 12635, 267, 799, 2501, 689, 1369, 269, 966, 2728, 532, 938, 7907, 267, 938, 5898, 267, 1983, 267, 543, 7221, 5932, 513, 2234, 4800, 602, 666, 1406, 581, 9676, 538, 513, 3068, 2407, 540, 17539, 563, 309, 2728, 532, 938, 7907, 267, 938, 5898, 267, 1983, 267, 543, 7221, 5932, 513, 2234, 4800, 602, 666, 1406, 581, 9676, 538, 513, 3068, 2407, 540, 17539, 563, 4407, 10229, 15055, 547, 18609, 721, 6382, 267, 5898, 2472, 616, 1175, 2472, 269, 25925, 1281, 711, 2097, 689, 513, 11480, 540, 5748, 282, 621, 2501, 689, 606, 6418, 16657, 543, 2234, 4800, 269, 10705, 713, 2234, 4800, 568, 519, 1267, 540, 1296, 540, 6418, 960, 543, 7004, 269, 901, 568, 519, 3791, 3017, 1063, 1582, 13282, 543, 1582, 23949, 592, 10885, 269, 8682, 13282, 2853, 616, 6038, 827, 7004, 563, 303, 548, 5501, 25966, 269, 26306, 454, 20236, 13282, 2853, 899, 10649, 267, 9066, 267, 543, 6857, 7244, 9153, 7004, 269, 594, 666, 1140, 652, 547, 713, 5168, 269, 18639, 814, 2016, 803, 2168, 1072, 543, 814, 9927, 803, 689, 519, 3330, 856, 269, 901, 7004, 568, 519, 14952, 543, 27803, 540, 5289, 2259, 602, 10741, 721, 909, 547, 513, 3152, 1761, 3330, 602, 568, 3564, 1018, 649, 4076, 1044, 6026, 547, 3494, 827, 6000, 563, 2026, 649, 8774, 519, 6106, 540, 938, 2250, 543, 32436, 4978, 602, 649, 723, 15110, 267, 649, 616, 2111, 547, 2661, 609, 9837, 267, 9355, 267, 543, 3483, 269, 1879, 938, 3527, 616, 12082, 538, 7881, 543, 8699, 267, 649, 616, 2111, 547, 2981, 4948, 2833, 883, 3255, 585, 2123, 543, 5289, 2208, 269, 901, 3217, 11428, 543, 5812, 4674, 269, 26306, 10355, 2501, 1510, 9636, 563, 1103, 4334, 267, 1582, 23949, 592, 7217, 2238, 616, 5418, 553, 9092, 269, 1656, 267, 950, 519, 12257, 7475, 267, 649, 616, 4010, 1141, 649, 3323, 269, 8682, 13282, 2853, 1491, 721, 593, 606, 6418, 3460, 602, 2591, 267, 2242, 267, 543, 21810, 945, 649, 616, 689, 519, 3330, 856, 563, 7661, 267, 1582, 13282, 512, 2355, 883, 938, 6418, 2200, 281, 938, 2702, 547, 10038, 938, 4664, 267, 6521, 2634, 2829, 267, 543, 1847, 938, 929, 3570, 689, 938, 9843, 547, 938, 12271, 269, 12213, 7244, 12153, 519, 11005, 3210, 543, 666, 948, 6521, 721, 689, 513, 18325, 2634, 1533, 883, 606, 13672, 610, 2620, 11005, 2634, 1533, 269, 634, 2702, 547, 6521, 938, 2634, 6329, 883, 513, 14887, 11733, 666, 948, 721, 1569, 938, 20932, 267, 7326, 267, 543, 5876, 563, 20236, 23949, 592, 7217, 2238, 949, 948, 721, 1745, 17159, 267, 855, 789, 798, 711, 1683, 519, 2645, 547, 1569, 11005, 593, 938, 1378, 269, 18639, 2175, 519, 1560, 9308, 267, 15508, 267, 543, 14156, 267, 18363, 711, 1152, 519, 6091, 267, 10549, 267, 543, 8031, 855, 849, 519, 8401, 1062, 267, 15374, 267, 543, 2634, 269, 634, 10569, 547, 14237, 1114, 2829, 540, 9637, 899, 2620, 11005, 267, 14955, 6463, 2648, 267, 543, 7067, 693, 519, 32436, 1377, 616, 782, 851, 540, 1582, 13282, 2853, 899, 10649, 543, 9066, 563, 2080, 616, 513, 1906, 540, 519, 1582, 13282, 2853, 602, 594, 946, 5781, 547, 948, 803, 7148, 883, 1250, 6418, 2200, 543, 11349, 513, 2631, 540, 6418, 9350, 543, 4708, 912, 20236, 4211, 732, 27450, 6657, 454, 6524, 596, 2253, 707, 1554, 267, 1118, 513, 16138, 5109, 4235, 267, 1694, 1524, 267, 543, 1491, 942, 547, 23249, 543, 2992, 563, 9743, 15297, 281, 9105, 519, 2243, 267, 1018, 666, 594, 798, 2221, 547, 16138, 880, 803, 9308, 267, 14156, 267, 10069, 13443, 267, 543, 32375, 286, 7994, 835, 3364, 689, 707, 2626, 543, 3479, 547, 20319, 621, 883, 707, 1554, 563, 16485, 281, 1018, 666, 594, 798, 2221, 547, 16138, 880, 803, 9308, 267, 14156, 267, 10069, 13443, 267, 543, 32375, 286, 1315, 17421, 676, 774, 558, 29385, 454, 20236, 4211, 732, 11068, 28233, 6744, 24493, 454, 1103, 519, 1647, 540, 707, 1554, 267, 1491, 513, 476, 1015, 18826, 942, 13050, 547, 23249, 543, 581, 1869, 269, 769, 519, 4832, 5503, 267, 594, 899, 547, 1694, 3544, 267, 1745, 519, 3636, 24106, 593, 1250, 2960, 267, 543, 1577, 1250, 2247, 32603, 1247, 594, 3251, 18906, 633, 547, 1250, 7362, 269, 1879, 519, 4365, 568, 4411, 267, 594, 1118, 513, 7484, 540, 7401, 543, 1694, 593, 1250, 2713, 4055, 4172, 577, 267, 543, 22401, 856, 519, 6885, 563, 9743, 15297, 281, 4855, 513, 6899, 1747, 547, 1694, 269, 18564, 707, 1694, 345, 7633, 543, 1745, 3054, 23928, 883, 707, 1560, 269, 18461, 12082, 543, 4448, 547, 519, 3047, 9944, 596, 269, 18461, 707, 4295, 543, 519, 6617, 540, 707, 10652, 6665, 543, 12636, 269, 18564, 519, 11375, 1446, 543, 17938, 1446, 540, 707, 7362, 543, 519, 3350, 540, 7362, 538, 519, 17737, 269, 4039, 1314, 707, 1394, 6091, 543, 1745, 513, 2631, 540, 17666, 998, 519, 12636, 269, 1924, 19924, 519, 6091, 538, 707, 3068, 269, 5590, 1479, 883, 707, 2295, 543, 581, 18906, 633, 547, 8726, 14340, 269, 2913, 707, 7362, 19671, 596, 538, 519, 1459, 4090, 269, 2142, 18906, 633, 547, 1141, 707, 2247, 18389, 619, 543, 1018, 596, 1745, 14156, 543, 10069, 13443, 563, 20236, 4211, 732, 715, 4774, 6657, 454, 6624, 1296, 3516, 267, 594, 4121, 513, 2259, 547, 948, 7938, 785, 693, 519, 1439, 540, 519, 1554, 267, 547, 11753, 543, 1184, 782, 519, 2833, 540, 1250, 1554, 267, 543, 547, 5965, 585, 3207, 563, 9743, 15297, 281, 1306, 596, 9114, 1524, 267, 5469, 707, 7362, 269, 14190, 707, 7244, 547, 3500, 1524, 865, 602, 596, 1745, 17159, 269, 4032, 476, 1015, 3500, 24967, 267, 3850, 585, 513, 23249, 1063, 1142, 7362, 269, 4495, 596, 1745, 17159, 543, 693, 8897, 267, 11291, 547, 707, 2247, 519, 2063, 2534, 540, 707, 1554, 543, 960, 998, 707, 1554, 23651, 2394, 596, 3914, 519, 4090, 540, 24971, 909, 269, 18564, 519, 4606, 543, 4555, 602, 8451, 269, 5901, 4947, 1394, 547, 519, 8142, 540, 2324, 23651, 998, 707, 1554, 2394, 519, 4090, 540, 24971, 909, 538, 519, 6640, 563, 4322, 2853, 666, 948, 596, 3715, 513, 1582, 13282, 6296, 602, 20555, 596, 593, 782, 2157, 269, 634, 1883, 568, 547, 798, 873, 5781, 2336, 4407, 594, 2648, 547, 1433, 838, 320, 7389, 609, 1250, 8004, 23136, 543, 32696, 538, 29413, 6980, 267, 1582, 13282, 12738, 267, 543, 2853, 899, 10649, 543, 9066, 16138, 880, 803, 538, 2081, 602, 10217, 543, 1795, 10118, 666, 1406, 269, 14856, 10217, 3947, 803, 513, 7904, 7566, 4090, 540, 12257, 267, 1247, 4189, 513, 16138, 5109, 267, 27357, 7594, 2488, 803, 609, 4492, 2429, 1250, 1554, 563, 288, 3232, 5812, 2259, 568, 899, 513, 16138, 5109, 7594, 269, 3733, 2259, 16138, 8460, 803, 593, 782, 2157, 543, 2488, 803, 609, 513, 7123, 267, 5812, 2707, 540, 1648, 269, 3962, 1554, 602, 594, 3442, 621, 267, 621, 16138, 8460, 803, 269, 898, 19595, 803, 540, 519, 1913, 540, 962, 690, 328, 9040, 328, 670, 926, 667, 817, 267, 968, 2252, 596, 960, 593, 10649, 267, 707, 10649, 786, 960, 593, 596, 3034, 293, 23022, 9294, 541, 8932, 568, 513, 10649, 18191, 6064, 773, 269, 2701, 814, 2620, 2648, 543, 6612, 585, 782, 1919, 10649, 268, 607, 3570, 267, 16051, 571, 267, 737, 7398, 534, 267, 562, 573, 571, 267, 521, 1846, 836, 267, 543, 519, 27659, 6652, 269, 1879, 1352, 779, 711, 593, 519, 1319, 267, 1352, 779, 2870, 7044, 267, 6721, 27143, 267, 610, 10647, 737, 1301, 545, 6901, 1210, 519, 9304, 540, 2648, 269, 2701, 2729, 609, 835, 3723, 16119, 538, 519, 3059, 7706, 543, 519, 824, 3723, 12082, 538, 7186, 267, 2067, 18819, 267, 543, 519, 19957, 1761, 1369, 519, 1480, 2295, 563, 312, 7541, 865, 582, 1127, 543, 29915, 919, 267, 543, 621, 2337, 721, 2259, 11009, 607, 649, 1332, 6793, 269, 1677, 7148, 883, 519, 2186, 540, 2318, 1648, 602, 10649, 6770, 267, 649, 991, 547, 1589, 827, 811, 982, 1175, 875, 649, 1847, 269, 1284, 723, 547, 2628, 3007, 547, 519, 11733, 540, 938, 7244, 267, 519, 5790, 267, 543, 938, 4664, 269, 1284, 991, 547, 3142, 873, 538, 3666, 269, 1809, 875, 4010, 666, 649, 798, 602, 286, 1635, 1210, 2575, 269, 8535, 6770, 10103, 547, 1272, 269, 898, 3947, 721, 1346, 1614, 1883, 5820, 602, 649, 991, 281, 11733, 267, 5790, 267, 543, 3929, 4276, 602, 666, 21592, 10649, 689, 513, 6071, 15904, 547, 513, 5963, 7096, 1995, 269, 3371, 779, 875, 547, 1711, 707, 1378, 3501, 10649, 1404, 4289, 563, 13706, 519, 942, 540, 1554, 454, 29409, 940, 10649, 568, 2356, 5921, 547, 10069, 1125, 596, 543, 1205, 596, 2469, 267, 1247, 513, 30148, 6296, 1522, 581, 6322, 693, 11005, 269, 5455, 18566, 2575, 1522, 711, 581, 513, 1390, 2856, 952, 596, 2461, 3843, 547, 1577, 8082, 979, 543, 865, 6139, 707, 2247, 2614, 547, 948, 596, 3207, 1310, 513, 15904, 269, 29114, 528, 707, 1404, 4289, 547, 519, 942, 540, 1554, 543, 519, 3804, 596, 2461, 3843, 547, 9585, 609, 707, 15904, 269, 14190, 519, 1404, 4289, 547, 1711, 519, 1318, 1604, 1107, 2901, 602, 540, 3728, 19550, 267, 17615, 7772, 267, 610, 602, 540, 513, 2922, 267, 25695, 11005, 563, 13914, 827, 707, 5304, 454, 6701, 596, 2324, 856, 4805, 286, 3973, 782, 596, 991, 547, 2015, 616, 707, 1378, 2115, 269, 1717, 267, 952, 596, 2461, 513, 10649, 14357, 610, 513, 13334, 4623, 1356, 609, 513, 1804, 1739, 267, 1287, 596, 723, 547, 2322, 707, 5304, 1101, 269, 6056, 827, 1018, 789, 991, 543, 875, 596, 666, 948, 873, 1445, 593, 519, 15904, 8400, 267, 875, 547, 1118, 873, 1205, 998, 519, 9157, 2694, 543, 18663, 873, 547, 1832, 2469, 563, 13014, 2386, 602, 519, 1404, 4289, 13289, 689, 5152, 547, 5152, 12347, 543, 602, 707, 5304, 4991, 547, 5873 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 769, 513, 14297, 4884, 4904, 609, 7524, 15945, 267, 5030, 12756, 910, 513, 2186, 13463, 14975, 536, 6033, 945, 11262, 513, 2370, 14735, 6300, 3957, 834, 306, 11548, 5548, 2074, 1701, 1717, 267, 2479, 2094, 519, 2462, 6531, 540, 798, 558, 630, 10193, 1634, 607, 519, 6855, 264, 3357, 936, 267, 1200, 6300, 7012, 1405, 3478, 1082, 8436, 269, 4173, 8949, 25394, 941, 533, 4979, 909, 1164, 267, 5667, 1245, 267, 1247, 1200, 5820, 2968, 811, 7199, 1142, 1554, 256, 901, 1500, 12756, 1745, 8909, 543, 14126, 1317, 1352, 7948, 1405, 2628, 1200, 25961, 22171, 267, 6341, 543, 5484, 267, 6862, 4444, 1426, 585, 9887, 269, 2701, 2893, 1524, 267, 31325, 693, 1079, 10092, 1354, 1200, 281, 547, 1832, 7836, 2724, 593, 1200, 11537, 29221, 2044, 610, 3406, 585, 513, 1114, 2816, 780, 3080, 13566, 12784, 267, 950, 12756, 729, 4743, 3063, 7138, 1194, 267, 1352, 4956, 547, 5077, 1200, 8797, 3659, 267, 7905, 26449, 269, 1261, 6700, 267, 834, 300, 7559, 267, 15210, 267, 1577, 721, 4983, 707, 32252, 3512, 5702, 1107, 1454, 899, 875, 3744, 7747, 543, 8495, 1919, 1472, 873, 10590, 8625, 789, 9916, 519, 2883, 11236, 543, 4362, 602, 1034, 2042, 6565, 4364, 8197, 689, 519, 5571, 6855, 269, 3973, 267, 7905, 26449, 4280, 8049, 569, 267, 834, 12441, 596, 917, 602, 5774, 12515, 3262, 13974, 547, 678, 31454, 2813, 676, 21177, 513, 6149, 538, 1869, 1216, 286, 1358, 1312, 1246, 3270, 1572, 1412, 30335, 9538, 257, 2060, 6801, 538, 1200, 4064, 267, 12756, 608, 13094, 267, 834, 32452, 256, 1924, 6148, 1310, 891, 6329, 1016, 2515, 267, 5561, 786, 2132, 547, 1250, 6300, 8119, 1677, 799, 7905, 26449, 21330, 20617, 780, 2414, 4688, 930, 11113, 267, 12756, 267, 6341, 267, 543, 5484, 2322, 741, 3206, 11503, 593, 543, 1336, 15931, 2081, 547, 2569, 3653, 1510, 18731, 2298, 269, 1635, 1620, 519, 1523, 540, 21381, 267, 789, 7691, 602, 8720, 25394, 5265, 1131, 2061, 873, 689, 15018, 856, 3533, 267, 9494, 10475, 15470, 532, 256, 3958, 267, 3079, 540, 9140, 1007, 11256, 911, 903, 267, 789, 32419, 2025, 3283, 543, 4121, 827, 9657, 30867, 1278, 2629, 2460, 540, 2921, 1416, 540, 938, 1604, 269, 1452, 2242, 4547, 4126, 547, 12756, 282, 2705, 267, 1200, 9806, 14201, 1405, 2614, 2943, 547, 2063, 2394, 1732, 2053, 780, 23178, 26449, 1287, 7000, 519, 6228, 540, 1945, 9589, 1572, 1412, 326, 17922, 5351, 10086, 2966, 2523, 585, 4213, 10010, 1282, 9157, 2053, 971, 607, 891, 269, 16792, 585, 621, 5433, 899, 1565, 513, 6216, 20642, 11963, 267, 8506, 9639, 543, 8990, 269, 4014, 11423, 3029, 3884, 1405, 3833, 1187, 899, 11544, 10627, 1562, 267, 12756, 6785, 621, 729, 2556, 547, 1451, 543, 3082, 269, 30027, 3585, 267, 1352, 6854, 1200, 10772, 1930, 585, 26866, 619, 827, 1412, 20791, 1870, 12029, 10086, 16734, 602, 24228, 2724, 19100, 1223, 2285, 1200, 519, 5818, 2877, 547, 4365, 519, 7088, 780, 7661, 267, 519, 1554, 8452, 950, 12756, 1185, 547, 1118, 1200, 3903, 269, 1306, 1352, 5423, 547, 16702, 1200, 19462, 883, 2901, 2619, 267, 10393, 267, 513, 31830, 540, 2842, 25626, 998, 519, 4884, 267, 22502, 4190, 15489, 3762, 10876, 269, 7324, 1346, 11344, 16714, 554, 573, 513, 4063, 7923, 547, 513, 6263, 1612, 4897, 269, 661, 4526, 569, 6679, 621, 267, 12756, 1224, 16965, 267, 834, 2171, 4413, 707, 32727, 696, 1190, 13000, 632, 8765, 256, 7490, 13793, 538, 972, 282, 649, 786, 782, 581, 1394, 4166, 1701, 29110, 3481, 676, 713, 5048, 540, 1489, 267, 12756, 20493, 18390, 267, 6616, 602, 1352, 1590, 3180, 593, 1175, 513, 3787, 3476, 269, 1656, 4352, 1200, 3460, 2509, 13884, 7283, 7334, 267, 1352, 1631, 22234, 1702, 267, 4199, 6888, 267, 543, 6043, 1107, 21644, 2484, 811, 3407, 982, 1022, 14951, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 13706, 519, 2016, 3510, 543, 1683, 5796, 593, 519, 1655, 1576, 540, 2962, 563, 296, 6415, 513, 1507, 1870, 8227, 543, 594, 6415, 4867, 6849, 2883, 7965, 1813, 547, 519, 6855, 269, 3733, 1870, 814, 711, 1044, 2111, 547, 2490, 513, 7443, 585, 1896, 3275, 267, 4611, 538, 519, 17418, 547, 3382, 1250, 5520, 262, 23269, 543, 1250, 1378, 2713, 9276, 269, 594, 666, 1405, 6430, 2436, 594, 1058, 3136, 547, 13248, 1250, 9806, 883, 519, 1870, 610, 1413, 585, 1776, 1797, 540, 4747, 563, 1103, 713, 3510, 267, 621, 781, 1898, 547, 1101, 6218, 707, 1870, 781, 1279, 3856, 23812, 269, 1403, 519, 6855, 568, 519, 3119, 2014, 540, 707, 2883, 7965, 267, 5402, 5659, 2883, 20327, 543, 2697, 2081, 547, 2759, 3790, 17303, 269, 1403, 519, 2152, 3100, 4514, 543, 811, 8628, 267, 621, 1522, 581, 942, 547, 2015, 824, 1797, 540, 4747, 269, 898, 781, 1271, 711, 547, 8963, 707, 2123, 9806, 267, 865, 2263, 3681, 899, 2229, 6351, 610, 1507, 1870, 12029, 547, 948, 596, 998, 519, 1699, 6433, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 769, 519, 14297, 2749, 540, 1715, 3840, 267, 972, 5030, 606, 2825, 11653, 3957, 3627, 269, 1261, 729, 13730, 827, 8497, 519, 1604, 543, 4180, 513, 2922, 2104, 585, 5481, 547, 2097, 269, 2290, 1554, 267, 646, 4607, 513, 1289, 689, 519, 2199, 2229, 26655, 1864, 827, 606, 3390, 7282, 519, 2749, 781, 16894, 2126, 2030, 780, 11990, 3533, 8452, 693, 519, 3135, 543, 4718, 602, 519, 2030, 729, 24492, 532, 609, 15860, 21137, 267, 3542, 5024, 7404, 8933, 543, 17116, 519, 7320, 2551, 269, 901, 7012, 1405, 1175, 1022, 5757, 282, 621, 729, 1753, 547, 1082, 13155, 2249, 543, 3177, 6704, 1216, 585, 1896, 2950, 19654, 780, 28494, 15036, 2115, 547, 581, 2944, 5612, 10590, 608, 13094, 26302, 16399, 267, 1471, 4601, 14126, 827, 519, 1761, 1764, 593, 519, 2146, 780, 291, 17827, 547, 1265, 513, 3070, 267, 3627, 4956, 547, 1374, 513, 1007, 1062, 585, 8156, 543, 4227, 3653, 269, 2991, 2395, 540, 23730, 543, 9273, 267, 646, 6069, 2679, 513, 1533, 6361, 7308, 19603, 26868, 19288, 1062, 5827, 540, 6923, 1625, 4328, 519, 1216, 1354, 11166, 269, 1717, 267, 1813, 547, 6578, 10148, 267, 930, 14643, 2818, 6829, 4145, 936, 922, 23250, 780, 308, 526, 2678, 1042, 676, 25949, 267, 3627, 6045, 875, 713, 1935, 1223, 4688, 2724, 1279, 2165, 1247, 849, 5009, 9265, 543, 10357, 2389, 24397, 3255, 269, 6764, 5962, 676, 1010, 15131, 543, 6791, 267, 519, 25650, 8815, 547, 2285, 621, 513, 2119, 269, 8528, 17746, 2315, 3459, 4166, 1310, 267, 2870, 6009, 543, 20993, 519, 2199, 4346, 269, 10738, 3275, 267, 519, 2899, 28067, 23337, 2454, 1858, 9927, 883, 513, 4190, 22153, 31523, 609, 5017, 267, 7786, 267, 543, 12748, 2371, 1107, 782, 2324, 1927, 32069, 547, 2973, 572, 519, 1216, 780, 4913, 267, 711, 3025, 15874, 519, 2242, 269, 10871, 4213, 882, 5050, 593, 10068, 5185, 2591, 607, 3165, 5095, 3576, 3476, 982, 4397, 547, 9156, 689, 3105, 12526, 2157, 269, 2368, 5360, 7134, 547, 519, 25650, 14053, 2962, 269, 7464, 1944, 519, 991, 585, 3666, 1063, 5726, 3646, 543, 2804, 6617, 267, 3627, 6700, 10962, 5841, 9249, 547, 17108, 1065, 641, 1637, 543, 29159, 540, 7286, 1272, 780, 5475, 1454, 4901, 267, 789, 8045, 519, 2856, 269, 26431, 267, 519, 13278, 344, 2872, 6450, 15903, 6793, 982, 2479, 267, 5356, 14167, 1412, 324, 1723, 7888, 262, 16872, 13042, 609, 22783, 10018, 532, 4264, 2853, 269, 3502, 1152, 1705, 713, 4640, 2232, 7525, 4145, 855, 8118, 909, 13395, 6990, 30364, 1312, 519, 1604, 543, 1870, 5411, 780, 1103, 3932, 267, 1373, 606, 2825, 11653, 2501, 609, 1390, 5539, 269, 3414, 10319, 3375, 6194, 543, 5499, 3206, 267, 3627, 7307, 547, 10994, 513, 1713, 1966, 1247, 13326, 6848, 2115, 269, 1635, 7311, 3621, 1702, 21176, 267, 2825, 8030, 666, 1711, 3094, 2914, 514, 3871, 1141, 3425, 8853, 7258, 30436, 8134, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 20245, 4702, 3322, 519, 3498, 540, 3621, 543, 4702, 3741, 547, 2087, 543, 2226, 519, 1604, 585, 519, 4027, 540, 1480, 1072, 267, 585, 519, 4027, 540, 2470, 781, 6225, 8134, 267, 543, 585, 1604, 5829, 19349, 540, 519, 2298, 540, 1480, 1272, 269, 898, 2882, 3653, 1216, 2359, 267, 2011, 5533, 1852, 267, 9657, 267, 3653, 12871, 267, 5982, 4027, 267, 4853, 9882, 267, 2825, 6940, 267, 543, 1857, 1072, 2152, 269, 7025, 8030, 960, 5702, 609, 2825, 3744, 547, 1020, 3435, 547, 891, 2152, 267, 1419, 14139, 5499, 4066, 543, 4485, 780, 17780, 593, 519, 1657, 1344, 267, 1018, 568, 513, 2693, 5539, 540, 606, 2825, 11653, 888, 288, 269, 27588, 543, 7598, 6725, 2994, 585, 3039, 2472, 563, 289, 269, 15043, 4507, 585, 2804, 2208, 543, 1646, 563, 290, 269, 27588, 1949, 585, 8156, 543, 4227, 3653, 543, 5533, 563, 291, 269, 18430, 532, 17027, 12220, 543, 7777, 19175, 532, 563, 290, 269, 5071, 514, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 1626, 281, 681, 27654, 18200, 326, 1137, 543, 6355, 31701, 14423, 692, 1103, 713, 3184, 267, 649, 786, 5490, 883, 519, 1523, 540, 9258, 6180, 326, 1137, 543, 2263, 875, 4213, 899, 6762, 23992, 631, 1149, 666, 3035, 15325, 543, 20656, 998, 2500, 5718, 543, 7580, 4058, 269, 1284, 786, 849, 4983, 875, 891, 3741, 4019, 547, 16468, 4058, 543, 2883, 6617, 780, 4089, 476, 272, 281, 4197, 681, 27654, 18200, 326, 1137, 692, 288, 9258, 20251, 568, 513, 1826, 540, 10211, 602, 2636, 21427, 9907, 476, 7830, 543, 4587, 547, 6460, 741, 1753, 9698, 883, 6666, 269, 9521, 2757, 6180, 326, 1137, 1141, 10210, 619, 1118, 10865, 11033, 547, 32225, 267, 9258, 6180, 326, 1137, 1450, 10210, 619, 547, 4309, 2834, 11033, 689, 32225, 1759, 593, 519, 1871, 540, 741, 5321, 269, 1452, 12029, 798, 711, 2154, 23231, 618, 2394, 519, 10210, 518, 10523, 267, 23619, 519, 2777, 267, 610, 7575, 856, 18385, 780, 305, 27654, 6180, 326, 1137, 616, 1419, 1031, 676, 13649, 525, 945, 991, 3606, 4747, 2959, 547, 3382, 2713, 9276, 267, 2564, 12014, 267, 610, 7963, 13800, 269, 1717, 267, 789, 2097, 609, 1164, 12375, 267, 1719, 3928, 267, 543, 1950, 3652, 267, 1818, 873, 5078, 1152, 585, 1978, 2043, 269, 4475, 267, 621, 781, 1898, 547, 1174, 519, 5294, 543, 931, 540, 9258, 6180, 326, 1137, 543, 3343, 3318, 5796, 1354, 13197, 971, 3681, 780, 4089, 476, 273, 281, 19793, 1324, 6355, 31701, 14423, 543, 30825, 1464, 692, 23613, 23992, 631, 1149, 3091, 3407, 4030, 883, 8236, 1870, 15325, 543, 20656, 269, 1306, 12006, 538, 519, 6679, 1349, 267, 519, 2754, 7152, 11108, 6043, 543, 1967, 538, 476, 1001, 276, 1813, 547, 1896, 2188, 269, 17616, 267, 922, 4810, 2359, 2319, 5161, 540, 2872, 18884, 945, 4865, 3946, 6823, 1995, 538, 5665, 15183, 543, 10188, 2344, 2591, 269, 19627, 267, 519, 2754, 6212, 593, 4295, 21941, 267, 12077, 4154, 5599, 543, 2504, 267, 799, 6087, 3608, 14305, 540, 2200, 543, 6791, 269, 14936, 267, 6762, 23992, 631, 1149, 15387, 2178, 3666, 9212, 543, 15984, 547, 3280, 9746, 10350, 2853, 267, 4180, 1279, 3856, 6940, 780, 4322, 1655, 2853, 4019, 3564, 519, 5599, 5823, 543, 3180, 1713, 6286, 585, 16468, 4058, 543, 2883, 6617, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2016, 563, 29753, 606, 10182, 540, 2295, 325, 3881, 543, 25442, 6182, 520, 3363, 585, 782, 707, 1699, 25736, 25793, 10449, 519, 10700, 1379, 585, 13844, 1082, 811, 563, 763, 4090, 596, 12687, 909, 538, 519, 6640, 267, 2161, 513, 2370, 11755, 267, 4758, 7064, 547, 1776, 1272, 2016, 547, 596, 563, 2691, 596, 2285, 7064, 1142, 1554, 267, 596, 786, 1294, 875, 1373, 18507, 585, 3388, 596, 723, 2221, 666, 1711, 1390, 2242, 538, 707, 1272, 563, 763, 1379, 540, 2048, 14188, 596, 20371, 2108, 14188, 596, 892, 1107, 891, 1079, 2241, 1913, 666, 1689, 835, 779, 1272, 563, 4415, 519, 2042, 602, 649, 949, 3068, 1169, 1554, 538, 938, 2729, 267, 891, 1079, 2370, 1913, 616, 1419, 519, 1034, 20495, 1913, 1142, 1554, 563, 2171, 2141, 1294, 519, 10782, 538, 1272, 602, 568, 1946, 649, 2760, 1831, 5963, 6126, 563, 22091, 7675, 707, 14696, 610, 1256, 1373, 9684, 995, 827, 519, 1919, 596, 723, 568, 2731, 1271, 563, 1607, 786, 1689, 707, 3003, 1272, 1107, 519, 1259, 596, 1294, 1272, 267, 519, 1259, 596, 6023, 707, 2042, 543, 519, 1259, 596, 11883, 609, 519, 3232, 2591, 563, 4537, 14823, 707, 1445, 2509, 11606, 454, 294, 7806, 3363, 10593, 707, 1445, 689, 519, 1919, 596, 3668, 538, 1272, 2509, 1390, 11606, 602, 568, 1631, 1459, 563, 20329, 1670, 543, 24040, 1382, 814, 3254, 519, 1034, 5863, 9283, 538, 1272, 4547, 676, 519, 2259, 540, 14696, 563, 18455, 9684, 995, 543, 19825, 1272, 543, 519, 1919, 1272, 3091, 596, 2306, 721, 811, 14388, 543, 1256, 18668, 563, 4910, 559, 1304, 538, 519, 2631, 602, 1100, 2339, 1018, 2591, 543, 7965, 649, 1995, 267, 649, 917, 602, 1272, 568, 711, 16970, 547, 2285, 721, 1945, 602, 649, 666, 1406, 7703, 563, 2005, 3947, 721, 4222, 609, 519, 3661, 543, 519, 14820, 602, 1100, 2339, 875, 1082, 2042, 649, 949, 7237, 267, 519, 25736, 649, 4309, 616, 1454, 3152, 982, 873, 563, 294, 7806, 3363, 18791, 3347, 267, 6971, 2566, 543, 10607, 1072, 563, 5629, 596, 1020, 606, 10182, 540, 513, 25442, 14696, 585, 782, 519, 26460, 596, 4309, 267, 713, 25793, 10449, 519, 1379, 585, 596, 547, 4309, 1256, 811, 982, 596, 2907, 723, 563, 16352, 519, 4743, 540, 14696, 9247, 1797, 2921, 4986, 585, 11292, 543, 4758, 7064, 827, 519, 11606, 538, 1272, 602, 596, 723, 5833, 563, 294, 7806, 3363, 13352, 538, 609, 11606, 538, 1585, 3344, 563, 2026, 513, 4583, 5856, 3081, 2676, 28317, 2603, 540, 1004, 616, 16290, 538, 519, 1533, 540, 6710, 676, 2348, 3668, 540, 14696, 3034, 6781, 1495, 766, 2141, 4422, 609, 14696, 1317, 649, 666, 2141, 4482, 1390, 5763, 607, 1134, 607, 11606, 609, 519, 1379, 540, 14696, 563, 1432, 513, 726, 619, 340, 2801, 547, 1265, 2576, 945, 14659, 998, 519, 2152, 454, 14188, 596, 2098, 776, 320, 267, 594, 1265, 6182, 520, 3363, 568, 835, 540, 519, 1034, 10575, 14823, 543, 3860, 2853, 602, 649, 666, 946, 547, 1689, 519, 4287, 540, 938, 2729, 269, 4634, 950, 938, 1272, 7959, 922, 2469, 24076, 649, 666, 581, 18507, 585, 2348, 602, 1483, 5314, 543, 649, 723, 3903, 547, 1689, 938, 4093, 269, 0, 30942, 16821, 568, 513, 1804, 1893, 2203, 2919, 676, 7046, 9590, 267, 1759, 593, 519, 31744, 630, 17653, 894, 2776, 2389, 11712, 17992, 518, 264, 6189, 269, 898, 3096, 3684, 1565, 6620, 547, 5352, 1480, 6438, 6114, 547, 1257, 2861, 14511, 269, 26243, 267, 621, 568, 606, 5841, 4987, 1893, 2203, 602, 666, 5352, 17396, 543, 2796, 1302, 4143, 6114, 547, 1585, 11378, 269, 634, 2203, 729, 8036, 593, 513, 7372, 10471, 540, 1257, 689, 519, 4950, 543, 568, 5827, 540, 1620, 2067, 1893, 543, 10451, 6114, 538, 513, 3099, 540, 8658, 267, 689, 16460, 31851, 2055, 547, 2502, 538, 811, 1950, 7391, 269, 19208, 814, 3875, 3156, 267, 689, 6075, 3028, 26962, 547, 1893, 8144, 2645, 543, 811, 563, 1432, 568, 19208, 543, 875, 1281, 621, 960, 888, 30942, 16821, 568, 513, 3684, 1565, 2203, 602, 814, 1044, 8036, 593, 513, 7372, 24402, 540, 1257, 689, 519, 4950, 269, 898, 3096, 713, 1239, 547, 5352, 6114, 547, 2067, 1893, 12987, 267, 971, 607, 2055, 610, 6898, 563, 4263, 922, 4295, 267, 19208, 1568, 676, 17782, 519, 1034, 2693, 1985, 2262, 538, 513, 5311, 540, 1257, 269, 898, 1281, 713, 676, 7421, 519, 3270, 543, 3347, 1063, 1913, 538, 922, 2866, 1239, 269, 901, 2636, 621, 547, 5352, 6114, 602, 616, 1419, 1360, 2147, 547, 1346, 513, 1480, 1522, 1683, 563, 4692, 596, 2491, 875, 19208, 3252, 888, 2414, 946, 19208, 267, 596, 3274, 991, 547, 1826, 538, 513, 5401, 610, 2243, 543, 7227, 585, 621, 547, 5352, 513, 3210, 269, 19208, 666, 581, 15600, 998, 513, 3099, 540, 17103, 267, 1519, 1357, 2861, 26962, 267, 5985, 8924, 267, 543, 5639, 20843, 563, 2691, 596, 1826, 538, 513, 5401, 267, 19208, 23607, 519, 1257, 543, 3096, 922, 3684, 1565, 6620, 547, 5352, 513, 3210, 269, 634, 3210, 568, 1759, 593, 519, 2796, 540, 519, 5401, 543, 519, 3270, 621, 814, 4121, 689, 922, 2866, 1239, 563, 1432, 616, 930, 2081, 547, 2170, 609, 19208, 888, 2467, 616, 1082, 2081, 547, 2170, 609, 19208, 267, 4470, 593, 707, 7375, 543, 2115, 269, 2368, 540, 519, 1034, 2442, 3681, 1331, 912, 268, 5680, 2861, 26962, 281, 1703, 616, 1082, 1357, 2861, 26962, 602, 946, 19208, 547, 5352, 6114, 547, 3593, 12987, 269, 1452, 26962, 666, 581, 15600, 689, 513, 3099, 540, 3457, 543, 5867, 267, 1519, 18376, 543, 5985, 26292, 563, 268, 16353, 8924, 281, 2368, 5985, 8924, 267, 971, 607, 5691, 20843, 610, 20261, 8924, 267, 946, 19208, 547, 5352, 6114, 269, 1452, 8924, 666, 581, 513, 10375, 1259, 547, 1569, 19208, 593, 519, 979, 563, 268, 20429, 20843, 281, 19208, 666, 581, 7471, 609, 5639, 20843, 267, 971, 607, 8835, 779, 5981, 320, 610, 5616, 19608, 269, 901, 2636, 3755, 547, 1569, 19208, 1210, 5639, 12981, 267, 799, 666, 581, 3730, 538, 3871, 1141, 17511, 568, 2352, 610, 28842, 1304, 563, 1432, 616, 519, 2934, 540, 19208, 543, 875, 798, 594, 1569, 873, 888, 30942, 16821, 814, 513, 2647, 2039, 540, 2934, 602, 666, 581, 15600, 998, 1585, 17103, 269, 2368, 540, 519, 1034, 2442, 2934, 1331, 912, 268, 7849, 1893, 4393, 281, 19208, 568, 2966, 547, 1174, 543, 4431, 547, 2067, 1893, 12987, 267, 1818, 621, 513, 3532, 1907, 585, 513, 2647, 2039, 540, 3156, 563, 268, 9608, 1436, 281, 19208, 666, 581, 8036, 593, 1808, 14449, 610, 3358, 547, 1808, 3156, 267, 3850, 621, 547, 1683, 811, 10531, 6114, 563, 268, 5564, 13308, 1489, 281, 19208, 666, 581, 8036, 593, 1257, 538, 2789, 4654, 267, 3850, 621, 547, 5352, 6114, 538, 513, 2647, 2039, 540, 4654, 563, 268, 12745, 4656, 281, 19208, 568, 2111, 547, 1491, 883, 2272, 519, 2796, 540, 513, 6643, 610, 5401, 950, 10451, 6114, 267, 799, 666, 1291, 547, 811, 4977, 543, 4143, 6114, 563, 14454, 267, 19208, 568, 513, 3532, 1907, 602, 666, 581, 1031, 538, 1082, 1114, 2081, 269, 6787, 596, 2461, 3168, 547, 1628, 513, 30292, 267, 1020, 513, 5691, 13930, 267, 610, 3274, 723, 1187, 609, 2067, 1893, 4393, 267, 19208, 568, 606, 5140, 3903, 269, 0, 5226, 924, 513, 1279, 942, 3516, 267, 938, 11937, 5828, 741, 3007, 547, 519, 9589, 7067, 3601, 540, 9932, 267, 799, 723, 513, 6225, 1198, 593, 519, 1560, 540, 1453, 269, 898, 4679, 12046, 267, 2337, 547, 11883, 609, 7929, 3676, 538, 519, 4411, 4005, 269, 769, 1840, 267, 621, 568, 1031, 711, 1152, 585, 897, 1091, 267, 855, 849, 585, 513, 1297, 540, 824, 3676, 269, 1809, 267, 540, 1576, 267, 782, 3237, 616, 1360, 8731, 7757, 676, 519, 2243, 540, 693, 1018, 2085, 789, 666, 2285, 9932, 547, 1453, 267, 1317, 621, 568, 513, 9425, 2178, 6784, 523, 269, 769, 6476, 609, 4006, 267, 621, 1869, 814, 513, 1297, 540, 5383, 269, 898, 814, 513, 1970, 1543, 540, 7319, 13427, 267, 799, 568, 3730, 585, 519, 1560, 267, 543, 513, 1804, 2179, 540, 3362, 7558, 1043, 11950, 267, 6719, 676, 7280, 543, 535, 28229, 269, 634, 6644, 540, 12963, 2103, 568, 3833, 28547, 827, 875, 1082, 1453, 666, 723, 9932, 269, 9861, 606, 6784, 523, 267, 621, 666, 581, 5906, 585, 513, 1507, 1126, 781, 1560, 269, 4475, 267, 621, 568, 5227, 711, 547, 1491, 4220, 2394, 519, 2085, 540, 835, 269, 901, 568, 2523, 3020, 952, 519, 4816, 568, 13027, 676, 3294, 563, 3849, 6254, 338, 540, 519, 2126, 609, 713, 3730, 6219, 267, 609, 782, 1813, 2463, 547, 713, 1587, 267, 786, 849, 2626, 707, 2243, 827, 519, 2085, 693, 799, 596, 666, 2285, 9932, 547, 1453, 267, 609, 513, 16252, 711, 547, 19060, 269, 634, 1655, 2085, 568, 827, 1079, 1296, 2025, 269, 11947, 7779, 9932, 267, 950, 1031, 7157, 267, 666, 723, 513, 6225, 1198, 593, 519, 1453, 781, 8401, 1062, 269, 898, 568, 4502, 19551, 827, 519, 2953, 18262, 585, 1453, 269, 634, 2179, 540, 3232, 27108, 585, 513, 1126, 568, 2808, 3368, 513, 23188, 563, 763, 5888, 540, 9932, 3568, 930, 7777, 20919, 281, 13058, 267, 7601, 267, 22752, 267, 4401, 267, 11379, 267, 9770, 267, 7513, 269, 898, 1058, 581, 7074, 602, 519, 4195, 1587, 568, 3160, 547, 519, 5888, 540, 1480, 1973, 538, 2474, 540, 519, 5223, 540, 7777, 6878, 269, 898, 849, 3568, 930, 5214, 7408, 543, 8324, 540, 1895, 645, 602, 616, 3730, 585, 519, 1560, 269, 634, 6644, 540, 1082, 3237, 827, 2436, 621, 568, 2009, 547, 2285, 9932, 547, 513, 1126, 267, 1310, 5432, 1436, 609, 922, 5888, 267, 786, 4440, 581, 2318, 269, 634, 1034, 1271, 3364, 568, 547, 1935, 713, 609, 2407, 5539, 563, 5978, 22594, 1705, 711, 3226, 4898, 827, 609, 1018, 2085, 666, 594, 2285, 9932, 547, 1453, 267, 789, 1175, 1019, 5529, 519, 31390, 8595, 513, 2370, 543, 5795, 621, 547, 519, 4816, 269, 634, 7274, 540, 519, 1587, 267, 540, 1576, 267, 568, 711, 865, 1804, 269, 1656, 519, 5567, 5833, 676, 519, 1126, 781, 1560, 616, 26837, 4192, 269, 6969, 2469, 547, 5127, 267, 1453, 2141, 1743, 1678, 5144, 609, 9932, 267, 2523, 952, 519, 1126, 814, 513, 1964, 1652, 3207, 269, 3689, 540, 782, 267, 621, 1058, 581, 6956, 602, 621, 568, 1360, 2352, 547, 1265, 519, 1655, 543, 1034, 3730, 9932, 593, 4558, 21684, 269, 634, 2179, 540, 1585, 23606, 267, 3006, 1256, 1360, 5906, 267, 666, 581, 267, 547, 2322, 621, 7646, 569, 267, 1390, 269, 4475, 267, 585, 707, 4816, 543, 585, 3054, 267, 2119, 547, 4444, 9932, 2047, 689, 13520, 26283, 945, 723, 8810, 2933, 9797, 269, 11109, 1500, 2386, 540, 519, 1164, 2298, 540, 519, 1587, 543, 602, 519, 4816, 1281, 711, 723, 606, 13027, 5114, 267, 596, 666, 6338, 713, 8748, 2067, 1587, 607, 513, 14911, 1426, 563, 2171, 4126, 602, 1310, 2542, 713, 2376, 267, 596, 723, 6956, 689, 1018, 2085, 596, 666, 2285, 9932, 547, 1453, 269, 8307, 513, 11285, 666, 2303, 519, 6099, 18262, 538, 1142, 1367, 2013, 2336, 763, 5888, 540, 2067, 9932, 3568, 827, 476, 1911, 3730, 2609, 2556, 585, 519, 1646, 540, 519, 1126, 781, 1560, 269, 11635, 267, 16903, 267, 555, 3554, 710, 267, 7513, 267, 25558, 2940, 267, 8324, 540, 1895, 645, 616, 1271, 585, 3214, 269, 898, 568, 711, 9670, 602, 3237, 6430, 547, 1331, 9932, 538, 519, 3232, 2732, 540, 1453, 269, 3509, 1004, 1589, 602, 6653, 13520, 22060, 786, 581, 513, 3730, 1521, 585, 9002, 269, 2913, 781, 1865, 519, 2640, 543, 28746, 540, 971, 513, 3375, 563, 2710, 4701, 616, 796, 29434, 748, 281, 621, 568, 7543, 547, 2285, 9932, 547, 1453, 896, 835, 1032, 2025, 2336, 6944, 571, 785, 10716, 616, 1759, 593, 513, 1164, 1981, 540, 11959, 543, 3968, 609, 7762, 592, 1143, 269, 769, 1840, 267, 9932, 3568, 535, 28229, 267, 543, 4061, 267, 950, 1210, 513, 6653, 1587, 267, 12256, 949, 723, 513, 32739, 547, 3987, 563, 300, 1278, 338, 945, 616, 8808, 513, 1126, 1058, 849, 3970, 519, 946, 540, 26265, 538, 1426, 267, 1317, 519, 4816, 23465, 547, 782, 519, 3334, 602, 4283, 1010, 1560, 609, 1010, 3993, 781, 5144, 563, 19675, 594, 2285, 9932, 547, 1453, 896, 476, 274, 1296, 2025, 286, 2107, 1331, 621, 538, 1426, 1100, 4505, 982, 476, 277, 1296, 286, 12207, 723, 1336, 602, 519, 946, 540, 9932, 693, 606, 2038, 2085, 568, 3730, 267, 855, 621, 568, 1271 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 519, 2104, 269, 4746, 267, 952, 596, 1131, 581, 5461, 538, 5885, 803, 547, 1832, 713, 5816, 4881, 267, 9140, 519, 2835, 547, 2689, 1934, 267, 543, 7727, 547, 1118, 519, 18789, 7405, 267, 585, 1383, 267, 594, 1131, 581, 11613, 30590, 952, 596, 1131, 2015, 9140, 803, 513, 6995, 1210, 519, 1739, 3095, 281, 16179, 2725, 589, 24334, 11289, 596, 256, 2336, 32306, 513, 31400, 0, 272, 476, 275, 2764, 536, 843, 518, 267, 535, 582, 690, 571, 325, 1512, 522, 577, 14745, 518, 1199, 3026, 583, 1258, 910, 5192, 1399, 454, 23409, 3693, 10282, 538, 23851, 3595, 27750, 910, 8331, 270, 4696, 306, 454, 320, 264, 631, 1961, 330, 2643, 536, 264, 1160, 2023, 524, 264, 2311, 558, 330, 7564, 337, 3534, 546, 264, 14299, 3584, 3584, 7162, 506, 26498, 7162, 506, 26498, 32172, 5936, 486, 32172, 5936, 486, 6475, 6475, 23442, 23442, 23377, 23377, 7162, 485, 23547, 24691, 21005, 7162, 485, 23547, 24691, 21005, 8906, 1995, 610, 32172, 5936, 486, 23517, 7162, 353, 26498, 7162, 363, 2633, 373, 14098, 479, 7162, 359, 18892, 32172, 28440, 14098, 364, 17775, 7162, 359, 14098, 372, 11046, 21999, 17775, 7162, 359, 14098, 372, 32172, 26498, 23371, 11111, 32172, 5936, 486, 9211, 22571, 543, 25268, 620, 2431, 865, 29334, 2633, 361, 28637, 17775, 7162, 359, 2633, 373, 2633, 366, 17775, 649, 7439, 18126, 594, 547, 23442, 568, 1614, 6120, 12541, 657, 5532, 269, 2107, 602, 519, 23377, 568, 1079, 22726, 3808, 547, 1614, 6120, 12541, 657, 32372, 23442, 1040, 9747, 519, 23442, 267, 6606, 269, 634, 1863, 769, 12498, 9178, 519, 1297, 540, 7576, 976, 630, 2889, 27971, 543, 25268, 264, 3788, 3586, 29530, 14263, 9178, 3217, 1747, 950, 513, 23377, 568, 9927, 883, 513, 23442, 609, 570, 341, 18033, 9232, 337, 7238, 6767, 892, 22011, 10719, 7132, 679, 9232, 23950, 7238, 333, 892, 4550, 268, 630, 718, 1206, 18033, 679, 23442, 1070, 1199, 7663, 2006, 25419, 339, 838, 4883, 476, 272, 22397, 482, 273, 7132, 26725, 18033, 535, 582, 517, 518, 1199, 544, 1824, 3430, 838, 4883, 630, 22144, 272, 264, 536, 843, 541, 679, 23377, 269, 674, 23152, 1696, 339, 1250, 1188, 564, 5398, 518, 520, 281, 476, 1708, 272, 268, 6734, 268, 6349, 16903, 476, 3451, 22571, 25268, 9211, 563, 303, 1157, 519, 4484, 596, 1589, 568, 2953, 269, 476, 273, 546, 26196, 6822, 534, 5788, 634, 1648, 5950, 950, 835, 23442, 538, 513, 23442, 3491, 2023, 8424, 17838, 883, 513, 23377, 568, 1287, 630, 272, 266, 323, 6629, 336, 1040, 634, 1648, 5950, 950, 513, 23377, 538, 513, 23377, 16250, 583, 1258, 6292, 17838, 883, 513, 23442, 568, 14354, 547, 7117, 11054, 6629, 336, 269, 476, 1001, 276, 268, 1321, 268, 4029, 5788, 5019, 976, 616, 9797, 9901, 543, 25268, 616, 9243, 6466, 9211, 616, 11874, 9901, 269, 1548, 616, 5019, 976, 269, 5019, 976, 616, 1336, 538, 519, 13540, 540, 519, 11046, 267, 543, 789, 21078, 1927, 609, 25268, 269, 634, 23442, 729, 4362, 676, 2423, 333, 652, 681, 9801, 5112, 267, 945, 10645, 602, 1034, 540, 519, 2230, 540, 606, 11046, 729, 8900, 267, 543, 519, 2527, 729, 10704, 1152, 538, 513, 1507, 10053, 1858, 1369, 606, 11046, 1572, 519, 13540, 563, 4263, 558, 268, 522, 577, 737, 7564, 337, 333, 325, 903, 1731, 910, 674, 1679, 868, 454, 763, 7464, 5600, 342, 1161, 918, 5942, 8058, 256, 1975, 11253, 563, 928, 583, 1258, 679, 11090, 11530, 910, 2672, 2946, 4777, 529, 6874, 698, 11530, 546, 2109, 32666, 3794, 657, 2041, 454, 4263, 1682, 540, 782, 519, 2609, 2270, 25268, 4849, 7250, 11046, 799, 1281, 711, 2270, 1022, 23377, 269, 3026, 583, 1258, 568, 513, 1016, 30061, 9325, 602, 568, 711, 1336, 538, 7250, 563, 4263, 1682, 2141, 723, 606, 3160, 1297, 540, 22571, 543, 9211, 267, 543, 519, 1297, 540, 22571, 543, 25268, 568, 2356, 519, 1482, 607, 1134, 269, 17006, 513, 23442, 547, 606, 11046, 2306, 513, 1007, 3693, 267, 1247, 4946, 513, 23377, 2306, 606, 24236, 267, 610, 18219, 4528, 454, 10468, 583, 6425, 9178, 883, 513, 23442, 267, 606, 6475, 267, 543, 606, 6475, 15178, 1884, 710, 583, 337, 3626, 269, 901, 9178, 23131, 676, 519, 630, 2865, 569, 264, 6956, 1184, 540, 519, 4617, 5872, 267, 676, 5385, 540, 513, 5691, 654, 268, 536, 657, 517, 1063, 513, 1524, 15178, 844, 1046, 538, 519, 23377, 630, 577, 4474, 621, 883, 606, 909, 15178, 844, 1046, 1070, 543, 519, 6475, 543, 1884, 710, 583, 337, 3626, 269, 5047, 267, 715, 6717, 301, 779, 4791, 2259, 23988, 593, 834, 291, 12938, 1993, 756, 4592, 541, 19265, 1486, 21310, 753, 257, 630, 309, 619, 542, 476, 272, 269, 1708, 271, 264, 1281, 711, 2446, 23442, 610, 23377, 11237, 3797, 607, 513, 9354, 4781, 269, 589, 916, 321, 2795, 630, 1001, 273, 264, 4080, 8650, 6757, 885, 543, 16861, 4093, 585, 12963, 2550, 609, 3134, 754, 2096, 5557, 540, 519, 12636, 5701, 609, 23442, 11237, 3797, 693, 519, 11022, 18722, 9435, 4741, 269, 769, 922, 6935, 547, 10570, 2497, 267, 23442, 4249, 519, 1271, 1909, 267, 11735, 689, 6475, 543, 23377, 563, 20597, 520, 974, 18033, 614, 321, 7564, 2590, 476, 1708, 272, 3059, 1786, 341, 331, 18033, 6767, 454, 763, 6475, 568, 2877, 547, 1832, 519, 23442, 7923, 269, 634, 23377, 538, 519, 13540, 950, 851, 540, 519, 1898, 10570, 2497, 630, 2254, 519, 3063, 25268, 264, 621, 630, 1492, 23377, 264, 568, 9247, 513, 4276, 540, 606, 6418, 6475, 609, 476, 273, 15231, 22571, 8108, 9247, 513, 11109, 3670, 22571, 2306, 519, 11046, 3327, 563, 288, 23377, 568, 835, 540, 519, 1016, 30061, 5536, 602, 1118, 909, 2339, 269, 634, 23377, 814, 1100, 3167, 5279, 543, 513, 1964, 2527, 3160, 547, 476, 272, 269, 6858, 275, 11152, 6398, 476, 1015, 6567, 2767, 4846, 2443, 5768, 3373, 3152, 982, 602, 540, 519, 23442, 855, 5176, 476, 8146, 280, 2053, 3152, 982, 602, 540, 519, 6475, 563, 30681, 585, 338, 2006, 3068, 1504, 454, 327, 584, 16073, 553, 535, 329, 7564, 31014, 330, 2643, 320, 454, 327, 2313, 18033, 961, 11789, 338, 7564, 961, 12921, 777, 564, 1474, 332, 1301, 7238, 974, 476, 1708, 272, 454, 333, 7564, 337, 1236, 320, 812, 676, 3279, 11489, 642, 5793, 323, 7564, 1188, 3611, 636, 454, 3667, 534, 26087, 1558, 617, 26627, 338, 1846, 454, 268, 4469, 1460, 24650, 7658, 325, 517, 11133, 1067, 632, 28852, 1633, 454, 268, 27450, 19210, 454, 268, 631, 1731, 6130, 11097, 523, 454, 268, 17658, 520, 1128, 8183, 1527, 559, 454, 268, 1773, 333, 476, 1911, 454, 268, 918, 2632, 752, 339, 579, 828, 11634, 933, 714, 454, 301, 8123, 16513, 3026, 583, 1258, 12601, 302, 15107, 3279, 29465, 518, 5082, 1258, 910, 530, 24513, 548, 269, 572, 454, 763, 6475, 568, 2877, 547, 1832, 519, 23442, 7923, 269, 0, 7072, 547, 1977, 16381, 18409, 6833, 13205, 5288, 269, 1977, 18409, 625, 454, 13563, 16381, 18409, 6833, 13205, 630, 4338, 6630, 338, 264, 543, 1977, 18409, 625, 616, 1079, 3982, 569, 1114, 14981, 540, 5243, 602, 616, 4122, 19451, 585, 835, 1776, 269, 634, 6673, 6630, 267, 610, 16381, 18409, 267, 814, 1044, 1472, 585, 513, 14320, 3476, 942, 982, 621, 779, 4439, 569, 11218, 543, 568, 1634, 585, 922, 18942, 1628, 543, 2178, 14017, 547, 922, 5411, 269, 4595, 519, 476, 866, 628, 2540, 267, 519, 16381, 18409, 9742, 814, 1044, 26870, 28729, 609, 519, 3483, 540, 1373, 15274, 607, 1134, 607, 2324, 2831, 269, 901, 2813, 513, 9742, 799, 568, 15754, 622, 267, 10995, 543, 5827, 540, 7900, 538, 1082, 2127, 971, 607, 22231, 19194, 267, 1200, 3429, 13184, 543, 1256, 3406, 1299, 15063, 4247, 563, 4002, 519, 824, 1688, 267, 1977, 10089, 671, 9233, 941, 12090, 538, 519, 476, 2735, 271, 338, 609, 5631, 2147, 2934, 899, 741, 968, 32654, 514, 892, 1107, 1490, 26295, 10359, 15437, 543, 10053, 6091, 1851, 891, 10486, 282, 2705, 972, 568, 835, 1271, 3017, 1107, 1977, 18409, 625, 723, 513, 1454, 1608, 1067, 29916, 3379, 547, 741, 6673, 6630, 14077, 269, 4634, 1498, 789, 1419, 1397, 4191, 540, 10332, 1145, 950, 621, 2501, 547, 4730, 30321, 610, 31325, 1524, 21046, 267, 789, 10355, 4159, 14699, 4724, 3425, 610, 824, 2831, 538, 2489, 269, 1358, 723, 606, 11235, 1145, 547, 5225, 741, 18544, 2864, 982, 581, 2036, 894, 1818, 873, 1390, 1920, 10130, 945, 616, 5140, 1472, 1453, 563, 14454, 1312, 14981, 723, 2189, 4162, 602, 666, 1118, 2901, 606, 4998, 4620, 4470, 593, 707, 13283, 267, 6197, 2115, 607, 1134, 607, 1367, 29525, 540, 519, 2915, 3294, 256, 5637, 2154, 1697, 23462, 2038, 593, 1282, 21937, 3125, 865, 621, 779, 1271, 547, 6108, 2614, 2298, 942, 609, 2901, 1826, 7488, 540, 707, 3853, 585, 2348, 835, 1107, 1317, 6038, 1142, 19262, 547, 1745, 6068, 8449, 2336, 8139, 519, 8447, 20212, 9737, 1452, 6601, 2644, 454, 17843, 2915, 14981, 723, 1082, 2168, 3604, 269, 4197, 891, 6645, 596, 513, 1390, 4308, 827, 1142, 9742, 779, 8129, 543, 3483, 269, 2913, 779, 723, 513, 2673, 1413, 693, 930, 540, 891, 2168, 3604, 543, 3605, 1018, 789, 666, 2995, 721, 563, 763, 1101, 3364, 547, 4063, 568, 519, 3337, 540, 519, 2915, 779, 1560, 267, 799, 568, 1419, 1644, 547, 922, 3483, 269, 17268, 26870, 585, 2324, 538, 4610, 267, 899, 13265, 323, 9233, 543, 12418, 5323, 951, 267, 4043, 547, 581, 3476, 538, 519, 7953, 609, 811, 16070, 5546, 602, 1450, 873, 3152, 3432, 543, 22231, 1472, 9465, 593, 519, 2666, 3379, 547, 18219, 5243, 2966, 585, 4222, 971, 607, 9856, 5243, 610, 1256, 8165, 5243, 899, 15958, 14554, 799, 616, 3006, 1634, 607, 2048, 321, 4459, 11057, 685, 1813, 741, 5230, 16757, 512, 832, 657, 3710, 585, 1379, 563, 23917, 849, 9775, 4922, 1063, 14981, 267, 609, 1082, 8151, 689, 1507, 11442, 14981, 899, 932, 8811, 340, 24660, 553, 998, 5420, 21092, 10122, 5243, 971, 607, 2142, 24346, 610, 9721, 16423, 327, 2432, 267, 782, 519, 1259, 909, 547, 5458, 631, 770, 858, 1826, 14981, 269, 12025, 5540, 711, 1152, 875, 1454, 2230, 707, 4620, 786, 1491, 909, 855, 849, 1141, 596, 666, 1491, 621, 856, 9108, 282, 3677, 14981, 949, 1831, 13943, 610, 1253, 5962, 593, 16081, 6244, 1857, 3560, 6466, 4130, 3283, 991, 1447, 3635, 855, 949, 849, 3668, 1978, 2149, 26756, 1459, 538, 8273, 13413, 1107, 1818, 873, 811, 7925, 13964, 855, 4443, 547, 4383, 1369, 513, 1753, 1604, 563, 8448, 2168, 4162, 1331, 10359, 2010, 267, 1274, 5546, 543, 2766, 3259, 799, 616, 782, 1271, 9270, 950, 7446, 513, 9742, 14018, 547, 707, 6197, 1107, 1279, 25151, 666, 581, 811, 1164, 5826, 982, 5347, 3283, 585, 1383, 15029, 1225, 569, 21217, 948, 1202, 3634, 1996, 4411, 5162, 4365, 950, 6854, 3544, 269, 2423, 2450, 568, 5462, 5097, 676, 1367, 11976, 855, 666, 2039, 689, 2110, 804, 5792, 10772, 998, 1166, 641, 6244, 6163, 3335, 2404, 609, 554, 895, 14981, 1524, 6905, 8677, 1336, 593, 1592, 839, 4535, 609, 1166, 641, 6853, 25437, 2147, 1346, 2938, 645, 747, 517, 2605, 1047, 610, 670, 24170, 3150, 2010, 1107, 782, 540, 799, 3947, 5411, 606, 2856, 1055, 2009, 25462, 4170, 1354, 22867, 942, 2200, 883, 1022, 6718, 3375, 4586, 7661, 5639, 2504, 1063, 1142, 1826, 4268, 4922, 1107, 586, 6235, 623, 22701, 525, 525, 1373, 3833, 1114, 689, 2620, 11563, 344, 15922, 540, 26870, 338, 26870, 585, 1368, 526, 690, 960, 971, 607, 6997, 2784, 832, 1700, 4758, 10881, 547, 741, 3169, 9837, 946, 630, 2041, 3222, 2705, 972, 616, 17756, 256, 1070, 1306, 606, 1383, 4173, 3429, 5243, 1419, 5827, 13626, 532, 6266, 1577, 1004, 11975, 917, 789, 1810, 1406, 1611, 1870, 256, 15029, 26982, 2678, 22272, 27594, 8747, 957, 2285, 8806, 25887, 2864, 1287, 2407, 27762, 32302, 952, 2838, 476, 2336, 13295, 538, 5758, 1620, 2168, 3017, 1063, 1585, 14797, 2636, 721, 2744, 4514, 1702, 20553, 741, 1686, 2073, 4052, 946, 1604, 3976, 29000, 1318, 3903, 938, 1880, 2115, 2436, 3274, 5329, 13959, 5150, 337, 1753, 4677, 1101, 3478, 3238, 3742, 5026, 6735, 454, 18698, 19884, 18567, 540, 5637, 6601, 2644, 454, 2691, 6236, 519, 8965, 4162, 540, 1312, 14981, 267, 621, 568, 1271, 547, 2015, 741, 10080, 269, 634, 8241, 2701, 23311, 568, 606, 3742, 543, 10995, 9742, 26870, 4481, 585, 1200, 3429, 269, 1261, 568, 10332, 543, 18906, 633, 547, 1010, 1604, 267, 609, 513, 10121, 267, 8825, 2470, 269, 1261, 14560, 1480, 31070, 543, 3029, 2178, 7554, 3533, 609, 1010, 5411, 269, 769, 1840, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2188, 12018, 873, 269, 1284, 786, 2263, 875, 24917, 2096, 3019, 7552, 7426, 666, 3927, 1305, 5777, 585, 3309, 6990, 1247, 21924, 12434, 543, 4509, 6075, 9547, 780, 4089, 476, 280, 269, 272, 281, 4197, 12313, 10318, 1588, 11790, 692, 6524, 11362, 883, 1808, 14499, 2994, 267, 621, 568, 1898, 547, 1174, 2188, 7133, 3902, 8990, 538, 606, 3486, 4259, 1384, 320, 264, 8779, 12856, 281, 14992, 991, 547, 2015, 3790, 2404, 609, 6721, 5370, 610, 2533, 267, 6283, 9276, 267, 9204, 267, 29388, 267, 543, 824, 10997, 950, 8159, 5777, 13383, 269, 1452, 3790, 949, 4268, 3648, 1063, 2477, 1813, 547, 3604, 538, 2804, 2175, 267, 6042, 267, 543, 2845, 6750, 2591, 780, 321, 264, 24637, 18963, 281, 19901, 7375, 267, 4747, 2157, 267, 2686, 8155, 267, 543, 6735, 1369, 3077, 6990, 3310, 3747, 3270, 269, 24371, 1058, 5659, 2199, 7082, 2623, 547, 20688, 2472, 543, 5777, 9935, 780, 322, 264, 4354, 6275, 12071, 9822, 725, 281, 16510, 3928, 1404, 513, 1713, 1909, 538, 3486, 14499, 269, 589, 2178, 1753, 9304, 3448, 547, 4914, 19728, 1223, 1291, 547, 2539, 13143, 5777, 267, 6466, 513, 4617, 1753, 9304, 1522, 28173, 2362, 13143, 5777, 780, 323, 264, 13751, 22769, 281, 22749, 20818, 9993, 593, 14499, 2853, 630, 324, 3052, 1421, 5934, 759, 1446, 3902, 5826, 1040, 20871, 1590, 15666, 547, 971, 3652, 547, 2057, 3656, 8374, 780, 4089, 476, 280, 269, 273, 281, 5871, 4139, 623, 878, 532, 11150, 692, 5629, 5432, 609, 1883, 21876, 267, 1577, 721, 4983, 1455, 3486, 14499, 2994, 6964, 676, 3906, 5665, 2066, 2789, 6990, 1384, 320, 264, 4787, 21148, 623, 878, 532, 281, 4746, 1634, 607, 14167, 14499, 267, 1236, 21148, 3322, 4259, 1164, 3355, 5777, 585, 5499, 610, 2189, 17008, 269, 1306, 15712, 4283, 519, 2344, 267, 10909, 7930, 2569, 5777, 547, 2226, 2344, 2671, 269, 670, 821, 2096, 3019, 7552, 7426, 5356, 12600, 18353, 610, 16419, 15004, 1522, 9772, 713, 4640, 547, 31194, 593, 2038, 1719, 543, 9228, 1871, 780, 321, 264, 6755, 564, 1674, 623, 878, 532, 281, 2552, 9009, 547, 1236, 21148, 267, 21774, 14499, 5036, 1970, 3355, 5777, 547, 3533, 7001, 8101, 2344, 2671, 269, 4495, 3964, 267, 4213, 27261, 958, 2333, 5777, 269, 1280, 6578, 24917, 2096, 3019, 15143, 610, 1447, 2442, 18353, 267, 713, 1935, 1223, 4482, 1942, 23655, 6800, 543, 15658, 1761, 15712, 780, 322, 264, 14847, 1438, 3474, 640, 623, 878, 532, 281, 1879, 1210, 8013, 26027, 14499, 267, 4213, 6474, 30347, 262, 5777, 1369, 2147, 2344, 12415, 269, 1635, 5464, 2841, 3218, 3527, 267, 24917, 2096, 3019, 7552, 7426, 2327, 789, 2611, 8013, 1510, 24254, 11991, 3902, 10617, 780, 323, 264, 10025, 15369, 623, 878, 532, 281, 901, 4640, 15109, 5561, 262, 11994, 540, 1587, 4502, 2864, 982, 13461, 9003, 593, 2504, 3790, 269, 1403, 7218, 3810, 1871, 10531, 24917, 2096, 3019, 4058, 2533, 610, 7463, 2833, 267, 3028, 7426, 949, 5279, 811, 982, 15712, 945, 798, 711, 2709, 891, 2934, 780, 324, 264, 16723, 623, 878, 532, 281, 22034, 5626, 14499, 12485, 899, 19259, 14499, 18121, 275, 4200, 3079, 540, 1269, 4335, 264, 666, 1711, 2192, 16272, 540, 1732, 9388, 267, 8716, 6455, 269, 1717, 267, 922, 7145, 9775, 4470, 593, 2686, 8658, 543, 6746, 2329, 1983, 1851, 6098, 5095, 780, 325, 264, 25143, 548, 623, 878, 532, 281, 26157, 14911, 2472, 610, 2533, 693, 31680, 3928, 7512, 909, 18522, 3255, 269, 670, 821, 2096, 3019, 10189, 9388, 8537, 540, 22098, 267, 6980, 267, 2238, 267, 543, 19132, 12013, 1518, 22753, 14499, 780, 4089, 476, 280, 269, 274, 281, 25674, 623, 878, 532, 543, 4706, 10241, 692, 291, 29174, 14499, 4188, 338, 5777, 11179, 1759, 593, 3761, 267, 3747, 267, 543, 5007, 2188, 971, 607, 4365, 2242, 610, 2101, 2621, 269, 5794, 6050, 543, 20730, 4749, 946, 6422, 14499, 3631, 547, 11126, 19614, 2687, 547, 11385, 908, 5003, 3599, 3928, 543, 12119, 7648, 780, 2690, 3236, 267, 1282, 8445, 16806, 12405, 267, 2799, 3747, 585, 24917, 2096, 3019, 15143, 2636, 7426, 547, 6318, 5777, 17303, 269, 6684, 267, 2067, 12469, 610, 2797, 16132, 538, 1978, 18353, 1522, 15549, 10151, 3902, 20214, 547, 12954, 1433, 902, 11992, 780, 6962, 692, 303, 878, 532, 4564, 1312, 1148, 543, 2257, 282, 8939, 3617, 3486, 14499, 2994, 3340, 6297, 7156, 540, 3875, 4632, 269, 21988, 6388, 7569, 9488, 1382, 267, 2834, 2344, 5464, 267, 13916, 267, 543, 5876, 269, 20331, 609, 1702, 4843, 23954, 267, 14971, 4648, 1631, 4865, 13654, 2645, 2556, 547, 28433, 2500, 3486, 14499, 2994, 538, 1585, 6080, 267, 3226, 519, 29988, 24917, 2096, 3019, 2951, 5823, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 295, 821, 2096, 3019, 25676, 10369, 12618, 267, 23917, 267, 21073, 267, 12367, 543, 5983, 4751, 476, 1708, 273, 454, 295, 821, 2096, 3019, 25676, 10369, 568, 3177, 538, 519, 1867, 1759, 593, 1587, 9165, 543, 2344, 4567, 1299, 19773, 269, 634, 2344, 568, 5302, 7757, 593, 519, 4493, 540, 1826, 267, 1439, 268, 22852, 270, 1952, 997, 566, 267, 543, 11585, 269, 634, 1867, 2488, 1344, 827, 519, 2504, 267, 3902, 267, 8907, 267, 2344, 2671, 267, 543, 2208, 2557, 540, 1142, 1826, 269, 2983, 25140, 267, 519, 2344, 814, 1044, 9916, 2066, 3345, 3013, 267, 2342, 267, 3624, 267, 3567, 267, 14913, 5607, 267, 543, 3127, 269, 634, 4567, 543, 19175, 998, 476, 1001, 273, 268, 1708, 273, 585, 1142, 540, 891, 4525, 616, 7396, 538, 519, 1867, 563, 7476, 12726, 287, 4179, 2517, 4178, 18622, 14142, 2041, 600, 2593, 270, 29514, 3620, 821, 2096, 3019, 2389, 8692, 20695, 3613, 9850, 7146, 268, 1150, 4751, 268, 1708, 273, 27360, 564, 270, 7528, 652, 1606, 2217, 454, 763, 1867, 14122, 519, 12007, 543, 11050, 2079, 540, 1699, 543, 2104, 2344, 3934, 725, 269, 898, 849, 2820, 592, 2471, 3877, 827, 519, 7154, 540, 1382, 12191, 1031, 585, 519, 1353, 269, 898, 2882, 1239, 689, 3119, 607, 1134, 607, 6281, 2200, 269, 634, 1867, 568, 513, 3730, 4199, 585, 2872, 5716, 267, 1007, 679, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17220, 623, 878, 532, 11150, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 4139, 1315, 16373, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 689, 4893, 984, 344, 5052, 547, 17254, 17879, 5052, 610, 689, 17254, 17879, 5052, 547, 4893, 984, 344, 5052, 269, 769, 3059, 19106, 519, 3758, 2450, 568, 2356, 6027, 538, 4893, 984, 344, 5052, 267, 19251, 17879, 5052, 543, 17254, 17879, 5052, 269, 769, 1931, 547, 1685, 519, 7503, 689, 22995, 547, 26838, 267, 4283, 519, 1871, 540, 519, 3758, 2450, 538, 737, 321, 1106, 2361, 269, 1548, 568, 8273, 15406, 610, 26838, 286, 910, 2372, 7702, 0, 17780, 593, 513, 1007, 8760, 540, 5690, 1374, 2553, 543, 513, 2312, 30431, 566, 540, 2079, 2409, 267, 4985, 547, 519, 5071, 543, 5811, 540, 27122, 6799, 519, 1641, 538, 513, 17396, 543, 5499, 6073, 269, 18838, 538, 513, 2875, 7888, 2511, 267, 519, 1433, 11363, 519, 1620, 540, 2093, 936, 23494, 6101, 2126, 1247, 8499, 8720, 519, 1570, 2838, 538, 606, 4429, 2304, 2502, 2606, 1257, 547, 5276, 7223, 585, 1007, 1053, 10024, 6280, 543, 13059, 9921, 21943, 1053, 269, 898, 6663, 547, 1118, 2565, 15821, 2035, 2653, 547, 1174, 563, 272, 2983, 6248, 966, 26662, 454, 272, 269, 272, 18827, 540, 12166, 10321, 454, 272, 269, 273, 18527, 676, 513, 22185, 454, 272, 269, 274, 25513, 540, 10321, 454, 272, 269, 275, 5903, 540, 3730, 3601, 454, 272, 269, 276, 634, 9511, 540, 6252, 9999, 454, 273, 19024, 3267, 0, 307, 4382, 983, 2860, 6589, 585, 1152, 835, 2600, 540, 782, 2010, 540, 11871, 602, 2049, 538, 2367, 282, 2705, 267, 5868, 3928, 18214, 609, 1169, 8429, 1032, 269, 901, 2783, 568, 849, 8966, 950, 3379, 547, 824, 11871, 607, 621, 11148, 547, 1860, 7820, 2367, 1765, 17141, 9907, 1063, 476, 1428, 543, 476, 5392, 1765, 24392, 621, 666, 1459, 693, 1022, 3942, 538, 1272, 563, 26876, 1591, 1449, 7781, 2860, 568, 519, 1034, 1455, 1826, 267, 1818, 909, 476, 4817, 2600, 540, 782, 2665, 269, 2885, 2281, 19411, 622, 547, 1118, 909, 519, 14203, 538, 519, 1560, 269, 1703, 616, 1079, 23658, 20975, 540, 10351, 1591, 1449, 7781, 2860, 281, 5033, 514, 5448, 543, 1875, 5498, 2381, 5448, 563, 306, 655, 514, 5448, 568, 513, 3500, 21212, 1106, 540, 2860, 4122, 1336, 538, 2367, 538, 741, 476, 1789, 338, 543, 476, 2412, 338, 269, 901, 1826, 568, 2356, 1336, 538, 519, 1449, 525, 855, 666, 849, 3262, 547, 824, 4025, 971, 607, 519, 9726, 9136, 269, 12054, 514, 5557, 1631, 2272, 585, 476, 2004, 268, 4649, 2600, 540, 2665, 540, 1449, 7781, 2860, 538, 519, 5177, 563, 15239, 5498, 2381, 5448, 9428, 811, 3533, 982, 5033, 514, 5448, 282, 519, 6084, 712, 568, 2356, 1500, 909, 540, 513, 2582, 1826, 540, 1591, 855, 568, 3006, 6404, 269, 1703, 616, 2185, 1292, 1016, 18196, 540, 1875, 5498, 2381, 5448, 281, 11616, 4689, 26217, 267, 586, 13083, 5485, 26217, 267, 669, 9461, 665, 32555, 5448, 543, 1768, 520, 5448, 563, 763, 3355, 2126, 4781, 585, 1034, 2665, 540, 1449, 7781, 2860, 568, 547, 723, 519, 4299, 1449, 1834, 6569, 630, 528, 14024, 26618, 1040, 634, 8851, 540, 513, 2582, 1449, 1834, 12582, 1406, 1860, 12680, 610, 2834, 4638, 3252, 563, 21206, 2126, 4566, 786, 4096, 593, 519, 3942, 543, 1826, 540, 2860, 538, 519, 3461, 269, 769, 930, 2665, 267, 513, 1576, 540, 18068, 610, 2234, 23956, 786, 1246, 519, 8851, 6391, 269, 1403, 519, 10629, 568, 8746, 538, 707, 2783, 267, 789, 949, 2303, 13178, 585, 513, 1906, 1296, 19952, 269, 12054, 514, 5557, 723, 1044, 1634, 547, 4431, 1134, 547, 18068, 543, 2234, 23956, 5574, 269, 6348, 5498, 2381, 5557, 949, 849, 3747, 513, 2110, 1576, 540, 18068, 610, 513, 4999, 540, 6527, 269, 1403, 519, 2860, 568, 11636, 267, 3606, 6391, 949, 581, 2556, 563, 763, 10171, 540, 3384, 2860, 786, 4096, 593, 513, 4999, 540, 2188, 971, 607, 2085, 267, 11976, 267, 2732, 543, 6197, 269, 634, 5730, 2014, 540, 1449, 7781, 2860, 568, 1869, 7164, 267, 5103, 9488, 2564, 7634, 269, 589, 1906, 4220, 723, 1044, 4857, 602, 949, 4734, 513, 1268, 811, 7925, 547, 3384, 519, 2783, 269, 1452, 1331, 6939, 25403, 573, 1143, 267, 1920, 1686, 543, 3105, 1449, 7781, 2860, 563, 290, 7973, 25403, 573, 1143, 269, 9093, 609, 6939, 25403, 573, 1143, 267, 610, 19888, 322, 2105, 1449, 2873, 267, 616, 1614, 2053, 811, 2693, 547, 1020, 1449, 7781, 2860, 982, 1346, 4171, 1449, 2873, 26731, 693, 4332, 610, 711, 1279, 1310, 269, 1280, 713, 2601, 267, 621, 568, 1271, 585, 519, 1449, 525, 547, 13956, 883, 519, 1085, 8527, 636, 267, 952, 711, 6923, 1287, 998, 606, 5106, 1572, 606, 28722, 641, 1410, 344, 563, 23991, 1686, 269, 19198, 609, 513, 1686, 540, 1449, 7781, 2860, 1419, 1294, 519, 2783, 31272, 792, 538, 519, 7820, 5481, 269, 2368, 6090, 723, 1044, 5532, 547, 519, 2068, 267, 3056, 930, 547, 1179, 3634, 602, 621, 949, 581, 513, 22420, 2783, 269, 2311, 519, 4090, 267, 713, 568, 1869, 513, 3069, 282, 1382, 593, 519, 3095, 1063, 1449, 7781, 2860, 543, 1978, 6090, 568, 1869, 5571, 563, 28095, 1449, 7781, 2860, 269, 4340, 547, 519, 23244, 267, 2367, 616, 2185, 547, 476, 1321, 2053, 811, 2693, 547, 1020, 1449, 7781, 2860, 952, 789, 723, 5892, 1044, 8995, 609, 621, 269, 2060, 713, 538, 2247, 267, 621, 568, 16122, 602, 3105, 24412, 2638, 2933, 5781, 585, 9963, 4191, 543, 7390, 1246, 5346, 20499, 563, 8110, 14127, 513, 1582, 981, 454, 3519, 2265, 513, 10865, 2638, 547, 3713, 1022, 4191, 540, 1449, 7781, 2860, 538, 922, 2038, 5933, 22924, 949, 4688, 707, 1272, 269, 7427, 891, 2241, 3268, 912, 268, 6744, 835, 1449, 1834, 693, 513, 942, 563, 268, 28528, 5066, 519, 1449, 1834, 1063, 519, 555, 29304, 543, 2062, 325, 532, 619, 540, 1312, 3946, 563, 268, 18461, 585, 2182, 561, 7927, 267, 5347, 610, 5180, 561, 7927, 543, 2242, 538, 2450, 610, 3337, 563, 1432, 952, 594, 3713, 1945, 12150, 888, 10673, 1406, 11716, 707, 2589, 269, 1403, 596, 5469, 1022, 540, 891, 10832, 610, 1928, 538, 707, 1085, 8527, 636, 267, 3346, 707, 4387, 610, 579, 6331, 626, 12544, 579, 6331, 626, 568, 519, 1034, 11727, 19995, 547, 6166, 713, 2186, 540, 5868, 563, 21652, 344, 9133, 281, 519, 17643, 568, 519, 1655, 1747, 547, 2932, 513, 1449, 7781, 981, 282, 519, 9252, 6001, 525, 519, 2960, 543, 2306, 3350, 4443, 269, 0, 22137, 723, 3254, 602, 519, 2179, 540, 4747, 15161, 7118, 568, 2047, 1644, 547, 519, 2179, 540, 2069, 789, 723, 4607, 267, 5976, 519, 2362, 519, 1377, 540, 2069, 267, 519, 2362, 519, 3328, 5993, 4747, 269, 1280, 713, 2601, 267, 2069, 267, 1498, 621, 3112, 4194, 519, 7525, 991, 810, 325, 7694, 267, 8027, 267, 2564, 1416, 267, 543, 3656, 5796, 267, 568, 1898, 538, 6061, 1492, 1279, 24365, 1966, 540, 6710, 269, 6097, 547, 713, 5037, 267, 799, 835, 540, 519, 31742, 532, 6898, 568, 3020, 888, 288, 269, 1703, 568, 513, 1463, 2078, 1063, 2179, 540, 2069, 543, 540, 4747, 269, 645, 269, 4065, 666, 4194, 782, 519, 2042, 540, 6710, 269, 595, 269, 634, 7525, 991, 540, 1004, 609, 1970, 26038, 568, 2069, 269, 667, 269, 769, 519, 1279, 2196, 267, 2069, 666, 798, 2370, 547, 4194, 519, 6710, 2042, 269, 0, 24922, 15565, 930, 3461, 5095, 616, 693, 2362, 1981, 540, 3478, 1360, 7210, 689, 713, 5046, 268, 866, 4576, 269, 901, 2882, 912, 2252, 596, 616, 693, 2362, 1981, 585, 3978, 4576, 689, 5046, 268, 866, 1317, 540, 707, 2085, 610, 1317, 596, 723, 513, 3978, 1279, 3856, 1072, 1966, 267, 621, 568, 3063, 1271, 585, 596, 547, 1491, 3527, 547, 2569, 707, 1981, 540, 3478, 7210, 609, 519, 2068, 563, 1805, 516, 696, 19905, 989, 531, 716, 23706, 630, 27026, 645, 994, 1805, 516, 696, 19905, 7510, 4094, 525, 630, 27026, 589, 994, 309, 534, 1260, 344, 11142, 18650, 6090, 454, 300, 996, 27957, 4187, 5444, 454, 307, 564, 6483, 743, 710, 4187, 6090, 454, 17239, 309, 267, 918, 15425, 20492, 630, 12218, 589, 12498, 14915, 600, 848, 264, 0, 276, 540, 782, 2009, 5203, 525, 476, 277, 563, 276, 4279, 652, 1281, 711, 1611, 1655, 269, 1717, 2676, 1492, 6574, 1590, 1331, 519, 5207, 1434, 630, 553, 1134, 607, 519, 6574, 9409, 1916, 277, 901, 25195, 568, 3957, 519, 4909, 6240, 540, 454, 5471, 7469, 12695, 543, 9861, 563, 1607, 568, 519, 1883, 547, 454, 320, 2048, 9418, 21042, 12695, 8730, 2919, 2630, 267, 607, 8810, 1702, 540, 519, 7122, 454, 1692, 568, 713, 1634, 286, 2913, 721, 1397, 621, 547, 581, 3020, 563, 288, 1373, 476, 278, 454, 529, 606, 2291, 550, 282, 9861, 476, 279, 454, 6546, 568, 267, 2048, 320, 1373, 685, 568, 3274, 602, 799, 949, 581, 4570, 569, 2392, 5344, 454, 5560, 525, 8282, 264, 676, 930, 1106, 540, 519, 8231, 547, 581, 269, 634, 3044, 3029, 971, 454, 553, 2048, 529, 685, 543, 2048, 26200, 685, 616, 13385, 585, 2048, 320, 1373, 685, 949, 3277, 547, 1945, 454, 7474, 2048, 529, 1934, 685, 543, 2048, 26200, 972, 685, 630, 1492, 10539, 540, 13737, 1459, 543, 2250, 454, 680, 1116, 568, 1152, 7805, 585, 621, 568, 4847, 602, 513, 2048, 2251, 685, 949, 9062, 543, 454, 7474, 513, 3818, 13109, 949, 6443, 607, 835, 1916, 9616, 602, 538, 6031, 2048, 320, 1373, 568, 602, 799, 949, 581, 454, 20777, 569, 2392, 5344, 2507, 685, 621, 568, 22466, 602, 513, 1373, 568, 711, 1175, 519, 454, 2251, 32717, 1345, 855, 519, 1523, 7146, 268, 2251, 269, 898, 568, 711, 1373, 1767, 602, 454, 935, 576, 1516, 5932, 9861, 855, 602, 519, 1079, 616, 3808, 1927, 269, 6333, 267, 585, 454, 9987, 267, 513, 7823, 269, 1284, 723, 513, 973, 565, 21124, 3239, 540, 10239, 799, 6087, 454, 13440, 10744, 540, 513, 7823, 607, 513, 7823, 269, 1809, 1018, 568, 519, 7823, 3294, 888, 1692, 798, 649, 917, 621, 286, 1284, 917, 621, 267, 1101, 267, 689, 519, 3239, 602, 6013, 538, 938, 454, 23024, 1466, 282, 2034, 569, 649, 949, 3802, 1472, 543, 547, 621, 267, 5905, 621, 543, 18214, 621, 454, 663, 2070, 621, 689, 1114, 7285, 28559, 782, 602, 27861, 538, 543, 1152, 538, 454, 23024, 1466, 282, 1287, 649, 949, 1491, 538, 519, 5359, 540, 1866, 543, 17027, 454, 13231, 625, 540, 10239, 543, 865, 593, 11652, 782, 602, 27861, 538, 543, 1152, 538, 454, 23024, 1466, 269, 769, 6031, 602, 2048, 718, 602, 27861, 538, 543, 1152, 538, 1995, 685, 621, 454, 529, 5921, 602, 1247, 649, 949, 1589, 972, 568, 6662, 1344, 3564, 454, 23024, 1466, 267, 621, 7140, 856, 602, 602, 2417, 1344, 568, 711, 3564, 454, 23024, 1466, 630, 6518, 1281, 711, 1611, 602, 972, 568, 1100, 6662, 1344, 538, 454, 1492, 2631, 540, 6325, 1344, 855, 6662, 1344, 538, 519, 2631, 540, 454, 8072, 1993, 519, 1843, 685, 568, 2760, 1175, 540, 519, 1843, 855, 949, 581, 607, 952, 540, 519, 454, 15953, 1040, 2334, 568, 621, 568, 538, 519, 9759, 540, 513, 3364, 454, 528, 1843, 568, 602, 621, 568, 513, 454, 935, 1061, 268, 15953, 1765, 328, 4318, 1421, 3615, 616, 9247, 1523, 268, 15953, 338, 630, 1492, 2165, 454, 15953, 4061, 568, 711, 11658, 547, 2048, 2251, 685, 855, 568, 9838, 547, 454, 8072, 1410, 11962, 685, 1040, 1656, 513, 9039, 343, 11962, 1843, 454, 16673, 581, 3989, 607, 513, 1523, 268, 15953, 585, 799, 519, 1843, 568, 14275, 563, 763, 946, 540, 2048, 18455, 685, 1934, 568, 1114, 689, 930, 540, 922, 1455, 543, 454, 874, 3342, 28441, 3096, 269, 634, 3017, 568, 602, 6466, 621, 568, 1419, 1031, 547, 1611, 454, 31138, 899, 2048, 1492, 9759, 540, 1018, 568, 685, 610, 2048, 1492, 2362, 3029, 540, 6228, 20371, 1877, 621, 3274, 1797, 2048, 6343, 568, 9957, 594, 786, 2132, 547, 713, 1448, 693, 519, 1439, 540, 454, 2026, 3989, 1934, 267, 2048, 18455, 685, 630, 5115, 1388, 1242, 264, 568, 606, 454, 1952, 30068, 24735, 1523, 585, 621, 10039, 547, 2048, 22336, 2251, 9957, 898, 814, 4061, 454, 2041, 523, 1572, 513, 1875, 1523, 269, 1809, 621, 568, 711, 513, 1875, 1523, 1765, 337, 1430, 621, 568, 1875, 454, 29171, 3234, 22922, 269, 1656, 538, 602, 2631, 621, 568, 24735, 269, 1717, 267, 922, 946, 267, 607, 2938, 454, 514, 1018, 5205, 267, 568, 1875, 24735, 269, 13298, 267, 621, 949, 581, 4330, 607, 2048, 2889, 11398, 17483, 1692, 568, 602, 888, 1103, 519, 1101, 1747, 2048, 7474, 799, 6818, 685, 568, 513 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 763, 3741, 1287, 593, 799, 713, 960, 568, 13401, 267, 616, 954, 342, 8576, 609, 267, 543, 4909, 547, 267, 513, 2565, 1702, 540, 1169, 1893, 269, 9747, 835, 3768, 22866, 6644, 814, 1044, 6829, 676, 519, 8106, 16159, 267, 602, 5811, 267, 729, 519, 1152, 1505, 267, 676, 799, 621, 729, 2009, 547, 12446, 693, 267, 543, 1745, 519, 2407, 3196, 540, 513, 7623, 267, 610, 12045, 2262, 269, 2290, 6264, 1843, 538, 519, 1353, 540, 519, 27825, 267, 568, 547, 10536, 606, 3573, 1702, 267, 543, 4971, 267, 540, 1893, 269, 898, 568, 5156, 602, 519, 3741, 2919, 538, 713, 2370, 1433, 267, 616, 519, 1360, 3741, 676, 799, 1169, 3621, 812, 568, 11461, 267, 543, 593, 799, 26520, 782, 1010, 2565, 1702, 538, 1022, 1893, 563, 18871, 1538, 18319, 1475, 299, 6403, 978, 7699, 661, 1598, 1052, 4275, 910, 769, 6921, 17845, 338, 347, 0, 1432, 568, 606, 18909, 1849, 822, 1834, 4530, 888, 28122, 804, 822, 1834, 568, 849, 1634, 607, 519, 29523, 665, 15442, 7781, 10549, 269, 634, 29523, 665, 15442, 7781, 10549, 666, 581, 2938, 593, 519, 18909, 11571, 630, 17092, 297, 1040, 1452, 616, 13883, 1141, 519, 27897, 5642, 630, 10193, 1634, 607, 519, 804, 822, 1834, 264, 10742, 519, 29523, 636, 630, 3691, 770, 14752, 1040, 1452, 7633, 616, 4371, 1927, 676, 513, 3060, 540, 28587, 267, 1148, 7781, 20162, 267, 543, 28844, 267, 538, 1840, 547, 1373, 6462, 676, 13285, 563, 3963, 568, 621, 2944, 888, 17307, 3674, 1397, 29840, 532, 8031, 5693, 269, 589, 11632, 11571, 568, 9120, 585, 23235, 9221, 543, 5761, 2152, 543, 930, 30279, 17473, 269, 898, 781, 5140, 585, 17655, 28587, 267, 28844, 267, 519, 11983, 10260, 267, 543, 824, 2571, 8031, 563, 1432, 568, 519, 5650, 585, 519, 1849, 822, 1834, 18909, 30587, 4530, 888, 763, 18909, 10237, 6048, 786, 2491, 563, 1692, 1281, 835, 5965, 585, 519, 1449, 888, 5591, 1416, 568, 2838, 563, 21798, 540, 18909, 2480, 534, 1849, 822, 1834, 4530, 538, 16156, 912, 763, 25080, 16982, 9196, 630, 28122, 264, 1942, 585, 519, 1849, 822, 1834, 4530, 538, 16156, 6238, 693, 5442, 305, 476, 279, 267, 1822, 269, 7246, 17395, 589, 13698, 312, 16774, 21398, 10498, 570, 12239, 590, 21283, 4041, 454, 347, 14818, 7392, 1475, 28122, 1849, 822, 1834, 2008, 347, 27751, 12726, 10573, 8698, 543, 8281, 7797, 2008, 1911, 260, 15822, 1299, 5754, 8162, 545, 454, 12709, 12726, 17292, 1575, 454, 8698, 7797, 6732, 0, 289, 749, 781, 25097, 344, 267, 849, 1634, 607, 11132, 25097, 344, 267, 568, 513, 2783, 602, 3123, 6727, 543, 10151, 8467, 610, 26900, 540, 519, 11132, 6091, 269, 634, 2630, 2376, 3877, 519, 1482, 563, 289, 749, 781, 25097, 344, 267, 849, 1572, 11132, 25097, 344, 267, 3123, 6727, 610, 10151, 26900, 267, 610, 8467, 267, 540, 11132, 6091, 269, 634, 2783, 729, 1101, 4330, 676, 513, 13677, 18874, 267, 11184, 8176, 13852, 267, 538, 519, 476, 866, 628, 2540, 269, 634, 3169, 2014, 568, 7164, 267, 855, 4966, 3494, 621, 949, 2049, 607, 513, 5114, 1310, 513, 10194, 3968, 267, 4929, 11926, 543, 6553, 540, 519, 8229, 602, 8060, 11132, 6091, 630, 572, 22770, 22623, 658, 8229, 1040, 634, 8467, 2306, 513, 11132, 5323, 641, 593, 835, 2427, 610, 267, 10355, 267, 1312, 5011, 269, 769, 1840, 267, 972, 568, 513, 561, 3591, 3660, 610, 835, 21758, 12837, 543, 606, 22442, 573, 602, 759, 1235, 14656, 269, 1452, 2360, 2356, 2087, 1369, 513, 1906, 4374, 267, 609, 2347, 6051, 538, 827, 3670, 3275, 269, 1809, 19890, 267, 930, 1004, 949, 3136, 547, 723, 930, 13852, 781, 25097, 344, 2589, 585, 1272, 269, 27824, 569, 13852, 781, 25097, 344, 4386, 811, 982, 2899, 538, 513, 10715, 267, 543, 519, 24088, 568, 1034, 2693, 547, 4755, 1369, 1079, 1296, 540, 519, 1101, 10071, 563, 763, 3169, 2601, 585, 13852, 781, 25097, 344, 568, 1869, 7164, 267, 855, 519, 11841, 540, 13852, 781, 25097, 344, 568, 1644, 547, 4598, 547, 513, 10194, 3968, 267, 799, 3123, 6553, 540, 519, 11132, 8229, 269, 634, 2783, 3335, 4386, 950, 11926, 610, 6553, 689, 513, 10194, 3968, 17303, 12662, 2604, 593, 519, 8229, 602, 8060, 11132, 6091, 630, 572, 22770, 22623, 658, 8229, 1040, 901, 2604, 14796, 519, 8229, 1599, 267, 1818, 621, 2352, 547, 1852, 11132, 6091, 610, 7215, 269, 1717, 267, 607, 519, 6553, 7449, 1938, 267, 519, 8229, 6238, 8647, 1586, 269, 5164, 4926, 602, 616, 1634, 547, 2014, 13852, 781, 25097, 344, 1331, 912, 1103, 2739, 1190, 1395, 31265, 2670, 630, 22977, 7322, 5174, 1551, 1916, 290, 1245, 21399, 543, 19058, 15601, 630, 615, 6647, 2241, 343, 1916, 2419, 1157, 523, 21479, 543, 30133, 630, 615, 6647, 1990, 8803, 1916, 23389, 27330, 630, 13041, 7578, 1916, 4910, 21732, 10108, 630, 23565, 21552, 1916, 300, 7927, 630, 332, 7927, 3644, 1916, 31880, 630, 8882, 1663, 27833, 645, 1916, 21652, 20356, 7146, 2173, 1926, 2068, 630, 1723, 343, 338, 871, 773, 341, 6400, 1916, 295, 4353, 630, 16058, 6375, 32759, 3644, 1916, 289, 749, 781, 25097, 344, 2589, 1419, 2097, 10393, 543, 3914, 8445, 10335, 1369, 476, 4366, 547, 476, 7761, 3108, 269, 2755, 930, 1004, 949, 1020, 7646, 2589, 267, 1866, 949, 1995, 2347, 26900, 563, 763, 2589, 1376, 5355, 7930, 538, 1614, 4374, 269, 27051, 476, 3199, 4939, 540, 1004, 4628, 9156, 543, 1397, 1100, 4191, 610, 2589, 540, 13852, 781, 25097, 344, 1369, 1614, 3275, 269, 2368, 540, 519, 4191, 543, 2589, 540, 13852, 781, 25097, 344, 1331, 281, 769, 1840, 547, 11132, 5323, 14563, 267, 4191, 540, 13852, 781, 25097, 344, 1331, 912, 11795, 22187, 6340, 267, 4189, 267, 610, 6704, 563, 11795, 22187, 1818, 11132, 7215, 593, 519, 4299, 2427, 563, 23562, 26677, 540, 519, 11132, 6091, 563, 299, 1601, 540, 6492, 563, 293, 18432, 610, 1274, 1928, 563, 305, 15781, 538, 519, 10772, 630, 339, 11624, 1916, 306, 27383, 547, 4992, 563, 24965, 1027, 17229, 543, 19975, 2504, 563, 30999, 553, 1308, 11132, 31018, 563, 29995, 267, 835, 2427, 540, 519, 11132, 8229, 568, 4299, 267, 855, 13285, 593, 1312, 5011, 616, 3238, 538, 26742, 19631, 2665, 267, 4929, 24845, 2589, 563, 289, 749, 781, 25097, 344, 666, 8449, 1860, 2367, 543, 2021, 540, 1022, 2085, 269, 1717, 267, 1004, 609, 519, 1739, 2175, 616, 811, 12155, 547, 13852, 781, 25097, 344, 912, 23991, 1686, 540, 13852, 781, 25097, 344, 563, 290, 1245, 21399, 630, 615, 6647, 2241, 343, 3644, 1916, 11947, 1973, 2604, 630, 30104, 11364, 1916, 12507, 31265, 2670, 630, 22977, 7322, 5174, 1551, 3644, 1916, 306, 3107, 956, 630, 615, 6647, 1990, 8803, 3644, 1916, 303, 27389, 3599, 267, 3226, 1282, 519, 3791, 959, 30478, 543, 513, 3018, 2022, 268, 6765, 563, 308, 3899, 7929, 8778, 5563, 267, 971, 607, 4411, 543, 2770, 563, 2467, 568, 1100, 1808, 10368, 1449, 585, 13852, 781, 25097, 344, 269, 5502, 267, 519, 3782, 8502, 666, 13209, 519, 2783, 1759, 593, 922, 2589, 269, 4033, 2175, 267, 971, 607, 8482, 267, 26878, 1355, 2670, 267, 5563, 267, 543, 25425, 2068, 267, 666, 849, 2014, 11132, 26900, 602, 20998, 13852, 781, 25097, 344, 269, 1924, 267, 952, 519, 2589, 616, 711, 7805, 267, 519, 3782, 8502, 949, 4363, 519, 1739, 4255, 547, 4341, 856, 519, 824, 3123, 912, 26108, 18873, 281, 10552, 4255, 666, 581, 2944, 547, 4341, 856, 2175, 971, 607, 25425, 2068, 610, 824, 5563, 563, 16978, 668, 344, 2762, 630, 4932, 294, 2567, 901, 1449, 666, 581, 2944, 547, 2268, 8229, 3441, 543, 922, 10335, 269, 634, 1449, 849, 2337, 519, 8502, 3589, 875, 3533, 519, 1268, 609, 13852, 781, 25097, 344, 786, 9156, 563, 300, 8568, 1763, 28585, 24919, 630, 28122, 264, 610, 6156, 539, 8751, 2762, 630, 6311, 2567, 1452, 18767, 616, 2944, 547, 4341, 856, 824, 2959, 540, 2604, 593, 519, 11132, 8229, 267, 899, 12970, 610, 15693, 18655, 563, 289, 749, 781, 25097, 344, 1419, 10607, 609, 610, 1510, 2126, 269, 1703, 568, 1100, 1808, 2126, 585, 13852, 781, 25097, 344, 269, 12846, 267, 519, 3782, 8502, 949, 4363, 835, 610, 811, 540, 519, 1739, 6527, 610, 2168, 3797, 585, 10835, 8323, 543, 5488, 6051, 912, 302, 1537, 29416, 8803, 6950, 267, 971, 607, 20530, 23036, 821, 267, 616, 3532, 4550, 13611, 8069, 602, 2569, 8229, 11926, 543, 948, 22919, 11132, 3350, 5488, 269, 595, 20294, 8803, 6950, 616, 1034, 2500, 950, 789, 616, 3323, 1369, 476, 4366, 3108, 540, 711, 6005, 2589, 269, 769, 1840, 267, 950, 3323, 2038, 267, 29416, 8803, 6950, 2087, 519, 10171, 540, 2347, 6051, 563, 12901, 643, 12637, 5061, 267, 971, 607, 589, 7094, 990, 597, 585, 15601, 267, 949, 3432, 6051, 267, 4352, 621, 568, 1869, 15458, 875, 6225, 789, 616, 269, 1879, 5916, 609, 5711, 29416, 8803, 6950, 267, 17617, 597, 1023, 949, 4324, 930, 1004, 609, 13852, 781, 25097, 344, 267, 855, 621, 568, 1869, 796, 2889, 1597, 269, 4165, 643, 12637, 5061, 267, 971, 607, 4406, 2329, 743, 990, 597, 610, 589, 7094, 990, 597, 267, 616, 3006, 11311, 538, 14966, 609, 20530, 23036, 821, 538, 1004, 609, 4049, 13852, 781, 25097, 344, 563, 292, 26191, 28979, 267, 971, 607, 5841, 17229, 267, 948, 865, 6139, 3819, 267, 8886, 730, 4064, 269, 1717, 267, 952, 519, 22442, 573, 1281, 711, 2673, 267, 835, 949, 991, 547, 5957, 606, 3750, 15429, 547, 2149, 519, 3750, 689, 7063, 543, 8886, 1218, 563, 288, 2168, 13309, 666, 948, 4001, 875, 547, 18552, 543, 3635, 519, 11132, 6091, 547, 948, 2061, 1612, 3315, 7458, 6091, 689, 16756, 532, 543, 2110, 2287, 563, 5719, 4818, 1833, 6391, 729, 7620, 1031, 547, 24390, 519, 2604, 593, 519, 11132, 8229, 543, 8897, 2604, 593, 519, 8229, 269, 1809, 1631, 267, 621, 568, 10355, 5340, 1317, 540, 519, 4220, 2404, 609, 713, 6391, 267, 1519, 8628, 6217, 2530, 543, 11132, 8229, 3441, 563, 293, 18432, 556, 534, 11582, 6391, 949, 581, 1031, 547, 1118, 513, 3068, 1413, 811, 1256, 543, 11177, 11132, 3350, 269, 6270, 23361, 1331, 606, 22442, 573, 12740, 267, 32071, 992, 12740, 267, 11132, 18032, 267, 543, 8229, 21910, 338, 563, 29995, 267, 519, 13852, 781, 25097, 344, 2589, 28201, 1310, 513, 7008, 540, 4374, 267, 543, 1004, 9156, 4628, 1369, 3670, 3275, 269, 1809, 4049, 2665, 540, 2698, 26900, 949, 2014, 519, 1739, 8374, 912, 296, 337, 516, 23983, 11132, 8229, 3441, 563, 26239, 330, 1149, 529, 281, 634, 12150, 610, 9402, 1036, 9512, 540, 8229, 11103, 949, 1267, 538, 519, 32246, 19432, 540, 1978, 6091, 950, 3843, 547, 1847, 824, 6091, 269, 1280, 1383, 267, 950, 513, 1268, 13290, 547, 12837, 267, 519, 3750, 593, 519, 4299, 2427, 32195, 593, 922, 1378, 563, 8512, 658, 610, 13159, 32559, 1145, 540, 519, 16685, 281, 634, 3750, 3587, 3819, 1317, 540, 519, 17418, 547, 2673, 519, 22442, 1749, 269, 901, 4523, 1813, 547, 7050, 3819, 1145, 543, 31153, 540, 519, 2312, 8825, 8720, 540, 519, 3750, 1572, 519, 31894, 563, 763, 23567, 585, 1004, 609, 13852, 781, 25097, 344, 568, 2356, 1434, 269, 4107, 1004, 609, 13852, 781, 25097, 344, 9156, 609, 610, 1510, 2126, 269, 1717, 267, 621, 568, 1898, 547, 5469, 513, 16795, 1447, 2287, 540, 2589, 1369, 513, 1906, 4374, 269, 13159, 6051, 666, 1491, 1079, 547, 3670, 3275, 267, 4470, 593, 519, 10335, 540, 8229, 3441, 269, 769, 4686, 2665, 267, 1004, 2760, 4628, 9156, 269, 11910, 513, 4387, 5612, 952, 513, 1268, 2833, 2589, 540, 13852, 781, 25097, 344, 269, 7216, 5868, 543, 2126, 666, 948, 3432, 909, 6051, 563, 289, 749, 781, 25097, 344, 267, 849, 1572, 11132, 25097, 344, 267, 3123, 6727, 610, 10151, 26900, 267, 610, 8467, 267, 540, 11132, 6091, 269, 18641, 267, 519, 2589, 7930, 28201, 609, 942, 267, 609, 610, 1510, 2126, 269, 901, 568, 2356, 513, 10151, 2783, 267, 855, 621, 666, 1869, 2154, 513, 2603, 540, 9639, 607, 835, 1590, 7227, 585, 519, 11132, 13285, 543, 6091, 547, 1376, 2324, 1586, 269, 6423, 513, 3782, 8502, 950, 519, 2589, 1101, 2408, 269, 5709, 725, 543, 2168, 3797, 948, 3432, 909, 519, 6051, 269, 17889, 568, 10355, 606, 4781, 585, 713, 2783, 563, 7197, 540, 519, 942, 267, 13852, 781, 25097, 344, 568, 711, 1634, 547, 581, 8628, 267, 855, 621, 1281, 711, 979, 2476, 538, 1978, 4686, 3871, 269, 4746, 267, 972, 568, 1100, 4362, 10826, 547, 1521, 13852, 781, 25097, 344, 269, 1717, 267, 519, 6051, 1974, 2356, 5956, 676, 1079, 4374, 547 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1413, 693, 713, 835, 6066, 7556, 13037, 547, 1294, 1141, 621, 3357, 689, 543, 1018, 621, 814, 1831, 454, 12552, 15130, 568, 4371, 593, 519, 8772, 13628, 540, 5437, 538, 519, 2136, 2276, 1141, 621, 568, 12926, 4767, 609, 513, 1804, 1920, 7594, 540, 21429, 267, 6653, 12277, 267, 3039, 10365, 543, 22623, 11241, 267, 609, 1082, 4892, 10707, 521, 14184, 3604, 547, 5531, 543, 2285, 7064, 585, 741, 25736, 538, 1018, 814, 1831, 1175, 513, 1360, 22394, 16079, 540, 922, 8129, 269, 1717, 15029, 621, 814, 22872, 543, 4957, 513, 3787, 936, 519, 1296, 519, 9759, 1869, 3788, 3020, 267, 621, 568, 513, 11812, 540, 4797, 6668, 563, 1103, 9759, 2705, 21175, 568, 2484, 811, 606, 2804, 9702, 982, 513, 16712, 610, 3909, 835, 540, 4758, 7064, 538, 519, 2757, 2631, 269, 3509, 1004, 3548, 543, 1287, 14678, 979, 2228, 13989, 4609, 538, 519, 2475, 723, 519, 3501, 13344, 585, 8285, 713, 1032, 269, 13518, 540, 519, 942, 789, 2461, 1318, 267, 855, 519, 5010, 1436, 540, 21175, 3884, 1406, 513, 1025, 697, 2390, 621, 607, 1454, 607, 1373, 519, 1448, 540, 621, 538, 519, 1101, 1747, 538, 513, 2413, 4853, 2486, 899, 519, 2475, 563, 763, 8129, 540, 21175, 616, 10169, 19635, 609, 519, 12119, 15976, 540, 2038, 989, 337, 4115, 7239, 2907, 14120, 519, 1439, 540, 519, 7556, 3274, 676, 546, 842, 540, 18138, 513, 7882, 1054, 543, 782, 1271, 4305, 1471, 8584, 23724, 741, 6668, 607, 513, 14316, 610, 2146, 269, 1452, 16873, 941, 954, 342, 8576, 936, 519, 5553, 609, 519, 10752, 540, 10764, 267, 519, 627, 574, 540, 6608, 543, 519, 26846, 540, 14078, 855, 2429, 621, 814, 17477, 621, 779, 3597, 2495, 563, 14188, 1411, 1280, 21175, 454, 268, 26492, 543, 4123, 2097, 1927, 454, 268, 14856, 543, 10918, 2462, 3334, 454, 268, 8859, 1235, 4585, 13989, 3377, 786, 581, 1434, 454, 763, 1101, 2475, 21175, 568, 1869, 11130, 936, 1813, 6140, 547, 4057, 12319, 543, 513, 7287, 593, 519, 851, 540, 19174, 547, 6133, 11786, 2835, 267, 855, 5103, 602, 1376, 538, 519, 476, 14341, 271, 338, 621, 9327, 1406, 581, 513, 3084, 9702, 538, 519, 2475, 2394, 519, 476, 3707, 271, 338, 950, 17619, 4547, 519, 16559, 21175, 14812, 540, 1082, 2829, 883, 1899, 609, 1142, 824, 543, 2813, 519, 13037, 649, 917, 2221, 269, 1261, 1705, 621, 547, 561, 1263, 6533, 519, 8285, 10918, 1974, 585, 2804, 4128, 269, 898, 5249, 563, 8170, 1576, 4758, 7064, 568, 15991, 2189, 547, 519, 2136, 2276, 630, 24392, 621, 1223, 581, 11130, 789, 723, 3833, 513, 2603, 811, 982, 1034, 547, 581, 9684, 995, 585, 264, 543, 1472, 519, 1158, 6082, 543, 5095, 8661, 741, 1378, 25736, 538, 1585, 535, 1662, 687, 543, 609, 1114, 5389, 519, 1158, 936, 269, 634, 12082, 4296, 609, 2025, 7556, 15976, 568, 3006, 7805, 855, 711, 1169, 2197, 5337, 2803, 519, 2413, 4853, 7556, 267, 609, 3567, 14120, 1312, 4074, 543, 2504, 538, 922, 4528, 563, 28657, 267, 540, 1576, 267, 814, 922, 1378, 21175, 4371, 2484, 4505, 538, 519, 1032, 267, 513, 1267, 540, 13896, 689, 2342, 3366, 676, 17701, 540, 519, 1007, 1158, 945, 1336, 1869, 1373, 9800, 538, 5437, 865, 26648, 789, 1185, 513, 5428, 547, 2161, 9684, 596, 269, 1703, 616, 930, 7440, 1869, 827, 799, 13896, 543, 799, 24413, 267, 855, 538, 519, 1439, 519, 8225, 21175, 22842, 519, 1439, 540, 519, 7556, 538, 7168, 1454, 519, 1482, 1259, 607, 519, 2475, 543, 3864, 8747, 798, 563, 763, 2475, 21175, 11812, 568, 10704, 1472, 519, 7594, 267, 513, 7372, 26035, 540, 7882, 1054, 17114, 609, 2757, 3536, 602, 267, 5310, 5594, 9642, 569, 267, 616, 3592, 7357, 519, 8798, 540, 519, 2278, 540, 6307, 16874, 589, 9741, 30340, 945, 729, 513, 4412, 9426, 540, 21175, 607, 513, 3084, 9702, 585, 5756, 1354, 621, 2965, 1831, 835, 269, 634, 1101, 21175, 729, 7074, 585, 922, 9006, 2581, 543, 3165, 267, 2413, 1554, 1651, 7568, 725, 10355, 1331, 873, 563, 763, 3573, 12119, 6455, 5515, 585, 21175, 7594, 5820, 12034, 5458, 16642, 8852, 2066, 519, 10685, 543, 17783, 1446, 6990, 609, 476, 736, 260, 540, 782, 22623, 11241, 10057, 593, 21175, 267, 799, 3884, 1406, 7357, 9670, 2016, 789, 6492, 9797, 28067, 267, 607, 1281, 21429, 855, 594, 15475, 602, 16919, 513, 2370, 811, 535, 25717, 982, 28067, 269, 9717, 519, 3312, 7594, 1185, 9006, 2581, 621, 4667, 513, 17847, 602, 476, 11011, 260, 540, 4892, 3548, 1945, 607, 1025, 663, 607, 21429, 950, 4758, 7064, 563, 763, 5993, 9194, 540, 4892, 693, 21175, 12651, 519, 1297, 540, 1004, 10707, 676, 476, 7918, 260, 609, 930, 476, 3393, 2929, 4892, 4397, 547, 2951, 593, 513, 1554, 602, 585, 1082, 786, 581, 6825, 676, 519, 4990, 540, 2951, 2833, 602, 1175, 1118, 596, 9684, 995, 547, 581, 856, 540, 519, 1286, 269, 634, 5318, 5354, 540, 21175, 17631, 3442, 519, 1286, 607, 741, 7154, 540, 3560, 267, 5103, 519, 1249, 602, 3328, 3460, 9883, 616, 7444, 2810, 563, 1607, 568, 5310, 1317, 2011, 2951, 568, 1869, 513, 575, 327, 770, 569, 1995, 540, 1273, 1673, 12495, 267, 10918, 32041, 22576, 21514, 978, 525, 543, 16081, 6244, 27939, 267, 519, 570, 6347, 4180, 1100, 835, 814, 1022, 1187, 31049, 15029, 21986, 532, 519, 4182, 779, 22839, 269, 13488, 693, 21175, 568, 9684, 1652, 543, 1360, 10355, 2164, 538, 4376, 811, 982, 1004, 1373, 9684, 995, 789, 1152, 723, 547, 798, 621, 2899, 513, 1032, 2507, 663, 1287, 789, 3314, 8285, 269, 901, 568, 1946, 1004, 4235, 865, 1454, 693, 21175, 267, 789, 2461, 3843, 547, 7340, 519, 2951, 563, 2691, 17619, 13387, 21175, 585, 782, 2829, 540, 519, 9769, 267, 4929, 7147, 547, 723, 547, 2285, 909, 835, 540, 519, 1079, 621, 1185, 6394, 936, 519, 1296, 267, 646, 1705, 865, 585, 17033, 2804, 4128, 269, 634, 20436, 566, 540, 519, 8285, 10918, 1974, 729, 547, 581, 5551, 693, 519, 942, 630, 1492, 2038, 476, 3707, 271, 338, 264, 543, 2094, 1287, 1100, 835, 814, 2938, 3514, 547, 1689, 1018, 814, 1831, 519, 1668, 5006, 10918, 15964, 540, 519, 1032, 267, 609, 1004, 10918, 1312, 538, 544, 8712, 693, 2228, 1210, 741, 5985, 25919, 621, 3580, 581, 4443, 982, 8165, 741, 1259, 998, 519, 24921, 563, 9213, 519, 11016, 1310, 21175, 814, 922, 1378, 2012, 267, 607, 1281, 519, 1739, 11728, 269, 4563, 11016, 543, 15536, 11728, 1631, 13404, 513, 5318, 7274, 540, 7836, 883, 1175, 513, 1360, 1906, 2395, 609, 476, 1001, 274, 7487, 513, 6108, 540, 5176, 5722, 543, 513, 3368, 5479, 9489, 538, 1175, 2947, 2395, 269, 1924, 1454, 865, 602, 20398, 7146, 2173, 677, 541, 21625, 1631, 1930, 741, 9885, 593, 21175, 3294, 3843, 547, 14526, 609, 1346, 945, 1310, 12129, 5734, 519, 4950, 25919, 538, 519, 2475, 972, 616, 930, 20476, 1622, 1869, 547, 581, 1336, 2228, 269, 4024, 713, 1032, 581, 607, 2462, 610, 8273, 982, 2063, 1032, 286, 1284, 3580, 723, 547, 7227, 513, 1906, 2395, 547, 1294, 269, 0, 1103, 3168, 693, 875, 519, 1158, 568, 4742, 811, 20651, 543, 811, 2919, 538, 2489, 267, 713, 849, 6770, 547, 1769, 2042, 269, 1306, 519, 2551, 5170, 547, 1332, 267, 1004, 786, 581, 11423, 811, 543, 811, 2127, 540, 519, 1158, 269, 901, 568, 3056, 547, 811, 2951, 543, 811, 3486, 1870, 543, 1894, 10838, 1114, 2477, 269, 1306, 1004, 543, 1870, 4483, 547, 1007, 2127, 267, 865, 798, 2093, 827, 2418, 267, 4978, 543, 519, 1259, 540, 1272, 269, 901, 1184, 568, 5219, 547, 607, 14051, 269, 2755, 972, 616, 2640, 547, 14051, 267, 972, 616, 849, 2721, 19758, 267, 1519, 519, 1114, 1379, 6384, 602, 666, 2049, 1063, 2516, 269, 1703, 568, 711, 7862, 782, 936, 519, 1158, 267, 543, 607, 14051, 19082, 267, 930, 4250, 602, 8635, 786, 1932, 563, 763, 4670, 17157, 2630, 5654, 693, 519, 3395, 2551, 593, 519, 4541, 543, 1018, 713, 786, 1611, 585, 1114, 2200, 543, 1894, 538, 938, 1158, 269, 630, 10059, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 2675, 275, 295, 343, 303, 343, 301, 337, 313, 271, 261, 10623, 1155, 284, 344, 719, 340, 269, 2041, 994, 5475, 8384, 519, 17157, 2992, 593, 875, 519, 2551, 2208, 568, 2469, 547, 1860, 519, 1985, 1906, 5481, 269, 3503, 513, 476, 274, 268, 275, 5037, 3210, 799, 3877, 2104, 2042, 267, 6941, 875, 3160, 610, 21376, 519, 1158, 786, 581, 267, 543, 11828, 875, 519, 1184, 540, 14051, 786, 581, 513, 1434, 610, 513, 3983, 3364, 269, 25737, 3872, 1570, 547, 1489, 1022, 2990, 563, 303, 2529, 269, 5900, 3737, 568, 513, 3381, 1257, 269, 0, 763, 674, 289, 308, 779, 1867, 2048, 14737, 574, 2358, 23001, 16146, 685, 4598, 547, 6757, 2498, 1663, 757, 685, 2829, 602, 1082, 540, 519, 6878, 23001, 16146, 616, 6534, 547, 616, 9286, 607, 1480, 15910, 11077, 269, 769, 1840, 267, 519, 12136, 540, 2068, 543, 2860, 616, 2362, 982, 4397, 10838, 23001, 16146, 3379, 547, 519, 2489, 2551, 269, 1215, 666, 596, 15260, 675, 23001, 16146, 602, 741, 1072, 543, 3106, 616, 1373, 3922, 2213, 543, 741, 8171, 6927, 888, 763, 1072, 267, 3106, 543, 8171, 540, 5234, 568, 513, 10862, 585, 5507, 9605, 23394, 1228, 630, 299, 293, 289, 1040, 700, 293, 289, 12079, 619, 723, 1044, 2324, 609, 9164, 538, 24243, 543, 824, 3595, 543, 15063, 2533, 18368, 547, 1732, 1174, 519, 4220, 547, 5234, 689, 9036, 4598, 547, 15910, 11077, 269, 700, 293, 289, 814, 1044, 5665, 513, 2039, 540, 4052, 1852, 3800, 547, 6922, 1047, 519, 4220, 547, 23001, 16146, 689, 9036, 15910, 11077, 585, 1082, 1296, 269, 901, 2882, 281, 10512, 3609, 609, 2543, 547, 519, 946, 540, 7929, 8825, 3937, 543, 23001, 7660, 632, 4186, 8727, 282, 5009, 2834, 4657, 540, 7293, 23001, 18017, 7802, 282, 519, 11865, 540, 5234, 10304, 6703, 1519, 29636, 282, 543, 8362, 5464, 1634, 15910, 11077, 538, 23394, 1228, 28737, 267, 585, 1383, 9036, 12220, 540, 17088, 9688, 5434, 269, 0, 10403, 3732, 1557, 593, 519, 13667, 540, 4065, 630, 10403, 547, 1224, 1040, 634, 1292, 2832, 540, 2069, 568, 519, 782, 15778, 1646, 540, 513, 2875, 269, 4706, 3483, 568, 547, 1020, 513, 2875, 883, 513, 2407, 267, 2898, 543, 7471, 1268, 269, 634, 1292, 2832, 540, 2069, 568, 519, 782, 15778, 1646, 540, 513, 2875, 269, 4706, 3483, 568, 547, 1020, 513, 2875, 883, 513, 2407, 267, 2898, 543, 7471, 1268, 563, 288, 2875, 4116, 6935, 568, 606, 7533, 851, 540, 513, 1732, 2069, 267, 952, 5941, 827, 2486, 607, 513, 2898, 269, 4065, 568, 2808, 547, 581, 513, 6174, 602, 6770, 827, 1689, 538, 519, 2486, 547, 971, 606, 6708, 602, 621, 666, 1118, 606, 3768, 324, 975, 539, 2197, 513, 2919, 835, 269, 634, 1699, 2832, 540, 2069, 568, 9141, 676, 519, 6437, 610, 519, 21038, 563, 763, 2832, 540, 2069, 1058, 581, 4543, 519, 2486, 581, 14628, 543, 1863, 689, 519, 9409, 7060, 269, 1323, 13473, 2247, 3085, 1406, 2097, 896, 1022, 3310, 865, 3728, 269, 901, 568, 1946, 267, 594, 3494, 519, 1483, 2832, 540, 2069, 1058, 581, 1818, 1004, 4830, 17024, 543, 5140, 3375, 15670, 563, 3080, 540, 519, 2081, 547, 1683, 971, 2069, 568, 547, 968, 1326, 9205, 6100, 634, 1983, 543, 5759, 1020, 538, 1483, 1158, 543, 711, 538, 5841, 3871, 538, 1362, 269, 769, 713, 2543, 267, 649, 949, 3277, 547, 519, 18573, 779, 968, 2704, 5586, 800, 540, 519, 29190, 6100, 2290, 1058, 968, 339, 13224, 892, 519, 1483, 1158, 2042, 543, 1205, 2123, 1995, 689, 621, 563, 307, 2532, 476, 272, 630, 26183, 272, 264, 13760, 519, 3483, 543, 946, 540, 2200, 538, 1378, 11285, 1858, 269, 476, 272, 269, 272, 11512, 519, 3483, 540, 2200, 538, 1565, 543, 3450, 8249, 616, 1031, 547, 2327, 6267, 616, 1373, 7722, 543, 585, 6267, 547, 2743, 741, 1565, 2115, 267, 741, 9053, 1565, 6163, 543, 585, 873, 547, 3035, 741, 1565, 4093, 563, 303, 17123, 540, 4065, 630, 13625, 264, 4065, 568, 513, 5318, 11782, 269, 769, 19220, 540, 922, 6988, 900, 5799, 2367, 723, 6836, 547, 5581, 621, 538, 741, 1378, 1259, 907, 769, 513, 1259, 267, 519, 14713, 540, 13919, 267, 610, 1318, 540, 2932, 610, 1434, 2623, 538, 922, 11097, 652, 2631, 267, 568, 519, 18678, 2832, 540, 2069, 269, 589, 6437, 666, 2192, 6488, 547, 581, 9420, 547, 713, 1843, 267, 585, 922, 563, 19669, 3650, 267, 589, 269, 715, 269, 630, 3422, 278 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 769, 2221, 781, 2168, 2069, 6437, 267, 8516, 2069, 4249, 513, 2629, 1909, 538, 5009, 2635, 6197, 5079, 1851, 1053, 269, 1717, 267, 8806, 3450, 1053, 827, 519, 2640, 540, 3635, 543, 1697, 6484, 568, 1419, 711, 2614, 547, 6536, 1279, 3856, 2623, 1689, 269, 5502, 267, 6220, 3741, 540, 5042, 6530, 543, 6791, 1646, 666, 948, 7855, 1711, 811, 2500, 8516, 2069, 3292, 269, 901, 3184, 786, 2263, 875, 3381, 268, 665, 2424, 2409, 1031, 538, 5026, 6791, 1382, 666, 1217, 519, 1374, 540, 14292, 2326, 6322, 693, 23960, 519, 1646, 540, 5672, 10635, 4321, 1983, 538, 8516, 2069, 780, 5575, 267, 1577, 721, 5581, 1018, 649, 1611, 676, 5672, 10635, 10744, 269, 4340, 547, 21890, 514, 630, 1001, 276, 1070, 5672, 10635, 10744, 4016, 547, 834, 1492, 2790, 3157, 3238, 538, 1950, 3871, 1141, 972, 616, 2192, 20452, 3853, 267, 15458, 6384, 267, 13346, 14422, 267, 942, 2604, 267, 1164, 30367, 267, 2789, 5716, 267, 543, 10721, 3853, 257, 630, 335, 269, 476, 275, 1040, 1452, 5042, 3157, 1331, 3510, 4656, 267, 3375, 6194, 267, 4058, 267, 4199, 2359, 267, 543, 1558, 659, 10744, 269, 15043, 891, 1983, 568, 1898, 585, 6267, 547, 1831, 4966, 538, 1022, 6389, 267, 1519, 8516, 2069, 780, 1103, 519, 2796, 540, 8516, 2069, 267, 3384, 5672, 10635, 4321, 1983, 1522, 4125, 1565, 875, 547, 2708, 513, 7817, 781, 2115, 543, 3853, 267, 1374, 606, 25191, 15904, 1982, 267, 6895, 3356, 267, 543, 4188, 2994, 9935, 269, 27603, 267, 971, 1983, 723, 1044, 6026, 998, 29095, 1222, 3631, 267, 609, 30497, 30157, 11287, 4810, 4648, 543, 7930, 2921, 593, 811, 5539, 896, 15569, 269, 2755, 713, 1935, 814, 922, 26350, 267, 621, 666, 849, 581, 942, 21791, 543, 7199, 269, 5047, 267, 621, 949, 711, 1683, 8763, 5955, 593, 1808, 3334, 540, 5672, 10635, 4321, 5578, 1646, 780, 21581, 268, 665, 2424, 2409, 2709, 606, 4244, 1935, 547, 2757, 29095, 1222, 3631, 676, 3850, 16929, 547, 13861, 3308, 1344, 1282, 23405, 540, 1950, 4247, 269, 1635, 28729, 25848, 1005, 13980, 540, 513, 3381, 4159, 267, 3173, 666, 8495, 875, 2043, 1184, 1114, 2010, 540, 1344, 950, 7900, 1585, 2238, 269, 1280, 1383, 267, 513, 1353, 6313, 13836, 18644, 9916, 7044, 538, 799, 2901, 519, 8486, 7815, 781, 5305, 1448, 610, 519, 3440, 729, 29473, 7672, 693, 1114, 2053, 1282, 519, 18711, 630, 27455, 1299, 5062, 8867, 617, 267, 476, 1220, 271, 1040, 11778, 4951, 602, 9952, 5734, 1562, 941, 2111, 547, 946, 4434, 10291, 3177, 676, 519, 8486, 7815, 781, 5163, 547, 18783, 519, 12557, 543, 4087, 540, 519, 12334, 267, 1256, 950, 789, 1223, 711, 1294, 519, 3440, 3294, 780, 4322, 4681, 5031, 519, 2956, 540, 829, 24632, 2275, 4321, 1983, 538, 4274, 2773, 543, 2303, 602, 2147, 2553, 1223, 581, 4294, 547, 8516, 2069, 269, 1280, 3236, 267, 606, 14357, 1522, 946, 3381, 268, 665, 2424, 3301, 547, 1459, 7218, 609, 24056, 540, 5751, 5340, 27235, 267, 4101, 873, 547, 2697, 6959, 543, 15974, 28303, 1759, 593, 741, 1702, 540, 1106, 543, 4480, 269, 17968, 267, 6267, 1223, 7747, 7044, 540, 2123, 2866, 7886, 543, 5659, 519, 26519, 781, 3375, 6194, 3157, 267, 7114, 9342, 543, 2127, 585, 6454, 780, 2414, 2936, 3381, 268, 665, 2424, 2409, 3927, 538, 8516, 2069, 267, 1896, 9270, 1590, 581, 3144, 883, 2272, 269, 3689, 267, 16929, 1058, 5402, 2824, 3381, 24056, 602, 11168, 4143, 5672, 10635, 4321, 1983, 269, 1280, 1383, 267, 952, 519, 3804, 568, 547, 2087, 7218, 262, 2702, 547, 1374, 25191, 15904, 4566, 267, 1287, 7044, 6029, 30157, 2502, 538, 713, 1184, 1131, 581, 1034, 3617, 269, 5822, 267, 16929, 1058, 1683, 2312, 5528, 543, 11461, 2259, 3255, 547, 2327, 602, 6267, 1174, 875, 547, 4612, 519, 29473, 7672, 22089, 543, 4019, 741, 4030, 547, 1483, 8996, 7653, 269, 7053, 267, 5571, 4879, 543, 5955, 616, 2565, 547, 1489, 4797, 2208, 543, 27715, 540, 5672, 10635, 4321, 1983, 780, 3080, 1761, 4161, 538, 7598, 3381, 268, 665, 2424, 2409, 538, 8516, 2069, 568, 1569, 547, 5078, 3937, 543, 2200, 269, 4400, 7779, 3381, 12514, 543, 11049, 3301, 666, 581, 1942, 3491, 3031, 1438, 585, 1082, 5238, 282, 2705, 267, 8441, 538, 2029, 723, 1500, 621, 5051, 15164, 547, 1711, 6198, 29473, 2424, 13502, 1210, 16389, 610, 14342, 269, 3958, 267, 1930, 21299, 3301, 3681, 616, 2139, 585, 1346, 945, 6999, 547, 4603, 609, 3381, 268, 665, 2424, 2553, 1510, 10115, 538, 5010, 2472, 780, 5194, 7156, 568, 26936, 3381, 268, 665, 2424, 2238, 609, 6626, 1225, 14152, 6859, 269, 24524, 2069, 3292, 3335, 11168, 1312, 2930, 16169, 630, 324, 3052, 1421, 17117, 540, 3635, 3029, 264, 543, 14375, 1983, 630, 324, 3052, 1421, 2792, 267, 6568, 1040, 23889, 3381, 268, 665, 2424, 2409, 883, 4540, 6030, 3340, 6297, 3007, 547, 4180, 602, 782, 5551, 1565, 4093, 616, 9619, 269, 2290, 2009, 4640, 568, 547, 21934, 1245, 3381, 2861, 2238, 1369, 513, 3677, 5311, 540, 4245, 267, 4098, 609, 13654, 2035, 543, 2679, 2509, 811, 1950, 3156, 540, 5672, 10635, 4321, 1983, 780, 1103, 3932, 267, 6220, 3381, 268, 665, 2424, 2409, 883, 8516, 2069, 3091, 9621, 18817, 585, 7393, 6267, 262, 5672, 10635, 4321, 5759, 269, 14301, 2390, 1382, 5342, 538, 4610, 971, 607, 5026, 6791, 543, 2067, 2065, 3375, 6194, 267, 7855, 666, 1374, 5499, 14292, 2326, 602, 4497, 1053, 538, 8076, 4305, 2079, 543, 3895, 4514, 1620, 540, 1883, 2035, 269, 1306, 938, 2486, 5170, 547, 20920, 609, 10296, 1072, 2152, 1644, 547, 25161, 19824, 543, 8377, 267, 30015, 2104, 8516, 4648, 609, 7347, 3375, 6194, 7207, 3587, 2479, 811, 4105, 269, 4498, 1145, 532, 519, 1379, 540, 3381, 268, 665, 2424, 2553, 4564, 835, 1900, 2509, 8236, 713, 3804, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3036, 5456, 2562, 3201, 19419, 292, 24086, 2376, 454, 20376, 269, 15465, 3163, 454, 24127, 476, 278, 910, 476, 1001, 277, 1923, 4179, 2517, 8742, 3820, 270, 1015, 269, 24783, 280, 11721, 10043, 326, 269, 1001, 277, 269, 16573, 10844, 454, 9743, 2315, 531, 5071, 585, 24665, 730, 5839, 10635, 4321, 16869, 1047, 538, 519, 28473, 31071, 454, 268, 4972, 540, 15099, 543, 19019, 267, 8828, 13325, 2160, 267, 2961, 321, 1180, 1446, 267, 14889, 267, 7330, 454, 763, 3804, 540, 23960, 6791, 666, 4734, 3173, 543, 30157, 538, 1480, 2188, 267, 2067, 2065, 3375, 1818, 267, 7328, 2257, 267, 543, 6791, 2090, 7255, 827, 9583, 13385, 3498, 540, 4274, 2773, 6436, 267, 4681, 543, 2409, 585, 2866, 5672, 10635, 4321, 3344, 540, 1480, 2773, 269, 11473, 268, 665, 2424, 2409, 3501, 539, 676, 5026, 6791, 3173, 723, 1390, 14292, 10626, 267, 538, 930, 2665, 5356, 606, 2500, 543, 20522, 4244, 547, 1164, 1922, 23474, 11191, 269, 589, 1883, 1966, 585, 14292, 9858, 4667, 547, 581, 602, 6791, 1382, 2944, 538, 8047, 543, 2361, 5468, 3085, 1405, 1205, 18113, 12261, 883, 9036, 2866, 269, 4475, 267, 713, 2376, 533, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 5893, 4065, 257, 607, 851, 540, 834, 3633, 24102, 1315, 9752, 1315, 23527, 1315, 8447, 4065, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 634, 19196, 1746, 2622, 540, 25080, 10049, 543, 1215, 12207, 5530, 23067, 692, 5970, 596, 2479, 5129, 609, 22197, 286, 9320, 596, 723, 513, 6419, 4604, 1141, 596, 666, 6529, 4967, 610, 5961, 269, 2107, 5310, 596, 4312, 1031, 513, 11275, 547, 4584, 909, 4496, 3615, 899, 1957, 24056, 269, 1809, 1705, 596, 917, 972, 616, 1082, 1114, 2010, 540, 22197, 856, 972, 267, 1142, 609, 922, 1378, 2189, 3601, 286, 2290, 1895, 540, 891, 2027, 22197, 568, 1572, 834, 332, 12817, 22197, 2437, 799, 3744, 1353, 1210, 930, 7168, 3579, 2553, 256, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 780, 5331, 2348, 513, 6263, 22342, 8254, 602, 13071, 721, 1294, 1919, 602, 616, 1932, 1507, 585, 938, 4064, 547, 5469, 269, 2334, 781, 1018, 3744, 946, 950, 789, 1353, 7636, 22197, 1107, 2645, 1572, 9145, 8554, 267, 855, 3079, 540, 7487, 2592, 267, 789, 3713, 6786, 2016, 1055, 676, 8444, 269, 1703, 616, 1614, 1292, 2409, 789, 946, 281, 17437, 25080, 1763, 28585, 630, 301, 17307, 1070, 25080, 1763, 28585, 24919, 630, 28122, 1070, 543, 631, 7238, 1087, 321, 21516, 15190, 18122, 269, 1452, 2553, 1522, 3280, 7294, 267, 855, 789, 2811, 2965, 3833, 2241, 2899, 649, 2736, 873, 1524, 2439, 4131, 781, 1376, 609, 17437, 25080, 1763, 28585, 630, 301, 17307, 1040, 1411, 917, 875, 707, 22315, 2141, 2798, 5087, 1317, 3047, 6411, 607, 513, 9649, 11275, 286, 4270, 267, 1978, 10570, 22140, 849, 13789, 899, 2370, 22197, 256, 1879, 649, 2322, 891, 11046, 2173, 1725, 1115, 3330, 513, 2178, 5007, 6419, 2361, 630, 3697, 8380, 707, 22315, 2282, 1776, 2462, 11275, 1070, 789, 5447, 2933, 2059, 519, 3515, 540, 3196, 1175, 899, 707, 22315, 13549, 1281, 269, 1635, 11488, 5925, 6329, 998, 713, 1062, 267, 649, 666, 1118, 1346, 13988, 11046, 2173, 1725, 1115, 834, 4148, 760, 257, 610, 1689, 741, 10066, 269, 1306, 789, 2132, 547, 741, 3312, 1533, 267, 789, 5305, 1648, 602, 649, 666, 2268, 543, 5659, 269, 901, 1344, 2337, 721, 1451, 827, 519, 2497, 543, 2623, 540, 6675, 1369, 2326, 899, 7636, 22197, 780, 9202, 909, 568, 25080, 1763, 28585, 24919, 630, 28122, 1070, 799, 568, 5702, 1644, 547, 715, 17307, 269, 2755, 1312, 2553, 4125, 11093, 5439, 538, 513, 6419, 2361, 543, 3168, 693, 519, 3210, 540, 10570, 22140, 267, 18909, 5932, 3308, 2592, 540, 519, 3732, 1373, 6594, 269, 6056, 540, 621, 607, 2921, 513, 8523, 1210, 11046, 2173, 1725, 1115, 3079, 540, 1769, 256, 1677, 798, 713, 267, 18909, 3096, 6793, 6419, 4610, 982, 715, 17307, 543, 8591, 13506, 27810, 547, 1711, 7648, 538, 519, 6419, 2361, 2066, 519, 3732, 269, 901, 2636, 3173, 547, 22942, 4010, 1141, 1142, 5365, 2501, 689, 267, 2679, 513, 2143, 3239, 540, 519, 1202, 1938, 540, 606, 1843, 269, 898, 781, 2523, 3730, 585, 2564, 9196, 2094, 621, 666, 9108, 7001, 2143, 5961, 540, 2571, 8031, 971, 607, 8219, 267, 6091, 267, 543, 28587, 3330, 938, 4703, 780, 7661, 267, 1577, 781, 2263, 631, 7238, 1087, 321, 21516, 15190, 18122, 269, 9521, 715, 17307, 543, 18909, 267, 799, 1445, 593, 519, 2623, 540, 10570, 22140, 267, 631, 7238, 1087, 321, 21516, 2090, 519, 9211, 4478, 519, 13540, 269, 1879, 9599, 9211, 7914, 1063, 1648, 2157, 267, 789, 12520, 18325, 12345, 910, 1360, 1164, 20589, 1769, 269, 6884, 267, 891, 18325, 12345, 2170, 609, 824, 9211, 1472, 519, 13540, 267, 4657, 741, 19367, 5594, 1354, 11173, 593, 741, 1259, 269, 1635, 7893, 891, 10593, 267, 3744, 666, 5531, 3407, 4030, 827, 519, 3114, 1604, 1369, 7636, 22197, 780, 3086, 596, 1522, 4898, 1946, 4974, 7636, 22197, 6927, 865, 1454, 269, 4197, 741, 3601, 1223, 1291, 547, 7760, 538, 1585, 2127, 267, 971, 607, 1239, 4859, 267, 7061, 7384, 267, 543, 1256, 1007, 2081, 547, 5352, 5201, 811, 7561, 256, 1924, 1985, 942, 596, 1404, 609, 22197, 610, 1205, 606, 18909, 11571, 693, 519, 4387, 781, 5604, 267, 3314, 782, 519, 5863, 2257, 3297, 873, 7996, 547, 581, 4362, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10403, 715, 332, 337, 631, 686, 29447, 1656, 631, 7238, 1087, 321, 21516, 15190, 14029, 641, 625, 769, 17449, 13804, 1115, 476, 1220, 278, 454, 27645, 263, 15937, 7797, 5292, 269, 594, 543, 476, 1556, 1070, 14642, 933, 2998, 267, 1715, 3840, 3557, 2160, 267, 476, 3422, 278, 269, 10572, 11242, 476, 3422, 278, 268, 6924, 268, 7597, 267, 5292, 269, 2473, 23997, 331, 267, 2475, 6554, 24614, 8433, 269, 4750, 540, 11633, 11819, 4065, 269, 476, 1691, 264, 1863, 16354, 337, 544, 686, 8945, 1512, 267, 32515, 267, 31349, 543, 27118, 1158, 540, 11633, 8551, 3194, 269, 4741, 585, 15642, 1049, 543, 14502, 4065, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1797, 4568, 6455, 616, 17049, 18487, 282, 2705, 267, 1004, 1869, 1265, 2081, 547, 5428, 256, 901, 5736, 4718, 519, 4332, 540, 884, 820, 553, 625, 267, 5728, 633, 13063, 6456, 3297, 796, 817, 11167, 4558, 325, 1258, 1206, 610, 11895, 3490, 906, 1141, 11570, 1131, 5531, 585, 28302, 15483, 339, 5661, 543, 2661, 9913, 269, 8535, 2968, 606, 1898, 12146, 538, 891, 24284, 267, 4259, 519, 3942, 585, 15690, 547, 21707, 780, 3086, 267, 1018, 1500, 17857, 4975, 15690, 865, 2027, 286, 9521, 824, 4872, 899, 1715, 20252, 610, 9628, 267, 17857, 4975, 1185, 811, 17159, 11268, 540, 29611, 4031, 269, 1306, 513, 1267, 267, 12372, 1223, 4603, 11884, 267, 16471, 1114, 6163, 883, 835, 17615, 3280, 269, 8262, 13164, 4904, 7544, 19683, 609, 741, 11763, 18819, 267, 1247, 21088, 1235, 1561, 14876, 9159, 23964, 29691, 873, 269, 898, 729, 606, 17938, 1791, 908, 12760, 540, 3979, 1977, 5289, 338, 267, 21462, 267, 986, 326, 5503, 267, 21567, 6512, 22415, 1127, 267, 543, 3864, 8106, 2575, 780, 3080, 1268, 15747, 538, 5935, 519, 17857, 4975, 15690, 6429, 729, 4032, 5178, 773, 269, 18004, 538, 4414, 7813, 267, 1715, 14948, 267, 646, 6410, 547, 17857, 4975, 538, 1010, 1000, 550, 625, 543, 3533, 8593, 538, 2648, 609, 922, 7524, 3781, 5158, 269, 1261, 4646, 1010, 1378, 2462, 6512, 267, 6220, 2609, 540, 18711, 543, 7914, 21462, 269, 4256, 18512, 12644, 13631, 25981, 9458, 543, 4396, 1881, 17857, 4975, 781, 10639, 607, 513, 3905, 5523, 540, 15690, 5647, 780, 5194, 2629, 4137, 729, 24898, 26436, 267, 1419, 688, 6150, 607, 835, 540, 519, 6574, 620, 1729, 1094, 343, 2684, 517, 1235, 2479, 269, 19663, 909, 538, 17857, 4975, 267, 16713, 267, 646, 3459, 4730, 24015, 538, 2199, 15731, 1354, 11836, 20289, 5062, 4537, 2335, 781, 8513, 6512, 269, 16828, 3001, 547, 1715, 3840, 4975, 267, 26436, 5280, 28196, 710, 581, 321, 641, 267, 1776, 24848, 516, 540, 15690, 6353, 676, 3728, 1661, 1842, 267, 1950, 11745, 625, 267, 543, 6946, 1151, 657, 269, 6736, 6028, 17857, 4975, 9308, 267, 1010, 5072, 7283, 7184, 23091, 609, 922, 10058, 15690, 9371, 780, 24137, 4464, 547, 2221, 267, 543, 596, 1522, 4898, 952, 972, 781, 1022, 4276, 1063, 1346, 2038, 2395, 540, 17857, 4975, 15690, 543, 938, 2413, 1158, 269, 2334, 2626, 6013, 1369, 1585, 2686, 5238, 6131, 547, 8497, 543, 5009, 713, 4105, 4062, 540, 1977, 7574, 6561, 269, 1280, 3236, 267, 519, 1977, 27227, 7467, 538, 17857, 4975, 26549, 19416, 5159, 899, 11875, 320, 32684, 267, 8402, 28226, 267, 543, 9811, 267, 1256, 4032, 5178, 773, 543, 24898, 26436, 269, 3414, 7317, 15225, 267, 3872, 3292, 267, 543, 2661, 12644, 267, 789, 2327, 602, 7820, 5481, 1174, 519, 4644, 540, 713, 1148, 1106, 780, 11101, 267, 15690, 15976, 3136, 547, 8853, 1312, 3148, 958, 543, 18368, 267, 14120, 519, 6891, 540, 5698, 543, 5876, 7915, 538, 27906, 5314, 269, 1452, 2621, 1683, 3255, 585, 14971, 12372, 547, 1685, 7258, 19023, 18884, 267, 5807, 30023, 3347, 2147, 547, 1346, 3964, 538, 17857, 4975, 781, 11344, 2085, 780, 3383, 1946, 1281, 1620, 519, 1686, 540, 17857, 4975, 15690, 2339, 286, 3807, 607, 1142, 4063, 5129, 676, 513, 22459, 8309, 547, 519, 2949, 10103, 540, 513, 5152, 267, 1169, 3140, 2680, 5546, 938, 7104, 1995, 269, 1635, 6313, 519, 2250, 267, 649, 2744, 4030, 883, 519, 4229, 6117, 1514, 1689, 267, 7499, 4082, 267, 543, 2146, 1646, 269, 1656, 3884, 1405, 602, 1018, 1373, 513, 14787, 568, 782, 827, 286, 24531, 4296, 267, 3695, 2984, 267, 543, 19825, 23543, 2451, 3297, 676, 7415, 2043, 780, 1103, 3932, 267, 17857, 4975, 15690, 4564, 1454, 811, 982, 6071, 2575, 269, 4706, 4720, 19141, 11358, 8090, 538, 1977, 1686, 267, 10452, 6848, 10593, 543, 6639, 7760, 269, 3245, 884, 820, 553, 625, 547, 18297, 5867, 267, 713, 6422, 9135, 679, 706, 637, 1317, 540, 13730, 5159, 8149, 547, 11319, 6302, 543, 3048, 908, 1007, 4992, 269, 8921, 942, 596, 6432, 547, 513, 5347, 23260, 610, 6952, 344, 11733, 267, 3314, 519, 1650, 540, 17857, 4975, 15690, 1107, 513, 15266, 547, 30840, 267, 13916, 267, 543, 22406, 27265, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8489, 1772, 6970, 525, 1513, 13751, 286, 2353, 12232, 772, 2529, 269, 2276, 585, 6970, 525, 1513, 11846, 1504, 454, 19688, 476, 2767, 267, 476, 1708, 274, 454, 2026, 6970, 525, 1513, 11846, 1504, 5170, 922, 4028, 7269, 2066, 519, 2136, 2276, 543, 3564, 267, 621, 666, 581, 2182, 547, 1832, 909, 609, 1141, 519, 5026, 25919, 3760, 568, 4867, 3656, 269, 769, 713, 2376, 267, 649, 786, 1577, 596, 917, 1141, 6970, 525, 1513, 11846, 1504, 568, 5665, 2221, 543, 1141, 621, 949, 1413, 547, 10131, 1985, 563, 2171, 786, 849, 1865, 519, 3268, 596, 666, 1491, 547, 1129, 909, 609, 6970, 525, 1513, 2221, 543, 1018, 519, 2228, 5026, 1504, 814, 547, 2709, 547, 5561, 782, 936, 519, 2197, 563, 268, 4270, 1634, 6216, 454, 268, 4279, 8007, 1982, 454, 268, 22453, 2039, 540, 12948, 3681, 454, 259, 272, 267, 1822, 3689, 5975, 593, 6970, 525, 1513, 454, 25519, 525, 1513, 11846, 1504, 1299, 16629, 3626, 281, 2353, 13751, 772, 2529, 269, 2276, 454, 25519, 525, 1513, 11846, 1504, 1299, 16629, 3626, 568, 4867, 3656, 538, 519, 2829, 3769, 538, 519, 3349, 2630, 563, 347, 13750, 1475, 25519, 525, 1513, 11846, 1504, 630, 15697, 19072, 9394, 2561, 10534, 25519, 525, 1513, 11846, 1504, 630, 14303, 841, 10534, 14303, 841, 31313, 1475, 25519, 525, 1513, 6732, 16629, 3626, 2008, 24820, 13252, 1475, 27077, 483, 1475, 27077, 483, 1475, 288, 13252, 27339, 10587, 630, 2419, 848, 12197, 10534, 414, 507, 490, 2008, 347, 21760, 5964, 1475, 27077, 483, 1475, 27077, 483, 1475, 295, 8503, 21539, 4563, 8316, 330, 16629, 3626, 23392, 347, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 298, 12436, 4975, 27227, 11595, 257, 607, 851, 540, 834, 19615, 1315, 2136, 2276, 1315, 3557, 1299, 10871, 1315, 29268, 630, 8656, 267, 14889, 267, 5442, 267, 23794, 267, 24696, 267, 30400, 267, 17834, 267, 27020, 267, 17252, 267, 27846, 267, 12676, 267, 654, 296, 29215, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 9891, 2107, 321, 3438, 17030, 543, 24658, 10466, 692, 1103, 2487, 1296, 267, 972, 814, 1044, 2810, 1719, 538, 3695, 938, 1753, 5182, 267, 519, 6129, 269, 634, 6129, 568, 513, 4241, 18477, 1843, 602, 814, 513, 7096, 1764, 593, 519, 3859, 1062, 267, 1519, 3047, 779, 2916, 543, 6419, 2361, 269, 1677, 1732, 1174, 519, 6129, 543, 922, 3310, 593, 519, 927, 328, 14459, 630, 1492, 3148, 540, 2230, 13856, 676, 519, 3141, 1070, 519, 3864, 6611, 10837, 630, 2464, 288, 264, 9250, 519, 9891, 2107, 321, 3438, 5692, 269, 901, 1576, 1770, 2488, 606, 538, 3829, 6514, 540, 519, 2257, 3297, 519, 9891, 2107, 321, 3438, 5692, 267, 2519, 593, 2230, 2257, 267, 2230, 3408, 267, 543, 5982, 4027, 543, 31364, 780, 763, 3119, 6662, 540, 519, 9891, 2107, 321, 3438, 5692, 568, 547, 1353, 519, 6129, 689, 6251, 16133, 982, 1022, 3105, 5692, 269, 1635, 3257, 865, 267, 3744, 4126, 547, 2744, 4030, 883, 519, 6129, 779, 8701, 4525, 267, 799, 2611, 7361, 23257, 1819, 1813, 547, 741, 6552, 4087, 269, 1452, 4525, 1404, 513, 2629, 1909, 538, 5935, 519, 954, 17839, 8767, 5420, 543, 6117, 3859, 2842, 3270, 269, 4197, 873, 1223, 1291, 547, 1713, 23484, 538, 17782, 3859, 2534, 543, 19086, 922, 2360, 593, 3047, 780, 2414, 3035, 713, 3804, 267, 519, 9891, 2107, 321, 3438, 5205, 513, 1950, 18330, 1634, 607, 513, 968, 5979, 4878, 2619, 892, 998, 519, 6418, 3859, 1062, 269, 898, 3096, 8904, 4217, 18902, 951, 547, 18711, 2250, 3047, 543, 19026, 14578, 267, 11543, 11610, 1247, 849, 14577, 922, 20771, 31007, 269, 3683, 942, 267, 891, 13341, 5512, 519, 14361, 547, 3914, 513, 3810, 20916, 10739, 267, 3850, 621, 547, 7747, 519, 6129, 779, 18635, 2047, 780, 6524, 25054, 593, 971, 513, 4101, 5692, 267, 1585, 6887, 3743, 585, 1114, 3344, 540, 519, 14361, 10929, 11826, 7041, 269, 15051, 8030, 267, 8184, 6384, 12665, 267, 3301, 9367, 267, 543, 2666, 6728, 10986, 6108, 9118, 3108, 1138, 6819, 1761, 7653, 543, 3384, 20314, 1890, 4566, 269, 4256, 7104, 3646, 2327, 602, 950, 519, 4090, 21128, 267, 782, 1949, 616, 968, 13582, 585, 10131, 2223, 10834, 22026, 780, 4913, 267, 1256, 1310, 3275, 540, 22111, 4058, 267, 6397, 2152, 949, 8451, 267, 3056, 547, 17799, 269, 1280, 3236, 267, 1282, 519, 9709, 6632, 10571, 31667, 531, 12544, 2407, 2196, 28443, 540, 840, 5055, 4875, 5773, 5473, 30740, 519, 15177, 30867, 5667, 29347, 1881, 1966, 7142, 519, 27185, 821, 618, 540, 519, 9891, 2107, 321, 3438, 781, 3355, 10131, 4266, 269, 5548, 26359, 31782, 616, 1455, 20825, 538, 2230, 13485, 282, 4061, 267, 8112, 543, 13916, 616, 1898, 1983, 2838, 585, 3811, 12032, 780, 5629, 519, 9891, 2107, 321, 3438, 10301, 922, 10278, 267, 3173, 18783, 11018, 3407, 1239, 827, 519, 6129, 779, 9018, 5790, 267, 610, 1351, 7431, 267, 2059, 609, 1344, 827, 9901, 5536, 16290, 1369, 519, 3859, 2842, 269, 3958, 267, 1164, 22822, 11052, 9676, 676, 519, 9891, 2107, 321, 3438, 779, 24194, 540, 7405, 1058, 1683, 13778, 5813, 883, 3859, 9259, 899, 1166, 4100, 543, 1351, 4689, 2527, 30275, 687, 630, 290, 10933, 338, 1040, 24356, 891, 2621, 2636, 721, 547, 1451, 811, 827, 875, 1648, 568, 11843, 2429, 519, 3859, 1062, 543, 2087, 11236, 3823, 5732, 5739, 2230, 4365, 780, 3080, 2565, 2460, 540, 8888, 513, 5692, 3808, 585, 2673, 16133, 547, 519, 6129, 3322, 5466, 5982, 4598, 4220, 5185, 676, 1312, 519, 14361, 543, 922, 11317, 1107, 9211, 267, 22571, 267, 13672, 5536, 267, 5230, 22140, 267, 543, 22726, 1459, 538, 3859, 17615, 9325, 630, 306, 7968, 264, 2621, 543, 7523, 12519, 17184, 12345, 630, 294, 10135, 338, 1040, 1160, 14075, 539, 4598, 547, 9357, 1944, 5982, 13514, 4049, 4539, 585, 5907, 3334, 543, 1480, 1072, 7567, 269, 4475, 267, 7598, 7347, 5982, 4027, 3800, 3587, 14063, 780, 4537, 1752, 532, 2326, 10110, 610, 1219, 937, 19670, 5982, 267, 4227, 2949, 4598, 2157, 269, 28871, 1031, 6878, 1331, 11956, 267, 4874, 26120, 267, 7250, 748, 2326, 267, 543, 1216, 269, 5071, 619, 2015, 2188, 971, 607, 1570, 5860, 267, 16069, 1379, 267, 543, 1582, 6879, 1752, 532, 3601, 950, 8939, 3617, 31364, 3435, 269, 769, 930, 2665, 267, 3742, 31364, 2553, 2308, 3167, 610, 6419, 4610, 547, 31818, 9901, 5536, 2476, 689, 6213, 2127, 780, 20238, 2747, 2182, 2287, 4016, 547, 1374, 2994, 6322, 693, 10893, 16426, 2404, 609, 590, 7968, 338, 543, 717, 10135, 338, 269, 6201, 1331, 1210, 7463, 19202, 3457, 1447, 11630, 547, 3441, 267, 4946, 32118, 11387, 5827, 540, 14322, 10342, 1739, 5057, 5821, 267, 543, 6220, 5470, 7020, 6620, 602, 2953, 23659, 17313, 3361, 676, 5982, 4205, 780, 8139, 519, 2591, 7915, 538, 11488, 513, 16785, 2282, 519, 6129, 3340, 1702, 2066, 2789, 10459, 267, 8151, 689, 28936, 12695, 547, 4702, 269, 3414, 10319, 18129, 899, 519, 9891, 2107, 321, 3438, 5692, 267, 8103, 5170, 11319, 519, 6302, 540, 3621, 6602, 267, 9750, 938, 8223, 540, 519, 7122, 1472, 721, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 23530, 2107, 321, 3438, 17030, 4886, 454, 10144, 543, 5240, 454, 1892, 476, 278, 5988, 476, 1708, 271, 281, 2991, 3275, 540, 7920, 11191, 2866, 267, 1079, 17799, 693, 519, 10131, 14950, 543, 513, 10571, 31667, 531, 267, 519, 9891, 2107, 321, 3438, 1852, 6887, 693, 30673, 781, 5692, 1852, 616, 4712, 585, 519, 6129, 269, 476, 272, 994, 268, 9891, 2107, 321, 3438, 786, 1491, 519, 1101, 1463, 2592, 540, 519, 6129, 781, 18635, 267, 855, 3478, 883, 519, 1318, 10739, 547, 798, 713, 1797, 2921, 513, 3138, 4878, 2619, 998, 519, 6418, 9891, 3590, 267, 24228, 19876, 689, 519, 3532, 14965, 4610, 540, 3047, 543, 19026, 563, 268, 30581, 540, 14361 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 25519, 816, 320, 717, 643, 839, 267, 6660, 342, 879, 27365, 5358, 15440, 454, 1103, 2038, 4873, 267, 590, 21750, 654, 296, 681, 5661, 547, 3004, 2812, 20271, 3599, 11347, 267, 4024, 773, 10127, 573, 529, 267, 14376, 519, 645, 833, 12658, 593, 513, 1353, 4663, 547, 24354, 269, 1284, 941, 10483, 676, 930, 540, 6660, 342, 879, 27365, 779, 1034, 10069, 1242, 645, 7709, 8016, 3401, 543, 741, 3885, 267, 8362, 25054, 593, 513, 3460, 547, 1544, 543, 2936, 519, 476, 1789, 628, 9335, 4856, 5090, 528, 3838, 14025, 13009, 269, 634, 476, 1789, 628, 9335, 4856, 5090, 528, 3838, 14025, 13009, 568, 513, 6069, 476, 277, 269, 278, 2173, 328, 267, 6404, 17263, 3039, 3118, 602, 1131, 1921, 519, 670, 1678, 26826, 3557, 20417, 547, 922, 7013, 2865, 1448, 543, 1711, 513, 8520, 1472, 519, 2749, 676, 8220, 609, 519, 18718, 23516, 20417, 547, 519, 22070, 563, 1607, 568, 519, 2034, 1353, 4663, 519, 645, 833, 12658, 814, 1044, 593, 609, 519, 476, 1789, 628, 9335, 4856, 5090, 528, 20417, 29663, 269, 634, 942, 5059, 593, 835, 267, 519, 1546, 638, 785, 516, 12338, 5682, 3118, 267, 543, 606, 6932, 1788, 267, 606, 782, 2275, 640, 27296, 267, 519, 15608, 8402, 5682, 3118, 269, 1284, 4941, 547, 1451, 875, 24354, 619, 616, 2921, 2962, 547, 1628, 10930, 543, 8902, 1857, 5624, 888, 6524, 594, 1205, 883, 519, 1353, 4663, 3877, 267, 594, 1589, 2348, 930, 3140, 2796, 827, 24354, 568, 1898, 563, 3080, 3112, 1174, 24354, 779, 1686, 1510, 14344, 922, 6422, 4563, 1686, 269, 634, 2749, 814, 1044, 693, 519, 4099, 540, 7920, 7292, 6214, 267, 1256, 1354, 519, 1101, 4279, 24779, 538, 519, 2038, 476, 5002, 271, 338, 269, 2311, 602, 942, 267, 3979, 4892, 3459, 6028, 519, 5045, 267, 543, 1082, 6410, 547, 24354, 269, 3245, 476, 4489, 271, 268, 4572, 271, 519, 3979, 1977, 2551, 8057, 3670, 4627, 2600, 269, 9603, 547, 8027, 7130, 267, 1034, 3979, 4892, 941, 7142, 883, 519, 2539, 7532, 2427, 540, 24354, 267, 1634, 607, 4563, 645, 18847, 630, 763, 2012, 4563, 645, 18847, 2501, 689, 519, 4158, 267, 15417, 1283, 31542, 602, 729, 513, 851, 540, 519, 5757, 5523, 540, 519, 5211, 14205, 1195, 731, 267, 799, 729, 12617, 607, 513, 29326, 538, 519, 476, 9264, 271, 338, 1916, 6624, 3979, 4892, 5249, 538, 519, 10081, 2872, 543, 941, 1818, 513, 2713, 13230, 3379, 547, 2671, 23145, 13827, 538, 519, 5045, 269, 901, 4847, 1004, 547, 1930, 741, 1378, 4213, 543, 19121, 519, 7404, 1858, 540, 21537, 1047, 9503, 267, 513, 1630, 4040, 9913, 543, 1870, 8664, 998, 519, 476, 4198, 271, 338, 269, 10801, 519, 942, 540, 519, 1101, 4279, 24779, 998, 519, 476, 3583, 338, 267, 519, 3540, 2924, 540, 4563, 4892, 18487, 543, 538, 24354, 7283, 17866, 269, 1635, 519, 2663, 476, 2412, 338, 267, 950, 519, 5313, 8027, 957, 729, 5293, 267, 1804, 5666, 540, 7616, 689, 6115, 941, 2366, 547, 4872, 2066, 519, 2197, 547, 2936, 968, 31413, 20622, 531, 1848, 6276, 25930, 7773, 5219, 547, 4683, 25430, 607, 27573, 1893, 267, 9232, 1034, 7187, 4872, 1631, 616, 7722, 538, 1945, 1572, 4683, 25430, 267, 799, 1797, 907, 10864, 549, 8851, 282, 602, 568, 1018, 621, 1797, 267, 543, 519, 5313, 2229, 568, 606, 6104, 823, 547, 713, 1249, 1848, 1635, 476, 3422, 271, 519, 8378, 267, 922, 7221, 267, 543, 519, 1004, 941, 8854, 267, 1152, 547, 581, 8719, 609, 4057, 1857, 8027, 7835, 267, 2220, 23411, 540, 7477, 656, 2244, 267, 543, 3955, 8063, 476, 4037, 563, 5629, 519, 2197, 779, 8772, 1034, 29245, 2749, 267, 689, 519, 476, 4198, 271, 338, 268, 3583, 338, 519, 22576, 540, 519, 16669, 2872, 689, 24354, 2451, 1082, 1510, 4023, 13848, 267, 519, 1753, 26782, 3454, 3490, 1185, 1044, 1232, 13846, 267, 543, 3959, 2418, 20034, 5471, 539, 269, 3414, 3983, 9931, 9335, 9388, 547, 2226, 533, 5014, 267, 543, 519, 1533, 17528, 24354, 676, 711, 3246, 922, 4023, 2671, 540, 1533, 3454, 19614, 267, 602, 1533, 7142, 24354, 883, 28153, 538, 476, 1001, 274, 269, 24354, 779, 28153, 568, 519, 4102, 18513, 28153, 538, 772, 2529, 269, 1686, 547, 4266, 269, 1703, 568, 513, 6404, 9126, 540, 6114, 547, 875, 519, 2339, 3893, 865, 856, 540, 1688, 282, 2705, 267, 621, 568, 2312, 602, 538, 1804, 851, 267, 24354, 729, 705, 564, 1540, 676, 4057, 1533, 267, 5313, 267, 543, 2199, 8027, 4507, 267, 6283, 543, 1646, 4507, 267, 543, 6038, 513, 2528, 540, 10168, 563, 19547, 20936, 568, 2679, 513, 476, 2767, 269, 276, 28902, 1875, 2173, 19318, 1242, 3039, 3118, 602, 786, 2196, 998, 476, 2537, 16973, 1572, 519, 15608, 8402, 5682, 3118, 630, 297, 299, 294, 1040, 3776, 4663, 3459, 693, 519, 8055, 6828, 267, 606, 11265, 6109, 593, 519, 21632, 6989, 540, 519, 8978, 26851, 2679, 538, 519, 2749, 4099, 269, 1284, 4682, 998, 513, 1804, 851, 540, 519, 1788, 1544, 998, 14245, 269, 634, 835, 2312, 3364, 568, 602, 519, 15608, 8402, 5682, 3118, 1788, 6818, 547, 7816, 519, 2800, 602, 519, 1004, 540, 24354, 723, 4810, 998, 1296, 540, 11528, 10168, 543, 267, 538, 2490, 267, 543, 851, 267, 28153, 563, 763, 1655, 851, 540, 519, 1353, 4663, 729, 8380, 938, 1895, 856, 538, 519, 2361, 269, 1284, 14612, 998, 519, 6069, 3039, 3118, 1858, 547, 2743, 519, 1004, 3238, 538, 713, 1788, 269, 2060, 519, 9565, 1788, 267, 875, 1134, 941, 519, 2229, 8041, 543, 4058, 10909, 26089, 3972, 1063, 2933, 543, 7264, 2713, 538, 519, 2146, 286, 898, 729, 1152, 476, 3583, 1296, 3516, 602, 519, 2229, 4174, 5529, 2476, 519, 5321, 543, 4213, 540, 7366, 540, 3979, 1977, 7264, 269, 12389, 7264, 1869, 3314, 24905, 1782, 741, 1378, 5321, 543, 11488, 519, 3788, 547, 16150, 18126, 547, 1118, 513, 1906, 3063, 9489, 269, 1284, 14612, 547, 2185, 5094, 6753, 2059, 519, 6069, 3039, 3118, 8905, 269, 1284, 3459, 693, 4936, 22603, 5244, 538, 4639, 24354, 543, 8694, 538, 4400, 1633, 5244, 3345, 540, 519, 4975, 269, 1284, 1558, 7264, 543, 2229, 3401, 945, 941, 27153, 538, 519, 808, 299, 294, 1788, 269, 634, 936, 31186, 6612, 568, 585, 513, 3039, 3118, 602, 1264, 906, 824, 8378, 7221, 971, 607, 11614, 267, 3506, 267, 543, 11537, 9913, 28503, 267, 3246, 811, 14479, 543, 513, 19618, 2749, 563, 2171, 1558, 10588, 476, 277, 11347, 22859, 1744, 2335, 7043, 267, 513, 4759, 540, 519, 1788, 779, 18299, 523, 27545, 9730, 693, 590, 1023, 5424, 7591, 7615, 593, 24354, 779, 5087, 1439, 269, 22859, 6045, 875, 1200, 960, 607, 513, 2146, 28013, 814, 922, 5072, 538, 5885, 606, 5044, 540, 1514, 2533, 269, 1703, 616, 1100, 3476, 1022, 3506, 538, 10588, 476, 277, 269, 22859, 14437, 827, 875, 519, 808, 299, 294, 568, 811, 982, 1175, 513, 13009, 855, 606, 4316, 547, 2417, 1020, 519, 8664, 607, 513, 14909, 1747, 602, 666, 2743, 811, 2115, 585, 3885, 547, 10653, 563, 2171, 20386, 909, 519, 4663, 609, 24354, 779, 25337, 17919, 8630, 267, 667, 6874, 1144, 681, 1938, 630, 291, 15045, 1040, 634, 667, 15045, 14747, 31522, 24305, 267, 513, 2146, 1895, 11878, 267, 1169, 14349, 543, 11728, 1282, 519, 15911, 3275, 269, 634, 2565, 2527, 2511, 2146, 26055, 666, 6095, 1676, 936, 476, 272, 267, 1822, 1004, 14964, 998, 24354, 4683, 10754, 563, 2252, 596, 4718, 713, 8630, 856, 593, 519, 8265, 267, 596, 949, 12161, 873, 585, 513, 3983, 817, 27576, 8630, 1368, 8973, 2576, 3116, 779, 30158, 269, 1717, 267, 3079, 267, 789, 4782, 519, 29465, 29374, 1079, 2914, 31856, 518, 267, 3983, 817, 2044, 1869, 3769, 269, 3962, 540, 741, 21891, 568, 606, 3312, 1106, 540, 1582, 22325, 609, 8279, 267, 669, 4435, 267, 513, 701, 554, 9734, 13063, 267, 3710, 2987, 10529, 267, 543, 540, 1576, 267, 741, 30933, 1700, 548, 1430, 642, 3949, 609, 13907, 540, 8630, 2389, 1335, 539, 15649, 269, 634, 11348, 995, 1895, 729, 8547, 538, 476, 1220, 276, 676, 19375, 715, 2465, 2917, 267, 543, 824, 2818, 899, 16628, 12891, 807, 29928, 6273, 519, 5250, 540, 513, 2898, 21597, 540, 2147, 15731, 2066, 519, 2749, 563, 291, 15045, 1558, 909, 609, 938, 10707, 12284, 543, 18799, 513, 2189, 11878, 1175, 585, 721, 269, 1284, 887, 1372, 782, 936, 519, 2749, 689, 25708, 547, 519, 16973, 267, 21986, 532, 519, 3964, 1546, 638, 785, 516, 12338, 5682, 3118, 267, 513, 2630, 17263, 13374, 267, 19497, 513, 9835, 2558, 6064, 5375, 21805, 1899, 267, 4092, 593, 519, 7532, 2427, 267, 4947, 538, 693, 1175, 936, 513, 13304, 543, 513, 3368, 1279, 269, 634, 1546, 638, 785, 516, 12338, 729, 4904, 609, 19516, 20379, 267, 824, 7814, 1235, 267, 1004, 2921, 22692, 6337, 267, 543, 1004, 8384, 269, 634, 808, 299, 294, 11556, 786, 1921, 609, 519, 1546, 638, 785, 516, 12338, 563, 12552, 547, 667, 15045, 779, 1489, 543, 6891, 540, 23274, 267, 621, 729, 2312, 602, 3025, 729, 2348, 513, 1434, 942, 543, 5433, 6899, 543, 851, 540, 1945, 269, 634, 968, 31138, 892, 568, 29267, 626, 752, 2406, 519, 1379, 540, 15203, 543, 875, 621, 666, 3142, 1004, 1927, 7488, 540, 2085, 267, 5198, 267, 2702, 267, 610, 23407, 3009, 563, 763, 3803, 1554, 540, 519, 1353, 4663, 729, 4904, 609, 811, 14245, 269, 634, 1895, 8737, 1055, 609, 513, 11878, 593, 24354, 779, 1558, 549, 8265, 8364, 267, 519, 1627, 11060, 267, 543, 1185, 519, 3078, 4316, 547, 1921, 609, 667, 1446, 24806, 267, 519, 10324, 8689, 540, 519, 22858, 639, 20653, 617, 4435, 563, 3086, 602, 519, 1895, 543, 681, 5661, 547, 3004, 2812, 20271, 3599, 723, 6192, 513, 16861, 23250, 1353, 585, 519, 476, 1789, 628, 9335, 4856, 5090, 528, 3838, 14025, 13009, 267, 519, 1895, 814, 1044, 13752, 513, 9886, 547, 2932, 606, 12581, 1646, 1544, 269, 1548, 3788, 2565, 585, 782, 267, 568, 547, 1246, 3785, 899, 891, 267, 543, 2628, 3007, 547, 519, 5955, 689, 7264, 267, 543, 952, 789, 1745, 741, 9739, 616, 1373, 4862, 269, 1403, 519, 15608, 8402, 5682, 3118, 7140, 856, 4376, 899, 519, 1546, 638, 785, 516, 12338, 267, 621, 786, 581, 513, 1665, 540, 1967, 269, 1284, 616, 29014, 543, 9599, 585, 519, 476, 1789, 628, 9335, 20417, 22687, 543, 2832, 547, 1489, 519, 6932, 1788, 538, 513, 6209, 1259, 269, 0, 21615, 1046, 593, 513, 13858, 2518, 3408, 607, 649, 5490, 883, 519, 4872, 540, 519, 1158, 538, 938, 9159, 2262, 3406, 11015, 269, 769, 713, 2502, 2534, 267, 596, 3580, 6330, 998, 513, 7470, 540, 5022, 547, 10625, 6456, 1913, 1644, 547, 23509, 267, 3397, 571, 267, 918, 4599, 328, 267, 30209, 267, 670, 836, 345, 17924, 267, 19864, 267, 6792, 4975, 267, 31297, 267, 667, 6686, 338, 572, 671, 21807, 267, 543, 27292, 563, 10376, 2749, 11438, 922, 1378, 2189, 27559, 267, 689, 519, 7499, 13300, 540, 23509, 547, 519, 11265, 2261, 12069, 540, 30209, 269, 10812, 519, 3140, 16782, 540, 3397, 571, 267, 19586, 519, 2067, 5898, 540, 918, 4599, 328, 267, 610, 23365, 3054, 538, 519, 7524, 2528, 540, 6792, 4975, 269, 26588, 5155, 707, 8343, 1983, 607, 596, 10625, 519, 6456, 1913, 538, 713, 20079, 540, 519, 2622, 6478, 9612, 3063, 341, 12298, 5633, 563, 5278, 21624, 12700, 13565, 1677, 901, 6478, 9612, 454, 14503, 648, 1338, 267, 7977, 267, 568, 1634, 607, 519, 4332, 2897, 540, 519, 11193, 267, 609, 11599, 21056, 899, 519, 23509, 24130, 267, 519, 772, 742, 714, 328, 20155, 267, 543, 519, 623, 517, 974, 966, 1815, 577, 1470, 15386, 519, 2749, 779, 3638, 2686, 6561, 563, 288, 6588, 267, 3127, 267, 568, 1753, 547, 519, 15999, 29069, 10067, 531, 267, 606, 11265, 20100, 543, 835, 540, 519, 1715, 18599, 654, 1180, 619, 540, 519, 2622, 267, 3710, 676, 14890, 20961, 808, 25301, 607, 513, 15266, 547, 1010, 2648, 585, 1010, 3735, 7385, 563, 298, 4599, 328, 267, 17289, 267, 568, 4583, 585, 922, 10875, 14680, 30917, 267, 29814, 17822, 267, 543, 12627, 268, 27234, 7297, 267, 19788, 8436, 689, 1472, 519, 1158, 585, 4224, 16246, 267, 2879, 1251, 9934, 267, 543, 6532, 5577, 4771, 9035, 563, 21574, 28535, 267, 8050, 267, 568, 12021, 585, 922, 2189, 6189, 267, 1519, 519, 30642, 13144, 540, 16653, 328, 717, 7596, 6403, 267, 971, 607, 519, 4583, 32371, 2784, 320, 12259, 807, 543, 5244, 717, 6686, 749, 563, 295, 836, 345, 17924, 267, 3624, 267, 568, 9976, 585, 922, 29271, 4639, 8235, 267, 513, 20648, 2622 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 263, 8310, 21213, 593, 2433, 476, 2918, 268, 6349, 268, 1001, 274, 994, 19604, 2088, 32251, 13527, 568, 4092, 538, 5101, 19453, 321, 21065, 8664, 454, 269, 4498, 2088, 32251, 13527, 568, 17479, 5111, 827, 476, 3066, 18741, 18852, 689, 8000, 6390, 13332, 10361, 638, 6621, 540, 519, 5101, 19453, 321, 21065, 8664, 563, 19604, 2088, 32251, 13527, 568, 4583, 585, 7083, 32251, 454, 299, 532, 320, 269, 7083, 32251, 568, 26902, 5792, 2523, 593, 519, 2063, 1554, 540, 519, 3923, 540, 808, 13433, 15925, 269, 4340, 547, 519, 4095, 13299, 454, 267, 593, 713, 1554, 540, 808, 13433, 15925, 267, 513, 1297, 540, 32251, 561, 902, 5614, 909, 689, 2666, 2282, 519, 3312, 32251, 19388, 600, 454, 663, 14897, 13604, 269, 589, 1455, 4023, 568, 4371, 593, 713, 4266, 269, 634, 13037, 16569, 585, 1614, 2395, 563, 1607, 2376, 568, 513, 20839, 269, 1411, 666, 10802, 676, 4946, 811, 1344, 547, 621, 269, 27189, 707, 3503, 5455, 547, 4757, 11333, 2593, 454, 25748, 21213, 15080, 538, 4095, 14080, 11040, 454, 27242, 13466, 301, 698, 531, 663, 13527, 14080, 11040, 2008, 301, 698, 531, 663, 13527, 14080, 11040, 616, 6140, 12119, 543, 519, 24587, 616, 7281, 539, 585, 741, 25736, 593, 519, 8498, 11570, 269, 4107, 540, 891, 15976, 10250, 741, 5169, 547, 519, 5065, 17174, 2528, 540, 519, 3148, 563, 27242, 13466, 293, 652, 11040, 540, 31881, 330, 574, 2008, 763, 15976, 540, 31881, 330, 574, 1131, 711, 1152, 14219, 1508, 519, 6891, 855, 849, 1131, 581, 513, 3636, 10950, 689, 519, 27865, 517, 748, 8430, 563, 27242, 13466, 293, 652, 11040, 540, 2107, 20811, 2008, 763, 15976, 540, 13095, 22781, 616, 519, 6041, 540, 519, 3638, 2528, 543, 14940, 540, 13095, 22781, 269, 1452, 15976, 849, 2992, 519, 3638, 1686, 540, 519, 1533, 546, 27221, 538, 28370, 543, 3909, 2418, 563, 27242, 13466, 293, 652, 11040, 540, 28294, 584, 2073, 3127, 2008, 763, 15976, 540, 28294, 584, 13423, 558, 1125, 741, 2686, 267, 1514, 543, 3909, 17050, 269, 1358, 11604, 519, 2486, 543, 922, 2686, 6561, 538, 519, 1106, 540, 1114, 6237, 543, 3084, 16873, 563, 27242, 13466, 293, 652, 11040, 540, 808, 327, 1046, 8518, 2008, 10144, 540, 808, 9618, 752, 8518, 9976, 15976, 899, 4591, 328, 267, 4144, 28549, 267, 10548, 18937, 9564, 267, 291, 639, 572, 31137, 267, 932, 327, 987, 10658, 10937, 267, 1666, 9017, 7754, 577, 9564, 267, 3092, 269, 0, 1691, 595, 15709, 19926, 476, 1839, 269, 24833, 910, 4400, 12740, 3457, 563, 5416, 264, 1403, 13617, 1166, 2355, 616, 547, 581, 1031, 1282, 1491, 4752, 267, 1935, 267, 610, 13941, 267, 693, 519, 1374, 1166, 777, 11250, 3964, 585, 891, 5933, 540, 8184, 896, 19926, 476, 1839, 269, 28178, 16216, 264, 543, 609, 519, 13617, 1166, 2355, 538, 519, 7222, 7158, 267, 519, 20987, 568, 10924, 547, 581, 16271, 547, 27101, 18902, 951, 543, 31830, 338, 269, 634, 4611, 3970, 13907, 1590, 5330, 547, 519, 2175, 5462, 607, 5205, 912, 263, 272, 264, 631, 2033, 340, 591, 532, 547, 513, 2318, 3970, 4452, 3815, 540, 476, 273, 269, 271, 282, 543, 454, 263, 273, 264, 15474, 543, 2942, 31830, 338, 540, 476, 1839, 10264, 270, 5913, 661, 3008, 9117, 3339, 547, 519, 8184, 2619, 538, 1377, 8184, 269, 29775, 13907, 4611, 593, 1142, 851, 540, 519, 2497, 1590, 581, 5462, 676, 7787, 2079, 269, 634, 2079, 1590, 1491, 883, 2272, 519, 13417, 1737, 344, 7098, 17871, 4162, 543, 14461, 1560, 20517, 540, 519, 8484, 269, 634, 3337, 540, 519, 31830, 1590, 581, 607, 4330, 538, 19926, 476, 1839, 269, 30130, 5416, 7565, 273, 264, 4849, 602, 20620, 6357, 264, 634, 20987, 1590, 581, 2966, 585, 519, 2175, 11311, 538, 5037, 630, 320, 264, 540, 713, 3296, 267, 4849, 602, 519, 20987, 4452, 3815, 991, 711, 9765, 476, 272, 269, 271, 267, 2921, 883, 2272, 267, 607, 5094, 2175, 267, 519, 2360, 540, 20620, 263, 272, 264, 11330, 11839, 17277, 6894, 7222, 547, 5021, 6024, 1379, 693, 519, 1374, 1166, 777, 11250, 966, 293, 267, 543, 609, 1491, 4752, 1379, 693, 711, 1447, 982, 476, 272, 269, 275, 2053, 519, 588, 16226, 3432, 585, 519, 1880, 1166, 777, 2990, 543, 2404, 5021, 2597, 282, 543, 454, 263, 273, 264, 589, 2212, 6823, 31830, 540, 476, 1839, 3952, 829, 2034, 6991, 630, 292, 3008, 1916, 6262, 264, 1403, 1166, 2355, 610, 824, 1164, 12740, 3457, 616, 547, 581, 1031, 538, 679, 8905, 2175, 267, 543, 609, 1166, 2355, 538, 519, 3617, 2990, 693, 11250, 909, 547, 519, 1166, 777, 1374, 3432, 6074, 585, 891, 2175, 267, 519, 20987, 568, 10924, 547, 581, 16271, 547, 27101, 18902, 951, 543, 31830, 338, 1369, 519, 2039, 5462, 676, 20620, 263, 273, 264, 634, 7299, 31830, 543, 31285, 2175, 11311, 538, 19926, 476, 1839, 269, 30130, 5416, 264, 543, 630, 321, 1916, 763, 1739, 1533, 6042, 3817, 3095, 547, 713, 2985, 269, 0, 314, 290, 7973, 2762, 316, 15932, 32089, 2203, 585, 14238, 607, 513, 3450, 1907, 888, 338, 22929, 514, 577, 2088, 693, 575, 21166, 2593, 454, 293, 686, 4239, 476, 2918, 476, 2537, 281, 6860, 281, 3066, 29269, 476, 1001, 279, 454, 11990, 9324, 12027, 3842, 25563, 2999, 322, 7973, 2762, 693, 1558, 345, 323, 578, 323, 2593, 285, 5206, 912, 285, 3436, 594, 6415, 3450, 513, 1362, 593, 8668, 3354, 3622, 2676, 16032, 1433, 594, 917, 912, 285, 3436, 543, 21888, 4249, 711, 513, 1507, 851, 538, 621, 563, 9563, 634, 3312, 11000, 1185, 513, 2603, 540, 3140, 2796, 4429, 296, 9364, 581, 20916, 547, 1521, 1098, 6570, 1299, 18839, 13713, 1299, 979, 689, 454, 29442, 547, 10539, 1299, 18236, 267, 1287, 2413, 524, 760, 1667, 269, 594, 1589, 1312, 454, 1492, 1883, 7302, 334, 4680, 8584, 268, 11279, 16615, 2203, 1299, 519, 9501, 3060, 1374, 454, 2998, 1394, 547, 1744, 27553, 269, 15147, 1346, 13713, 267, 1287, 3171, 626, 601, 1299, 23370, 2676, 263, 1037, 1599, 568, 606, 9501, 301, 1070, 6368, 513, 3787, 827, 589, 2464, 563, 2304, 22605, 2376, 602, 568, 7361, 1250, 1603, 568, 2484, 689, 454, 14814, 267, 855, 594, 1589, 513, 10257, 1383, 540, 513, 9266, 454, 285, 7102, 21888, 2608, 17882, 265, 17709, 540, 519, 2012, 3085, 1405, 1175, 12990, 454, 285, 7161, 2687, 547, 513, 6378, 32089, 267, 855, 3096, 513, 1114, 454, 285, 32089, 585, 1142, 3625, 538, 519, 5048, 269, 901, 568, 1141, 10001, 338, 454, 285, 543, 5832, 532, 12331, 2097, 538, 269, 4429, 285, 594, 4312, 1419, 1767, 596, 2731, 1616, 513, 1007, 1883, 585, 1142, 3625, 563, 285, 24755, 2419, 320, 666, 581, 1360, 10464, 569, 556, 4486, 539, 689, 15072, 267, 799, 568, 513, 454, 285, 16495, 269, 30003, 5832, 532, 12331, 616, 513, 2656, 7146, 1673, 8812, 1259, 454, 285, 540, 3478, 5111, 1018, 596, 1616, 267, 1510, 519, 1942, 540, 454, 285, 4628, 556, 651, 3539, 519, 5817, 3625, 29905, 5057, 267, 855, 454, 285, 594, 4312, 2760, 1044, 4625, 6126, 609, 713, 563, 301, 528, 594, 269, 3733, 2037, 577, 559, 3385, 19169, 547, 519, 11404, 2464, 2752, 6461, 5344, 29905, 454, 4818, 564, 819, 814, 513, 2009, 3070, 269, 14840, 513, 3625, 29905, 630, 288, 2464, 264, 538, 513, 454, 19702, 656, 540, 4831, 7154, 547, 1205, 513, 6908, 29905, 269, 2506, 5523, 519, 3625, 29905, 454, 514, 606, 2473, 3036, 268, 11279, 16615, 29930, 3036, 2497, 630, 2889, 1597, 5150, 676, 4634, 1299, 32617, 712, 994, 5976, 1776, 6908, 29905, 630, 2419, 320, 2419, 320, 264, 10451, 513, 1007, 2473, 3036, 1883, 829, 3625, 454, 5319, 577, 559, 3385, 1705, 711, 1118, 621, 856, 540, 519, 1101, 5180, 540, 519, 6735, 563, 5415, 1344, 827, 519, 25563, 0, 16829, 281, 2904, 476, 866, 628, 267, 476, 1001, 278, 454, 288, 3461, 779, 5750, 6920, 513, 1686, 540, 23971, 4345, 269, 6904, 540, 519, 1739, 1131, 596, 711, 2503, 547, 1294, 609, 713, 3461, 952, 713, 2783, 941, 8650, 888, 288, 269, 16842, 14031, 454, 291, 269, 18648, 10892, 540, 1769, 454, 20278, 606, 1931, 538, 476, 274, 2653, 3268, 269, 570, 1389, 1447, 982, 476, 276, 25008, 269, 0, 12812, 547, 24946, 2221, 2336, 278, 281, 272, 268, 1321, 281, 1724, 667, 3198, 296, 5085, 24912, 966, 3041, 12778, 306, 454, 7212, 519, 22649, 6394, 538, 713, 3296, 540, 519, 1433, 616, 538, 16977, 26567, 1931, 267, 972, 568, 1100, 6654, 4276, 3056, 835, 593, 547, 519, 1985, 269, 3962, 5075, 814, 513, 5094, 543, 3982, 5048, 563, 288, 5075, 540, 2185, 581, 6814, 630, 278, 281, 272, 268, 1691, 994, 1103, 519, 1101, 5075, 630, 3369, 846, 26567, 2990, 1131, 581, 1063, 30667, 476, 275, 543, 476, 276, 1070, 12253, 4718, 513, 4049, 7088, 28817, 909, 519, 4262, 267, 1287, 267, 4947, 909, 856, 540, 519, 986, 3101, 7297, 267, 2185, 9490, 581, 6814, 269, 634, 2495, 630, 4820, 569, 6045, 2663, 538, 519, 3184, 264, 4667, 547, 581, 602, 2696, 729, 2324, 538, 519, 12602, 540, 519, 3148, 267, 28817, 909, 2621, 602, 3812, 538, 2490, 2185, 25267, 630, 278, 281, 272, 268, 274, 282, 1294, 849, 642, 269, 476, 1704, 1916, 763, 2185, 25267, 6719, 1934, 616, 519, 1482, 2185, 25267, 11609, 538, 3848, 476, 273, 267, 855, 972, 568, 513, 3017, 538, 8561, 269, 24641, 519, 5075, 2016, 547, 519, 3002, 1156, 4622, 3026, 321, 1276, 611, 928, 3960, 541, 18808, 538, 2489, 609, 519, 3140, 4644, 540, 519, 2621, 3090, 1242, 267, 519, 5075, 2016, 547, 2696, 779, 22700, 12253, 18808, 811, 609, 875, 891, 2621, 1131, 1860, 519, 1004, 540, 2696, 269, 634, 8561, 538, 3848, 476, 273, 729, 602, 2696, 8060, 519, 4473, 543, 2887, 540, 23693, 269, 634, 8561, 538, 3848, 476, 278, 568, 602, 2696, 28933, 1010, 1004, 998, 519, 11685, 602, 891, 23693, 3142, 563, 289, 629, 14125, 267, 519, 10806, 3090, 1242, 676, 519, 1101, 28458, 267, 729, 10583, 267, 678, 3578, 1652, 543, 14955, 20960, 762, 693, 519, 4098, 267, 855, 2663, 922, 16970, 1379, 21352, 539, 543, 621, 2968, 811, 1480, 324, 630, 275, 1040, 634, 2034, 28458, 267, 2907, 4189, 835, 6408, 543, 3478, 4712, 547, 533, 8784, 593, 1776, 267, 3090, 1242, 519, 2405, 334, 6261, 619, 1014, 7276, 538, 922, 6067, 9037, 21037, 630, 276, 1040, 634, 3791, 28458, 3182, 3293, 519, 16190, 21037, 676, 12138, 519, 4279, 543, 519, 3262, 540, 519, 5259, 7276, 630, 277, 1916, 763, 8772, 28458, 267, 865, 29695, 543, 15265, 602, 621, 729, 3564, 6609, 267, 3090, 1242, 22266, 782, 8410, 638, 1359, 7507, 269, 3245, 519, 1082, 25267, 630, 8072, 1084, 28712, 32426, 4547, 1927, 538, 519, 4936, 7276, 267, 835, 6205, 630, 320, 2048, 331, 8077, 18057, 32426, 7153, 607, 811, 678, 3578, 1652, 982, 782, 1866, 269, 1261, 23689, 1346, 945, 10353, 1864, 543, 3964, 5128, 607, 513, 16970, 17946, 718, 3188, 762, 9598, 1807, 630, 278, 268, 279, 1916, 25405, 1408, 1287, 1185, 513, 5075, 540, 519, 535, 30711, 669, 926, 582, 6253, 337, 821, 540, 2696, 267, 2390, 799, 2893, 519, 7083, 540, 519, 7122, 269, 1261, 1131, 9794, 1010, 7068, 609, 6207, 19454, 543, 31604, 5126, 630, 280, 268, 1015, 1040, 634, 2048, 331, 8077, 18057, 685, 9598, 1807, 1500, 971, 6811, 547, 1379, 602, 2696, 1223, 20496, 1864, 1100, 3476, 269, 3571, 1554, 540, 10385, 1185, 2097, 269, 634, 1614, 3105, 25267, 941, 8806, 24057, 3497, 910, 3144, 936, 2864, 982, 530, 21317, 856, 269, 901, 8772, 10806, 267, 2705, 267, 896, 519, 6207, 4341, 540, 922, 818, 5766, 656, 9598, 1807, 267, 729, 4625, 543, 24271, 559, 612, 569, 10032, 630, 1556, 268, 1321, 1916, 1103, 1747, 540, 713, 4550, 8566, 617, 10806, 513, 1007, 10806, 729, 1305, 909, 267, 835, 602, 729, 1114, 689, 782, 602, 1185, 8854, 1354, 269, 898, 729, 1305, 909, 711, 676, 513, 28458, 6438, 4137, 855, 676, 513, 812, 6438, 4137, 269, 901, 729, 519, 8471, 10806, 540, 2696, 630, 1724, 268, 1691, 1916, 11328, 13133, 566, 540, 519, 5075, 630, 278, 281, 1428, 268, 2764, 994, 3080, 540, 2696, 779, 31676, 22063, 6045, 547, 12253, 519, 2495, 540, 519, 5075, 269, 634, 25267, 540, 519, 1158, 949, 818, 5766, 14688, 28586, 2696, 538, 741, 678, 3578, 1652, 5397, 585, 29686, 267, 855, 519, 10806, 602, 29217, 538, 519, 1439, 568, 519, 10806, 540, 2696, 267, 519, 1004, 540, 2696, 630, 1428, 268, 1240, 1916, 288, 2601, 568, 1287, 2016, 585, 2696, 779, 14042, 10385, 593 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 616, 4947, 2228, 269, 1452, 3785, 786, 1711, 7366, 540, 5215, 540, 6009, 538, 519, 4947, 1296, 269, 2755, 6046, 543, 5755, 1379, 10473, 616, 19394, 267, 824, 9922, 616, 3395, 5488, 269, 31035, 689, 4227, 519, 3790, 267, 7791, 1648, 3785, 849, 723, 606, 7525, 1764, 593, 519, 1604, 563, 4407, 8093, 10173, 616, 519, 4102, 2707, 540, 5201, 267, 7791, 1648, 2959, 616, 4742, 811, 4922, 1031, 269, 901, 2872, 568, 606, 4998, 11134, 585, 2043, 5461, 538, 7791, 1648, 269, 1280, 1383, 267, 2842, 11396, 267, 3859, 8470, 11396, 267, 543, 27500, 4492, 2959, 616, 782, 3029, 540, 7791, 1648, 269, 1452, 3681, 616, 1390, 585, 1346, 5275, 513, 4264, 543, 2635, 6197, 269, 634, 1379, 2872, 568, 3395, 543, 4657, 6385, 267, 543, 621, 779, 1271, 547, 2015, 519, 2872, 607, 513, 2898, 1354, 8939, 513, 4876, 2619, 563, 21328, 2872, 568, 513, 3395, 2872, 267, 543, 1379, 5108, 568, 1898, 547, 1034, 540, 721, 269, 3245, 6517, 547, 5904, 267, 5201, 7060, 938, 4948, 1272, 269, 769, 1840, 267, 972, 616, 1082, 824, 9922, 602, 946, 1648, 16310, 3167, 1379, 269, 1703, 616, 1082, 2959, 540, 1648, 267, 1519, 6046, 1648, 267, 8093, 10173, 267, 543, 7791, 2959, 269, 11086, 267, 972, 779, 513, 991, 585, 713, 1826, 540, 1648, 269, 898, 568, 513, 2518, 4199, 563, 2252, 596, 2461, 3168, 585, 513, 4876, 602, 3322, 2029, 543, 3946, 6823, 960, 267, 2015, 519, 1379, 5108, 2872, 269, 6787, 596, 8910, 899, 547, 960, 538, 513, 1804, 610, 1507, 8397, 1604, 267, 713, 5823, 786, 1832, 596, 11112, 585, 1082, 1296, 269, 634, 1379, 2872, 568, 513, 3810, 8013, 2361, 267, 543, 513, 4876, 538, 713, 2361, 568, 513, 14785, 543, 3078, 1259, 547, 1118, 513, 2713, 269, 769, 1249, 267, 519, 1648, 5823, 568, 519, 16595, 21212, 2872, 538, 519, 1158, 563, 15371, 610, 711, 1379, 5108, 568, 513, 1434, 4876, 2619, 568, 513, 2123, 3375, 269, 2755, 596, 3580, 2972, 23712, 609, 513, 2319, 540, 1004, 267, 972, 616, 7899, 540, 5383, 543, 11393, 547, 2324, 538, 713, 5823, 269, 1306, 513, 1267, 267, 972, 616, 1082, 2816, 3255, 538, 519, 1648, 2872, 269, 1403, 596, 616, 5461, 538, 1379, 5108, 267, 596, 3580, 1265, 621, 14785, 267, 543, 596, 3580, 581, 513, 851, 540, 621, 585, 519, 1964, 540, 707, 1272, 563, 4407, 519, 1648, 2872, 568, 513, 1390, 3903, 585, 1346, 5275, 606, 3078, 4876, 267, 621, 568, 711, 585, 3025, 269, 1703, 616, 1082, 2081, 547, 7118, 513, 2713, 538, 713, 2361, 269, 2755, 519, 3328, 14057, 568, 2539, 982, 824, 6080, 267, 1082, 1004, 616, 3810, 6976, 538, 519, 2872, 269, 769, 1840, 547, 602, 267, 596, 3580, 581, 2324, 538, 606, 1604, 602, 2636, 596, 547, 1020, 519, 1983, 2556, 585, 519, 2990, 269, 1879, 596, 2461, 4712, 547, 1376, 707, 1648, 4876, 267, 2015, 1018, 1826, 540, 2816, 596, 2461, 13730, 827, 563, 4407, 519, 2872, 568, 538, 513, 1793, 2794, 1631, 267, 621, 568, 3395, 1586, 538, 519, 2104, 269, 2060, 519, 3395, 3747, 585, 1648, 267, 621, 3091, 513, 14785, 4876, 2619, 269, 5047, 267, 519, 2872, 568, 2519, 593, 7791, 1648, 269, 9747, 267, 621, 779, 513, 1390, 3903, 585, 1053, 945, 616, 5461, 538, 7791, 1648, 269, 898, 568, 513, 3810, 8179, 8584, 1123, 2361, 585, 1346, 945, 616, 13730, 827, 713, 2361, 269, 901, 568, 1141, 513, 2603, 540, 1004, 616, 2877, 543, 513, 1434, 2069, 666, 1291, 547, 513, 3811, 2104, 269, 0, 303, 22751, 1118, 4998, 10130, 269, 4256, 3099, 540, 7306, 786, 1450, 596, 547, 3442, 835, 602, 779, 3501, 585, 707, 6197, 543, 789, 723, 513, 4241, 1686, 269, 3367, 519, 623, 22259, 5013, 2630, 547, 1294, 952, 713, 18512, 267, 3810, 10995, 9742, 568, 1318, 585, 596, 2336, 16248, 7306, 540, 533, 22259, 616, 6444, 676, 519, 1977, 26366, 601, 11833, 269, 1452, 616, 519, 9208, 623, 22259, 267, 22387, 1155, 623, 22259, 267, 543, 23625, 623, 22259, 269, 634, 7887, 267, 7555, 936, 476, 1428, 6279, 693, 519, 1283, 540, 519, 13105, 267, 568, 519, 9208, 623, 22259, 269, 8921, 267, 7555, 4557, 6279, 1164, 693, 519, 1283, 540, 519, 13105, 267, 568, 519, 22387, 1155, 623, 22259, 269, 634, 10545, 568, 519, 23625, 623, 22259, 267, 945, 22179, 1063, 3670, 543, 5216, 6550, 267, 543, 568, 10156, 982, 4557, 6279, 693, 519, 1283, 540, 519, 13105, 563, 307, 4176, 23625, 623, 22751, 543, 7448, 1575, 623, 22751, 616, 4130, 982, 513, 23625, 623, 22259, 269, 1452, 7648, 723, 1831, 3833, 2442, 607, 10130, 267, 1498, 789, 616, 711, 2943, 6444, 676, 519, 31650, 290, 269, 634, 3328, 2597, 540, 513, 7448, 1575, 568, 689, 1079, 547, 2185, 6550, 267, 543, 519, 570, 4176, 23625, 8813, 1063, 2185, 543, 3670, 6550, 563, 3080, 623, 22259, 1249, 602, 1082, 616, 711, 3222, 540, 568, 602, 789, 616, 3834, 334, 718, 1120, 21329, 543, 798, 711, 2356, 8774, 741, 535, 2720, 267, 3976, 789, 1118, 519, 1655, 10130, 585, 1004, 609, 11959, 269, 31035, 689, 602, 267, 533, 22751, 798, 711, 723, 602, 2915, 4445, 17627, 267, 865, 789, 616, 1360, 554, 10212, 762, 563, 303, 22751, 616, 835, 540, 519, 9510, 14981, 543, 723, 1044, 519, 544, 26723, 2442, 538, 3013, 2094, 519, 476, 3422, 271, 779, 269, 1358, 941, 851, 540, 3504, 1686, 607, 11609, 676, 519, 5259, 543, 4936, 11113, 20077, 609, 5243, 602, 18613, 623, 22751, 269, 901, 9742, 729, 6444, 676, 519, 31650, 290, 538, 476, 6245, 271, 563, 303, 22751, 941, 2442, 538, 5333, 267, 6576, 543, 5125, 2094, 519, 476, 5611, 271, 779, 1107, 519, 3943, 899, 519, 865, 1454, 602, 789, 1500, 519, 623, 22259, 741, 3084, 2915, 256, 1358, 616, 1134, 1634, 585, 741, 5140, 10122, 1983, 267, 2523, 538, 1216, 1427, 516, 1516, 267, 538, 1249, 519, 2012, 623, 22259, 2501, 689, 519, 4436, 623, 644, 601, 799, 568, 2110, 585, 623, 644, 601, 327, 1495, 2495, 968, 338, 680, 4770, 2915, 6100, 2986, 519, 1614, 1114, 2010, 540, 533, 22751, 267, 519, 3044, 568, 519, 9510, 563, 303, 22751, 723, 4552, 799, 666, 2039, 689, 21432, 547, 2571, 267, 543, 1317, 540, 713, 596, 666, 2285, 707, 623, 22259, 513, 3099, 540, 24056, 610, 11912, 269, 2755, 519, 1397, 2759, 568, 519, 1034, 25992, 267, 623, 22751, 666, 849, 7328, 513, 18626, 17157, 267, 513, 21937, 17157, 267, 606, 2296, 590, 18150, 1849, 760, 610, 513, 4620, 17157, 269, 4256, 4552, 666, 849, 581, 10260, 539, 899, 513, 17240, 328, 610, 918, 558, 1180, 528, 563, 10303, 623, 22751, 616, 10995, 267, 3810, 3742, 543, 1187, 2000, 8221, 267, 596, 3580, 1265, 606, 11995, 1297, 540, 2238, 547, 2972, 609, 707, 2915, 269, 1358, 2461, 5140, 4585, 5243, 543, 666, 581, 8036, 547, 6968, 269, 1358, 666, 1451, 513, 3099, 540, 15361, 3362, 543, 616, 711, 2352, 547, 2777, 5721, 269, 12315, 707, 623, 22259, 7899, 540, 1404, 5503, 543, 13452, 2238, 547, 1832, 1864, 7038, 539, 543, 6126, 269, 1452, 616, 7874, 5243, 543, 786, 2141, 581, 11235, 547, 5225, 563, 303, 22751, 666, 2661, 513, 1279, 942, 952, 789, 616, 2635, 543, 2661, 1134, 269, 7756, 14981, 723, 1114, 12468, 335, 753, 269, 1280, 1383, 267, 519, 23625, 623, 22259, 666, 2661, 909, 547, 476, 1704, 1296, 540, 2085, 1247, 596, 666, 2503, 909, 547, 476, 1691, 1296, 609, 513, 22387, 1155, 623, 22259, 269, 4340, 547, 1034, 623, 22259, 5013, 267, 519, 4102, 9742, 540, 623, 22259, 267, 519, 9208, 267, 814, 513, 1272, 19104, 540, 5111, 476, 1556, 543, 513, 3368, 1296, 563, 2421, 11625, 337, 10463, 634, 623, 22259, 13928, 568, 606, 31650, 290, 10805, 2915, 9742, 269, 634, 1739, 2376, 8039, 519, 9742, 269, 1635, 1631, 1034, 540, 596, 917, 602, 538, 12391, 585, 971, 513, 521, 29983, 13959, 607, 513, 623, 22259, 2501, 519, 5539, 540, 6131, 2915, 25462, 6208, 269, 769, 2474, 540, 2511, 267, 3079, 540, 7487, 713, 991, 540, 741, 338, 607, 513, 20965, 2004, 779, 21756, 8779, 2541, 25595, 2401, 8779, 2541, 667, 816, 814, 4174, 6244, 1283, 543, 11909, 533, 22259, 1236, 7398, 7923, 269, 25595, 2401, 13352, 7306, 476, 273, 268, 275, 269, 12313, 281, 1269, 476, 2918, 269, 4200, 22307, 676, 16629, 857, 334, 3955, 8063, 8535, 623, 22751, 17865, 1299, 3212, 3899, 1744, 5474, 11814, 1043, 5590, 11754, 513, 2370, 993, 648, 543, 27164, 2511, 547, 707, 10051, 610, 2445, 17156, 15808, 609, 6419, 21098, 532, 6070, 1299, 14723, 695, 5474, 256, 476, 275, 16357, 7381, 16634, 717, 11961, 20965, 2005, 779, 2141, 1434, 547, 1205, 29067, 1031, 547, 1373, 533, 12097, 543, 605, 323, 4765, 543, 8947, 269, 17268, 899, 533, 22751, 945, 786, 2154, 513, 2603, 540, 25462, 723, 547, 581, 1360, 1434, 585, 1775, 2507, 8437, 3371, 547, 6258, 1215, 14168, 621, 568, 547, 717, 3336, 2659, 13928, 693, 5851, 256, 623, 22259, 28523, 344, 8835, 2472, 596, 1058, 1832, 606, 3750, 593, 281, 31218 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 1548, 2306, 873, 4686, 568, 602, 789, 2811, 1152, 1336, 538, 930, 1666, 5306, 2520, 3941, 267, 799, 616, 17860, 21272, 2813, 856, 540, 24348, 543, 15027, 4224, 602, 814, 1044, 22799, 3533, 563, 2252, 596, 4076, 2479, 2938, 513, 2520, 1712, 267, 621, 779, 12691, 602, 621, 3769, 522, 5287, 924, 267, 607, 891, 2370, 13421, 616, 1360, 4686, 563, 1607, 786, 9514, 707, 2247, 269, 898, 5654, 899, 513, 11993, 2000, 830, 10316, 267, 855, 8909, 569, 267, 649, 666, 1405, 1289, 621, 513, 18654, 6823, 269, 898, 779, 513, 11993, 269, 5345, 1211, 569, 267, 19790, 976, 616, 711, 4686, 855, 713, 1880, 11993, 568, 1360, 8966, 543, 621, 729, 13603, 1318, 1055, 519, 3529, 899, 713, 563, 2005, 781, 3274, 513, 2339, 540, 519, 1259, 621, 18009, 2989, 593, 519, 3529, 602, 3361, 713, 3592, 3501, 2681, 11544, 269, 634, 5835, 3368, 1590, 723, 2938, 1454, 811, 7943, 982, 519, 3039, 3368, 543, 1631, 649, 723, 513, 3501, 4829, 585, 1975, 1679, 5010, 338, 563, 294, 5050, 10979, 645, 8712, 454, 2171, 1430, 666, 581, 513, 1390, 2707, 540, 9490, 2943, 2067, 21272, 267, 1454, 899, 519, 11993, 2000, 830, 269, 6884, 1498, 267, 2470, 666, 2285, 721, 1945, 31029, 269, 1284, 4076, 782, 1044, 9575, 538, 513, 4764, 10445, 855, 950, 602, 4764, 3587, 4672, 713, 568, 1018, 596, 1205, 563, 2414, 1294, 30339, 568, 513, 1455, 12136, 855, 950, 621, 779, 519, 2450, 540, 513, 1480, 1688, 621, 779, 1360, 16613, 269, 1452, 1880, 9649, 4672, 11084, 8593, 689, 519, 6607, 538, 17665, 269, 898, 779, 606, 15813, 8289, 855, 519, 2450, 540, 891, 568, 32049, 543, 666, 2014, 3978, 3441, 563, 290, 1511, 540, 519, 24083, 1023, 454, 4407, 649, 666, 1294, 1034, 1919, 538, 713, 1158, 267, 1934, 779, 513, 1747, 649, 666, 1405, 782, 3643, 269, 10878, 3821, 267, 6792, 18795, 827, 476, 2568, 5195, 5045, 540, 932, 8811, 340, 1695, 7699, 543, 568, 1753, 547, 519, 13946, 540, 519, 14848, 563, 2467, 781, 1100, 824, 1747, 899, 621, 602, 6818, 593, 3618, 269, 901, 9649, 12627, 13946, 3568, 930, 540, 519, 4102, 2067, 12627, 12074, 2479, 1336, 269, 634, 13946, 729, 1152, 1336, 676, 19379, 14155, 908, 513, 1007, 15993, 538, 476, 1220, 271, 269, 634, 7887, 12627, 13006, 865, 2484, 568, 1767, 547, 581, 476, 4375, 3952, 1279, 676, 476, 1724, 3952, 2647, 267, 20604, 476, 4649, 9748, 563, 6546, 779, 513, 2603, 540, 669, 28888, 4536, 269, 8307, 513, 1906, 1004, 723, 2479, 2938, 519, 13946, 267, 585, 513, 1297, 540, 4128, 269, 17616, 267, 1569, 568, 11658, 267, 543, 2034, 569, 267, 596, 991, 11285, 17015, 543, 3937, 267, 1317, 519, 13946, 568, 5393, 3905, 267, 609, 2011, 5210, 8757, 909, 547, 476, 6812, 11019, 290, 563, 296, 4126, 596, 941, 27086, 676, 891, 4686, 1919, 596, 9364, 581, 2731, 18822, 547, 1294, 269, 8729, 585, 2542, 256, 0, 9213, 568, 1631, 711, 1683, 519, 1797, 585, 3257, 1382, 543, 2079, 547, 269, 25307, 3075, 543, 2757, 4915, 616, 3262, 676, 519, 946, 540, 2921, 1416, 540, 269, 6684, 519, 8622, 8540, 540, 7127, 547, 2564, 1416, 7426, 1927, 609, 2564, 7189, 543, 824, 269, 6201, 540, 3676, 1927, 609, 13663, 2309, 2065, 5563, 1644, 547, 7486, 3987, 3987, 22577, 269, 11557, 1302, 10299, 5563, 1644, 10058, 547, 476, 272, 543, 1114, 1688, 1223, 4217, 269, 898, 10607, 2564, 3375, 1818, 16909, 29225, 26437, 1369, 519, 1826, 540, 2984, 689, 835, 1776, 269, 476, 1556, 4458, 1790, 516, 2365, 8004, 547, 5397, 519, 8545, 16030, 1585, 2553, 799, 616, 1031, 547, 11886, 519, 2564, 2115, 269, 769, 2834, 2152, 2027, 6161, 568, 602, 1312, 922, 2409, 543, 2553, 1031, 676, 513, 1166, 5446, 6529, 269, 4746, 3063, 540, 519, 1857, 1072, 2079, 2409, 2347, 9015, 2079, 610, 606, 22631, 1222, 269, 2549, 335, 836, 7128, 723, 1044, 12290, 593, 713, 1382, 3606, 1382, 10442, 519, 9843, 540, 1857, 1072, 1416, 1062, 269, 570, 9582, 666, 581, 8655, 547, 782, 8371, 540, 1857, 4507, 593, 2757, 4915, 269, 31080, 616, 8572, 547, 13209, 519, 2014, 540, 1312, 2757, 4457, 4915, 9099, 2564, 2853, 538, 15057, 269, 7102, 5503, 596, 7237, 513, 3376, 2165, 602, 6257, 2564, 11257, 538, 6917, 2127, 269, 24103, 1670, 11257, 28330, 547, 12263, 543, 547, 1832, 2476, 689, 14933, 2566, 7920, 3635, 563, 763, 7414, 1858, 814, 1031, 513, 2186, 607, 1292, 1072, 1416, 11682, 290, 2115, 269, 4024, 3406, 547, 3986, 5007, 5061, 10685, 518, 5965, 9867, 12015, 3615, 1858, 269, 3657, 972, 1022, 20817, 1331, 2757, 4915, 5280, 1082, 7606, 616, 849, 16909, 29225, 269, 1306, 513, 851, 540, 519, 14677, 1460, 2870, 1007, 5061, 602, 5749, 1406, 2404, 547, 269, 11671, 335, 15802, 2126, 1095, 18587, 616, 31601, 23798, 2963, 3490, 1382, 6462, 543, 24802, 10063, 24862, 269, 4595, 621, 779, 711, 3077, 1154, 593, 3135, 729, 13473, 547, 2932, 513, 570, 13967, 5868, 543, 2126, 540, 5046, 268, 866, 269, 2052, 4457, 4915, 543, 711, 2016, 2027, 16185, 12191, 3330, 570, 13967, 2115, 547, 581, 3144, 609, 1416, 269, 19833, 543, 24016, 31749, 23388, 540, 570, 13967, 607, 519, 5216, 3741, 540, 2257, 269, 476, 272, 268, 274, 600, 6797, 519, 6797, 779, 2990, 538, 3119, 1134, 1373, 1416, 1062, 538, 29990, 543, 7864, 13943, 2427, 2360, 269, 4813, 1637, 32301, 543, 8047, 4336, 5663, 3646, 547, 32543, 28558, 873, 883, 519, 24118, 1062, 269, 13690, 7622, 543, 28530, 3676, 19017, 538, 3232, 1272, 2504, 543, 2564, 2852, 1053, 563, 4322, 7391, 6385, 10704, 593, 2409, 585, 4152, 741, 2564, 6436, 610, 2853, 269, 16480, 11287, 9952, 2757, 9439, 6340, 609, 1142, 824, 543, 621, 5631, 3091, 623, 294, 2564, 269, 12344, 4457, 543, 3979, 5061, 835, 568, 2356, 2838, 547, 2226, 621, 2922, 269, 12465, 4915, 519, 1699, 2013, 972, 1223, 849, 581, 606, 3773, 7156, 676, 519, 1283, 540, 519, 1554, 269, 769, 476, 1001, 272, 621, 779, 849, 6273, 676, 519, 1249, 602, 621, 1522, 723, 521, 11170, 1782, 30303, 10543, 269, 898, 779, 1271, 547, 1294, 952, 16909, 25584, 616, 5168, 2685, 13042, 1767, 519, 1699, 269, 570, 9582, 5627, 2960, 3249, 2472, 723, 519, 1761, 547, 13468, 1896, 22405, 543, 2960, 22074, 971, 269, 4813, 1637, 585, 6074, 3676, 543, 4713, 723, 849, 11506, 676, 476, 10204, 1247, 7972, 269, 9282, 594, 1294, 621, 9619, 2686, 543, 5289, 4713, 6941, 7754, 345, 1241, 328, 865, 950, 269, 898, 12034, 519, 1271, 3364, 547, 1978, 2934, 899, 5289, 5626, 543, 1978, 2960, 3676, 269, 4033, 5420, 6404, 609, 2798, 540, 606, 4299, 1880, 1268, 10169, 982, 3621, 1382, 563, 24066, 10663, 2550, 6220, 519, 1382, 269, 674, 10133, 543, 27057, 15445, 15503, 540, 2257, 2861, 6140, 4915, 543, 2760, 2154, 2550, 547, 269, 7427, 547, 7866, 4791, 5061, 543, 8790, 14037, 710, 616, 1031, 547, 5884, 856, 540, 3676, 269, 1280, 1808, 10626, 29476, 585, 4550, 2914, 8667, 548, 543, 4550, 1673, 1046, 880, 10580, 25584, 616, 1373, 7550, 269, 24953, 29412, 17615, 543, 9096, 2472, 269, 1879, 789, 616, 21230, 513, 4979, 789, 3274, 4309, 22591, 610, 918, 800, 334, 2067, 5061, 269, 9524, 2922, 5683, 543, 2500, 570, 290, 6573, 1983, 1369, 513, 4791, 4693, 540, 22591, 269, 3600, 17815, 814, 1044, 1031, 607, 3646, 616, 18284, 1259, 547, 3343, 856, 2409, 547, 4308, 609, 7839, 14026, 269, 476, 272, 2929, 7972, 12422, 616, 1813, 711, 9003, 1705, 594, 973, 10967, 622, 6385, 269, 4892, 945, 2461, 1152, 513, 2601, 269, 7756, 7067, 2853, 538, 1931, 547, 3801, 547, 9787, 1945, 607, 519, 2601, 269, 19549, 717, 6311, 300, 1058, 3715, 513, 2518, 23789, 540, 2757, 4915, 4188, 547, 519, 6639, 7835, 538, 269, 1323, 3236, 540, 6671, 4457, 543, 5375, 5061, 568, 811, 2500, 982, 2757, 11955, 563, 291, 558, 4382, 8677, 610, 676, 7682, 532, 519, 4644, 540, 6671, 2067, 11955, 519, 945, 3081, 269, 5808, 543, 568, 519, 9025, 6381, 3987, 2860, 1928, 7245, 543, 1413, 693, 3782, 689, 2110, 3856, 21071, 269, 12830, 569, 543, 5230, 8407, 3006, 2386, 15629, 2409, 616, 856, 540, 8669, 1465, 2175, 269, 1261, 15653, 513, 7662, 676, 513, 2386, 8669, 1465, 543, 2061, 543, 1521, 4576, 799, 568, 13881, 4195, 269, 28801, 779, 2067, 16185, 543, 1317, 519, 29588, 779, 5779, 543, 9600, 547, 4308, 609, 22521, 26253, 269, 12824, 3366, 676, 519, 4143, 2229, 8128, 547, 7979, 1177, 519, 4616, 540, 2067, 6646, 269, 3776, 8128, 814, 5462, 547, 1020, 811, 25191, 3797, 585, 513, 1804, 26430, 269, 12465, 1376, 7390, 1218, 4217, 519, 26430, 7207, 610, 875, 547, 5965, 707, 1378, 269, 19415, 547, 519, 2247, 971, 513, 12021, 2518, 1560, 585, 6379, 609, 269, 5269, 519, 1847, 602, 17275, 513, 2067, 543, 1522, 581, 4330, 607, 4457, 269, 1284, 8947, 519, 10645, 6454, 2557, 540, 476, 271, 269, 16573, 602, 786, 1118, 519, 1847, 269, 0, 306, 1539, 13926, 7502, 8985, 630, 10193, 1634, 607, 6406, 9318, 7502, 8985, 264, 568, 519, 2887, 540, 513, 1950, 1480, 2486, 6353, 676, 519, 2530, 540, 2686, 3961, 543, 540, 14227, 6988, 267, 519, 31774, 540, 2229, 267, 543, 519, 4473, 540, 5208, 269, 25792, 3123, 540, 513, 6848, 12900, 1331, 2067, 31685, 267, 2112, 267, 11641, 559, 775, 267, 26380, 267, 2551, 7771, 267, 543, 2527, 9194, 269, 589, 25540, 2486, 949, 556, 3200, 547, 513, 811, 18642, 1533, 267, 581, 12842, 883, 513, 6793, 2486, 267, 610, 4625, 14897, 563, 309, 7398, 1302, 782, 12977, 723, 11124, 971, 513, 12556, 267, 7488, 540, 741, 2450, 610, 6988, 267, 855, 930, 540, 873, 2663, 2847, 1882, 543, 9927, 267, 971, 607, 3624, 267, 3127, 267, 543, 5527, 269, 1717, 267, 1866, 2760, 16626, 267, 971, 607, 519, 5375, 543, 8109, 4936, 5927, 2231, 267, 519, 2904, 534, 10340, 267, 543, 519, 14914, 6816, 10340, 269, 5081, 13926, 12900, 568, 3622, 2656, 855, 10355, 23589, 269, 1717, 267, 930, 2665, 4125, 711, 513, 12900, 855, 1152, 513, 16795, 535, 8172, 2476, 267, 971, 607, 519, 3703, 7276, 2094, 476, 4489, 279, 563, 514, 968, 306, 1539, 13926, 12900, 6100, 9504, 269, 8525, 729, 2063, 12995, 593, 476, 1839, 5412, 476, 1708, 272, 267, 693, 476, 866, 281, 876, 630, 7473, 290, 1040, 6423, 1934, 563, 288, 14351, 27048, 2861, 9111, 20576, 1572, 18496, 11686, 781, 7368, 6285, 593, 519, 14496, 540, 519, 476, 1708, 271, 9550, 2164, 513, 2048, 18856, 7432, 1448, 685, 602, 2048, 8974, 332, 1441, 4909, 3972, 538, 519, 21146, 1184, 20371, 763, 5729, 519, 2475, 31267, 454, 17686, 8985, 18001, 24522, 454, 3528, 667, 2466, 787, 2107, 21754, 593, 11833, 2107, 21754, 593, 5412, 476, 2641, 267, 476, 1708, 272, 693, 476, 5400, 281, 3374, 269, 6423, 1934, 563, 296, 723, 1044, 4974, 519, 8521, 5765, 12900, 540, 519, 7330, 585, 476, 1839, 1296, 543, 13629, 2835, 543, 4930, 593, 713, 1641, 585, 519, 2063, 476, 1428, 267, 609, 1434, 2164, 281, 595, 6717, 303, 476, 273, 269, 271, 568, 3384, 3833, 23182, 269, 634, 476, 1789, 4458, 1065, 4471, 557, 799, 519, 2475, 729, 11292, 7064, 547, 519, 12900, 540, 519, 28268, 814, 1631, 1163, 1600, 267, 1169, 4674, 693, 11440, 7269, 2094, 1287, 630, 17682, 12174, 6017, 267, 12925, 267, 16850, 267, 8644, 5984, 543, 519, 834, 24175, 8336, 12966, 257, 540, 8109, 2342, 264, 814, 1044, 513, 2698, 5821, 269, 11531, 513, 6450, 1941, 6576, 267, 20483, 676, 1454, 540, 519, 1964, 540, 20195, 14901, 267, 568, 1631, 7432, 519, 7515, 543, 19280, 519, 2475, 1472, 538, 9985, 3768, 328, 680, 11703, 2474, 269, 1656, 1631, 713, 281, 22526, 4826, 540, 17459, 5842, 17630, 5063, 7902, 593, 23711, 547, 2491, 602, 519, 2475, 568, 1631, 538, 513, 7997, 540, 1164, 1981, 585, 2797, 5208, 543, 3540, 2112, 563, 4517, 1018, 713, 1797, 568, 602, 519, 2475, 814, 6368, 6913, 11192, 7502, 8985, 16721, 1563, 1145, 269, 2913, 721, 1413, 883, 519, 3877, 540, 713, 563, 289, 16808, 4673, 814, 6594, 2797, 16132, 585, 476, 1789, 1296, 267, 1034, 5063, 607, 851, 540, 513, 31835, 4305, 3196, 630, 6518, 814, 11292, 1200, 1569, 547, 14449, 971, 607, 519, 968, 21691, 640, 892, 10471, 267, 799, 519, 1964, 540, 721, 1152, 3006, 1205, 547, 5873, 827, 1040, 4173, 813, 26150, 568, 711, 1759, 593, 930, 12705, 2065, 2631, 540, 3662, 14326, 855, 593, 1808, 14573, 15568, 676, 7311, 873, 547, 20833, 18633, 2477, 1472, 519, 1158 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7125, 585, 1022, 824, 1826, 540, 968, 29323, 566, 892, 540, 519, 1079, 2238, 269, 5822, 267, 519, 8360, 968, 335, 32123, 21520, 22993, 538, 1981, 4879, 892, 630, 6518, 616, 1767, 547, 581, 1114, 538, 2186, 689, 1346, 3238, 538, 1981, 2359, 264, 2798, 547, 835, 540, 519, 1034, 1271, 4030, 540, 519, 12233, 269, 769, 1880, 267, 519, 12233, 6444, 602, 3592, 1100, 1981, 4879, 666, 581, 6192, 8259, 3621, 1344, 630, 11907, 543, 1702, 264, 568, 29979, 609, 10054, 602, 723, 711, 1044, 13006, 538, 6935, 547, 519, 1880, 1981, 4879, 693, 1688, 267, 4352, 789, 723, 4440, 1044, 6462, 676, 8101, 2963, 454, 8016, 305, 585, 2985, 476, 3953, 454, 16631, 543, 5463, 2888, 281, 5917, 3496, 11485, 10495, 610, 3069, 585, 519, 2489, 2013, 269, 277, 634, 1579, 11732, 1806, 540, 971, 10054, 1644, 547, 4220, 15054, 676, 3114, 17219, 6161, 519, 3337, 540, 9570, 268, 24978, 14258, 538, 519, 3148, 540, 1360, 1970, 13066, 543, 519, 10083, 547, 3425, 540, 1585, 17219, 6114, 4767, 538, 1164, 1673, 846, 3662, 6901, 282, 10054, 3823, 891, 543, 1082, 824, 3344, 540, 519, 1239, 1031, 585, 1981, 4879, 616, 2556, 547, 1683, 1981, 9946, 3730, 1981, 1915, 3074, 1759, 593, 5812, 4485, 269, 634, 4414, 3883, 12233, 6444, 602, 585, 513, 2016, 25107, 5057, 540, 1022, 540, 519, 3268, 540, 513, 1981, 4879, 585, 799, 606, 13429, 568, 2556, 267, 1896, 23963, 26363, 10054, 1522, 581, 2139, 269, 634, 12233, 1031, 519, 8360, 968, 8882, 2397, 3681, 892, 547, 4766, 519, 5044, 540, 7399, 269, 1677, 3142, 1931, 543, 11007, 547, 1981, 10526, 5342, 676, 519, 5313, 2229, 543, 547, 7413, 2013, 8386, 30924, 6354, 2827, 540, 1981, 12431, 20156, 4093, 267, 519, 12233, 5227, 519, 1646, 540, 1808, 968, 8882, 2397, 4808, 31865, 891, 941, 547, 2270, 968, 534, 8763, 3948, 540, 513, 24441, 3903, 1851, 4244, 23221, 3681, 892, 630, 301, 13612, 476, 2735, 274, 267, 533, 269, 476, 275, 264, 630, 5408, 13340, 476, 273, 268, 272, 1040, 4935, 267, 8041, 1058, 1491, 3268, 547, 4766, 267, 538, 8763, 4808, 267, 519, 2930, 4485, 1031, 547, 2932, 1981, 10526, 267, 543, 891, 4808, 1058, 1331, 20487, 540, 519, 10054, 630, 10175, 267, 538, 930, 2665, 267, 3631, 264, 602, 1131, 581, 9846, 1031, 547, 2721, 31921, 538, 782, 519, 25107, 3334, 540, 519, 1981, 12431, 20156, 1184, 1141, 789, 616, 2877, 269, 5606, 2397, 3681, 723, 2097, 547, 581, 1572, 9949, 3681, 267, 543, 519, 31921, 5697, 585, 1981, 10526, 723, 2097, 547, 581, 1572, 9949, 338, 269, 634, 1646, 543, 5812, 946, 540, 2930, 4808, 585, 1981, 4879, 267, 609, 519, 20487, 540, 782, 519, 2556, 9949, 338, 267, 941, 2938, 676, 519, 4414, 3883, 12233, 607, 2556, 547, 2057, 519, 12250, 9668, 540, 3621, 4879, 689, 3609, 1646, 543, 6388, 1247, 10893, 20025, 543, 3006, 15865, 3609, 7506, 593, 519, 1981, 12431, 20156, 1184, 269, 1306, 7074, 2663, 538, 713, 3184, 267, 930, 13915, 540, 519, 4414, 3883, 723, 6659, 519, 6161, 602, 519, 12233, 779, 862, 754, 762, 4674, 547, 2057, 968, 514, 14363, 7506, 892, 666, 11593, 581, 3144, 547, 1611, 968, 7224, 3310, 892, 689, 1981, 9946, 543, 824, 8639, 269, 2290, 3606, 4183, 540, 519, 4414, 3883, 779, 7840, 12217, 593, 519, 1699, 12233, 779, 4305, 269, 4935, 267, 607, 851, 540, 519, 3948, 540, 24805, 566, 476, 277, 267, 799, 4145, 519, 7355, 585, 3730, 1981, 12431, 20156, 4808, 267, 666, 581, 1336, 519, 1739, 630, 301, 13612, 476, 2735, 274, 267, 533, 269, 476, 13679, 2567, 21253, 2225, 634, 12233, 17611, 11817, 8465, 4808, 269, 15519, 573, 4808, 267, 799, 11863, 1100, 8390, 267, 1522, 840, 2850, 519, 7156, 540, 4143, 3621, 1344, 15116, 547, 513, 1880, 3114, 543, 3976, 3196, 2708, 832, 547, 946, 23221, 3681, 602, 616, 711, 3617, 538, 513, 2016, 2013, 269, 4746, 267, 14461, 4808, 1522, 23626, 519, 4797, 946, 540, 2035, 602, 1831, 28572, 609, 1007, 3621, 7835, 269, 14066, 12415, 540, 519, 3621, 2146, 1131, 17216, 1843, 547, 971, 4808, 607, 22424, 26702, 609, 519, 946, 540, 519, 1655, 3621, 10385, 585, 3609, 3664, 269, 21253, 2225, 666, 581, 5189, 676, 519, 25465, 540, 9949, 3681, 269, 634, 2708, 528, 1131, 581, 25009, 547, 946, 513, 11280, 630, 29239, 264, 4781, 8259, 1808, 3621, 2963, 6700, 6382, 269, 634, 4808, 1131, 3976, 11863, 17756, 547, 519, 2489, 2013, 267, 607, 1279, 607, 1142, 9868, 1223, 581, 20582, 23963, 269, 6270, 1175, 5874, 1131, 581, 12649, 676, 519, 1414, 268, 476, 277, 3143, 3621, 1702, 568, 1510, 10462, 267, 855, 621, 568, 3622, 1641, 547, 12170, 19027, 282, 950, 519, 12170, 2963, 568, 11215, 543, 1100, 14669, 2963, 666, 581, 1336, 267, 12319, 568, 1767, 547, 723, 1044, 3964, 267, 693, 2547, 17895, 8271, 269, 634, 10054, 2877, 547, 2347, 1981, 10526, 616, 3622, 1134, 6462, 585, 519, 4143, 1305, 540, 2250, 10526, 282, 2705, 267, 538, 1022, 1808, 2013, 621, 786, 1419, 581, 2352, 267, 952, 711, 7543, 267, 547, 13182, 10686, 1227, 602, 513, 2016, 13429, 849, 6585, 585, 519, 6219, 693, 3390, 563, 8016, 305, 585, 2985, 476, 3451, 454, 16631, 543, 5463, 2888, 281, 5917, 3496, 11485, 10495, 21398, 311, 476, 273, 268, 272, 10837, 4204, 320, 11485, 5025, 1087, 20156, 13832, 476, 2735, 277, 13832, 585, 595, 32555, 4094, 11485, 10495, 630, 292, 5183, 476, 2735, 277, 320, 264, 13832, 585, 2657, 10495, 540, 12246, 1051, 25833, 24768, 1218, 630, 7906, 12658, 269, 3204, 269, 476, 22430, 2764, 3738, 13832, 585, 23688, 10402, 30008, 11485, 10495, 630, 292, 5183, 476, 2735, 277, 321, 264, 13832, 585, 6480, 26305, 1401, 1842, 999, 630, 7906, 12658, 269, 3204, 269, 476, 22430, 5655, 3738, 13832, 585, 2657, 10495, 540, 11906, 631, 4869, 999, 630, 292, 5183, 476, 2735, 277, 322, 264, 476, 1960, 272, 25833, 24768, 640, 11485, 10495, 630, 516, 14876, 543, 8242, 264, 630, 292, 5183, 476, 1960, 272, 264, 476, 1960, 273, 13832, 585, 22452, 10495, 630, 292, 5183, 476, 1960, 273, 320, 264, 476, 1960, 277, 13832, 585, 3115, 8793, 24768, 640, 11485, 10495, 630, 292, 5183, 476, 1960, 277, 320, 264, 476, 1960, 279, 13832, 585, 26954, 11485, 10495, 630, 292, 5183, 476, 1960, 279, 320, 264, 13832, 585, 11671, 1729, 13877, 640, 11485, 10495, 630, 292, 5183, 476, 1960, 279, 321, 264, 476, 1220, 271, 4675, 11915, 30334, 585, 2657, 11485, 10495, 540, 11906, 631, 4869, 999, 630, 292, 5183, 476, 1220, 271, 320, 264, 476, 1220, 276, 13832, 585, 595, 32555, 4094, 11485, 10495, 543, 26929, 531, 30334, 585, 30487, 12246, 1061, 2225, 689, 7216, 21509, 22452, 547, 595, 32555, 11077, 630, 292, 5183, 476, 1220, 276, 320, 14720, 264, 1452, 4808, 267, 799, 616, 5812, 609, 4414, 3883, 7840, 630, 301, 13612, 476, 2735, 274, 267, 533, 269, 476, 278, 1070, 968, 560, 4450, 519, 7664, 540, 3621, 543, 2930, 1344, 4143, 547, 519, 4879, 892, 543, 968, 5417, 816, 782, 2609, 540, 1981, 4879, 267, 855, 1450, 8112, 547, 2015, 2189, 3621, 2963, 538, 1880, 8320, 1848, 3962, 23988, 568, 513, 3818, 20204, 1788, 2919, 676, 1617, 1470, 742, 823, 6887, 7768, 540, 3744, 538, 16501, 20682, 267, 7740, 267, 1982, 13646, 267, 543, 6237, 13646, 269, 30633, 4808, 616, 9263, 24595, 538, 1930, 1857, 11401, 543, 3370, 585, 6085, 538, 519, 8549, 19193, 269, 769, 2489, 267, 1142, 23988, 5205, 519, 476, 2735, 274, 4414, 3883, 17565, 267, 3246, 5583, 593, 519, 946, 543, 7664, 540, 1344, 538, 1142, 2361, 540, 2079, 267, 1519, 519, 1909, 540, 9949, 338, 543, 10054, 543, 4485, 547, 24604, 543, 1981, 18572, 269, 2368, 4808, 616, 10483, 676, 24045, 5359, 593, 2027, 3584, 267, 585, 1383, 267, 968, 10112, 31757, 12246, 1061, 2225, 689, 7216, 3734, 22452, 547, 595, 32555, 11077, 892, 630, 292, 5183, 476, 1220, 276, 321, 264, 543, 968, 10817, 4575, 14362, 585, 22757, 30408, 5811, 892, 630, 292, 5183, 476, 1960, 278, 320, 1040, 513, 292, 5183, 779, 23988, 5399, 2882, 1082, 824, 5583, 6054, 543, 4507, 267, 1519, 1346, 1808, 547, 1367, 3292, 630, 5408, 267, 585, 1383, 267, 23959, 595, 268, 272, 543, 667, 268, 272, 543, 8100, 1040, 1303, 881, 2689, 8440, 543, 676, 519, 1857, 896, 5773, 4330, 1657, 269, 13832, 1223, 7443, 2406, 5031, 5396, 18460, 5266, 4028, 3621, 1646, 630, 1721, 1383, 267, 519, 946, 540, 10894, 1239, 585, 954, 14588, 2886, 16198, 264, 543, 1022, 824, 3334, 538, 799, 17756, 547, 1880, 9949, 3681, 941, 2693, 547, 8451, 269, 1358, 1058, 849, 3801, 547, 1459, 7355, 585, 10442, 2436, 606, 9868, 568, 20582, 269, 1306, 786, 581, 10423, 2429, 713, 1867, 267, 621, 814, 9863, 2352, 547, 3035, 3621, 13618, 593, 21520, 3823, 519, 6631, 2329, 540, 3621, 2963, 547, 17854, 267, 538, 1808, 2665, 267, 8977, 999, 689, 835, 610, 811, 9949, 338, 269, 2290, 540, 519, 6859, 540, 519, 1459, 12233, 779, 960, 1522, 581, 2938, 607, 8159, 2436, 476, 1839, 1296, 540, 3621, 1382, 543, 540, 14046, 3206, 827, 519, 2932, 540, 1981, 10526, 2488, 1007, 4030, 883, 2436, 972, 1522, 581, 1732, 2081, 540, 16042, 519, 24604, 602, 2285, 4473, 547, 519, 991, 585, 9949, 338, 563, 8016, 305, 585, 2985, 476, 4097, 454, 16631, 543, 5463, 2888, 281, 5917, 3496, 11485, 10495, 13536, 2817, 3194, 7027, 5525, 715, 13612, 630, 1960, 274, 320, 264, 23647, 519, 5610, 540, 8733, 1981, 4879, 883, 519, 476, 2735, 274, 4414, 3883, 5943, 269, 634, 5943, 585, 1981, 4879, 543, 922, 2185, 9912, 25107, 1184, 941, 7550, 543, 15469, 538, 519, 2817, 3194, 7027, 779, 3163, 543, 7225, 8540, 538, 11485, 10495, 630, 301, 13612, 476, 1960, 275, 264, 543, 4197, 11485, 281, 769, 14127, 5463, 2888, 538, 513, 14891, 5980, 630, 301, 13612, 476, 1960, 277, 1040, 11569, 267, 519, 5943, 814, 1044, 4922, 7550, 538, 824, 4274, 2090, 540, 1981, 4879, 630, 5408, 623, 6717, 305, 2752, 300, 476, 1960, 278, 543, 8100, 11855, 972, 514, 264, 543, 814, 1044, 7550, 3544, 519, 2136, 2276, 630, 514, 519, 3864, 5742, 543, 519, 2622, 2657, 9257, 264, 630, 5408, 7612, 476, 273, 268, 273, 1040, 5047, 267, 607, 9431, 543, 1857, 268, 8234, 5238, 723, 1185, 547, 3142, 513, 3152, 4110, 540, 3621, 2079, 543, 11007, 547, 1072, 6937, 15054, 676, 15451, 13596, 630, 303, 1046, 514, 476, 1220, 278, 1070, 7050, 8770, 703, 1389, 630, 296, 6865, 476, 1960, 278, 267, 476, 1960, 279, 267, 476, 1220, 274, 282, 14959, 476, 1220, 277, 1070, 543, 824, 2825, 21500, 267, 789, 723, 1336, 519, 4414, 3883, 5943, 1312, 23963, 3617, 543, 3730, 269, 2290, 3606, 6249, 3823, 519, 1981, 12431, 20156, 1184, 568, 2016, 1390, 3007, 676, 519, 2817, 3194, 7027, 538, 4197, 11485, 630, 301, 13612, 476, 1960, 277, 267, 533, 269, 476, 277, 2567, 634, 25107, 1673, 601, 9200, 894, 1184, 3056, 547, 513, 1981, 18572, 1058, 1331, 2038, 543, 8763, 3007, 547, 1966, 19862, 282, 6041, 540, 519, 8552, 540, 5461, 543, 16658, 13543, 476, 273, 268, 273, 634, 2622, 2657, 9257, 779, 5943, 585, 7471, 1072, 543, 3235, 11043, 1981, 4879, 269, 10691, 292, 281, 22955, 476, 273, 268, 272, 543, 476, 273, 268, 273, 1397, 1114, 14906, 1431, 543, 9687, 900, 874, 1162, 607, 547, 519, 2596, 2609, 540, 519, 4414, 3883, 17565, 269, 11905, 281, 590, 17458, 1696, 620, 269, 476, 1220, 272, 563, 8016, 305, 585, 2985, 476, 3374, 454, 16631, 543, 5463, 2888, 281, 5917, 3496, 11485, 10495, 4299, 6105, 693, 713, 2038, 3942, 568, 16122, 269, 634, 25107, 1673, 601, 9200, 894, 1184, 1058, 581, 8994, 543, 25276, 269, 5811, 543, 18064, 3130, 616, 14911, 543, 1590, 581, 7471, 2429, 519, 1184, 3056, 547, 1981, 18572, 281, 18064, 3130, 14604, 2079, 267, 2079, 28279, 18064, 3130, 267, 543, 519, 1184, 2640, 689, 5955, 1063, 519, 1079, 269, 2334, 16252, 2488, 8356, 766, 547, 519, 4414, 3883, 779, 1289, 585, 968, 29323, 566, 892, 540, 4879, 543, 2359, 547, 7520, 519, 18678, 3804, 540, 1981, 4879, 281, 547, 1683, 519, 3621, 4493, 585, 1857, 268, 8234, 543, 9431, 3664, 269, 1306, 1279, 607, 968, 534, 4519, 543, 18064, 3130, 892, 1281, 711, 4125, 3646, 676, 1981, 9946, 547, 3337, 1981, 12431, 20156, 4093, 547, 6474, 741, 3609, 7375, 267, 855, 2864, 3322, 3646, 547, 2327, 602, 10526, 630, 3369, 7241, 741, 4093, 264, 786, 581, 7850, 585, 3375, 6194 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 14960, 540, 3486, 5026, 2359, 267, 596, 1223, 5732, 1265, 3054, 2324, 609, 9164, 689, 2066, 519, 8608, 256, 5994, 4543, 10891, 513, 13558, 29658, 538, 8478, 267, 610, 23712, 609, 5545, 8387, 547, 11282, 17825, 585, 606, 14232, 2261, 25070, 269, 1215, 3579, 1131, 602, 581, 31841, 8170, 1576, 267, 1100, 835, 3587, 513, 1390, 6205, 16074, 269, 898, 3340, 11428, 267, 2182, 960, 267, 543, 6024, 1565, 269, 1809, 952, 596, 2811, 13730, 827, 5026, 543, 11235, 547, 1118, 513, 3017, 538, 713, 3078, 2361, 267, 1287, 13197, 513, 2619, 538, 7328, 5718, 1522, 1175, 581, 3501, 585, 596, 269, 5808, 6487, 1765, 821, 1554, 267, 596, 1223, 581, 519, 11121, 4137, 13057, 1866, 4724, 1967, 1312, 593, 543, 1055, 519, 4730, 2361, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 1636, 15557, 630, 22913, 540, 3163, 994, 763, 9457, 540, 3163, 538, 22505, 15557, 568, 513, 476, 4375, 29931, 9016, 1982, 602, 22316, 519, 2875, 585, 513, 4876, 538, 519, 7328, 2872, 910, 2436, 621, 779, 2324, 1369, 606, 3872, 9872, 267, 3318, 7328, 2319, 267, 6725, 267, 10618, 267, 1875, 17416, 3906, 267, 3906, 602, 2709, 7328, 9716, 543, 8516, 2533, 267, 2749, 543, 1533, 18883, 13623, 543, 1256, 3486, 7158, 269, 3776, 1982, 786, 1683, 519, 2069, 602, 22316, 596, 585, 513, 4876, 538, 5026, 5718, 563, 1607, 1982, 568, 1759, 593, 519, 3661, 602, 1565, 5012, 547, 1689, 267, 543, 2043, 267, 609, 519, 2702, 547, 1451, 543, 11457, 11179, 267, 786, 581, 3811, 607, 3401, 610, 9946, 538, 519, 6422, 1604, 540, 519, 7328, 2872, 269, 769, 1840, 547, 519, 1445, 1353, 540, 7328, 5718, 267, 519, 6437, 786, 1683, 1053, 609, 606, 538, 3829, 1413, 693, 519, 3309, 543, 9750, 2259, 540, 7328, 5718, 1983, 538, 606, 3486, 2796, 563, 763, 1982, 540, 1353, 9607, 519, 917, 1194, 326, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 2951, 1837, 3184, 782, 827, 19482, 543, 22742, 538, 519, 29268, 781, 3084, 11614, 256, 1411, 1522, 1589, 540, 3695, 2470, 607, 1945, 602, 1152, 4523, 538, 30152, 4025, 899, 10239, 610, 31140, 267, 855, 972, 616, 930, 6909, 2067, 16782, 1318, 1934, 538, 519, 1434, 2025, 29268, 269, 1924, 3640, 707, 11435, 267, 30824, 909, 1346, 25192, 267, 543, 1205, 4712, 547, 3605, 519, 5898, 540, 3013, 781, 2295, 1633, 2439, 5575, 1055, 267, 1577, 781, 2911, 827, 1018, 2306, 519, 29268, 865, 2027, 269, 901, 3148, 568, 2407, 540, 3309, 8916, 267, 1519, 7733, 267, 9299, 597, 625, 267, 8933, 267, 543, 1256, 5070, 546, 17480, 256, 3962, 3084, 6288, 20502, 891, 2189, 2934, 998, 18198, 18162, 543, 13122, 2572, 1141, 3885, 543, 2828, 666, 1921, 609, 2470, 780, 3086, 4952, 2469, 593, 513, 30382, 543, 4947, 2066, 513, 1216, 6420, 31314, 1369, 513, 18932, 4104, 610, 31986, 7320, 971, 607, 13650, 267, 536, 2581, 267, 610, 1256, 24052, 32608, 269, 1452, 2833, 1831, 2009, 950, 649, 2263, 938, 3084, 11614, 269, 670, 10884, 2636, 721, 547, 3500, 1524, 543, 5963, 5660, 519, 1158, 1472, 721, 1107, 835, 1900, 693, 513, 942, 269, 9578, 267, 945, 9327, 1405, 1616, 547, 2909, 326, 547, 741, 15032, 827, 16246, 513, 26009, 1025, 4428, 610, 10188, 998, 513, 12357, 13946, 2496, 290, 2086, 532, 3217, 519, 7045, 547, 1776, 1377, 676, 3246, 513, 4960, 547, 6108, 2298, 942, 896, 519, 6801, 269, 2991, 4259, 909, 512, 757, 543, 2679, 513, 18241, 3786, 13933, 267, 2671, 2984, 267, 887, 770, 22153, 332, 718, 3298, 267, 543, 22401, 2390, 20035, 725, 7206, 519, 3781, 6607, 269, 898, 781, 606, 20605, 1259, 547, 1711, 9434, 8823, 1247, 1565, 3407, 6668, 1983, 780, 6524, 16144, 856, 593, 707, 7552, 267, 3314, 602, 7041, 568, 1883, 269, 2142, 2386, 547, 1382, 1142, 6288, 781, 3652, 267, 4808, 267, 543, 1022, 2556, 14998, 269, 13268, 1898, 3688, 899, 6899, 7802, 267, 19756, 10887, 267, 24429, 267, 17079, 10936, 267, 7899, 540, 1216, 267, 16152, 267, 543, 513, 4786, 610, 22315, 269, 1656, 1810, 1405, 7340, 513, 8254, 547, 7001, 1346, 5863, 8090, 2439, 7661, 267, 2141, 2259, 23680, 3143, 29895, 3741, 1282, 707, 3643, 269, 901, 1797, 18245, 2371, 267, 2831, 267, 543, 824, 8436, 282, 8741, 532, 540, 3653, 5265, 282, 543, 6028, 2067, 3615, 3768, 626, 32328, 269, 1635, 1739, 891, 2241, 3268, 267, 3025, 666, 2972, 519, 9059, 540, 938, 3084, 11614, 585, 5481, 547, 2097, 780, 3383, 267, 616, 596, 9599, 547, 5734, 519, 18162, 543, 1305, 909, 3786, 538, 519, 4190, 11068, 13523, 19069, 286, 2060, 6297, 4058, 543, 15131, 585, 3408, 267, 707, 1985, 1390, 1977, 7045, 19179, 1080, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 9612, 7490, 6445, 856, 713, 2361, 563, 268, 28509, 2659, 4427, 2675, 3628, 454, 268, 12315, 513, 717, 3424, 4427, 2675, 3628, 454, 268, 2549, 2224, 618, 20088, 454, 1692, 547, 4643, 519, 17828, 25676, 547, 17629, 2289, 3930, 21035, 454, 2080, 781, 3388, 596, 991, 547, 917, 827, 9683, 17629, 2289, 3930, 21035, 267, 689, 519, 1655, 26055, 543, 14060, 547, 12119, 2621, 543, 811, 563, 12441, 596, 917, 602, 538, 519, 2295, 540, 11968, 13353, 596, 666, 521, 760, 593, 19643, 2041, 518, 2073, 2097, 3068, 547, 3068, 609, 32049, 17878, 267, 543, 723, 606, 12473, 3460, 609, 32620, 3687, 687, 286, 3143, 9117, 1995, 2838, 563, 26536, 531, 2289, 3930, 21035, 568, 513, 6249, 6288, 899, 1100, 824, 267, 4448, 547, 513, 2324, 7260, 543, 8613, 2504, 2603, 602, 781, 1044, 1472, 2094, 519, 2038, 476, 736, 555, 2540, 269, 634, 4670, 18638, 1101, 3893, 883, 18845, 609, 513, 911, 332, 4663, 538, 476, 3422, 275, 855, 814, 2094, 7960, 543, 6738, 883, 513, 13755, 2378, 728, 6249, 6288, 609, 13858, 26055, 267, 2661, 9913, 267, 15138, 3338, 267, 543, 873, 5597, 24886, 630, 663, 8949, 264, 3536, 563, 763, 6249, 6288, 949, 581, 11741, 3379, 547, 922, 5101, 11076, 24107, 267, 855, 621, 2306, 909, 585, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 10884, 543, 8805, 532, 538, 519, 29268, 781, 2817, 20088, 257, 607, 851, 540, 834, 307, 30728, 1315, 2136, 2276, 1315, 29268, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6637, 476, 272, 281, 4197, 17086, 543, 853, 1738, 4982, 10329, 692, 8702, 547, 938, 3408, 540, 519, 1158, 540, 11707, 256, 1284, 3513, 1376, 609, 930, 2596, 2035, 602, 786, 948, 721, 1174, 875, 3615, 1847, 543, 2611, 1869, 269, 5994, 3843, 547, 3666, 513, 6529, 593, 707, 9416, 269, 1548, 8952, 621, 689, 9991, 286, 634, 2626, 6013, 538, 519, 4229, 9117, 2390, 621, 267, 799, 3142, 721, 547, 938, 1101, 1883, 2856, 281, 3196, 269, 589, 3196, 568, 513, 7903, 610, 7485, 25116, 593, 606, 1843, 602, 666, 1689, 922, 3432, 267, 4287, 267, 3337, 267, 610, 2990, 269, 2913, 781, 1451, 811, 998, 1187, 1806, 2439, 7078, 476, 272, 281, 7591, 3033, 12034, 1177, 454, 288, 19209, 12034, 1177, 5161, 540, 513, 1279, 4604, 7059, 538, 519, 4099, 267, 3850, 1453, 547, 1491, 7140, 2469, 909, 543, 1524, 593, 2901, 1439, 269, 1280, 519, 12034, 1177, 547, 3251, 1377, 267, 519, 12035, 630, 332, 13293, 264, 540, 519, 3214, 991, 547, 581, 3160, 593, 1312, 5011, 269, 1403, 835, 1126, 568, 18219, 982, 519, 824, 267, 789, 666, 3035, 11466, 676, 3001, 6251, 610, 20991, 2476, 689, 519, 3505, 322, 5300, 630, 1492, 4099, 1448, 1040, 901, 16369, 2242, 519, 3845, 1063, 519, 22141, 1448, 543, 519, 4294, 3196, 1107, 849, 1634, 607, 15407, 269, 2052, 596, 1589, 540, 2081, 547, 3666, 519, 12034, 1177, 952, 972, 729, 513, 1713, 2597, 3017, 2496, 3086, 1577, 781, 4685, 883, 519, 1523, 540, 11979, 11466, 267, 1141, 606, 1843, 3788, 19335, 1813, 547, 13326, 4229, 269, 16514, 513, 9395, 549, 701, 3802, 518, 282, 1018, 6087, 873, 547, 1796, 20005, 1247, 21986, 532, 513, 18052, 1510, 9991, 286, 4256, 1967, 12346, 593, 13215, 741, 4099, 540, 8904, 543, 4509, 3666, 1210, 25559, 532, 4229, 780, 7078, 476, 273, 281, 570, 697, 549, 701, 6972, 454, 307, 697, 549, 701, 3802, 619, 946, 513, 1279, 15393, 547, 2333, 6617, 543, 2226, 3666, 269, 1635, 14178, 519, 15393, 23276, 267, 789, 1711, 3606, 4229, 10296, 18746, 593, 1142, 2427, 269, 1452, 15852, 4229, 22599, 856, 1022, 14694, 630, 2515, 1811, 264, 3350, 3361, 676, 5007, 2188, 899, 2842, 31830, 338, 269, 1306, 513, 1267, 267, 519, 9395, 549, 701, 3802, 518, 13978, 10704, 936, 519, 18052, 780, 1103, 5758, 267, 1620, 4229, 543, 11979, 11466, 5036, 519, 5748, 585, 3695, 2417, 3584, 538, 6323, 543, 4702, 269, 29923, 891, 4909, 3741, 2636, 721, 547, 5659, 1950, 1949, 5473, 14604, 267, 959, 1380, 525, 267, 543, 6191, 269, 1924, 10544, 707, 3206, 11503, 543, 1205, 4712, 585, 606, 3078, 3460, 2407, 540, 6602, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1805, 18267, 543, 11707, 540, 2326, 476, 276, 628, 7160, 10519, 269, 2353, 2835, 616, 538, 2312, 5299, 1934, 267, 543, 782, 6119, 616, 5150, 865, 21645, 5855, 827, 621, 269, 898, 568, 6322, 5097, 693, 1647, 24038, 4702, 1053, 269, 1879, 519, 5163, 568, 711, 31587, 267, 535, 31587, 5163, 621, 568, 519, 4090, 950, 519, 1560, 568, 593, 519, 2357, 613, 540, 1793, 6235, 269, 769, 713, 2376, 649, 1683, 513, 3376, 7291, 540, 3872, 1382, 593, 2875, 2093, 827, 4229, 543, 5163, 269, 8281, 2493, 923, 543, 11707, 540, 2326, 476, 276, 628, 7160, 7824, 1433, 7824, 1863, 4647, 3095, 610, 1224, 2228, 1934, 538, 7824, 269, 9182, 267, 538, 713, 1433, 649, 4927, 1118, 513, 1880, 4674, 547, 4766, 875, 1007, 2023, 1014, 6384, 666, 6707, 2272, 585, 513, 2647, 3099, 540, 1114, 3859, 1062, 9259, 269, 4985, 547, 2493, 923, 543, 6384, 552, 9248, 15682, 269, 6465, 923, 543, 11707, 540, 2326, 476, 276, 628, 7160, 676, 24950, 10964, 518, 7824, 4564, 513, 5916, 705, 27554, 4528, 540, 1079, 540, 519, 4589, 1655, 552, 9248, 267, 12077, 11707, 540, 2326, 476, 1015, 628, 7160, 543, 4702, 11707, 269, 1358, 4766, 519, 1894, 327, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 23317, 1315, 6465, 923, 1315, 13368, 525, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 281, 6355, 23113, 18169, 910, 29661, 1222, 630, 29557, 3427, 2020, 16215, 7170, 281, 11137, 540, 1924, 548, 1160, 3064, 564, 832, 4721, 692, 14945, 5331, 596, 4312, 1175, 2813, 1945, 5863, 256, 898, 1223, 581, 4376, 12544, 8949, 10217, 13863, 23739, 11600, 267, 29586, 25231, 7410, 602, 707, 2828, 2648, 267, 610, 1256, 4274, 5796, 593, 3381, 3756, 269, 4658, 1376, 6998, 1141, 789, 666, 1205, 811, 540, 1018, 596, 1500, 269, 1358, 2811 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 618, 543, 513, 25442, 2295, 269, 10271, 945, 4497, 538, 891, 2853, 798, 865, 609, 519, 1620, 602, 2696, 781, 786, 568, 14063, 267, 543, 3571, 1379, 568, 1031, 585, 3571, 5301, 269, 634, 1445, 568, 593, 26936, 609, 2696, 781, 1544, 2864, 982, 5275, 547, 13861, 610, 1852, 5289, 4229, 585, 2123, 2744, 563, 1103, 5758, 267, 11006, 1629, 976, 543, 3138, 3151, 519, 1379, 540, 2696, 616, 2853, 1369, 5289, 13137, 1141, 21071, 946, 11755, 543, 5289, 6392, 547, 6615, 519, 3310, 540, 9409, 4229, 543, 1045, 5803, 2696, 781, 10143, 6304, 543, 25736, 269, 1452, 2035, 616, 7184, 12082, 538, 519, 4168, 5132, 267, 10771, 519, 6392, 540, 21071, 998, 4906, 2441, 543, 519, 6284, 540, 2696, 781, 3970, 1652, 1379, 547, 3142, 827, 7004, 267, 7067, 267, 543, 11808, 563, 13750, 618, 540, 18321, 454, 2171, 3494, 519, 6426, 267, 519, 476, 5780, 28138, 2835, 267, 547, 581, 519, 6273, 543, 1152, 1102, 718, 1043, 6478, 540, 2696, 563, 2171, 3494, 602, 972, 568, 2290, 2696, 630, 12507, 6139, 1143, 1070, 552, 27238, 2291, 550, 538, 1614, 7606, 281, 2696, 519, 12429, 267, 2696, 519, 12312, 267, 2696, 519, 10513, 13336, 563, 2171, 3494, 2696, 2813, 14088, 630, 332, 1446, 264, 543, 18832, 630, 325, 24580, 264, 538, 1010, 1378, 3239, 269, 1635, 27136, 17171, 267, 789, 8593, 689, 741, 5609, 1652, 1533, 269, 901, 2887, 32168, 539, 8103, 883, 513, 1533, 540, 5609, 543, 2669, 267, 543, 713, 568, 4547, 2390, 782, 8103, 269, 3245, 713, 2783, 649, 666, 581, 10710, 1152, 676, 519, 11419, 540, 2696, 267, 998, 5132, 267, 593, 519, 4493, 540, 519, 960, 540, 2441, 267, 543, 676, 519, 8116, 540, 519, 10513, 13336, 563, 2171, 3494, 538, 519, 20424, 4332, 540, 4906, 269, 901, 2680, 5949, 835, 942, 543, 729, 513, 16750, 27803, 676, 799, 4906, 2968, 17145, 563, 2171, 3494, 4906, 267, 519, 2034, 1268, 547, 519, 27076, 267, 568, 2696, 945, 2968, 17145, 547, 2347, 519, 693, 11238, 960, 593, 519, 3444, 693, 2836, 341, 776, 563, 2171, 3494, 602, 1065, 550, 766, 540, 5609, 543, 5132, 538, 519, 693, 11238, 960, 540, 4906, 593, 519, 3444, 568, 519, 1152, 1259, 547, 20778, 269, 1703, 568, 1100, 824, 1259, 547, 581, 10710, 689, 5609, 543, 519, 15163, 540, 5609, 269, 901, 568, 20778, 676, 11419, 4805, 563, 2171, 3494, 538, 519, 2168, 1532, 617, 1176, 24446, 540, 4906, 267, 543, 1010, 2168, 2132, 585, 1010, 5939, 630, 763, 10610, 540, 2441, 994, 2171, 3494, 538, 29080, 676, 1216, 543, 519, 29080, 540, 519, 10513, 13336, 269, 634, 10513, 13336, 11226, 538, 519, 20344, 267, 18813, 2305, 267, 543, 1350, 528, 2305, 540, 519, 1825, 591, 563, 2171, 3494, 538, 513, 13140, 1141, 1346, 945, 723, 1044, 28099, 14855, 676, 4906, 786, 1491, 18163, 15335, 282, 11338, 267, 649, 3494, 538, 513, 22946, 1141, 1346, 945, 723, 15653, 4906, 786, 1491, 18163, 15335, 269, 0, 763, 10055, 540, 20520, 454, 272, 1103, 519, 4098, 2696, 2813, 519, 30723, 543, 519, 3618, 269, 258, 272, 281, 272, 2107, 769, 519, 4098, 950, 2696, 2813, 519, 30723, 543, 519, 3618, 267, 1547, 1547, 1547, 2107, 1879, 2696, 3459, 547, 1711, 519, 30723, 543, 519, 3618, 267, 1547, 1547, 1547, 476, 273, 763, 3618, 729, 1106, 1652, 543, 8900, 267, 543, 14334, 4988, 519, 2620, 7297, 269, 1656, 519, 13336, 540, 2696, 729, 29964, 532, 936, 519, 2627, 540, 519, 7297, 563, 274, 10190, 2696, 1767, 267, 968, 4131, 972, 581, 1769, 2223, 543, 972, 729, 1769, 269, 476, 275, 4517, 2696, 4718, 602, 519, 1769, 729, 1434, 269, 3973, 646, 9674, 519, 1769, 689, 519, 14334, 269, 476, 276, 18661, 1572, 519, 1769, 968, 1485, 892, 543, 519, 14334, 968, 9519, 3034, 4517, 10543, 5293, 543, 6640, 3357, 267, 16287, 519, 1101, 1554, 563, 277, 10190, 2696, 1767, 267, 968, 4131, 972, 581, 513, 2230, 1063, 519, 7297, 267, 547, 5094, 519, 7297, 540, 519, 30723, 689, 519, 7297, 540, 519, 3618, 1848, 476, 278, 4517, 602, 568, 1018, 5949, 269, 2696, 1500, 713, 2230, 547, 5094, 519, 7297, 540, 519, 3618, 689, 519, 7297, 540, 519, 30723, 269, 476, 279, 18661, 1572, 519, 2230, 968, 20391, 3034, 4517, 10543, 5293, 543, 6640, 3357, 267, 16287, 519, 2034, 1554, 563, 280, 10190, 2696, 1767, 267, 968, 4131, 519, 7297, 9944, 519, 6607, 2095, 1927, 883, 835, 1747, 267, 865, 3819, 2666, 949, 2408, 1848, 1656, 602, 568, 1018, 5949, 269, 476, 1015, 18661, 1572, 519, 3819, 2666, 968, 1633, 892, 543, 519, 7297, 968, 572, 553, 1848, 1656, 2696, 4718, 602, 621, 729, 1434, 269, 476, 1556, 10190, 2696, 1767, 267, 968, 4131, 519, 2244, 17708, 339, 609, 10664, 1765, 22336, 4990, 540, 6079, 24481, 2030, 267, 543, 4054, 602, 1332, 6079, 24481, 4829, 269, 1452, 5452, 786, 1287, 3132, 519, 5686, 540, 2371, 543, 4054, 689, 799, 789, 3357, 1848, 1656, 602, 568, 1018, 5949, 269, 476, 1321, 763, 2244, 3812, 10664, 1765, 718, 12204, 540, 6079, 24481, 2371, 267, 543, 4054, 609, 6079, 24481, 4829, 269, 4256, 5452, 3812, 2371, 543, 4054, 540, 519, 1482, 2186, 269, 1656, 2696, 4718, 602, 621, 729, 1434, 563, 1724, 4517, 10543, 5293, 543, 6640, 3357, 267, 16287, 519, 3791, 1554, 563, 1691, 10190, 2696, 1767, 267, 968, 4131, 8279, 2408, 538, 519, 6607, 547, 5094, 519, 1554, 689, 519, 3781, 269, 2913, 873, 581, 4191, 547, 1665, 519, 12405, 267, 2395, 267, 543, 1296, 269, 476, 1428, 4131, 891, 8279, 538, 519, 6607, 19542, 1524, 593, 519, 3618, 1848, 1656, 602, 568, 1018, 5949, 269, 476, 1626, 18661, 1500, 1079, 1390, 8279, 9789, 3677, 835, 547, 1827, 519, 1554, 267, 543, 519, 4130, 835, 547, 1827, 519, 3781, 269, 1261, 849, 1500, 519, 6801, 269, 476, 1704, 18661, 1305, 891, 8279, 538, 519, 6607, 547, 1769, 519, 3618, 267, 476, 1240, 1729, 1827, 519, 1554, 543, 3781, 267, 543, 547, 5094, 519, 1769, 689, 519, 14334, 269, 1656, 2696, 4718, 602, 621, 729, 1434, 563, 866, 4517, 10543, 5293, 543, 6640, 3357, 267, 16287, 519, 8772, 1554, 563, 736, 10190, 2696, 1767, 267, 968, 4131, 519, 7297, 2220, 1301, 609, 3165, 543, 824, 1272, 269, 2913, 519, 22839, 581, 4904, 609, 5017, 540, 1169, 2186, 1848, 476, 2641, 3383, 2696, 2813, 1390, 4262, 7068, 543, 1169, 2713, 3364, 602, 1085, 584, 1845, 543, 2220, 15767, 538, 519, 1216, 267, 543, 1169, 4990, 540, 6177, 1765, 26421, 6721, 15556, 540, 519, 1482, 2186, 269, 1656, 2696, 4718, 602, 621, 729, 1434, 269, 476, 2420, 10190, 2696, 25552, 873, 267, 6031, 267, 968, 6826, 4829, 995, 543, 9062, 269, 2913, 519, 3165, 6445, 519, 15798, 267, 543, 1577, 519, 5017, 9062, 593, 519, 3618, 3034, 2537, 4517, 10543, 5293, 543, 6640, 3357, 267, 16287, 519, 11359, 1554, 563, 2190, 10190, 2696, 1767, 267, 968, 4131, 519, 3618, 3132, 1169, 4990, 540, 3662, 267, 1142, 6721, 15556, 540, 519, 1482, 2186, 1765, 331, 12083, 267, 1507, 2831, 602, 1085, 25744, 2059, 519, 2666, 267, 543, 3552, 2831, 1848, 1656, 602, 568, 1018, 5949, 269, 476, 1839, 18661, 1500, 782, 12204, 540, 3552, 2831, 267, 13184, 267, 543, 1507, 2831, 267, 1142, 2111, 547, 3132, 15556, 540, 519, 1482, 2186, 269, 1656, 2696, 4718, 602, 621, 729, 1434, 563, 2918, 10190, 2696, 1767, 267, 968, 4131, 721, 1118, 1480, 7919, 258, 272, 281, 2918, 320, 2107, 812, 282, 12355, 14509, 740, 600, 269, 538, 938, 3239, 267, 547, 581, 899, 721, 269, 1358, 786, 12081, 936, 519, 3165, 538, 519, 4262, 267, 519, 5017, 538, 519, 6607, 267, 519, 13184, 267, 782, 519, 3552, 2831, 593, 519, 3618, 267, 258, 272, 281, 2918, 321, 1306, 538, 5204, 686, 659, 4528, 282, 12355, 14509, 782, 519, 3618, 269, 543, 519, 1507, 2831, 602, 1085, 25744, 2059, 519, 2666, 3034, 2767, 3383, 2696, 2813, 1480, 7919, 258, 272, 281, 2767, 2107, 519, 812, 282, 12355, 14509, 688, 14194, 600, 269, 538, 1010, 1378, 3239, 563, 1103, 519, 3239, 540, 2696, 646, 2813, 873, 3248, 332, 1446, 543, 4775, 646, 2813, 873, 563, 2764, 10190, 2696, 25552, 873, 543, 1767, 267, 968, 6826, 4829, 995, 543, 9062, 269, 19130, 519, 3618, 543, 1827, 621, 269, 1234, 793, 936, 519, 3165, 538, 519, 4262, 267, 519, 5017, 538, 519, 6607, 267, 543, 782, 519, 2831, 602, 1085, 25744, 2059, 519, 2666, 3034, 3066, 10190, 2696, 1767, 267, 968, 16100, 256, 594, 723, 2016, 596, 1169, 6079, 24481, 2030, 2429, 519, 3618, 543, 782, 519, 4829, 4054, 585, 707, 1426, 269, 476, 1789, 4517, 594, 723, 2016, 1169, 3039, 2030, 607, 1426, 585, 782, 519, 3552, 2831, 267, 519, 5017, 538, 519, 6607, 267, 543, 519, 1507, 2831, 602, 1085, 25744, 2059, 519, 2666, 1765, 22336, 2251, 602, 814, 1272, 1848, 1656, 602, 568, 1018, 5949, 563, 4029, 10190, 2696, 6743, 936, 782, 646, 1185, 1500, 267, 543, 646, 4718, 602, 621, 729, 1360, 1434, 2336, 4517, 10543, 5293, 543, 6640, 3357, 267, 16287, 519, 15795, 1554, 563, 9596, 2859, 6168, 1715, 12389, 22564, 454, 295, 8432, 6426, 267, 1715, 12389, 22564, 10677, 476, 1960, 277, 267, 476, 1220, 275, 267, 476, 1220, 278, 267, 476, 1001, 276, 676, 14977, 526, 1446, 5600, 7690, 563, 2690, 811, 1344, 827, 519, 715, 299, 307, 912, 339, 2317, 281, 853, 269, 4469, 822, 1014, 267, 476, 1911, 563, 272, 268, 1556, 2913, 3389, 685, 333, 8451, 267, 1577, 3618, 2408, 2676, 338, 4660, 519, 31471, 26663, 7083, 912, 763, 3389, 685, 333, 21256, 267, 519, 3618, 2408, 8910, 2676, 520, 1010, 2870, 2262, 563, 273, 774, 1157, 14334, 2156, 10757, 522, 685, 518, 519, 2620, 912, 18661, 1767, 267, 968, 4131, 972, 581, 1769, 281, 7536, 763, 1769, 695, 821, 8521, 609, 32127, 18422, 2676, 663, 14649, 8910, 3504, 3781, 563, 274, 1261, 536, 1228, 519, 12269, 10841, 754, 593, 1164, 3248, 1492, 12269, 10841, 754, 267, 543, 7703, 454, 288, 5349, 685, 787, 14951, 547, 519, 6607, 2676, 663, 10581, 2390, 519, 2011, 563, 275, 634, 5277, 3693, 2630, 454, 13195, 5531, 8910, 676, 1010, 1688, 3248, 763, 12902, 15798, 1927, 2095, 2676, 663, 4734, 519, 4396, 2244, 563, 276, 2060, 11922, 267, 543, 2371, 267, 543, 4829, 995, 4054, 2676, 1492, 1007, 13001, 845, 8910, 8608, 646, 13862, 8910, 2676, 292, 516, 972, 729, 4764, 547, 12196, 519, 3037, 2676, 528, 3141, 547, 3636, 519, 2666, 563, 277, 3973, 1164, 538, 3389, 685, 333, 779, 759, 680, 754, 550, 2895, 454, 515, 726, 659, 8910, 1079, 610, 2125, 540, 1769, 2676, 3891, 1305, 519, 3141, 547, 4341, 519, 1554, 2676, 1492, 7599, 547, 4341, 519, 3781, 563, 278, 8921, 267, 689, 519, 2620, 267, 555, 685, 31471, 26663, 3751, 454, 323, 573, 4105, 7919, 7406, 3248, 293, 578, 3149, 540, 519, 2011, 540, 859, 685, 787, 13617, 2676, 663, 3165, 540, 859, 685, 787, 2012, 563, 279, 1677, 782, 519, 1585, 22266, 11031, 454, 515, 5795, 741, 3304, 9317, 4332, 3248, 4263, 2899, 519, 17794, 543, 519, 21431, 454, 338, 1440, 2426, 689, 519, 31523, 3618, 563, 280, 3973, 267, 8783, 522, 685, 518, 782, 1010, 1568, 2630, 2676, 520, 2063, 729, 14088, 1500, 3248, 14367, 631, 6033, 779, 3239, 12196, 8910, 1010, 9997, 2676, 663, 18710, 13862, 8910, 1010, 2212, 563, 1015, 12876, 538, 555, 685, 31471, 26663, 631, 6033, 779, 3750, 454, 1492, 2898, 5137, 11542, 563, 3891, 2070, 8910, 519, 5958, 646, 1185, 986, 529, 8910, 3248, 20130, 2262, 15749, 322, 8910, 621, 1434, 563, 9596, 2859, 6168, 13677, 5450, 3740, 3474, 7469, 29320, 476, 9965, 272, 454, 5575, 3370, 676, 519, 5783, 540, 10430, 538, 476, 9965, 272, 269, 0, 27269, 267, 7218, 786, 1376, 547, 6336, 8404, 952, 789, 616, 3257, 519, 1482, 23736, 1169, 942, 269, 589, 2123, 26519, 666, 948, 873, 4129, 1518, 741, 23736, 267, 865, 602, 789, 3251, 7722, 543, 3136, 547, 960, 4724, 741, 3853, 563, 23114, 30157, 917, 513, 2603, 827, 3635, 2257, 267, 2623, 1689, 543, 6484, 269, 1358, 666, 849, 4001, 741, 7218, 875, 547, 946, 3937, 543, 875, 547, 1685, 5751, 7157, 563, 6624, 1004, 1589, 602, 4222, 2866, 568, 1945, 596, 798, 1152, 950, 1762, 610, 547, 13557, 909, 267, 855, 621, 779, 1271, 585, 782, 2085, 2516, 543, 8516, 2157, 269, 8617, 4222, 610, 4187, 3635, 2337, 2061, 519, 2067, 2530, 540, 10709, 4887, 2527, 602, 4386, 609, 10172, 630, 4385, 607, 26878 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 825, 1990, 272, 815, 7470, 6745, 337, 21725, 18692, 1038, 10070, 20166, 6113, 1229, 291, 1112, 10857, 784, 3363, 24210, 269, 30584, 263, 13211, 4449, 3546, 20173, 284, 344, 269, 30584, 263, 13211, 4449, 3546, 942, 284, 339, 269, 30584, 3890, 4917, 825, 7682, 5286, 269, 718, 29148, 18750, 271, 267, 1990, 272, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 6637, 476, 280, 281, 9861, 513, 3751, 1107, 634, 3203, 540, 681, 592, 11429, 543, 15557, 692, 5331, 1373, 513, 4622, 256, 1411, 1131, 723, 519, 5539, 540, 3056, 707, 10806, 2509, 13884, 1247, 4180, 602, 707, 1004, 616, 2922, 267, 6126, 267, 543, 1134, 3144, 1416, 540, 269, 1809, 1018, 1281, 621, 5963, 1491, 547, 1831, 513, 1434, 4622, 286, 1215, 666, 835, 6330, 519, 1950, 1158, 540, 23372, 267, 3375, 1818, 267, 543, 4509, 2178, 3347, 609, 824, 6082, 286, 2913, 781, 4685, 883, 713, 4241, 1641, 1927, 2439, 20058, 267, 1577, 781, 1865, 519, 3661, 2497, 2390, 799, 15438, 1222, 26520, 269, 2311, 922, 4295, 267, 1373, 513, 3811, 4622, 12346, 8185, 593, 1614, 2609, 910, 7553, 267, 2601, 267, 543, 20932, 269, 589, 8797, 14610, 6487, 950, 547, 946, 1142, 16023, 20617, 269, 1280, 3236, 267, 2348, 6568, 630, 655, 10899, 1620, 264, 2636, 873, 547, 9305, 1732, 609, 741, 5396, 282, 7744, 6087, 5483, 3664, 267, 6466, 20932, 2337, 15378, 3871, 1141, 1239, 949, 581, 15877, 780, 288, 1713, 2460, 540, 15194, 3322, 11495, 513, 3666, 1063, 1379, 543, 27047, 842, 269, 2755, 1210, 3196, 1522, 3100, 2556, 693, 2053, 267, 3020, 4222, 6013, 538, 16706, 1582, 20820, 543, 11744, 21548, 269, 901, 2982, 15657, 543, 5036, 513, 2318, 1383, 585, 1346, 1472, 873, 269, 2991, 782, 267, 952, 513, 6205, 5526, 688, 7676, 1399, 610, 796, 1952, 25209, 762, 267, 875, 786, 789, 1174, 519, 2115, 543, 6499, 540, 741, 4961, 2496, 298, 902, 1590, 849, 4487, 10188, 1585, 2010, 540, 4205, 971, 607, 23372, 267, 8480, 267, 543, 1857, 6644, 269, 6056, 827, 17009, 1846, 2221, 945, 960, 24091, 547, 1628, 13123, 1063, 1114, 2477, 269, 6684, 267, 10120, 15438, 2877, 547, 6536, 2635, 1894, 609, 15231, 26441, 676, 27300, 13344, 267, 25786, 22888, 1369, 10424, 3885, 267, 610, 27410, 21308, 269, 5047, 267, 5275, 5796, 689, 11967, 14643, 832, 2488, 3309, 5380, 267, 7175, 811, 3102, 4507, 269, 1656, 6368, 267, 5329, 29601, 593, 1857, 18941, 5849, 3401, 3251, 4448, 547, 741, 17069, 864, 779, 13821, 543, 12194, 780, 300, 7394, 6392, 4249, 513, 2629, 1909, 1932, 269, 3807, 899, 27568, 649, 1294, 538, 9413, 267, 1004, 1413, 909, 547, 741, 3401, 609, 25621, 543, 2463, 269, 4475, 267, 2679, 606, 5683, 1062, 1759, 593, 19969, 267, 14619, 267, 543, 5126, 3029, 519, 5127, 13702, 540, 1022, 7123, 7706, 269, 1879, 1004, 3972, 741, 3401, 267, 789, 1745, 5150, 267, 3850, 4708, 543, 13884, 547, 21707, 780, 27609, 532, 2104, 5481, 568, 1776, 1898, 10279, 585, 1022, 16313, 269, 23496, 27402, 540, 7326, 267, 2418, 267, 543, 5389, 23933, 519, 24536, 585, 14182, 781, 1967, 2984, 269, 1635, 18997, 646, 15077, 19100, 267, 513, 4622, 18715, 1010, 9371, 2729, 593, 1279, 1310, 646, 814, 5293, 2476, 780, 15563, 267, 14017, 543, 10279, 1106, 519, 22449, 540, 513, 14762, 10806, 269, 1306, 2938, 2429, 1686, 267, 20247, 5819, 1399, 1419, 5012, 547, 14784, 543, 31774, 269, 4935, 267, 5807, 14017, 1851, 642, 817, 1023, 543, 26110, 18791, 9322, 543, 8992, 6617, 269, 30027, 3585, 267, 8508, 513, 2631, 540, 17185, 24864, 3401, 547, 957, 4075, 28204, 896, 2604, 267, 1256, 950, 1100, 835, 568, 8384, 780, 1103, 3932, 267, 4742, 513, 1390, 4622, 3340, 1454, 811, 982, 1175, 9100, 1746, 513, 13862, 269, 2290, 1590, 1451, 547, 4383, 4664, 267, 3635, 1582, 3146, 14259, 842, 267, 4497, 3927, 609, 1866, 267, 3715, 5837, 13210, 267, 5965, 519, 1985, 5108, 267, 2611, 10121, 267, 543, 4163, 856, 11645, 29367, 269, 1452, 4245, 4019, 3564, 10120, 2053, 282, 2413, 14761, 1223, 4324, 30140, 689, 4974, 891, 3741, 1932, 269, 5457, 267, 5718, 3884, 1405, 8806, 8066, 513, 2990, 282, 621, 781, 11121, 1689, 543, 2208, 1472, 721, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 13022, 12818, 540, 18301, 1222, 281, 27801, 7010, 267, 9576, 11595, 267, 543, 519, 1744, 12686, 540, 5927, 2231, 454, 268, 634, 7690, 540, 18301, 1222, 281, 1323, 4985, 547, 519, 27801, 12856, 454, 268, 20223, 519, 7690, 540, 18301, 1222, 281, 18567, 543, 8191, 885, 454, 268, 634, 3751, 607, 26851, 543, 26064, 281, 26930, 585, 519, 8003, 781, 4270, 5630, 454, 268, 29923, 519, 8682, 281, 634, 3751, 781, 18696, 540, 32313, 267, 17217, 267, 543, 2271, 340, 819, 454, 268, 5295, 543, 10163, 571, 842, 281, 634, 11957, 540, 8682, 4211, 2632, 1503, 543, 9966, 1006, 538, 513, 3751, 454, 268, 634, 5680, 540, 29568, 281, 19484, 24547, 558, 2329, 267, 21835, 267, 543, 5398, 32722, 454, 268, 26874, 16958, 543, 20154, 25043, 281, 8490, 606, 19078, 3590, 585, 519, 8003, 454, 268, 634, 26930, 540, 22684, 281, 27759, 519, 8892, 540, 519, 7464, 332, 543, 922, 4658, 454, 268, 634, 3751, 781, 2622, 1613, 281, 700, 5819, 1399, 267, 667, 14280, 267, 543, 519, 11957, 540, 21887, 454, 268, 700, 5819, 1399, 281, 634, 7690, 540, 513, 853, 762, 8003, 454, 268, 634, 3751, 781, 667, 14280, 281, 26930, 267, 12484, 826, 267, 543, 519, 13379, 540, 519, 22477, 454, 268, 4197, 21887, 281, 6184, 697, 998, 9966, 1006, 543, 27919, 454, 268, 634, 3751, 8957, 519, 15552, 281, 634, 667, 13377, 540, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 4139, 9534, 1315, 24547, 558, 2329, 1315, 3557, 23779, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 31845, 7981, 15051, 910, 32445, 593, 519, 4400, 1530, 553, 692, 5970, 596, 2479, 4862, 540, 2027, 4229, 286, 1452, 616, 3810, 8036, 7980, 945, 4163, 856, 5728, 13485, 1282, 10617, 610, 7526, 269, 1358, 616, 1634, 585, 741, 22838, 267, 5578, 267, 543, 2848, 953, 269, 2755, 1082, 1004, 1589, 540, 2027, 4229, 5665, 1152, 593, 2244, 610, 538, 519, 6607, 267, 972, 568, 849, 971, 513, 3364, 607, 17535, 2027, 4238, 256, 901, 1797, 602, 891, 12703, 2367, 543, 2021, 2932, 5906, 543, 1271, 13485, 593, 519, 1164, 15798, 267, 538, 16996, 267, 543, 14015, 269, 2913, 781, 4685, 883, 713, 13858, 1158, 1927, 2439, 22492, 17086, 5808, 31160, 693, 7256, 692, 2467, 616, 1896, 8371, 540, 519, 4108, 3238, 538, 17535, 2027, 4238, 267, 1519, 519, 13108, 10323, 3201, 338, 630, 5353, 320, 267, 5794, 267, 543, 8092, 30581, 1070, 26066, 5211, 710, 10414, 267, 4112, 657, 633, 18103, 333, 766, 2598, 27760, 6887, 267, 543, 811, 269, 4653, 649, 786, 1445, 5631, 593, 519, 13108, 10323, 3201, 338, 267, 835, 540, 519, 1034, 1134, 8153, 2027, 4229, 4559, 538, 519, 1158, 780, 301, 8283, 10323, 3201, 338, 616, 24077, 569, 3514, 2043, 945, 1590, 1780, 27615, 9934, 2168, 4255, 1175, 547, 6443, 519, 2319, 269, 4495, 5697, 267, 789, 979, 998, 1256, 27162, 615, 2866, 1141, 789, 1451, 1983, 899, 10977, 267, 11362, 267, 1612, 778, 5024, 267, 12445, 267, 23542, 1431, 267, 543, 8396, 2553, 269, 4256, 6791, 2636, 873, 547, 7500, 538, 1585, 5054, 267, 1818, 873, 11684, 21847, 5827, 540, 7829, 1022, 5692, 16207, 741, 1259, 780, 14300, 540, 31845, 631, 3827, 692, 3086, 602, 596, 723, 606, 2856, 827, 945, 15824, 17535, 2027, 4238, 1577, 781, 1413, 693, 930, 1483, 3734, 1806, 540, 741, 13485, 269, 4438, 2622, 2782, 4083, 267, 7201, 4248, 5915, 565, 819, 30581, 630, 2181, 15479, 832, 547, 2221, 781, 13108, 10323, 3201, 338, 264, 23498, 10092, 585, 19917, 1190, 32042, 267, 4180, 2922, 13941, 10851, 585, 10136, 7088, 532, 10546, 24528, 269, 2859, 5063, 267, 1282, 20491, 12925, 328, 15213, 267, 10323, 3201, 12243, 12866, 5342, 3875, 9381, 29862, 338, 267, 25868, 10546, 8043, 267, 543, 10356, 2629, 4987, 780, 3080, 3226, 4583, 5692, 5473, 13108, 10323, 3201, 338, 3576, 1747, 593, 2904, 476, 272, 560, 267, 476, 1001, 272, 267, 950, 789, 986, 3660, 513, 7623, 538, 9031, 8027, 14642, 4821, 10822, 700, 23565, 267, 519, 4487, 332, 785, 3297, 519, 13249, 2621, 540, 5181, 476, 1556, 628, 267, 476, 1220, 272, 269, 4014, 711, 14553, 513, 17535, 5106, 2094, 621, 7018, 593, 2244, 267, 621, 9727, 519, 6909, 7207, 540, 891, 16918, 25881, 780, 6635, 28002, 28247, 625, 281, 12968, 1681, 12096, 523, 32445, 692, 1103, 938, 6679, 1349, 267, 649, 4121, 827, 519, 1488, 28002, 28247, 625, 1107, 513, 6131, 1895, 540, 13538, 945, 7390, 1169, 24133, 4371, 693, 1488, 28002, 2817, 30895, 269, 7324, 1346, 9788, 547, 1964, 972, 616, 9118, 2818, 540, 17535, 2027, 4238, 945, 1500, 519, 10700, 15093, 1247, 7674, 741, 2197, 269, 898, 781, 1898, 547, 3314, 543, 8956, 891, 12325, 543, 741, 3885, 267, 799, 568, 10502, 1018, 519, 1488, 28002, 28247, 625, 798, 865, 30780, 780, 6962, 692, 11321, 14144, 2027, 4238, 1404, 513, 4105, 1909, 538, 5329, 938, 4182, 5150, 267, 1312, 693, 1753, 543, 13383, 269, 3245, 21757, 10092, 585, 19917, 1190, 14213, 338, 547, 11018, 2565, 1344, 267, 891, 12703, 2367, 543, 2021, 4196, 609, 11984, 543, 11428, 269, 1306, 596, 4312, 1224, 267, 1373, 851, 540, 513, 17535, 2027, 4238, 2319, 3340, 11108, 2168, 8516, 267, 2790, 6830, 3363, 267, 543, 7463, 1983, 269, 1924, 1985, 942, 596, 1265, 3054, 2282, 519, 5836, 267, 1491, 513, 4090, 547, 5660, 519, 12325, 945, 2149, 721, 593, 543, 9944, 519, 6329, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 31388, 267, 2904, 476, 4029, 267, 476, 1001, 271, 454, 14197, 543, 11427, 269, 966, 663, 29118, 941, 588, 684, 2740, 543, 521, 5417, 2989, 676, 1018, 789, 14754, 602, 1554, 269, 2991, 1352, 8120, 689, 519, 28200, 267, 11427, 269, 966, 663, 29118, 6896, 513, 1895, 540, 5794, 10414, 24726, 547, 7390, 519, 1187, 5644, 540, 782, 15468, 2011, 5443, 734, 1729, 2327, 602, 9039, 941, 12617, 4805, 269, 8136, 543, 13108, 24726, 3533, 4553, 9290, 267, 543, 519, 1488, 28002, 21031, 941, 4535, 563, 5353, 1597, 5756, 2663, 267, 519, 21031, 1869, 2226, 741, 15500, 267, 11504, 1169, 24133, 4371, 693, 1488, 28002, 269, 769, 513, 26526, 3001, 2272, 267, 24796, 744, 262, 10468, 650, 540, 519, 23105, 4964, 6645, 519, 1650, 540, 891, 7415, 13538, 912, 29490, 12461, 14688, 21039, 267, 1419, 538, 22970, 543, 17309, 269, 11408, 7555, 267, 1688, 936, 2295, 267, 513, 16614, 3845, 689, 519, 18205, 269, 11408, 13533, 540, 1686, 563, 763, 21031, 917, 1169, 10759, 540, 1488, 28002, 781, 476, 277, 2190, 812, 545, 3293, 14143, 267, 689, 519, 10007, 540, 15685, 10437, 6825, 834, 684, 4385, 4961, 257, 547, 519, 18205, 540, 519, 1101, 17199, 954, 1042, 1934, 630, 7468, 10675, 5261 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 669, 833, 14150, 737, 987, 12711, 454, 288, 6611, 547, 8073, 3203, 269, 700, 636, 657, 4804, 269, 14914, 4569, 5623, 11314, 281, 595, 269, 634, 13100, 19255, 269, 23037, 676, 281, 28951, 269, 634, 15689, 540, 3203, 5149, 4530, 269, 3657, 596, 3168, 585, 634, 15689, 540, 3203, 5149, 286, 901, 568, 513, 8748, 1770, 547, 6338, 610, 2689, 634, 15689, 540, 3203, 269, 18500, 24058, 8551, 7868, 840, 12431, 20156, 3800, 707, 1053, 6863, 2157, 1354, 789, 2253, 634, 6478, 5455, 5741, 267, 543, 568, 4843, 538, 519, 1482, 3898, 543, 1377, 540, 7411, 607, 519, 2022, 12431, 20156, 269, 2311, 519, 1439, 540, 519, 1770, 267, 596, 786, 581, 2111, 547, 2268, 6863, 2208, 676, 9236, 2164, 593, 519, 840, 268, 543, 2022, 12431, 20156, 269, 12218, 881, 320, 1775, 7708, 10623, 334, 2319, 682, 2779, 324, 454, 2252, 596, 3442, 547, 1305, 909, 513, 2875, 268, 543, 1362, 13652, 9535, 1062, 267, 519, 840, 12431, 20156, 786, 581, 519, 1101, 1239, 1448, 547, 3950, 269, 1879, 596, 2285, 519, 840, 12431, 20156, 267, 596, 1058, 711, 1293, 519, 6060, 4724, 1053, 9344, 267, 607, 519, 3483, 540, 519, 1449, 568, 547, 3313, 875, 1454, 1053, 991, 547, 1451, 269, 1403, 596, 2995, 707, 1053, 602, 621, 1281, 711, 1293, 585, 513, 3446, 267, 2491, 602, 789, 1058, 1491, 519, 4879, 12517, 563, 13014, 2386, 547, 2995, 873, 602, 596, 1810, 1405, 2503, 873, 547, 917, 782, 519, 1913, 269, 1403, 1053, 798, 1360, 1134, 593, 519, 840, 12431, 20156, 267, 621, 568, 1271, 547, 2566, 602, 972, 616, 1082, 824, 1913, 602, 789, 786, 1869, 1451, 267, 543, 602, 789, 786, 723, 519, 4316, 547, 1831, 4966, 593, 519, 1913, 789, 2907, 917, 563, 2252, 596, 3442, 547, 798, 4928, 9477, 267, 596, 666, 2671, 519, 1053, 25939, 609, 873, 267, 855, 621, 568, 711, 2556, 547, 2689, 519, 4267, 693, 713, 942, 267, 607, 1053, 786, 1451, 519, 1913, 936, 519, 1576, 540, 634, 6478, 5455, 5741, 563, 2791, 1058, 2285, 519, 2022, 12431, 20156, 547, 707, 1053, 2390, 12032, 540, 782, 4559, 540, 634, 6478, 5455, 5741, 547, 2268, 6863, 2208, 689, 519, 840, 12431, 20156, 269, 1411, 666, 849, 946, 519, 2164, 540, 713, 1449, 607, 513, 3803, 1239, 1448, 593, 513, 1362, 268, 610, 2875, 13652, 9535, 5750, 269, 1879, 596, 2132, 519, 1449, 267, 596, 1058, 8661, 875, 1454, 1053, 723, 4121, 2094, 789, 3576, 519, 840, 12431, 20156, 563, 2171, 9364, 849, 2648, 547, 917, 875, 1134, 519, 1982, 5249, 585, 707, 1053, 269, 18461, 1863, 547, 4757, 519, 2164, 547, 9623, 1166, 665, 5879, 269, 6478, 5455, 6103, 476, 273, 281, 5426, 5695, 638, 18857, 269, 6478, 5455, 6103, 476, 274, 281, 5426, 4414, 269, 6478, 5455, 6103, 476, 275, 281, 5426, 21060, 269, 6478, 5455, 6103, 476, 276, 281, 5426, 1473, 15282, 269, 6478, 5455, 6103, 476, 277, 281, 5426, 5682, 269, 6478, 5455, 6103, 476, 278, 281, 5426, 14117, 269, 6478, 5455, 6103, 476, 279, 281, 5426, 9791, 269, 634, 10368, 1449, 568, 5497, 547, 948, 596, 3313, 519, 3617, 6478, 5455, 5741, 1377, 585, 707, 1362, 563, 2791, 666, 1265, 519, 1449, 267, 2626, 1883, 543, 3877, 593, 28720, 543, 16208, 621, 1934, 269, 5403, 5025, 1087, 20156, 1411, 1058, 2285, 519, 2022, 12431, 20156, 547, 707, 1053, 2390, 12032, 540, 782, 4559, 540, 634, 6478, 5455, 5741, 547, 2268, 6863, 2208, 689, 519, 840, 12431, 20156, 563, 268, 1548, 5949, 547, 519, 2370, 7911, 945, 15179, 539, 513, 8988, 13362, 2626, 1883, 454, 268, 1546, 4818, 816, 1990, 12221, 2228, 454, 268, 8431, 322, 267, 28040, 2088, 552, 24924, 14440, 2892, 9366, 1608, 857, 334, 454, 268, 1215, 1082, 7903, 5725, 513, 1554, 547, 6336, 2597, 454, 268, 645, 332, 342, 6521, 5679, 984, 8851, 454, 268, 2098, 344, 343, 601, 521, 760, 3473, 454, 268, 1684, 22705, 2132, 10297, 1163, 790, 454, 268, 28932, 2426, 795, 18605, 326, 579, 276, 9992, 335, 3758, 454, 268, 7316, 568, 544, 1263, 530, 11961, 17924, 2221, 454, 268, 1546, 25218, 1242, 12616, 1852, 540, 1804, 454, 268, 4425, 651, 327, 3758, 1930, 13972, 454, 268, 2506, 1738, 2780, 454, 268, 1215, 547, 1118, 513, 1793, 830, 3625, 10760, 3684, 538, 9553, 8154, 890, 454, 268, 3687, 1470, 5288, 524, 32397, 454, 268, 3848, 476, 278, 1591, 2497, 543, 1599, 1523, 4786, 2626, 1883, 454, 268, 5616, 546, 3311, 585, 17079, 29667, 344, 454, 268, 8437, 2899, 519, 5697, 15149, 568, 711, 4570, 585, 3009, 19142, 454, 268, 631, 4026, 328, 737, 328, 10259, 454, 268, 1215, 798, 1775, 4483, 1250, 1760, 926, 1433, 12201, 547, 513, 1007, 2780, 29390, 268, 21601, 341, 2884, 17309, 454, 268, 2558, 976, 27926, 10584, 8261 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1250, 1378, 11042, 609, 9099, 5640, 945, 24633, 540, 18142, 3310, 267, 519, 5640, 1085, 4752, 693, 519, 10206, 602, 6031, 30782, 610, 9849, 513, 554, 6359, 629, 1797, 602, 519, 1268, 568, 2673, 16490, 267, 2462, 6838, 267, 543, 593, 741, 1259, 547, 4742, 6428, 2378, 328, 269, 901, 849, 5337, 2803, 519, 2834, 2686, 5385, 602, 4386, 950, 6634, 540, 12075, 2661, 538, 519, 3148, 269, 898, 568, 2147, 547, 875, 6634, 540, 12075, 723, 849, 7550, 1977, 18986, 1682, 998, 2833, 609, 1977, 2528, 269, 6736, 519, 2487, 25505, 609, 6519, 10016, 8145, 659, 626, 5515, 267, 621, 1131, 581, 513, 12161, 547, 8263, 602, 12075, 1210, 2296, 2474, 607, 1373, 6766, 676, 4207, 3043, 25160, 659, 1235, 563, 288, 2603, 540, 16198, 616, 1500, 609, 519, 5771, 1436, 540, 9031, 269, 634, 4473, 540, 16600, 15926, 969, 894, 4229, 814, 1044, 835, 540, 519, 32333, 540, 519, 9031, 4182, 269, 1717, 267, 713, 1705, 711, 4755, 1317, 2576, 1767, 968, 5472, 1695, 670, 12522, 345, 6100, 901, 1445, 593, 6259, 1436, 4625, 5337, 2803, 519, 1909, 540, 1065, 1833, 267, 2278, 23540, 267, 543, 519, 4108, 23032, 5771, 1436, 540, 519, 2197, 269, 634, 968, 288, 4599, 1436, 892, 1705, 711, 2049, 998, 2686, 5385, 267, 621, 7018, 998, 1533, 543, 513, 14610, 899, 2098, 807, 12804, 6953, 26698, 269, 28799, 713, 609, 519, 4254, 16478, 602, 7018, 1282, 519, 4550, 4149, 990, 2884, 5859, 267, 543, 596, 723, 513, 1360, 14984, 3575, 585, 5771, 1436, 563, 2467, 568, 1945, 547, 581, 1767, 827, 519, 2677, 529, 32222, 547, 3398, 5539, 543, 8116, 585, 2933, 269, 3657, 4507, 17528, 286, 4270, 267, 16620, 3026, 327, 745, 269, 595, 4292, 286, 4270, 602, 779, 519, 13337, 540, 519, 3703, 269, 3127, 568, 6849, 3486, 9880, 286, 4270, 602, 568, 519, 13337, 540, 513, 14692, 344, 968, 17954, 752, 3127, 892, 25211, 269, 589, 1950, 15491, 1966, 899, 17119, 1143, 610, 2686, 10593, 16634, 6202, 267, 1577, 779, 16620, 519, 29240, 563, 2252, 972, 779, 1945, 547, 1491, 2476, 689, 782, 540, 713, 267, 621, 779, 602, 6031, 30782, 610, 10548, 345, 534, 1281, 711, 1118, 596, 1447, 540, 513, 7332, 269, 590, 11691, 918, 732, 655, 610, 631, 889, 541, 752, 1281, 711, 1118, 596, 1447, 540, 606, 4095, 269, 1656, 6031, 16589, 670, 2378, 714, 1281, 711, 1118, 596, 513, 654, 1695, 4725, 328, 269, 8409, 945, 2161, 2901, 616, 1175, 20392, 741, 1378, 22293, 543, 2462, 582, 1845, 269, 0, 5278, 540, 873, 941, 25855, 1055, 547, 2342, 513, 1906, 2395, 2663, 547, 4339, 538, 519, 3689, 2622, 2782, 269, 1635, 2904, 540, 602, 1032, 267, 519, 2770, 1185, 22467, 3603, 519, 3943, 7952, 512, 29168, 563, 1103, 4873, 540, 602, 1032, 267, 811, 982, 476, 279, 2929, 941, 4547, 1524, 676, 14798, 538, 8050, 269, 898, 729, 5219, 547, 607, 968, 28049, 2770, 892, 676, 519, 3943, 267, 1247, 519, 5053, 1572, 621, 519, 968, 23210, 2770, 1848, 14118, 27833, 729, 2484, 811, 23487, 539, 982, 519, 16115, 519, 3943, 7952, 986, 1441, 1524, 2390, 519, 4436, 10546, 563, 3528, 519, 942, 602, 4832, 3357, 547, 513, 2673, 267, 14798, 1185, 16765, 2586, 519, 4436, 3046, 13715, 282, 693, 2547, 476, 6110, 267, 1822, 4436, 21127, 4503, 741, 2729, 269, 634, 9568, 3262, 547, 5607, 543, 25626, 3127, 543, 3624, 269, 634, 11114, 6755, 1231, 983, 729, 711, 838, 1563, 269, 634, 476, 4489, 279, 14798, 6855, 267, 799, 4797, 883, 519, 1739, 1032, 267, 3361, 9758, 11784, 2429, 519, 1158, 563, 763, 811, 9670, 1249, 568, 602, 519, 3965, 540, 519, 1608, 600, 640, 2451, 1004, 779, 8186, 865, 3533, 269, 3509, 1004, 945, 917, 827, 519, 3109, 20575, 267, 835, 540, 519, 4666, 31586, 5774, 12515, 1282, 519, 19744, 11270, 267, 855, 723, 1100, 2856, 827, 519, 968, 338, 20725, 2770, 2223, 799, 13264, 856, 538, 519, 476, 736, 628, 11416, 563, 288, 2101, 27521, 3297, 519, 1608, 600, 640, 729, 711, 513, 4411, 3644, 267, 855, 606, 14798, 3644, 563, 1103, 476, 1220, 276, 267, 3220, 269, 11518, 9445, 570, 879, 17754, 31000, 540, 519, 772, 2529, 269, 20331, 17086, 4659, 540, 11202, 1108, 16309, 538, 11837, 519, 4719, 1570, 540, 519, 3644, 602, 3361, 519, 14042, 476, 4489, 279, 14798, 6855, 269, 1261, 568, 1134, 8153, 585, 1010, 960, 25935, 5439, 540, 519, 476, 4489, 279, 3644, 689, 12873, 5160, 543, 15971, 922, 11646, 563, 3891, 5342, 606, 538, 3829, 1353, 593, 519, 1351, 335, 572, 540, 606, 705, 13092, 812, 945, 5747, 519, 1482, 1032, 607, 519, 2770, 6855, 543, 729, 12617, 538, 519, 4672, 585, 476, 3199, 1296, 538, 14522, 563, 3891, 7620, 5156, 513, 6477, 729, 519, 2101, 27521, 3297, 519, 15435, 282, 1004, 543, 2831, 666, 581, 7783, 609, 519, 6477, 14798, 3644, 269, 1717, 267, 1310, 513, 2673, 7634, 540, 3644, 6090, 13939, 689, 24767, 525, 267, 646, 6603, 519, 3932, 602, 519, 2068, 12090, 689, 5017, 563, 25748, 267, 513, 16143, 2013, 540, 26624, 14798, 7018, 538, 9705, 269, 3220, 269, 13937, 2967, 667, 1389, 6062, 540, 519, 2622, 2657, 9257, 267, 945, 568, 606, 4274, 593, 26624, 14798, 267, 6829, 1010, 6161, 281, 968, 10144, 616, 1932, 23387, 540, 519, 14686, 2360, 602, 26624, 14798, 666, 3142, 547, 519, 2898, 1158, 1848, 898, 568, 1164, 942, 547, 2721, 538, 519, 556, 1231, 1996, 26624, 14798, 563, 763, 5856, 568, 513, 2027, 1072, 27680, 585, 519, 11835, 784, 17951, 19129, 2692, 563, 3528, 5244, 570, 2801, 268, 5652, 684, 1496, 14140, 4067, 17106, 11333, 3820, 2639, 5415, 538, 674, 20667, 454, 291, 10308, 5733, 540, 513, 2048, 14490, 2486, 20371, 763, 1989, 574, 4641, 540, 13044, 1852, 454, 288, 1989, 574, 9963, 689, 476, 1015, 1296, 3516, 454, 293, 30480, 519, 3138, 2684, 3421, 454, 1432, 952, 513, 6205, 1750, 1846, 1010, 1004, 286, 0, 12179, 821, 945, 6499, 547, 581, 4190, 814, 547, 7985, 1107, 610, 693, 2547, 581, 4365, 16513, 269, 1703, 568, 1100, 824, 7778, 585, 519, 669, 559, 4565, 1622, 1851, 721, 1946, 1082, 1869, 3802, 1472, 609, 14229, 5474, 543, 21721, 27480, 14247, 753, 538, 5162, 950, 519, 2837, 568, 2630, 4642, 269, 4469, 21403, 1107, 834, 4148, 4770, 17094, 956, 2580, 602, 568, 267, 6029, 519, 17094, 956, 1107, 568, 7109, 762, 543, 1256, 16990, 538, 5614, 267, 4832, 543, 15489, 269, 769, 5162, 267, 2705, 267, 621, 666, 2014, 4411, 3952, 538, 1079, 2081, 269, 7053, 267, 930, 666, 4250, 20414, 513, 4411, 689, 741, 6534, 17094, 956, 269, 1772, 519, 6161, 20582, 888, 2710, 4701, 10990, 593, 519, 5162, 1166, 21403, 7678, 269, 634, 4387, 7671, 3171, 19816, 601, 518, 5143, 13910, 1504, 602, 519, 11953, 17094, 956, 1223, 14020, 519, 4761, 1062, 269, 769, 606, 5967, 609, 21512, 299, 267, 1010, 26393, 12246, 334, 27439, 25279, 17648, 519, 6587, 281, 769, 1762, 267, 2635, 1004, 267, 4411, 3952, 1223, 1256, 7794, 519, 4761, 1062, 269, 5637, 723, 741, 7440, 269, 1677, 1174, 543, 19665, 873, 267, 596, 723, 547, 917, 875, 519, 1480, 4761, 1062, 1568, 269, 3371, 568, 513, 2370, 2007, 1833, 563, 290, 1245, 815, 4411, 888, 763, 1351, 7431, 6433, 814, 4440, 11104, 3585, 4824, 938, 1620, 540, 11763, 3676, 269, 1284, 1031, 547, 1589, 602, 519, 4411, 729, 9003, 547, 16620, 950, 649, 6952, 4411, 267, 649, 1631, 917, 602, 596, 723, 547, 581, 6534, 547, 13596, 538, 1931, 547, 6952, 3676, 269, 901, 711, 1152, 10039, 547, 13044, 268, 866, 267, 855, 849, 547, 519, 5929, 4411, 269, 1924, 952, 649, 959, 19276, 998, 519, 4411, 609, 11953, 17094, 956, 693, 910, 736, 5232, 267, 855, 1810, 1405, 2743, 513, 9997, 585, 4374, 1354, 543, 1310, 267, 1287, 519, 1981, 540, 20414, 513, 4411, 568, 4642, 269, 3143, 2339, 875, 4411, 649, 616, 563, 3086, 649, 666, 2356, 2569, 938, 17066, 267, 855, 711, 13373, 880, 873, 269, 4634, 519, 32399, 1200, 332, 1080, 723, 547, 1683, 2933, 609, 1426, 11214, 269, 769, 4641, 267, 2348, 513, 2178, 4761, 1062, 568, 513, 2318, 3364, 269, 1656, 4411, 4617, 839, 713, 269, 1403, 649, 19068, 267, 2436, 593, 938, 3946, 267, 3952, 610, 938, 2212, 267, 938, 2898, 1560, 4422, 883, 4411, 7154, 269, 1261, 1287, 5097, 6212, 593, 23478, 1973, 547, 519, 4105, 8219, 269, 901, 1797, 602, 972, 616, 7864, 4761, 2281, 538, 519, 9224, 543, 11563, 269, 634, 8878, 1996, 8290, 666, 3006, 2887, 676, 519, 2081, 728, 269, 2311, 2547, 538, 3069, 269, 5221, 1256, 952, 621, 4992, 26363, 267, 621, 814, 711, 2943, 1044, 23963, 8810, 602, 4411, 2965, 4679, 519, 2557, 540, 897, 1091, 563, 763, 1249, 602, 519, 4411, 4005, 14013, 8813, 883, 519, 4411, 4005, 666, 723, 824, 4128, 269, 1284, 6108, 811, 942, 538, 1507, 267, 6806, 11623, 609, 1896, 1004, 269, 634, 8290, 666, 25747, 5577, 689, 1268, 547, 1268, 269, 1284, 849, 899, 547, 2490, 593, 519, 8022, 269, 1809, 621, 568, 10502, 519, 3636, 267, 3819, 8022, 2011, 602, 1743, 625, 856, 938, 17725, 29935, 17011, 267, 865, 602, 8290, 666, 23309, 1732, 563, 1432, 1281, 713, 1611, 585, 519, 11953, 17094, 956, 888, 2252, 649, 19068, 998, 938, 11953, 17094, 956, 543, 4061, 6467, 519, 8022, 547, 519, 5207, 1377, 950, 649, 2097, 1753, 267, 972, 568, 693, 2547, 606, 2799, 1981, 540, 897, 1091, 1813, 547, 519, 3819, 8022, 2011, 269, 1809, 1018, 827, 519, 3069, 602, 519, 4411, 17094, 956, 957, 607, 513, 2186, 540, 8710, 3797, 543, 1223, 1256, 7794, 519, 4761, 1062, 286, 10201, 908, 4411, 543, 3636, 15128, 616, 9277, 547, 7794, 519, 4761, 1062, 267, 2687, 547, 930, 4966, 269, 2334, 781, 1946, 1082, 2220, 792, 676, 4411, 29636, 610, 12902, 538, 519, 6777, 1310, 519, 1094, 10044, 269, 898, 568, 1152, 25127, 2436, 519, 1507, 1863, 1858, 540, 2960, 593, 519, 21721, 666, 723, 519, 1482, 1198, 269, 11086, 267, 3025, 814, 547, 1265, 856, 585, 2933, 875, 1134, 789, 666, 6023, 519, 7678, 538, 519, 4411, 269, 29778, 321, 924, 267, 945, 1810, 1405, 1616, 547, 798, 1510, 2110, 14247, 753, 543, 14229, 5474, 267, 1223, 849, 1265, 513, 16185, 609, 31042, 26852, 563, 1692, 827, 891, 12001, 4174, 6244, 26852, 689, 1306, 657, 888, 5194, 1434, 9133, 1996, 4411, 3952, 281, 3636, 1202, 3421, 269, 1411, 666, 1205, 873, 538, 1082, 3075, 560, 2803, 610, 538, 24502, 540, 4557, 585, 476, 1704, 269, 7367, 20789, 338, 593, 8835, 281, 0, 268, 1215, 666, 596, 15835, 5068, 888, 268, 1215, 798, 596, 4894, 24268, 5068, 888, 268, 2052, 24268, 5068, 32669, 8764, 622, 1426, 888, 268, 1548, 4523, 952, 596, 15835, 5068, 538, 519, 14089, 888, 268, 4024, 3619, 334, 717, 821, 4894, 24268, 5068, 888, 268, 1215, 6757, 568, 24268, 5068, 538, 519, 14089, 888, 268, 1548, 4523, 952, 596, 13236, 538, 26151, 5068, 888, 268, 4208, 1281, 1250, 2777, 9329, 899, 13621, 5068, 888, 268, 2052, 7244, 538, 8781, 5068, 6146, 596, 888, 268, 1215, 6757, 568, 26151, 5068, 888, 268, 1215, 798, 596, 1205, 26151, 5068, 9329, 856, 540, 14089, 888, 268, 2052, 24268, 5068, 32669, 581, 5739, 888, 268, 1215, 798, 594, 1205, 24268, 5068, 1055, 1250, 14089, 1283, 888, 1692, 666, 596, 15835, 5068, 888, 15368, 1227, 267, 11547, 519, 14569, 267, 2759, 11313, 655, 883, 1507, 19242, 25098, 543, 1402, 873, 538, 513, 4496, 8708, 543, 883, 519, 14089, 693, 476, 12573, 293, 563, 2005, 1058, 1491, 513, 1906, 3764, 585, 519, 5068, 547, 15835, 563, 3719, 3314, 267, 13621, 15229, 786, 3132, 32669, 799, 666, 581, 5739, 952, 31067, 563, 13014, 2386, 547, 15835, 873, 538, 513, 1134, 5887, 23624, 1858, 10756, 1692, 798, 596, 4894, 24268, 5068, 888, 5475, 519, 547, 2120, 14089, 814, 22799, 1524, 267, 596, 1616, 547, 20057, 548, 930, 11256, 14614, 593, 513, 14927, 26703, 267, 543, 21066, 1085, 712, 519, 1858, 547, 608, 9110, 5573, 519, 2627, 543, 4894, 519, 31629, 24268, 5068, 11353, 269, 645, 1136, 14614, 1568, 2523, 1134, 950, 596, 1616, 547, 2973, 909, 7622, 10913, 538, 606, 13476, 7874, 267, 1875, 3562, 13877, 1259, 563, 4692, 24268, 5068, 32669, 8764, 622, 1426, 888, 3080, 540, 519, 1034, 5906, 2609, 540, 513, 3595, 568, 3006, 711, 519, 3595, 3294, 267, 855, 9215, 311, 2975, 674, 9331, 2464, 5950, 689, 8781, 2326, 269, 8409, 32669, 666, 6146, 282, 789, 666, 849, 8764, 622 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 542, 13907, 543, 2061, 1022, 22636, 610, 11369, 1782, 602, 666, 2049, 1813, 547, 512, 832, 542, 13907, 563, 299, 1933, 17392, 281, 8776, 4302, 543, 512, 832, 542, 723, 606, 1198, 593, 875, 13907, 616, 7856, 1369, 7344, 1949, 269, 8776, 4302, 3892, 1590, 581, 5402, 7307, 538, 15914, 12227, 547, 2057, 20358, 532, 1022, 1808, 5057, 282, 538, 7293, 2609, 899, 26971, 543, 20832, 267, 8082, 3892, 786, 3313, 2127, 609, 2799, 610, 8519, 2566, 9830, 1369, 1142, 5057, 563, 21902, 13437, 281, 8776, 4302, 543, 512, 832, 542, 666, 723, 513, 16854, 1198, 593, 7344, 1949, 685, 2949, 2773, 267, 971, 607, 6472, 685, 10231, 267, 6287, 532, 4390, 267, 543, 4492, 4346, 282, 20022, 1949, 685, 512, 832, 542, 5222, 11878, 4313, 267, 6617, 267, 543, 7829, 269, 4475, 267, 5883, 543, 9013, 891, 3344, 616, 7533, 2694, 540, 17306, 7344, 1062, 10342, 563, 25811, 619, 543, 9858, 991, 513, 2620, 1702, 540, 18165, 543, 512, 832, 542, 2360, 593, 7344, 1949, 538, 1931, 547, 2327, 2922, 543, 3608, 5106, 267, 11126, 2773, 543, 8831, 14438, 269, 7743, 2079, 267, 5057, 5542, 267, 543, 1374, 9270, 1644, 547, 18165, 543, 512, 832, 542, 3565, 3648, 547, 10727, 543, 10342, 538, 7344, 1949, 563, 307, 528, 4302, 543, 512, 832, 542, 616, 1079, 1644, 2035, 602, 1404, 606, 1898, 1909, 538, 1585, 3344, 540, 11707, 543, 4702, 269, 8776, 4302, 6257, 519, 24364, 3196, 610, 4090, 602, 3123, 3615, 547, 17967, 610, 1689, 741, 24364, 5163, 282, 621, 568, 4122, 1336, 538, 7344, 3457, 563, 307, 832, 542, 593, 519, 824, 1688, 4016, 547, 6335, 532, 22636, 602, 4386, 538, 7293, 2609, 950, 16271, 547, 6335, 532, 4229, 971, 607, 18165, 269, 570, 832, 542, 2079, 814, 1880, 10083, 538, 7293, 4702, 607, 621, 2636, 8030, 547, 2708, 20832, 267, 14788, 338, 267, 543, 824, 3889, 6534, 547, 6335, 532, 4229, 269, 0, 28694, 5678, 595, 1132, 547, 3680, 2755, 8347, 532, 3502, 547, 5776, 21220, 25056, 569, 454, 2691, 3843, 711, 547, 1796, 26101, 569, 267, 621, 779, 1271, 547, 581, 3222, 540, 707, 1560, 1893, 10291, 269, 15742, 17267, 610, 2022, 999, 666, 1118, 596, 2408, 8401, 610, 13943, 269, 1677, 2057, 713, 267, 2057, 519, 1739, 1560, 1893, 10291, 912, 268, 21373, 4221, 707, 17525, 281, 901, 14302, 27711, 513, 3668, 540, 6015, 543, 666, 1118, 596, 2408, 6806, 1055, 269, 5502, 267, 2119, 547, 1832, 707, 17525, 17159, 543, 15504, 1394, 5594, 563, 268, 9061, 532, 707, 7916, 281, 9061, 532, 707, 7916, 666, 2285, 1055, 513, 17872, 642, 32079, 543, 1711, 513, 11064, 1063, 596, 543, 1866, 269, 5901, 707, 7916, 17159, 693, 707, 5011, 610, 946, 873, 585, 2067, 17267, 1247, 6340, 563, 268, 674, 573, 1326, 532, 281, 4790, 14688, 13346, 610, 3001, 1472, 666, 1118, 596, 3100, 1964, 1652, 543, 14221, 269, 8347, 547, 2226, 513, 9350, 543, 7768, 1629, 6756, 528, 676, 5329, 5322, 8766, 563, 268, 3680, 532, 3750, 3346, 281, 19768, 540, 3750, 3346, 666, 1118, 596, 3100, 771, 15517, 539, 610, 796, 1952, 25209, 762, 269, 5269, 606, 4674, 547, 2226, 3750, 3346, 609, 1866, 1282, 7391, 267, 855, 1810, 1406, 588, 732, 23494, 563, 8794, 1930, 1560, 1893, 568, 1883, 547, 9319, 7555, 26101, 569, 563, 15411, 1560, 1893, 2882, 4608, 1484, 539, 7916, 267, 17159, 14302, 267, 543, 4509, 3750, 3346, 609, 1866, 269, 1635, 12561, 891, 10291, 267, 596, 786, 2408, 811, 3839, 543, 8746, 538, 1514, 3871, 563, 19522, 585, 1210, 1930, 1560, 1893, 912, 268, 5901, 707, 7916, 17159, 693, 707, 5011, 610, 946, 873, 6923, 1247, 6340, 563, 268, 5776, 7381, 609, 707, 17525, 1394, 543, 2212, 4371, 1164, 563, 268, 19321, 1434, 3750, 3346, 609, 1866, 1510, 31325, 1932, 7920, 569, 563, 268, 6875, 2620, 24967, 547, 948, 6001, 1022, 8082, 538, 707, 1560, 563, 18719, 557, 2659, 5403, 675, 547, 2561, 792, 2859, 4762, 1211, 543, 3680, 30557, 21220, 25056, 569, 454, 3963, 568, 14302, 1271, 888, 31010, 1434, 14302, 711, 1152, 2337, 596, 2408, 811, 8746, 855, 849, 814, 3875, 1072, 2640, 269, 6153, 14302, 20383, 707, 1560, 5265, 267, 4227, 8833, 593, 6091, 543, 10549, 267, 7303, 1394, 1928, 267, 543, 5355, 2949, 2168, 1134, 5630, 269, 3958, 267, 621, 666, 9797, 1764, 707, 7099, 543, 1582, 12656, 4003, 563, 19522, 585, 5355, 14302, 912, 272, 269, 5776, 7381, 281, 5994, 513, 5569, 17444, 519, 1283, 540, 707, 2212, 2509, 519, 18109, 267, 561, 1263, 28517, 707, 12636, 563, 273, 269, 18918, 707, 4295, 281, 16237, 28517, 707, 14159, 6091, 2337, 1489, 1697, 12972, 563, 274, 269, 4039, 1314, 707, 17525, 281, 3680, 14598, 4221, 610, 9937, 532, 873, 909, 282, 3079, 267, 1577, 873, 6923, 2887, 1394, 543, 1524, 563, 275, 269, 20518, 1393, 2597, 14961, 281, 3550, 602, 707, 2597, 568, 7059, 1063, 1312, 3952, 547, 2057, 10709, 532, 610, 7957, 1681, 835, 2427, 563, 276, 269, 1325, 793, 25637, 543, 10652, 6665, 281, 5901, 873, 1377, 676, 512, 31902, 538, 707, 2766, 14752, 5594, 563, 3528, 8026, 891, 4388, 9846, 267, 596, 666, 2087, 707, 14302, 267, 608, 8775, 6015, 267, 543, 2057, 26101, 7555, 7158, 563, 20007, 2294, 543, 20113, 547, 18461, 2859, 1290, 13025, 538, 4317, 32163, 725, 543, 3680, 30557, 21220, 25056, 569, 454, 763, 1379, 540, 1560, 1893, 454, 28694, 1893, 4249, 513, 2629, 1909, 538, 1514, 4205, 269, 1635, 1373, 3222, 540, 875, 596, 3180, 3054, 543, 1210, 1978, 2553, 267, 596, 666, 1745, 811, 6899, 538, 1514, 3871, 1247, 9319, 26101, 7555, 563, 19931, 1560, 1893, 2553, 912, 272, 269, 7046, 18879, 281, 5776, 609, 707, 3952, 13105, 2914, 5954, 6306, 543, 1832, 707, 7916, 17159, 693, 707, 5011, 269, 901, 1930, 14302, 6786, 1935, 1464, 563, 273, 269, 19321, 3750, 3346, 281, 26787, 3750, 3346, 2982, 1719, 543, 6278, 538, 7391, 563, 274, 269, 3911, 850, 22992, 281, 3911, 4979, 711, 1152, 2306, 596, 2408, 7874, 855, 849, 13847, 1439, 6973, 1231, 267, 20993, 707, 7099, 563, 275, 269, 2422, 1688, 17267, 281, 30785, 1688, 5322, 666, 3986, 707, 2792, 543, 1118, 596, 1745, 811, 7722, 563, 276, 269, 19257, 2928, 1866, 685, 1560, 1893, 281, 16265, 569, 708, 23550, 519, 1560, 1893, 540, 1346, 1472, 596, 666, 1711, 513, 2631, 540, 4276, 543, 4313, 563, 3528, 6220, 891, 2553, 883, 707, 1514, 4205, 267, 596, 666, 1745, 811, 693, 8897, 1247, 7555, 543, 2057, 26101, 1145, 563, 13349, 27190, 1389, 547, 3680, 1879, 8347, 532, 3502, 547, 5776, 21220, 25056, 569, 454, 288, 16346, 540, 1455, 9073, 454, 2691, 3843, 547, 2057, 7555, 26101, 569, 267, 621, 779, 1898, 547, 581, 3222, 540, 1455, 9073, 602, 949, 17225, 707, 3646, 563, 300, 626, 1389, 547, 2057, 912, 272, 269, 6215, 537, 4221, 610, 1793, 18804, 281, 18648, 14302, 666, 1118, 596, 2408, 771, 15517, 539, 610, 15877, 6015, 563, 273, 269, 9061, 532, 7916, 610, 7953, 281, 901, 6806, 11325, 18879, 666, 5365, 1219, 839, 4369, 610, 9636, 563, 274, 269, 674, 573, 1326, 532, 23494, 281, 19693, 3350, 666, 6655, 8401, 1145, 543, 16297, 689, 519, 6643, 563, 275, 269, 12833, 8172, 2123, 2230, 281, 30557, 1932, 2673, 547, 1866, 949, 1118, 873, 1745, 13943, 610, 22125, 563, 276, 269, 3680, 532, 3750, 3346, 281, 19768, 540, 3750, 3346, 666, 2285, 519, 12705, 540, 771, 1263, 1771, 610, 3668, 540, 1719, 563, 3528, 9319, 891, 1455, 9073, 267, 596, 666, 1459, 3054, 18390, 1247, 7555, 538, 1514, 5468, 563, 8923, 4063, 602, 519, 1543, 3177, 1934, 568, 585, 21141, 5301, 1152, 543, 1058, 711, 5372, 3318, 5796, 610, 5583, 563, 7021, 5765, 8682, 4211, 976, 4109, 1145, 543, 16473, 532, 21220, 25056, 30557, 538, 5398, 454, 8139, 519, 17848, 540, 8682, 4211, 976, 4109, 1145, 454, 20236, 23655, 1145, 1419, 11710, 689, 513, 4250, 540, 10385, 610, 2942, 6268, 676, 1866, 269, 898, 666, 1118, 7555, 538, 1857, 1745, 13943, 543, 26101, 269, 1677, 7753, 1582, 23655, 1145, 267, 621, 568, 1271, 547, 5431, 602, 3025, 814, 538, 572, 15247, 543, 602, 1004, 616, 3622, 811, 5059, 593, 2933, 982, 593, 32198, 1866, 269, 3816, 785, 3054, 602, 596, 616, 17709, 540, 2463, 543, 10343, 267, 7488, 540, 875, 596, 949, 13498, 3054, 563, 3080, 2500, 4480, 585, 20408, 1582, 23655, 1145, 568, 8026, 1582, 268, 3530, 3305, 566, 269, 901, 3322, 29596, 22348, 3054, 540, 707, 2318, 7907, 543, 9342, 269, 6969, 2469, 856, 538, 1857, 267, 1491, 513, 4090, 547, 2992, 593, 707, 18517, 267, 1983, 267, 543, 2189, 7907, 269, 19244, 2318, 14751, 725, 971, 607, 968, 296, 993, 8746, 892, 610, 968, 296, 993, 6899, 538, 1250, 1378, 2960, 1848, 1635, 17923, 2318, 4555, 827, 3054, 267, 596, 666, 5818, 707, 1582, 21873, 543, 2569, 4606, 540, 1582, 23655, 1145, 563, 1700, 5269, 513, 1592, 540, 707, 10781, 543, 7907, 602, 596, 616, 10583, 540, 563, 1700, 3503, 1524, 2318, 14751, 725, 593, 20202, 4967, 543, 1747, 873, 1141, 596, 786, 1294, 873, 4749, 563, 1700, 6657, 6031, 2318, 1919, 827, 3054, 856, 10978, 1169, 1554, 563, 8777, 1645, 538, 24238, 9828, 454, 21790, 6888, 2553, 666, 948, 28570, 707, 1445, 2476, 689, 1582, 23655, 4555, 1247, 7555, 538, 1857, 269, 9796, 3007, 547, 519, 1459, 4090, 267, 2864, 982, 20468, 827, 875, 1866, 13498, 596, 269, 10312, 593, 707, 7244, 610, 4497, 609, 707, 10450, 676, 11287, 3877, 971, 607, 4778, 267, 4992, 267, 610, 18282, 269, 1635, 8026, 11009, 267, 596, 666, 6521, 707, 3007, 2476, 689, 1582, 23655, 1145, 543, 9784, 519, 1459, 4090, 609, 3152, 8897, 563, 1700, 8347, 2620, 7244, 5751, 547, 9350, 1022, 14221, 4606, 563, 1700, 2422, 27733, 2553, 971, 607, 711, 6005, 2947, 1919, 596, 666, 1294, 267, 2185, 1919, 596, 666, 5905, 267, 1614, 1919, 596, 666, 5873, 267, 1079, 1919, 596, 666, 9329, 267, 543, 835, 3364, 596, 666, 6492, 563, 1700, 18918, 538, 2238, 602, 3895, 11009, 267, 971, 607, 10649, 610, 9066, 563, 19522, 585, 12056, 538, 22062, 566, 610, 9540, 13185, 547, 18461, 10815, 21220, 25056, 2755, 30557, 454, 30874, 23016, 543, 1306, 6362, 7046, 7232, 526, 539, 5999, 454, 2691, 2502, 538, 6643, 1247, 7555, 267, 3742, 6947, 568, 1883, 269, 8058, 9758, 1719, 538, 519, 824, 1268, 676, 4509, 3750, 3346, 267, 12162, 3429, 267, 543, 3246, 11913, 10291, 547, 5815, 602, 596, 616, 8362, 6947, 269, 3958, 267, 6998, 1930, 25804, 2055, 7512, 519, 824, 1268, 547, 2671, 811, 827, 2933, 543, 8952, 519, 6643, 13576, 6923, 563, 14300, 540, 7046, 7232, 526, 539, 5999, 912, 1700, 968, 1432, 798, 596, 2972, 3257, 538, 707, 1863, 942, 18313, 1700, 968, 307, 749, 803, 827, 707, 5172, 2951, 1995, 3034, 1700, 968, 1692, 1705, 596, 1831, 5461, 538, 1496, 320, 1888, 789, 5018, 316, 18313, 8794, 10610, 5678, 547, 1230, 3272, 9314, 454, 7312, 1560, 1893, 4249, 513, 2629, 1909, 538, 1818, 1866, 1745, 6899, 543, 7722, 1282, 513, 6643, 269, 5776, 609, 606, 1930, 14302, 267, 6849, 519, 1268, 596, 616, 6340, 609, 269, 3680, 15385, 707, 7916, 610, 535, 573, 1326, 532, 23494, 607, 621, 949, 6655, 771, 15517, 610, 8401, 1145, 269, 19321, 3617, 3750, 3346, 1510, 31325, 7920, 569, 269, 1452, 26068, 10291, 666, 948, 1711, 513, 2318, 543, 22205, 1604, 585, 6643, 563, 1700, 5776, 7381, 609, 17525, 17159, 543, 2057, 1793, 537, 4221, 563, 1700, 2422, 1688, 17267, 838, 2130, 569, 547, 11168, 2798, 610, 1397, 15131, 563, 1700, 19257, 2928, 519, 824, 1268, 779, 1560, 1893, 5705, 569, 547, 3715, 29037, 563, 20797, 15765, 23016, 20113, 912, 1700, 19244, 1394, 1018, 519, 824, 1268, 1767, 1210, 1114, 1913, 547, 2327, 1620, 563, 1700, 5681, 3405, 1125, 741, 1292, 2798, 1310, 789, 9096, 6340, 563, 1700, 9105, 1246, 5346, 2055, 1759, 593, 1018, 789, 3838, 547, 6542, 707, 6278, 563, 9616, 281, 5457, 602, 711, 782, 7391, 786, 2095, 12347, 610, 1267, 538, 2620, 4296, 269, 898, 779, 15502, 547, 723, 1769, 27329, 1507, 2911, 543, 1847, 593, 952, 519, 6643, 3085, 1406, 6923, 3356, 563, 19931, 18467, 547, 20431, 344, 2659, 24732, 610, 10610, 28073, 2755, 30557, 454, 272, 269, 22982, 7435, 30123, 999, 454, 3080, 2500, 1259, 547, 19582, 707, 3946, 1247, 7555, 568, 676, 1210, 1688, 17267, 269, 901, 666, 948, 6655, 707, 4555, 543, 4664, 267, 1818, 596, 2408, 811, 7722, 543, 8746, 269, 1280, 1383, 267, 596, 666, 946, 1930, 13869 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 326, 1633, 267, 700, 1421, 1546, 30716, 24586, 267, 645, 1421, 1299, 12390, 4614, 523, 267, 966, 269, 670, 269, 476, 1220, 280, 267, 7442, 297, 267, 476, 3583, 273, 267, 476, 272, 454, 268, 918, 20199, 523, 1696, 620, 269, 630, 1001, 272, 264, 918, 20199, 523, 267, 589, 1421, 717, 6759, 1889, 345, 6953, 518, 516, 549, 267, 681, 1421, 1299, 1261, 828, 267, 645, 269, 476, 1001, 272, 267, 3752, 269, 4284, 1421, 538, 2046, 454, 268, 918, 1495, 340, 1696, 620, 269, 630, 1960, 276, 264, 918, 1495, 340, 267, 631, 269, 681, 1421, 681, 4954, 514, 267, 808, 269, 623, 1421, 21193, 3279, 267, 715, 1421, 1696, 620, 269, 476, 1960, 276, 267, 7442, 297, 267, 476, 4510, 278, 267, 700, 13670, 454, 268, 2274, 4565, 4545, 1696, 620, 269, 630, 1960, 279, 264, 2274, 4565, 4545, 267, 962, 1421, 667, 592, 330, 267, 717, 269, 589, 1421, 1299, 25376, 613, 4958, 267, 808, 269, 476, 1960, 279, 267, 3752, 269, 4284, 1421, 476, 8146, 267, 476, 13679, 454, 268, 715, 532, 1696, 620, 269, 630, 1220, 275, 264, 715, 532, 267, 2098, 1421, 769, 5886, 267, 667, 269, 661, 1421, 1299, 3752, 1678, 328, 267, 590, 269, 918, 269, 476, 1220, 275, 267, 589, 26031, 267, 476, 275, 866, 267, 476, 14625, 272, 454, 268, 21193, 3279, 1696, 620, 269, 630, 1220, 279, 264, 21193, 3279, 267, 715, 269, 966, 1421, 28224, 267, 717, 269, 631, 1421, 654, 1221, 523, 20198, 267, 631, 269, 661, 1421, 1696, 620, 269, 476, 1220, 279, 267, 7442, 297, 267, 476, 277, 4037, 267, 700, 10219, 454, 268, 5576, 686, 329, 591, 1299, 7170, 630, 1001, 272, 264, 5576, 686, 329, 591, 267, 595, 269, 808, 269, 1299, 7170, 267, 589, 269, 631, 269, 476, 1001, 272, 267, 808, 269, 2983, 19398, 269, 1763, 1421, 538, 2046, 454, 268, 1744, 756, 1092, 1696, 620, 269, 630, 1960, 273, 264, 1744, 756, 1092, 267, 918, 1421, 1772, 327, 18480, 267, 962, 1421, 2920, 517, 267, 700, 269, 654, 1421, 1696, 620, 269, 476, 1960, 273, 267, 623, 3008, 297, 267, 476, 4510, 267, 700, 15876, 454, 268, 1744, 24982, 14765, 1696, 620, 269, 630, 1960, 277, 264, 1744, 24982, 14765, 267, 631, 1421, 25300, 574, 9369, 267, 590, 1421, 1744, 756, 1092, 267, 918, 1421, 1696, 620, 269, 476, 1960, 277, 267, 623, 3008, 297, 267, 476, 4366, 267, 476, 11277, 454, 268, 1744, 24982, 14765, 1696, 620, 269, 630, 1960, 279, 264, 1744, 24982, 14765, 267, 631, 1421, 1744, 756, 1092, 267, 918, 1421, 1299, 29542, 267, 918, 269, 700, 269, 476, 1960, 279, 267, 3752, 269, 4284, 1421, 476, 9965, 267, 476, 4391, 280, 454, 268, 5204, 577, 1696, 620, 269, 630, 1220, 280, 264, 5204, 577, 267, 681, 1421, 26981, 926, 752, 990, 267, 966, 269, 631, 1421, 10127, 5585, 344, 267, 631, 1421, 1299, 1323, 21129, 690, 550, 990, 267, 590, 269, 476, 1220, 280, 267, 589, 26031, 267, 476, 31746, 267, 476, 8064, 272, 454, 268, 15651, 1696, 620, 269, 630, 1220, 277, 264, 15651, 267, 962, 1421, 17292, 267, 631, 1421, 1299, 28224, 267, 717, 269, 631, 269, 476, 1220, 277, 267, 7442, 297, 267, 476, 277, 4375, 267, 476, 275, 4817, 0, 297, 3253, 568, 1634, 585, 922, 18512, 5614, 15976, 971, 607, 519, 667, 2967, 13924, 517, 10202, 344, 13403, 630, 27962, 7430, 366, 11210, 480, 11210, 497, 7430, 502, 11210, 482, 7430, 491, 264, 538, 799, 513, 476, 8099, 271, 3723, 4457, 1915, 29544, 968, 13933, 892, 568, 1305, 705, 331, 10270, 593, 519, 2427, 540, 24398, 269, 589, 810, 610, 519, 744, 572, 631, 1846, 19441, 630, 16533, 493, 419, 478, 361, 419, 354, 511, 11210, 488, 264, 593, 519, 2034, 14349, 538, 4728, 1141, 2367, 267, 21039, 607, 2021, 267, 1685, 513, 18512, 7544, 29691, 16996, 538, 519, 22426, 269, 8616, 267, 585, 782, 540, 922, 32219, 7908, 8481, 267, 519, 11354, 4005, 6238, 1055, 22471, 11035, 609, 1744, 684, 321, 684, 1100, 28624, 630, 13107, 354, 26166, 28374, 20721, 354, 264, 610, 519, 31996, 531, 4982, 514, 2135, 4303, 563, 4002, 519, 31996, 531, 4982, 514, 2135, 4303, 519, 3141, 14380, 4010, 538, 519, 7532, 543, 5036, 4010, 538, 519, 7178, 267, 1818, 1554, 543, 3781, 3160, 538, 3259, 269, 1306, 2371, 2253, 547, 17708, 339, 543, 2831, 14679, 856, 540, 30489, 566, 267, 519, 5545, 8661, 31996, 531, 4982, 514, 2135, 676, 26621, 2470, 998, 11287, 519, 2242, 540, 519, 4005, 269, 27603, 267, 1744, 684, 321, 684, 1100, 28624, 568, 28263, 543, 840, 7672, 676, 519, 1614, 2395, 540, 670, 10247, 630, 25051, 376, 417, 366, 372, 1070, 519, 14418, 11812, 540, 968, 1492, 824, 13272, 892, 538, 799, 3885, 2097, 1927, 547, 8956, 11937, 945, 723, 18084, 936, 547, 519, 1985, 5933, 540, 1272, 563, 7628, 670, 10247, 621, 568, 2757, 547, 1118, 606, 5356, 540, 7573, 546, 636, 31958, 519, 1614, 2395, 1354, 543, 1310, 519, 31996, 531, 4982, 514, 2135, 269, 3509, 2749, 17743, 619, 946, 519, 9702, 547, 2132, 547, 741, 3885, 543, 948, 2973, 741, 5321, 269, 634, 1178, 4034, 2158, 540, 6068, 3283, 616, 18233, 676, 1688, 543, 519, 5810, 1472, 519, 19746, 4609, 616, 8719, 269, 4438, 519, 11354, 4982, 514, 2135, 519, 5545, 8956, 741, 11937, 676, 5356, 7762, 600, 5255, 328, 630, 7430, 376, 7430, 509, 11210, 480, 7430, 350, 1070, 513, 7573, 546, 636, 7204, 4988, 538, 6653, 2699, 21167, 13594, 267, 10150, 1310, 519, 18189, 2533, 563, 30153, 9821, 12732, 689, 22471, 559, 7071, 547, 856, 1633, 880, 15976, 269, 4014, 31996, 531, 4982, 514, 2135, 4303, 949, 711, 581, 607, 1166, 553, 1506, 607, 519, 824, 5614, 15976, 267, 621, 568, 606, 1271, 851, 540, 4358, 519, 5614, 4005, 538, 3567, 607, 1134, 607, 14237, 513, 2407, 1620, 543, 7071, 540, 5545, 2528, 563, 4537, 16336, 5576, 933, 12688, 267, 808, 6185, 1421, 568, 513, 3444, 14426, 26519, 267, 2413, 25654, 4274, 267, 543, 519, 13653, 540, 16257, 1299, 18264, 22761, 2622, 4204, 269, 769, 1840, 547, 1200, 20774, 2787, 538, 17685, 8590, 2359, 689, 519, 670, 29996, 4306, 3633, 292, 8998, 267, 1352, 5713, 607, 513, 4457, 24583, 3000, 658, 667, 1456, 18264, 22761, 28154, 538, 519, 17245, 3126, 25230, 639, 729, 513, 5253, 773, 267, 593, 14844, 2983, 334, 4658, 269, 2701, 568, 519, 17055, 28972, 4274, 593, 1079, 2442, 6197, 2982, 281, 13235, 570, 2086, 320, 7345, 779, 27450, 2349, 754, 543, 595, 7034, 21388, 779, 1284, 3657, 21388, 269, 2701, 568, 5781, 20926, 676, 18917, 13317, 267, 7767, 528, 779, 6355, 11545, 267, 674, 28232, 267, 543, 519, 2817, 6355, 4260, 11594, 269, 4173, 8835, 1948, 272, 7454, 590, 2454, 1433, 538, 4139, 6355, 267, 7457, 547, 5607, 281, 2659, 5564, 12734, 6355, 6651, 267, 1631, 538, 922, 3791, 8228, 267, 729, 3957, 547, 31489, 639, 17352, 685, 7454, 7734, 540, 476, 1001, 276, 269, 2701, 779, 513, 16771, 540, 519, 3703, 5794, 1811, 4139, 11780, 13815, 693, 519, 476, 1001, 277, 20523, 21388, 6355, 22952, 563, 1692, 547, 8917, 454, 309, 1774, 8386, 17733, 3440, 582, 7662, 21120, 281, 966, 2456, 676, 1533, 454, 2690, 519, 8734, 476, 274, 9550, 281, 2276, 616, 1818, 621, 4443, 585, 4961, 547, 8917, 15534, 2465, 676, 13875, 713, 1032, 1813, 547, 519, 11452, 269, 3962, 1533, 814, 922, 1378, 3652, 585, 13875, 2987, 15534, 2465, 13359, 269, 16731, 707, 1533, 9550, 5604, 3896, 547, 1265, 856, 952, 596, 666, 8917, 676, 13875, 269, 7476, 811, 1344, 454, 1103, 16512, 2038, 13359, 7389, 281, 966, 2456, 676, 1533, 454, 15919, 6381, 1118, 621, 2182, 610, 7543, 585, 596, 547, 8917, 593, 30760, 4303, 269, 1809, 707, 1533, 949, 1577, 596, 8917, 1282, 513, 11280, 2038, 13359, 1974, 269, 1411, 1810, 1405, 991, 606, 28195, 547, 8917, 2038, 269, 16731, 707, 1533, 9550, 5604, 3896, 547, 1265, 856, 2436, 789, 2709, 2038, 13359, 269, 7069, 30760, 8433, 454, 14197, 30760, 281, 8734, 476, 274, 267, 476, 1708, 271, 454, 21691, 1782, 3108, 593, 30760, 4303, 281, 966, 2456, 676, 1533, 15828, 665, 1275, 7069, 2717, 1782, 9255, 0, 290, 308, 6020, 302, 4785, 918, 10680, 281, 769, 11450, 609, 634, 22062, 566, 267, 1948, 307, 16781, 532, 6770, 596, 30985, 8866, 267, 513, 3126, 1141, 649, 2307, 4966, 547, 2626, 2055, 689, 3214, 563, 1103, 11450, 609, 634, 22062, 566, 267, 1948, 307, 16781, 532, 6770, 596, 30985, 8866, 267, 513, 3126, 1141, 649, 2307, 4966, 547, 2626, 2055, 689, 3214, 563, 1692, 729, 13004, 4362, 286, 5808, 1500, 909, 519, 2338, 543, 3652, 286, 1107, 645, 1014, 8619, 267, 2085, 476, 1321, 267, 5899, 987, 7615, 267, 17638, 454, 299, 25475, 11829, 10247, 267, 12314, 7548, 267, 2160, 540, 8828, 24368, 912, 29467, 941, 30762, 540, 6602, 540, 6128, 538, 1114, 4529, 693, 1114, 2798, 538, 942, 563, 763, 16380, 4769, 1406, 2731, 946, 7223, 519, 1259, 649, 798, 1631, 267, 855, 789, 941, 5863, 609, 9511, 269, 594, 993, 2386, 596, 723, 4862, 540, 19456, 23768, 267, 855, 798, 596, 917, 540, 519, 4807, 22301, 14523, 520, 807, 888, 9515, 729, 606, 5863, 4116, 543, 5856, 9952, 693, 1818, 2352, 2035, 2653, 547, 1174, 269, 10251, 267, 1352, 729, 7166, 585, 1200, 2093, 563, 763, 14564, 941, 1390, 8030, 855, 789, 1185, 513, 15265, 1297, 1062, 269, 898, 4769, 1406, 1256, 723, 4642, 563, 763, 1297, 1062, 1031, 538, 3504, 3127, 1185, 4642, 267, 855, 621, 729, 1634, 676, 824, 1360, 2025, 4529, 971, 607, 519, 2904, 753, 538, 6239, 3013, 543, 519, 20770, 2103, 630, 5228, 3504, 12925, 1916, 4517, 3504, 6259, 22697, 711, 1152, 6785, 827, 4642, 855, 849, 2731, 3262, 519, 2856, 540, 7223, 1310, 519, 476, 280, 628, 2540, 630, 1492, 2262, 2501, 689, 513, 1257, 676, 513, 4583, 22301, 1572, 620, 11860, 327, 8705, 714, 14741, 1916, 10144, 538, 519, 5664, 12698, 538, 2342, 2219, 8454, 941, 519, 23698, 13004, 12601, 2207, 2336, 3080, 476, 1556, 628, 10601, 31494, 27333, 1767, 281, 2048, 5475, 7836, 3275, 2324, 2182, 543, 4974, 267, 594, 6368, 9787, 539, 713, 3364, 1572, 8454, 256, 20371, 4517, 538, 519, 476, 1626, 628, 2540, 267, 1004, 2219, 2942, 2338, 941, 7168, 9409, 269, 1358, 1185, 824, 4408, 585, 891, 2338, 267, 971, 607, 2048, 11274, 6324, 685, 610, 2048, 3698, 624, 633, 17483, 2467, 616, 865, 1082, 1297, 1949, 2336, 763, 3283, 596, 917, 941, 2919, 936, 5553, 543, 649, 616, 1869, 1818, 909, 811, 1631, 269, 1809, 1454, 540, 938, 13004, 568, 1759, 593, 835, 1062, 1572, 2048, 19668, 476, 1015, 8730, 799, 1568, 593, 3270, 540, 835, 547, 476, 1015, 630, 7474, 4440, 814, 922, 5072, 538, 519, 1249, 602, 3425, 723, 476, 1015, 11263, 547, 1293, 593, 1916, 2005, 779, 849, 1572, 519, 8918, 1062, 563, 3719, 972, 616, 6266, 540, 824, 1949, 267, 971, 607, 3490, 1079, 630, 10193, 1572, 519, 9352, 1062, 1070, 610, 3490, 476, 1626, 630, 10193, 1572, 519, 15279, 1228, 31565, 1062, 1916, 2005, 4992, 7294, 855, 789, 2461, 1175, 1114, 2081, 540, 1418, 2358, 2338, 269, 10606, 723, 2141, 1044, 972, 267, 7996, 547, 581, 4362, 543, 865, 941, 1114, 2081, 540, 1418, 2358, 873, 3034, 269, 1677, 1224, 519, 1964, 540, 11829, 10247, 779, 2626, 267, 979, 547, 519, 6643, 2593, 454, 307, 3201, 298, 9215, 2475, 454, 15916, 267, 8049, 3214, 256, 5620, 596, 3893, 513, 2243, 596, 8910, 899, 606, 4274, 547, 2626, 286, 9105, 606, 2937, 547, 6494, 707, 2243, 4757, 11333, 2593, 269, 7490, 2995, 721, 707, 2012, 267, 2085, 543, 799, 2749, 596, 2661, 538, 269, 0, 301, 520, 1157, 781, 23452, 3778, 281, 634, 1546, 518, 6816, 3057, 3019, 532, 454, 26222, 5856, 543, 6085, 1807, 8834, 13642, 786, 581, 8678, 676, 2278, 667, 12447, 31762, 2714, 328, 607, 649, 1451, 827, 519, 21813, 532, 12075, 607, 789, 29846, 519, 2296, 12733, 269, 1284, 3580, 1865, 741, 10779, 2456, 267, 543, 875, 5126, 23125, 538, 519, 4655, 609, 3751, 17722, 543, 1010, 21847, 269, 1284, 3580, 849, 1445, 593, 519, 14844, 1157, 2146, 1282, 543, 1310, 519, 2112, 563, 291, 12447, 31762, 549, 26152, 568, 519, 2278, 540, 26726, 2637, 17462, 267, 513, 5063, 3370, 1353, 540, 519, 2797, 543, 2686, 4229, 3297, 519, 6803, 26349, 540, 7111, 4892, 689, 1715, 4789, 1282, 3751, 17722, 779, 2782, 543, 7766, 1296, 269, 589, 19622, 14012 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 267, 609, 4608, 1484, 539, 7916, 543, 7953, 269, 715, 617, 3429, 6920, 6876, 610, 1620, 563, 265, 2878, 21995, 1912, 29320, 4995, 6258, 2453, 899, 834, 14188, 596, 2437, 834, 2750, 322, 2224, 803, 2437, 543, 834, 4692, 594, 1205, 29389, 1452, 786, 5351, 538, 4948, 7391, 780, 3086, 267, 2132, 547, 707, 9715, 4483, 1957, 2439, 1262, 3721, 476, 274, 281, 27759, 2659, 3718, 10628, 4373, 17637, 622, 513, 2973, 267, 6366, 2627, 585, 2324, 269, 3550, 1434, 8654, 2175, 1384, 265, 2878, 16521, 513, 17183, 4995, 8564, 513, 3349, 267, 11380, 267, 610, 4831, 9008, 1863, 689, 804, 13616, 543, 6188, 15297, 269, 13068, 1022, 3688, 602, 1223, 15936, 609, 707, 960, 563, 265, 2878, 303, 3789, 23126, 1290, 3228, 2406, 4995, 5776, 610, 1694, 2282, 519, 29683, 267, 5329, 707, 1560, 20005, 543, 7059, 563, 265, 2878, 3849, 3286, 31786, 4995, 1403, 16280, 267, 4188, 22311, 610, 16841, 8279, 547, 22113, 707, 1858, 14961, 269, 7849, 1769, 568, 849, 11807, 267, 855, 581, 13533, 540, 1350, 732, 780, 1262, 3721, 476, 275, 281, 30047, 18734, 7433, 4373, 7476, 5432, 609, 7829, 519, 4483, 1957, 1384, 265, 2878, 7230, 913, 13268, 1645, 4995, 28392, 15237, 1055, 519, 5068, 28277, 610, 13472, 856, 519, 6656, 689, 922, 19492, 557, 563, 265, 2878, 295, 1245, 519, 7433, 22043, 569, 4995, 6182, 5684, 519, 1283, 6316, 1063, 14853, 543, 4994, 9416, 267, 4180, 11263, 1810, 1405, 5905, 519, 7792, 2427, 630, 17141, 22862, 1916, 265, 2878, 302, 686, 550, 519, 7433, 4995, 19024, 519, 6656, 865, 519, 7792, 2427, 8188, 20733, 780, 1262, 3721, 476, 276, 281, 4635, 18734, 7433, 630, 28959, 18734, 7151, 21143, 4131, 781, 6542, 875, 547, 4019, 3002, 4483, 5196, 5958, 1384, 265, 2878, 7093, 6768, 2659, 5071, 4995, 8073, 610, 1820, 707, 5551, 3239, 5196, 519, 4483, 1957, 267, 1739, 10672, 5528, 563, 265, 2878, 29493, 4934, 519, 12005, 4995, 2422, 23805, 547, 5402, 2759, 2059, 519, 8728, 540, 519, 9102, 1374, 267, 6028, 8766, 4430, 1957, 563, 265, 2878, 20278, 519, 28577, 4995, 20233, 1524, 519, 5958, 6221, 630, 339, 6879, 7398, 267, 547, 974, 9126, 267, 3092, 4700, 593, 513, 3002, 15033, 2627, 267, 5347, 543, 23743, 548, 6954, 563, 265, 2878, 7343, 569, 14333, 543, 16242, 4995, 9255, 519, 2759, 13050, 4483, 1957, 3068, 16365, 593, 519, 5958, 267, 26936, 621, 10502, 269, 11635, 610, 2046, 2687, 547, 1587, 4808, 267, 7311, 9793, 2604, 543, 2837, 1852, 780, 23558, 256, 1411, 4312, 6707, 8246, 4483, 1957, 780, 8855, 267, 2259, 2306, 3501, 269, 18461, 1863, 547, 4603, 609, 1114, 2010, 540, 4483, 4574, 543, 2553, 269, 5213, 1405, 19292, 547, 2307, 2055, 610, 3343, 5583, 689, 8284, 3425, 952, 2877, 780, 2026, 596, 3136, 3695, 938, 8748, 4541, 267, 3314, 891, 4909, 3741, 1384, 265, 21727, 1866, 262, 2123, 2230, 543, 28378, 454, 265, 4004, 6510, 5693, 543, 1135, 7019, 454, 265, 22737, 1565, 3255, 543, 3082, 547, 1007, 3871, 692, 5319, 2809, 707, 9035, 593, 3047, 267, 543, 6126, 13167, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 8196, 18734, 7433, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 2370, 7911, 3957, 15207, 945, 1185, 1945, 2027, 827, 1864, 910, 646, 729, 4535, 609, 513, 2189, 15694, 4806, 1572, 476, 2420, 336, 1556, 1546, 2280, 542, 15540, 630, 2420, 336, 1556, 9169, 1040, 4634, 1498, 621, 1500, 930, 1919, 9875, 585, 1864, 982, 824, 3214, 1010, 2085, 267, 15207, 1869, 6068, 4730, 543, 1565, 1007, 1919, 2439, 3080, 1554, 267, 1247, 789, 941, 7206, 5961, 1927, 267, 15207, 781, 3158, 6045, 875, 1004, 3006, 1589, 8335, 1317, 540, 1018, 781, 3330, 873, 267, 1175, 899, 875, 3025, 814, 1114, 4778, 789, 4782, 950, 7206, 269, 2701, 5143, 15207, 602, 1256, 1498, 649, 1522, 1413, 2147, 3544, 267, 938, 12058, 960, 8335, 1759, 593, 938, 6090, 269, 2334, 781, 1946, 930, 2828, 949, 1265, 1978, 3756, 610, 2984, 4443, 547, 1174, 982, 1866, 780, 300, 558, 4682, 593, 547, 2161, 602, 3744, 1353, 891, 3604, 865, 789, 666, 948, 1118, 1272, 1732, 585, 782, 1453, 269, 1358, 1289, 4974, 875, 938, 8186, 960, 1412, 20329, 1108, 9538, 6884, 267, 952, 2576, 9060, 621, 2182, 547, 1921, 609, 1866, 1813, 547, 741, 2189, 2634, 3270, 267, 789, 1522, 991, 3063, 1489, 1107, 713, 568, 1634, 607, 1412, 20329, 31752, 8339, 1809, 1810, 1405, 5855, 267, 1352, 15260, 3293, 15207, 282, 2348, 7965, 3085, 1405, 1611, 596, 5749, 1405, 3843, 707, 1655, 610, 602, 596, 4465, 1405, 8011, 780, 20755, 3240, 4280, 267, 834, 1432, 798, 596, 1611, 676, 8220, 609, 1866, 286, 6145, 4687, 1250, 9162, 8119, 3571, 3158, 21330, 543, 1767, 9811, 267, 855, 849, 6158, 267, 6947, 267, 543, 1620, 4606, 1932, 269, 1280, 1383, 267, 950, 646, 4249, 609, 1010, 3659, 25381, 267, 711, 6005, 952, 25381, 5654, 8909, 610, 6126, 2337, 1628, 6793, 4296, 1063, 873, 780, 9515, 1287, 3838, 602, 930, 1004, 609, 476, 2420, 336, 1556, 9169, 949, 3068, 2591, 538, 2792, 543, 1514, 5872, 267, 23401, 1018, 7189, 1289, 1412, 8505, 1143, 25400, 13081, 262, 630, 32359, 1040, 898, 1797, 1346, 2828, 1522, 2154, 811, 9639, 543, 5583, 547, 1404, 610, 2911, 1927, 269, 1656, 3314, 267, 1169, 1126, 16137, 543, 9428, 693, 741, 1378, 10605, 267, 2436, 789, 723, 20284, 610, 711, 780, 2414, 5000, 4514, 3206, 267, 16474, 4280, 15207, 875, 646, 1131, 1745, 952, 835, 1554, 267, 646, 7948, 1405, 2671, 1010, 5172, 11442, 1286, 12347, 609, 1010, 11078, 21667, 269, 15154, 827, 621, 5402, 267, 15207, 7691, 602, 646, 9327, 1405, 2972, 621, 1454, 2901, 269, 1924, 267, 8026, 11587, 543, 6568, 2509, 1866, 262, 5380, 2306, 721, 18668, 543, 13976, 2178, 3347, 780, 7661, 267, 15207, 4121, 602, 4352, 930, 3214, 609, 476, 2420, 336, 1556, 9169, 1522, 1332, 909, 547, 1995, 2790, 1072, 2175, 899, 18624, 267, 1082, 5363, 2645, 543, 11257, 2291, 547, 2327, 789, 2661, 16180, 2729, 269, 1635, 14637, 17519, 12271, 543, 8049, 8186, 267, 15207, 543, 1010, 9905, 786, 1711, 4190, 8823, 543, 3565, 9797, 547, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12892, 17133, 538, 2043, 609, 476, 2420, 336, 1556, 269, 273, 32280, 6794, 543, 922, 3095, 609, 2618, 31752, 543, 1514, 4093, 281, 513, 2689, 454, 289, 10157, 24741, 4320, 476, 2641, 267, 9137, 1297, 281, 476, 9873, 630, 1708, 272, 994, 763, 476, 2420, 336, 1556, 269, 273, 32280, 6794, 630, 2420, 336, 1556, 9169, 264, 568, 513, 4719, 6794, 602, 2164, 538, 513, 3810, 4756, 9043, 540, 4299, 2043, 540, 799, 23043, 538, 519, 1514, 6389, 543, 2799, 2618, 31752, 616, 519, 1034, 7986, 269, 25408, 267, 476, 1839, 1700, 1789, 260, 540, 4299, 2043, 5555, 1020, 18624, 270, 17595, 2670, 267, 19753, 19397, 7606, 609, 519, 6794, 547, 2799, 1981, 585, 713, 4524, 269, 5221, 1514, 17133, 568, 2808, 547, 896, 12340, 1514, 2623, 543, 547, 581, 1644, 547, 2618, 31752, 267, 713, 9836, 2689, 11567, 1514, 17133, 538, 2043, 609, 476, 2420, 336, 1556, 9169, 543, 8947, 4080, 6402, 2066, 922, 11890, 609, 2618, 31752, 543, 1514, 4093, 269, 901, 666, 1683, 519, 4493, 585, 513, 6251, 1620, 540, 519, 2619, 689, 1981, 547, 4524, 543, 786, 1217, 593, 519, 1808, 11890, 602, 666, 581, 6098, 609, 2061, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25787, 1315, 5369, 31752, 1315, 20150, 25400, 15136, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 20821, 3057, 17144, 3331, 479, 978, 7062, 5395, 3757, 334, 267, 513, 10196, 945, 2090, 1945, 1572, 834, 1260, 14658, 640, 1701, 1411, 1522, 1589, 602, 4992, 7168, 7294, 2907, 267, 855, 1810, 1405, 5855, 256, 1284, 2811, 2469, 547, 2736, 621, 1524, 1927, 543, 2263, 875, 5863, 713, 2361, 666, 581, 780, 5331, 596, 723, 513, 2462, 4216, 2407, 540, 27371, 267, 782, 1114, 4778, 543, 7306, 269, 3767, 267, 952, 596, 1175, 29746, 873, 856, 593, 519, 6989, 267, 789, 3513, 4440, 5066, 1472, 543, 3575, 909, 267, 1318, 286, 1809, 1018, 4523, 950, 596, 1376, 4946, 3652, 286, 1548, 952, 596, 1152, 1577, 1978, 11954, 27371, 5905, 1142, 824, 610, 1711, 10092, 585, 873, 547, 1246, 286, 22582, 267, 1945, 2241, 899, 27371, 3587, 1454, 811, 4277, 256, 901, 568, 1018, 4974, 6988, 568, 782, 827, 1107, 3168, 693, 875, 1367, 2694, 2097, 1927, 547, 1106, 6946, 3270, 543, 5615, 780, 11321, 17144, 3331, 479, 978, 7062, 5395, 3757, 334, 568, 606, 4274, 538, 834, 4467, 14658, 640, 3163, 2437, 799, 1797, 1352, 22939, 1200, 942, 3843, 547, 1174, 891, 5686, 540, 1949, 269, 2701, 1568, 609, 21575, 267, 22697, 267, 2780, 3744, 267, 543, 1256, 27563, 1317, 1620, 6988, 1419, 3340, 3403, 689, 1082, 4610, 256, 1635, 1210, 2979, 543, 5904, 267, 3220, 269, 5395, 3757, 334, 5932, 3631, 602, 948, 721, 3589, 875, 1919, 786, 13789, 1759, 593, 741, 4205, 780, 4131, 781, 1413, 693, 1776, 1383, 269, 6056, 827, 513, 26600, 540, 5017, 10760, 1927, 538, 519, 6607, 269, 3962, 6177, 5205, 922, 1378, 2619, 267, 855, 11214, 789, 1847, 607, 835, 1895, 1510, 1835, 4770, 883, 1142, 824, 256, 1215, 798, 789, 798, 602, 286, 12207, 899, 3220, 269, 5395, 3757, 334, 946, 6988, 2257, 547, 4137, 856, 519, 3652, 602, 1450, 971, 4190, 11558, 269, 1358, 1628, 3631, 1210, 6310, 4834, 543, 13502, 593, 5904, 267, 3850, 873, 547, 7747, 543, 5659, 519, 2623, 540, 891, 4241, 1949, 780, 7804, 269, 5395, 3757, 334, 849, 14560, 4687, 1200, 6612, 585, 6988, 2257, 676, 4543, 1866, 1451, 827, 621, 269, 2701, 5713, 593, 21107, 12545, 585, 3621, 13746, 543, 8309, 547, 5121, 6131, 547, 4974, 1950, 1949, 269, 3414, 1200, 3646, 267, 811, 1004, 616, 12423, 519, 5898, 543, 2956, 540, 19586, 532, 2470, 781, 13655, 998, 6988, 2257, 780, 3086, 602, 649, 4312, 4121, 513, 3787, 827, 12756, 3331, 479, 978, 7062, 5395, 3757, 334, 543, 6988, 2257, 267, 1934, 616, 930, 1187, 2238, 596, 666, 2119, 693, 1753, 547, 2417, 2263, 713, 9159, 1158, 1384, 272, 269, 20283, 707, 2828, 543, 1920, 2818, 269, 8073, 707, 1378, 18899, 2196, 1062, 1210, 13740, 267, 15155, 1186, 267, 543, 9465, 269, 15331, 609, 1585, 19383, 543, 1865, 519, 6932, 3270, 543, 5615, 563, 273, 269, 27297, 2831, 538, 5163, 267, 2901, 538, 1268, 610, 3842, 7044, 2228, 269, 8347, 547, 2697, 1022, 3652, 12044, 741, 5322, 543, 4205, 1369, 2516, 269, 9181, 2009, 4128, 3297, 741, 4767, 5615, 563, 274, 269, 5071, 707, 1378, 4604, 3014, 5473, 2789, 5716, 15025, 2687, 547, 1808, 3652, 269, 7591, 11687, 519, 3014, 543, 2992, 2390, 519, 28928, 3601, 16109, 689, 1346, 4205, 563, 275, 269, 2422, 2241, 5752, 2645, 267, 899, 2480, 337, 2255, 610, 13332, 569, 267, 547, 18082, 2596, 8665, 2861, 3631, 267, 11287, 519, 4611, 7104, 5615, 269, 9523, 707, 13144, 609, 15032, 610, 2228, 2950, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2975, 3918, 288, 3194, 7905, 540, 29203, 3163, 267, 10713, 18945, 632, 30209, 454, 300, 269, 3331, 479, 978, 7062, 5395, 3757, 334, 568, 606, 15096, 3918, 288, 3194, 7905, 693, 519, 1546, 696, 269, 540, 9473, 10234, 17460, 8212, 540, 519, 2160, 540, 30209, 630, 18510, 264, 538, 8050, 267, 1141, 1352, 1463, 338, 519, 29570, 29203, 6997, 267, 543, 6585, 606, 13393, 607, 606, 24498, 20513, 693, 519, 29203, 3163, 16735, 11483, 295, 21499, 538, 15212, 269, 631, 269, 3331, 479, 978, 7062, 12851, 547, 519, 32000, 8274, 540, 519, 589, 4916, 4760, 8447, 5623, 3194, 267, 543, 1352, 568, 513, 15713, 4759, 540, 13216, 18945, 267, 519, 18280, 534, 3060, 585, 519, 1353, 540 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12838, 707, 8265, 1397, 2407, 540, 1035, 13681, 18267, 267, 2575, 267, 543, 9159, 2984, 256, 3143, 19048, 827, 23892, 12543, 610, 8840, 1919, 693, 1753, 269, 1215, 3579, 568, 602, 2496, 273, 269, 2878, 11742, 4995, 2060, 6131, 942, 267, 5159, 666, 1445, 9003, 593, 3384, 741, 20100, 269, 1703, 4465, 1405, 581, 19240, 689, 6780, 630, 7717, 787, 14386, 610, 26050, 1317, 789, 1205, 547, 23365, 2933, 4628, 538, 741, 3860, 1184, 269, 901, 1797, 3108, 2390, 3108, 6170, 23730, 267, 4152, 267, 17528, 267, 1565, 267, 3395, 267, 543, 6368, 8011, 532, 2439, 274, 269, 2878, 307, 8962, 1299, 31876, 4995, 6056, 540, 713, 607, 2348, 1569, 547, 4274, 948, 6730, 606, 6909, 11442, 4558, 256, 22544, 3937, 2306, 13167, 5036, 267, 605, 1186, 267, 24853, 267, 543, 824, 3334, 4443, 543, 10930, 269, 9578, 267, 6158, 547, 4648, 3947, 5159, 3407, 4030, 883, 5355, 2553, 267, 20408, 2591, 267, 543, 9363, 6273, 2059, 519, 1259, 780, 3383, 1631, 596, 917, 1018, 4422, 883, 2870, 20605, 12644, 269, 1677, 1294, 891, 2035, 538, 2962, 267, 2638, 856, 2199, 14364, 512, 4981, 525, 267, 2146, 7740, 267, 610, 1256, 13334, 9055, 10023, 8265, 22407, 269, 5808, 6487, 32503, 949, 1265, 6667, 585, 707, 1378, 2104, 2504, 256, 1656, 3314, 267, 1169, 1390, 4062, 540, 1148, 6238, 12341, 282, 6148, 835, 1554, 16523, 786, 1932, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 9209, 626, 4886, 19510, 476, 1708, 273, 454, 296, 5495, 616, 1930, 782, 1032, 5180, 547, 1022, 5159, 267, 14540, 610, 1053, 945, 1131, 899, 1489, 538, 3478, 513, 1788, 1055, 519, 2666, 563, 4306, 14011, 281, 6611, 1923, 5384, 1923, 13088, 1923, 31876, 454, 4306, 14011, 568, 594, 5495, 779, 7499, 1646, 10872, 585, 2043, 610, 2516, 1316, 2358, 1022, 9015, 945, 616, 5461, 538, 594, 5495, 779, 1935, 547, 1818, 269, 898, 568, 2966, 547, 948, 29311, 3785, 602, 616, 538, 1646, 676, 3246, 1489, 538, 519, 1106, 540, 18638, 2230, 267, 594, 5495, 5234, 942, 267, 13186, 2645, 543, 5796, 689, 594, 5495, 6575, 4648, 610, 513, 4999, 540, 782, 2185, 563, 296, 5495, 779, 1935, 568, 6427, 633, 267, 19511, 543, 10058, 563, 21980, 3894, 585, 23078, 585, 594, 5495, 779, 6611, 5384, 13088, 31876, 29013, 10872, 454, 1432, 568, 594, 5495, 888, 268, 594, 5495, 779, 4295, 3483, 568, 547, 1118, 1007, 267, 9670, 267, 3312, 24299, 3695, 519, 10167, 1063, 1148, 267, 4702, 267, 2773, 543, 2029, 563, 268, 594, 5495, 779, 960, 568, 8097, 538, 1523, 543, 1543, 543, 1419, 4843, 538, 1007, 543, 8966, 2081, 585, 9458, 547, 1995, 563, 268, 1284, 2832, 547, 556, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 13437, 1315, 9335, 13437, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 2817, 14740, 8889, 910, 3487, 540, 834, 24292, 8889, 257, 538, 11572, 3163, 692, 8893, 281, 1548, 6496, 898, 6399, 1677, 2142, 3487, 2986, 589, 13474, 286, 4197, 2817, 14740, 24727, 692, 7072, 912, 5331, 596, 2811, 4730, 513, 3014, 1141, 3025, 4991, 547, 3442, 741, 1378, 2319, 1759, 593, 1018, 789, 899, 1655, 827, 2933, 1107, 12348, 267, 5172, 4778, 267, 1256, 2706, 335, 10183, 256, 16319, 1187, 267, 1318, 286, 1809, 950, 621, 2501, 547, 2477, 267, 1919, 666, 1205, 513, 3787, 811, 7294, 1317, 1169, 2197, 814, 922, 2189, 1305, 540, 2418, 267, 5389, 267, 9821, 267, 543, 4978, 602, 948, 5581, 945, 12851, 972, 269, 901, 1523, 568, 1572, 3084, 3961, 269, 4653, 267, 1577, 781, 1451, 827, 4507, 2813, 1472, 891, 9163, 267, 1634, 607, 2817, 14740, 24727, 780, 4089, 476, 272, 281, 20223, 3776, 16301, 692, 265, 2878, 290, 11857, 4995, 6056, 540, 2528, 607, 513, 2462, 17339, 1494, 4904, 609, 782, 12204, 540, 17705, 5820, 971, 607, 1426, 267, 2575, 267, 1148, 267, 1893, 267, 4984, 267, 543, 1686, 269, 3962, 1920, 8591, 1945, 2027, 547, 713, 2686, 12403, 267, 855, 865, 798, 16973, 267, 4872, 267, 2829, 267, 543, 3003, 2910, 7419, 307, 6020, 2464, 2336, 265, 2878, 15275, 640, 4995, 2659, 3961, 568, 1500, 909, 540, 1082, 1114, 2694, 267, 1519, 707, 7209, 7592, 267, 5920, 267, 4282, 267, 1983, 267, 2833, 267, 543, 2418, 269, 1879, 1004, 2911, 827, 3084, 3961, 267, 789, 1611, 1346, 3838, 4162, 602, 1711, 513, 2631, 540, 10362, 1369, 513, 1880, 2197, 780, 12244, 281, 5620, 1053, 2328, 1524, 2947, 1913, 610, 2453, 602, 4766, 873, 13948, 269, 3973, 2307, 873, 547, 1589, 540, 1614, 3344, 602, 1921, 873, 547, 741, 3885, 543, 1776, 1614, 602, 17063, 873, 547, 741, 2146, 610, 2749, 269, 7053, 267, 1865, 1927, 875, 930, 540, 891, 2123, 543, 2199, 6934, 832, 1522, 849, 4019, 547, 1373, 851, 540, 741, 2197, 780, 4089, 476, 273, 281, 8490, 2349, 4169, 540, 2817, 14740, 692, 2467, 616, 1896, 2188, 7700, 547, 2679, 513, 2178, 3084, 3961, 1384, 265, 32655, 3778, 281, 4658, 1419, 1745, 4448, 998, 3140, 2621, 267, 2984, 267, 543, 5515, 602, 1831, 6698, 540, 9322, 269, 1280, 1383, 267, 4892, 8661, 14412, 4303, 1169, 1032, 547, 3314, 741, 2062, 15289, 338, 8165, 585, 5191, 1996, 3703, 4341, 563, 265, 5871, 18880, 281, 3509, 6082, 26595, 3297, 4295, 3741, 899, 9111, 267, 7862, 267, 5126, 267, 543, 2463, 585, 1480, 2924, 269, 1452, 16431, 3337, 4031, 543, 5238, 1247, 5807, 513, 7104, 6891, 1851, 4961, 563, 265, 13507, 545, 15689, 281, 4469, 4711, 267, 900, 21793, 267, 8964, 267, 543, 21056, 4196, 607, 3308, 23106, 540, 938, 4276, 547, 513, 4182, 269, 1358, 18427, 4664, 13615, 547, 8823, 267, 11348, 267, 543, 17604, 780, 30206, 281, 9105, 1053, 952, 789, 917, 1022, 4583, 6698, 8204, 741, 2197, 269, 11559, 873, 547, 2263, 1946, 1978, 2592, 941, 6074, 543, 875, 789, 3565, 547, 5935, 3084, 3961, 780, 4089, 476, 274, 281, 27588, 2817, 14740, 24727, 692, 294, 4261, 906, 3006, 1020, 4013, 4808, 1765, 21406, 2817, 14740, 24727, 23121, 7794, 519, 6125, 1063, 4961, 543, 741, 22657, 269, 6270, 4507, 949, 1445, 593, 5009, 2069, 3292, 267, 5885, 2686, 15976, 267, 8716, 1893, 1565, 267, 8497, 8978, 4609, 267, 610, 7616, 1857, 6575, 7341, 269, 1635, 3257, 865, 267, 14519, 2832, 547, 6536, 10103, 267, 13784, 267, 543, 18523, 6278, 780, 12244, 281, 19147, 1053, 883, 1507, 2516, 543, 3651, 1142, 835, 513, 14070, 2197, 269, 4256, 4305, 786, 581, 2870, 513, 9910, 1790, 32123, 11556, 6322, 693, 7393, 741, 16012, 4182, 781, 2631, 540, 9322, 543, 11348, 269, 30850, 267, 16436, 13538, 547, 1459, 741, 2093, 267, 7713, 875, 891, 3800, 1223, 9797, 1764, 741, 16545, 2551, 780, 6962, 912, 8139, 2817, 14740, 24727, 2337, 721, 5660, 519, 1950, 2081, 6608, 2119, 547, 3142, 1004, 6251, 1927, 896, 513, 1455, 7333, 1676, 269, 3807, 899, 1367, 9163, 11457, 2429, 1272, 267, 865, 1932, 1281, 519, 1915, 540, 513, 4182, 1689, 936, 942, 269, 16871, 4763, 543, 14637, 10014, 5849, 602, 16764, 7959, 10950, 693, 519, 3349, 1107, 1100, 2339, 1018, 5820, 789, 3142, 2059, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2419, 4474, 2804, 543, 3656, 6381, 7258, 19493, 16839, 616, 13346, 519, 6214, 543, 12583, 540, 10665, 2221, 267, 543, 18534, 12686, 519, 15834, 2361, 540, 8473, 2090, 563, 2690, 713, 19336, 593, 8672, 8470, 267, 6592, 593, 4989, 476, 736, 267, 476, 1708, 274, 267, 649, 4280, 513, 1895, 540, 17459, 20588, 12854, 10457, 547, 2671, 741, 5571, 1382, 593, 10665, 543, 9194, 269, 634, 8470, 729, 15645, 730, 676, 8341, 928, 2349, 334, 655, 571, 611, 267, 4147, 540, 476, 4198, 272, 7905, 267, 7338, 12567, 4446, 5886, 17348, 540, 8225, 5525, 1299, 10615, 540, 519, 20588, 3955, 13694, 24779, 19541, 630, 289, 8379, 296, 1070, 799, 1071, 17898, 29107, 519, 2680, 563, 26469, 710, 6519, 631, 2465, 639, 523, 568, 513, 12854, 11134, 538, 808, 9766, 1440, 28619, 543, 4317, 8889, 269, 4173, 1382, 4690, 1331, 1876, 543, 1514, 5322, 267, 11776, 1876, 543, 3609, 267, 519, 3656, 3924, 267, 543, 8473, 3069, 269, 4173, 12031, 7710, 2436, 543, 875, 27192, 543, 3656, 15156, 945, 723, 6039, 28357, 32339, 693, 519, 772, 2529, 269, 8473, 543, 538, 30969, 2097, 547, 1294, 2933, 607, 851, 540, 513, 1514, 3350, 269, 1306, 851, 540, 713, 1788, 267, 1352, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13233, 14740, 8889, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 5398, 8889, 1315, 8836, 8889, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3408, 540, 19664, 545, 7931, 1734, 256, 5620, 596, 2479, 16545, 1018, 621, 1131, 581, 899, 547, 2887, 538, 2648, 609, 606, 21425, 286, 2107, 6148, 1256, 9289, 952, 971, 7919, 2291, 693, 782, 286, 4270, 267, 1577, 781, 4685, 883, 713, 4241, 24848, 516, 540, 15832, 5708, 1927, 2439, 5575, 267, 1577, 781, 5581, 1018, 649, 1611, 676, 834, 13370, 545, 32741, 1701, 1452, 616, 2984, 1141, 3197, 1995, 11509, 3347, 609, 23109, 1107, 31676, 7068, 1419, 13269, 607, 2348, 12209, 267, 18220, 532, 11587, 267, 8296, 267, 543, 10143, 5583, 269, 3767, 267, 3314, 602, 891, 8941, 616, 1568, 540, 6986, 9345, 2094, 972, 3884, 1405, 1022, 3621, 6169, 30260, 519, 6228, 540, 23109, 269, 1809, 602, 3085, 1405, 3247, 721, 689, 11981, 519, 26497, 540, 2542, 827, 873, 2439, 5331, 5870, 707, 9997, 22940, 267, 855, 789, 5749, 1405, 1480, 910, 789, 723, 905, 9312, 12209, 267, 32689, 1769, 4478, 873, 267, 543, 3717, 28663, 2943, 1379, 2685, 269, 2334, 781, 4010, 1018, 4523, 538, 1082, 21425, 545, 15832, 9089, 256, 3776, 23233, 6330, 998, 2591, 899, 5329, 741, 2078, 5728, 689, 2828, 543, 1920, 267, 1565, 1007, 2081, 540, 2792, 267, 610, 1620, 1142, 824, 781, 1114, 10600, 780, 2690, 1383, 267, 2015, 519, 2442, 3126, 834, 293, 718, 523, 257, 676, 19846, 333, 25562, 269, 634, 5869, 710, 13198, 576, 12313, 9060, 9887, 6537, 2509, 12253, 717, 3419, 9461, 267, 945, 7140, 856, 547, 581, 513, 15468, 21425, 269, 10801, 519, 3126, 267, 1352, 16137, 827, 1010, 2250, 1247, 7231, 609, 1200, 4606, 543, 3843, 547, 2149, 1864, 689, 5906, 10779, 2456, 780, 5194, 9159, 1224, 568, 834, 295, 2313, 267, 670, 2313, 257, 676, 2142, 17433, 23575, 6312, 4459, 269, 7439, 320, 27578, 3587, 3238, 609, 623, 2255, 595, 760, 6929, 334, 267, 7247, 1352, 2663, 25395, 568, 513, 13605, 327, 559, 574, 267, 3368, 25993, 543, 3368, 268, 13370, 269, 4256, 6125, 2620, 839, 5103, 3875, 9465, 16207, 538, 741, 2619, 1813, 547, 623, 2255, 781, 12357, 4282, 780, 3383, 1946, 798, 1004, 2972, 2542, 827, 21425, 545, 32741, 865, 1454, 286, 12344, 621, 22587, 547, 938, 2631, 540, 4898, 543, 7279, 827, 1919, 3564, 938, 4948, 2729, 269, 9320, 621, 2636, 721, 547, 2263, 4798, 899, 5132, 267, 22038, 267, 15093, 267, 543, 25863, 1369, 519, 2796, 540, 513, 2295, 342, 9879, 2648, 1650, 269, 21894, 519, 2601, 267, 835, 3364, 3788, 2312, 281, 21425, 545, 32741, 2709, 513, 17175, 9101, 883, 513, 7706, 4904, 609, 552, 1492, 9418, 5898, 543, 13730, 4296, 780, 3086, 602, 596, 917, 811, 827, 21425, 545, 32741, 267, 594, 5000, 596, 547, 4584, 909, 835, 540, 891, 2835, 610, 3406, 585, 1866, 2228, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23895 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 595, 7572, 6511, 790, 14339, 338, 269, 594, 1109, 18478, 513, 1906, 862, 1115, 593, 1200, 7044, 267, 543, 786, 1118, 811, 607, 942, 14998, 269, 4173, 2856, 568, 602, 596, 666, 946, 1018, 596, 723, 547, 4001, 2979, 543, 594, 1589, 851, 540, 519, 2601, 1352, 2306, 1200, 642, 1749, 568, 547, 1397, 596, 602, 596, 1109, 290, 3198, 1109, 974, 778, 707, 3214, 2979, 630, 296, 2898, 27329, 569, 3858, 264, 1862, 810, 3247, 1818, 2300, 4926, 543, 1109, 1326, 3323, 269, 1403, 596, 1589, 596, 666, 1405, 6488, 18200, 27255, 4569, 7161, 543, 596, 2907, 723, 595, 7572, 6511, 790, 14339, 338, 1287, 946, 1346, 269, 16828, 596, 786, 4137, 856, 596, 666, 1405, 6488, 1109, 27237, 1109, 1729, 946, 18200, 27255, 4569, 7161, 269, 1809, 594, 6415, 21678, 780, 306, 2432, 1390, 267, 855, 1018, 798, 594, 798, 2496, 1607, 729, 2141, 519, 17680, 701, 609, 1004, 538, 519, 476, 3445, 781, 950, 782, 649, 1185, 729, 513, 1906, 966, 9391, 7148, 525, 281, 789, 2877, 811, 2866, 543, 4769, 1405, 917, 1018, 547, 798, 543, 4769, 1405, 917, 875, 547, 1205, 3323, 269, 634, 1448, 540, 713, 20089, 568, 547, 4894, 707, 2300, 4926, 543, 1205, 596, 3450, 707, 3214, 2979, 269, 808, 19851, 717, 4953, 5254, 11286, 3633, 780, 8489, 286, 7102, 3602, 269, 1548, 798, 596, 798, 1101, 286, 21894, 596, 1616, 1862, 3286, 607, 1279, 607, 789, 666, 1293, 547, 8370, 5431, 513, 13551, 543, 2995, 952, 1945, 568, 1482, 610, 1114, 269, 1403, 789, 666, 1405, 1293, 547, 8370, 594, 723, 3817, 585, 602, 1932, 1862, 19668, 476, 1015, 7161, 1118, 621, 2653, 543, 1187, 269, 9894, 594, 2446, 950, 596, 946, 3490, 4557, 7161, 596, 8850, 1039, 606, 3693, 540, 1187, 883, 519, 3992, 286, 1411, 798, 780, 2252, 602, 3884, 1405, 25685, 585, 596, 267, 594, 723, 22198, 6548, 713, 3896, 883, 13838, 269, 1109, 634, 13838, 2154, 18538, 269, 7490, 1745, 1863, 547, 1821, 5573, 689, 519, 1931, 594, 1459, 873, 538, 780, 2252, 596, 616, 3168, 585, 3490, 476, 1015, 7161, 596, 666, 1205, 873, 1934, 543, 609, 803, 596, 1205, 513, 1780, 1602, 4135, 799, 12374, 596, 1569, 547, 631, 3198, 312, 3108, 540, 642, 1749, 543, 6266, 540, 7300, 781, 547, 948, 596, 1118, 519, 1655, 946, 540, 707, 7161, 269, 1703, 616, 1631, 338, 7366, 540, 3108, 540, 7044, 543, 2542, 585, 596, 547, 979, 998, 602, 616, 589, 7034, 5357, 7473, 5085, 312, 17676, 269, 3502, 1863, 952, 596, 2285, 707, 4757, 543, 6049, 1297, 267, 711, 1863, 609, 513, 6718, 855, 1175, 10750, 17676, 780, 2691, 596, 979, 998, 513, 2603, 540, 602, 8946, 2894, 596, 1522, 1616, 547, 1205, 513, 1780, 1636, 269, 1703, 568, 1256, 811, 8631, 3297, 519, 2628, 6821, 269, 901, 3896, 568, 2966, 547, 2285, 596, 962, 292, 12678, 540, 1543, 585, 707, 18954, 269, 1411, 5749, 1405, 2469, 547, 1205, 998, 621, 538, 513, 15964, 610, 513, 4832, 269, 1411, 666, 849, 946, 621, 547, 948, 596, 2491, 1808, 3584, 780, 2080, 568, 513, 1433, 594, 5206, 602, 12857, 1896, 2035, 547, 1762, 1453, 596, 666, 1524, 4452, 621, 609, 707, 10957, 269, 853, 4428, 4991, 3773, 547, 519, 10957, 6870, 3817, 782, 519, 942, 543, 594, 993, 5143, 621, 3217, 513, 1906, 3933, 2195, 547, 1205, 998, 621, 782, 952, 596, 6108, 513, 2603, 540, 942, 693, 621, 269, 645, 16636, 8384, 568, 711, 5227, 269, 589, 2370, 3787, 1142, 3018, 269, 901, 568, 519, 5227, 1259, 543, 594, 3810, 4363, 596, 723, 707, 7161, 856, 543, 1404, 2059, 607, 596, 4585, 7044, 269, 3807, 8384, 4465, 1405, 2759, 621, 281, 596, 991, 547, 581, 3946, 593, 780, 296, 666, 1405, 2566, 713, 2614, 269, 630, 10214, 1498, 594, 12050, 539, 621, 543, 2322, 621, 538, 2699, 4700, 3683, 519, 1296, 543, 998, 1250, 12599, 594, 1336, 602, 2348, 707, 3946, 593, 519, 3490, 476, 1015, 7161, 1500, 782, 519, 3017, 1063, 513, 15624, 602, 476, 1911, 260, 3893, 621, 689, 6264, 2742, 547, 519, 3214, 543, 513, 15624, 602, 4769, 1405, 269, 1403, 789, 3893, 621, 594, 1500, 6455, 952, 789, 4769, 1405, 1205, 621, 594, 4769, 1405, 1118, 6455, 269, 1924, 713, 1620, 729, 17033, 31544, 780, 2252, 596, 1589, 602, 596, 666, 1451, 2979, 1510, 11298, 5058, 2979, 281, 596, 2811, 2469, 547, 723, 513, 1360, 3983, 942, 630, 309, 6630, 1040, 3807, 8384, 519, 642, 1749, 3884, 1405, 2614, 780, 2080, 568, 1250, 962, 19834, 8756, 269, 4427, 18285, 269, 1411, 786, 581, 711, 1881, 950, 594, 2322, 1007, 5398, 7044, 909, 780, 7883, 1753, 689, 1109, 26015, 14210, 2349, 4169, 1109, 16032, 2422, 780, 23763, 547, 1294, 811, 1863, 3817, 1299, 4245, 1299, 824, 1863, 8631, 593, 713, 3135, 2496, 2080, 781, 3733, 4793, 516, 517, 1384, 13706, 513, 13362, 513, 3923, 269, 1109, 901, 786, 849, 1450, 803, 547, 15321, 1250, 942, 780, 10059, 2517, 4178, 4877, 11128, 517, 2593, 14727, 4319, 2023, 305, 600, 821, 692, 9616, 281, 689, 942, 547, 942, 519, 18538, 1689, 269, 15439, 552, 17733, 803, 585, 513, 1007, 835, 610, 513, 1007, 1780, 1636, 607, 519, 2013, 949, 581, 269, 16316, 10596, 616, 1434, 585, 835, 1032, 267, 10715, 10596, 616, 1434, 585, 607, 1279, 607, 519, 3135, 3788, 909, 267, 630, 338, 924, 814, 1044, 909, 585, 5216, 1296, 1631, 1040, 1109, 2353, 2582, 2985, 18538, 723, 10715, 25430, 780, 9616, 281, 4107, 18200, 27255, 8605, 18103, 1359, 1809, 27971, 5620, 2142, 523, 3816, 3437, 9603, 1677, 1744, 6235, 270, 1103, 1203, 800, 12983, 269, 13555, 585, 19280, 1344, 543, 1587, 8244, 780, 23763, 547, 1294, 811, 1863, 3817, 1299, 4245, 1299, 824, 1863, 8631, 593, 713, 3135, 2496, 2080, 781, 3733, 4793, 516, 517, 1384, 13706, 513, 13362, 513, 3923, 269, 1109, 901, 786, 849, 1450, 803, 547, 15321, 1250, 942, 780, 10059, 2517, 4178, 4877, 11128, 517, 2593, 14727, 4319, 2023, 305, 600, 821, 692, 301, 11246, 256, 10426, 6919, 723, 1044, 602, 556, 6896, 883, 13838, 269, 623, 3008, 14684, 16704, 5442, 23859, 7602, 494, 8437, 547, 1265, 856, 811, 780, 2704, 2819, 723, 10426, 6919, 855, 789, 1810, 1405, 960, 15042, 286, 12231, 519, 2552, 9711, 9184, 543, 4757, 803, 693, 575, 21166, 585, 519, 1007, 3283, 780, 27879, 6919, 616, 1175, 827, 547, 1689, 269, 1358, 10093, 1405, 4957, 2094, 2063, 5988, 780, 3719, 2023, 4947, 4166, 1862, 9288, 656, 830, 2638, 856, 519, 19549, 540, 5147, 9042, 780, 10144, 616, 28280, 663, 27086, 950, 789, 1294, 875, 1454, 789, 1205, 585, 513, 10957, 269, 0, 258, 476, 277, 269, 1015, 281, 9351, 540, 590, 26662, 543, 21540, 906, 692, 11377, 14050, 3189, 11355, 338, 22042, 272, 27037, 13569, 564, 2715, 1422, 27771, 5882, 1422, 337, 12915, 17369, 3019, 1575, 348, 11513, 10400, 346, 258, 272, 3686, 476, 6525, 6695, 14050, 3189, 557, 7251, 22042, 272, 27037, 13569, 564, 346, 10559, 256, 10559, 256, 315, 337, 12915, 17369, 3019, 1575, 7346, 341, 28783, 21151, 4153, 8243, 1662, 2715, 258, 272, 3686, 6525, 11377, 14050, 3189, 573, 7346, 9507, 346, 573, 24995, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 24995, 6695, 14050, 3189, 330, 14533, 7346, 9507, 23533, 1638, 4153, 267, 6525, 6695, 14050, 3189, 9792, 7346, 9507, 346, 9792, 4153, 267, 6525, 6695, 14050, 3189, 18600, 8512, 7346, 9507, 346, 3725, 24995, 6695, 14050, 3189, 3412, 698, 2435, 8512, 7346, 9507, 346, 3412, 24995, 6695, 14050, 3189, 26855, 2163, 7346, 9507, 346, 26855, 24995, 6695, 14050, 3189, 17884, 22042, 272, 27037, 347, 1948, 272, 1422, 347, 6525, 6695, 14050, 3189, 27903, 22042, 273, 27037, 30848, 1948, 272, 267, 1948, 273, 1422, 26917, 6525, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 24995, 6695, 14050, 3189, 573, 7346, 9507, 346, 573, 24995, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 24995, 6695, 14050, 3189, 330, 14533, 7346, 9507, 23533, 1638, 4153, 267, 6525, 6695, 14050, 3189, 9792, 7346, 9507, 346, 9792, 4153, 267, 6525, 6695, 14050, 3189, 18600, 8512, 7346, 9507, 346, 3725, 24995, 6695, 14050, 3189, 3412, 698, 2435, 8512, 7346, 9507, 346, 3412, 24995, 6695, 14050, 3189, 26855, 2163, 7346, 9507, 346, 26855, 24995, 6695, 14050, 3189, 17884, 22042, 272, 27037, 347, 1948, 272, 1422, 347, 6525, 6695, 14050, 3189, 27903, 22042, 273, 27037, 30848, 1948, 272, 267, 1948, 273, 1422, 26917, 6525, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 24995, 11377, 14050, 3189, 8150, 7346, 684, 545, 1712, 314, 269, 279, 267, 271, 31765, 343, 18891, 289, 3686, 9681, 22704, 540, 2694, 540, 513, 5858, 780, 1012, 9351, 540, 590, 26662, 543, 21540, 906, 692, 288, 5823, 540, 513, 5858, 568, 519, 1858, 22112, 676, 1079, 2234, 4512, 543, 519, 9095, 1063, 519, 1439, 9557, 540, 519, 2234, 4512, 269, 1403, 678, 568, 519, 8953, 543, 1422, 4204, 1002, 346, 5723, 348, 568, 519, 9095, 3808, 532, 513, 5823, 267, 1287, 519, 1858, 540, 519, 5823, 568, 3230, 288, 7807, 13320, 31551, 315, 4204, 1002, 346, 5723, 348, 25452, 11740, 17353, 15132, 14990, 10383, 1422, 7032, 678, 317, 273, 29634, 288, 10126, 540, 513, 5858, 568, 519, 1858, 540, 513, 5858, 602, 568, 22112, 676, 513, 16147, 543, 519, 9095, 609, 519, 1482, 1439, 9557, 607, 519, 16147, 269, 634, 1858, 540, 513, 10126, 568, 3230, 288, 18155, 3667, 346, 572, 8540, 3686, 284, 288, 26000, 2758, 6629, 288, 18155, 18773, 13235, 15732, 1432, 952, 596, 941, 2016, 513, 5858, 609, 1079, 2234, 4512, 538, 799, 519, 3148, 1063, 1346, 1079, 2234, 4512, 729, 26484, 286, 1215, 1223, 596, 1265, 519, 1858, 540, 602, 26484, 3148, 540, 519, 5858, 2496, 7078, 6695, 17273, 19340, 346, 272, 15732, 763, 1858, 540, 513, 5823, 568, 3230, 13670, 1422, 7032, 2330, 543, 519, 9095, 2268, 568, 476, 21327, 17353, 15132, 20467, 1548, 568, 519, 8953, 540, 519, 5858, 2496, 11405, 692, 303, 29888, 538, 1018, 596, 917, 547, 519, 5823, 1858, 4542, 543, 4194, 585, 678, 780, 17961, 25410, 348, 476, 13670, 1422, 7032, 17851, 1422, 13320, 346, 21327, 17353, 15132, 12453, 11740, 17353, 15132, 14990, 10383, 1422, 7032, 678, 317, 273, 8607, 476, 13670, 261, 284, 3374, 24206, 678, 317, 273, 8607, 1422, 13320, 346, 276, 2410, 274, 348, 1422, 10383, 476, 13670, 17851, 337, 317, 273, 8607, 476, 18597, 17851, 337, 317, 273, 1422, 21375, 678, 7807, 6912, 346, 18597, 13157, 1428, 1422, 754, 25410, 10926, 7078, 6695, 17273, 19340, 346, 273, 15732, 8340, 519, 1858, 540, 519, 26484, 3148, 269, 634, 29105, 568, 513, 4009, 780, 11405, 692, 763, 8953, 540, 519, 5858, 568, 476, 1626, 267, 799, 568, 849, 3368, 540, 519, 15497, 540, 519, 4009, 269, 1924, 267, 519, 15497, 568, 476, 3953, 543, 519, 5011, 1131, 581, 1422, 13320, 346, 3953, 7346, 6912, 346, 273, 14990, 10383, 1422, 13320, 3189, 6912, 346, 273, 24828, 6912, 346, 273, 3686, 284, 1626, 25490, 346, 273, 348, 1317, 1142, 3368, 540, 513, 4009, 568, 513, 476, 3393, 268, 3393, 268, 3445, 6906, 780, 17961, 25410, 348, 288, 18155, 3667, 346, 15132, 548, 3686, 261, 284, 1626, 317, 273, 1422, 7032, 815, 16348, 1422, 7032, 8607, 589, 18155, 3667, 346, 338, 13645, 3686, 261, 14352, 1626, 25490, 346, 273, 348, 8203, 273, 284, 16348, 24206, 476, 273, 284, 24423, 1422, 754, 25410, 10926, 763, 1858, 540, 519, 26484, 3148, 568, 3230, 16348, 1422, 7032, 6567, 24423, 1422, 13627, 476, 29580, 269, 1839, 9681, 7078, 6695, 17273, 19340, 346, 274, 15732, 8340, 519, 1858, 540, 519, 4544, 5823, 269, 23680, 707, 2626, 538, 2474, 540, 6695, 7032, 29634, 11405, 692, 1103, 519, 4605, 267, 519, 3844, 5086, 602, 14687, 609, 519, 5823, 568, 3230, 2568, 17353, 15132, 6525, 269, 3230, 2568, 17353, 15132, 6525, 568, 476, 1626, 540, 3230, 11740, 17353, 15132, 6525, 267, 865, 713, 5823, 568, 476, 1626, 540, 519, 2698, 1858, 269, 6695, 3667, 346, 19327, 540, 4544, 5823, 7684, 284, 1626, 24206, 1422, 7032, 476, 279, 317, 273, 7807, 13320, 346, 3953, 2410, 274, 348, 1422, 7032, 9681, 7078, 6695, 17273, 19340, 346, 272, 15732, 763, 1858, 540, 513, 5823, 568, 3230, 279, 1422, 7032, 2330, 543, 519, 8953, 540, 519, 5858, 568, 476, 1321, 269, 1548, 568, 519, 3844, 5086, 2496, 11405, 692, 303, 29888, 538, 1018, 596, 917, 547, 519, 5823, 1858, 4542, 543, 1287, 4194, 585, 519, 3844, 5086, 267, 799, 649, 786, 1289, 1535, 780, 17961, 25410, 348, 279, 1422, 7032 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 269, 1879, 646, 7012, 1405, 1821, 28666, 2835, 5128, 267, 646, 1131, 5531, 2828, 693, 1010, 2777, 585, 18512, 5717, 827, 1018, 789, 1185, 5063, 1224, 269, 901, 6612, 585, 1565, 23185, 1010, 5876, 543, 5280, 1864, 1711, 20605, 3197, 899, 546, 262, 9209, 1725, 534, 267, 19158, 657, 267, 623, 2180, 657, 267, 589, 1090, 529, 267, 543, 3798, 12107, 667, 656, 11726, 338, 780, 3963, 1281, 621, 2339, 547, 721, 2221, 888, 20091, 3091, 9118, 2640, 585, 938, 1072, 543, 8171, 269, 898, 10607, 3965, 267, 10597, 6568, 267, 6971, 2566, 267, 543, 21040, 6863, 269, 3807, 899, 22354, 516, 667, 30864, 267, 950, 649, 16616, 6000, 547, 1585, 11964, 543, 4589, 267, 649, 1932, 666, 1020, 21950, 4337, 5209, 543, 1732, 2792, 1983, 269, 5047, 267, 18167, 883, 13858, 6386, 2636, 721, 547, 2263, 3309, 10600, 543, 4529, 1247, 6967, 2922, 693, 1753, 780, 4131, 781, 2119, 606, 1383, 1927, 256, 5994, 596, 1930, 513, 1433, 827, 3504, 5527, 269, 1306, 596, 2253, 2542, 267, 707, 2634, 6238, 2870, 2592, 540, 14297, 6990, 4904, 609, 16678, 14546, 267, 26009, 26829, 16213, 1279, 20224, 936, 22501, 24301, 267, 543, 23836, 943, 21198, 338, 15194, 741, 25267, 269, 1411, 949, 849, 7237, 2189, 9821, 267, 4978, 267, 543, 2591, 5185, 676, 519, 12266, 1004, 1107, 782, 540, 799, 22962, 707, 1620, 540, 8103, 781, 3838, 2833, 2066, 942, 543, 2230, 780, 6962, 912, 1103, 3932, 267, 22354, 516, 667, 30864, 3788, 835, 540, 519, 1158, 781, 1034, 9976, 4589, 1813, 547, 1010, 9058, 2702, 547, 4739, 8903, 2984, 602, 13469, 609, 5481, 540, 3988, 269, 1635, 8508, 513, 2648, 585, 2542, 267, 1175, 607, 667, 30864, 1705, 267, 649, 1932, 666, 28231, 10373, 12587, 585, 938, 2790, 543, 3929, 1072, 269, 1924, 4584, 909, 513, 1433, 267, 4685, 883, 922, 3817, 267, 543, 7832, 593, 606, 17938, 1791, 908, 3460, 2407, 540, 6602, 267, 2208, 267, 543, 4276, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20694, 663, 516, 667, 30864, 630, 335, 27056, 994, 20694, 663, 516, 667, 30864, 630, 335, 27056, 994, 23210, 29787, 267, 31075, 267, 1557, 626, 267, 2110, 3613, 800, 5856, 267, 15923, 5856, 267, 17770, 19212, 267, 543, 2278, 540, 11174, 5708, 563, 763, 1739, 7127, 6799, 606, 7650, 540, 667, 30864, 781, 4876, 998, 476, 1220, 277, 563, 291, 30864, 533, 27056, 9497, 1492, 9632, 8442, 814, 7283, 835, 540, 519, 1034, 11972, 569, 2442, 3209, 1235, 540, 519, 2250, 1079, 5553, 269, 7324, 1010, 1082, 9089, 540, 7045, 543, 15832, 267, 1419, 1305, 538, 513, 2796, 540, 3943, 1686, 543, 10023, 13840, 1483, 5515, 267, 519, 1655, 1634, 547, 2413, 3988, 616, 15776, 7708, 529, 544, 748, 638, 9508, 2231, 630, 7277, 275, 282, 634, 8422, 4053, 8208, 32580, 264, 543, 2274, 635, 974, 632, 22757, 4211, 2077, 334, 630, 7277, 275, 268, 7277, 276, 282, 634, 4032, 540, 22757, 4211, 2077, 334, 1070, 1312, 540, 799, 723, 1044, 9862, 547, 4670, 538, 3875, 24299, 269, 667, 30864, 568, 20295, 609, 2442, 1944, 519, 3943, 3140, 15832, 538, 519, 4571, 5991, 12078, 2540, 543, 814, 1044, 1572, 519, 3943, 19124, 8845, 630, 3369, 846, 654, 11232, 569, 9089, 1305, 538, 2025, 4789, 6039, 607, 606, 1271, 3310, 1040, 667, 30864, 568, 1419, 9011, 1645, 569, 3379, 547, 1010, 29629, 2456, 8841, 18018, 334, 543, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10890, 543, 25682, 257, 607, 851, 540, 834, 16300, 13493, 1315, 22419, 1315, 29329, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 769, 713, 1576, 1770, 267, 649, 5490, 883, 30427, 22158, 267, 513, 2565, 5943, 602, 8711, 519, 25872, 540, 4008, 8635, 2066, 10665, 1247, 1298, 1359, 12790, 9739, 1369, 2518, 15594, 5322, 269, 901, 5133, 7575, 3564, 7522, 8847, 540, 22158, 12082, 9003, 538, 5375, 8658, 676, 9301, 875, 1379, 3889, 971, 607, 19525, 267, 22030, 267, 10168, 267, 543, 16851, 3337, 2021, 781, 2833, 8335, 2066, 1585, 4525, 543, 4529, 780, 2414, 2253, 267, 1577, 721, 2263, 1883, 2035, 3844, 547, 30427, 22158, 281, 28622, 267, 14051, 267, 543, 1232, 565, 11102, 640, 780, 11328, 7611, 1275, 267, 22579, 676, 3656, 16159, 13690, 828, 331, 2946, 11511, 985, 24849, 538, 476, 2735, 280, 267, 4016, 547, 519, 1950, 2081, 602, 2789, 3029, 540, 7130, 1107, 1519, 3023, 1143, 267, 10168, 267, 4630, 22785, 267, 2111, 1143, 267, 543, 1362, 1143, 1107, 16937, 543, 12969, 267, 2870, 2189, 1727, 11306, 4810, 676, 2043, 693, 741, 28963, 269, 28249, 531, 2079, 2636, 30427, 8706, 1235, 547, 4983, 891, 20718, 1949, 540, 1379, 543, 17979, 950, 6236, 2152, 7133, 2021, 11451, 269, 1280, 1383, 267, 1382, 814, 3254, 602, 2916, 1689, 25409, 5222, 7087, 2021, 2713, 538, 6820, 3162, 2477, 1813, 547, 2188, 899, 3908, 1569, 547, 2200, 543, 3375, 6194, 1379, 267, 2417, 12615, 908, 4540, 4008, 543, 7292, 13103, 780, 17471, 1436, 267, 1776, 2629, 1523, 538, 30427, 22158, 267, 6257, 519, 2810, 5610, 540, 11615, 267, 7239, 267, 543, 4529, 998, 3486, 4123, 267, 2792, 4066, 267, 543, 9194, 8928, 269, 2755, 930, 8044, 602, 14051, 5012, 547, 3152, 3255, 585, 3444, 14426, 5385, 543, 5698, 1851, 2021, 5001, 267, 1866, 25077, 621, 2164, 538, 1007, 3029, 540, 14226, 543, 19514, 1646, 1063, 6082, 269, 22718, 519, 1764, 540, 14051, 593, 575, 25311, 4074, 6990, 8761, 22880, 24716, 282, 4352, 972, 723, 1044, 12374, 1500, 2509, 2804, 16882, 585, 930, 2021, 538, 1978, 9922, 267, 2949, 267, 2518, 4747, 8635, 26251, 267, 3226, 2059, 3345, 4149, 1926, 3515, 269, 5047, 267, 2021, 3136, 547, 20441, 13016, 7694, 267, 6353, 676, 1970, 13848, 267, 4057, 2324, 2175, 267, 543, 2370, 2816, 3354, 780, 13356, 565, 11102, 640, 3091, 513, 7828, 998, 799, 30427, 8706, 1235, 666, 4161, 16402, 1417, 878, 1702, 2504, 543, 8789, 6386, 5935, 938, 24300, 540, 4008, 1894, 269, 1546, 3712, 517, 1944, 4485, 11168, 19815, 2438, 4763, 267, 8716, 4244, 12331, 540, 6616, 6508, 689, 2199, 2950, 543, 1016, 24503, 730, 917, 1194, 2471, 269, 1635, 9691, 6313, 3140, 23543, 540, 17091, 543, 4187, 9620, 267, 1232, 565, 11102, 17024, 1289, 3007, 547, 5571, 3157, 540, 2686, 2144, 5501, 543, 3261, 566, 602, 28511, 12623, 20470, 1379, 6384, 538, 4207, 2518, 6214, 269, 2290, 8037, 1383, 2882, 3646, 547, 8190, 7087, 4654, 543, 5389, 607, 6411, 540, 32134, 1996, 3936, 2401, 7810, 3785, 780, 1103, 2259, 267, 30427, 22158, 22851, 609, 1514, 5126, 17933, 543, 3609, 14223, 267, 5373, 2390, 922, 7811, 4030, 547, 20834, 1125, 7104, 2962, 543, 3895, 7293, 7004, 269, 2368, 7986, 2127, 1141, 30427, 15594, 9299, 343, 529, 814, 8329, 3648, 1331, 1384, 272, 269, 20351, 543, 3115, 8793, 7126, 281, 3690, 20139, 8706, 1235, 12167, 585, 8471, 1569, 547, 4638, 543, 10285, 1072, 2533, 267, 4101, 25516, 4031, 543, 4507, 602, 17225, 2021, 781, 13190, 936, 741, 4703, 269, 1358, 849, 3954, 8784, 5739, 2853, 899, 4775, 19058, 4573, 7976, 543, 1126, 7365, 267, 23712, 2066, 3084, 6302, 547, 1628, 17604, 5121, 543, 24244, 4299, 5095, 262, 9739, 563, 273, 269, 8534, 24779, 543, 3004, 16751, 281, 2060, 3395, 2338, 540, 2021, 4955, 7992, 18368, 585, 960, 267, 30427, 8706, 1235, 1445, 593, 5355, 20038, 585, 6469, 4600, 267, 15637, 267, 543, 824, 7925, 2516, 11630, 547, 6057, 543, 14226, 269, 3958, 267, 789, 8396, 1480, 19338, 676, 14053, 12477, 689, 6608, 543, 14078, 635, 14032, 538, 14123, 7142, 4074, 543, 2413, 8474, 563, 274, 269, 7025, 10456, 281, 20876, 602, 2825, 16839, 1419, 22652, 840, 1410, 12371, 4008, 16526, 267, 30427, 8706, 1235, 4497, 538, 29065, 12180, 543, 3609, 14223, 6322, 693, 5466, 2916, 1689, 267, 17717, 267, 1216, 20317, 267, 543, 1426, 22584, 269, 1452, 7341, 3343, 547, 4099, 1346, 1034, 28148, 4299, 676, 8733, 12159, 267, 5097, 7087, 9082, 267, 6917, 2950, 267, 543, 2021, 540, 2681, 563, 275, 269, 3353, 657, 7220, 543, 3642, 15979, 281, 1306, 2029, 5170, 547, 15449, 622, 1169, 2460, 540, 3232, 1272, 267, 30427, 8706, 1235, 29506, 1125, 1761, 12886, 11251, 1369, 6620, 543, 1239, 5036, 1031, 538, 5841, 4987, 3156, 269, 3414, 2565, 9382, 540, 10509, 6080, 262, 1909, 538, 10063, 1424, 11528, 31716, 267, 789, 7903, 1394, 1996, 25641, 2853, 602, 949, 12927, 11475, 610, 1267, 538, 8801, 4539, 585, 12790, 2950, 780, 3528, 8508, 30427, 15594, 3741, 267, 5640, 543, 9439, 7567, 3565, 547, 2679, 8537, 5755, 1431, 5827, 540, 1198, 532, 6209, 1689, 16135, 538, 6568, 267, 2463, 267, 543, 25262, 640, 269, 11086, 267, 14237, 606, 4656, 540, 30427, 15594, 6436, 543, 2994, 6087, 721, 547, 7119, 811, 29596, 538, 2518, 19929, 4478, 4008, 9698, 267, 1514, 5126, 267, 543, 4264, 1646, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 20809, 476, 3066, 547, 4864, 476, 6349, 267, 476, 1001, 280, 454, 2467, 786, 581, 1100, 1732, 1765, 3467, 10069, 1944, 267, 811, 2146, 20671, 267, 811, 29014, 267, 811, 24084, 2287, 1765, 3118, 547, 6108, 513, 3018, 540, 707, 4832, 269, 6787, 596, 616, 606, 15938, 19072, 2120, 270, 4942, 291, 2875, 267, 606, 2038, 4876, 4081, 267, 513, 4557, 3293, 12200, 1268, 267, 610, 2576, 3544, 540, 519, 30028, 15587, 267, 519, 5980, 585, 519, 5530, 540, 18748, 14400, 12054, 21577, 2488, 606, 5863, 4316, 547, 1451, 267, 2170, 267, 543, 1711, 7258, 1079, 18797, 540, 519, 1034, 2502, 11570, 630, 652, 21521, 543, 909, 7146, 268, 5765, 5640, 264, 2324, 538, 270, 19925, 1860, 2090, 689, 782, 1472, 519, 1158, 269, 22067, 581, 513, 16045, 2336, 8802, 626, 1674, 10741, 593, 11728, 267, 4989, 476, 272, 560, 269, 1530, 1846, 538, 782, 29468, 616, 2139, 593, 1101, 2097, 267, 1101, 6039, 269, 1284, 4363, 11578, 532, 19692, 982, 2663, 547, 10018, 707, 1283, 5079, 269, 2201, 4873, 476, 272, 560, 267, 29519, 14261, 3928, 786, 556, 1606, 564, 547, 513, 2362, 2179, 269, 22067, 585, 1175, 1079, 610, 1614, 2395, 952, 596, 6999, 547, 1491, 1079, 29468, 269, 2107, 3251, 585, 519, 2407, 22173, 543, 11578, 585, 607, 1082, 607, 2947, 29468, 269, 4107, 29468, 513, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 14298, 18426, 13316, 1315, 12339, 24452, 1299, 12339, 21442, 7869, 1315, 3690, 20139, 12339, 24452, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 7756, 27639, 998, 7734, 543, 12267, 692, 8702, 547, 938, 4241, 3460, 883, 1620, 1114, 4529, 256, 5620, 596, 2479, 9289, 875, 2984, 666, 948, 721, 1451, 827, 1004, 689, 824, 2694, 540, 519, 1158, 286, 2107, 1946, 930, 1913, 543, 7215, 1522, 723, 1114, 10096, 538, 1585, 4529, 286, 4270, 267, 1577, 781, 4685, 883, 713, 10578, 3408, 1927, 2439, 5575, 267, 1577, 781, 4952, 602, 1142, 2528, 814, 922, 1378, 834, 935, 1061, 8996, 2437, 899, 513, 2189, 5399, 4904, 609, 2835, 602, 2995, 721, 827, 741, 5389, 267, 4978, 267, 543, 2418, 269, 1452, 8021, 2270, 2984, 2854, 538, 1114, 4654, 543, 22463, 267, 1210, 3982, 4938, 629, 983, 625, 543, 6163, 269, 3807, 607, 649, 991, 547, 1174, 519, 1893, 1031, 538, 513, 1433, 547, 2972, 519, 1650, 267, 1565, 827, 891, 3604, 2337, 721, 1732, 10146, 543, 5660, 3309, 4529, 780, 3086, 267, 1589, 827, 2442, 2161, 902, 543, 18986, 1682, 538, 707, 1378, 1893, 1107, 6148, 1945, 899, 834, 527, 781, 986, 1456, 7314, 543, 5243, 1701, 1879, 2576, 3096, 971, 2453, 267, 789, 2356, 1810, 1405, 2503, 4890, 2831, 547, 2887, 689, 519, 6607, 256, 5502, 267, 891, 18986, 11703, 7215, 6655, 1808, 6835, 4470, 593, 1141, 596, 2661, 269, 6684, 267, 1169, 2528, 814, 10477, 5515, 540, 4633, 602, 949, 3100, 9490, 610, 14845, 952, 596, 2811, 14542, 609, 873, 269, 1635, 4974, 891, 10409, 28031, 802, 267, 649, 2744, 4030, 883, 2199, 9821, 543, 2081, 540, 3206, 780, 9202, 267, 1577, 781, 2263, 875, 4589, 689, 1585, 10080, 2328, 827, 741, 7239, 269, 1358, 1419, 6451, 2609, 540, 7810, 1686, 610, 2232, 1514, 2152, 538, 741, 1568, 269, 1280, 3236, 267, 2015, 3140, 2621, 5473, 17091, 543, 741, 1764, 593, 2413, 2950, 269, 2368, 5830, 946, 741, 2984, 547, 16472, 2250, 4636, 4777, 902, 610, 8774, 1769, 593, 5571, 9620, 269, 1306, 3988, 267, 649, 1831, 811, 15520, 3222, 950, 649, 2628, 3007, 547, 891, 4798, 780, 11101, 267, 2984, 4749, 2992, 6848, 8155, 543, 6788, 3823, 3347, 267, 1920, 6384, 267, 543, 4008, 5107, 269, 1635, 6313, 891, 3344, 2066, 2789, 6386, 267, 649, 3605, 3838, 1480, 2833, 1247, 849, 19825, 519, 2189, 7907, 602, 5581, 1367, 4529, 780, 13010, 267, 3695, 4296, 1063, 3332, 543, 2486, 2636, 721, 547, 4983, 2518, 2591, 899, 7130, 267, 6710, 267, 543, 2825, 4145, 269, 3509, 4589, 10994, 891, 3584, 2212, 6823, 267, 5356, 5380, 602, 22962, 938, 1620, 540, 519, 1158, 1472, 721, 780, 15563, 267, 18167, 4514, 883, 5339, 2079, 6087, 721, 547, 2697, 18596, 6698, 267, 18305, 267, 610, 18840, 18196, 1369, 2984, 688, 4979, 689, 1808, 4525, 269, 1133, 16225, 532, 891, 1455, 16060, 27862, 938, 2542, 1995, 543, 18791, 938, 9787, 540, 6237, 9163, 780, 1103, 3932, 267, 5887, 1005, 883, 519, 7706, 540, 3486, 3332, 10741, 909, 11995, 3255, 585, 3444, 14426, 6602, 269, 1924, 10544, 513, 1433, 630, 528, 1079, 14386, 689, 1776, 7944, 540, 519, 8608, 543, 7832, 593, 713, 13858, 7045, 7258, 721, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 20442, 5815, 1614, 1523, 8996, 338, 540, 6054, 269, 1548, 1985, 5777, 540, 851, 543, 2500, 23977, 3258, 3359, 616, 6462, 538, 891, 6821, 267, 609, 741, 1569, 593, 8635, 543, 654, 1177, 286, 1215, 1745, 519, 19937, 1235, 540, 1433, 6006, 1294, 609, 610, 798, 7810, 9443, 543, 2474, 540, 524, 573, 1228, 286, 1548, 1772, 540, 1357, 13173, 2686, 689, 891, 769, 27771, 687, 286, 12059, 267, 1018, 24816, 540, 1433, 10552, 543, 2486, 616, 693, 5576, 28704, 5336, 518, 343, 538, 891, 19141, 286, 901, 8474, 568, 609, 713, 1554, 547, 2736, 2686, 838, 553, 916, 6932, 519, 9972, 4638, 885, 540, 476, 275, 304, 291, 4645, 14309, 689, 519, 7616, 540, 3162, 5607, 543, 519, 29412, 2680, 540, 519, 8128, 676, 799, 5898, 17050, 281, 1256, 267, 1018, 2968, 621, 2721, 547, 11578, 513, 8376, 540, 4759, 538, 1114, 3127, 267, 950, 519, 4832, 10927, 540, 519, 6704, 267, 922, 14980, 2055, 267, 543, 13747, 4031, 729, 3194, 532, 9138, 286, 3776, 3344, 595, 2100, 593, 24947, 609, 519, 14026, 538, 519, 1114, 543, 12250, 769, 27771, 687, 538, 5180, 14456, 1433, 10552, 11565, 3127, 543, 2022, 24645, 9031, 269, 2409, 540, 11572, 19004, 257, 263, 476, 7277, 279, 264, 547, 581, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 28057, 8228, 568, 513, 4480, 602, 814, 1044, 1031, 585, 5553, 547, 1711, 4190, 543, 6946, 9102, 6272, 269, 2311, 922, 4295, 267, 8323, 8228, 3322 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14654, 680, 272, 815, 630, 272, 267, 994, 14654, 680, 273, 815, 630, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 994, 14654, 680, 274, 815, 8913, 680, 272, 1341, 8913, 680, 273, 454, 14654, 680, 275, 815, 8913, 680, 273, 2608, 476, 275, 692, 2745, 2891, 14654, 680, 273, 7511, 421, 499, 379, 18021, 355, 16088, 2580, 7003, 6025, 340, 680, 273, 4917, 2745, 2891, 14654, 680, 273, 7511, 21588, 361, 273, 28996, 274, 14748, 30317, 27381, 510, 16088, 2580, 8913, 680, 273, 314, 272, 281, 274, 7481, 2745, 3488, 14654, 680, 274, 281, 3299, 8913, 680, 274, 994, 2745, 3488, 14654, 680, 275, 281, 3299, 14654, 680, 275, 2020, 343, 267, 586, 815, 476, 272, 267, 476, 273, 454, 2745, 2891, 19368, 540, 1535, 2073, 586, 2433, 14307, 1535, 11971, 264, 0, 1038, 476, 5992, 7462, 7379, 18185, 910, 3487, 324, 1948, 272, 476, 5992, 7462, 5897, 5814, 4351, 1477, 5814, 19523, 5897, 3698, 1016, 6339, 318, 5632, 322, 28399, 825, 1948, 760, 318, 5417, 816, 815, 476, 271, 1477, 825, 1948, 11357, 6339, 8548, 2532, 815, 476, 271, 1477, 825, 2119, 6769, 1038, 1820, 9497, 315, 333, 14744, 1038, 1820, 9497, 5327, 11220, 676, 5975, 334, 14744, 1038, 1820, 9497, 15916, 1158, 14744, 1038, 1948, 16485, 585, 606, 7379, 17372, 1477, 1038, 1948, 10267, 9535, 7379, 2232, 14496, 1477, 1038, 1247, 6936, 6769, 2018, 28258, 318, 5417, 816, 815, 3403, 2891, 11767, 606, 7379, 2232, 281, 834, 10142, 2018, 1948, 8620, 519, 1592, 834, 320, 257, 689, 28258, 318, 5417, 816, 1477, 2018, 1948, 8266, 2609, 689, 24590, 7379, 17372, 676, 834, 1701, 1477, 2018, 513, 815, 28258, 318, 5417, 816, 21858, 3488, 9538, 10142, 2018, 1948, 7410, 19472, 519, 3403, 28258, 2232, 267, 568, 538, 4570, 2039, 267, 561, 1263, 543, 3884, 1405, 2199, 7329, 1477, 2018, 952, 630, 6352, 5416, 264, 2652, 476, 275, 264, 543, 630, 272, 10922, 703, 5416, 314, 271, 8079, 10922, 476, 23417, 264, 543, 630, 842, 5416, 314, 271, 8079, 11203, 476, 14096, 264, 543, 630, 842, 5416, 314, 271, 8079, 11203, 476, 15433, 610, 703, 5416, 314, 272, 8079, 11203, 476, 22724, 264, 543, 630, 271, 10922, 703, 5416, 314, 272, 8079, 10922, 476, 14838, 543, 476, 271, 10922, 703, 5416, 314, 273, 8079, 10922, 476, 14838, 543, 476, 271, 10922, 703, 5416, 314, 274, 8079, 10922, 476, 14838, 8029, 3546, 2736, 5897, 2018, 3116, 6769, 3546, 1820, 19629, 333, 634, 7379, 2232, 568, 5442, 309, 3201, 2839, 256, 7490, 1427, 787, 256, 1422, 333, 14744, 3546, 3136, 5897, 1038, 1948, 4289, 540, 4570, 22347, 2532, 547, 19472, 3403, 1477, 1038, 13968, 815, 1496, 14838, 267, 476, 22724, 267, 476, 21857, 267, 476, 27886, 267, 476, 13301, 267, 476, 23470, 267, 476, 4572, 267, 476, 12553, 267, 476, 271, 316, 5897, 1038, 1948, 10267, 9535, 4427, 6339, 631, 2532, 14496, 1477, 1038, 1247, 6936, 6769, 2018, 1016, 6339, 8548, 2532, 815, 3403, 2891, 11767, 513, 1016, 6339, 9633, 281, 834, 10142, 2018, 1948, 8620, 513, 1592, 689, 1016, 6339, 8548, 2532, 1477, 2018, 536, 815, 1016, 6339, 8548, 2532, 21858, 3488, 9538, 10142, 2018, 952, 630, 6352, 6357, 264, 2652, 476, 275, 264, 543, 630, 842, 6357, 314, 271, 8079, 2652, 476, 14838, 264, 543, 630, 842, 6357, 314, 272, 8079, 538, 13968, 264, 543, 630, 842, 6357, 314, 273, 8079, 538, 13968, 264, 543, 630, 842, 6357, 314, 274, 8079, 538, 13968, 264, 543, 630, 842, 6357, 314, 271, 8079, 13843, 703, 6357, 314, 272, 8079, 13843, 703, 6357, 314, 273, 8079, 13843, 703, 6357, 314, 274, 8079, 8029, 3546, 2736, 5897, 2018, 3116, 6769, 3546, 1820, 9497, 315, 333, 763, 1016, 6339, 9633, 568, 5442, 309, 3201, 2839, 256, 7490, 1427, 787, 256, 315, 333, 14744, 3546, 3136, 5897, 453, 5992, 7462, 7379, 18185, 910, 3487, 1948, 273, 476, 5992, 7462, 5897, 1038, 1948, 11357, 6339, 8446, 267, 1759, 593, 7379, 543, 4427, 6339, 631, 2532, 5897, 1038, 1948, 3519, 3200, 9633, 547, 9352, 5569, 1477, 1038, 9633, 318, 24934, 1115, 7272, 611, 4765, 815, 1496, 15947, 1038, 9633, 318, 24934, 1115, 318, 20657, 2711, 815, 1016, 6339, 8548, 2532, 21858, 2891, 1701, 3418, 1038, 1948, 2745, 630, 332, 2532, 318, 24934, 1115, 318, 20657, 2711, 10142, 1038, 585, 12354, 564, 16229, 538, 2039, 263, 271, 267, 7003, 9852, 2532, 318, 24934, 1115, 318, 20657, 2711, 264, 2567, 5897, 2018, 1948, 2745, 630, 16535, 17301, 9852, 2532, 318, 24934, 1115, 318, 20657, 2711, 314, 24934, 564, 16229, 316, 4297, 10142, 2018, 9352, 318, 24934, 564, 815, 10822, 17301, 9852, 2532, 318, 24934, 1115, 318, 20657, 2711, 314, 24934, 564, 16229, 8079, 1040, 20889, 2891, 321, 8442, 314, 272, 15947, 2018, 1948, 2745, 630, 321, 2435, 318, 24934, 564, 10142, 2018, 1948, 604, 814, 476, 279, 3787, 267, 1039, 2338, 547, 9633, 318, 24934, 564, 7272, 611, 4765, 1592, 1477, 2018, 952, 7003, 6357, 2435, 318, 24934, 564, 264, 2652, 476, 279, 6769, 3546, 9633, 318, 24934, 1115, 7272, 611, 4765, 6910, 6357, 2435, 318, 24934, 564, 10142, 2018, 1948, 604, 1447, 982, 476, 279, 3787, 267, 6445, 609, 476, 271, 1210, 1547, 345, 15640, 630, 1990, 607, 4642, 3418, 2018, 8640, 7003, 6357, 2435, 318, 24934, 564, 264, 2999, 476, 279, 6769, 3546, 9352, 318, 24934, 564, 7272, 611, 4765, 815, 9352, 318, 24934, 564, 269, 345, 15640, 263, 279, 3418, 3546, 9633, 318, 24934, 1115, 7272, 611, 4765, 6910, 6357, 2435, 318, 24934, 564, 7272, 611, 4765, 10142, 1038, 1948, 2745, 630, 332, 2532, 318, 24934, 1115, 7272, 611, 4765, 10142, 1038, 1948, 718, 9633, 318, 24934, 31637, 7272, 611, 4765, 1592, 2418, 786, 6443, 607, 835, 4756, 1871, 1477, 1038, 1948, 15884, 1397, 513, 1279, 8918, 1297, 609, 476, 272, 543, 476, 271, 1152, 1477, 1038, 8918, 8548, 2532, 815, 834, 2668, 21860, 9852, 2532, 318, 24934, 1115, 7272, 611, 4765, 3418, 1038, 1948, 2745, 630, 20657, 2711, 8548, 2532, 3418, 1038, 1948, 1290, 2889, 8663, 281, 585, 476, 14838, 269, 14838, 269, 14838, 269, 271, 18092, 476, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 1822, 1822, 876, 5897, 1038, 1948, 15575, 532, 3984, 11353, 538, 519, 9633, 543, 12719, 1297, 540, 14747, 4882, 889, 6339, 1477, 1038, 1297, 15058, 318, 24029, 815, 8918, 8548, 2532, 29644, 2891, 271, 14744, 1038, 1297, 15058, 318, 2158, 815, 476, 3953, 910, 1297, 15058, 318, 24029, 1477, 1038, 1297, 15058, 318, 10676, 338, 815, 2612, 263, 273, 2878, 1297, 15058, 318, 24029, 910, 476, 273, 264, 1948, 8873, 2318, 1871, 585, 9633, 1315, 3953, 5897, 1038, 1948, 2745, 630, 15893, 15058, 318, 24029, 3418, 1038, 1948, 2745, 630, 15893, 15058, 318, 2158, 3418, 1038, 1948, 2745, 630, 15893, 15058, 318, 10676, 338, 10142, 1038, 1948, 11917, 8877, 3552, 15258, 9633, 1477, 1038, 3552, 15258, 318, 24934, 1115, 815, 1496, 15947, 1038, 585, 530, 318, 24934, 564, 538, 9633, 318, 24934, 1115, 318, 20657, 2711, 6769, 2018, 3552, 318, 24934, 564, 815, 476, 14838, 910, 703, 26028, 318, 24934, 564, 3418, 2018, 3552, 15258, 318, 24934, 1115, 6910, 19304, 26028, 843, 318, 24934, 564, 264, 10142, 1038, 1948, 2745, 630, 32612, 15258, 318, 24934, 1115, 10142, 1038, 3552, 15258, 8548, 2532, 815, 834, 1701, 269, 21860, 26028, 843, 15258, 318, 24934, 1115, 3418, 1038, 1948, 2745, 630, 32612, 15258, 8548, 2532, 10142, 1038, 476, 5992, 7462, 7379, 18185, 910, 3487, 1948, 274, 476, 5992, 7462, 5897, 1038, 1948, 3519, 3200, 7379, 547, 9352, 5569, 1477, 1038, 28258, 318, 24934, 1115, 7272, 611, 4765, 815, 1496, 15947, 1038, 28258, 318, 24934, 1115, 318, 20657, 2711, 815, 28258, 318, 5417, 816, 21858, 2891, 1701, 10142, 1038, 585, 12354, 564, 16229, 538, 2039, 263, 271, 267, 7003, 263, 760, 318, 24934, 1115, 318, 20657, 2711, 264, 2567, 5897, 2018, 9352, 318, 24934, 564, 815, 10822, 17301, 263, 760, 318, 24934, 1115, 318, 20657, 2711, 314, 24934, 564, 16229, 8079, 1040, 20889, 2891, 321, 8442, 314, 272, 316, 5897, 2018, 952, 7003, 6357, 2435, 318, 24934, 564, 264, 2999, 476, 279, 6769, 3546, 9352, 318, 24934, 564, 7272, 611, 4765, 815, 9352, 318, 24934, 564, 269, 345, 15640, 263, 279, 3418, 3546, 28258, 318, 24934, 1115, 7272, 611, 4765, 6910, 6357, 2435, 318, 24934, 564, 7272, 611, 4765, 10142, 2018, 3116, 6769, 3546, 28258, 318, 24934, 1115, 7272, 611, 4765, 6910, 6357, 2435, 318, 24934, 564, 10142, 1038, 1948, 2745, 630, 760, 318, 24934, 1115, 7272, 611, 4765, 10142, 1038, 9352, 318, 760, 815, 834, 2668, 21860, 263, 760, 318, 24934, 1115, 7272, 611, 4765, 10142, 1038, 1948, 2745, 630, 321, 2435, 318, 760, 3418, 1038, 1948, 1290, 2889, 8663, 281, 585, 476, 4572, 269, 12739, 269, 273, 269, 1911, 18092, 476, 8099, 1822, 9826, 18089, 1911, 1822, 1822, 18089, 18733, 9826, 876, 5897, 1038, 1948, 11917, 1555, 519, 3060, 2232, 543, 13739, 2232, 689, 519, 9352, 12673, 5833, 1657, 5897, 1038, 3060, 318, 5417, 816, 10734, 2435, 815, 9352, 318, 760, 11468, 263, 15893, 15058, 318, 2158, 13580, 1341, 834, 271, 257, 2608, 1297, 15058, 318, 24029, 1477, 1038, 1948, 2745, 630, 6339, 1740, 318, 5417, 816, 10734, 2435, 10142, 1038, 13739, 318, 5417, 816, 10734, 2435, 815, 9352, 318, 760, 11468, 263, 15893, 15058, 318, 2158, 13580, 1341, 834, 272, 257, 2608, 1297, 15058, 318, 24029, 1477, 1038, 1948, 2745, 630, 321, 5802, 4751, 318, 5417, 816, 10734, 2435, 10142, 1038, 2121, 318, 760, 318, 24934, 1115, 815, 1496, 15947, 1038, 585, 12354, 564, 538, 2039, 263, 271, 267, 7003, 3799, 564, 1740, 318, 5417, 816, 10734, 2435, 1070, 476, 279, 8029, 2018, 2121, 318, 760, 318, 24934, 564, 815, 3060, 318, 5417, 816, 10734, 2435, 314, 24934, 564, 281, 24934, 564, 266, 279, 15947, 2018, 2121, 318, 760, 318, 24934, 1115, 6910, 3799, 564, 318, 760, 318, 24934, 564, 10142, 1038, 1948, 2745, 630, 6339, 318, 760, 318, 24934, 1115, 10142, 1038, 2121, 318, 760, 318, 5417, 816, 815, 1496, 15947, 1038, 585, 1142, 318, 24934, 564, 538, 2121, 318, 760, 318, 24934, 1115, 6769, 2018, 2121, 318, 760, 318, 5417, 816, 6910, 19304, 17301, 16216, 778, 318, 24934, 564, 267, 476, 273, 4297, 10142, 1038, 1948, 2745, 630, 6339, 318, 760, 318, 5417, 816, 10142, 1038, 3060, 318, 5417, 816, 815, 834, 1701, 269, 21860, 3799, 564, 318, 760, 318, 5417, 816, 3418, 1038, 1948, 2745, 630, 6339, 1740, 318, 5417, 816, 10142, 1038, 536, 560, 318, 760, 318, 24934, 1115, 815, 1496, 15947, 1038, 585, 12354, 564, 538, 2039, 263, 271, 267, 7003, 6357, 5802, 4751, 318, 5417, 816, 10734, 2435, 1070, 476, 279, 8029, 2018, 536, 560, 318, 760, 318, 24934, 564, 815, 13739, 318, 5417, 816, 10734, 2435, 314, 24934, 564, 281, 24934, 564, 266, 279, 15947, 2018, 536, 560, 318, 760, 318, 24934, 1115, 6910, 6357, 560, 318, 760, 318, 24934, 564, 10142, 1038, 1948, 2745, 630, 321, 560, 318, 760, 318, 24934, 1115, 10142, 1038, 536, 560, 318, 760, 318, 5417, 816, 815, 1496, 15947, 1038, 585, 1142, 318, 24934, 564, 538, 536, 560, 318, 760, 318, 24934, 1115, 6769, 2018, 536, 560, 318, 760, 318, 5417, 816, 6910, 19304, 17301, 16216, 778, 318, 24934, 564, 267, 476, 273, 4297, 10142, 1038, 1948, 2745, 630, 321, 560, 318, 760, 318, 5417, 816, 10142, 1038, 13739, 318, 5417, 816, 815, 834, 1701, 269, 21860, 6357, 560, 318, 760, 318, 5417, 816, 3418, 1038, 1948, 2745, 630, 321, 5802, 4751, 318, 5417, 816, 10142, 1038, 1948, 24342, 585, 5697, 7379, 8276, 2532, 1477, 1038, 1820, 9497, 315, 333, 14744, 1038, 1820, 9497, 15187, 1740, 2232, 568, 281, 4939, 338, 257, 4939, 3060, 318, 5417, 816, 3418, 1038, 1820, 9497, 289, 5802, 4751, 2232, 568, 281, 4939, 338, 257, 4939, 13739, 318, 5417, 816, 3418, 1038, 1820, 9497, 10831, 540, 4570, 14747, 829, 1016, 6339, 281, 4939, 338, 257, 4939, 1297, 15058, 318, 10676, 338, 3418, 1038, 1820, 9497, 27288, 15258, 9633, 281, 4939, 338, 257, 4939, 3552, 15258, 8548, 2532, 3418, 1038, 1820, 9497, 300, 2532, 11353, 281, 4939, 338, 257, 4939, 1297, 15058, 318, 2158, 3418, 1038, 1820, 9497, 315, 333, 257, 10142, 1038, 476, 5992, 7462, 7379, 18185, 910, 3487, 1948, 275, 476, 5992, 7462, 5897, 1038, 1948, 7049, 3130, 540, 4351, 7379, 538, 1016, 6339, 1477, 1038, 1247, 6936, 6769, 2018, 5352, 815, 3403, 2891, 7049, 4733, 4351, 28258, 2232, 689, 1016, 6339, 286, 630, 344, 14672, 2567, 834, 10142, 2018, 952, 5352, 2652, 834, 344, 257 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8490, 18242, 454, 10144, 667, 539, 5344, 547, 28742, 454, 291, 1737, 569, 8813, 610, 1022, 824, 2186, 540, 8813, 1058, 581, 15286, 676, 2348, 513, 3354, 6885, 609, 13063, 538, 621, 269, 0, 15575, 532, 3213, 1231, 4569, 10632, 454, 15575, 532, 3213, 1231, 4569, 10632, 5767, 3377, 267, 2592, 267, 2079, 827, 16534, 513, 3126, 540, 2979, 2591, 547, 4444, 7727, 585, 519, 7552, 269, 15012, 519, 631, 842, 623, 1023, 538, 8600, 585, 513, 22742, 7552, 269, 16534, 513, 3126, 540, 2979, 2591, 547, 4444, 7727, 585, 519, 7552, 269, 7982, 547, 10632, 563, 11902, 17988, 585, 25478, 3213, 1231, 4569, 10632, 454, 1432, 616, 7317, 1293, 2724, 609, 11113, 3756, 888, 11328, 5562, 4032, 14559, 2060, 3213, 1231, 3756, 5000, 3214, 547, 2259, 543, 1451, 6128, 538, 606, 7317, 267, 1187, 1259, 269, 634, 1739, 6810, 786, 7866, 875, 891, 2228, 3872, 3756, 666, 14867, 8082, 585, 519, 3237, 676, 3450, 741, 547, 1206, 547, 1293, 2724, 1034, 3274, 563, 1432, 616, 519, 2640, 540, 10203, 11113, 3756, 888, 4322, 3756, 1450, 7368, 2259, 602, 2337, 12927, 10203, 2724, 1983, 269, 4841, 849, 960, 609, 6310, 20887, 543, 1451, 547, 1205, 936, 1346, 20887, 827, 519, 1523, 540, 10203, 2724, 269, 25478, 11113, 3756, 948, 1453, 547, 2697, 29784, 267, 19695, 543, 546, 830, 543, 1293, 873, 547, 4194, 1585, 2979, 2042, 563, 1692, 547, 4001, 3214, 547, 1293, 2724, 888, 15575, 532, 2724, 568, 513, 4105, 1888, 538, 6128, 3214, 1376, 1565, 689, 6103, 2290, 269, 6732, 1565, 3756, 3986, 741, 1719, 538, 713, 1888, 676, 4543, 873, 14650, 5691, 11113, 269, 1358, 4019, 519, 2035, 540, 1840, 543, 12408, 1247, 10203, 11113, 543, 2259, 609, 1187, 2724, 3756, 563, 1692, 798, 594, 2259, 10203, 11113, 888, 2080, 616, 930, 1187, 2081, 547, 2259, 10203, 11113, 269, 12989, 596, 3580, 1265, 513, 19625, 540, 3756, 543, 2238, 547, 948, 1053, 2259, 10203, 11113, 269, 594, 723, 3323, 609, 2238, 602, 1445, 593, 7114, 11113, 543, 1287, 594, 1628, 909, 547, 10203, 11777, 10659, 269, 7994, 519, 3756, 543, 2238, 602, 1655, 948, 596, 2743, 519, 2115, 540, 707, 1053, 563, 7197, 15019, 5240, 585, 25478, 3213, 1231, 4569, 10632, 454, 15575, 532, 2060, 3213, 1231, 10794, 1923, 772, 2529, 269, 631, 842, 585, 8866, 454, 300, 2292, 910, 6657, 609, 4569, 10632, 454, 27398, 5984, 256, 3040, 12409, 8950, 10632, 543, 29393, 585, 8866, 454, 4041, 27111, 24505, 631, 24535, 312, 910, 8342, 4569, 10632, 630, 10403, 2452, 267, 7665, 5426, 264, 280, 281, 6246, 910, 476, 273, 3275, 3516, 454, 8025, 3198, 16775, 11123, 654, 2969, 6224, 5058, 256, 19850, 24053, 267, 594, 6415, 15692, 28315, 269, 634, 8262, 7465, 717, 5446, 19305, 593, 13334, 256, 772, 22744, 3232, 3802, 10843, 4429, 2171, 4312, 2016, 596, 938, 1655, 5796, 267, 855, 1354, 596, 1224, 25478, 3213, 1231, 4569, 10632, 267, 581, 2386, 547, 798, 707, 1378, 1382, 269, 634, 1739, 616, 930, 1761, 3584, 540, 14374, 912, 1432, 568, 25478, 3213, 1231, 4569, 10632, 888, 1432, 568, 519, 2104, 540, 25478, 3213, 1231, 4569, 10632, 888, 1692, 547, 25478, 3213, 1231, 4569, 10632, 888, 5978, 7270, 616, 5781, 8242, 547, 2327, 519, 1344, 3177, 568, 607, 909, 3562, 15082, 607, 2009, 538, 14621, 547, 25478, 3213, 1231, 4569, 10632, 269, 6875, 5413, 540, 4950, 2200, 547, 1265, 856, 811, 827, 721, 563, 13043, 6657, 10794, 281, 25478, 3213, 1231, 630, 24433, 264, 910, 594, 5700, 898, 454, 294, 1868, 585, 8866, 593, 25478, 14559, 609, 3213, 1231, 454, 15575, 519, 3213, 1231, 10794, 910, 4569, 10632, 910, 590, 680, 1662, 9596, 454, 15575, 2724, 281, 7591, 5131, 6732, 3040, 4569, 910, 6435, 995, 10632, 454, 293, 12767, 3143, 6261, 10517, 25478, 3213, 1231, 10794, 910, 1411, 4312, 20944, 901, 4569, 454, 15575, 532, 3213, 1231, 10794, 910, 4569, 7591, 454, 15575, 532, 3213, 1231, 10794, 1923, 11314, 1923, 4065, 2593, 454, 13043, 10794, 281, 25478, 3213, 1231, 630, 24433, 264, 910, 594, 5700, 898, 454, 291, 20462, 514, 16376, 14559, 1923, 4569, 7591, 3033, 454, 289, 12864, 14559, 4569, 10632, 1923, 4065, 2593, 454, 290, 7765, 3933, 9094, 910, 4569, 10632, 593, 519, 2561, 15188, 454, 15575, 532, 14559, 10632, 585, 8866, 6732, 910, 590, 680, 1662, 9596, 454, 10403, 25478, 14559, 10794, 547, 6657, 25478, 3267, 910, 1411, 4312, 20944, 6693, 15575, 532, 14559, 667, 823, 10632, 7981, 4065, 5020, 10341, 14559, 6693, 15575, 532, 3213, 1231, 10632, 543, 11242, 910, 12267, 676, 853, 12929, 454, 10870, 1231, 910, 631, 10248, 10794, 910, 14559, 910, 4569, 10794, 910, 2701, 653, 731, 12229, 454, 16031, 269, 715, 1380, 29231, 910, 22418, 4934, 910, 6732, 10794, 454, 309, 23450, 540, 25478, 3213, 1231, 4569, 10632, 454, 15575, 519, 2724, 9462, 496, 364, 609, 519, 948, 540, 4569, 6539, 271, 281, 1321, 910, 476, 274, 3275, 3516, 454, 310, 7159, 816, 4249, 3014, 585, 5458, 9133, 256, 9462, 496, 369, 6930, 502, 366, 2701, 814, 547, 3442, 1063, 1614, 544, 13903, 547, 1265, 856, 1018, 1200, 9133, 568, 269, 4173, 5114, 568, 865, 4429, 3674, 1250, 1422, 273, 281, 3451, 281, 1626, 910, 476, 273, 3275, 3516, 454, 30252, 290, 2761, 476, 273, 4911, 787, 3213, 778, 3057, 25070, 910, 15604, 7024, 547, 3391, 6833, 3757, 267, 2098, 1120, 1299, 5019, 1601, 689, 27705, 21597, 547, 27587, 2509, 5594, 4429, 763, 17747, 5517, 3645, 568, 2390, 721, 269, 2537, 281, 7906, 910, 476, 273, 3275, 3516, 454, 28874, 519, 8756, 6930, 490, 509, 4793, 516, 517, 281, 4179, 2517, 4178, 4877, 11128, 517, 2593, 8276, 19376, 335, 3317, 4118, 8585, 577, 281, 4429, 15812, 7566, 23126, 31072, 634, 595, 720, 1923, 7033, 2692, 306, 13610, 17004, 1923, 21768, 269, 23417, 272, 281, 1428, 281, 5379, 910, 476, 273, 3275, 3516, 454, 306, 32256, 8585, 577, 4179, 2517, 4178, 4732, 1872, 1662, 641, 16691, 22870, 807, 1335, 335, 7033, 2692, 306, 13610, 17004, 717, 27186, 8943, 281, 570, 5960, 1280, 476, 1015, 260, 5510, 3267, 0, 3080, 540, 519, 1034, 13267, 3344, 540, 11670, 568, 519, 2702, 547, 1711, 621, 856, 540, 6094, 2011, 3842, 513, 1184, 1634, 607, 968, 332, 1456, 6100, 2755, 602, 779, 513, 3787, 540, 606, 936, 13678, 680, 2305, 630, 792, 940, 11670, 568, 811, 827, 7700, 8800, 982, 620, 17057, 344, 1070, 5599, 3788, 606, 24539, 585, 3478, 593, 4604, 609, 9045, 25493, 26981, 600, 9369, 779, 968, 332, 20723, 4950, 2724, 892, 1107, 855, 568, 5599, 1869, 513, 15164, 2534, 585, 519, 3328, 1268, 3592, 513, 8717, 1310, 11670, 1101, 7902, 888, 268, 25491, 3752, 1386, 281, 1290, 564, 2048, 302, 636, 340, 600, 7699, 779, 744, 9536, 3004, 915, 800, 4112, 7134, 454, 268, 24778, 344, 576, 1186, 2098, 4861, 773, 674, 2426, 639, 769, 634, 7831, 540, 2974, 281, 1772, 898, 7464, 888, 268, 14730, 6052, 16393, 20531, 17807, 1677, 25092, 6145, 13983, 6447, 1231, 454, 268, 8331, 779, 30197, 23571, 2598, 1723, 951, 7136, 633, 8895, 1314, 625, 689, 7216, 17807, 454, 268, 3642, 13378, 21538, 623, 846, 513, 19663, 21784, 540, 2598, 15574, 454, 268, 5616, 570, 13715, 1411, 4634, 1403, 1411, 2461, 3502, 6178, 539, 769, 454, 268, 7454, 10158, 1677, 16534, 6820, 654, 9879, 286, 29034, 2033, 7232, 908, 29318, 454, 268, 6611, 311, 9412, 564, 267, 24415, 935, 476, 280, 267, 4024, 9197, 1662, 20553, 9855, 2991, 476, 278, 13012, 32374, 538, 7216, 4728, 454, 268, 6611, 13749, 18521, 9464, 634, 21784, 540, 1546, 11421, 3245, 1323, 6196, 9412, 564, 454, 268, 28463, 976, 7232, 6614, 7348, 454, 10287, 7711, 290, 657, 21573, 334, 15187, 593, 12108, 0, 5611, 267, 1822, 1765, 1194, 547, 519, 6602, 540, 19421, 540, 1007, 2249, 543, 7494, 9450, 519, 27386, 1620, 540, 519, 2371, 540, 6792, 543, 2694, 540, 3162, 3013, 563, 294, 2761, 532, 519, 3400, 701, 281, 1977, 3400, 701, 341, 710, 17848, 18450, 538, 16713, 543, 519, 2622, 454, 763, 717, 2761, 532, 519, 3400, 701, 14266, 7710, 519, 1585, 1977, 18812, 2249, 602, 616, 1034, 1031, 538, 3857, 22450, 267, 21910, 532, 267, 543, 3094, 655, 1136, 267, 543, 875, 789, 941, 543, 3136, 547, 581, 1031, 676, 519, 7111, 9082, 540, 16713, 269, 4653, 267, 891, 1977, 18812, 341, 710, 3597, 18450, 2249, 3136, 547, 1683, 1382, 2591, 607, 3744, 1353, 543, 1174, 875, 519, 3597, 18450, 2371, 7498, 288, 345, 1446, 553, 593, 21238, 454, 3080, 540, 519, 16713, 15636, 19680, 12567, 779, 1034, 20498, 5614, 2982, 568, 18188, 5510, 5174, 5802, 3118, 267, 865, 547, 3717, 269, 13018, 267, 547, 21238, 22971, 267, 519, 3135, 540, 513, 1118, 6879, 3424, 21543, 8027, 811, 982, 476, 4968, 540, 519, 12567, 779, 20842, 1446, 553, 543, 11002, 617, 30705, 6425, 269, 3371, 267, 789, 24098, 513, 1857, 1958, 648, 538, 519, 2282, 2104, 269, 1452, 1397, 344, 267, 5614, 1532, 5979, 4040, 19211, 941, 6410, 547, 21238, 22971, 538, 476, 1708, 271, 2507, 563, 763, 1773, 697, 540, 519, 3933, 1105, 543, 1548, 1411, 2052, 1684, 547, 6435, 454, 288, 10950, 21233, 547, 10651, 267, 543, 2386, 1129, 4832, 568, 4947, 547, 606, 1439, 950, 2938, 538, 1804, 2516, 267, 16313, 17984, 616, 513, 20013, 540, 853, 269, 8402, 29278, 543, 8916, 2066, 519, 2197, 269, 1809, 741, 2338, 616, 546, 13388, 1782, 267, 3744, 2161, 269, 1744, 8667, 532, 10606, 543, 29510, 21073, 769, 5147, 476, 1708, 273, 267, 519, 4139, 5742, 585, 11094, 540, 7186, 267, 7498, 7804, 269, 17555, 1772, 8475, 25109, 5112, 281, 15636, 19680, 16140, 3691, 6033, 454, 1103, 476, 6245, 276, 267, 17555, 1772, 8475, 25109, 5112, 1131, 1831, 519, 1101, 2875, 1765, 1993, 1022, 4008, 23121, 7118, 513, 12854, 689, 6115, 2160, 563, 9928, 2651, 3414, 519, 12567, 281, 5239, 454, 8450, 519, 12567, 538, 922, 5239, 4778, 538, 891, 476, 1789, 5172, 6337, 540, 519, 3923, 563, 12648, 3776, 10326, 9517, 13658, 454, 4322, 555, 1941, 344, 2055, 949, 6978, 596, 4743, 10808, 267, 855, 1294, 952, 596, 666, 20630, 891, 4557, 2055, 827, 4054, 563, 763, 15636, 534, 1944, 30814, 15443, 28371, 454, 763, 16713, 15636, 19680, 12567, 568, 1753, 547, 811, 982, 5722, 2929, 2030, 15013, 269, 769, 1840, 547, 922, 1909, 607, 513, 1382, 1907, 585, 7762, 534, 1235, 267, 621, 568, 849, 513, 6885, 883, 1686, 269, 3962, 19494, 6645, 513, 1650, 1765, 6618, 532, 1004, 267, 2371, 267, 543, 4025, 269, 634, 12567, 779, 10786, 10740, 666, 2995, 721, 827, 519, 2038, 4876, 540, 14262, 7762, 534, 626, 6723, 6115, 7498, 1789, 12085, 1411, 631, 697, 3502, 5700, 6168, 519, 29725, 520, 1258, 454, 763, 29725, 520, 1258, 10378, 568, 606, 11265, 14952, 4904, 547, 519, 1490, 574, 609, 9341, 2371, 689, 782, 936, 519, 1158, 269, 589, 2603, 814, 5949, 538, 519, 476, 2568, 1296, 2094, 621, 1101, 8118, 547, 519, 1857, 269, 3245, 1686, 547, 1402, 2528, 267, 543, 1256, 606, 32613, 1807, 7237, 267, 1934, 616, 476, 1789, 1919, 596, 1522, 711, 917, 827, 519, 29725, 520, 1258, 269, 769, 7498, 301, 8233, 338, 540, 519, 12567, 281, 634, 4826, 700, 25788, 676, 1488, 16435, 534, 454, 301, 8233, 338, 540, 519, 12567, 281, 634, 4826, 700, 25788, 676, 1488, 16435, 534, 568, 4867, 8704, 538, 519, 15537, 543, 8834, 590, 778, 338, 7467, 282, 1498, 519, 12567, 568, 1930, 547, 519, 1857, 267, 519, 7467, 568, 4867, 6806, 1813, 547, 519, 5046, 268, 866, 6855, 267, 855, 519, 14266, 786, 581, 14648, 3842, 1896, 3059, 17008, 4947, 4166, 269, 7490, 2638, 519, 7467, 3135, 585, 7498, 9928, 2651, 3414, 14400, 281, 4864, 454, 9928, 2651, 998, 4832, 609, 519, 1283, 476, 1789, 6337, 689, 519, 16713, 15636, 19680, 12567, 713, 4864, 563, 9928, 2651, 3414, 14400, 281, 5147, 454, 763, 14246, 540, 519, 5147, 3141, 5036, 1055, 513, 535, 1066, 5414, 540, 2208, 607, 2371, 3914, 585, 519, 8445, 540, 741, 1761, 269, 634, 10347, 16719, 540, 5614, 543, 2038, 4832, 15052, 267, 543, 2371, 602, 941, 1507, 543, 18803, 1175, 4374, 3516, 1631, 8267, 332, 519, 5251, 609, 23292, 2681, 269, 631, 1749, 28026, 538, 853, 269, 8402, 568, 711, 7429, 4365, 2507, 0, 12850, 20317, 568, 3989, 607, 519, 3668, 540, 15195, 2200, 547, 2743, 519, 3044, 3747, 585, 1216, 269, 1284, 616, 6849, 513, 6433, 540, 1216, 538, 519, 2518, 9183, 267, 4352, 519, 3618, 779, 2627, 568, 4904, 609, 936, 476, 4037, 260, 540, 1216, 267, 1152, 1472, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1432, 568, 519, 3017, 1063, 1178, 1188, 956, 543, 524, 4900, 888, 24836, 1188, 956, 543, 595, 4900, 4866, 547, 1114, 3885, 282, 1178, 1188, 956, 616, 9079, 614, 1749, 1247, 524, 4900, 616, 1351, 341, 1749, 269, 595, 4900, 616, 849, 3622, 3677, 543, 18219, 982, 1178, 1188, 956, 543, 723, 1114, 11954, 4064, 269, 769, 2474, 540, 4638, 3897, 6973, 1143, 267, 519, 1178, 1188, 956, 20546, 519, 524, 4900, 563, 6701, 1178, 1188, 956, 607, 2462, 607, 524, 4900, 888, 6097, 547, 519, 12590, 10748, 889, 517, 5980, 267, 524, 4900, 616, 7466, 607, 1804, 607, 1178, 1188, 956, 543, 616, 3109, 689, 581, 752, 547, 23179, 269, 1358, 4076, 849, 3893, 3677, 581, 6545, 267, 6626, 12209, 543, 513, 8937, 339, 1116, 524, 1177, 563, 1432, 568, 513, 26600, 540, 524, 4900, 1572, 888, 288, 1895, 540, 524, 4900, 568, 1572, 513, 968, 332, 584, 1457, 1848, 1703, 616, 1896, 1114, 3137, 585, 519, 5169, 540, 713, 2165, 267, 6140, 1759, 593, 2025, 12563, 8941, 543, 22530, 1431, 269, 1280, 3236, 267, 972, 568, 513, 12563, 339, 1446, 602, 524, 4900, 786, 5531, 543, 6430, 519, 3854, 12556, 540, 1776, 7715, 563, 3963, 568, 513, 26600, 540, 524, 4900, 1572, 15294, 619, 888, 3080, 2829, 602, 524, 4900, 1419, 786, 2097, 1927, 543, 968, 20657, 728, 519, 3854, 12556, 540, 1776, 7715, 1848, 6271, 2009, 5169, 2501, 689, 1004, 945, 2070, 519, 968, 1952, 30970, 540, 524, 4900, 607, 606, 522, 5443, 540, 2669, 1848, 4746, 267, 519, 8360, 968, 332, 584, 1457, 540, 524, 4900, 892, 2501, 689, 513, 942, 538, 1686, 950, 2516, 540, 2831, 941, 4330, 538, 1114, 2081, 563, 6701, 1178, 1188, 956, 538, 519, 7715, 1920, 888, 15987, 789, 616, 1142, 1804, 4158, 11954, 5017, 267, 1178, 1188, 956, 616, 711, 1644, 547, 524, 4900, 269, 3400, 1188, 956, 616, 538, 519, 594, 551, 518, 13160, 267, 610, 3109, 12704, 1920, 267, 799, 2882, 610, 2723, 525, 543, 10800, 18346, 269, 595, 4900, 616, 1351, 341, 1749, 267, 811, 5702, 1644, 547, 795, 904, 543, 4012, 335, 625, 563, 1432, 568, 513, 1895, 540, 1178, 1188, 956, 1572, 888, 14503, 4169, 540, 524, 4900, 616, 1572, 513, 968, 332, 584, 1457, 2223, 543, 1166, 4169, 540, 1178, 1188, 956, 616, 1572, 513, 968, 680, 6558, 1848, 594, 666, 1140, 652, 547, 519, 2012, 267, 1256, 952, 585, 1152, 1896, 3764, 563, 6701, 1178, 1188, 956, 5100, 899, 524, 4900, 888, 24836, 1188, 956, 616, 9425, 5100, 267, 855, 789, 616, 711, 2808, 547, 581, 607, 5100, 607, 1978, 824, 5017, 899, 524, 4900, 267, 986, 26223, 267, 543, 4012, 335, 625, 269, 3400, 1188, 956, 616, 5100, 2614, 547, 4137, 856, 1141, 547, 1265, 606, 2653, 7594, 543, 2697, 602, 513, 29057, 322, 992, 3884, 1406, 1483, 267, 855, 789, 616, 711, 2111, 547, 946, 2645, 610, 17932, 519, 4992, 540, 824, 5017, 563, 1432, 616, 476, 274, 524, 4900, 1572, 888, 763, 1034, 2442, 540, 891, 568, 1634, 607, 513, 12638, 267, 855, 513, 1895, 540, 524, 4900, 666, 849, 581, 1572, 513, 554, 867, 324, 267, 4254, 267, 1590, 518, 267, 610, 1612, 4897, 269, 2755, 649, 917, 1079, 610, 1614, 5017, 1810, 1406, 13822, 513, 26600, 267, 972, 568, 1100, 1305, 1297, 540, 5017, 2877, 547, 1289, 513, 1895, 513, 26600, 267, 543, 621, 1419, 5673, 593, 741, 1514, 2623, 630, 273, 1916, 3963, 798, 1178, 1188, 956, 29677, 524, 4900, 888, 5445, 3335, 798, 713, 538, 606, 4674, 547, 5397, 2476, 1761, 11975, 689, 513, 9960, 8513, 267, 513, 9566, 610, 1762, 267, 610, 513, 1875, 3691, 5338, 1753, 2039, 269, 5871, 4254, 1499, 1331, 7105, 1228, 525, 267, 5707, 332, 823, 267, 4622, 18346, 267, 3109, 18346, 267, 1178, 1188, 956, 267, 795, 904, 267, 543, 524, 4900, 269, 0, 268, 4855, 513, 20417, 454, 268, 3733, 20417, 29791, 454, 268, 10812, 3004, 2812, 454, 268, 6168, 2974, 454, 268, 5192, 12833, 9407, 454, 7212, 4092, 1369, 2653, 3914, 540, 519, 6115, 267, 667, 5861, 1421, 1558, 549, 1858, 267, 519, 4095, 10361, 12565, 20417, 538, 7013, 15930, 4667, 2484, 6569, 689, 519, 646, 8157, 10605, 540, 4683, 1272, 269, 634, 476, 1724, 28902, 21490, 7841, 13652, 559, 12599, 7258, 524, 872, 802, 543, 998, 18137, 28870, 2066, 8176, 6019, 689, 519, 4884, 540, 4095, 10361, 593, 519, 8000, 558, 659, 5211, 547, 519, 24654, 2146, 540, 6519, 26111, 563, 763, 13009, 5205, 513, 5449, 16456, 1899, 3710, 538, 476, 4489, 279, 547, 3560, 24101, 13807, 625, 547, 519, 772, 2529, 269, 13108, 779, 9604, 9744, 3710, 593, 519, 4095, 10361, 25345, 6772, 8504, 519, 8000, 558, 659, 5211, 269, 634, 9744, 267, 4171, 2012, 543, 5692, 814, 4957, 936, 519, 1296, 267, 1869, 6818, 267, 855, 519, 16456, 23725, 528, 568, 1100, 3476, 2877, 543, 729, 11843, 547, 8176, 6019, 896, 519, 4972, 540, 519, 25181, 779, 8549, 14924, 547, 20088, 5358, 269, 634, 9456, 1439, 540, 519, 13009, 8118, 538, 476, 1220, 280, 563, 763, 13009, 6238, 593, 4223, 1154, 569, 22971, 2282, 519, 19235, 540, 519, 25220, 17183, 2782, 11071, 4741, 267, 513, 9744, 602, 3893, 922, 1376, 538, 476, 6245, 271, 607, 513, 9604, 3490, 269, 634, 4884, 540, 4095, 10361, 8057, 909, 1472, 519, 3490, 543, 729, 11368, 538, 476, 4572, 271, 269, 10871, 3401, 2161, 519, 4884, 779, 2012, 568, 1034, 2693, 6508, 689, 519, 25345, 1141, 519, 4884, 18795, 630, 4385, 607, 519, 4095, 10361, 4133, 264, 543, 519, 1325, 12455, 638, 1014, 9082, 945, 2899, 5030, 1934, 269, 634, 1858, 779, 7087, 2146, 814, 21936, 539, 585, 519, 2012, 547, 581, 4957, 267, 2705, 267, 7682, 532, 602, 621, 782, 26360, 547, 5208, 1102, 21719, 593, 873, 538, 1296, 2250, 563, 2467, 779, 1100, 18736, 693, 519, 13009, 3650, 593, 4223, 1154, 569, 10158, 269, 20417, 3755, 666, 6288, 693, 24898, 19159, 5244, 610, 22810, 5682, 5244, 267, 827, 476, 271, 269, 274, 13304, 5087, 540, 519, 13009, 3650, 267, 543, 1246, 4191, 2066, 4095, 10361, 23681, 270, 13270, 476, 13975, 547, 519, 13009, 3650, 563, 23175, 532, 7532, 1189, 267, 519, 13009, 3762, 519, 4884, 543, 10596, 513, 2647, 268, 13449, 2070, 540, 519, 19126, 4478, 20917, 1177, 2674, 15880, 267, 513, 29815, 776, 540, 519, 8000, 558, 659, 5211, 543, 513, 11327, 9960, 1609, 4231, 585, 27436, 3165, 269, 634, 13009, 849, 10596, 1079, 824, 29815, 2456, 267, 6196, 19716, 14840, 543, 30926, 15880, 267, 607, 1134, 607, 1614, 7320, 2359, 543, 2825, 2127, 269, 1744, 17369, 31991, 8436, 949, 5544, 3552, 2881, 12399, 267, 13650, 267, 1200, 976, 267, 24052, 32608, 267, 19838, 28905, 267, 543, 513, 3099, 540, 1216, 325, 25717, 689, 519, 13009, 269, 16819, 2914, 520, 7129, 723, 4857, 5176, 476, 5611, 1114, 2249, 540, 5017, 2059, 519, 23725, 528, 563, 763, 13009, 2306, 513, 6366, 543, 1419, 2786, 2196, 547, 6519, 26111, 593, 513, 476, 1015, 20356, 17253, 21490, 2619, 609, 6371, 344, 17525, 5781, 9738, 676, 519, 10315, 269, 1411, 3580, 1780, 513, 561, 1176, 11432, 693, 645, 17056, 18718, 10003, 827, 476, 276, 269, 276, 5195, 856, 689, 4095, 10361, 267, 855, 1034, 540, 519, 8905, 568, 536, 23912, 676, 7733, 543, 3484, 268, 1633, 269, 31453, 585, 18736, 693, 3444, 30030, 543, 17573, 15409, 30079, 267, 972, 616, 1100, 2533, 630, 7945, 607, 1426, 264, 2394, 596, 3914, 6519, 26111, 267, 1141, 972, 568, 18736, 693, 519, 13009, 3650, 563, 15575, 344, 8387, 616, 4867, 4058, 606, 10137, 7532, 547, 24806, 6807, 602, 1223, 5595, 519, 13009, 779, 3259, 543, 1921, 621, 547, 519, 8422, 3502, 577, 20417, 267, 513, 476, 1724, 28902, 13009, 602, 9843, 883, 853, 269, 6307, 779, 6019, 563, 2467, 568, 1100, 18736, 693, 519, 4223, 1154, 569, 22971, 13009, 3650, 538, 4095, 10361, 267, 855, 972, 568, 15792, 18736, 2066, 3557, 27953, 476, 13975, 693, 2901, 519, 22810, 5682, 16011, 5244, 610, 24898, 19159, 5244, 630, 6200, 16362, 27508, 28818, 1040, 1677, 1569, 713, 18736, 2603, 267, 1491, 4095, 10361, 23681, 13478, 305, 476, 13975, 5045, 689, 10783, 6115, 267, 15930, 267, 2490, 1318, 5196, 30086, 4486, 20000, 543, 1287, 2451, 5196, 16362, 27508, 28818, 269, 16952, 4095, 10361, 18736, 568, 593, 12389, 8725, 681, 323, 270, 13270, 476, 23470, 267, 476, 271, 269, 275, 13304, 7532, 540, 8316, 25079, 10003, 270, 13270, 476, 18597, 563, 303, 1046, 532, 568, 849, 2139, 1055, 645, 839, 6807, 10003, 13478, 305, 476, 26631, 5045, 540, 645, 839, 6807, 267, 593, 11894, 10830, 10003, 5087, 540, 21244, 4856, 1676, 10003, 543, 538, 6519, 26111, 267, 972, 568, 18736, 676, 519, 4095, 10361, 20417, 3650, 630, 10441, 1015, 31187, 5682, 2349, 341, 323, 267, 1063, 21388, 700, 333, 543, 8176, 9061, 532, 3220, 1070, 593, 5664, 26165, 681, 323, 630, 271, 269, 273, 13304, 5087, 540, 21244, 4856, 1676, 681, 323, 270, 13270, 476, 25375, 1070, 543, 676, 645, 839, 6807, 5244, 630, 277, 7176, 271, 645, 839, 6807, 681, 323, 676, 7605, 773, 2494, 528, 3220, 1040, 634, 6288, 568, 476, 271, 269, 276, 13304, 5087, 540, 519, 13009, 2059, 645, 839, 6807, 681, 323, 563, 9199, 559, 29791, 568, 513, 1863, 3028, 3177, 676, 681, 5661, 3562, 6874, 571, 2812, 11122, 3599, 454, 5416, 1875, 17416, 264, 543, 649, 991, 707, 1489, 256, 0, 347, 16954, 1637, 1475, 16348, 269, 276, 8536, 630, 1001, 278, 10245, 347, 25821, 640, 1475, 15996, 18699, 1315, 476, 2004, 1200, 16379, 543, 476, 6110, 18699, 1315, 476, 2004, 1200, 16379, 630, 292, 1755, 680, 1872, 267, 7392, 661, 10245, 347, 11742, 7997, 1475, 7473, 290, 266, 6734, 281, 876, 267, 4095, 270, 9802, 582, 974, 2008, 347, 539, 527, 593, 22816, 573, 1092, 2008, 305, 600, 24460, 568, 519, 476, 280, 628, 543, 2868, 5006, 3923, 538, 519, 9099, 11706, 543, 16569, 476, 3066, 1700, 1789, 2395, 269, 12356, 3728, 1169, 1554, 585, 922, 8653, 543, 1034, 14060, 786, 581, 6806, 2394, 519, 3728, 9397, 693, 546, 23677, 269, 23875, 630, 10175, 1216, 543, 13189, 264, 568, 9277, 547, 1780, 998, 519, 17534, 689, 21554, 547, 23863, 269, 6348, 5336, 639, 32093, 616, 23614, 689, 713, 267, 855, 1058, 1869, 31831, 689, 4189, 610, 6704, 538, 1857, 607, 713, 568, 2808, 1360, 791, 565, 924, 269, 11554, 3108, 616, 8519, 607, 1134, 538, 519, 9746, 1158, 269, 1401, 716, 7389, 540, 30782, 4096, 593, 2199, 24666, 7422, 543, 949, 4268, 10169, 689, 2197, 547, 2197, 269, 30782, 20147, 609, 519, 13037, 540, 661, 573, 620, 6363, 527, 337, 267, 799, 949, 2063, 1896, 2395, 267, 2356, 1614, 538, 1034, 2477, 563, 2252, 596, 2811, 4058, 547, 2951, 547, 2904, 582, 974, 1282, 30782, 267, 2015, 2542, 13488, 1782, 1282, 30782, 563, 9802, 582, 974, 729, 524, 17660, 547, 5333, 2059, 609, 519, 824, 10195, 540, 519, 1290, 528, 657, 1895, 538, 476, 7277, 274, 269, 1879, 1290, 528, 657, 20366, 585, 7115, 538, 519, 476, 3192, 271, 338, 267, 2904, 582, 974, 4956, 547, 2611, 513, 3943, 834, 3712, 29193, 2580, 2705, 519, 6532, 568, 10645, 676, 1290, 528, 657, 269, 769, 4728, 476, 1220, 280, 267, 519, 10195, 20366, 11566, 569, 630, 4817, 269, 273, 8472, 547, 1831, 5333, 781, 476, 6200, 560, 1412, 24119, 27525, 618, 262, 2500, 538, 476, 1001, 272, 269, 634, 6532, 568, 476, 4817, 260, 7332, 543, 1082, 7332, 9821, 971, 607, 21657, 18081, 267, 9099, 30816, 1876, 267, 543, 5256, 17282, 941, 28125, 267, 4352, 782, 941, 20328, 538, 13076, 609, 3943, 1876, 607, 540, 476, 1001, 272, 269, 589, 1804, 6871, 540, 519, 6532, 781, 2551, 568, 7768, 540, 10363, 30659, 689, 30240, 1290, 528, 657, 269, 6736, 1373, 513, 851, 540, 5333, 267, 1447, 982, 3368, 540, 519, 2551, 1174, 3943, 543, 1360, 1906, 3717, 3943, 2770, 1836, 563, 307, 7211, 282, 7286, 282, 3905, 267, 18519, 267, 24925, 4005, 1282, 27040, 30734, 630, 21776, 547, 2904, 5148, 3819, 4005, 568, 16830, 630, 9802, 547, 5437, 1916, 23744, 3768, 6819, 267, 609, 2620, 30635, 1149, 543, 3504, 15027, 19589, 563, 4504, 262, 21080, 3331, 492, 956, 3096, 606, 14408, 5723, 268, 22430, 289, 8484, 547, 3095, 2904, 582, 974, 547, 1323, 329, 537, 534, 543, 5651, 18223, 1896, 2053, 513, 3018, 563, 763, 3119, 2823, 568, 667, 5633, 3716, 17844, 269, 12113, 787, 3028, 547, 1323, 329, 537, 534, 543, 9835, 324, 1290, 648, 568, 26742, 19631 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 519, 3483, 540, 713, 1353, 729, 547, 1020, 606, 5316, 1081, 540, 7292, 270, 30710, 1072, 13103, 630, 732, 24863, 264, 4336, 513, 13418, 3732, 540, 15938, 2852, 1053, 630, 333, 815, 476, 275, 2537, 264, 693, 2185, 4571, 13523, 563, 1001, 279, 268, 277, 268, 1556, 1620, 7292, 1299, 6803, 13103, 829, 519, 524, 26501, 781, 476, 1001, 276, 1072, 1867, 267, 5198, 568, 513, 1514, 4020, 6766, 676, 513, 1950, 1305, 540, 2188, 20357, 540, 519, 6988, 543, 7411, 538, 12497, 1944, 543, 10747, 5198, 267, 607, 1134, 607, 519, 2810, 6041, 540, 7292, 543, 6803, 1016, 25364, 538, 519, 8087, 2829, 267, 7292, 8760, 269, 476, 1001, 277, 268, 275, 268, 2918, 513, 1804, 1560, 540, 1382, 14439, 5812, 7292, 543, 6803, 13103, 602, 2291, 538, 1072, 1416, 16113, 267, 519, 20576, 540, 4915, 779, 1867, 21376, 269, 476, 1001, 275, 268, 272, 268, 279, 533, 272, 281, 575, 323, 342, 14774, 543, 1126, 1072, 4760, 630, 332, 659, 328, 264, 6032, 278, 5379, 2173, 659, 328, 268, 29121, 11260, 27095, 5324, 476, 1691, 267, 476, 1220, 274, 476, 1691, 281, 7918, 2511, 19509, 548, 4528, 795, 2317, 476, 2420, 267, 476, 1220, 273, 7292, 13103, 538, 563, 28893, 22988, 616, 23948, 730, 538, 1533, 30813, 2066, 519, 2197, 693, 811, 982, 2947, 2053, 519, 2557, 540, 16543, 267, 543, 1224, 811, 1547, 476, 1220, 276, 268, 274, 268, 272, 7292, 13103, 538, 9019, 936, 942, 2992, 28836, 11444, 547, 519, 1699, 1804, 7292, 13103, 538, 1072, 519, 10821, 5834, 540, 19052, 22988, 568, 1164, 543, 10058, 267, 543, 519, 1644, 31716, 538, 8378, 5054, 267, 14227, 6381, 267, 543, 2564, 1416, 616, 1271, 2188, 269, 476, 1001, 278, 268, 273, 268, 1015, 2551, 1072, 2877, 7459, 547, 2569, 7292, 270, 30710, 13103, 538, 1072, 30602, 678, 13275, 338, 3771, 10542, 6280, 1130, 24809, 269, 634, 4099, 585, 3053, 732, 14223, 267, 568, 513, 3084, 18758, 267, 1875, 4820, 16388, 1876, 3919, 602, 2488, 2069, 267, 14223, 543, 3656, 6351, 547, 948, 4587, 1004, 543, 1004, 609, 9124, 3489, 4023, 1569, 547, 3053, 732, 543, 2298, 1072, 1416, 269, 18601, 7292, 543, 6803, 13103, 568, 513, 6249, 9846, 1459, 538, 524, 329, 329, 337, 779, 14245, 543, 12326, 2630, 616, 513, 1906, 2200, 524, 329, 329, 337, 814, 2919, 547, 269, 1001, 279, 268, 277, 268, 279, 476, 272, 4227, 7292, 543, 6803, 1072, 13103, 14656, 519, 7934, 9886, 1982, 7662, 585, 3156, 678, 17304, 1948, 281, 476, 1691, 268, 24879, 3498, 4808, 535, 344, 476, 1001, 275, 268, 1001, 276, 269, 476, 1001, 278, 268, 1556, 268, 1626, 7114, 7292, 543, 6803, 13103, 538, 1480, 2533, 513, 12497, 5943, 543, 3332, 2689, 1382, 1867, 6710, 267, 13438, 267, 543, 519, 1514, 3106, 2121, 269, 476, 1220, 277, 268, 274, 268, 1704, 1863, 2407, 17856, 630, 23486, 264, 1923, 519, 1297, 540, 7292, 270, 30710, 12102, 1453, 786, 9765, 519, 1297, 540, 1875, 2000, 520, 3626, 3043, 1453, 538, 519, 8087, 2829, 676, 476, 10711, 271, 267, 855, 2370, 568, 1634, 827, 7292, 270, 30710, 13103, 538, 3461, 3106, 267, 3226, 950, 621, 269, 476, 1001, 272, 268, 277, 268, 280, 519, 4099, 585, 2146, 3435, 3040, 4058, 1299, 2962, 3040, 5104, 569, 267, 476, 1001, 271, 476, 1321, 7292, 270, 30710, 1072, 13103, 538, 22583, 19315, 1470, 676, 3675, 324, 513, 3062, 3609, 543, 4058, 12314, 676, 1665, 521, 16226, 267, 943, 323, 563, 1001, 279, 268, 275, 268, 275, 5087, 1286, 565, 2088, 1072, 9698, 1867, 476, 1001, 279, 3040, 7292, 543, 6803, 1072, 13103, 538, 5087, 1286, 565, 2088, 476, 273, 1620, 269, 476, 1001, 276, 268, 277, 268, 1839, 536, 1066, 22974, 4099, 585, 5126, 4227, 7292, 543, 6803, 13103, 538, 795, 5661, 7840, 585, 522, 5632, 561, 2259, 795, 612, 3821, 552, 698, 4802, 543, 546, 1415, 16279, 1151, 14137, 269, 15448, 538, 4008, 543, 7292, 270, 30710, 13103, 538, 3928, 540, 16906, 946, 267, 2834, 5230, 8398, 21288, 6704, 267, 543, 17089, 946, 281, 6502, 476, 1691, 547, 476, 3953, 563, 1001, 279, 268, 274, 268, 279, 2962, 689, 519, 1647, 2443, 19353, 2443, 547, 2569, 7292, 270, 30710, 31716, 538, 1416, 281, 1210, 519, 968, 11155, 3151, 20617, 892, 5859, 1996, 1970, 17032, 1416, 607, 513, 2203, 585, 5466, 7292, 270, 30710, 13103, 538, 1072, 1416, 269, 715, 322, 3841, 568, 513, 1895, 540, 7803, 5126, 8639, 1765, 718, 7255, 827, 7292, 543, 6803, 13103, 538, 519, 7803, 543, 11174, 5126, 1949, 269, 589, 1249, 6656, 602, 6257, 519, 11841, 543, 2669, 3928, 585, 5697, 11871, 1851, 7292, 543, 6803, 2516, 2713, 538, 519, 8087, 2829, 269, 476, 1001, 279, 268, 273, 268, 278, 4622, 10315, 7292, 29373, 1239, 562, 4912, 476, 1001, 276, 14344, 602, 7292, 543, 6803, 13103, 2066, 519, 8087, 2829, 543, 1267, 538, 19018, 622, 6414, 269, 0, 19669, 11082, 27876, 883, 7187, 4993, 538, 476, 7277, 279, 1813, 547, 519, 4993, 7108, 27538, 267, 2810, 519, 1875, 268, 24465, 2551, 540, 4993, 689, 476, 1724, 267, 1822, 547, 1134, 936, 476, 4968, 267, 1822, 538, 2370, 811, 982, 513, 8717, 269, 634, 6727, 27614, 540, 19379, 543, 13896, 593, 1283, 540, 519, 5176, 476, 4968, 267, 1822, 7111, 4892, 2713, 538, 519, 1858, 2269, 1441, 2230, 543, 2200, 563, 1103, 476, 6977, 272, 267, 519, 19742, 17294, 540, 4993, 10294, 267, 834, 6546, 513, 2112, 540, 608, 3410, 1588, 786, 3136, 547, 581, 530, 3042, 267, 2394, 519, 4095, 5198, 3587, 17255, 267, 1590, 581, 4397, 1701, 901, 20772, 4166, 1336, 922, 1259, 883, 1876, 269, 1323, 476, 6977, 272, 15424, 2268, 711, 1152, 5795, 13896, 519, 1318, 547, 10891, 561, 2106, 577, 4254, 338, 547, 6146, 12075, 267, 855, 4847, 873, 547, 10505, 741, 9276, 547, 519, 2229, 269, 1635, 476, 6977, 273, 519, 1533, 1185, 17101, 936, 513, 2929, 9489, 538, 971, 6811, 563, 4002, 2904, 476, 1428, 267, 476, 6977, 275, 267, 3670, 16713, 2861, 17701, 3366, 676, 623, 15127, 1306, 321, 650, 5949, 2390, 18471, 9503, 1247, 10478, 585, 513, 8905, 1063, 1284, 11232, 6807, 267, 606, 9703, 5599, 4099, 267, 543, 8891, 531, 6373, 267, 606, 1271, 5757, 2823, 269, 18471, 9503, 729, 538, 606, 9678, 267, 2352, 547, 1569, 3148, 540, 519, 11076, 16186, 267, 3850, 621, 547, 2611, 5266, 2150, 31189, 676, 13896, 543, 19379, 547, 713, 1448, 269, 2755, 15385, 513, 803, 20760, 267, 519, 17701, 19481, 3350, 538, 519, 6371, 543, 7691, 602, 12075, 941, 538, 519, 14860, 563, 2026, 321, 650, 7150, 267, 834, 2171, 4312, 2097, 513, 1279, 1259, 689, 16713, 547, 12398, 713, 1747, 1862, 606, 262, 581, 2481, 2740, 952, 530, 24513, 4802, 262, 6371, 1412, 1638, 1832, 721, 2476, 256, 27707, 513, 1700, 3835, 540, 586, 518, 9604, 1765, 933, 262, 12584, 616, 979, 514, 262, 538, 30882, 763, 5428, 8399, 539, 547, 513, 524, 9127, 5127, 1141, 789, 11402, 513, 1804, 11175, 540, 962, 25431, 269, 3414, 519, 4999, 540, 9120, 14049, 787, 267, 9640, 267, 543, 5059, 8247, 267, 519, 5428, 7166, 5111, 476, 2412, 540, 519, 1004, 563, 10468, 2416, 1306, 321, 650, 6862, 1022, 540, 1010, 8284, 13896, 941, 9901, 609, 1022, 23659, 29342, 766, 585, 11318, 519, 1875, 628, 17816, 12075, 269, 1306, 321, 650, 18423, 593, 547, 6968, 519, 2244, 543, 5555, 3459, 32043, 6260, 543, 19338, 962, 25431, 2021, 547, 581, 4421, 547, 1875, 268, 24465, 2367, 3544, 540, 519, 14860, 269, 1306, 321, 650, 4421, 476, 3374, 2021, 538, 713, 6073, 676, 476, 6977, 276, 563, 18814, 547, 18471, 9503, 781, 6552, 4087, 267, 621, 2968, 513, 10278, 585, 824, 12075, 519, 13896, 1185, 7142, 1055, 741, 3338, 267, 543, 4166, 922, 5065, 2551, 2220, 8215, 547, 476, 736, 267, 1822, 267, 1247, 519, 6519, 13896, 538, 519, 1858, 7283, 513, 1906, 18797, 269, 2060, 741, 13671, 543, 7925, 2990, 630, 531, 784, 609, 519, 476, 6977, 271, 4993, 1876, 834, 8002, 585, 519, 6554, 543, 10466, 540, 12075, 2437, 799, 3656, 1242, 519, 32043, 6260, 543, 7142, 1425, 3363, 540, 12075, 676, 6519, 1305, 1562, 1070, 10553, 986, 1749, 1996, 519, 18471, 9503, 12075, 2968, 1455, 269, 4329, 4655, 4166, 3366, 547, 22681, 6285, 5921, 547, 5397, 519, 12075, 689, 519, 14860, 630, 5408, 18471, 9503, 5590, 339, 2401, 7136, 659, 637, 540, 476, 6977, 277, 910, 476, 6977, 280, 543, 21780, 665, 3626, 2782, 1040, 1635, 476, 5908, 271, 782, 6967, 962, 25431, 12075, 1185, 1044, 7142, 883, 31681, 269, 769, 519, 476, 6642, 271, 338, 267, 13896, 3459, 2921, 936, 519, 30063, 3338, 799, 1128, 580, 730, 1776, 834, 8705, 257, 630, 5408, 18471, 9503, 2782, 1070, 4611, 538, 519, 2417, 2530, 540, 2244, 543, 2729, 676, 519, 962, 25431, 12075, 563, 268, 18471, 9503, 5590, 339, 2401, 7136, 659, 637, 540, 476, 6977, 277, 910, 476, 6977, 280, 454, 268, 21780, 665, 3626, 2782, 454, 268, 18471, 9503, 2782, 454, 268, 5903, 540, 4095, 2527, 659, 637, 454, 268, 30323, 337, 321, 965, 476, 1960, 279, 267, 533, 269, 476, 279, 454, 268, 17394, 476, 5908, 275, 267, 533, 269, 476, 2764, 454, 268, 4260, 11594, 540, 519, 22694, 1155, 540, 519, 3557, 540, 4993, 476, 6977, 272, 267, 533, 269, 476, 1428, 563, 268, 29336, 534, 1723, 476, 2735, 272, 454, 268, 8496, 2917, 476, 1220, 279, 267, 6032, 269, 476, 24062, 1700, 19054, 454, 268, 1306, 321, 650, 476, 3192, 276, 267, 6032, 269, 476, 1240, 1700, 866, 454, 268, 8496, 2917, 476, 1220, 279, 267, 6032, 269, 476, 24062, 1700, 19054, 454, 268, 6022, 1067, 476, 6642, 271, 267, 6032, 269, 476, 3393, 280, 267, 476, 276, 4817, 1700, 6795, 277, 454, 268, 1306, 321, 650, 476, 3192, 276, 267, 6032, 269, 476, 4097, 1700, 3374, 267, 476, 6246, 454, 268, 6465, 2373, 540, 4993, 476, 6977, 271, 267, 533, 269, 476, 2412, 279, 268, 25148, 563, 268, 29336, 534, 1723, 476, 2735, 272, 267, 533, 269, 476, 2412, 267, 11820, 454, 268, 670, 4669, 5964, 476, 2735, 279, 267, 6032, 269, 476, 15782, 1700, 14530, 454, 268, 1306, 321, 650, 267, 7671, 282, 26396, 2917, 267, 14803, 548, 630, 3192, 276, 1040, 634, 7831, 540, 519, 4639, 269, 1715, 3840, 563, 268, 29336, 534, 1723, 267, 22118, 6229, 282, 2142, 731, 267, 6480, 548, 630, 1960, 279, 1040, 2637, 17462, 543, 966, 754, 24297, 267, 519, 18471, 9503, 12668, 540, 3345, 4993, 269, 20588, 563, 268, 670, 4669, 5964, 267, 15751, 630, 2735, 279, 1040, 4095, 27834, 593, 519, 4993, 13571, 1512, 269, 1715, 670, 13273, 563, 268, 4260, 11594, 540, 519, 22694, 1155, 540, 519, 3557, 540, 4993, 693, 922, 5822, 29140, 630, 27751, 1040, 5842, 8277, 269, 476, 6977, 272, 563, 268, 17394, 267, 9478, 630, 5908, 275, 1040, 15510, 540, 519, 2136, 2276, 538, 476, 5908, 271, 269, 6115, 267, 9823, 281, 7330, 6554, 563, 268, 8496, 2917, 267, 18148, 630, 1220, 279, 1040, 834, 30210, 781, 962, 25431, 12075, 281, 20223, 2637, 17462, 538, 7111, 1977, 3778, 2668, 5375, 8466, 22588, 569, 269, 476, 4375, 281, 476, 24062, 1700, 28590, 563, 268, 6022, 1067, 267, 10370, 2006, 630, 6642, 271, 1040, 3778, 540, 21780, 665, 3626, 269, 5842, 12770, 563, 268, 30323, 337, 321, 965, 267, 29346, 630, 1960, 279, 1040, 17963, 540, 7108, 281, 634, 4993, 7108, 27538, 543, 519, 1977, 13780, 269, 20588, 563, 268, 6465, 2373, 540, 4993, 267, 10426, 539, 693, 519, 3689, 29140, 540, 519, 22694, 1155, 630, 27751, 1040, 5842, 8277, 269, 476, 6977, 271, 563, 268, 5682, 267, 1234, 343, 667, 1421, 834, 24465, 6816, 7136, 21492, 281, 589, 5463, 1228, 540, 15638, 31327, 547, 2637, 17462, 543, 31203, 540, 519, 654, 12011, 1824, 267, 476, 6977, 271, 268, 5908, 271, 1701, 18947, 29519, 1957, 269, 670, 3518, 1245, 339, 3557, 2160, 267, 476, 1220, 273, 563, 268, 8496, 2917, 267, 18148, 269, 1323, 1977, 2637, 17462, 269, 23171, 2160, 4964, 267, 476, 1001, 277, 563, 268, 30323, 1372, 267, 32515, 269, 834, 7049, 17462, 543, 6987, 10407, 1701, 3345, 11076, 4750, 267, 5988, 476, 1839, 267, 476, 1001, 271, 281, 1015, 268, 1704, 269, 18329, 4528, 281, 2637, 17462, 543, 6987, 10407, 454, 268, 1530, 920, 560, 267, 5261, 645, 269, 630, 2735, 279, 1040, 834, 297, 541, 2692, 324, 781, 2782, 2668, 2836, 4613, 2103, 269, 476, 277, 630, 277, 2567, 476, 1626, 1700, 2420, 269, 0, 10454, 15678, 568 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 4213, 610, 1379, 532, 8484, 267, 3154, 18434, 3136, 547, 5397, 6639, 7760, 543, 3565, 547, 513, 4264, 2104, 563, 14532, 540, 13937, 5695, 321, 710, 454, 1103, 3685, 540, 13937, 5695, 321, 710, 454, 763, 3154, 17081, 2599, 814, 513, 4241, 1686, 602, 7389, 1394, 547, 519, 476, 272, 560, 2540, 5084, 950, 15552, 540, 28641, 267, 606, 3504, 5259, 11653, 267, 11827, 519, 513, 324, 30649, 850, 269, 901, 3926, 1031, 9252, 1379, 547, 17967, 513, 12106, 267, 11744, 519, 2596, 3741, 540, 513, 17081, 269, 1717, 267, 621, 7012, 1406, 2394, 519, 476, 736, 628, 2540, 602, 3154, 17081, 2029, 5963, 3576, 1055, 563, 763, 8798, 540, 519, 3154, 17081, 607, 649, 917, 621, 2221, 568, 20295, 547, 11184, 7671, 1733, 8077, 267, 513, 3703, 11653, 269, 769, 519, 476, 4350, 271, 338, 267, 1733, 8077, 2919, 519, 1101, 4052, 15191, 2599, 267, 799, 8246, 513, 3154, 17081, 547, 5352, 1379, 269, 3571, 14262, 960, 9788, 519, 5748, 585, 519, 1646, 540, 3154, 18434, 585, 1585, 3156, 267, 1519, 1379, 5108, 543, 18229, 563, 294, 553, 18434, 7500, 593, 519, 6240, 540, 14291, 519, 1648, 540, 513, 13576, 3154, 883, 7344, 1648, 269, 1358, 2874, 540, 1896, 1883, 3334, 267, 1519, 513, 13674, 12068, 267, 513, 3154, 26468, 267, 543, 513, 17081, 269, 634, 13674, 12068, 568, 1141, 4492, 568, 14616, 267, 2870, 1164, 25774, 543, 1164, 27529, 9362, 269, 1452, 9362, 1287, 1780, 998, 519, 17081, 267, 4929, 621, 547, 17967, 543, 5352, 1379, 563, 3080, 540, 519, 1713, 5383, 540, 3154, 17081, 2029, 568, 922, 1164, 4398, 269, 13937, 18434, 666, 3035, 31931, 540, 909, 547, 476, 2568, 9077, 1818, 873, 606, 10694, 4781, 585, 1379, 5108, 269, 3958, 267, 789, 666, 2196, 593, 513, 3099, 540, 10173, 267, 1519, 2067, 3154, 267, 1818, 873, 11684, 543, 22537, 547, 1114, 1648, 2959, 563, 294, 553, 18434, 1265, 3156, 538, 1585, 6080, 267, 1519, 1379, 2371, 267, 18229, 267, 543, 4853, 3157, 269, 769, 1379, 5108, 267, 3154, 17081, 1379, 2371, 616, 1031, 547, 3132, 5201, 7561, 543, 28761, 269, 1452, 2371, 1419, 6451, 3002, 6051, 9252, 18402, 547, 11694, 519, 13345, 540, 1648, 543, 2333, 2949, 4398, 563, 1103, 519, 18229, 2872, 267, 3154, 18434, 616, 4122, 1031, 538, 15191, 9817, 547, 4412, 601, 8484, 269, 634, 1164, 1379, 3562, 27954, 5223, 540, 3154, 18434, 2306, 873, 4998, 585, 18229, 267, 7175, 8484, 547, 3035, 1164, 11250, 543, 15820, 269, 589, 3266, 268, 1457, 29719, 18434, 267, 6508, 689, 15191, 2599, 2029, 267, 616, 849, 1031, 538, 4853, 3156, 1141, 11741, 543, 3608, 1379, 5108, 568, 2838, 563, 31010, 543, 5665, 3154, 18434, 2154, 2834, 5826, 543, 5464, 269, 5695, 321, 710, 9023, 1949, 616, 2629, 547, 2061, 23986, 908, 543, 2327, 6099, 2773, 269, 3958, 267, 4492, 4616, 543, 9688, 5434, 616, 1271, 9270, 538, 17081, 5106, 267, 607, 4398, 543, 2825, 1764, 616, 1883, 4145, 563, 1103, 3932, 267, 519, 8798, 540, 519, 3154, 17081, 19117, 1379, 5108, 543, 18229, 269, 13937, 17081, 2029, 814, 2097, 513, 1279, 1259, 2094, 922, 27299, 267, 543, 621, 5170, 547, 11457, 267, 5356, 3608, 543, 6325, 3435, 585, 1585, 3156, 269, 6787, 621, 779, 1379, 532, 513, 15191, 2599, 610, 10451, 5201, 267, 3154, 18434, 1404, 513, 4105, 1909, 538, 938, 2413, 1158, 563, 15253, 7859, 540, 13937, 5695, 321, 710, 454, 294, 553, 18434, 616, 513, 4105, 851, 540, 1585, 6080, 267, 1519, 18229, 543, 1379, 5108, 269, 1358, 616, 1634, 585, 741, 4398, 543, 10727, 538, 14291, 4492, 883, 7344, 1648, 269, 2913, 779, 2263, 519, 1883, 3334, 602, 1118, 909, 513, 3154, 17081, 2599, 563, 294, 553, 5695, 321, 710, 5422, 538, 589, 7878, 454, 1103, 519, 7706, 540, 18229, 267, 3154, 17081, 9817, 1404, 513, 2629, 1909, 538, 1379, 532, 8484, 269, 1452, 9817, 616, 849, 4122, 5219, 547, 607, 15191, 9817, 269, 1358, 960, 676, 5373, 538, 2011, 267, 735, 7675, 621, 267, 543, 1287, 12318, 532, 4492, 547, 5352, 1164, 25774, 543, 1164, 268, 767, 6290, 9362, 269, 634, 3196, 3812, 676, 519, 9362, 4412, 1564, 519, 8484, 4464, 267, 3246, 519, 2556, 19876, 585, 8184, 563, 294, 553, 5695, 321, 710, 3281, 31395, 454, 763, 3154, 17081, 26468, 568, 3743, 585, 5373, 538, 543, 735, 7675, 19355, 2011, 269, 898, 4249, 513, 4105, 1909, 538, 519, 2949, 4398, 540, 519, 17081, 269, 634, 26468, 5161, 540, 2789, 5933, 267, 1142, 16030, 513, 1305, 540, 15914, 19059, 543, 19335, 642, 6951, 269, 1306, 519, 19059, 17967, 267, 789, 14771, 519, 2011, 267, 2810, 922, 2604, 543, 2837, 1354, 621, 13788, 519, 13674, 12068, 563, 294, 553, 5695, 321, 710, 15585, 528, 454, 763, 3154, 17081, 23301, 267, 849, 1634, 607, 519, 17081, 8868, 267, 568, 513, 2565, 5057, 602, 21555, 1648, 689, 519, 1164, 25774, 543, 1164, 27529, 9362, 3812, 1282, 13674, 269, 634, 23301, 568, 4448, 547, 519, 26468, 543, 568, 9141, 676, 519, 9750, 9362, 269, 1306, 519, 9362, 1780, 936, 519, 23301, 19059, 267, 789, 4483, 741, 1648, 267, 4929, 519, 23301, 547, 17967, 269, 901, 24364, 5163, 568, 1287, 1031, 547, 5397, 1585, 5007, 3457, 267, 971, 607, 18402, 610, 4412, 25527, 563, 294, 553, 5695, 321, 710, 6513, 3590, 454, 2414, 2327, 6099, 2773, 543, 2922, 5106, 267, 3154, 18434, 7048, 593, 10427, 1852, 1949, 269, 1452, 1949, 6895, 543, 10038, 1585, 6724, 267, 971, 607, 4492, 2095, 267, 2011, 6981, 267, 543, 9688, 2837, 269, 1635, 11179, 14577, 891, 6724, 267, 519, 1852, 1062, 15387, 519, 17081, 779, 4398, 543, 11151, 1022, 1761, 3441, 610, 16132, 563, 294, 553, 5695, 321, 710, 1401, 9151, 454, 763, 3154, 17081, 9688, 568, 519, 3803, 3942, 540, 519, 17081, 779, 5106, 269, 2991, 519, 9362, 723, 5293, 998, 519, 23301, 267, 789, 14827, 519, 17081, 998, 519, 9688, 3296, 269, 634, 9688, 9362, 616, 3335, 5393, 3905, 543, 2270, 513, 1713, 2179, 540, 1648, 269, 769, 930, 3156, 267, 971, 607, 5916, 4783, 1379, 2371, 267, 519, 9688, 9362, 616, 2417, 8246, 547, 5352, 3606, 1379, 998, 513, 3002, 6051, 9252, 11718, 563, 294, 553, 18434, 616, 11684, 6191, 609, 513, 2647, 2039, 540, 3156, 269, 1358, 616, 1031, 711, 1152, 538, 8484, 855, 849, 538, 1379, 2371, 267, 1141, 789, 1683, 5201, 547, 2950, 269, 11633, 3154, 18434, 267, 513, 3266, 268, 1457, 29719, 18434, 267, 543, 2067, 3154, 18434, 616, 1175, 513, 1906, 1806, 540, 519, 1114, 2010, 2139, 269, 1452, 18434, 2709, 1164, 4398, 267, 6325, 2773, 267, 543, 666, 581, 3358, 547, 1808, 2115, 563, 5804, 519, 3154, 17081, 2599, 538, 8484, 547, 519, 1852, 1949, 543, 9688, 267, 1142, 5057, 4249, 513, 2629, 1909, 538, 519, 2949, 5106, 543, 4398, 540, 519, 17081, 269, 8617, 5826, 543, 5464, 540, 891, 3334, 616, 1898, 547, 2327, 6099, 2773, 543, 7413, 4492, 4616, 269, 3958, 267, 7760, 538, 17081, 2029, 3136, 547, 2087, 4398, 267, 2569, 5434, 267, 543, 3986, 2949, 17081, 1648, 3977, 563, 1103, 3932, 267, 3154, 18434, 616, 1950, 6191, 609, 1585, 3334, 2324, 1927, 547, 6460, 4492, 883, 7344, 1648, 269, 4256, 3156, 616, 3309, 267, 8151, 689, 1379, 532, 8484, 547, 10451, 5201, 269, 1635, 1620, 519, 1114, 3334, 543, 741, 3252, 267, 649, 666, 5660, 519, 7415, 4702, 3297, 3154, 17081, 2029, 563, 22998, 540, 13937, 5695, 321, 710, 454, 294, 553, 18434, 616, 513, 4105, 5057, 540, 1585, 6080, 267, 1519, 1379, 5108, 543, 18229, 269, 1358, 616, 1634, 585, 741, 4398, 543, 10727, 538, 14291, 4492, 883, 7344, 1648, 269, 2913, 779, 5490, 883, 519, 4241, 1158, 540, 3154, 17081, 9817, 543, 2263, 875, 789, 960, 267, 519, 3154, 17081, 4783, 267, 543, 519, 1184, 540, 4358, 513, 3154, 17081, 563, 1692, 13937, 5695, 321, 710, 5422, 3718, 454, 294, 553, 17081, 9817, 267, 849, 1634, 607, 13674, 18434, 267, 7500, 593, 519, 6240, 540, 519, 645, 2001, 2023, 4783, 269, 901, 4783, 3322, 2185, 1292, 3157, 281, 13496, 267, 13674, 267, 7269, 267, 543, 9688, 269, 634, 2599, 5161, 540, 1896, 1883, 3334, 267, 1142, 4730, 513, 2629, 1909, 538, 519, 2949, 5106, 563, 3080, 540, 519, 3119, 3334, 568, 519, 3154, 26468, 267, 799, 703, 1389, 19355, 2011, 543, 14771, 525, 621, 1354, 10024, 519, 13674, 12068, 269, 634, 19316, 2011, 568, 1287, 6404, 609, 4492, 543, 5337, 1243, 538, 519, 13674, 12068, 267, 2870, 513, 1164, 27529, 543, 1164, 25774, 3154, 7848, 269, 901, 13674, 1184, 13847, 513, 16854, 2179, 540, 1648, 563, 763, 9750, 9362, 689, 519, 13674, 12068, 2095, 998, 519, 17081, 267, 4929, 519, 17081, 19059, 547, 17967, 269, 901, 10047, 11479, 519, 26468, 543, 824, 17960, 267, 971, 607, 18402, 610, 4412, 25527, 267, 4470, 593, 519, 3498, 269, 634, 9688, 9362, 616, 1287, 30461, 689, 519, 2599, 267, 6721, 19876, 610, 10451, 1379, 563, 294, 553, 17081, 9817, 616, 1419, 3379, 547, 15191, 9817, 1813, 547, 741, 2147, 2324, 3741, 269, 1717, 267, 3154, 18434, 616, 5097, 1031, 585, 1379, 5108, 267, 1247, 15191, 9817, 616, 2966, 585, 8484, 27668, 563, 294, 553, 5695, 321, 710, 18888, 454, 763, 3154, 17081, 4783, 5161, 540, 2185, 1292, 5933, 281, 6981, 267, 13496, 267, 13674, 267, 543, 9688, 269, 2913, 779, 1491, 513, 6251, 1413, 693, 1142, 3942, 912, 4504, 820, 281, 634, 3154, 17081, 2599, 703, 1389, 19355, 2011, 998, 519, 26468, 267, 799, 4679, 519, 2011, 2604, 543, 2837, 563, 15253, 1833, 281, 634, 19316, 2011, 568, 1287, 9859, 883, 519, 13674, 12068, 267, 1141, 621, 30012, 609, 4492, 543, 25457, 13674, 269, 901, 1184, 3648, 4679, 519, 2837, 543, 2604, 540, 519, 9362, 563, 23382, 755, 542, 281, 634, 4492, 25101, 7848, 568, 5337, 1243, 267, 2870, 513, 6024, 13674, 1184, 269, 634, 1164, 27529, 9362, 3812, 1282, 13674, 5397, 519, 17081, 19059, 563, 2750, 9151, 281, 634, 9688, 9362, 14827, 519, 17081, 267, 16089, 1648, 543, 10451, 1379, 269, 769, 930, 3156, 267, 519, 9688, 9362, 666, 581, 8246, 2417, 538, 513, 3002, 6051, 9252, 11718, 547, 3132, 3606, 1648, 563, 28275, 513, 13937, 5695, 321, 710, 454, 28275, 513, 3154, 17081, 3322, 513, 5402, 32427, 730, 5311, 540, 2621, 547, 2327, 513, 5347, 543, 2922, 5106, 269, 3371, 616, 519, 2489, 3268, 3238, 538, 4358, 513, 3154, 17081, 912, 27609, 566, 281, 6969, 4358, 519, 17081, 267, 519, 2556, 3106, 11974, 543, 24422, 616, 5342, 269, 901, 2882, 2357, 4328, 4492, 3761, 267, 10992, 19149, 566, 1949, 267, 543, 4180, 782, 3334, 616, 538, 1697, 2324, 2783, 563, 296, 3913, 819, 281, 634, 27307, 1062, 568, 15181, 267, 27510, 519, 13674, 1184, 269, 23556, 568, 22280, 883, 519, 13674, 12068, 267, 543, 519, 8141, 5337, 2572, 519, 7848, 267, 2870, 513, 6417, 18723, 563, 10907, 5120, 566, 281, 634, 17081, 568, 7930, 18965, 547, 519, 5551, 3432, 1210, 519, 25690, 5179, 610, 606, 25581, 1379, 2707, 269, 901, 2636, 519, 26468, 547, 1628, 909, 6190, 2604, 543, 25312, 563, 1805, 8494, 1436, 281, 4495, 519, 17081, 10301, 922, 5665, 3432, 267, 519, 1852, 1949, 24644, 519, 2599, 6724, 267, 4180, 6099, 2773, 543, 4398, 563, 299, 1933, 13335, 281, 2991, 32278, 267, 519, 17081, 568, 4712, 547, 3398, 519, 4452, 269, 901, 666, 581, 2944, 7930, 610, 538, 513, 1900, 3772, 6073, 267, 4470, 593, 519, 1379, 4170, 563, 294, 553, 18434, 616, 11684, 6191, 609, 1585, 3156, 267, 8151, 689, 1379, 2371, 547, 7286, 27668, 1949, 269, 4256, 4398, 267, 10727, 267, 543, 2702, 547, 2196, 593, 1114, 10173, 267, 971, 607, 2067, 3154, 267, 1118, 873, 513, 2442, 3903, 538, 519, 2872, 563, 1103, 3932, 267, 3154, 17081, 9817, 1404, 513, 2629, 1909, 538, 1379, 5108, 543, 824, 6080, 269, 4197, 741, 2324, 3741, 267, 519, 3154, 17081, 4783, 267, 543, 519, 1184, 540, 4358, 513, 3154, 17081, 2488, 3407, 4030, 883, 713, 7415, 2029, 563, 15650, 540, 13937, 5695, 321, 710, 454, 294, 553, 18434, 616, 513, 1826, 540, 4835, 13674, 2599, 602, 6460, 519, 1648, 689, 4492, 883, 7344, 1648, 269, 1358, 616, 4922, 1031, 538, 1585, 3156, 267, 1519, 1379, 5108, 267, 27668, 1949, 267, 543, 4853, 3157, 269, 2913, 779, 2263, 930, 540, 519, 1114, 2010, 540, 3154, 18434, 543, 741, 1808, 3096, 563, 19859, 13937, 5695, 321, 710, 454, 19859, 3154, 18434, 616, 1507, 8397, 1379, 18402, 602, 616, 3335, 1031, 538, 18228, 1379, 1949, 269, 1452, 11741, 18434, 616, 1634, 585, 741, 1164, 4398 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 513, 3099, 540, 7306, 540, 23287, 6512, 1137, 267, 3750, 11547, 3070, 267, 13811, 11746, 267, 17408, 14162, 619, 267, 513, 26282, 267, 29198, 267, 23805, 267, 8755, 7547, 267, 513, 10943, 842, 267, 543, 1608, 8533, 2603, 542, 563, 5591, 6539, 568, 2347, 1510, 930, 1106, 540, 1928, 8323, 543, 8611, 1487, 1356, 971, 607, 29469, 543, 21449, 3133, 641, 1156, 267, 606, 4550, 13611, 585, 1928, 543, 11926, 971, 607, 16481, 1575, 19745, 523, 267, 606, 4550, 7290, 8533, 585, 14711, 543, 21422, 267, 561, 1314, 2510, 543, 4550, 26817, 1551, 9996, 6646, 563, 2252, 2009, 596, 949, 849, 6999, 547, 1331, 6595, 7727, 971, 607, 1216, 1625, 4328, 7515, 267, 8755, 7547, 609, 3063, 9075, 267, 543, 513, 1591, 6049, 543, 29789, 269, 674, 4932, 288, 543, 519, 1977, 4414, 9061, 2709, 2347, 8638, 540, 3688, 596, 1058, 2015, 1519, 563, 2791, 786, 849, 991, 547, 2638, 707, 20164, 21237, 547, 5372, 1022, 3688, 16042, 741, 1163, 19418, 7389, 269, 2311, 602, 942, 267, 596, 666, 1039, 1022, 3688, 2838, 1813, 547, 1022, 2242, 538, 519, 1072, 2175, 540, 1920, 2818, 563, 15371, 596, 2322, 1927, 707, 1378, 1101, 5351, 6539, 689, 15072, 610, 7110, 835, 596, 723, 12349, 267, 596, 786, 581, 2921, 606, 1271, 1900, 547, 5965, 707, 1920, 585, 18002, 543, 2057, 3968, 563, 1607, 4199, 568, 1152, 513, 3391, 543, 1281, 711, 1683, 2564, 5796, 267, 5868, 267, 610, 2126, 269, 8550, 8488, 610, 11716, 3318, 2564, 5796, 1317, 540, 1945, 596, 723, 1224, 593, 513, 3896, 269, 1403, 596, 1589, 596, 949, 723, 513, 2564, 6595, 267, 1289, 513, 4387, 267, 3866, 476, 26605, 610, 979, 2047, 547, 513, 6413, 17073, 18740, 630, 2207, 1040, 0, 1839, 321, 269, 26652, 24439, 15917, 267, 476, 4489, 271, 454, 6524, 13629, 713, 1957, 267, 26652, 4843, 621, 547, 519, 16316, 20051, 540, 519, 24959, 5980, 540, 3013, 267, 543, 646, 11609, 1010, 2911, 609, 15810, 2592, 689, 513, 8305, 9953, 6625, 269, 2290, 540, 519, 2592, 729, 1018, 26652, 1572, 519, 968, 338, 651, 13762, 1395, 560, 4592, 640, 829, 335, 2678, 730, 676, 570, 1941, 1512, 269, 1306, 513, 9295, 547, 519, 3332, 540, 1286, 545, 1155, 519, 1967, 6913, 568, 7415, 1848, 1261, 1590, 723, 4547, 519, 2777, 1524, 950, 646, 3893, 547, 4137, 476, 280, 267, 799, 2982, 875, 519, 570, 1941, 1512, 4528, 540, 24547, 617, 1371, 1590, 723, 6410, 269, 968, 2005, 814, 1044, 6700, 602, 24963, 7186, 267, 547, 2743, 519, 4170, 540, 519, 2013, 267, 1590, 723, 8756, 539, 519, 2627, 540, 519, 3618, 543, 3177, 519, 24547, 617, 1371, 543, 922, 16167, 609, 512, 893, 338, 2507, 634, 24547, 617, 1371, 1590, 723, 6410, 538, 513, 9240, 913, 610, 513, 678, 583, 269, 901, 1522, 5310, 2272, 585, 1010, 2038, 14486, 3034, 29804, 1633, 267, 5261, 808, 269, 834, 288, 2689, 540, 930, 2487, 30852, 540, 519, 1964, 32590, 540, 10487, 1886, 617, 17878, 4540, 538, 519, 15882, 540, 519, 2136, 2276, 267, 609, 2027, 4704, 547, 602, 540, 24547, 617, 1371, 1286, 28616, 328, 538, 519, 31257, 7467, 2437, 538, 281, 1977, 7849, 626, 267, 2019, 476, 4510, 630, 4489, 271, 1070, 6032, 269, 476, 28796, 268, 27543, 269, 901, 960, 568, 851, 540, 938, 3778, 540, 3163, 14635, 267, 855, 621, 729, 10691, 3769, 538, 519, 3312, 14266, 269, 0, 18550, 476, 3066, 267, 476, 1001, 278, 910, 4728, 476, 1789, 267, 476, 1001, 278, 454, 18550, 476, 1789, 267, 476, 1001, 278, 910, 4728, 476, 4029, 267, 476, 1001, 278, 454, 19688, 476, 1839, 267, 476, 1001, 278, 910, 4989, 476, 2764, 267, 476, 1001, 278, 454, 4467, 19397, 25334, 4850, 281, 7046, 12409, 8249, 543, 918, 268, 1321, 8535, 4065, 454, 24523, 1930, 3872, 2200, 630, 302, 2207, 264, 723, 519, 1761, 547, 6445, 10616, 538, 1569, 547, 14292, 2326, 585, 918, 268, 1321, 2575, 3610, 543, 6267, 267, 543, 547, 1489, 3610, 543, 6267, 607, 1543, 15888, 543, 3523, 2209, 538, 5870, 3872, 3853, 269, 901, 1353, 7710, 519, 1699, 1533, 540, 2575, 744, 2207, 267, 519, 9458, 602, 891, 2200, 4196, 547, 4324, 267, 543, 519, 3255, 543, 2591, 3238, 538, 12561, 606, 1930, 1935, 547, 519, 1646, 540, 2575, 2069, 2200, 563, 1103, 11450, 609, 31257, 8065, 779, 1284, 650, 8535, 4659, 267, 4959, 298, 10933, 5342, 513, 1353, 547, 2708, 519, 5251, 540, 4540, 918, 268, 1321, 1930, 2575, 10070, 267, 547, 2697, 1761, 9458, 267, 543, 547, 2708, 519, 6286, 540, 2575, 744, 2207, 585, 3450, 267, 1565, 267, 543, 519, 2361, 607, 513, 2898, 269, 634, 1353, 2417, 8179, 547, 2263, 519, 2640, 543, 7496, 547, 5356, 2575, 744, 2207, 563, 763, 1353, 3238, 513, 2689, 540, 2575, 2069, 3332, 267, 2029, 267, 543, 2228, 10070, 267, 607, 1134, 607, 11042, 609, 2575, 7855, 267, 2575, 1543, 7426, 267, 543, 2575, 2069, 4966, 563, 268, 1548, 616, 519, 3056, 744, 2207, 1543, 10070, 543, 5867, 7674, 918, 268, 1321, 7855, 888, 268, 1548, 10832, 1448, 547, 513, 3747, 585, 2575, 744, 2207, 888, 268, 1215, 543, 547, 1018, 6708, 616, 3610, 4867, 1210, 2575, 744, 2207, 286, 1215, 568, 621, 1373, 1031, 7258, 4540, 3450, 2645, 543, 2200, 888, 268, 1548, 616, 2009, 3606, 946, 7653, 585, 2575, 744, 2207, 286, 1548, 616, 519, 2640, 543, 2591, 540, 946, 585, 713, 1543, 267, 543, 1018, 2010, 540, 1489, 1655, 7520, 922, 946, 888, 268, 1548, 2152, 1107, 1312, 3255, 543, 2591, 1107, 616, 6659, 676, 12561, 606, 1930, 1935, 547, 2575, 2069, 888, 268, 1548, 616, 519, 6626, 6286, 540, 2575, 744, 2207, 585, 3450, 267, 1565, 267, 543, 519, 2575, 2069, 2361, 607, 513, 2898, 286, 0, 763, 5683, 1062, 3568, 454, 268, 27801, 338, 827, 519, 2470, 540, 812, 2676, 268, 27801, 338, 827, 16431, 267, 827, 1018, 568, 1434, 610, 14909, 610, 17709, 540, 13287, 585, 922, 1378, 19160, 2676, 268, 16390, 18413, 1524, 1018, 11129, 547, 581, 2944, 543, 1018, 11129, 711, 547, 581, 2944, 267, 543, 454, 268, 7763, 1161, 602, 13141, 710, 721, 547, 3442, 519, 1318, 610, 4636, 1576, 563, 763, 2152, 16109, 827, 1018, 568, 1434, 267, 14909, 610, 17709, 540, 13287, 267, 519, 3044, 540, 22556, 543, 865, 267, 16109, 856, 540, 519, 1646, 540, 24118, 9443, 616, 519, 1292, 1641, 540, 6915, 268, 996, 923, 269, 1656, 1360, 4481, 267, 519, 3210, 540, 27454, 1143, 547, 891, 6915, 268, 25677, 2152, 568, 519, 1641, 2339, 540, 1459, 11000, 563, 2005, 568, 513, 2339, 540, 7521, 2436, 7881, 267, 2901, 6986, 610, 4294, 267, 1058, 581, 4984, 6954, 610, 568, 621, 2141, 1759, 593, 3909, 610, 21042, 9713, 29625, 269, 634, 1093, 12661, 923, 538, 713, 2796, 568, 4143, 1256, 2221, 267, 1317, 519, 1459, 2518, 2486, 568, 5258, 538, 693, 2547, 1079, 2516, 267, 642, 714, 269, 3909, 543, 513, 1700, 516, 31437, 269, 1656, 8164, 1022, 5683, 3390, 1644, 547, 1022, 12106, 540, 1272, 14340, 267, 519, 3909, 8128, 610, 15156, 540, 3909, 7881, 3801, 547, 1265, 856, 519, 3435, 593, 519, 4493, 540, 519, 10752, 540, 4984, 269, 1280, 1383, 267, 1813, 547, 519, 7760, 538, 2564, 9443, 267, 2486, 568, 1992, 539, 540, 519, 5574, 1272, 5841, 27042, 267, 1449, 2389, 4209, 1532, 17879, 610, 1256, 5444, 3797, 269, 3143, 8969, 519, 4513, 2152, 2285, 4473, 547, 5683, 2055, 269, 1717, 267, 2436, 519, 3210, 547, 891, 2055, 1058, 581, 689, 513, 3909, 1895, 610, 689, 513, 9243, 1895, 9247, 5673, 593, 519, 2247, 1606, 564, 540, 1004, 2713, 538, 2486, 269, 32279, 621, 568, 1336, 602, 3909, 1895, 20781, 547, 891, 2152, 593, 519, 4493, 540, 1978, 2093, 540, 20519, 543, 5609, 267, 1434, 543, 3983, 607, 5462, 676, 519, 3909, 29625, 269, 1656, 519, 3210, 540, 27454, 1143, 547, 891, 2152, 568, 971, 513, 1826, 540, 3210, 269, 18227, 693, 4282, 519, 27454, 320, 16431, 540, 1875, 8686, 2723, 775, 267, 1875, 12258, 937, 13659, 543, 10841, 2045, 1272, 267, 27454, 1143, 20781, 547, 519, 6915, 268, 25677, 2152, 563, 1103, 713, 11000, 267, 519, 2013, 1353, 540, 1739, 6915, 268, 25677, 2152, 786, 581, 2944, 267, 711, 782, 519, 2152, 786, 581, 5941, 269, 634, 2601, 585, 1373, 16496, 568, 602, 519, 1445, 540, 519, 11000, 568, 593, 27454, 320, 3210, 547, 6915, 268, 25677, 2152, 543, 711, 519, 14969, 6609, 543, 4901, 540, 6915, 268, 25677, 2152, 269, 634, 2152, 585, 1459, 11000, 616, 912, 268, 14464, 27042, 454, 268, 5029, 21856, 454, 763, 4657, 1305, 540, 2418, 267, 9867, 2093, 540, 12257, 543, 18399, 267, 1367, 5191, 267, 1514, 4567, 3092, 269, 723, 2016, 4473, 547, 513, 1114, 17695, 1436, 540, 1480, 1272, 543, 18867, 519, 2152, 1644, 547, 12732, 540, 1480, 1272, 267, 13311, 4332, 610, 6159, 1324, 585, 4816, 3092, 269, 723, 818, 17470, 563, 1103, 519, 1769, 540, 519, 8561, 593, 6207, 1875, 8686, 2723, 775, 267, 27454, 1143, 1065, 644, 28179, 543, 10238, 1080, 16377, 7488, 540, 4128, 269, 634, 27454, 320, 7778, 540, 713, 1935, 540, 1875, 8686, 2723, 775, 1223, 581, 607, 5205, 912, 268, 1306, 519, 7872, 540, 1007, 4332, 6818, 267, 11318, 602, 1272, 568, 1164, 1377, 540, 5208, 543, 3112, 581, 20582, 896, 1022, 2601, 563, 268, 1403, 519, 9837, 540, 16377, 568, 547, 1205, 7759, 540, 519, 4775, 1126, 267, 27454, 1143, 786, 4431, 593, 519, 20457, 540, 7862, 540, 782, 1272, 267, 543, 18149, 333, 519, 11318, 540, 513, 4775, 1126, 563, 268, 1403, 7872, 540, 26843, 6765, 568, 519, 2601, 540, 16377, 267, 27454, 1143, 786, 1491, 883, 2272, 519, 3069, 540, 737, 12609, 543, 786, 8044, 602, 607, 519, 1126, 786, 723, 547, 7985, 1317, 540, 1010, 268, 615, 1378, 2250, 737, 1301, 553, 267, 1126, 786, 2661, 610, 5884, 540, 2067, 3123, 543, 8754, 20982, 11318, 540, 513, 1126, 568, 711, 20582, 563, 268, 27454, 1143, 786, 849, 1489, 9494, 519, 840, 2173, 1155, 569, 9447, 9002, 693, 1022, 1942, 1256, 1498, 972, 568, 1169, 7872, 602, 971, 513, 1126, 1281, 1332, 609, 9124, 689, 3500, 1565, 547, 16765, 2168, 9124, 563, 268, 1403, 519, 2601, 540, 16377, 568, 1514, 267, 552, 3052, 269, 6710, 610, 3478, 7759, 540, 796, 2914, 5896, 610, 10363, 1126, 267, 27454, 1143, 786, 4431, 609, 519, 1489, 540, 1079, 3741, 540, 1875, 8686, 2723, 775, 543, 14985, 540, 737, 12609, 543, 8044, 602, 607, 519, 1126, 814, 547, 7703, 519, 5613, 540, 2250, 737, 1301, 553, 543, 8754, 705, 15659, 519, 1126, 786, 581, 513, 5609, 540, 7679, 1359, 609, 824, 737, 12609, 563, 1607, 3926, 568, 7550, 950, 519, 2067, 6379, 568, 711, 2009, 1813, 547, 519, 5214, 12889, 2901, 538, 5256, 610, 4775, 269, 769, 8686, 527, 549, 22289, 267, 1147, 5766, 622, 3993, 3125, 616, 930, 2081, 602, 666, 581, 7550, 950, 519, 7385, 538, 519, 7008, 3112, 2285, 4332, 547, 513, 1126, 538, 513, 2067, 1259, 269, 1280, 519, 7008, 267, 799, 568, 6159, 1324, 585, 513, 1126, 543, 3112, 1205, 621, 6923, 267, 891, 2564, 18563, 616, 899, 513, 1630, 517, 269, 898, 1131, 581, 4277, 547, 1294, 1018, 27454, 1143, 1131, 1589, 827, 713, 563, 5575, 540, 782, 267, 19163, 593, 519, 4493, 540, 519, 3069, 540, 737, 12609, 267, 27454, 1143, 786, 7357, 1065, 644, 5573, 519, 2856, 540, 5841, 605, 21551, 269, 898, 786, 1448, 856, 602, 1813, 547, 519, 2250, 737, 1301, 553, 540, 2901, 7385, 610, 9393, 610, 1312, 540, 873, 267, 2067, 6379, 568, 711, 2009, 543, 8754, 519, 7008, 1058, 3398, 621, 607, 741, 22038, 563, 30772, 267, 621, 786, 849, 28586, 1210, 2901, 5798, 610, 521, 704, 916, 610, 513, 27042, 540, 1022, 824, 3993, 607, 513, 20161, 585, 4896, 779, 25796, 3483, 563, 763, 2856, 540, 15333, 4003, 267, 4481, 568, 547, 2061, 606, 13311, 6379, 267, 543, 538, 2489, 547, 1852, 519, 2551, 563, 297, 664, 1143, 1522, 1294, 519, 946, 540, 15333, 1061, 1161, 607, 32118, 538, 519, 1769, 540, 519, 12247, 540, 13767, 756, 2329, 269, 4340, 547, 519, 8772, 12247, 267, 3933, 802, 543, 715, 12584, 616, 9277, 547, 1852, 741, 4638, 18653, 4625, 267, 1247, 7622, 518, 9038, 543, 8951, 616, 9277, 547, 1852, 519, 1482, 547, 513, 1978, 6708, 269, 1280, 1383, 267, 4638, 6935, 609, 4896, 824, 982, 23947, 267, 610, 4638, 1894, 950, 972, 568, 1100, 30254, 585, 513, 1126, 3092, 269, 568, 19275 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 534, 3236, 610, 2582, 8317, 585, 930, 2680, 454, 268, 834, 3891, 1572, 2185, 2053, 4840, 268, 834, 1607, 942, 646, 16309, 4840, 2304, 22543, 9548, 1974, 630, 17141, 6825, 676, 1808, 10305, 610, 2238, 994, 268, 834, 3891, 568, 3257, 942, 538, 519, 10315, 21569, 4840, 268, 834, 3891, 729, 513, 1390, 17076, 568, 1010, 942, 4840, 268, 834, 763, 942, 540, 1032, 585, 9544, 4840, 268, 834, 3891, 31372, 513, 1279, 942, 4840, 288, 1974, 540, 942, 2808, 607, 513, 4199, 896, 707, 1852, 543, 6190, 547, 9585, 1945, 454, 268, 834, 527, 3576, 811, 982, 3368, 1250, 942, 4840, 268, 834, 296, 4769, 1405, 723, 942, 547, 9096, 4840, 268, 834, 339, 820, 942, 547, 9329, 519, 24712, 4840, 320, 1268, 781, 1995, 593, 513, 1880, 8317, 454, 268, 834, 3891, 1185, 513, 942, 8066, 1394, 519, 17229, 257, 610, 834, 16269, 1185, 513, 1434, 942, 1927, 3269, 454, 288, 5078, 4090, 454, 268, 834, 527, 568, 942, 547, 979, 4840, 1492, 27795, 540, 1995, 538, 799, 2621, 1780, 689, 519, 2104, 998, 519, 1459, 547, 519, 2250, 0, 4306, 302, 2975, 26980, 6865, 4953, 23802, 476, 279, 289, 12327, 307, 6938, 11553, 3722, 2316, 4753, 11550, 25770, 5960, 4888, 14684, 8991, 454, 295, 517, 832, 11061, 23448, 853, 334, 24734, 5852, 10819, 454, 14457, 3758, 15761, 571, 853, 334, 24734, 5852, 10819, 476, 272, 269, 18234, 24277, 23465, 609, 536, 10740, 17296, 547, 1106, 8988, 17296, 543, 536, 10740, 24277, 269, 513, 269, 3503, 543, 3666, 519, 3114, 3830, 269, 476, 273, 3397, 17472, 476, 274, 1341, 13391, 5141, 476, 273, 256, 476, 273, 3397, 5141, 1341, 13391, 263, 17472, 476, 274, 264, 476, 273, 536, 269, 1403, 476, 4375, 10101, 540, 536, 10740, 17296, 616, 2746, 539, 538, 606, 4430, 540, 8988, 24277, 267, 875, 1082, 454, 306, 1729, 24734, 5852, 6657, 8018, 910, 5851, 910, 4317, 17781, 454, 14457, 3758, 306, 1729, 24734, 5852, 6657, 8018, 16534, 519, 1739, 588, 334, 24734, 5852, 10101, 3766, 2449, 2042, 281, 476, 272, 264, 4635, 519, 1739, 3830, 281, 476, 273, 10878, 15121, 1341, 670, 476, 273, 12569, 476, 275, 476, 273, 670, 476, 273, 302, 1341, 10878, 476, 273, 12569, 476, 275, 1215, 1082, 10101, 540, 9770, 23253, 786, 581, 4646, 952, 596, 1376, 609, 476, 1220, 269, 271, 454, 306, 1729, 24734, 5852, 281, 588, 334, 24734, 6248, 5223, 1806, 630, 14835, 454, 20797, 281, 26758, 588, 334, 24734, 5852, 269, 6657, 281, 20593, 1154, 18253, 543, 2527, 269, 8921, 3992, 269, 7799, 1746, 556, 26047, 588, 334, 24734, 5852, 269, 23037, 676, 281, 5440, 966, 6838, 269, 853, 334, 24734, 5852, 269, 5455, 8921, 269, 853, 334, 24734, 5852, 269, 3776, 5692, 568, 547, 1683, 513, 1863, 267, 1158, 11665, 2069, 547, 4896, 267, 9170, 269, 16679, 9142, 568, 513, 476, 26341, 6262, 7565, 274, 264, 18758, 3919, 269, 5213, 622, 610, 15321, 2221, 256, 13505, 32522, 454, 560, 334, 24734, 5852, 476, 272, 4976, 543, 1883, 454, 14457, 3758, 306, 1729, 24734, 5852, 8018, 543, 6206, 476, 272, 12387, 918, 5141, 302, 476, 274, 12387, 918, 5141, 302, 476, 274, 12387, 744, 476, 273, 815, 12387, 302, 476, 273, 476, 274, 331, 918, 5141, 815, 12387, 918, 5141, 302, 476, 274, 815, 476, 271, 12387, 3171, 815, 12387, 3171, 476, 273, 302, 476, 274, 815, 815, 476, 273, 918, 5141, 302, 476, 274, 3331, 357, 476, 273, 918, 5141, 1341, 476, 274, 744, 476, 273, 476, 1015, 269, 1215, 454, 306, 1729, 24734, 5852, 23448, 6657, 10819, 910, 13244, 3933, 3821, 5441, 454, 306, 1729, 24734, 5852, 23448, 6657, 10819, 1547, 10691, 292, 281, 2353, 3621, 10035, 568, 2854, 538, 519, 1739, 6073, 281, 630, 290, 4141, 2310, 264, 292, 263, 22091, 9426, 1040, 1280, 1383, 267, 476, 277, 1535, 476, 1015, 476, 272, 568, 2854, 607, 476, 277, 267, 543, 476, 273, 1535, 476, 1015, 268, 276, 568, 2854, 607, 476, 273, 268, 276, 269, 3509, 540, 891, 2042, 4125, 4834, 602, 454, 290, 13511, 1315, 12226, 547, 631, 3421, 654, 306, 910, 3063, 2042, 454, 2005, 568, 519, 3609, 540, 519, 3345, 2717, 330, 7991, 3427, 10588, 711, 547, 5806, 3729, 593, 519, 4493, 540, 5198, 267, 2681, 267, 3084, 5169, 267, 3023, 267, 9659, 267, 4984, 267, 1212, 539, 267, 2085, 630, 1721, 7694, 1070, 29281, 4567, 630, 1721, 3292, 1070, 4638, 10066, 267, 4008, 3961, 543, 14227, 4567, 630, 1721, 3292, 264, 538, 922, 3872, 3292, 543, 922, 7694, 2853, 563, 577, 1986, 476, 277, 13326, 588, 334, 747, 4976, 543, 1883, 454, 14457, 3758, 6637, 476, 277, 21344, 543, 853, 334, 24734, 5852, 8018, 543, 6206, 11762, 281, 3040, 21344, 12307, 3040, 5675, 513, 3114, 3830, 3040, 853, 334, 24734, 5852, 6657, 281, 476, 272, 269, 769, 519, 5114, 281, 476, 275, 30537, 630, 338, 264, 1341, 744, 476, 273, 630, 326, 264, 2485, 362, 476, 273, 30537, 476, 273, 302, 630, 338, 264, 513, 269, 1018, 568, 519, 1587, 286, 536, 269, 1018, 616, 519, 2746, 1218, 286, 524, 269, 1018, 1281, 519, 968, 263, 338, 264, 892, 1310, 519, 4542, 540, 16864, 12547, 24901, 888, 11405, 7732, 1923, 5851, 454, 306, 1729, 24734, 5852, 476, 279, 321, 23448, 6657, 10819, 12226, 269, 7348, 9137, 269, 7300, 674, 11223, 269, 476, 1240, 300, 269, 9046, 8827, 3194, 11762, 269, 7348, 9137, 269, 7300, 674, 11223, 269, 476, 1691, 300, 269, 634, 12085, 1358, 2961, 3072, 5999, 1656, 12226, 269, 7348, 9137, 269, 7300, 674, 11223, 269, 476, 279, 300, 269, 4880, 11929, 476, 1001, 278, 7726, 14430, 2060, 12226, 454, 290, 13511, 631, 1961, 6726, 566, 4530, 5999, 454, 763, 3727, 568, 513, 3044, 16038, 1770, 1031, 5097, 538, 7998, 269, 901, 568, 513, 4015, 540, 4557, 7998, 1449, 2055, 7231, 609, 519, 3727, 269, 589, 13350, 3349, 786, 581, 3730, 547, 2347, 891, 2055, 269, 0, 25857, 686, 631, 537, 14653, 8452, 538, 4911, 330, 528, 538, 5130, 476, 5908, 271, 543, 267, 4352, 646, 6170, 1152, 1614, 4374, 593, 519, 3135, 267, 1010, 2951, 1867, 267, 3370, 513, 1906, 1296, 1310, 1010, 2669, 538, 5487, 657, 538, 476, 5908, 272, 267, 8659, 519, 13730, 6609, 540, 4911, 330, 528, 799, 4547, 519, 21219, 547, 519, 3007, 540, 519, 1158, 563, 17951, 330, 528, 568, 519, 5318, 1858, 267, 5087, 540, 519, 29139, 548, 590, 777, 10720, 267, 1141, 519, 10609, 1067, 15438, 12199, 689, 519, 476, 280, 628, 2540, 547, 519, 4098, 540, 519, 476, 1428, 628, 2540, 269, 1358, 2451, 585, 16968, 640, 606, 6909, 9371, 538, 6149, 267, 519, 17633, 3710, 547, 2777, 519, 9699, 543, 14418, 2820, 514, 885, 26902, 5792, 538, 3504, 3162, 7232, 770, 5607, 563, 763, 1101, 4622, 945, 3964, 1010, 3854, 2282, 1912, 333, 558, 25234, 26907, 693, 519, 1439, 540, 519, 476, 280, 628, 2540, 267, 962, 1662, 990, 1301, 534, 594, 267, 849, 3710, 835, 4627, 11849, 2449, 630, 3000, 2120, 625, 264, 538, 1010, 10806, 267, 799, 5267, 602, 519, 11182, 646, 6417, 4988, 513, 1804, 1858, 269, 28210, 29691, 513, 14629, 267, 621, 568, 19951, 513, 2442, 15805, 5544, 585, 23863, 5784, 563, 763, 4911, 330, 528, 3135, 568, 4092, 538, 519, 11662, 540, 13961, 655, 1234, 777, 267, 538, 519, 5087, 29891, 540, 25591, 267, 1063, 29139, 548, 590, 777, 8235, 543, 513, 1507, 2039, 540, 15113, 1572, 1912, 333, 558, 918, 592, 523, 729, 849, 4988, 609, 11454, 269, 645, 14397, 599, 590, 516, 328, 729, 7508, 267, 519, 11454, 729, 1152, 4362, 513, 1906, 1296, 2663, 267, 538, 476, 4489, 275, 563, 17951, 330, 528, 20242, 568, 519, 23836, 11454, 799, 2968, 519, 18368, 6444, 3090, 540, 519, 3504, 10609, 1067, 10340, 269, 898, 568, 3564, 1022, 8969, 513, 4898, 540, 519, 3909, 11265, 1158, 563, 289, 1263, 2725, 1446, 320, 729, 1152, 556, 19945, 2989, 547, 8436, 538, 519, 2038, 476, 1220, 271, 338, 1310, 519, 1928, 560, 1136, 4305, 540, 21757, 621, 689, 2244, 15183, 267, 799, 3576, 1296, 267, 729, 6192, 269, 898, 779, 1419, 4330, 607, 513, 2048, 29788, 685, 4528, 540, 4911, 330, 528, 20242, 543, 729, 1034, 2693, 3710, 1472, 519, 1482, 942, 269, 1411, 786, 1451, 547, 5431, 519, 521, 1537, 7776, 3529, 4171, 3043, 17657, 5654, 899, 513, 4999, 540, 7299, 5072, 267, 855, 849, 519, 1193, 836, 2401, 4453, 3529, 267, 513, 535, 16307, 799, 6238, 922, 3134, 760, 1506, 6776, 1272, 950, 5017, 4163, 922, 5452, 1164, 909, 1776, 3529, 610, 593, 1283, 540, 519, 25113, 563, 5415, 12517, 267, 7836, 1079, 610, 1614, 2395, 538, 4911, 330, 528, 568, 519, 5934, 942, 835, 2115, 547, 3643, 519, 1034, 1271, 17633, 269, 9050, 547, 2947, 2395, 786, 1450, 596, 547, 3643, 811, 540, 519, 4911, 330, 528, 3135, 17633, 855, 849, 547, 1331, 513, 835, 1554, 2389, 8692, 547, 513, 2484, 2476, 3135, 281, 2776, 1695, 22870, 515, 541, 267, 918, 2129, 23715, 267, 2776, 1695, 16679, 540, 918, 2086, 784, 590, 341, 599, 267, 590, 3711, 528, 2776, 328, 918, 4157, 610, 645, 14397, 599, 932, 327, 3405, 269, 1403, 596, 616, 16994, 593, 9683, 811, 982, 835, 540, 891, 2484, 2476, 4609, 267, 610, 593, 9683, 513, 1390, 1297, 540, 519, 4911, 330, 528, 17633, 267, 513, 3018, 786, 581, 3501, 563, 290, 3711, 17377, 2968, 513, 3943, 5019, 10725, 622, 538, 476, 5908, 274, 267, 769, 476, 5908, 277, 513, 3621, 5692, 6494, 547, 2708, 2436, 519, 631, 2131, 784, 729, 4044, 762, 630, 527, 729, 711, 264, 3323, 609, 513, 1614, 22173, 1033, 712, 998, 4911, 330, 528, 267, 1287, 896, 519, 1852, 540, 590, 3554, 269, 7201, 519, 5718, 540, 2155, 6387, 667, 3716, 691, 632, 20698, 337, 19902, 267, 14731, 717, 7568, 1512, 267, 8402, 5548, 777, 677, 324, 543, 8402, 2961, 333, 2946, 5342, 519, 1101, 12220, 540, 519, 17633, 269, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 7688, 5161, 540, 476, 276, 2789, 3903, 543, 476, 276, 2110, 2626, 2055, 998, 3487, 476, 273, 3848, 476, 736, 1299, 476, 2641, 563, 21296, 14893, 5999, 454, 272, 269, 1548, 568, 519, 2165, 646, 3096, 585, 7744, 609, 1776, 1268, 888, 273, 269, 4208, 798, 1004, 1616, 547, 1118, 513, 26315, 543, 2824, 19988, 338, 888, 5416, 264, 547, 1450, 585, 1931, 569, 24895, 454, 6357, 264, 547, 581, 899, 519, 824, 1455, 933, 23411, 1472, 873, 454, 6262, 264, 547, 7759, 2933, 540, 2797, 11552, 553, 1465, 454, 5560, 264, 547, 2061, 2348, 547, 882, 22055, 880, 22624, 454, 274, 269, 1548, 568, 20122, 15816, 262, 2990, 593, 11299, 543, 741, 1453, 888, 5416, 264, 12624, 338, 723, 1100, 2924, 547, 1453, 563, 6357, 264, 634, 1533, 22595, 782, 1453, 563, 6262, 264, 12624, 338, 786, 10205, 741, 1453, 563, 5560, 264, 634, 3993, 568, 519, 2067, 8227, 540, 519, 1453, 563, 275, 269, 1879, 513, 21318, 3587, 835, 1895, 267, 1018, 1590, 789, 2824, 888, 5416, 264, 519, 11647, 602, 568, 3617, 585, 513, 1895, 454, 6357, 264, 606, 3617, 5870, 1747, 1804, 2614, 547, 4127, 617, 622, 782, 454, 6262, 264, 513, 11347, 945, 568, 11967, 676, 782, 519, 1895, 2818, 454, 5560, 264, 513, 1305, 540, 3652, 267, 6042, 267, 543, 676, 2000, 9155, 454, 276, 269, 1548, 1281, 20122, 15816, 3398, 950, 4708, 568, 7543, 888, 14112, 8382, 5999, 454, 272, 269, 1215, 1281, 20122, 15816, 4766, 1010, 7623, 9345, 888, 273, 269, 1548, 1281, 20122, 15816, 2161, 568, 2877, 547, 2149, 1004, 689, 8594, 888, 274, 269, 1548, 1281, 20122, 15816, 2161, 513, 1268, 568, 3257, 950, 646, 13515, 21108, 5128, 888, 275, 269, 1548, 1079, 2188, 1281, 20122, 15816, 3494, 1852, 2790, 11407, 888, 276, 269, 1548, 1826, 540, 1433, 568, 19845, 9654, 26059, 3198, 888, 1607, 3296, 3568, 476, 29720, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264, 0, 289, 3008, 3041, 5508, 2910, 11586, 4785, 3582, 589, 2793, 14877, 306, 3041, 454, 1103, 513, 2347, 13674, 5114, 267, 513, 7623, 23465, 609, 606, 12444, 1944, 3693, 267, 543, 519, 2472, 616, 7135, 540, 1142, 3693, 538, 519, 4492, 609, 519, 12444, 1944, 3693, 563, 268, 6789, 23414, 292, 4353, 3633, 454, 19575, 1493, 595, 670, 744, 715, 590, 589, 631, 815, 1911, 454, 3682, 343, 1493, 966, 300, 674, 290, 631, 589, 815, 476, 1911, 454, 268, 3642, 305, 19010, 312, 1496, 1911, 290, 14370, 1911 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 543, 13535, 1794, 327, 784, 16581, 29550, 269, 769, 1880, 267, 513, 1007, 631, 8538, 1815, 21552, 2673, 547, 670, 298, 308, 276, 729, 1336, 538, 513, 10412, 10471, 3524, 10642, 676, 13535, 1794, 327, 784, 16581, 2160, 538, 476, 1001, 278, 269, 634, 3173, 849, 1336, 513, 3209, 670, 298, 308, 275, 5829, 631, 8538, 1815, 21552, 513, 2673, 3448, 547, 631, 8991, 11452, 538, 513, 7573, 10471, 602, 729, 3524, 10642, 538, 476, 1708, 271, 676, 519, 13535, 1794, 327, 784, 16581, 2160, 269, 16952, 9696, 540, 11763, 804, 2158, 5532, 547, 670, 298, 308, 276, 543, 513, 5545, 29363, 4345, 3644, 941, 849, 4857, 538, 513, 10412, 10471, 3524, 10642, 676, 519, 13535, 1794, 327, 784, 16581, 2160, 538, 476, 1001, 279, 563, 10214, 811, 7282, 267, 513, 1007, 914, 659, 528, 517, 822, 597, 2224, 2147, 547, 16568, 8862, 4353, 272, 729, 4362, 538, 513, 7573, 10471, 602, 729, 3524, 10642, 538, 476, 1001, 278, 676, 519, 17540, 329, 1014, 11982, 543, 32645, 2160, 269, 968, 8794, 519, 4362, 4719, 9696, 267, 649, 941, 2111, 547, 27043, 2347, 25450, 540, 1079, 1007, 8318, 822, 21905, 2223, 835, 540, 799, 568, 968, 854, 2147, 892, 547, 519, 715, 760, 1695, 3644, 267, 519, 3173, 24633, 538, 513, 1353, 840, 1790, 21242, 593, 519, 818, 311, 643, 7746, 563, 10527, 6602, 540, 1896, 5906, 1480, 13596, 538, 6694, 15971, 20682, 12651, 4145, 602, 19777, 23245, 10873, 616, 1373, 26991, 2223, 519, 4589, 24633, 267, 1519, 4145, 602, 8060, 538, 6694, 20682, 616, 1447, 22608, 982, 538, 19274, 14347, 20682, 269, 16593, 2685, 267, 4457, 9945, 723, 9395, 2989, 741, 10873, 2094, 519, 11944, 540, 16568, 17336, 268, 273, 1848, 0, 763, 4065, 16735, 268, 10076, 1072, 2200, 585, 1453, 267, 1053, 267, 3237, 267, 1416, 3464, 543, 1153, 270, 3712, 5076, 5234, 454, 26045, 2657, 8249, 910, 589, 4015, 540, 2200, 547, 948, 707, 2790, 1072, 630, 5804, 5101, 540, 4789, 6554, 5948, 267, 5225, 4945, 593, 519, 3095, 2630, 1916, 26045, 2657, 8081, 1282, 519, 5046, 910, 476, 866, 12176, 454, 288, 595, 4456, 9391, 11285, 568, 1631, 2139, 476, 2190, 3108, 513, 1554, 267, 5722, 2395, 513, 3018, 267, 547, 1683, 11285, 5796, 543, 1489, 547, 3885, 543, 4648, 827, 1453, 270, 9767, 978, 1004, 538, 513, 2790, 1072, 6433, 543, 630, 604, 2556, 264, 6582, 585, 513, 3068, 547, 3068, 4879, 563, 1607, 2533, 568, 2139, 998, 938, 17266, 8672, 540, 7457, 1899, 593, 10778, 307, 601, 281, 476, 27157, 271, 476, 6507, 278, 476, 271, 3583, 278, 454, 16942, 281, 4757, 11333, 2593, 630, 1721, 1875, 268, 4026, 550, 679, 24751, 994, 2304, 3534, 22506, 2817, 10418, 585, 5753, 543, 19198, 910, 3730, 1344, 827, 10515, 532, 609, 6397, 30804, 543, 2530, 563, 30144, 8479, 9650, 338, 538, 670, 1068, 338, 454, 2690, 6176, 827, 875, 547, 1413, 1310, 707, 2790, 1072, 543, 3929, 8171, 1282, 519, 13044, 268, 866, 12176, 5225, 4945, 593, 519, 3095, 2630, 563, 22033, 827, 6158, 547, 707, 1453, 827, 4856, 7431, 24295, 454, 21790, 10955, 585, 19198, 454, 6701, 596, 513, 2385, 610, 1416, 337, 945, 568, 7255, 827, 2790, 1072, 540, 707, 1126, 270, 10117, 4526, 610, 606, 4587, 1920, 4759, 267, 2385, 610, 6264, 8001, 286, 9650, 10955, 585, 3885, 814, 5796, 543, 1344, 689, 11967, 4966, 543, 786, 948, 596, 547, 1174, 1018, 2042, 2049, 267, 1018, 596, 666, 798, 547, 1655, 1489, 707, 1920, 267, 543, 875, 547, 1491, 1416, 540, 3054, 563, 28716, 519, 9650, 10955, 19198, 3896, 585, 811, 1344, 563, 8512, 2996, 1222, 585, 1453, 454, 4910, 1545, 547, 1628, 1453, 781, 8171, 454, 21609, 645, 699, 29713, 5177, 723, 1344, 585, 3237, 543, 1416, 3464, 593, 5885, 1453, 998, 2352, 2053, 543, 5883, 16236, 269, 7490, 4945, 593, 519, 3095, 2630, 547, 1569, 891, 2200, 563, 22013, 1853, 532, 7981, 3038, 1707, 16511, 958, 454, 9169, 12195, 568, 513, 670, 1068, 5112, 28790, 17253, 11450, 1935, 1141, 3237, 267, 5234, 538, 2038, 1296, 5468, 543, 3506, 267, 2417, 2069, 12621, 267, 2199, 6392, 10492, 543, 13222, 689, 824, 8041, 267, 960, 1927, 607, 851, 540, 606, 9351, 6828, 267, 17265, 543, 3384, 519, 2039, 540, 11865, 543, 1489, 2533, 2139, 547, 741, 2199, 2146, 563, 19853, 3896, 814, 1044, 8242, 547, 1331, 2200, 547, 1489, 10076, 2657, 267, 5851, 3427, 532, 585, 782, 1883, 5933, 267, 1187, 2238, 543, 1454, 811, 563, 306, 29195, 23089, 9250, 513, 1007, 2661, 10004, 3028, 547, 1489, 1346, 7680, 267, 610, 693, 1981, 540, 6057, 563, 763, 1007, 3028, 6087, 4896, 7680, 6057, 547, 10004, 2047, 609, 513, 4759, 540, 519, 6380, 518, 23089, 2319, 563, 763, 3800, 9307, 547, 10994, 11452, 630, 26542, 476, 866, 264, 723, 2938, 1554, 547, 1554, 1272, 1689, 13497, 543, 17216, 1500, 621, 9875, 585, 1004, 547, 1569, 1489, 2533, 607, 15000, 616, 9678, 609, 705, 22852, 609, 1507, 9486, 540, 4316, 547, 3717, 269, 901, 1007, 3028, 786, 2285, 15000, 519, 4316, 547, 1569, 1489, 15739, 564, 569, 269, 634, 1007, 3028, 786, 7620, 581, 1930, 1063, 476, 279, 281, 1789, 600, 543, 476, 276, 10975, 11728, 547, 11016, 543, 476, 279, 10975, 910, 476, 279, 600, 29443, 910, 6129, 476, 279, 10975, 910, 476, 279, 600, 269, 634, 2661, 10004, 8400, 786, 2408, 952, 596, 979, 593, 547, 519, 6380, 518, 4025, 3896, 269, 1403, 596, 991, 948, 596, 666, 1376, 513, 6643, 547, 4309, 1489, 269, 2107, 4244, 569, 519, 1463, 1297, 568, 476, 30033, 4905, 476, 28276, 279, 1556, 1930, 476, 2190, 270, 278, 563, 288, 794, 585, 19732, 1465, 723, 6266, 540, 1344, 2228, 827, 1412, 1692, 547, 1832, 15508, 2635, 1282, 7334, 2053, 262, 5225, 4945, 593, 519, 6402, 2630, 585, 1489, 267, 5796, 267, 9066, 543, 811, 563, 23991, 25103, 910, 634, 10418, 585, 16508, 2657, 454, 23991, 25103, 3896, 1331, 1863, 28085, 609, 1900, 676, 1900, 10274, 267, 1919, 547, 798, 609, 1453, 543, 4388, 585, 3237, 563, 5445, 616, 849, 5356, 1863, 15970, 6030, 18799, 676, 2121, 332, 4548, 269, 7490, 804, 1074, 593, 519, 6402, 2630, 547, 1569, 891, 2200, 563, 276, 24238, 27678, 585, 5753, 543, 8479, 1004, 269, 1358, 616, 2110, 476, 277, 8792, 7044, 5059, 593, 7244, 543, 666, 581, 2944, 9170, 693, 20471, 269, 1358, 616, 2966, 547, 3142, 9350, 543, 1201, 1371, 865, 949, 581, 3730, 547, 930, 540, 938, 1762, 1004, 563, 23991, 22032, 17493, 3788, 4628, 1930, 585, 1870, 454, 2171, 3136, 547, 1683, 513, 1863, 927, 680, 710, 543, 952, 596, 991, 547, 2911, 267, 649, 616, 1934, 547, 6432, 609, 938, 8036, 543, 9952, 13781, 563, 24445, 721, 593, 476, 24699, 279, 476, 8517, 476, 19442, 273, 563, 2171, 917, 602, 3006, 621, 779, 2182, 547, 3717, 593, 519, 6049, 538, 513, 22125, 2230, 610, 1141, 621, 949, 711, 581, 2922, 547, 1289, 267, 596, 666, 4757, 18078, 17106, 11333, 3820, 610, 3643, 938, 3896, 543, 15473, 693, 8940, 8807, 13637, 331, 1161, 3820, 16896, 269, 1284, 616, 9750, 938, 927, 680, 710, 4390, 543, 3384, 3606, 2200, 1472, 7231, 609, 14699, 538, 519, 1753, 269, 3509, 3885, 616, 849, 1753, 18375, 543, 649, 723, 3773, 6266, 540, 3730, 4388, 593, 713, 543, 849, 2081, 538, 799, 3885, 666, 4497, 538, 1942, 1863, 2238, 1927, 547, 938, 3896, 563, 293, 7867, 8892, 616, 593, 513, 5692, 547, 2327, 602, 1453, 538, 670, 1068, 5112, 28790, 616, 2016, 519, 2645, 547, 2087, 741, 2168, 543, 2790, 1072, 689, 1753, 269, 1306, 513, 670, 1068, 5112, 28790, 1759, 2754, 649, 616, 4758, 3506, 543, 3885, 1863, 1569, 547, 674, 7867, 8892, 15029, 1153, 5008, 999, 616, 24451, 585, 782, 676, 1883, 11832, 1453, 269, 7490, 3643, 741, 3896, 585, 811, 1344, 563, 3086, 811, 982, 2479, 267, 1762, 1004, 991, 519, 1983, 547, 2226, 2318, 1582, 12635, 267, 8171, 543, 547, 1745, 29014, 827, 741, 2104, 269, 1284, 723, 2919, 513, 10189, 540, 1863, 2200, 267, 2966, 547, 1489, 3885, 547, 1020, 891, 1753, 6738, 1983, 269, 1284, 786, 581, 5781, 4946, 547, 713, 609, 1007, 2200, 865, 1832, 606, 3750, 856, 585, 10311, 563, 32086, 667, 919, 1107, 634, 744, 17247, 23966, 7690, 910, 1383, 540, 2866, 616, 1412, 294, 4361, 2866, 585, 581, 516, 8491, 3237, 267, 11980, 6604, 267, 3804, 4259, 543, 5329, 2922, 543, 8876, 593, 8339, 0, 295, 5495, 4306, 2177, 2443, 9894, 596, 4413, 621, 888, 763, 28610, 9855, 1396, 909, 519, 3781, 6607, 11728, 538, 513, 18477, 1129, 602, 4832, 568, 683, 2130, 606, 1439, 269, 634, 2407, 7599, 14191, 547, 519, 1313, 636, 2522, 1226, 514, 2135, 568, 1634, 607, 519, 28610, 9855, 1317, 621, 6505, 839, 519, 10543, 585, 6705, 16276, 3735, 4832, 7031, 563, 6097, 547, 519, 6196, 10787, 1067, 781, 1325, 2006, 659, 267, 519, 21152, 7550, 519, 4408, 540, 519, 2407, 24262, 2016, 676, 519, 7111, 4892, 563, 29309, 621, 11728, 286, 1411, 666, 1869, 1294, 621, 454, 22498, 3081, 519, 2407, 7599, 8445, 539, 693, 476, 278, 281, 4649, 533, 6230, 269, 6239, 942, 593, 11728, 267, 1498, 621, 5526, 2407, 585, 827, 1614, 2395, 267, 689, 10732, 10543, 998, 13723, 6640, 563, 1607, 1032, 267, 519, 4013, 1376, 540, 2887, 538, 519, 8832, 25955, 4386, 13723, 267, 20029, 269, 476, 2420, 2443, 519, 4013, 4098, 540, 2887, 269, 769, 20279, 267, 585, 2899, 267, 519, 1101, 1554, 540, 2887, 786, 2965, 1745, 899, 621, 7064, 547, 519, 12625, 540, 513, 3579, 4395, 630, 339, 777, 1934, 585, 811, 593, 602, 1916, 19604, 4034, 9855, 936, 20279, 281, 930, 540, 707, 533, 923, 454, 10673, 1405, 7340, 596, 666, 2141, 6494, 707, 3377, 270, 933, 1430, 6337, 543, 3381, 547, 918, 295, 5495, 476, 1556, 538, 938, 5985, 813, 267, 1175, 946, 519, 834, 301, 792, 2725, 257, 1599, 563, 2080, 616, 930, 540, 519, 1390, 533, 923, 649, 4312, 4607, 865, 2484, 912, 2080, 616, 519, 4408, 540, 782, 519, 2407, 24262, 912, 20464, 281, 16423, 9855, 630, 24874, 9855, 267, 10979, 9855, 994, 21938, 281, 16176, 9855, 630, 1805, 768, 9855, 267, 12017, 518, 9855, 994, 18550, 281, 654, 768, 9855, 630, 290, 6412, 9855, 267, 590, 777, 9855, 994, 19688, 281, 25968, 9855, 630, 292, 1375, 9855, 267, 12551, 7599, 994, 9802, 281, 27003, 9855, 630, 295, 732, 9855, 267, 22447, 9855, 994, 18907, 281, 853, 3863, 9440, 9855, 630, 305, 846, 9855, 267, 12182, 9855, 994, 20809, 281, 21207, 9855, 630, 1320, 8974, 9855, 267, 15917, 9855, 994, 20606, 281, 853, 25973, 517, 9855, 454, 20826, 281, 28610, 9855, 630, 290, 1941, 9855, 267, 4446, 2917, 9855, 994, 19751, 281, 28865, 781, 9855, 454, 21776, 281, 2142, 11232, 9855, 630, 293, 15543, 9855, 994, 20103, 281, 12019, 9855, 454, 290, 7034, 5240, 543, 654, 24433, 6874, 309, 8329, 547, 713, 1650, 0, 4504, 808, 2405, 2233, 476, 1708, 272, 282, 476, 1240, 263, 1428, 2567, 24783, 280, 268, 26552, 275, 269, 8222, 281, 1015, 269, 278, 1428, 271, 270, 6359, 916, 269, 5379, 274, 8287, 901, 3390, 454, 29797, 582, 4185, 281, 16332, 8839, 676, 8564, 633, 1230, 1998, 27853, 10552, 7177, 547, 853, 604, 548, 15302, 899, 5046, 268, 866, 454, 294, 516, 6390, 7177, 543, 5303, 267, 476, 2764, 8092, 5658, 1773, 18054, 267, 4934, 518, 23580, 10003, 476, 272, 267, 14055, 267, 2098, 26907, 345, 17924, 267, 476, 14596, 1822, 267, 3624, 563, 300, 4157, 615, 329, 2465, 6673, 269, 29138, 281, 16332, 8839, 676, 8564, 633, 1230, 1998, 27853, 10552, 7177, 547, 853, 604, 548, 15302, 899, 5046, 268, 866, 269, 2271, 808, 2405, 2233, 476, 1708, 272, 282, 476, 1240, 263, 1428, 2567, 24783, 280, 268, 26552, 275, 269, 8222, 281, 1015, 269, 278, 1428, 271, 270, 6359, 916, 269, 5379, 274, 8287, 269, 12232, 689, 4179, 2517, 4178, 6230, 2644, 857, 3820, 23218, 1240, 335, 24783, 280, 21867, 454, 14483, 3044, 6669, 4152, 10873, 1491, 5111, 476, 1015, 268, 2190, 3275, 540, 4152, 1354, 513, 6669, 666, 581, 10294, 3811, 269, 6884, 676, 519, 942, 513, 3811, 6669, 568, 856, 585, 1857, 946, 267, 519, 12176, 949, 2907, 581, 936, 269, 2060, 1100, 6669, 610, 27179, 3075, 2139, 547, 1521, 519, 7783, 267, 649, 616, 2451, 609, 519, 2085, 6040, 2409, 540, 10072, 267, 31741, 267, 543, 1964, 267, 547, 10654, 971, 513, 10194, 12176, 269, 1230, 1998, 27853, 1973, 3797, 543, 32128, 11919, 3797, 723 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 713, 2197, 269, 1733, 12241, 1010, 1289, 585, 1875, 8686, 2723, 550, 543, 16614, 2623, 949, 2408, 607, 513, 10257, 804, 320, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29638, 543, 12339, 21442, 29576, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 3979, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8702, 547, 938, 3408, 540, 4831, 4812, 538, 2575, 256, 1411, 1522, 581, 11842, 1018, 4010, 834, 322, 3300, 4812, 257, 1797, 269, 4270, 267, 4952, 1079, 1004, 13465, 1114, 23964, 693, 519, 1482, 942, 910, 855, 3079, 540, 3280, 532, 26093, 267, 621, 5932, 513, 4190, 10103, 269, 2334, 781, 519, 9759, 540, 4831, 4812, 256, 2913, 781, 4685, 883, 713, 4241, 7574, 1523, 1927, 780, 5575, 267, 1577, 781, 1174, 875, 1367, 23964, 960, 1354, 649, 9192, 873, 269, 6056, 827, 707, 5172, 19820, 282, 6148, 621, 781, 513, 6952, 344, 1402, 5152, 610, 513, 12300, 6249, 689, 513, 7260, 269, 3767, 267, 2119, 23832, 610, 13465, 1175, 835, 851, 540, 602, 23260, 1247, 9878, 3007, 547, 922, 22705, 543, 17498, 267, 899, 16246, 3268, 610, 2469, 1524, 513, 13472, 269, 901, 3350, 538, 12334, 568, 1572, 513, 834, 1467, 1701, 1879, 25803, 1711, 23964, 267, 789, 5402, 4739, 891, 3515, 865, 602, 789, 2095, 12347, 543, 18427, 4664, 780, 3086, 267, 1934, 2501, 519, 1187, 851, 1107, 9256, 29375, 302, 3982, 5283, 21288, 3515, 547, 1106, 4831, 4812, 256, 1677, 3035, 713, 6707, 267, 25803, 1590, 2327, 602, 950, 5916, 267, 9444, 1899, 2531, 7149, 936, 519, 824, 6862, 4991, 4503, 1369, 519, 3575, 269, 5637, 3515, 991, 547, 2226, 741, 7115, 1247, 7700, 547, 519, 2949, 23191, 1267, 269, 12861, 1434, 4831, 4812, 3340, 5578, 995, 13326, 1063, 8082, 630, 15290, 519, 1079, 3515, 3100, 547, 32692, 264, 543, 6571, 630, 15290, 789, 5447, 18991, 6393, 4131, 803, 2671, 606, 1383, 1210, 2241, 2185, 5991, 1774, 3270, 1572, 834, 339, 25523, 577, 3581, 1701, 5994, 1079, 2206, 619, 7900, 5094, 25543, 577, 867, 9696, 8195, 269, 3689, 590, 5424, 281, 595, 5174, 5025, 8566, 282, 5822, 590, 5424, 281, 717, 6363, 7232, 5937, 269, 1403, 596, 6432, 5702, 267, 596, 3513, 5469, 602, 4352, 1312, 3515, 723, 2189, 5322, 267, 789, 849, 9148, 1142, 824, 11745, 1227, 1317, 519, 2063, 4063, 540, 519, 1101, 22256, 781, 5311, 13292, 9985, 609, 519, 1101, 4063, 540, 519, 2034, 22256, 781, 5311, 269, 901, 12972, 7472, 513, 17598, 1198, 1634, 607, 834, 29793, 1664, 5163, 3010, 2414, 1118, 1919, 1256, 811, 4277, 267, 3006, 25803, 786, 17543, 1711, 10151, 4744, 28585, 676, 2348, 519, 1079, 3515, 1847, 2509, 610, 2476, 689, 1142, 824, 267, 2870, 8082, 269, 1809, 1810, 1405, 5855, 1107, 1310, 2679, 909, 930, 24457, 998, 4744, 517, 656, 11996, 267, 9952, 25803, 2141, 8207, 873, 609, 27901, 3283, 267, 16089, 602, 3710, 5346, 8082, 543, 24886, 938, 10772, 780, 9961, 1686, 267, 1390, 12372, 899, 29732, 267, 20787, 691, 267, 543, 2142, 29348, 27058, 519, 1148, 540, 4831, 4812, 543, 11368, 621, 883, 741, 1568, 269, 1924, 1985, 942, 596, 6432, 547, 2575, 267, 1294, 952, 596, 666, 4584, 856, 2789, 5283, 21288, 9739, 15025, 1369, 519, 4062, 269, 1635, 1620, 4831, 4812, 267, 596, 2811, 11362, 4514, 883, 519, 3638, 1158, 540, 2575, 5888, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 17138, 281, 25538, 1676, 781, 834, 307, 2077, 534, 3768, 1772, 1245, 324, 9899, 1323, 4828, 593, 519, 25538, 1676, 1014, 30765, 454, 12041, 281, 6723, 589, 1231, 12340, 670, 697, 454, 3725, 3161, 4266, 281, 4989, 476, 272, 267, 476, 1220, 276, 1496, 324, 9349, 1948, 4281, 274, 275, 2639, 7197, 5063, 8242, 281, 4989, 476, 1428, 267, 476, 1708, 273, 454, 303, 23035, 519, 22649, 267, 8429, 519, 3781, 2676, 303, 23035, 267, 796, 5979, 3151, 519, 3180, 540, 1250, 635, 8565, 781, 3946, 2676, 303, 23035, 519, 5152, 540, 519, 1200, 2466, 6177, 543, 519, 512, 958, 532, 5152, 540, 1250, 9997, 2676, 309, 1112, 16124, 5152, 267, 2669, 781, 17752, 5152, 267, 2943, 8795, 267, 2479, 17038, 18146, 5152, 2676, 2026, 1970, 543, 530, 9430, 267, 2943, 2312, 519, 4967, 267, 8375, 543, 9991, 267, 14700, 519, 3781, 2676, 306, 611, 569, 29855, 543, 535, 31021, 267, 607, 9963, 543, 9963, 267, 543, 2943, 1586, 16802, 532, 609, 7772, 2676, 290, 1478, 532, 519, 3618, 543, 11423, 519, 3262, 540, 519, 13140, 2676, 2026, 602, 3532, 533, 15680, 332, 538, 519, 3781, 594, 4862, 689, 12424, 525, 563, 763, 1739, 3817, 2270, 2370, 952, 4376, 602, 568, 1007, 267, 610, 602, 1131, 581, 2693, 547, 1719, 1346, 945, 616, 2907, 693, 1753, 538, 25538, 1676, 781, 960, 269, 1358, 616, 5497, 585, 1346, 945, 616, 4098, 519, 1353, 540, 25538, 1676, 269, 769, 19220, 540, 1082, 2835, 267, 594, 917, 540, 1100, 25538, 1676, 3332, 538, 2296, 547, 799, 513, 19444, 666, 2490, 530, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 4785, 2975, 1315, 19019, 1299, 5530, 1315, 23531, 1315, 22388, 4812, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 1012, 10439, 1944, 25670, 538, 513, 476, 273, 291, 18140, 692, 1103, 713, 3296, 267, 649, 786, 2263, 875, 547, 14650, 519, 5860, 540, 1079, 2326, 267, 4154, 543, 13339, 267, 538, 513, 476, 273, 291, 4729, 1210, 5124, 781, 32287, 5399, 269, 901, 786, 4125, 2870, 513, 2681, 8663, 609, 2688, 24217, 543, 10297, 547, 5815, 519, 5860, 540, 1142, 1570, 780, 5575, 267, 1577, 781, 1104, 519, 2556, 8021, 1384, 3499, 7090, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 454, 7884, 2162, 11426, 1944, 519, 7822, 8663, 692, 763, 2681, 8663, 568, 513, 21370, 6041, 540, 519, 2039, 540, 2418, 538, 513, 10471, 269, 769, 938, 2013, 267, 649, 1616, 547, 946, 621, 547, 1397, 519, 5860, 540, 4154, 543, 13339, 538, 513, 476, 273, 291, 4729, 269, 1677, 798, 713, 267, 649, 991, 547, 1711, 2688, 24217, 543, 10297, 585, 519, 2681, 8663, 780, 4131, 781, 8263, 649, 723, 513, 8675, 1572, 2387, 3430, 847, 528, 318, 1706, 4461, 319, 602, 3568, 519, 5860, 540, 4154, 543, 13339, 538, 4846, 8276, 317, 274, 269, 1284, 666, 1349, 519, 5860, 540, 4154, 899, 713, 1384, 3499, 7090, 454, 24838, 14682, 1245, 815, 4482, 528, 318, 1706, 4461, 9131, 24838, 14682, 1245, 23300, 7884, 9202, 267, 649, 666, 1711, 513, 1592, 540, 8743, 6753, 543, 10297, 269, 1284, 3513, 946, 930, 2182, 322, 10757, 2418, 585, 519, 8743, 6753, 267, 855, 596, 666, 1118, 713, 6422, 585, 1079, 2326, 1384, 3499, 7090, 454, 339, 1157, 9078, 665, 338, 815, 1496, 271, 269, 271, 267, 11002, 334, 5334, 559, 6625, 267, 476, 4335, 271, 269, 271, 267, 476, 16020, 271, 269, 271, 267, 476, 1911, 876, 269, 271, 267, 476, 10219, 876, 269, 271, 2676, 17264, 476, 5611, 876, 269, 271, 267, 476, 11260, 876, 269, 271, 267, 11002, 334, 14682, 1245, 2639, 339, 1157, 9078, 629, 1564, 815, 18358, 271, 3299, 1412, 346, 281, 271, 269, 272, 325, 348, 910, 13961, 8339, 8971, 263, 24838, 5334, 559, 6625, 1070, 1412, 4335, 271, 3299, 1412, 16020, 271, 22779, 25639, 1412, 1911, 876, 3299, 1412, 10219, 876, 3299, 1412, 5611, 876, 3299, 1412, 11260, 876, 3299, 1412, 346, 281, 271, 269, 272, 325, 348, 910, 30080, 8339, 8971, 263, 24838, 14682, 1245, 22708, 7884, 3086, 602, 649, 723, 938, 8743, 6753, 543, 10297, 267, 649, 666, 1711, 519, 2681, 8663, 269, 1284, 3513, 946, 519, 2387, 3553, 13448, 16932, 13237, 543, 2387, 3553, 318, 29786, 13237, 2409, 547, 1305, 519, 1535, 543, 586, 7852, 10297, 267, 6606, 269, 3973, 267, 649, 3513, 946, 519, 2387, 10233, 8663, 13237, 1505, 547, 1711, 519, 2681, 8663, 267, 543, 519, 2387, 3553, 318, 12682, 1157, 18350, 1564, 13237, 1505, 547, 1305, 519, 8743, 10297, 269, 7053, 267, 649, 3513, 946, 519, 2387, 3553, 9078, 8475, 13237, 1505, 547, 1305, 519, 6003, 585, 519, 2681, 8663, 1384, 3499, 7090, 454, 1314, 15630, 13448, 16932, 3488, 259, 343, 27572, 1723, 15453, 1496, 636, 316, 5073, 1314, 15630, 318, 29786, 3488, 259, 344, 27572, 1723, 15453, 1496, 636, 316, 5073, 322, 8663, 815, 4453, 269, 10233, 8663, 263, 19112, 267, 4949, 284, 1314, 267, 24217, 284, 339, 1157, 9078, 665, 338, 994, 322, 8663, 269, 1314, 15630, 318, 12682, 1157, 18350, 1564, 6025, 1157, 9078, 629, 1564, 994, 322, 8663, 15630, 9078, 8475, 3488, 291, 3748, 1496, 11899, 8276, 259, 317, 274, 259, 316, 5073, 14808, 6745, 697, 9078, 599, 719, 4590, 10823, 20481, 4590, 7884, 2162, 13281, 519, 8943, 692, 2414, 1449, 938, 3009, 267, 649, 666, 9296, 618, 519, 1739, 3515, 1384, 3499, 7090, 454, 258, 1535, 343, 267, 586, 344, 267, 1990, 345, 267, 11002, 334, 14682, 5090, 815, 1628, 318, 274, 323, 24512, 263, 14620, 846, 18989, 2020, 258, 1820, 4590, 258, 1820, 3488, 26161, 2450, 281, 2715, 281, 271, 269, 272, 325, 348, 23729, 17879, 5052, 262, 315, 454, 258, 1363, 1547, 8971, 263, 15615, 4433, 903, 3052, 1115, 1125, 1993, 263, 24838, 14682, 5090, 4297, 1315, 476, 272, 269, 271, 324, 277, 11723, 258, 4729, 13448, 344, 5091, 3748, 263, 14620, 846, 18989, 994, 7884, 1607, 786, 1628, 513, 476, 274, 291, 5044, 543, 1820, 922, 2450, 538, 19251, 17879, 5052, 267, 1287, 4729, 519, 27976, 5860, 1210, 938, 2688, 2681, 8663, 780, 2162, 10390, 692, 1103, 713, 3296, 267, 649, 4121, 875, 547, 1711, 513, 2688, 2681, 8663, 609, 24217, 543, 10297, 585, 513, 476, 273, 291, 4729, 1210, 5124, 781, 32287, 5399, 269, 1284, 1031, 713, 4480, 547, 14650, 519, 5860, 540, 4154, 543, 13339, 538, 513, 476, 273, 291, 4729, 269, 901, 568, 513, 3532, 1907, 585, 1239, 14839, 267, 543, 666, 581, 1031, 538, 513, 3099, 540, 3156, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 815, 4482, 528, 318, 1706, 4461, 9131, 24838, 14682, 1245, 262, 6540, 825, 12693, 2368, 2688, 543, 2182, 322, 10757, 24217, 14322, 649, 786, 581, 1210, 4154, 543, 13339, 547, 3097, 825, 12693, 547, 1118, 938, 4482, 832, 267, 1522, 581, 26656, 547, 1118, 713, 6422, 585, 1079, 2326, 454, 825, 8743, 9078, 665, 338, 815, 1496, 271, 269, 271, 267, 11002, 334, 5334, 559, 6625, 267, 476, 4335, 271, 269, 271, 267, 476, 16020, 271, 269, 271, 267, 476, 1911, 876, 269, 271, 267, 476, 10219, 876, 269, 271, 12101, 454, 4449, 476, 5611, 876, 269, 271, 267, 476, 11260, 876, 269, 271, 267, 11002, 334, 14682, 1245, 2639, 825, 8743, 9078, 629, 1564, 815, 18358, 271, 3299, 1412, 346, 281, 271, 269, 272, 325, 348, 910, 13961, 8339, 8971, 263, 24838, 5334, 559, 6625, 1070, 1412, 4335, 271, 3299, 1412, 16020, 271, 3299, 26444, 7386, 1412, 1911, 876, 3299, 1412, 10219, 876, 3299, 1412, 5611, 876, 3299, 1412, 11260, 876, 3299, 1412, 346, 281, 271, 269, 272, 325, 348, 910, 30080, 8339, 8971, 263, 24838, 14682, 1245, 264, 6540, 825, 4949, 15630, 13448, 16932, 3488, 259, 343, 27572, 1723, 15453, 1496, 636, 316, 5073, 825, 4949, 15630, 318, 29786, 3488, 259, 344, 27572, 1723, 15453, 1496, 636, 316, 5073, 825, 524, 8663, 815, 4453, 269, 10233, 8663, 263, 19112, 267, 4949, 284, 1314, 267, 24217, 284 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3848, 476, 276, 281, 26492, 543, 31654, 1682, 540, 27223, 781, 4303, 692, 296, 269, 4985, 692, 11749, 20634, 781, 4303, 814, 1279, 1044, 9976, 607, 513, 1554, 540, 15832, 543, 15754, 269, 634, 1686, 540, 713, 9702, 666, 581, 14360, 1394, 547, 3504, 7507, 267, 1141, 621, 729, 1634, 607, 700, 10967, 5632, 807, 267, 513, 12680, 13037, 6131, 547, 13056, 684, 639, 267, 519, 4936, 5601, 540, 6683, 269, 3683, 942, 267, 27223, 781, 4303, 7960, 883, 513, 11812, 540, 11509, 2648, 267, 6825, 676, 7215, 540, 15754, 267, 13344, 267, 543, 17267, 540, 11587, 269, 769, 713, 3184, 267, 649, 5490, 4514, 883, 519, 5389, 543, 9821, 2404, 609, 713, 2442, 9702, 780, 2862, 269, 8466, 17461, 692, 288, 269, 9147, 17959, 692, 272, 269, 634, 4936, 13037, 540, 700, 10967, 5632, 807, 267, 4371, 1169, 1032, 593, 5988, 476, 1428, 628, 267, 28165, 519, 10971, 13056, 684, 639, 543, 700, 10967, 322, 639, 267, 945, 6870, 1352, 17731, 1091, 543, 741, 1166, 4169, 563, 273, 269, 4438, 700, 10967, 5632, 807, 267, 1762, 2367, 1131, 14816, 21736, 267, 1287, 946, 23820, 610, 2915, 2960, 627, 2354, 547, 838, 1678, 2021, 538, 1931, 547, 2327, 12680, 563, 274, 269, 901, 25384, 13037, 5555, 2968, 2404, 609, 853, 269, 27223, 267, 513, 4168, 12004, 10455, 13401, 1472, 476, 17734, 5084, 585, 7900, 5728, 7365, 18428, 1996, 519, 16858, 540, 14890, 19863, 3780, 4083, 780, 289, 269, 12472, 540, 27223, 781, 4303, 692, 272, 269, 1635, 519, 5664, 12698, 267, 27223, 781, 4303, 1185, 1831, 513, 11812, 540, 11509, 2648, 2429, 2342, 563, 273, 269, 932, 29694, 781, 834, 13640, 8365, 540, 674, 578, 3149, 2437, 2854, 538, 519, 3735, 476, 1691, 628, 2540, 267, 3568, 835, 540, 519, 9998, 8100, 547, 27223, 781, 4303, 607, 513, 18798, 262, 9702, 563, 274, 269, 9956, 2417, 2442, 1242, 519, 2856, 540, 27223, 781, 4303, 607, 513, 1554, 540, 15832, 998, 1010, 4249, 543, 5067, 26506, 780, 7656, 269, 7073, 26492, 543, 31654, 1682, 692, 288, 269, 25285, 540, 18748, 542, 692, 272, 269, 21998, 281, 4653, 267, 11488, 28551, 6486, 3788, 513, 2442, 1259, 547, 2769, 4606, 540, 2648, 543, 7071, 269, 4340, 547, 8065, 5658, 267, 5111, 476, 13970, 2929, 27223, 781, 4303, 6486, 616, 22121, 12422, 563, 273, 269, 717, 22284, 281, 5871, 13344, 1331, 669, 4377, 919, 267, 14446, 267, 543, 5810, 1765, 31860, 2699, 24712, 267, 29544, 5898, 543, 6612, 563, 274, 269, 30123, 999, 281, 20550, 1676, 7389, 267, 15964, 1205, 25498, 267, 543, 9983, 11509, 17267, 3136, 547, 581, 2442, 2081, 547, 8661, 27223, 781, 4303, 780, 289, 269, 8836, 7352, 566, 692, 272, 269, 3567, 281, 2201, 27223, 781, 4303, 538, 3567, 267, 621, 568, 22232, 585, 2021, 547, 1459, 10217, 13344, 547, 2367, 269, 9093, 2132, 519, 3870, 593, 4728, 476, 1691, 628, 267, 799, 568, 5219, 547, 607, 6519, 4303, 563, 273, 269, 3162, 9705, 281, 6684, 267, 538, 3162, 9705, 267, 972, 568, 849, 513, 2245, 1572, 834, 14937, 4303, 257, 593, 4989, 476, 1691, 628, 585, 1346, 945, 1705, 711, 4309, 1022, 13344, 1282, 27223, 781, 4303, 610, 6519, 4303, 269, 19893, 5531, 1927, 547, 3548, 3109, 21167, 1790, 4292, 30653, 543, 862, 529, 4733, 827, 741, 2582, 4567, 563, 274, 269, 16862, 543, 16157, 281, 5502, 540, 2757, 27223, 781, 6486, 267, 667, 6951, 5385, 20399, 3043, 5810, 1572, 6777, 323, 28979, 267, 1247, 7439, 933, 326, 2103, 6494, 834, 8615, 2131, 651, 12934, 2437, 14973, 6586, 2719, 18627, 9896, 1152, 609, 15956, 7222, 547, 519, 1297, 540, 5022, 538, 519, 30699, 781, 2012, 780, 4353, 269, 7351, 12367, 543, 7464, 21509, 6201, 692, 288, 269, 14044, 4406, 550, 1149, 692, 272, 269, 2060, 7760, 538, 2029, 267, 5691, 27223, 781, 4303, 2833, 723, 6591, 8560, 267, 2523, 9624, 1514, 26865, 3800, 1813, 547, 5046, 268, 866, 6855, 563, 273, 269, 11473, 7125, 267, 2228, 3756, 267, 543, 5691, 4266, 17334, 1683, 4244, 2081, 585, 15185, 547, 1921, 543, 8661, 741, 2648, 780, 289, 269, 32213, 11146, 692, 272, 269, 8895, 20634, 781, 4303, 281, 3213, 1441, 676, 14070, 1915, 15776, 12340, 12928, 2100, 689, 519, 7641, 3126, 20088, 543, 28046, 267, 8895, 20634, 781, 4303, 3217, 1747, 593, 5988, 476, 1724, 628, 543, 7512, 4775, 11505, 543, 17604, 563, 273, 269, 11806, 266, 7991, 281, 3509, 4213, 1631, 2709, 1482, 20967, 1130, 20634, 6486, 543, 25584, 267, 10452, 3395, 10343, 543, 13784, 1369, 2486, 780, 309, 269, 10390, 692, 2026, 7152, 2429, 713, 3184, 267, 27223, 781, 4303, 6585, 3638, 3140, 4644, 543, 5170, 547, 11457, 7258, 2413, 2528, 269, 3245, 922, 8129, 607, 513, 25384, 12680, 13037, 547, 922, 4207, 23314, 607, 513, 2518, 11812, 540, 2648, 267, 27223, 781, 4303, 3091, 2189, 3255, 585, 2043, 547, 1921, 267, 2671, 15754, 267, 543, 7119, 538, 3309, 2686, 2853, 269, 1306, 6848, 8155, 6521, 543, 1007, 4066, 10836, 267, 621, 568, 2693, 602, 27223, 781, 4303, 786, 6414, 607, 513, 19644, 8317, 585, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23219, 940, 281, 2422, 540, 3768, 18249, 3586, 24199, 26113, 312, 7838, 299, 318, 2207, 303, 318, 2793, 300, 2464, 303, 19781, 910, 10924, 1412, 8025, 3041, 26113, 312, 7838, 299, 318, 2207, 303, 318, 2793, 300, 2464, 303, 19781, 262, 630, 10472, 786, 12235, 606, 18438, 538, 513, 2104, 4528, 540, 23285, 264, 538, 1315, 24610, 11305, 2396, 518, 270, 4178, 8276, 1678, 514, 1343, 976, 326, 731, 839, 2593, 9706, 3016, 318, 6255, 6447, 11320, 335, 9762, 550, 270, 680, 1872, 1231, 27160, 6470, 3146, 1417, 1790, 739, 338, 11320, 573, 12033, 270, 628, 1170, 574, 344, 14766, 318, 292, 6470, 13146, 15803, 318, 310, 573, 1326, 21703, 593, 1899, 476, 1704, 2806, 559, 2940, 779, 27223, 779, 4303, 4741, 20620, 4263, 631, 1678, 514, 543, 25860, 12567, 779, 267, 649, 2648, 27223, 779, 4303, 269, 1703, 568, 1100, 1732, 1554, 547, 2671, 1018, 649, 798, 1655, 609, 938, 2146, 269, 1284, 723, 1044, 8600, 585, 4374, 585, 5988, 476, 1691, 628, 543, 649, 723, 3388, 596, 991, 713, 1032, 547, 1397, 602, 2027, 2576, 875, 1454, 596, 1416, 269, 22067, 538, 543, 1294, 519, 1390, 5542, 540, 24712, 543, 824, 5810, 547, 1118, 707, 27223, 12837, 563, 4407, 3025, 22842, 27223, 779, 4303, 8335, 267, 649, 4941, 547, 2671, 513, 1906, 4388, 585, 1818, 2386, 707, 9702, 4422, 1055, 1510, 513, 554, 3558, 912, 763, 1883, 547, 513, 1390, 27223, 779, 4303, 568, 513, 2370, 3787, 540, 4058, 269, 6056, 827, 875, 707, 1554, 568, 2469, 547, 1404, 856, 269, 1403, 596, 1131, 899, 547, 2285, 707, 1713, 824, 865, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9199, 1885, 543, 31654, 1682, 257, 607, 851, 540, 834, 16300, 13493, 1315, 32733, 1299, 18270, 725, 1315, 27223, 781, 4303, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 10848, 4478, 519, 7844, 19724, 640, 19088, 1108, 267, 4481, 607, 621, 25701, 547, 7489, 4892, 543, 7414, 6816, 619, 630, 288, 4338, 296, 264, 1369, 519, 2796, 540, 1977, 6965, 269, 634, 2203, 12102, 7242, 267, 799, 6591, 20086, 1282, 519, 476, 3422, 271, 338, 6406, 7126, 11873, 267, 11475, 589, 4338, 3674, 607, 25144, 3811, 267, 1164, 268, 778, 773, 1324, 2043, 267, 25848, 1005, 1713, 13103, 602, 2291, 1851, 1585, 6803, 2516, 896, 519, 589, 4338, 296, 22597, 269, 901, 936, 13678, 680, 2305, 8309, 547, 11528, 10168, 543, 12042, 619, 17604, 3646, 1063, 12790, 2950, 269, 1635, 6313, 9954, 2854, 676, 7489, 1977, 543, 7414, 29474, 15023, 267, 649, 786, 2263, 875, 891, 5159, 4161, 519, 10148, 13684, 676, 519, 2203, 12102, 7242, 1247, 11589, 741, 2189, 2833, 543, 9163, 780, 296, 269, 8466, 12745, 540, 519, 7844, 19724, 640, 19088, 454, 2414, 1174, 519, 6286, 540, 519, 2203, 12102, 7242, 267, 621, 781, 1898, 547, 4983, 922, 8129, 543, 1646, 2429, 1686, 269, 4438, 519, 2022, 28131, 2782, 4083, 5736, 267, 2797, 10196, 29464, 808, 269, 717, 753, 22579, 519, 2165, 834, 22131, 26382, 14940, 2437, 13288, 547, 17319, 28930, 725, 609, 2686, 5389, 2864, 982, 7184, 3824, 11712, 7292, 9163, 269, 4014, 717, 753, 4294, 713, 1523, 5097, 547, 3864, 11082, 267, 14519, 4166, 6905, 12572, 14940, 547, 1306, 2103, 21945, 538, 3013, 1310, 2622, 2782, 4083, 269, 9182, 267, 7489, 4892, 3459, 1373, 9228, 607, 513, 4630, 18100, 1895, 540, 2182, 11529, 267, 10995, 267, 543, 1876, 268, 629, 4575, 4961, 12544, 22880, 4334, 547, 3979, 4892, 10010, 1996, 12250, 1242, 10168, 780, 1607, 8226, 6039, 2789, 5301, 269, 3689, 267, 621, 4847, 3043, 14761, 547, 17854, 12902, 1394, 31077, 2962, 4507, 676, 15738, 856, 519, 9277, 18454, 540, 7489, 4892, 1510, 14344, 29886, 14227, 7496, 5185, 676, 824, 5634, 527, 1242, 2516, 269, 5822, 267, 10771, 519, 10781, 540, 7489, 4892, 1219, 21124, 9880, 2476, 689, 11528, 2152, 12735, 5224, 4563, 543, 5824, 343, 2950, 269, 7053, 267, 519, 2203, 12102, 7242, 27838, 6498, 1063, 589, 4338, 3674, 543, 824, 12790, 2516, 267, 1167, 15758, 954, 24055, 5755, 1431, 2556, 585, 1514, 1689, 780, 2862, 269, 8177, 540, 519, 7844, 19724, 640, 19088, 593, 589, 4338, 296, 14740, 19725, 454, 763, 2203, 12102, 7242, 5222, 1367, 3961, 5250, 3157, 1369, 519, 589, 4338, 296, 2146, 269, 853, 699, 12111, 673, 6788, 666, 1711, 2604, 547, 14883, 547, 1808, 5107, 543, 5615, 2404, 609, 4081, 17284, 543, 2883, 6617, 269, 1280, 3236, 267, 7325, 1470, 595, 14008, 10011, 320, 532, 267, 4171, 1920, 688, 2812, 689, 519, 29401, 6243, 855, 29084, 538, 1715, 3840, 4975, 267, 1522, 1745, 25997, 547, 15666, 547, 519, 2203, 12102, 3239, 1813, 547, 6848, 12503, 5103, 2348, 6404, 6561, 269, 1452, 5007, 7506, 949, 3337, 1582, 12656, 4003, 543, 3565, 547, 4835, 1242, 15746, 780, 7656, 269, 7313, 2045, 18650, 18830, 519, 7844, 19724, 640, 19088, 454, 8601, 6849, 971, 2591, 267, 1082, 589, 4338, 296, 15023, 946, 14235, 607, 513, 1797, 540, 4187, 1996, 519, 32604, 540, 519, 2203, 12102, 7242, 269, 4256, 1568, 7866, 3309, 2833, 543, 6386, 1419, 15763, 538, 13416, 11407, 269, 5565, 8037, 10070, 12013, 4328, 19621, 7903, 3724, 1996, 519, 2203, 12102, 7242, 616, 9149, 268, 21930, 10557, 781, 3883, 540, 3733, 715, 2074, 543, 595, 4331, 5244, 15173, 781, 19933, 19933, 7169, 780, 288, 269, 9149, 268, 21930, 10557, 781, 3883, 540, 3733, 715, 2074, 454, 30537, 268, 21930, 10557, 267, 606, 28601, 4457, 1977, 10564, 267, 7710, 4798, 540, 3965, 267, 3961, 267, 543, 22686, 3347, 538, 3883, 540, 3733, 715, 2074, 269, 3571, 960, 1016, 591, 1206, 2757, 11994, 540, 7489, 4892, 607, 10419, 783, 30707, 610, 14980, 31356, 269, 5502, 267, 10557, 28420, 15982, 8090, 3838, 1063, 5481, 267, 10223, 1312, 9620, 543, 29217, 4810, 676, 7489, 19366, 3885, 269, 3414, 12667, 11052, 543, 11430, 3740, 1893, 267, 10557, 19267, 513, 13857, 4605, 540, 589, 4338, 296, 1272, 3564, 519, 7522, 9165, 3989, 676, 519, 2203, 12102, 7242, 780, 289, 269, 595, 4331, 5244, 15173, 781, 19933, 19933, 7169, 454, 1103, 1200, 4015, 19933, 19933, 7169, 267, 11114, 1977, 10564, 595, 4331, 5244, 15173, 15359, 1206, 519, 7687, 5116, 2390, 589, 4338, 296, 2021, 676, 2486, 543, 2442, 2528, 269, 14301, 6667, 689, 12048, 5577, 2575, 543, 5691, 4641, 11080, 267, 1352, 13492, 5499, 18627, 602, 5706, 11008, 1436, 543, 2736, 1863, 689, 6671, 8155, 269, 15173, 31886, 519, 2144, 5501, 540, 589, 4338, 296, 12583, 543, 7418, 1247, 4101, 3988, 547, 556, 29264, 26608, 18727, 18765, 3823, 5198, 267, 4008, 267, 543, 1379, 6384, 780, 4353, 269, 12634, 25684, 543, 28249, 1275, 454, 2026, 7152, 676, 4207, 5322, 899, 1948, 1805, 641, 2026, 1014, 295, 622, 543, 1948, 14937, 299, 1161, 300, 2660, 267, 28622, 4249, 513, 2629 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2480, 1117, 30389, 267, 519, 17765, 814, 1044, 8655, 547, 513, 1880, 5872, 269, 634, 5106, 602, 568, 8655, 547, 519, 17765, 814, 547, 581, 8737, 547, 1847, 593, 547, 519, 1985, 5106, 563, 763, 1152, 4480, 602, 666, 581, 8246, 585, 1114, 8800, 5933, 269, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 4523, 950, 606, 11346, 13788, 519, 1796, 8386, 1533, 610, 7475, 563, 347, 13640, 600, 4394, 540, 18948, 1475, 7093, 3319, 633, 2480, 1117, 30389, 1475, 15239, 1790, 516, 3319, 633, 2480, 1117, 30389, 2008, 26180, 2716, 2225, 1475, 2005, 568, 8465, 13954, 2005, 568, 1875, 1922, 2716, 1043, 8198, 18871, 739, 1475, 2005, 568, 1942, 23938, 13954, 2005, 568, 1875, 21057, 2404, 8198, 347, 2704, 326, 3596, 332, 1475, 2005, 814, 606, 5690, 540, 16841, 15175, 13954, 2005, 814, 1100, 971, 5690, 585, 16841, 15175, 8198, 347, 11328, 8306, 1475, 763, 1184, 666, 581, 29169, 3362, 13954, 763, 1184, 3112, 581, 29169, 8198, 347, 9573, 308, 13345, 1475, 5415, 3608, 1475, 27832, 3608, 2008, 1432, 568, 2776, 3319, 633, 2480, 1117, 30389, 888, 2005, 568, 519, 1599, 540, 519, 17765, 11674, 518, 547, 15814, 513, 4783, 547, 519, 17765, 693, 8726, 1448, 519, 17765, 568, 538, 519, 29680, 1533, 269, 634, 17765, 11674, 518, 23297, 513, 4783, 689, 519, 5423, 1899, 543, 3651, 338, 519, 5872, 547, 519, 17765, 563, 1103, 713, 2186, 540, 4058, 267, 519, 7221, 630, 9573, 308, 18888, 264, 723, 1044, 11280, 547, 7500, 585, 513, 11658, 2268, 540, 942, 269, 1323, 5106, 666, 581, 29169, 950, 621, 568, 1373, 5340, 610, 13401, 563, 1103, 840, 680, 10165, 4058, 267, 538, 519, 2680, 602, 513, 4783, 602, 814, 513, 1164, 991, 2982, 909, 538, 519, 5423, 1899, 267, 519, 5106, 799, 814, 513, 1970, 991, 4991, 11074, 267, 543, 1577, 779, 9096, 519, 5106, 609, 1164, 991, 563, 10112, 11167, 593, 519, 1055, 4960, 602, 513, 4783, 602, 814, 519, 1034, 29810, 991, 2982, 909, 267, 713, 5106, 3085, 1406, 3180, 585, 519, 2898, 5106, 547, 9096, 563, 305, 1430, 982, 1018, 621, 786, 798, 267, 621, 786, 14443, 519, 4783, 543, 1118, 519, 1184, 11931, 267, 543, 621, 786, 1376, 519, 5106, 585, 602, 1184, 799, 814, 1164, 10862, 563, 1607, 2636, 519, 4783, 547, 1205, 8737, 267, 799, 814, 2362, 10862, 982, 519, 824, 267, 543, 2899, 519, 5106, 568, 936, 267, 621, 786, 1376, 519, 1985, 835, 563, 17798, 2059, 891, 3515, 267, 1169, 835, 540, 519, 4238, 799, 616, 538, 519, 3015, 1899, 4991, 606, 4998, 4316, 547, 2196, 563, 1432, 568, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 888, 763, 5106, 799, 4523, 950, 513, 1184, 7475, 610, 2242, 689, 5571, 547, 7996, 585, 1533, 713, 4990, 540, 17765, 5106, 568, 1572, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 563, 1607, 1826, 540, 20319, 568, 4294, 950, 519, 4238, 616, 8737, 689, 835, 1533, 547, 519, 824, 563, 1103, 713, 1826, 540, 1184, 267, 621, 1281, 711, 723, 519, 1599, 547, 14443, 519, 5106, 899, 538, 2776, 3319, 633, 835, 267, 865, 1018, 4523, 568, 2899, 519, 1184, 568, 3323, 267, 621, 786, 581, 8737, 1510, 1022, 954, 8306, 563, 2005, 568, 3622, 1317, 267, 538, 6348, 268, 2776, 3319, 633, 2480, 1117, 30389, 267, 621, 1281, 711, 723, 519, 1599, 547, 14443, 519, 5106, 538, 1063, 267, 1813, 547, 799, 621, 814, 547, 7227, 2899, 519, 1101, 5106, 568, 8737, 563, 5472, 1919, 2808, 267, 621, 6585, 909, 11489, 519, 4783, 26088, 922, 5106, 267, 543, 1287, 2899, 621, 568, 936, 267, 621, 786, 581, 11843, 547, 519, 824, 5106, 563, 763, 1152, 4640, 602, 666, 581, 8246, 585, 1114, 8800, 5933, 269, 2334, 568, 593, 519, 12406, 602, 621, 2115, 1808, 3937, 899, 13390, 1081, 776, 2480, 1117, 30389, 563, 1103, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 267, 972, 568, 1100, 971, 5690, 585, 15175, 16841, 5106, 1813, 547, 799, 17765, 814, 547, 7227, 2394, 519, 1985, 5106, 568, 11843, 563, 2026, 621, 3112, 581, 29169, 267, 4061, 799, 2306, 519, 6348, 1790, 516, 3319, 633, 2480, 1117, 30389, 607, 538, 1922, 2716, 1043, 607, 3379, 547, 2776, 3319, 633, 2480, 1117, 30389, 454, 14611, 20212, 9737, 2776, 3319, 633, 543, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 538, 21952, 7010, 454, 268, 769, 2776, 3319, 633, 2480, 1117, 30389, 267, 519, 1184, 666, 581, 29169, 3362, 267, 1247, 538, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 267, 519, 4783, 799, 568, 2469, 593, 621, 814, 547, 581, 8737, 1101, 547, 1847, 593, 547, 519, 1985, 4783, 563, 268, 769, 2776, 3319, 633, 2480, 1117, 30389, 267, 519, 1184, 814, 606, 16841, 607, 621, 814, 547, 8430, 2789, 4238, 267, 1247, 538, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 267, 972, 568, 4986, 899, 602, 1317, 621, 3085, 1406, 1683, 1022, 1599, 585, 519, 954, 8306, 538, 1063, 519, 1184, 563, 268, 2776, 3319, 633, 2480, 1117, 30389, 568, 8465, 9217, 4318, 1421, 666, 581, 3362, 12012, 264, 538, 2470, 3379, 547, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 267, 799, 568, 711, 563, 268, 769, 2776, 3319, 633, 2480, 1117, 30389, 267, 519, 1184, 799, 814, 519, 2362, 10862, 568, 2016, 1101, 267, 1247, 538, 519, 2013, 540, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 267, 519, 5106, 799, 568, 2469, 593, 814, 547, 581, 8737, 547, 1847, 593, 547, 519, 1985, 835, 563, 268, 2776, 3319, 633, 2480, 1117, 30389, 568, 1942, 15807, 547, 2196, 519, 5106, 596, 991, 547, 2628, 267, 1247, 538, 519, 2013, 540, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 267, 621, 568, 11207, 1942, 6954, 563, 296, 4076, 2322, 865, 1454, 4674, 1603, 713, 5816, 2022, 547, 1683, 1871, 547, 596, 269, 898, 3580, 581, 1360, 5363, 585, 803, 267, 952, 596, 2015, 4687, 621, 593, 1514, 2923, 610, 609, 707, 2828, 11721, 13637, 269, 15562, 2752, 5058, 4959, 2340, 503, 354, 20804, 454, 306, 663, 324, 788, 645, 8518, 926, 6585, 513, 25328, 540, 7177, 538, 23675, 689, 774, 777, 541, 2160, 630, 1220, 277, 1040, 1261, 814, 476, 736, 1296, 540, 1995, 538, 519, 2029, 2361, 269, 1261, 814, 513, 16994, 1719, 538, 1585, 2930, 4610, 267, 1519, 6538, 1949, 267, 2780, 5121, 267, 543, 5752, 269, 1411, 666, 1224, 811, 827, 1864, 593, 1010, 6915, 2985, 269, 0, 1103, 606, 4674, 547, 2327, 8471, 3782, 1569, 543, 13468, 519, 11411, 540, 2564, 9276, 593, 20019, 27797, 2043, 267, 519, 6554, 540, 3127, 5189, 519, 623, 2784, 7315, 31615, 686, 3967, 589, 549, 4445, 320, 962, 19390, 3570, 630, 15014, 297, 17751, 264, 10325, 269, 5487, 684, 3481, 538, 5181, 476, 1001, 279, 267, 6751, 297, 17751, 6663, 547, 1683, 1863, 2126, 547, 6634, 540, 14718, 18689, 25808, 2066, 519, 2197, 269, 901, 2376, 2488, 513, 5618, 855, 2143, 7778, 540, 519, 6751, 297, 17751, 10325, 267, 922, 6859, 267, 543, 875, 621, 2640, 2043, 538, 991, 540, 2564, 1416, 563, 1432, 568, 6751, 297, 17751, 888, 763, 623, 2784, 7315, 31615, 686, 3967, 589, 549, 4445, 320, 962, 19390, 3570, 630, 15014, 297, 17751, 1070, 849, 1634, 607, 15718, 2313, 2006, 32038, 520, 610, 519, 2817, 2657, 10466, 30868, 267, 568, 513, 17514, 1222, 3782, 11036, 540, 519, 4095, 2229, 269, 634, 10325, 11394, 547, 1683, 2883, 4027, 547, 936, 476, 2004, 5186, 516, 2043, 543, 741, 3885, 267, 4180, 1569, 547, 2298, 3782, 2533, 1510, 1651, 584, 2590, 1022, 856, 6361, 1790, 12714, 9276, 563, 11917, 16633, 540, 6751, 297, 17751, 912, 763, 6751, 297, 17751, 10325, 814, 1896, 1883, 6859, 912, 320, 269, 17629, 16195, 7457, 281, 6751, 297, 17751, 6663, 547, 1683, 1569, 547, 3782, 2533, 585, 782, 4961, 267, 28000, 540, 741, 14227, 4567, 610, 4087, 563, 321, 269, 11038, 10466, 281, 634, 10325, 6663, 547, 2149, 7925, 3885, 689, 21472, 3782, 24723, 676, 3246, 1863, 2126, 585, 513, 2647, 2039, 540, 2564, 2175, 563, 322, 269, 25085, 532, 6468, 281, 6751, 297, 17751, 11363, 519, 10014, 540, 2021, 267, 4180, 789, 4309, 3160, 1569, 547, 3782, 2533, 563, 323, 269, 10312, 593, 10866, 281, 634, 10325, 6212, 593, 7393, 519, 2298, 540, 3782, 2533, 9447, 547, 18689, 25808, 998, 3227, 534, 601, 539, 1857, 543, 4357, 10506, 563, 2414, 1992, 540, 519, 2640, 896, 519, 6751, 297, 17751, 10325, 267, 2043, 1590, 11886, 519, 1739, 7355, 912, 320, 269, 17502, 1470, 11296, 21073, 281, 634, 10325, 5097, 9072, 2043, 10362, 547, 17215, 21260, 6810, 543, 7925, 8739, 20300, 2516, 563, 321, 269, 22384, 281, 5484, 1030, 545, 25808, 616, 4857, 998, 519, 17502, 1470, 7232, 5677, 595, 4292, 17227, 630, 306, 4488, 290, 264, 476, 1001, 272, 1239, 267, 4180, 602, 1346, 538, 991, 4309, 519, 2556, 1489, 563, 290, 1478, 720, 543, 11588, 912, 15152, 519, 6751, 297, 17751, 10325, 267, 14718, 18689, 25808, 616, 13886, 547, 513, 2039, 540, 2640, 267, 1519, 912, 320, 269, 769, 18345, 11233, 1436, 281, 634, 10325, 6227, 519, 1942, 540, 30674, 267, 1519, 4055, 10997, 267, 2564, 5773, 267, 26129, 267, 543, 6646, 563, 321, 269, 2776, 268, 543, 5403, 6953, 2214, 1388, 1436, 5890, 5151, 281, 6751, 297, 17751, 849, 6227, 9276, 30309, 1282, 519, 476, 1428, 2395, 1991, 547, 6413, 16075, 543, 476, 1428, 2395, 1310, 11166, 563, 322, 269, 4303, 3249, 30332, 281, 15742, 9138, 5773, 602, 798, 711, 2154, 16074, 6413, 13978, 616, 4988, 896, 519, 10325, 563, 323, 269, 22418, 1652, 3690, 13905, 281, 6751, 297, 17751, 3792, 1206, 513, 6666, 1652, 2126, 1935, 267, 7175, 18689, 25808, 547, 1992, 2933, 540, 2126, 1510, 1022, 909, 12506, 11033, 693, 3227, 534, 601, 539, 10506, 563, 15014, 297, 17751, 814, 513, 3060, 540, 3227, 534, 601, 539, 1857, 543, 4357, 10506, 2066, 3127, 269, 5484, 1030, 545, 25808, 666, 3442, 689, 891, 3227, 534, 601, 539, 10506, 1759, 593, 741, 13283, 543, 16133, 269, 1452, 10506, 616, 2838, 547, 2743, 519, 2556, 2298, 4441, 543, 1683, 2126, 1863, 540, 1942, 547, 14718, 18689, 25808, 563, 1692, 547, 2997, 841, 519, 11588, 912, 2414, 1992, 540, 519, 2640, 540, 6751, 297, 17751, 267, 18689, 25808, 666, 1246, 891, 3268, 912, 320, 269, 22384, 281, 6744, 952, 596, 616, 14718, 585, 6751, 297, 17751, 1759, 593, 519, 22444, 290, 476, 1001, 272, 1239, 610, 3914, 856, 547, 519, 14282, 6751, 297, 17751, 737, 3930, 330, 610, 5871, 6796, 4741, 630, 5425, 290, 264, 585, 6351, 563, 321, 269, 7638, 2305, 281, 5192, 707, 25046, 20240, 543, 4309, 519, 2556, 6751, 297, 17751, 552, 2275, 731, 267, 799, 3568, 707, 2189, 8446, 3877, 563, 322, 269, 11233, 16731, 281, 7994, 606, 3227, 534, 601, 539, 6413, 540, 707, 13283, 543, 1459, 707, 6751, 297, 17751, 552, 2275, 731, 693, 519, 6413, 779, 14261, 11380, 1282, 16075, 563, 323, 269, 9615, 281, 25547, 633, 519, 2838, 2126, 1510, 1022, 8569, 693, 519, 3227, 534, 601, 539, 6413, 563, 763, 623, 2784, 7315, 31615, 686, 3967, 589, 549, 4445, 320, 962, 19390, 3570, 630, 15014, 297, 17751, 264, 10325, 814, 7153, 607, 513, 1713, 1900, 2509, 4180, 10097, 543, 3015, 3782, 585, 782, 538, 3127, 269, 1635, 3246, 1863, 2126, 543, 2883, 4027, 267, 6751, 297, 17751, 568, 1818, 513, 2318, 1764, 593, 519, 2729, 540, 6634, 540, 18689, 25808, 267, 3226, 1346, 689, 17215, 7925, 10080, 269, 2060, 519, 6751, 297, 17751, 10325, 538, 1747, 267, 2043, 543, 3885, 666, 1631, 1992, 2933, 540, 2298, 3782, 2533, 1510, 519, 4250, 540, 608, 528, 4226, 656, 2564, 9276, 563, 8855, 267, 1072, 568, 938, 6574, 5763, 267, 543, 6751, 297, 17751, 568, 2324, 2509, 17420, 621, 585, 782, 4961, 540, 3127, 563, 11514, 25068, 281, 634, 1344, 3177, 538, 713, 2376, 568, 585, 3872, 5301, 1152, 543, 1058, 711, 581, 2808, 607, 3318, 5796, 269, 7490, 5077, 609, 4143, 8128, 610, 3782, 4648, 585, 4977, 543, 909, 3562, 15082, 1344, 593, 519, 6751, 297, 17751, 10325, 563, 272, 2219, 593, 968, 15014, 297, 17751, 30868, 281, 589, 18043, 11137, 540, 5131, 9615, 585, 2353, 892, 0, 10527, 16618, 1686, 540, 12866, 667, 1442, 543, 4516, 7345, 7536, 2005, 568, 2182, 547, 4952, 12866, 667, 1442, 543, 519, 4478, 1016, 31755, 540, 519, 4975, 540, 4516, 7345, 607, 4376, 855, 4207, 543, 14421, 641, 13457, 269, 645, 2940, 987, 519, 21743, 267, 22058, 730, 7252, 267, 22538, 2946, 17446, 543, 29667 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 299, 545, 10234, 538, 9235, 267, 23718, 14560, 21409, 543, 12423, 1007, 4025, 267, 4529, 543, 1004, 282, 543, 540, 1576, 267, 835, 540, 1200, 19463, 4025, 547, 2972, 513, 1434, 9702, 568, 11894, 267, 1141, 1352, 1256, 5249, 607, 513, 4663, 3391, 269, 1703, 616, 1906, 4025, 538, 26277, 16288, 602, 1352, 18387, 1406, 10272, 2507, 865, 1352, 568, 519, 835, 945, 1443, 2478, 519, 1964, 540, 721, 950, 649, 2951, 269, 0, 5415, 982, 476, 4510, 274, 267, 31239, 1453, 538, 3345, 10491, 616, 1426, 538, 31261, 630, 293, 29623, 3013, 1916, 763, 3345, 10491, 1426, 22584, 2557, 568, 476, 1428, 269, 280, 260, 543, 519, 1126, 1426, 22584, 2557, 568, 476, 2190, 269, 277, 260, 630, 15933, 1744, 583, 1479, 1916, 763, 4013, 6710, 1899, 585, 513, 1920, 540, 2185, 568, 1175, 936, 1269, 273, 267, 4968, 829, 3923, 269, 2334, 779, 10199, 2614, 547, 2628, 585, 1152, 8027, 543, 1126, 3249, 267, 6028, 4986, 585, 6283, 267, 1426, 267, 1072, 1416, 267, 9204, 267, 610, 7963, 11033, 269, 769, 1228, 12930, 13848, 3196, 3885, 547, 3442, 1063, 10519, 543, 1426, 267, 1063, 9660, 543, 3154, 267, 1063, 1126, 1416, 543, 1072, 1416, 267, 543, 824, 22266, 4123, 32187, 602, 24183, 741, 2702, 547, 8853, 269, 630, 10998, 20907, 1299, 12525, 4741, 779, 12389, 20677, 9208, 994, 1432, 12017, 518, 6496, 547, 5753, 454, 7021, 476, 1626, 2929, 1453, 538, 3013, 616, 10010, 609, 14000, 269, 4634, 835, 14406, 7594, 666, 2800, 513, 1126, 779, 1646, 269, 8437, 1934, 547, 4585, 513, 3381, 689, 519, 3220, 269, 23520, 1397, 593, 14000, 538, 1453, 563, 21609, 1426, 22584, 814, 849, 1044, 2404, 609, 26447, 14524, 267, 17867, 11605, 543, 4057, 4081, 2773, 269, 12017, 787, 1453, 616, 811, 2693, 547, 6560, 538, 1153, 267, 10956, 513, 3446, 267, 4309, 2027, 2069, 2533, 610, 2154, 2790, 1072, 13508, 269, 19974, 4965, 267, 4160, 267, 29338, 267, 14699, 267, 543, 29047, 1361, 566, 723, 782, 1044, 5532, 547, 1426, 22584, 269, 3502, 2348, 2614, 547, 3548, 568, 513, 2707, 540, 17847, 269, 1937, 787, 610, 10462, 827, 1426, 27499, 2790, 1648, 543, 8309, 547, 519, 6757, 1786, 342, 540, 2566, 535, 558, 5034, 676, 6710, 269, 630, 10998, 24770, 3194, 8750, 994, 21609, 3125, 14000, 1185, 3376, 2039, 2942, 2360, 593, 513, 1126, 779, 1072, 267, 17133, 267, 19174, 267, 7553, 543, 1514, 1134, 5630, 269, 8437, 1934, 547, 1294, 519, 1249, 6656, 689, 3143, 17718, 12017, 787, 270, 18704, 938, 23848, 563, 15933, 538, 31261, 1453, 949, 581, 693, 3152, 1981, 540, 1854, 3599, 543, 1153, 512, 731, 1465, 269, 1879, 789, 616, 538, 1153, 267, 1453, 945, 616, 1426, 538, 31261, 949, 2833, 4679, 538, 606, 5044, 540, 2623, 2042, 1519, 281, 8165, 267, 30759, 267, 14699, 267, 4160, 267, 7099, 23638, 267, 543, 11648, 630, 293, 29623, 3013, 1916, 2414, 1451, 811, 827, 6689, 14000, 267, 5225, 979, 547, 281, 0, 7628, 4411, 4365, 267, 519, 1560, 781, 7378, 4187, 4679, 267, 3170, 7213, 12885, 711, 1152, 896, 519, 2960, 267, 855, 849, 1472, 4835, 8219, 267, 538, 519, 2281, 540, 519, 18558, 543, 6797, 269, 1284, 2744, 3063, 6550, 538, 5162, 1813, 547, 513, 1447, 3742, 6197, 267, 607, 1134, 607, 519, 7287, 547, 3548, 811, 9761, 3536, 269, 12594, 626, 744, 802, 3570, 4787, 1388, 1231, 10798, 320, 5143, 1018, 6484, 1058, 581, 899, 713, 4005, 538, 1931, 711, 547, 2744, 2597, 563, 4002, 1200, 9365, 2985, 267, 4787, 1388, 1231, 10798, 320, 5143, 1018, 649, 666, 798, 585, 938, 1072, 543, 547, 2226, 938, 4137, 538, 5162, 269, 3689, 540, 782, 267, 519, 6484, 626, 1443, 2478, 1519, 811, 6775, 538, 707, 2732, 1107, 17436, 267, 22481, 267, 581, 1115, 267, 30383, 3694, 269, 769, 1840, 267, 621, 568, 4502, 7110, 532, 519, 2732, 609, 2472, 602, 2270, 8324, 595, 543, 667, 267, 607, 1134, 607, 3165, 3282, 267, 28279, 715, 8042, 563, 6097, 547, 519, 4274, 267, 25496, 3536, 1107, 865, 8898, 13212, 267, 10487, 17064, 571, 583, 1107, 786, 948, 2226, 3339, 10307, 543, 31480, 267, 25496, 5144, 2472, 267, 14043, 737, 341, 817, 563, 763, 6484, 626, 7074, 602, 4568, 25815, 1524, 10307, 269, 898, 568, 1271, 547, 4235, 2614, 3636, 1216, 2429, 519, 1554, 585, 519, 2500, 8647, 540, 23020, 3157, 538, 2281, 563, 20597, 8558, 10798, 320, 15091, 602, 538, 5162, 621, 568, 1271, 547, 1205, 513, 1434, 1964, 693, 3781, 267, 2094, 3668, 540, 3207, 4679, 7378, 4187, 269, 1280, 713, 2601, 267, 1082, 1004, 2253, 547, 13498, 4006, 607, 952, 789, 723, 3987, 563, 763, 4274, 24016, 711, 547, 7340, 827, 2168, 2534, 267, 799, 24506, 7378, 4187, 543, 2337, 1426, 711, 2490, 883, 3170, 563, 7093, 16227, 267, 513, 6484, 626, 5143, 803, 2436, 621, 568, 2009, 547, 3548, 521, 25775, 1247, 9561, 2597, 269, 0, 2108, 2791, 3657, 1548, 1411, 16202, 27535, 4208, 901, 568, 2290, 590, 11691, 1411, 9701, 6875, 5395, 13124, 454, 2171, 616, 711, 8806, 2168, 4703, 269, 1548, 649, 6430, 547, 798, 1169, 1554, 1765, 31347, 649, 3442, 547, 4105, 1125, 938, 20339, 998, 1148, 267, 20801, 998, 938, 11436, 267, 1666, 330, 538, 938, 6068, 3283, 685, 4527, 267, 610, 3251, 1225, 1194, 909, 538, 1151, 3363, 12544, 977, 338, 711, 1152, 938, 1560, 855, 849, 938, 1648, 543, 8788, 269, 3502, 15645, 908, 1018, 649, 798, 593, 513, 3232, 4493, 27137, 607, 2324, 811, 982, 16889, 1765, 4754, 3362, 2014, 606, 19261, 602, 7161, 707, 4155, 547, 2168, 543, 5289, 8788, 563, 1607, 7954, 849, 2882, 1018, 649, 6430, 547, 3548, 269, 5253, 568, 519, 1883, 547, 30196, 513, 3152, 4656, 540, 6000, 543, 875, 649, 666, 1732, 2844, 938, 11455, 1072, 269, 769, 824, 1913, 281, 596, 5963, 616, 1018, 596, 3548, 269, 3371, 779, 811, 593, 519, 2956, 540, 2921, 713, 6031, 12517, 11652, 875, 547, 1376, 3257, 865, 585, 3054, 563, 3963, 596, 616, 1018, 596, 3548, 281, 875, 1426, 5540, 707, 1134, 5630, 454, 763, 2956, 540, 1426, 568, 711, 1007, 1702, 269, 3509, 4529, 723, 1044, 14120, 519, 957, 540, 4189, 585, 5553, 267, 689, 519, 7111, 4892, 685, 5289, 18428, 585, 13687, 547, 519, 9099, 2259, 540, 594, 1111, 541, 1765, 3602, 12356, 2736, 741, 30782, 3728, 676, 4189, 1614, 7389, 269, 1717, 267, 971, 1702, 568, 1419, 4503, 950, 835, 8483, 1115, 519, 9322, 1063, 1560, 543, 9997, 269, 898, 2337, 547, 7618, 3054, 540, 602, 4276, 269, 1635, 9878, 3007, 547, 707, 14000, 543, 875, 596, 14183, 621, 267, 596, 666, 12260, 1271, 3344, 540, 3054, 269, 3776, 26351, 2995, 721, 1018, 649, 991, 547, 16138, 880, 6000, 9308, 11652, 267, 538, 2490, 267, 32375, 269, 2659, 1426, 5079, 723, 10096, 563, 2691, 519, 6855, 3459, 267, 585, 1383, 267, 30644, 4313, 3536, 2968, 5051, 2442, 1813, 547, 741, 2702, 547, 1683, 3929, 8323, 1282, 971, 7334, 2053, 269, 14856, 1978, 3536, 666, 849, 2087, 2790, 1072, 543, 3929, 6617, 269, 769, 1249, 267, 519, 476, 1708, 271, 3332, 2689, 968, 8469, 10882, 10791, 543, 922, 11588, 593, 2657, 543, 10076, 2657, 892, 9060, 602, 20170, 547, 513, 11335, 2732, 1765, 4621, 12371, 540, 2898, 3766, 1778, 1426, 267, 16872, 267, 543, 10808, 1765, 4754, 2539, 707, 1981, 540, 3384, 4160, 543, 4965, 269, 1411, 723, 519, 4316, 547, 2263, 875, 1426, 5540, 707, 2898, 1582, 543, 3548, 9935, 269, 3371, 779, 875, 596, 666, 2253, 563, 1692, 547, 3548, 585, 4824, 1648, 543, 8788, 454, 289, 2590, 3666, 547, 707, 6676, 454, 7312, 1560, 543, 782, 922, 3334, 3747, 29454, 267, 543, 602, 7569, 3666, 269, 16202, 689, 782, 1426, 2516, 281, 5388, 543, 5613, 267, 3940, 267, 2898, 9274, 267, 2635, 11041, 267, 543, 1216, 269, 18227, 713, 11466, 2337, 596, 2844, 707, 1560, 543, 2247, 269, 898, 666, 1256, 2953, 2250, 20817, 267, 899, 2597, 2744, 934, 29471, 689, 14432, 4189, 6208, 269, 769, 1249, 267, 519, 1034, 4264, 2597, 2530, 3292, 695, 684, 535, 611, 11326, 899, 10433, 18274, 525, 543, 23097, 648, 11326, 267, 799, 3895, 9422, 22975, 998, 519, 12604, 2331, 4616, 540, 930, 1426, 2516, 543, 711, 1866, 269, 5502, 267, 891, 3292, 4363, 6947, 547, 707, 1560, 543, 4758, 621, 1018, 621, 2115, 269, 16202, 689, 1585, 1426, 2516, 269, 2311, 519, 1482, 942, 267, 6432, 547, 707, 2295, 543, 32696, 538, 707, 5172, 3536, 1169, 1631, 543, 1287, 269, 5457, 602, 972, 568, 1100, 971, 3364, 607, 968, 16591, 892, 610, 968, 21112, 892, 3536, 1765, 21671, 968, 333, 8130, 1190, 892, 543, 968, 1652, 14312, 3034, 306, 2948, 6980, 609, 707, 6068, 3283, 454, 1692, 1419, 723, 596, 15534, 332, 14800, 569, 561, 684, 3481, 1247, 8384, 513, 28923, 1397, 286, 12344, 596, 616, 538, 519, 2259, 540, 2324, 1247, 596, 3548, 269, 901, 568, 1572, 2247, 1652, 4189, 11652, 621, 779, 9244, 5532, 547, 1312, 4160, 543, 2597, 2744, 269, 1879, 596, 3548, 899, 713, 267, 596, 616, 711, 5265, 26621, 707, 1426, 610, 3054, 269, 10395, 520, 713, 676, 8026, 13533, 4189, 269, 10925, 2476, 782, 19240, 543, 1445, 707, 12823, 593, 519, 7594, 538, 4395, 540, 596, 267, 1519, 922, 24462, 267, 18282, 267, 543, 16919, 269, 5457, 602, 707, 1560, 14598, 13499, 585, 713, 1426, 543, 602, 2901, 596, 610, 513, 6068, 835, 24617, 22876, 3293, 621, 607, 606, 957, 540, 1416, 269, 19457, 513, 7594, 609, 1920, 543, 2828, 666, 849, 3986, 519, 4189, 1995, 269, 17949, 532, 1426, 607, 513, 2146, 568, 606, 2085, 6040, 1480, 2245, 602, 2636, 596, 547, 5660, 707, 1426, 543, 1346, 1472, 596, 563, 15933, 568, 1898, 585, 782, 519, 1114, 2694, 540, 596, 269, 1411, 616, 1018, 596, 3548, 269, 23496, 602, 707, 6980, 616, 27357, 267, 2635, 267, 543, 28025, 5260, 1819, 2636, 596, 547, 8956, 3054, 538, 2490, 269, 1284, 4126, 713, 2376, 814, 1044, 3730, 543, 786, 948, 596, 563, 7312, 595, 5746, 23140, 4456, 0, 3849, 2194, 532, 547, 519, 21744, 14464, 11106, 538, 18815, 454, 763, 6283, 2872, 568, 835, 540, 519, 1034, 6385, 4657, 6080, 538, 519, 1158, 269, 1306, 2029, 5170, 547, 11457, 267, 865, 1932, 1281, 519, 1259, 649, 2951, 269, 14464, 4987, 630, 9590, 264, 568, 4730, 606, 5051, 1271, 1909, 538, 519, 6283, 2872, 267, 543, 3549, 1590, 3082, 547, 519, 2242, 952, 789, 1616, 547, 2611, 8013, 269, 769, 713, 5816, 2022, 267, 649, 3580, 1491, 513, 1413, 693, 875, 3642, 568, 4657, 519, 6283, 2872, 543, 1018, 3549, 666, 798, 547, 3251, 6619, 540, 519, 7455, 563, 763, 19663, 10020, 540, 3642, 538, 18815, 454, 9590, 568, 4730, 606, 5051, 1271, 1909, 538, 519, 6283, 2872, 267, 609, 3156, 8151, 689, 14628, 6472, 547, 16762, 12642, 269, 32534, 6472, 616, 6472, 602, 616, 5827, 540, 10188, 741, 1604, 1510, 519, 991, 585, 513, 1480, 9920, 269, 901, 2029, 568, 1373, 2919, 676, 3549, 899, 772, 828, 267, 10158, 15879, 267, 543, 23592, 267, 543, 568, 4397, 547, 22499, 519, 1259, 649, 2951, 269, 21023, 633, 12642, 568, 1776, 3498, 540, 3642, 538, 519, 6283, 2872, 269, 901, 2029, 666, 581, 1031, 547, 3589, 6075, 2623, 543, 11126, 11507, 543, 16131, 269, 3642, 666, 849, 581, 1031, 547, 3713, 543, 2061, 12611, 267, 2087, 3106, 267, 543, 2569, 6808, 20316, 563, 763, 11588, 540, 3642, 538, 18815, 454, 763, 946, 540, 3642, 538, 519, 6283, 2872, 6770, 1082, 2640, 269, 32534, 6472, 723, 519, 1761, 547, 2569, 10913, 543, 28896, 267, 607, 1134, 607, 2569, 6808, 20316, 269, 21023, 633, 12642, 666, 948, 3549, 11126, 11507, 543, 16131, 267, 7551, 4227, 3790, 543, 5355, 6075, 9547, 269, 3642, 666, 849, 581, 1031, 547, 3713, 543, 2061, 12611, 267, 5355, 3106, 543, 3354, 585, 15915, 543, 12427, 7567, 269, 7053, 267, 3642, 666, 581, 1031, 547, 2087, 519, 2949, 6075, 1995, 267, 609, 3156, 971, 607, 10531, 7840, 543, 1483, 6066, 10311, 563, 1692, 14992, 2052, 11154, 547, 3642, 538, 18815, 454, 1103, 1931, 547, 2611, 8013, 267, 3549, 1590, 3082, 547, 519, 4657, 5251, 540, 3642, 538, 6283, 269, 901, 1797, 10115, 538, 3642, 14617, 4066, 971, 607, 14628, 6472, 267, 16762, 12642, 267, 543, 12611, 7020, 269, 14992, 1058, 849, 1902, 538, 2866, 741, 5520, 593, 519, 946, 540, 891, 4066, 267, 607, 1134, 607, 3384, 2994, 547, 31194, 593, 519, 3255, 4843, 676, 3642, 269, 7053, 267, 3549, 1058, 1445, 593, 2870, 513, 6075 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 634, 8798, 540, 713, 14262, 3301, 814, 513, 4241, 1686, 609, 1896, 9670, 5013, 269, 769, 713, 2376, 267, 649, 786, 10625, 5722, 10578, 5013, 827, 519, 8798, 540, 3859, 1648, 3301, 602, 786, 15052, 707, 1620, 540, 922, 4720, 543, 1764, 563, 268, 7216, 4886, 538, 519, 476, 1960, 271, 338, 281, 2552, 9009, 547, 2442, 3661, 267, 519, 1646, 540, 3859, 1648, 3301, 3459, 607, 2038, 607, 519, 476, 1960, 271, 338, 269, 12824, 543, 3301, 8030, 6444, 519, 1761, 585, 2780, 13502, 547, 5351, 538, 3859, 1062, 1374, 543, 11938, 269, 4014, 519, 2029, 729, 5266, 18642, 3379, 547, 2221, 779, 4359, 3301, 3435, 267, 621, 9788, 519, 5748, 585, 519, 1646, 540, 811, 10427, 2645, 563, 268, 16949, 540, 22127, 6176, 7010, 630, 31043, 2567, 2290, 540, 519, 1713, 23484, 538, 3859, 1648, 3301, 729, 519, 5610, 540, 22127, 6176, 7010, 630, 31043, 1040, 1635, 6220, 22944, 2029, 267, 9367, 941, 2111, 547, 20272, 10923, 1239, 267, 3859, 5982, 2157, 267, 543, 27864, 2079, 811, 8308, 269, 901, 5610, 5129, 513, 2629, 1909, 538, 5688, 2358, 519, 17568, 543, 1374, 540, 3859, 19698, 585, 5021, 1648, 5108, 563, 268, 22685, 5406, 540, 10724, 4804, 543, 14464, 11106, 281, 1306, 3859, 1648, 3301, 7960, 267, 9367, 3459, 16107, 3684, 1565, 543, 5841, 4987, 630, 9590, 264, 6620, 547, 3986, 922, 7207, 269, 1452, 4066, 13087, 519, 3301, 547, 1451, 689, 3140, 1239, 267, 3589, 3859, 3977, 267, 543, 5688, 1047, 1062, 2773, 269, 10724, 1565, 543, 3642, 6620, 3136, 547, 1404, 513, 4105, 1909, 538, 5355, 519, 4398, 543, 6111, 540, 3859, 1648, 3301, 563, 268, 22547, 540, 13192, 15369, 10298, 281, 634, 8798, 540, 6531, 7384, 4547, 513, 1007, 10155, 547, 3859, 1648, 3301, 269, 13192, 2861, 3435, 4847, 585, 6552, 1569, 267, 1239, 4859, 267, 543, 5698, 2066, 6887, 543, 6753, 269, 901, 6521, 17515, 519, 991, 585, 593, 1790, 8145, 2478, 13763, 267, 4227, 3790, 543, 5355, 10333, 585, 4213, 540, 782, 7306, 563, 268, 23207, 10312, 593, 7464, 6874, 830, 16424, 281, 21992, 906, 538, 2029, 19658, 1483, 6066, 5464, 7207, 1369, 3859, 1648, 3301, 269, 901, 4183, 6087, 4213, 547, 6895, 1062, 2773, 267, 3950, 1648, 2504, 267, 543, 2697, 1022, 2152, 14678, 269, 7464, 6066, 5464, 16877, 3859, 4648, 547, 1118, 14942, 3664, 267, 5688, 1047, 1648, 5108, 267, 543, 16425, 2232, 1022, 5826, 610, 4398, 4145, 563, 268, 28841, 883, 6052, 5004, 7010, 281, 634, 8798, 540, 3859, 1648, 3301, 21490, 519, 1259, 585, 922, 5610, 883, 6626, 1648, 2359, 1949, 269, 901, 7269, 4847, 4213, 547, 9192, 3859, 1648, 1239, 609, 1648, 4616, 1239, 267, 7175, 3102, 1648, 2359, 543, 11938, 269, 634, 3301, 779, 2702, 547, 11753, 609, 824, 7791, 1648, 2959, 543, 4859, 1949, 2417, 8309, 547, 922, 17545, 543, 7145, 269, 0, 17138, 281, 1215, 1677, 13760, 543, 13782, 622, 3127, 779, 14216, 29719, 16572, 454, 19328, 779, 12045, 4031, 616, 513, 1305, 540, 6042, 602, 1827, 519, 9467, 543, 2359, 540, 2883, 7405, 267, 971, 607, 20304, 543, 3681, 269, 4197, 891, 4031, 568, 2629, 585, 4896, 3238, 538, 519, 4095, 16755, 2344, 269, 901, 1900, 8386, 9912, 3391, 786, 948, 596, 6330, 998, 519, 1950, 5773, 4478, 3127, 779, 14216, 29719, 16572, 563, 3721, 2290, 281, 13760, 519, 17943, 540, 14216, 643, 2510, 454, 6524, 11362, 883, 519, 14960, 540, 12045, 4031, 267, 621, 568, 1271, 547, 917, 1018, 16755, 616, 269, 1358, 3277, 547, 11731, 4171, 1871, 568, 2048, 21710, 685, 689, 606, 5817, 10697, 269, 634, 1034, 1455, 3029, 540, 16755, 616, 20304, 543, 3681, 563, 3721, 5565, 281, 25800, 23126, 609, 519, 27943, 645, 3672, 454, 1103, 3127, 267, 519, 1883, 9431, 4703, 585, 12045, 9467, 616, 519, 1530, 15247, 543, 16510, 8274, 540, 3127, 630, 10345, 10292, 264, 543, 519, 9757, 14351, 1401, 577, 5190, 269, 10323, 10292, 1106, 12885, 4507, 543, 21560, 12045, 6990, 267, 1247, 1401, 577, 5190, 1683, 519, 3760, 585, 9467, 563, 3721, 8422, 281, 6258, 6168, 519, 4095, 14216, 29719, 10369, 454, 308, 2955, 519, 2497, 540, 519, 4095, 12045, 2344, 269, 898, 2882, 519, 9698, 16755, 2344, 267, 9304, 16755, 2344, 267, 543, 20161, 16755, 2344, 269, 3962, 2344, 5205, 922, 1378, 1305, 540, 3652, 563, 3721, 9050, 281, 5530, 519, 1530, 15247, 20260, 338, 630, 8802, 1637, 264, 2920, 267, 476, 4198, 277, 454, 1607, 568, 519, 3119, 1876, 12044, 16755, 538, 3127, 269, 898, 11225, 1018, 13054, 2048, 1457, 643, 2510, 685, 543, 5036, 856, 519, 3652, 585, 741, 9467, 563, 3721, 12866, 281, 13760, 20260, 10410, 5874, 454, 9336, 12045, 4579, 814, 922, 1378, 16551, 9788, 856, 676, 10323, 10292, 269, 1452, 1331, 519, 1826, 540, 5817, 10697, 267, 4579, 2450, 267, 1163, 597, 344, 4266, 267, 3092, 269, 25800, 3054, 609, 891, 16551, 1354, 9467, 563, 3721, 14520, 281, 5700, 2659, 7126, 543, 744, 4565, 580, 725, 454, 17843, 2010, 540, 16755, 2097, 609, 1114, 2924, 543, 13800, 585, 18046, 543, 23965, 269, 18897, 5699, 1174, 891, 1354, 10024, 883, 1022, 11731, 563, 3721, 18599, 281, 9457, 519, 16610, 540, 12540, 1456, 454, 10345, 10292, 814, 11311, 3652, 585, 5768, 1456, 538, 12045, 9467, 269, 4197, 875, 5768, 1456, 1568, 568, 2629, 585, 1981, 2359, 563, 3721, 20640, 281, 6258, 6168, 519, 5590, 25557, 6713, 454, 763, 11175, 1184, 568, 1271, 547, 1174, 2094, 621, 9598, 919, 875, 16755, 11731, 616, 6806, 269, 10323, 10292, 2488, 1808, 3652, 3823, 519, 11175, 540, 12045, 11731, 563, 3721, 27607, 281, 13773, 21213, 609, 27943, 15448, 454, 10345, 10292, 21237, 2306, 2242, 547, 519, 12045, 4031, 607, 543, 950, 2838, 269, 4427, 30533, 532, 547, 10323, 10292, 711, 5874, 610, 3377, 24393, 666, 948, 596, 3251, 8242, 609, 519, 5767, 2242, 563, 3721, 14210, 281, 13693, 513, 13751, 16869, 454, 2252, 596, 1265, 891, 4031, 1932, 1950, 547, 1174, 593, 707, 1378, 267, 2015, 17874, 513, 3656, 4274, 21751, 538, 2883, 4031, 563, 8855, 267, 1620, 543, 10188, 3127, 779, 12045, 4031, 3217, 942, 543, 9639, 269, 1717, 267, 621, 568, 606, 1898, 5578, 585, 4896, 3238, 538, 519, 4095, 16755, 2344, 269, 2060, 30190, 1353, 543, 2259, 267, 596, 666, 1831, 740, 30794, 693, 1620, 543, 10188, 891, 1950, 4031, 269 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4217, 3906, 609, 741, 3039, 2679, 543, 4264, 1374, 3853, 9497, 20059, 618, 13437, 20257, 715, 5746, 8490, 7010, 267, 519, 20736, 560, 9257, 267, 543, 670, 1149, 12013, 1518, 519, 20656, 543, 2773, 540, 519, 3039, 2679, 2872, 538, 2789, 9922, 563, 763, 20736, 560, 9257, 7577, 28483, 1701, 23968, 5622, 256, 16010, 269, 1696, 7205, 3057, 476, 277, 267, 476, 1220, 280, 693, 5291, 2517, 321, 714, 13885, 1695, 5622, 2593, 270, 545, 270, 12553, 270, 12553, 277, 1240, 11258, 454, 20059, 618, 13437, 1701, 670, 2562, 2464, 269, 1696, 7205, 3057, 476, 277, 267, 476, 1220, 280, 693, 5291, 2517, 4178, 19544, 1149, 2593, 30032, 4034, 618, 270, 704, 18504, 269, 5684, 343, 454, 301, 5746, 269, 834, 8702, 547, 715, 5746, 6828, 1701, 1696, 7205, 3057, 476, 277, 267, 476, 1220, 280, 693, 5291, 2517, 4178, 8542, 4290, 335, 2593, 2507, 1496, 5649, 2859, 2639, 4322, 8069, 1590, 2844, 7443, 2406, 543, 6961, 267, 17215, 543, 2845, 12264, 1946, 5499, 834, 13582, 257, 3761, 11800, 616, 1483, 12264, 811, 2500, 982, 519, 4567, 28943, 540, 3140, 27147, 269, 8033, 5224, 2069, 538, 1312, 6101, 543, 13016, 535, 1662, 687, 1590, 581, 2919, 547, 2333, 519, 12117, 540, 519, 27147, 8665, 267, 609, 2543, 547, 834, 13582, 257, 11449, 269, 21744, 1312, 1804, 543, 1507, 3919, 3270, 585, 27147, 666, 5555, 8945, 548, 1524, 547, 1256, 519, 1034, 4608, 2130, 6800, 267, 540, 799, 972, 568, 513, 546, 13388, 1782, 1297, 269, 590, 709, 10623, 267, 2488, 513, 1592, 540, 2825, 2773, 10832, 799, 723, 1831, 5051, 1271, 543, 25992, 2152, 538, 2221, 781, 2504, 2486, 563, 1220, 277, 267, 533, 269, 1428, 264, 13797, 264, 519, 1870, 4128, 585, 834, 13582, 518, 11449, 4840, 2467, 616, 12777, 7366, 540, 4128, 585, 519, 1646, 540, 4264, 1870, 2853, 267, 711, 519, 2547, 540, 799, 568, 4180, 519, 1279, 3856, 6228, 540, 519, 1870, 543, 2504, 2115, 563, 16449, 1346, 602, 616, 1034, 1271, 616, 519, 1739, 912, 306, 20980, 2504, 281, 623, 3420, 2084, 834, 13582, 257, 10597, 4264, 2504, 8796, 1496, 5649, 2859, 2639, 19575, 571, 7043, 31645, 21126, 2622, 6052, 454, 21328, 568, 513, 1360, 1271, 851, 540, 938, 2729, 543, 519, 1158, 602, 649, 2661, 538, 2221, 269, 898, 814, 2141, 1044, 1271, 2094, 519, 942, 602, 519, 3425, 1031, 547, 798, 782, 741, 960, 676, 2933, 547, 519, 2053, 950, 789, 3323, 1210, 2831, 543, 1256, 2221, 950, 649, 1118, 946, 540, 519, 1648, 2959, 1472, 721, 547, 3132, 1648, 971, 607, 5201, 563, 9213, 938, 1292, 2707, 540, 1648, 616, 519, 15455, 10173, 602, 4465, 1405, 2063, 11014, 607, 267, 789, 1491, 6634, 540, 1296, 547, 1106, 543, 1360, 2370, 942, 547, 1205, 1031, 607, 513, 2707, 540, 1648, 269, 2290, 540, 519, 1360, 1271, 4145, 540, 2221, 781, 942, 568, 519, 3432, 609, 799, 649, 616, 10438, 891, 8093, 10173, 543, 875, 621, 786, 581, 1360, 2352, 585, 721, 547, 1832, 909, 609, 519, 2799, 3747, 799, 568, 4397, 547, 5595, 676, 476, 13078, 271, 607, 519, 2551, 568, 4397, 8796, 1496, 5649, 2859, 2639, 2891, 293, 1601, 559, 17540, 1564, 543, 30200, 2437, 562, 6155, 1421, 476, 15876, 4534, 476, 21497, 994, 763, 1764, 540, 2842, 11396, 593, 519, 2067, 5251, 568, 5538, 17331, 269, 901, 568, 1317, 930, 2950, 1589, 602, 519, 8289, 540, 1804, 4610, 568, 21006, 519, 29278, 269, 15845, 540, 713, 666, 581, 2938, 538, 26795, 781, 966, 710, 12881, 269, 1548, 5949, 568, 1082, 7264, 3459, 547, 28586, 891, 5686, 540, 3785, 856, 540, 4145, 827, 875, 713, 786, 1764, 741, 5784, 269, 901, 3366, 547, 1918, 13920, 827, 1141, 547, 1747, 2842, 11396, 269, 1306, 513, 1267, 267, 28288, 8044, 602, 9591, 891, 4610, 538, 1114, 6753, 786, 581, 4101, 269, 901, 568, 950, 519, 1788, 786, 3068, 2799, 17799, 543, 2362, 3790, 269, 9497, 293, 1601, 559, 17540, 1564, 543, 30200, 2437, 562, 6155, 1421, 476, 15876, 4534, 476, 21497, 994, 26794, 540, 6489, 5295, 454, 8601, 519, 6811, 540, 17837, 267, 519, 4641, 568, 602, 519, 946, 540, 2842, 1379, 568, 513, 14323, 4199, 269, 589, 1434, 1383, 540, 713, 666, 581, 2938, 609, 16862, 630, 15367, 7472, 476, 736, 260, 540, 741, 2698, 1648, 8796, 1496, 5649, 2859, 2639, 17471, 1648, 543, 2916, 6859, 723, 8329, 547, 519, 2799, 1646, 543, 946, 540, 7791, 2959, 540, 1648, 602, 1445, 593, 1447, 2287, 519, 1604, 1764, 540, 10451, 1648, 269, 634, 6671, 2959, 540, 1648, 723, 8329, 547, 1713, 2825, 5222, 267, 2523, 2916, 1689, 269, 634, 2825, 5222, 602, 616, 4547, 676, 12998, 540, 8511, 9362, 689, 6671, 1648, 2959, 616, 1439, 836, 1359, 519, 1158, 781, 8134, 543, 1480, 1272, 269, 1306, 513, 1267, 267, 7791, 1648, 2959, 616, 2808, 607, 5078, 8925, 547, 948, 24390, 2825, 5222, 1247, 5870, 1648, 2115, 269, 1703, 616, 1585, 7791, 1648, 2959, 602, 616, 9833, 607, 5078, 8925, 547, 6671, 2959, 1519, 3859, 267, 2842, 267, 543, 3167, 1648, 269, 4634, 1498, 891, 2959, 723, 8766, 2825, 5222, 3379, 547, 6671, 2959, 540, 1648, 267, 789, 616, 711, 1942, 15807, 2943, 563, 23530, 267, 11272, 543, 6489, 6052, 454, 20360, 1648, 814, 1044, 2808, 607, 835, 540, 519, 14949, 1648, 5108, 2409, 7429, 6671, 2959, 540, 1648, 8796, 1496, 5649, 2859, 2639, 763, 2413, 1158, 814, 1044, 6353, 609, 1896, 2825, 2152, 538, 519, 2487, 2250, 1519, 2067, 4199, 22930, 267, 2916, 1689, 267, 5533, 267, 543, 936, 28134, 269, 1717, 267, 2916, 1689, 814, 13631, 1713, 3007, 1317, 540, 2799, 2825, 1764, 540, 22713, 543, 14051, 269, 8693, 1689, 568, 7361, 30289, 547, 519, 1699, 1648, 2959, 267, 799, 3136, 547, 1860, 519, 1604, 269, 1306, 513, 1267, 267, 519, 3406, 585, 513, 5078, 1648, 2707, 609, 2370, 547, 1100, 2825, 1198, 814, 1831, 513, 2101, 3390, 585, 14519, 267, 6608, 267, 543, 2825, 1235, 269, 6736, 6671, 5784, 602, 6046, 1379, 568, 5667, 340, 3386, 267, 2487, 2090, 543, 7194, 723, 2808, 621, 513, 2973, 1648, 2707, 269, 901, 814, 8329, 547, 7440, 543, 4831, 268, 1173, 3701, 593, 2436, 6046, 1648, 568, 2973, 543, 2922, 585, 519, 1604, 269, 6736, 2348, 2370, 547, 1100, 12998, 540, 5906, 9362, 267, 6046, 1648, 568, 5667, 20980, 950, 2808, 689, 606, 2804, 543, 1514, 5133, 563, 763, 8865, 585, 17437, 6052, 454, 1103, 519, 2250, 1906, 8796, 1496, 5649, 2859, 2639, 22897, 30540, 5113, 454, 763, 2278, 540, 713, 3210, 814, 1044, 4280, 547, 2328, 606, 12819, 1557, 602, 7740, 593, 2436, 1480, 2029, 666, 4688, 519, 1158, 950, 621, 2501, 547, 1919, 899, 2916, 1689, 269, 634, 2243, 568, 711, 606, 2653, 835, 547, 2626, 269, 1703, 616, 1346, 602, 2161, 602, 1256, 952, 519, 1239, 1305, 1634, 547, 30768, 568, 711, 2347, 267, 713, 3112, 22321, 721, 711, 547, 957, 1317, 649, 1058, 711, 7227, 2394, 621, 568, 1932, 3735, 269, 1703, 616, 1866, 602, 2303, 602, 519, 4541, 786, 20818, 922, 786, 593, 30768, 1100, 2339, 1018, 3425, 798, 610, 798, 711, 798, 543, 519, 4527, 610, 946, 540, 2029, 786, 711, 1689, 602, 269, 1717, 267, 1034, 1004, 2887, 12341, 538, 519, 1647, 610, 5310, 1256, 3494, 602, 519, 1259, 547, 4688, 519, 4541, 568, 2907, 1634, 543, 1175, 2115, 547, 581, 8045, 269, 554, 850, 621, 4992, 1434, 547, 2303, 602, 3425, 666, 4729, 519, 8796, 1496, 5649, 2859, 2639, 7437, 1382, 593, 519, 4220, 602, 2097, 609, 20879, 543, 5755, 585, 1648, 2371, 267, 972, 666, 581, 8990, 540, 799, 1851, 519, 1079, 568, 1732, 585, 1480, 6940, 563, 16675, 2777, 9362, 454, 25821, 640, 2371, 602, 946, 5755, 585, 5201, 2504, 5305, 1804, 5666, 540, 8511, 9362, 543, 824, 14107, 602, 616, 5739, 547, 519, 1604, 267, 12946, 602, 5755, 568, 14095, 609, 1164, 2157, 540, 30691, 269, 7324, 891, 9362, 568, 16247, 8166, 602, 2164, 538, 3679, 4764, 5250, 543, 3702, 550, 22930, 540, 1604, 543, 1256, 3959, 602, 568, 19535, 547, 16247, 545, 3679, 269, 21193, 4088, 27911, 616, 849, 3812, 543, 1927, 609, 966, 302, 5425, 1267, 547, 1159, 690, 5250, 269, 22358, 568, 849, 3812, 7258, 12539, 8166, 799, 616, 1463, 20334, 547, 2942, 2916, 1689, 630, 12385, 1492, 9749, 267, 476, 1001, 273, 1916, 4002, 519, 824, 1688, 267, 538, 519, 6046, 1379, 2371, 972, 568, 1100, 2504, 540, 9362, 971, 607, 9436, 27911, 267, 16247, 27911, 267, 3327, 8166, 267, 16035, 610, 971, 824, 6757, 9362, 269, 1403, 8796, 1496, 5649, 2859, 2639, 16675, 609, 6176, 5303, 454, 2467, 814, 1044, 513, 7222, 2208, 538, 10124, 538, 1344, 2029, 543, 519, 6284, 602, 3549, 540, 782, 7306, 543, 2010, 1590, 2569, 741, 1764, 593, 741, 1604, 676, 12561, 865, 10777, 3039, 2853, 269, 1280, 2890, 1532, 5350, 525, 609, 1175, 835, 610, 513, 1906, 5520, 267, 713, 949, 1611, 1945, 607, 2241, 607, 9657, 11956, 23691, 543, 1957, 267, 855, 585, 3677, 16904, 267, 2469, 3039, 949, 1611, 519, 5092, 540, 1713, 5666, 540, 2200, 909, 4395, 609, 519, 20772, 602, 519, 2628, 3724, 593, 891, 9541, 786, 581, 26656, 267, 1312, 538, 2474, 540, 1648, 9806, 607, 1134, 607, 998, 606, 4824, 9746, 3239, 269, 1677, 3313, 875, 3549, 666, 4324, 689, 2469, 3039, 2221, 267, 713, 1957, 2488, 513, 2689, 540, 519, 4143, 3332, 547, 1683, 513, 4214, 540, 2469, 3039, 609, 1344, 2029, 267, 606, 2079, 540, 519, 1764, 540, 2469, 3039, 609, 1344, 2029, 593, 519, 1604, 267, 543, 513, 4901, 7282, 519, 5294, 8796, 1496, 5649, 2859, 2639, 16391, 545, 22447, 5682, 16373, 9866, 3569, 543, 5800, 12859, 5811, 454, 8256, 28366, 262, 4690, 538, 11449, 5214, 2472, 1058, 581, 5402, 5701, 676, 12696, 267, 676, 21625, 267, 543, 676, 2344, 619, 602, 1020, 2994, 5497, 547, 2333, 4616, 538, 891, 2127, 269, 17667, 5144, 568, 606, 1271, 2344, 10126, 6353, 676, 513, 6213, 1587, 602, 3340, 12696, 547, 2743, 1164, 4441, 3823, 741, 2504, 1184, 269, 5682, 6725, 2994, 616, 5497, 547, 11168, 1604, 7874, 2853, 267, 543, 711, 547, 13587, 633, 5561, 543, 3765, 548, 611, 873, 883, 3206, 971, 2472, 2232, 1164, 10357, 7888, 4441, 950, 538, 1249, 789, 798, 711, 269, 901, 2079, 6212, 593, 5214, 5144, 543, 593, 2436, 610, 711, 621, 568, 7561, 3039, 30630, 676, 21625, 563, 763, 2079, 540, 2344, 3466, 8761, 5561, 262, 2799, 1719, 538, 11449, 543, 1210, 5214, 2472, 269, 634, 5383, 540, 1418, 923, 7048, 593, 741, 7805, 3310, 593, 2043, 262, 1072, 267, 4352, 513, 1353, 2919, 676, 3703, 3744, 1705, 711, 1265, 1713, 6454, 3812, 676, 8796, 1496, 5649, 2859, 2639, 22025, 1113, 547, 2569, 2146, 4187, 547, 1007, 7835, 630, 16675, 476, 1220, 276, 994, 763, 1761, 547, 4688, 593, 1648, 3790, 568, 540, 1164, 4644, 1813, 547, 519, 4473, 538, 5210, 4810, 676, 519, 5318, 5354, 540, 6671, 22908, 1282, 519, 4832, 12405, 269, 1230, 14846, 32072, 666, 3914, 607, 1164, 607, 476, 5611, 5232, 896, 519, 3905, 4832, 3141, 267, 713, 3123, 834, 322, 944, 532, 543, 5122, 2115, 7914, 13497, 267, 799, 4679, 3790, 543, 1379, 6165, 257, 630, 19465, 267, 476, 1220, 278, 267, 533, 269, 476, 3953, 1916, 9743, 16226, 513, 3039, 10664, 1062, 593, 606, 4540, 2497, 6971, 519, 1942, 547, 3002, 610, 3579, 519, 2679, 269, 901, 568, 1152, 835, 540, 1082, 1463, 2640, 547, 519, 2754, 4433, 264, 610, 2043, 9878, 519, 1648, 3915, 563, 19465, 23508, 281, 15346, 543, 3039, 22908, 630, 1220, 278, 264, 29844, 267, 5292, 269, 476, 6200, 267, 3143, 269, 476, 1015, 267, 6032, 269, 476, 3953, 268, 3451, 454, 4467, 17980, 267, 808, 1421, 630, 1220, 277, 264, 681, 996, 9722, 519, 3039, 8122, 267, 12713, 290, 19564, 267, 5292, 269, 476, 280, 267, 3143, 269, 476, 4343, 267, 6032, 269, 476, 2412, 4534, 476, 6078, 454, 16675, 10162, 1993, 338, 585, 13245, 20079, 630, 1220, 276, 264, 5291, 2517, 4178, 3052, 2240, 549, 1993, 338, 3820, 27651, 21703, 286, 641, 5406, 284, 1260, 318, 20880, 261, 339, 2532, 284, 1613, 261, 573, 284, 2918, 261, 2005, 655, 573, 284, 2412, 267, 15600, 5988, 8796, 1496, 5649, 2859, 2639, 288, 2077, 582, 27318, 3310, 2392, 558, 3990, 1927, 609, 519, 7326, 543, 1565, 540, 824, 3504, 5830, 267, 1247, 519, 5449, 729, 1419, 1031, 607, 513, 5943, 585, 7214, 9840, 799, 11593, 9450, 1312, 6138, 543, 824, 2127, 540, 1702, 630, 294, 7949, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21633, 568, 513, 2783, 538, 799, 11178, 14189, 568, 711, 1818, 2614, 11178, 10399, 269, 898, 849, 1797, 896, 5562, 11178, 563, 2304, 23862, 2060, 14523, 1054, 21633, 454, 32481, 476, 3199, 2600, 540, 30847, 568, 3361, 676, 16991, 2068, 267, 543, 16991, 3676, 616, 811, 1455, 538, 2021, 563, 10454, 2068, 568, 1419, 22420, 267, 543, 519, 2949, 1981, 540, 3384, 30847, 568, 1164, 952, 835, 814, 513, 1920, 1686, 540, 11178, 2068, 2437, 1767, 3220, 3474, 698, 2701, 628, 267, 13636, 6481, 10615, 267, 2806, 321, 2714, 3127, 563, 295, 1662, 574, 9369, 779, 11178, 4345, 3123, 3043, 1973, 2281, 543, 12489, 547, 4323, 519, 11178, 269, 898, 568, 835, 540, 519, 3123, 540, 30847, 563, 306, 17790, 8851, 540, 11178, 267, 22787, 11178, 989, 523, 8412, 267, 9552, 540, 519, 11178, 676, 14599, 22752, 267, 543, 11955, 899, 993, 1675, 541, 821, 616, 824, 3123, 540, 713, 2783, 563, 763, 4191, 543, 2589, 540, 30847, 4268, 689, 1268, 547, 1268, 269, 570, 1600, 1145, 267, 13165, 267, 2597, 2744, 267, 3819, 2960, 267, 19228, 267, 1928, 538, 10549, 267, 12150, 2295, 2557, 267, 23762, 11178, 14189, 267, 12150, 28689, 267, 4965, 267, 4552, 2530, 267, 20026, 267, 3002, 22166, 267, 1688, 12152, 528, 267, 3586, 4743, 540, 4411, 543, 4617, 6091, 616, 930, 2589, 540, 713, 2783, 563, 2710, 1411, 5620, 14523, 1054, 21633, 888, 1607, 476, 272, 18826, 6709, 714, 786, 948, 596, 2638, 952, 596, 723, 30847, 563, 29797, 1054, 21633, 568, 513, 1360, 1455, 2068, 269, 4935, 267, 621, 568, 711, 16613, 602, 20968, 8557, 2550, 723, 606, 2404, 630, 344, 564, 796, 30009, 264, 2783, 602, 666, 849, 3565, 547, 519, 2589, 269, 1452, 666, 1331, 17350, 267, 2367, 641, 30167, 6794, 267, 1776, 16991, 2068, 267, 3092, 23102, 21293, 645, 1014, 1723, 267, 11022, 267, 12854, 454, 303, 9007, 550, 30847, 666, 581, 3927, 5701, 267, 1498, 711, 23174, 269, 2290, 1455, 2126, 568, 26550, 18333, 6918, 710, 267, 513, 812, 13402, 4528, 540, 519, 11178, 9449, 16815, 6918, 710, 563, 2252, 711, 5701, 5265, 267, 30847, 666, 7494, 22009, 519, 3461, 779, 2298, 540, 1272, 563, 1103, 1004, 609, 30847, 267, 10649, 666, 948, 12954, 519, 11563, 543, 6175, 2589, 563, 276, 10649, 607, 11446, 630, 5099, 264, 602, 949, 4324, 519, 2783, 616, 912, 268, 29154, 571, 623, 846, 454, 268, 769, 30062, 623, 846, 454, 268, 12551, 623, 846, 454, 268, 6682, 601, 623, 846, 454, 268, 29651, 572, 623, 846, 454, 2005, 568, 711, 2009, 547, 2061, 30847, 269, 15706, 693, 2362, 1981, 540, 11178, 1644, 2042, 267, 899, 2021, 1282, 6379, 267, 1058, 2638, 609, 741, 10629, 827, 519, 991, 585, 3606, 22752, 563, 25147, 21364, 5388, 630, 18034, 689, 519, 1920, 5696, 26226, 19687, 264, 971, 607, 22282, 267, 1490, 639, 17632, 28667, 267, 536, 758, 669, 1195, 267, 25989, 267, 28471, 31884, 543, 2490, 760, 269, 1358, 21391, 519, 19718, 543, 946, 540, 22752, 5265, 563, 306, 1872, 1513, 666, 2333, 5343, 725, 538, 519, 1560, 799, 666, 5555, 3500, 1524, 519, 7503, 540, 570, 275, 547, 2468, 1675, 18333, 1258, 710, 267, 610, 570, 274, 267, 1776, 11178, 9449, 269, 4475, 267, 621, 568, 1655, 547, 2057, 4006, 538, 707, 2732, 563, 29797, 1054, 21633, 1772, 22453, 569, 2776, 1998, 550, 538, 21250, 656, 6468, 454, 268, 14523, 1054, 21633, 568, 6353, 676, 519, 11178, 14189, 711, 6721, 2614, 11178, 10399, 563, 268, 27051, 476, 3199, 2600, 540, 713, 2783, 568, 3361, 676, 16991, 2068, 563, 268, 15310, 8982, 568, 513, 10835, 540, 30847, 563, 268, 901, 2783, 3112, 581, 23174, 563, 268, 898, 568, 711, 2009, 547, 2061, 30847, 563, 6701, 596, 3478, 2614, 22752, 888, 1607, 1543, 568, 4977, 543, 3020, 547, 519, 1655, 540, 519, 2278, 779, 1702, 543, 1281, 711, 12990, 585, 5868, 267, 23567, 267, 2126, 267, 13310, 267, 543, 5924, 8192, 5796, 689, 513, 13931, 1072, 3318, 269, 24391, 267, 9360, 267, 543, 2067, 14319, 949, 723, 5906, 2427, 2360, 269, 1403, 9176, 610, 8808, 267, 5077, 609, 513, 11727, 8502, 593, 606, 1367, 4493, 269, 16418, 7525, 948, 952, 596, 616, 7680, 513, 2564, 6595, 563, 15100, 476, 1708, 271, 16444, 330, 13183, 681, 0, 21581, 2626, 281, 4208, 1705, 621, 3315, 4323, 2802, 11340, 807, 538, 476, 4350, 276, 888, 12749, 1655, 4267, 547, 519, 2243, 16938, 1432, 2197, 1705, 621, 3315, 28117, 538, 12354, 3426, 476, 4350, 276, 14872, 454, 288, 8473, 10071, 1063, 18629, 543, 7969, 28950, 559, 663, 602, 5412, 5795, 5484, 17010, 631, 1380, 565, 7236, 606, 28195, 547, 26544, 269, 1234, 915, 532, 782, 32404, 3091, 267, 519, 32228, 2103, 22983, 18629, 593, 5239, 476, 274, 267, 476, 4350, 276, 563, 21581, 2626, 281, 634, 621, 6501, 12289, 540, 705, 903, 7562, 807, 630, 4350, 276, 268, 3607, 264 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8656, 779, 5794, 13871, 18395, 19264, 817, 611, 832, 630, 8150, 288, 264, 4674, 568, 513, 3318, 1646, 1982, 14971, 547, 2087, 3450, 267, 8300, 1053, 267, 543, 1217, 519, 2146, 269, 898, 13976, 2390, 519, 9371, 540, 8331, 779, 3810, 3811, 29332, 4306, 2207, 630, 293, 2775, 19662, 585, 3163, 11819, 2037, 305, 545, 618, 264, 1982, 602, 24363, 7855, 20829, 519, 918, 14241, 704, 5794, 13871, 25076, 630, 25605, 302, 264, 689, 476, 1960, 271, 1107, 476, 1960, 276, 563, 763, 5794, 13871, 18395, 19264, 817, 611, 832, 968, 303, 559, 582, 892, 1982, 585, 19829, 3318, 1646, 6707, 24363, 3670, 3610, 593, 519, 2616, 2218, 1282, 519, 4832, 540, 476, 1001, 272, 267, 8204, 4993, 267, 16855, 267, 12309, 267, 13325, 267, 543, 9098, 630, 29910, 9823, 1040, 16214, 9672, 519, 1982, 779, 2318, 1764, 593, 519, 4116, 5171, 267, 593, 741, 1053, 267, 543, 538, 741, 2950, 269, 11334, 711, 1152, 11368, 1543, 1702, 543, 1808, 3334, 540, 741, 1995, 883, 741, 21195, 267, 789, 849, 723, 849, 2016, 19421, 540, 14245, 543, 8045, 4116, 3318, 1646, 11925, 269, 4256, 3646, 547, 4266, 723, 12936, 7366, 540, 1053, 543, 3610, 563, 12569, 293, 8656, 779, 589, 8150, 1982, 1631, 13788, 922, 18888, 476, 272, 5123, 281, 476, 1724, 589, 8150, 19829, 6887, 267, 7132, 3124, 919, 267, 941, 5697, 538, 513, 3810, 8013, 3498, 1184, 269, 29120, 7855, 2097, 689, 513, 3099, 540, 10080, 267, 543, 741, 5238, 1331, 513, 1153, 585, 519, 18555, 267, 606, 4244, 2069, 3135, 630, 31141, 958, 13934, 1070, 3810, 9207, 5703, 2875, 5095, 267, 6917, 3506, 267, 543, 513, 7111, 1977, 1153, 3135, 563, 2026, 851, 540, 7041, 543, 2866, 585, 741, 8184, 1995, 267, 589, 8150, 1982, 5171, 786, 2347, 513, 10927, 7400, 18395, 585, 11334, 593, 11060, 1576, 13950, 676, 23497, 3557, 2160, 543, 2817, 11819, 28389, 618, 8416, 269, 30581, 786, 581, 19610, 609, 606, 31485, 609, 2616, 2218, 942, 267, 543, 789, 786, 960, 609, 713, 31485, 2429, 519, 1382, 267, 689, 7041, 547, 1239, 2079, 269, 21191, 2026, 786, 5688, 958, 8038, 20829, 519, 2616, 2218, 7466, 267, 786, 2936, 4928, 4245, 1759, 593, 741, 2833, 267, 543, 786, 2347, 606, 23793, 1544, 563, 5353, 3005, 883, 713, 20380, 1982, 568, 5963, 606, 8956, 585, 519, 7855, 543, 741, 1153, 267, 4541, 10740, 610, 2616, 2218, 563, 18550, 476, 1704, 628, 267, 476, 1001, 274, 7585, 454, 288, 3163, 543, 15099, 4659, 585, 4400, 3427, 3163, 11334, 454, 19798, 4953, 476, 1001, 274, 10241, 1930, 4728, 476, 1428, 1107, 4989, 476, 1789, 267, 476, 1001, 274, 454, 25898, 596, 899, 547, 1451, 811, 827, 519, 15834, 2361, 540, 8330, 13681, 5735, 286, 3657, 596, 3168, 585, 513, 4207, 21044, 2257, 6437, 602, 568, 4441, 1759, 286, 3657, 596, 538, 3406, 540, 606, 3078, 3318, 1646, 4316, 286, 3657, 596, 4712, 547, 2671, 707, 15131, 585, 2257, 3450, 609, 1866, 286, 1403, 865, 267, 649, 16436, 596, 547, 1831, 606, 6789, 306, 4953, 4116, 563, 763, 6789, 306, 4953, 1995, 786, 581, 7920, 543, 3078, 267, 7317, 543, 1543, 3638, 267, 609, 14245, 676, 3056, 4230, 13681, 5735, 3173, 689, 519, 10323, 2316, 4659, 267, 8331, 267, 543, 519, 4993, 9142, 540, 7070, 269, 12207, 786, 2671, 519, 5767, 538, 4230, 13681, 5735, 1382, 593, 519, 5169, 540, 1272, 593, 3047, 267, 519, 3665, 2175, 538, 799, 1272, 6818, 267, 9370, 3408, 267, 519, 5250, 540, 19236, 1949, 1472, 6129, 6438, 6801, 267, 543, 519, 3406, 585, 1272, 538, 519, 7122, 269, 634, 13186, 2934, 513, 4999, 540, 5969, 6316, 2257, 267, 14374, 2861, 3450, 543, 1565, 267, 543, 5718, 1983, 1646, 547, 1489, 596, 607, 513, 4116, 543, 4116, 26519, 269, 19893, 4309, 519, 3003, 30576, 1137, 3414, 5384, 6437, 543, 14911, 4230, 13681, 5735, 2326, 267, 2919, 676, 8331, 779, 8330, 13681, 5735, 4659, 267, 585, 946, 538, 741, 13460, 563, 19798, 4953, 568, 14102, 676, 519, 10323, 2316, 4659, 267, 3447, 622, 3013, 267, 8331, 779, 31854, 2214, 8879, 25076, 585, 5606, 14518, 18395, 630, 12569, 293, 8656, 264, 4065, 543, 5398, 4934, 18943, 5358, 543, 8331, 779, 3223, 16980, 17030, 4065, 543, 5398, 4934, 18943, 5358, 563, 19798, 4953, 476, 1001, 274, 786, 581, 4371, 5147, 476, 3066, 1107, 4864, 476, 273, 267, 476, 1001, 274, 454, 21104, 725, 1813, 4989, 476, 1789, 267, 476, 1001, 274, 454, 7312, 7029, 547, 6789, 306, 4953, 912, 268, 27336, 633, 593, 5147, 476, 2764, 267, 476, 1001, 274, 543, 7390, 519, 6789, 306, 4953, 4659, 267, 5147, 476, 3066, 1107, 4864, 476, 274, 476, 1001, 274, 543, 7119, 538, 519, 6789, 306, 4953, 5907, 2146, 2429, 519, 4081, 1032, 563, 268, 25956, 693, 2547, 835, 9074, 540, 966, 22721, 538, 707, 4928, 563, 268, 12160, 622, 538, 513, 533, 2056, 22085, 293, 1382, 7634, 540, 3318, 1646, 454, 268, 18430, 1713, 23793, 2238, 5473, 966, 22721, 936, 519, 1985, 1079, 1296, 267, 585, 1383, 912, 414, 501, 355, 4643, 543, 1291, 513, 4116, 3318, 1646, 13186, 610, 1576, 585, 3610, 1759, 2390, 707, 6789, 306, 4953, 2866, 543, 519, 966, 22721, 2326, 563, 414, 501, 355, 22895, 528, 824, 4116, 4433, 264, 1210, 519, 966, 22721, 6437, 563, 414, 501, 355, 21277, 576, 606, 23793, 2534, 3617, 547, 707, 1153, 610, 8664, 563, 19798, 4953, 779, 7029, 547, 596, 912, 268, 14520, 2395, 540, 2257, 1543, 267, 543, 3946, 6823, 2833, 609, 966, 22721, 267, 693, 519, 10323, 2316, 4659, 543, 5842, 12770, 3557, 2160, 538, 519, 5842, 12770, 7345, 9351, 563, 268, 966, 22721, 6437, 10189, 281, 3670, 13838, 563, 268, 13488, 6351, 1369, 519, 772, 2529, 1421, 4055, 543, 4604, 563, 268, 8033, 5224, 1489, 3842, 593, 11060, 2146, 267, 2326, 585, 23793, 2238, 267, 543, 7658, 20813, 3720, 563, 268, 19983, 609, 824, 1283, 27677, 577, 2257, 3610, 5461, 538, 4230, 13681, 5735, 543, 4720, 563, 268, 12197, 7552, 563, 268, 769, 11431, 8056, 619, 542, 15232, 454, 21104, 725, 689, 6887, 540, 1079, 1164, 1153, 3610, 267, 689, 513, 1153, 610, 8664, 267, 616, 9415, 269, 5637, 2319, 2818, 1590, 1142, 2347, 513, 5094, 3498, 269, 7327, 13987, 3156, 616, 7608, 269, 9603, 547, 5313, 7616, 540, 519, 1982, 267, 1152, 3156, 689, 3610, 538, 772, 2529, 269, 3506, 616, 7608, 563, 274, 10927, 17099, 538, 2069, 786, 581, 2139, 998, 5842, 12770, 3557, 2160, 585, 606, 3606, 1269, 4968, 13927, 630, 11357, 915, 547, 16369, 1040, 16592, 6498, 15938, 5491, 949, 581, 1500, 2139, 693, 513, 14758, 13927, 563, 2690, 811, 1344, 267, 3346, 31656, 11253, 15053, 534, 693, 4757, 11333, 2593, 610, 630, 20981, 264, 476, 31634, 268, 3393, 273, 274, 563, 18550, 476, 1704, 628, 267, 476, 1001, 274, 7585, 454, 301, 677, 14665, 3557, 2160, 814, 1044, 13752, 513, 1533, 4204, 9886, 689, 519, 20274, 3557, 3204, 757, 585, 14451, 4065, 547, 2333, 519, 1297, 540, 14468, 11061, 543, 8212, 3610, 538, 519, 1533, 540, 20274, 563, 763, 22085, 308, 11061, 543, 8212, 9142, 630, 10064, 308, 4211, 4338, 288, 264, 786, 1683, 1382, 2861, 3318, 1646, 585, 14468, 2257, 3610, 945, 1616, 547, 1831, 14468, 547, 4001, 11061, 543, 8212, 269, 634, 1079, 4458, 1982, 786, 1445, 593, 4116, 1702, 267, 4116, 2259, 267, 543, 2875, 9740, 538, 11061, 543, 8212, 269, 634, 1982, 568, 16461, 1746, 476, 736, 2257, 3610, 1533, 4204, 543, 786, 1331, 513, 835, 22173, 4832, 1982, 593, 519, 570, 1695, 548, 638, 1695, 13464, 540, 22085, 308, 4873, 476, 1704, 268, 2641, 267, 476, 1001, 274, 269, 24184, 786, 581, 3177, 607, 2877, 269, 634, 1982, 786, 946, 519, 4563, 4580, 1062, 547, 948, 1020, 513, 1533, 4204, 7991, 540, 6657, 563, 27396, 1218, 786, 2932, 23793, 2238, 693, 519, 20274, 3163, 11819, 5948, 5993, 5870, 543, 693, 519, 17368, 14665, 20274, 9119, 543, 3163, 11819, 5948, 5993, 5870, 693, 22085, 308, 269, 1452, 11401, 786, 1683, 3255, 585, 824, 2257, 3610, 547, 2170, 609, 1982, 5171, 543, 786, 1683, 5171, 13033, 3255, 609, 4810, 11061, 543, 8212, 3610, 563, 763, 2640, 547, 4116, 5171, 1331, 513, 10469, 1512, 6997, 5226, 652, 476, 273, 543, 519, 1739, 28525, 281, 2837, 16785, 267, 5163, 18785, 267, 9063, 16785, 630, 21206, 28525, 543, 6997, 1160, 12229, 786, 581, 13859, 519, 2034, 1032, 13776, 513, 16434, 23616, 754, 267, 25778, 3101, 585, 5216, 5171, 267, 2324, 561, 31708, 267, 13977, 19317, 3108, 540, 3318, 1646, 1282, 519, 4832, 267, 2228, 1246, 5346, 2238, 543, 1489, 1282, 519, 4081, 1032, 267, 543, 7482, 547, 1491, 519, 13013, 2969, 538, 11061, 543, 538, 8212, 693, 519, 3932, 540, 519, 1982, 563, 2252, 596, 616, 5461, 538, 713, 1982, 610, 952, 596, 917, 513, 4116, 945, 1522, 581, 5461, 267, 5225, 3346, 519, 5358, 10615, 267, 3220, 269, 4989, 17566, 269, 1284, 723, 513, 1906, 5624, 1869, 2139, 585, 519, 476, 1001, 274, 14400, 4659, 563, 1607, 1982, 568, 14102, 998, 606, 25947, 11819, 10866, 16827, 689, 519, 20274, 3557, 3204, 757, 585, 14451, 4065, 269, 0, 268, 13555, 2974, 454, 7495, 310, 4826, 8750, 454, 763, 744, 291, 310, 4826, 8750, 568, 606, 3390, 10391, 2508, 602, 9607, 519, 3668, 540, 1569, 547, 2973, 6704, 1216, 543, 2596, 19455, 269, 2755, 1390, 3356, 814, 1044, 1500, 267, 972, 616, 1869, 1472, 476, 278, 3199, 2929, 1004, 1472, 519, 1158, 602, 3668, 1569, 547, 2973, 6704, 1216, 543, 5176, 476, 274, 269, 275, 2929, 1004, 5884, 1169, 1032, 689, 1216, 1644, 3676, 269, 1635, 1810, 908, 547, 713, 2508, 267, 596, 786, 948, 1004, 538, 25680, 991, 2744, 519, 1898, 1480, 1318, 540, 2348, 1569, 547, 6704, 1216, 543, 2596, 19455, 267, 799, 786, 948, 2569, 10867, 9019, 267, 28824, 3676, 267, 543, 2489, 2298, 540, 1272, 563, 12850, 568, 606, 1898, 3693, 585, 1169, 1480, 1373, 267, 585, 2123, 4616, 543, 5986, 267, 3395, 7031, 543, 4509, 13184, 267, 2123, 9882, 267, 543, 11067, 1919, 267, 971, 607, 7802, 543, 8286, 269, 7457, 547, 1216, 5654, 1114, 538, 1169, 2197, 269, 898, 1223, 1611, 12992, 883, 5321, 267, 610, 513, 1134, 267, 476, 1789, 3764, 2476, 269, 1809, 1100, 2339, 519, 4441, 1305, 676, 513, 2197, 267, 1569, 547, 2973, 6704, 1216, 543, 1697, 19455, 616, 2629, 1480, 2924, 267, 1317, 1510, 891, 267, 1004, 616, 7142, 547, 7048, 593, 22247, 2959, 585, 1216, 267, 799, 3810, 4679, 519, 1981, 585, 28824, 267, 3868, 762, 3676, 269, 1306, 513, 1267, 540, 16283, 2200, 267, 3885, 616, 12758, 538, 513, 4783, 540, 2192, 1072, 543, 6710, 267, 799, 1860, 1453, 1034, 16094, 269, 634, 6167, 814, 16363, 713, 6433, 519, 968, 338, 559, 550, 6595, 892, 1317, 22247, 1216, 3761, 267, 3668, 540, 1697, 19455, 267, 543, 16789, 9882, 616, 519, 2014, 540, 936, 476, 274, 269, 276, 2929, 7972, 513, 1032, 267, 543, 476, 10019, 260, 540, 1346, 7972, 616, 1453, 563, 268, 19768, 540, 19455, 568, 519, 1158, 779, 7887, 2014, 540, 3968, 269, 630, 4248, 3820, 994, 268, 476, 274, 269, 276, 2929, 1004, 5884, 1169, 1032, 1813, 547, 22247, 1216, 543, 3668, 540, 1697, 19455, 269, 630, 4248, 3820, 994, 268, 18648, 1216, 2298, 666, 2333, 519, 1981, 540, 971, 11591, 515, 531, 3676, 607, 26601, 5028, 267, 27193, 1355, 8611, 543, 7988, 550, 2044, 267, 543, 824, 1216, 25645, 5563, 269, 630, 21766, 994, 2171, 2052, 5269, 513, 16338, 563, 288, 3070, 547, 713, 3390, 666, 581, 2241, 267, 855, 621, 3340, 513, 10319, 4674, 1063, 3025, 3238, 547, 4137, 856, 1018, 786, 960, 1655, 267, 543, 875, 891, 3292, 786, 581, 13455, 538, 519, 1279, 2196, 269, 744, 291, 310, 814, 24574, 1229, 609, 6909, 3906, 971, 607, 17493, 281, 1216, 267, 513, 1126, 779, 1318, 267, 4270, 667, 821, 8644, 4997, 267, 24306, 540, 4886, 267, 3092, 269, 799, 1683, 1569, 547, 2973, 6704, 1216, 543, 19455, 6703, 676, 2679, 19401, 267, 14335, 4234, 21218, 267, 543, 2870, 22729, 1949, 563, 1432, 2052, 1411, 1684, 888, 13706, 24574, 1359, 609, 721, 607, 649, 3343, 547, 7649, 609, 1507, 543, 5420, 21092, 27013, 543, 25553, 11675, 602, 616, 2324, 24091, 547, 2285, 3025, 519, 8471, 1480, 1318, 540, 1569, 547, 2973, 6704, 1216, 543, 7850, 19455, 6703, 269, 476, 1911, 260, 540, 707, 21856, 630, 2381, 639, 5491, 3556, 12375, 264, 786, 979, 547, 5402, 17022, 1540, 12352, 543, 14828, 563, 7495, 310, 4826, 8750, 18776, 454, 26244 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 332, 718, 4055, 267, 1141, 621, 729, 1713, 585, 782, 7158, 4849, 2990, 8633, 267, 982, 585, 519, 16959, 6441, 1618, 4055, 267, 538, 799, 621, 6603, 4644, 1152, 585, 7158, 2473, 296, 543, 2473, 2862, 630, 8368, 590, 276, 1040, 7053, 267, 519, 3845, 16863, 9867, 811, 2066, 7158, 538, 519, 16959, 6441, 1618, 543, 681, 1197, 828, 656, 4149, 332, 718, 11623, 982, 538, 519, 13129, 4055, 630, 3467, 1713, 1063, 6261, 3789, 3604, 538, 7305, 590, 275, 1070, 543, 941, 2949, 9803, 585, 4992, 9447, 689, 519, 17886, 522, 685, 22018, 2990, 630, 8993, 269, 476, 274, 320, 1916, 19284, 519, 3845, 16863, 267, 519, 20842, 574, 3578, 531, 4287, 630, 8993, 269, 476, 273, 321, 267, 2407, 13063, 264, 543, 11741, 1145, 630, 8993, 269, 476, 273, 322, 264, 9794, 906, 1705, 711, 1397, 513, 21341, 593, 519, 6947, 1604, 269, 5502, 267, 789, 9867, 609, 519, 2990, 540, 519, 3077, 15128, 630, 8993, 338, 476, 275, 543, 476, 276, 1070, 609, 519, 2949, 6871, 540, 2953, 9794, 906, 8151, 689, 476, 2412, 547, 476, 2568, 10065, 12430, 6404, 13716, 338, 21524, 601, 4888, 10976, 2026, 609, 18740, 267, 595, 826, 267, 543, 19024, 607, 6378, 2188, 543, 5903, 10273, 607, 513, 4351, 3815, 630, 307, 1963, 590, 277, 543, 590, 280, 264, 9672, 602, 267, 585, 891, 1079, 10305, 267, 972, 729, 513, 1713, 1198, 540, 19024, 1496, 291, 3925, 281, 674, 263, 277, 267, 10384, 264, 815, 476, 2412, 269, 277, 267, 533, 2999, 476, 271, 269, 9826, 282, 3281, 716, 1145, 281, 674, 263, 277, 267, 13970, 277, 264, 815, 476, 2767, 269, 279, 267, 533, 2999, 476, 271, 269, 9826, 316, 855, 1100, 1198, 540, 18740, 1496, 291, 3925, 281, 674, 263, 273, 267, 10384, 264, 815, 476, 271, 269, 275, 267, 533, 815, 476, 271, 269, 277, 4375, 282, 3281, 716, 1145, 281, 674, 263, 273, 267, 13970, 277, 264, 815, 476, 272, 269, 271, 267, 533, 815, 476, 271, 269, 3374, 278, 4940, 700, 8632, 7158, 630, 7656, 543, 26577, 264, 941, 9846, 15951, 811, 8308, 982, 4395, 630, 311, 2862, 264, 543, 1394, 630, 9654, 264, 7158, 585, 1312, 4287, 543, 11741, 1145, 630, 8993, 338, 476, 275, 320, 543, 476, 276, 320, 1040, 5403, 554, 665, 2789, 16198, 1210, 16515, 4486, 779, 9237, 1713, 3017, 1449, 4951, 602, 267, 950, 782, 4055, 10291, 941, 2139, 267, 476, 278, 856, 540, 476, 279, 4395, 270, 3724, 5288, 14694, 16198, 941, 1713, 267, 1247, 16863, 585, 7158, 8633, 5288, 26577, 543, 17886, 5288, 2473, 2862, 2760, 28209, 3648, 630, 307, 1963, 590, 278, 543, 590, 1015, 1916, 2690, 4287, 531, 16863, 630, 8993, 269, 476, 275, 320, 1070, 519, 1655, 2773, 729, 4767, 585, 4633, 6786, 9447, 689, 519, 8633, 543, 26577, 522, 685, 22018, 7158, 538, 782, 11623, 267, 6466, 519, 10782, 2773, 729, 4767, 585, 7158, 17886, 267, 23446, 267, 543, 2473, 2862, 522, 685, 22018, 269, 634, 4463, 540, 519, 8900, 13063, 538, 8431, 269, 476, 273, 321, 6920, 1018, 519, 6871, 540, 2953, 4287, 531, 9794, 906, 1131, 581, 952, 4395, 25746, 1476, 16272, 941, 2808, 607, 2953, 6114, 267, 1775, 4318, 1421, 519, 3017, 1063, 8900, 543, 2407, 13063, 9356, 519, 2557, 540, 4395, 25746, 1476, 16272, 585, 1142, 2783, 269, 589, 5276, 6404, 13716, 338, 2203, 30654, 5340, 593, 519, 2557, 540, 4395, 25746, 1476, 16272, 7000, 1100, 1713, 1198, 540, 18740, 1496, 293, 263, 273, 267, 10384, 264, 815, 476, 271, 269, 277, 267, 533, 815, 476, 271, 269, 276, 3607, 316, 855, 513, 1713, 1198, 540, 19024, 1496, 293, 263, 277, 267, 10384, 264, 815, 476, 1428, 269, 273, 267, 533, 2999, 476, 271, 269, 9826, 316, 630, 8368, 590, 1321, 1070, 543, 7766, 2022, 3620, 665, 2079, 4951, 1713, 3604, 1152, 585, 6292, 3772, 16198, 5473, 2901, 7158, 17886, 610, 2473, 2862, 522, 685, 22018, 630, 8368, 590, 1724, 1040, 901, 25495, 602, 19700, 22157, 547, 2199, 1125, 15672, 4992, 811, 3362, 267, 6466, 4395, 543, 1394, 7158, 941, 1419, 11821, 269, 769, 1840, 267, 519, 6476, 540, 13065, 540, 519, 4287, 9794, 906, 4951, 513, 1713, 3017, 2066, 7158, 630, 395, 485, 273, 263, 277, 264, 815, 476, 4097, 269, 2537, 267, 533, 2999, 476, 271, 269, 9826, 1070, 609, 519, 9803, 13065, 4767, 585, 14694, 7158, 8633, 543, 26577, 522, 685, 22018, 630, 8368, 590, 1428, 1040, 1717, 267, 1100, 2312, 1198, 729, 1336, 540, 2436, 610, 711, 519, 15128, 941, 897, 11343, 609, 7298, 561, 10796, 701, 5474, 630, 8368, 590, 1626, 1916, 1103, 2474, 540, 11741, 1145, 16863, 630, 8993, 476, 276, 320, 1070, 519, 15128, 15951, 538, 782, 1614, 5054, 4951, 513, 3648, 3677, 4080, 2707, 3376, 1145, 585, 4395, 543, 1394, 982, 585, 14694, 7158, 269, 634, 2022, 3620, 665, 2079, 9672, 602, 267, 950, 1312, 3308, 543, 17391, 4055, 10291, 941, 2139, 267, 782, 4395, 270, 3724, 5288, 14694, 16198, 941, 3648, 1114, 267, 1247, 8633, 5288, 26577, 543, 17886, 5288, 2473, 2862, 1705, 711, 8428, 3648, 630, 8368, 590, 278, 1040, 4935, 267, 5691, 15128, 9447, 689, 519, 4395, 543, 1394, 7158, 616, 711, 1152, 16609, 585, 3280, 31338, 267, 855, 849, 1459, 513, 4161, 585, 8901, 17478, 563, 22546, 540, 17391, 5288, 3308, 4656, 540, 519, 4055, 454, 763, 3310, 540, 519, 1826, 540, 2139, 4055, 5829, 10291, 593, 3280, 5007, 1436, 729, 6594, 676, 9236, 519, 2164, 585, 519, 2783, 1141, 19700, 4607, 1312, 3308, 543, 17391, 4055, 10291, 630, 8993, 269, 476, 273, 267, 2451, 8440, 264, 547, 519, 2175, 1141, 789, 4607, 2901, 3308, 630, 8993, 269, 476, 273, 267, 1647, 8440, 264, 610, 17391, 4055, 10291, 630, 8993, 269, 476, 273, 267, 1318, 8440, 264, 1152, 563, 2690, 20842, 574, 3578, 531, 4287, 543, 11741, 1145, 630, 8993, 269, 476, 273, 321, 543, 524, 1070, 1100, 1713, 1292, 1198, 729, 1336, 1063, 519, 7318, 2175, 538, 519, 30654, 1496, 291, 3925, 281, 674, 263, 273, 267, 10384, 264, 815, 476, 271, 269, 275, 267, 533, 815, 476, 271, 269, 6858, 274, 282, 3281, 716, 1145, 281, 674, 263, 273, 267, 13970, 277, 264, 815, 476, 271, 269, 278, 267, 533, 815, 476, 271, 269, 275, 4281, 316, 630, 307, 1963, 590, 277, 543, 590, 280, 1040, 1703, 941, 1713, 4205, 1063, 595, 826, 543, 19024, 585, 519, 1079, 10305, 1496, 291, 3925, 281, 674, 263, 1321, 267, 10384, 264, 815, 476, 273, 269, 271, 267, 533, 815, 476, 271, 269, 25171, 282, 3281, 716, 1145, 281, 674, 263, 1321, 267, 13970, 277, 264, 815, 476, 273, 269, 277, 267, 533, 815, 476, 271, 269, 16573, 4940, 1717, 267, 519, 2022, 3620, 665, 2079, 4951, 602, 9039, 540, 519, 6292, 3772, 16198, 7283, 1713, 1310, 15494, 585, 2789, 16198, 585, 4287, 630, 8368, 590, 1556, 1070, 1247, 1152, 519, 6476, 585, 782, 4055, 10291, 5288, 3308, 4055, 10291, 1152, 538, 2990, 2473, 2862, 7283, 1713, 585, 11741, 1145, 630, 8368, 590, 279, 1916, 1103, 4334, 547, 519, 824, 1079, 10305, 267, 519, 4806, 540, 3845, 9794, 906, 538, 519, 1614, 11623, 9867, 3648, 1063, 519, 1614, 29692, 2175, 630, 8993, 269, 476, 273, 320, 1040, 634, 30654, 630, 8368, 590, 272, 264, 4951, 513, 1713, 1198, 540, 595, 826, 1496, 293, 263, 273, 267, 13970, 277, 264, 815, 476, 278, 269, 277, 267, 533, 815, 476, 271, 269, 9826, 3910, 543, 513, 1713, 5872, 1063, 18740, 543, 595, 826, 1496, 293, 263, 275, 267, 13970, 277, 264, 815, 476, 1626, 269, 277, 267, 533, 2999, 476, 271, 269, 9826, 4940, 769, 519, 13129, 4055, 630, 8993, 269, 476, 273, 320, 267, 2699, 13063, 1070, 519, 16863, 5833, 585, 2175, 609, 2901, 3308, 610, 17391, 10291, 630, 332, 1497, 543, 1318, 8440, 264, 8507, 538, 5594, 2539, 3845, 16863, 982, 538, 519, 2783, 609, 1312, 10291, 2139, 630, 3847, 8470, 1070, 855, 891, 3604, 941, 711, 1713, 630, 8368, 590, 273, 1040, 634, 3845, 8464, 5833, 538, 519, 16959, 6441, 1618, 4055, 630, 8993, 269, 476, 273, 320, 267, 3039, 13063, 264, 941, 9247, 19448, 26327, 676, 519, 1826, 540, 29692, 267, 10630, 676, 28971, 3604, 538, 9794, 906, 2066, 2175, 630, 8368, 590, 273, 1040, 769, 4334, 267, 538, 519, 681, 1197, 828, 656, 4149, 332, 718, 4055, 630, 8993, 269, 476, 273, 320, 267, 4544, 13063, 1070, 19700, 941, 3648, 811, 4977, 630, 2421, 476, 3374, 8472, 538, 519, 3308, 4055, 29692, 1152, 2783, 630, 332, 1497, 8470, 264, 3379, 547, 519, 824, 1079, 2175, 630, 3847, 543, 1318, 8440, 1070, 799, 941, 2147, 269, 634, 2022, 3620, 665, 2079, 9672, 602, 519, 4527, 540, 1651, 784, 745, 550, 17391, 4055, 10291, 3366, 547, 3648, 2539, 3845, 16863, 538, 519, 681, 1197, 828, 656, 4149, 332, 718, 4055, 630, 8993, 269, 476, 273, 320, 267, 4544, 13063, 264, 1152, 630, 335, 2999, 476, 271, 269, 9826, 267, 7305, 590, 273, 1040, 5047, 267, 519, 3604, 538, 3845, 16863, 1063, 519, 681, 1197, 828, 656, 4149, 332, 718, 543, 519, 824, 1079, 11623, 941, 1152, 1713, 950, 17391, 4055, 10291, 941, 2139, 630, 335, 2999, 476, 271, 269, 9826, 267, 7305, 590, 274, 1040, 4475, 267, 519, 19700, 685, 3845, 9794, 906, 941, 4389, 8164, 789, 4607, 17391, 4055, 10291, 689, 519, 1404, 3724, 4055, 602, 1705, 711, 6474, 1346, 689, 519, 10916, 4055, 267, 1247, 741, 9794, 906, 7283, 19448, 26327, 950, 789, 1223, 1294, 513, 4055, 602, 28209, 689, 519, 835, 789, 4862, 998, 519, 2212, 7483, 12093, 269, 901, 2623, 729, 5812, 2066, 782, 2707, 7158, 630, 8993, 269, 476, 274, 321, 1700, 323, 1070, 543, 1100, 5872, 729, 1336, 1063, 595, 826, 543, 19024, 538, 519, 30654, 1496, 293, 263, 1321, 267, 13970, 277, 264, 815, 476, 271, 269, 277, 267, 533, 815, 476, 271, 269, 279, 1240, 14073, 23087, 543, 17564, 454, 763, 1657, 2164, 5815, 602, 513, 25314, 2255, 1063, 519, 4055, 538, 799, 519, 536, 2088, 1116, 2212, 7483, 12093, 729, 5129, 1394, 543, 519, 4055, 538, 799, 519, 645, 6020, 20745, 941, 6592, 568, 17672, 547, 519, 5007, 1436, 540, 519, 4611, 17391, 2592, 538, 2474, 540, 741, 9228, 3845, 269, 1717, 267, 972, 729, 1100, 2963, 602, 971, 513, 4055, 25314, 2255, 5540, 519, 9228, 20842, 574, 3578, 531, 4287, 610, 11741, 1145, 540, 519, 17391, 2592, 563, 763, 4681, 849, 2303, 602, 519, 17391, 1110, 1275, 814, 513, 2362, 1764, 593, 5007, 1436, 538, 2474, 540, 9228, 3845, 982, 519, 3308, 1110, 1275, 267, 950, 10291, 689, 519, 10916, 543, 1404, 3724, 4055, 616, 1651, 784, 745, 550, 269, 898, 1058, 581, 7074, 602, 519, 829, 24632, 9794, 906, 941, 5833, 1282, 606, 17391, 26209, 4305, 267, 799, 1522, 2491, 1946, 519, 4767, 2360, 1152, 7018, 950, 519, 1344, 729, 1651, 784, 745, 550, 1369, 519, 1482, 630, 7596, 7480, 264, 1110, 1275, 543, 711, 2066, 23857, 269, 19634, 940, 519, 1909, 540, 519, 3308, 1110, 1275, 267, 513, 2312, 11984, 1058, 581, 1500, 1063, 4055, 5829, 3308, 10291, 267, 799, 1705, 711, 1860, 5007, 1436, 1934, 267, 543, 2707, 5829, 3308, 10291, 267, 799, 723, 1044, 4080, 547, 3310, 519, 17391, 8901, 12705, 538, 6901, 1141, 24384, 990, 529, 783, 15128, 6655, 8901, 27753, 1556, 267, 1321, 269, 769, 519, 1459, 1353, 267, 513, 8579, 6476, 540, 519, 13065, 540, 519, 4287, 9193, 4951, 602, 621, 9867, 3648, 2066, 7158, 630, 8368, 590, 1428, 1040, 4014, 713, 9356, 519, 1249, 602, 811, 1476, 16272, 7018, 585, 930, 7158, 982, 1866, 630, 8993, 269, 476, 275, 1070, 519, 1713, 6292, 3772, 16198, 1705, 711, 18928, 2049, 1063, 7158, 609, 543, 1510, 7298, 561, 10796, 701, 5474, 630, 8368, 590, 1626, 1916, 14454, 267, 938, 2164, 6542, 602, 519, 5207, 4110, 540, 5007, 1436, 568, 5833, 538, 519, 4527, 540, 1312, 17391, 543, 3308, 21412, 1344, 269, 769, 1651, 784, 745, 550, 6947, 3871, 267, 519, 17391, 1344, 827, 519, 4055, 3587, 811, 2565, 585, 519, 8226, 540, 3845, 950, 519, 6947, 1604, 568, 811, 26871, 828, 656, 3379, 547, 519, 10916, 4055, 267, 855, 711, 950, 519, 6947, 4055, 568, 606, 3663, 18757, 269, 6270, 513, 1267, 1522, 581, 6045, 676, 519, 1249, 602, 519, 3017, 538, 26871, 828, 566, 942, 1063, 519, 13129, 543, 519, 681, 1197, 828, 656, 4149, 332, 718, 4055, 630, 273, 269, 275, 521, 264, 729, 1454, 3677, 982, 602, 1063, 519 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9479, 454, 1892, 13044, 268, 866, 1249, 19295, 9535, 543, 25749, 9477, 4609, 454, 1892, 22518, 5126, 267, 21440, 267, 1876, 267, 543, 519, 10470, 454, 1892, 4354, 6275, 4780, 1562, 454, 1892, 24547, 558, 2329, 543, 4914, 12602, 454, 1892, 13188, 281, 5763, 267, 6710, 267, 543, 519, 2462, 1269, 4605, 454, 1892, 3798, 1746, 9504, 454, 1892, 30760, 12611, 543, 771, 15574, 454, 1892, 5082, 687, 281, 1548, 547, 917, 543, 1141, 547, 1265, 621, 454, 1892, 5517, 4466, 267, 1249, 10992, 267, 543, 3377, 2200, 454, 1892, 29972, 1299, 2030, 1158, 454, 1892, 17323, 267, 7851, 267, 1747, 4408, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9558, 2536, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 31666, 7701, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 1912, 720, 10657, 281, 4635, 5164, 4926, 547, 674, 697, 29318, 692, 5970, 596, 2479, 4862, 540, 2576, 3478, 7210, 689, 4551, 286, 9320, 621, 729, 1792, 335, 11563, 610, 513, 7181, 17079, 269, 3776, 4703, 616, 4904, 609, 782, 12204, 540, 6263, 7103, 1572, 17973, 910, 4551, 267, 8290, 267, 13271, 267, 543, 811, 256, 2368, 540, 891, 17973, 666, 2014, 10108, 267, 1247, 1866, 948, 1832, 721, 2635, 269, 1809, 1705, 596, 917, 649, 666, 946, 824, 2010, 540, 17973, 267, 899, 1978, 5686, 540, 8290, 267, 547, 4339, 1055, 5739, 4551, 286, 901, 1523, 568, 1634, 607, 943, 720, 3797, 780, 2414, 1174, 875, 713, 1568, 267, 1577, 781, 1491, 513, 1900, 1394, 543, 1451, 827, 1018, 8290, 616, 269, 589, 3644, 568, 513, 1507, 11763, 8665, 602, 18187, 919, 3330, 2713, 2281, 269, 6056, 540, 873, 607, 6263, 5536, 602, 666, 4283, 938, 1560, 781, 2281, 543, 554, 6359, 871, 741, 12227, 547, 1711, 811, 12215, 540, 2933, 269, 2755, 789, 1522, 3280, 17559, 267, 1082, 8290, 5749, 1405, 5739, 282, 930, 949, 1256, 2149, 721, 676, 11318, 1055, 5739, 4551, 256, 1452, 5363, 8290, 616, 1572, 3566, 328, 2684, 1137, 267, 610, 3274, 943, 1137, 780, 3086, 267, 4952, 952, 649, 1223, 10244, 519, 1379, 540, 891, 1434, 8290, 547, 6861, 3983, 4551, 4929, 3676, 269, 4270, 267, 3744, 723, 1044, 3257, 1175, 602, 998, 943, 720, 3797, 256, 1635, 4974, 1114, 2010, 540, 943, 1137, 543, 1620, 799, 3283, 3077, 1808, 4551, 267, 3173, 666, 1020, 5574, 547, 8396, 9190, 5563, 269, 898, 781, 1271, 547, 4063, 602, 943, 1137, 3112, 2800, 1480, 2281, 1107, 789, 4481, 4323, 4551, 1152, 780, 4131, 781, 1413, 693, 606, 1383, 269, 17166, 596, 2759, 3054, 543, 1205, 513, 562, 7360, 3968, 3361, 676, 853, 20942, 19905, 28857, 630, 10193, 1634, 607, 588, 7469, 1040, 5502, 540, 1210, 11216, 267, 7189, 1223, 3442, 513, 5402, 5697, 943, 720, 602, 9072, 1152, 588, 7469, 4551, 269, 4495, 4294, 547, 519, 10138, 267, 519, 943, 720, 1131, 1376, 22215, 543, 21006, 519, 5739, 4551, 267, 6028, 6225, 4551, 4805, 269, 3683, 942, 267, 519, 3968, 1579, 1513, 909, 267, 3850, 707, 1560, 547, 12115, 6923, 780, 4407, 1869, 2808, 8097, 538, 1082, 2694, 540, 519, 1158, 267, 1519, 519, 2136, 2276, 267, 943, 720, 3797, 814, 3254, 9621, 2164, 538, 8156, 3075, 15033, 9190, 5563, 269, 1306, 15084, 4187, 3587, 5051, 16609, 267, 3695, 4244, 2126, 3681, 899, 943, 720, 3797, 786, 1831, 2629, 538, 5329, 721, 2922, 689, 5906, 4551, 780, 763, 1353, 540, 8290, 543, 741, 1761, 3096, 267, 971, 607, 943, 720, 3797, 267, 8813, 896, 519, 2361, 540, 19274, 14347, 269, 12207, 3136, 15388, 2081, 547, 8415, 891, 3532, 5536, 547, 2087, 3782, 543, 8396, 14686, 5563, 269, 5808, 6487, 1765, 821, 1554, 267, 6148, 649, 3513, 1294, 943, 720, 3797, 4742, 513, 3044, 2126, 4781, 538, 10506, 1472, 519, 8608, 2439, 12244, 22830, 281, 5620, 1053, 1374, 741, 1378, 834, 874, 720, 21962, 2437, 2870, 2241, 3631, 856, 540, 10036, 610, 1957, 602, 2099, 943, 1137, 10122, 1524, 543, 14874, 5739, 4551, 269, 11559, 5876, 543, 4901, 4478, 519, 2640, 543, 3156, 540, 943, 720, 3797, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7804, 269, 27722, 918, 749, 4752, 17327, 3778, 476, 1960, 276, 454, 12606, 519, 7300, 281, 918, 749, 4752, 318, 294, 776, 318, 302, 1537, 318, 14532, 318, 1960, 276, 630, 14457, 476, 13923, 737, 289, 994, 1607, 568, 606, 5967, 540, 3220, 269, 27722, 918, 749, 4752, 267, 945, 5129, 1883, 5107, 538, 1585, 2127, 540, 519, 9435, 22870, 14347, 5358, 267, 14356, 2324, 609, 7585, 670, 826, 321, 1676, 267, 3144, 593, 4989, 476, 866, 267, 476, 1960, 276, 269, 634, 5967, 518, 568, 3220, 269, 14161, 717, 269, 22823, 267, 5449, 10615, 540, 519, 2817, 9435, 4659, 563, 289, 6033, 281, 3220, 269, 918, 749, 4752, 267, 594, 5660, 707, 18515, 547, 2911, 609, 721, 269, 16393, 596, 2285, 721, 267, 1101, 267, 513, 2370, 3787, 540, 4282, 267, 1141, 596, 4682, 547, 1153, 543, 945, 596, 5249, 609, 543, 865, 593, 888, 298, 749, 4752, 281, 11289, 596, 269, 8786, 269, 594, 21783, 693, 519, 2160, 540, 12548, 267, 519, 6481, 3427, 972, 267, 538, 1412, 6858, 267, 543, 729, 26752, 267, 693, 519, 2160, 540, 12548, 267, 602, 5213, 3751, 267, 519, 10361, 540, 11202, 1108, 267, 1185, 3710, 513, 1360, 2178, 17326, 529, 4184, 1441, 11202, 1108, 4972, 267, 543, 596, 1336, 1004, 538, 519, 11202, 4972, 602, 596, 4769, 1405, 1419, 1265, 538, 11202, 3493, 25902, 693, 602, 942, 267, 538, 519, 1412, 2568, 338, 269, 2334, 568, 267, 646, 1185, 10510, 19274, 6331, 1235, 267, 5027, 1979, 32554, 1235, 734, 32178, 15284, 734, 663, 538, 519, 10510, 19274, 1503, 334, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4942, 720, 10657, 257, 607, 851, 540, 834, 306, 11799, 1315, 5020, 7070, 1315, 22870, 14347, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1724, 281, 10289, 9608, 1242, 717, 22284, 281, 634, 8342, 2622, 540, 590, 1723, 582, 619, 692, 5970, 596, 2479, 2938, 2576, 14964, 513, 1085, 2393, 518, 543, 2219, 621, 6743, 899, 513, 2603, 540, 1187, 286, 4270, 267, 972, 781, 811, 982, 1175, 835, 2601, 1946, 1004, 2972, 1210, 873, 256, 769, 713, 3184, 267, 649, 786, 2263, 519, 1158, 540, 10531, 1085, 2393, 518, 13344, 543, 1451, 827, 875, 789, 666, 3142, 7772, 547, 4896, 945, 11392, 835, 780, 20058, 267, 1018, 4010, 568, 513, 1085, 2393, 518, 286, 589, 1085, 2393, 518, 568, 513, 1826, 540, 6283, 3926, 602, 814, 1079, 14743, 267, 513, 3760, 585, 707, 3952, 267, 543, 6023, 321, 1513, 585, 23376, 269, 898, 781, 2147, 547, 513, 25920, 4580, 855, 609, 3773, 6617, 543, 8897, 540, 946, 269, 2368, 1085, 2393, 619, 1256, 2097, 609, 16546, 267, 1818, 873, 5488, 543, 811, 10375, 585, 3478, 1472, 780, 3086, 267, 4952, 8391, 513, 10516, 602, 4564, 1945, 596, 2648, 267, 971, 607, 513, 1085, 2393, 518, 269, 2334, 781, 1141, 10531, 1085, 2393, 518, 610, 23788, 2097, 883, 1404, 256, 1452, 610, 23788, 616, 1507, 267, 2143, 18187, 553, 540, 1085, 2393, 619, 602, 666, 581, 16419, 609, 4408, 543, 7389, 547, 1118, 873, 5963, 2189, 269, 1358, 4196, 607, 1390, 8952, 1389, 585, 19551, 19325, 543, 10781, 538, 1272, 780, 4131, 781, 4685, 4514, 883, 891, 610, 23788, 269, 17214, 856, 540, 2326, 899, 18300, 267, 789, 616, 19756, 2614, 547, 2063, 585, 1296, 1247, 1869, 1373, 17426, 543, 2653, 547, 13793, 593, 513, 3529, 610, 3774, 269, 2060, 513, 2450, 540, 476, 275, 269, 276, 6279, 267, 789, 7001, 782, 519, 1898, 3877, 540, 513, 1483, 1085, 2393, 518, 267, 1519, 922, 31933, 1374, 543, 7524, 4778, 269, 1677, 1283, 621, 1055, 267, 1142, 15022, 3512, 2501, 609, 513, 2893, 514, 26781, 554, 9734, 865, 602, 596, 666, 23217, 4159, 707, 1007, 14951, 780, 4913, 267, 621, 781, 1271, 547, 3314, 602, 4352, 891, 610, 23788, 1413, 32620, 543, 10853, 267, 789, 5749, 1405, 5921, 585, 4890, 946, 269, 5502, 267, 789, 1683, 3308, 9029, 543, 2366, 14939, 1871, 607, 851, 540, 707, 4015, 610, 1753, 26955, 14585, 780, 1103, 3932, 267, 10531, 1085, 2393, 518, 610, 23788, 2709, 513, 1187, 1259, 547, 8661, 938, 6612, 585, 1085, 2393, 619, 543, 29428, 1713, 8090, 538, 938, 2729, 269, 1635, 1620, 741, 3483, 543, 2934, 267, 596, 666, 5660, 891, 23406, 2445, 17156, 543, 6148, 1256, 2015, 4946, 930, 547, 707, 1378, 3395, 909, 610, 23788, 269, 5808, 6487, 1107, 5310, 14693, 267, 596, 1522, 1616, 547, 1711, 707, 1360, 1378, 1085, 2393, 518, 2389, 1335, 539, 4015, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23114, 1242, 681, 4575, 590, 1723, 582, 518, 2107, 24842, 910, 21058, 454, 3963, 3802, 610, 2196, 950, 596, 666, 723, 1187, 543, 1085, 2393, 518, 10876, 286, 901, 1085, 2393, 518, 15022, 3512, 568, 3501, 585, 1346, 945, 2648, 547, 2951, 693, 519, 3432, 540, 513, 1582, 1790, 1886, 8215, 1085, 2393, 518, 256, 5410, 513, 2012, 543, 1032, 547, 1118, 621, 3063, 2027, 2336, 268, 30014, 1948, 8016, 23310, 293, 454, 268, 10049, 281, 18300, 454, 268, 12025, 281, 476, 275, 269, 276, 4840, 268, 22291, 9045, 514, 25906, 2548, 670, 9734, 454, 7775, 23788, 616, 585, 23732, 1152, 269, 901, 6221, 568, 711, 513, 11442, 563, 31624, 330, 11352, 769, 11431, 5141, 846, 454, 290, 20975, 281, 19663, 5455, 2107, 23788, 267, 5020, 781, 9741, 6660, 16893, 2107, 23788, 267, 2107, 23788, 267, 9608, 1242, 19663, 5455, 2107, 23788, 267, 9608, 1242, 20122, 2421, 1299, 11314, 2107, 23788, 267, 9608, 1242, 2107, 23788, 267, 9608, 1242, 22505, 1299, 28046, 2107, 23788, 267, 11846, 1299, 28046, 2107, 23788, 267, 18815, 2107, 23788, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 634, 9119, 540, 24665, 1807, 7136, 15190, 668, 4479, 630, 4456, 306, 2567, 1323, 769, 5937, 3704, 6733, 883, 26994, 25478, 543, 7089, 7010, 692, 1103, 713, 3184, 267, 649, 5490, 2620, 883, 519, 6310, 13210, 602, 20690, 519, 25029, 540, 24665, 1807, 7136, 15190, 668, 4479, 630, 4456, 306, 1070, 4481, 2519, 593, 519, 1523, 540, 10570, 10203, 543, 1297, 1949, 269, 1635, 3695, 891, 3584, 267, 596, 3513, 2744, 513, 4396, 9787, 540, 875, 589, 5960, 13333, 267, 922, 4644, 538, 1585, 3621, 10459, 899, 22884, 267, 28936, 12695, 267, 543, 11976, 267, 543, 1946, 621, 814, 1831, 971, 606, 1898, 10763, 4480, 538, 2413, 1382, 780, 280, 269, 272, 2311, 1682, 267, 1772, 582, 8554, 267, 543, 7101, 542, 16090, 1938, 281, 4197, 27284, 19590, 692, 2414, 2253, 609, 267, 1577, 721, 30603, 2596, 3741, 540, 10570, 2497, 269, 5272, 3114, 3693, 5161, 540, 2189, 2010, 540, 5536, 1572, 8444, 269, 1452, 8444, 666, 723, 1114, 3029, 1634, 607, 24745, 267 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 547, 707, 1970, 2000, 697, 15885, 269, 15331, 609, 1114, 16752, 543, 7285, 547, 11168, 18759, 543, 3986, 707, 3308, 9423, 563, 276, 269, 8125, 17924, 22863, 281, 19024, 3054, 865, 602, 707, 1292, 1641, 7161, 1034, 540, 519, 1769, 2707, 3297, 621, 267, 2870, 513, 11495, 3623, 17924, 8291, 1198, 269, 3550, 602, 972, 781, 2614, 4334, 1063, 519, 1641, 543, 4282, 547, 1118, 519, 3337, 3362, 20559, 1043, 563, 277, 269, 9605, 4103, 281, 12650, 1005, 3595, 1740, 10525, 3340, 2656, 3206, 543, 5730, 12557, 269, 5590, 707, 8254, 547, 8261, 7154, 267, 2824, 513, 1507, 27934, 630, 14683, 535, 5991, 3784, 1070, 543, 946, 513, 6552, 9594, 610, 1582, 2389, 25534, 547, 7413, 21199, 269, 17797, 18869, 8417, 1759, 593, 19355, 8654, 2175, 543, 4776, 1371, 707, 7828, 25656, 547, 2327, 8325, 2164, 780, 2026, 596, 2259, 891, 2553, 267, 3314, 602, 9639, 543, 17634, 616, 1883, 3334, 540, 3811, 30148, 10344, 269, 5213, 1405, 581, 12922, 547, 7903, 6302, 543, 2119, 1007, 4485, 32503, 2760, 917, 1018, 6909, 2592, 24098, 596, 538, 519, 14334, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 20442, 4956, 547, 2119, 1945, 1114, 713, 3390, 267, 513, 6249, 602, 7012, 1406, 2731, 513, 6249, 519, 1259, 23834, 12088, 610, 13673, 309, 312, 610, 570, 30728, 616, 4798, 269, 3776, 19875, 713, 942, 568, 28267, 297, 4488, 4811, 269, 1635, 799, 649, 1611, 547, 17538, 9444, 513, 11826, 1148, 3620, 626, 5566, 2126, 540, 519, 2413, 626, 1843, 267, 6862, 513, 5039, 1670, 2272, 540, 8631, 267, 6862, 930, 5626, 2126, 540, 7287, 543, 922, 3077, 269, 1284, 2219, 540, 621, 607, 513, 1391, 267, 610, 2864, 513, 2243, 2443, 1018, 616, 519, 645, 573, 1735, 652, 1919, 538, 519, 1158, 286, 1284, 4280, 2828, 2025, 543, 1007, 547, 1404, 2059, 609, 721, 267, 4952, 1175, 971, 606, 1843, 267, 543, 1287, 2995, 721, 513, 1650, 827, 621, 563, 4517, 3138, 267, 519, 2984, 789, 5143, 281, 20375, 543, 803, 618, 334, 2849, 328, 282, 11599, 605, 1186, 540, 11599, 1004, 282, 3972, 344, 610, 11537, 6517, 267, 21772, 267, 29198, 267, 27120, 269, 667, 1112, 2209, 616, 5594, 936, 21323, 630, 8117, 1287, 267, 18864, 14560, 513, 4412, 899, 513, 9598, 1807, 1040, 2368, 540, 873, 616, 1769, 610, 627, 15501, 673, 269, 2368, 540, 873, 616, 9157, 547, 1224, 269, 630, 4263, 2547, 835, 540, 873, 729, 9157, 547, 2328, 267, 1491, 1250, 2262, 585, 621, 4700, 2368, 616, 20868, 569, 3001, 269, 589, 1906, 540, 873, 616, 14070, 269, 1809, 782, 540, 873, 267, 530, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 301, 697, 5503, 13624, 578, 6441, 697, 22878, 257, 607, 851, 540, 834, 15771, 5588, 24209, 1315, 16316, 338, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 519, 4241, 1158, 540, 1769, 543, 875, 3744, 946, 621, 547, 1451, 827, 519, 7122, 1472, 721, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 513, 2027, 1907, 1572, 10548, 534, 21655, 602, 2337, 3173, 1353, 1114, 2326, 676, 3168, 693, 875, 789, 2170, 609, 1769, 269, 5213, 1405, 5855, 952, 596, 10093, 1405, 4862, 540, 713, 1354, 282, 649, 786, 2736, 1524, 1950, 2035, 883, 2653, 3562, 268, 16187, 1893, 865, 3025, 666, 2972, 1565, 1945, 1007, 2439, 5331, 26124, 513, 8755, 2775, 5196, 1585, 7252, 899, 3574, 267, 4496, 267, 5068, 267, 610, 1256, 1426, 3688, 971, 607, 13212, 543, 10381, 269, 1411, 949, 5469, 2242, 538, 2681, 267, 21386, 267, 610, 3270, 4470, 2390, 1018, 2627, 596, 19542, 707, 8755, 2775, 593, 269, 901, 4523, 1317, 1142, 1570, 25309, 543, 9356, 1769, 8335, 1759, 593, 922, 2189, 3601, 269, 3767, 267, 1577, 781, 1491, 713, 8343, 835, 1900, 2417, 1210, 10548, 534, 21655, 2439, 305, 16120, 21655, 3096, 513, 1808, 1826, 540, 1769, 1572, 8955, 547, 5659, 2326, 269, 1879, 519, 8955, 11237, 16716, 513, 3732, 267, 1034, 540, 519, 1769, 2901, 10596, 998, 610, 536, 25555, 1055, 519, 2627, 1175, 899, 938, 8755, 2775, 1383, 269, 1717, 267, 930, 6263, 6824, 540, 519, 16559, 1769, 25457, 513, 1689, 538, 1648, 1813, 547, 4205, 1369, 519, 6675, 540, 519, 3732, 910, 891, 1507, 10593, 7866, 3407, 1344, 827, 519, 2497, 543, 5888, 540, 519, 1570, 1373, 6594, 269, 1635, 6313, 891, 11029, 3604, 267, 3744, 666, 2697, 7164, 6878, 267, 3313, 741, 19454, 1377, 267, 610, 6895, 3114, 6547, 8345, 3330, 873, 780, 4131, 781, 2015, 513, 1483, 8996, 3498, 540, 10548, 534, 21655, 269, 5994, 3843, 547, 4137, 856, 2436, 513, 17576, 7723, 568, 9758, 610, 16995, 269, 12465, 2409, 1522, 4125, 10992, 31659, 17523, 267, 5860, 267, 610, 21052, 4255, 269, 1809, 782, 891, 2553, 2154, 2168, 3346, 609, 519, 6149, 543, 1223, 5732, 3441, 621, 269, 2060, 10548, 534, 21655, 267, 2705, 267, 972, 781, 1100, 991, 547, 5905, 519, 1843, 693, 782, 256, 3962, 7777, 814, 922, 1378, 3982, 19706, 31937, 267, 3850, 3173, 547, 3362, 10646, 1063, 19987, 267, 6299, 625, 267, 900, 1968, 1091, 267, 3092, 1421, 1247, 6028, 519, 10475, 10007, 21379, 28534, 1282, 4152, 780, 5194, 10578, 1858, 1141, 10548, 534, 21655, 4249, 513, 1713, 1909, 568, 2230, 3408, 269, 13562, 12002, 1419, 7237, 7965, 4974, 11397, 18477, 4703, 2047, 1813, 547, 5318, 9883, 3238, 269, 5502, 267, 789, 2445, 5182, 2775, 10630, 1055, 26300, 15362, 7452, 9274, 543, 12269, 267, 15691, 547, 2744, 4030, 827, 741, 15885, 269, 4635, 10548, 534, 21655, 267, 19936, 666, 1232, 1712, 519, 3169, 2609, 1818, 909, 1346, 17184, 5536, 267, 3246, 10881, 827, 5182, 5250, 3157, 267, 19236, 1062, 4720, 267, 543, 824, 4230, 15929, 9259, 9648, 2484, 2476, 689, 3047, 780, 1103, 3932, 267, 10548, 534, 21655, 3091, 6909, 7399, 950, 621, 2501, 547, 1620, 2339, 693, 1312, 12550, 543, 2890, 10253, 269, 3245, 7114, 4948, 3615, 547, 30196, 11580, 540, 519, 7122, 267, 713, 11684, 1505, 5170, 11319, 6302, 538, 3621, 6602, 269, 5808, 6487, 286, 9320, 14693, 9358, 786, 1831, 513, 22082, 9001, 10548, 534, 21655, 585, 14262, 8906, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 305, 16120, 3194, 10298, 454, 5804, 1164, 2773, 1476, 5914, 10548, 534, 9145, 8554, 547, 20688, 13402, 3435, 543, 3834, 1156, 725, 267, 649, 723, 1044, 5885, 1382, 18129, 2094, 476, 3422, 279, 2336, 295, 3036, 296, 10621, 11660, 568, 519, 1158, 6205, 538, 10548, 534, 21655, 267, 609, 519, 2640, 540, 811, 982, 476, 2004, 1296, 540, 5647, 538, 519, 4480, 269, 10548, 534, 22794, 568, 513, 4480, 799, 2636, 3728, 267, 1875, 1673, 652, 10614, 3114, 2079, 540, 17571, 267, 32340, 267, 15559, 267, 543, 9362, 1107, 2221, 267, 10548, 534, 21655, 568, 1031, 538, 1082, 9867, 4610, 267, 689, 4909, 1382, 909, 547, 4294, 3435, 563, 2171, 1683, 2347, 10548, 534, 21655, 3435, 585, 10763, 7403, 267, 1382, 10548, 534, 267, 11158, 10548, 534, 267, 1627, 290, 270, 304, 288, 543, 4853, 10548, 534, 3156, 269, 1452, 1331, 10548, 534, 26563, 4394, 267, 10316, 10548, 534, 1949, 630, 7945, 607, 19200, 300, 7304, 16120, 1070, 22606, 10548, 534, 1949, 267, 6771, 10548, 534, 2555, 345, 619, 267, 6131, 538, 2198, 1184, 10548, 534, 26563, 4394, 267, 543, 9910, 4405, 1242, 10548, 534, 7405, 585, 1164, 4320, 744, 4932, 9755, 269, 3776, 10548, 534, 21655, 7405, 616, 1031, 538, 20380, 5203, 16951, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 16120, 15190, 18122, 257, 607, 851, 540, 834, 306, 11799, 1315, 15190, 18122, 1299, 25400, 5811, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7689, 281, 16763, 781, 22206, 1359, 543, 18321, 6888, 692, 5331, 24971, 909, 835, 1554, 543, 4466, 856, 602, 3388, 596, 1378, 814, 1044, 3144, 2476, 689, 596, 1107, 707, 2777, 267, 707, 2724, 267, 1256, 707, 1453, 256, 901, 568, 4010, 1018, 5949, 547, 513, 812, 3957, 16763, 538, 519, 6426, 269, 1809, 1946, 1705, 713, 4755, 547, 1864, 286, 9894, 646, 798, 1945, 4636, 286, 2913, 781, 1265, 856, 811, 827, 16763, 781, 1650, 543, 875, 646, 7283, 21705, 5103, 1010, 7092, 780, 8005, 12984, 16763, 888, 2411, 692, 297, 984, 5030, 513, 1279, 942, 3516, 538, 513, 2244, 1572, 772, 345, 630, 933, 1810, 1405, 2731, 917, 1141, 602, 568, 1040, 1261, 1185, 513, 2462, 1920, 267, 1082, 22063, 267, 543, 6266, 540, 2831, 899, 4342, 1564, 267, 13265, 267, 543, 3404, 523, 269, 16763, 729, 849, 1360, 3638, 543, 1134, 15197, 676, 3025, 945, 6785, 1864, 1317, 646, 729, 971, 513, 1434, 1268, 780, 307, 709, 1076, 1290, 525, 12928, 12177, 454, 2411, 15365, 3080, 1554, 267, 30616, 630, 1492, 26881, 264, 3357, 1354, 2696, 543, 15034, 16763, 540, 1373, 1152, 1434, 1317, 540, 782, 519, 25736, 2696, 1185, 2016, 1864, 269, 1677, 6961, 16763, 781, 5132, 6888, 267, 2696, 4847, 30616, 547, 1449, 1864, 676, 2921, 2476, 3388, 646, 11262, 543, 4929, 1864, 1928, 269, 1717, 267, 972, 941, 930, 3652, 281, 30616, 7948, 1405, 6146, 16763, 5128, 269, 1924, 267, 936, 513, 2110, 1974, 267, 16763, 4503, 782, 1010, 22590, 267, 1519, 1010, 4557, 1453, 267, 1813, 547, 1585, 12469, 543, 10913, 780, 8601, 891, 32333, 267, 16763, 7283, 2178, 538, 1010, 5132, 2509, 2696, 543, 4769, 1405, 5609, 1996, 13924, 269, 5502, 267, 646, 26902, 5792, 2696, 543, 1767, 267, 968, 301, 8898, 594, 3357, 689, 1250, 3993, 779, 27042, 267, 543, 21736, 4927, 594, 2132, 972, 269, 634, 7083, 5795, 267, 543, 519, 7083, 814, 3144, 2476, 282, 25552, 581, 519, 2012, 540, 519, 7083, 892, 630, 297, 984, 476, 272, 281, 2641, 11536, 309, 6393, 3719, 519, 4530, 8033, 1132, 454, 2411, 19030, 10214, 1498, 16763, 5293, 519, 1101, 1449, 267, 30616, 7012, 1405, 13854, 2943, 269, 1261, 4280, 2696, 952, 646, 1223, 2800, 16763, 9308, 267, 1932, 269, 11088, 267, 2696, 15868, 713, 855, 6870, 16763, 781, 1272, 269, 17652, 2614, 267, 16763, 2968, 4988, 538, 11213, 1630, 2812, 689, 2212, 547, 23179, 269, 4634, 1010, 7385, 24016, 1864, 547, 31169, 2696, 543, 5884, 269, 12846, 267, 998, 782, 713, 1928, 267, 16763, 8359, 547, 3972, 2696, 780, 293, 12188, 16731, 267, 3502, 29955, 13518, 454, 28598, 16248, 2828, 10272, 16763, 1247, 646, 729, 2469, 998, 713, 2182, 942, 269, 1358, 6170, 5722, 2395, 543, 17334, 1927, 1510, 6031, 4376, 267, 799, 2982, 721, 602, 3006, 1175, 9361, 1985, 547, 2576, 1282, 9157, 2053, 666, 948, 873, 1745, 1447, 4805, 269, 16828, 267, 789, 6836, 4313, 532, 16763, 676, 4758, 741, 8369, 593, 1946, 891, 3983, 1919, 5949, 547, 1864, 269, 10251, 267, 3079, 540, 8716, 16763, 267, 741, 1913, 1500, 1864, 1745, 8338, 780, 7661, 267, 1310, 6947, 547, 1010, 2828, 585, 1896, 11271, 267, 16763, 524, 3072, 856, 547, 2696, 6998, 585, 4267, 269, 3973, 267, 2696, 12943, 16763, 267, 22348, 1864, 540, 3571, 30493, 543, 1379, 269, 1635, 519, 1439, 540, 519, 1433, 267, 16763, 7691, 602, 3425, 3112, 4628, 1174, 2696, 781, 2081, 269, 11086, 267, 16763, 1208, 16940, 5128, 543, 1065, 5034, 540, 1022, 22027, 646, 1522, 723, 1185, 780, 27832, 976, 1284, 6258, 3245, 16763, 454, 10900, 692, 2467, 616, 1079, 1898, 4245, 649, 666, 1491, 2476, 689, 16763, 781, 1650, 1384, 272, 269, 2878, 18661, 4255, 938, 5132, 4995, 3807, 607, 16763, 4810, 267, 649, 786, 3068, 2352, 8090, 538, 938, 2729, 267, 1932, 269, 1452, 2591, 1450 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 538, 4789, 267, 621, 729, 1454, 4130, 630, 1626, 1111, 1279, 1070, 5030, 4505, 630, 520, 4098, 540, 519, 30083, 26226, 264, 543, 729, 8167, 958, 10156, 16250, 22486, 543, 3476, 32567, 982, 4432, 11047, 28683, 1498, 2442, 28402, 3006, 1397, 621, 607, 513, 20538, 1714, 11047, 13239, 267, 609, 513, 3476, 8405, 543, 4130, 2212, 982, 538, 7464, 5020, 563, 303, 1601, 4601, 7064, 547, 741, 21300, 1014, 1413, 543, 519, 7681, 609, 15315, 267, 726, 525, 3930, 320, 2720, 723, 1044, 519, 1034, 11599, 543, 13269, 4262, 20641, 538, 2923, 269, 6145, 17878, 543, 533, 614, 14795, 267, 2503, 547, 1294, 873, 607, 17559, 28749, 609, 513, 11318, 10182, 2509, 3425, 269, 1403, 9800, 2221, 267, 1256, 519, 7887, 4432, 11047, 28683, 9327, 1405, 581, 811, 10728, 982, 1034, 16385, 630, 24392, 789, 1223, 16662, 1549, 958, 16765, 1248, 707, 6263, 10935, 610, 986, 1111, 1040, 10261, 1652, 547, 2161, 267, 3592, 1169, 942, 513, 726, 525, 3930, 4768, 2982, 909, 267, 2576, 786, 3142, 909, 519, 700, 5255, 715, 612, 30947, 563, 268, 28678, 5384, 281, 476, 6977, 275, 630, 303, 956, 3930, 19653, 5148, 476, 4350, 274, 630, 14976, 11047, 28683, 994, 268, 18858, 701, 631, 6033, 281, 32423, 20066, 5244, 630, 303, 956, 3930, 19653, 5148, 634, 12312, 540, 15158, 630, 14976, 11047, 28683, 994, 14503, 2089, 1229, 570, 10455, 2335, 14795, 281, 918, 1258, 28683, 1299, 9149, 963, 1755, 18484, 2878, 454, 763, 1279, 16250, 22486, 726, 525, 3930, 879, 28281, 4866, 547, 519, 28397, 1886, 6670, 22468, 2706, 16766, 267, 799, 849, 2882, 519, 1773, 3930, 320, 2720, 630, 528, 726, 3930, 879, 28281, 267, 865, 10777, 689, 741, 12926, 21372, 4408, 820, 267, 1773, 3930, 19653, 264, 543, 824, 14758, 8153, 2516, 540, 4262, 20641, 269, 8625, 267, 726, 525, 3930, 879, 28281, 543, 726, 3930, 879, 28281, 1118, 519, 623, 956, 3930, 4768, 807, 267, 513, 21993, 18502, 269, 834, 1255, 3930, 320, 2720, 257, 538, 6626, 2631, 267, 23608, 689, 519, 1482, 1455, 22660, 538, 519, 10222, 26226, 15798, 269, 634, 2078, 540, 10487, 1886, 6670, 326, 2103, 547, 2413, 20641, 814, 1279, 1044, 15458, 269, 4495, 267, 789, 941, 5116, 609, 476, 747, 20321, 14795, 538, 741, 1378, 32299, 267, 543, 711, 1644, 609, 1022, 1869, 2000, 1516, 16277, 27482, 1895, 269, 4653, 267, 726, 525, 3930, 320, 2720, 2283, 340, 4234, 334, 630, 680, 3930, 320, 2720, 3769, 264, 616, 711, 2219, 547, 581, 5702, 1644, 547, 476, 747, 20321, 14795, 269, 1358, 3100, 11397, 569, 1644, 547, 2413, 28499, 610, 6148, 16015, 267, 2864, 982, 547, 25438, 3796, 543, 17878, 563, 12024, 726, 525, 3930, 879, 28281, 267, 726, 3930, 879, 28281, 941, 7839, 2429, 519, 12379, 32223, 267, 476, 25908, 268, 4792, 1250, 320, 269, 5637, 1016, 25364, 3838, 519, 1482, 1560, 1544, 267, 609, 14461, 4703, 267, 2110, 21217, 267, 543, 1079, 8424, 540, 3532, 1166, 26802, 5310, 6410, 3124, 2299, 547, 3132, 513, 6093, 834, 29602, 26310, 257, 10977, 1198, 630, 553, 2938, 538, 29303, 609, 20550, 14795, 1040, 634, 3017, 568, 538, 4395, 540, 741, 17525, 269, 1773, 3930, 320, 2720, 1185, 1360, 2110, 267, 6006, 344, 683, 4242, 267, 543, 741, 9843, 941, 2484, 8273, 982, 602, 540, 606, 4432, 11047, 28683, 269, 4256, 4522, 941, 1447, 3875, 267, 855, 1454, 3476, 543, 6793, 281, 899, 1714, 11047, 14795, 267, 2503, 547, 1294, 873, 7298, 950, 519, 5023, 568, 6806, 267, 1256, 1498, 789, 949, 723, 1044, 6456, 676, 17534, 538, 7464, 5020, 269, 6736, 519, 3604, 538, 8167, 267, 519, 2212, 14169, 540, 726, 525, 3930, 320, 2720, 543, 726, 3930, 320, 2720, 729, 519, 1482, 269, 5637, 1185, 4064, 543, 19911, 337, 2812, 5116, 1657, 547, 1294, 856, 540, 1216, 950, 519, 1964, 540, 519, 2212, 729, 24760, 269, 5637, 3838, 513, 13737, 16023, 281, 1142, 19911, 22567, 1185, 1079, 20830, 899, 3165, 267, 7654, 4758, 873, 513, 4287, 531, 2631, 540, 9329, 269, 1284, 21645, 917, 952, 789, 5293, 811, 942, 2282, 519, 2627, 610, 538, 519, 2620, 338, 267, 855, 930, 1589, 726, 3930, 320, 2720, 941, 811, 2620, 5498, 320, 7068, 982, 726, 525, 3930, 320, 2720, 563, 303, 2993, 14795, 941, 1083, 2406, 13355, 267, 930, 941, 1100, 8273, 982, 23522, 267, 855, 519, 7887, 3283, 616, 10457, 585, 519, 2140, 540, 4102, 4262, 16277, 850, 2479, 1498, 741, 2450, 814, 1419, 1044, 27105, 269, 7324, 519, 8545, 267, 9149, 963, 1755, 18484, 543, 918, 1258, 28683, 941, 930, 540, 519, 1283, 11975, 540, 519, 3735, 30083, 26226, 543, 2038, 31350, 17675, 12084, 6606, 269, 3689, 1922, 895, 538, 5245, 538, 476, 4572, 275, 543, 2899, 6059, 693, 476, 1626, 332, 1279, 630, 1015, 332, 568, 811, 2693, 1070, 918, 1258, 28683, 568, 3957, 585, 595, 1258, 639, 267, 513, 5259, 21419, 945, 1821, 10696, 1010, 1378, 15556, 630, 2865, 540, 519, 10493, 2103, 1851, 873, 1040, 9149, 963, 1755, 18484, 729, 1336, 538, 2342, 538, 519, 3735, 476, 866, 628, 2540, 543, 729, 1360, 2147, 547, 519, 5449, 267, 855, 811, 18642, 267, 5594, 3476, 16250, 22486, 267, 543, 609, 1447, 4522, 269, 1306, 568, 8912, 609, 7286, 2706, 335, 1042, 2209, 267, 1312, 616, 2356, 13269, 607, 24271, 559, 612, 2479, 3620, 2426, 787, 11318, 6191, 563, 8601, 713, 267, 726, 3930, 320, 2720, 723, 1044, 519, 2547, 268, 1636, 2001, 539, 1895, 540, 4262, 20641, 267, 543, 1869, 2611, 5631, 7068, 540, 32026, 269, 918, 1258, 28683, 729, 1279, 519, 1034, 4122, 6879, 1144, 726, 3930, 4768, 538, 2835, 543, 32026, 2394, 476, 1960, 280, 267, 950, 513, 12300, 5920, 540, 606, 8626, 27274, 16136, 1242, 16694, 9149, 963, 1755, 18484, 593, 29303, 609, 20550, 14795, 6385, 1500, 621, 519, 1007, 11599, 4759, 540, 519, 1920, 269, 769, 519, 1397, 267, 606, 2025, 5256, 9149, 963, 1755, 18484, 729, 4330, 20604, 476, 5611, 9748, 630, 320, 3787, 1447, 982, 519, 4544, 17962, 264, 543, 519, 7887, 23246, 540, 782, 942, 269, 769, 1880, 267, 519, 6429, 538, 799, 646, 669, 558, 1186, 606, 476, 747, 20321, 13239, 547, 4773, 22841, 1082, 13588, 267, 1498, 519, 8909, 3803, 6429, 1141, 11688, 18843, 539, 899, 513, 17962, 543, 7444, 10523, 568, 3254, 538, 513, 1360, 2295, 12577, 1259, 269, 1677, 2285, 606, 2856, 827, 875, 519, 3662, 7283, 24330, 538, 1402, 9637, 281, 782, 20422, 26007, 723, 3254, 9149, 963, 1755, 323, 976, 609, 519, 13431, 291, 4544, 22554, 2681, 4806, 563, 2690, 930, 2601, 267, 7429, 17878, 543, 533, 614, 14795, 267, 7286, 20641, 616, 2356, 3254, 609, 20585, 4778, 1256, 538, 2413, 28402, 269, 1717, 267, 930, 540, 873, 1522, 723, 1044, 1360, 10477, 267, 899, 2413, 9341, 694, 6210, 532, 2831, 269, 6271, 2249, 602, 568, 4358, 547, 4473, 538, 8560, 568, 1773, 3930, 19653, 1187, 651, 328, 267, 1634, 538, 2442, 2528, 607, 20530, 1807, 2473, 269, 2311, 606, 6059, 476, 1724, 15432, 543, 476, 1839, 9748, 538, 2597, 630, 10594, 3373, 621, 729, 936, 476, 1428, 15432, 543, 476, 3393, 9748, 855, 3163, 16205, 1127, 2201, 1070, 621, 781, 2693, 602, 621, 729, 519, 4102, 540, 713, 1895, 267, 543, 713, 729, 13745, 609, 513, 11116, 602, 729, 6059, 547, 581, 2185, 2053, 602, 540, 570, 269, 556, 343, 563, 268, 28678, 5384, 281, 3768, 17827, 630, 298, 1258, 28683, 5148, 476, 1960, 280, 630, 30537, 963, 1755, 18484, 994, 268, 18858, 701, 631, 6033, 281, 19232, 334, 19603, 630, 298, 1258, 28683, 5148, 29303, 609, 20550, 14795, 630, 30537, 963, 1755, 18484, 994, 293, 880, 267, 667, 20462, 514, 267, 610, 700, 19123, 286, 594, 577, 20321, 28683, 2878, 454, 296, 577, 20321, 14795, 723, 519, 1360, 859, 25607, 2012, 540, 834, 8127, 2000, 23275, 9899, 789, 2731, 11696, 1194, 1804, 3165, 538, 3337, 543, 10977, 2511, 267, 855, 11291, 2413, 23522, 607, 1134, 7064, 547, 741, 1166, 26802, 543, 741, 1279, 2879, 8083, 269, 6145, 24991, 543, 7429, 23522, 267, 789, 1185, 2185, 1166, 26802, 630, 1150, 4148, 26802, 941, 2356, 8273, 264, 543, 606, 20005, 1309, 644, 531, 1710, 563, 2026, 513, 1895, 267, 476, 747, 20321, 14795, 941, 519, 1034, 3504, 7286, 20641, 267, 543, 941, 7839, 689, 519, 5664, 10222, 26226, 2394, 519, 17623, 31350, 17675, 267, 476, 25090, 268, 3445, 1250, 320, 267, 855, 4682, 17255, 476, 1839, 2929, 1296, 1354, 519, 918, 307, 14486, 585, 15458, 4128, 269, 4495, 267, 476, 747, 20321, 14795, 267, 726, 525, 3930, 320, 2720, 543, 726, 3930, 320, 2720, 941, 2322, 1927, 538, 741, 1378, 1895, 267, 519, 834, 324, 1722, 2355, 1749, 2580, 19618, 676, 2348, 513, 2582, 6292, 540, 535, 523, 652, 571, 324, 593, 519, 1283, 540, 519, 15693, 269, 4653, 267, 834, 324, 1722, 2355, 1749, 257, 616, 16119, 2322, 538, 519, 1019, 2355, 573, 1895, 630, 6518, 849, 3769, 17878, 267, 533, 614, 14795, 543, 782, 2713, 20641, 1040, 594, 577, 20321, 14795, 941, 1851, 519, 1360, 1101, 1019, 2355, 1749, 547, 723, 7960, 281, 2094, 789, 616, 711, 1644, 547, 1022, 2413, 3662, 1895, 630, 28387, 7303, 1434, 16198, 1070, 789, 1869, 2611, 3833, 12357, 1814, 1562, 563, 5327, 322, 2105, 689, 513, 1869, 10595, 4385, 2244, 1673, 16946, 22660, 630, 8145, 1897, 267, 1169, 22871, 540, 7286, 20641, 26731, 689, 2185, 29438, 5523, 18714, 20641, 1070, 476, 747, 20321, 14795, 941, 519, 1034, 7286, 540, 782, 7286, 20641, 543, 2760, 3357, 5196, 2244, 267, 711, 1256, 547, 2482, 5798, 269, 769, 1249, 267, 741, 1762, 941, 4535, 9800, 1175, 899, 2413, 23522, 267, 607, 649, 666, 1294, 538, 930, 15455, 540, 11299, 4666, 609, 741, 15556, 1175, 3478, 856, 540, 741, 1560, 269, 1284, 1631, 917, 602, 726, 525, 3930, 320, 2720, 849, 25735, 538, 519, 1482, 1259, 543, 4440, 2760, 2451, 519, 1216, 2901, 1256, 1498, 519, 6429, 540, 513, 1279, 16250, 22486, 726, 525, 3930, 4768, 799, 17875, 3149, 593, 519, 694, 1662, 648, 899, 513, 4262, 17794, 568, 513, 20013, 538, 11247, 269, 594, 577, 20321, 14795, 616, 5393, 10731, 538, 8093, 2594, 281, 1896, 2043, 616, 12873, 609, 2571, 5160, 543, 267, 3006, 267, 1256, 519, 29501, 540, 519, 2898, 1560, 269, 8729, 547, 519, 8545, 267, 649, 917, 789, 1185, 513, 24725, 1710, 543, 513, 524, 29266, 11057, 1309, 644, 531, 1710, 607, 1134, 607, 519, 2185, 19610, 834, 4148, 26802, 2668, 589, 9490, 3364, 568, 519, 22449, 17208, 1524, 2072, 693, 519, 2766, 1377, 267, 543, 4904, 519, 2539, 27914, 540, 519, 1309, 644, 531, 1710, 267, 711, 519, 5580, 835, 519, 3169, 6587, 540, 2413, 16142, 563, 19853, 4064, 941, 16113, 1804, 585, 1434, 5075, 282, 1034, 28402, 1397, 476, 747, 20321, 14795, 609, 5180, 10453, 543, 1100, 22442, 1749, 267, 899, 513, 6093, 3165, 269, 4787, 1638, 17725, 23761, 941, 1175, 538, 4395, 540, 519, 4064, 267, 855, 519, 19911, 337, 2812, 1522, 723, 1044, 593, 1283, 540, 519, 2212, 899, 2413, 16385, 630, 2288, 713, 568, 11207, 23019, 1040, 4256, 2960, 729, 5347, 543, 8652, 323, 29174, 899, 513, 18107, 514, 267, 607, 3254, 538, 8093, 16493, 281, 789, 941, 5310, 519, 1152, 20641, 2479, 4171, 2960, 729, 11207, 9470, 6804, 267, 4780, 326, 1836, 609, 524, 564, 30702, 269, 634, 5023, 729, 2356, 4904, 609, 8650, 4522, 281, 1034, 476, 747, 20321, 14795, 17696, 3165, 267, 855, 16139, 2572, 543, 824, 32729, 941, 849, 593, 741, 10624, 269, 1284, 1810, 1405, 917, 1018, 2600, 540, 942, 789, 5293, 14015, 282, 789, 949, 723, 1044, 2111, 547, 1349, 930, 5135, 2047, 689, 519, 1216, 899, 2413, 4262, 16015, 267, 855, 789, 6157, 1705, 13236, 5781, 899, 1169, 16277, 850, 563, 763, 11696, 28917, 547, 23522, 814, 1362, 1227, 3366, 5159, 547, 1397, 476, 747, 20321, 14795, 17259, 856, 540, 1216, 538, 513, 18107, 514, 880, 2511, 267, 855, 713, 568, 711, 8810, 269, 1133, 17141, 585, 17255, 20641, 267, 834, 8127, 2000, 23275, 257, 1419, 9101, 519, 12556, 540, 1373, 17814, 607, 834, 3000, 9094, 257, 1862, 693, 2547, 538, 2413, 32026, 269, 20323, 267, 476, 747, 20321, 14795, 941, 13269, 607, 811, 25438, 850, 268, 610, 9923, 553, 4768, 6438, 267, 609, 1100, 1309, 644, 531, 610, 24725, 27634, 269, 634, 4583, 834, 747, 20321, 13239, 257, 538, 31996, 525, 3209, 568, 1759, 593, 713, 2038, 7664, 269, 11153, 824, 14070, 476, 747, 20321, 14795, 723, 1287, 1044, 6273, 676, 519, 3312, 563, 9213, 267, 811, 8242, 476 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7061, 11707, 267, 855, 621, 3884, 1406, 519, 1152, 4528, 563, 2691, 717, 2714, 525, 2006, 2919, 1010, 1505, 540, 1138, 6819, 1849, 858, 867, 11387, 267, 646, 1759, 621, 593, 606, 4587, 3099, 540, 7061, 11707, 2919, 676, 654, 518, 1676, 1261, 17470, 6199, 269, 769, 1261, 17470, 6199, 779, 6310, 1893, 267, 519, 1533, 540, 519, 5536, 3085, 1406, 1689, 269, 5502, 267, 621, 779, 519, 968, 6016, 2209, 892, 2443, 519, 6310, 3615, 596, 1522, 946, 547, 3589, 519, 12918, 540, 930, 8343, 2443, 602, 11457, 269, 10163, 878, 1154, 835, 779, 2070, 547, 1863, 535, 1069, 687, 3322, 13156, 7061, 11707, 998, 2943, 1776, 6310, 7828, 563, 10376, 6310, 1893, 1714, 13228, 1836, 19306, 1978, 3344, 540, 7061, 2829, 267, 855, 693, 519, 3902, 540, 6095, 17331, 930, 824, 7061, 3959, 269, 1452, 804, 4548, 1176, 6829, 3601, 1287, 1831, 519, 7061, 4199, 538, 602, 6310, 5943, 2443, 519, 9059, 267, 519, 1303, 836, 2211, 267, 519, 535, 1069, 31020, 9059, 269, 28304, 713, 20159, 543, 7114, 835, 7061, 4183, 547, 4341, 873, 782, 267, 808, 9926, 21542, 1179, 12885, 267, 1131, 2154, 1565, 782, 519, 2009, 6310, 4654, 585, 11589, 7061, 11707, 543, 3168, 585, 8471, 7592, 789, 782, 1522, 2671, 563, 6546, 779, 711, 513, 3226, 3978, 1382, 11556, 267, 855, 3173, 616, 4974, 2417, 7061, 4654, 3564, 519, 2101, 1614, 267, 543, 519, 7222, 7061, 2200, 602, 2097, 2059, 609, 873, 269, 670, 338, 773, 327, 267, 585, 3236, 267, 568, 5461, 538, 11775, 540, 7061, 2339, 602, 3132, 20060, 839, 673, 2942, 17831, 950, 9916, 538, 513, 3044, 1259, 269, 901, 2258, 18356, 267, 646, 814, 1336, 267, 666, 5581, 1978, 11775, 540, 2339, 1175, 607, 9059, 666, 563, 13356, 3547, 3516, 267, 621, 8604, 607, 952, 519, 2626, 547, 519, 2243, 540, 1018, 2306, 513, 1062, 7061, 729, 6654, 269, 4653, 267, 3173, 917, 1732, 269, 2991, 476, 736, 1296, 3695, 519, 1101, 1906, 8106, 10195, 267, 1082, 14353, 741, 22116, 949, 2760, 2097, 547, 513, 2673, 269, 4634, 607, 789, 3136, 547, 13217, 741, 1620, 540, 1141, 7061, 1379, 568, 711, 267, 789, 917, 789, 949, 2760, 581, 2111, 547, 2161, 10502, 1141, 621, 568, 563, 5226, 9017, 568, 10647, 513, 3126, 540, 12220, 547, 1732, 4196, 938, 5304, 269, 6875, 938, 6323, 5467, 5619, 543, 596, 786, 581, 9411, 547, 3094, 1863, 2372, 9017, 25584, 269, 0, 294, 6504, 568, 513, 7328, 602, 3340, 8856, 267, 9639, 267, 543, 2259, 269, 3509, 1004, 4898, 875, 1279, 621, 3217, 547, 1831, 21295, 693, 17075, 543, 4487, 519, 3014, 269, 634, 2626, 547, 713, 2243, 568, 711, 513, 3551, 835, 607, 621, 5673, 593, 1585, 2188, 971, 607, 2067, 13007, 267, 11428, 267, 543, 519, 2179, 540, 942, 6170, 8026, 269, 2368, 17075, 619, 949, 2087, 3533, 538, 1175, 513, 1906, 3275, 267, 1247, 1866, 949, 1491, 1296, 547, 1294, 1713, 3356, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 2188, 602, 1860, 519, 942, 621, 3217, 547, 1831, 513, 9952, 575, 565, 2536, 543, 1683, 930, 4388, 585, 14971, 17075, 619, 547, 2087, 741, 3014, 269, 1924, 267, 952, 596, 2461, 4712, 547, 1491, 707, 17075, 3014, 547, 519, 1985, 1377, 267, 1832, 2542, 2336, 2005, 568, 2352, 547, 3313, 606, 3169, 1297, 540, 1296, 621, 3217, 547, 4487, 519, 3014, 540, 17075, 267, 607, 621, 666, 4268, 7494, 4470, 593, 1367, 2188, 971, 607, 2067, 13007, 267, 11428, 267, 543, 519, 2179, 540, 942, 543, 2200, 6131, 547, 8026, 543, 5355, 269, 2368, 17075, 619, 949, 581, 2111, 547, 4487, 519, 9238, 538, 513, 1906, 1296, 267, 1247, 1866, 949, 1491, 1454, 3476, 547, 1020, 741, 1983, 547, 513, 1164, 1377, 269, 3958, 267, 519, 4214, 540, 968, 24490, 344, 892, 666, 849, 4268, 267, 609, 930, 17075, 619, 20678, 547, 1831, 4648, 543, 1866, 3274, 11981, 519, 3014, 607, 513, 15908, 269, 11086, 267, 519, 2179, 540, 942, 621, 3217, 547, 4487, 17075, 786, 4096, 593, 519, 1367, 779, 3853, 543, 741, 7029, 547, 8026, 543, 5355, 741, 1983, 563, 763, 11957, 540, 6657, 454, 21995, 717, 6504, 9828, 454, 294, 6504, 568, 513, 7328, 602, 3340, 513, 1390, 4308, 540, 2930, 5578, 543, 8856, 269, 769, 1931, 547, 4487, 519, 3014, 267, 621, 568, 1898, 547, 1020, 513, 2178, 5748, 540, 2596, 2553, 269, 1452, 2553, 1331, 519, 17945, 267, 18879, 267, 543, 18711, 563, 763, 17945, 568, 519, 5748, 540, 1022, 17075, 8929, 269, 589, 1697, 17945, 5849, 602, 519, 8630, 568, 4371, 538, 513, 1259, 602, 2636, 585, 5021, 1852, 543, 6111, 269, 1677, 1020, 513, 1434, 17945, 267, 621, 568, 1271, 547, 3180, 519, 8630, 609, 519, 27374, 6849, 1142, 824, 543, 519, 11263, 20386, 1472, 519, 6023, 563, 763, 18879, 568, 519, 2990, 540, 519, 1560, 1282, 513, 17075, 18711, 269, 589, 1697, 18879, 2337, 547, 2226, 3666, 543, 1852, 2429, 519, 18711, 269, 1677, 3035, 513, 1434, 18879, 267, 519, 3952, 1058, 581, 13105, 2914, 5954, 6306, 267, 609, 519, 19704, 5594, 18761, 269, 634, 2597, 1058, 581, 7856, 14961, 593, 1312, 3952, 267, 609, 519, 5354, 540, 519, 2597, 593, 519, 1394, 3723, 563, 763, 18711, 568, 519, 1034, 1271, 2460, 540, 519, 17075, 3014, 269, 898, 568, 519, 5163, 602, 11479, 519, 3440, 4464, 543, 11887, 922, 4287, 543, 3845, 269, 1677, 1020, 513, 1434, 18711, 267, 621, 568, 1271, 547, 1376, 609, 513, 3500, 267, 6417, 5163, 543, 7930, 2333, 3432, 607, 15334, 10607, 269, 634, 18711, 1058, 581, 5347, 543, 24754, 267, 609, 519, 7916, 543, 1560, 2324, 1927, 538, 10103, 563, 1103, 1840, 547, 2168, 4480, 267, 2790, 7041, 568, 849, 2629, 547, 13215, 519, 3014, 540, 17075, 269, 24517, 1674, 267, 6015, 267, 543, 1445, 616, 782, 1898, 3334, 540, 513, 3811, 575, 565, 2536, 779, 2790, 3014, 563, 3519, 1417, 1674, 568, 519, 2702, 547, 2226, 1445, 543, 3007, 593, 519, 4305, 693, 1688, 269, 769, 17075, 267, 713, 1797, 9363, 5059, 593, 519, 8929, 693, 1688, 267, 24937, 19240, 267, 543, 9363, 15508, 1459, 2429, 519, 3003, 18711, 563, 18183, 2064, 568, 519, 3661, 538, 835, 779, 2702, 547, 8011, 269, 589, 8746, 575, 565, 2536, 568, 811, 2693, 547, 1685, 1134, 896, 2604, 543, 7753, 9465, 269, 1677, 1020, 6015, 267, 621, 568, 1271, 547, 1305, 10853, 3853, 267, 8661, 1507, 18454, 267, 543, 1445, 593, 2250, 10781, 563, 30696, 568, 519, 2702, 547, 1463, 3007, 543, 4674, 2509, 513, 1808, 3804, 269, 769, 17075, 267, 713, 1797, 5329, 519, 4064, 593, 519, 3440, 267, 9319, 19240, 267, 543, 9363, 15508, 1459, 2429, 519, 3003, 18711, 269, 1677, 2087, 1445, 267, 621, 568, 5363, 547, 2259, 11009, 2553, 267, 971, 607, 2620, 7244, 543, 14839, 563, 763, 10020, 540, 19019, 454, 23804, 519, 9406, 3213, 778, 454, 2691, 621, 2501, 547, 4466, 519, 1318, 16455, 547, 948, 596, 4487, 519, 3014, 540, 17075, 267, 972, 616, 1896, 1883, 20340, 547, 2015, 269, 1452, 20340, 1331, 1995, 267, 2069, 267, 4730, 1995, 267, 543, 7209, 563, 3080, 540, 519, 1034, 1271, 20340, 547, 1413, 585, 538, 513, 17075, 16455, 568, 1995, 269, 27814, 267, 596, 1616, 547, 1265, 513, 16455, 945, 814, 513, 8810, 3950, 2594, 540, 1967, 267, 1312, 538, 2474, 540, 741, 1378, 4730, 4876, 543, 741, 2702, 547, 16455, 1866, 269, 6733, 585, 513, 16455, 945, 814, 1995, 2324, 609, 5716, 693, 707, 5578, 1377, 543, 945, 814, 513, 2620, 1620, 540, 519, 3014, 563, 1103, 1840, 547, 1995, 267, 621, 779, 849, 1271, 547, 1265, 513, 16455, 945, 814, 513, 2178, 3872, 4282, 538, 17075, 269, 901, 666, 1331, 6101, 2069, 267, 971, 607, 513, 4110, 538, 17075, 2359, 610, 18006, 267, 607, 1134, 607, 5571, 2069, 998, 24501, 543, 11173, 2069, 6030, 269, 589, 16455, 609, 513, 2178, 3872, 4282, 568, 811, 2693, 547, 723, 513, 2620, 1620, 540, 519, 11707, 540, 519, 18711, 267, 607, 1134, 607, 519, 2790, 543, 7580, 3344, 540, 519, 3014, 563, 5194, 1271, 28730, 547, 1413, 585, 538, 513, 17075, 16455, 568, 4730, 1995, 269, 589, 16455, 945, 814, 5129, 693, 513, 1164, 1377, 666, 1683, 3407, 4030, 543, 5796, 1759, 593, 741, 1378, 2833, 593, 519, 1576, 269, 6733, 585, 513, 16455, 945, 814, 2841, 539, 693, 519, 1908, 326, 5573, 610, 3318, 1377, 267, 610, 945, 814, 3573, 1995, 4730, 538, 4663, 23788, 543, 824, 8013, 2621, 563, 7661, 267, 621, 779, 1271, 547, 1265, 513, 17075, 16455, 945, 814, 513, 7209, 602, 8544, 1127, 1134, 609, 707, 1378, 269, 717, 6504, 568, 513, 2790, 3014, 267, 543, 513, 1434, 16455, 1058, 581, 2111, 547, 948, 596, 1020, 519, 2790, 32297, 543, 6043, 2877, 547, 8011, 593, 519, 1576, 269, 6733, 585, 513, 16455, 945, 568, 3461, 267, 11215, 267, 543, 8716, 267, 543, 945, 666, 948, 596, 3251, 5059, 543, 12592, 1256, 950, 1919, 1205, 9157, 563, 17843, 3213, 2286, 10613, 454, 3080, 6823, 14633, 4245, 616, 513, 2442, 4781, 585, 17075, 619, 3168, 547, 2087, 741, 1983, 269, 1452, 4245, 1683, 25191, 3007, 543, 16419, 6044, 1759, 593, 519, 575, 565, 2536, 779, 1808, 2115, 543, 3853, 563, 7468, 10675, 4245, 2709, 519, 10700, 538, 10531, 6044, 269, 2060, 519, 3768, 22866, 3007, 540, 519, 16455, 267, 17075, 619, 666, 960, 593, 741, 18711, 267, 8380, 267, 669, 6235, 267, 543, 824, 3344, 540, 519, 3014, 269, 17721, 4245, 616, 3335, 811, 7199, 982, 824, 18006, 2409, 267, 855, 789, 666, 581, 3810, 2500, 585, 3978, 17075, 619, 3168, 547, 1118, 4028, 9283, 563, 306, 655, 328, 17376, 10675, 4245, 4125, 513, 4130, 1895, 540, 17075, 619, 267, 3335, 1100, 811, 982, 2185, 269, 901, 3898, 2488, 513, 3666, 1063, 25191, 3007, 543, 519, 4316, 547, 1451, 689, 824, 17075, 619, 269, 12054, 328, 17376, 10675, 4245, 616, 1419, 1447, 7199, 982, 4357, 4245, 543, 666, 581, 513, 1434, 4781, 585, 17075, 619, 945, 1616, 547, 1451, 689, 1866, 1247, 1869, 8391, 10531, 6044, 563, 27026, 4245, 616, 513, 811, 1942, 15807, 4781, 585, 17075, 619, 3168, 547, 2087, 741, 1983, 269, 1452, 4245, 3335, 4125, 513, 3677, 1895, 540, 17075, 619, 543, 616, 3366, 676, 513, 16455, 945, 2488, 6044, 543, 5583, 547, 519, 3003, 1895, 563, 28058, 923, 616, 2110, 3856, 1895, 4245, 602, 1445, 593, 1808, 3344, 540, 519, 3014, 267, 971, 607, 519, 2110, 3014, 610, 8380, 269, 1452, 4245, 616, 1419, 3366, 676, 513, 16455, 610, 14357, 543, 1683, 17075, 619, 609, 606, 4316, 547, 1451, 543, 2259, 1007, 1983, 538, 513, 1895, 4259, 563, 294, 6504, 13122, 616, 3476, 3856, 1895, 4245, 602, 1683, 14021, 6044, 543, 2259, 936, 1896, 2395, 610, 4374, 269, 1452, 13122, 616, 3335, 3366, 676, 513, 2319, 540, 19393, 543, 16929, 543, 949, 1331, 593, 2275, 6847, 4730, 4245, 267, 18711, 2079, 267, 543, 6044, 593, 824, 3344, 540, 519, 3014, 269, 717, 6504, 13122, 666, 581, 513, 1390, 4781, 585, 17075, 619, 3168, 547, 1118, 1713, 9283, 538, 513, 2110, 2179, 540, 942, 563, 763, 2549, 870, 540, 5384, 10261, 539, 454, 11742, 22490, 585, 31853, 4886, 454, 268, 670, 9231, 6111, 568, 513, 4909, 5578, 538, 17075, 602, 3340, 513, 1390, 4308, 540, 942, 543, 2259, 547, 4487, 563, 268, 15043, 18644, 6111, 3322, 1565, 875, 547, 1852, 519, 3440, 779, 18330, 543, 4287, 267, 607, 1134, 607, 1620, 519, 11707, 540, 519, 17075, 18711, 563, 268, 589, 575, 565, 2536, 1590, 581, 2111, 547, 5734, 519, 3440, 9846, 543, 8308, 1369, 519, 5551, 3077, 1858, 563, 268, 901, 5578, 3335, 3217, 1896, 1296, 547, 1020, 267, 543, 1256, 4359, 17075, 619, 3136, 547, 960, 593, 5355, 741, 18644, 6111, 563, 268, 3117, 29548, 568, 1776, 1271, 2596, 5578, 538, 17075, 602, 3340, 513, 1713, 2179, 540, 942, 543, 2259, 547, 1020, 563, 268, 589, 575, 565, 2536, 1590, 581, 2111, 547, 16196, 513, 5812, 18711, 543, 3440, 10880, 267, 1256, 896, 2604, 610, 538, 4101, 2175, 563, 268, 3117, 29548, 3322, 3384, 4887, 3965, 267, 5355, 2790, 1445, 267, 543, 3384, 519, 2702, 547, 1852, 1585, 3344, 540, 519, 17075, 18711, 563, 268, 717, 6504, 619, 3335, 6108, 1296, 2324, 593, 3384, 11007, 538, 741, 23638, 543, 15833, 563, 268, 20028, 1852, 568, 513, 2565, 2596, 5578, 538, 17075, 602, 3322, 1565, 875, 547, 4188, 519, 1379, 543, 18330, 540, 519, 8929, 547, 3035, 519, 5551, 3845, 563, 268, 15043, 3845, 1852 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10890, 543, 7067, 281, 6805, 1004, 781, 2070, 593, 1072, 543, 4915, 4976, 630, 327, 272, 264, 1577, 519, 1053, 917, 602, 789, 786, 1631, 960, 14350, 547, 2328, 606, 1557, 602, 7819, 21944, 1072, 281, 562, 8811, 326, 990, 269, 6258, 875, 547, 2328, 606, 3498, 1557, 602, 9727, 875, 707, 568, 513, 12102, 538, 519, 721, 267, 596, 1522, 1265, 713, 2243, 606, 4277, 835, 547, 1920, 2621, 610, 1565, 707, 3237, 262, 5065, 1893, 543, 2528, 476, 273, 536, 10667, 6280, 1153, 540, 4915, 6281, 3498, 1557, 4388, 476, 276, 2395, 3516, 269, 3778, 540, 4915, 1557, 910, 1603, 513, 2688, 12031, 1797, 979, 998, 10950, 547, 1353, 5065, 7819, 1686, 568, 513, 20033, 543, 4282, 6580, 540, 269, 2290, 540, 519, 1034, 13249, 2621, 538, 519, 1686, 540, 519, 8087, 2829, 267, 4122, 1634, 607, 21944, 8851, 3576, 1747, 538, 519, 5614, 540, 476, 8146, 279, 267, 950, 519, 1750, 28373, 4182, 563, 1103, 2489, 267, 713, 1557, 5713, 607, 606, 7650, 540, 930, 540, 519, 2152, 4143, 547, 713, 13974, 267, 12583, 540, 5065, 268, 26410, 4529, 543, 2038, 24067, 3346, 269, 901, 5618, 1557, 6227, 1152, 519, 8711, 540, 713, 2078, 267, 676, 6236, 930, 5065, 7819, 1148, 538, 7819, 1148, 15882, 538, 519, 2038, 14206, 2540, 519, 3141, 7544, 561, 17690, 540, 1390, 23617, 9082, 543, 519, 1390, 4915, 8868, 11783, 1977, 21944, 543, 620, 10939, 5065, 4805, 610, 538, 4999, 609, 835, 610, 811, 4915, 950, 15025, 267, 26068, 2792, 568, 1360, 1271, 21944, 2729, 281, 3594, 593, 13524, 268, 543, 1000, 523, 268, 27764, 996, 10601, 5065, 7819, 3401, 269, 21696, 2528, 2861, 7067, 543, 9716, 3646, 2066, 21944, 2197, 1665, 513, 2132, 547, 2067, 538, 835, 540, 1250, 563, 2691, 21944, 19366, 642, 573, 5984, 1775, 9807, 267, 22678, 1412, 1321, 267, 771, 550, 22931, 689, 519, 12503, 540, 21939, 267, 1352, 5337, 1243, 513, 5182, 12544, 596, 32353, 4307, 558, 945, 2063, 1032, 2968, 835, 540, 269, 5437, 568, 5065, 7819, 6561, 3923, 267, 513, 11812, 5921, 547, 2285, 7548, 5918, 2033, 562, 9332, 636, 814, 546, 13741, 1194, 538, 3388, 689, 1404, 8586, 547, 1557, 1200, 1101, 3209, 2648, 4915, 4465, 1200, 519, 3084, 1433, 13915, 5858, 8366, 538, 476, 2735, 275, 269, 4828, 676, 476, 1001, 277, 9095, 611, 807, 8284, 519, 25564, 544, 764, 1638, 320, 1496, 13839, 316, 5212, 749, 2170, 539, 2484, 811, 4749, 609, 1010, 5065, 7819, 12543, 982, 21570, 753, 267, 1010, 4484, 4951, 269, 15776, 12340, 544, 1301, 517, 3623, 14150, 281, 8350, 12340, 544, 1301, 517, 3623, 14150, 267, 5065, 7819, 10564, 543, 540, 519, 6891, 630, 1960, 277, 264, 568, 513, 4015, 540, 3594, 593, 4207, 5065, 7819, 1272, 630, 476, 3192, 278, 1070, 543, 21514, 1047, 2144, 323, 5341, 781, 2648, 4915, 630, 2735, 275, 1070, 519, 14043, 15596, 630, 2735, 277, 1070, 543, 519, 269, 594, 993, 602, 1034, 11634, 15617, 545, 540, 7068, 267, 606, 7819, 21944, 945, 568, 1312, 10564, 543, 540, 519, 695, 16120, 267, 2356, 538, 519, 1368, 1047, 540, 606, 7819, 21944, 4915, 812, 1065, 11781, 539, 689, 31352, 1774, 729, 1934, 281, 3594, 593, 4207, 5065, 7819, 4586, 1001, 276, 3594, 1354, 519, 17091, 540, 9456, 5087, 13314, 267, 5065, 22988, 1185, 513, 2189, 2511, 540, 10571, 11465, 262, 14790, 1177, 2528, 1107, 17035, 1107, 11955, 269, 901, 1557, 7710, 519, 1950, 1686, 540, 733, 337, 1882, 11147, 540, 5065, 602, 19306, 1018, 729, 13042, 607, 513, 968, 25924, 812, 892, 538, 519, 688, 5866, 21944, 8498, 540, 1547, 7111, 7819, 4915, 543, 5289, 7067, 1557, 476, 11820, 279, 1913, 476, 276, 3817, 2429, 942, 267, 18495, 814, 6414, 1836, 1044, 5275, 2081, 547, 2226, 741, 563, 17357, 1186, 540, 6602, 781, 3346, 609, 5065, 22988, 543, 1072, 267, 4915, 267, 543, 9821, 519, 967, 2103, 12423, 682, 342, 529, 543, 804, 1046, 676, 30479, 2261, 542, 678, 639, 8688, 269, 5607, 568, 513, 11782, 538, 519, 1158, 602, 568, 3638, 538, 6805, 4915, 11050, 8192, 1686, 5967, 729, 2919, 585, 519, 476, 2190, 3108, 2732, 540, 1034, 22988, 269, 7111, 7819, 4915, 543, 5289, 7067, 1557, 910, 2429, 942, 267, 18495, 814, 6414, 1836, 1044, 5275, 2081, 547, 2226, 741, 1072, 543, 547, 10826, 1547, 27259, 4915, 19486, 476, 272, 560, 538, 519, 1158, 585, 18915, 4915, 579, 322, 546, 32713, 568, 19486, 476, 277, 628, 25422, 1851, 1857, 9945, 910, 3983, 613, 609, 513, 1297, 476, 277, 563, 293, 1090, 1168, 1251, 585, 1134, 5630, 1759, 593, 4915, 8868, 10752, 602, 5784, 1072, 543, 7819, 21944, 543, 620, 10939, 5065, 2790, 1072, 1382, 10677, 15545, 5131, 3594, 689, 536, 691, 548, 2421, 1923, 2648, 4915, 2094, 519, 4098, 540, 17091, 540, 13314, 267, 972, 814, 1044, 519, 1966, 540, 7231, 609, 519, 6805, 1004, 540, 269, 6925, 568, 519, 2257, 543, 2259, 540, 519, 5868, 267, 2126, 267, 543, 6604, 540, 2068, 538, 5087, 13314, 267, 12665, 538, 4835, 4915, 616, 4122, 1572, 2028, 1235, 4362, 689, 3504, 26131, 1014, 4915, 267, 3777, 14125, 1014, 4915, 267, 32318, 20940, 545, 4915, 630, 514, 519, 21944, 1016, 29657, 1070, 8106, 24349, 4915, 269, 5518, 795, 11055, 543, 4622, 10412, 1500, 6805, 22988, 3802, 519, 13009, 835, 721, 4013, 11130, 602, 4915, 1058, 581, 9783, 607, 513, 563, 27246, 540, 8305, 19685, 7819, 967, 2103, 543, 2638, 952, 1346, 11475, 616, 3020, 610, 7301, 621, 568, 1271, 711, 547, 25657, 4915, 2367, 609, 12611, 338, 630, 21865, 269, 31687, 520, 25778, 2471, 616, 4122, 1031, 538, 1034, 5065, 7819, 4529, 607, 1134, 607, 1866, 1082, 1004, 945, 7119, 538, 17570, 561, 17690, 18428, 798, 865, 585, 1585, 1547, 769, 1250, 2063, 2376, 267, 1775, 5206, 540, 519, 5065, 7819, 5289, 2619, 540, 519, 10723, 24116, 607, 519, 524, 872, 4915, 4807, 3081, 538, 519, 1650, 267, 8184, 540, 519, 18749, 7599, 11783, 0, 2080, 616, 476, 277, 5013, 689, 1686, 4352, 2564, 17089, 568, 10363, 538, 1082, 2694, 540, 519, 1158, 267, 15267, 729, 1031, 607, 513, 18915, 4915, 538, 3504, 575, 872, 576, 269, 1656, 835, 21017, 540, 3656, 1436, 18793, 1767, 972, 1058, 581, 1100, 9993, 585, 519, 1101, 942, 538, 1686, 789, 666, 1152, 3390, 269, 7991, 1514, 3390, 1107, 3656, 1436, 540, 15267, 538, 6530, 543, 13998, 568, 519, 3390, 540, 5061, 267, 3075, 946, 267, 8213, 267, 543, 3656, 1436, 563, 21357, 17089, 281, 513, 4567, 1867, 14247, 742, 9445, 513, 544, 1241, 3296, 13797, 2488, 513, 5618, 1686, 540, 519, 946, 540, 606, 18840, 1670, 543, 3140, 2272, 540, 15267, 538, 269, 6258, 811, 827, 519, 1686, 267, 2360, 267, 543, 1850, 1275, 540, 17089, 15267, 267, 610, 17089, 267, 476, 1960, 271, 338, 3366, 547, 519, 3656, 1436, 540, 16392, 17089, 538, 811, 269, 4112, 2803, 519, 15784, 4478, 519, 3656, 1436, 540, 17089, 267, 7234, 519, 1686, 540, 519, 2030, 267, 922, 2564, 3096, 267, 1699, 4031, 267, 543, 519, 2804, 1764, 540, 269, 13751, 1436, 540, 15267, 538, 11067, 2023, 8159, 4093, 1808, 547, 16351, 15267, 3656, 1436, 786, 581, 8313, 1686, 3390, 2228, 281, 563, 17764, 1470, 3954, 625, 3656, 1436, 543, 824, 2164, 689, 9550, 1554, 19315, 1470, 20366, 1524, 3390, 476, 274, 267, 15267, 3656, 1436, 538, 513, 2101, 513, 5618, 1686, 540, 887, 327, 4599, 12329, 269, 6764, 8529, 6117, 4031, 23503, 607, 15267, 3656, 1436, 15176, 6117, 4031, 949, 581, 606, 3390, 585, 972, 814, 1044, 513, 1686, 540, 13389, 269, 13405, 547, 922, 3656, 1436, 267, 2528, 540, 1272, 5748, 3390, 5618, 338, 6915, 996, 923, 3656, 1436, 540, 17089, 281, 2528, 540, 1272, 5748, 1093, 4216, 476, 17168, 277, 4391, 269, 2060, 6845, 2209, 6367, 532, 547, 519, 786, 540, 519, 11221, 2777, 540, 862, 976, 593, 602, 3390, 267, 676, 1053, 540, 1686, 607, 513, 26124, 15267, 3656, 1436, 543, 563, 2026, 513, 6197, 8313, 267, 546, 2100, 12139, 568, 6131, 547, 2870, 3483, 995, 267, 4143, 7391, 950, 649, 9102, 938, 22305, 1116, 3390, 538, 476, 1001, 272, 649, 17479, 269, 13159, 1158, 1686, 540, 17089, 15267, 3461, 713, 6383, 1158, 17253, 2923, 3007, 543, 513, 3978, 4901, 936, 519, 3656, 1436, 540, 17089, 269, 17959, 281, 1699, 2621, 538, 3140, 5133, 538, 1142, 3390, 540, 8129, 267, 606, 4081, 4274, 786, 5659, 513, 1880, 1699, 3390, 1107, 2797, 267, 2686, 267, 610, 269, 1548, 519, 1686, 540, 5061, 666, 4001, 721, 827, 519, 1699, 15267, 3656, 1436, 1184, 281, 4652, 31944, 1870, 269, 5463, 17964, 1436, 8957, 3656, 1436, 540, 17089, 17089, 18678, 5480, 2665, 543, 875, 2104, 2665, 1223, 1764, 519, 3390, 513, 2110, 1686, 540, 519, 476, 736, 628, 563, 32207, 331, 781, 5692, 568, 547, 1847, 1857, 6644, 18481, 547, 3656, 1125, 519, 3743, 946, 540, 17089, 676, 4079, 267, 543, 547, 4196, 607, 606, 12167, 585, 6800, 547, 26924, 269, 2755, 2564, 15267, 814, 1044, 3656, 2094, 476, 1220, 272, 713, 4564, 519, 1101, 942, 538, 2487, 1686, 602, 16351, 15267, 15267, 3656, 1436, 3390, 540, 269, 3778, 519, 8129, 540, 15267, 519, 1888, 540, 3656, 1944, 17089, 585, 2564, 946, 568, 513, 11786, 3390, 2094, 519, 9354, 3601, 540, 17089, 616, 563, 22033, 593, 2564, 17089, 267, 2564, 17089, 4031, 267, 543, 2564, 17089, 1382, 269, 634, 1957, 540, 2594, 568, 11173, 547, 1118, 519, 2013, 585, 3656, 1436, 936, 22457, 1686, 543, 24906, 2200, 689, 15267, 513, 1857, 1072, 3390, 476, 277, 15267, 269, 634, 1686, 540, 16392, 15267, 15267, 585, 6775, 2504, 693, 3609, 6521, 602, 3075, 6963, 15156, 4612, 607, 519, 1101, 1900, 4724, 3656, 1436, 540, 269, 769, 713, 3390, 540, 795, 4821, 4835, 4915, 267, 536, 2784, 5112, 1696, 620, 476, 273, 543, 530, 523, 543, 554, 1442, 523, 9440, 476, 274, 1867, 2164, 11021, 602, 15267, 3656, 1436, 949, 1404, 513, 1686, 540, 269, 0, 300, 990, 773, 2140, 1557, 16643, 454, 288, 11985, 11239, 9238, 3040, 1620, 519, 17950, 540, 16643, 14327, 267, 1519, 281, 3040, 31194, 519, 1101, 2262, 538, 519, 2140, 543, 5705, 1856, 11783, 1977, 5626, 7681, 630, 23981, 264, 16643, 2511, 8261, 476, 277, 628, 7160, 2656, 4704, 1603, 16654, 25156, 30065, 518, 6280, 15292, 476, 272, 267, 476, 1001, 271, 3349, 540, 9115, 269, 661, 16643, 476, 272, 3898, 476, 273, 2870, 513, 8100, 1592, 476, 274, 1455, 8100, 1592, 13366, 476, 275, 538, 17856, 14327, 476, 276, 11249, 10643, 540, 5931, 535, 669, 8522, 17488, 1210, 2959, 269, 25737, 519, 3381, 538, 17856, 899, 596, 1131, 585, 1022, 824, 4704, 946, 519, 2012, 540, 519, 7260, 543, 519, 1032, 13712, 519, 4670, 538, 1557, 676, 519, 2140, 540, 16643, 4704, 563, 288, 11985, 11239, 2511, 4808, 512, 2140, 2985, 16643, 2511, 3340, 513, 476, 29848, 24369, 16643, 11239, 2511, 4808, 1570, 16643, 538, 17856, 14327, 2154, 519, 269, 2986, 1576, 267, 513, 2347, 13849, 20400, 1131, 1331, 513, 2140, 2985, 267, 606, 7493, 2985, 267, 543, 865, 8521, 264, 1957, 9862, 689, 968, 1492, 11739, 4177, 1198, 538, 30373, 15545, 589, 3391, 547, 948, 3755, 1711, 14327, 1210, 16643, 630, 26410, 5626, 7681, 264, 2511, 267, 476, 277, 628, 7160, 563, 296, 6415, 1603, 606, 16643, 2511, 1957, 585, 1250, 1362, 621, 781, 827, 519, 7260, 476, 279, 13304, 267, 543, 1775, 991, 547, 917, 875, 547, 2328, 1412, 279, 13304, 262, 538, 519, 1957, 1131, 1775, 269, 5192, 16643, 1557, 948, 593, 16643, 1557, 3898, 543, 16643, 2511, 585, 16643, 2852, 1557, 3898, 3651, 19282, 906, 2689, 1806, 543, 2307, 2055, 2228, 269, 17912, 1107, 5163, 4605, 513, 7260, 875, 547, 13712, 513, 4670, 8276, 990, 773, 2497, 281, 2140, 546, 597, 1101, 544, 2063, 13526, 1101, 544, 2063, 2733, 12460, 267, 1032, 3370, 2923, 1826, 269, 1452, 1331, 1433, 610, 7260, 713, 15007, 540, 1519, 519, 3621, 2012, 538, 519, 1957, 779, 2140, 568, 711, 606, 16643, 2511, 1832, 519, 24495, 923, 543, 3854, 1436, 563, 16240, 513, 7260, 2689, 1557, 1376, 707, 960, 609, 513, 2140, 602, 6920, 519, 2012, 540, 519, 4670, 610, 17245, 596, 20053, 547, 2689, 16643, 2511, 1957, 269, 476, 1015, 2328, 513, 2140, 602, 568, 513, 9114, 827, 519, 1557, 476, 1704, 1589, 540, 513, 5432, 6031, 267, 610, 519, 2140, 540, 513, 1433, 267, 5152, 267, 610, 7260, 267, 602, 1522, 3514, 707, 1557, 476, 1240, 269, 1403, 596, 14478, 8732, 629, 331, 4545, 320, 538, 513, 7260, 14364, 267, 3126, 2140 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1607, 1433, 8942, 547, 14458, 519, 4305, 540, 735, 2391, 609, 519, 6042, 538, 476, 3066, 595, 15709, 476, 4572, 277, 269, 1452, 3106, 6042, 786, 581, 4843, 538, 513, 1875, 14482, 1013, 673, 1259, 269, 4112, 534, 725, 786, 1331, 519, 4170, 540, 1142, 7939, 543, 4363, 2081, 547, 6445, 873, 269, 3962, 21044, 3106, 1858, 734, 1721, 1383, 4070, 10898, 267, 5945, 6604, 267, 543, 1620, 519, 27706, 8881, 543, 2657, 2920, 734, 15884, 849, 1331, 2866, 4441, 543, 7840, 585, 4070, 9946, 269, 634, 1433, 786, 5031, 519, 1034, 7928, 3123, 540, 4070, 9036, 7063, 543, 10913, 543, 2626, 2055, 827, 799, 4031, 543, 6042, 596, 616, 2838, 547, 1246, 693, 707, 4070, 3135, 563, 1607, 1433, 666, 581, 1336, 538, 670, 4488, 6347, 7732, 912, 30999, 1575, 1049, 8881, 543, 2657, 22217, 1881, 585, 519, 14716, 12752, 454, 30025, 23941, 3194, 6828, 454, 8025, 476, 4510, 274, 1547, 294, 6924, 476, 1220, 278, 0, 2108, 305, 659, 1143, 568, 851, 540, 938, 18472, 607, 4892, 269, 5272, 2749, 267, 1169, 1533, 543, 1169, 3148, 540, 713, 2197, 814, 922, 1378, 2620, 1686, 609, 10168, 269, 1656, 865, 1281, 519, 4074, 3350, 3034, 1700, 32178, 2558, 636, 6390, 267, 20029, 269, 476, 1428, 267, 476, 1001, 275, 267, 16713, 589, 14566, 4211, 22473, 13482, 454, 25567, 320, 779, 16672, 540, 14412, 31234, 602, 968, 718, 2367, 616, 2813, 3160, 892, 543, 968, 7474, 789, 616, 1439, 15735, 676, 741, 29763, 609, 1978, 796, 531, 1329, 762, 7126, 2507, 16908, 267, 23068, 543, 519, 13287, 540, 19732, 1465, 1848, 8616, 938, 15713, 18971, 267, 930, 540, 7247, 941, 10553, 268, 14935, 267, 11368, 8474, 883, 938, 2797, 5238, 543, 29846, 621, 585, 3592, 513, 2540, 269, 1656, 1310, 5198, 2861, 8474, 729, 6368, 7979, 31090, 267, 513, 1007, 5108, 540, 2797, 31794, 4847, 513, 1007, 5198, 2861, 1062, 540, 1071, 518, 1027, 4074, 547, 1831, 1876, 543, 2611, 538, 1747, 585, 1776, 4627, 269, 634, 9371, 540, 14882, 602, 729, 3812, 543, 18674, 676, 8474, 543, 13343, 18844, 5170, 547, 3337, 1977, 2797, 5238, 543, 3206, 538, 7096, 2081, 563, 21953, 2429, 938, 1686, 267, 8723, 2021, 543, 2367, 10692, 543, 5747, 585, 513, 7292, 569, 8537, 5075, 540, 2804, 5126, 269, 589, 2513, 819, 1235, 267, 19135, 4600, 267, 5721, 11188, 1562, 267, 12928, 2074, 540, 8534, 267, 4557, 656, 6705, 267, 19379, 267, 10081, 4600, 543, 19455, 4600, 5030, 741, 7029, 547, 7292, 7862, 543, 8678, 1927, 547, 3747, 513, 1732, 267, 811, 1175, 3013, 563, 3682, 326, 4809, 5198, 3401, 899, 12049, 4459, 30463, 267, 654, 9950, 11065, 269, 14878, 12251, 267, 589, 269, 17722, 11969, 20462, 543, 4860, 269, 3220, 269, 9410, 13162, 3751, 12789, 269, 4718, 18787, 607, 1898, 547, 519, 2702, 540, 3109, 4600, 547, 4473, 543, 3035, 7862, 269, 1656, 11636, 4074, 3401, 899, 3627, 11066, 543, 19124, 1234, 9801, 6785, 519, 4074, 3350, 1223, 711, 581, 2898, 1510, 519, 7589, 540, 3109, 4600, 563, 13828, 9769, 543, 3540, 2924, 15628, 6956, 602, 4074, 2924, 616, 1480, 2924, 267, 543, 602, 547, 1526, 1778, 513, 1268, 779, 15698, 23121, 3442, 835, 779, 960, 267, 547, 7118, 2614, 547, 1489, 513, 1920, 267, 547, 19533, 267, 547, 2951, 28934, 513, 20982, 957, 540, 28170, 542, 269, 901, 2186, 540, 5208, 568, 4443, 585, 519, 8418, 591, 547, 7787, 1125, 952, 519, 20665, 568, 9763, 607, 1447, 982, 1480, 563, 763, 1650, 540, 5198, 543, 4074, 538, 3013, 6238, 609, 519, 2126, 540, 3109, 4600, 538, 519, 3162, 269, 2334, 3148, 779, 2686, 10072, 689, 267, 855, 11173, 2797, 543, 2804, 3310, 593, 519, 1964, 540, 519, 2197, 5170, 547, 713, 1554, 269, 1879, 3979, 4892, 6410, 5087, 538, 519, 476, 736, 628, 2540, 936, 519, 1576, 540, 1079, 1158, 10617, 543, 519, 4279, 12870, 267, 789, 1336, 811, 2123, 5191, 28559, 789, 849, 1336, 5571, 7130, 543, 21376, 1569, 547, 2804, 3255, 269, 769, 519, 5756, 1063, 519, 1079, 10617, 267, 1870, 4690, 22393, 1031, 5198, 543, 6803, 3604, 547, 24183, 4074, 9322, 269, 2368, 18787, 15527, 676, 8508, 5610, 282, 1866, 5706, 539, 563, 10214, 1310, 3540, 2924, 9086, 6368, 1500, 7292, 7130, 10363, 538, 519, 476, 3422, 271, 338, 267, 15061, 14761, 1031, 7292, 11475, 543, 3043, 4250, 543, 32370, 547, 7941, 2324, 1004, 269, 1358, 3136, 547, 798, 865, 2221, 269, 634, 4074, 3350, 666, 543, 1590, 581, 693, 519, 21282, 540, 3646, 547, 7903, 1394, 1996, 519, 6214, 540, 6498, 269, 1284, 28297, 621, 547, 938, 2818, 267, 938, 1453, 543, 938, 2197, 563, 9824, 8271, 2038, 538, 7810, 3013, 267, 8828, 2244, 14935, 6444, 602, 789, 1223, 11694, 741, 12434, 676, 1210, 3979, 10437, 547, 960, 741, 2244, 267, 543, 513, 1560, 540, 1876, 729, 8045, 547, 7787, 1125, 8628, 5198, 2861, 17760, 29713, 269, 3683, 519, 1296, 267, 1310, 1169, 1483, 610, 16545, 10553, 32574, 267, 891, 4031, 941, 1500, 554, 1513, 615, 267, 543, 3109, 4600, 941, 2417, 588, 25634, 1242, 543, 632, 16058, 1242, 269, 32013, 15141, 687, 941, 32049, 547, 519, 2797, 8128, 267, 711, 1152, 1317, 540, 2168, 8594, 789, 6719, 547, 513, 12102, 3043, 16918, 267, 855, 1317, 789, 6534, 519, 5208, 2838, 547, 2226, 8474, 607, 513, 1062, 563, 2005, 3576, 3592, 835, 4627, 1296, 540, 989, 2787, 267, 4187, 267, 2797, 12180, 543, 519, 1973, 5006, 2112, 540, 938, 4182, 779, 1686, 547, 1439, 602, 968, 2865, 15116, 9872, 1848, 1809, 519, 14710, 540, 519, 28583, 2329, 1705, 711, 18385, 6861, 519, 1379, 540, 7013, 2244, 14935, 610, 741, 16809, 540, 7292, 27166, 563, 2691, 519, 6406, 2782, 8694, 267, 20752, 10492, 8120, 547, 741, 24914, 543, 5612, 3964, 968, 18872, 9479, 892, 602, 3908, 513, 3109, 1268, 779, 1318, 547, 3180, 3959, 267, 4001, 267, 840, 778, 610, 2951, 269, 769, 824, 1913, 267, 519, 1007, 4031, 2879, 520, 3481, 1394, 519, 15698, 540, 9241, 15685, 10437, 267, 543, 27052, 1346, 945, 15189, 547, 18846, 269, 23897, 1343, 540, 15685, 1004, 945, 6836, 547, 4734, 24914, 610, 15189, 547, 960, 693, 519, 2474, 6035, 941, 23689, 538, 519, 1101, 1296, 1310, 31414, 563, 763, 968, 3725, 18586, 892, 540, 519, 3162, 1152, 3459, 950, 5313, 10136, 13026, 5449, 20752, 2829, 538, 476, 5908, 278, 543, 18796, 5449, 1476, 25005, 919, 32410, 14017, 547, 519, 9769, 610, 6336, 741, 2797, 2924, 269, 2060, 519, 4027, 540, 5313, 10136, 543, 519, 948, 540, 519, 6154, 539, 2006, 779, 13163, 267, 3109, 15685, 5443, 20366, 543, 15548, 538, 2229, 585, 519, 1101, 942, 269, 769, 741, 1101, 4603, 609, 1582, 3766, 17922, 267, 789, 3964, 1857, 3506, 267, 3964, 5351, 7239, 267, 32206, 9897, 543, 6659, 9204, 547, 2628, 585, 621, 269, 16874, 519, 7471, 1533, 9777, 2137, 789, 20366, 538, 1044, 4847, 547, 3136, 267, 930, 540, 938, 1034, 11636, 1514, 543, 4074, 9086, 1522, 723, 2097, 689, 519, 3162, 269, 1809, 1310, 519, 1480, 543, 2883, 1942, 540, 519, 6406, 2782, 267, 519, 5313, 2229, 729, 8572, 610, 31464, 547, 1832, 2614, 5313, 10136, 538, 519, 3162, 547, 16401, 3043, 593, 3109, 5208, 269, 1306, 16543, 4465, 1394, 741, 13359, 2924, 543, 26793, 3109, 13359, 267, 6837, 1308, 1489, 585, 25608, 695, 17213, 269, 2991, 476, 1015, 1296, 267, 6837, 20366, 547, 11198, 10136, 689, 519, 3148, 543, 1577, 519, 2025, 22634, 1062, 15260, 1068, 3294, 563, 763, 1544, 614, 1362, 3964, 513, 1007, 1062, 540, 2671, 23145, 6137, 543, 7963, 890, 517, 720, 630, 3724, 539, 909, 676, 519, 1360, 1483, 3463, 540, 519, 5832, 14228, 264, 547, 1832, 3109, 4600, 593, 519, 2244, 269, 13343, 18844, 4031, 16798, 1514, 543, 2168, 17478, 689, 16543, 543, 15286, 1034, 3109, 1004, 689, 16565, 513, 22510, 2069, 267, 12721, 585, 6009, 267, 610, 2679, 5763, 269, 22118, 4221, 2968, 513, 1907, 540, 1514, 1852, 543, 2804, 28735, 267, 838, 10884, 1282, 519, 4005, 3959, 5411, 543, 2671, 23145, 13827, 12306, 6589, 269, 1635, 476, 4489, 271, 267, 519, 3162, 2899, 1586, 1185, 1831, 513, 3532, 15061, 13359, 1025, 665, 538, 6837, 267, 835, 602, 9846, 17808, 4074, 2924, 543, 1514, 15024, 563, 26581, 7434, 1436, 543, 1133, 687, 454, 1103, 519, 1964, 540, 519, 2197, 267, 519, 6406, 2782, 4346, 2799, 519, 10605, 540, 22713, 543, 25793, 14414, 513, 1007, 6891, 540, 11601, 543, 13250, 269, 7201, 796, 29970, 16851, 267, 519, 678, 3578, 1652, 556, 9464, 519, 6574, 12587, 269, 31257, 267, 966, 6387, 321, 2830, 267, 21546, 543, 18842, 651, 325, 11839, 30049, 1242, 2898, 6080, 1765, 4614, 601, 267, 16456, 338, 267, 8804, 543, 3282, 269, 1358, 3710, 1804, 4853, 1568, 602, 6603, 2066, 519, 11782, 269, 4635, 3196, 267, 12611, 543, 796, 2675, 14442, 592, 748, 1870, 2853, 267, 789, 16760, 15712, 269, 1358, 1287, 2458, 24231, 609, 1142, 824, 547, 1852, 519, 3790, 540, 2504, 543, 519, 5777, 9901, 547, 6800, 269, 7046, 569, 9140, 14761, 547, 2327, 789, 1223, 2328, 519, 2804, 3652, 543, 10518, 519, 16064, 538, 741, 3870, 267, 789, 19017, 796, 19960, 514, 762, 5763, 269, 1656, 789, 1287, 10692, 18979, 569, 547, 1832, 621, 563, 1103, 519, 2034, 3368, 540, 519, 476, 866, 628, 2540, 267, 11082, 689, 8581, 267, 7977, 543, 8109, 2342, 22125, 883, 512, 2940, 906, 538, 11785, 267, 9628, 267, 1715, 3840, 543, 15740, 1247, 4457, 11082, 941, 1200, 4765, 883, 968, 2419, 514, 520, 12495, 892, 538, 5842, 12770, 269, 8056, 580, 7847, 941, 931, 11220, 547, 1804, 267, 5906, 15327, 267, 543, 6976, 13848, 602, 11385, 730, 609, 2834, 12424, 687, 267, 1818, 873, 22691, 585, 9769, 12180, 543, 782, 6073, 540, 9097, 2093, 899, 513, 476, 2412, 16923, 960, 3018, 543, 8375, 13848, 563, 763, 1007, 6080, 267, 3677, 15327, 543, 16437, 518, 2551, 7740, 2813, 15417, 2666, 585, 4028, 9769, 2208, 269, 589, 3152, 5834, 540, 9952, 4600, 538, 835, 1747, 4847, 2757, 4739, 18787, 547, 1332, 267, 543, 1804, 15327, 2322, 2789, 23194, 896, 835, 8122, 267, 7393, 519, 1761, 585, 10480, 23306, 3889, 899, 519, 835, 602, 1131, 1831, 519, 1977, 18966, 540, 8534, 269, 634, 9952, 23194, 1869, 941, 11566, 569, 5065, 23899, 3043, 17557, 9038, 538, 519, 476, 866, 628, 2540, 282, 543, 1317, 789, 12236, 5266, 2362, 13848, 267, 789, 941, 2111, 547, 2628, 546, 1132, 585, 10880, 7482, 267, 7210, 2628, 267, 13864, 6351, 543, 19746, 6142, 269, 1358, 941, 26997, 547, 10891, 5667, 330, 2683, 9721, 543, 7969, 7826, 11082, 563, 8448, 18787, 1705, 865, 9020, 16484, 269, 634, 12928, 2074, 540, 8534, 267, 8547, 538, 476, 5908, 280, 267, 4941, 547, 10891, 782, 4600, 1765, 12921, 2683, 543, 5667, 330, 2683, 267, 2367, 543, 2021, 267, 3043, 543, 3109, 1765, 5976, 514, 606, 2872, 269, 1358, 6026, 11082, 741, 2924, 607, 4961, 267, 3710, 24625, 2510, 267, 3177, 2804, 2069, 543, 15469, 2797, 6963, 269, 589, 16456, 10880, 519, 12928, 2074, 540, 8534, 6896, 2968, 513, 7432, 1448, 538, 4853, 4655, 563, 288, 12928, 2074, 685, 3552, 13906, 10880, 538, 476, 6942, 278, 5555, 17947, 476, 1911, 267, 1822, 4600, 267, 855, 8694, 538, 27632, 1824, 267, 3959, 3441, 543, 1533, 17740, 807, 543, 5313, 10136, 1373, 1572, 856, 538, 5722, 2829, 269, 2991, 519, 29016, 17740, 807, 17991, 883, 513, 15624, 543, 7166, 1896, 1004, 267, 4600, 1427, 531, 7007, 676, 21006, 476, 4375, 5656, 267, 476, 10441, 21525, 582, 1161, 543, 476, 272, 267, 25090, 5721, 6517, 269, 2311, 519, 10880, 779, 1439, 267, 476, 1911, 547, 476, 1220, 1004, 941, 4666, 543, 1082, 7366, 811, 941, 13676, 610, 29802, 563, 6524, 713, 2680, 267, 4174, 24329, 10355, 5185, 811, 982, 1769, 22717, 543, 5618, 21569, 2474, 269, 1809, 4853, 1235, 941, 3352, 622, 693, 519, 9552, 540, 741, 3959, 269, 1358, 556, 23457, 1533, 17740, 5362, 267, 3710, 2199, 6186, 1559, 267, 2919, 13218, 609, 519, 7952, 543, 3710, 741, 1378, 4357, 3354, 4229, 267, 2347, 609, 838, 625, 543, 10880, 3691, 5474, 269, 901, 6825, 519, 4098, 540, 513, 1360, 10795, 4339, 936, 519, 1318, 540, 4600, 547, 513, 9769, 543, 547, 3747, 2362, 13848, 543, 10156, 960, 2395, 563, 1103, 519, 2063, 1079, 5756, 540, 519, 476, 866, 628, 2540, 267, 811, 982, 3670, 2929, 4600, 941, 3238, 538, 476, 2537, 267, 1822, 16716, 269, 631, 4106, 807, 267, 7128, 267, 5313, 10136, 543, 25968, 30639, 3713, 1161, 1419, 10726, 543, 8929, 4174, 24329, 267, 945 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4804, 22580, 20157, 4115, 267, 6762, 1633, 7732, 454, 22897, 17158, 338, 1169, 2460, 540, 7172, 12579, 1222, 267, 865, 621, 568, 1271, 547, 1832, 909, 609, 1007, 2029, 2645, 543, 1265, 2081, 547, 946, 873, 547, 2087, 2533, 543, 1732, 948, 29123, 269, 901, 3946, 6823, 267, 7317, 26608, 12401, 786, 4001, 3670, 547, 5216, 2029, 2645, 538, 1469, 543, 1397, 28752, 519, 2200, 547, 1265, 856, 827, 476, 2004, 1863, 2029, 2645, 602, 666, 581, 1031, 538, 782, 8021, 269, 1703, 786, 581, 7899, 540, 942, 585, 3408, 540, 519, 2645, 267, 865, 5225, 15760, 7495, 256, 1411, 949, 849, 1616, 547, 3142, 30069, 610, 1274, 321, 644, 338, 563, 299, 7637, 17659, 2917, 568, 513, 5398, 7896, 20157, 4115, 693, 519, 2160, 540, 3162, 10491, 5455, 8063, 7732, 269, 4173, 3318, 4690, 1331, 14292, 1374, 267, 3872, 2029, 267, 543, 1344, 7924, 585, 782, 6502, 563, 17954, 22828, 918, 15077, 577, 568, 513, 5398, 7896, 20157, 4115, 693, 519, 2160, 540, 3162, 10491, 5455, 8063, 7732, 269, 2701, 568, 519, 18509, 13541, 540, 24021, 16370, 693, 5455, 8063, 543, 519, 13653, 543, 1699, 3213, 16644, 1515, 540, 700, 3951, 288, 779, 10794, 10435, 9314, 6828, 563, 297, 517, 11936, 918, 15077, 577, 568, 519, 10361, 20157, 4115, 693, 519, 623, 659, 1961, 339, 7732, 25032, 540, 519, 1975, 691, 534, 7921, 6019, 5398, 23905, 269, 3571, 3318, 4690, 1331, 6932, 2029, 267, 3059, 10070, 267, 552, 268, 9248, 267, 13629, 267, 543, 5752, 585, 8021, 563, 305, 617, 30473, 568, 513, 20157, 4115, 693, 6762, 1633, 7732, 267, 12052, 3162, 10491, 269, 5303, 814, 2141, 1044, 693, 519, 21282, 540, 1022, 540, 1010, 5399, 1644, 18129, 563, 24171, 700, 728, 568, 519, 4804, 22580, 20157, 4115, 693, 6762, 1633, 7732, 267, 12052, 3162, 10491, 269, 1261, 2337, 547, 17362, 513, 6252, 2619, 540, 1565, 585, 2146, 2818, 543, 9164, 563, 763, 1977, 7732, 5948, 630, 3201, 288, 264, 8678, 519, 16452, 25260, 19137, 538, 22745, 968, 8967, 1046, 2223, 606, 5216, 12268, 3381, 3126, 2919, 547, 1489, 543, 3391, 1101, 6066, 15156, 945, 616, 5461, 538, 14957, 693, 519, 5313, 1377, 585, 2152, 602, 2339, 547, 873, 269, 634, 3126, 267, 6098, 547, 13588, 9907, 476, 1724, 1700, 2420, 267, 786, 581, 18799, 593, 519, 13334, 2985, 540, 519, 16452, 25260, 19137, 267, 1247, 7172, 12579, 543, 7855, 616, 9415, 547, 946, 519, 7044, 547, 4497, 1762, 1004, 610, 1101, 942, 15156, 269, 634, 3381, 3126, 729, 9250, 2221, 1282, 519, 476, 5655, 526, 5993, 2817, 7732, 22694, 894, 4303, 538, 6115, 267, 667, 5861, 563, 763, 3381, 3126, 2488, 5885, 1344, 585, 538, 23024, 27624, 29065, 15156, 267, 8720, 3388, 689, 4259, 909, 538, 16512, 9777, 1807, 11401, 547, 519, 1184, 540, 14335, 513, 5859, 269, 1635, 8840, 1524, 540, 339, 10784, 574, 573, 908, 968, 1231, 728, 519, 25028, 3118, 892, 1893, 267, 27910, 2488, 606, 3015, 1305, 540, 2645, 602, 666, 19334, 543, 18663, 1762, 15156, 585, 519, 1964, 540, 741, 2729, 269, 634, 3381, 3126, 849, 2882, 1344, 593, 1603, 2046, 13847, 267, 588, 1645, 1514, 2923, 11044, 267, 1210, 5399, 2200, 585, 1382, 610, 8066, 2621, 267, 543, 1655, 2853, 585, 32296, 11221, 8387, 563, 14071, 616, 20938, 547, 10131, 27910, 267, 513, 3126, 540, 7317, 14223, 7044, 269, 1284, 4126, 602, 1762, 610, 1007, 15156, 786, 581, 6273, 547, 1376, 741, 1378, 11044, 267, 543, 602, 7172, 12579, 543, 7855, 786, 581, 2111, 547, 946, 519, 3126, 547, 4497, 1762, 1004, 543, 1205, 873, 3238, 538, 14223, 3646, 1848, 1767, 14667, 2701, 8208, 4752, 267, 10324, 8689, 540, 519, 1977, 7732, 5948, 779, 6115, 8433, 563, 13202, 2801, 29928, 267, 30667, 10615, 585, 519, 16452, 25260, 19137, 267, 3773, 267, 968, 296, 4076, 5249, 609, 6107, 585, 513, 1082, 1296, 1631, 267, 543, 594, 4076, 2760, 1558, 513, 1762, 1268, 945, 1175, 2731, 4769, 1406, 1616, 547, 1205, 3238, 1107, 789, 1175, 14201, 1406, 2386, 875, 256, 594, 1589, 713, 568, 3020, 585, 4079, 945, 723, 2760, 1044, 3238, 538, 18523, 6278, 1354, 267, 1932, 269, 594, 4126, 602, 27910, 786, 581, 513, 4199, 547, 1004, 945, 723, 4862, 513, 2603, 827, 3478, 7722, 538, 519, 2797, 1184, 855, 723, 2760, 1044, 2386, 1141, 547, 1376, 267, 543, 23248, 1765, 323, 732, 594, 2161, 1765, 4944, 1046, 930, 1007, 2093, 543, 2962, 563, 1607, 2022, 786, 2119, 543, 7485, 1927, 930, 540, 519, 1239, 689, 519, 1114, 4610, 7396, 1657, 543, 1459, 873, 538, 513, 1259, 602, 649, 786, 23248, 581, 2111, 547, 946, 547, 17589, 930, 2495, 689, 563, 5415, 13517, 20099, 17564, 454, 1103, 519, 3105, 9708, 594, 4076, 5097, 5059, 593, 519, 3259, 540, 519, 6609, 4610, 269, 1703, 616, 1079, 824, 4610, 602, 594, 4076, 4994, 539, 602, 616, 1644, 547, 519, 3259, 540, 519, 6609, 4610, 269, 1452, 1079, 4610, 1331, 519, 1297, 540, 21797, 538, 513, 6609, 543, 519, 3328, 18351, 3259, 540, 4610, 563, 296, 4076, 3769, 1346, 2418, 2630, 269, 594, 4076, 3769, 1079, 1611, 2418, 267, 835, 585, 782, 540, 519, 11673, 538, 519, 10471, 630, 1704, 267, 6434, 275, 267, 280, 5379, 11673, 264, 543, 538, 519, 824, 519, 11673, 602, 616, 476, 272, 1915, 538, 3259, 610, 811, 630, 1724, 267, 6507, 272, 267, 10755, 9188, 18587, 1916, 13614, 1107, 11192, 454, 13614, 1107, 476, 272, 266, 3259, 454, 763, 11708, 2630, 616, 1759, 593, 519, 2338, 540, 1175, 11673, 602, 616, 476, 272, 266, 3259, 610, 811, 563, 1607, 1101, 3113, 568, 1373, 32419, 689, 513, 3105, 2022, 602, 2982, 519, 3328, 3259, 540, 6609, 676, 3038, 3187, 26260, 889, 269, 6424, 681, 636, 8124, 543, 519, 5192, 1399, 616, 519, 1079, 602, 3328, 936, 476, 7742, 3197, 829, 6609, 563, 30182, 13517, 20099, 676, 16735, 454, 2005, 12582, 1406, 9983, 596, 602, 6424, 10548, 8124, 543, 5192, 614, 616, 1079, 540, 519, 3038, 11107, 26260, 889, 338, 602, 723, 519, 5207, 3328, 18351, 12523, 267, 609, 3476, 11673, 3622, 2870, 811, 21797, 269, 1703, 616, 513, 1906, 3604, 602, 1810, 1406, 6474, 713, 1498, 267, 2475, 290, 602, 814, 606, 3328, 540, 1175, 936, 476, 2004, 3197, 585, 519, 3328, 6609, 3259, 2501, 538, 607, 519, 3791, 5207, 538, 519, 3328, 18351, 12523, 693, 936, 476, 2412, 21797, 829, 6609, 269, 1703, 616, 513, 1906, 824, 7426, 10774, 889, 338, 602, 1413, 513, 3787, 1114, 982, 741, 3328, 6609, 3259, 563, 30182, 570, 7505, 4032, 676, 3038, 3187, 454, 19350, 568, 513, 3113, 540, 519, 3328, 18351, 13080, 676, 7426, 269, 634, 2539, 519, 1297, 568, 519, 2539, 3328, 3259, 540, 513, 18351, 269, 634, 1611, 585, 519, 3003, 667, 303, 6369, 10471, 585, 11673, 540, 3259, 476, 272, 266, 568, 1175, 936, 476, 276, 3197, 563, 30182, 570, 7505, 20099, 676, 3038, 3187, 454, 6546, 779, 782, 594, 723, 547, 2161, 827, 519, 1585, 7194, 1644, 547, 3259, 585, 713, 2022, 269, 594, 2220, 792, 256, 269, 8921, 649, 1847, 593, 547, 930, 540, 519, 824, 14573, 602, 594, 7229, 950, 4994, 532, 1919, 563, 8448, 5450, 7879, 585, 519, 13517, 12197, 454, 9961, 713, 2079, 594, 1185, 513, 2243, 540, 950, 547, 1491, 883, 2272, 602, 972, 941, 6634, 540, 5638, 538, 519, 10471, 602, 1185, 1100, 6609, 1459, 269, 594, 7948, 1406, 1175, 12235, 2476, 602, 1249, 538, 519, 2079, 855, 594, 4769, 1406, 917, 4010, 1018, 547, 798, 609, 873, 269, 1924, 2630, 594, 1459, 7194, 585, 519, 3328, 540, 1082, 540, 519, 4610, 594, 4994, 539, 607, 1312, 519, 1611, 540, 782, 540, 519, 11673, 543, 1287, 519, 1611, 540, 1175, 519, 11673, 602, 616, 835, 610, 811, 3197, 538, 3259, 269, 634, 11708, 602, 1246, 519, 3349, 2630, 616, 782, 1759, 593, 519, 15410, 540, 11673, 602, 616, 3152, 982, 610, 3160, 547, 835, 1915, 538, 3259, 563, 13614, 1107, 11192, 454, 13614, 1107, 476, 272, 266, 3259, 454, 1805, 641, 6919, 616, 1913, 602, 2049, 1360, 4122, 538, 2067, 1893, 269, 594, 1031, 513, 1592, 540, 476, 14096, 3247, 6919, 585, 713, 960, 547, 948, 1174, 1018, 6871, 540, 513, 6609, 630, 22372, 593, 21797, 264, 568, 1500, 909, 540, 3247, 6919, 269, 2755, 3247, 6919, 3622, 4163, 2370, 2495, 585, 2067, 1893, 267, 789, 616, 513, 1434, 13525, 540, 2067, 1893, 267, 865, 7426, 10774, 889, 338, 602, 723, 513, 2362, 6871, 540, 3247, 6919, 1131, 4440, 723, 811, 11673, 602, 18613, 2067, 1893, 563, 8110, 1417, 17547, 6919, 676, 3038, 3187, 454, 296, 729, 8049, 827, 875, 1454, 18685, 729, 1459, 538, 513, 6609, 593, 3328, 269, 594, 1031, 519, 1739, 3197, 607, 1250, 1305, 540, 968, 335, 9417, 6672, 3197, 7536, 296, 1336, 519, 1297, 540, 3197, 538, 513, 6609, 602, 941, 1500, 909, 540, 891, 3197, 5288, 824, 3197, 543, 1287, 5258, 519, 1297, 540, 18685, 3197, 676, 519, 2698, 6609, 3259, 547, 1205, 519, 6871, 540, 519, 6609, 602, 568, 18685, 563, 8110, 1417, 623, 9417, 6672, 676, 3038, 3187, 454, 303, 9417, 6672, 568, 1455, 538, 2067, 1893, 855, 621, 4386, 5266, 1102, 18526, 269, 1280, 1383, 602, 2063, 4845, 729, 32210, 3197, 1279, 543, 1152, 835, 540, 873, 729, 18685, 630, 1492, 1974, 693, 519, 1439, 540, 519, 4845, 1040, 2334, 2501, 547, 513, 2600, 7272, 9417, 6672, 540, 1152, 476, 272, 269, 1839, 10065, 769, 519, 3113, 1657, 596, 786, 1294, 519, 519, 536, 25632, 8502, 10774, 889, 814, 936, 476, 2004, 260, 540, 741, 6609, 609, 476, 1839, 268, 5392, 260, 18685, 269, 2334, 779, 1360, 1164, 950, 3379, 547, 519, 824, 32387, 543, 519, 1249, 602, 972, 568, 606, 3328, 540, 827, 476, 276, 260, 2949, 585, 519, 667, 303, 6369, 10471, 269, 7913, 20448, 814, 513, 6871, 540, 11673, 602, 616, 689, 476, 2004, 268, 10619, 260, 18685, 799, 568, 7168, 4277, 607, 1134, 563, 9202, 909, 538, 938, 1592, 540, 1919, 547, 1413, 693, 568, 519, 6871, 540, 519, 6609, 2361, 602, 5161, 540, 9981, 269, 1280, 2689, 267, 9981, 616, 9704, 267, 899, 519, 1739, 563, 296, 1031, 519, 1482, 1184, 585, 519, 2600, 8870, 607, 594, 1705, 585, 519, 2600, 18685, 5018, 1657, 563, 8110, 1417, 6715, 518, 676, 3038, 3187, 454, 2791, 666, 1294, 602, 972, 616, 1896, 7426, 10774, 889, 338, 602, 723, 3833, 513, 1164, 6871, 8870, 585, 741, 11673, 269, 1452, 7426, 10774, 889, 338, 616, 519, 536, 25632, 543, 519, 1159, 603, 26040, 269, 634, 1159, 603, 26040, 814, 936, 476, 3583, 260, 540, 922, 11673, 609, 2600, 9981, 540, 936, 476, 3583, 18336, 5629, 649, 4076, 6743, 693, 18685, 543, 9981, 267, 602, 3762, 2731, 1175, 5022, 540, 519, 9904, 547, 17539, 519, 1964, 540, 513, 6609, 2361, 563, 6546, 779, 4010, 1018, 649, 786, 1413, 693, 1985, 269, 1280, 713, 594, 1031, 519, 1739, 3197, 547, 5581, 5022, 563, 296, 4769, 1406, 1685, 1022, 2013, 24208, 865, 5022, 609, 1019, 659, 761, 923, 9327, 1406, 581, 18886, 607, 5022, 538, 713, 2079, 267, 855, 649, 786, 1413, 693, 1346, 513, 2370, 3787, 2663, 563, 8110, 1417, 14594, 676, 3038, 3187, 454, 2690, 2600, 5022, 596, 1131, 2503, 972, 547, 581, 513, 1360, 1164, 6871, 540, 519, 11673, 602, 2933, 2270, 513, 1164, 6871, 540, 5022, 538, 519, 6609, 269, 13575, 713, 5526, 547, 581, 3020, 855, 972, 616, 930, 9642, 7426, 10774, 889, 338, 1586, 5631, 536, 25632, 543, 519, 1159, 603, 26040, 267, 1498, 562, 344, 680, 267, 737, 323, 331, 543, 575, 17763, 849, 3100, 547, 723, 513, 1114, 3892, 540, 5022, 982, 1866, 538, 519, 10471, 563, 763, 1985, 3364, 547, 1413, 693, 729, 519, 6871, 540, 968, 338, 2133, 3197, 892, 1031, 538, 513, 6609, 269, 1280, 713, 594, 1031, 519, 1739, 4214, 540, 968, 338, 2133, 1915, 6100, 1403, 513, 1915, 568, 711, 1459, 538, 519, 1739, 1592, 540, 3197, 630, 6518, 849, 2882, 16543, 10628, 3197, 264, 1287, 621, 568, 2808, 547, 581, 513, 968, 338, 2133, 1915, 7536, 288, 4063, 538, 2542, 519, 3113, 1657, 267, 1832, 538, 2247, 602, 519, 586, 14289, 568, 1152, 476, 4817, 268, 1911, 260, 865, 1247, 2475, 290, 5654, 1114, 1934, 621, 1152, 4564, 476, 274, 260, 540, 922, 11673, 602, 723, 476, 2004, 268, 1911, 260, 540, 519, 6609, 1373, 2027, 3197, 269, 4107, 2693, 513, 1305, 540, 11673, 602, 723, 27034, 2813, 538, 513, 1875, 268, 1263, 1501, 1893, 563, 763, 3803, 3113 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 2527, 269, 898, 568, 513, 2596, 1770, 538, 513, 11973, 1062, 267, 18005, 1634, 607, 4139, 3590, 540, 19590, 630, 514, 28484, 1106, 16038, 1916, 5804, 942, 547, 942, 519, 11304, 666, 581, 2854, 607, 11304, 1889, 269, 634, 3090, 540, 713, 1770, 568, 4846, 563, 5575, 4214, 540, 513, 11304, 729, 19775, 538, 476, 9692, 276, 269, 634, 11304, 729, 3989, 607, 519, 2527, 540, 835, 2148, 540, 1216, 269, 901, 4214, 729, 711, 7294, 855, 11207, 791, 24411, 547, 946, 563, 10190, 267, 538, 476, 6642, 280, 519, 11304, 729, 3989, 1210, 519, 4139, 5019, 9189, 540, 519, 18741, 6945, 630, 514, 2110, 1106, 7379, 298, 1040, 634, 7379, 298, 729, 1500, 540, 476, 3445, 260, 31091, 543, 476, 1015, 4939, 3352, 29899, 269, 634, 7379, 298, 729, 1031, 2394, 476, 1001, 280, 267, 950, 621, 729, 8719, 676, 513, 1007, 4214, 563, 3086, 12997, 519, 4214, 540, 519, 11304, 568, 1628, 593, 2168, 21635, 267, 2523, 23851, 3586, 269, 634, 4013, 4214, 568, 281, 968, 763, 11304, 267, 3090, 4846, 267, 568, 519, 16038, 1770, 540, 2527, 269, 898, 568, 3989, 676, 2921, 519, 6378, 10230, 1871, 540, 519, 23851, 3586, 554, 547, 581, 476, 277, 269, 277, 2918, 271, 3583, 1428, 9943, 1015, 6629, 4097, 950, 6829, 538, 519, 1770, 808, 414, 24844, 338, 267, 799, 568, 3160, 547, 4846, 414, 24844, 332, 273, 414, 24844, 338, 6629, 272, 267, 1141, 519, 25451, 543, 519, 2034, 616, 3989, 538, 2474, 540, 524, 543, 18529, 14832, 12336, 3034, 3080, 11304, 568, 4010, 476, 271, 269, 9826, 9522, 928, 269, 898, 1223, 581, 849, 5258, 547, 476, 1911, 1232, 22329, 543, 476, 1911, 271, 10101, 563, 2791, 917, 513, 2370, 827, 11304, 267, 865, 1631, 649, 666, 1847, 593, 547, 519, 11013, 269, 634, 11013, 568, 849, 513, 1770, 540, 2527, 269, 1284, 1616, 547, 11168, 602, 972, 616, 711, 1152, 835, 2186, 540, 11013, 269, 1548, 616, 649, 6158, 827, 286, 1280, 1383, 267, 972, 616, 849, 11013, 268, 4403, 269, 769, 713, 2376, 649, 1616, 547, 13404, 1152, 593, 11013, 2173, 817, 563, 763, 11013, 568, 538, 946, 538, 519, 15875, 543, 2136, 2276, 22232, 1949, 540, 7403, 269, 1677, 581, 9237, 267, 713, 1770, 568, 538, 946, 849, 538, 824, 1949, 269, 634, 3090, 540, 713, 1770, 568, 18470, 610, 968, 563, 2467, 568, 1100, 10855, 4214, 540, 519, 3486, 1285, 7546, 16632, 12251, 11013, 269, 898, 568, 4010, 476, 271, 269, 28526, 30020, 4391, 13532, 269, 2290, 1285, 7546, 16632, 12251, 11013, 666, 581, 5258, 547, 476, 1626, 1285, 7546, 16632, 12251, 13728, 543, 476, 10384, 271, 9274, 563, 763, 1285, 7546, 16632, 12251, 11013, 729, 8045, 538, 519, 1284, 2074, 543, 21474, 2920, 476, 3422, 274, 269, 634, 4214, 540, 519, 11013, 729, 2016, 538, 1101, 3296, 540, 713, 957, 281, 968, 763, 13452, 610, 519, 25451, 4927, 581, 519, 1770, 540, 6482, 540, 3259, 543, 519, 11013, 610, 519, 11304, 4927, 581, 519, 1770, 540, 6482, 540, 2527, 676, 4704, 547, 799, 1022, 6482, 5473, 513, 6482, 540, 3259, 610, 2527, 4927, 581, 1500, 538, 519, 2136, 8003, 282, 543, 268, 630, 320, 264, 519, 13452, 4927, 581, 476, 271, 269, 280, 1691, 275, 25451, 4010, 282, 630, 321, 264, 519, 11013, 4927, 581, 476, 271, 269, 28526, 30020, 4391, 11304, 4010, 3034, 31628, 3749, 3296, 568, 2907, 3297, 721, 269, 769, 713, 3296, 649, 1616, 547, 2995, 596, 875, 1454, 568, 476, 4097, 269, 8660, 4846, 547, 7273, 269, 3767, 596, 917, 602, 476, 4097, 269, 8660, 4846, 815, 1535, 7273, 269, 1924, 621, 568, 942, 547, 917, 519, 2626, 269, 2913, 779, 1294, 912, 4097, 269, 8660, 11304, 815, 476, 10602, 269, 280, 866, 27543, 21076, 279, 6550, 563, 6546, 568, 606, 3169, 6364, 540, 875, 1454, 476, 4097, 269, 8660, 4846, 547, 11013, 269, 1411, 949, 849, 5180, 621, 1055, 269, 2991, 621, 707, 1267, 568, 4010, 281, 476, 4097, 269, 8660, 4846, 815, 476, 10602, 269, 4037, 279, 7273, 563, 2791, 917, 476, 4097, 269, 8660, 4846, 568, 875, 1082, 7273, 267, 865, 723, 513, 1413, 875, 1082, 4846, 476, 4097, 269, 8660, 7273, 281, 476, 4097, 269, 8660, 11013, 815, 476, 271, 269, 28526, 30020, 4391, 13532, 563, 11917, 16227, 267, 713, 942, 596, 666, 849, 5180, 621, 1055, 269, 2991, 621, 707, 1267, 568, 4010, 281, 476, 4097, 269, 8660, 18470, 815, 476, 271, 269, 3393, 4846, 338, 563, 2171, 849, 1616, 547, 1397, 596, 476, 4097, 269, 8660, 4846, 547, 875, 1082, 6550, 543, 476, 4097, 269, 8660, 11013, 875, 1082, 4846, 2164, 538, 12125, 269, 6423, 912, 2171, 786, 2253, 609, 513, 3349, 585, 875, 1454, 568, 476, 4097, 269, 8660, 4846, 3160, 547, 11013, 563, 347, 298, 559, 9999, 630, 11899, 10534, 303, 2432, 630, 331, 321, 10534, 303, 2432, 630, 331, 2125, 264, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 10245, 19064, 2432, 1475, 298, 559, 9999, 1475, 298, 559, 9999, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 2008, 3086, 596, 917, 875, 1082, 476, 4097, 269, 8660, 4846, 547, 7273, 543, 875, 1082, 13532, 476, 4097, 269, 8660, 11013, 267, 865, 649, 666, 1847, 593, 547, 519, 476, 4097, 269, 8660, 4846, 547, 7273, 4542, 563, 2414, 6460, 476, 4097, 269, 8660, 4846, 547, 721, 7273, 596, 991, 513, 4542, 269, 1284, 616, 2469, 547, 1397, 596, 1079, 12596, 269, 2913, 779, 1376, 609, 519, 1101, 835, 912, 10831, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 476, 10602, 269, 280, 866, 27543, 21076, 279, 1267, 538, 6550, 454, 763, 1101, 4528, 540, 513, 4542, 2285, 596, 519, 1034, 2953, 1267, 269, 769, 930, 3871, 1256, 519, 10545, 3017, 1223, 581, 9645, 269, 1924, 952, 596, 1616, 547, 1205, 606, 3169, 1267, 910, 713, 4542, 786, 581, 519, 1655, 585, 596, 270, 641, 5406, 547, 6460, 875, 1082, 6550, 616, 6697, 547, 476, 4097, 269, 8660, 11304, 563, 3383, 1847, 593, 547, 519, 2034, 4542, 267, 799, 849, 6087, 24740, 547, 917, 875, 1454, 476, 4097, 269, 8660, 11304, 538, 6550, 563, 763, 2034, 4542, 568, 1524, 2630, 267, 723, 513, 1413, 912, 8649, 870, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 6364, 538, 6550, 454, 2026, 596, 1294, 267, 519, 2034, 4528, 568, 12863, 269, 898, 666, 581, 519, 1655, 3903, 952, 596, 1616, 547, 1118, 513, 7503, 540, 476, 4097, 269, 8660, 11304, 547, 6550, 538, 2656, 1259, 267, 585, 1383, 267, 1282, 10918, 269, 1411, 1152, 991, 547, 3314, 602, 3803, 1267, 786, 581, 711, 865, 2953, 563, 3086, 649, 616, 2469, 547, 1397, 596, 891, 1079, 12596, 538, 2259, 269, 1809, 1354, 649, 786, 1118, 513, 7503, 540, 476, 4097, 269, 8660, 4846, 547, 7273, 649, 616, 2469, 547, 1397, 596, 1776, 1259, 547, 917, 476, 4097, 269, 8660, 4846, 547, 875, 1082, 7273, 11207, 4674, 1652, 563, 5194, 1259, 547, 2638, 1018, 568, 476, 4097, 269, 8660, 11304, 3160, 547, 538, 6550, 568, 547, 946, 476, 4097, 269, 8660, 4846, 7273, 9498, 269, 1548, 568, 513, 4846, 547, 18470, 20303, 888, 15612, 1807, 568, 606, 3498, 269, 18185, 568, 1759, 593, 3476, 4542, 799, 649, 5795, 596, 538, 519, 3105, 851, 540, 713, 2376, 269, 9603, 547, 476, 4097, 269, 8660, 4846, 11013, 9498, 596, 666, 4674, 1652, 6460, 476, 4097, 269, 8660, 4846, 547, 7273, 269, 1411, 1152, 991, 547, 4283, 1297, 540, 13532, 799, 596, 991, 547, 5173, 543, 4945, 2048, 935, 3200, 685, 7735, 269, 634, 1267, 786, 581, 3254, 538, 513, 8755, 563, 3383, 2119, 547, 6460, 476, 4097, 269, 8660, 4846, 883, 7273, 1210, 476, 4097, 269, 8660, 4846, 5288, 11013, 20303, 269, 1284, 9411, 476, 4097, 269, 8660, 607, 513, 1297, 540, 13532, 269, 3371, 568, 519, 1267, 281, 476, 4097, 269, 8660, 11304, 815, 476, 10602, 269, 280, 866, 27543, 21076, 279, 6550, 563, 2026, 596, 1294, 267, 938, 476, 4097, 269, 8660, 4846, 5288, 7273, 20303, 568, 16022, 563, 3086, 649, 616, 2469, 547, 938, 1292, 1888, 910, 875, 547, 6460, 476, 4097, 269, 8660, 13532, 547, 6550, 593, 707, 1378, 563, 2171, 786, 2253, 476, 4097, 269, 8660, 11304, 11224, 547, 875, 1082, 6550, 9819, 609, 519, 1101, 4542, 547, 1205, 519, 1034, 3169, 1267, 269, 589, 2656, 12576, 540, 513, 4542, 912, 8649, 870, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 10602, 269, 280, 866, 27543, 21076, 279, 519, 1267, 538, 6550, 454, 3383, 1018, 991, 596, 798, 547, 2638, 875, 1082, 6550, 3160, 547, 476, 4097, 269, 8660, 11304, 286, 3807, 9062, 1297, 540, 13532, 267, 713, 942, 476, 4097, 269, 8660, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 3160, 476, 10602, 269, 280, 866, 27543, 21076, 279, 269, 1924, 476, 4097, 269, 8660, 11304, 568, 4010, 476, 10602, 269, 280, 866, 27543, 21076, 279, 563, 2005, 568, 849, 2009, 547, 5180, 1055, 713, 1267, 267, 585, 3236, 267, 547, 1079, 8918, 4025, 269, 898, 568, 476, 273, 269, 736, 269, 1924, 476, 4097, 269, 8660, 11304, 815, 476, 10602, 269, 4037, 279, 271, 6550, 563, 2005, 568, 1164, 942, 585, 606, 1383, 689, 4948, 1272, 269, 2913, 779, 6460, 476, 4097, 269, 8660, 4846, 4154, 538, 6550, 269, 1924, 476, 4097, 269, 8660, 4846, 3160, 547, 875, 1082, 7273, 286, 1306, 538, 519, 3105, 1383, 910, 9062, 476, 4097, 269, 8660, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 4010, 476, 10602, 269, 280, 866, 27543, 21076, 279, 269, 1924, 6697, 540, 476, 4097, 269, 8660, 13532, 547, 6550, 267, 950, 621, 2501, 547, 4154, 267, 568, 3160, 476, 10602, 269, 280, 866, 27543, 21076, 279, 563, 1103, 713, 1383, 621, 568, 849, 2009, 547, 5180, 1055, 519, 1267, 269, 898, 568, 519, 6364, 1310, 24263, 1055, 267, 713, 942, 547, 835, 8918, 1747, 910, 476, 4097, 269, 8660, 11304, 476, 10602, 269, 4037, 279, 6550, 563, 3086, 649, 616, 2469, 547, 1806, 10736, 1210, 513, 2110, 4528, 540, 513, 4542, 563, 6524, 649, 1397, 596, 606, 1383, 910, 513, 2656, 12576, 540, 10156, 4542, 912, 10831, 540, 13532, 2608, 476, 273, 269, 273, 815, 476, 10602, 269, 4037, 279, 519, 1267, 538, 6550, 454, 3383, 476, 4097, 269, 8660, 4846, 3160, 547, 875, 1454, 7273, 286, 1656, 1586, 267, 596, 723, 547, 9062, 2179, 540, 11304, 267, 538, 713, 2013, 476, 4097, 269, 8660, 267, 676, 476, 273, 269, 273, 269, 2913, 779, 1294, 281, 476, 4097, 269, 8660, 2608, 476, 273, 269, 273, 815, 476, 10602, 269, 4037, 279, 269, 1924, 476, 4097, 269, 8660, 11304, 568, 4010, 476, 273, 269, 273, 6550, 563, 4131, 779, 1118, 1776, 9819, 1210, 13272, 337, 4528, 540, 513, 4542, 269, 3767, 6460, 1945, 689, 4948, 1272, 267, 585, 3236, 267, 476, 4097, 269, 8660, 4846, 547, 7273, 2597, 540, 22229, 563, 3383, 5173, 910, 476, 4097, 269, 8660, 11304, 540, 22229, 2608, 476, 273, 269, 273, 815, 476, 10602, 269, 4037, 279, 6550, 540, 22229, 269, 1924, 476, 4097, 269, 8660, 4846, 547, 11013, 2527, 568, 4010, 476, 10602, 269, 4037, 279, 563, 2252, 596, 917, 875, 1454, 568, 476, 4097, 269, 8660, 11304, 2597, 538, 6550, 543, 616, 2111, 547, 6460, 621, 609, 946, 540, 1079, 1114, 8747, 540, 513, 4542, 267, 649, 666, 1847, 593, 269, 3767, 649, 616, 2469, 547, 1397, 596, 782, 2164, 538, 7515, 563, 2171, 917, 602, 4093, 4843, 538, 7515, 616, 865, 1454, 20501, 585, 1034, 540, 596, 269, 1284, 1174, 621, 267, 865, 649, 10356, 782, 891, 4093, 538, 12125, 585, 707, 13418, 269, 8729, 547, 713, 596, 666, 3362, 1118, 513, 6476, 476, 4097, 269, 8660, 4846, 6697, 547, 7273, 4093, 563, 9359, 609, 513, 476, 4097, 269, 8660, 4846, 11224, 7273, 3349, 585, 519, 1101, 4542, 912, 347, 298, 559, 9999, 1475, 303, 2432, 1475, 303, 2432, 630, 12898, 24263, 1055, 547, 1079, 8918, 4025, 10245, 4517, 1631, 1294, 476, 4097, 269, 8660, 4846, 3160, 11013, 3349, 585, 519, 2034, 4528, 540, 513, 4542, 912, 2026, 596, 1294, 267, 1310, 24263, 1055, 267, 950, 621, 2501, 547, 875, 1454, 476, 4097, 269, 8660, 11304, 11224, 6550, 267, 519, 4093, 616, 711, 1114, 269, 634, 8273, 1297, 519, 811, 1713, 3017, 269, 5457, 621, 950, 596, 991, 547, 798, 8273, 1297, 982, 476, 4097, 269, 8660, 13532, 6550, 7503, 563, 3086, 596, 4121, 875, 547, 5173 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4211, 534, 6598, 1935, 602, 1281, 711, 3801, 547, 2706, 574, 2821, 513, 968, 20139, 892, 10959, 936, 2199, 3982, 1161, 855, 3096, 519, 3982, 1161, 547, 4739, 513, 811, 11029, 267, 13857, 1620, 563, 1103, 3168, 693, 10350, 3631, 649, 1376, 609, 519, 1476, 25005, 9313, 540, 519, 4563, 20584, 543, 594, 549, 638, 12251, 547, 1294, 1018, 1500, 873, 14323, 269, 1306, 649, 1847, 547, 7810, 3919, 267, 649, 3580, 1413, 693, 2500, 5872, 281, 1548, 1705, 930, 540, 519, 5923, 518, 1827, 832, 1451, 689, 1346, 789, 968, 337, 27968, 892, 286, 1548, 3741, 540, 10350, 798, 3689, 8315, 723, 547, 4001, 721, 286, 1215, 1705, 519, 1931, 540, 12625, 1765, 5575, 8315, 267, 3943, 267, 5053, 543, 3703, 8128, 1860, 519, 3337, 540, 2221, 779, 2486, 286, 1548, 1131, 649, 3668, 952, 713, 1185, 1044, 1114, 888, 12024, 3772, 538, 519, 6908, 540, 3408, 12462, 325, 4193, 938, 1259, 25257, 649, 2253, 8195, 609, 694, 6210, 532, 2263, 637, 593, 1312, 7414, 543, 9533, 5032, 338, 269, 1284, 1246, 519, 3943, 24568, 519, 3268, 540, 3689, 13780, 10274, 24568, 1633, 547, 1106, 954, 24055, 19710, 267, 543, 519, 4332, 540, 519, 631, 18863, 529, 1004, 269, 1284, 1246, 519, 8857, 267, 12138, 27963, 20044, 773, 689, 1010, 968, 4134, 1952, 31212, 892, 585, 599, 883, 519, 11848, 547, 1010, 3903, 540, 519, 29807, 30876, 5211, 630, 22372, 593, 513, 5326, 264, 547, 1265, 513, 8905, 547, 645, 7578, 15346, 320, 593, 519, 7414, 267, 968, 5228, 4516, 676, 2244, 3034, 4415, 519, 24020, 1739, 25825, 476, 3445, 1296, 2663, 267, 649, 1294, 519, 3345, 4639, 10426, 720, 729, 711, 3274, 519, 1445, 540, 513, 5108, 540, 9378, 523, 269, 634, 2197, 602, 3710, 513, 8574, 1063, 5607, 543, 2342, 676, 5374, 7841, 543, 2848, 4461, 1222, 2968, 513, 8574, 1063, 6082, 538, 513, 18371, 1158, 269, 12254, 29124, 15040, 5152, 968, 22139, 8054, 10426, 720, 892, 19306, 713, 6249, 269, 7388, 1154, 713, 1576, 3947, 1053, 513, 2656, 5758, 540, 938, 1686, 563, 24523, 543, 11873, 1107, 3776, 2197, 568, 513, 14951, 7708, 557, 540, 8964, 543, 23929, 689, 1082, 2127, 543, 2798, 540, 5169, 1519, 3689, 8315, 269, 1284, 3580, 581, 11836, 267, 1316, 2358, 543, 1565, 1082, 540, 891, 607, 649, 1995, 938, 1114, 4525, 543, 5389, 269, 1284, 3580, 2721, 593, 2199, 5159, 267, 6791, 543, 3705, 1562, 547, 4001, 721, 8164, 2009, 269, 1879, 649, 723, 1053, 543, 593, 4580, 5234, 4810, 538, 891, 5389, 267, 649, 685, 946, 873, 269, 7087, 267, 2296, 543, 3943, 6340, 22256, 5152, 32392, 689, 4516, 723, 8810, 1158, 1362, 269, 1284, 723, 513, 5458, 4199, 547, 2721, 593, 538, 938, 3232, 631, 1299, 631, 2053, 563, 29441, 338, 543, 12267, 630, 306, 3008, 264, 1107, 1703, 616, 476, 1911, 2854, 20072, 593, 1585, 3344, 540, 4516, 267, 8225, 4296, 267, 543, 519, 8225, 6891, 543, 2418, 269, 2368, 540, 891, 723, 1044, 6592, 547, 8106, 2575, 10080, 269, 1703, 616, 476, 1321, 12535, 267, 1519, 519, 1739, 269, 6423, 5439, 538, 30569, 563, 268, 968, 288, 13474, 585, 892, 28527, 8625, 267, 519, 9061, 532, 267, 519, 15531, 16733, 279, 994, 268, 968, 288, 13780, 540, 2507, 27535, 20551, 267, 7813, 619, 267, 27207, 5443, 267, 24547, 558, 1846, 2560, 263, 2918, 994, 268, 968, 28657, 568, 892, 3126, 281, 513, 6820, 17496, 267, 15328, 6193, 23008, 320, 631, 32121, 630, 277, 538, 782, 994, 268, 968, 4692, 21808, 595, 5971, 748, 281, 892, 18844, 20584, 267, 8402, 681, 1408, 267, 2558, 8775, 879, 9371, 630, 274, 994, 268, 968, 4692, 6598, 32733, 892, 630, 280, 994, 268, 968, 4692, 6598, 29062, 892, 581, 11232, 267, 25308, 6978, 267, 2138, 1729, 267, 13458, 18975, 630, 280, 994, 268, 968, 28657, 779, 2507, 892, 5313, 1915, 267, 1480, 2924, 267, 15815, 15317, 11299, 630, 278, 994, 268, 968, 296, 993, 892, 3126, 281, 519, 8225, 3117, 4109, 1145, 267, 519, 8225, 15552, 630, 277, 994, 268, 1772, 4516, 2507, 9495, 281, 32161, 267, 1863, 267, 16883, 267, 19636, 267, 513, 2197, 630, 277, 994, 268, 968, 763, 8225, 13336, 281, 892, 7104, 267, 17685, 8590, 267, 16004, 531, 267, 8733, 630, 1015, 994, 268, 966, 3126, 281, 8225, 18880, 267, 966, 4150, 903, 267, 22810, 267, 17496, 267, 30576, 720, 584, 630, 1321, 994, 268, 968, 2171, 616, 892, 3126, 281, 23671, 267, 2560, 538, 5384, 270, 22129, 267, 9861, 1299, 29460, 630, 277, 994, 4322, 20072, 666, 581, 1224, 21088, 610, 609, 909, 547, 2185, 9739, 538, 3988, 16222, 269, 3962, 15858, 2507, 2875, 786, 3442, 543, 1459, 835, 540, 891, 538, 513, 14644, 338, 543, 12267, 8400, 267, 4805, 610, 609, 824, 3988, 563, 1805, 3530, 786, 1683, 6351, 538, 7446, 543, 18006, 538, 7041, 269, 3143, 7097, 666, 581, 4843, 585, 6268, 811, 982, 2899, 679, 8905, 267, 1498, 930, 949, 581, 7368, 593, 6728, 13515, 543, 2146, 11564, 563, 763, 968, 560, 1559, 892, 3368, 540, 14644, 338, 543, 12267, 960, 786, 2721, 593, 6805, 5711, 9423, 2245, 543, 824, 12535, 540, 8225, 18691, 269, 3962, 2875, 786, 581, 4280, 547, 1353, 1451, 543, 1459, 1079, 2984, 281, 835, 689, 1010, 17017, 1378, 267, 543, 835, 689, 513, 911, 526, 819, 610, 3148, 824, 982, 1010, 17017, 1378, 563, 763, 2034, 786, 4125, 15360, 609, 2576, 1369, 602, 2245, 269, 12267, 949, 581, 4843, 970, 18556, 24345, 610, 689, 887, 974, 1565, 267, 1498, 705, 13092, 5389, 12797, 519, 5191, 547, 970, 18556, 1125, 936, 973, 2787, 269, 8225, 2239, 9954, 949, 849, 581, 6074, 9706, 18677, 563, 272, 4107, 540, 891, 12331, 941, 2919, 543, 4843, 676, 2160, 540, 22598, 4065, 7905, 3220, 269, 590, 826, 22118, 577, 538, 513, 10927, 1576, 593, 968, 25332, 6326, 267, 5589, 1800, 543, 16214, 1848, 3220, 269, 22118, 577, 2663, 6039, 607, 5084, 300, 693, 22598, 4065, 269, 0, 1432, 568, 21370, 2792, 888, 20877, 545, 2792, 3322, 519, 946, 540, 3308, 1570, 547, 9305, 2093, 971, 607, 12400, 267, 11147, 267, 15942, 267, 543, 25780, 269, 7102, 5420, 602, 3096, 513, 12449, 547, 5351, 538, 23187, 513, 5048, 267, 6044, 267, 610, 606, 2856, 568, 3238, 538, 21370, 2792, 563, 3963, 12449, 616, 1271, 585, 1870, 2792, 888, 24058, 2792, 3091, 513, 10375, 7154, 540, 3375, 1818, 538, 4213, 269, 898, 16881, 2653, 543, 2656, 7664, 540, 1344, 269, 634, 2656, 1344, 4393, 1797, 2656, 543, 4977, 3664, 269, 10439, 2792, 2337, 5561, 547, 1118, 3608, 543, 2656, 3664, 827, 513, 2754, 779, 2472, 563, 1432, 616, 519, 1114, 2010, 540, 12449, 538, 1870, 2792, 888, 1103, 1870, 1603, 543, 2930, 2792, 267, 12449, 616, 1031, 607, 3308, 11269, 547, 1489, 519, 1257, 538, 513, 1867, 267, 11556, 267, 1305, 540, 5528, 267, 610, 2147, 6054, 269, 9537, 540, 12449, 1331, 12125, 267, 12222, 267, 12400, 267, 5515, 267, 11708, 267, 7851, 267, 11147, 267, 543, 7515, 563, 7617, 2792, 568, 1634, 607, 8642, 2792, 888, 24058, 2792, 568, 849, 1634, 607, 8642, 2792, 563, 1432, 729, 519, 1101, 1106, 540, 8642, 2792, 888, 20877, 545, 1374, 666, 581, 14360, 782, 519, 1259, 1394, 547, 476, 1428, 267, 1822, 7460, 267, 950, 519, 1101, 1634, 3308, 10618, 21256, 269, 1452, 3182, 21106, 543, 6698, 616, 1459, 538, 519, 700, 2444, 14513, 23572, 538, 7013, 5333, 269, 16258, 268, 3453, 1896, 8536, 1296, 267, 543, 596, 3580, 3605, 519, 2349, 879, 31790, 563, 1432, 1281, 18753, 9442, 1445, 593, 888, 20877, 545, 2792, 6212, 593, 519, 1374, 267, 1646, 543, 6765, 540, 3308, 4773, 1031, 547, 20794, 1808, 1344, 267, 2093, 610, 4664, 269, 18753, 2792, 4648, 946, 513, 3099, 540, 2923, 547, 6655, 741, 2093, 267, 899, 14318, 267, 10344, 267, 8642, 1374, 543, 14745, 563, 1432, 616, 519, 5383, 540, 8642, 2792, 888, 5278, 540, 519, 1292, 2640, 540, 3308, 2792, 1331, 912, 268, 10439, 11226, 666, 5838, 1344, 811, 2047, 563, 268, 10439, 2792, 568, 811, 8465, 982, 11913, 2792, 563, 268, 10439, 11226, 616, 811, 3007, 3766, 4599, 6883, 543, 2502, 563, 268, 3194, 814, 1044, 2111, 547, 3715, 602, 3308, 2792, 2306, 606, 1764, 593, 519, 5304, 563, 1432, 616, 12449, 1806, 888, 14300, 540, 12449, 1331, 7851, 267, 11147, 267, 6272, 543, 3270, 267, 1920, 4054, 267, 12222, 267, 11265, 610, 4702, 23039, 29251, 267, 3046, 12125, 543, 2650, 12125, 267, 1462, 2762, 267, 1085, 24136, 267, 1899, 1148, 267, 2095, 577, 11301, 267, 543, 1082, 824, 3239, 3029, 563, 3674, 8642, 1374, 519, 1482, 607, 8642, 10618, 888, 20877, 545, 1374, 6212, 593, 1808, 1374, 2609, 267, 543, 8642, 10618, 6212, 593, 519, 4640, 15888, 946, 547, 5968, 3677, 6835, 547, 606, 5304, 563, 1432, 616, 519, 11393, 540, 8642, 2792, 888, 288, 1761, 17498, 728, 540, 3308, 2792, 3322, 519, 946, 540, 14605, 2966, 3308, 11226, 602, 616, 2352, 547, 1174, 610, 1294, 269, 1403, 13061, 1344, 568, 4843, 267, 2592, 666, 849, 581, 16297, 532, 543, 15641, 324, 519, 1620, 540, 2035, 789, 1058, 581, 3843, 547, 12172, 563, 1432, 616, 519, 5383, 540, 5907, 2792, 888, 4696, 309, 19611, 8980, 2464, 5508, 661, 22268, 305, 2177, 2975, 25265, 7419, 2975, 9569, 8899, 1942, 281, 18329, 2792, 17990, 942, 543, 2724, 269, 1280, 1383, 267, 1257, 590, 5960, 568, 14949, 982, 519, 2757, 4484, 269, 16510, 540, 5955, 281, 18329, 2792, 2636, 519, 8216, 5385, 540, 5955, 269, 1924, 2792, 3587, 3501, 1210, 5907, 2923, 563, 1432, 568, 519, 4214, 540, 21370, 2792, 888, 20877, 545, 2792, 3322, 519, 946, 540, 3308, 1570, 547, 9305, 2093, 971, 607, 12400, 267, 11147, 267, 15942, 267, 543, 25780, 269, 634, 12400, 540, 4566, 543, 13217, 906, 543, 513, 11315, 4786, 11516, 3481, 547, 1397, 519, 1259, 1223, 581, 2808, 21370, 2792, 269, 7102, 5420, 602, 3096, 513, 12449, 547, 5351, 538, 23187, 513, 5048, 267, 7498, 1432, 616, 519, 2640, 540, 18753, 18058, 888, 14187, 8642, 10618, 666, 6655, 519, 5758, 540, 513, 5816, 2022, 267, 13686, 513, 1007, 1587, 267, 581, 1031, 547, 5693, 2491, 7194, 267, 543, 1034, 11932, 267, 15498, 3294, 883, 707, 3077, 9458, 685, 8823, 269, 18753, 2792, 26182, 1004, 547, 1491, 2962, 267, 621, 666, 581, 2375, 633, 543, 10388, 563, 1432, 568, 519, 2495, 540, 12449, 538, 1870, 1603, 888, 1103, 1870, 1603, 543, 1099, 3821, 561, 2792, 267, 12449, 616, 1031, 607, 3308, 11269, 547, 1489, 519, 1257, 538, 513, 1867, 267, 11556, 267, 1305, 540, 5528, 267, 610, 2147, 6054, 269, 9537, 540, 12449, 1331, 12125, 267, 12222, 267, 12400, 267, 5515, 267, 11708, 267, 7851, 267, 11147, 267, 543, 7515, 269, 661, 22029, 281, 3245, 519, 5259, 267, 968, 8586, 9731, 1432, 568, 3308, 2792, 538, 10229, 888, 24058, 2792, 568, 519, 6655, 766, 540, 6835, 998, 3308, 11226, 269, 10439, 2792, 12346, 593, 5075, 547, 4309, 543, 1184, 2592, 269, 10439, 11226, 949, 2097, 538, 519, 1106, 540, 10229, 267, 14318, 267, 14745, 267, 8642, 1374, 267, 1462, 2762, 267, 5373, 267, 610, 4853, 1374, 269, 0, 4692, 11671, 15797, 2142, 595, 3293, 2107, 7066, 730, 454, 2467, 616, 513, 1297, 540, 1114, 3681, 2139, 585, 519, 2126, 540, 29302, 538, 519, 7953, 543, 3952, 267, 4470, 593, 519, 5817, 2014, 269, 769, 930, 2665, 267, 2126, 949, 581, 607, 2241, 607, 5883, 519, 5817, 2783, 602, 568, 4929, 29302, 563, 2690, 1383, 267, 952, 29302, 568, 3361, 676, 3987, 267, 2126, 786, 1445, 593, 5329, 1973, 4006, 2157, 896, 1852, 269, 769, 824, 2665, 267, 811, 1808, 5574, 949, 581, 2556, 563, 6944, 13764, 10552, 3794, 26651, 20946, 454, 21093, 1973, 7280, 2157, 896, 1852, 18085, 9258, 8229, 3441, 855, 666, 2061, 2417, 3441, 689, 9648, 269, 2659, 4387, 786, 2285, 596, 1808, 1973, 4006, 3853, 269, 19737, 891, 2157, 2882, 4189, 513, 2635, 2732, 1164, 538, 3940, 543, 1970, 538, 19719, 269, 1879, 596, 3548, 19719, 267, 2119, 547, 3442, 1426, 609, 513, 2362, 6775, 1543, 267, 9319, 13365, 543, 14614, 563, 19894, 3635, 666, 948, 1832, 1973, 4006, 2157, 19242, 676, 2810, 7378, 8417, 267, 2495, 596, 961, 991, 547, 1491, 1447, 7378, 1142, 1554, 269, 15775, 2614, 3207, 568, 849, 1271, 267, 607, 649, 1419, 6159, 557, 1164, 2275, 16808, 3536, 950, 22350, 13110, 563, 1692, 2052, 594, 16473, 12128, 454, 2252, 596, 723, 3987, 267, 621, 30232, 1271, 547, 4383, 707, 912, 268, 10552, 7280, 4586, 2791, 666, 6175 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 540, 3681, 3769, 538, 707, 7552, 689, 519, 3742, 547, 519, 25161, 543, 1256, 519, 14015, 256, 1656, 952, 596, 1616, 547, 3247, 693, 824, 590, 9200, 1014, 18353, 971, 607, 661, 330, 831, 514, 7921, 543, 772, 17427, 27138, 1485, 1175, 1577, 721, 917, 543, 649, 3580, 581, 6126, 547, 1865, 519, 3681, 585, 4946, 891, 547, 707, 1995, 563, 4002, 12625, 538, 27388, 643, 739, 758, 1118, 707, 1378, 1259, 547, 519, 476, 274, 26926, 483, 15678, 269, 630, 2171, 666, 3489, 3928, 585, 9120, 20730, 2307, 513, 4759, 540, 519, 31681, 2319, 585, 3877, 4700, 2659, 5360, 21747, 27084, 303, 871, 568, 2407, 540, 2093, 585, 3478, 519, 1034, 856, 540, 707, 1863, 942, 563, 302, 1233, 3560, 547, 27388, 643, 739, 758, 13749, 1141, 596, 786, 4604, 519, 7054, 330, 7491, 330, 3808, 5721, 563, 763, 18226, 1286, 568, 519, 2295, 540, 1514, 1272, 593, 512, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 30728, 1315, 5607, 1315, 5101, 1315, 31322, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 5149, 476, 278, 281, 18181, 585, 2657, 543, 23046, 281, 4400, 19871, 31204, 543, 5259, 962, 690, 4669, 15369, 667, 17143, 338, 692, 7072, 912, 1103, 2221, 781, 1158, 267, 972, 568, 606, 2810, 4656, 827, 519, 2956, 540, 4509, 513, 2635, 6197, 998, 1697, 6484, 269, 2060, 865, 1082, 8192, 3681, 543, 20849, 1344, 267, 621, 666, 581, 4101, 547, 3313, 519, 1655, 1935, 585, 6099, 1072, 269, 901, 1770, 786, 1445, 593, 1164, 3940, 10346, 543, 5259, 18506, 2861, 28916, 602, 616, 1312, 8949, 543, 7067, 269, 1635, 6220, 891, 3536, 883, 707, 3232, 6980, 267, 596, 786, 2087, 707, 2949, 1072, 1247, 17598, 707, 6492, 19512, 780, 11947, 19871, 31204, 912, 3682, 12888, 4249, 513, 2565, 1909, 538, 938, 4703, 676, 2679, 543, 28472, 8031, 267, 6721, 10399, 543, 11476, 267, 543, 3246, 2497, 547, 2281, 543, 8219, 269, 3117, 11167, 7850, 5666, 540, 3940, 2337, 2226, 4887, 2527, 267, 7028, 4761, 1599, 267, 543, 8992, 2893, 328, 1214, 267, 1818, 621, 4443, 547, 4383, 2597, 269, 1879, 8939, 5946, 267, 1904, 585, 10709, 2959, 971, 607, 9269, 267, 21429, 267, 3165, 267, 5798, 267, 22053, 267, 543, 1970, 19339, 10683, 2472, 780, 3080, 2442, 1164, 3940, 11600, 568, 519, 918, 1446, 623, 14040, 674, 761, 339, 1092, 5018, 538, 519, 6679, 1349, 269, 634, 4999, 540, 25989, 543, 5798, 2488, 606, 5140, 2707, 540, 3940, 267, 8324, 267, 543, 6886, 269, 1677, 5965, 519, 8670, 267, 1094, 583, 2946, 22872, 25989, 2394, 27315, 1540, 543, 3575, 609, 29041, 5798, 19023, 609, 6070, 267, 14723, 267, 543, 7969, 11922, 269, 32449, 519, 7848, 883, 513, 6067, 1078, 2650, 6676, 543, 27106, 693, 476, 12573, 13790, 585, 476, 736, 3764, 610, 2394, 1305, 269, 31160, 3905, 610, 4411, 543, 2972, 607, 513, 17598, 14254, 267, 12899, 267, 610, 12129, 4781, 780, 5194, 1164, 3940, 11600, 568, 2372, 29184, 853, 4428, 539, 13852, 3212, 13827, 269, 2372, 29184, 568, 513, 2347, 3940, 5627, 782, 8370, 1898, 11254, 7408, 269, 28799, 11273, 844, 29184, 609, 2666, 5779, 630, 577, 1157, 523, 267, 21429, 267, 610, 14132, 1070, 546, 5367, 14274, 267, 13342, 267, 19637, 267, 543, 14546, 269, 19130, 10300, 1386, 11350, 18717, 609, 519, 7848, 543, 27106, 693, 476, 23841, 13790, 585, 476, 1789, 3764, 610, 2394, 13035, 269, 1452, 28077, 18717, 2709, 513, 7059, 7594, 14095, 609, 6775, 267, 6171, 595, 267, 543, 4401, 780, 31528, 962, 690, 4669, 15369, 667, 17143, 338, 912, 4407, 12145, 4006, 6981, 568, 2629, 585, 1434, 1072, 267, 14874, 26265, 15587, 949, 1291, 547, 4606, 540, 19231, 543, 22638, 18656, 10885, 269, 589, 3070, 547, 14183, 707, 6653, 5694, 1510, 18731, 1072, 2640, 568, 1210, 5259, 18506, 607, 513, 3490, 585, 18397, 10346, 269, 5259, 18506, 3568, 5595, 519, 2179, 540, 3940, 3379, 547, 2834, 18506, 267, 1818, 621, 606, 4998, 3903, 585, 2022, 22086, 719, 6051, 610, 513, 11423, 15165, 269, 3958, 267, 5259, 18506, 3091, 22763, 602, 1489, 8937, 1072, 267, 7513, 585, 5642, 5860, 267, 543, 11379, 585, 2295, 1599, 780, 288, 2241, 2943, 1232, 611, 550, 5259, 18506, 2861, 18397, 568, 28688, 2997, 665, 5964, 631, 28907, 269, 2349, 754, 22691, 19146, 15606, 267, 5667, 11548, 2989, 23342, 8869, 267, 5259, 18506, 267, 9932, 267, 29877, 1349, 267, 543, 30288, 5144, 2394, 5347, 269, 4676, 3419, 4733, 585, 1896, 3108, 1354, 7674, 21959, 1639, 609, 4195, 15708, 543, 695, 8491, 10217, 269, 901, 544, 28907, 19646, 2635, 9600, 267, 14434, 267, 543, 3940, 267, 2870, 513, 3501, 3666, 1063, 18656, 10885, 543, 29454, 780, 2690, 1346, 945, 4782, 4829, 10366, 267, 9791, 9440, 4258, 525, 1815, 820, 3474, 17304, 1080, 1683, 513, 24253, 1521, 269, 23771, 5259, 18506, 6404, 609, 11993, 1990, 652, 267, 9932, 267, 543, 29877, 1349, 609, 30207, 19184, 539, 538, 18654, 10433, 543, 4006, 269, 19244, 6106, 538, 14296, 610, 26633, 543, 1283, 609, 16760, 1178, 5069, 11523, 619, 610, 11491, 7637, 585, 3773, 9403, 269, 17949, 607, 513, 1769, 18397, 610, 544, 1342, 599, 4584, 24578, 5346, 780, 6962, 912, 3528, 10128, 1164, 3940, 10346, 899, 918, 1446, 623, 14040, 674, 761, 339, 1092, 543, 2372, 29184, 853, 4428, 539, 13852, 3212, 13827, 7258, 5259, 18506, 2861, 28916, 971, 607, 28688, 2997, 665, 5964, 631, 28907, 543, 9791, 9440, 4258, 525, 1815, 820, 3474, 17304, 1080, 267, 596, 666, 1711, 29316, 543, 14312, 6980, 602, 3895, 1072, 543, 8171, 269, 5457, 547, 6432, 547, 707, 1560, 781, 26351, 543, 946, 873, 607, 6667, 585, 5368, 28124, 5929, 8286, 609, 27357, 5820, 269, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 298, 1446, 623, 14040, 674, 761, 339, 1092, 630, 303, 1446, 334, 267, 2398, 2711, 267, 19940, 1789, 264, 543, 5440, 476, 277, 595, 9545, 902, 5174, 755, 532, 9669, 454, 2080, 779, 875, 594, 2097, 909, 609, 10346, 281, 594, 1376, 609, 513, 6159, 1324, 543, 1287, 594, 1121, 820, 621, 267, 1072, 2685, 269, 2334, 1259, 267, 594, 2760, 1745, 27226, 543, 594, 1205, 519, 2647, 3099, 540, 5567, 594, 991, 547, 1832, 1250, 1072, 630, 663, 2597, 267, 2960, 267, 1648, 267, 3207, 267, 3092, 4700, 593, 3950, 563, 7069, 3804, 568, 547, 4001, 596, 547, 798, 519, 1482, 269, 594, 6557, 2324, 2182, 593, 3384, 7594, 4566, 1107, 5741, 966, 2320, 3599, 2725, 531, 12697, 256, 1107, 585, 596, 267, 609, 10918, 8638, 267, 16801, 5986, 5528, 267, 4859, 5528, 267, 543, 4388, 585, 579, 6137, 610, 16715, 519, 16087, 1293, 267, 1759, 593, 707, 2123, 6484, 3853, 269, 1358, 3580, 581, 2139, 585, 6718, 593, 1250, 1007, 23046, 5682, 7935, 628, 476, 1789, 28233, 7420, 3896, 269, 1403, 596, 2461, 5461, 538, 1373, 711, 1881, 950, 789, 2461, 4712, 267, 1118, 2386, 596, 2461, 20401, 539, 547, 1250, 5741, 966, 2320, 3599, 2725, 531, 12697, 4757, 1592, 2336, 3383, 267, 7058, 1018, 594, 729, 6159, 1324, 950, 594, 3357, 909, 609, 713, 535, 761, 339, 1092, 286, 670, 1695, 21036, 269, 594, 1810, 1406, 917, 513, 1268, 9800, 945, 3085, 1406, 6159, 557, 16741, 269, 5213, 1406, 1205, 803, 4636, 1107, 12212, 594, 10943, 25973, 593, 1350, 1393, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 2657, 1299, 23046, 1315, 4400, 19871, 1315, 5259, 962, 690, 4669, 15369, 667, 17143, 338, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 634, 27067, 540, 519, 5564, 3363, 543, 4706, 10020, 538, 1763, 12371, 12832, 31804, 10224, 8191, 23540, 692, 1103, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1523, 540, 519, 834, 342, 529, 3256, 540, 519, 21318, 257, 543, 2263, 875, 621, 666, 4196, 607, 513, 3532, 1907, 1996, 28974, 20816, 267, 1210, 519, 2013, 1353, 540, 12832, 31804, 7699, 269, 1284, 2253, 676, 6313, 519, 8129, 540, 713, 2856, 267, 799, 4266, 1394, 547, 3504, 10255, 543, 723, 1044, 2919, 2390, 676, 2413, 2797, 15806, 899, 9473, 528, 322, 564, 269, 1284, 1287, 5659, 875, 7104, 4987, 543, 3375, 6194, 666, 4161, 28974, 4341, 267, 5373, 4296, 1063, 3069, 543, 2259, 998, 1483, 8996, 1806, 689, 4207, 12832, 31804, 7699, 269, 14936, 267, 649, 1865, 1761, 2994, 585, 19713, 519, 1379, 540, 519, 21318, 538, 1931, 547, 3895, 9111, 543, 5706, 28974, 21274, 780, 272, 269, 17959, 540, 519, 27067, 540, 519, 5564, 3363, 692, 4263, 922, 4295, 267, 519, 7326, 540, 519, 21318, 4016, 547, 519, 10206, 602, 1804, 2516, 540, 1004, 267, 950, 2324, 15217, 267, 666, 1118, 1732, 3664, 982, 1507, 16918, 2516, 267, 1256, 952, 1367, 2818, 616, 1447, 5827, 269, 901, 2856, 729, 1101, 6069, 676, 5259, 14544, 17127, 267, 945, 11130, 602, 834, 527, 568, 2009, 602, 519, 1082, 267, 1498, 711, 14350, 1434, 2367, 267, 2943, 950, 789, 2097, 1927, 949, 581, 1732, 267, 711, 14350, 855, 15217, 1701, 630, 288, 2077, 13444, 267, 15348, 2020, 17457, 2797, 3744, 723, 2417, 15568, 713, 1523, 267, 1034, 16113, 3057, 638, 529, 632, 9473, 528, 322, 564, 267, 513, 3943, 22301, 543, 14544, 269, 3571, 21139, 11532, 29102, 602, 607, 1279, 607, 1142, 4759, 540, 513, 1895, 814, 513, 5506, 3152, 982, 476, 271, 269, 276, 540, 1818, 513, 2953, 3375, 267, 2810, 519, 1297, 540, 2043, 3238, 5012, 547, 513, 2362, 10171, 540, 8236, 519, 1318, 6364, 269, 1717, 267, 713, 17648, 602, 17037, 262, 5079, 616, 4830, 910, 513, 2783, 10355, 1558, 538, 4641, 780, 273, 269, 5668, 27701, 8191, 9107, 14329, 3414, 11814, 633, 11106, 692, 8624, 29193, 2962, 23185, 676, 3838, 1702, 543, 1344, 666, 3927, 25559, 28974, 20816, 269, 1879, 4961, 29050, 5531, 267, 1184, 267, 543, 22412, 622, 1239, 827, 2229, 3527, 543, 4507, 267, 789, 1711, 606, 4244, 2707, 540, 5168, 602, 14944, 1149, 4013, 6386, 269, 4317, 2923, 5867, 267, 20261, 8924, 267, 543, 824, 3059, 2645, 7520, 2792, 1851, 3309, 11051, 267, 7175, 873, 547, 11282, 3646, 543, 24244, 9739, 269, 1452, 5121, 849, 6536, 1565, 3255, 267, 3850, 5171, 547, 2087, 741, 2565, 3206, 1983, 543, 3986, 741, 2702, 547, 1118, 5483, 3664, 780, 288, 6305, 1383, 540, 713, 7613, 11200, 539, 1282, 12832, 31804, 7699, 781, 4989, 476, 1001, 279, 17600, 1996, 1514, 3354, 15024, 13684, 676, 5518, 12253, 2107, 974, 8615, 781, 12512, 269, 22893, 1031, 16389, 543, 1514, 2923, 547, 3561, 1480, 2924, 19374, 8149, 676, 1533, 4229, 543, 2671, 2963, 2861, 5359, 609, 3084, 543, 3486, 9458, 269, 1635, 4931, 28124, 2757, 3377, 9055, 6417, 676, 519, 2229, 267, 15628, 6707, 6534, 1065, 1833, 12485, 543, 21959, 1229, 7839, 1489, 585, 741, 2014, 780, 274, 269, 11150, 585, 4498, 1145, 532, 519, 5295, 540, 519, 5564, 3363, 18830, 8191, 23540, 692, 2414, 11694, 519, 1764, 540, 7104, 2962, 1996, 2278, 23540, 267, 1896, 1883, 2994, 1058, 581, 2808, 1384, 320, 264, 8490, 3376, 5755, 1431, 281, 1133, 1746, 1585, 9922, 540, 2486, 27137, 607, 3540, 2486, 3906, 267, 3909, 5238, 267, 4213, 267, 543, 24243, 1765, 560, 21880, 1492, 985, 4187, 5322, 676, 4129, 4328, 5380, 543, 9750, 3914, 269, 898, 849, 11942, 6043, 1996, 8954, 633, 12485, 6964, 676, 1313, 7095, 3401, 5275, 547, 14020, 11685, 16034, 780, 321, 264, 674, 29183, 5188, 543, 18064, 3130, 281, 18964, 1930, 5717, 2636, 4961, 547, 1451, 689, 835, 1776, 267, 5385, 2093, 267, 543, 1628, 13618, 1472, 3838, 3853, 269, 5548, 9200, 894, 3157, 666, 948, 7753, 26445 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1012, 13723, 267, 2904, 476, 1240, 267, 476, 1001, 272, 692, 2162, 5681, 1299, 8605, 10658, 14794, 692, 311, 543, 962, 616, 1079, 1114, 9981, 267, 3152, 982, 476, 272, 267, 609, 2040, 1447, 982, 476, 1911, 269, 590, 543, 623, 616, 1079, 22697, 282, 590, 6487, 519, 2040, 2473, 266, 312, 267, 623, 6487, 519, 1587, 2473, 265, 312, 267, 543, 1312, 917, 519, 1344, 538, 891, 1079, 5220, 269, 634, 1739, 6643, 4386, 780, 265, 623, 3081, 834, 296, 3112, 1265, 891, 2338, 4799, 265, 590, 3081, 834, 296, 729, 2386, 602, 596, 1223, 711, 1265, 873, 4799, 265, 623, 3081, 834, 10190, 267, 594, 1336, 891, 2338, 4799, 265, 590, 3081, 834, 2252, 596, 1223, 1265, 873, 267, 1287, 594, 849, 1336, 873, 3010, 1432, 616, 891, 2338, 888, 11405, 692, 763, 3070, 814, 2473, 543, 962, 607, 476, 275, 543, 476, 1724, 630, 528, 13030, 17930, 1070, 609, 623, 7620, 6616, 519, 1587, 568, 476, 7367, 543, 590, 6616, 519, 2040, 568, 476, 1704, 780, 22873, 6053, 623, 1281, 711, 917, 519, 3070, 267, 2094, 692, 7367, 815, 476, 275, 6398, 476, 1724, 815, 476, 273, 6398, 476, 2918, 692, 663, 590, 6487, 602, 623, 1281, 711, 917, 519, 3070, 2094, 782, 519, 2009, 18304, 547, 476, 1704, 1369, 519, 10148, 3132, 13974, 24813, 2472, 269, 1717, 267, 1142, 666, 960, 856, 519, 3070, 676, 14874, 824, 7399, 1739, 519, 824, 781, 6898, 543, 602, 568, 2614, 585, 519, 5467, 547, 1265, 519, 3070, 2016, 519, 10148, 269, 0, 258, 23664, 6975, 1109, 2862, 692, 2296, 1546, 28852, 454, 292, 8882, 6686, 15590, 2426, 454, 21158, 454, 12385, 3012, 1731, 454, 304, 3633, 292, 304, 454, 23945, 2426, 454, 10908, 1601, 541, 454, 22209, 19213, 331, 2426, 454, 3682, 339, 12111, 454, 9743, 718, 566, 454, 2304, 548, 527, 2426, 454, 288, 1380, 10402, 8421, 1731, 454, 7468, 7564, 323, 1731, 22760, 8421, 1731, 454, 304, 3633, 292, 304, 454, 3525, 592, 4813, 601, 1627, 3633, 292, 304, 7956, 454, 8722, 327, 2401, 454, 298, 2632, 752, 339, 454, 306, 14403, 777, 454, 3682, 339, 12111, 1315, 6751, 2862, 1627, 3633, 292, 304, 5336, 617, 592, 1315, 4813, 601, 692, 2080, 568, 606, 1101, 3801, 547, 6101, 1125, 513, 4542, 538, 519, 1627, 3633, 292, 304, 1893, 1384, 3499, 3201, 15771, 5723, 4953, 28701, 27835, 288, 3299, 1412, 289, 3299, 1412, 290, 3299, 10371, 267, 1412, 313, 3299, 1412, 271, 3299, 1412, 272, 3299, 1412, 273, 3299, 10371, 10086, 280, 3299, 1412, 263, 3299, 1412, 264, 262, 10926, 310, 3036, 9169, 28701, 2715, 630, 320, 318, 272, 267, 513, 318, 273, 267, 513, 318, 274, 267, 10371, 1421, 513, 5332, 264, 538, 9904, 18898, 267, 609, 562, 513, 2067, 454, 10831, 610, 476, 271, 10926, 266, 2433, 20796, 9169, 9847, 20796, 9169, 454, 5416, 318, 272, 267, 10371, 1421, 513, 5332, 1070, 630, 321, 318, 272, 267, 10371, 1421, 536, 8548, 264, 2433, 15010, 630, 320, 318, 272, 267, 10371, 1421, 513, 5332, 267, 536, 318, 272, 267, 10371, 1421, 536, 8548, 2020, 1492, 834, 24105, 2262, 257, 630, 271, 2389, 340, 921, 264, 568, 513, 9243, 3693, 540, 713, 5106, 563, 263, 3201, 15771, 5723, 4953, 267, 1341, 264, 814, 519, 15821, 2497, 540, 606, 1395, 1355, 454, 22607, 2788, 1895, 609, 9243, 3693, 552, 630, 1492, 476, 271, 2389, 340, 921, 4917, 553, 8912, 267, 519, 5106, 1341, 568, 6905, 547, 960, 593, 519, 454, 13607, 775, 1305, 540, 1913, 630, 604, 589, 15410, 540, 20796, 9169, 267, 645, 15410, 540, 20796, 9169, 2676, 6533, 589, 1341, 645, 28701, 2715, 513, 1341, 536, 1923, 513, 538, 589, 267, 536, 538, 645, 348, 2020, 2690, 513, 10156, 1603, 649, 2328, 834, 320, 1341, 645, 257, 476, 858, 649, 1611, 834, 346, 320, 348, 1341, 645, 257, 630, 5976, 454, 320, 3693, 689, 20796, 9169, 543, 645, 513, 15410, 689, 20796, 9169, 1040, 1323, 11530, 748, 649, 454, 31095, 834, 288, 1341, 536, 257, 476, 858, 649, 1611, 834, 288, 1341, 2715, 321, 348, 257, 630, 5976, 589, 513, 15410, 689, 20796, 9169, 543, 454, 321, 3693, 689, 20796, 9169, 6393, 9827, 585, 513, 10156, 1603, 834, 263, 2580, 834, 2437, 267, 834, 17983, 630, 5228, 8913, 1255, 264, 543, 834, 266, 257, 616, 454, 6866, 2854, 269, 661, 3052, 12727, 834, 29582, 257, 6763, 585, 834, 263, 320, 264, 1341, 630, 321, 264, 1341, 630, 322, 17983, 543, 454, 257, 5723, 257, 585, 834, 288, 1341, 645, 257, 630, 5976, 513, 267, 536, 267, 524, 2609, 689, 9338, 15771, 5723, 4953, 543, 589, 267, 645, 454, 11357, 338, 1115, 610, 2609, 689, 20796, 9169, 6393, 2171, 2161, 589, 568, 513, 834, 11357, 2262, 257, 540, 645, 267, 476, 858, 972, 616, 2609, 772, 267, 966, 540, 20796, 9169, 454, 810, 602, 645, 815, 772, 16787, 780, 6016, 2209, 593, 5036, 540, 20796, 9169, 912, 257, 347, 257, 6763, 585, 606, 9769, 630, 28072, 814, 8766, 476, 273, 7440, 2676, 8882, 1460, 10035, 994, 288, 1923, 645, 28701, 2715, 320, 3693, 540, 589, 610, 3693, 689, 645, 8679, 257, 265, 257, 6763, 585, 606, 7368, 12136, 267, 519, 1297, 540, 891, 20825, 454, 322, 746, 581, 476, 271, 630, 821, 4661, 267, 2022, 25785, 10035, 994, 288, 265, 28701, 2715, 324, 267, 513, 267, 513, 320, 267, 513, 12711, 267, 513, 12711, 320, 267, 3267, 609, 513, 689, 589, 8679, 257, 14277, 834, 316, 257, 1796, 585, 606, 18593, 12136, 630, 821, 4661, 267, 840, 268, 543, 454, 14006, 25785, 10035, 994, 314, 288, 316, 28701, 2715, 324, 348, 9769, 589, 692, 21254, 5456, 3951, 28701, 1412, 272, 262, 347, 262, 273, 262, 347, 262, 274, 262, 347, 262, 275, 262, 347, 262, 276, 262, 347, 262, 277, 262, 347, 262, 278, 262, 347, 262, 279, 262, 347, 262, 280, 7055, 291, 5456, 3951, 28701, 1412, 271, 262, 347, 27020, 5456, 3951, 454, 301, 9331, 21612, 28701, 27020, 5456, 3951, 667, 5456, 3951, 20330, 306, 18510, 297, 17614, 318, 309, 2752, 296, 21764, 28701, 1412, 309, 2752, 3488, 715, 9331, 21612, 1412, 264, 7055, 11266, 3633, 2975, 12442, 318, 309, 2752, 296, 21764, 2433, 23751, 262, 11266, 3633, 309, 2752, 3488, 715, 9331, 21612, 22207, 3488, 590, 18510, 297, 17614, 318, 309, 2752, 296, 21764, 630, 12887, 590, 18510, 297, 17614, 318, 309, 2752, 296, 21764, 12684, 1412, 4297, 7055, 24165, 303, 5308, 296, 3582, 318, 309, 2752, 296, 21764, 28701, 1412, 24165, 303, 3488, 715, 9331, 21612, 1412, 264, 28847, 2969, 6865, 2975, 318, 19489, 300, 308, 6369, 28701, 11553, 3633, 2975, 12442, 318, 309, 2752, 296, 21764, 1923, 11550, 303, 5308, 296, 3582, 318, 309, 2752, 296, 21764, 692, 2171, 5581, 513, 1599, 834, 16451, 257, 543, 513, 1599, 834, 20129, 257, 602, 7851, 1169, 454, 2969, 6865, 2975, 318, 19489, 300, 308, 6369, 547, 513, 15410, 540, 590, 18510, 297, 17614, 318, 309, 2752, 296, 21764, 1384, 16451, 263, 2969, 6865, 2975, 318, 19489, 300, 308, 6369, 264, 9847, 590, 18510, 297, 17614, 318, 309, 2752, 296, 21764, 692, 4131, 674, 581, 538, 623, 6020, 10933, 318, 19489, 300, 308, 6369, 912, 16451, 263, 293, 264, 28701, 2715, 306, 1923, 590, 568, 1016, 2262, 540, 674, 543, 590, 568, 538, 454, 306, 18510, 297, 17614, 318, 309, 2752, 296, 21764, 8679, 20129, 263, 293, 264, 28701, 2715, 10926, 852, 649, 16571, 1947, 5581, 519, 15410, 540, 20796, 9169, 834, 19489, 300, 308, 6369, 257, 543, 8831, 454, 1492, 11890, 540, 834, 16451, 257, 543, 834, 20129, 257, 1384, 272, 269, 1169, 11083, 6865, 2975, 318, 19489, 300, 308, 6369, 568, 513, 11123, 300, 308, 6369, 692, 273, 269, 952, 674, 568, 538, 11123, 300, 308, 6369, 267, 1287, 454, 262, 27237, 3488, 674, 1412, 264, 262, 568, 849, 538, 11123, 300, 308, 6369, 543, 649, 5581, 454, 16451, 3488, 27237, 3488, 674, 1412, 264, 10807, 28701, 1863, 263, 293, 994, 20129, 3488, 27237, 3488, 674, 1412, 264, 10807, 28701, 3808, 263, 293, 2020, 274, 269, 952, 674, 543, 717, 616, 538, 11123, 300, 308, 6369, 267, 1863, 263, 293, 264, 543, 3808, 31855, 264, 723, 606, 8900, 454, 5793, 7611, 267, 3808, 263, 293, 264, 543, 1863, 31855, 264, 723, 606, 8900, 10167, 2676, 6533, 519, 1739, 1913, 616, 849, 538, 11123, 300, 308, 6369, 912, 262, 13263, 3488, 674, 1412, 10086, 717, 1412, 264, 7055, 262, 3036, 3488, 674, 1412, 10086, 717, 1412, 264, 7055, 262, 296, 6573, 299, 3488, 674, 1412, 10086, 717, 1412, 264, 7055, 262, 292, 12702, 296, 3488, 674, 1412, 10086, 717, 1412, 264, 7055, 4131, 670, 581, 835, 540, 891, 1007, 2609, 267, 1287, 649, 5581, 912, 16451, 263, 295, 264, 28701, 1863, 263, 295, 264, 9769, 1863, 31855, 994, 20129, 263, 295, 264, 28701, 3808, 263, 295, 264, 9769, 3808, 31855, 2020, 275, 269, 952, 674, 568, 538, 11123, 300, 308, 6369, 267, 543, 2473, 568, 538, 590, 18510, 297, 17614, 318, 309, 2752, 296, 21764, 609, 1535, 538, 454, 16451, 11583, 1070, 1287, 519, 1739, 1913, 616, 849, 538, 11123, 300, 308, 6369, 912, 262, 19489, 17920, 3488, 1535, 1412, 10086, 535, 1412, 264, 7055, 262, 13052, 3041, 4811, 3488, 1535, 1412, 10086, 535, 1412, 264, 7055, 4131, 554, 581, 835, 540, 891, 1007, 4542, 267, 1287, 649, 5581, 912, 16451, 22607, 264, 28701, 1863, 6600, 264, 14263, 2715, 343, 8679, 20129, 22607, 264, 28701, 3808, 6600, 264, 9769, 2715, 343, 10926, 7884, 26303, 476, 3192, 271, 268, 4905, 268, 4905, 476, 4905, 281, 876, 281, 876, 266, 18089, 271, 0, 258, 1215, 519, 13095, 1091, 540, 12736, 940, 513, 6215, 582, 3657, 6726, 730, 692, 306, 14309, 6191, 616, 513, 1106, 540, 13989, 602, 568, 1336, 538, 8732, 16394, 543, 824, 2010, 540, 13989, 28503, 269, 1452, 3756, 616, 513, 2603, 540, 1187, 543, 666, 849, 581, 513, 1390, 1259, 547, 7118, 930, 6666, 269, 1717, 267, 789, 616, 513, 3014, 540, 4960, 267, 543, 621, 779, 1271, 547, 1174, 875, 789, 960, 1354, 596, 1376, 4730, 780, 763, 12918, 540, 10888, 593, 513, 18921, 616, 7229, 1210, 519, 2596, 6128, 3297, 5506, 269, 1452, 12918, 616, 2653, 547, 5173, 267, 855, 789, 666, 581, 14845, 952, 596, 2461, 1007, 547, 27061, 269, 901, 2376, 786, 948, 596, 1451, 811, 827, 891, 12918, 543, 875, 547, 1118, 519, 1034, 540, 873, 780, 23536, 1464, 1031, 547, 581, 2241, 267, 855, 609, 519, 4473, 540, 1528, 4435, 22817, 18921, 6191, 543, 3381, 27061, 267, 621, 2968, 1454, 811, 7294, 269, 589, 18921, 3684, 779, 12918, 616, 7229, 676, 513, 4351, 1297, 11718, 630, 305, 7582, 264, 543, 1759, 593, 519, 2628, 14456, 540, 519, 1808, 3684, 596, 2461, 4730, 780, 2791, 666, 1265, 519, 681, 7582, 593, 1034, 18921, 6191, 538, 606, 1858, 2630, 519, 556, 1564, 269, 634, 681, 7582, 568, 513, 2780, 1982, 602, 568, 3743, 585, 519, 12918, 540, 10888, 593, 1142, 8095, 780, 763, 681, 7582, 1568, 676, 10451, 1614, 5991, 3784, 9696, 602, 616, 1287, 1031, 547, 3313, 707, 7222, 556, 601, 4087, 269, 1452, 616, 2356, 3833, 1804, 2338, 267, 855, 519, 681, 7582, 666, 581, 14661, 547, 3132, 4130, 610, 3677, 2338, 780, 4322, 9696, 616, 1287, 25528, 5196, 519, 556, 1564, 676, 519, 3684, 779, 4835, 5311, 3349, 269, 634, 681, 7582, 786, 1287, 946, 602, 5311, 547, 3313, 799, 3090, 1058, 2408, 593, 519, 18921, 556, 601, 1985, 267, 543, 713, 786, 9594, 519, 2628, 719, 540, 519, 3094, 780, 2971, 1215, 547, 1224, 519, 2628, 14456, 593, 513, 18921, 692, 2691, 596, 2461, 4730, 513, 18921, 267, 596, 1058, 2141, 581, 3168, 585, 513, 2143, 2628, 14456, 602, 6941, 1018, 6698, 596, 666, 2503, 547, 1294, 543, 875, 1454, 596, 666, 3094, 689, 1142, 3090, 269, 1411, 1058, 849, 581, 2111, 547, 1265, 1344, 827, 1022, 2027, 6698, 602, 519, 18921, 3091, 267, 1519, 3552, 338, 543, 1085, 520, 1562, 780, 27039, 593, 519, 1826, 540, 18921, 596, 2461, 4730, 267, 596, 949, 581, 2111, 547, 1265, 513, 2628, 14456, 602, 8638, 519, 3328, 2132, 540, 519, 3014, 269, 901, 568, 513, 1434, 13525, 540, 2436, 610, 711, 519, 18921, 814, 1164, 610, 1970, 25359, 780, 288, 1970, 13065, 18921, 786, 581, 1447, 2693, 547, 2628, 856, 2462, 5666, 267, 855, 621, 786, 849, 723, 513, 2539, 4960, 540, 9561, 2724, 269, 2201, 519, 824, 1688, 267, 513, 18921, 609, 513, 1164 ]	[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]

[ 4732, 1828, 568, 7183, 281, 1582, 4732, 1828, 815, 6443, 5560, 858, 263, 32188, 338, 267, 21055, 4917, 825, 952, 1582, 23584, 518, 568, 7183, 281, 1582, 23584, 518, 815, 9041, 516, 2897, 318, 6919, 4311, 6745, 6374, 622, 267, 3961, 2020, 825, 1948, 4990, 856, 2942, 1871, 585, 3954, 652, 267, 786, 711, 581, 13087, 952, 4881, 896, 12877, 13695, 454, 825, 952, 3954, 652, 2999, 476, 271, 281, 3954, 652, 815, 630, 271, 952, 9041, 335, 2988, 344, 3116, 910, 6577, 652, 2020, 825, 1948, 4990, 856, 3954, 652, 284, 272, 454, 825, 952, 3954, 652, 2652, 476, 272, 281, 3954, 652, 815, 476, 2004, 692, 825, 1948, 9337, 519, 9268, 2418, 454, 825, 1582, 20216, 1440, 338, 815, 1163, 3464, 454, 825, 1582, 269, 32188, 338, 815, 6698, 454, 825, 1582, 6155, 580, 1080, 815, 9704, 454, 825, 1582, 4732, 273, 323, 815, 521, 273, 323, 454, 825, 1582, 269, 24987, 815, 2626, 454, 825, 1582, 6155, 626, 3307, 815, 3982, 454, 825, 1582, 7456, 527, 1968, 815, 21055, 454, 825, 1582, 6155, 523, 652, 815, 3954, 652, 454, 825, 1582, 19709, 743, 815, 3616, 454, 825, 1582, 269, 14620, 846, 815, 8231, 846, 454, 825, 1582, 11519, 6919, 815, 1913, 454, 825, 1582, 11519, 514, 20777, 815, 23380, 454, 825, 1582, 11519, 573, 580, 1080, 815, 7329, 580, 1080, 454, 825, 1582, 11519, 1410, 1440, 338, 815, 630, 1410, 1440, 338, 267, 1535, 338, 267, 5288, 267, 512, 338, 267, 861, 916, 994, 825, 1582, 11519, 15263, 539, 815, 476, 272, 692, 476, 1948, 1711, 543, 29289, 519, 3009, 454, 476, 1948, 10691, 292, 281, 519, 6383, 3009, 666, 723, 811, 982, 476, 736, 29005, 7161, 2676, 476, 1948, 799, 12651, 513, 16522, 1314, 13286, 538, 8713, 3155, 269, 589, 960, 19925, 568, 547, 946, 12877, 13695, 454, 476, 1948, 3079, 630, 6518, 3085, 1405, 3100, 547, 723, 713, 20159, 994, 476, 1219, 9041, 2181, 6768, 4311, 17107, 825, 3490, 815, 1582, 12500, 848, 454, 825, 6698, 815, 1582, 269, 32188, 338, 454, 825, 9704, 815, 1582, 6155, 580, 1080, 454, 825, 521, 273, 323, 815, 1582, 4732, 273, 323, 454, 825, 546, 273, 328, 815, 1582, 6155, 273, 328, 454, 825, 2626, 815, 1582, 269, 24987, 454, 825, 3982, 815, 1582, 6155, 626, 3307, 454, 825, 21055, 815, 1582, 7456, 527, 1968, 454, 825, 26195, 815, 1582, 269, 523, 341, 454, 825, 3009, 815, 1582, 6983, 1712, 454, 825, 556, 4650, 815, 1582, 18622, 4650, 454, 825, 3954, 652, 815, 1582, 6155, 523, 652, 454, 825, 3616, 815, 1582, 19709, 743, 454, 825, 521, 2033, 815, 1582, 4732, 2033, 454, 825, 24633, 815, 1582, 9884, 7568, 454, 825, 1904, 815, 1582, 269, 9953, 454, 825, 8231, 846, 815, 1582, 269, 14620, 846, 692, 825, 1913, 815, 1582, 11519, 6919, 454, 825, 23380, 815, 1582, 11519, 514, 20777, 454, 825, 7329, 580, 1080, 815, 1582, 11519, 573, 580, 1080, 454, 825, 630, 1410, 1440, 338, 267, 1535, 338, 267, 5288, 267, 512, 338, 267, 861, 916, 264, 815, 1582, 11519, 1410, 1440, 338, 692, 825, 1948, 3977, 2196, 6724, 454, 825, 952, 1582, 269, 14620, 846, 1299, 1582, 18192, 303, 912, 8587, 1820, 2891, 734, 1496, 13892, 316, 4534, 257, 1341, 562, 331, 1341, 6443, 4311, 4732, 1511, 263, 638, 1774, 284, 272, 1070, 694, 335, 284, 333, 331, 264, 1341, 562, 331, 1341, 834, 734, 1496, 270, 13892, 316, 4534, 15419, 825, 1948, 1948, 4894, 8655, 6698, 689, 3982, 2516, 1496, 24175, 2248, 539, 676, 674, 761, 338, 2639, 825, 1948, 952, 521, 273, 323, 912, 825, 1948, 567, 1948, 9337, 23380, 8424, 454, 825, 1948, 567, 585, 630, 330, 267, 642, 264, 538, 521, 273, 323, 29096, 10031, 825, 1948, 672, 585, 546, 338, 538, 3982, 912, 825, 1948, 11434, 952, 737, 538, 546, 338, 912, 825, 1948, 1363, 23380, 269, 26303, 9230, 323, 267, 642, 264, 585, 546, 538, 546, 338, 952, 546, 11203, 737, 994, 825, 1948, 567, 1948, 9337, 3982, 454, 825, 1948, 567, 3982, 815, 1592, 263, 21860, 3287, 264, 585, 1535, 538, 630, 18528, 3287, 267, 521, 273, 323, 269, 12399, 28829, 585, 1535, 538, 3982, 264, 952, 7003, 3287, 264, 3436, 476, 272, 2020, 825, 1948, 4570, 9704, 585, 1142, 3090, 454, 825, 4570, 815, 9598, 4590, 825, 585, 521, 538, 6698, 912, 8587, 952, 521, 538, 521, 273, 323, 281, 3136, 454, 8587, 4570, 314, 338, 316, 815, 1592, 5560, 580, 1080, 6155, 29924, 5560, 585, 630, 343, 267, 546, 264, 538, 23380, 952, 1535, 2652, 521, 4917, 825, 1948, 1721, 737, 538, 15044, 263, 20777, 269, 12399, 3890, 2567, 1820, 325, 2891, 346, 330, 348, 9847, 2715, 341, 348, 2580, 642, 284, 20777, 25208, 20285, 825, 1948, 693, 713, 1448, 649, 666, 4019, 930, 646, 22618, 556, 2914, 3876, 3652, 912, 825, 1948, 2262, 815, 1871, 476, 9847, 1871, 815, 2262, 267, 952, 1871, 568, 1863, 540, 21229, 600, 2045, 6698, 454, 825, 952, 521, 2033, 3436, 476, 271, 912, 8587, 585, 630, 328, 267, 630, 1410, 1440, 267, 1130, 267, 737, 4297, 538, 26246, 263, 1410, 1440, 338, 2187, 1038, 1948, 2745, 325, 2891, 314, 346, 328, 348, 316, 630, 346, 1410, 1440, 256, 337, 9574, 2715, 1998, 256, 337, 9574, 2715, 330, 16585, 1535, 338, 28121, 343, 338, 348, 5288, 28121, 341, 338, 348, 2580, 1535, 338, 24210, 338, 5157, 3910, 5288, 284, 341, 338, 5157, 20285, 1038, 1948, 834, 283, 5320, 285, 2652, 2999, 1410, 1440, 285, 257, 543, 1163, 337, 3568, 1100, 21229, 600, 2045, 6698, 912, 1038, 1948, 9497, 283, 5320, 285, 2652, 2999, 1410, 1440, 285, 2580, 7183, 267, 476, 272, 264, 476, 25341, 476, 9497, 283, 1410, 1440, 285, 2580, 834, 283, 5320, 285, 2580, 476, 274, 994, 1038, 952, 737, 2652, 476, 272, 912, 16875, 2262, 815, 1535, 1440, 815, 7183, 454, 16875, 544, 815, 556, 6230, 2255, 16868, 262, 315, 338, 265, 28381, 8443, 262, 1341, 6698, 1341, 678, 11172, 266, 9385, 4153, 338, 265, 2525, 315, 338, 16732, 269, 266, 9385, 338, 265, 259, 3299, 1163, 337, 994, 16875, 952, 544, 912, 2018, 630, 5320, 267, 1535, 1440, 264, 815, 544, 3052, 12952, 4590, 16875, 3116, 912, 2018, 1948, 2119, 281, 834, 283, 1410, 1440, 285, 2652, 2999, 5320, 285, 4840, 2018, 544, 815, 556, 6230, 2255, 16868, 262, 315, 338, 16732, 269, 266, 286, 9385, 338, 265, 2525, 315, 338, 265, 28381, 8443, 262, 1341, 6698, 1341, 678, 11172, 266, 9385, 4153, 338, 265, 259, 3299, 1163, 337, 994, 2018, 952, 544, 912, 23526, 630, 343, 1440, 267, 2262, 264, 815, 544, 3052, 12952, 10797, 16875, 952, 2262, 543, 1163, 337, 912, 2018, 952, 556, 269, 14142, 16868, 262, 28381, 9131, 1341, 6698, 1341, 678, 11172, 10954, 348, 3299, 1535, 1440, 264, 568, 7183, 912, 23526, 952, 8231, 846, 3436, 476, 271, 281, 1820, 325, 2891, 314, 27802, 21114, 2750, 16054, 281, 13868, 630, 346, 339, 16585, 9847, 630, 346, 343, 1440, 348, 815, 2715, 5320, 348, 13580, 2580, 512, 284, 1206, 5157, 7481, 23526, 1163, 3464, 5157, 316, 815, 630, 343, 1440, 267, 2262, 267, 476, 274, 994, 23526, 630, 343, 338, 5157, 3910, 5288, 5157, 8079, 815, 630, 341, 338, 5157, 3910, 1535, 338, 5157, 20285, 1038, 1948, 834, 283, 5320, 285, 815, 2999, 842, 285, 9899, 630, 16838, 811, 3608, 547, 946, 4534, 817, 793, 3079, 994, 1038, 1948, 9497, 283, 5320, 285, 2580, 2999, 842, 285, 267, 476, 273, 264, 476, 25341, 9497, 283, 842, 285, 2580, 834, 283, 5320, 285, 2580, 476, 274, 994, 1038, 952, 737, 2652, 476, 273, 912, 16875, 952, 1163, 337, 314, 271, 316, 2652, 1412, 346, 262, 543, 1163, 337, 15631, 272, 316, 2652, 1412, 348, 12466, 2018, 2262, 815, 1163, 337, 314, 272, 18737, 272, 2639, 2018, 952, 782, 3287, 538, 6698, 585, 1535, 538, 2262, 2187, 23526, 952, 8231, 846, 3436, 476, 271, 281, 1820, 325, 2891, 314, 27802, 21114, 2750, 16054, 281, 13868, 630, 346, 339, 16585, 9847, 630, 346, 1998, 348, 815, 2715, 13997, 5320, 3686, 348, 13580, 2580, 512, 284, 1206, 5157, 7481, 23526, 1163, 3464, 5157, 316, 815, 630, 842, 273, 19668, 263, 1998, 267, 3490, 284, 1015, 1070, 2262, 267, 476, 274, 994, 23526, 630, 343, 338, 5157, 3910, 5288, 5157, 8079, 815, 630, 341, 338, 5157, 3910, 1535, 338, 5157, 20285, 825, 1948, 556, 4650, 519, 7215, 883, 513, 811, 3617, 6268, 1931, 454, 825, 952, 556, 4650, 912, 8587, 1948, 693, 1142, 3942, 8359, 519, 4082, 609, 519, 1906, 652, 6967, 7399, 454, 8587, 546, 815, 1305, 4433, 273, 323, 269, 12399, 15405, 8587, 630, 338, 267, 678, 264, 815, 630, 4289, 19572, 1592, 9217, 585, 630, 328, 267, 9041, 264, 538, 26246, 263, 1910, 916, 21875, 8587, 1948, 19497, 649, 1031, 912, 8587, 1948, 454, 8587, 1948, 3546, 630, 476, 568, 2626, 286, 476, 3738, 476, 630, 258, 540, 796, 817, 580, 539, 6698, 264, 476, 910, 263, 15893, 540, 1007, 6698, 649, 1205, 994, 8587, 1948, 325, 333, 815, 25754, 1775, 281, 630, 1410, 1440, 338, 5157, 6012, 273, 316, 2652, 476, 271, 267, 7003, 3287, 338, 5157, 4940, 18528, 2397, 5560, 24270, 910, 6352, 17635, 338, 5157, 4940, 18528, 2397, 5560, 267, 1535, 338, 5157, 316, 21875, 8587, 1948, 454, 8587, 1948, 1631, 649, 946, 912, 8587, 1948, 454, 8587, 1948, 25639, 630, 476, 568, 2626, 286, 476, 3738, 476, 630, 825, 2698, 7399, 585, 796, 817, 11220, 6698, 825, 3738, 476, 910, 263, 15893, 540, 1007, 6698, 649, 1205, 994, 8587, 535, 333, 815, 25754, 1775, 281, 630, 1410, 1440, 338, 5157, 6012, 273, 316, 2652, 476, 271, 267, 9062, 12759, 263, 20777, 20572, 8079, 585, 1535, 538, 1535, 338, 5157, 316, 952, 1535, 711, 538, 546, 1070, 910, 6352, 17635, 338, 5157, 4940, 18528, 2397, 5560, 267, 1535, 338, 5157, 316, 21875, 8587, 1247, 678, 912, 1038, 1775, 815, 1295, 16868, 267, 1883, 284, 325, 333, 994, 1038, 521, 6910, 9217, 994, 1038, 546, 269, 26303, 3287, 338, 5157, 3910, 5288, 5157, 7481, 1038, 678, 31927, 9217, 994, 8587, 1948, 9337, 519, 8638, 454, 8587, 1163, 3464, 815, 1592, 263, 1410, 1440, 338, 5157, 316, 585, 1775, 538, 521, 994, 8587, 1535, 338, 815, 1592, 3287, 338, 5157, 316, 585, 1775, 538, 521, 994, 8587, 5288, 815, 1592, 17635, 338, 5157, 316, 585, 1775, 538, 521, 994, 8587, 512, 338, 815, 1592, 263, 1206, 5157, 316, 585, 1775, 538, 521, 2020, 825, 952, 8231, 846, 1299, 1582, 18192, 296, 912, 8587, 1948, 3977, 24626, 1344, 454, 8587, 1820, 325, 2891, 314, 19668, 28121, 19668, 9574, 9704, 28121, 21745, 1080, 9574, 6698, 28121, 32188, 338, 256, 337, 9574, 3982, 28121, 23251, 3307, 348, 316, 5602, 8587, 1820, 325, 2891, 314, 338, 273, 323, 28121, 338, 273, 323, 9574, 546, 273, 328, 28121, 323, 273, 328, 348, 316, 5602, 8587, 1948, 3977, 519, 6061, 4640, 454, 8587, 630, 1087, 267, 546, 264, 815, 630, 4289, 19572, 1305, 4433, 273, 323, 269, 12399, 3890, 4917, 8587, 585, 630, 328, 267, 1535, 264, 538, 26246, 3287, 338, 2187, 1038, 521, 338, 6910, 4433, 2745, 325, 2891, 20719, 324, 16585, 1496, 346, 333, 15396, 346, 332, 348, 316, 2580, 552, 284, 1206, 5157, 3910, 562, 284, 6352, 3287, 6155, 29924, 5560, 24270, 544, 284, 6352, 17635, 338, 5157, 4940, 18528, 2397, 5560, 267, 1535, 4297, 4917, 1038, 546, 269, 26303, 3287, 267, 5288, 5157, 7481, 8587, 1820, 325, 2891, 314, 1598, 1538, 344, 281, 2715, 1087, 348, 316, 2580, 521, 338, 284, 21860, 263, 1087, 267, 694, 335, 8782, 9847, 1412, 11723, 825, 1948, 2490, 3982, 883, 513, 9598, 11837, 2999, 32188, 285, 9847, 2999, 1410, 7672, 6698, 11417, 825, 952, 711, 568, 27349, 5560, 626, 3307, 267, 9598, 2187, 8587, 546, 815, 9598, 4590, 8587, 585, 521, 338, 538, 3982, 912, 1038, 952, 521, 2033, 3436, 476, 271, 543, 8231, 846, 1299, 1582, 18192, 310, 543, 7003, 263, 3553, 263, 1087, 1040, 18528, 2397, 4433, 273, 323, 269, 12399, 3890, 4297, 3436, 7003, 5560, 580, 1080, 2187, 16875, 1820, 325, 2891, 314, 27802, 21114, 2750, 16054, 281, 654, 27073, 5058, 281, 3982, 7807, 257, 346, 1087, 4153, 257, 814, 811, 6698, 982, 2139, 9704, 316, 5602, 1038, 585, 521, 538, 521, 338, 912, 16875, 952, 521, 711, 538, 546, 281, 546, 314, 338, 316, 815, 1305, 4590, 16875, 546, 314, 338, 4940, 26303, 3287, 585, 1535, 538, 521, 338, 952, 1535, 11203, 521 ]

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

[ 563, 31714, 689, 3309, 2686, 10080, 723, 3838, 2123, 2833, 540, 538, 1410, 2364, 762, 13341, 602, 4161, 6671, 18765, 540, 4641, 563, 763, 6228, 540, 552, 1492, 9418, 9988, 12651, 7096, 2055, 827, 519, 2470, 540, 9637, 519, 1310, 5158, 543, 519, 25872, 540, 782, 6228, 563, 19808, 9711, 593, 5980, 543, 27801, 7010, 454, 14582, 3971, 538, 552, 1492, 9418, 9259, 666, 3337, 2686, 2853, 1514, 8155, 543, 3909, 5389, 12018, 7104, 23381, 338, 543, 1367, 5615, 563, 24145, 1155, 543, 3203, 454, 288, 18308, 543, 5159, 3136, 547, 2263, 4798, 540, 519, 552, 1492, 9418, 538, 741, 1568, 2870, 6386, 602, 16436, 3988, 543, 13588, 547, 14719, 622, 519, 13655, 540, 6228, 563, 16954, 9177, 22108, 454, 5804, 3625, 321, 13831, 8874, 547, 4950, 1509, 525, 8100, 547, 552, 1492, 9418, 7919, 610, 9259, 829, 341, 1228, 2442, 2528, 10452, 2486, 11972, 22906, 609, 519, 7164, 563, 5719, 321, 6064, 532, 3733, 2195, 543, 16700, 935, 8526, 454, 306, 651, 696, 923, 4161, 6811, 540, 552, 1492, 9418, 6228, 19696, 3668, 540, 12170, 2963, 543, 1045, 3183, 3741, 540, 7787, 14374, 547, 3181, 6064, 14868, 543, 20887, 563, 14722, 3343, 547, 8495, 552, 1492, 9418, 9259, 998, 11826, 17634, 543, 8343, 7311, 3741, 540, 25949, 543, 1843, 2032, 547, 20559, 5168, 689, 5708, 563, 4910, 1051, 532, 27801, 7010, 454, 1103, 3695, 552, 1492, 9418, 9259, 621, 568, 1898, 547, 2463, 3309, 2686, 5380, 543, 31831, 689, 25412, 5375, 3621, 26336, 5196, 6805, 610, 5289, 23381, 338, 563, 306, 17567, 6278, 609, 552, 1492, 9418, 4978, 3340, 4656, 540, 2686, 22740, 8481, 9319, 3261, 566, 610, 14226, 540, 10723, 5389, 585, 5010, 2744, 563, 29936, 538, 24356, 661, 1492, 9418, 26263, 1580, 320, 454, 763, 21792, 2470, 540, 552, 1492, 9418, 9259, 6799, 27696, 2591, 585, 3173, 945, 1590, 6330, 16148, 2833, 543, 16148, 12886, 538, 741, 13753, 563, 8601, 3395, 1719, 538, 31510, 5436, 1382, 6848, 16663, 26251, 1167, 15758, 3978, 14374, 883, 552, 1492, 9418, 9259, 543, 2124, 326, 908, 971, 18697, 547, 519, 535, 2590, 525, 540, 24243, 563, 31306, 3194, 19648, 454, 18770, 1734, 538, 2029, 971, 607, 5691, 4641, 543, 5841, 4987, 2709, 1007, 18817, 585, 3695, 552, 1492, 9418, 26441, 543, 9750, 519, 4395, 4536, 540, 1480, 1702, 563, 30655, 566, 2066, 10459, 1519, 6530, 19795, 543, 1612, 777, 2134, 1108, 666, 10802, 938, 1620, 540, 552, 1492, 9418, 9259, 543, 6536, 5499, 1382, 16097, 563, 763, 1353, 540, 552, 1492, 9418, 9259, 949, 1217, 9354, 2853, 971, 607, 1648, 7067, 543, 5289, 13508, 5356, 11455, 4485, 547, 1072, 543, 8171, 563, 11900, 2074, 6591, 689, 4974, 552, 1492, 9418, 26441, 1223, 8300, 519, 1646, 540, 5499, 4066, 689, 9637, 22519, 3496, 3457, 547, 4244, 12331, 540, 2792, 563, 1103, 519, 552, 3164, 343, 335, 21505, 7122, 540, 1480, 14374, 519, 1523, 540, 519, 552, 1492, 9418, 5713, 607, 513, 12576, 540, 519, 3808, 1652, 13655, 32261, 3408, 269, 6787, 9763, 998, 519, 7828, 540, 13299, 2257, 610, 17035, 519, 7872, 540, 552, 1492, 9418, 6228, 20217, 721, 547, 14719, 622, 938, 1747, 538, 519, 26355, 543, 9784, 519, 28430, 5898, 540, 519, 7164, 563, 11902, 17988, 6168, 25334, 4601, 661, 1492, 9418, 454, 1432, 568, 519, 3017, 1063, 552, 1492, 9418, 543, 16750, 888, 4692, 552, 1492, 9418, 7919, 2170, 609, 519, 2168, 1158, 888, 6701, 972, 1022, 3621, 2090, 5885, 519, 6228, 540, 552, 1492, 9418, 9259, 888, 1692, 798, 2686, 4978, 3310, 11994, 540, 552, 1492, 9418, 9988, 888, 3674, 621, 2009, 547, 5968, 609, 552, 1492, 9418, 7919, 998, 9066, 610, 12012, 2829, 540, 9637, 286, 0, 2691, 621, 2501, 547, 2870, 513, 2922, 543, 5150, 960, 1604, 267, 1101, 5351, 2866, 568, 606, 1898, 5057, 269, 31071, 10913, 543, 2564, 18002, 616, 20437, 267, 855, 2348, 5520, 8036, 538, 1101, 5351, 3648, 8309, 547, 4180, 519, 1134, 5630, 540, 707, 2319, 269, 901, 2376, 786, 2263, 519, 2956, 540, 9746, 1101, 5351, 2866, 538, 519, 9036, 543, 519, 2640, 621, 6770, 563, 3412, 9712, 622, 1101, 5351, 568, 2565, 538, 10913, 267, 8151, 689, 5634, 7063, 547, 4049, 18002, 269, 31287, 2866, 538, 1101, 5351, 28382, 2043, 609, 519, 1983, 547, 4431, 24847, 543, 3927, 538, 519, 9036, 269, 901, 2656, 3210, 568, 2629, 538, 11689, 2358, 519, 13676, 1268, 779, 2783, 543, 7303, 519, 3510, 689, 29083, 267, 5732, 1818, 519, 3017, 1063, 513, 2407, 6051, 543, 513, 811, 4049, 6364, 563, 26212, 527, 2358, 9036, 1101, 5351, 2866, 711, 1152, 10597, 6595, 3210, 855, 849, 7339, 919, 4220, 543, 6971, 15668, 269, 1160, 5562, 3800, 267, 971, 607, 4180, 9441, 23982, 267, 6542, 513, 7029, 547, 3106, 267, 799, 666, 723, 3656, 2640, 676, 15386, 513, 10279, 540, 1416, 269, 769, 519, 2680, 540, 606, 10071, 267, 2348, 8036, 10986, 593, 21935, 16881, 1697, 12319, 543, 8989, 267, 4180, 10220, 609, 9036, 3106, 6042, 563, 2691, 5520, 917, 602, 741, 16108, 2418, 741, 3106, 543, 1134, 5630, 267, 621, 666, 5818, 27907, 543, 6015, 269, 589, 5150, 9036, 11942, 9547, 543, 6278, 1851, 5520, 538, 741, 5107, 269, 5047, 267, 1373, 8036, 538, 1101, 5351, 16877, 5520, 543, 3947, 873, 513, 2631, 540, 22920, 543, 1582, 12431, 3293, 1145, 267, 6616, 789, 666, 1900, 538, 547, 948, 741, 9164, 610, 1256, 4688, 2729, 952, 2877, 563, 1103, 1978, 3871, 267, 5401, 543, 1697, 1101, 5351, 666, 17108, 606, 9441, 779, 6051, 543, 2132, 547, 960, 269, 1280, 3236, 267, 28720, 31214, 610, 1210, 606, 12747, 5007, 1219, 2320, 650, 1807, 630, 288, 3633, 264, 16172, 1310, 513, 13487, 10654, 666, 3648, 3986, 6668, 8458, 543, 6922, 1047, 2634, 3441, 269, 2060, 8036, 5520, 593, 21935, 267, 519, 9036, 3587, 10930, 2949, 267, 2810, 519, 10171, 540, 3811, 6304, 563, 19617, 2730, 2477, 543, 4525, 23626, 1808, 3656, 4441, 585, 9036, 1101, 5351, 2866, 269, 14146, 619, 723, 519, 5539, 547, 3715, 513, 5150, 2324, 1604, 543, 2327, 15792, 1101, 5351, 2200, 269, 23299, 547, 15666, 547, 891, 6042, 666, 1267, 538, 22717, 543, 3656, 4539, 269, 9182, 267, 10115, 538, 1101, 5351, 2866, 711, 1152, 25389, 3656, 13800, 855, 849, 19752, 513, 7029, 547, 30176, 513, 2922, 543, 5360, 5050, 9036, 563, 5575, 5351, 2866, 4422, 3564, 5466, 7063, 282, 621, 849, 22316, 5520, 585, 1585, 18002, 269, 901, 666, 1331, 6616, 875, 547, 4431, 547, 11642, 267, 3114, 29908, 267, 610, 2067, 12469, 269, 9751, 538, 1101, 5351, 28382, 5520, 609, 519, 1983, 547, 2611, 9350, 896, 2604, 267, 2708, 4220, 267, 543, 1491, 3617, 3527, 547, 16102, 2933, 543, 741, 9164, 1282, 18002, 563, 1103, 18002, 267, 2500, 16542, 543, 2792, 616, 4105, 269, 3689, 5351, 2866, 19156, 519, 4644, 540, 2312, 2792, 543, 11558, 1851, 5520, 269, 9751, 7653, 3335, 4125, 16542, 538, 12570, 543, 14775, 547, 20533, 18002, 267, 5009, 22122, 543, 3972, 1851, 2319, 2818, 269, 1452, 1983, 8831, 3564, 1101, 5351, 3871, 267, 7393, 2949, 5698, 538, 519, 9036, 563, 15987, 519, 909, 12506, 1942, 540, 1101, 5351, 2866, 949, 581, 9228, 607, 606, 13258, 267, 621, 1419, 2164, 538, 1713, 1279, 3856, 9806, 269, 16797, 543, 2500, 9746, 1101, 5351, 666, 2061, 7063, 689, 32117, 267, 13302, 519, 991, 585, 3573, 2564, 2126, 269, 901, 267, 538, 2490, 267, 6971, 2564, 3790, 267, 4600, 685, 13180, 6811, 267, 543, 519, 2530, 540, 960, 17058, 1813, 547, 7063, 269, 589, 1134, 1790, 10517, 1563, 13781, 3587, 513, 3407, 10697, 267, 7700, 547, 513, 8902, 5377, 1899, 585, 519, 2754, 563, 5575, 5351, 2866, 538, 519, 9036, 568, 711, 1175, 513, 9431, 10421, 282, 621, 568, 513, 4105, 5057, 540, 2870, 513, 2922, 543, 5150, 960, 1604, 269, 634, 2640, 8831, 3564, 7525, 3210, 547, 7063, 543, 18002, 282, 789, 7854, 4824, 9441, 27907, 267, 3656, 10220, 267, 1942, 9806, 267, 543, 8476, 16542, 269, 30799, 538, 1101, 5351, 2866, 568, 513, 7029, 547, 519, 1134, 5630, 540, 707, 5520, 543, 519, 2949, 1967, 540, 707, 13539, 269, 0, 1103, 713, 5736, 540, 15398, 2825, 4656, 267, 9746, 5539, 585, 519, 1604, 814, 3144, 8998, 3942, 269, 634, 2165, 968, 13582, 31290, 892, 814, 7153, 607, 513, 6161, 267, 1129, 4328, 519, 22801, 24575, 540, 10357, 1922, 5987, 17349, 1510, 6086, 633, 3527, 269, 2060, 6800, 4742, 5051, 1167, 518, 940, 267, 519, 593, 639, 8813, 593, 4213, 267, 16113, 2706, 5658, 1115, 267, 547, 6086, 5573, 741, 7029, 547, 8076, 2825, 6940, 563, 308, 326, 7701, 267, 28330, 547, 3875, 6082, 267, 12066, 956, 609, 713, 32252, 3512, 269, 27933, 560, 519, 21684, 540, 2472, 1630, 8463, 10357, 23655, 1145, 267, 23243, 1063, 6725, 726, 9081, 543, 9758, 7760, 568, 16122, 269, 1306, 11358, 5716, 538, 519, 10685, 26750, 267, 2706, 5658, 1115, 29937, 1713, 3310, 936, 7082, 5079, 543, 8733, 1764, 563, 15703, 21051, 663, 534, 2706, 5658, 1115, 616, 1818, 862, 754, 762, 26058, 2509, 536, 7431, 535, 728, 2825, 6940, 269, 589, 8037, 1383, 568, 2961, 10915, 712, 267, 799, 814, 5189, 23431, 10918, 11435, 538, 12972, 609, 519, 2518, 3350, 547, 26193, 5068, 3653, 269, 2961, 10915, 712, 8362, 7512, 29123, 547, 9784, 23431, 8925, 676, 7598, 513, 5279, 585, 891, 11435, 267, 5807, 513, 6521, 538, 7082, 7180, 269, 4014, 3355, 4187, 1759, 593, 519, 2404, 1942, 729, 10423, 267, 971, 3800, 20244, 4161, 519, 4567, 28943, 543, 5337, 924, 6209, 19929, 7282, 519, 2825, 17167, 540, 13418, 269, 898, 779, 4502, 15663, 602, 1247, 11800, 899, 10866, 8111, 21466, 543, 13317, 19255, 11825, 7620, 4553, 9290, 267, 789, 2663, 26871, 1540, 547, 3246, 2582, 14025, 5068, 11435, 547, 5561, 563, 32701, 267, 519, 3460, 2509, 3102, 2825, 6940, 568, 3818, 8820, 269, 12694, 7854, 3743, 1587, 27126, 267, 3653, 2359, 267, 543, 2146, 1489, 269, 8111, 5658, 1115, 1590, 4497, 538, 11455, 14365, 2293, 267, 9319, 16496, 7341, 585, 6071, 25852, 269, 24063, 779, 6805, 2825, 7341, 2709, 513, 6626, 20457, 269, 634, 2817, 5113, 5004, 16958, 630, 301, 4932, 288, 264, 814, 30082, 6659, 4656, 827, 3039, 31290, 267, 28409, 6800, 547, 3635, 28858, 543, 4656, 269, 901, 14223, 16877, 6800, 547, 3747, 11413, 543, 12477, 689, 14078, 563, 308, 326, 663, 534, 2706, 5658, 1115, 616, 5051, 9301, 519, 25872, 1063, 741, 13884, 543, 2825, 1134, 5630, 269, 15332, 1367, 7341, 267, 11528, 10593, 616, 1898, 269, 11622, 725, 1063, 2706, 5658, 1115, 267, 14273, 267, 543, 14519, 3180, 519, 1761, 547, 3715, 13387, 4264, 2853, 269, 8616, 267, 519, 4155, 6619, 568, 4101, 269, 11038, 7687, 267, 7082, 4187, 547, 1689, 267, 543, 16283, 9431, 10850, 10460, 23665, 269, 1717, 267, 891, 9465, 1058, 581, 2938, 607, 27857, 585, 5647, 2864, 982, 1175, 5874, 585, 538, 9146, 563, 763, 5397, 585, 8076, 2825, 6940, 568, 18534, 12686, 24063, 779, 2706, 21466, 5251, 269, 634, 6370, 1996, 3039, 31290, 19329, 7104, 3646, 689, 2706, 5658, 1115, 267, 6800, 267, 543, 9431, 4703, 269, 3117, 28366, 1590, 29506, 1125, 6811, 543, 3747, 13597, 267, 1247, 4213, 1058, 22299, 11413, 543, 4052, 3268, 269, 1306, 519, 3039, 3350, 12374, 11610, 267, 2706, 5658, 1115, 15386, 15889, 3356, 786, 2744, 513, 8013, 6316, 543, 3565, 547, 513, 22928, 543, 8902, 24063, 269, 0, 25205, 13519, 14317, 568, 513, 1199, 1227, 24892, 1982, 2966, 585, 1004, 945, 723, 1185, 513, 2295, 4323, 267, 2295, 5821, 267, 2587, 328, 6955, 7360, 267, 2295, 6391, 267, 610, 824, 2295, 2175, 269, 901, 1982, 6663, 547, 4217, 2550, 538, 741, 6051, 689, 2295, 5773, 543, 2087, 741, 2949, 2168, 267, 2790, 267, 543, 1514, 8647, 563, 763, 10872, 849, 11394, 547, 11689, 1047, 267, 3500, 610, 1256, 9258, 519, 11144, 540, 9025, 2068, 269, 634, 3102, 1935, 5849, 602, 2550, 616, 711, 1175, 5701, 855, 849, 13473, 827, 741, 2175, 543, 875, 547, 4383, 873, 538, 519, 1279, 2196, 563, 763, 22020, 540, 9315, 13519, 29407, 454, 25205, 13519, 14317, 3322, 1614, 1883, 3334, 281, 2168, 3635, 2866, 267, 2069, 593, 2295, 268, 11794, 2713, 267, 543, 5646, 18522, 547, 2569, 2566, 543, 948, 2550, 2132, 547, 606, 3742, 1272, 269, 3962, 5057, 568, 2629, 547, 519, 3461, 779, 6051, 543, 5571, 1072, 2359, 563, 268, 11644, 9751, 281, 901, 2337, 596, 1451, 875, 547, 3635, 9108, 267, 7794, 707, 6091, 267, 543, 2087, 707, 26176, 2088, 269, 2659, 3635, 1544, 786, 581, 1759, 593, 707, 2123, 5759, 267, 2115, 267, 543, 4690, 269, 8617 ]

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

[ 281, 11193, 5274, 1143, 910, 634, 4860, 2526, 540, 3281, 6842, 622, 5845, 20395, 344, 692, 7072, 692, 2026, 649, 7832, 2390, 3695, 519, 1523, 540, 11193, 5274, 1143, 267, 1577, 721, 1101, 3801, 547, 10146, 922, 3140, 2796, 269, 634, 2165, 1412, 305, 10718, 262, 18575, 32193, 267, 1129, 4328, 2342, 781, 5912, 689, 519, 5664, 12698, 547, 29678, 1063, 519, 476, 1691, 628, 543, 476, 1704, 628, 5553, 269, 901, 1974, 14754, 7415, 14759, 2066, 1585, 4610, 971, 607, 1148, 267, 3332, 267, 2257, 267, 6214, 267, 543, 6138, 269, 7324, 891, 7214, 10593, 267, 1480, 1143, 7153, 607, 513, 12316, 3350, 14957, 585, 1480, 1761, 267, 15683, 267, 543, 4502, 269, 6239, 547, 713, 16809, 729, 519, 3661, 602, 1004, 1223, 3337, 741, 3186, 514, 625, 998, 1565, 267, 16495, 267, 543, 18523, 6278, 269, 4935, 267, 24960, 545, 18129, 2968, 7533, 3334, 540, 11193, 5274, 1143, 780, 4089, 476, 272, 281, 20223, 11193, 5274, 1143, 692, 4263, 922, 4295, 267, 11193, 5274, 1143, 15091, 16712, 2069, 1759, 593, 8106, 5931, 689, 9147, 10255, 543, 7507, 269, 6206, 5515, 899, 8891, 337, 1105, 630, 9873, 275, 268, 15389, 275, 264, 543, 16902, 990, 28839, 623, 4815, 546, 7578, 21001, 526, 7637, 630, 16409, 274, 268, 14983, 275, 264, 13084, 16845, 519, 1353, 540, 5824, 543, 5259, 4654, 267, 7175, 1463, 1569, 547, 3312, 1568, 676, 15806, 899, 18573, 267, 17127, 267, 595, 545, 3266, 267, 543, 7354, 29132, 269, 3414, 11826, 14172, 267, 789, 8179, 547, 2847, 633, 3504, 7326, 1247, 5807, 2565, 3206, 1983, 1898, 585, 10188, 4207, 2152, 780, 4913, 267, 1480, 1235, 1705, 711, 10205, 3909, 4978, 282, 3079, 267, 789, 6322, 547, 11753, 7787, 14374, 609, 5289, 5132, 269, 9182, 267, 1480, 626, 2093, 15449, 730, 3875, 3344, 540, 2486, 267, 1519, 4984, 267, 7881, 267, 2069, 267, 543, 1514, 10304, 780, 4089, 476, 273, 281, 634, 28249, 540, 15215, 543, 5845, 20395, 344, 692, 7628, 519, 11193, 5736, 267, 17493, 543, 620, 916, 15130, 941, 5097, 2404, 609, 4168, 21644, 269, 1717, 267, 1480, 1235, 556, 19960, 1441, 891, 2853, 1369, 513, 6626, 5943, 267, 13156, 873, 607, 3255, 585, 5837, 1646, 543, 18497, 16345, 2864, 982, 9003, 6411, 540, 14039, 1214, 269, 1280, 3236, 267, 25845, 1723, 11711, 331, 325, 334, 630, 16928, 279, 268, 16825, 272, 1070, 606, 7969, 16159, 543, 4116, 267, 9415, 1010, 10453, 547, 4497, 538, 26988, 2238, 607, 851, 540, 741, 6437, 269, 1261, 5156, 602, 971, 23339, 1131, 11349, 6568, 267, 28908, 267, 543, 5718, 7907, 2556, 585, 4742, 3743, 4961, 780, 20118, 267, 22784, 333, 15605, 966, 718, 320, 630, 9610, 276, 268, 13970, 278, 1070, 1776, 7986, 1480, 626, 267, 22309, 519, 5783, 781, 7829, 540, 620, 916, 267, 19163, 602, 621, 1185, 1831, 1932, 17531, 29386, 543, 1033, 3737, 689, 9758, 2115, 269, 5502, 267, 646, 6069, 9591, 2199, 1476, 337, 15715, 885, 1765, 14179, 27035, 12205, 6131, 547, 3246, 5351, 547, 519, 1447, 26752, 269, 1452, 29065, 3906, 4847, 2482, 15161, 547, 1491, 5279, 540, 5466, 6848, 2591, 267, 7551, 16779, 1312, 575, 1392, 543, 2256, 1392, 780, 4089, 476, 274, 281, 595, 15960, 22580, 543, 5398, 28054, 692, 3080, 8037, 4183, 540, 11193, 4872, 729, 519, 30436, 1857, 12106, 1141, 2528, 267, 6214, 267, 543, 16450, 23091, 269, 1306, 4683, 7740, 8057, 5763, 1512, 543, 3677, 267, 865, 1705, 13103, 1063, 3638, 543, 4057, 269, 769, 3210, 267, 1082, 1480, 1235, 1572, 585, 3152, 18523, 5539, 267, 28409, 3413, 23308, 4961, 547, 3565, 2509, 1455, 5370, 971, 607, 3506, 267, 10506, 267, 8021, 267, 543, 5989, 3785, 780, 288, 6305, 1383, 540, 713, 7678, 666, 581, 4767, 538, 23509, 267, 7977, 1107, 24903, 519, 12473, 10938, 540, 11193, 5274, 1143, 269, 7201, 519, 5709, 328, 1920, 781, 19121, 720, 267, 519, 2749, 23384, 1713, 7004, 267, 4742, 513, 13398, 585, 7499, 5647, 543, 3621, 13120, 269, 15328, 24982, 632, 262, 5709, 328, 630, 15946, 280, 268, 16409, 275, 1070, 519, 13653, 540, 519, 2405, 823, 534, 15913, 267, 14102, 1896, 11265, 26136, 267, 1519, 13039, 267, 20708, 625, 267, 543, 5493, 2167, 269, 8616, 267, 646, 849, 6462, 3872, 5238, 899, 519, 22456, 674, 328, 648, 660, 3626, 267, 799, 13631, 5640, 689, 2066, 2342, 269, 1635, 10115, 538, 1702, 23425, 267, 15328, 24982, 12479, 547, 6536, 513, 4121, 17069, 864, 5827, 540, 12044, 3294, 3927, 780, 1607, 11100, 540, 12716, 27715, 267, 14046, 13287, 267, 543, 1514, 6161, 20206, 12885, 519, 9759, 540, 11193, 5274, 1143, 1107, 606, 4998, 602, 26871, 828, 919, 1256, 2221, 269, 7073, 24960, 1235, 3136, 547, 9784, 891, 2418, 267, 16107, 741, 2200, 547, 3895, 7924, 267, 3782, 267, 2825, 5726, 267, 543, 824, 3123, 3844, 547, 1480, 8171, 780, 6962, 692, 1103, 3932, 267, 11193, 5274, 1143, 5129, 513, 2629, 1909, 538, 5935, 5375, 10340, 676, 14957, 585, 513, 11455, 1935, 547, 1565, 267, 13919, 267, 543, 18523, 10279, 269, 4706, 8561, 593, 17519, 24960, 344, 9788, 519, 24536, 585, 7766, 5322, 5009, 1514, 5126, 267, 7862, 267, 543, 7104, 13884, 269, 11569, 267, 519, 9371, 540, 11193, 5274, 1143, 3788, 4143, 267, 11121, 4207, 3646, 547, 1628, 6793, 2950, 543, 2087, 2949, 2298, 540, 1272, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24281, 513, 1158, 1419, 6353, 676, 3728, 19550, 2713, 267, 2123, 27606, 267, 543, 1367, 18697, 267, 519, 957, 540, 4758, 1394, 547, 835, 779, 2146, 6763, 607, 513, 7096, 15266, 547, 519, 11972, 6891, 540, 8296, 543, 1582, 16531, 269, 898, 568, 513, 23972, 602, 25186, 2123, 2744, 543, 11498, 513, 4543, 1688, 547, 1346, 538, 991, 563, 763, 20106, 6508, 689, 4758, 1394, 547, 519, 2146, 568, 513, 8007, 2484, 811, 3407, 982, 1022, 1570, 15896, 267, 585, 621, 27862, 711, 1152, 519, 2729, 540, 1346, 649, 5905, 855, 849, 938, 1378, 563, 294, 1516, 1394, 547, 519, 2146, 568, 711, 1175, 606, 957, 540, 11587, 267, 621, 779, 513, 3460, 540, 20106, 543, 3483, 269, 898, 779, 827, 519, 7096, 9547, 602, 2501, 689, 1818, 513, 2318, 1764, 593, 519, 2729, 540, 1866, 543, 519, 1747, 649, 1289, 1753, 269, 769, 713, 5618, 3408, 267, 649, 786, 5490, 883, 519, 2295, 342, 9879, 2984, 267, 519, 2123, 2208, 267, 543, 519, 3838, 2631, 540, 2146, 602, 8451, 950, 2043, 543, 2516, 4142, 6510, 741, 942, 543, 2200, 547, 1489, 543, 10575, 3424, 1346, 1472, 873, 269, 15012, 593, 513, 3460, 540, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 10718, 5274, 1143, 257, 607, 851, 540, 834, 15771, 6579, 5308, 8008, 14176, 1315, 28073, 1315, 5274, 1143, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 1262, 8702, 547, 901, 20861, 281, 10435, 645, 1872, 956, 689, 2480, 337, 2255, 4373, 5556, 17894, 593, 2921, 707, 1101, 3268, 883, 519, 4241, 1158, 540, 15165, 1426, 7041, 256, 769, 713, 3102, 3391, 267, 649, 786, 3802, 596, 998, 1169, 2582, 1469, 2838, 547, 1118, 8949, 17079, 956, 267, 513, 2442, 29511, 344, 8970, 15165, 10150, 676, 3425, 5001, 780, 1262, 3721, 476, 272, 281, 21733, 3931, 23123, 630, 11742, 281, 5111, 476, 1789, 3764, 21143, 2414, 2253, 267, 596, 3513, 991, 547, 3489, 1896, 1898, 3688, 269, 5213, 1405, 5855, 952, 891, 2474, 616, 14542, 282, 649, 3513, 2491, 3388, 8499, 780, 265, 2878, 15933, 15188, 4995, 589, 1804, 2679, 1141, 1004, 4444, 17580, 5370, 269, 1411, 1522, 723, 2938, 835, 1354, 267, 855, 952, 711, 267, 1810, 1405, 5855, 1107, 1175, 1413, 1472, 2394, 596, 1265, 513, 2462, 2497, 609, 10477, 4191, 543, 1082, 9885, 563, 453, 266, 1677, 4283, 519, 4558, 912, 453, 453, 268, 13979, 519, 13675, 7450, 4433, 264, 7444, 267, 4180, 789, 13472, 1930, 610, 18711, 2647, 2614, 585, 596, 547, 1780, 998, 20354, 563, 453, 453, 268, 6875, 1507, 3268, 3330, 1247, 5329, 606, 3750, 856, 585, 824, 3425, 3001, 827, 269, 2142, 18762, 711, 547, 29424, 883, 873, 610, 1022, 3615, 563, 453, 266, 4495, 3330, 912, 453, 453, 268, 6733, 1472, 693, 519, 3875, 21684, 30528, 1164, 609, 1585, 2472, 269, 1411, 2811, 10478, 585, 1808, 3688, 267, 865, 3251, 5059, 2336, 453, 453, 268, 8844, 15891, 13124, 1063, 513, 529, 956, 267, 1210, 9543, 7140, 547, 6330, 15174, 1510, 2458, 4575, 609, 1866, 780, 3086, 267, 1577, 781, 5531, 938, 5820, 1384, 320, 269, 2878, 290, 1941, 22596, 4995, 20963, 8869, 1500, 689, 12015, 8970, 737, 1716, 1564, 563, 453, 266, 4855, 519, 11256, 513, 529, 548, 267, 2356, 6825, 676, 4191, 10023, 5961, 540, 7912, 267, 4006, 267, 610, 19323, 5370, 563, 453, 266, 2480, 534, 21684, 585, 11149, 13042, 834, 25468, 22596, 1701, 1358, 949, 581, 10833, 267, 11435, 267, 610, 23691, 563, 453, 266, 8564, 835, 8708, 602, 17015, 707, 7375, 3823, 10189, 2450, 543, 6216, 2012, 563, 321, 269, 2878, 309, 1122, 564, 762, 13813, 4995, 28966, 1031, 585, 31068, 3536, 563, 453, 266, 10361, 4724, 519, 5986, 7727, 3296, 267, 1419, 20922, 676, 2592, 540, 17428, 267, 31781, 267, 610, 27022, 563, 453, 266, 700, 11229, 14569, 610, 795, 13903, 609, 10297, 10834, 10448, 3282, 1543, 563, 453, 266, 7994, 513, 5078, 11480, 1759, 593, 922, 4320, 543, 6216, 10639, 563, 322, 269, 2878, 306, 5306, 4995, 24083, 718, 710, 4005, 532, 7393, 8137, 563, 453, 266, 16731, 519, 24996, 24646, 1858, 267, 3335, 1129, 1881, 676, 9343, 540, 30660, 5627, 23599, 6878, 563, 453, 266, 10576, 6070, 23752, 11149, 1851, 519, 5044, 269, 2368, 1522, 2161, 834, 14456, 6070, 2437, 834, 1675, 1242, 6070, 2437, 610, 3274, 834, 338, 5306, 4799, 453, 266, 17292, 835, 20220, 2687, 547, 2123, 6492, 7375, 610, 6003, 1374, 9029, 780, 1262, 3721, 476, 273, 281, 27759, 3718, 10628, 630, 11742, 281, 5111, 476, 1428, 3764, 21143, 6524, 862, 9760, 17079, 548, 2504, 267, 5965, 707, 29683, 547, 2327, 4398, 543, 3106, 780, 265, 2878, 298, 527, 7770, 9351, 4995, 5071, 730, 2230, 1369, 513, 23029, 1141, 6980, 616, 5423, 269, 1403, 18516, 267, 3406, 585, 4831, 339, 3591, 267, 29826, 267, 588, 7174, 267, 610, 14023, 2209, 607, 10832, 563, 453, 266, 13068, 1055, 7252, 676, 9900, 11319, 11735, 1022, 11991, 3688, 267, 971, 607, 18660, 8286, 267, 14233, 267, 610, 10051, 19269, 563, 453, 266, 3550, 1434, 8654, 2175, 676, 14577, 6885, 18707, 610, 7432, 593, 16841, 8279, 267, 952, 2877, 563, 453, 266, 19024, 3054, 2282, 513, 3002, 2707, 630, 324, 3052, 1421, 23041, 267, 14089, 1070, 1216, 3761, 630, 338, 1074, 1070, 543, 6366, 960, 2627, 630, 322, 3300, 9008, 6393, 1262, 3721, 476, 274, 281, 17186, 532, 12397, 22596, 645, 2660, 630, 11742, 281, 5111, 476, 1015, 3764, 21143, 23382, 710, 3819, 5820, 547, 1711, 519, 5748, 540, 938, 17079, 956, 780, 265, 2878, 9288, 20011, 595, 5725, 4995, 13088, 1031, 547, 22945, 12146, 5666, 8308, 563, 453, 266, 4825, 4471, 557, 7893, 11680, 689, 7404, 2721, 619, 610, 19970, 1115, 269, 25800, 3054, 609, 741, 21783, 24795, 630, 11133, 1499, 543, 3515, 1916, 453, 266, 2422, 513, 2973, 7484, 547, 1085, 17274, 856, 4010, 476, 273, 11680, 540, 8970, 22596, 269, 5426, 519, 1283, 676, 23510, 513, 2786, 6316, 630, 3697, 513, 17180, 610, 22883, 3121, 264, 2066, 519, 26079, 563, 453, 266, 32449, 6027, 8970, 22596, 5196, 513, 11280, 11544, 1858, 267, 899, 513, 4831, 9008, 610, 3349, 780, 11754, 6632, 3334, 547, 1106, 513, 4402, 1384, 265, 2878, 12850, 4995, 10281, 7992, 5277, 1898, 585, 1272, 543, 11477, 3157, 563, 453, 266, 12414, 593, 519, 31316, 564, 630, 4248, 7148, 264, 936, 519, 16173, 547, 1569, 4881, 1216, 563, 453, 266, 19130, 513, 5094, 7893, 7484, 609, 10502, 476, 382, 378, 7484, 540, 1216, 269, 7638, 1518, 6111, 1996, 519, 7484, 781, 24795, 563, 453, 266, 26431, 13248, 519, 1216, 883, 519, 8970, 22596, 7848, 1247, 28817, 609 ]

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

[ 654, 312, 476, 1001, 274, 267, 799, 1683, 513, 2039, 540, 933, 1430, 2175, 6093, 585, 713, 3148, 269, 634, 476, 277, 3917, 337, 4248, 1032, 3328, 13247, 568, 476, 30663, 6515, 267, 609, 654, 312, 476, 1001, 272, 1373, 519, 6632, 11687, 1032, 609, 476, 279, 6858, 6515, 543, 654, 312, 1001, 273, 1373, 519, 1743, 5006, 1032, 609, 476, 275, 3393, 6515, 630, 8368, 476, 272, 1040, 19105, 5993, 2011, 2837, 585, 519, 1353, 1858, 568, 476, 278, 269, 271, 9180, 630, 8368, 476, 273, 1040, 634, 17888, 2842, 4287, 1282, 13247, 568, 689, 519, 7178, 630, 28638, 4113, 1040, 634, 12775, 2127, 543, 8323, 585, 519, 2185, 6952, 906, 2039, 689, 476, 736, 547, 476, 3583, 688, 543, 476, 14917, 276, 547, 476, 6245, 279, 544, 267, 6606, 630, 8368, 476, 274, 1040, 6399, 15113, 331, 2100, 27080, 2066, 519, 2185, 6952, 906, 2039, 689, 476, 1240, 260, 547, 476, 2537, 10065, 634, 1353, 1858, 21269, 2789, 8733, 4609, 267, 1142, 609, 27041, 20815, 607, 519, 13856, 21906, 5057, 585, 519, 4704, 2146, 269, 17497, 267, 10664, 538, 1142, 540, 519, 6952, 906, 568, 5097, 15118, 23803, 3256, 3990, 267, 609, 1713, 24588, 19479, 269, 1924, 2812, 616, 9286, 6140, 607, 1134, 1673, 11712, 18574, 569, 3138, 4461, 267, 799, 568, 6462, 676, 7422, 630, 24520, 5425, 267, 476, 1001, 277, 1916, 19177, 6749, 4216, 642, 27677, 577, 649, 15077, 630, 289, 2632, 320, 543, 13100, 3205, 267, 476, 1220, 274, 264, 543, 3670, 4365, 10473, 941, 8704, 693, 519, 3162, 13738, 21885, 595, 2255, 906, 689, 476, 1220, 277, 547, 476, 1220, 279, 609, 519, 3483, 540, 4974, 519, 10357, 5139, 6331, 545, 3210, 540, 15118, 23803, 26730, 3990, 27041, 20815, 2848, 28500, 1949, 547, 15118, 23803, 8851, 269, 3962, 4365, 6728, 5638, 13247, 2527, 267, 2842, 3432, 543, 4287, 267, 2011, 2837, 267, 3448, 11195, 267, 543, 19670, 3859, 5982, 693, 606, 5662, 569, 8884, 269, 16176, 3178, 568, 849, 6592, 1169, 476, 1428, 3764, 693, 1142, 6728, 1210, 24318, 21319, 8596, 269, 15015, 7403, 540, 6777, 1216, 6697, 630, 14684, 292, 264, 941, 1500, 1079, 547, 1614, 2053, 1142, 1032, 693, 6777, 6030, 2282, 519, 3670, 4365, 10473, 269, 769, 1840, 267, 1611, 24186, 689, 2185, 14021, 6777, 12220, 941, 1031, 609, 12747, 6777, 3178, 2418, 547, 3489, 3606, 17335, 292, 2203, 15418, 2418, 563, 288, 700, 573, 541, 10471, 9715, 538, 5437, 476, 1220, 278, 1354, 6777, 6420, 2488, 606, 4977, 476, 272, 544, 273, 25135, 14653, 540, 11953, 3618, 15038, 543, 10664, 2497, 585, 1142, 540, 519, 1353, 6952, 906, 630, 26596, 4486, 1696, 620, 1421, 476, 1001, 274, 1040, 634, 700, 573, 541, 1448, 5860, 13195, 476, 278, 2798, 829, 4009, 31461, 4611, 538, 513, 7299, 6111, 540, 5111, 476, 274, 4699, 269, 2353, 700, 573, 541, 4393, 729, 2944, 1210, 2645, 2919, 676, 519, 4425, 1047, 4741, 17224, 18209, 12524, 630, 6195, 3201, 267, 476, 1001, 277, 1040, 769, 1840, 547, 700, 573, 541, 23402, 10664, 15627, 267, 513, 8261, 10664, 5619, 693, 1614, 14477, 4092, 476, 1789, 6398, 476, 1789, 544, 13602, 538, 1142, 540, 519, 2185, 1353, 6952, 906, 13195, 5342, 538, 4864, 476, 1220, 279, 269, 1261, 2074, 540, 782, 15118, 760, 619, 3436, 272, 544, 1369, 1142, 4729, 26200, 6027, 267, 543, 519, 15627, 540, 782, 19211, 543, 15118, 760, 619, 2999, 272, 544, 941, 6592, 2059, 2947, 17464, 4167, 338, 1369, 519, 13602, 630, 8993, 269, 476, 274, 1916, 18850, 30744, 6777, 17569, 13250, 543, 15835, 616, 24018, 585, 519, 3162, 13738, 21885, 595, 2255, 906, 609, 519, 1459, 561, 919, 15471, 542, 15118, 23803, 2175, 630, 329, 684, 23803, 26730, 3990, 9183, 264, 543, 585, 2175, 609, 993, 6242, 545, 540, 27041, 20815, 10664, 630, 338, 720, 20815, 26730, 3990, 9183, 1040, 4826, 8244, 585, 1142, 1353, 6952, 618, 896, 1312, 2175, 568, 12290, 676, 513, 4999, 540, 942, 3126, 9781, 630, 4248, 6765, 547, 519, 3037, 2627, 264, 543, 519, 8174, 566, 540, 5993, 1216, 23348, 998, 513, 1216, 3666, 1935, 563, 9288, 25979, 630, 1889, 553, 264, 543, 16347, 539, 630, 7116, 264, 1216, 1032, 1216, 13247, 630, 2181, 27457, 264, 543, 1216, 3666, 2474, 630, 338, 852, 4248, 3403, 1496, 14684, 296, 3910, 6908, 6503, 1496, 304, 3910, 19705, 582, 4920, 17508, 1496, 4953, 8079, 585, 519, 3162, 13738, 21885, 595, 2255, 906, 630, 15551, 1040, 634, 7076, 539, 623, 1871, 630, 335, 29705, 264, 689, 335, 8529, 512, 2389, 3949, 568, 3769, 607, 513, 2773, 1889, 5501, 540, 519, 21180, 7116, 9934, 630, 293, 2401, 4221, 518, 1696, 620, 269, 538, 2046, 1070, 10834, 602, 9039, 540, 519, 13502, 26200, 3648, 1114, 689, 1889, 25979, 2418, 693, 519, 14668, 284, 271, 269, 4962, 1377, 269, 2776, 27457, 2787, 568, 849, 3254, 585, 16592, 2701, 788, 15880, 630, 4785, 290, 264, 23658, 2255, 618, 540, 519, 7404, 32083, 15880, 21885, 27347, 1117, 269, 9947, 23803, 26730, 3990, 21180, 568, 7229, 607, 519, 15895, 630, 637, 573, 264, 540, 519, 1216, 3666, 563, 763, 1775, 27409, 2128, 2203, 630, 300, 10225, 1696, 620, 1421, 476, 1960, 280, 320, 14720, 264, 3096, 519, 6952, 618, 27177, 543, 7856, 14368, 1670, 585, 322, 902, 547, 7447, 519, 6777, 13250, 543, 15835, 269, 1775, 27409, 2128, 568, 513, 9308, 1759, 2527, 543, 1648, 2203, 602, 814, 1044, 14916, 4294, 547, 8495, 6777, 6323, 267, 3157, 267, 543, 519, 7856, 332, 3881, 3270, 538, 2147, 2127, 538, 519, 744, 14567, 31649, 15142, 630, 300, 10225, 543, 12736, 560, 1537, 267, 476, 1220, 272, 282, 29485, 1696, 620, 1421, 476, 1220, 272, 267, 476, 1220, 273, 282, 12736, 560, 1537, 543, 29485, 267, 476, 1220, 273, 267, 476, 1001, 275, 282, 1530, 344, 325, 3072, 1696, 620, 1421, 476, 1220, 280, 282, 715, 599, 752, 1696, 620, 1421, 476, 1001, 272, 282, 27958, 1696, 620, 1421, 476, 1001, 274, 282, 1234, 9346, 1696, 620, 1421, 476, 1001, 275, 282, 681, 553, 537, 2993, 1696, 620, 1421, 476, 1001, 276, 264, 543, 4104, 539, 2127, 630, 300, 10225, 1696, 620, 1421, 476, 1960, 279, 282, 13017, 543, 29485, 267, 476, 1960, 280, 282, 717, 13873, 543, 29485, 267, 476, 1220, 276, 1040, 634, 2203, 7472, 9193, 540, 17335, 292, 267, 6777, 15835, 267, 543, 2627, 1216, 3403, 630, 14684, 296, 1070, 6518, 568, 519, 5916, 5277, 4248, 12775, 6028, 519, 5377, 1993, 519, 6777, 3640, 543, 4764, 593, 519, 2666, 2627, 269, 18452, 1239, 2838, 676, 519, 2203, 1331, 13247, 543, 2139, 1648, 269, 634, 946, 540, 513, 1950, 267, 9308, 1759, 6777, 2203, 568, 2556, 547, 581, 2111, 547, 18481, 9936, 1125, 10664, 3604, 1063, 15118, 23803, 663, 27041, 20815, 26730, 3990, 6952, 906, 269, 634, 1648, 3666, 540, 519, 6777, 17569, 693, 1142, 2203, 18920, 568, 6829, 607, 281, 300, 10225, 1696, 620, 1421, 476, 1960, 273, 5148, 543, 18529, 339, 568, 519, 942, 1900, 269, 634, 2203, 3340, 22883, 6053, 7856, 2121, 3859, 267, 19670, 8143, 267, 2011, 2837, 267, 11517, 2604, 267, 2842, 3432, 267, 3037, 2837, 267, 543, 13247, 269, 1775, 27409, 2128, 4564, 519, 6777, 17569, 607, 513, 1079, 2000, 9707, 1062, 267, 609, 513, 6378, 6253, 32169, 2627, 4494, 267, 543, 513, 4756, 11098, 2539, 4494, 8204, 519, 14230, 540, 519, 6777, 3382, 269, 634, 2203, 1939, 525, 856, 4707, 8143, 5982, 547, 1205, 681, 6339, 543, 31758, 585, 519, 1964, 540, 519, 1648, 3666, 269, 1403, 18529, 295, 568, 2942, 267, 519, 6777, 786, 3579, 267, 2810, 922, 4411, 1543, 267, 610, 519, 2179, 540, 1648, 2838, 547, 3142, 519, 6777, 547, 476, 271, 9180, 269, 1403, 18529, 295, 568, 2318, 267, 519, 6777, 786, 3636, 267, 4227, 922, 4411, 1543, 269, 4495, 519, 6777, 568, 693, 476, 271, 9180, 267, 519, 4411, 1543, 568, 4642, 543, 1022, 1840, 540, 1648, 786, 1267, 538, 15835, 269, 1403, 519, 1840, 540, 5277, 1216, 547, 519, 6777, 676, 2901, 15835, 267, 610, 4764, 20489, 476, 272, 260, 630, 291, 32713, 1696, 620, 1421, 476, 2735, 276, 1070, 519, 4430, 568, 5950, 547, 519, 3037, 607, 17335, 296, 269, 1403, 519, 2666, 568, 711, 6777, 4988, 267, 519, 2203, 10596, 13247, 602, 8813, 607, 4764, 547, 519, 3037, 607, 17335, 296, 563, 12850, 1032, 13247, 27954, 539, 2842, 3432, 543, 4287, 543, 1216, 1032, 3328, 2011, 2837, 563, 2171, 4019, 1775, 27409, 2128, 693, 606, 5662, 569, 942, 1900, 593, 513, 476, 1015, 2173, 667, 4932, 2813, 676, 759, 600, 7204, 519, 476, 272, 2173, 700, 573, 541, 23402, 11953, 3618, 15038, 2203, 269, 901, 6571, 5688, 3278, 938, 2702, 547, 7001, 10664, 543, 1283, 4919, 3604, 1247, 4509, 6190, 12985, 4398, 269, 6399, 3232, 17335, 292, 543, 17335, 296, 616, 6508, 689, 9757, 2203, 17016, 585, 519, 2185, 1353, 6952, 906, 543, 16432, 538, 513, 942, 3126, 10471, 269, 634, 2698, 17335, 296, 585, 519, 654, 312, 568, 1031, 538, 14966, 609, 6027, 1239, 547, 1020, 5993, 1216, 3666, 9193, 607, 4330, 538, 519, 1216, 3666, 1016, 7611, 563, 21801, 23803, 2360, 593, 6777, 13250, 543, 15835, 616, 20039, 585, 538, 1775, 27409, 2128, 676, 1362, 4328, 16347, 19641, 607, 1373, 15118, 23803, 26730, 3990, 267, 15118, 760, 619, 515, 2741, 1229, 267, 4104, 6679, 267, 610, 1930, 269, 634, 19984, 541, 23402, 476, 272, 332, 273, 1611, 10664, 4463, 4786, 729, 9286, 607, 15118, 23803, 610, 1100, 15118, 23803, 1210, 513, 476, 272, 269, 276, 2173, 12939, 1759, 593, 519, 8261, 10664, 4463, 12220, 630, 5408, 8431, 269, 476, 274, 264, 630, 26596, 4486, 1696, 620, 1421, 476, 1001, 274, 1040, 901, 12939, 729, 6074, 547, 7413, 519, 8760, 540, 1022, 824, 10664, 607, 15118, 23803, 269, 7844, 19641, 630, 1015, 6398, 476, 1015, 544, 267, 513, 476, 1911, 544, 273, 1858, 264, 941, 9286, 607, 15118, 23803, 13856, 952, 693, 2547, 835, 21017, 630, 3451, 264, 540, 519, 476, 272, 2173, 273, 700, 573, 541, 1591, 1873, 699, 9286, 607, 15118, 760, 619, 269, 901, 15061, 12939, 568, 6074, 593, 519, 4493, 540, 513, 6476, 1063, 2458, 11343, 19364, 7709, 11052, 543, 519, 476, 1015, 2173, 18920, 8760, 269, 14451, 29676, 16934, 1082, 19641, 609, 1804, 15118, 760, 619, 267, 1247, 2539, 29676, 21467, 560, 13846, 519, 15118, 23803, 3795, 540, 519, 16935, 269, 26228, 24588, 4463, 568, 7229, 607, 519, 1611, 540, 519, 476, 272, 2173, 700, 573, 541, 23402, 5021, 10664, 15627, 9286, 607, 15118, 23803, 269, 7844, 19641, 616, 9286, 607, 4104, 23761, 952, 693, 2547, 2947, 540, 519, 5216, 4478, 19641, 616, 9286, 607, 15118, 23803, 26730, 3990, 630, 310, 13318, 1537, 543, 29485, 267, 476, 1220, 273, 1040, 9947, 760, 619, 515, 2741, 1229, 19641, 616, 3989, 585, 1142, 540, 519, 29039, 2842, 8846, 543, 616, 593, 519, 682, 324, 2427, 540, 513, 18920, 9286, 607, 15118, 23803, 13856, 563, 15703, 4632, 1031, 547, 2196, 519, 6777, 2203, 616, 4299, 676, 15118, 760, 619, 267, 1519, 6777, 13250, 267, 2627, 2842, 11250, 267, 2121, 3859, 5982, 267, 543, 19670, 8143, 5982, 269, 1452, 2360, 543, 519, 9936, 1436, 540, 2203, 16519, 1424, 1239, 547, 2272, 585, 873, 616, 4330, 2663, 538, 519, 2404, 1016, 21827, 563, 310, 11596, 1117, 2127, 267, 519, 2600, 540, 519, 19641, 9286, 607, 15118, 23803, 26730, 3990, 267, 15038, 9832, 267, 543, 1611, 19527, 269, 6399, 6952, 618, 6173, 725, 616, 538, 24324, 563, 28733, 6607, 19670, 3859, 5982, 543, 6777, 620, 5523, 334, 616, 7229, 1210, 519, 12005, 14409, 4518, 17754, 577, 630, 7709, 310, 264, 3301, 10189, 10626, 3247, 528, 611, 630, 293, 4319, 267, 476, 1960, 271, 282, 300, 10225, 1696, 620, 1421, 476, 1960, 280, 321, 1040, 17547, 528, 611, 6589, 585, 519, 5872, 540, 1889, 25979, 27177, 267, 7229, 3141, 5086, 267, 543, 10686, 1227, 6508, 6777, 10286, 2450, 1759, 593, 519, 942, 689, 2063, 6777, 6420, 630, 2710, 345, 1512, 267, 476, 2735, 271, 282, 1684, 345, 1512, 543, 674, 4319, 267, 476, 2735, 272, 282, 14878, 599, 1695, 267, 476, 1960, 275, 269, 769, 5765, 3859, 5982, 543, 620, 5523, 334, 616, 8237, 883, 7298, 630, 271, 269, 2764, 1700, 271, 269, 3583, 18725, 332, 264, 543, 2282, 18342, 630, 271, 269, 3583, 1700, 273, 269, 279, 18725, 332, 264, 11445, 767, 9975, 547, 1732, 16347, 519, 2360, 540, 620, 5523, 334, 3604, 538, 1346, 20966, 630, 300, 6702, 718, 543, 25303, 267, 476, 2735, 278, 1040, 5637, 7298, 543, 2282 ]

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

[ 540, 2110, 2165, 7963, 538, 8492, 7616, 269, 7324, 560, 1866, 267, 2362, 16005, 3928, 723, 8329, 3648, 2509, 2333, 538, 7963, 7616, 3790, 585, 8492, 269, 4014, 519, 2671, 540, 9698, 814, 849, 2799, 538, 519, 8492, 685, 7616, 5888, 855, 621, 814, 711, 8329, 1454, 2509, 2242, 538, 8027, 10211, 3928, 267, 2094, 789, 616, 1447, 19408, 269, 19402, 5063, 267, 538, 476, 1001, 272, 267, 519, 3262, 1063, 3044, 8027, 10211, 2557, 543, 6666, 2557, 814, 4389, 676, 827, 476, 1015, 4493, 2798, 1813, 547, 519, 2333, 538, 28774, 6035, 676, 519, 8492, 593, 1007, 6180, 326, 1137, 267, 855, 621, 779, 1152, 513, 1507, 5786, 3379, 547, 519, 2949, 3262, 269, 7305, 540, 12937, 7305, 540, 12937, 476, 274, 654, 573, 2287, 540, 519, 3262, 1063, 519, 2101, 1532, 3471, 3044, 4756, 8027, 10211, 2557, 543, 519, 681, 10621, 779, 6666, 2557, 2094, 476, 1220, 278, 476, 275, 681, 10621, 779, 22418, 15580, 476, 275, 24438, 24184, 10753, 534, 15580, 543, 22418, 15580, 476, 275, 23531, 540, 24434, 685, 8750, 532, 476, 276, 8779, 540, 32124, 543, 24054, 8750, 532, 476, 276, 623, 878, 532, 585, 11485, 543, 24434, 685, 24184, 10753, 534, 26162, 476, 277, 10390, 476, 277, 5903, 540, 28977, 476, 278, 22108, 476, 1015, 31639, 476, 1321, 654, 573, 2287, 540, 519, 3262, 1063, 519, 2101, 1532, 3471, 3044, 4756, 8027, 10211, 2557, 543, 519, 681, 10621, 779, 6666, 2557, 2094, 476, 1220, 278, 681, 10621, 779, 22418, 15580, 634, 1883, 6662, 540, 681, 10621, 779, 13075, 3609, 568, 547, 2539, 519, 10637, 2557, 267, 13389, 1472, 476, 273, 547, 476, 274, 10065, 4033, 6859, 540, 681, 10621, 779, 13075, 3609, 1331, 1970, 13864, 2557, 543, 4509, 513, 7123, 2208, 540, 8241, 4346, 269, 22418, 2557, 568, 519, 3119, 1907, 799, 568, 1031, 676, 681, 10621, 547, 10038, 519, 13075, 3609, 538, 519, 2197, 269, 898, 4679, 3077, 6666, 2557, 950, 519, 10637, 2604, 568, 538, 4430, 540, 519, 681, 10621, 779, 3077, 543, 621, 11081, 519, 3077, 6666, 2557, 950, 519, 4346, 666, 1332, 693, 513, 5488, 2557, 1510, 2870, 1022, 10637, 1966, 630, 20181, 324, 267, 476, 1960, 276, 267, 533, 269, 476, 274, 268, 1428, 1040, 1403, 649, 1413, 693, 519, 1686, 540, 681, 10621, 779, 6666, 2557, 267, 621, 666, 581, 18505, 1042, 602, 972, 814, 1044, 513, 11931, 2333, 538, 6666, 2557, 689, 476, 1220, 278, 11489, 4571, 476, 1220, 279, 267, 799, 729, 519, 4098, 540, 6820, 11038, 19822, 630, 294, 15598, 1040, 3973, 972, 729, 513, 8325, 7771, 538, 6666, 2557, 1282, 519, 1974, 540, 4571, 476, 1220, 279, 11489, 4989, 267, 476, 1220, 280, 269, 634, 6666, 2557, 729, 607, 1970, 607, 476, 274, 260, 543, 4797, 547, 581, 865, 11489, 5181, 267, 476, 1220, 280, 269, 4595, 5239, 267, 476, 1220, 280, 267, 972, 1185, 1044, 513, 11931, 2333, 538, 6666, 2557, 630, 20877, 476, 272, 1040, 19402, 5063, 972, 1185, 1044, 5634, 11912, 538, 6666, 2557, 543, 568, 693, 476, 275, 269, 1839, 9077, 607, 540, 2221, 630, 305, 10621, 267, 562, 6155, 12175, 24438, 24184, 10753, 534, 15580, 543, 22418, 15580, 634, 7678, 540, 3044, 4756, 8027, 10211, 3928, 568, 5156, 547, 1246, 519, 7678, 540, 6666, 2557, 269, 898, 568, 865, 1317, 519, 7622, 1942, 540, 7482, 616, 9141, 676, 519, 6666, 2557, 269, 1403, 649, 5635, 519, 3044, 4756, 8027, 10211, 2557, 609, 6666, 2557, 267, 649, 1265, 606, 2949, 2178, 9756, 1063, 891, 1079, 3928, 936, 519, 1296, 855, 609, 930, 22114, 538, 1063, 630, 20877, 476, 273, 1040, 1403, 649, 4585, 5702, 267, 621, 666, 581, 1336, 602, 972, 814, 1044, 606, 2810, 3262, 1063, 519, 2101, 4871, 779, 3044, 4756, 8027, 10211, 2557, 543, 519, 6666, 2557, 2094, 476, 1220, 278, 269, 901, 2333, 538, 4756, 8027, 10211, 2557, 676, 2101, 8492, 3448, 547, 519, 6666, 2557, 666, 581, 11911, 547, 519, 2333, 538, 4871, 779, 1942, 540, 7963, 7616, 269, 769, 1840, 547, 713, 267, 2362, 9698, 7616, 3790, 543, 2333, 538, 4397, 9271, 723, 849, 11911, 547, 713, 11097, 2287, 540, 3262, 1063, 519, 1079, 3928, 269, 19402, 5063, 267, 538, 476, 1001, 272, 267, 519, 3262, 814, 4389, 676, 827, 476, 1015, 454, 293, 2562, 23814, 15445, 12834, 681, 10621, 3096, 22418, 15580, 607, 513, 1907, 585, 22589, 519, 13075, 3609, 538, 5245, 547, 1852, 10637, 2604, 538, 519, 2197, 269, 15788, 267, 6666, 2557, 2982, 513, 2318, 2810, 7678, 538, 519, 2197, 267, 609, 519, 9868, 1282, 519, 1296, 540, 6820, 11038, 19822, 7498, 1607, 1382, 786, 2253, 609, 519, 7778, 540, 15407, 4444, 719, 269, 1323, 3919, 568, 1419, 3144, 936, 676, 513, 1880, 6109, 3238, 538, 5092, 2238, 269, 1452, 10909, 946, 513, 26483, 6263, 6712, 540, 9698, 543, 513, 26483, 1804, 6712, 540, 3544, 7963, 14104, 269, 901, 1826, 540, 2534, 568, 1634, 607, 15407, 4444, 719, 563, 1607, 729, 519, 2013, 1991, 547, 6820, 11038, 19822, 630, 294, 15598, 1040, 4595, 476, 1220, 278, 267, 972, 814, 1044, 513, 1713, 4473, 538, 519, 3262, 1063, 2101, 8492, 685, 8027, 10211, 3928, 543, 681, 10621, 779, 6666, 2557, 269, 901, 814, 1044, 11911, 547, 519, 4473, 538, 7616, 3790, 585, 8492, 269, 9603, 547, 717, 15598, 267, 782, 2101, 8492, 723, 20916, 2509, 1210, 1279, 2165, 7963, 543, 12074, 607, 741, 1292, 2707, 540, 7616, 1317, 789, 616, 2808, 547, 581, 811, 2922, 543, 7123, 7616, 2707, 585, 8492, 563, 4322, 2242, 4749, 1860, 19736, 796, 3225, 958, 543, 666, 581, 31965, 998, 29159, 610, 15949, 3101, 269, 667, 1392, 2305, 666, 581, 2944, 676, 5887, 1005, 883, 6378, 4747, 19736, 609, 1114, 5712, 1247, 15949, 3101, 568, 2944, 998, 519, 23396, 540, 1719, 2557, 563, 29995, 519, 1870, 1544, 5713, 607, 513, 968, 338, 2297, 892, 3561, 267, 538, 602, 621, 568, 9513, 519, 1870, 547, 513, 17053, 20090, 610, 547, 513, 8804, 8502, 971, 607, 513, 4871, 607, 513, 1434, 5092, 270, 14490, 269, 634, 2596, 4170, 585, 713, 1599, 616, 519, 1482, 267, 4352, 519, 5449, 786, 1445, 593, 513, 2557, 540, 2132, 585, 519, 20090, 267, 1247, 519, 8545, 786, 1445, 593, 519, 26622, 540, 519, 10211, 2838, 563, 280, 17217, 3297, 19805, 20764, 675, 13317, 476, 280, 5900, 847, 4369, 540, 713, 14679, 476, 1015, 22108, 476, 1724, 31639, 476, 1691, 2561, 754, 1182, 476, 1428, 3487, 272, 269, 13517, 827, 519, 6355, 634, 1870, 568, 827, 6679, 513, 8516, 4099, 538, 25480, 269, 634, 8516, 4099, 786, 581, 13883, 693, 519, 5087, 540, 2160, 540, 25480, 563, 7468, 10675, 24054, 8750, 338, 563, 7468, 10675, 24054, 568, 519, 2707, 540, 3854, 602, 568, 6659, 3544, 519, 1857, 9698, 2344, 538, 1931, 547, 1118, 5092, 538, 1022, 10697, 610, 3919, 630, 312, 784, 267, 476, 1001, 273, 1040, 634, 7482, 6659, 689, 519, 4357, 9698, 2344, 616, 3622, 21433, 689, 1346, 9520, 945, 616, 1634, 607, 2048, 15905, 4891, 685, 799, 616, 1287, 8655, 547, 519, 9757, 9541, 609, 519, 948, 540, 519, 2508, 9946, 630, 10193, 1572, 2048, 2102, 1968, 4891, 685, 1916, 2252, 1719, 3928, 616, 5462, 593, 513, 1114, 4493, 585, 7221, 543, 20824, 1287, 513, 6109, 2348, 12029, 543, 22440, 786, 3068, 4493, 1981, 269, 589, 2754, 8188, 4493, 1981, 950, 519, 1719, 3928, 593, 922, 12029, 543, 22440, 616, 5462, 1210, 1114, 4493, 269, 630, 289, 3089, 2917, 267, 476, 1960, 277, 264, 27539, 585, 1383, 602, 9947, 528, 1773, 322, 2152, 513, 6378, 2557, 6125, 547, 2508, 922, 14104, 2115, 543, 693, 519, 1482, 942, 3947, 856, 513, 10211, 547, 1776, 5428, 693, 513, 13735, 1719, 2557, 563, 763, 1034, 1271, 7156, 568, 1018, 1106, 540, 3854, 2497, 1131, 581, 1034, 5363, 538, 21924, 519, 10909, 1871, 269, 901, 1957, 11394, 547, 2232, 519, 3390, 540, 1018, 13054, 606, 6099, 3854, 2497, 267, 543, 1018 ]

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

[ 519, 3037, 267, 519, 804, 830, 2223, 968, 383, 486, 1391, 320, 3288, 3148, 324, 267, 3331, 357, 1391, 334, 24924, 647, 23383, 267, 24924, 6172, 320, 892, 476, 273, 590, 4660, 1287, 519, 4503, 2895, 13370, 267, 968, 10472, 519, 10160, 771, 572, 782, 7702, 561, 685, 6635, 322, 32109, 829, 323, 19513, 267, 1391, 320, 3331, 357, 3288, 6822, 324, 476, 274, 2334, 649, 1590, 1689, 585, 13140, 267, 713, 22378, 333, 995, 1350, 7112, 1750, 524, 328, 547, 17433, 513, 3164, 538, 524, 3711, 1470, 1642, 524, 1408, 334, 267, 1391, 320, 959, 626, 324, 15259, 2017, 527, 14504, 269, 11184, 726, 345, 16253, 2560, 296, 6557, 7996, 16634, 26926, 374, 20804, 267, 590, 13446, 855, 594, 666, 1406, 948, 596, 269, 29859, 779, 22946, 568, 711, 513, 1483, 1747, 256, 901, 729, 2731, 5363, 585, 803, 538, 1250, 2852, 11400, 269, 968, 291, 1054, 2696, 3169, 1554, 2000, 629, 712, 267, 1769, 17792, 9495, 1703, 568, 606, 20451, 998, 30616, 779, 4633, 799, 16111, 6971, 1010, 588, 1155, 1256, 950, 15151, 621, 4667, 547, 581, 2679, 621, 909, 269, 898, 568, 16122, 602, 782, 540, 873, 1058, 27043, 543, 5077, 875, 789, 949, 1934, 12898, 1034, 1055, 754, 741, 10546, 267, 1655, 7816, 741, 1378, 2530, 269, 898, 568, 827, 30616, 779, 18326, 1996, 2696, 269, 2991, 9561, 519, 2112, 30616, 543, 2142, 601, 2763, 321, 889, 941, 9292, 1194, 1524, 689, 13140, 676, 2696, 267, 543, 29802, 538, 22946, 269, 1261, 9299, 2478, 1200, 1862, 476, 272, 3447, 1807, 8382, 269, 14088, 543, 18832, 941, 711, 968, 763, 5345, 559, 5608, 789, 1705, 711, 31111, 1996, 1864, 267, 789, 1152, 27136, 5674, 539, 1864, 543, 741, 10751, 729, 7646, 518, 982, 30616, 779, 835, 269, 4347, 324, 520, 568, 2347, 1152, 950, 519, 6891, 543, 519, 786, 1932, 616, 1016, 24503, 730, 269, 1261, 7512, 543, 1623, 12949, 3278, 609, 1010, 13794, 609, 12050, 1913, 543, 27742, 269, 1772, 3751, 569, 269, 10801, 267, 30616, 5543, 1407, 968, 1729, 13230, 676, 3196, 610, 1368, 850, 18163, 2112, 1848, 13536, 646, 4025, 606, 4244, 1354, 519, 1102, 1716, 531, 14643, 968, 641, 685, 333, 2112, 610, 1071, 3200, 1368, 850, 1848, 1809, 1631, 835, 9060, 602, 519, 8561, 568, 593, 2112, 711, 1368, 850, 269, 13673, 9898, 707, 661, 7246, 6579, 5084, 11403, 8577, 543, 717, 4953, 661, 7246, 6579, 700, 8577, 2177, 306, 256, 2368, 3988, 2015, 30616, 547, 581, 519, 5869, 267, 610, 16502, 267, 540, 519, 1650, 267, 1317, 646, 9620, 547, 7753, 1010, 1378, 22027, 543, 12755, 543, 6104, 8460, 1010, 3804, 540, 18348, 532, 30768, 269, 3371, 693, 2547, 4985, 547, 519, 6648, 267, 543, 1101, 1045, 6327, 1496, 272, 268, 316, 645, 269, 30616, 543, 1010, 9114, 23133, 32570, 538, 519, 10720, 540, 3595, 1496, 2004, 268, 28434, 316, 6271, 26881, 267, 5617, 658, 267, 9969, 4181, 267, 11021, 602, 789, 798, 4986, 269, 1261, 7959, 21616, 1317, 646, 568, 3222, 602, 646, 814, 3893, 13007, 14084, 3330, 1864, 267, 8117, 646, 568, 849, 3222, 602, 646, 666, 1406, 946, 621, 1317, 540, 21901, 968, 821, 13669, 550, 26612, 30616, 3112, 10505, 267, 1317, 646, 814, 1932, 1454, 11348, 269, 8073, 513, 1863, 3896, 610, 5816, 693, 31964, 2593, 269, 901, 2887, 3323, 519, 1480, 5198, 1934, 593, 3618, 269, 3883, 594, 540, 21537, 1047, 23452, 5956, 609, 513, 7139, 4084, 538, 799, 29859, 15824, 519, 2757, 12473, 4305, 540, 1045, 3183, 519, 631, 2224, 543, 17548, 1010, 3483, 269, 630, 8298, 4934, 1315, 1879, 2696, 7333, 8460, 1864, 689, 24656, 267, 646, 7959, 5128, 13676, 543, 6499, 547, 1491, 513, 20947, 1996, 1864, 267, 18348, 532, 3571, 1007, 5137, 281, 812, 269, 898, 568, 968, 321, 21392, 547, 12081, 538, 18774, 982, 4196, 538, 24656, 1848, 269, 21537, 1047, 23452, 568, 513, 6281, 15828, 3438, 776, 12473, 6648, 630, 3119, 12473, 568, 5711, 267, 585, 3236, 29028, 267, 594, 2993, 611, 543, 31660, 1040, 1772, 621, 1175, 602, 2696, 1131, 1711, 30616, 543, 14088, 543, 18832, 6616, 602, 789, 1131, 31111, 1996, 1864, 286, 1261, 568, 519, 6205, 540, 519, 31111, 268, 836, 1564, 538, 24656, 543, 519, 4608, 27547, 16313, 540, 18774, 269, 19534, 281, 3571, 18531, 616, 519, 1883, 547, 1010, 1915, 543, 1010, 1148, 540, 610, 2218, 608, 26118, 519, 1655, 540, 4936, 20116, 269, 1703, 616, 849, 930, 23199, 281, 1769, 799, 6763, 585, 8289, 538, 1899, 476, 272, 267, 13669, 550, 799, 6763, 585, 21184, 538, 1899, 476, 274, 543, 1554, 2000, 629, 712, 799, 6763, 585, 960, 538, 1899, 476, 278, 269, 30616, 2760, 2047, 4408, 1864, 267, 855, 2696, 568, 2141, 538, 1010, 4555, 269, 11374, 3571, 8846, 267, 741, 24983, 3587, 7646, 543, 789, 666, 581, 9859, 538, 519, 1318, 1259, 543, 968, 338, 2925, 13924, 1655, 6100, 1924, 646, 568, 5462, 547, 13230, 18163, 2112, 676, 3196, 610, 1368, 850, 269, 1733, 558, 19711, 8602, 1500, 3152, 286, 7064, 267, 713, 568, 2731, 5363, 585, 10790, 2296, 1053, 907, 256, 968, 293, 691, 4554, 689, 1864, 568, 1655, 892, 568, 513, 3948, 540, 24123, 1219, 4800, 543, 540, 5837, 32238, 269, 1411, 616, 13886, 547, 11240, 725, 827, 3054, 543, 707, 1920, 952, 596, 2461, 22233, 543, 7281, 25442, 569, 585, 519, 5168, 269, 4595, 516, 569, 585, 519, 1219, 839, 540, 1863, 2219, 286, 1946, 568, 711, 741, 1616, 540, 20519, 855, 2696, 568, 1065, 550, 1862, 700, 3151, 519, 2112, 30616, 543, 2142, 601, 2763, 321, 889, 941, 9292, 1194, 1524, 689, 24656, 676, 2696, 2864, 621, 729, 1282, 1974, 269, 774, 773, 1957, 594, 729, 5863, 950, 729, 2542, 555, 625, 324, 4930, 267, 922, 1175, 1659, 338, 25537, 907, 579, 2731, 1705, 513, 2816, 2507, 341, 23357, 845, 894, 2507, 628, 333, 31343, 340, 269, 4256, 1033, 3737, 14326, 2141, 5433, 1119, 7949, 540, 24656, 1010, 18340, 1568, 646, 29846, 3909, 267, 3540, 6469, 269, 15552, 545, 1219, 4800, 543, 540, 5837, 32238, 543, 513, 1390, 2816, 2507, 341, 23357, 845, 894, 2507, 628, 333, 31343, 340, 281, 3738, 689, 513, 5339, 1448, 540, 2070, 267, 9607, 269, 2598, 323, 664, 9232, 543, 968, 2631, 540, 13676, 20519, 538, 873, 799, 17993, 519, 12271, 540, 1010, 942, 2797, 269, 634, 27823, 2875, 610, 4116, 538, 991, 519, 6891, 543, 519, 4608, 27547, 16313, 540, 267, 256, 11408, 538, 1010, 3659, 11313, 521, 3140, 540, 968, 6126, 4610, 1141, 7772, 585, 2479, 17743, 338, 281, 30339, 3520, 5558, 30339, 269, 3115, 25209, 1864, 12354, 1511, 543, 519, 4608, 27547, 16313, 540, 22946, 538, 555, 773, 1957, 646, 256, 10558, 513, 3020, 2272, 540, 8885, 9232, 585, 4250, 602, 2696, 1131, 1711, 543, 256, 1488, 6135, 539, 543, 1287, 5950, 6965, 729, 6766, 676, 519, 3140, 2621, 540, 1010, 13794, 616, 4934, 269, 5668, 1263, 539, 2696, 543, 941, 17204, 7868, 2898, 2495, 540, 519, 2046, 267, 12057, 543, 16028, 729, 585, 256, 2986, 721, 3883, 26577, 540, 21537, 1047, 23452, 9232, 910, 476, 14917, 278, 910, 30616, 543, 1010, 10100, 568, 7000, 2760, 256, 9093, 269, 6616, 9232, 519, 1034, 11347, 540, 519, 2046, 1247, 519, 1317, 269, 2107, 4945, 606, 12835, 547, 8298, 538, 281, 1411, 616, 6085, 532, 1210, 31964, 2593, 269, 6399, 789, 723, 23452, 519, 2361, 267, 855, 1010, 11348, 568, 1869, 1932, 1390, 547, 2307, 2696, 1065, 550, 766, 256, 4256, 9997, 10546, 543, 1010, 10100, 568, 7000, 547, 2760, 10505, 610, 21704, 4843, 607, 513, 2168, 2669, 2705, 568, 256, 1879, 835, 30650, 519, 2262, 30616, 267, 1065, 550, 766, 7959, 899, 1932, 1164, 3902, 269, 31326, 269, 4467, 25439, 281, 476, 31648, 26482, 271, 4510, 2420, 1421, 568, 835, 540, 519, 6648, 568, 540, 1576, 568, 1862, 5274, 5198, 1934, 593, 3618, 17192, 18976, 543, 798, 1390, 5491, 547, 29859, 11313, 521, 22946, 711, 1862, 1635, 2696, 267, 543, 13414, 782, 22027, 689, 1010, 3659, 568, 7543, 602, 5318, 256, 1656, 16028, 1576, 21901, 814, 4986, 855, 733, 3319, 585, 2696, 945, 29405, 539, 26350, 269, 808, 269, 29859, 630, 476, 8182, 279, 1107, 476, 15757, 275, 3738, 910, 968, 21537, 1047, 23452, 538, 8144, 547, 7521, 519, 1847, 1862, 1677, 2628, 519, 6560, 267, 11021, 602, 789, 723, 1831, 1285, 15735, 14763, 540, 2696, 519, 256, 1280, 873, 543, 782, 540, 721, 1010, 20158, 7980, 1310, 513, 14710, 998, 519, 1930, 4655, 540, 907, 31621, 547, 20834, 1125, 1010, 4229, 2899, 1586, 267, 6857, 540, 519, 2046, 1247, 519, 8830, 30808, 17246, 1228, 1863, 4901, 707, 2272, 1862, 853, 1155, 1256, 950, 15151, 621, 4667, 547, 581, 17204, 543, 27052, 2560, 907, 25778, 3022, 609, 803, 24631, 9232, 30616, 602, 256, 1323, 14969, 17599, 267, 519, 12312, 267, 782, 941, 1287, 547, 1995, 513, 2168, 855, 1862, 1306, 29965, 1767, 267, 968, 29859, 568, 593, 519, 2552, 5799, 21409, 1657, 538, 1862, 24656, 540, 22946, 1411, 27032, 4503, 1433, 476, 272, 2893, 534, 781, 4633, 5758, 2731, 5363, 585, 803, 1317, 594, 1589, 602, 1169, 851, 540, 2046, 256, 1403, 602, 1747, 568, 1350, 334, 3912, 543, 29695, 3592, 607, 646, 1185, 1360, 2370, 540, 7453, 269, 15020, 4502, 2542, 543, 5280, 803, 607, 513, 2168, 2669, 1411, 256, 2731, 5363, 585, 538, 269, 1677, 2847, 633, 741, 1033, 3737, 14326, 543, 17229, 267, 5956, 1010, 4633, 568, 865, 4971, 532, 543, 535, 30711, 602, 1010, 13794, 1655, 269, 634, 12354, 1511, 543, 519, 1034, 4583, 18531, 676, 30616, 5128, 4367, 281, 3040, 30616, 540, 3883, 16927, 23452, 24222, 1463, 543, 3196, 995, 267, 814, 519, 4162, 540, 519, 31111, 268, 836, 1564, 538, 24656, 707, 2272, 269, 1656, 27032, 4503, 1433, 476, 272, 2893, 534, 781, 4633, 5758, 2813, 30616, 1915, 543, 1010, 1148, 540, 610, 2218, 608, 26118, 519, 1655, 1259, 547, 4196, 972, 5976, 1250, 9232, 269, 7313, 655, 281, 1548, 1498, 519, 2361, 267, 855, 971, 1967, 568, 1152, 513, 9864, 1967, 2040, 3000, 539, 256, 901, 9327, 11313, 512, 1256, 917, 789, 941, 21736, 4309, 513, 1560, 267, 1775, 4318, 606, 14969, 267, 29755, 1745, 1863, 547, 3346, 803, 269, 8025, 3198, 16775, 602, 1631, 646, 568, 4904, 609, 11348, 547, 723, 12081, 269, 7971, 6509, 646, 18656, 2471, 538, 20116, 607, 519, 1583, 25871, 12008, 835, 30650, 519, 2262, 30616, 267, 543, 538, 741, 1459, 23511, 1684, 1682, 1485, 949, 1065, 25209, 1864, 10100, 547, 1010, 1915, 543, 1010, 1148, 540, 610, 2218, 608, 26118, 519, 610, 2218, 256, 16440, 1010, 1378, 11348, 1459, 513, 3020, 2272, 540, 8885, 9232, 585, 4250, 2696, 1862, 1656, 31660, 3738, 11313, 9843, 733, 3319, 585, 2696, 945, 29405, 539, 1010, 26350, 540, 30616, 726, 338, 948, 256, 741, 269, 8307, 998, 519, 1930, 4655, 540, 2093, 5191, 540, 519, 31111, 268, 836, 1564, 538, 24656, 538, 269, 2037, 768, 748, 10952, 5763, 646, 791, 14975, 538, 1010, 3515, 1148, 540, 610, 2218, 608, 26118, 519, 1655, 540, 4936, 2807, 5221, 1010, 968, 9997, 568, 811, 18761, 547, 4196, 972, 5976, 1250, 631, 6033, 9232, 521, 11802, 2112, 1996, 519, 540, 269, 15020, 4463, 540, 19621, 1016, 3916, 640, 1034, 11347, 540, 519, 2376, 568, 1271, 519, 1732, 711, 267, 256, 6034, 543, 3196, 995, 267, 27032, 4503, 1433, 476, 272, 2893, 534, 781, 4633, 5758, 519, 4162, 540, 519, 12473, 20100, 538, 10750, 2296, 519, 269, 2353, 7264, 540, 713, 1382, 568, 547, 1065, 550, 543, 646, 15189, 1586, 543, 1169, 344, 344, 344, 344, 5503, 950, 29859, 1185, 27032, 4503, 1433, 476, 272, 2893, 534, 781, 4633, 5758, 2807, 634, 1459, 267, 789, 949, 723, 23452, 3388, 6170, 1010, 942, 1603, 30732, 7410, 269, 1280, 803, 1317, 594, 1589, 602, 1169, 851, 540, 519, 8574, 267, 519, 20991, 789, 616, 782, 3532, 543, 972, 256, 1772, 606, 20451, 998, 30616, 11313, 521, 18326, 1996, 2696, 1806, 540, 5718, 256, 5455, 538, 519, 1318, 1259, 543, 968, 2631, 540, 13676, 20519, 9232, 723, 936, 2023, 525, 519, 256, 634, 2956, 540, 4984, 538, 519, 2797, 2238, 616, 1134, 4547, 4934, 538, 891, 27032, 4503, 1433, 476, 272, 2893, 534, 781, 4633, 5758, 1256, 540, 1346, 945, 9420, 1862, 2986, 20519, 855, 2696, 11313, 521, 30616, 23836, 1373, 13957, 883, 21537, 1047, 13788, 256, 2060, 513, 1895, 1010, 1582, 21873, 27032, 4503, 1433, 476, 272, 2893, 534, 781, 4633, 5758, 8990, 540, 519, 13818, 13055, 538, 24656, 543, 538, 3294, 1118, 1862, 1763, 6342, 540 ]

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

[ 543, 10381, 543, 890, 778, 25865, 321, 2401, 267, 972, 781, 1945, 585, 3025, 547, 2972, 780, 4131, 781, 1376, 609, 835, 540, 519, 1034, 11599, 9997, 1426, 8286, 281, 22304, 9269, 269, 17054, 9269, 814, 1044, 1472, 2094, 7810, 2053, 267, 950, 13677, 11082, 4547, 936, 741, 11600, 585, 2620, 1922, 11538, 9269, 538, 3170, 269, 1717, 267, 621, 7012, 1405, 2394, 1310, 519, 6406, 2782, 602, 22304, 9269, 2968, 2404, 609, 3979, 1977, 2528, 269, 3416, 331, 8491, 20338, 1185, 1044, 8600, 543, 4189, 22304, 9269, 1279, 1354, 1287, 267, 855, 621, 729, 1152, 1310, 31414, 602, 789, 1223, 6488, 547, 4444, 17944, 543, 3434, 873, 585, 2933, 269, 4653, 267, 5743, 6853, 22304, 9269, 3788, 513, 20013, 540, 9997, 1426, 27487, 10876, 780, 5194, 2442, 9997, 1426, 8670, 568, 2458, 731, 16719, 269, 7502, 1841, 616, 513, 1826, 540, 21364, 3039, 10448, 602, 723, 1044, 16916, 538, 4000, 585, 5215, 540, 1296, 269, 1358, 941, 4547, 936, 547, 3013, 1282, 519, 10553, 4123, 543, 3533, 2968, 513, 1455, 12146, 538, 7013, 5986, 269, 1677, 5965, 2458, 731, 16719, 267, 789, 616, 2356, 1138, 332, 1229, 7444, 609, 8423, 554, 4169, 610, 28019, 585, 1896, 3108, 2394, 13035, 269, 634, 1267, 568, 513, 29316, 2427, 8670, 602, 8424, 9985, 609, 22304, 9269, 780, 8170, 1576, 267, 1100, 7594, 1131, 581, 2347, 1510, 18397, 269, 2290, 540, 1250, 2123, 29202, 568, 890, 778, 25865, 321, 2401, 269, 3212, 2851, 616, 1776, 4829, 602, 941, 4547, 936, 689, 4000, 543, 2968, 513, 2442, 12146, 538, 7013, 5986, 269, 1280, 713, 11600, 267, 4195, 890, 2851, 616, 6404, 609, 4006, 267, 24036, 267, 543, 2428, 332, 1122, 267, 1287, 4988, 609, 513, 1166, 21294, 536, 4593, 3726, 14859, 269, 4495, 19323, 267, 519, 30861, 11423, 18616, 909, 998, 519, 12933, 2870, 513, 6653, 543, 17598, 1521, 780, 3719, 2614, 827, 803, 1107, 1577, 781, 2911, 827, 875, 9358, 666, 1205, 3238, 256, 1403, 596, 2661, 538, 606, 4683, 4099, 267, 8458, 616, 972, 616, 7899, 540, 9997, 1426, 14060, 2282, 596, 269, 4208, 711, 2119, 9683, 835, 543, 19280, 513, 1906, 8286, 547, 2671, 609, 707, 1920, 286, 2107, 1732, 2943, 267, 1946, 711, 2119, 1818, 930, 9997, 1426, 693, 1753, 286, 1703, 616, 9748, 540, 10346, 2228, 602, 8597, 547, 1169, 5578, 1377, 269, 3502, 1152, 786, 596, 1451, 811, 827, 713, 4241, 11951, 267, 855, 596, 3513, 849, 581, 5885, 2199, 4213, 543, 8497, 606, 1271, 4062, 540, 3979, 1977, 6561, 780, 1103, 3932, 267, 9997, 1426, 568, 811, 982, 1175, 4313, 1426, 282, 621, 781, 513, 15266, 547, 519, 6043, 543, 5876, 540, 3979, 4892, 2429, 1686, 269, 1635, 3695, 1114, 3344, 540, 9997, 1426, 2528, 267, 649, 666, 2744, 513, 4514, 7071, 585, 519, 3309, 2950, 602, 1118, 909, 938, 4872, 269, 1924, 979, 6619, 267, 2285, 9997, 1426, 513, 2119, 1107, 707, 6492, 19512, 630, 663, 707, 2146, 264, 786, 9684, 596, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1432, 781, 2659, 7726, 888, 1015, 4279, 23089, 547, 28820, 566, 538, 5412, 454, 20103, 1920, 7477, 725, 666, 581, 14949, 982, 7477, 725, 693, 1022, 824, 942, 540, 519, 1032, 269, 1809, 972, 779, 513, 2601, 585, 602, 281, 13518, 540, 519, 8832, 25955, 4991, 7168, 4411, 538, 519, 5162, 3275, 269, 12846, 267, 972, 616, 930, 1390, 7477, 725, 547, 581, 1336, 2443, 1519, 930, 538, 4025, 596, 1522, 711, 3921, 27274, 1589, 540, 563, 6124, 3840, 4975, 454, 2467, 779, 4986, 899, 8285, 538, 1715, 3840, 269, 1411, 4076, 2938, 621, 538, 3875, 9413, 269, 10979, 1236, 908, 676, 519, 18842, 651, 325, 11839, 4741, 267, 3063, 341, 698, 656, 25004, 22971, 10918, 267, 8337, 15483, 339, 5661, 543, 1158, 11665, 14060, 782, 24098, 519, 5162, 8262, 11197, 24413, 563, 5719, 987, 9503, 949, 581, 835, 540, 519, 29224, 4025, 593, 3047, 585, 1454, 540, 519, 1032, 267, 855, 538, 5412, 5210, 6749, 547, 513, 6899, 476, 4792, 5232, 18278, 1282, 519, 1554, 269, 2334, 2306, 713, 6382, 10238, 1438, 10278, 4998, 585, 1390, 19482, 7477, 725, 538, 519, 5162, 563, 2252, 596, 1175, 1616, 547, 10726, 519, 5162, 21462, 267, 1946, 711, 1491, 519, 1920, 547, 24543, 286, 1411, 666, 8661, 8285, 693, 519, 11824, 269, 18222, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 13636, 1299, 8836, 1315, 31522, 5253, 1315, 31522, 5253, 538, 12124, 15544, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 634, 4425, 558, 19087, 538, 18207, 1014, 9085, 692, 7072, 1384, 1103, 519, 4571, 2389, 342, 12351, 2540, 267, 5824, 3013, 4810, 513, 5339, 22820, 602, 7604, 1078, 930, 540, 922, 1034, 16805, 5830, 269, 901, 1974, 729, 6825, 676, 2797, 30331, 10052, 267, 1514, 1689, 267, 543, 2804, 10462, 910, 2188, 602, 7494, 6766, 519, 4798, 8268, 538, 3332, 1282, 713, 942, 269, 7324, 891, 2477, 267, 21896, 1185, 922, 4023, 2671, 540, 7418, 547, 519, 3350, 267, 3366, 676, 4589, 971, 607, 28792, 25661, 807, 3057, 4302, 345, 267, 631, 9222, 966, 1173, 553, 24510, 6242, 267, 543, 808, 5282, 30511, 16907, 2471, 269, 769, 713, 1576, 1770, 267, 649, 786, 5490, 4514, 883, 519, 1568, 3812, 676, 18207, 1014, 4589, 1282, 713, 1974, 543, 5659, 741, 10083, 538, 4207, 2486, 780, 296, 269, 8466, 12745, 281, 4197, 519, 4425, 558, 19087, 692, 2414, 1174, 519, 4644, 540, 519, 4425, 558, 5108, 538, 18207, 1014, 3332, 267, 621, 781, 1898, 1101, 547, 2263, 519, 3140, 2796, 538, 799, 891, 1568, 941, 2813, 269, 4438, 713, 1974, 267, 1082, 5824, 1977, 6082, 5185, 1713, 2591, 267, 1519, 6710, 267, 8635, 267, 13313, 267, 543, 5208, 269, 1452, 2152, 1419, 6039, 607, 6667, 585, 519, 4589, 267, 4611, 538, 3532, 6386, 602, 12006, 519, 9620, 540, 8723, 4961, 269, 5047, 267, 519, 4473, 540, 1007, 4066, 543, 2923, 5867, 4847, 891, 2984, 547, 3914, 6626, 9458, 982, 2479, 1354, 780, 2862, 269, 11683, 21771, 4112, 1819, 676, 18207, 1014, 22439, 692, 8624, 4861, 1014, 4589, 1282, 519, 4425, 558, 5736, 5059, 593, 1896, 2101, 4798, 602, 6949, 730, 609, 3988, 1312, 12725, 543, 11451, 269, 2368, 540, 891, 4798, 3769, 1384, 265, 20222, 543, 18366, 281, 3509, 1568, 3812, 1282, 713, 1974, 10704, 1472, 519, 2197, 781, 5571, 3540, 2112, 1063, 2229, 4229, 543, 1368, 20482, 8759, 2516, 269, 1452, 2984, 8774, 1769, 593, 519, 14042, 4539, 540, 4655, 543, 3177, 5813, 883, 519, 2729, 540, 1346, 4299, 563, 265, 4317, 32389, 281, 6736, 1373, 3638, 538, 2067, 2200, 267, 21896, 7283, 835, 540, 519, 1034, 21376, 7239, 538, 5824, 3013, 269, 3718, 3812, 1282, 713, 942, 4749, 9619, 519, 3390, 540, 14227, 13103, 543, 741, 1764, 593, 2043, 543, 2950, 563, 265, 18903, 30527, 281, 589, 15040, 8984, 540, 1454, 540, 519, 4425, 558, 3332, 729, 519, 25465, 540, 9589, 2609, 883, 6382, 10853, 5468, 269, 901, 4480, 5280, 1711, 2502, 6386, 1247, 10223, 519, 1950, 2470, 540, 1480, 2833, 780, 7656, 269, 6206, 22955, 538, 18207, 1014, 9085, 692, 15703, 7986, 5515, 7153, 689, 519, 18207, 1014, 5339, 6429, 1282, 519, 4425, 558, 5736, 269, 3371, 267, 649, 786, 1445, 593, 1614, 8037, 4589, 4171, 1568, 3136, 547, 3337, 4207, 11407, 1384, 265, 28792, 25661, 807, 3057, 4302, 345, 281, 22453, 569, 9833, 607, 835, 540, 519, 6574, 5053, 25082, 4589, 540, 782, 942, 267, 3057, 4302, 345, 6591, 3486, 21239, 998, 1010, 3209, 2290, 25569, 13012, 540, 3752, 3363, 269, 5590, 538, 519, 14070, 4884, 540, 5839, 32121, 267, 519, 1433, 7710, 4798, 540, 10072, 267, 3965, 267, 543, 9059, 17779, 269, 3414, 1010, 960, 267, 3057, 4302, 345, 3964, 5128, 607, 513, 3056, 5639, 538, 5824, 1977, 3332, 563, 265, 631, 9222, 966, 1173, 553, 24510, 6242, 281, 4014, 3131, 12320, 1014, 676, 4332, 267, 966, 1173, 553, 24510, 6242, 6170, 1454, 540, 1010, 4876, 538, 21896, 543, 2968, 7184, 4448, 547, 519, 2197, 781, 2686, 3961, 269, 3571, 9089, 267, 971, 607, 22062, 566, 538, 519, 24130, 543, 589, 2863, 27813, 543, 519, 14644, 23116, 267, 4983, 6214, 267, 4984, 267, 543, 1920, 6384, 1369, 513, 6385, 4657, 1158, 563, 265, 22513, 18372, 966, 4150, 14765, 281, 19612, 585, 1010, 1008, 25607, 2511, 543, 796, 777, 860, 2045, 31886, 540, 6848, 8155, 267, 966, 4150, 14765, 3091, 513, 2189, 5133, 593, 18207, 1014, 2528, 269, 26358, 899, 3776, 15248, 540, 519, 2667, 817, 1231, 10994, 3584, 971, 607, 4630, 22785, 267, 3075, 19338, 267, 543, 4683, 9178, 267, 3246, 513, 6151, 543, 9237, 24575, 540, 2413, 21896, 780, 4353, 269, 12634, 25684, 692, 8601, 519, 8574, 540, 5756, 2094, 519, 4463, 540, 519, 4425, 558, 5108, 267, 519, 1568, 3812, 1282, 713, 1974, 2611, 4143, 2221, 269, 2060, 17105, 1719, 538, 1514, 5126, 5322, 543, 7125, 585, 3152, 6041, 538, 3332, 267, 891, 5931, 4196, 607, 3407, 2959, 540, 5813, 543, 8086, 269, 5015, 267, 789, 1683, 3255, 585, 3444, 14426, 5188, 543, 5385, 267, 4543, 8115, 10616, 1063, 1114, 4525, 543, 2950, 780, 6962, 1384, 7437, 3695, 519, 4425, 558, 5108, 538, 18207, 1014, 3332, 267, 649, 2744, 513, 4514, 7071, 585, 519, 2197, 781, 3638, 2686, 6561, 543, 519, 6043, 540, 922, 1004, 269, 1635, 6313, 1883, 4798, 543, 5515, 689, 713, 1974, 267, 649, 1732, 1174, 519, 11972, 9371, 540, 891, 1568, 543, 741, 4797, 3310, 593, 4207, 3332, 543, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 19285, 961, 1118, 596, 606, 2709, 596, 18085, 20549, 19776, 1272, 538, 519, 4254, 547, 2324, 538, 513, 16048, 1870, 269, 30686, 3150, 1281, 660, 1205, 883, 519, 4128, 646, 4956, 547, 4734, 519, 4254, 267, 855, 646, 1705, 543, 1631, 2306, 513, 2713, 1603, 2835, 543, 607, 513, 30973, 10584, 269, 3973, 596, 666, 1376, 2542, 2186, 548, 2835, 593, 707, 16335, 267, 16979, 267, 610, 269, 1306, 835, 540, 519, 4686, 1004, 945, 16718, 519, 4254, 543, 5030, 547, 2995, 827, 621, 267, 21473, 345, 3150, 814, 513, 2189, 5133, 593, 875, 1870, 568, 2944, 269, 6611, 3786, 568, 16818, 476, 7818, 16960, 280, 1015, 6434, 278, 272, 7824, 3134, 889, 22788, 7895, 619, 523, 269, 7629, 1118, 596, 606, 2709, 596, 18085, 20549, 543, 936, 835, 2929, 824, 2835, 616, 2139, 585, 32312, 2186, 548, 269, 1261, 1522, 557, 8959, 538, 530, 5622, 532, 1200, 607, 513, 2909, 1233, 344, 18295, 7911, 267, 855, 713, 942, 267, 1352, 814, 513, 2699, 1973, 539, 812, 609, 1379, 543, 31449, 547, 4308, 609, 269, 1411, 666, 849, 1224, 519, 2407, 1257, 2228, 1210, 938, 552, 1348, 518, 269, 1284, 782, 1279, 585, 5898, 267, 30493, 267, 22906, 267, 543, 25055, 933, 782, 1279, 547, 581, 10150, 267, 547, 581, 2898, 27329, 267, 547, 1118, 513, 9434, 1764, 563, 303, 3233, 15854, 1408, 568, 1500, 606, 2709, 646, 18085, 20549, 267, 855, 16561, 621, 4667, 512, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 4425, 558, 19087, 538, 18207, 1014, 9085, 257, 607, 851, 540, 834, 11227, 1315, 2622, 9085, 1315, 21896, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3460, 883, 519, 1158, 540, 5665, 1949, 256, 4653, 649, 2811, 2469, 547, 2263, 1945, 1572, 1990, 270, 5308, 3590, 5004, 267, 4481, 3168, 693, 875 ]

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

[ 1126, 779, 2702, 547, 1174, 519, 2495, 540, 891, 27766, 269, 5681, 4210, 2086, 4569, 8274, 10794, 568, 3812, 676, 4804, 8249, 543, 568, 1655, 5129, 676, 1453, 6502, 476, 276, 547, 476, 278, 269, 24812, 3460, 998, 519, 32761, 676, 4946, 543, 18946, 519, 2338, 18202, 593, 519, 18062, 269, 634, 595, 10635, 617, 850, 10374, 12338, 543, 519, 7736, 1652, 31230, 1039, 513, 1377, 540, 8594, 543, 10761, 543, 1832, 519, 5716, 685, 1719, 563, 12179, 1543, 267, 22028, 4882, 267, 610, 824, 1570, 602, 1522, 581, 1336, 593, 713, 3135, 602, 568, 711, 713, 3135, 3959, 3788, 519, 10677, 540, 922, 9757, 8227, 4882, 269, 769, 1100, 1259, 1281, 10871, 295, 739, 3409, 9562, 610, 5539, 585, 971, 3688, 543, 596, 1058, 3343, 3656, 9844, 585, 1022, 946, 540, 971, 2326, 689, 922, 8227, 269, 0, 312, 1077, 328, 631, 2224, 1597, 328, 538, 1010, 1433, 968, 1432, 568, 4000, 779, 1966, 9495, 32625, 602, 519, 3476, 27504, 3251, 538, 1379, 267, 519, 811, 2352, 621, 4991, 547, 4894, 873, 24339, 5597, 269, 1703, 568, 1100, 1732, 1383, 585, 519, 14496, 540, 1010, 8343, 982, 5128, 269, 1261, 814, 1500, 621, 2352, 547, 4894, 1864, 24339, 5597, 585, 811, 982, 1614, 5756, 563, 1432, 2306, 519, 6560, 585, 9111, 2352, 538, 4000, 568, 5631, 519, 9000, 540, 513, 9758, 7029, 585, 621, 689, 519, 2797, 16918, 269, 22640, 814, 1831, 513, 24134, 585, 1651, 3518, 757, 547, 2611, 538, 5604, 998, 741, 30096, 12836, 543, 606, 12180, 6240, 585, 1533, 7001, 676, 741, 17837, 269, 1656, 519, 12402, 543, 4412, 3748, 4724, 13313, 1851, 1346, 538, 2229, 543, 741, 28930, 919, 538, 1870, 543, 519, 2147, 5397, 547, 14827, 1851, 1346, 8589, 547, 891, 1949, 723, 18604, 519, 26117, 540, 1082, 540, 519, 2829, 543, 6608, 538, 4000, 563, 20685, 11340, 807, 568, 711, 606, 9868, 547, 713, 3979, 1650, 269, 3767, 267, 621, 568, 3592, 3368, 513, 2540, 2094, 519, 13675, 540, 519, 2165, 9111, 883, 519, 562, 32393, 1155, 540, 519, 15337, 1014, 1533, 269, 3509, 1131, 3858, 609, 803, 602, 519, 15337, 1014, 1533, 568, 4376, 855, 11180, 563, 17359, 2376, 1934 ]

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

[ 29640, 11571, 454, 268, 27946, 11571, 454, 309, 2678, 753, 1058, 581, 13047, 827, 741, 4108, 3028, 547, 2057, 3765, 10972, 1725, 2670, 543, 547, 3432, 909, 519, 6268, 1184, 676, 32560, 1524, 519, 2009, 4093, 269, 9861, 7157, 11117, 16881, 17034, 519, 1655, 2126, 538, 942, 543, 6971, 519, 2621, 540, 519, 3262, 540, 2860, 543, 922, 556, 15041, 1120, 775, 563, 291, 1047, 1162, 6970, 4310, 676, 1306, 17937, 22452, 2904, 6733, 513, 20769, 6145, 5871, 29520, 525, 454, 763, 6211, 6127, 540, 20702, 5829, 3676, 616, 1950, 1317, 789, 4125, 513, 1617, 626, 788, 1184, 540, 4205, 1063, 11976, 267, 4761, 3210, 267, 543, 32739, 547, 5312, 6547, 547, 6757, 2609, 269, 2334, 568, 1946, 1034, 7189, 1419, 3765, 1348, 519, 2589, 543, 3765, 10972, 1725, 846, 891, 10108, 563, 2005, 3085, 1405, 948, 602, 519, 31067, 20702, 11103, 2800, 519, 8219, 1152, 538, 519, 1279, 2196, 267, 543, 676, 519, 942, 2589, 2408, 267, 519, 2068, 2356, 10301, 4359, 5933, 269, 769, 1840, 267, 4191, 540, 20702, 5829, 3676, 666, 18613, 1346, 540, 824, 1447, 5906, 7929, 2175, 267, 1818, 741, 2953, 4879, 1256, 811, 13542, 727, 269, 898, 568, 1946, 5449, 13108, 10986, 1058, 2628, 2673, 3007, 547, 1022, 2242, 538, 741, 1072, 543, 1118, 606, 13393, 609, 741, 4387, 950, 7680, 912, 268, 26032, 540, 7362, 454, 268, 765, 22689, 610, 11876, 1513, 8864, 454, 268, 10770, 11522, 454, 268, 1973, 538, 519, 838, 583, 636, 454, 268, 1928, 610, 9395, 2287, 538, 519, 9221, 454, 268, 7411, 24948, 454, 268, 11926, 540, 519, 8405, 610, 3068, 454, 268, 2530, 540, 14031, 454, 268, 32584, 2597, 2530, 454, 268, 9854, 610, 17350, 454, 268, 8630, 5523, 11263, 610, 19462, 454, 268, 14159, 1928, 543, 11926, 454, 2414, 4309, 606, 3169, 5868, 543, 7850, 2126, 267, 18884, 1058, 2307, 585, 513, 2034, 610, 3791, 4387, 781, 6644, 3544, 519, 22622, 269, 9861, 12001, 827, 519, 4108, 3028, 849, 2337, 513, 2953, 6268, 269, 631, 1549, 532, 519, 8458, 540, 20702, 4598, 1282, 3028, 1223, 1291, 547, 12423, 22480, 20702, 3676, 899, 912, 268, 5418, 1116, 5394, 2287, 454, 268, 17422, 27470, 454, 268, 5761, 12162, 2737, 543, 9634, 454, 268, 5312, 32583, 454, 268, 17031, 17696, 937, 12118, 454, 268, 5418, 1116, 29693, 13196, 454, 268, 5418, 1116, 2498, 4288, 454, 10214, 1498, 1875, 2275, 22083, 748, 3676, 4465, 1405, 20618, 513, 25982, 585, 13180, 267, 789, 1058, 581, 5781, 4767, 267, 607, 789, 4043, 547, 1020, 883, 2860, 269, 30446, 2473, 17530, 543, 17422, 1599, 4255, 949, 3713, 873, 4742, 23872, 2038, 593, 267, 543, 513, 2860, 5868, 786, 1118, 18884, 14718, 547, 3758, 6811, 563, 301, 8283, 27851, 13958, 2216, 2060, 1306, 17937, 7304, 601, 730, 9435, 2904, 25547, 633, 3281, 18730, 16270, 674, 4979, 513, 26225, 28787, 454, 6624, 18884, 540, 519, 772, 2529, 269, 13108, 945, 24009, 10279, 1063, 476, 3707, 271, 543, 476, 2735, 271, 941, 6534, 547, 20702, 1282, 3028, 7064, 547, 519, 7777, 781, 3573, 946, 538, 4108, 6928, 4070, 693, 602, 942, 269, 8409, 8995, 609, 2860, 689, 20702, 4598, 1282, 10279, 616, 13886, 547, 13075, 13180, 543, 949, 3758, 6811, 547, 4309, 2640, 689, 519, 20702, 3972, 7482, 543, 519, 22622, 563, 19675, 596, 6430, 547, 1491, 519, 2556, 3656, 3268, 543, 2253, 519, 1184, 585, 519, 964, 5703, 967, 655, 333, 2305, 267, 649, 666, 4217, 596, 538, 32296, 3656, 4966, 21751, 538, 25937, 20702, 6811, 269, 0, 272, 269, 14970, 14675, 23910, 454, 299, 633, 14675, 23910, 454, 288, 2661, 3280, 11653, 568, 3743, 585, 519, 2930, 3344, 540, 3280, 1282, 2661, 12644, 267, 971, 607, 30145, 267, 14364, 24299, 267, 610, 9746, 2621, 563, 288, 561, 3578, 1512, 24870, 538, 2679, 267, 28472, 267, 543, 19620, 5569, 539, 7574, 7405, 267, 3226, 1368, 527, 1513, 267, 3423, 1231, 267, 3423, 553, 267, 1591, 657, 267, 543, 536, 13293, 563, 2304, 608, 32558, 1807, 267, 849, 1634, 607, 513, 11641, 1852, 27637, 267, 568, 513, 3318, 945, 568, 8036, 547, 2697, 267, 2061, 267, 543, 1852, 10860, 538, 5321, 267, 4213, 267, 543, 824, 5054, 563, 275, 269, 3220, 650, 4964, 7358, 1807, 454, 7804, 650, 4964, 7358, 1807, 454, 288, 16590, 2046, 11346, 5036, 909, 543, 13333, 17656, 6191, 547, 16590, 267, 16004, 267, 556, 600, 267, 1984, 267, 610, 27669, 1074, 4496, 610, 5068, 960, 4773, 563, 276, 269, 623, 10730, 20658, 518, 454, 288, 14440, 7113, 518, 568, 513, 9952, 27637, 945, 568, 3743, 585, 14577, 519, 8082, 540, 519, 12673, 3330, 513, 14440, 538, 1931, 547, 2327, 602, 519, 14440, 7472, 519, 2953, 12334, 543, 814, 513, 7059, 3280, 2066, 782, 540, 922, 10569, 563, 2304, 3167, 1014, 24870, 538, 519, 10380, 267, 7816, 267, 543, 5826, 540, 5122, 1949, 563, 278, 269, 23866, 23910, 454, 2304, 8301, 11653, 1568, 609, 3280, 538, 1585, 19206, 563, 288, 3338, 322, 1653, 6272, 267, 5932, 267, 543, 15387, 9205, 5624, 971, 607, 10651, 267, 1876, 985, 267, 543, 11614, 563, 280, 269, 16847, 19045, 4518, 518, 454, 9515, 564, 19045, 4518, 518, 454, 288, 6656, 4496, 11832, 24870, 538, 2324, 609, 6094, 4496, 9212, 547, 5958, 622, 267, 3888, 267, 543, 2226, 1585, 2472, 543, 1949, 563, 288, 7143, 1457, 24870, 538, 11836, 4496, 2694, 1927, 1210, 1585, 13841, 2553, 563, 1556, 269, 8490, 28018, 528, 454, 288, 2679, 8524, 528, 4249, 606, 1271, 1909, 538, 4180, 519, 3106, 267, 8699, 267, 543, 10220, 540, 5656, 543, 3889, 609, 2679, 9479, 543, 6042, 563, 1321, 269, 5295, 23910, 454, 288, 1379, 11653, 568, 3743, 585, 8888, 267, 4509, 267, 543, 5665, 1585, 2010, 540, 1379, 1949, 563, 288, 15524, 655, 6033, 568, 513, 9952, 13492, 2006, 945, 24870, 538, 1818, 267, 28472, 267, 543, 4509, 10887, 543, 824, 31321, 563, 288, 726, 3784, 24870, 538, 519, 10380, 267, 7816, 267, 543, 5826, 540, 21818, 1949, 269, 0, 2108, 17829, 26256, 714, 656, 609, 16495, 543, 26069, 723, 1767, 602, 5168, 543, 19969, 616, 519, 5207, 21644, 269, 12484, 826, 602, 568, 18163, 568, 2352, 540, 1373, 6956, 269, 1809, 8726, 621, 568, 267, 621, 568, 1759, 593, 5168, 1848, 630, 300, 1695, 629, 9618, 1092, 267, 966, 3570, 3474, 9366, 476, 20385, 269, 5655, 268, 6246, 1916, 300, 1695, 629, 9618, 1092, 966, 3570, 3474, 9366, 476, 20385, 269, 5655, 268, 6246, 31234, 519, 11506, 4567, 540, 5168, 543, 19969, 607, 14063, 21644, 269, 8409, 945, 4865, 513, 2620, 1620, 540, 16495, 543, 5837, 3741, 5431, 891, 7907, 607, 13654, 547, 5683, 2932, 563, 763, 18627, 11760, 602, 26762, 519, 2470, 540, 18163, 16495, 666, 581, 4101, 269, 1717, 267, 789, 14751, 602, 8726, 13054, 3020, 543, 11972, 16495, 568, 16119, 12082, 538, 5168, 3294, 269, 18266, 5713, 607, 519, 5127, 13702, 2390, 799, 16495, 6763, 267, 5935, 1915, 543, 2932, 563, 268, 11612, 4554, 12484, 1132, 281, 634, 18627, 17551, 5168, 543, 19969, 607, 519, 3138, 1111, 5006, 21644, 267, 6444, 676, 1346, 1134, 14092, 638, 20557, 609, 16495, 543, 5837, 3741, 563, 268, 661, 4156, 12484, 826, 281, 634, 1523, 540, 18163, 16495, 267, 1498, 1950, 267, 568, 14751, 539, 547, 581, 16135, 538, 5168, 267, 8108, 519, 9759, 540, 5837, 1915, 563, 268, 7690, 540, 10886, 281, 18266, 568, 4857, 607, 519, 5748, 2390, 799, 11972, 16495, 568, 3710, 267, 12018, 5683, 2623, 563, 4322, 18627, 896, 1467, 519, 11358, 1909, 540, 5168, 543, 19969, 538, 5935, 5683, 2932, 543, 5837, 1915, 269, 1635, 9301, 5168, 607, 519, 4493, 540, 4075, 6681, 3527, 267, 649, 616, 6273, 547, 11349, 19969, 538, 938, 4205, 609, 1866, 563, 763, 10752, 540, 891, 18627, 5447, 609, 519, 2418, 15469, 676, 1585, 3909, 5389, 602, 11168, 519, 2956, 540, 5168, 6888, 543, 5683, 2623, 269, 1635, 8508, 891, 3838, 21644, 267, 649, 666, 6536, 1620, 543, 10103, 1851, 3309, 2950, 563, 2026, 2043, 267, 649, 666, 4019, 713, 7326, 676, 26724, 5168, 543, 19969, 538, 938, 1913, 267, 3527, 267, 543, 3664, 269, 1635, 3257, 865, 267, 649, 3565, 547, 519, 14713, 540, 16495, 543, 519, 13120, 540, 513, 811, 1175, 543, 5683, 2486, 269, 1452, 18627, 7618, 721, 602, 5168, 711, 1152, 10274, 938, 3527, 855, 849, 5546, 938, 1915, 267, 8108, 519, 22294, 540, 9434, 16495, 269, 0, 19522, 585, 513, 5564, 8811, 4040, 645, 25897, 3060, 454, 296, 4076, 2854, 827, 23893, 645, 25897, 32534, 3590, 7089, 538, 1079, 13096, 8809, 619, 5063, 1317, 594, 4941, 547, 1921, 1079, 3611, 8809, 619, 998, 5769, 609, 519, 1482, 6789, 7089, 269, 1717, 267, 594, 723, 513, 1007, 4305, 585, 891, 2395, 269, 594, 723, 547, 1039, 811, 982, 835, 4959, 303, 547, 519, 3611, 8809, 518, 269, 4475, 267, 594, 786, 723, 547, 19022, 645, 25897, 5265, 585, 1896, 4959, 11679, 267, 799, 568, 606, 4277, 543, 5863, 4305, 269, 898, 779, 849, 606, 4359, 23332, 4305, 1317, 513, 12122, 12161, 666, 9505, 1524, 5769, 547, 5561, 269, 594, 2731, 2648, 13033, 563, 347, 21010, 532, 547, 5565, 610, 811, 4959, 11679, 2008, 20058, 267, 621, 779, 1271, 547, 917, 875, 5769, 31425, 2070, 938, 5121, 269, 1703, 616, 6266, 540, 7270, 593, 519, 2121, 799, 616, 3730, 547, 917, 875, 824, 31425, 666, 6494, 21168, 547, 938, 5121, 269, 1703, 616, 1256, 31425, 1141, 649, 666, 1569, 11884, 609, 1224, 26209, 1569, 547, 2196, 12981, 267, 799, 616, 849, 3730, 547, 1294, 875, 5769, 11507, 1451, 938, 5121, 269, 1280, 3236, 267, 972, 616, 6266, 540, 1863, 1569, 31425, 538, 519, 8940, 269, 709, 974, 1613, 338, 3820, 3896, 1141, 649, 666, 3442, 513, 18760, 267, 1569, 609, 519, 20052, 6339, 3498, 543, 6368, 2196, 12981, 563, 31340, 719, 324, 14358, 5741, 2008, 5629, 649, 723, 15600, 547, 513, 18760, 267, 649, 666, 2196, 12981, 269, 898, 779, 1271, 547, 917, 1018, 12981, 649, 723, 547, 14892, 607, 1134, 607, 649, 723, 547, 1174, 519, 3977, 269, 634, 1397, 28258, 536, 326, 335, 4971, 568, 519, 1655, 835, 547, 917, 875, 824, 31425, 2070, 938, 5121, 269, 1280, 3236, 267, 649, 666, 2196, 1397, 28258, 536, 326, 335, 1341, 3060, 7379, 2232, 547, 917, 875, 1082, 10092, 972, 616, 689, 835, 18760, 547, 938, 3060, 269, 1284, 3580, 1294, 782, 10092, 543, 519, 1655, 2619, 267, 799, 568, 519, 3742, 2619, 269, 901, 4971, 568, 3730, 547, 1294, 519, 645, 25897, 23289, 6538, 563, 21270, 25897, 5440, 1108, 18482, 2008, 763, 645, 25897, 23289, 6538, 610, 645, 25897, 4464, 532, 6538, 568, 513, 3349, 1141, 782, 10092, 616, 4558, 269, 901, 6538, 568, 8242, 676, 519, 645, 25897, 1184, 543, 649, 666, 3406, 875, 31425, 666, 6494, 21168, 547, 1169, 3060, 538, 713, 6538, 607, 1134, 607, 649, 3580, 917, 10305, 971, 607, 11973, 267, 2199, 13283, 267, 2597, 267, 3092, 269, 898, 779, 1271, 547, 5031, 645, 25897, 23289, 6538, 568, 1114, 547, 519, 23332, 3349, 1317, 519, 23332, 3349, 1152, 814, 519, 1655, 2619, 3079, 540, 782, 2619, 607, 519, 645, 25897, 23289, 6538, 1281, 563, 2467, 568, 606, 4277, 3896, 594, 6557, 1031, 547, 9683, 269, 634, 681, 2946, 572, 14513, 7379, 16402, 335, 2946, 839, 8416, 18509, 1588, 10418, 814, 6266, 540, 2200, 827, 7379, 341, 275, 9607, 267, 7379, 341, 277, 9607, 543, 14628, 1062, 2338, 269, 1280, 3236, 267, 649, 666, 1294, 3362, 689, 519, 8940, 269, 686, 701, 14492, 3896, 875, 1114, 31425, 689, 5769, 1294, 938, 3060, 269, 4475, 267, 621, 779, 2653, 547, 1294, 689, 713, 3896, 952, 938, 3060, 568, 6994, 2213, 998, 1896, 4959, 11679, 563, 7661, 267, 952, 596, 960, 607, 513, 3060, 11653, 267, 596, 3580, 723, 547, 1174, 6422, 23332, 10873, 971, 607, 645, 25897, 5265, 269, 1403, 596, 616, 2469, 547, 14441, 707, 1378, 11507, 547, 5769, 267, 596, 3580, 723, 547, 917, 875, 519, 645, 25897, 7014, 1568, 269, 1403, 596, 616, 711, 2386, 1018, 596, 616, 3257, 267, 519, 1655, 4781, 568, 547, 3346, 609, 3318, 2533, 563, 16032, 14621, 1250, 2828, 269, 5901, 1565, 256, 29100, 513, 1899, 609, 519, 1101, 3364, 596, 616, 3206, 256, 0, 763, 1888, 540, 4901, 7710, 519, 4241, 2078, 1063, 7920, 737, 26147, 2866, 543, 2566, 8323, 998, 519, 5305, 540, 1439, 6973, 1231, 269, 10127, 622, 267, 513, 19831, 1148, 1106, 23608, 689, 3567, 267, 568, 1634, 585, 922, 9308, 14053, 2470, 543, 11826, 2866, 7886, 269, 901, 12651, 519, 2243, 540, 875 ]

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

[ 547, 811, 2143, 1344, 865, 596, 666, 4677, 609, 6015, 543, 723, 1187, 3257, 621, 269, 5192, 4712, 547, 2972, 930, 540, 519, 1655, 2389, 8463, 5613, 267, 5388, 267, 543, 11922, 596, 4076, 2479, 13881, 543, 2070, 930, 4190, 5810, 1932, 563, 2252, 596, 4465, 1406, 3548, 513, 7693, 267, 1810, 1406, 1332, 621, 538, 707, 10448, 4677, 269, 10312, 593, 519, 5613, 267, 5388, 610, 11922, 602, 707, 1920, 21593, 519, 1034, 269, 5269, 2386, 707, 1283, 5079, 1118, 2631, 585, 707, 1858, 269, 7612, 856, 707, 12202, 7997, 543, 6059, 1101, 543, 2063, 15470, 7389, 269, 1403, 2009, 267, 2911, 547, 3811, 22254, 538, 707, 1858, 547, 1265, 856, 799, 7031, 1332, 1134, 543, 799, 1810, 1406, 269, 1684, 596, 1616, 547, 1544, 585, 4859, 5388, 267, 610, 1152, 2614, 547, 3548, 4195, 286, 898, 779, 4440, 1655, 547, 1376, 707, 4677, 5631, 609, 4195, 4189, 538, 2247, 267, 855, 930, 5388, 616, 5393, 2653, 547, 4558, 563, 7197, 5613, 543, 5388, 991, 2407, 3141, 267, 609, 513, 5934, 540, 2947, 3108, 540, 1463, 7943, 829, 1554, 585, 2927, 1746, 269, 13983, 839, 267, 11922, 543, 3597, 19787, 786, 1332, 538, 9864, 12094, 269, 8828, 10651, 949, 4324, 689, 3735, 12784, 12094, 267, 6466, 7187, 10651, 2693, 991, 782, 519, 3141, 789, 666, 1205, 269, 6056, 827, 875, 596, 786, 1569, 519, 4677, 585, 16116, 267, 14450, 543, 12391, 585, 707, 2371, 269, 4934, 540, 8289, 1419, 11224, 856, 540, 2247, 1107, 543, 513, 20495, 4677, 269, 3680, 1164, 2842, 2127, 543, 15470, 22836, 630, 869, 2127, 1141, 15470, 568, 2693, 547, 7017, 1040, 13772, 856, 585, 7320, 267, 4620, 3441, 543, 1453, 779, 1404, 2127, 563, 23945, 2659, 20233, 719, 454, 5629, 596, 917, 1141, 596, 1616, 707, 4677, 267, 6430, 593, 519, 1826, 543, 2450, 540, 4677, 5127, 4433, 1040, 14780, 2213, 15135, 616, 10694, 543, 949, 1118, 621, 4443, 547, 960, 538, 707, 4677, 267, 855, 789, 849, 3819, 856, 811, 3533, 269, 769, 1360, 3819, 2127, 267, 3141, 5287, 15135, 666, 581, 1031, 547, 5531, 2139, 7509, 269, 6056, 827, 9544, 707, 4677, 538, 7161, 610, 15135, 540, 2371, 3079, 540, 2582, 9343, 269, 645, 2644, 1058, 581, 476, 274, 547, 476, 275, 3952, 2066, 1107, 7522, 2614, 602, 596, 666, 3914, 519, 4099, 689, 2901, 2427, 269, 645, 2644, 1058, 581, 10199, 476, 1015, 3952, 1279, 610, 1447, 267, 865, 596, 2461, 711, 15673, 539, 547, 1900, 883, 519, 5127, 543, 11741, 519, 2666, 269, 10738, 519, 4677, 15135, 267, 1747, 2371, 538, 9343, 610, 513, 7470, 4806, 269, 634, 3804, 568, 7413, 3802, 1811, 543, 11694, 3395, 2230, 269, 1411, 1152, 1039, 13226, 543, 3037, 22853, 547, 519, 9544, 1858, 267, 799, 17990, 942, 543, 2724, 269, 3399, 1507, 267, 543, 1118, 2386, 547, 2285, 1142, 2030, 2614, 4055, 547, 1332, 269, 634, 5452, 543, 1098, 17852, 616, 6263, 267, 855, 2407, 6738, 2371, 666, 1205, 5458, 269, 3683, 322, 992, 4765, 2371, 723, 7411, 14762, 269, 589, 1507, 267, 1134, 2389, 2105, 4677, 666, 3132, 607, 1454, 610, 811, 982, 513, 1804, 267, 14605, 22157, 4677, 269, 25351, 9771, 610, 4009, 15135, 616, 519, 1034, 1455, 267, 855, 596, 2461, 1152, 3908, 676, 707, 9345, 543, 2679, 1983, 563, 2252, 596, 1616, 547, 2119, 547, 1332, 19794, 267, 596, 666, 25837, 811, 7031, 883, 1447, 2230, 269, 589, 1726, 961, 529, 11721, 775, 610, 6382, 666, 19794, 1332, 14274, 267, 10365, 267, 17112, 267, 31480, 267, 543, 12212, 824, 7031, 269, 1548, 952, 596, 723, 513, 13452, 609, 3908, 3395, 2230, 286, 6333, 1332, 11435, 610, 11149, 547, 1376, 707, 4677, 563, 763, 1318, 2645, 1118, 2324, 538, 707, 4677, 513, 12257, 3079, 540, 513, 25287, 269, 1411, 1810, 1406, 946, 513, 7423, 17180, 547, 14299, 909, 6151, 17436, 267, 543, 596, 12582, 1406, 946, 20585, 610, 1166, 574, 1910, 2645, 547, 960, 538, 707, 4677, 269, 9978, 12202, 3937, 2882, 912, 268, 12567, 554, 4141, 454, 268, 2480, 28984, 554, 4141, 454, 268, 667, 7398, 986, 651, 454, 268, 23516, 986, 651, 454, 268, 12567, 1744, 334, 767, 610, 667, 6023, 1744, 334, 767, 454, 268, 7435, 2645, 454, 268, 4826, 532, 666, 454, 268, 12567, 17309, 454, 6524, 596, 1376, 2679, 707, 4677, 15135, 610, 9544, 267, 596, 991, 547, 917, 1945, 827, 707, 4677, 3037, 269, 1772, 707, 3037, 15755, 267, 22279, 610, 9243, 9063, 286, 1684, 596, 723, 5070, 267, 10036, 267, 521, 2830, 267, 7725, 267, 610, 513, 3575, 540, 782, 2185, 286, 1772, 972, 513, 1981, 540, 3037, 12526, 689, 7404, 3889, 267, 4155, 1811, 610, 824, 2959, 286, 6496, 621, 723, 513, 1434, 2179, 540, 2596, 5567, 286, 2368, 540, 891, 4162, 666, 581, 5462, 1175, 689, 3168, 693, 519, 3037, 269, 1280, 3236, 267, 1291, 12526, 689, 2025, 2777, 5862, 610, 7404, 4155, 1811, 609, 5230, 6808, 568, 513, 1966, 538, 930, 2127, 269, 4107, 4677, 7031, 4782, 3037, 609, 513, 9063, 1472, 476, 278, 630, 928, 23018, 1070, 4352, 930, 899, 2175, 602, 616, 5594, 15755, 630, 13607, 10633, 267, 585, 3236, 264, 610, 5594, 22279, 269, 7195, 2331, 8770, 2157, 616, 849, 1271, 267, 607, 568, 519, 4527, 540, 5214, 2339, 563, 2252, 596, 2461, 4358, 609, 7091, 267, 596, 3580, 2901, 991, 547, 2759, 621, 909, 538, 25098, 543, 1065, 17123, 621, 267, 11489, 621, 538, 267, 610, 2482, 1524, 6632, 11356, 610, 21312, 547, 1159, 1278, 621, 543, 1628, 513, 5127, 593, 1283, 269, 27759, 538, 2887, 568, 1655, 267, 855, 1810, 1406, 1577, 602, 3247, 596, 689, 4358, 538, 5614, 269, 4107, 2371, 4782, 513, 2620, 267, 1134, 1673, 11712, 267, 15417, 3037, 3638, 538, 5214, 2339, 269, 7233, 5072, 991, 1434, 4677, 3037, 547, 3132, 1434, 5388, 543, 4829, 269, 4495, 596, 1376, 513, 4677, 267, 596, 3580, 2744, 513, 1007, 7071, 585, 2635, 3037, 607, 621, 10607, 1032, 1310, 1032, 269, 13245, 267, 7524, 3037, 815, 2635, 267, 7524, 2371, 609, 3710, 538, 2068, 543, 11641, 4187, 543, 811, 6484, 563, 9558, 17852, 610, 25994, 454, 2252, 596, 1616, 547, 1332, 1808, 8677, 267, 2523, 25752, 5979, 558, 8677, 267, 596, 3580, 4440, 991, 547, 1332, 707, 1378, 1098, 17852, 689, 6079, 269, 18786, 707, 1378, 1098, 17852, 568, 513, 1390, 1259, 547, 4688, 2724, 267, 1932, 269, 1403, 596, 2461, 711, 4712, 547, 10994, 3395, 1098, 17852, 585, 707, 4677, 267, 1934, 616, 930, 4388, 547, 948, 596, 5544, 519, 1655, 2371, 693, 519, 21543, 269, 6733, 585, 17428, 602, 616, 10199, 3160, 538, 2450, 547, 519, 2030, 269, 8262, 2371, 538, 6263, 17428, 616, 811, 2693, 547, 581, 3597, 3808, 630, 5976, 5072, 8126, 1194, 543, 3395, 538, 10580, 3330, 519, 1494, 264, 543, 7985, 689, 13003, 8710, 950, 12630, 538, 519, 4677, 269, 13772, 585, 4191, 540, 2566, 971, 607, 5521, 3441, 610, 5835, 3762, 269, 4107, 6079, 21168, 543, 13003, 11149, 2097, 609, 2596, 9544, 5528, 269, 4495, 596, 4076, 2944, 519, 2666, 960, 630, 32173, 958, 1070, 596, 1175, 991, 547, 7914, 538, 543, 2030, 269, 3807, 2285, 621, 513, 2119, 543, 596, 666, 1451, 519, 1964, 607, 596, 979, 563, 305, 2737, 540, 14853, 585, 9544, 538, 707, 4677, 912, 268, 7233, 5452, 10199, 476, 274, 2053, 607, 2620, 607, 519, 8006, 540, 519, 6079, 267, 8259, 6382, 9859, 593, 519, 10189, 269, 2368, 5452, 2154, 1769, 585, 23286, 563, 268, 1280, 1098, 17852, 1107, 1034, 1098, 17852, 616, 12630, 693, 519, 1482, 3178, 789, 941, 3395, 538, 519, 1494, 269, 634, 9868, 568, 14274, 267, 799, 666, 581, 12630, 4514, 610, 512, 27221, 538, 563, 268, 27016, 2394, 8594, 540, 15470, 568, 2250, 547, 2030, 3002, 15962, 2371, 971, 607, 14274, 267, 18717, 267, 31480, 267, 21453, 571, 267, 3092, 563, 268, 8479, 2371, 616, 4443, 547, 3441, 982, 4587, 2371, 267, 865, 789, 949, 991, 4027, 610, 2182, 2287, 1055, 950, 789, 616, 12630, 3544, 563, 268, 1703, 779, 606, 2025, 6031, 602, 3081, 267, 968, 763, 1655, 13226, 568, 519, 32529, 779, 14692, 1848, 1403, 596, 2461, 711, 5423, 547, 1118, 942, 538, 707, 8430, 547, 4043, 547, 707, 2371, 267, 596, 949, 581, 1732, 1055, 18644, 519, 16027, 779, 2344, 267, 610, 23578, 609, 5393, 1970, 5826, 3688, 899, 28667, 610, 11922, 269, 13689, 593, 519, 2450, 540, 707, 2030, 902, 267, 942, 4170, 949, 2039, 689, 513, 1906, 3764, 829, 1554, 547, 513, 2407, 942, 2816, 563, 301, 629, 18047, 950, 789, 2461, 1507, 609, 513, 1085, 28984, 554, 4141, 1107, 610, 946, 873, 607, 2666, 16225, 267, 1426, 610, 4915, 269, 589, 4341, 540, 14853, 585, 14450, 568, 602, 2371, 991, 1472, 835, 10759, 540, 1216, 829, 3018, 1282, 519, 3395, 4005, 269, 1403, 22856, 3111, 267, 596, 3580, 991, 547, 1216, 707, 4677, 269, 3683, 14450, 568, 607, 3983, 607, 896, 14450, 267, 865, 2141, 2638, 519, 3037, 1354, 7432, 593, 513, 7148, 610, 18644, 519, 4764, 29054, 269, 14606, 602, 568, 1932, 6632, 666, 2014, 5452, 543, 5072, 547, 4232, 269, 645, 13903, 616, 811, 13631, 547, 2371, 602, 616, 14129, 610, 538, 930, 1259, 28119, 269, 1403, 596, 723, 2635, 267, 1134, 5991, 712, 1639, 2371, 267, 707, 11641, 2042, 1058, 581, 8766, 269, 1403, 596, 723, 513, 1966, 267, 8458, 616, 972, 779, 606, 5214, 3070, 563, 2026, 7031, 9921, 267, 1118, 2386, 547, 7556, 16425, 585, 1655, 2298, 269, 23516, 344, 16719, 899, 23858, 616, 3335, 968, 12827, 543, 2097, 1586, 5608, 799, 1797, 596, 666, 17157, 1055, 519, 3762, 543, 789, 786, 556, 3766, 992, 585, 1776, 7556, 269, 17292, 10365, 543, 17112, 1169, 1079, 547, 1614, 2395, 269, 28610, 6653, 8970, 950, 524, 10849, 616, 1134, 4904, 856, 543, 16536, 568, 4158, 269, 28610, 14274, 543, 18717, 3039, 267, 610, 1450, 873, 547, 18009, 523, 547, 2407, 29284, 543, 8137, 269, 4469, 2948, 568, 3335, 693, 513, 8445, 950, 519, 6640, 632, 342, 814, 23498, 267, 855, 1354, 519, 12784, 3002, 814, 12306, 538, 269, 12726, 543, 6430, 1018, 16919, 1655, 547, 596, 563, 3080, 540, 519, 4128, 585, 12202, 568, 1317, 952, 1919, 1810, 1406, 960, 856, 1318, 519, 1101, 942, 267, 972, 779, 2141, 1985, 1032, 269, 1703, 616, 19421, 540, 1114, 2081, 547, 798, 1175, 827, 3388, 267, 855, 596, 4465, 1406, 917, 1018, 1568, 1655, 585, 596, 543, 707, 4677, 2394, 596, 2119, 269, 1403, 513, 2030, 11305, 1886, 1281, 14605, 519, 1101, 942, 596, 2030, 621, 267, 2119, 1586, 563, 13425, 856, 4179, 2517, 680, 13183, 731, 1465, 269, 1513, 30994, 6767, 10993, 270, 15771, 313, 300, 16158, 270, 585, 1344, 593, 6237, 3395, 2175, 563, 15371, 596, 723, 476, 2004, 610, 476, 4335, 4009, 3952, 540, 1858, 602, 596, 1131, 899, 547, 2030, 609, 5810, 267, 519, 1184, 1058, 581, 1187, 543, 11791, 269, 589, 8768, 4677, 24492, 338, 609, 3255, 585, 519, 3860, 6891, 547, 2097, 9800, 269, 2659, 4677, 568, 707, 17198, 1317, 621, 5963, 568, 513, 1259, 540, 15603, 519, 7376, 856, 269, 898, 17212, 1407, 1250, 2566, 543, 621, 779, 513, 1390, 15904, 1932, 256, 1924, 952, 596, 2461, 4712, 547, 2490, 602, 11953, 5544, 538, 707, 13452, 883, 519, 1985, 3933, 320, 23436, 267, 1175, 1246, 891, 3268, 563, 29991, 2659, 27484, 454, 2467, 616, 1082, 2081, 547, 1935, 707, 17198, 267, 543, 621, 779, 2731, 3833, 909, 547, 596, 269, 1703, 568, 1100, 1318, 610, 4636, 1934, 269, 1411, 666, 2212, 936, 547, 519, 2199, 5399, 610, 21869, 648, 543, 7485, 909, 513, 11381, 538, 519, 12202, 513, 529, 548, 269, 32449, 936, 5961, 540, 2296, 10651, 267, 741, 5929, 5898, 568, 2141, 513, 10950, 8289, 267, 610, 5490, 883, 9909, 540, 10427, 5545, 10651, 602, 8300, 24789, 269, 2107, 1118, 909, 707, 1378, 12202, 6249, 563, 23945, 2659, 20233, 719, 454, 5629, 596, 723, 606, 2856, 540, 799, 4287, 596, 1616, 547, 1491, 707, 20100, 267, 10544, 513, 4062, 540, 3113, 1957, 543, 930, 11954, 22796, 543, 4786, 621, 856, 269, 1411, 1082, 1616, 547, 2119, 513, 13561, 1907, 593, 519, 14568, 23467, 543, 25052, 3896, 1572, 519, 968, 23945, 8584, 8566, 31678, 1848, 1411, 666, 17250, 856, 707, 1753, 543, 824, 3889, 593, 3135, 543, 1287, 2721, 519, 11768, 540, 707, 8768, 4677, 1472, 873, 269, 2142, 2386, 547, 7747, 952, 519, 3135, 596, 1616, 547, 946, 4991, 2407, 610, 9864, 3141, 610, 6140, 12094, 267, 607, 602, 786, 20427 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 4462, 24286, 519, 15783, 540, 30892, 22769, 281, 1215, 28597, 17540, 1564, 5071, 16743, 454, 1103, 2221, 779, 3059, 2085, 267, 3593, 8818, 630, 21397, 264, 1374, 4249, 513, 11358, 1909, 538, 8159, 519, 1967, 610, 5821, 540, 513, 1587, 610, 3028, 269, 589, 1134, 27059, 30892, 666, 3986, 32636, 267, 2333, 3593, 9547, 267, 543, 6038, 5397, 1870, 2208, 269, 1717, 267, 519, 4028, 13120, 540, 2029, 814, 849, 2016, 4473, 547, 1007, 2591, 267, 3226, 538, 519, 1106, 540, 9431, 10220, 563, 21397, 6042, 723, 1831, 2629, 585, 4180, 602, 2472, 543, 2533, 5447, 609, 1312, 3656, 4170, 543, 3593, 6788, 269, 2755, 930, 949, 2070, 6042, 607, 513, 12042, 8896, 547, 1374, 5647, 267, 789, 2965, 1683, 513, 4396, 5748, 585, 6117, 3860, 3435, 269, 769, 713, 2376, 267, 649, 786, 2263, 875, 10220, 10173, 1374, 5647, 543, 796, 331, 4169, 519, 2407, 1761, 540, 30892, 563, 272, 269, 31514, 29456, 912, 3080, 540, 519, 1883, 2934, 540, 30892, 6042, 568, 741, 1445, 593, 10333, 269, 22769, 23626, 602, 2472, 543, 2533, 1590, 581, 26729, 676, 2043, 609, 9124, 269, 2755, 713, 949, 20818, 1978, 10148, 593, 1374, 267, 621, 849, 6799, 606, 4316, 547, 1589, 3544, 519, 4216, 543, 1711, 8537, 2833, 585, 782, 3755, 563, 17637, 619, 616, 1631, 13934, 547, 1711, 17103, 602, 13918, 1114, 2010, 540, 23043, 267, 971, 607, 3308, 267, 17391, 267, 543, 5179, 9124, 269, 901, 11479, 5647, 676, 11319, 9858, 547, 1265, 3860, 543, 16022, 2081, 547, 7753, 891, 2591, 1510, 18731, 519, 15312, 610, 10342, 540, 519, 30892, 563, 273, 269, 26875, 1944, 14871, 21041, 543, 8232, 912, 4415, 2810, 4145, 827, 1239, 7834, 543, 14590, 267, 30892, 6042, 723, 849, 5116, 513, 2178, 8561, 593, 7863, 3593, 1344, 269, 5071, 619, 616, 1631, 2838, 547, 6451, 7834, 7266, 878, 2934, 267, 971, 607, 1239, 14238, 267, 30704, 10479, 5468, 267, 543, 12001, 1239, 7829, 2853, 563, 4407, 4180, 10220, 1522, 4125, 3606, 1646, 3646, 267, 621, 849, 12153, 5647, 538, 30892, 1374, 269, 5071, 619, 1590, 1265, 2081, 547, 30082, 5968, 7834, 543, 3354, 3800, 1510, 11566, 610, 14845, 3755, 269, 901, 666, 581, 12913, 998, 13181, 3308, 10291, 267, 16866, 5468, 27487, 267, 543, 3593, 7888, 7834, 4507, 563, 274, 269, 9208, 1944, 772, 311, 18963, 912, 21397, 6042, 1419, 1331, 4808, 543, 1655, 2853, 585, 3593, 1995, 630, 308, 311, 264, 1374, 269, 2755, 930, 1522, 8044, 602, 713, 7182, 5876, 267, 621, 2965, 4249, 513, 2565, 1909, 538, 2870, 5812, 543, 16022, 2833, 2066, 1114, 5867, 543, 3457, 563, 24092, 1436, 2337, 3755, 14678, 24559, 2933, 609, 513, 30892, 267, 3056, 547, 4824, 32636, 543, 4389, 1565, 14258, 269, 1879, 9858, 15666, 547, 891, 4808, 267, 621, 7512, 5499, 3435, 1369, 519, 3989, 5943, 269, 16743, 666, 2097, 538, 519, 1106, 540, 15931, 4205, 267, 2890, 12845, 574, 725, 267, 610, 13181, 5470, 7829, 6127, 267, 782, 4611, 538, 513, 811, 2502, 3593, 1995, 563, 275, 269, 32010, 19078, 5071, 14362, 912, 21397, 6042, 849, 2832, 547, 3895, 5683, 1374, 2853, 269, 1358, 5000, 9858, 547, 2015, 519, 1761, 1764, 540, 741, 17103, 593, 3755, 685, 1134, 5630, 267, 2790, 1072, 267, 543, 2949, 9547, 269, 1635, 10771, 5683, 9270, 267, 6042, 17362, 519, 1259, 585, 3743, 543, 28450, 1374, 563, 17637, 619, 616, 1631, 13934, 547, 1711, 772, 3674, 602, 4225, 3593, 1134, 5630, 676, 4227, 19240, 267, 5009, 11413, 267, 543, 8716, 2318, 3593, 5615, 269, 901, 5012, 547, 5647, 538, 30892, 1374, 676, 6220, 2934, 971, 607, 813, 6165, 9477, 267, 3059, 1134, 5630, 23106, 267, 543, 1543, 20208, 2645, 563, 1103, 3932, 267, 30892, 6042, 1058, 581, 2938, 607, 513, 18463, 585, 1374, 5647, 2864, 982, 513, 12042, 8896, 269, 28597, 711, 1152, 5849, 3656, 4170, 616, 1558, 855, 849, 31168, 5876, 543, 11479, 519, 1646, 540, 3435, 602, 3986, 32636, 267, 7834, 267, 32301, 267, 543, 5683, 1374, 3741, 563, 3528, 8508, 10220, 267, 9858, 666, 12260, 519, 2407, 1761, 540, 30892, 1374, 267, 1818, 2472, 543, 2533, 811, 3015, 267, 5150, 267, 16022, 267, 543, 3593, 7266, 878, 269, 3414, 713, 1935, 267, 9431, 10220, 3587, 519, 5748, 585, 3811, 1374, 5647, 602, 6038, 2640, 1312, 3755, 543, 4213, 7567, 563, 16920, 3737, 616, 4143, 2592, 602, 13686, 519, 2956, 540, 10220, 538, 30892, 1374, 269, 2290, 3239, 28420, 513, 1268, 609, 513, 3308, 15717, 16900, 1210, 606, 8818, 602, 740, 12742, 547, 10333, 6042, 269, 6271, 3239, 14550, 519, 2956, 540, 7834, 543, 1239, 3354, 676, 18995, 513, 3593, 18390, 15025, 609, 513, 30892, 602, 5849, 519, 4027, 540, 2123, 1344, 563, 263, 11900, 1068, 2592, 1934, 994, 2414, 1683, 606, 7317, 1995, 267, 649, 723, 849, 2813, 513, 2110, 3381, 602, 8711, 519, 1764, 540, 10220, 593, 30892, 1374, 5647, 269, 634, 3381, 20502, 1483, 3734, 1806, 1141, 10220, 12454, 1374, 814, 3366, 547, 8476, 3593, 2833, 267, 2799, 3972, 267, 543, 5818, 539, 1870, 2208, 563, 10490, 644, 1470, 19405, 2139, 2390, 7662, 994, 263, 9616, 281, 7490, 3277, 547, 519, 7923, 19180, 6119, 585, 513, 3102, 1620, 540, 519, 2035, 5941, 538, 713, 2376, 8094, 11514, 25068, 281, 634, 2592, 543, 7044, 1031, 538, 713, 2376, 616, 585, 3879, 13577, 5301, 1152, 543, 949, 711, 2099, 1808, 2472, 610, 2533, 563, 258, 4462, 24286, 1948, 22025, 1113, 1948, 8802, 2827, 1948, 4467, 20869, 1948, 293, 340, 1564, 1948, 17637, 1948, 1103, 2617, 566, 0, 25444, 4991, 1970, 30181, 689, 942, 547, 942, 267, 855, 952, 891, 4606, 1810, 1406, 979, 2476, 267, 621, 1223, 581, 513, 1129, 540, 4965, 269, 18833, 1018, 547, 1413, 856, 585, 543, 1141, 596, 666, 979, 585, 948, 666, 581, 519, 1101, 3268, 4724, 4743, 1732, 563, 1432, 568, 4965, 888, 12831, 1833, 568, 513, 1455, 2790, 1072, 1966, 602, 5540, 1472, 476, 272, 538, 476, 276, 4587, 1004, 269, 898, 1522, 1331, 513, 1970, 7099, 267, 4743, 27945, 610, 9561, 18399, 585, 1919, 269, 1809, 4965, 849, 814, 1082, 824, 2589, 596, 1522, 711, 2503, 563, 1692, 596, 1522, 1745, 454, 2005, 666, 581, 2182, 547, 2995, 952, 596, 723, 4965, 1317, 875, 621, 7959, 543, 1018, 621, 5654, 899, 666, 4268, 689, 1268, 547, 1268, 269, 1411, 1522, 1995, 513, 2039, 540, 4555, 543, 4606, 269, 1280, 1383, 267, 596, 1522, 912, 17380, 11981, 519, 1919, 602, 596, 1031, 547, 2972, 454, 22772, 621, 2182, 547, 13404, 454, 10623, 601, 27303, 610, 27945, 454, 13069, 727, 8886, 762, 1472, 824, 1004, 267, 610, 2057, 873, 454, 10623, 601, 8909, 610, 723, 513, 1970, 7099, 602, 3085, 1406, 12740, 454, 17647, 2042, 609, 707, 3965, 563, 302, 19520, 1004, 609, 4965, 666, 1995, 811, 2168, 2589, 269, 901, 1522, 1611, 596, 912, 2005, 779, 2653, 547, 16620, 3054, 952, 596, 2461, 4743, 1970, 267, 855, 3314, 602, 4965, 568, 711, 707, 13337, 269, 7102, 2352, 1305, 3724, 610, 1272, 1689, 666, 1860, 938, 2790, 1072, 543, 1118, 721, 811, 7925, 547, 4742, 20158, 563, 7312, 4606, 540, 4965, 949, 581, 1305, 1055, 676, 581, 516, 29713, 610, 2530, 267, 4743, 24949, 610, 9678, 267, 513, 1974, 540, 2192, 1072, 610, 676, 1978, 6527, 269, 6884, 267, 596, 949, 1265, 972, 779, 1100, 2312, 2601, 585, 4743, 20158, 563, 12831, 1833, 543, 12110, 454, 12831, 1833, 8843, 930, 2589, 609, 12110, 267, 971, 607, 3965, 2042, 610, 7411, 23622, 269, 1411, 949, 5855, 602, 596, 723, 12110, 950, 596, 2461, 2965, 20158, 269, 898, 949, 849, 1118, 621, 9875, 547, 13209, 4965, 952, 596, 2907, 723, 12110, 563, 27269, 267, 5712, 540, 1970, 7099, 4465, 1406, 2063, 1279, 269, 1403, 972, 779, 606, 6654, 2014, 267, 707, 7099, 949, 12740, 2899, 519, 1966, 568, 17251, 269, 1809, 621, 779, 15502, 547, 3343, 948, 693, 1022, 942, 267, 2436, 596, 4076, 1175, 3323, 4743, 1970, 610, 596, 4076, 1044, 4466, 1919, 2352, 585, 930, 942, 563, 2791, 1522, 1616, 547, 2015, 1489, 952, 912, 9767, 723, 2942, 4606, 602, 616, 3478, 8338, 610, 2063, 811, 982, 1079, 4374, 454, 1492, 2589, 616, 7679, 1359, 609, 707, 3232, 1272, 454, 20365, 1920, 543, 2828, 616, 14126, 454, 9767, 4076, 6378, 513, 4052, 1966, 602, 1522, 723, 3361, 707, 4965, 267, 855, 596, 1869, 1745, 1524, 454, 9767, 2461, 2348, 4555, 540, 1582, 3620, 1301, 610, 3206, 602, 1272, 3884, 1406, 4502, 2713, 563, 2252, 596, 1745, 596, 666, 1405, 979, 593, 454, 2252, 596, 1376, 547, 1745, 602, 1272, 3884, 1406, 4502, 2713, 610, 602, 596, 1616, 547, 2800, 3054, 267, 1205, 948, 5612, 563, 2252, 707, 1272, 568, 693, 1981, 267, 1289, 476, 15886, 543, 2307, 585, 606, 5605, 592, 766, 563, 2791, 1810, 1406, 723, 547, 723, 2168, 2589, 547, 3717, 547, 707, 13382, 827, 707, 1072, 269, 1403, 596, 2461, 7680, 1970, 7099, 610, 4965, 267, 707, 13382, 786, 581, 2111, 547, 2708, 707, 3510, 543, 2911, 827, 2126, 3681, 609, 596, 269, 1358, 1522, 2303, 912, 339, 22736, 11257, 267, 971, 607, 5646, 18522, 610, 5042, 24040, 3797, 630, 30274, 994, 4364, 1709, 267, 1519, 31520, 454, 1345, 25298, 2200, 543, 2238, 267, 971, 607, 1489, 2516, 267, 2228, 2645, 543, 2835, 454, 320, 4999, 540, 891, 1919, 563, 2005, 779, 513, 1434, 2856, 547, 2328, 1524, 3388, 596, 1616, 547, 2161, 547, 519, 13382, 865, 596, 1810, 1406, 7340, 1282, 519, 13393, 269, 3776, 2564, 13393, 1544, 1676, 666, 948, 596, 1376, 269, 1411, 1522, 1265, 621, 5363, 547, 723, 513, 3659, 610, 3448, 609, 596, 585, 1489, 950, 596, 1294, 707, 13382, 563, 307, 805, 906, 585, 4965, 454, 2467, 616, 6266, 540, 5574, 2139, 547, 948, 609, 4965, 269, 1358, 666, 581, 1360, 2500, 267, 1256, 952, 596, 4076, 1044, 4743, 1970, 585, 513, 1279, 942, 563, 307, 22736, 11257, 2356, 4125, 6340, 547, 513, 8036, 13309, 827, 707, 4555, 267, 4606, 543, 2833, 269, 1358, 666, 948, 596, 1265, 2081, 547, 4383, 519, 7965, 596, 2461, 2348, 269, 1703, 616, 1114, 2010, 267, 1519, 912, 7312, 13382, 666, 3277, 596, 585, 23244, 2533, 267, 799, 949, 581, 6035, 835, 3562, 14633, 267, 538, 513, 1895, 267, 936, 519, 6049, 610, 2228, 269, 769, 4789, 267, 596, 666, 849, 3277, 3054, 563, 2791, 666, 1224, 811, 827, 6158, 11257, 543, 875, 547, 1569, 873, 693, 912, 9767, 4312, 8737, 513, 2110, 1576, 540, 23244, 3797, 855, 1616, 811, 1489, 454, 9767, 1616, 811, 3903, 563, 1607, 1522, 711, 581, 606, 4781, 585, 3025, 1317, 621, 666, 581, 7199, 269, 634, 1942, 666, 4268, 513, 2603, 267, 865, 621, 779, 4502, 3168, 1472, 563, 7312, 13382, 1058, 581, 2111, 547, 948, 596, 1265, 513, 13309, 269, 1411, 1223, 849, 3346, 912, 13014, 2386, 707, 13309, 568, 26886, 676, 513, 3318, 1560, 267, 971, 607, 519, 645, 3722, 303, 563, 7312, 13382, 1522, 2709, 596, 6646, 267, 971, 607, 31520, 269, 1358, 1058, 2995, 596, 875, 1279, 596, 949, 991, 547, 1491, 621, 543, 827, 2009, 2427, 2360, 269, 898, 779, 1271, 547, 2638, 602, 1022, 1007, 6646, 786, 960, 1134, 609, 4376, 596, 2461, 2907, 2921, 563, 13014, 2386, 596, 1246, 707, 13382, 779, 5796, 585, 1022, 6646, 596, 4076, 1044, 11311, 269, 1403, 596, 1616, 547, 1491, 513, 2539, 9570, 610, 3247, 4625, 267, 2911, 547, 707, 13382, 1101, 267, 1256, 952, 596, 2461, 4743, 1732, 269, 28527, 1055, 930, 6527, 267, 971, 607, 31520, 267, 666, 2014, 15639, 2589, 952, 596, 3247, 2921, 873, 1932, 3533, 269, 9650, 814, 811, 1344, 827, 31520, 563, 8340, 1489, 538, 707, 2146, 454, 26222, 14540, 949, 2709, 5646, 18522, 610, 723, 1489, 2516, 267, 1141, 1004, 609, 3838, 2833, 948, 1142, 824, 269, 1452, 1331, 912, 16485, 707, 13382, 610, 5646, 8688, 528, 585, 7840, 540, 1582, 25298, 2200, 602, 596, 666, 798, 538, 707, 1378, 942, 269, 1358, 1522, 2303, 2835, 267, 8301, 10274, 610, 2228, 2533, 563, 2791, 666, 1265, 1863, 267, 4052, 2645, 593, 519, 23244, 7270, 547, 948, 596, 609, 707, 2790, 1072, 543, 8171, 693, 912, 560, 599, 538, 5905, 609, 1866, 1107, 596, 949, 1616, 547, 2057, 1866, 267, 855, 4743, 24949, 666, 1039, 547, 4965, 269, 8347, 547, 3251, 538, 5905, 609, 1004, 267, 1256, 952, 621, 7959, 899, 606, 4674, 693, 1101, 269, 898, 666, 948, 596, 1745, 811, 2318, 454, 19972, 1310, 707, 2168, 1072, 1107, 875, 596, 1745, 9308, 666, 1860, 707, 2790 ]

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

[ 547, 519, 17737, 267, 621, 849, 11151, 519, 12217, 689, 1373, 2111, 547, 1796, 20005, 267, 610, 538, 930, 2665, 1847, 693, 782, 269, 12389, 585, 476, 1015, 1700, 1321, 1296, 896, 971, 6381, 2164, 538, 4049, 2790, 2566, 543, 4887, 693, 15577, 269, 634, 4457, 2923, 4080, 606, 10071, 538, 799, 513, 3993, 7703, 1193, 22931, 1200, 1378, 7750, 1287, 7166, 9887, 547, 22302, 873, 1312, 689, 971, 513, 1272, 269, 769, 1079, 2203, 4457, 23925, 11396, 267, 519, 9966, 2033, 5980, 540, 519, 2136, 2276, 630, 9391, 4785, 264, 5359, 602, 519, 12217, 616, 6410, 547, 519, 24807, 524, 1137, 585, 5144, 532, 267, 855, 519, 1964, 540, 519, 942, 2661, 538, 513, 21799, 1804, 2614, 547, 1796, 543, 2490, 1472, 563, 763, 2622, 5980, 585, 519, 10466, 540, 12292, 2366, 3173, 547, 476, 1556, 23925, 11396, 269, 1358, 4080, 7487, 12217, 4779, 22135, 267, 536, 4474, 741, 9843, 1996, 741, 524, 1137, 267, 543, 21400, 741, 1378, 533, 9155, 269, 634, 9019, 2557, 568, 1360, 1164, 269, 645, 850, 12217, 7985, 689, 513, 3099, 540, 2168, 2042, 799, 1331, 2530, 540, 4552, 267, 22926, 267, 25224, 539, 2208, 267, 4887, 2527, 2530, 267, 543, 1419, 723, 741, 4522, 543, 32356, 13939, 269, 1879, 519, 12217, 3247, 6721, 23925, 1310, 513, 1906, 1296, 267, 789, 616, 2356, 7166, 585, 741, 5779, 267, 9663, 267, 533, 9155, 543, 7086, 1025, 5417, 619, 269, 19594, 533, 9155, 616, 2808, 513, 29535, 2329, 267, 543, 723, 1044, 2938, 11720, 539, 693, 1269, 7742, 269, 13772, 713, 476, 866, 15902, 3381, 543, 596, 786, 917, 621, 782, 563, 5475, 7487, 519, 3381, 596, 4440, 1745, 899, 803, 1107, 1250, 2295, 568, 679, 571, 3022, 543, 24986, 269, 5994, 519, 4887, 693, 15577, 1310, 865, 1082, 1296, 267, 4952, 519, 2790, 3441, 269, 1548, 2186, 540, 513, 1480, 1223, 1118, 513, 8559, 538, 513, 7703, 779, 1560, 267, 4734, 519, 1930, 10138, 543, 1287, 1349, 519, 10433, 936, 543, 936, 1586, 1107, 689, 606, 3662, 602, 568, 24986, 609, 1928, 543, 9810, 269, 594, 8910, 2648, 547, 798, 519, 1482, 547, 1346, 1004, 543, 741, 11537, 3283, 1107, 543, 1034, 540, 782, 267, 547, 519, 3484, 5411, 269, 901, 568, 835, 540, 519, 521, 5417, 652, 1919, 538, 519, 1158, 269, 594, 18149, 333, 2757, 4457, 4915, 5473, 796, 19960, 514, 762, 5820, 5215, 540, 2831, 616, 7166, 585, 1107, 20259, 4050, 529, 267, 23925, 267, 28591, 665, 14058, 18057, 267, 14854, 726, 770, 1258, 267, 3092, 269, 594, 1031, 547, 960, 538, 3624, 543, 4718, 972, 1100, 23502, 585, 865, 1082, 2713, 7068, 269, 898, 779, 865, 7920, 594, 1031, 547, 3956, 1250, 4064, 856, 593, 865, 1082, 14026, 269, 0, 32743, 877, 632, 631, 2544, 454, 26607, 11888, 267, 5147, 476, 1240, 267, 476, 1001, 273, 454, 2467, 723, 1044, 1896, 3140, 15294, 619, 538, 3345, 21241, 602, 723, 9676, 519, 3007, 540, 519, 2923, 543, 519, 29059, 540, 519, 1004, 269, 2290, 540, 891, 568, 519, 16423, 1920, 12638, 2282, 25725, 8235, 538, 4989, 267, 476, 4572, 271, 563, 1103, 2038, 2904, 267, 8361, 23771, 21334, 539, 547, 11318, 519, 5722, 2818, 540, 519, 15243, 16423, 1920, 267, 2059, 609, 741, 25287, 7911, 269, 23771, 10645, 972, 1185, 1044, 7965, 1063, 5128, 543, 15243, 16423, 585, 930, 942, 267, 543, 602, 519, 13249, 957, 1185, 6565, 4364, 689, 606, 5945, 835, 540, 16423, 779, 5243, 1185, 2944, 547, 835, 540, 23771, 779, 16933, 563, 299, 9707, 779, 4693, 729, 2656, 282, 519, 645, 1143, 541, 1188, 17650, 2317, 4080, 281, 968, 4263, 1100, 942, 1282, 519, 5618, 4693, 610, 519, 7552, 547, 645, 1143, 541, 1188, 1705, 519, 1793, 9707, 2769, 519, 13581, 652, 6161, 936, 519, 5216, 7606, 646, 23689, 4010, 1614, 4374, 3516, 269, 9717, 1169, 4316, 547, 1689, 1010, 5418, 320, 610, 1065, 644, 5573, 1010, 1476, 11970, 267, 543, 19230, 676, 25960, 715, 340, 612, 548, 540, 519, 3978, 1145, 540, 519, 5279, 547, 799, 646, 21334, 539, 543, 2663, 5418, 611, 16944, 267, 23771, 588, 334, 1227, 15189, 519, 2533, 540, 513, 15818, 543, 1152, 4280, 2560, 685, 2280, 621, 581, 936, 609, 607, 3728, 607, 2009, 10200, 7536, 299, 9707, 729, 2016, 513, 1272, 4845, 267, 855, 711, 3025, 5156, 519, 2013, 547, 581, 2312, 24408, 269, 15907, 713, 4266, 538, 476, 4572, 271, 267, 23771, 779, 2828, 3576, 909, 513, 3956, 585, 1776, 6217, 267, 605, 8010, 532, 1864, 547, 581, 17608, 563, 4263, 519, 1482, 942, 267, 8496, 877, 632, 631, 2737, 267, 513, 853, 269, 6754, 804, 1515, 341, 1195, 656, 267, 8179, 519, 1269, 272, 267, 1822, 8007, 602, 1185, 1044, 6035, 676, 17135, 17793, 345, 1512, 585, 519, 7001, 540, 519, 16423, 1920, 15294, 19907, 269, 631, 2737, 10272, 3345, 21241, 538, 713, 1391, 267, 10483, 676, 717, 269, 654, 269, 3751, 267, 513, 853, 269, 6754, 19792, 945, 1185, 1044, 7722, 676, 519, 30374, 4937, 779, 5604, 547, 948, 1265, 519, 27521, 269, 1261, 1185, 8854, 547, 8496, 877, 632, 631, 2544, 585, 948, 593, 1896, 2665, 538, 853, 269, 6754, 267, 543, 1185, 31570, 1200, 1586, 3823, 519, 16423, 1920, 15294, 619, 269, 1306, 519, 1957, 4080, 267, 968, 763, 8496, 877, 267, 1210, 1200, 7060, 547, 1294, 519, 31305, 267, 4166, 1185, 513, 2790, 4605, 540, 519, 2898, 6760, 267, 799, 3769, 23771, 269, 3973, 3751, 4682, 1394, 547, 25725, 8235, 543, 646, 5795, 1344, 547, 519, 2199, 10492, 267, 945, 1500, 519, 10654, 543, 5833, 519, 1476, 11970, 267, 799, 23771, 1631, 568, 3843, 547, 1065, 644, 5573, 269, 4475, 267, 519, 8496, 877, 19262, 519, 8007, 267, 1352, 3081, 269, 1656, 1352, 568, 2469, 547, 1205, 621, 267, 952, 1352, 666, 3034, 9515, 849, 10645, 513, 1114, 2601, 585, 519, 12638, 267, 543, 602, 972, 729, 1776, 1268, 267, 855, 1352, 4769, 1406, 1118, 1454, 2212, 3118, 538, 11543, 519, 8007, 269, 589, 1906, 4374, 2663, 267, 621, 729, 4080, 602, 519, 17294, 779, 8007, 729, 2760, 6976, 563, 291, 18235, 11261, 1504, 2854, 676, 8861, 21701, 454, 763, 645, 1143, 541, 1188, 17650, 2317, 267, 5147, 476, 2641, 267, 476, 4572, 271, 267, 533, 272, 454, 763, 645, 1143, 541, 1188, 17650, 2317, 267, 5147, 476, 736, 267, 476, 4572, 271, 267, 533, 272, 454, 763, 645, 1143, 541, 1188, 17650, 2317, 267, 4864, 476, 275, 267, 476, 4572, 271, 267, 533, 277, 454, 763, 645, 1143, 541, 1188, 17650, 2317, 267, 2904, 476, 1724, 267, 476, 4572, 271, 267, 533, 272, 0, 704, 18727, 513, 4909, 543, 538, 525, 5115, 762, 8082, 1063, 519, 1079, 2959, 540, 1648, 538, 2229, 281, 922, 11156, 543, 519, 2470, 540, 2797, 812, 269, 898, 568, 513, 4655, 1063, 1148, 543, 2470, 799, 711, 1256, 513, 1455, 7029, 547, 513, 9139, 3964, 676, 519, 1004, 543, 27985, 796, 531, 614, 762, 676, 519, 2229, 666, 5150, 1996, 19374, 540, 519, 2474, 540, 519, 5449, 269, 2755, 2229, 8547, 593, 513, 11156, 1244, 5966, 3278, 15194, 1379, 1759, 593, 1018, 23885, 1572, 2123, 1915, 610, 519, 2597, 540, 1920, 267, 519, 3635, 540, 1379, 568, 16876, 547, 713, 3312, 6876, 1152, 609, 1390, 7411, 267, 952, 693, 782, 269, 7186, 814, 2016, 1169, 2229, 1648, 676, 23478, 1346, 945, 3635, 922, 7060, 519, 1079, 1390, 24500, 268, 3711, 819, 543, 1285, 541, 823, 19351, 747, 10038, 519, 2623, 540, 782, 1857, 4703, 538, 519, 6644, 540, 519, 3056, 13368, 619, 563, 763, 6574, 7411, 519, 13368, 619, 5185, 538, 11028, 4290, 532, 513, 1813, 1648, 538, 519, 10324, 609, 6617, 538, 519, 15424, 7936, 21256, 689, 519, 2418, 799, 789, 5156, 4122, 13251, 2043, 547, 4196, 538, 519, 1079, 8371, 267, 6606, 269, 634, 14130, 538, 1880, 729, 6743, 547, 676, 930, 13368, 619, 547, 4196, 607, 519, 21543, 540, 2829, 5443, 267, 543, 3028, 538, 2901, 7936, 729, 1152, 547, 6108, 942, 593, 519, 1259, 547, 519, 13527, 540, 674, 877, 267, 547, 946, 8176, 18237, 1188, 2284, 781, 6264, 559, 13228, 550, 1893, 269, 4634, 23885, 598, 1027, 539, 602, 20440, 5265, 11479, 9777, 2209, 4171, 2978, 832, 616, 818, 706, 748, 543, 10355, 30039, 609, 2901, 5763, 610, 21239, 865, 602, 789, 1590, 1413, 6038, 547, 519, 13287, 540, 519, 8545, 538, 519, 10324, 7936, 269, 11048, 267, 646, 29739, 602, 519, 15424, 7936, 1590, 4482, 16805, 543, 25432, 20005, 7606, 547, 922, 3028, 269, 901, 991, 711, 5976, 9227, 267, 972, 729, 1100, 8969, 538, 1010, 2247, 602, 519, 2474, 540, 513, 2854, 11156, 3112, 10018, 602, 519, 2818, 540, 1022, 540, 519, 8371, 786, 581, 9141, 676, 20440, 547, 2226, 741, 18005, 782, 6838, 8843, 540, 1379, 610, 581, 1964, 11712, 676, 13348, 5328, 24500, 547, 1965, 3832, 342, 19374, 540, 2854, 18715, 540, 1367, 2924, 269, 1306, 1279, 607, 2229, 568, 519, 6574, 540, 782, 18759, 593, 1480, 2470, 267, 972, 786, 581, 606, 538, 525, 5115, 762, 8082, 1063, 519, 13338, 543, 2067, 2959, 540, 1648, 538, 2229, 269, 11086, 267, 23885, 11943, 267, 1152, 519, 12477, 540, 25432, 20541, 17710, 547, 606, 10332, 1528, 28672, 666, 2226, 519, 4998, 540, 13338, 2229, 538, 2259, 269, 15638, 941, 4166, 547, 6961, 875, 17866, 6071, 533, 1105, 618, 568, 607, 513, 11064, 547, 519, 3635, 540, 1379, 538, 519, 1655, 540, 6381, 543, 267, 2523, 952, 713, 4182, 568, 5185, 609, 2901, 519, 4641, 610, 519, 6937, 540, 2112, 563, 5226, 652, 807, 267, 513, 851, 540, 717, 1446, 267, 595, 1263, 720, 4804, 269, 8940, 269, 26810, 807, 2593, 454, 26397, 1344, 281, 3883, 2140, 281, 6276, 23885, 593, 519, 9139, 543, 519, 9291, 540, 7126, 269, 19928, 12781, 281, 7917, 808, 269, 21546, 910, 8191, 269, 21629, 281, 5682, 6229, 4964, 269, 9255, 540, 8313, 281, 1715, 3840, 269, 22910, 1032, 281, 476, 2735, 279, 269, 8525, 1297, 281, 476, 8064, 563, 1607, 1570, 568, 6870, 676, 10677, 543, 267, 609, 519, 9868, 540, 4023, 946, 267, 949, 711, 581, 2417, 23652, 267, 7856, 610, 10299, 538, 1022, 1106, 610, 676, 1022, 1797, 269, 0, 5723, 22552, 16898, 281, 18708, 339, 2763, 1710, 1652, 11188, 17763, 2478, 941, 23500, 676, 1210, 21800, 3308, 543, 1035, 24065, 673, 2409, 689, 476, 277, 5437, 547, 476, 1724, 5412, 476, 1220, 277, 269, 5565, 1382, 8043, 6287, 539, 8305, 334, 17974, 1239, 2845, 7970, 267, 799, 941, 1031, 547, 4558, 519, 8515, 543, 3280, 2707, 4287, 540, 519, 1164, 4908, 5067, 541, 6786, 3812, 676, 1710, 1652, 11188, 17763, 2478, 693, 7020, 9832, 909, 547, 476, 4968, 544, 593, 1142, 2427, 540, 519, 6077, 269, 11822, 8305, 334, 11237, 8108, 4847, 519, 9668, 540, 3982, 19777, 517, 541, 3280, 2707, 267, 799, 13087, 721, 547, 1293, 519, 1297, 540, 13047, 1944, 11188, 17763, 2478, 269, 3600, 24065, 1227, 267, 476, 14225, 11188, 17763, 2478, 941, 9571, 689, 835, 6077, 543, 476, 1960, 689, 519, 824, 6077, 538, 519, 1482, 3296, 540, 519, 18708, 339, 2763, 5211, 269, 6250, 1302, 267, 476, 14321, 543, 476, 14341, 11188, 17763, 2478, 941, 9571, 689, 1079, 8043, 1369, 476, 4968, 544, 540, 519, 6077, 3950, 269, 634, 7229, 7020, 5506, 1210, 17974, 1505, 729, 5111, 7466, 602, 585, 3308, 7020, 585, 1142, 6077, 269, 634, 3017, 538, 7020, 17831, 1063, 519, 1079, 2409, 729, 3361, 676, 519, 1804, 1297, 540, 2582, 2043, 602, 941, 14406, 676, 3308, 24319, 269, 1717, 267, 519, 7306, 540, 1804, 2516, 941, 19765, 13846, 676, 1210, 519, 17974, 2409, 269, 3600, 15064, 543, 3308, 7422, 1264, 7757, 1142, 824, 538, 519, 4977, 7020, 540, 11188, 17763, 2478, 269, 634, 946, 540, 2241, 267, 5266, 20522, 17974, 5464, 1949, 1058, 3986, 2551, 12220, 540, 1863, 8573, 4474, 267, 552, 3273, 20814, 5212, 2632, 665, 26347, 563, 763, 4750, 540, 519, 3600, 24065, 673, 5980, 540, 3013, 476, 5881, 270, 1220, 279, 282, 476, 11277, 263, 277, 2567, 24496, 274, 268, 1556, 269, 5788, 476, 272, 269, 4649, 8177, 16748, 0, 4415, 1492, 2479, 2810, 3747, 540, 3039, 1648, 267, 31132, 543, 3744, 732, 2324, 593, 2081, 602, 666, 676, 1100, 1797, 581, 17941, 6671, 269, 22319, 8722, 514, 543, 3798, 8585, 761, 339, 616, 1079, 971, 31132, 945, 1616, 519, 11995, 14683, 1811, 267, 799, 649, 946, 3232, 547, 862, 1393, 547, 938, 4025, 540, 960, 267, 581, 935, 30062, 883, 7791, 1648, 18402, 267, 799, 1223, 835, 1554, 1379 ]

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

[ 2042, 267, 799, 4667, 547, 581, 519, 1034, 2352, 1858, 540, 1382, 538, 713, 9015, 563, 268, 918, 19561, 384, 483, 385, 376, 7288, 267, 887, 345, 323, 345, 807, 22119, 344, 0, 296, 1767, 948, 596, 609, 713, 3830, 269, 594, 6415, 20994, 602, 3830, 593, 1655, 1899, 540, 3514, 269, 594, 1589, 519, 1101, 851, 568, 21501, 621, 269, 1656, 607, 596, 666, 1294, 519, 1239, 568, 7396, 19804, 547, 519, 2427, 1934, 269, 1656, 519, 1239, 13602, 616, 519, 1239, 568, 28367, 1934, 2907, 585, 596, 563, 3383, 594, 3494, 1631, 596, 1175, 991, 547, 1205, 513, 1434, 7447, 540, 19804, 1141, 519, 1141, 707, 1899, 267, 952, 621, 568, 2469, 547, 581, 621, 814, 547, 581, 2111, 547, 3444, 998, 782, 540, 891, 2798, 269, 1924, 952, 596, 1589, 621, 781, 1934, 610, 5310, 596, 917, 2147, 2147, 547, 1934, 19804, 594, 3494, 621, 781, 2731, 593, 707, 10385, 855, 1934, 781, 1141, 594, 2322, 519, 1899, 865, 602, 781, 1141, 594, 2322, 621, 1318, 972, 269, 9877, 540, 590, 13446, 594, 1185, 547, 12575, 519, 3381, 269, 772, 332, 1924, 602, 781, 1250, 1899, 540, 3514, 269, 1924, 1631, 649, 6192, 602, 563, 3383, 594, 3494, 952, 594, 6415, 2953, 267, 707, 4116, 568, 8380, 621, 1759, 593, 10385, 4466, 513, 1899, 540, 3514, 585, 519, 1239, 269, 1924, 1631, 596, 1616, 547, 946, 513, 24275, 9498, 1932, 269, 1924, 713, 568, 1318, 269, 590, 13446, 596, 1616, 547, 946, 9493, 1695, 9498, 547, 1265, 519, 3830, 585, 602, 1272, 269, 1924, 585, 9553, 1934, 543, 1577, 803, 1294, 952, 594, 666, 24139, 2721, 563, 8133, 269, 28514, 269, 1924, 1018, 596, 1616, 547, 798, 568, 1265, 1079, 2798, 593, 519, 3113, 519, 12969, 269, 1924, 1577, 781, 2161, 1318, 1934, 543, 1318, 1934, 621, 781, 952, 596, 616, 5432, 609, 519, 9386, 19804, 18448, 1106, 649, 1246, 1946, 11224, 544, 343, 7132, 645, 269, 1411, 2328, 602, 1524, 585, 596, 543, 1946, 568, 519, 1482, 585, 1169, 3830, 563, 3383, 586, 11224, 649, 2141, 4734, 621, 693, 602, 269, 645, 568, 519, 1946, 18448, 1175, 2469, 547, 2322, 602, 568, 1946, 10759, 543, 631, 568, 938, 9386, 269, 1924, 649, 1616, 547, 1413, 693, 891, 1079, 607, 596, 666, 1294, 649, 4473, 909, 1079, 4559, 269, 1924, 602, 781, 875, 1082, 649, 4473, 269, 594, 6415, 20994, 563, 6546, 729, 2731, 2808, 803, 269, 594, 991, 547, 2328, 585, 9386, 269, 1284, 1246, 4473, 936, 2196, 267, 602, 781, 2469, 547, 2995, 721, 875, 1082, 3764, 649, 4473, 909, 267, 875, 1082, 4559, 649, 4473, 547, 1776, 547, 1205, 547, 519, 824, 1448, 269, 1924, 649, 723, 713, 835, 547, 1205, 547, 713, 1448, 269, 1284, 9782, 1079, 4559, 543, 649, 4682, 2066, 835, 1770, 563, 3383, 602, 851, 568, 519, 2196, 269, 1924, 2196, 568, 2066, 269, 1924, 594, 3513, 1397, 596, 543, 14380, 2469, 909, 543, 1524, 269, 23010, 269, 1924, 607, 596, 666, 1294, 649, 9782, 547, 649, 10443, 835, 563, 3383, 602, 1131, 581, 1079, 1280, 519, 1964, 1079, 4559, 543, 936, 835, 1656, 602, 29776, 547, 1079, 269, 1809, 1317, 602, 713, 568, 513, 18746, 19527, 602, 4682, 899, 713, 267, 621, 781, 27613, 581, 513, 2942, 1932, 1317, 621, 568, 513, 2942, 9386, 269, 1403, 621, 729, 2469, 20733, 899, 713, 1259, 621, 1131, 581, 1932, 269, 1809, 538, 713, 2013, 568, 2469, 1524, 2072, 1946, 286, 898, 781, 513, 2942, 1297, 267, 595, 7837, 10577, 269, 3767, 649, 723, 1079, 1535, 594, 6415, 20994, 267, 910, 273, 2473, 563, 27078, 894, 1079, 2473, 269, 1656, 1631, 649, 991, 547, 1265, 519, 962, 18448, 799, 568, 1141, 519, 1899, 22613, 519, 962, 7852, 267, 6904, 538, 713, 2013, 568, 476, 736, 267, 1924, 621, 1131, 581, 586, 11224, 2942, 1079, 1535, 7132, 476, 736, 269, 1924, 602, 594, 3494, 568, 707, 2626, 2185, 1297, 610, 20994, 585, 4484, 645, 269, 1656, 1287, 621, 3081, 2422, 1142, 2203, 547, 3589, 519, 1871, 540, 519, 18914, 1310, 5216, 1296, 269, 1924, 3168, 693, 602, 267, 2285, 803, 513, 4090, 563, 3383, 20994, 30610, 1631, 596, 1616, 547, 1577, 803, 1175, 18419, 782, 602, 11991, 8631, 1934, 269, 28514, 594, 6415, 711, 6998, 946, 621, 1142, 13304, 547, 3589, 519, 1871, 540, 519, 18914, 1310, 5216, 1296, 269, 772, 332, 594, 993, 711, 2386, 875, 547, 4194, 621, 269, 4635, 713, 2203, 269, 594, 666, 2995, 596, 1210, 713, 3113, 1934, 563, 308, 332, 649, 723, 713, 568, 519, 2473, 269, 31196, 568, 10203, 538, 11996, 540, 2947, 269, 1924, 952, 649, 1293, 476, 2537, 476, 27174, 4281, 269, 1284, 666, 1413, 1934, 602, 19804, 538, 5216, 267, 590, 13446, 538, 5216, 1296, 519, 1871, 540, 519, 18914, 568, 4502, 2185, 594, 3494, 269, 1924, 621, 781, 2469, 1524, 538, 1871, 563, 3383, 594, 6415, 1175, 2469, 547, 2322, 585, 513, 595, 269, 594, 6415, 711, 2386, 1018, 19804, 4559, 789, 2811, 3168, 693, 269, 594, 6415, 1175, 27613, 2322, 2185, 4559, 269, 594, 6415, 711, 2386, 269, 1269, 275, 269, 6860, 563, 2791, 666, 12990, 602, 2663, 593, 269, 1809, 9493, 1695, 602, 781, 875, 594, 1131, 1265, 621, 269, 4635, 519, 3113, 269, 594, 6415, 20994, 952, 713, 4769, 1405, 948, 269, 772, 332, 11289, 596, 865, 1454, 585, 11488, 1022, 2243, 1498, 563, 308, 332, 952, 596, 723, 1022, 10539, 5225, 1577, 803, 917, 543, 594, 4126, 596, 723, 513, 1390, 1964, 540, 707, 1554, 269, 11289, 596, 269, 0, 268, 589, 5124, 3763, 518, 4749, 3523, 919, 609, 1239, 4015, 543, 12642, 547, 1683, 3407, 4267, 543, 5813, 563, 268, 5124, 568, 1031, 538, 1357, 1646, 267, 3684, 1565, 267, 5841, 4987, 267, 3621, 7384, 267, 543, 4081, 1382, 563, 268, 4595, 519, 1871, 540, 2029, 5610, 2799, 513, 1906, 1296, 3516, 267, 519, 2990, 540, 513, 5124, 17354, 538, 606, 3919, 568, 3592, 796, 28300, 762, 563, 268, 5124, 779, 2702, 547, 960, 609, 1239, 12957, 543, 6620, 2306, 621, 606, 5140, 3684, 1565, 5752, 1893, 563, 268, 634, 5752, 3760, 3533, 9060, 1239, 3270, 267, 3466, 267, 543, 3406, 26389, 593, 519, 4950, 543, 12958, 513, 2312, 1344, 1867, 563, 5649, 519, 2347, 2376, 693, 281, 18651, 1399, 2593 ]

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

[ 519, 4611, 1560, 563, 1892, 1849, 1442, 6128, 454, 2252, 621, 568, 1631, 476, 278, 281, 4343, 10681, 267, 1018, 942, 786, 621, 581, 538, 476, 1789, 267, 30033, 267, 4200, 277, 267, 21878, 3764, 689, 1631, 888, 1892, 6828, 540, 1453, 454, 2467, 568, 513, 1895, 540, 1453, 269, 1703, 568, 513, 7911, 3957, 14088, 538, 1142, 540, 519, 1614, 1453, 32299, 543, 513, 8004, 3957, 2142, 1092, 538, 1142, 14415, 564, 630, 27917, 2173, 1897, 32299, 1040, 1215, 1082, 1453, 666, 581, 538, 971, 513, 1895, 543, 1018, 616, 741, 4408, 538, 602, 2013, 888, 1892, 28116, 11149, 454, 3725, 2897, 519, 1079, 13306, 11057, 11149, 609, 476, 271, 269, 279, 546, 332, 543, 476, 271, 269, 277, 546, 332, 8728, 609, 513, 2582, 13306, 11057, 835, 865, 602, 621, 814, 519, 1482, 4320, 607, 519, 1079, 3312, 3283, 1927, 269, 1548, 568, 519, 3259, 540, 519, 6316, 540, 713, 13306, 888, 1892, 634, 2837, 476, 1015, 454, 763, 2837, 538, 513, 29606, 568, 910, 1428, 9180, 543, 621, 4679, 676, 476, 274, 9180, 563, 1892, 634, 13306, 454, 763, 13306, 814, 513, 2627, 540, 476, 7785, 4699, 273, 267, 1018, 568, 922, 4320, 888, 1892, 22588, 540, 606, 5662, 454, 2252, 519, 9219, 4951, 513, 10116, 540, 606, 5662, 811, 267, 621, 1131, 581, 476, 1015, 3764, 547, 476, 1015, 3108, 269, 1215, 1082, 3108, 798, 789, 1397, 888, 1892, 1323, 20987, 454, 2304, 20987, 13733, 476, 13893, 271, 5998, 538, 476, 273, 476, 272, 270, 275, 3108, 269, 1548, 568, 922, 3328, 3432, 538, 5998, 829, 5662, 888, 1892, 11730, 829, 942, 454, 1692, 1279, 1281, 6445, 1491, 585, 513, 6802, 609, 513, 4320, 2095, 540, 476, 1220, 561, 829, 8792, 6445, 513, 13306, 11057, 7382, 909, 547, 476, 4037, 260, 540, 922, 4463, 952, 519, 3259, 540, 519, 13306, 6316, 568, 476, 275, 544, 888, 1892, 19933, 679, 5145, 956, 454, 275, 7544, 679, 5145, 956, 941, 15472, 693, 519, 13037, 269, 7183, 1185, 1447, 982, 476, 1015, 543, 811, 982, 476, 736, 2818, 269, 2353, 25249, 689, 930, 540, 519, 1079, 679, 5145, 956, 941, 6719, 538, 1142, 7544, 269, 3689, 267, 476, 4029, 5171, 941, 593, 519, 3942, 267, 1287, 476, 3953, 267, 476, 4097, 267, 476, 3374, 267, 476, 4391, 267, 543, 476, 4343, 269, 1215, 1082, 546, 4545, 454, 1892, 16265, 24219, 5036, 454, 2690, 1079, 5036, 918, 267, 700, 568, 3020, 281, 918, 814, 476, 1789, 2609, 267, 700, 814, 476, 2767, 2609, 543, 519, 1305, 700, 910, 918, 814, 476, 2420, 2609, 269, 1215, 1082, 2609, 1281, 519, 1305, 918, 910, 700, 723, 286, 0, 2791, 616, 593, 2985, 476, 272, 1993, 476, 273, 692, 258, 2859, 27155, 6657, 692, 1012, 14419, 2436, 1142, 23481, 568, 513, 3815, 540, 1535, 274, 1341, 476, 274, 343, 273, 12865, 511, 476, 1015, 343, 12865, 511, 476, 2190, 780, 272, 269, 1535, 1341, 476, 275, 476, 273, 269, 1535, 12865, 511, 476, 274, 476, 274, 269, 1535, 1341, 476, 277, 476, 275, 269, 1535, 1341, 476, 273, 692, 1012, 476, 277, 269, 630, 273, 343, 275, 1341, 476, 2537, 343, 274, 1341, 476, 2568, 343, 273, 12865, 511, 476, 10219, 343, 12865, 511, 476, 4335, 264, 21680, 630, 343, 1341, 476, 275, 2020, 272, 454, 278, 269, 630, 274, 343, 274, 12865, 511, 476, 273, 1535, 476, 273, 31609, 476, 273, 1535, 31609, 476, 272, 264, 25104, 372, 630, 1535, 31609, 12467, 274, 692, 8196, 10991, 6498, 543, 519, 2016, 3815, 547, 4625, 3815, 1142, 9971, 454, 10818, 563, 279, 269, 586, 815, 1535, 274, 1341, 476, 274, 343, 273, 12865, 511, 476, 1724, 343, 12865, 511, 476, 1428, 282, 630, 343, 1341, 476, 276, 264, 476, 280, 269, 586, 815, 1535, 274, 12865, 511, 476, 274, 343, 273, 12865, 511, 476, 1015, 343, 1341, 476, 2190, 282, 630, 343, 12865, 511, 476, 273, 2020, 1012, 476, 1015, 269, 586, 815, 1535, 274, 1341, 1535, 273, 12865, 511, 476, 1015, 343, 1341, 476, 279, 282, 630, 343, 12865, 511, 476, 272, 264, 476, 1556, 269, 586, 815, 1535, 274, 1341, 476, 275, 343, 273, 12865, 511, 476, 280, 343, 12865, 511, 476, 3607, 282, 630, 343, 1341, 476, 274, 2020, 1321, 269, 634, 4082, 966, 3287, 264, 815, 1535, 274, 12865, 511, 476, 1724, 343, 1341, 476, 1321, 4564, 519, 4320, 540, 513, 14328, 2922, 454, 514, 12945, 3952, 269, 634, 3259, 540, 519, 2922, 568, 1535, 1341, 476, 275, 269, 1548, 5276, 7215, 609, 8870, 454, 1723, 324, 13266, 1223, 2099, 519, 824, 7516, 540, 519, 2922, 286, 27539, 602, 519, 454, 19417, 568, 3152, 982, 519, 8700, 780, 1724, 269, 634, 4320, 538, 12945, 6279, 540, 513, 4216, 666, 581, 6829, 607, 519, 1587, 540, 922, 1614, 454, 323, 574, 5014, 281, 966, 3287, 264, 815, 1535, 274, 12865, 511, 476, 1626, 343, 273, 1341, 476, 8064, 343, 12865, 511, 476, 6344, 269, 634, 3259, 568, 1535, 12865, 511, 476, 279, 269, 4855, 5276, 454, 10339, 11306, 609, 8870, 14170, 585, 519, 824, 7516, 269, 27539, 602, 519, 8700, 454, 529, 3152, 982, 519, 4463, 780, 1691, 269, 634, 4082, 1535, 274, 1341, 476, 1626, 343, 273, 1341, 476, 6924, 343, 1341, 476, 3199, 4564, 519, 4320, 540, 513, 8768, 4216, 454, 514, 12945, 6279, 269, 634, 4082, 1535, 1341, 476, 275, 4564, 519, 3178, 540, 519, 4216, 563, 10112, 2541, 602, 519, 3259, 568, 3152, 982, 519, 4463, 543, 602, 5276, 7215, 454, 5976, 8870, 14170, 2099, 1312, 563, 320, 269, 1548, 616, 519, 824, 7516, 540, 519, 8768, 4216, 888, 321, 269, 1403, 1535, 815, 476, 274, 267, 1018, 616, 519, 7516, 540, 519, 8768, 4216, 286, 0, 10112, 9892, 318, 275, 1151, 692, 258, 12143, 318, 275, 1151, 910, 630, 320, 11192, 5295, 623, 18150, 6991, 585, 28740, 13718, 1607, 12744, 2982, 3817, 476, 272, 1700, 273, 269, 6178, 909, 547, 2070, 519, 2407, 1543, 780, 10112, 9892, 476, 275, 10298, 476, 272, 269, 1627, 284, 279, 269, 271, 9943, 1015, 476, 274, 544, 476, 274, 1315, 323, 267, 717, 284, 1911, 271, 590, 910, 272, 570, 284, 476, 1428, 2073, 4009, 16935, 609, 513, 3178, 3160, 547, 476, 272, 269, 1839, 2053, 8700, 267, 512, 546, 815, 1789, 521, 512, 546, 815, 966, 270, 304, 966, 815, 1627, 339, 546, 815, 630, 279, 269, 271, 9943, 1015, 476, 274, 544, 476, 274, 1315, 323, 7565, 1789, 521, 7565, 272, 323, 270, 279, 5038, 876, 521, 264, 815, 476, 273, 269, 4281, 544, 476, 274, 700, 815, 530, 267, 667, 815, 272, 269, 1839, 342, 966, 815, 700, 342, 291, 815, 530, 476, 274, 630, 272, 269, 1839, 264, 815, 476, 273, 269, 4281, 544, 476, 274, 530, 815, 476, 274, 476, 274, 630, 273, 269, 4281, 332, 3738, 270, 272, 269, 1839, 476, 272, 269, 4029, 815, 544, 700, 815, 530, 815, 476, 272, 269, 4029, 544, 267, 667, 815, 476, 272, 269, 1839, 630, 272, 269, 4029, 544, 264, 815, 476, 272, 269, 5038, 544, 717, 815, 476, 272, 270, 476, 273, 623, 966, 13179, 2073, 623, 815, 13179, 309, 294, 476, 273, 2311, 476, 1428, 2433, 13179, 815, 476, 272, 269, 16928, 6398, 476, 1015, 910, 274, 715, 1606, 8276, 476, 273, 630, 11899, 8276, 1606, 1070, 6543, 479, 815, 476, 15886, 269, 272, 4846, 8276, 476, 274, 623, 284, 630, 272, 269, 16928, 6398, 476, 1015, 910, 274, 4846, 8276, 1606, 7565, 273, 269, 4281, 544, 476, 274, 3738, 263, 1911, 271, 521, 910, 272, 3738, 476, 273, 815, 476, 25628, 277, 4846, 2173, 476, 273, 1315, 338, 476, 274, 815, 476, 25628, 277, 808, 4882, 815, 25628, 277, 654, 6764, 11839, 8006, 267, 546, 815, 476, 271, 269, 2004, 342, 815, 630, 271, 269, 2004, 7565, 272, 269, 4029, 544, 264, 815, 476, 271, 269, 5780, 544, 476, 273, 269, 589, 1166, 665, 1529, 1807, 31784, 540, 519, 1374, 543, 7516, 3254, 2630, 568, 29352, 998, 1216, 693, 476, 736, 522, 595, 609, 606, 16070, 3432, 540, 476, 275, 269, 271, 678, 26553, 269, 630, 320, 264, 1215, 1454, 1379, 568, 26632, 730, 883, 519, 1216, 286, 630, 321, 264, 1403, 519, 7382, 538, 799, 713, 31784, 568, 15914, 814, 519, 7516, 540, 476, 275, 6398, 476, 275, 6398, 476, 275, 544, 543, 519, 2095, 998, 519, 7382, 568, 476, 4335, 271, 544, 476, 274, 1315, 323, 267, 3313, 519, 717, 339, 1871, 585, 519, 1166, 665, 1529, 1807, 780, 1607, 12744, 814, 17543, 23324, 6810, 269, 6178, 909, 547, 2070, 519, 2407, 4528, 780, 8698, 9509, 11657, 454, 1607, 568, 519, 1439, 540, 519, 12744, 269, 6178, 909, 547, 1569, 519, 1964, 540, 519, 3561, 780, 4462, 8971, 1540, 1257, 12744, 281, 630, 320, 264, 11192, 5295, 623, 18150, 6991, 585, 28740, 4604, 815, 1535, 476, 273, 1535, 476, 275, 1535, 476, 272, 270, 2568, 815, 476, 271, 269, 275, 866, 544, 4882, 623, 18150, 6991, 585, 9018, 4604, 815, 1535, 476, 274, 1535, 476, 275, 1535, 476, 272, 270, 2568, 815, 476, 271, 269, 277, 2764, 544, 4882, 5295, 585, 1142, 31784, 623, 18150, 9133, 3432, 630, 309, 533, 3738, 815, 476, 271, 269, 4037, 1535, 31784, 6991, 3213, 18026, 540, 8749, 630, 290, 323, 264, 815, 476, 272, 269, 279, 585, 6366, 16405, 25670, 540, 1216, 630, 3738, 815, 476, 4200, 279, 269, 273, 4846, 8276, 476, 274, 966, 4593, 13920, 267, 815, 476, 272, 269, 16573, 1535, 1015, 268, 274, 715, 4732, 8276, 476, 273, 623, 815, 630, 290, 546, 589, 533, 966, 533, 476, 274, 3738, 270, 273, 5295, 267, 623, 272, 585, 6418, 4604, 815, 1496, 272, 269, 279, 1535, 630, 271, 269, 272, 1535, 274, 1535, 476, 275, 264, 1535, 476, 4200, 279, 269, 273, 1535, 630, 271, 269, 4037, 1535, 476, 271, 269, 275, 866, 264, 476, 274, 9948, 270, 273, 815, 476, 3451, 269, 5379, 26910, 5295, 267, 623, 273, 585, 6418, 4604, 815, 1496, 272, 269, 279, 1535, 630, 271, 269, 272, 1535, 274, 1535, 476, 275, 264, 1535, 476, 4200, 279, 269, 273, 1535, 630, 271, 269, 4037, 1535, 476, 271, 269, 277, 2764, 264, 476, 274, 9948, 270, 273, 815, 476, 12208, 269, 5038, 26910, 11192, 1379, 623, 815, 623, 272, 1341, 623, 273, 815, 476, 3451, 269, 5379, 1341, 476, 12208, 269, 5038, 815, 476, 16409, 269, 272, 26910, 630, 321, 264, 717, 339, 4825, 1549, 5384, 267, 512, 815, 966, 270, 304, 815, 476, 275, 343, 275, 343, 275, 270, 4335, 271, 815, 476, 271, 269, 23713, 279, 2395, 815, 476, 8099, 277, 3813, 717, 815, 1496, 303, 14370, 309, 343, 3738, 316, 476, 272, 270, 273, 815, 1496, 16409, 269, 272, 14370, 275, 343, 275, 343, 275, 343, 272, 269, 16573, 343, 1015, 268, 274, 3738, 316, 476, 272, 270, 273, 815, 476, 5325, 269, 4037, 521, 268, 272, 4475, 267, 717, 339, 815, 476, 8099, 277, 1535, 476, 5325, 269, 4037, 815, 476, 276, 2764, 1556, 269, 276, 2483, 8698, 9509, 11657, 692, 346, 314, 15165, 21574, 300, 20687, 9948, 10926, 2162, 1548, 1053, 616, 6031, 692, 1892, 1306, 513, 1699, 2875, 593, 713, 536, 17056, 1908, 326, 5573, 13374, 267, 594, 16686, 2390, 6092, 15552, 267, 1141, 594, 666, 1265, 1353, 2200, 585, 5176, 782, 1250, 6030, 267, 1205, 2228, 948, 689, 21493, 476, 2190, 270, 278, 267, 543, 1256, 2671, 1250, 2025, 3785, 267, 4574, 267, 543, 11000, 4967, 609, 824, 1053, 780, 298, 597, 534, 13527, 2160, 16737, 3427, 540, 6355, 2048, 1704, 267, 6092, 15552, 2902, 692, 1892, 594, 3112, 1256, 4766, 875, 1454, 6092, 15552, 5280, 803, 713, 4832, 269, 898, 779, 5963, 1831, 1945, 594, 666, 2141, 7048, 593, 543, 948, 803, 269, 769, 519, 1439, 267, 594, 729, 711, 1152, 2111, 547, 7639, 4832, 5049, 267, 855, 594, 729, 2111, 547, 8853, 7064, 547, 6092, 15552, 780, 291, 3570, 2160, 540, 12425, 2048, 1704, 267, 6092, 15552, 2902, 692, 1892, 634, 2702, 547, 1569, 1022, 6280, 779, 2200, 998, 6092, 15552, 9863, 17170, 538, 1250, 2013, 269, 594, 729, 3297, 593, 570, 592, 2033, 17440, 543, 2965, 1031, 17459, 6369, 779, 2326, 547, 948, 803, 1847, 4464, 543, 1205, 3388, 1927, 593, 942, 780, 297, 650, 570, 592, 2033, 2160, 2048, 1626, 267, 6092, 15552, 2902, 0, 258, 26344, 5852, 948, 10371, 1862, 2496, 272, 269, 1403, 16009, 589, 815, 562, 16009, 645, 2073, 5609, 589, 815 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1012, 8617, 1436, 19336, 543, 966, 528, 517, 16211, 25373, 692, 1103, 713, 1770, 267, 649, 786, 2263, 513, 4241, 1523, 538, 2780, 5075, 543, 3239, 4393, 1572, 513, 2878, 10585, 1436, 5119, 1262, 269, 901, 5119, 568, 1031, 547, 5347, 856, 606, 3239, 610, 513, 1305, 540, 1239, 676, 4227, 519, 3604, 1063, 15231, 2609, 269, 1677, 1174, 875, 513, 2834, 1436, 5119, 1568, 267, 649, 1101, 991, 547, 1865, 519, 1523, 540, 513, 2878, 309, 528, 517, 16211, 7470, 1262, 780, 2162, 966, 528, 517, 16211, 25373, 692, 288, 966, 528, 517, 16211, 7470, 568, 513, 1259, 540, 12270, 513, 2230, 883, 4525, 1759, 593, 519, 3845, 547, 1808, 2798, 267, 1634, 607, 2878, 338, 2572, 1262, 269, 3962, 3148, 267, 1572, 513, 2878, 309, 528, 517, 16211, 1591, 1262, 267, 3568, 782, 519, 2798, 6251, 547, 922, 3135, 982, 547, 1022, 824, 3135, 269, 966, 528, 517, 16211, 21870, 616, 1031, 538, 1585, 4610, 267, 1519, 2780, 12449, 267, 4683, 4058, 267, 543, 1256, 7350, 780, 1103, 938, 2796, 267, 649, 786, 946, 513, 966, 528, 517, 16211, 7470, 547, 7941, 606, 3239, 883, 19641, 543, 3313, 519, 15231, 19641, 585, 1142, 18920, 269, 901, 786, 948, 721, 1711, 513, 2834, 1436, 5119, 547, 5347, 856, 519, 3239, 780, 2162, 8617, 1436, 19336, 692, 288, 2834, 1436, 5119, 568, 513, 4009, 5119, 1031, 547, 2834, 1125, 267, 610, 5347, 267, 513, 1305, 540, 1239, 269, 769, 938, 2013, 267, 649, 786, 946, 621, 547, 5347, 856, 606, 3239, 676, 4227, 519, 3604, 1063, 15231, 19641, 780, 2414, 1711, 513, 2834, 1436, 5119, 267, 649, 1101, 991, 547, 5173, 519, 2878, 10585, 1436, 12035, 1262, 585, 1142, 18920, 269, 1452, 12035, 3313, 875, 1454, 3310, 1142, 18920, 814, 593, 922, 12543, 269, 769, 713, 1383, 267, 649, 786, 4009, 519, 2834, 1436, 12035, 267, 607, 713, 568, 513, 1455, 2259, 538, 3239, 4393, 780, 3086, 267, 1577, 781, 1413, 693, 519, 5124, 3009, 547, 1711, 513, 2834, 1436, 5119, 269, 1284, 786, 946, 519, 17877, 5399, 267, 799, 2488, 1489, 585, 14249, 543, 14290, 538, 5124, 269, 1403, 596, 10093, 1405, 8704, 17877, 2943, 267, 596, 666, 798, 865, 676, 4881, 2387, 256, 26921, 3888, 11885, 319, 538, 513, 808, 1575, 344, 614, 21641, 610, 2387, 26921, 3888, 11885, 319, 538, 707, 12363, 780, 3499, 7090, 454, 5814, 11885, 607, 5286, 692, 3698, 1711, 318, 10585, 1436, 24624, 263, 10585, 1436, 318, 30135, 267, 18920, 318, 31371, 26092, 267, 18920, 318, 31371, 26092, 15481, 2187, 825, 8173, 825, 901, 1599, 5932, 513, 2834, 1436, 5119, 1759, 593, 519, 2016, 2834, 1436, 12035, 2676, 825, 18920, 12543, 267, 543, 18920, 12543, 2450, 780, 825, 30352, 912, 825, 2834, 1436, 318, 30135, 2433, 26998, 6783, 454, 1038, 1323, 5044, 540, 3259, 630, 20135, 7272, 1460, 1564, 264, 799, 2488, 519, 2834, 1436, 2597, 585, 1169, 18920, 538, 519, 966, 528, 517, 16211, 7470, 563, 825, 18920, 318, 31371, 26092, 2433, 26998, 6783, 454, 1038, 589, 476, 273, 291, 5044, 540, 3337, 630, 20135, 7272, 1460, 1564, 267, 3193, 318, 31371, 26092, 264, 799, 2488, 519, 4994, 540, 782, 12543, 540, 1169, 18920, 538, 454, 1038, 519, 966, 528, 517, 16211, 7470, 630, 550, 1845, 540, 910, 272, 5330, 547, 1100, 7023, 1916, 825, 18920, 318, 31371, 26092, 15481, 2433, 26998, 6783, 454, 1038, 1323, 5044, 540, 3259, 630, 20135, 7272, 1460, 1564, 264, 799, 3947, 519, 1297, 540, 12543, 540, 1169, 18920, 538, 519, 966, 528, 517, 16211, 7470, 563, 825, 29185, 825, 19641, 815, 7003, 263, 10585, 1436, 318, 30135, 2020, 825, 2834, 1436, 24624, 815, 5286, 25910, 263, 27729, 14352, 335, 1460, 1564, 267, 19641, 11723, 825, 2834, 1436, 318, 7076, 815, 2834, 1436, 318, 30135, 2878, 476, 273, 269, 271, 692, 825, 585, 1775, 538, 2039, 9638, 1460, 1564, 2187, 1038, 585, 795, 538, 2039, 9638, 31242, 318, 31371, 26092, 15481, 5157, 316, 2187, 2018, 7023, 16229, 815, 18920, 318, 31371, 26092, 5157, 267, 795, 2639, 2018, 2834, 1436, 24624, 5157, 267, 1775, 316, 6834, 2834, 1436, 318, 7076, 314, 31371, 4011, 16229, 2639, 2018, 2834, 1436, 24624, 314, 31371, 4011, 16229, 267, 7023, 16229, 316, 6834, 2834, 1436, 318, 7076, 314, 31371, 4011, 16229, 2639, 2018, 2834, 1436, 24624, 5157, 267, 7023, 16229, 316, 20699, 2834, 1436, 318, 7076, 314, 31371, 4011, 16229, 2639, 2018, 2834, 1436, 24624, 314, 31371, 4011, 16229, 267, 1775, 316, 20699, 2834, 1436, 318, 7076, 314, 31371, 4011, 16229, 6540, 825, 2132, 2834, 1436, 24624, 454, 7884, 4131, 781, 2736, 1524, 519, 3009, 1384, 272, 269, 1284, 1101, 1104, 519, 17877, 5399, 543, 5581, 513, 1599, 1572, 2387, 22056, 318, 10585, 1436, 24624, 319, 602, 3217, 1614, 7440, 281, 2387, 10585, 1436, 318, 30135, 12452, 2387, 335, 31242, 318, 31371, 26092, 12452, 543, 2387, 335, 31242, 318, 31371, 26092, 15481, 319, 563, 273, 269, 18738, 519, 1599, 267, 649, 5173, 519, 2698, 1297, 540, 19641, 543, 1711, 606, 8900, 2834, 1436, 5119, 1210, 17877, 781, 2387, 24029, 319, 1599, 563, 274, 269, 1284, 1287, 4009, 519, 2834, 1436, 12035, 1210, 519, 4082, 2387, 10585, 1436, 318, 30135, 2878, 476, 273, 269, 271, 319, 563, 275, 269, 8921, 267, 649, 621, 4733, 936, 1142, 18920, 543, 922, 12543, 1210, 29005, 585, 17787, 269, 1280, 1142, 7023, 267, 649, 9337, 519, 7222, 13366, 538, 519, 2834, 1436, 5119, 1759, 593, 519, 7023, 781, 4994, 543, 2597, 563, 276, 269, 7053, 267, 649, 2132, 519, 2834, 1436, 5119, 780, 3086, 602, 649, 723, 2813, 519, 2834, 1436, 5119, 267, 649, 666, 946, 621, 547, 5347, 856, 606, 3239, 269, 901, 3322, 14921, 519, 2834, 1436, 5119, 676, 519, 3239, 1239, 543, 1287, 3339, 1944, 519, 1267, 269, 634, 1159, 2393, 1117, 3239, 786, 723, 4389, 3604, 1063, 15231, 19641, 267, 1818, 621, 2408, 811, 7833, 543, 11617, 24886, 780, 2162, 10390, 692, 1103, 713, 1770, 267, 649, 4121, 827, 966, 528, 517, 16211, 21870, 543, 2834, 1436, 14290, 269, 1284, 8268, 875, 547, 1711, 513, 2834, 1436, 5119, 1210, 5124, 543, 519, 17877, 5399, 267, 543, 649, 5941, 875, 713, 5119, 666, 581, 1031, 547, 5347, 856, 606, 3239, 269, 1635, 1620, 891, 2035, 267, 596, 616, 1631, 835, 1900, 6251, 547, 13215, 3239, 4393, 543, 2780, 5075, 2553, 269, 5901, 3695, 267, 543, 1810, 1405, 581, 12922, 547, 4603, 609, 1114, 2834, 1436, 12035, 543, 966, 528, 517, 16211, 7470, 19383, 547, 3035, 519, 5551, 2164, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 799, 2488, 519, 4994, 540, 782, 12543, 540, 1169, 18920, 538, 26444, 1038, 519, 966, 528, 517, 16211, 7470, 630, 550, 1845, 540, 910, 272, 5330, 547, 1100, 7023, 1916, 825, 18920, 318, 31371, 26092, 15481, 2433, 26998, 6783, 344, 454, 1038, 1323, 5044, 540, 3259, 630, 20135, 7272, 1460, 1564, 264, 799, 3947, 519, 1297, 540, 12543, 540, 1169, 18920, 538, 519, 26444, 1038, 966, 528, 517, 16211, 7470, 563, 825, 29185, 825, 19641, 815, 7003, 263, 10585, 1436, 318, 30135, 2020, 825, 2834, 1436, 24624, 815, 5286, 25910, 263, 27729, 14352, 335, 1460, 1564, 267, 19641, 11723, 825, 2834, 1436, 318, 7076, 815, 2834, 1436, 318, 30135, 2878, 476, 273, 269, 271, 692, 825, 585, 1775, 538, 2039, 9638, 1460, 1564, 2187, 1038, 585, 795, 538, 2039, 9638, 31242, 318, 31371, 26092, 15481, 5157, 316, 2187, 2018, 7023, 16229, 815, 18920, 318, 31371, 26092, 5157, 267, 795, 2639, 2018, 2834, 1436, 24624, 5157, 267, 1775, 316, 6834, 2834, 1436, 318, 7076, 314, 31371, 4011, 16229, 2639, 2018, 2834, 1436, 24624, 314, 31371, 4011, 16229, 267, 7023, 16229, 316, 6834, 2834, 1436, 318, 7076, 314, 31371, 4011, 16229, 2639, 2018, 2834, 1436, 24624, 5157, 267, 7023, 16229, 316, 20699, 2834, 1436, 318, 7076, 314, 31371, 4011, 16229, 2639, 2018, 2834, 1436, 24624, 314, 31371, 4011, 16229, 267, 1775, 316, 20699, 2834, 1436, 318, 7076, 314, 31371, 4011, 16229, 6540, 825, 2132, 2834, 1436, 24624, 454, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 1394, 547, 938, 8762, 5735, 7045, 256, 4653, 649, 2811, 2469, 547, 2263, 1776, 1271, 851, 540, 707, 1560, 910, 519, 10285, 1062, 269, 1809, 1810, 1405, 5855, 267, 649, 4465, 1405, 1205, 1932, 2930, 269, 5502, 267, 1577, 781, 4952, 649, 2811, 593, 513, 9589, 3460, 998, 513, 2244, 4904, 609, 3304, 2730, 28151, 543, 25267, 2439, 5629, 2390, 513, 942, 267, 538, 513, 30152, 2244, 1572, 834, 7312, 10610, 2437, 972, 729, 513, 4190, 14860, 1634, 607, 519, 834, 11847, 8793, 3590, 1701, 901, 14860, 1185, 1079, 15999, 28151, 910, 835, 585, 8695, 543, 835, 585, 6690, 269, 1452, 28151, 941, 1753, 547, 2027, 4600, 945, 5280, 1711, 6263, 5452, 630, 1122, 7714, 264, 543, 2370, 7980, 630, 338, 11279, 6393, 2690, 519, 21031, 267, 741, 14500, 729, 1572, 519, 29191, 4115, 16836, 269, 898, 729, 9856, 539, 676, 1079, 8797, 30842, 3957, 29191, 776, 2290, 543, 29191, 776, 5565, 269, 3962, 3923, 267, 891, 15931, 30842, 5950, 606, 4212, 689, 519, 14500, 883, 513, 23090, 5757, 1572, 519, 12096, 26508, 5211, 269, 634, 5757, 9900, 5645, 519, 5798, 2509, 513, 3636, 267, 18241, 19289, 1572, 519, 654, 4861, 20066, 1141, 789, 1223, 1332, 952, 6992, 1242, 780, 3086, 1577, 781, 3643, 519, 9543, 5443, 781, 8513, 267, 1572, 570, 4382, 983, 16011, 269, 3371, 5030, 1079, 12703, 15438, 267, 4530, 525, 23413, 543, 4530, 525, 8751, 269, 1358, 1500, 2386, 547, 3132, 2178, 2370, 17199, 2281, 1572, 14203, 269, 1879, 621, 729, 942, 267, 891, 6263, 12325, 2451, 570, 4382, 983, 16011, 3842, 1279, 13740, 3056, 856, 540, 519, 4884, 6821, 2394, 789, 6603, 513, 5870, 1747, 1572, 23849, 4347, 699, 985, 22810, 269, 3245, 1934, 267, 789, 4797, 1927, 19654, 2059, 519, 1482, 13374, 2394, 789, 1558, 909, 609, 811, 2828, 693, 513, 22882, 3957, 12054, 1400, 26751, 1834, 12384, 269, 2991, 11018, 782, 741, 16167, 267, 789, 4646, 513, 3532, 7952, 4712, 585, 2962, 2439, 3719, 3314, 267, 1256, 1498, 713, 4992, 3078, 267, 891, 2694, 991, 547, 581, 6854, 2973, 543, 2635, 865, 789, 666, 798, 741, 6009, 5265, 269, 3807, 899, 875, 596, 1491, 1416, 540, 707, 5172, 11442, 14500, 610, 6830, 267, 1118, 2386, 547, 11547, 3946, 1354, 1210, 519, 19880, 267, 4235, 7899, 540, 1216, 267, 3548, 1134, 267, 3635, 5781, 267, 543, 6432, 547, 1018, 544, 20207, 543, 546, 23098, 2161, 827, 5329, 3054, 2973, 543, 2922, 269, 2334, 1259, 267, 938, 8748, 3115, 8793, 3590, 8003, 786, 2141, 3251, 6126, 543, 14762, 2439, 4517, 1631, 267, 1250, 1762, 17701, 267, 594, 4126, 596, 1745, 9599, 543, 8049, 827, 1565, 811, 827, 707, 4703, 269, 5457, 267, 1702, 568, 1379, 267, 543, 1169, 1554, 6770, 1007, 3255, 547, 3605, 1945, 5863, 256, 19402, 1985, 942, 267, 1832, 3695, 267, 1832, 15819, 267, 543, 1034, 11932, 267, 1832, 15962, 707, 6909, 4703, 269, 1635, 324, 585, 1631, 256, 0, 8620, 513, 1187, 543, 2241, 552, 19543, 9074, 593, 1412, 300, 15412, 5735, 3299, 3358, 585, 476, 276, 547, 476, 1015, 1032, 6040, 1453, 269, 8838, 585, 513, 22488, 543, 19511, 1935, 267, 5078, 585, 1360, 1762, 6267, 563, 2171, 616, 1603, 593, 3184, 1412, 308, 4088, 1388, 3590, 32035, 8339, 769, 1880, 267, 3296, 1412, 2304, 10532, 543, 16453, 19287, 23273, 540, 519, 772, 4088, 1388, 570, 847, 8339, 1284, 723, 2907, 4988, 519, 1739, 1770, 538, 713, 3296, 281, 1412, 2304, 10532, 540 ]

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

[ 2039, 540, 513, 10471, 1210, 6310, 12596, 269, 1635, 1620, 713, 1599, 267, 649, 4312, 6591, 3407, 4030, 883, 519, 1158, 540, 1239, 5108, 543, 2079, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 5814, 11885, 607, 5286, 692, 3698, 2241, 318, 2903, 24867, 267, 1611, 267, 2039, 2187, 825, 2132, 630, 11743, 910, 2039, 270, 273, 264, 2608, 5286, 269, 2158, 24867, 264, 1341, 2039, 2608, 5286, 20179, 20120, 24867, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 594, 1869, 3314, 950, 1250, 3158, 1101, 5143, 721, 827, 1200, 5868, 269, 898, 729, 899, 513, 10514, 1185, 1044, 12628, 593, 938, 1920, 269, 2701, 9364, 2141, 1044, 519, 4224, 649, 10709, 539, 593, 267, 2178, 543, 14388, 267, 855, 1631, 1352, 729, 6849, 835, 540, 519, 27162, 4554, 12959, 16697, 762, 910, 6089, 2860, 269, 8528, 2171, 941, 782, 18901, 267, 540, 1576, 267, 855, 6836, 547, 2322, 909, 12703, 8188, 585, 16474, 269, 6314, 8839, 3323, 3592, 5612, 1310, 6391, 267, 543, 602, 781, 950, 1919, 3893, 2731, 11315, 269, 634, 1592, 540, 1761, 2427, 2360, 5433, 11995, 282, 15353, 267, 4552, 2530, 267, 9854, 1862, 621, 8604, 607, 952, 1169, 2460, 540, 1200, 1272, 1131, 581, 4299, 676, 713, 2126, 269, 1656, 8197, 267, 621, 1705, 1689, 1200, 538, 2081, 9039, 540, 721, 1223, 723, 17191, 780, 4263, 1101, 267, 3388, 4682, 2687, 547, 1544, 630, 604, 972, 1256, 568, 971, 513, 3364, 607, 1412, 17839, 262, 950, 7231, 609, 1945, 607, 1395, 560, 9317, 607, 2860, 1040, 16474, 4810, 1082, 540, 1346, 23487, 539, 2589, 1107, 1352, 4503, 1200, 4190, 9221, 18133, 1225, 3149, 267, 17388, 609, 536, 8083, 540, 6446, 553, 1465, 267, 543, 1419, 6743, 27071, 269, 1809, 1018, 14281, 721, 1034, 729, 875, 1352, 17411, 891, 2591, 2212, 6823, 269, 4173, 6891, 2760, 5951, 1042, 267, 711, 2899, 269, 1403, 4376, 267, 1352, 8057, 6793, 998, 1142, 19224, 548, 267, 4742, 811, 5462, 982, 2479, 547, 10726, 519, 2068, 780, 10190, 3357, 519, 4729, 6335, 1100, 835, 4718, 4947, 269, 27933, 560, 782, 519, 2168, 24187, 267, 16474, 3459, 7680, 7096, 19260, 538, 1200, 12823, 540, 6492, 543, 9329, 269, 3767, 267, 4896, 945, 6487, 1250, 3993, 17358, 602, 1426, 814, 2141, 1044, 1200, 2648, 1893, 269, 18181, 14969, 6980, 585, 14812, 267, 4332, 17058, 267, 610, 1175, 2834, 3018, 333, 2074, 4547, 1200, 10373, 7772, 269, 1924, 4952, 938, 7104, 8710, 950, 8723, 8286, 10393, 13820, 539, 17285, 610, 15280, 547, 1200, 31370, 269, 4634, 8338, 267, 930, 11537, 3536, 2968, 30898, 792, 2406, 533, 2426, 550, 267, 4929, 1200, 4049, 11605, 780, 2005, 13264, 1250, 2295, 7487, 1200, 2057, 519, 10051, 267, 8384, 1200, 5172, 5986, 2982, 609, 17229, 18297, 1524, 1200, 3068, 1317, 1352, 14406, 1373, 2111, 547, 521, 2948, 519, 10366, 1352, 1031, 547, 1711, 269, 1284, 678, 718, 1221, 1472, 1200, 267, 3843, 1007, 10346, 543, 17408, 1136, 2025, 3283, 547, 13918, 1200, 4657, 16919, 267, 855, 4986, 5963, 5734, 519, 5544, 269, 898, 5433, 899, 1776, 16970, 9514, 689, 519, 7122, 267, 27560, 2943, 1776, 4062, 540, 1200, 3961, 2059, 609, 1200, 1072, 780, 3719, 1934, 781, 1141, 519, 1650, 3217, 513, 2490, 2509, 4126, 269, 4438, 835, 3226, 1970, 4090, 267, 16474, 1590, 1229, 909, 2614, 1648, 547, 6443, 721, 538, 519, 10051, 269, 2060, 1726, 3387, 1782, 3946, 267, 1352, 5280, 14299, 5388, 543, 13489, 27156, 267, 29379, 532, 513, 6263, 23650, 540, 1200, 5449, 1582, 269, 2334, 1554, 6825, 513, 6521, 538, 1200, 3460, 1107, 3079, 540, 2519, 9003, 593, 519, 2427, 2360, 267, 1352, 8359, 547, 1445, 593, 4466, 12257, 9624, 519, 1928, 780, 306, 869, 569, 855, 15983, 267, 16474, 9862, 547, 1200, 1007, 3339, 269, 8786, 267, 18068, 3576, 922, 17167, 267, 6028, 1200, 18604, 543, 12012, 267, 855, 621, 4769, 1405, 2736, 1200, 6891, 269, 4653, 267, 1352, 5170, 547, 2263, 11477, 1642, 2074, 609, 17105, 25525, 267, 18445, 602, 3006, 267, 1256, 519, 554, 1513, 4554, 15420, 666, 1291, 547, 9058, 4764, 28647, 269, 0, 2237, 513, 1650, 538, 519, 2511, 540, 1483, 3734, 3871, 602, 1004, 2671, 538, 15473, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 912, 18658, 616, 519, 1034, 1455, 2427, 2360, 540, 18068, 888, 763, 1034, 1455, 2427, 2360, 540, 18068, 1331, 15353, 543, 13481, 267, 4552, 2530, 267, 9854, 267, 2530, 540, 14031, 267, 13165, 610, 19228, 267, 5023, 21399, 267, 2799, 1981, 540, 5563, 267, 17350, 267, 2653, 20015, 2358, 543, 11702, 267, 543, 2242, 538, 6492, 610, 9329, 14325, 763, 1650, 2115, 547, 1331, 513, 8903, 543, 6397, 4729, 6335, 269, 2659, 2239, 1058, 13469, 609, 519, 13597, 543, 2123, 5905, 1336, 538, 8468, 5717, 269, 3417, 11541, 2621, 543, 3929, 3178, 563, 0, 17345, 5149, 281, 16217, 21961, 29972, 538, 519, 29268, 692, 8893, 476, 272, 281, 1548, 568, 513, 16217, 21961, 888, 5970, 596, 2479, 4862, 540, 513, 31403, 1354, 286, 3143, 267, 621, 781, 711, 1175, 6371, 256, 16217, 597, 625, 616, 2965, 5318, 2127, 540, 2244, 4988, 538, 7381, 21823, 543, 10477, 3552, 25154, 269, 1358, 666, 12701, 607, 2484, 607, 519, 3750, 666, 1294, 543, 1683, 5321, 585, 1082, 1114, 2831, 269, 9894, 596, 917, 602, 972, 1031, 547, 581, 6634, 540, 14143, 540, 9299, 597, 625, 1318, 1934, 538, 519, 2136, 2276, 267, 1519, 538, 519, 11068, 13523, 2829, 899, 19578, 267, 13325, 267, 18518, 267, 17857, 267, 12309, 267, 16506, 267, 16713, 267, 3345, 21241, 267, 27228, 267, 11882, 267, 3162, 21241, 267, 543, 16855, 286, 1809, 1631, 267, 1447, 982, 476, 272, 260, 540, 1346, 3312, 9299, 597, 625, 2611, 269, 2334, 781, 1946, 621, 781, 1271, 585, 721, 547, 1451, 827, 873, 543, 1265, 2081, 547, 2149, 1018, 781, 2451, 780, 8893, 476, 273, 281, 1215, 2052, 1284, 8073, 3776, 13574, 22387, 16217, 21961, 12567, 888, 3086, 602, 649, 1174, 1018, 513, 31403, 568, 267, 1577, 781, 2911, 827, 875, 649, 666, 3142, 930, 540, 602, 5898, 883, 938, 1378, 1394, 29288, 676, 2870, 513, 9910, 31403, 4677, 256, 3807, 4952, 2348, 707, 1360, 1378, 2370, 4062, 540, 519, 4279, 26111, 1318, 3544, 707, 6885, 269, 1677, 1376, 267, 3442, 513, 13566, 5544, 538, 707, 13452, 610, 8708, 12202, 1858, 269, 3973, 267, 2824, 5065, 2371, 971, 607, 13711, 598, 1030, 869, 619, 267, 3109, 31991, 12246, 753, 267, 543, 2462, 17824, 652, 655, 6371, 269, 1452, 2010, 540, 2371, 786, 4482, 17984, 267, 5017, 267, 543, 824, 7320, 547, 707, 4677, 269, 5269, 2386, 547, 2030, 873, 2673, 1927, 865, 602, 789, 1332, 2178, 543, 1489, 1142, 824, 269, 1656, 1810, 1405, 7340, 547, 1216, 873, 5781, 1282, 3819, 28542, 780, 8893, 476, 274, 281, 14171, 5516, 540, 2659, 16217, 21961, 12567, 454, 9617, 899, 1022, 824, 1826, 540, 4677, 267, 2921, 1416, 540, 707, 31403, 4677, 1797, 5329, 606, 3750, 856, 585, 18047, 543, 9427, 873, 16425, 269, 1411, 1522, 849, 991, 547, 7941, 707, 21064, 2371, 1169, 1906, 1296, 547, 1832, 873, 2635, 269, 3958, 267, 2015, 6028, 6170, 5810, 7555, 2429, 5162, 3275, 1107, 713, 2488, 1898, 1426, 2959, 543, 12062, 585, 7320, 256, 5457, 547, 7747, 707, 4677, 1419, 282, 5469, 799, 2371, 3100, 6126, 543, 14762, 267, 543, 799, 3283, 949, 2154, 811, 3007, 269, 901, 1259, 267, 596, 1831, 606, 5483, 12403, 731, 540, 707, 31403, 522, 12118, 780, 3528, 1565, 827, 9299, 597, 625, 543, 2870, 707, 1378, 9910, 31403, 10651, 267, 711, 1152, 786, 596, 723, 513, 4190, 2230, 4904, 609, 7524, 4778, 543, 4241, 7068, 267, 855, 596, 786, 849, 3565, 9797, 2509, 8497, 891, 2565, 8134, 269, 8414, 12202, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1626, 269, 4962, 269, 1708, 273, 910, 7831, 8242, 593, 281, 476, 6860, 269, 5400, 269, 1708, 274, 454, 5263, 306, 10396, 14877, 1923, 476, 1240, 266, 630, 866, 266, 610, 476, 2641, 266, 1141, 2838, 264, 1923, 570, 261, 290, 779, 15233, 1923, 12232, 538, 31650, 267, 8121, 267, 11404, 267, 2910, 267, 9823, 267, 18919, 267, 21781, 267, 14889, 267, 23794, 267, 918, 312, 267, 10790, 267, 11022, 267, 24696, 267, 30400, 267, 12135, 267, 27020, 267, 17252, 267, 27359, 267, 12924, 267, 28679, 267, 15528, 267, 10758, 267, 681, 296, 267, 14662, 267, 12676, 267, 29031, 267, 570, 301, 267, 29255, 267, 654, 296, 267, 654, 309, 267, 1299, 25723, 563, 23087, 540, 6465, 295, 3266, 8871, 334, 32011, 454, 289, 517, 639, 281, 3493, 21627, 6474, 909, 547, 1269, 7742, 454, 23220, 334, 8943, 281, 23817, 2316, 301, 454, 13510, 9005, 538, 782, 2829, 538, 799, 519, 1587, 568, 3656, 543, 3742, 454, 6624, 2053, 667, 12396, 8924, 543, 5026, 9248, 786, 3895, 741, 1007, 6075, 1596, 657, 782, 936, 519, 3896, 610, 813, 267, 855, 602, 729, 711, 519, 2013, 609, 519, 6465, 295, 3266, 813, 269, 1284, 941, 18516, 952, 649, 1131, 1256, 4309, 513, 1007, 6075, 22429, 2394, 649, 1185, 835, 4757, 539, 547, 721, 1310, 2870, 938, 2272, 269, 9122, 593, 922, 13598, 2470, 267, 649, 616, 14322, 713, 568, 519, 3009, 602, 568, 1373, 4757, 539, 547, 782, 5561, 547, 1711, 606, 2272, 1510, 513, 840, 1410, 12371, 1596, 334, 3009, 789, 1336, 11992, 563, 32381, 267, 1007, 5561, 786, 4309, 513, 16005, 6474, 540, 909, 547, 1269, 7742, 538, 6465, 295, 3266, 22429, 6666, 950, 789, 946, 519, 3009, 543, 1118, 741, 1101, 16005, 269, 634, 22429, 6666, 1281, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 717, 19181, 2894, 5058, 1315, 13636, 1315, 29268, 630, 8656, 267, 14889, 267, 5442, 267, 23794, 267, 24696, 267, 30400, 267, 17834, 267, 27020, 267, 17252, 267, 27846, 267, 12676, 267, 654, 296, 264, 1315, 16217, 21961, 29972, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 7201, 519, 24588, 540, 6801, 267, 513, 1895, 540, 2828, 10356, 1472, 513, 11523, 1782, 3786, 13933, 267, 882, 5109, 519, 694, 1066, 640, 540, 2470, 269, 29321, 1194, 538, 519, 2295, 540, 519, 18137, 267, 789, 2220, 11474, 2984, 936, 10425, 267, 741, 17409, 16079, 532, 998, 519, 1869, 1145, 540, 519, 3781, 269, 7324, 873, 2893, 25455, 267, 945, 267, 7429, 1010, 15274, 267, 1336, 24176, 2476, 689, 519, 554, 755, 548, 543, 11861, 548, 540, 2749, 1272, 269, 3571, 22401, 1743, 26661, 2509, 519, 4158, 2989, 1163, 534, 572, 3564, 741, 13122, 924, 607, 646, 11432, 1229, 519, 2856, 540, 10655, 811, 3595, 6229, 780, 257, 21790, 952, 594, 11090, 2059, 8119, 513, 5639, 29169, 1010, 4555, 269, 898, 20705, 547, 8861, 267, 513, 8284, 27423, 540, 9205, 9035, 269, 8528, 297, 820, 11688, 18469, 4090, 3320, 269, 1261, 15874, 1200, 2754, 855, 849, 12595, 3106, 1657, 782, 3116, 269, 2991, 20604, 1010, 3681, 267, 646, 14452, 267, 834, 306, 675, 3364, 267, 855, 1577, 781, 6529, 1927, 543, 3251 ]

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

[ 12798, 543, 14299, 6853, 6329, 563, 4002, 519, 824, 1688, 267, 3032, 600, 541, 753, 616, 811, 838, 20160, 543, 6899, 585, 2110, 15143, 610, 2267, 2358, 267, 543, 741, 13719, 8908, 2636, 873, 547, 1569, 811, 13719, 7297, 563, 1103, 1840, 267, 621, 568, 1271, 547, 2015, 519, 2450, 540, 519, 6077, 596, 1616, 563, 306, 841, 2692, 1846, 3335, 2097, 538, 513, 3099, 540, 7306, 267, 689, 1507, 546, 532, 327, 625, 547, 1804, 586, 778, 1206, 267, 1247, 3032, 600, 541, 753, 3335, 2097, 538, 3677, 7306, 563, 22102, 518, 13743, 2692, 1846, 616, 4998, 585, 2582, 26370, 22892, 267, 1247, 3677, 13743, 2692, 1846, 616, 1732, 585, 3677, 2516, 540, 1004, 563, 299, 24147, 3032, 600, 541, 753, 267, 593, 519, 824, 1688, 267, 616, 3501, 585, 1346, 3168, 585, 513, 838, 20160, 543, 6899, 6077, 585, 2267, 2358, 610, 19278, 563, 7661, 267, 621, 568, 849, 1271, 547, 2015, 519, 1942, 540, 519, 6077, 543, 1022, 2404, 5826, 3790, 563, 306, 841, 2692, 1846, 616, 3335, 811, 10097, 982, 3032, 600, 541, 753, 267, 2523, 585, 3677, 8043, 563, 4913, 267, 3032, 600, 541, 753, 3335, 2154, 1447, 5826, 982, 13743, 2692, 1846, 267, 543, 741, 12242, 26083, 338, 1118, 873, 811, 14388, 1996, 2178, 12798, 543, 14299, 6853, 7297, 563, 14454, 267, 1312, 13743, 2692, 1846, 543, 3032, 600, 541, 753, 723, 741, 1378, 5383, 543, 11393, 267, 865, 621, 779, 1271, 547, 2015, 707, 1367, 2115, 1354, 14045, 799, 1826, 540, 6077, 568, 1318, 585, 596, 563, 13706, 519, 1826, 540, 22892, 596, 1544, 547, 798, 267, 519, 2450, 540, 519, 6077, 267, 543, 519, 1942, 540, 519, 6077, 543, 1022, 2404, 5826, 3790, 1354, 1818, 513, 3375, 563, 2691, 621, 2501, 547, 22892, 267, 972, 616, 1082, 2188, 547, 2015, 950, 3843, 547, 6430, 1063, 513, 13743, 29539, 543, 513, 3032, 600, 15546, 563, 13828, 2010, 540, 8043, 2709, 5383, 543, 11393, 267, 865, 922, 1271, 547, 2015, 707, 1367, 2115, 1354, 1818, 513, 3375, 563, 2690, 3236, 267, 952, 596, 516, 3168, 585, 513, 10935, 602, 568, 5488, 543, 811, 23603, 762, 267, 1287, 513, 13743, 29539, 949, 581, 707, 1655, 4781, 563, 306, 841, 2692, 1846, 3335, 723, 835, 15958, 543, 513, 2620, 1183, 601, 602, 2337, 547, 24644, 873, 538, 519, 1216, 267, 1818, 873, 4998, 585, 811, 4359, 22892, 563, 4002, 519, 824, 1688, 267, 3032, 600, 541, 753, 616, 1454, 811, 7123, 1813, 547, 741, 1079, 6252, 26083, 338, 543, 3668, 540, 513, 1183, 601, 267, 3850, 873, 547, 3362, 6330, 13719, 7297, 543, 5356, 513, 6899, 11878, 585, 2267, 2358, 563, 5445, 849, 4043, 547, 581, 811, 838, 20160, 982, 13743, 2692, 1846, 267, 1818, 873, 4998, 585, 3677, 2516, 610, 3885, 563, 27407, 267, 519, 3375, 1063, 513, 13743, 29539, 543, 3032, 600, 15546, 1630, 2812, 1524, 547, 707, 1367, 2115, 543, 7375, 563, 2252, 596, 516, 3168, 585, 513, 5488, 543, 811, 23603, 762, 10935, 267, 1287, 513, 13743, 29539, 949, 581, 519, 1318, 3903, 563, 4913, 267, 952, 596, 516, 3168, 585, 513, 811, 838, 20160, 543, 6899, 11878, 267, 1287, 513, 3032, 600, 15546, 949, 581, 519, 1732, 4781, 563, 21132, 1271, 547, 9260, 519, 5383, 543, 11393, 540, 1142, 6077, 1354, 1818, 513, 3375, 563, 1103, 3932, 267, 13743, 2692, 1846, 543, 3032, 600, 541, 753, 616, 1079, 1360, 1114, 2010, 540, 22892, 8043, 602, 1142, 2709, 741, 1378, 2189, 5383, 543, 11393, 4470, 593, 707, 1367, 2115, 563, 306, 841, 2692, 1846, 616, 3335, 5488, 543, 811, 26227, 267, 1247, 3032, 600, 541, 753, 616, 811, 7123, 543, 838, 20160, 563, 27407, 267, 519, 1655, 1826, 540, 6077, 585, 596, 786, 4096, 593, 519, 1826, 540, 22892, 596, 1544, 547, 798, 543, 519, 2115, 540, 707, 22892, 12284, 563, 13706, 782, 540, 519, 2188, 602, 723, 1044, 5941, 543, 1118, 606, 5483, 3375, 602, 596, 666, 581, 8746, 538, 269, 0, 7312, 1345, 267, 769, 1250, 6644, 602, 1913, 856, 540, 5681, 518, 1014, 568, 2965, 811, 9921, 543, 6671, 607, 3379, 547, 1913, 1055, 23826, 610, 15349, 454, 22832, 5783, 1189, 269, 594, 10146, 1346, 10274, 1932, 8164, 1775, 2119, 513, 4819, 269, 10261, 1652, 547, 2161, 267, 972, 568, 1100, 2322, 538, 9758, 1686, 3478, 971, 607, 585, 1383, 513, 1434, 10340, 269, 634, 4890, 1152, 1483, 3105, 13120, 799, 1223, 6148, 1832, 519, 14897, 766, 689, 971, 607, 585, 3236, 513, 10340, 616, 9090, 519, 1702, 540, 519, 1608, 1457, 320, 18962, 2476, 689, 18578, 320, 543, 4061, 30192, 1472, 476, 3583, 267, 821, 4627, 8536, 645, 5861, 563, 285, 6624, 7064, 14320, 2348, 32232, 8885, 269, 14568, 267, 19320, 1250, 1433, 3436, 8181, 5573, 538, 519, 476, 272, 560, 513, 6712, 540, 519, 4832, 1014, 2528, 267, 594, 993, 6158, 827, 1991, 547, 3436, 306, 3779, 1284, 607, 1134, 607, 519, 1034, 824, 540, 891, 269, 3436, 3436, 2171, 2446, 3875, 2798, 593, 519, 4984, 269, 594, 2907, 4628, 917, 602, 789, 3436, 323, 573, 333, 1406, 3972, 513, 10715, 1175, 1310, 2669, 267, 6382, 3102, 713, 1880, 16938, 5158, 14872, 568, 2965, 3436, 2865, 552, 2548, 344, 8164, 4666, 269, 594, 6999, 547, 1174, 2012, 540, 519, 2025, 10971, 267, 543, 596, 949, 3436, 4820, 7781, 3390, 3823, 741, 1825, 19133, 538, 519, 1259, 616, 7058, 547, 1205, 519, 1272, 3436, 3286, 1310, 12955, 269, 3436, 3436, 1103, 6984, 952, 621, 596, 666, 3362, 1174, 513, 1906, 1919, 2509, 9998, 2629, 10034, 883, 519, 3436, 8999, 1067, 1014, 2486, 267, 4010, 875, 729, 8197, 7058, 4742, 519, 1007, 2777, 267, 519, 5767, 5493, 2167, 267, 519, 4195, 3436, 291, 27903, 267, 6382, 7102, 1753, 2861, 3693, 267, 594, 6557, 15020, 5418, 21724, 563, 296, 993, 20994, 269, 594, 993, 2141, 14775, 513, 2603, 811, 1808, 2055, 982, 3274, 865, 621, 269, 594, 666, 711, 798, 519, 2816, 689, 18997, 707, 563, 296, 1131, 2303, 799, 596, 11601, 543, 1224, 606, 5440, 17266, 25441, 1530, 924, 2500, 476, 1960, 279, 2189, 267, 9737, 519, 20837, 338, 267, 540, 519, 16452, 570, 4669, 1194, 913, 269, 6904, 17404, 2907, 5340, 519, 1394, 2666, 1382, 602, 596, 2491, 543, 596, 666, 621, 25361, 1010, 3391, 563, 285, 19743, 281, 1411, 786, 1265, 13761, 707, 1378, 1160, 1729, 4149, 10179, 1014, 18500, 4886, 26488, 3436, 19986, 268, 19986, 335, 1137, 2899, 1586, 7747, 4010, 1018, 2152, 1131, 17663, 7623, 2474, 269, 634, 4195, 1007, 3436, 21353, 545, 2165, 2429, 519, 1592, 729, 575, 19487, 2048, 3691, 770, 685, 630, 8615, 2048, 332, 20488, 685, 1341, 22678, 2048, 1729, 2285, 685, 1040, 898, 568, 3436, 2254, 1250, 3483, 547, 24895, 519, 4195, 13093, 2045, 1599, 543, 922, 1378, 4214, 607, 3436, 685, 332, 20488, 685, 786, 581, 5033, 656, 1227, 827, 21031, 685, 562, 21451, 543, 596, 949, 32364, 1341, 22678, 5526, 3436, 553, 513, 20310, 5610, 693, 1101, 8289, 269, 11048, 568, 711, 1360, 6654, 952, 519, 3436, 7474, 5654, 693, 519, 6216, 1007, 524, 2317, 6134, 4191, 540, 32364, 267, 22678, 543, 596, 949, 575, 19487, 269, 7183, 32364, 610, 22678, 7363, 3436, 1326, 1154, 16545, 689, 519, 524, 2317, 6134, 16315, 540, 575, 19487, 799, 5526, 547, 1831, 1776, 3436, 1440, 10675, 5365, 3294, 563, 763, 9275, 2474, 543, 2175, 729, 8197, 19775, 1134, 1354, 519, 4195, 1007, 2854, 10291, 269, 634, 1004, 540, 835, 779, 2854, 10291, 1185, 4121, 6216, 1007, 11913, 2474, 1813, 547, 519, 1249, 796, 15842, 5287, 13093, 2438, 9696, 602, 723, 1044, 1100, 3476, 12649, 2509, 519, 6712, 563, 285, 1403, 865, 10683, 1522, 723, 11613, 4986, 547, 3436, 22056, 547, 519, 813, 749, 566, 267, 621, 1175, 2813, 606, 3693, 540, 519, 6091, 1775, 6049, 1289, 3436, 685, 3832, 560, 9957, 901, 1131, 581, 9672, 1317, 540, 519, 23826, 1183, 10964, 2048, 3832, 560, 685, 543, 18584, 3436, 307, 24642, 880, 575, 690, 9926, 2048, 3832, 560, 9957, 3131, 522, 827, 15349, 8360, 2119, 7074, 2348, 5884, 637, 529, 269, 3436, 288, 17053, 2442, 2707, 585, 519, 21777, 5072, 575, 629, 267, 1183, 321, 543, 596, 786, 575, 690, 949, 711, 581, 607, 1134, 3436, 14551, 547, 1265, 269, 15952, 1007, 5681, 518, 1014, 575, 629, 568, 3489, 762, 593, 23826, 2367, 3436, 1150, 12849, 18637, 328, 543, 717, 1987, 267, 7132, 593, 21519, 28763, 657, 630, 13768, 1599, 918, 19487, 1070, 543, 713, 3436, 6577, 1774, 22902, 2275, 4554, 539, 2043, 269, 9747, 519, 910, 534, 2500, 593, 519, 5681, 518, 1014, 575, 19487, 11148, 547, 581, 3436, 16591, 21879, 596, 547, 9090, 3029, 21371, 269, 630, 3080, 1776, 910, 16591, 543, 910, 657, 568, 2965, 740, 915, 2526, 21879, 525, 883, 519, 3436, 1492, 23826, 1893, 1916, 6701, 972, 3339, 5639, 20675, 845, 4031, 596, 547, 3095, 23826, 2048, 651, 10964, 685, 609, 15349, 2048, 326, 690, 9926, 685, 286, 27870, 3723, 540, 519, 23826, 2474, 267, 5469, 519, 3597, 2048, 330, 30249, 4083, 685, 4214, 2048, 331, 31258, 685, 950, 596, 1413, 693, 519, 21859, 3121, 5463, 1910, 779, 3391, 901, 1007, 772, 1537, 545, 5019, 565, 4833, 281, 589, 9488, 29766, 267, 661, 340, 1503, 3907, 320, 267, 2349, 334, 4040, 2023, 267, 476, 1960, 271, 563, 763, 21777, 21879, 910, 320, 2010, 17205, 610, 2535, 658, 5220, 538, 5681, 518, 1014, 267, 3976, 7311, 519, 7954, 267, 519, 562, 21451, 610, 28244, 6157, 616, 519, 3510, 835, 547, 575, 11274, 267, 1256, 1498, 5681, 518, 1014, 814, 1100, 3226, 8231, 267, 609, 3110, 267, 2048, 1729, 588, 1074, 8730, 543, 575, 889, 267, 2048, 1729, 1796, 17483, 307, 24642, 880, 12851, 547, 519, 1325, 3279, 545, 6863, 14077, 454, 1607, 1058, 24901, 930, 23826, 1913, 949, 723, 4359, 856, 6361, 513, 1762, 2186, 540, 5681, 518, 1014, 269, 4065, 540, 707, 1378, 1942, 1055, 30827, 1689, 4362, 707, 3009, 540, 8105, 2477, 568, 3226, 2757, 543, 11259, 1996, 7369, 269, 0, 8138, 338, 573, 344, 6030, 543, 14104, 4755, 547, 581, 2081, 602, 6608, 6175, 519, 3790, 2404, 609, 8757, 1978, 10700, 269, 1452, 666, 1491, 1346, 1106, 540, 7482, 24307, 267, 10279, 598, 947, 687, 610, 5310, 15314, 267, 543, 824, 1489, 1949, 563, 23744, 267, 13564, 344, 3292, 543, 14104, 2816, 547, 13468, 22237, 2042, 971, 607, 2344, 17418, 676, 16715, 519, 1942, 540, 6721, 5370, 610, 2533, 269, 4340, 547, 2489, 3666, 3069, 267, 950, 513, 6330, 547, 891, 16921, 3549, 616, 17528, 543, 4929, 513, 2603, 540, 610, 711, 2614, 2504, 547, 4755, 538, 513, 1880, 1858, 267, 1310, 602, 972, 568, 513, 10421, 585, 513, 13564, 344, 547, 3142, 3761, 909, 547, 513, 1377, 602, 1131, 581, 16363, 6099, 676, 519, 2229, 563, 15703, 8128, 8044, 602, 2883, 6351, 616, 1932, 3902, 344, 267, 602, 789, 798, 7753, 6456, 3790, 267, 543, 713, 2797, 13755, 4926, 666, 1118, 782, 540, 873, 796, 3430, 847, 633, 543, 1102, 12787, 811, 2042, 593, 1004, 982, 789, 616, 2731, 4502, 269, 3958, 2073, 1082, 24192, 5855, 602, 24307, 4043, 711, 547, 3035, 519, 3853, 789, 616, 2966, 547, 563, 14300, 540, 24307, 6451, 912, 17445, 7482, 19132, 547, 4213, 630, 7945, 607, 7791, 1648, 24307, 994, 8802, 17419, 3800, 602, 948, 3549, 543, 6080, 2333, 267, 971, 607, 10279, 17099, 610, 15314, 563, 8802, 2827, 585, 4213, 602, 1711, 4324, 538, 519, 2197, 543, 3565, 547, 519, 1857, 1434, 610, 5310, 519, 3084, 4346, 607, 513, 2898, 267, 1519, 1072, 1416, 10279, 17429, 2388, 563, 15761, 2400, 24307, 4043, 547, 581, 2352, 547, 2697, 543, 1331, 5180, 12671, 1489, 1949, 971, 607, 9513, 3902, 8060, 267, 5092, 9993, 267, 543, 7182, 2390, 2344, 2744, 1569, 547, 563, 1103, 590, 1547, 535, 4920, 8646, 267, 519, 2199, 16926, 7110, 1505, 2488, 7616, 547, 3382, 519, 7934, 3823, 519, 5665, 15271, 6383, 676, 3274, 10283, 3466, 543, 519, 1483, 5665, 3790, 585, 1483, 10040, 602, 6411, 1970, 13867, 21427, 543, 5924, 11215, 610, 2189, 2115, 535, 537, 548, 269, 634, 1982, 1131, 711, 723, 922, 1360, 1378, 4747, 25046, 10148, 267, 4470, 3079, 693, 519, 4747, 10148, 13615, 547, 2921, 851, 7835, 685, 3854, 14104, 269, 0, 281, 1215, 513, 21824, 1652, 1520, 643, 14515, 27439, 3127, 779, 476, 272, 560, 4658, 779, 4860, 27117, 18830, 519, 3703, 1948, 19328, 301, 11246, 306, 1948, 14532, 5463, 3547, 1354, 1018, 938, 1686, 2835, 2015, 547, 581, 519, 2048, 5575, 2782, 540, 14412, 685, 630, 6977 ]

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

[ 9806, 267, 543, 9431, 10220, 729, 849, 2442, 269, 901, 10522, 519, 1713, 3310, 540, 2123, 2418, 540, 5411, 540, 1970, 17263, 20730, 593, 741, 1870, 982, 1776, 2359, 1826, 899, 519, 11262, 543, 7307, 676, 29929, 610, 2229, 269, 4746, 267, 6306, 689, 2804, 2188, 267, 972, 616, 824, 17697, 10256, 540, 3039, 2359, 2853, 799, 1058, 6161, 2417, 2090, 563, 5804, 519, 4681, 543, 8753, 267, 6554, 1058, 11168, 811, 593, 519, 2825, 7881, 540, 11319, 519, 3039, 16786, 982, 519, 16312, 13917, 2640, 799, 568, 4922, 3262, 1851, 20730, 538, 713, 1353, 563, 10702, 3609, 3527, 1058, 849, 6161, 519, 991, 547, 1711, 513, 20009, 5790, 585, 20730, 547, 5912, 689, 519, 13416, 7443, 12366, 1436, 31249, 344, 547, 519, 1604, 543, 1870, 6940, 16786, 540, 519, 2197, 543, 519, 8608, 563, 7661, 267, 9431, 8041, 971, 607, 16501, 543, 715, 14011, 991, 513, 811, 3102, 14791, 621, 10719, 776, 982, 519, 30060, 2834, 3643, 799, 1281, 711, 8524, 519, 4295, 2152, 540, 3039, 1870, 2853, 540, 20730, 563, 1692, 1677, 5192, 634, 13159, 7698, 1280, 24167, 5682, 13756, 27870, 19793, 1324, 12655, 4886, 769, 12182, 1564, 454, 763, 13159, 7698, 786, 581, 13329, 547, 1411, 538, 3807, 476, 273, 17778, 454, 30022, 1299, 11822, 7498, 13014, 513, 16353, 18734, 610, 623, 5308, 32237, 540, 19238, 355, 276, 267, 1822, 547, 1022, 540, 519, 10055, 12989, 454, 347, 28398, 3143, 12727, 476, 32146, 1911, 32699, 272, 2008, 25200, 281, 6341, 874, 2088, 9142, 2008, 347, 28398, 7392, 281, 7351, 2008, 347, 28398, 3143, 12727, 476, 14338, 4649, 272, 25834, 273, 2008, 25200, 281, 6341, 874, 2088, 9142, 2008, 347, 28398, 7392, 281, 7351, 2008, 7775, 14160, 27912, 28313, 1677, 9796, 2060, 1546, 4226, 9315, 454, 347, 19489, 14160, 296, 19006, 744, 308, 4811, 22432, 715, 5456, 2207, 8656, 2008, 347, 12710, 27912, 28313, 1677, 9796, 2060, 1546, 4226, 9315, 18121, 736, 10245, 347, 294, 11190, 2793, 1107, 5269, 32237, 540, 476, 1911, 717, 9391, 547, 24211, 301, 7720, 27770, 267, 476, 271, 4649, 4375, 278, 8517, 276, 267, 19958, 14642, 629, 1393, 344, 2008, 306, 754, 519, 11374, 19672, 593, 29243, 7343, 630, 476, 32146, 275, 4343, 27183, 9032, 264, 2991, 32237, 454, 268, 32237, 19672, 454, 268, 19478, 17372, 454, 268, 24167, 5682, 13756, 27870, 19793, 1324, 12655, 4886, 769, 12182, 1564, 454, 763, 13159, 7698, 4024, 2142, 13329, 1677, 2659, 19478, 17372, 2991, 25547, 1516, 2659, 19672, 454, 307, 1299, 595, 15233, 454, 1607, 1382, 1570, 968, 2750, 600, 1456, 5682, 13756, 27870, 19793, 1324, 12655, 4886, 769, 12182, 1564, 892, 568, 585, 1382, 5301, 543, 1058, 581, 1031, 607, 513, 3391, 538, 3384, 707, 1382, 1788, 1315, 29519, 960, 269, 1280, 1100, 2601, 1058, 596, 5299, 2262, 585, 2262, 630, 14620, 520, 574, 264, 607, 7663, 874, 2088, 2593, 269, 978, 786, 711, 581, 25964, 585, 1022, 945, 23652, 519, 1570, 563, 763, 2832, 540, 3246, 713, 1570, 568, 547, 2569, 519, 2566, 540, 3001, 689, 835, 1153, 5399, 547, 1776, 782, 538, 519, 2012, 540, 10478, 585, 1382, 2326, 269, 901, 3028, 568, 3656, 1317, 267, 782, 5238, 11863, 741, 1053, 547, 1224, 3105, 3785, 267, 2835, 267, 4930, 610, 4574, 1247, 3384, 741, 1378, 1568, 269, 4340, 547, 21388, 21890, 517, 968, 5472, 3860, 960, 13976, 593, 1018, 3357, 1354, 9731, 338, 26241, 2088, 2593, 269, 978, 568, 1152, 3246, 713, 1570, 968, 2750, 600, 1456, 5682, 13756, 27870, 19793, 1324, 12655, 4886, 769, 12182, 1564, 892, 607, 513, 4704, 585, 707, 1382, 269, 634, 1957, 1058, 581, 1031, 607, 513, 3391, 610, 5943, 585, 707, 1378, 1957, 269, 634, 9115, 540, 713, 1957, 1058, 581, 2111, 547, 948, 596, 538, 10451, 1007, 2093, 543, 4555, 585, 707, 1378, 1382, 269, 2422, 621, 607, 513, 5583, 3483, 1152, 269, 0, 22913, 540, 3163, 630, 5960, 994, 18404, 11136, 1108, 543, 8693, 3163, 454, 5141, 10796, 723, 513, 1804, 1764, 593, 3047, 779, 5982, 6578, 267, 543, 4352, 972, 568, 513, 29264, 762, 2179, 540, 1382, 593, 873, 267, 972, 616, 1869, 24604, 7282, 875, 32721, 267, 6384, 267, 543, 27829, 9940, 2360, 1764, 741, 2890, 874, 9713, 3601, 269, 634, 3668, 540, 22423, 2079, 593, 4963, 6350, 543, 6404, 25686, 6531, 9013, 2188, 267, 1775, 4318, 1421, 2837, 267, 3448, 11195, 267, 7299, 6991, 267, 543, 27829, 1297, 9830, 267, 7182, 938, 1620, 540, 875, 891, 3601, 1764, 741, 2890, 874, 9713, 3601, 543, 267, 4061, 267, 635, 27289, 875, 789, 616, 20533, 1369, 2916, 3631, 269, 2060, 5722, 8184, 11044, 14102, 676, 519, 2817, 3163, 7690, 630, 10064, 293, 264, 543, 2947, 14102, 676, 519, 2817, 17224, 517, 2246, 923, 543, 6611, 10029, 630, 22498, 1070, 649, 30387, 4963, 6350, 12269, 883, 2947, 4720, 11775, 269, 1284, 1287, 5635, 519, 22085, 293, 10471, 547, 20533, 1239, 689, 519, 2817, 4741, 585, 27321, 3194, 630, 10998, 2752, 264, 7991, 22014, 1877, 7844, 476, 277, 630, 290, 4456, 277, 1040, 1284, 1265, 602, 519, 4720, 11775, 6542, 2312, 3604, 1063, 835, 1776, 10834, 602, 621, 568, 1271, 547, 1491, 873, 883, 2272, 950, 7421, 519, 27829, 9940, 2360, 593, 4963, 6350, 12269, 269, 3958, 267, 649, 1459, 513, 1007, 1505, 547, 5094, 6404, 25686, 12269, 883, 2185, 5912, 11775, 799, 2636, 721, 547, 2099, 741, 27104, 9713, 3601, 269, 4635, 713, 1505, 543, 9236, 621, 547, 513, 6508, 10471, 602, 11225, 11775, 829, 9325, 8761, 602, 972, 568, 513, 9756, 1063, 519, 27104, 9713, 543, 2890, 874, 9713, 3601, 540, 6404, 874, 848, 12269, 563, 21547, 1408, 267, 7579, 11709, 612, 320, 267, 834, 763, 21478, 540, 589, 14058, 11169, 593, 10979, 543, 24908, 268, 4942, 848, 1849, 10796, 9122, 593, 769, 4149, 15856, 17325, 725, 543, 6682, 277, 3244, 2827, 257, 630, 1708, 273, 1040, 9457, 781, 634, 4513, 269, 476, 276, 4029, 279, 269, 0, 10870, 24002, 281, 476, 2004, 4113, 6734, 12664, 1691, 16357, 301, 267, 476, 276, 4113, 6078, 12664, 4375, 16357, 310, 454, 302, 6113, 333, 766, 11752, 7470, 4704, 281, 17335, 32579, 26951, 454, 301, 534, 329, 714, 531, 630, 10193, 1634, 607, 7085, 7345, 264, 568, 513, 4190, 9678, 524, 913, 267, 1655, 6603, 676, 1739, 519, 3162, 4639, 11076, 11202, 827, 476, 272, 269, 277, 5195, 5180, 689, 8092, 779, 7736, 563, 301, 534, 329, 714, 531, 814, 513, 1216, 6420, 543, 513, 1297, 540, 23572, 607, 1134, 607, 513, 1309, 591, 333, 748, 8574, 3118, 267, 12816, 676, 519, 5836, 267, 917, 607, 519, 2048, 1492, 14576, 540, 519, 7256, 685, 610, 2098, 11921, 12877, 326, 538, 12397, 880, 267, 2495, 2048, 4812, 539, 669, 11047, 9957, 901, 1309, 591, 333, 849, 3947, 519, 15922, 621, 779, 12397, 880, 2012, 267, 623, 2180, 715, 753, 340, 1088, 267, 689, 799, 15089, 329, 714, 601, 24283, 267, 2495, 2048, 322, 913, 540, 519, 875, 1782, 14860, 17483, 763, 2012, 7085, 7345, 4016, 547, 513, 1216, 1984, 267, 519, 8297, 1441, 3788, 540, 799, 666, 1869, 581, 1336, 1657, 519, 15922, 563, 288, 4224, 5250, 547, 519, 5087, 540, 519, 15922, 568, 1634, 607, 519, 2048, 291, 3554, 1180, 21696, 685, 29384, 267, 1813, 547, 922, 11696, 28917, 547, 519, 3337, 540, 513, 7504, 543, 519, 15532, 540, 21247, 602, 2196, 998, 621, 563, 763, 3788, 540, 513, 2458, 1512, 6928, 267, 519, 4975, 540, 9315, 858, 267, 799, 13351, 519, 7725, 538, 513, 7088, 538, 476, 4489, 273, 267, 666, 1869, 581, 2938, 693, 1970, 20352, 269, 24664, 1176, 3025, 20829, 267, 1519, 513, 1079, 4458, 6040, 1126, 267, 941, 10710, 676, 519, 590, 3317, 523, 5020, 29539, 12284, 267, 1210, 741, 15177, 17102, 630, 10193, 1634, 607, 513, 23222, 2583, 26255, 264, 547, 3595, 513, 1899, 689, 519, 13272, 543, 3094, 577, 873, 547, 3106, 269, 0, 5522, 11047, 573, 7004, 1210, 533, 1075, 1240, 593, 552, 19546, 1210, 269, 769, 1840, 267, 4130, 9842, 332, 1749, 3622, 21613, 811, 7561, 538, 4551, 543, 3132, 3677, 2338, 540, 9842, 332, 1749, 829, 1591, 269, 1548, 568, 519, 3017, 1063, 533, 1075, 1240, 543, 533, 1075, 866, 4267, 269, 2422, 609, 26882, 2102, 324, 3301, 610, 519, 1863, 21951, 547, 14650, 3606, 1239, 543, 5447, 824, 9696, 269, 634, 4786, 267, 4967, 267, 543, 14391, 725, 593, 713, 2985, 543, 538, 519, 5311, 14090, 3758, 616, 1196, 1570, 269, 634, 6556, 540, 9842, 13232, 533, 1075, 1240, 729, 1031, 607, 13321, 31252, 585, 938, 6901, 269, 9137, 4702, 513, 8766, 28295, 6152, 689, 513, 533, 1075, 1240, 269, 623, 13062, 29208, 540, 519, 3039, 28264, 3940, 5444, 585, 563, 763, 533, 1075, 866, 9842, 13232, 476, 273, 267, 6924, 277, 536, 335, 1476, 619, 18041, 27957, 4187, 543, 9148, 12889, 538, 269, 670, 2678, 23189, 538, 2627, 15392, 5267, 513, 6498, 540, 4074, 269, 898, 3568, 519, 533, 3387, 272, 5169, 540, 18643, 689, 533, 1962, 27088, 267, 855, 621, 19330, 519, 887, 335, 5444, 543, 11438, 513, 1448, 15817, 538, 519, 678, 333, 2967, 328, 13973, 575, 476, 29574, 276, 538, 533, 1962, 27088, 547, 513, 476, 279, 538, 533, 1075, 866, 269, 26306, 2978, 519, 24450, 540, 9842, 13232, 12743, 543, 513, 563, 763, 533, 3387, 272, 18187, 517, 1065, 3743, 585, 519, 18643, 540, 9842, 13232, 2707, 9842, 13232, 533, 1962, 27088, 269, 1773, 11047, 573, 616, 711, 2556, 585, 6668, 855, 949, 24705, 930, 5413, 547, 519, 269, 4595, 519, 887, 335, 3940, 568, 513, 2942, 26273, 540, 9842, 13232, 18643, 1369, 519, 1071, 548, 272, 1920, 267, 621, 568, 2312, 602, 922, 9000, 786, 3138, 4923, 519, 1852, 593, 9842, 13232, 18643, 3056, 547, 2799, 5299, 1297, 269, 901, 568, 513, 1863, 4199, 585, 519, 3621, 2146, 602, 568, 16432, 676, 1039, 2102, 324, 269, 634, 9842, 13232, 1185, 513, 476, 4366, 278, 279, 321, 335, 10126, 540, 3566, 328, 21301, 25754, 17332, 883, 519, 3235, 528, 272, 3135, 267, 3976, 1310, 7558, 269, 8376, 1852, 538, 20544, 29867, 609, 32714, 269, 623, 338, 325, 9492, 341, 335, 1075, 1240, 4699, 341, 533, 1075, 1240, 544, 14369, 9842, 13232, 9842, 13232, 6152, 585, 269, 634, 2832, 540, 519, 4052, 568, 547, 1353, 519, 4483, 540, 9842, 13232, 533, 1075, 1240, 883, 1965, 7815, 747, 807, 563, 2005, 568, 513, 9764, 5595, 18843, 539, 31252, 543, 814, 476, 28803, 277, 3490, 8424, 269, 634, 5841, 9842, 13232, 533, 1075, 1240, 814, 1044, 16220, 22041, 547, 1331, 476, 272, 513, 5444, 585, 15084, 4187, 547, 18041, 27957, 18041, 678, 267, 543, 476, 273, 513, 5444, 543, 922, 3260, 518, 585, 519, 11747, 914, 698, 531, 716, 657, 573, 848, 22725, 345, 269, 634, 2360, 540, 9842, 13232, 593, 29294, 543, 26737, 15428, 476, 3422, 4367, 9842, 332, 1749, 616, 1507, 9764, 31252, 6675, 602, 1419, 1336, 538, 4551, 538, 1840, 547, 519, 1804, 9764, 31252, 11140, 540, 519, 9190, 15694, 269, 2051, 328, 593, 18041, 27957, 10824, 9727, 7004, 547, 606, 15084, 637, 9665, 26737, 563, 763, 737, 534, 3912, 11142, 4187, 5444, 729, 5833, 689, 513, 533, 16988, 9842, 13232, 269, 634, 2759, 4609, 585, 930, 19231, 11747, 616, 8612, 593, 519, 9842, 13232, 269, 1773, 11047, 573, 546, 19063, 21613, 10446, 540, 519, 9190, 15694, 267, 543, 1082, 9842, 332, 1749, 666, 849, 581, 269, 634, 9842, 332, 1749, 616, 1114, 538, 10688, 543, 8754, 538, 2450, 269, 634, 533, 1075, 1240, 9842, 13232, 1476, 619, 18041, 27957, 4187, 543, 9148, 12889, 538, 269, 634, 7004, 4398, 540, 1025, 2641, 2967, 2281, 568, 476, 272, 1535, 476, 10482, 524, 14673, 269, 966, 26662, 533, 1075, 1240, 543, 533, 1075, 866, 616, 1507, 1164, 32476, 1297, 9842, 332, 1749, 602, 616, 4922, 1031, 585, 28295, 543, 12879, 540, 31252, 15998, 269, 1215, 547, 13861, 9842, 13232, 5299, 1297, 17486, 1125, 6915, 269, 1773, 11047, 573, 5311, 543, 26882, 2102, 324, 8476, 14391, 725, 269, 634, 5551, 9842, 13232, 729, 9112, 676, 7558, 532, 533, 1075, 1240, 543, 533, 16988, 609, 519, 1482, 19231, 11476, 14720, 600, 6062, 543, 12042, 13839, 543, 2538, 908, 519, 2472, 547, 2285, 519, 22041, 533, 1075, 1240, 563, 303, 4206, 4702, 513, 8766, 476, 14093, 276, 536, 335, 28295, 6152, 689, 513, 533, 1075, 1240, 269, 13281, 9842, 13232, 2450, 543, 3160, 24855, 5666, 593, 7004, 4908, 9842, 332, 1749, 941, 5833, 1159, 527, 8047, 267, 18451, 322, 602, 4847, 585, 4152, 519, 2360, 540, 2810, 9842, 13232, 2450, 593, 7004, 4908, 267, 543 ]

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

[ 1142, 4090, 543, 972, 616, 1919, 602, 723, 1631, 2097, 547, 1769, 827, 875, 930, 540, 11427, 19413, 779, 3527, 1185, 513, 4625, 1114, 4641, 982, 519, 835, 602, 729, 5156, 547, 581, 3020, 269, 634, 2243, 1287, 568, 875, 1454, 1058, 519, 7820, 5108, 917, 543, 711, 917, 269 ]

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

[ 540, 19051, 267, 543, 519, 2160, 540, 1715, 24900, 269, 634, 1382, 711, 1152, 9060, 513, 10565, 2333, 538, 6777, 6420, 267, 621, 2417, 6941, 4296, 538, 519, 2518, 2916, 1062, 676, 5316, 5024, 519, 2594, 13250, 547, 15911, 7297, 5215, 540, 5195, 2476, 538, 519, 9341, 7414, 543, 4095, 744, 10895, 269, 476, 272, 994, 763, 1353, 9727, 602, 2413, 6777, 6420, 538, 519, 11599, 14522, 16186, 568, 13778, 585, 693, 2547, 519, 2250, 476, 6344, 271, 1296, 543, 2484, 20489, 3339, 13260, 269, 834, 2171, 941, 28280, 950, 649, 1101, 4718, 875, 1454, 6777, 6420, 814, 2799, 2437, 1767, 661, 5341, 744, 3122, 6199, 267, 606, 13930, 7548, 540, 3047, 9443, 693, 667, 691, 17625, 5441, 543, 9030, 31375, 585, 519, 1382, 269, 11110, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 5353, 4490, 781, 5853, 532, 543, 12618, 257, 607, 851, 540, 834, 19615, 1315, 2136, 2276, 1315, 3557, 1299, 10871, 1315, 7414, 19566, 630, 3036, 267, 26146, 29215, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8080, 547, 7913, 3203, 4065, 256, 901, 1826, 540, 1148, 2636, 596, 547, 1711, 5863, 5961, 267, 6272, 267, 543, 1256, 7044, 1210, 5904, 543, 2027, 2645, 1572, 3301, 269, 1411, 1810, 1405, 991, 1022, 16681, 2326, 899, 5862, 610, 10036, 282, 3079, 267, 596, 666, 960, 609, 4778, 267, 5546, 267, 543, 4992, 1318, 593, 707, 5496, 256, 2913, 781, 2263, 930, 3579, 1919, 596, 666, 798, 538, 3059, 1148, 780, 21760, 7591, 281, 5620, 596, 2479, 24714, 596, 1223, 1689, 519, 4778, 540, 1945, 1175, 676, 14467, 593, 621, 286, 2060, 3059, 1148, 267, 596, 666, 256, 2290, 1187, 3896, 649, 3513, 3643, 568, 1572, 476, 271, 1729, 14838, 269, 5994, 596, 1616, 547, 2721, 513, 4605, 540, 513, 7735, 602, 2242, 2681, 950, 596, 1847, 707, 10856, 936, 621, 1765, 327, 1478, 1533, 269, 4635, 713, 3135, 267, 596, 4584, 835, 2681, 267, 1287, 4945, 513, 1906, 16181, 547, 1265, 14402, 610, 18632, 18707, 269, 3767, 707, 7735, 814, 1114, 4778, 585, 922, 3339, 543, 29964, 2829, 269, 15346, 267, 26001, 31841, 293, 2632, 674, 1066, 5414, 281, 1879, 2870, 19297, 610, 14676, 267, 723, 596, 8068, 875, 1271, 7446, 519, 1318, 1913, 543, 4484, 2511, 568, 286, 2334, 781, 1141, 23935, 2097, 883, 1404, 256, 6056, 540, 873, 607, 4712, 13402, 26897, 7996, 585, 596, 547, 946, 538, 707, 3785, 269, 2311, 4025, 899, 476, 1911, 272, 325, 20184, 267, 596, 666, 3442, 689, 9748, 540, 2189, 23935, 269, 9320, 596, 1616, 2462, 12050, 5022, 585, 513, 2212, 1467, 267, 610, 2220, 597, 569, 7097, 5022, 585, 513, 2027, 5048, 269, 1703, 616, 1100, 7182, 547, 1018, 596, 666, 2769, 998, 1462, 2762, 2439, 20877, 545, 8895, 648, 281, 6884, 267, 596, 1522, 1616, 547, 1039, 16560, 2609, 899, 3515, 267, 3270, 267, 610, 17157, 691, 547, 707, 13144, 269, 9373, 7270, 899, 476, 11277, 10403, 309, 26662, 269, 966, 26662, 616, 12400, 1500, 909, 540, 2241, 12166, 5546, 267, 799, 1797, 789, 1413, 8325, 543, 2312, 693, 1022, 2450, 269, 3245, 6801, 543, 5810, 547, 8075, 543, 6517, 267, 972, 781, 513, 6152, 3239, 585, 3592, 4376, 596, 666, 1589, 540, 256, 2422, 891, 2200, 547, 24996, 909, 707, 11247, 780, 2304, 11582, 24601, 281, 1548, 952, 596, 1223, 3142, 707, 3197, 610, 3615, 547, 1272, 676, 1818, 873, 1847, 2066, 519, 5496, 286, 4270, 267, 1631, 596, 666, 256, 1635, 1565, 14318, 2553, 267, 596, 3513, 1294, 875, 5159, 1711, 2110, 9413, 7406, 676, 7406, 269, 15750, 2572, 899, 476, 274, 291, 23054, 923, 26213, 2709, 18862, 543, 2645, 547, 948, 596, 1205, 3323, 269, 6969, 1279, 267, 596, 3513, 581, 8888, 1285, 520, 1513, 267, 27291, 267, 543, 1256, 19347, 2984, 782, 593, 707, 2780, 780, 20124, 8342, 281, 11146, 2921, 5961, 855, 6999, 596, 1185, 1732, 2081, 547, 12575, 543, 3986, 873, 286, 6744, 856, 8924, 899, 3600, 1941, 269, 1452, 3292, 1577, 596, 7693, 267, 759, 1125, 267, 4188, 21386, 267, 543, 4019, 12086, 547, 707, 6337, 269, 1358, 849, 1450, 596, 547, 9192, 2789, 2592, 883, 2458, 1137, 610, 7499, 15885, 269, 1924, 2436, 596, 1616, 547, 2671, 513, 1582, 773, 610, 13686, 707, 5172, 16314, 5544, 267, 8666, 11049, 2645, 786, 1491, 707, 25135, 32718, 547, 1007, 15627, 2439, 9349, 3213, 951, 281, 1403, 596, 2972, 2542, 2835, 267, 4952, 1373, 2111, 547, 4739, 3750, 2275, 10248, 6227, 585, 873, 269, 5617, 10079, 621, 610, 711, 267, 4609, 899, 1520, 5074, 1683, 17074, 543, 2645, 585, 2870, 3318, 23302, 1433, 6227, 269, 7994, 689, 1585, 11768, 3681, 267, 21160, 519, 1257, 543, 11052, 267, 543, 21350, 10042, 256, 2659, 1360, 1378, 5339, 20100, 19179, 1080, 780, 2026, 596, 4685, 4514, 883, 7913, 3203, 4065, 267, 3314, 602, 2259, 2306, 3356, 269, 5213, 1405, 5855, 827, 4742, 606, 4274, 16074, 282, 1445, 593, 2348, 1187, 3695, 1142, 7121, 543, 8384, 3054, 1332, 2059, 519, 1259, 269, 8414, 2870, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3412, 1137, 267, 29093, 1299, 5071, 267, 23866, 1299, 8535, 267, 11473, 267, 1323, 11582, 267, 21771, 267, 623, 29888, 1231, 267, 8943, 267, 29393, 267, 13088, 267, 4065, 267, 22868, 267, 16179, 1299, 590, 749, 3203, 267, 18877, 454, 12710, 27912, 10396, 4888, 15096, 2177, 10758, 570, 3951, 4041, 645, 5085, 8582, 9215, 8863, 302, 5308, 292, 589, 29640, 9680, 12088, 454, 293, 12767, 5254, 8016, 298, 11682, 5588, 5308, 454, 268, 476, 271, 1729, 14838, 281, 513, 2681, 1907, 602, 2306, 621, 2653, 547, 1769, 523, 543, 4158, 523, 4778, 269, 898, 779, 3501, 585, 29964, 2829, 267, 10665, 267, 27080, 267, 543, 811, 563, 268, 476, 1911, 272, 325, 20184, 281, 5458, 5399, 540, 23935, 454, 268, 476, 1911, 272, 10403, 12606, 338, 281, 20042, 5215, 540, 28370, 1863, 12449, 543, 23935, 585, 2123, 543, 5010, 946, 2336, 268, 476, 11277, 10403, 309, 26662, 281, 700, 17999, 14635, 540, 5131, 21070, 3203, 267, 21070, 16103, 267, 21070, 18753, 8249, 267, 1849, 760, 3203, 267, 16503, 5928, 267, 9931, 17549, 17461, 5071, 338, 585, 2353, 5131, 20042, 563, 268, 476, 274, 291, 23054, 923, 26213, 281, 1374, 707, 1378, 27515, 543, 12449, 630, 822, 520, 1513, 267, 27291, 267, 6227, 267, 2186, 548, 1433, 6227, 267, 1102, 16623, 267, 4282, 2592, 267, 543, 865, 1454, 811, 994, 268, 476, 4335, 29210, 281, 8666, 19458, 630, 321, 8500, 543, 6133, 267, 3309, 6163, 543, 11964, 1472, 519, 1158, 994, 268, 3600, 1941, 281, 8666, 11049, 813, 563, 268, 1520, 5074, 281, 5131, 1433, 3382, 20536, 563, 268, 16989, 294, 3726, 541, 27832, 976, 281, 3362, 22848, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 19445, 3203, 4065, 257, 607, 851, 540, 834, 11286, 1315, 5530, 1299, 9752, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 5851, 14527, 910, 7849, 28057, 585, 18127, 10266, 692, 5970, 596, 2479, 1185, 513, 15677, 602, 1175, 9327, 1405, 979, 2476, 286, 2107, 6148, 513, 15319, 4887, 602, 19388, 619, 1279, 1310, 4730, 5026, 286, 6884, 267, 891, 31191, 543, 24074, 6529, 1472, 3476, 982, 649, 1131, 899, 873, 547, 267, 1256, 950, 649, 1491, 11955, 547, 1745, 1732, 269, 901, 568, 1141, 1753, 14527, 2501, 883, 1404, 256, 898, 3091, 721, 1776, 1259, 547, 4383, 5312, 1928, 1210, 2067, 14319, 269, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 780, 1432, 568, 5851, 14527, 888, 2411, 21387, 5331, 952, 972, 729, 513, 1259, 547, 1521, 10108, 609, 6263, 13066, 540, 6878, 1336, 538, 2470, 1107, 1919, 899, 2371, 543, 6886, 269, 2334, 781, 4010, 1018, 1753, 14527, 1281, 256, 31603, 936, 476, 1220, 1296, 3516, 267, 621, 13333, 896, 519, 6240, 540, 834, 3697, 524, 999, 899, 2437, 799, 1797, 602, 1507, 5666, 540, 1945, 602, 3123, 2589, 538, 513, 2635, 1268, 666, 2965, 14867, 1346, 1482, 2589, 538, 2576, 945, 568, 7210, 269, 1280, 1383, 267, 6995, 2337, 1832, 1004, 25805, 267, 855, 950, 5423, 538, 513, 2027, 1259, 607, 513, 1753, 24403, 16185, 267, 621, 1223, 5732, 5351, 20026, 269, 27355, 28847, 3383, 875, 798, 789, 2490, 6995, 883, 513, 5363, 3207, 5351, 286, 3414, 8920, 1081, 543, 13151, 15664, 267, 1079, 1898, 3157, 538, 1818, 1753, 24403, 14319, 269, 667, 559, 1081, 3322, 11544, 519, 6219, 14578, 609, 1216, 2394, 15991, 1022, 6675, 2611, 269, 2672, 764, 15664, 568, 24373, 519, 7848, 25525, 3585, 1063, 1142, 8920, 1081, 3942, 269, 5080, 29418, 2614, 267, 930, 3744, 3494, 602, 713, 1505, 791, 29251, 1344, 827, 519, 3312, 6219, 5196, 519, 1216, 1282, 713, 7041, 1184, 269, 4014, 1869, 23503, 1369, 519, 3621, 2146, 267, 1082, 2043, 5001, 723, 4810, 8323, 998, 1753, 14527, 780, 12709, 24403, 3816, 12203, 585, 18127, 10266, 454, 5785, 19030, 3086, 1577, 781, 1445, 4481, 593, 5883, 5312, 1928, 609, 1753, 14527, 269, 1879, 938, 4703, 1995, 5571, 9636, 267, 2436, 1813, 547, 5945, 267, 6553, 267, 610, 2068, 267, 938, 4761, 1062, 1568, 2182, 547, 2232, 519, 3390, 269, 1717, 267, 3006, 621, 2115, 3063, 1489, 269, 9373, 1753, 24403, 14319, 256, 1635, 18398, 519, 1560, 781, 2067, 2702, 547, 12115, 267, 891, 9543, 5574, 949, 1683, 13455, 8323, 585, 1585, 2010, 540, 5312, 1928, 780, 2080, 616, 1614, 1455, 1753, 24403, 14319, 1031, 585, 5466, 1114, 5686, 540, 10770, 1928, 1384, 2162, 476, 272, 269, 23172, 3821, 23497, 692, 15761, 26167, 689, 513, 1826, 540, 7823, 546, 24387, 267, 23172, 3821, 23497, 814, 1044, 8246, 585, 5553, 547, 13468, 20015, 2478, 267, 838, 23230, 267, 543, 16757, 31191, 269, 4706, 4550, 13611, 3601, 666, 2569, 11926, 1247, 5009, 5488, 6051, 689, 7063, 269, 1924, 1985, 942, 596, 18417, 29424, 883, 1945, 610, 6335, 707, 21721, 1282, 15547, 1362, 267, 2015, 4758, 23172, 3821, 513, 2119, 2439, 2162, 476, 273, 269, 10910, 639, 24768, 30705, 1258, 630, 22437, 2581, 594, 11803, 2020, 8133, 267, 596, 1224, 602, 1318, 256, 7313, 2581, 17488, 344, 3568, 14984, 7135, 602, 666, 8897, 4745, 20765, 543, 12263, 1928, 950, 5423, 607, 513, 1753, 24403, 16185, 269, 1403, 596, 1265, 3054, 10010, 609, 13888, 267, 11213, 10549, 2390, 24971, 909, 610, 1310, 12675, 5712, 540, 1964, 267, 10910, 639, 1677, 343, 1522, 581, 4502, 3695, 269, 3807, 3314, 2760, 547, 5905, 8914, 17488, 344, 2047, 282, 2141, 5077, 513, 3782, 3318, 1354, 4358, 1022, 1007, 2126, 780, 2162, 476, 274, 269, 13852, 611, 30358, 692, 32056, 1882, 689, 14686, 17334, 327, 1228, 267, 1810, 1405, 5855, 1107, 11350, 611, 30358, 568, 2922, 538, 922, 3810, 29809, 1106, 256, 19612, 585, 922, 4028, 12614, 2962, 267, 11350, 611, 30358, 3927, 13000, 31462, 25290, 14331, 543, 8325, 14159, 24074, 269, 5901, 538, 2247, 602, 713, 16185, 568, 1034, 5078, 585, 7920, 267, 8650, 1928, 2864, 982, 7646, 267, 3586, 9636, 780, 1692, 547, 2422, 5851, 24403, 3816, 12203, 15822, 569, 454, 5785, 19567, 6524, 4098, 1022, 1753, 24403, 20786, 267, 5077, 609, 513, 11727, 19995, 945, 666, 3391, 596, 1759, 593, 707, 1808, 2115, 543, 1072, 1686, 269, 2755, 3622, 2808, 2922, 267, 16789, 6165, 1522, 1291, 547, 6397, 2164, 610, 4205, 609, 824, 6527, 269, 11408, 1246, 6003, 5528, 5402, 543, 2226, 1930, 2792, 609, 707, 3782, 8502, 780, 1103, 3932, 267, 8508, 1753, 14527, 2636, 721, 547, 2263, 4244, 2409, 540 ]

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

[ 264, 2069, 269, 4841, 666, 1374, 543, 476, 274, 291, 1820, 3615, 267, 7393, 741, 1620, 540, 2035, 563, 268, 21826, 5019, 19685, 281, 12409, 5238, 666, 8415, 476, 274, 291, 8228, 585, 4028, 1486, 19685, 540, 2875, 3785, 269, 901, 2636, 1053, 547, 621, 4733, 543, 2087, 741, 6272, 1354, 3803, 2504, 563, 268, 26277, 13929, 17738, 281, 6481, 543, 7350, 1053, 666, 4324, 689, 476, 274, 291, 9102, 26715, 3631, 267, 799, 1683, 513, 10853, 6041, 540, 519, 1480, 1560, 269, 901, 11226, 538, 3308, 1944, 1950, 3889, 543, 1949, 563, 268, 3203, 543, 5071, 4065, 281, 5410, 1438, 5663, 12857, 1053, 547, 1007, 7499, 543, 1374, 7399, 269, 1358, 666, 2263, 519, 5137, 540, 476, 274, 291, 18810, 267, 14446, 267, 543, 6198, 3615, 267, 5807, 5876, 543, 5647, 563, 268, 7177, 18768, 281, 7177, 1053, 666, 15407, 19605, 5663, 547, 3142, 741, 1374, 3785, 547, 1272, 269, 898, 2636, 585, 519, 2504, 540, 6198, 30384, 543, 4152, 540, 2035, 563, 11767, 24287, 543, 9012, 454, 268, 7981, 12186, 543, 1160, 1186, 281, 5410, 1438, 5663, 4249, 513, 2629, 1909, 538, 519, 9913, 2872, 267, 1141, 2143, 605, 1186, 543, 2027, 2360, 616, 2838, 269, 898, 6087, 519, 2504, 540, 10853, 543, 6946, 3615, 585, 9413, 267, 7641, 2982, 267, 543, 16222, 563, 268, 15328, 2452, 281, 15328, 2452, 619, 4324, 689, 476, 274, 291, 8228, 267, 3850, 873, 547, 1711, 4977, 543, 6946, 24853, 543, 17960, 269, 901, 10597, 519, 2949, 1995, 543, 23477, 540, 5430, 2452, 563, 268, 11814, 17156, 281, 634, 2445, 17156, 2344, 814, 17947, 19605, 5663, 267, 607, 621, 6087, 519, 2504, 540, 3908, 7160, 543, 3810, 2143, 19562, 1149, 267, 25584, 267, 543, 8357, 8494, 807, 563, 268, 14044, 18712, 7457, 1559, 281, 5410, 1438, 5663, 666, 1683, 2688, 17960, 585, 5691, 4641, 3457, 267, 971, 607, 7463, 27196, 543, 23908, 21978, 3986, 906, 269, 901, 10597, 519, 15138, 1995, 563, 268, 20308, 3203, 12305, 725, 281, 20551, 543, 2923, 12696, 666, 8415, 476, 274, 291, 8228, 547, 1711, 7317, 1148, 19698, 267, 16471, 2029, 543, 2168, 3615, 547, 4497, 9458, 538, 2189, 543, 15138, 2081, 563, 268, 25841, 17904, 281, 5410, 1438, 5663, 2636, 585, 593, 24683, 663, 2504, 267, 10893, 3653, 2404, 609, 2527, 5663, 543, 7050, 11891, 563, 268, 19889, 6363, 7037, 10049, 281, 12824, 616, 3695, 519, 946, 540, 811, 4264, 2326, 267, 971, 607, 2030, 2861, 610, 13381, 15229, 267, 585, 476, 274, 291, 8228, 269, 901, 6971, 519, 8733, 1764, 540, 19605, 5663, 563, 268, 10871, 13870, 281, 1635, 5663, 2472, 12725, 1210, 476, 274, 291, 8228, 267, 6283, 5829, 5434, 666, 581, 3648, 4389, 269, 901, 8309, 547, 513, 811, 4264, 543, 13476, 7874, 3761, 5832, 563, 268, 29766, 543, 5455, 19464, 281, 5410, 1438, 5663, 16881, 519, 7816, 543, 909, 19464, 540, 5370, 267, 14178, 741, 14438, 543, 4227, 519, 991, 585, 1007, 2472, 269, 901, 8992, 513, 811, 9764, 4346, 543, 6971, 3653, 563, 268, 6052, 21252, 281, 9521, 2757, 5663, 3157, 267, 19605, 5663, 666, 581, 811, 1648, 18026, 267, 607, 621, 1152, 18252, 519, 2556, 2179, 540, 1570, 2838, 585, 2504, 563, 11754, 1438, 5663, 814, 19117, 4948, 1272, 267, 18363, 6080, 971, 607, 3782, 267, 16669, 267, 7082, 5370, 267, 6189, 267, 6752, 267, 2069, 267, 9913, 267, 543, 6940, 269, 3245, 10531, 14382, 12060, 547, 16419, 6752, 543, 4264, 4070, 267, 713, 2029, 5170, 547, 2981, 1585, 3344, 540, 938, 2729, 269, 1306, 476, 274, 291, 8228, 2029, 8441, 543, 3587, 811, 3015, 267, 649, 666, 2503, 547, 7198, 1256, 811, 5499, 3156, 543, 2640, 538, 519, 2104, 563, 2108, 11754, 1438, 19007, 281, 476, 274, 291, 24614, 1848, 8331, 269, 13439, 320, 10993, 454, 22081, 476, 274, 291, 24614, 1772, 7169, 1944, 519, 14825, 12067, 12752, 1848, 1280, 15816, 269, 585, 15816, 2593, 454, 2108, 11754, 1438, 19007, 538, 16195, 1848, 25832, 18669, 269, 949, 665, 4802, 545, 3820, 454, 2108, 11754, 1438, 19007, 538, 15339, 1848, 634, 5948, 540, 2051, 5586, 5573, 12140, 540, 15339, 269, 1035, 21542, 268, 1105, 3820, 454, 10527, 8892, 540, 22960, 281, 3245, 5071, 547, 4825, 841, 2060, 476, 274, 291, 24614, 1848, 22960, 18197, 269, 6752, 684, 1243, 2593, 454, 10527, 8177, 540, 476, 274, 291, 24614, 593, 4065, 1848, 3798, 24728, 18225, 269, 1196, 27700, 332, 698, 8872, 2593, 454, 10527, 10020, 540, 476, 274, 291, 24614, 538, 519, 30007, 12752, 1848, 6355, 6184, 3187, 269, 1870, 1231, 3187, 2593, 454, 2108, 306, 7739, 1464, 543, 5410, 1438, 19007, 1848, 4750, 540, 11162, 518, 13870, 269, 1414, 10642, 1311, 2593, 0, 16665, 2055, 609, 4267, 454, 2171, 616, 4280, 547, 4194, 585, 519, 5860, 630, 514, 10101, 829, 1984, 559, 3438, 264, 540, 804, 1478, 9932, 2016, 519, 1739, 1344, 912, 24127, 540, 476, 272, 7484, 815, 476, 18597, 20853, 7136, 540, 9932, 538, 519, 7484, 815, 476, 21857, 575, 2920, 783, 4320, 13026, 676, 519, 9932, 815, 476, 382, 378, 540, 519, 7484, 454, 2026, 8612, 267, 649, 4194, 585, 519, 5860, 1210, 519, 4542, 912, 763, 3804, 540, 713, 3635, 568, 547, 3313, 519, 5860, 540, 804, 1478, 9932, 2016, 602, 1614, 20453, 540, 513, 7484, 540, 621, 814, 513, 2527, 540, 476, 21857, 575, 563, 27775, 2105, 1837, 3435, 454, 5415, 1644, 2055, 0, 7473, 1695, 781, 2011, 10866, 3778, 454, 2791, 949, 581, 14281, 547, 1451, 602, 519, 3983, 2011, 2298, 602, 5127, 5271, 2812, 519, 30520, 2059, 519, 12984, 2255, 13571, 568, 1732, 982, 1022, 942, 2094, 476, 6642, 271, 269, 2334, 729, 519, 1101, 1032, 602, 8298, 534, 27508, 729, 2111, 547, 3713, 1018, 2968, 513, 7708, 557, 540, 2984, 543, 6337, 25967, 1819, 676, 519, 6161, 18096, 985, 1185, 585, 519, 1198, 540, 3983, 2011, 593, 1857, 1072, 563, 288, 2916, 543, 1648, 25566, 693, 18096, 11162, 6052, 543, 28337, 12200, 693, 519, 2160, 540, 18096, 781, 4972, 540, 27321, 7070, 267, 27508, 814, 2813, 513, 3059, 21287, 8858, 827, 519, 1686, 540, 2825, 1143, 538, 519, 2142, 12317, 633, 3557, 269, 634, 8858, 267, 2143, 538, 513, 1650, 593, 918, 20784, 7641, 267, 2882, 6402, 547, 6337, 543, 4930, 543, 21040, 593, 513, 1382, 1957, 27508, 5206, 2063, 1032, 563, 29467, 729, 2141, 606, 4656, 602, 713, 729, 3983, 585, 938, 1072, 2223, 646, 1767, 540, 15137, 344, 2011, 563, 763, 1650, 799, 513, 1600, 4728, 476, 2420, 5170, 281, 834, 2691, 646, 1101, 22002, 519, 2243, 267, 646, 2219, 267, 6148, 5533, 1185, 1831, 513, 1857, 3390, 538, 519, 2063, 8717, 610, 1079, 269, 1306, 646, 1085, 10696, 519, 21517, 267, 646, 4362, 2011, 2298, 814, 1044, 513, 10770, 6161, 607, 1279, 607, 1004, 723, 5030, 593, 519, 12984, 2255, 13571, 4799, 763, 3778, 540, 5794, 10866, 538, 18096, 3059, 8858, 20502, 31150, 2326, 689, 519, 772, 781, 808, 269, 4024, 731, 3057, 686, 2714, 7732, 7981, 26888, 543, 3140, 11356, 4930, 689, 519, 18096, 7913, 1715, 4944, 3639, 1788, 607, 1134, 607, 689, 824, 21517, 2066, 519, 1533, 563, 5649, 519, 1650, 827, 519, 8858, 593, 7711, 1492, 308, 269, 0, 4263, 513, 6519, 5600, 3377, 10554, 538, 5412, 476, 1960, 275, 267, 1287, 268, 4785, 18874, 2489, 595, 269, 31231, 1777, 918, 17274, 9307, 513, 3084, 2597, 2000, 1601, 1982, 267, 19101, 602, 8377, 1185, 1831, 519, 2197, 779, 2034, 6122, 8172, 2014, 540, 9019, 267, 968, 14310, 532, 538, 10199, 476, 4968, 267, 1822, 2729, 4503, 1142, 1032, 3034, 1607, 729, 519, 1376, 540, 519, 18802, 779, 1279, 543, 3879, 686, 748, 4876, 269, 634, 1297, 729, 11855, 676, 533, 1495, 1080, 543, 4966, 7567, 547, 11168, 519, 8515, 540, 519, 968, 984, 7295, 6855, 1848, 898, 729, 1031, 538, 5873, 902, 1354, 519, 5253, 543, 10684, 10029, 585, 2597, 2000, 1601, 5061, 609, 7334, 3106, 12632, 269, 2290, 4915, 267, 32609, 325, 523, 22381, 1090, 710, 630, 16446, 5060, 1070, 729, 5555, 3144, 1055, 519, 2344, 1813, 547, 2295, 11896, 3441, 538, 2550, 269, 6271, 267, 521, 756, 583, 1090, 710, 630, 30560, 573, 807, 1070, 729, 3144, 1055, 519, 2344, 1317, 621, 729, 5532, 547, 606, 2799, 1981, 540, 2295, 6285, 543, 18116, 563, 5475, 513, 8717, 267, 519, 1297, 1185, 24111, 547, 827, 476, 6110, 267, 1822, 28896, 1813, 547, 8377, 267, 609, 23004, 602, 621, 1131, 4166, 9765, 3368, 513, 2929, 1765, 893, 569, 476, 736, 260, 540, 782, 5993, 7972, 538, 519, 2136, 2276, 269, 1717, 267, 676, 476, 1220, 276, 267, 891, 9583, 31837, 25236, 762, 5515, 1185, 1044, 20328, 269, 918, 15811, 674, 29729, 267, 513, 9972, 10196, 693, 519, 15544, 585, 8376, 6513, 543, 10644, 693, 519, 942, 543, 2221, 835, 540, 519, 1034, 26518, 16917, 328, 5505, 538, 1200, 3924, 267, 729, 519, 18802, 20740, 563, 293, 29729, 3366, 513, 1353, 547, 1732, 1174, 519, 2078, 1063, 1560, 2450, 543, 9019, 267, 799, 7000, 1945, 1082, 3744, 11652, 9090, 519, 2489, 1857, 1765, 323, 573, 711, 2503, 281, 519, 21496, 2669, 17167, 689, 8377, 729, 1175, 936, 476, 1911, 267, 1822, 269, 4634, 811, 10578, 267, 7606, 945, 941, 9286, 607, 24802, 968, 1478, 7076, 892, 5030, 3476, 982, 1346, 945, 941, 9286, 607, 968, 7538, 892, 2597, 269, 630, 3383, 267, 950, 519, 14968, 543, 17324, 6688, 941, 5916, 1927, 267, 519, 2698, 729, 896, 476, 2918, 267, 1822, 28896, 267, 607, 538, 1991, 1382, 8094, 15463, 960, 12582, 1406, 723, 1500, 971, 513, 14815, 538, 519, 1101, 1747, 269, 898, 729, 20483, 676, 519, 15509, 543, 6462, 676, 3606, 2090, 630, 527, 1256, 3893, 513, 8176, 595, 269, 2701, 335, 731, 3163, 13815, 538, 476, 1220, 277, 267, 835, 540, 519, 8116, 779, 5207, 21441, 1040, 6736, 713, 267, 519, 1353, 729, 20888, 609, 513, 3046, 14141, 540, 25949, 543, 9880, 563, 2108, 10144, 941, 10912, 20859, 6619, 540, 942, 267, 6031, 938, 2376, 729, 20203, 2223, 674, 29729, 6941, 269, 968, 5978, 4681, 17275, 7521, 1317, 2576, 729, 3168, 585, 513, 4339, 3034, 14303, 549, 7797, 6887, 909, 609, 11660, 1977, 538, 713, 2110, 17245, 547, 1413, 693, 875, 1560, 2450, 12886, 666, 3310, 519, 2055, 3744, 1382, 543, 519, 1344, 1004, 3494, 547, 581, 4977, 16638, 519, 31713, 2361, 540, 8377, 1382, 267, 14868, 267, 20887, 267, 543, 12886, 616, 24245, 543, 14916, 13006, 269, 1358, 616, 29103, 1229, 267, 2687, 547, 674, 29729, 267, 676, 6848, 2597, 16663, 543, 519, 14453, 543, 2597, 2000, 1601, 4213, 685, 2883, 4690, 269, 2701, 5170, 267, 968, 763, 3003, 1641, 540, 1560, 2597, 543, 8377, 814, 1831, 5393, 2352, 547, 8495, 23963, 1848, 968, 2467, 779, 513, 2603, 540, 7553, 3238, 267, 543, 513, 2603, 540, 1114, 4690, 3034, 763, 1340, 539, 968, 4968, 267, 1822, 28896, 892, 18802, 267, 5103, 519, 9000, 540, 5885, 5013, 267, 20866, 2729, 593, 2221, 607, 606, 1383, 540, 519, 16177, 540, 1266, 11712, 8456, 3823, 8377, 269, 898, 814, 7902, 538, 6644, 4773, 538, 519, 10830, 267, 519, 6115, 5403, 267, 543, 513, 1297, 540, 2199, 12326, 538, 519, 2063, 1032, 269, 630, 7197, 723, 1031, 519, 2657, 10803, 4741, 540, 519, 4639, 9098, 4972, 540, 2657, 267, 799, 18387, 1406, 1044, 8242, 2094, 476, 1220, 274, 4700, 898, 779, 1044, 5018, 538, 7986, 2564, 13746, 267, 1072, 10274, 267, 543, 1256, 513, 18322, 1308, 3915, 5063, 269, 898, 779, 849, 513, 2442, 3903, 1851, 2597, 2000, 1601, 19190, 2066, 519, 2197, 563, 293, 29729, 11099, 602, 968, 15161, 616, 1175, 811, 6899, 609, 513, 3152, 1297, 9789, 344, 4782, 621, 547, 581, 3677, 1848, 968, 296, 1810, 1406, 3494, 9636, 1058, 581, 2808, 513, 3815, 538, 2257, 267, 855, 594, 3494, 621, 814, 513, 3677, 1764, 982, 649, 1174, 3034, 289, 5362, 544, 3291, 956, 519, 3621, 1184, 269, 769, 6484, 2257, 543, 4915, 267, 713, 9186, 3335, 18922, 547, 519, 3661, 602, 1373, 25182, 568, 1732, 267, 543, 602, 1373, 2960, 333, 1512, 568, 8902, 269, 1879, 519, 5013, 2408, 547, 17591, 602, 840, 1410, 12371, 1523, 267, 519, 8360, 968, 984, 7295, 19433, 892, 568, 4749, 1031, 547, 4766, 519, 3510, 563, 2108, 2791, 666, 30035, 519, 1482, 8377, 4681, 476, 1911, 2053, 543, 621, 786, 2141, 581, 17941, 2048, 684, 1410, 4624, 2223, 8591, 674, 29729, 269, 968, 4263, 1018, 1448, 1131, 596, 1689, 707, 2070, 543, 2161, 713, 949, 581, 519, 4397, 6364, 18313, 1607, 865, 10777, 19433, 814, 1044, 4767, 538 ]

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

[ 6055, 540, 4606, 8915, 538, 4890, 2833, 269, 901, 8772, 5123, 568, 7553, 779, 3056, 4082, 538, 1483, 1272, 267, 519, 6388, 540, 3929, 4656, 267, 12588, 598, 4038, 1242, 883, 21055, 2702, 563, 10387, 10056, 779, 968, 338, 839, 725, 892, 666, 581, 4857, 543, 16913, 998, 741, 2185, 9912, 1646, 883, 6857, 4606, 269, 901, 3929, 6616, 568, 519, 3483, 995, 1883, 547, 3811, 1272, 4093, 269, 769, 8236, 891, 3268, 267, 585, 3236, 267, 676, 8026, 11009, 267, 968, 325, 3881, 1995, 892, 7586, 5809, 3929, 5813, 563, 10387, 10056, 2773, 13345, 2982, 875, 3929, 6616, 3587, 13533, 3929, 7924, 9789, 27715, 540, 3929, 4987, 269, 31802, 267, 3483, 267, 543, 513, 2631, 540, 2495, 10069, 1125, 835, 547, 3035, 835, 781, 3853, 610, 6859, 998, 28365, 2962, 563, 13295, 267, 1565, 3929, 4987, 568, 2009, 676, 2898, 27329, 569, 968, 14708, 2631, 540, 7553, 1848, 30248, 616, 2937, 2623, 267, 543, 3929, 7924, 12651, 3048, 908, 4664, 547, 513, 15400, 2534, 540, 3232, 2713, 563, 21595, 332, 1512, 328, 267, 589, 1421, 22513, 663, 14162, 267, 918, 269, 595, 1421, 595, 926, 565, 6737, 267, 962, 1421, 21890, 514, 321, 889, 267, 808, 269, 681, 1421, 25554, 520, 648, 267, 590, 1421, 24162, 267, 808, 269, 808, 269, 630, 1708, 273, 1040, 32313, 19938, 538, 5369, 17871, 543, 15465, 5174, 324, 6409, 21831, 531, 10657, 281, 1323, 6715, 13577, 21887, 269, 11916, 11671, 17595, 17226, 267, 476, 866, 263, 273, 1070, 476, 9818, 268, 13647, 563, 301, 514, 643, 12000, 328, 267, 7671, 3627, 630, 1001, 278, 1040, 10435, 23281, 540, 32313, 281, 11627, 908, 16508, 11106, 269, 28469, 5069, 267, 11022, 281, 18007, 2006, 1299, 9741, 7615, 563, 301, 514, 643, 12000, 328, 267, 7671, 3627, 630, 1708, 271, 1040, 3231, 2740, 24238, 281, 4284, 6509, 22580, 543, 11022, 25682, 269, 1715, 3840, 267, 12924, 281, 29021, 270, 10907, 27854, 4964, 563, 2704, 517, 21532, 267, 654, 269, 645, 269, 630, 1708, 271, 1040, 634, 8177, 540, 16508, 11106, 593, 16763, 13437, 4438, 5046, 268, 866, 19822, 281, 589, 9061, 268, 4089, 531, 5811, 269, 10017, 1382, 543, 2623, 2359, 267, 476, 1724, 267, 476, 278, 5392, 1700, 4037, 278, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 20969, 278, 270, 11266, 13696, 2529, 28091, 4792, 277, 454, 301, 514, 643, 12000, 328, 267, 7671, 3627, 630, 1001, 274, 1040, 29119, 1581, 4132, 4886, 281, 21126, 593, 10017, 543, 9977, 532, 269, 28469, 5069, 267, 11022, 281, 18007, 2006, 1299, 9741, 7615, 563, 302, 685, 289, 1195, 548, 267, 661, 13034, 1421, 12789, 1421, 9966, 874, 9445, 267, 681, 13034, 1421, 15724, 871, 267, 808, 8160, 1421, 8316, 591, 267, 570, 13034, 1421, 543, 9452, 267, 623, 6993, 269, 630, 1001, 272, 1070, 634, 6935, 1063, 3929, 4987, 543, 2816, 2773, 281, 589, 13849, 20400, 269, 808, 269, 5029, 714, 269, 20409, 1421, 476, 3953, 281, 476, 4281, 279, 268, 279, 1240, 269, 4179, 2517, 8742, 3820, 270, 1015, 269, 1911, 273, 10768, 984, 269, 278, 1691, 454, 21946, 913, 344, 267, 623, 1421, 2904, 518, 267, 808, 1421, 543, 2961, 639, 334, 267, 667, 269, 968, 10387, 10899, 4987, 281, 7869, 267, 4681, 267, 543, 6286, 2223, 16723, 769, 11431, 269, 476, 1428, 267, 1100, 269, 476, 274, 630, 1220, 275, 2567, 476, 3192, 563, 306, 9774, 788, 334, 601, 267, 590, 1421, 543, 2826, 345, 267, 700, 269, 630, 1001, 278, 1040, 16508, 11106, 543, 14288, 13437, 269, 10201, 566, 4750, 267, 630, 736, 1070, 476, 14378, 268, 6642, 269, 8158, 689, 4179, 2517, 30394, 11594, 16896, 345, 333, 28482, 269, 5633, 27651, 21703, 270, 810, 320, 270, 14835, 270, 1613, 270, 279, 2641, 0, 5522, 13589, 1007, 11922, 267, 2371, 610, 5388, 666, 581, 513, 1483, 4161, 267, 2523, 538, 606, 1858, 540, 707, 3959, 1141, 596, 2760, 1185, 513, 4677, 5127, 1354, 269, 1306, 1279, 607, 596, 1491, 1697, 1416, 540, 519, 3037, 543, 5965, 621, 25656, 267, 2705, 267, 596, 12582, 1406, 723, 1022, 7411, 538, 1818, 707, 1007, 4677, 1020, 543, 8853, 18991, 912, 268, 6969, 596, 1256, 2015, 9544, 4376, 267, 596, 723, 547, 2708, 519, 1072, 543, 9063, 2157, 540, 707, 3037, 269, 12567, 3037, 3335, 3340, 513, 9063, 1871, 540, 1472, 476, 278, 267, 4352, 4470, 593, 519, 2010, 540, 2371, 596, 1522, 1616, 547, 946, 267, 621, 666, 581, 513, 1434, 2856, 547, 723, 513, 5594, 22279, 610, 5594, 15755, 3037, 563, 268, 6226, 856, 1022, 18047, 543, 4894, 1022, 15468, 3762, 952, 2556, 269, 3973, 596, 666, 1376, 3206, 827, 9544, 543, 7311, 513, 2731, 1434, 5214, 13226, 269, 3807, 1118, 2386, 519, 1826, 540, 13226, 543, 11003, 596, 946, 4422, 1134, 609, 519, 9063, 540, 707, 3037, 543, 609, 519, 2010, 540, 11922, 596, 1544, 593, 9544, 563, 268, 589, 4733, 707, 3037, 543, 1118, 2386, 519, 13226, 596, 946, 666, 3914, 519, 5072, 540, 707, 9241, 12630, 5452, 543, 19211, 811, 3927, 269, 4014, 7098, 908, 568, 2808, 5631, 607, 513, 1259, 547, 2087, 707, 15989, 779, 6043, 2157, 267, 621, 666, 849, 798, 13300, 585, 707, 4677, 2371, 543, 12630, 7031, 269, 1411, 666, 946, 513, 20857, 23643, 610, 513, 838, 1228, 547, 3927, 513, 4733, 707, 4677, 5127, 269, 0, 10908, 817, 6775, 18674, 5068, 630, 293, 14641, 264, 568, 849, 1572, 717, 14641, 267, 3622, 4016, 547, 519, 12432, 10050, 665, 539, 676, 4837, 6775, 543, 5667, 18260, 4874, 6856, 267, 3134, 20293, 18300, 543, 4307, 4301, 18300, 5119, 269, 22365, 1721, 1027, 15229, 602, 946, 4837, 6775, 610, 922, 2472, 607, 17923, 2326, 616, 1572, 4837, 6775, 18674, 15229, 269, 9603, 547, 519, 1114, 2010, 540, 759, 1231, 1031, 267, 972, 616, 4874, 6856, 674, 14641, 267, 3134, 20293, 674, 14641, 267, 543, 4307, 4301, 674, 14641, 269, 674, 14641, 723, 1082, 5383, 971, 607, 17426, 543, 2182, 267, 1875, 8410, 2265, 633, 267, 1164, 7344, 4222, 267, 543, 14809, 4187, 269, 898, 666, 5372, 5374, 547, 5478, 3684, 2694, 267, 18914, 543, 6928, 16115, 267, 3092, 563, 11901, 290, 4016, 547, 519, 7623, 4874, 9109, 2643, 17296, 538, 519, 3114, 2872, 269, 12443, 9109, 2643, 17296, 568, 519, 1034, 4922, 1031, 2495, 540, 31668, 543, 621, 568, 513, 1875, 2275, 31051, 710, 1570, 269, 15519, 573, 31668, 568, 835, 540, 519, 1034, 4922, 1031, 5068, 2326, 563, 763, 3017, 1063, 31668, 543, 674, 14641, 281, 634, 5449, 568, 4874, 9109, 2643, 17296, 5068, 267, 799, 568, 519, 10464, 652, 5068, 267, 5631, 1031, 607, 1216, 12992, 543, 10824, 269, 898, 568, 711, 2178, 9444, 2182, 267, 666, 581, 24268, 676, 8022, 267, 543, 814, 513, 533, 2426, 550, 9329, 269, 769, 9205, 1604, 267, 519, 1966, 540, 10172, 4187, 568, 849, 1360, 3978, 267, 799, 2306, 31668, 2326, 1732, 547, 581, 1031, 585, 11255, 23732, 269, 774, 7887, 5413, 540, 31668, 568, 922, 1970, 1942, 267, 2656, 10380, 543, 10375, 6283, 269, 1717, 922, 14438, 568, 2110, 543, 2653, 547, 3441, 563, 293, 14641, 814, 2362, 4222, 543, 21052, 3379, 547, 31668, 2326, 269, 11531, 31668, 814, 1279, 14438, 609, 1906, 5826, 267, 849, 2656, 10380, 543, 10375, 6283, 547, 4688, 4070, 1942, 269, 769, 1840, 267, 674, 7968, 814, 1434, 12644, 593, 14809, 4187, 267, 4922, 1031, 538, 1216, 2126, 2371, 267, 9023, 20610, 543, 3114, 15327, 547, 9290, 10728, 14809, 1604, 269, 0, 20458, 1689, 543, 1072, 910, 634, 3463, 454, 763, 3486, 1560, 585, 12570, 519, 2257, 1644, 547, 2916, 1689, 5950, 513, 9295, 547, 922, 25004, 10495, 7797, 267, 8693, 7827, 476, 1001, 275, 281, 28620, 267, 9542, 543, 13438, 538, 962, 758, 2129, 4821, 2063, 11728, 563, 16240, 538, 634, 22062, 566, 267, 9622, 7978, 7905, 20900, 5062, 28061, 540, 519, 8241, 2817, 2160, 543, 20485, 2051, 514, 30215, 543, 24796, 7200, 1047, 7137, 787, 540, 519, 2160, 540, 2052, 828, 571, 2161, 519, 4539, 540, 1480, 12454, 2518, 2916, 1689, 607, 713, 2540, 22264, 786, 581, 2647, 8573, 4474, 910, 689, 23229, 538, 6237, 1426, 11729, 267, 15195, 22520, 543, 3441, 547, 17260, 689, 3665, 4365, 2621, 547, 519, 2530, 540, 3110, 3386, 267, 2523, 9381, 267, 2244, 563, 763, 1592, 4422, 593, 281, 2242, 538, 11763, 2068, 3270, 543, 519, 2790, 1072, 4539, 540, 8194, 267, 2530, 267, 12761, 543, 4199, 4655, 269, 634, 1480, 1072, 3184, 538, 519, 2034, 4320, 540, 519, 7379, 6717, 781, 1867, 20147, 602, 519, 3621, 2963, 540, 1082, 1699, 543, 2104, 4220, 547, 1072, 814, 22541, 538, 2487, 1296, 563, 2750, 12488, 908, 840, 25365, 1072, 2042, 454, 7628, 693, 2547, 519, 1985, 1906, 5756, 267, 519, 3184, 2829, 267, 834, 30873, 1689, 786, 5631, 1860, 1480, 1072, 267, 2068, 543, 2669, 676, 12615, 908, 840, 25365, 1072, 2042, 563, 10454, 4102, 5222, 786, 2049, 538, 25013, 543, 7925, 5095, 543, 2950, 1141, 2916, 25259, 10108, 971, 607, 896, 5991, 9173, 543, 11591, 21539, 531, 2068, 616, 2907, 1164, 910, 3976, 11097, 2287, 2417, 519, 1158, 781, 1072, 13103, 4799, 763, 1614, 3081, 602, 4867, 267, 519, 5001, 11411, 540, 2192, 1072, 5693, 30289, 547, 2916, 1689, 568, 5266, 1507, 3379, 609, 824, 2101, 1025, 2074, 593, 1072, 971, 607, 689, 6710, 267, 4057, 19455, 543, 4598, 547, 10269, 563, 3719, 8375, 5210, 543, 4657, 11811, 3270, 723, 2799, 3002, 5829, 10108, 543, 7972, 267, 12012, 519, 3892, 540, 930, 1216, 25645, 11763, 3676, 543, 519, 5521, 10141, 1562, 540, 930, 3676, 971, 607, 13663, 267, 543, 723, 4389, 1426, 11729, 538, 930, 2907, 1426, 2987, 31261, 5095, 563, 27832, 6157, 267, 3665, 4365, 2621, 267, 6766, 538, 851, 676, 2916, 1689, 267, 616, 2693, 547, 723, 8329, 547, 519, 2487, 4473, 538, 2518, 1426, 5777, 563, 5445, 4063, 602, 519, 3184, 593, 1072, 11828, 1614, 1764, 6688, 538, 1880, 281, 896, 5991, 9173, 543, 15176, 1126, 1646, 1813, 547, 4389, 1426, 11729, 282, 7063, 267, 6413, 31907, 543, 7972, 1813, 547, 7920, 3002, 6329, 267, 11642, 543, 824, 4365, 12469, 282, 543, 10593, 538, 519, 12119, 8653, 543, 8901, 2039, 540, 11763, 3676, 563, 19185, 6619, 547, 476, 13975, 271, 267, 585, 799, 930, 1110, 8215, 7653, 1631, 1788, 606, 3328, 2518, 8337, 540, 476, 275, 5232, 17622, 267, 519, 1867, 2062, 572, 525, 602, 538, 971, 2175, 1004, 786, 711, 581, 2111, 547, 11883, 267, 1577, 4805, 960, 1587, 1947, 267, 538, 519, 29224, 2694, 540, 519, 1032, 563, 257, 4517, 602, 781, 14322, 1514, 543, 2804, 5238, 543, 3157, 616, 1869, 16856, 269, 2368, 4525, 949, 1831, 796, 514, 4725, 3386, 269, 28620, 593, 2790, 1072, 1223, 581, 13974, 3665, 267, 2417, 12145, 938, 7104, 4390, 547, 11883, 267, 9156, 543, 3082, 4799, 295, 1301, 786, 7494, 29387, 2640, 454, 4407, 14344, 602, 519, 1198, 540, 2916, 1689, 593, 1072, 786, 4268, 1472, 519, 8608, 267, 519, 19174, 2161, 519, 1072, 3184, 20147, 689, 519, 2963, 602, 5739, 5222, 786, 7494, 29387, 1022, 2640, 563, 4322, 786, 849, 24183, 2182, 2914, 517, 12374, 6913, 998, 1514, 1646, 15961, 267, 791, 5338, 3356, 538, 519, 1158, 781, 30529, 2477, 563, 10454, 3184, 3091, 930, 17869, 538, 2566, 532, 602, 519, 2282, 3856, 543, 5266, 2199, 2213, 1072, 1412, 1723, 1532, 523, 9026, 262, 689, 4227, 8511, 5434, 1223, 581, 1360, 1804, 269, 26805, 5434, 540, 15655, 543, 3109, 3327, 267, 585, 1383, 267, 949, 2057, 811, 982, 1079, 2929, 7972, 829, 1032, 2437, 789, 2161, 563, 24281, 2804, 2474, 267, 519, 7379, 6717, 3184, 16488, 602, 519, 1072, 1071, 1532, 523, 9026, 689, 4227, 5434, 1131, 581, 5393, 1942, 1532, 523, 1030, 2772, 269, 1358, 1131, 267, 585, 1383, 267, 581, 476, 272, 267, 1822, 2053, 3152, 982, 519, 2804, 1071, 1532, 523, 9026, 547, 6694, 11729, 689, 4389, 23927, 547, 2110, 24331, 267, 7693, 1673, 600, 1645, 267, 23197, 2916, 14107, 563, 257, 14454, 267, 519, 909, 1922, 3224, 3790, 540, 4227, 5434, 1223, 581, 15186, 15558, 676, 2038, 543, 5393, 1804, 1072, 543, 824, 2640, 4799, 1103, 741, 1378, 3932, 267, 519, 1614, 2161, 602, 9039, 540, 713, 6927, 952, 1480, 1134, 5630, 267, 1072, 543, 6668, 1611, 2370, 281, 834, 1103, 602, 2013, 649, 666, 12520, 782, 649, 899, 267, 1287, 7985, 267, 546, 13388, 548, 610, 1256, 5884, 856, 607, 513, 2249, 543, 4734, 713, 4541, 547, 9156, 543, 8853, 1510, 721, 269, 2290, 1259, 610, 1776, 649, 786, 1287, 12520, 1447, 563, 20442, 723, 513 ]

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

[ 1472, 3010, 5445, 4797, 588, 13764, 2394, 789, 6603, 513, 21757, 2407, 540, 7524, 4778, 269, 589, 1895, 540, 5017, 31025, 6653, 23964, 1247, 17984, 1166, 18636, 1229, 7404, 269, 834, 1607, 1747, 568, 18198, 569, 32154, 2437, 26866, 1229, 15207, 269, 834, 296, 6999, 3025, 1223, 2972, 621, 1510, 9292, 1154, 519, 1604, 3010, 10712, 4979, 267, 11875, 320, 21330, 269, 834, 6546, 781, 1946, 3235, 582, 24397, 6818, 256, 898, 11414, 1004, 875, 547, 5660, 2067, 13300, 19100, 269, 1280, 1383, 267, 3079, 540, 16116, 909, 16115, 689, 519, 11824, 267, 789, 1522, 1711, 1148, 1210, 2326, 2907, 1336, 593, 519, 32132, 269, 1656, 1705, 596, 5469, 1022, 17885, 1282, 938, 3802, 2221, 12482, 20755, 3240, 695, 809, 1010, 2212, 269, 834, 301, 2100, 267, 594, 10093, 1405, 2938, 1022, 20203, 693, 782, 15323, 257, 2750, 18075, 256, 19889, 23655, 14666, 4584, 909, 1310, 2933, 543, 1256, 2445, 16445, 789, 1265, 2059, 519, 1259, 269, 1635, 3257, 865, 267, 789, 4734, 1100, 10250, 3297, 267, 4180, 2104, 5481, 666, 1869, 14952, 693, 713, 5898, 3010, 2026, 789, 8120, 547, 11875, 320, 781, 2777, 267, 1352, 11329, 856, 1585, 4191, 22348, 8436, 711, 547, 11145, 7320, 9249, 610, 3441, 2030, 1272, 269, 4173, 1920, 1419, 5249, 1927, 547, 13599, 14538, 827, 5726, 3646, 543, 9415, 873, 547, 7119, 1932, 780, 4504, 29098, 267, 15207, 4280, 267, 834, 3383, 267, 1281, 3235, 582, 24397, 2731, 960, 286, 1684, 1004, 2965, 1246, 891, 3652, 12482, 6826, 5446, 23217, 267, 11875, 320, 14452, 267, 834, 27028, 5193, 569, 256, 2859, 543, 811, 1004, 1174, 519, 2956, 540, 7863, 3047, 781, 16782, 1169, 1032, 269, 769, 1249, 267, 519, 5001, 3235, 582, 24397, 2872, 8952, 3395, 267, 8757, 17542, 540, 9489, 538, 1871, 269, 5994, 602, 910, 9494, 519, 4541, 6730, 2348, 1187, 15323, 20755, 3240, 7948, 1405, 3494, 875, 4241, 3235, 582, 24397, 729, 269, 2060, 6801, 538, 1010, 4064, 267, 646, 9684, 539, 11875, 320, 585, 3450, 1864, 971, 3407, 4245, 543, 16219, 547, 3262, 519, 2262, 1394, 1753, 269, 8625, 267, 789, 530, 8491, 1434, 25742, 267, 6616, 602, 1082, 3078, 9035, 19179, 1243, 1312, 540, 873, 538, 519, 8748, 1158, 540, 3743, 2951, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 2026, 938, 2518, 9637, 10593, 2509, 8508, 4264, 3800, 267, 519, 24567, 7678, 540, 3235, 582, 24397, 814, 1500, 513, 1713, 1764, 1472, 519, 1158, 269, 5510, 1359, 513, 18900, 11100, 540, 2825, 5539, 543, 3408, 267, 3235, 582, 24397, 814, 6607, 13702, 9643, 538, 8560, 267, 18867, 8034, 2454, 922, 2804, 9153, 269, 901, 5816, 2022, 546, 1161, 2620, 883, 519, 6422, 1158, 540, 3235, 582, 24397, 998, 606, 10763, 7828, 267, 3695, 519, 2872, 779, 1034, 24084, 2287, 7194, 563, 5804, 15805, 22097, 547, 2804, 2640, 543, 2208, 3466, 267, 649, 2832, 547, 5862, 513, 2143, 4605, 540, 519, 2479, 21608, 14099, 540, 3235, 582, 24397, 12544, 5823, 602, 10905, 519, 26497, 540, 21409, 609, 519, 9547, 540, 8497, 938, 4541, 269, 13028, 875, 713, 2189, 2872, 568, 5935, 519, 3068, 540, 2518, 9235, 543, 4431, 547, 922, 1289, 585, 513, 811, 4264, 14182, 563, 763, 26257, 8278, 582, 24397, 12752, 10803, 1133, 557, 6150, 454, 763, 2518, 3235, 582, 24397, 2344, 2450, 729, 12595, 693, 20430, 476, 8687, 269, 272, 5479, 538, 476, 1001, 280, 563, 4415, 606, 11141, 19609, 540, 1373, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 30728, 1315, 7981, 9314, 1315, 8278, 582, 24397, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 769, 1022, 11180, 2486, 267, 2463, 585, 1367, 2924, 543, 22624, 568, 14063, 269, 901, 2882, 519, 1318, 547, 7834, 267, 799, 814, 1831, 5051, 1271, 538, 2221, 781, 3059, 2085, 269, 1306, 2104, 7855, 543, 14519, 267, 621, 568, 1898, 602, 596, 1174, 519, 1523, 540, 7834, 2924, 607, 789, 829, 1555, 547, 1053, 538, 519, 2796, 540, 3872, 1876, 543, 9086, 269, 901, 1576, 1770, 786, 5490, 883, 713, 3390, 267, 5373, 2390, 519, 1383, 540, 3127, 781, 3656, 1062, 607, 4330, 538, 519, 6679, 1349, 780, 20058, 267, 1577, 721, 5581, 1018, 649, 1611, 676, 1412, 1440, 643, 2329, 9538, 13575, 6340, 267, 7834, 4016, 547, 606, 1367, 781, 2702, 547, 1852, 1569, 547, 741, 2123, 1344, 267, 4555, 267, 4606, 267, 543, 5615, 269, 1879, 7234, 2875, 7834, 1369, 606, 3872, 4259, 267, 649, 616, 5097, 7255, 609, 7863, 6213, 1239, 827, 1053, 267, 971, 607, 4081, 5638, 267, 30095, 3527, 267, 1072, 1344, 267, 543, 1920, 4282, 269, 3767, 267, 875, 1281, 4095, 13338, 5943, 2232, 891, 4145, 286, 4014, 972, 568, 1100, 8763, 2446, 540, 513, 4909, 1318, 547, 7834, 896, 3487, 8633, 540, 519, 9139, 540, 3127, 630, 6518, 14592, 1585, 4909, 2924, 1070, 1896, 16324, 24969, 906, 5431, 7834, 607, 606, 7533, 5057, 540, 1272, 543, 15698, 6870, 896, 9137, 476, 2641, 269, 3958, 267, 1808, 29071, 899, 519, 9406, 547, 4065, 2920, 267, 476, 1220, 280, 267, 543, 6176, 5303, 16390, 267, 476, 1001, 272, 267, 1683, 28863, 585, 4509, 22637, 543, 17516, 4357, 1239, 11341, 547, 1153, 1453, 780, 3080, 2565, 2460, 540, 2875, 7834, 3322, 9844, 910, 950, 666, 3506, 2445, 543, 946, 1053, 262, 2123, 1344, 1510, 1786, 2286, 741, 7834, 2924, 286, 15380, 267, 2069, 5238, 991, 15366, 610, 27369, 9844, 1354, 11018, 610, 4687, 1295, 832, 262, 4357, 3877, 8259, 2769, 569, 15868, 6382, 676, 1876, 269, 1280, 3236, 267, 8791, 476, 7761, 288, 540, 519, 8668, 2920, 791, 4680, 20507, 593, 4896, 945, 12607, 4680, 2123, 1344, 5833, 538, 6015, 952, 2944, 865, 1510, 519, 1268, 781, 9844, 269, 1717, 267, 4052, 2152, 8451, 3823, 13844, 4570, 931, 757, 1813, 547, 2192, 3438, 2329, 267, 1893, 7496, 267, 610, 1379, 6384, 1063, 3237, 543, 3610, 269, 4475, 267, 2312, 4808, 1590, 581, 3964, 1472, 5275, 267, 25643, 267, 543, 2847, 3183, 931, 757, 1247, 4180, 11413, 2429, 519, 1184, 780, 5194, 1883, 1858, 1141, 2875, 7834, 2501, 896, 22987, 568, 13178, 2029, 6165, 538, 3506, 269, 2060, 7760, 538, 595, 6311, 309, 1949, 267, 1979, 6248, 20343, 9477, 267, 16674, 2839, 16776, 267, 3092, 1421, 2055, 7282, 703, 28424, 5464, 2409, 10836, 269, 2755, 28288, 8044, 602, 2799, 15569, 10597, 3106, 543, 12477, 267, 13915, 25077, 602, 7050, 28858, 1102, 2590, 525, 2390, 6267, 262, 2596, 2924, 267, 5732, 588, 604, 1782, 5876, 543, 5807, 5134, 6412, 1851, 8639, 269, 589, 3666, 2115, 547, 10880, 1934, 998, 1134, 1673, 2761, 539, 4507, 15725, 19698, 267, 5106, 267, 543, 5826, 540, 13178, 3937, 2059, 609, 2834, 32116, 547, 2327, 10220, 780, 13010, 267, 1239, 4027, 3587, 2629, 2016, 519, 1761, 4220, 2404, 609, 6880, 6937, 267, 23139, 20984, 267, 610, 18532, 21568, 540, 4357, 2875, 1344, 269, 30543, 1058, 2936, 7347, 2930, 3800, 899, 14238, 267, 3595, 31486, 267, 3818, 29969, 17452, 267, 3092, 1421, 13745, 609, 2178, 4835, 8060, 543, 5234, 2866, 3292, 6322, 693, 10893, 16426, 269, 8617, 8039, 540, 1239, 7829, 2853, 1471, 268, 14504, 23724, 4657, 6639, 5251, 1131, 948, 2226, 909, 3562, 15082, 8825, 6127, 1996, 18977, 1569, 610, 12879, 780, 15563, 267, 3444, 31215, 4483, 540, 2875, 1239, 12651, 1950, 11758, 12302, 2591, 8506, 3486, 9316, 543, 11745, 1436, 540, 4031, 12044, 7834, 4441, 2066, 6082, 269, 9717, 3127, 781, 3395, 8561, 593, 7857, 1242, 1565, 5867, 543, 5698, 609, 4914, 9988, 267, 3384, 17396, 2994, 5466, 891, 4145, 17648, 4644, 780, 1103, 3932, 267, 10188, 519, 2978, 31307, 710, 6389, 540, 2875, 7834, 19329, 6024, 6278, 609, 9687, 15424, 7835, 267, 10883, 1440, 28619, 267, 543, 1655, 2853, 269, 1635, 14237, 4656, 540, 1761, 25354, 543, 12561, 14942, 4485, 2509, 8497, 7834, 2924, 267, 7855, 3565, 9797, 2509, 14637, 3972, 995, 3347, 543, 5009, 11455, 1646, 540, 1053, 1303, 27434, 538, 741, 1416, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 19328, 568, 513, 6687, 691, 344, 267, 5313, 267, 25931, 9111, 609, 513, 22833, 600, 1968, 14618, 269, 634, 7022, 267, 11221, 676, 606, 21146, 2852, 267, 568, 519, 2212, 540, 1533, 267, 543, 519, 6305, 14012, 568, 519, 2212, 540, 519, 2229, 269, 7201, 519, 11156, 267, 519, 476, 3066, 2829, 543, 5722, 9769, 11182, 723, 513, 1164, 4110, 540, 13190, 543, 723, 3119, 5539, 585, 1876, 543, 1931, 269, 966, 582, 619, 11221, 5518, 2398, 534, 629, 631, 4157, 615, 329, 2465, 538, 476, 1001, 273, 547, 513, 2947, 4458, 2165, 267, 543, 715, 732, 526, 571, 3525, 328, 2968, 6305, 14012, 1739, 519, 11802, 540, 519, 2817, 14891, 19137, 22687, 3366, 676, 519, 32038, 10620, 5984, 3967, 1092, 9549, 538, 519, 2904, 476, 1001, 275, 2489, 12836, 269, 9866, 21665, 2808, 891, 12836, 267, 799, 3769, 811, 982, 476, 4649, 272, 2929, 5171, 267, 1863, 543, 4023, 267, 5103, 9678, 8320, 540, 5208, 563, 290, 2753, 1014, 8128, 9738, 2500, 1852, 936, 519, 3354, 4229, 563, 763, 1034, 1713, 1480, 2924, 2042, 3238, 8320, 540, 7128, 543, 3354, 3196, 28407, 267, 1519, 3063, 9080, 2772, 6146, 902, 267, 25711, 267, 543, 22149, 282, 13313, 267, 799, 1121, 2967, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 7468, 643, 2329, 7126, 540, 4841, 257, 607, 851, 540, 834, 30311, 1315, 12409, 4521, 1299, 18489, 3175, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 267, 538, 513, 1507, 15798, 728, 8498, 267, 5030, 1079, 1655, 2828, 3957, 27385, 519, 1530, 531, 543, 20182, 519, 4239, 22455, 269, 1358, 6170, 741, 2395, 4730, 1927, 538, 519, 2462, 4544, 4262, 267, 3695, 782, 922, 13300, 269, 2290, 1554, 789, 8068, 1945, 9490, 910, 519, 1216, 5433, 15911, 982, 8912, 2439, 10501, 1190, 267, 789, 4956, 547, 979, 593, 606, 7045, 547, 1265, 856, 1018, 729, 8345, 269, 1306, 789, 2220, 600, 4514, 883, 519, 5836, 267, 789, 1558, 4856, 320, 519, 595, 4599, 267, 945, 5143, 873, 602, 1352, 1185, 4862, 2984, 827, 875, 834, 30873, 1689, 257, 729, 1818, 519, 5836, 7297, 3636, 909, 269, 2701, 6045, 602, 2916, 1689, 4523, 950, 1004, 6633, 1932, 1082, 8093, 10173, 899, 5755, 543, 3154, 267, 4929, 811, 3327, 8166, 547, 979, 883, 519, 2011, 267, 29212, 3002, 1472, 3047, 267, 543, 7444, 8337, 909, 519, 12084, 780, 306, 20632, 543, 20182, 941, 14281, 1317, 789, 6785, 602, 15911, 1216, 1223, 1118, 930, 4262, 7068, 13943, 610, 1256, 3196, 873, 547, 1847, 2476, 269, 1809, 1287, 4856, 320, 3838, 1776, 6161, 282, 2916, 1689, 666, 2014, 6793, 15420, 543, 2362, 29500, 267, 3056, 547, 811, 5533, 10678, 909, 538, 519, 5836, 269, 21311, 3653, 543, 5739, 6878, 1131, 2322, 3025, 781, 2729, 693, 1981, 2439, 291, 17827, 547, 948, 1832, 741, 5836, 1753, 2922, 543, 2973, 267, 519, 2468, 334, 4797, 741, 3460, 2417, 2394, 789, 1336, 7905, 23027, 267, 513, 8797, 2025, 5951, 945, 6785, 1454, 827, 519, 5836, 14768, 269, 1261, 4951, 873, 875, 891, 3532, 12535, 6410, 1898, 5567, 267, 5135, 267, 543, 14246, 2066, 519, 5318, 14015, 1158, 269, 1717, 267, 1813, 547, 2916, 1689, 267, 519, 12798, 543, 14768, 941, 4657, 267, 27200, 519, 3666, 540, 519, 5117, 269, 24695, 339, 25762, 267, 6263, 2371, 2713, 538, 519, 5836, 267, 1522, 711, 4309, 2614, 7943, 543, 5567, 585, 15591, 267, 7133, 519, 3003, 1426, 5832, 780, 2026, 519, 1614, 1007, 15274, 16540, 539, 2081, 547, 4194, 891, 2042, 267, 10393, 267, 513, 1804, 5068 ]

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

[ 1932, 1454, 1520, 1457, 718, 267, 606, 18041, 2867, 8533, 267, 596, 949, 1995, 513, 2647, 2039, 540, 7646, 547, 4049, 2589, 269, 2659, 5114, 786, 581, 5462, 676, 875, 1454, 1520, 1457, 718, 596, 3576, 267, 707, 1560, 7998, 267, 875, 6213, 596, 616, 547, 8102, 1218, 267, 543, 2436, 596, 3576, 824, 6878, 538, 1840, 547, 1520, 1457, 718, 269, 634, 1739, 616, 10832, 540, 606, 1520, 1457, 718, 30072, 912, 268, 21826, 7244, 454, 268, 4400, 2295, 2557, 454, 1432, 547, 1684, 538, 519, 7926, 540, 606, 1520, 1457, 718, 3683, 323, 846, 454, 2252, 596, 1589, 2576, 568, 2921, 1932, 1454, 1520, 1457, 718, 267, 1289, 476, 26605, 5612, 269, 3629, 3877, 547, 2564, 10986, 267, 1519, 519, 1268, 779, 2085, 267, 3105, 2564, 2152, 267, 1022, 1520, 1457, 718, 11959, 267, 2436, 789, 8532, 4568, 610, 5061, 267, 543, 519, 7274, 540, 1520, 1457, 718, 789, 3576, 454, 269, 19321, 519, 1268, 538, 513, 2922, 1604, 547, 2057, 1373, 10413, 676, 8325, 3615, 952, 789, 723, 513, 23069, 269, 589, 3728, 2126, 585, 18041, 2867, 8533, 30072, 10607, 519, 8458, 540, 513, 2407, 6051, 269, 6481, 5464, 267, 11955, 267, 543, 11215, 1416, 616, 782, 3769, 538, 2126, 585, 18041, 2867, 8533, 30072, 267, 799, 2882, 2295, 6285, 543, 17465, 563, 21675, 585, 1520, 1457, 718, 18816, 543, 24251, 454, 3849, 1457, 718, 666, 581, 22925, 952, 3144, 1510, 513, 13310, 269, 898, 568, 4105, 602, 596, 1205, 948, 538, 1931, 547, 5265, 4308, 609, 1520, 1457, 718, 8213, 269, 634, 3355, 1900, 538, 6051, 568, 547, 4383, 15639, 689, 1520, 1457, 718, 267, 2059, 609, 26739, 12153, 543, 9963, 4191, 269, 769, 1931, 547, 2226, 17712, 29561, 267, 596, 786, 723, 547, 5706, 519, 2591, 540, 9854, 267, 4965, 267, 543, 3668, 540, 5834, 1510, 3318, 948, 563, 288, 1268, 29279, 547, 1520, 1457, 718, 666, 581, 16913, 1282, 19140, 693, 513, 11727, 2126, 4099, 269, 1280, 5230, 3755, 267, 1520, 1457, 718, 19140, 2356, 3322, 513, 16795, 5786, 4640, 269, 4635, 713, 4640, 267, 519, 3075, 568, 7444, 17515, 689, 519, 1560, 547, 7413, 13943, 15639, 2589, 971, 607, 4965, 543, 9854, 563, 7628, 519, 6051, 1184, 267, 4509, 865, 321, 686, 1214, 3340, 5571, 3797, 543, 1489, 269, 1323, 1520, 1457, 718, 8213, 568, 12082, 538, 1585, 1514, 267, 3318, 267, 543, 4081, 7965, 269, 10657, 666, 4217, 7218, 547, 3605, 2635, 8925, 547, 11883, 609, 891, 2042, 269, 1677, 9156, 267, 3755, 1590, 2263, 891, 2152, 543, 1265, 3435, 547, 873, 563, 9336, 3593, 543, 2126, 8502, 11887, 519, 3259, 540, 942, 2838, 585, 1520, 1457, 718, 11222, 269, 634, 1377, 540, 2126, 568, 5462, 676, 519, 3593, 779, 991, 269, 8409, 609, 4049, 1039, 11881, 2356, 2154, 3476, 11222, 13978, 269, 9615, 666, 2063, 1063, 476, 2764, 543, 476, 3445, 2395, 563, 3849, 1457, 718, 24251, 9615, 538, 1306, 515, 6807, 267, 12135, 454, 2005, 568, 1271, 547, 10646, 1520, 1457, 718, 8213, 5288, 1520, 1457, 718, 13829, 547, 3313, 952, 596, 610, 513, 6068, 835, 568, 7654, 7092, 689, 8213, 269, 2311, 1306, 515, 6807, 18401, 4741, 267, 649, 1683, 513, 2039, 540, 2126, 3681, 547, 4217, 1346, 609, 3075, 610, 4568, 8213, 2042, 269, 1284, 946, 513, 476, 1321, 9912, 1982, 543, 9192, 11455, 14317, 2553, 538, 938, 3292, 269, 2271, 2400, 30229, 267, 19140, 29748, 267, 9864, 30674, 267, 543, 1310, 3249, 2533, 616, 2139, 693, 519, 9744, 563, 2414, 1205, 6351, 609, 3075, 610, 4568, 8213, 267, 3346, 1306, 515, 6807, 18401, 4741, 779, 2126, 12665, 2221, 269, 1411, 1100, 3476, 723, 547, 6560, 4805, 269, 0, 4913, 267, 972, 616, 930, 5322, 543, 25287, 2762, 602, 616, 7833, 538, 801, 3930, 267, 543, 891, 2413, 3268, 666, 3362, 581, 27058, 563, 268, 4354, 331, 13560, 543, 5455, 563, 268, 6181, 4210, 902, 563, 268, 25065, 7982, 563, 268, 3143, 21940, 2456, 563, 268, 476, 272, 1548, 616, 2596, 7544, 1983, 888, 268, 476, 273, 1548, 616, 476, 276, 4162, 540, 2413, 7544, 888, 268, 476, 274, 4208, 568, 621, 1271, 547, 1451, 519, 2596, 1983, 540, 2413, 7544, 888, 268, 476, 275, 1548, 616, 1806, 540, 7544, 1983, 888, 268, 476, 276, 1548, 616, 519, 476, 276, 2596, 7544, 3527, 888, 268, 476, 277, 1548, 2306, 2413, 7544, 2413, 888, 268, 476, 278, 1548, 616, 519, 2609, 540, 2413, 7544, 888, 268, 476, 279, 1548, 616, 519, 2413, 7544, 2553, 888, 268, 476, 280, 1548, 568, 2413, 7544, 538, 707, 1378, 1913, 888, 268, 476, 1015, 1548, 568, 519, 1292, 3483, 540, 15472, 2413, 7544, 888, 268, 476, 1556, 1548, 616, 519, 2596, 1983, 3268, 538, 3860, 23929, 888, 268, 476, 1321, 1548, 568, 519, 1034, 2596, 1271, 5578, 547, 581, 2808, 538, 15472, 888, 1432, 616, 2596, 7544, 1983, 888, 21995, 19933, 17778, 454, 268, 11831, 7827, 269, 634, 3440, 1689, 568, 1336, 538, 1034, 7544, 10459, 267, 1519, 15690, 267, 7148, 267, 11430, 3740, 267, 543, 12048, 5577, 563, 268, 13340, 5153, 269, 901, 835, 786, 1205, 596, 998, 1022, 16806, 282, 621, 779, 707, 2596, 1907, 689, 9087, 868, 8527, 547, 678, 3518, 320, 563, 268, 24755, 383, 362, 333, 2946, 570, 5281, 563, 268, 1261, 601, 12414, 563, 1432, 616, 476, 276, 4162, 540, 2413, 7544, 888, 276, 18567, 540, 513, 12634, 19933, 454, 268, 24023, 281, 901, 729, 3957, 1310, 26795, 24023, 563, 268, 7799, 517, 281, 901, 729, 3957, 1310, 8277, 7799, 517, 563, 268, 24793, 281, 1773, 5217, 8561, 593, 10893, 8082, 538, 519, 3406, 585, 5714, 640, 543, 9355, 543, 519, 3608, 946, 540, 7362, 543, 1648, 563, 268, 13555, 8555, 341, 5314, 912, 3963, 568, 621, 1271, 547, 1451, 519, 2596, 1983, 540, 2413, 7544, 888, 14187, 4480, 786, 2327, 513, 15854, 1356, 779, 15325, 267, 2061, 7063, 267, 1628, 4222, 543, 8112, 267, 543, 13217, 3350, 2298, 269, 2353, 540, 799, 1683, 20248, 9952, 25249, 609, 519, 2702, 547, 7544, 1210, 2953, 1560, 13307, 543, 12972, 543, 4190, 3515, 563, 1432, 616, 1806, 540, 7544, 1983, 888, 8266, 540, 19933, 10341, 454, 1432, 616, 519, 476, 276, 2596, 7544, 3527, 888, 763, 476, 276, 3527, 540, 7544, 1107, 7914, 267, 2490, 267, 2951, 267, 23972, 543, 1869, 1145, 563, 1432, 2306, 2413, 7544, 2413, 888, 29820, 538, 519, 2038, 476, 736, 628, 2540, 267, 2413, 7544, 568, 513, 7544, 2511, 602, 6212, 593, 513, 15854, 1356, 779, 1378, 12496, 3079, 540, 11295, 3268, 267, 607, 538, 2757, 29478, 15472, 269, 7073, 25249, 7947, 519, 7687, 540, 8106, 29478, 543, 3870, 5322, 6508, 689, 519, 4082, 540, 741, 6418, 4606, 563, 1432, 616, 519, 2609, 540, 2413, 7544, 888, 291, 766, 666, 581, 7745, 1524, 883, 519, 1739, 2947, 2609, 912, 1432, 616, 519, 2413, 7544, 2553, 888, 291, 766, 2553, 543, 3350, 24866, 6964, 538, 4207, 7544, 949, 1331, 12634, 29478, 267, 19933, 27906, 5314, 267, 19873, 633, 7544, 267, 10370, 3740, 7544, 267, 7073, 7544, 6163, 689, 2136, 2276, 971, 607, 24023, 4480, 267, 9966, 874, 9445, 268, 2171, 573, 2006, 4480, 543, 29088, 517, 4480, 267, 7073, 7544, 540, 2342, 645, 6914, 773, 742, 454, 1432, 568, 2413, 7544, 538, 707, 1378, 1913, 888, 19640, 7544, 1107, 513, 2511, 540, 26974, 3740, 15472, 602, 568, 711, 607, 11658, 607, 8106, 29478, 282, 5322, 616, 22192, 540, 4606, 269, 25287, 2762, 267, 3942, 15472, 1107, 513, 1397, 5473, 7499, 15472, 563, 1432, 568, 519, 1292, 3483, 540, 15472, 2413, 7544, 888, 17457, 19933, 3091, 25249, 513, 4960, 547, 2263, 741, 5876, 998, 3350, 269, 898, 849, 13976, 513, 2603, 540, 4222, 256, 3245, 6989, 960, 267, 547, 26357, 267, 547, 24574, 1359, 543, 27906, 5314, 267, 513, 7073, 8355, 1356, 3096, 1010, 17017, 3003, 1560, 543, 1590, 1451, 547, 979, 689, 835, 1377, 547, 1776, 3533, 543, 16900, 563, 1432, 616, 519, 2596, 1983, 3268, 538, 3860, 23929, 888, 2005, 3096, 2241, 7544, 3268, 630, 12921, 6235, 267, 4881, 267, 17259, 267, 4358, 270, 2056, 13514, 264, 543, 3096, 891, 3268, 14350, 543, 538, 7649, 3347, 630, 5723, 1106, 1040, 10801, 782, 519, 2238, 1053, 616, 4397, 547, 1265, 267, 946, 543, 7544, 538, 741, 1378, 2230, 2476, 689, 3615, 543, 1866, 563, 1432, 568, 519, 1034, 2596, 1271, 5578, 547, 581, 2808, 538, 15472, 888, 2026, 1134, 607, 4222, 543, 10688, 267, 513, 1434, 15854, 1356, 1590, 849, 4865, 1390, 11558, 630, 1492, 2702, 547, 960, 1114, 2694, 540, 519, 1560, 1927, 1070, 513, 3810, 2919, 10252, 20469, 4656, 630, 514, 1931, 547, 917, 543, 1852, 519, 2990, 543, 1533, 540, 519, 1560, 1070, 1852, 936, 2597, 543, 3666, 538, 5163, 267, 513, 2919, 4656, 540, 0, 291, 1170, 27937, 12307, 8018, 12226, 1107, 634, 2832, 540, 25285, 543, 12307, 6096, 568, 547, 948, 707, 1126, 1451, 811, 3927, 543, 7561, 269, 1358, 1331, 7317, 2238, 543, 2042, 1759, 593, 519, 5311, 540, 4238, 269, 3414, 891, 3211, 267, 3214, 616, 2111, 547, 9787, 2596, 607, 1134, 607, 1950, 2035, 538, 1360, 2110, 2179, 540, 1974, 540, 942, 269, 898, 568, 2009, 547, 4647, 891, 1863, 2200, 538, 7300, 3898, 547, 5351, 707, 1126, 779, 1565, 543, 2259, 13004, 4834, 269, 1452, 2200, 616, 6225, 547, 1053, 538, 519, 476, 276, 628, 268, 279, 628, 9344, 563, 12606, 5131, 19837, 27937, 12307, 8018, 12226, 454, 4322, 3211, 666, 581, 1031, 676, 1053, 689, 519, 476, 276, 628, 268, 279, 628, 9344, 269, 634, 1079, 9912, 2262, 2042, 941, 9112, 1210, 17447, 610, 8454, 269, 3962, 4976, 3568, 4557, 2042, 269, 1411, 666, 1265, 873, 693, 1022, 1820, 610, 2228, 4199, 269, 1452, 3211, 616, 606, 5140, 4316, 547, 2259, 22198, 4474, 4834, 269, 1452, 3211, 616, 513, 1390, 1259, 547, 2259, 22198, 4474, 4834, 543, 4217, 1053, 609, 1620, 7862, 543, 11201, 4238, 563, 4322, 3211, 616, 5078, 585, 946, 676, 11359, 543, 21632, 3446, 1053, 269, 1452, 3211, 616, 3501, 585, 1053, 945, 616, 10010, 547, 5173, 21159, 269, 1703, 616, 1614, 5686, 540, 2055, 596, 666, 3442, 689, 269, 1411, 723, 519, 4781, 547, 2901, 4194, 2582, 9912, 2042, 602, 2270, 2898, 2338, 610, 8918, 2338, 267, 610, 946, 2262, 2861, 2409, 585, 8454, 543, 17447, 269, 3962, 2985, 3568, 4557, 4834, 269, 1452, 3211, 585, 12307, 666, 581, 1031, 676, 1053, 538, 519, 476, 276, 628, 998, 476, 279, 628, 9344, 563, 4322, 3211, 666, 581, 513, 8748, 1259, 547, 2259, 6824, 9273, 543, 824, 3344, 540, 7223, 269, 1411, 666, 2824, 689, 513, 3099, 540, 5686, 540, 2591, 609, 891, 3211, 269, 898, 568, 2009, 547, 2824, 2262, 2861, 1966, 610, 513, 10230, 269, 634, 1966, 1826, 568, 849, 2629, 267, 2094, 1142, 6799, 513, 1114, 4161, 1826, 269, 1703, 616, 4557, 2591, 538, 1142, 2985, 267, 543, 789, 2461, 5140, 585, 1053, 538, 519, 476, 276, 628, 547, 476, 279, 628, 3446, 563, 4322, 3211, 948, 1053, 1174, 519, 4296, 1063, 2338, 543, 4632, 269, 1452, 3211, 1683, 1053, 609, 519, 4960, 547, 2259, 6061, 9971, 7215, 610, 6061, 4834, 267, 607, 1134, 607, 1620, 875, 547, 4019, 873, 538, 4948, 1272, 269, 1403, 596, 2461, 3168, 585, 513, 1390, 3872, 1907, 547, 1451, 827, 7215, 543, 4834, 267, 596, 666, 1376, 676, 3168, 998, 891, 3211, 269, 1452, 3211, 666, 4001, 596, 827, 1585, 5686, 540, 6310, 2042, 607, 1134, 607, 519, 1082, 6698, 1031, 547, 2769, 873, 563, 4322, 3211, 616, 5393, 6225, 585, 1453, 538, 519, 1101, 3446, 269, 1452, 3211, 666, 948, 1053, 1451, 547, 3113, 543, 4194, 4834, 269, 1452, 3211, 616, 5140, 585, 1565, 827, 9971, 4632, 269, 1358, 666, 948, 596, 1174, 875, 547, 3815, 873, 543, 14458, 873, 269, 1703, 616, 1082, 3211, 596, 666, 946, 547, 4001, 1453, 827, 4834, 269, 634, 1655, 1505, 547, 1451, 827, 4834, 568, 547, 798, 519, 960, 3054, 563, 2467, 616, 3875, 3211, 2139, 547, 1353, 13392, 4834, 269, 3962, 1377, 814, 922, 1378, 4976, 269, 1452, 3211, 666, 581, 1031, 547, 1449, 707, 1983, 538, 6061, 2042, 909, 547, 519, 8772, 4110, 269, 4495, 596, 723, 6192, 519, 2838, 1377, 267, 596, 666, 3136, 2324, 593, 824, 5686, 540, 4834, 269, 4495, 596, 723, 6192, 602, 267, 596, 616, 2111, 547, 960, 547, 4194, 519, 1482, 2042, 269, 898, 568, 2009, 547, 267, 585, 3236, 596, 666, 4194, 519, 1482, 3390, 607, 513, 28608, 1966, 269 ]

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

[ 6419, 2361, 1369, 519, 1570, 3294, 998, 6071, 7344, 2566, 269, 5994, 2348, 513, 9059, 18389, 602, 5932, 513, 3196, 2361, 3274, 676, 19755, 621, 256, 4270, 267, 2470, 814, 2907, 3177, 721, 609, 2147, 13300, 3842, 11275, 739, 2774, 633, 2326, 2439, 6962, 454, 29603, 9961, 1686, 267, 3425, 723, 10244, 539, 519, 1379, 6456, 3330, 1114, 2010, 540, 2339, 547, 1628, 6909, 4066, 269, 4653, 267, 11275, 739, 2774, 633, 2326, 2099, 2943, 1776, 3184, 538, 8103, 781, 5571, 1391, 585, 5647, 543, 6602, 269, 3245, 10188, 12084, 547, 890, 1359, 2620, 1369, 6000, 267, 891, 9735, 6878, 3136, 18534, 12686, 519, 1158, 1472, 721, 267, 18445, 2899, 1586, 602, 2257, 2760, 2781, 1162, 547, 9983, 543, 8300, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8368, 540, 12937, 912, 268, 10049, 13242, 538, 30059, 27718, 20668, 454, 268, 19007, 9828, 585, 30059, 27718, 20668, 454, 268, 19007, 9828, 585, 30059, 27718, 20668, 454, 268, 21992, 906, 538, 30059, 27718, 3487, 5303, 454, 268, 10241, 540, 30059, 27718, 20668, 454, 268, 20904, 540, 30059, 27718, 20668, 454, 7093, 17800, 9044, 2694, 616, 2189, 3334, 602, 616, 4481, 2966, 547, 3514, 883, 513, 9044, 543, 948, 8308, 3337, 543, 1106, 1585, 2326, 1031, 538, 5663, 269, 1452, 2694, 1450, 9755, 547, 1711, 2472, 609, 1164, 8856, 267, 6111, 267, 543, 11007, 563, 7093, 17800, 9044, 2694, 616, 1898, 538, 1082, 6080, 267, 1519, 16669, 267, 23825, 267, 5907, 267, 2564, 267, 543, 5068, 27724, 269, 634, 2702, 547, 3132, 2472, 609, 6946, 6272, 543, 9395, 7109, 1734, 568, 1500, 2009, 609, 8856, 9044, 2694, 269, 901, 2337, 2087, 519, 2949, 2298, 540, 519, 8737, 1587, 543, 10597, 6075, 9547, 563, 1103, 713, 2376, 267, 649, 786, 2263, 519, 1585, 2326, 1031, 538, 8856, 9044, 2694, 267, 3302, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 300, 24599, 739, 2774, 633, 10049, 257, 607, 851, 540, 834, 31900, 1299, 22957, 1315, 10049, 3163, 1315, 5450, 1023, 1299, 2353, 9081, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7170, 281, 1215, 547, 28161, 15019, 593, 15825, 692, 7072, 912, 342, 9780, 568, 513, 10319, 1603, 3760, 602, 2488, 14292, 4930, 8720, 513, 2647, 2039, 540, 3584, 269, 29460, 2442, 593, 15825, 3322, 7700, 3407, 1543, 267, 2502, 609, 519, 2146, 267, 543, 20170, 547, 519, 3135, 781, 4507, 543, 4808, 269, 901, 3102, 3391, 786, 3802, 596, 998, 519, 3268, 2838, 547, 3715, 3054, 607, 513, 15197, 543, 1134, 8153, 3593, 1369, 519, 15825, 2146, 780, 3721, 476, 272, 281, 25800, 23126, 609, 15825, 24727, 543, 13832, 454, 6524, 11362, 883, 2870, 610, 11049, 4930, 267, 1491, 930, 942, 547, 1224, 543, 1174, 15825, 781, 4507, 543, 4808, 269, 1452, 3652, 1827, 1585, 3344, 540, 519, 3896, 267, 1519, 1543, 2298, 267, 2623, 267, 543, 11249, 4441, 269, 1635, 5432, 1944, 3054, 609, 891, 6054, 267, 596, 6542, 2463, 585, 519, 2146, 543, 2327, 707, 7418, 5447, 609, 519, 2949, 5075, 540, 519, 3760, 269, 6206, 2200, 1331, 1384, 265, 634, 8080, 2985, 630, 283, 10059, 2517, 4178, 9884, 23943, 2593, 270, 8702, 3562, 2914, 9780, 285, 994, 265, 7991, 667, 1662, 4580, 630, 283, 10059, 2517, 4178, 9884, 23943, 2593, 270, 26322, 5937, 1662, 4580, 285, 994, 265, 12474, 8889, 630, 283, 10059, 2517, 4178, 9884, 23943, 2593, 270, 32098, 6261, 32123, 285, 994, 265, 15015, 540, 13910, 630, 283, 10059, 2517, 4178, 9884, 23943, 2593, 270, 10048, 783, 6361, 4149, 1399, 548, 285, 2020, 3528, 1739, 891, 4808, 267, 596, 1711, 513, 2318, 12705, 1851, 25982, 3755, 543, 1305, 3054, 909, 585, 1967, 607, 513, 12595, 4759, 540, 519, 2146, 780, 3721, 476, 273, 281, 8073, 606, 10055, 454, 17730, 606, 2272, 2636, 596, 547, 3950, 707, 3356, 267, 4309, 5491, 585, 707, 960, 267, 543, 4497, 811, 3927, 609, 824, 3755, 269, 1677, 1129, 909, 267, 4945, 519, 1412, 19868, 538, 1315, 6178, 5455, 262, 7735, 693, 519, 1283, 1318, 7944, 540, 1022, 15825, 2985, 267, 1287, 2824, 1412, 14294, 909, 9538, 7427, 519, 12987, 547, 1683, 2596, 1344, 971, 607, 707, 2012, 267, 4757, 2232, 267, 543, 27024, 269, 4495, 10805, 267, 21160, 707, 9043, 676, 4946, 513, 8666, 267, 6915, 267, 543, 6402, 547, 1514, 2923, 6589, 952, 5551, 269, 589, 2347, 9043, 11942, 3972, 543, 7512, 5698, 689, 8284, 2146, 2818, 780, 3721, 476, 274, 281, 5269, 966, 16191, 19928, 1903, 454, 30696, 593, 3246, 1164, 7779, 1543, 602, 9607, 10616, 538, 4540, 1888, 3795, 610, 10607, 2390, 2907, 3370, 4930, 269, 6333, 519, 1739, 2994, 950, 13167, 1007, 1570, 610, 7393, 4540, 4773, 1384, 265, 10576, 2127, 1141, 596, 4865, 6791, 610, 2178, 1719, 269, 19457, 1702, 827, 5396, 596, 616, 13730, 827, 4679, 519, 10171, 540, 6721, 11108, 1543, 563, 265, 18430, 9488, 1382, 1210, 23674, 2959, 547, 1489, 707, 6811, 543, 2327, 6111, 269, 7743, 569, 13712, 782, 8100, 2687, 547, 15825, 781, 27375, 6651, 630, 283, 10059, 2517, 4178, 9884, 23943, 2593, 14727, 2787, 8566, 340, 728, 285, 1916, 265, 1520, 1877, 547, 519, 15015, 540, 13910, 950, 1785, 1005, 543, 12180, 707, 2376, 269, 3117, 29548, 2066, 15825, 8309, 547, 5467, 8223, 543, 9547, 563, 265, 2422, 2312, 267, 13801, 1893, 3358, 547, 707, 3077, 5304, 24568, 1034, 2665, 267, 713, 1797, 4948, 2296, 5078, 585, 6267, 540, 8795, 15334, 2157, 563, 265, 5410, 3308, 2609, 899, 2592, 267, 7044, 267, 610, 12222, 547, 3986, 1620, 543, 6278, 269, 1717, 267, 2057, 20358, 532, 4930, 609, 11991, 19180, 3334, 563, 265, 11622, 622, 609, 1866, 256, 12833, 1746, 5955, 689, 4810, 15769, 666, 948, 13217, 707, 960, 543, 2087, 922, 8458, 540, 1373, 12286, 593, 519, 1753, 2457, 610, 11992, 593, 519, 3135, 780, 19894, 569, 7700, 3407, 1543, 20502, 707, 11428, 547, 519, 15825, 5692, 543, 4396, 5809, 707, 10639, 607, 513, 6325, 2707, 540, 1344, 780, 3721, 476, 275, 281, 18918, 2060, 4033, 20305, 454, 8002, 1947, 10283, 538, 5717, 267, 5356, 16268, 9880, 267, 543, 4687, 17192, 13976, 4296, 1369, 519, 15825, 2146, 269, 3371, 616, 930, 2081, 547, 6536, 2318, 3347, 1247, 849, 14027, 707, 2123, 2208, 607, 606, 9375, 1384, 265, 18554, 2487, 2242, 543, 4901, 3817, 1644, 547, 707, 2127, 540, 1719, 269, 20644, 4030, 267, 2626, 2055, 267, 543, 4217, 609, 20547, 13882, 950, 3617, 563, 265, 12160, 622, 538, 8468, 16060, 630, 283, 10059, 2517, 1721, 4548, 9884, 23943, 2593, 270, 285, 264, 4143, 547, 707, 1983, 610, 4690, 269, 9523, 2833, 267, 2307, 2055, 267, 543, 2709, 15826, 6114, 547, 1866, 262, 9708, 563, 265, 32633, 3729, 14222, 4930, 585, 6284, 3842, 3292, 899, 9894, 1411, 5700, 286, 630, 283, 10059, 2517, 4178, 9884, 23943, 2593, 270, 12441, 268, 2791, 11860, 852, 285, 264, 610, 9137, 26094, 20000, 630, 283, 10059, 2517, 4178, 9884, 23943, 2593, 270, 20684, 268, 18719, 22777, 5937, 337, 633, 285, 1040, 23779, 7341, 5031, 8037, 10781, 2066, 15825, 543, 5000, 2417, 1646, 540, 1164, 7779, 1543, 780, 8777, 1645, 25006, 609, 824, 3755, 9727, 7029, 547, 519, 15825, 1788, 543, 18791, 707, 2990, 1369, 519, 2146, 780, 3721, 476, 276, 281, 22895, 528, 1715, 3798, 6002, 454, 2026, 596, 2744, 1995, 543, 1628, 29037, 609, 8284, 15769, 267, 2015, 29013, 18960, 3755, 945, 949, 2154, 5583, 610, 6351, 10188, 519, 3760, 269, 2920, 532, 607, 513, 4199, 585, 1447, 19023, 20334, 2640, 1312, 6105, 281, 6497, 4315, 4324, 689, 707, 7326, 543, 6791, 267, 1247, 596, 24917, 5718, 1983, 543, 15052, 707, 9525, 538, 519, 2146, 269, 3958, 267, 30023, 3255, 3565, 9797, 547, 15825, 781, 2949, 1072, 543, 6940, 780, 3721, 476, 277, 281, 13773, 15765, 543, 6431, 11962, 454, 28082, 640, 593, 15825, 1281, 711, 3335, 4755, 16074, 282, 2864, 267, 621, 2164, 689, 5812, 4674, 267, 8990, 267, 543, 9639, 269, 8033, 28204, 11441, 547, 4228, 707, 1983, 564, 267, 2263, 3309, 1641, 2339, 267, 543, 2226, 2318, 4205, 609, 824, 3755, 269, 3683, 942, 267, 891, 3527, 786, 24772, 707, 4527, 593, 519, 3135, 543, 2333, 15287, 1851, 1312, 9905, 543, 16984, 7567, 780, 6962, 912, 6826, 5765, 2442, 593, 15825, 3340, 11428, 267, 18094, 267, 543, 15984, 547, 519, 2146, 781, 2418, 543, 8155, 269, 10312, 593, 12419, 1871, 998, 8101, 7418, 267, 3742, 6278, 267, 543, 11215, 30023, 269, 1306, 596, 1020, 513, 7347, 1560, 540, 960, 543, 11349, 6209, 3347, 267, 596, 786, 7930, 7118, 6284, 543, 22644, 1369, 519, 7524, 15825, 2146, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 289, 22877, 15019, 538, 15825, 2580, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3178, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 538, 331, 24851, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 769, 713, 1576, 1770, 267, 649, 786, 5490, 883, 519, 1158, 540, 6529, 518, 10207, 267, 4481, 1369, 519, 2796, 540, 6529, 518, 2835, 267, 1210, 519, 2442, 3014, 715, 2131, 334, 589, 1206, 2541, 781, 834, 8489, 2549, 594, 2725, 578, 8119, 607, 938, 3119, 1383, 269, 1284, 786, 2263, 875, 891, 7317, 2833, 8415, 3308, 1374, 3741, 267, 1966, 9010, 2994, 267, 543, 9423, 2553, 547, 4497, 3755, 269, 1635, 6313, 519, 2078, 1063, 29654, 267, 5054, 267, 543, 3197, 267, 649, 2832, 547, 1174, 519, 1761, 1764, 540, 971, 6272, 593, 3593, 1995, 543, 1565, 4093, 780, 1262, 296, 269, 10439, 5071, 14362, 538, 25529, 518, 2480, 25333, 4373, 24058, 1374, 4249, 513, 2629, 1909, 538, 2870, 15138, 543, 2502, 6529, 518, 6429, 2833, 269, 634, 946, 540, 4778, 267, 5546, 267, 3270, 267, 543, 5888, 8309, 547, 519, 2949, 12716, 9029, 543, 2337, 3391, 519, 3593, 781, 3007, 2509, 1271, 2609, 269, 1280, 3236, 267, 538, 834, 8489, 2549, 594, 2725, 578, 286, 2580, 17804, 4778, 543, 3982, 3270, 948, 10646, 3077, 7314, 689, 741, 10450, 269, 4197, 3308, 15796, 267, 3666, 267, 543, 8561, 5849, 602, 9858, 1711, 11617, 24886, 15885, 1247, 13057, 3755, 2509, 11264, 2591, 7561, 780, 1262, 2862, 269, 9046, 14572, 11150, 543, 15465, 22580, 4373, 11328, 5562, 6529, 518, 10207, 2154, 5042, 6278, 543, 2565, 3206, 1983, 689, 3755, 269, 3414, 5402, 2966, 13410, 543, 4247, 267, 891, 3756, 5000, 1966, 6061, 2994, 899, 8343, 267, 4806, 6284, 267, 543, 17429, 794, 269, 1306, 2938, 538, 834, 8489, 2549, 594, 2725, 578, 286, 2580, 31278, 4679, 538, 6988, 7903, 3755, 547, 13217, 741, 10478, 2409, 543, 2226, 1445, 269, 3194, 5267, 602, 3742, 7589, 538, 1966, 9010, 4247, 5012, 547, 1732, 1344, 12802, 543, 8476, 8404, 630, 305, 657, 553, 1696, 620, 1421, 476, 1001, 276, 6393, 1262, 7656, 269, 27884, 9828, 543, 10886, 4886, 4373, 19931, 9423, 10597, 3593, 6278, 676, 3246, 6209, 4296, 547, 519, 5691, 1158, 4843, 269, 16992, 1369, 6529, 518, 10207, 1419, 4865, 2189, 14789, 267, 23079, 267, 543, 1394, 560, 1559, 267, 3850, 873, 547, 1831, 811, 11541, 543, 12300, 585, 3755, 269, 769, 715, 2131, 334, 589, 1206, 2541, 267, 1367, 3032, 12632, 3565, 547, 606, 3929, 6125, 1063, 6345, 543, 1915, 269, 15043, 6568, 543, 13613, 7512, 12675, 5872, 543, 11942, 2318, 1565, 2833, 630, 22416, 821, 1299, 2274, 3899, 267, 476, 2735, 278, 6393, 1262, 4353, 269, 20074, 3955, 13808, 609, 25529, 619, 4373, 28885, 29654, 8591, 6106, 540, 2170, 2032, 543, 29356, 547, 6529, 518, 6429, 13144, 269, 20305, 949, 1747, 267, 1847, 267, 17967, 267, 543, 759, 1125, 29654, 2687, 547, 741, 7375, 267, 7175, 1582, 22325, 543, 5876, 269, 5015, 267, 8888, 29654, 609, 2789, 2829, 610, 27515, 2636, 585, 6422, 4205, 543, 9670, 8906, 267, 7700, 547, 513, 21950, 11080, 1995, 630, 289, 976, 793, 648, 1696, 620, 1421, 476, 1001, 274, 6393, 1262, 309, 269, 10241, 15332, 30007, 4373, 763 ]

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

[ 666, 1406, 1832, 909, 543, 952, 789, 10093, 1406, 4362, 930, 2645, 547, 12260, 1007, 1913, 267, 789, 616, 4503, 1848, 314, 328, 2639, 31535, 519, 4992, 540, 519, 5022, 2636, 513, 1126, 547, 1376, 16471, 873, 547, 1118, 1913, 269, 901, 2337, 1864, 547, 3280, 856, 1913, 1107, 849, 1634, 607, 29852, 563, 2080, 779, 875, 547, 2253, 912, 9359, 676, 3450, 519, 3029, 540, 519, 5022, 543, 741, 4992, 269, 630, 31535, 519, 9904, 693, 713, 3942, 568, 711, 1898, 547, 1565, 547, 1224, 269, 634, 4992, 540, 519, 5022, 616, 1034, 1271, 4700, 2755, 621, 4465, 1406, 2800, 707, 1126, 547, 1451, 519, 9904, 267, 1810, 1406, 7227, 547, 1376, 2542, 2394, 646, 6487, 621, 563, 5938, 778, 519, 3029, 543, 4992, 540, 513, 1906, 5022, 269, 589, 1434, 1747, 547, 2253, 568, 609, 707, 1126, 779, 1378, 2012, 269, 3503, 1010, 2012, 543, 1205, 1864, 547, 10250, 1010, 9416, 936, 1142, 4484, 269, 15681, 1864, 1018, 621, 3081, 269, 1403, 646, 568, 5461, 1577, 1864, 2328, 1010, 2012, 593, 796, 20040, 1957, 855, 1810, 1406, 3196, 1864, 547, 2328, 1063, 519, 3515, 610, 1205, 1010, 5022, 519, 1482, 2450, 563, 3086, 1847, 593, 547, 513, 1906, 824, 5022, 563, 5938, 778, 1152, 519, 2110, 4992, 540, 519, 24008, 596, 798, 4001, 1107, 1315, 320, 270, 607, 538, 3032, 267, 1315, 324, 270, 607, 538, 4212, 3092, 269, 1452, 616, 1031, 811, 1419, 982, 519, 1279, 4992, 269, 901, 786, 2057, 10539, 950, 707, 1126, 6238, 519, 1985, 1900, 1107, 16471, 269, 1879, 707, 1126, 568, 811, 8746, 596, 666, 2253, 3450, 519, 1279, 4992, 1107, 1315, 320, 270, 607, 538, 10766, 267, 1315, 324, 270, 607, 538, 803, 563, 4415, 835, 610, 1079, 24008, 543, 513, 1906, 19283, 1218, 538, 707, 1126, 779, 2212, 267, 646, 568, 4712, 547, 1376, 16471, 563, 2237, 519, 1906, 5022, 707, 1126, 6487, 543, 2253, 8380, 873, 1927, 547, 1118, 1913, 269, 3503, 519, 5022, 899, 713, 912, 333, 533, 512, 454, 11592, 547, 519, 1315, 320, 270, 543, 2161, 519, 3280, 1107, 1315, 320, 270, 630, 553, 538, 19033, 1070, 13472, 707, 9416, 547, 519, 1315, 333, 270, 543, 2161, 519, 2262, 267, 606, 269, 5192, 707, 1126, 547, 2161, 519, 2262, 1142, 942, 596, 1448, 547, 1346, 5022, 269, 1684, 519, 1482, 609, 693, 269, 3973, 6467, 1063, 519, 1079, 543, 1294, 952, 707, 1126, 3081, 873, 7157, 269, 634, 2262, 3284, 568, 711, 513, 2262, 267, 855, 1205, 707, 1126, 547, 2161, 621, 19037, 543, 2491, 602, 621, 568, 711, 513, 2262, 269, 1684, 713, 2394, 707, 1126, 1281, 621, 2770, 1836, 563, 31161, 593, 547, 1614, 4484, 1913, 1107, 1884, 267, 3443, 267, 1273, 267, 19038, 267, 7148, 267, 16009, 269, 2659, 1126, 1058, 2259, 6031, 519, 1913, 950, 596, 1448, 547, 873, 269, 1261, 666, 1448, 547, 873, 585, 596, 547, 1224, 267, 2328, 519, 1913, 543, 1287, 1224, 873, 267, 543, 1224, 1913, 602, 596, 2328, 563, 11754, 1776, 4484, 1107, 5372, 519, 1315, 320, 270, 609, 1315, 334, 270, 543, 979, 998, 782, 519, 1007, 1913, 1107, 711, 267, 1494, 267, 1283, 267, 9103, 267, 1402, 563, 294, 992, 707, 5750, 607, 596, 1039, 1007, 5022, 267, 5329, 519, 24008, 593, 1283, 543, 19283, 1218, 2630, 563, 3086, 602, 707, 1126, 666, 3280, 856, 1913, 267, 1448, 930, 856, 547, 1864, 1247, 596, 616, 2542, 547, 1864, 269, 5192, 1864, 547, 3280, 873, 856, 563, 10673, 1406, 1118, 891, 4245, 1932, 1279, 543, 2141, 3247, 1247, 707, 1126, 568, 11981, 1967, 563, 2252, 713, 3942, 568, 3500, 538, 4947, 1287, 979, 1394, 547, 3257, 968, 9418, 8631, 892, 585, 513, 1247, 543, 2119, 519, 2542, 4245, 538, 513, 1906, 4374, 610, 3275, 563, 3086, 568, 519, 942, 547, 4001, 782, 540, 519, 5022, 543, 741, 4992, 269, 4746, 4001, 4484, 10659, 267, 971, 607, 1315, 1188, 270, 543, 1315, 628, 28918, 1403, 707, 1126, 3085, 1406, 2943, 917, 519, 4408, 540, 519, 5022, 543, 519, 9904, 267, 596, 666, 4001, 873, 1631, 563, 2108, 6624, 1453, 616, 4712, 547, 973, 924, 519, 9904, 676, 2085, 1079, 610, 1614, 1107, 543, 972, 568, 1100, 1483, 2800, 538, 971, 1565, 269, 1809, 621, 13976, 1100, 1880, 21184, 267, 2094, 789, 2731, 723, 2370, 946, 585, 519, 9904, 269, 4400, 2298, 2542, 568, 811, 982, 519, 887, 974, 3965, 540, 1913, 6026, 676, 2038, 8755, 2275, 731, 24200, 269, 1403, 267, 3079, 540, 4470, 593, 3965, 4805, 267, 519, 2385, 568, 8348, 547, 8488, 6101, 1565, 2394, 2601, 543, 1620, 723, 13175, 547, 9921, 1107, 2356, 1472, 5216, 547, 4557, 1107, 519, 1126, 666, 1628, 513, 9266, 3060, 540, 13093, 2045, 2609, 543, 2262, 3885, 543, 9062, 1010, 6863, 6385, 1848, 1496, 4512, 2639, 3963, 7227, 11489, 1631, 547, 4001, 519, 9904, 286, 5221, 1631, 707, 1126, 814, 513, 1747, 538, 1010, 2247, 547, 2322, 713, 1344, 269, 16707, 543, 4992, 1631, 723, 513, 946, 543, 2495, 563, 10287, 713, 2241, 1505, 547, 4001, 782, 519, 4992, 912, 1607, 786, 711, 1491, 1416, 540, 782, 519, 1913, 1317, 930, 723, 12150, 18551, 3652, 269, 1452, 1913, 616, 1655, 6026, 676, 8289, 1107, 1913, 899, 912, 27745, 267, 1131, 267, 543, 1058, 563, 290, 727, 267, 689, 267, 540, 267, 824, 267, 930, 267, 543, 835, 563, 12179, 267, 1082, 267, 1767, 267, 3081, 267, 1004, 267, 519, 267, 972, 267, 1079, 267, 543, 729, 563, 3086, 568, 519, 942, 547, 2259, 547, 2744, 21711, 269, 2659, 1126, 2141, 814, 1614, 2542, 2157, 912, 272, 264, 4830, 1377, 1107, 2835, 646, 666, 1224, 593, 1010, 1378, 454, 273, 264, 14292, 1377, 1107, 786, 4001, 1864, 1007, 1983, 454, 274, 264, 17140, 1377, 1107, 2835, 1932, 2182, 585, 6044, 454, 8196, 713, 547, 2557, 2835, 267, 711, 707, 1126, 563, 8340, 2835, 602, 616, 2653, 585, 707, 1126, 547, 1224, 543, 1577, 1864, 1224, 267, 1224, 267, 1224, 269, 14168, 2835, 2285, 707, 1126, 4316, 547, 19597, 622, 1010, 2542, 1983, 269, 1358, 948, 1864, 1451, 519, 2653, 1455, 1913, 602, 616, 1031, 1586, 543, 1586, 269, 14168, 2835, 948, 707, 1126, 547, 1451, 547, 1224, 12347, 543, 6385, 1107, 2394, 621, 3587, 13128, 269, 14168, 2835, 4001, 602, 2542, 568, 1187, 563, 16605, 621, 2241, 267, 1445, 593, 519, 9238, 267, 543, 3314, 602, 707, 1126, 1869, 2115, 547, 581, 3257, 6266, 540, 968, 9418, 8631, 9731, 5649, 16965, 942, 5932, 513, 8748, 4276, 609, 707, 1126, 267, 855, 621, 849, 2488, 4316, 585, 10071, 531, 1565, 269, 2659, 1126, 786, 1451, 602, 596, 1224, 689, 2451, 547, 1318, 267, 1376, 6998, 2055, 827, 1913, 267, 543, 2253, 2369, 2358, 5022, 543, 1913, 563, 17004, 606, 1719, 538, 2835, 3054, 269, 17546, 707, 1126, 1141, 547, 979, 547, 1265, 1344, 630, 1278, 982, 5616, 256, 1916, 288, 3099, 540, 2833, 2337, 513, 1126, 1628, 543, 1719, 538, 543, 606, 1620, 540, 1919, 789, 786, 5555, 1224, 827, 563, 10673, 1406, 2911, 1524, 547, 707, 1453, 269, 2422, 1483, 1913, 267, 2937, 20695, 1913, 543, 2491, 1018, 789, 1611, 952, 2556, 563, 23458, 1646, 568, 835, 540, 519, 2596, 23944, 28987, 585, 2542, 269, 2659, 1126, 786, 5299, 707, 12332, 543, 707, 6073, 540, 6340, 269, 12315, 707, 1126, 4316, 547, 2769, 5128, 543, 547, 2995, 2621, 538, 5311, 563, 5938, 778, 707, 1126, 547, 6432, 269, 11559, 1864, 547, 1867, 593, 1018, 789, 723, 4862, 269, 9105, 1864, 547, 10956, 5528, 596, 4076, 2016, 543, 1427, 749, 2984, 646, 4862, 563, 306, 895, 707, 1913, 856, 5693, 269, 2422, 2407, 9067, 5322, 267, 21179, 908, 952, 2556, 269, 5269, 621, 1187, 547, 3717, 1434, 2296, 269, 5213, 1406, 2503, 707, 1126, 547, 24969, 782, 741, 1913, 7157, 2394, 789, 616, 1472, 2085, 5216, 610, 8370, 563, 8967, 7505, 2296, 568, 1419, 27507, 540, 1434, 8239, 269, 2142, 6297, 547, 3717, 1134, 543, 707, 1453, 786, 6923, 798, 519, 1482, 563, 8196, 1919, 1472, 596, 538, 606, 10071, 531, 1259, 1107, 23611, 10833, 267, 4155, 4191, 269, 2142, 3280, 6857, 543, 1118, 621, 1187, 563, 13014, 6529, 593, 10297, 585, 1455, 7622, 3615, 543, 723, 707, 1126, 2322, 873, 1141, 789, 4866, 563, 2467, 596, 979, 256, 1411, 666, 4001, 707, 1126, 547, 1224, 563, 3674, 3450, 707, 1126, 547, 1224, 2566, 532, 596, 1312, 286, 1772, 621, 942, 547, 1394, 1055, 543, 4137, 513, 1007, 1544, 540, 2962, 610, 798, 930, 968, 9418, 8631, 892, 585, 513, 1247, 888, 5157, 316, 634, 21988, 23467, 1041, 7731, 18361, 267, 476, 6200, 267, 3220, 31434, 1299, 16910, 18333, 18703, 454, 314, 4512, 316, 5851, 13910, 9752, 267, 476, 16825, 2073, 3220, 31434, 1299, 16910, 18333, 18703, 267, 609, 667, 12447, 18703, 267, 631, 269, 589, 1421, 22186, 22220, 918, 867, 523, 321, 13702, 267, 589, 269, 645, 1421, 543, 808, 565, 2940, 744, 1873, 12245, 267, 12854, 563, 5157, 316, 14568, 17623, 982, 7216, 267, 18703, 267, 476, 3583 ]

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

[ 267, 661, 12915, 9990, 13386, 28369, 630, 306, 264, 1312, 14526, 585, 6694, 2244, 538, 519, 3162, 267, 596, 7447, 519, 3747, 585, 10412, 547, 581, 595, 623, 595, 476, 271, 269, 1839, 303, 590, 476, 271, 269, 2004, 296, 267, 1141, 623, 595, 568, 519, 3902, 540, 10412, 267, 623, 590, 519, 3902, 540, 13386, 28369, 267, 543, 594, 4747, 269, 9701, 596, 1489, 610, 28586, 519, 1544, 286, 1772, 972, 1022, 3606, 1344, 602, 1131, 948, 596, 547, 1683, 513, 17046, 2626, 286, 1403, 2504, 540, 10412, 568, 2759, 538, 3368, 267, 1287, 519, 3902, 540, 10412, 786, 2333, 267, 2016, 602, 519, 3830, 1657, 2982, 602, 3747, 568, 18746, 1793, 14563, 630, 26238, 519, 1129, 593, 623, 595, 568, 2942, 1040, 2060, 3902, 2810, 543, 7274, 18796, 13302, 267, 8907, 1223, 979, 2901, 1259, 269, 898, 5673, 593, 2436, 3747, 568, 13412, 610, 538, 601, 2880, 269, 1403, 3747, 568, 13412, 267, 513, 6175, 538, 2504, 543, 606, 2333, 538, 3902, 1131, 6175, 8907, 269, 1403, 3747, 568, 538, 601, 2880, 267, 513, 6175, 538, 2504, 543, 606, 2333, 538, 3902, 1131, 2333, 8907, 269, 1411, 991, 513, 2603, 540, 1344, 1354, 596, 666, 2285, 513, 17046, 2626, 269, 3689, 267, 596, 1590, 917, 519, 1699, 5777, 585, 10412, 543, 13386, 28369, 7132, 519, 1377, 540, 4747, 282, 1287, 596, 666, 5173, 519, 7274, 540, 10412, 18796, 267, 595, 269, 8921, 267, 596, 723, 547, 2759, 595, 538, 3368, 543, 3313, 519, 1198, 602, 786, 723, 593, 519, 3902, 540, 10412, 267, 14322, 602, 4747, 543, 519, 3902, 540, 13386, 28369, 616, 711, 4299, 630, 6518, 568, 513, 2462, 13429, 1040, 3973, 596, 666, 5173, 519, 3312, 8907, 543, 519, 1007, 8907, 547, 1294, 2436, 713, 2962, 4679, 2818, 19614, 610, 711, 563, 6224, 22790, 476, 274, 12164, 306, 9331, 2207, 18688, 11190, 9654, 3036, 12327, 2207, 290, 3041, 2464, 476, 273, 269, 8571, 519, 967, 29924, 14258, 585, 519, 1739, 2043, 7375, 585, 1079, 5370, 281, 554, 27304, 619, 543, 14420, 269, 513, 269, 1325, 15055, 14420, 855, 554, 919, 554, 27304, 619, 269, 1261, 2141, 27422, 454, 263, 8269, 518, 22391, 5384, 281, 476, 876, 281, 2764, 264, 15440, 658, 13188, 4515, 269, 570, 4533, 328, 631, 880, 571, 590, 12282, 8160, 269, 3427, 540, 5004, 4095, 4659, 540, 5303, 267, 25512, 599, 17976, 910, 476, 1724, 19901, 29007, 630, 6944, 323, 3738, 1284, 786, 3136, 938, 4901, 454, 288, 7869, 540, 19901, 10263, 2776, 3916, 514, 2456, 476, 272, 269, 4985, 634, 4909, 2243, 538, 9297, 568, 476, 273, 269, 19901, 2776, 325, 3720, 9717, 3908, 2200, 267, 875, 616, 5370, 543, 3028, 21248, 286, 476, 272, 476, 274, 269, 1473, 29924, 454, 272, 269, 6904, 540, 519, 1739, 1131, 6521, 519, 3747, 7455, 585, 1007, 9499, 547, 519, 1318, 286, 513, 269, 589, 2887, 538, 519, 3902, 540, 1957, 1031, 538, 13629, 5931, 269, 536, 269, 589, 2887, 538, 519, 3902, 540, 6697, 1031, 1257, 2835, 269, 524, 563, 14976, 2880, 640, 594, 269, 1548, 568, 4432, 2880, 640, 286, 634, 3483, 540, 713, 3296, 568, 547, 1020, 930, 2489, 3652, 827, 22786, 267, 799, 949, 873, 581, 4294, 547, 519, 2185, 1114, 1808, 2010, 540, 22786, 5941, 538, 454, 300, 8991, 384, 364, 301, 6167, 4353, 8991, 14510, 674, 3722, 17109, 312, 5508, 18598, 6730, 5084, 300, 2562, 8780, 6938, 20937, 14662, 384, 364, 27301, 2464, 667, 7968, 11286, 16774, 5508, 18598, 631, 2975, 4629, 4488, 16688, 12903, 631, 2839, 9898, 300, 12327, 4456, 667, 12442, 476, 1240, 269, 1556, 269, 1001, 272, 570, 384, 364, 23966, 476, 1321, 281, 1789, 22295, 7728, 715, 28719, 6730, 715, 9331, 21612, 631, 8085, 2316, 303, 4041, 8863, 302, 21201, 269, 7994, 519, 835, 454, 6637, 476, 273, 281, 19901, 14893, 10374, 8382, 5999, 476, 272, 269, 16684, 569, 2491, 1018, 606, 967, 29924, 7455, 568, 543, 875, 621, 666, 581, 3113, 1227, 6508, 269, 8382, 281, 1323, 967, 29924, 7455, 2982, 519, 1305, 540, 4616, 15985, 956, 454, 20779, 663, 17976, 476, 274, 7335, 281, 3131, 5979, 3848, 476, 275, 4864, 476, 1001, 276, 476, 272, 1315, 476, 6812, 4985, 1284, 4718, 519, 3747, 7455, 538, 3184, 476, 273, 269, 1284, 4121, 827, 7082, 3375, 1818, 538, 3184, 476, 274, 269, 3767, 649, 8115, 519, 7934, 1063, 519, 454, 4488, 2177, 476, 9818, 267, 476, 1220, 279, 268, 273, 4888, 14684, 8991, 9215, 670, 26041, 20796, 298, 6789, 306, 22218, 300, 19006, 9603, 519, 10432, 540, 4873, 476, 2537, 3848, 476, 279, 654, 305, 25492, 476, 2422, 519, 3747, 8430, 602, 5205, 547, 5173, 2698, 8907, 543, 8589, 8907, 693, 1142, 7274, 269, 18140, 454, 19370, 5590, 1948, 276, 268, 7659, 12312, 5448, 3557, 2160, 13188, 476, 25134, 24493, 23059, 5843, 11296, 7869, 3220, 19923, 15362, 630, 272, 264, 14597, 602, 596, 616, 9878, 707, 585, 707, 1378, 2069, 543, 602, 707, 2852, 24875, 568, 1269, 1220, 829, 454, 8256, 10179, 14893, 281, 519, 24637, 17121, 540, 519, 10369, 3117, 28366, 3068, 10148, 593, 741, 5079, 1317, 789, 723, 3908, 26038, 269, 32100, 344, 543, 4057, 2043, 723, 3908, 23348, 3448, 547, 741, 13821, 563, 292, 21643, 476, 22145, 8745, 9046, 5590, 476, 275, 476, 276, 5239, 476, 1220, 278, 20907, 20514, 543, 1473, 29924, 4354, 1407, 543, 519, 19901, 8838, 3065, 476, 272, 269, 3474, 557, 345, 267, 513, 14278, 1108, 2875, 267, 814, 21248, 1269, 6344, 829, 3923, 547, 6108, 593, 1957, 3724, 9089, 454, 292, 935, 476, 1001, 6657, 4530, 476, 272, 7905, 966, 269, 7066, 3387, 26792, 631, 8085, 2316, 303, 4041, 8863, 302, 21201, 269, 7994, 519, 835, 4244, 602, 1655, 29349, 519, 3948, 610, 4267, 519, 2243, 269, 476, 272, 264, 2480, 19062, 666, 1655, 581, 3989, 607, 513, 3510, 538, 799, 912, 4488, 301, 476, 21854, 3848, 476, 276, 2259, 2042, 901, 568, 711, 1813, 585, 513, 3446, 476, 272, 269, 27539, 519, 3902, 540, 16741, 568, 1269, 273, 269, 876, 543, 519, 3902, 540, 2142, 518, 568, 1269, 272, 269, 876, 543, 602, 693, 707, 1699, 2157, 540, 4616, 267, 519, 12540, 1400, 7780, 1006, 454, 17273, 476, 272, 540, 476, 1704, 476, 272, 269, 27539, 519, 3902, 22786, 540, 3747, 585, 772, 2529, 269, 2605, 529, 23331, 3213, 269, 2605, 529, 32048, 568, 476, 271, 269, 276, 269, 1403, 519, 2754, 4679, 519, 3902, 540, 1142, 2605, 529, 23331, 689, 1269, 1321, 547, 1269, 1626, 267, 519, 1297, 540, 2605, 529, 32048, 18796, 786, 28206, 848, 454, 6637, 476, 275, 910, 4432, 2880, 640, 910, 12726, 5999, 631, 8085, 2316, 303, 4041, 8863, 302, 21201, 269, 7994, 519, 835, 4244, 602, 1655, 29349, 519, 3948, 610, 4267, 519, 2243, 269, 476, 272, 264, 634, 9386, 540, 513, 3747, 7455, 5673, 593, 589, 264, 519, 4559, 1031, 454, 17206, 540, 7414, 7232, 21643, 476, 7871, 17976, 11872, 1948, 1704, 594, 269, 4985, 547, 12525, 566, 6554, 4249, 606, 1271, 1909, 538, 1034, 2413, 11615, 269, 769, 519, 2136, 2276, 267, 519, 1909, 540, 519, 2229, 11498, 689, 454, 5715, 29924, 4354, 1407, 281, 1323, 7151, 630, 653, 269, 476, 4792, 268, 8064, 264, 10369, 31336, 589, 645, 667, 661, 717, 670, 19590, 540, 5253, 476, 736, 476, 1015, 476, 2412, 476, 1789, 476, 1015, 476, 1015, 19590, 540, 1849, 5847, 476, 1789, 476, 2004, 476, 736, 476, 2412, 476, 736, 476, 2412, 3848, 476, 274, 476, 272, 1473, 29924, 4354, 1407, 281, 1323, 7151, 630, 653, 269, 476, 4792, 268, 8064, 264, 8641, 519, 454, 24687, 593, 967, 29924, 7455, 2079, 540, 519, 3903, 1063, 16837, 543, 4074, 267, 543, 519, 4666, 7076, 2530, 540, 21259, 13744, 25234, 6359, 320, 901, 1383, 2982, 875, 547, 946, 513, 6578, 23061, 543, 967, 29924, 7455, 6516, 454, 6637, 476, 274, 634, 10417, 540, 4432, 2880, 640, 543, 19901, 543, 887, 706, 1356, 5080, 15200, 3848, 20505, 2991, 2542, 713, 3184, 596, 1058, 581, 2111, 547, 13760, 602, 22786, 267, 519, 30506, 540, 7274, 547, 2242, 454, 272, 1215, 547, 5530, 585, 4147, 476, 275, 281, 634, 10318, 514, 1218, 540, 24637, 543, 18242, 3848, 476, 275, 12857, 519, 2188, 602, 786, 6521, 519, 6521, 7132, 1079, 1007, 22786, 2035, 269, 476, 272, 269, 10670, 676, 3168, 936, 519, 20505, 7396, 454, 6224, 22790, 476, 278, 281, 12164, 306, 9331, 2207, 18688, 11190, 9654, 3036, 4985, 634, 7082, 568, 3844, 547, 513, 2344, 4346, 267, 543, 1620, 875, 6800, 1118, 741, 11449, 3664, 568, 519, 1883, 547, 1620, 3747, 269, 3848, 476, 278, 6941, 454, 292, 935, 476, 27183, 275, 12096, 476, 1220, 277, 4530, 476, 272, 3220, 269, 681, 6269, 8745, 6178, 623, 1578, 594, 723, 9444, 2016, 6862, 4607, 5351, 593, 713, 981, 13038, 14893, 5999, 630, 274, 2798, 1142, 264, 476, 272, 269, 1548, 596, 2285, 909, 547, 3489, 606, 6221, 568, 1572, 707, 589, 563, 25582, 476, 272, 281, 12793, 543, 12307, 17644, 281, 5623, 3252, 29130, 9781, 1210, 5276, 543, 13392, 3252, 14572, 4834, 543, 1949, 21909, 539, 30930, 3367, 902, 281, 3848, 476, 273, 281, 476, 273, 269, 272, 268, 273, 269, 273, 267, 543, 3848, 454, 6637, 476, 274, 10369, 24637, 267, 18242, 267, 543, 4432, 2880, 640, 2991, 2542, 3184, 476, 274, 267, 27107, 298, 4953, 667, 4932, 13263, 267, 590, 16810, 12195, 312, 267, 6730, 20700, 3008, 12087, 14510, 267, 596, 1058, 581, 2111, 547, 281, 9181, 519, 4521, 540, 24637, 543, 2721, 513, 24637, 4354, 557, 269, 31692, 880, 1063, 454, 320, 32516, 476, 277, 281, 20700, 3008, 12087, 14510, 267, 12164, 306, 9331, 2207, 590, 7838, 12195, 4785, 267, 6730, 11550, 23604, 2207, 590, 7838, 12195, 4785, 4985, 19901, 6114, 547, 2242, 538, 5777, 267, 26038, 267, 543, 5777, 540, 1644, 2472, 666, 581, 6045, 676, 519, 1523, 540, 22786, 563, 6637, 476, 275, 20700, 3008, 12087, 14510, 12313, 4432, 2880, 640, 540, 24637, 13445, 281, 634, 12313, 4432, 2880, 640, 540, 24637, 476, 272, 264, 634, 9386, 540, 513, 3747, 7455, 5673, 593, 589, 264, 519, 4559, 1031, 547, 2268, 3902, 543, 519, 4559, 1031, 547, 2268, 7274, 563, 20797, 13038, 14893, 5999, 12226, 616, 12050, 539, 269, 4112, 534, 725, 547, 2097, 4166, 8627, 1280, 811, 267, 5225, 3643, 281, 5291, 2517, 322, 12973, 6230, 1170, 712, 626, 622, 12975, 270, 7517, 11169, 523, 11305, 12973, 27160, 1723, 13679, 270, 336, 18091, 21867, 10369, 4982, 10329, 543, 10241, 454, 274, 24637, 267, 18242, 267, 543, 10369, 4982, 10329, 634, 3902, 540, 29877, 568, 536, 23395, 269, 589, 11304, 630, 273, 269, 273, 6550, 264, 540, 29877, 10365, 4421, 585, 1269, 2004, 538, 476, 1220, 271, 267, 855, 676, 476, 1220, 274, 519, 3902, 1185, 24111, 547, 1269, 4335, 829, 11304, 269, 634, 3902, 454, 291, 4932, 13263, 11123, 4488, 3008, 16249, 5291, 2517, 4178, 6745, 583, 3645, 338, 4812, 2593, 270, 2006, 4526, 658, 21223, 21643, 7933, 655, 663, 318, 1150, 26511, 21867, 14645, 18862, 4812, 2593, 24637, 24637, 568, 513, 4922, 1031, 2165, 267, 543, 538, 1455, 568, 2808, 24190, 609, 454, 6637, 476, 1556, 25783, 293, 17614, 19766, 292, 2316, 3582, 26269, 13445, 281, 17828, 26269, 476, 272, 264, 17828, 6735, 568, 606, 2872, 609, 589, 264, 513, 1906, 10909, 6721, 9838, 5370, 645, 264, 513, 1906, 10909, 6721, 5370, 602, 8428, 10169, 454, 299, 15145, 476, 273, 269, 12540, 1400, 12793, 267, 19105, 12793, 267, 4432, 2880, 640, 267, 519, 12540, 1400, 20232, 267, 543, 4790, 11712, 26659, 476, 273, 269, 272, 269, 4985, 14597, 602, 606, 2804, 2078, 666, 581, 4330, 676, 513, 1483, 29705, 4240, 454, 306, 1556, 4149, 14444, 318, 298, 2607, 2006, 273, 324, 318, 4916, 318, 2419, 272, 269, 336, 343, 335, 476, 280, 270, 1626, 270, 279, 476, 280, 281, 2641, 6751, 8525, 590, 268, 1556, 634, 21929, 19901, 3184, 281, 476, 272, 476, 272, 269, 1280, 1142, 540, 519, 1739, 3871, 267, 6430, 2436, 1325, 814, 2810, 267, 3586, 267, 610, 32033, 8589, 10626, 563, 300, 553, 776, 330, 2160, 910, 5696, 7224, 4972, 540, 13188, 20513, 540, 13188, 543, 10029, 645, 14154, 318, 300, 2975, 272, 5843, 31754, 476, 272, 12096, 12054, 6856, 476, 1001, 272, 15937, 11929, 910, 476, 4962, 269, 1321, 269, 1001, 272, 267, 476, 280, 281, 876, 268, 1015, 281, 1789, 513, 6230, 269, 4530, 589, 13832, 543, 16390, 912, 11243, 1106, 1297, 476, 272, 13188, 476, 1911, 288, 15937, 11929, 19130, 538, 519, 18616, 593, 707, 1085, 656 ]

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

[ 563, 14367, 1101, 1433, 729, 513, 1650, 267, 570, 2586, 689, 519, 2037, 5519, 630, 6245, 273, 1070, 543, 538, 476, 6245, 276, 646, 3370, 513, 13357, 267, 631, 867, 1042, 282, 855, 621, 729, 519, 8313, 540, 1010, 3440, 6758, 267, 1520, 18029, 1023, 2353, 630, 6245, 278, 1070, 602, 2813, 1010, 5339, 10639, 563, 309, 659, 4100, 30501, 267, 972, 616, 910, 3941, 267, 1728, 332, 985, 267, 13348, 5328, 9954, 267, 3440, 6758, 267, 11430, 3740, 543, 1705, 12519, 9954, 267, 930, 540, 873, 1851, 519, 1034, 4190, 538, 519, 1893, 563, 3891, 6394, 681, 3861, 1014, 2442, 8964, 543, 22176, 322, 268, 3440, 6758, 630, 291, 727, 267, 476, 7277, 275, 264, 630, 299, 997, 1090, 1470, 732, 267, 476, 6977, 274, 1916, 763, 4015, 540, 18912, 8941, 3323, 2663, 982, 602, 540, 519, 3440, 6758, 563, 16449, 1010, 824, 11430, 3740, 12531, 267, 540, 7389, 4505, 982, 519, 6406, 2782, 267, 941, 700, 904, 540, 1250, 5851, 630, 7277, 274, 1070, 966, 7860, 540, 15213, 630, 7277, 277, 1070, 14576, 338, 540, 8534, 630, 6977, 271, 1070, 634, 30989, 540, 519, 19555, 1080, 630, 6977, 274, 1070, 634, 7754, 528, 4821, 630, 6977, 277, 1070, 5851, 11831, 6758, 630, 5908, 271, 1916, 2026, 513, 10564, 646, 729, 9247, 513, 3440, 611, 626, 267, 609, 519, 24966, 540, 1010, 7907, 282, 543, 1010, 3440, 6758, 267, 538, 741, 5191, 267, 14255, 25771, 23439, 2946, 267, 1256, 538, 741, 3768, 826, 3259, 267, 616, 1851, 519, 1906, 2413, 1806, 540, 5667, 2684, 10184, 14235, 563, 2005, 568, 2556, 1657, 782, 547, 2015, 519, 6935, 540, 513, 1004, 781, 1296, 540, 2208, 543, 7542, 618, 547, 519, 5152, 799, 4564, 873, 282, 585, 538, 519, 12490, 540, 1733, 8636, 1512, 267, 811, 982, 538, 1346, 540, 1022, 824, 476, 866, 628, 10601, 11430, 2077, 267, 519, 6031, 540, 674, 2280, 7815, 540, 17865, 1735, 607, 547, 519, 3440, 6758, 543, 4031, 540, 513, 4182, 9060, 513, 8978, 14745, 563, 5591, 5880, 1228, 2479, 1185, 513, 1854, 518, 31444, 622, 982, 519, 2278, 540, 834, 634, 9098, 32013, 12624, 2437, 834, 634, 12815, 7394, 14594, 834, 910, 835, 540, 1010, 588, 15781, 3440, 6758, 1996, 513, 942, 1606, 6326, 5783, 268, 834, 589, 590, 30117, 26657, 2437, 543, 834, 634, 6215, 2314, 540, 9410, 1664, 4799, 10214, 519, 20048, 1834, 3587, 803, 698, 516, 513, 1906, 1296, 1310, 21238, 338, 2669, 267, 543, 922, 1871, 5673, 7361, 2390, 519, 3440, 6758, 799, 621, 16621, 282, 6862, 568, 621, 1570, 569, 29979, 676, 519, 2729, 540, 853, 14480, 16330, 267, 585, 688, 22080, 5505, 723, 2760, 5701, 3140, 6111, 607, 513, 2339, 540, 4090, 282, 543, 938, 1702, 540, 519, 2063, 2540, 540, 17454, 306, 19414, 1686, 568, 6508, 5631, 689, 17454, 9539, 768, 534, 5830, 945, 5206, 1310, 519, 22374, 1230, 26810, 563, 763, 5212, 525, 799, 646, 3370, 693, 519, 2085, 540, 8938, 267, 8098, 10928, 585, 741, 21245, 535, 969, 712, 543, 21711, 267, 1522, 723, 1044, 8806, 519, 960, 540, 513, 14952, 331, 748, 7911, 282, 519, 3440, 6758, 799, 4553, 873, 1079, 1296, 2663, 7000, 1864, 607, 513, 1390, 10564, 267, 513, 2067, 4487, 540, 11430, 878, 543, 3860, 5152, 563, 289, 4650, 3440, 6758, 19582, 513, 10058, 1747, 538, 2296, 3332, 563, 288, 340, 8538, 778, 543, 1955, 1067, 10458, 267, 543, 585, 3875, 3440, 6758, 267, 540, 799, 930, 2611, 1360, 2442, 538, 5125, 630, 5408, 17012, 651, 267, 27055, 553, 670, 21580, 708, 700, 1221, 324, 267, 769, 985, 321, 30638, 267, 476, 6642, 275, 1916, 289, 12360, 30532, 324, 5206, 3303, 1243, 1219, 1878, 540, 29842, 534, 9753, 543, 3370, 1896, 12531, 540, 14235, 267, 16113, 4168, 11831, 6758, 630, 7277, 276, 1916, 763, 4367, 540, 519, 546, 11961, 267, 3440, 6758, 630, 528, 585, 333, 330, 17771, 2664, 267, 607, 789, 616, 1631, 1572, 264, 585, 13465, 267, 609, 513, 11411, 267, 2356, 11341, 547, 513, 2648, 2389, 1446, 267, 799, 941, 30140, 2442, 609, 519, 1004, 543, 5340, 676, 2898, 3549, 693, 12311, 26204, 267, 586, 2544, 905, 6814, 543, 519, 899, 267, 1185, 2124, 326, 730, 519, 2834, 19360, 545, 6965, 547, 811, 3978, 2621, 610, 547, 519, 811, 16916, 540, 519, 8783, 338, 563, 1103, 19220, 540, 519, 1082, 2168, 11605, 525, 602, 26693, 2390, 519, 6532, 267, 3440, 6758, 630, 1721, 333, 330, 17771, 2664, 264, 941, 1869, 2854, 267, 2781, 2084, 827, 476, 11260, 271, 267, 26079, 584, 7768, 267, 543, 811, 14969, 15885, 3370, 563, 8170, 1010, 9954, 949, 581, 5018, 634, 744, 987, 267, 513, 3126, 540, 1034, 4190, 3440, 6758, 267, 609, 513, 911, 326, 673, 2648, 3613, 800, 540, 519, 476, 1704, 628, 2540, 607, 741, 3490, 267, 855, 609, 1082, 543, 6126, 30237, 673, 782, 16272, 547, 2413, 1272, 282, 808, 302, 745, 526, 337, 267, 513, 1279, 6648, 827, 519, 20903, 4622, 267, 519, 20636, 19266, 622, 808, 3073, 27255, 267, 945, 5176, 16309, 538, 1818, 5128, 519, 4487, 540, 19360, 267, 543, 634, 674, 622, 540, 519, 29331, 543, 634, 9093, 540, 519, 4639, 630, 1492, 4892, 1070, 1079, 9954, 799, 267, 609, 741, 4550, 12641, 518, 673, 543, 3368, 1606, 3469, 2065, 21274, 267, 723, 3361, 2178, 17600, 689, 31249, 13162, 534, 23464, 563, 5472, 5049, 10508, 538, 6217, 610, 703, 11238, 519, 11995, 32741, 799, 8661, 519, 905, 1846, 540, 741, 3084, 12325, 282, 585, 1169, 3020, 5395, 321, 2729, 607, 1454, 538, 519, 2250, 607, 538, 519, 1459, 267, 543, 10120, 10617, 1869, 7683, 29939, 4798, 540, 1007, 17691, 543, 3440, 6758, 563, 21132, 1686, 568, 967, 1170, 565, 889, 569, 954, 342, 8576, 609, 602, 540, 519, 853, 758, 822, 857, 267, 799, 6038, 25436, 17660, 621, 267, 543, 2968, 519, 5339, 1893, 540, 782, 519, 5395, 2692, 290, 549, 1846, 267, 607, 621, 1185, 1279, 1044, 519, 1893, 540, 519, 1655, 3084, 3440, 6758, 543, 17691, 563, 1607, 7415, 6648, 267, 2854, 538, 519, 25451, 540, 519, 2025, 4419, 1014, 3440, 6758, 267, 3947, 513, 12667, 6609, 540, 1272, 538, 18548, 11844, 896, 15349, 4341, 267, 543, 540, 519, 22420, 8473, 21535, 338, 1063, 10271, 543, 17018, 548, 916, 269, 769, 2663, 1272, 631, 1794, 584, 23307, 13747, 5128, 607, 513, 2829, 2006, 267, 543, 2968, 7333, 540, 23886, 807, 689, 476, 6942, 274, 547, 476, 6642, 271, 563, 763, 6648, 267, 2687, 547, 700, 778, 10458, 267, 729, 1759, 593, 930, 8938, 2442, 3440, 6758, 267, 8385, 19942, 1524, 30375, 267, 855, 2854, 1524, 827, 476, 15686, 271, 610, 476, 6344, 271, 563, 763, 476, 15094, 3515, 602, 1246, 616, 2854, 538, 22565, 7008, 1206, 538, 519, 2511, 540, 519, 2442, 3440, 6758, 1455, 547, 519, 1974, 563, 295, 14019, 22283, 538, 13465, 13677, 3440, 6758, 267, 609, 8216, 1967, 563, 5445, 7618, 513, 2370, 3787, 540, 2038, 623, 1460, 625, 11544, 9543, 855, 20807, 532, 3440, 6758, 799, 10393, 1011, 1712, 883, 13176, 6846, 563, 3891, 20866, 4797, 547, 17492, 10156, 3440, 6758, 1759, 5097, 593, 27079, 5389, 563, 2005, 729, 1101, 3370, 538, 11430, 3740, 3440, 6758, 267, 609, 513, 1906, 824, 9954, 538, 476, 9692, 279, 563, 12507, 1399, 781, 2549, 523, 14674, 621, 538, 476, 736, 1913, 700, 1947, 681, 261, 289, 26107, 609, 513, 1906, 14887, 9997, 995, 3440, 6758, 547, 948, 3666, 1919, 856, 563, 288, 2484, 3956, 689, 519, 11509, 21088, 3440, 6758, 547, 1246, 563, 3891, 7691, 602, 1010, 2511, 729, 811, 14018, 547, 3500, 267, 2366, 14939, 3440, 6758, 267, 799, 2968, 1010, 22028, 563, 302, 12118, 7140, 538, 513, 5266, 22161, 8826, 2034, 2594, 267, 4904, 609, 2462, 267, 32154, 3440, 6758, 3079, 540, 678, 6235, 4224, 619, 563, 4517, 22556, 267, 972, 781, 513, 2603, 540, 27277, 267, 1175, 607, 972, 616, 513, 2603, 540, 23836, 4571, 2389, 11391, 334, 3440, 6758, 563, 10000, 2394, 4873, 476, 1220, 272, 649, 723, 1336, 1614, 3440, 6758, 543, 1614, 7803, 3376, 338, 1938, 799, 616, 6131, 547, 5261, 6022, 1067, 563, 5591, 269, 736, 910, 634, 25725, 667, 913, 630, 305, 3716, 476, 32455, 264, 910, 713, 2442, 561, 3512, 568, 3254, 547, 723, 7960, 689, 27867, 2540, 3376, 2515, 3440, 6758, 563, 763, 476, 15094, 3515, 602, 1246, 616, 2854, 538, 6586, 2719, 7008, 1206, 538, 519, 2511, 540, 519, 2442, 3440, 6758, 1455, 547, 519, 1974, 563, 5445, 849, 723, 513, 2647, 27132, 543, 2709, 1312, 5256, 543, 4775, 4938, 1023, 267, 3501, 585, 973, 11661, 1346, 5256, 11721, 24580, 5918, 657, 543, 3440, 6758, 563, 4517, 972, 616, 930, 24215, 2178, 543, 18991, 5283, 21288, 543, 3001, 3440, 6758, 971, 607, 1412, 296, 3513, 5700, 1412, 4586, 5226, 924, 5693, 267, 1093, 2286, 3440, 6758, 19582, 513, 13395, 540, 741, 1378, 538, 3376, 2515, 8228, 2474, 563, 13706, 267, 585, 1383, 267, 519, 3440, 6758, 540, 930, 540, 519, 11509, 15023, 563, 14549, 9605, 8711, 782, 634, 8871, 1047, 781, 9342, 267, 1519, 782, 13050, 4224, 619, 267, 12636, 32688, 3440, 6758, 543, 6905, 3134, 923, 563, 2521, 2347, 1151, 657, 538, 513, 3099, 540, 6163, 689, 3440, 6758, 547, 2826, 16647, 782, 713, 6462, 609, 13176, 29601, 563, 14367, 3159, 729, 2283, 783, 543, 3826, 1506, 267, 5594, 4652, 21682, 267, 543, 646, 729, 513, 1390, 1685, 518, 540, 3440, 6758, 563, 27001, 476, 9873, 271, 543, 476, 5611, 271, 267, 2705, 267, 621, 568, 9277, 602, 519, 918, 10937, 655, 701, 6665, 518, 267, 610, 20636, 3440, 6758, 267, 513, 1804, 4015, 540, 827, 1924, 334, 3134, 673, 543, 11430, 3740, 9954, 267, 941, 8385, 7768, 267, 543, 891, 1106, 519, 1034, 10475, 9371, 540, 519, 16862, 540, 519, 1647, 6502, 267, 2436, 24565, 13840, 610, 10564, 1227, 563, 1103, 713, 1259, 267, 4352, 519, 3504, 3440, 6758, 616, 711, 16618, 267, 1007, 1913, 616, 849, 19034, 547, 519, 27674, 633, 12563, 2389, 17480, 630, 325, 15606, 264, 799, 1169, 3484, 11804, 6487, 543, 521, 902, 267, 10483, 3006, 676, 513, 678, 8775, 5587, 6839, 610, 9126, 335, 6346, 267, 855, 811, 4749, 676, 519, 865, 10777, 14082, 13176, 910, 606, 6293, 799, 20998, 513, 8260, 22223, 2864, 982, 519, 1368, 527, 1513, 540, 7977, 543, 8050, 563, 14549, 9605, 8711, 782, 634, 8871, 1047, 1412, 338, 9342, 267, 1519, 782, 13050, 4224, 619, 267, 12636, 32688, 3440, 6758, 543, 6905, 3134, 923, 563, 2467, 616, 536, 1735, 1097, 5824, 1402, 2338, 267, 6404, 609, 9997, 995, 3440, 6758, 563, 9202, 519, 1305, 3459, 547, 3500, 1524, 609, 513, 3126, 540, 14887, 267, 811, 10847, 995, 267, 3440, 6758, 563, 22832, 18671, 660, 568, 3743, 585, 835, 540, 519, 1034, 11509, 3440, 6758, 538, 2487, 1296, 267, 2943, 952, 1010, 4876, 1185, 1044, 6074, 676, 1010, 4651, 267, 646, 1131, 2760, 723, 22002, 2575, 693, 782, 563, 298, 10154, 781, 2575, 568, 606, 4277, 3575, 540, 7920, 569, 6653, 267, 16367, 2648, 3440, 6758, 543, 1187, 267, 1769, 27329, 2206, 8584, 17489, 8964, 563, 290, 761, 923, 1572, 1200, 3440, 6758, 834, 333, 1021, 908, 257, 543, 1767, 789, 941, 5340, 609, 834, 338, 4428, 20814, 3318, 1143, 4799, 3891, 814, 5950, 1079, 11549, 4548, 2407, 540, 8964, 543, 3440, 6758, 563, 13014, 21363, 3440, 6758, 610, 513, 4224, 514, 262, 19820, 267, 782, 609, 519, 3710, 2987, 28416, 543, 5905, 5496, 563, 30761, 6758, 267, 540, 1576, 267, 616, 14095, 609, 5078, 3515, 267, 2705, 267, 713, 1281, 711, 23868, 824, 8964, 563, 763, 7432, 1448, 538, 519, 27124, 9469, 1167, 2762, 729, 1520, 648, 267, 606, 17581, 540, 4158, 267, 11430, 3740, 3440, 6758, 4904, 609, 7553, 563, 2467, 616, 513, 1434, 5542, 540, 8964, 585, 1022, 31177, 6953, 641, 543, 681, 261, 289, 10178, 267, 609, 930, 8964, 4881, 607, 3440, 6758, 543, 1866, 4881, 513, 2370, 9875, 563, 2005, 781, 1869, 5631, 513, 31177, 6953, 641, 543, 681, 261, 289, 2861, 3280, 10177, 1188, 267, 855, 899, 519, 1101, 3280, 10177, 1188, 267, 814, 3440, 6758, 543, 14887, 8964, 602, 3666, 856, 519, 17581, 563, 1805, 571, 697, 781, 2575, 568, 513, 7848, 540, 2197, 2575, 6163, 1519, 4378, 5652, 268, 2023, 330, 267, 7262, 18711, 267, 543, 2757, 3440, 6758, 563, 1607, 17581, 729, 513, 22576, 689, 1034, 540, 519, 1866, 607, 621, 12286, 6140, 3440, 6758, 543, 3929, 13475, 267, 8272, 337, 1681, 519, 1543, 540, 519, 3803, 4670, 563 ]

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

[ 519, 8021, 543, 10459, 540, 519, 20708, 625, 269, 769, 942, 267, 519, 5783, 13151, 3518, 539, 547, 519, 3046, 8663, 545, 7506, 540, 519, 9518, 1359, 25384, 21847, 267, 607, 25384, 1143, 1336, 922, 1259, 883, 1082, 2853, 540, 519, 5783, 563, 763, 11193, 729, 4535, 538, 519, 12687, 540, 519, 4563, 12280, 267, 799, 25626, 2342, 538, 519, 4571, 21144, 18818, 2540, 282, 1063, 476, 16328, 279, 543, 476, 15389, 278, 930, 17288, 2600, 540, 519, 2518, 2551, 729, 4503, 269, 2060, 519, 1439, 540, 519, 1773, 6558, 267, 519, 2229, 3459, 547, 24644, 543, 3486, 4123, 3459, 547, 10836, 269, 2060, 4123, 267, 2792, 543, 513, 4110, 540, 7254, 640, 538, 2229, 267, 519, 5259, 18544, 941, 2699, 4593, 2642, 282, 519, 11193, 19806, 15701, 563, 1607, 556, 11779, 1782, 540, 2229, 543, 1565, 3459, 547, 708, 6961, 519, 2603, 540, 18495, 269, 19630, 1143, 8719, 14603, 1143, 543, 606, 8561, 593, 519, 15683, 543, 4502, 540, 8103, 7153, 282, 812, 1185, 1761, 585, 513, 1434, 1272, 1631, 267, 711, 3274, 538, 519, 1934, 12898, 563, 763, 3942, 729, 1305, 585, 1480, 1143, 267, 799, 693, 2295, 14064, 1881, 2043, 1996, 519, 834, 15965, 710, 1318, 257, 2278, 23540, 540, 5783, 543, 1533, 269, 898, 568, 1271, 547, 4063, 602, 1480, 1143, 729, 711, 267, 538, 3294, 267, 30137, 547, 8567, 269, 3509, 540, 519, 1390, 8279, 540, 519, 17557, 26746, 941, 1480, 1235, 267, 3843, 547, 7947, 519, 17282, 540, 519, 18348, 5783, 609, 519, 1769, 540, 1702, 12873, 689, 5259, 25196, 269, 634, 11193, 4847, 519, 6392, 540, 519, 5783, 547, 581, 13934, 676, 3401, 540, 519, 17557, 26746, 1765, 5443, 899, 3627, 654, 5670, 858, 324, 267, 9410, 13162, 543, 21853, 5341, 2098, 9405, 2993, 563, 3528, 476, 5611, 271, 589, 6185, 1421, 4789, 1185, 7960, 689, 513, 21432, 267, 22266, 21535, 16117, 630, 324, 697, 540, 519, 29933, 15438, 945, 12199, 4789, 1063, 476, 11793, 277, 543, 476, 16825, 276, 5747, 10795, 7972, 264, 883, 513, 25931, 2229, 269, 8361, 24163, 13264, 609, 519, 4936, 7826, 5783, 538, 476, 14631, 275, 269, 634, 2063, 1934, 6776, 729, 14616, 538, 4789, 538, 476, 14065, 271, 543, 519, 8830, 11939, 7169, 2366, 519, 15815, 15317, 18971, 547, 3013, 538, 476, 14341, 271, 269, 634, 2011, 540, 3909, 5191, 3361, 519, 2296, 25931, 2486, 547, 2243, 875, 2484, 519, 556, 4146, 540, 519, 5783, 1058, 581, 4847, 547, 979, 269, 1358, 4956, 972, 1223, 581, 1100, 7182, 454, 19950, 5944, 267, 1082, 540, 519, 6932, 1390, 3744, 941, 7184, 3909, 281, 31595, 267, 7917, 15196, 548, 543, 267, 5310, 519, 6574, 540, 782, 267, 11184, 21469, 13053, 269, 630, 6097, 547, 835, 3140, 2272, 267, 693, 519, 1439, 540, 1010, 1272, 13053, 6170, 811, 942, 4974, 543, 1603, 827, 519, 6426, 982, 646, 1705, 2257, 8094, 2005, 729, 13053, 267, 4401, 1227, 267, 945, 9788, 519, 13654, 2257, 602, 1131, 581, 1031, 547, 896, 326, 2273, 519, 16712, 1143, 540, 2221, 269, 13053, 781, 10988, 760, 807, 4223, 11490, 320, 630, 12739, 278, 264, 4330, 519, 4031, 540, 5163, 543, 513, 9219, 1740, 7122, 269, 1280, 13053, 267, 519, 7122, 729, 2963, 585, 513, 29763, 2696, 269, 10251, 267, 1866, 1031, 13053, 781, 6436, 547, 4766, 519, 7122, 607, 513, 3684, 602, 1223, 1205, 2059, 1510, 2696, 563, 763, 27867, 2540, 2968, 1634, 607, 519, 6520, 540, 17217, 282, 519, 22733, 267, 519, 21654, 267, 607, 3744, 17388, 547, 1174, 519, 1007, 7122, 602, 7902, 538, 741, 9145, 8554, 543, 24985, 269, 22582, 519, 1158, 729, 28222, 811, 1950, 543, 8748, 982, 4896, 1185, 16545, 269, 10515, 1716, 16307, 7000, 602, 519, 3618, 729, 711, 519, 4099, 540, 519, 7122, 269, 4658, 3459, 547, 2243, 519, 13400, 2272, 540, 5137, 269, 16393, 972, 581, 1776, 7778, 585, 519, 7122, 286, 1403, 519, 6426, 1058, 6961, 547, 581, 4636, 827, 519, 1570, 1158, 267, 1223, 621, 581, 4636, 827, 519, 1360, 2470, 540, 2696, 888, 2005, 568, 1271, 547, 8275, 602, 1454, 540, 1018, 10120, 812, 2219, 519, 6426, 6026, 827, 519, 7122, 729, 711, 1018, 519, 6426, 6026, 693, 782, 269, 13298, 267, 621, 729, 1018, 519, 4540, 5783, 19451, 569, 6956, 519, 6426, 547, 4001, 269, 1879, 31595, 3357, 883, 4655, 609, 519, 4936, 7826, 5783, 267, 646, 729, 711, 538, 4655, 609, 519, 6426, 267, 855, 609, 20093, 821, 748, 2915, 15122, 2035, 602, 519, 5783, 17947, 563, 763, 5783, 267, 538, 824, 1913, 267, 1185, 1031, 519, 6426, 547, 19472, 25768, 10120, 2257, 269, 898, 1631, 1336, 3294, 2915, 3901, 1227, 4448, 547, 606, 18106, 2257, 543, 8572, 547, 1577, 979, 269, 3509, 540, 519, 1007, 3744, 15653, 711, 1018, 519, 6426, 10294, 267, 855, 1018, 519, 5783, 10294, 269, 2334, 11029, 11984, 729, 267, 875, 2479, 267, 1419, 11389, 322, 1758, 1242, 538, 1018, 729, 5935, 909, 547, 581, 513, 6370, 1063, 2257, 543, 2696, 563, 763, 1101, 1900, 4724, 1110, 655, 19473, 1143, 729, 547, 21199, 519, 1702, 540, 519, 13400, 2696, 607, 29763, 543, 2844, 518, 540, 1272, 267, 543, 607, 5837, 1876, 326, 1853, 269, 1306, 1480, 1143, 14064, 1881, 630, 663, 1419, 4998, 1242, 264, 812, 267, 621, 3366, 930, 547, 2307, 952, 789, 1223, 711, 1265, 2696, 1510, 519, 10148, 540, 4168, 2915, 2742, 269, 4256, 1523, 540, 519, 834, 333, 984, 548, 5260, 720, 257, 11516, 3481, 705, 13092, 812, 607, 519, 4865, 528, 540, 513, 834, 11499, 4984, 257, 602, 4847, 1864, 547, 10847, 2696, 1318, 569, 1510, 513, 6426, 610, 824, 1808, 13414, 689, 2696, 269, 901, 1899, 540, 3206, 3366, 547, 632, 1143, 267, 799, 608, 11079, 2696, 689, 519, 25029, 540, 519, 7122, 563, 16631, 18617, 632, 1235, 602, 519, 7122, 729, 513, 3684, 269, 1809, 513, 3684, 1223, 711, 1711, 3294, 281, 1703, 1185, 547, 581, 513, 29763, 9789, 3689, 20531, 269, 634, 7122, 5249, 865, 1134, 543, 676, 971, 10143, 569, 3964, 4031, 602, 789, 4956, 2696, 267, 945, 729, 2556, 547, 1711, 621, 267, 729, 1175, 607, 11991, 547, 2226, 621, 269, 634, 7122, 5249, 1932, 1134, 282, 2696, 1185, 1831, 15988, 1663, 748, 256, 2696, 2968, 519, 834, 306, 1575, 3153, 11115, 545, 2437, 519, 834, 19667, 710, 13772, 20447, 1701, 4658, 3459, 547, 1413, 1369, 2933, 585, 513, 2631, 540, 13919, 563, 24464, 899, 3627, 28676, 540, 4789, 267, 5292, 3279, 790, 540, 5333, 543, 7338, 16962, 540, 3013, 941, 7986, 632, 1235, 269, 1358, 2978, 1819, 585, 4708, 267, 5126, 543, 13919, 267, 1247, 1085, 528, 940, 519, 7000, 4984, 540, 8567, 269, 5292, 3279, 790, 729, 519, 1034, 10795, 538, 1010, 11685, 267, 6031, 540, 519, 4168, 5783, 267, 834, 24979, 2313, 519, 25337, 3364, 10590, 32672, 4705, 4984, 9789, 4984, 540, 519, 6196, 543, 1715, 4530, 14613, 1765, 13195, 2938, 607, 519, 25710, 4185, 547, 519, 2696, 540, 2601, 543, 21481, 563, 5719, 1143, 8959, 1317, 621, 729, 513, 14207, 2990, 269, 634, 632, 1235, 267, 10205, 532, 13414, 267, 5555, 1185, 547, 3442, 581, 649, 523, 16712, 1143, 610, 1624, 738, 1143, 563, 763, 1847, 547, 2407, 16712, 1143, 568, 2938, 538, 6424, 670, 2541, 267, 519, 13677, 14787, 543, 14544, 945, 5206, 4828, 593, 21001, 3380, 538, 476, 14690, 279, 269, 670, 2541, 543, 1866, 3459, 547, 1628, 513, 3760, 540, 3332, 585, 16712, 1143, 269, 1677, 798, 865, 267, 789, 2877, 547, 13720, 519, 7440, 540, 8567, 269, 1358, 2877, 606, 4244, 547, 519, 4168, 7778, 711, 1152, 585, 519, 6988, 543, 5898, 540, 519, 7122, 267, 855, 849, 585, 519, 3929, 543, 7499, 2470, 540, 519, 1480, 2247, 269, 1358, 17388, 609, 713, 3069, 540, 2247, 1765, 339, 3736, 1572, 6530, 269, 13966, 2515, 741, 4528, 540, 519, 13053, 1014, 834, 16447, 3684, 2437, 789, 2919, 922, 6697, 281, 519, 1480, 2247, 3684, 563, 1432, 24084, 2989, 30921, 26218, 729, 513, 19618, 3069, 602, 1223, 2272, 585, 519, 4898, 543, 6988, 540, 519, 1480, 2247, 543, 1560, 1510, 2696, 269, 1215, 1223, 1570, 4229, 4805, 2272, 585, 782, 519, 13300, 540, 519, 7122, 286, 1215, 1223, 789, 2491, 519, 7122, 267, 1519, 3662, 543, 1480, 1272, 267, 1510, 2696, 888, 4322, 2055, 941, 12943, 585, 873, 538, 476, 6977, 280, 676, 8176, 16817, 269, 3571, 3069, 827, 4720, 2451, 606, 1651, 531, 1529, 762, 1764, 593, 5375, 2528, 269, 1284, 786, 3136, 609, 519, 16712, 1235, 262, 2178, 16126, 593, 4720, 543, 2253, 547, 1294, 875, 547, 8396, 621, 538, 519, 1985, 3184, 269, 0, 13233, 1977, 4095, 11595, 13600, 476, 1001, 271, 968, 7468, 728, 538, 938, 11595, 268, 27254, 547, 938, 1323, 6827, 832, 892, 772, 2529, 269, 31654, 1682, 27079, 543, 27079, 10466, 8433, 540, 16844, 543, 6406, 7126, 630, 291, 10135, 1040, 2817, 1977, 4095, 11595, 13600, 5437, 476, 1001, 271, 563, 13233, 1977, 4095, 11595, 13600, 476, 1001, 271, 2108, 7468, 728, 538, 938, 11595, 268, 27254, 547, 938, 1323, 6827, 832, 892, 308, 2529, 269, 31654, 1682, 27079, 543, 27079, 10466, 19423, 823, 540, 16844, 543, 6406, 7126, 630, 291, 10135, 994, 4263, 772, 2529, 269, 31654, 1682, 543, 27079, 10466, 630, 290, 21990, 1070, 649, 3494, 602, 938, 4763, 568, 938, 4222, 269, 595, 21990, 568, 8149, 547, 3246, 2686, 4656, 2238, 543, 3872, 1344, 547, 595, 21990, 5520, 1317, 649, 3494, 602, 676, 2870, 543, 4509, 606, 1604, 540, 2686, 21711, 649, 1332, 6793, 607, 606, 3919, 563, 13233, 1977, 4095, 11595, 13600, 22842, 267, 17767, 543, 26549, 519, 18517, 543, 7418, 540, 519, 1004, 945, 941, 519, 3312, 11317, 267, 17701, 543, 13896, 540, 519, 2136, 2276, 540, 3013, 269, 901, 1032, 779, 2817, 1977, 4095, 11595, 13600, 27484, 568, 267, 968, 7468, 728, 538, 938, 11595, 6953, 517, 528, 547, 938, 1323, 6827, 832, 1848, 901, 6249, 17767, 602, 1977, 12075, 3136, 547, 3337, 938, 2486, 676, 8497, 519, 6561, 540, 741, 11937, 563, 1607, 6881, 568, 2966, 547, 1683, 596, 609, 513, 5618, 7650, 540, 1977, 4095, 1686, 267, 2528, 543, 4978, 563, 2171, 4126, 596, 1265, 713, 6881, 3872, 543, 19278, 563, 13233, 1977, 4095, 11595, 13600, 5437, 476, 1001, 271, 454, 2108, 4131, 721, 2322, 938, 8186, 1927, 543, 1294, 1018, 1272, 649, 666, 1118, 585, 938, 1453, 3034, 307, 520, 17249, 594, 344, 582, 10440, 267, 630, 306, 9231, 18409, 994, 13233, 1977, 4095, 11595, 13600, 5437, 476, 1001, 271, 454, 6097, 547, 519, 7732, 540, 6837, 267, 2817, 1977, 4095, 11595, 13600, 568, 2392, 730, 609, 513, 3018, 14075, 2616, 766, 269, 769, 476, 2735, 277, 6837, 5293, 5398, 4521, 476, 4200, 268, 5325, 272, 2278, 1944, 543, 31392, 5518, 30370, 31144, 547, 605, 8010, 519, 3018, 540, 5437, 476, 2537, 268, 1789, 607, 1977, 4095, 10432, 563, 1103, 476, 2735, 277, 5518, 31144, 9783, 519, 1101, 30814, 1160, 17474, 476, 4649, 278, 278, 605, 8010, 532, 519, 1101, 1977, 4095, 10432, 269, 9050, 1296, 2663, 267, 538, 476, 1960, 271, 5518, 6723, 670, 15030, 269, 17312, 9896, 883, 1876, 513, 4745, 6571, 1374, 908, 519, 3923, 540, 5437, 607, 519, 1101, 2817, 1977, 4095, 11595, 13600, 269, 634, 6837, 1336, 713, 3923, 547, 581, 581, 7257, 1154, 2094, 5437, 568, 513, 942, 540, 21175, 543, 621, 849, 20147, 519, 2757, 7556, 4005, 563, 2467, 616, 1082, 7111, 1977, 4095, 11031, 1472, 519, 2136, 2276, 543, 609, 1114, 11031, 2097, 1114, 4978, 269, 3509, 5289, 30304, 602, 616, 1031, 538, 930, 11031, 941, 711, 8209, 1031, 538, 1866, 269, 3962, 14316, 814, 741, 1378, 1062, 540, 4978, 267, 12115, 902, 267, 2853, 543, 9184, 30139, 602, 789, 723, 547, 1246, 563, 763, 4095, 5133, 827, 1072, 568, 602, 1142, 1268, 568, 32375, 543, 9308, 4448, 547, 2470, 267, 543, 5713, 607, 606, 20032, 540, 5348, 1458, 1063, 519, 2609, 543, 519, 2168, 1373, 267, 26621, 12624, 3047, 543, 1200, 27067, 563, 2467, 568, 513, 3661, 538, 513, 2362, 1379, 267, 3006, 1572, 2696, 267, 610, 634, 29763, 267, 610, 634, 4279, 25491, 1851, 824, 16301, 269, 769, 3909, 18428, 519, 5171, 4126, 547, 1289, 547, 2247, 602, 789, 616, 1644, 547, 782, 1919, 267, 602, 782, 519, 9082, 616, 14077, 563, 30943, 1977, 12075, 8661, 1082, 1114, 2853, 543, 18428, 267, 799, 1331, 912, 1805, 800, 8346, 1299, 19088, 673, 23046, 281, 27884, 676, 22242, 610, 17174, 3401, 5950, 5289, 9465, 543, 10299, 7326, 547, 1346, 538, 4057, 1072, 563, 8269, 619, 547 ]

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

[ 3390, 693, 1688, 267, 543, 1810, 1405, 2247, 1250, 1268, 269, 1284, 1810, 1405, 991, 547, 1491, 538, 1022, 4832, 1151, 560, 823, 267, 1175, 519, 3141, 781, 3232, 7805, 2619, 269, 594, 1810, 1405, 1294, 1022, 4909, 5470, 538, 1018, 594, 723, 1767, 267, 1256, 952, 519, 5858, 602, 519, 3141, 2306, 3884, 1405, 4010, 519, 1482, 607, 20337, 267, 1317, 519, 3047, 781, 7852, 540, 10047, 568, 21266, 1540, 267, 621, 568, 1869, 513, 5858, 1472, 519, 3618, 269, 2201, 713, 5858, 3141, 568, 2899, 513, 1554, 16841, 269, 1656, 4061, 519, 1964, 540, 1018, 594, 723, 1767, 568, 1869, 4570, 563, 11039, 4849, 585, 835, 3364, 269, 2659, 4087, 585, 24398, 5681, 518, 340, 786, 711, 25401, 2244, 593, 519, 3345, 610, 3162, 18635, 267, 621, 1131, 581, 593, 519, 17772, 328, 10364, 15393, 267, 3976, 621, 1131, 581, 12341, 593, 2901, 519, 11848, 17781, 610, 519, 21303, 17781, 267, 799, 1797, 972, 568, 827, 606, 476, 3199, 260, 4960, 519, 4087, 11311, 676, 707, 7097, 1116, 2079, 568, 538, 1930, 5836, 269, 1937, 572, 267, 1813, 547, 840, 20896, 267, 602, 4087, 4955, 6233, 1472, 519, 630, 12901, 264, 6635, 8157, 17781, 2899, 1169, 476, 2537, 267, 1822, 1296, 610, 865, 267, 799, 538, 2490, 1797, 602, 24398, 5681, 518, 340, 267, 16382, 621, 568, 267, 814, 6410, 7366, 540, 5195, 2094, 519, 942, 519, 30920, 941, 1101, 2854, 1524, 563, 3086, 649, 917, 602, 519, 4087, 666, 1405, 581, 519, 5087, 15393, 585, 519, 2241, 2601, 602, 972, 568, 1100, 2244, 585, 7366, 540, 5195, 267, 6148, 1256, 5215, 267, 1472, 519, 5087, 15393, 269, 1656, 621, 666, 1405, 581, 693, 519, 3162, 24504, 1317, 519, 1858, 568, 9247, 6366, 585, 7366, 540, 5195, 538, 782, 8846, 269, 898, 666, 1405, 581, 593, 519, 17772, 328, 10364, 18635, 2901, 267, 607, 3254, 1657, 267, 1317, 602, 3947, 721, 513, 29595, 24398, 5681, 518, 340, 269, 769, 2110, 267, 972, 568, 1100, 10257, 4087, 585, 24398, 5681, 518, 340, 593, 713, 4541, 563, 763, 2339, 568, 1360, 2241, 281, 6129, 4422, 1472, 3162, 335, 1961, 538, 513, 9764, 2619, 269, 5221, 519, 3047, 781, 7852, 568, 21266, 1540, 267, 519, 8998, 540, 713, 5858, 568, 711, 4010, 538, 519, 3162, 335, 1961, 269, 2334, 519, 8998, 540, 713, 5858, 18389, 619, 513, 2370, 1282, 519, 1576, 540, 942, 568, 3020, 540, 322, 6847, 269, 1809, 6778, 5681, 518, 340, 568, 538, 519, 3162, 335, 1961, 1317, 21944, 14609, 327, 1235, 267, 899, 519, 5830, 540, 2806, 327, 573, 327, 12609, 267, 6785, 602, 950, 621, 568, 1554, 538, 808, 3711, 644, 341, 760, 320, 630, 773, 3127, 1070, 621, 568, 3781, 538, 519, 918, 15843, 2552, 5799, 630, 773, 3162, 3013, 1040, 3162, 335, 1961, 568, 3976, 519, 1152, 9266, 454, 531, 1181, 894, 585, 6778, 5681, 518, 340, 563, 300, 870, 5681, 518, 340, 568, 4544, 538, 519, 24817, 267, 543, 621, 568, 519, 6607, 16841, 267, 621, 568, 711, 1945, 3116, 269, 634, 17824, 8864, 540, 519, 6607, 568, 1018, 649, 3425, 1294, 540, 6778, 5681, 518, 340, 267, 713, 729, 1767, 538, 519, 10752, 540, 31436, 1180, 549, 538, 20144, 698, 17763, 918, 698, 344, 340, 700, 532, 538, 476, 1960, 271, 781, 267, 676, 513, 700, 4821, 602, 568, 1572, 15345, 345, 11253, 269, 594, 1185, 4862, 713, 1482, 3364, 1354, 267, 827, 6778, 5681, 518, 340, 543, 519, 4544, 6607, 267, 621, 568, 711, 1945, 2189, 547, 700, 4821, 15345, 345, 11253, 563, 19868, 1227, 1287, 519, 12627, 2427, 540, 6778, 5681, 518, 340, 568, 519, 3781, 6607, 282, 12627, 568, 12001, 543, 4061, 649, 1294, 883, 519, 2230, 693, 3781, 563, 763, 10752, 798, 2161, 602, 621, 630, 306, 10179, 340, 264, 7140, 1472, 7444, 269, 4935, 849, 519, 7852, 540, 3047, 781, 10047, 454, 529, 513, 9266, 1747, 585, 6778, 5681, 518, 340, 563, 292, 743, 328, 10364, 15393, 5291, 2517, 523, 25769, 3820, 28293, 27582, 743, 328, 10364, 7272, 1961, 0, 9558, 3175, 540, 1025, 514, 651, 1042, 538, 5053, 912, 268, 1496, 3430, 3363, 316, 632, 8272, 553, 1609, 516, 577, 553, 282, 1496, 1613, 270, 719, 19972, 316, 1609, 516, 11155, 7078, 5220, 454, 268, 14992, 7985, 689, 513, 21621, 543, 15520, 1025, 514, 651, 1042, 1935, 547, 519, 27132, 543, 609, 25680, 2773, 2164, 563, 268, 6270, 7522, 16490, 1025, 514, 651, 1042, 1612, 5255, 658, 1143, 666, 1152, 4734, 891, 5859, 619, 3168, 1256, 811, 26525, 563, 268, 1261, 2731, 786, 1205, 513, 8710, 952, 646, 8952, 3206, 538, 971, 513, 1025, 514, 651, 1042, 267, 7522, 1259, 563, 1432, 798, 596, 1265, 4277, 827, 713, 2262, 610, 8360, 888, 4467, 906, 602, 1810, 1405, 15666, 547, 938, 7991, 13832, 949, 581, 15645, 730, 610, 6569, 563, 7197, 2442, 538, 519, 2475, 454, 7197, 2442, 538, 519, 5177, 454, 7197, 2442, 538, 4516, 454, 7197, 2442, 538, 5245, 454, 7197, 2442, 538, 17111, 454, 7197, 2442, 538, 9031, 454, 8340, 2312, 543, 3551, 5583, 602, 786, 948, 596, 2087, 707, 5053, 8239, 267, 12332, 267, 543, 1603, 1983, 2483, 763, 1699, 5053, 9139, 630, 17746, 15856, 857, 11252, 25385, 320, 10722, 7637, 264, 729, 9516, 538, 519 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 288, 2890, 326, 549, 913, 11064, 568, 513, 31942, 602, 568, 1031, 547, 5094, 4949, 976, 689, 1591, 4703, 269, 634, 6671, 1907, 568, 476, 5611, 7825, 538, 8006, 267, 609, 476, 14596, 8229, 1591, 2890, 326, 549, 7174, 269, 901, 1826, 540, 21677, 568, 1655, 3514, 547, 29622, 8506, 4949, 517, 9668, 543, 814, 513, 12334, 540, 476, 28638, 544, 269, 634, 12334, 9832, 519, 9505, 3060, 14764, 607, 1134, 607, 1930, 12068, 12122, 269, 634, 1034, 1455, 11064, 814, 513, 5860, 540, 476, 279, 544, 267, 1247, 513, 476, 1220, 6515, 17489, 835, 568, 4998, 14018, 585, 6283, 5829, 1382, 1353, 269, 589, 5843, 326, 549, 913, 26861, 12386, 568, 513, 1907, 602, 24508, 4949, 976, 689, 27765, 27866, 269, 634, 476, 5611, 2173, 332, 8390, 3261, 919, 585, 3744, 602, 6999, 547, 20586, 1312, 4949, 976, 607, 1134, 607, 27765, 27866, 269, 898, 568, 4481, 3407, 585, 27090, 4529, 602, 798, 711, 991, 513, 1279, 5650, 269, 2201, 1283, 540, 602, 267, 519, 476, 5611, 2173, 332, 14583, 7727, 5714, 545, 694, 2424, 607, 1134, 607, 2528, 2754, 267, 543, 849, 568, 3501, 585, 4949, 517, 5945, 1382, 269, 1323, 3606, 9053, 2890, 326, 549, 913, 21677, 568, 519, 9208, 715, 2925, 8426, 27620, 267, 609, 476, 14596, 23761, 269, 901, 31942, 568, 1655, 585, 27090, 2528, 6901, 607, 1134, 607, 2636, 585, 5714, 545, 7834, 540, 27765, 27866, 543, 849, 4949, 976, 269, 901, 2203, 568, 5078, 585, 3173, 602, 1616, 547, 20586, 4949, 976, 1247, 4509, 741, 27765, 27866, 269, 1452, 2890, 326, 549, 913, 9465, 616, 849, 3407, 585, 4974, 4949, 517, 14796, 269, 5843, 326, 549, 913, 7496, 616, 11593, 2139, 538, 1585, 7516, 543, 5686, 269, 634, 476, 14596, 19804, 1374, 568, 1034, 3335, 1031, 585, 519, 24590, 909, 540, 4949, 976, 689, 27765, 27866, 269, 634, 476, 14596, 19804, 4528, 568, 519, 1034, 3335, 8246, 269, 901, 2203, 3261, 919, 585, 3744, 602, 2154, 547, 5094, 1312, 4949, 976, 543, 27765, 27866, 1510, 17890, 3157, 269, 898, 849, 3096, 5714, 545, 694, 2424, 543, 849, 2486, 3919, 267, 799, 616, 1898, 585, 6283, 29622, 269, 634, 9208, 3026, 584, 517, 717, 611, 1326, 568, 2966, 585, 3173, 945, 6999, 547, 5094, 4949, 976, 689, 27765, 27866, 269, 4706, 476, 14596, 19804, 2890, 326, 549, 7174, 616, 1655, 3514, 585, 19459, 11409, 267, 799, 666, 581, 2182, 547, 5094, 538, 824, 1797, 269, 4706, 476, 5611, 19804, 2890, 326, 549, 7174, 616, 5078, 585, 19459, 4949, 976, 607, 1134, 607, 27765, 27866, 538, 27090, 4529, 269, 16547, 976, 543, 27765, 27866, 616, 9674, 676, 513, 2582, 21677, 269, 589, 476, 5611, 2890, 326, 549, 913, 11064, 568, 835, 540, 519, 1034, 1455, 2890, 326, 549, 913, 11064, 269, 4706, 476, 14596, 4528, 568, 20923, 20083, 585, 3744, 602, 991, 547, 5094, 1312, 4949, 976, 543, 849, 27765, 27866, 269, 634, 476, 14596, 31942, 568, 5078, 585, 12270, 1312, 4949, 976, 543, 27765, 761, 923, 269, 901, 4528, 10123, 3091, 5714, 545, 10072, 543, 849, 2486, 3919, 267, 799, 568, 1360, 1271, 585, 4949, 517, 5945, 1382, 1353, 269, 901, 2890, 326, 549, 913, 21677, 568, 6099, 585, 3560, 29622, 543, 849, 2486, 540, 9729, 673, 11409, 269, 898, 814, 513, 476, 1015, 7825, 2890, 326, 549, 913, 2450, 269, 5637, 5686, 723, 513, 519, 1482, 4463, 269, 634, 9505, 3060, 11460, 814, 513, 476, 4335, 6515, 26654, 267, 1247, 519, 1930, 12068, 12122, 814, 513, 476, 6110, 6515, 15038, 269, 634, 476, 14596, 4528, 568, 513, 2603, 811, 3902, 344, 267, 855, 922, 4389, 20830, 616, 811, 10375, 547, 8415, 269, 769, 1840, 267, 621, 2488, 513, 5078, 1604, 585, 1591, 2486, 269, 0, 1103, 17651, 267, 2480, 23705, 3780, 630, 31142, 281, 968, 9928, 23705, 542, 25257, 3006, 1634, 607, 2480, 23705, 1470, 267, 568, 513, 1990, 31821, 26424, 602, 6013, 1063, 8644, 571, 543, 32371, 8636, 23581, 538, 519, 7013, 6607, 267, 693, 10199, 476, 1626, 3108, 476, 1789, 3764, 1318, 10841, 3290, 543, 476, 1789, 4113, 5045, 3616, 1588, 269, 634, 6505, 652, 5182, 538, 519, 6607, 2676, 8489, 666, 594, 1265, 2480, 23705, 1470, 538, 519, 6607, 888, 9928, 23705, 3780, 267, 899, 32371, 8636, 23581, 267, 666, 581, 1336, 676, 575, 5074, 5045, 543, 1739, 519, 27305, 10158, 16057, 269, 2480, 23705, 3780, 568, 2653, 547, 5544, 676, 575, 5074, 585, 13085, 6801, 602, 18613, 3165, 29945, 269, 901, 13622, 814, 1018, 5526, 547, 581, 513, 6505, 2699, 5182, 538, 519, 4099, 269, 634, 4414, 27951, 5182, 4165, 4100, 267, 799, 568, 693, 519, 4295, 540, 2480, 23705, 3780, 267, 568, 1419, 19451, 585, 9370, 1317, 621, 568, 5393, 2699, 269, 2480, 23705, 3780, 685, 1560, 20998, 513, 3165, 13622, 267, 609, 519, 2766, 9117, 607, 519, 13622, 543, 2480, 23705, 3780, 685, 2212, 543, 533, 4532, 619, 693, 519, 6587, 1439, 267, 8108, 513, 1614, 17376, 784, 539, 1439, 1448, 2476, 689, 32371, 8636, 23581, 563, 1432, 568, 2480, 23705, 1470, 538, 519, 6607, 888, 9928, 23705, 3780, 568, 513, 7013, 26424, 602, 14380, 547, 922, 8445, 1448, 538, 519, 10543, 6607, 1472, 2904, 563, 2005, 568, 17814, 607, 513, 1085, 23705, 542, 543, 568, 835, 540, 519, 12964, 2818, 540, 519, 2098, 31821, 269, 4014, 4230, 6331, 619, 1869, 3277, 547, 713, 26424, 676, 922, 3312, 2012, 267, 2480, 23705, 3780, 267, 519, 2413, 26424, 568, 849, 1634, 607, 2480, 23705, 3780, 269, 5272, 1032, 538, 3735, 5437, 267, 519, 6129, 10596, 998, 621, 585, 827, 513, 3018, 563, 8601, 519, 1249, 602, 519, 6129, 1152, 22939, 513, 1906, 2395, 538, 2480, 23705, 3780, 1142, 1032, 267, 621, 568, 513, 1804, 26424, 269, 634, 7187, 17119, 640, 540, 519, 1085, 23705, 542, 779, 32356, 26424, 568, 513, 2110, 1858, 540, 6607, 630, 5408, 519, 5750, 547, 519, 1318, 1070, 799, 519, 6129, 10596, 998, 3533, 563, 12901, 4100, 267, 799, 4564, 519, 1085, 23705, 542, 779, 2212, 267, 568, 519, 6505, 652, 5182, 538, 713, 6607, 4087, 269, 589, 5569, 540, 2034, 2173, 1725, 3363, 6801, 7436, 519, 1085, 23705, 542, 779, 6335, 532, 2766, 547, 519, 5045, 563, 763, 27305, 10158, 779, 7077, 22613, 2066, 2480, 23705, 3780, 685, 7013, 4525, 267, 799, 568, 29822, 14095, 609, 5182, 13421, 267, 5627, 476, 1240, 1930, 13421, 17321, 982, 20870, 9588, 269, 2480, 23705, 3780, 814, 513, 1297, 540, 13085, 5895, 983, 13421, 1472, 32371, 8636, 23581, 267, 799, 568, 1141, 519, 27305, 10158, 779, 4099, 568, 4092, 563, 763, 1085, 23705, 542, 3254, 1934, 568, 2219, 547, 723, 588, 2426, 2107, 542, 519, 25433, 547, 2669, 538, 5259, 13299, 563, 3674, 2480, 23705, 1470, 2282, 2107, 542, 888, 7775, 542, 729, 513, 12050, 543, 3532, 25433, 267, 865, 3532, 602, 646, 26823, 3022, 547, 6146, 1169, 3662, 593, 519, 4541, 269, 2107, 542, 679, 571, 3022, 12821, 807, 267, 519, 15831, 540, 519, 3047, 543, 3662, 27369, 267, 945, 2040, 3000, 539, 2480, 23705, 1470, 267, 513, 1804, 1085, 23705, 542, 267, 547, 18272, 3729, 2107, 542, 1354, 646, 1223, 2800, 519, 2831, 269, 2480, 23705, 1470, 588, 2426, 2107, 542, 609, 1010, 588, 5424, 543, 14213, 539, 1864, 269, 12821, 807, 30039, 1864, 609, 513, 2990, 538, 519, 3781, 6607, 607, 513, 16101, 585, 1010, 22838, 543, 585, 9494, 782, 540, 519, 2831, 685, 2729, 269, 10801, 519, 1032, 267, 646, 666, 581, 2938, 31743, 2107, 542, 1472, 519, 6607, 269, 4438, 519, 5162, 267, 2107, 542, 568, 15868, 547, 6968, 11884, 267, 855, 950, 5614, 21128, 267, 2480, 23705, 1470, 14380, 267, 31743, 2107, 542, 856, 540, 519, 6607, 563, 3674, 2480, 23705, 1470, 543, 2480, 23705, 3780, 519, 1482, 888, 1103, 17651, 267, 2480, 23705, 3780, 630, 31142, 281, 968, 9928, 23705, 542, 25257, 3006, 1634, 607, 2480, 23705, 1470, 267, 568, 513, 1990, 31821, 26424, 602, 6013, 1063, 8644, 571, 543, 32371, 8636, 23581, 538, 519, 7013, 6607, 267, 693, 10199, 476, 1626, 3108, 476, 1789, 3764, 1318, 10841, 3290, 543, 476, 1789, 4113, 5045, 3616, 1588, 563, 1432, 2696, 3652, 2480, 23705, 1470, 888, 295, 3547, 1107, 2480, 23705, 1470, 670, 3547, 267, 519, 2696, 540, 519, 7201, 16447, 267, 24151, 519, 2480, 23705, 3930, 685, 6456, 5759, 269, 901, 1990, 31821, 1129, 568, 1634, 585, 922, 9658, 1097, 267, 2909, 341, 5964, 267, 543, 6612, 563, 8489, 568, 2107, 542, 538, 519, 6607, 9522, 697, 888, 5804, 5437, 547, 5988, 267, 2107, 542, 666, 581, 2938, 1134, 538, 519, 3781, 6607, 269, 634, 1655, 1935, 547, 1265, 519, 2107, 542, 4790, 749, 566, 568, 547, 1413, 585, 2107, 542, 779, 25028, 269, 8422, 6505, 6801, 267, 1325, 333, 559, 600, 267, 631, 842, 10440, 267, 543, 1325, 27848, 752, 267, 1118, 909, 2107, 542, 779, 25028, 269, 1403, 596, 2461, 538, 519, 8832, 25955, 267, 2107, 542, 568, 538, 519, 22236, 6607, 282, 952, 596, 2461, 538, 519, 8828, 25955, 267, 621, 779, 538, 519, 32720, 6607, 269, 898, 666, 581, 9763, 1655, 1063, 476, 5952, 543, 14263, 476, 4037, 5232, 20173, 269, 898, 814, 513, 476, 276, 5662, 1318, 10841, 3290, 543, 513, 476, 276, 4110, 3616, 1588, 563, 1432, 568, 2480, 23705, 3780, 7242, 888, 1103, 5259, 13299, 267, 2480, 23705, 3780, 543, 2107, 542, 616, 4749, 5532, 269, 4340, 547, 10828, 267, 2107, 542, 1630, 16556, 827, 11318, 1169, 3662, 593, 519, 4541, 269, 3203, 28087, 267, 519, 15831, 3620, 684, 614, 267, 543, 1200, 3993, 267, 2913, 334, 267, 2366, 513, 1085, 23705, 542, 1310, 2107, 542, 269, 2991, 519, 1085, 23705, 542, 4465, 519, 6370, 267, 28736, 5116, 621, 538, 519, 30723, 269, 769, 1776, 4528, 267, 3203, 28087, 685, 18618, 7015, 267, 21011, 267, 2968, 679, 571, 3022, 543, 2366, 513, 1085, 23705, 542, 950, 2107, 542, 10645, 547, 581, 513, 1732, 25433, 982, 3203, 28087, 269, 2107, 542, 543, 2480, 23705, 3780, 941, 1312, 5116, 538, 519, 6607, 676, 28736, 267, 2943, 789, 616, 7298, 693, 1114, 5712, 540, 519, 1032, 563, 9928, 23705, 1470, 568, 519, 26424, 540, 31826, 267, 799, 568, 711, 513, 2257, 269, 898, 568, 519, 2098, 31821, 779, 21632, 1129, 267, 543, 621, 23327, 7606, 4535, 1063, 5239, 476, 2190, 543, 5437, 476, 2420, 269, 10318, 1588, 543, 14017, 616, 2219, 547, 581, 4162, 540, 7606, 4535, 896, 713, 1129, 563, 8005, 7166, 2480, 23705, 3780, 888, 5804, 519, 476, 2537, 6113, 547, 519, 476, 2764, 628, 540, 5239, 267, 621, 3580, 581, 2480, 23705, 1470, 3018, 593, 519, 10060, 18248, 267, 543, 649, 3580, 723, 513, 2022, 827, 519, 26424, 540, 2480, 23705, 3780, 1169, 1554, 269, 634, 1101, 1554, 540, 519, 3923, 540, 2480, 23705, 1470, 5956, 14182, 267, 593, 519, 476, 2190, 628, 563, 5472, 519, 581, 6814, 23487, 539, 519, 1390, 25433, 543, 9649, 2107, 542, 950, 519, 3618, 729, 1007, 269, 1261, 11739, 342, 513, 838, 622, 540, 5458, 2244, 543, 4262, 28749, 269, 7183, 540, 873, 941, 2111, 547, 3247, 1010, 15561, 563, 1103, 513, 4090, 540, 818, 5766, 766, 267, 646, 10294, 547, 519, 22839, 602, 646, 1131, 711, 1964, 2394, 646, 1185, 7166, 782, 540, 519, 3047, 779, 3552, 2831, 563, 294, 320, 807, 267, 519, 15831, 540, 519, 3047, 543, 3993, 540, 519, 25315, 753, 267, 729, 679, 571, 3022, 676, 1010, 818, 5766, 766, 269, 2701, 21821, 539, 519, 6351, 540, 513, 19157, 1085, 23705, 542, 267, 6998, 1864, 547, 4339, 519, 20599, 563, 7775, 542, 729, 1101, 14955, 1356, 2740, 827, 519, 13442, 269, 1215, 1223, 2576, 865, 28971, 7654, 546, 732, 547, 1491, 593, 1010, 1522, 888, 3891, 729, 267, 2705, 267, 7318, 269, 2107, 542, 1223, 711, 14710, 519, 1085, 23705, 542, 1100, 2339, 875, 2182, 646, 6836, 269, 898, 859, 12184, 1010, 21985, 607, 1134, 607, 782, 540, 1010, 6367, 31211, 563, 2691, 2107, 542, 2968, 3443, 17673, 543, 4956, 547, 2196, 267, 519, 1085, 23705, 542, 533, 6407, 269, 634, 1085, 23705, 542, 779, 20715, 2766, 588, 2426, 2107, 542, 267, 543, 2107, 542, 267, 519, 1390, 25433, 267, 729, 669, 1078, 1524, 543, 7166, 563, 294, 320, 807, 267, 538, 18163, 14696, 547, 519, 1085, 23705, 542, 267, 1500, 2386, 602, 1010, 17636, 543, 2107, 542, 779, 1208, 559, 2747, 1131, 581, 7298, 547, 782, 563, 763, 2480, 23705, 542, 779, 4605, 729, 5116, 538, 519, 3781, 6607, 7258, 2107, 542, 779, 3239, 269, 634, 1085, 23705, 542 ]

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

[ 855, 849, 2709, 513, 1514, 4259, 585, 5872, 543, 8994, 1489, 563, 3519, 6984, 32438, 593, 513, 17151, 13717, 11202, 547, 25682, 998, 6742, 658, 8551, 454, 24938, 658, 6575, 267, 609, 741, 6946, 13795, 540, 2168, 7575, 267, 2790, 2994, 267, 543, 3929, 9015, 267, 616, 811, 982, 1175, 8396, 2553, 269, 1358, 616, 513, 1259, 540, 1272, 267, 513, 2619, 602, 267, 2899, 24389, 2390, 267, 14767, 15400, 4245, 543, 2208, 563, 1103, 2413, 2053, 267, 607, 649, 20920, 609, 2591, 1312, 2025, 543, 1007, 267, 891, 3504, 6575, 2709, 3435, 12082, 538, 5553, 540, 7326, 269, 3245, 16779, 2043, 547, 1796, 741, 2666, 538, 3068, 540, 8594, 267, 547, 22805, 2950, 3808, 676, 8994, 2463, 543, 1620, 267, 19831, 6575, 2611, 513, 581, 13154, 540, 4126, 563, 19853, 10083, 2221, 3884, 1406, 1175, 538, 519, 7575, 27058, 610, 26797, 12236, 267, 855, 538, 519, 13710, 3460, 789, 9153, 1107, 835, 602, 7140, 18051, 1182, 883, 18544, 267, 711, 1175, 538, 8396, 267, 855, 538, 1272, 269, 0, 21446, 894, 3782, 814, 1831, 3478, 3152, 4656, 538, 519, 2063, 8717, 5111, 607, 811, 2043, 2490, 856, 547, 581, 13473, 543, 1454, 811, 17173, 2472, 3070, 3435, 616, 5827, 540, 3257, 585, 873, 269, 20010, 3782, 16621, 3435, 267, 3681, 267, 9422, 9360, 543, 2732, 3292, 543, 6527, 269, 634, 1858, 568, 8101, 543, 2882, 606, 5044, 540, 1641, 2127, 543, 2035, 689, 12465, 6481, 13467, 547, 7849, 23046, 269, 901, 2110, 2376, 786, 4674, 547, 5693, 5581, 4244, 4915, 543, 9414, 930, 540, 922, 811, 11342, 5686, 563, 3519, 14846, 1072, 2409, 616, 9090, 519, 2553, 6964, 538, 2564, 6703, 267, 13500, 4025, 540, 960, 543, 14804, 1072, 5829, 2533, 269, 1230, 14846, 11257, 616, 4749, 1031, 607, 606, 4244, 547, 4244, 4915, 538, 606, 4674, 547, 7413, 9636, 267, 1521, 22074, 543, 1521, 2566, 630, 7945, 607, 10551, 5574, 543, 5283, 1206, 1040, 20010, 2126, 568, 1022, 2564, 2259, 799, 6662, 547, 723, 519, 2147, 9354, 2164, 607, 2834, 3435, 267, 855, 799, 568, 711, 20248, 20483, 610, 796, 2889, 1597, 267, 2150, 6479, 269, 589, 1383, 540, 4244, 2126, 799, 1522, 581, 4122, 8179, 8584, 1123, 676, 1346, 945, 616, 3843, 547, 1205, 7759, 540, 9138, 22074, 1331, 1035, 1575, 21913, 267, 1753, 14527, 267, 12906, 7752, 2805, 543, 1753, 14527, 6986, 5214, 5574, 267, 14024, 18132, 832, 543, 28571, 1755, 15797, 267, 8770, 11257, 267, 15815, 919, 267, 12257, 12485, 267, 5289, 27955, 543, 2067, 8324, 333, 26798, 8324, 269, 3509, 2043, 945, 723, 1044, 9001, 4244, 4915, 547, 7816, 741, 30441, 2943, 1866, 723, 4767, 3232, 1272, 17038, 18146, 2360, 269, 1717, 267, 972, 6818, 3136, 547, 14320, 8969, 7404, 3903, 3435, 543, 3833, 513, 1906, 7606, 3494, 1142, 540, 891, 2994, 616, 8806, 3693, 540, 513, 3677, 12611, 563, 301, 520, 1755, 12949, 545, 6646, 543, 32687, 6646, 3514, 883, 519, 3677, 22597, 540, 4244, 2126, 269, 14844, 1755, 12949, 545, 5061, 5654, 585, 547, 10625, 519, 2014, 540, 4713, 607, 1134, 607, 4308, 609, 519, 4576, 676, 7829, 519, 2347, 6457, 267, 1367, 543, 1560, 269, 769, 1931, 547, 1198, 513, 1689, 538, 519, 1560, 779, 1072, 543, 8516, 267, 14844, 1755, 12949, 545, 14319, 543, 32687, 14319, 786, 711, 581, 10353, 547, 519, 824, 1268, 3833, 789, 960, 1927, 269, 1924, 607, 547, 1198, 513, 2656, 543, 10423, 3017, 538, 519, 8516, 540, 2576, 563, 12709, 14527, 814, 6591, 513, 8101, 2179, 540, 6284, 25015, 267, 891, 2409, 849, 616, 538, 930, 2665, 8246, 538, 512, 30802, 609, 2757, 2126, 3435, 269, 3509, 1072, 4648, 616, 4358, 547, 723, 3713, 540, 519, 5383, 540, 2067, 5061, 269, 5851, 14527, 568, 8200, 609, 519, 2856, 602, 519, 1560, 5161, 540, 32373, 762, 2326, 1634, 607, 7008, 540, 799, 938, 1560, 616, 1152, 2111, 547, 581, 4767, 610, 13820, 539, 269, 634, 7135, 602, 17663, 707, 1062, 616, 538, 4641, 1500, 689, 2034, 2157, 540, 519, 9838, 1118, 1022, 3017, 602, 666, 581, 1336, 538, 782, 1272, 2188, 269, 901, 2306, 2067, 14319, 606, 11108, 2186, 540, 4244, 2126, 602, 786, 4096, 593, 519, 1379, 540, 519, 1480, 1560, 547, 544, 754, 593, 922, 1378, 563, 5194, 4244, 3782, 602, 568, 9090, 32117, 538, 10343, 568, 14911, 4915, 7132, 621, 2882, 713, 4990, 540, 5773, 607, 659, 1575, 21913, 543, 23096, 832, 267, 9354, 18552, 267, 4457, 6986, 1418, 747, 11770, 549, 1492, 2805, 543, 5574, 267, 2757, 4457, 5574, 267, 10649, 5751, 267, 543, 7117, 328, 575, 784, 269, 1924, 602, 596, 666, 11694, 519, 6908, 540, 21755, 2429, 938, 1949, 267, 891, 2409, 4096, 2390, 519, 6644, 602, 21755, 666, 1860, 938, 1949, 543, 4061, 649, 991, 547, 1747, 938, 1345, 883, 513, 2769, 540, 4708, 543, 3666, 269, 2290, 666, 1118, 713, 4755, 1448, 856, 676, 14139, 3006, 7646, 610, 3395, 2371, 267, 1199, 23550, 267, 10649, 543, 8516, 267, 824, 267, 2408, 543, 12906, 7752, 2805, 9838, 1919, 547, 798, 563, 2467, 568, 2943, 1776, 1826, 540, 4244, 3782, 602, 1223, 581, 3384, 538, 1377, 540, 8560, 543, 602, 568, 6157, 1382, 3613, 19099, 2126, 269, 6270, 513, 5061, 3096, 519, 9645, 4791, 9623, 602, 814, 1044, 5833, 2429, 519, 2063, 2540, 269, 12207, 723, 4362, 513, 1434, 4308, 538, 14621, 547, 519, 5574, 543, 2164, 538, 593, 1034, 10108, 269, 3509, 3903, 2564, 4648, 543, 4966, 2936, 713, 1344, 547, 1020, 1072, 1416, 3681, 585, 741, 1004, 602, 941, 8810, 2500, 998, 9488, 3621, 2090, 269, 1280, 1383, 267, 8544, 32196, 568, 4440, 519, 1906, 17756, 585, 519, 23988, 602, 10522, 602, 6169, 3613, 19099, 5574, 616, 711, 2500, 267, 1373, 519, 2783, 568, 4742, 1932, 11342, 1317, 972, 547, 1831, 1022, 4396, 1382, 602, 2982, 6382, 563, 2005, 568, 1360, 1271, 1832, 538, 2247, 267, 593, 519, 824, 1688, 267, 602, 2257, 568, 1175, 711, 2965, 3617, 543, 972, 616, 1896, 2887, 9313, 543, 2152, 538, 519, 3498, 540, 2564, 1883, 2798, 538, 14319, 269, 1280, 3236, 267, 972, 568, 4867, 7634, 3274, 1373, 2944, 602, 5267, 602, 972, 949, 581, 513, 1360, 1434, 22420, 5057, 851, 538, 1346, 945, 1702, 1279, 3856, 1928, 269, 4634, 1498, 713, 568, 711, 16119, 2357, 4328, 1945, 267, 621, 666, 16355, 557, 519, 1279, 1790, 18677, 3661, 602, 3044, 14319, 543, 14453, 3075, 13310, 6646, 568, 11207, 1434, 693, 17212, 1324, 2550, 685, 2589, 269, 1306, 811, 1344, 568, 16432, 543, 12649, 267, 713, 1826, 540, 3815, 1223, 581, 5555, 8810, 2953, 269, 1717, 267, 585, 519, 1459, 942, 267, 519, 11685, 3296, 814, 4465, 519, 4901, 519, 3283, 616, 4358, 547, 1491, 883, 2272, 602, 6715, 13577, 6481, 5516, 1131, 581, 519, 5951, 540, 519, 2104, 585, 1455, 14319, 563, 21446, 894, 3782, 568, 3432, 1176, 5355, 538, 8560, 543, 6284, 269, 898, 2731, 568, 1500, 946, 540, 547, 3761, 513, 1921, 1063, 5375, 267, 2834, 5574, 543, 14911, 23857, 585, 3236, 24349, 4915, 267, 1234, 5942, 267, 28571, 1755, 15797, 543, 7796, 919, 269, 2755, 6715, 13577, 2657, 5516, 5170, 547, 1332, 538, 8560, 267, 621, 568, 6654, 602, 713, 3136, 547, 6108, 942, 4730, 513, 1360, 1271, 1599, 538, 23478, 2994, 547, 513, 1906, 540, 519, 1158, 779, 1034, 2442, 2175, 543, 22074, 269, 2060, 519, 2333, 538, 7287, 585, 20010, 16195, 267, 972, 786, 1034, 2693, 581, 1454, 811, 1719, 538, 3246, 18006, 585, 1346, 5461, 538, 11589, 519, 2702, 789, 2709, 827, 4244, 2126, 563, 2252, 596, 6068, 713, 2022, 543, 596, 1131, 899, 547, 1205, 513, 2603, 811, 5013, 827, 2206, 12940, 535, 1263, 695, 14241, 4487, 4179, 2517, 324, 770, 7770, 4621, 738, 3599, 2593, 24963, 979, 547, 938, 1378, 2985, 563, 288, 2603, 811, 7840, 689, 15695, 21101, 281, 0, 763, 25968, 15248, 2030, 568, 513, 2189, 543, 9159, 2249, 602, 814, 6591, 8560, 1851, 22254, 543, 2030, 12439, 269, 19612, 585, 922, 11495, 5920, 543, 11684, 3096, 267, 519, 25968, 15248, 2030, 19646, 513, 2039, 540, 4162, 602, 1118, 621, 513, 14909, 1840, 547, 1022, 4677, 610, 11255, 2230, 269, 769, 713, 3102, 3391, 267, 649, 786, 5490, 883, 519, 5920, 267, 2208, 6208, 267, 28480, 4005, 267, 543, 1416, 4170, 540, 519, 25968, 15248, 2030, 269, 1284, 786, 2263, 922, 1455, 3096, 267, 1519, 922, 25798, 267, 16392, 267, 543, 11477, 3156, 269, 1284, 786, 5031, 2147, 2371, 602, 7703, 11696, 28917, 547, 519, 25968, 15248, 2030, 267, 3246, 513, 1134, 25454, 1620, 540, 713, 4241, 2249, 269, 6787, 596, 2461, 513, 19023, 32529, 610, 513, 30497, 2030, 27423, 267, 713, 2376, 786, 1683, 3407, 4030, 883, 519, 27559, 543, 1761, 540, 519, 25968, 15248, 2030, 563, 268, 589, 25968, 15248, 7233, 568, 513, 1826, 540, 15496, 2030, 1634, 585, 922, 4190, 11909, 23469, 18742, 563, 268, 901, 2030, 814, 2189, 4162, 971, 607, 922, 5920, 267, 2208, 6208, 267, 543, 28480, 4005, 563, 268, 1677, 1416, 585, 513, 25968, 15248, 7233, 267, 621, 3340, 1808, 7943, 543, 2837, 267, 14450, 543, 6992, 1944, 2553, 267, 543, 18309, 543, 18640, 2409, 563, 1432, 1772, 513, 25968, 15248, 7233, 888, 290, 1042, 1080, 281, 674, 4181, 7220, 269, 14813, 334, 1107, 12138, 6742, 710, 345, 454, 24445, 529, 807, 1065, 839, 267, 4122, 1634, 607, 25968, 15248, 610, 25968, 23202, 615, 7233, 267, 568, 513, 1970, 31720, 5199, 30362, 2030, 12595, 585, 922, 10694, 16714, 543, 8897, 540, 1416, 563, 289, 13717, 532, 547, 519, 2155, 601, 514, 19687, 1920, 267, 713, 21064, 2030, 568, 5065, 547, 6792, 543, 6239, 3013, 269, 634, 25968, 15248, 2934, 28608, 267, 561, 766, 11057, 3762, 602, 616, 24224, 609, 11495, 11909, 24698, 267, 4946, 513, 1402, 540, 2681, 547, 1022, 11255, 610, 9205, 2230, 269, 9603, 547, 922, 22537, 2470, 267, 621, 29263, 538, 1585, 8654, 2175, 543, 666, 20496, 5712, 540, 10980, 267, 1818, 621, 606, 4998, 3903, 585, 1346, 609, 11112, 16131, 610, 2370, 12202, 1995, 563, 1432, 3657, 519, 18567, 540, 513, 25968, 15248, 7233, 888, 763, 25968, 15248, 2030, 2934, 7524, 267, 561, 766, 11057, 3762, 602, 1332, 538, 13421, 2059, 922, 22107, 8172, 11710, 267, 2870, 606, 10694, 911, 4979, 1198, 563, 21132, 22539, 16714, 568, 1419, 513, 11495, 15254, 20672, 566, 540, 12779, 11909, 267, 3039, 267, 543, 27598, 3043, 267, 4946, 513, 17175, 1402, 540, 2681, 547, 1022, 2230, 269, 634, 3762, 30107, 513, 17953, 344, 267, 14589, 344, 9403, 602, 10597, 741, 3308, 9029, 269, 1306, 519, 2030, 1319, 999, 267, 922, 911, 4979, 11710, 1419, 1020, 513, 11419, 995, 267, 512, 22824, 5920, 267, 1818, 621, 513, 9159, 1840, 547, 16304, 30504, 610, 11506, 1544, 1562, 563, 763, 25968, 15248, 267, 849, 1634, 607, 519, 25968, 23202, 615, 7233, 610, 11910, 529, 807, 14472, 6737, 267, 15225, 11495, 16714, 609, 18707, 540, 11909, 267, 3039, 267, 543, 13711, 267, 2870, 513, 11617, 13267, 4159, 563, 763, 3762, 540, 519, 25968, 15248, 2030, 2097, 538, 1585, 5546, 267, 1519, 2295, 11057, 267, 24814, 267, 543, 561, 766, 25544, 267, 4946, 547, 922, 3308, 1719, 269, 634, 10875, 15254, 20672, 566, 540, 4778, 267, 8151, 689, 2571, 2250, 601, 533, 3855, 547, 2620, 4012, 550, 553, 267, 5932, 513, 9159, 4334, 1996, 519, 7524, 3039, 543, 11029, 23456, 540, 13711, 563, 9961, 922, 2208, 267, 519, 2030, 949, 849, 4159, 513, 13506, 1198, 267, 1141, 519, 4778, 11100, 16900, 267, 6721, 606, 22539, 522, 3387, 516, 1198, 538, 519, 16714, 269, 1452, 11617, 9159, 4162, 1118, 519, 25968, 15248, 513, 2442, 3903, 1851, 2030, 12439, 543, 513, 17175, 1840, 547, 1022, 11255, 610, 9205, 4677, 2230, 563, 763, 2208, 6208, 540, 519, 25968, 15248, 267, 849, 1634, 607, 25725, 966, 710, 543, 6444, 676, 519, 22340, 267, 4125, 911, 4979, 11710, 602, 666, 3262, 543, 1951, 701, 30780, 538, 16304, 11149, 610, 607, 2666, 3382, 563, 1607, 4190, 543, 11684, 2030, 11148, 547, 8853, 538, 1134, 1673, 20995, 267, 15417, 3037, 1247, 4782, 2590, 9940, 7943, 269, 898, 568, 4122, 1336, 538, 9341, 543, 31210, 4525, 267, 1141, 621, 7380, 919, 609, 922, 561, 639, 4109, 3039, 16714, 543, 10347, 267, 11909, 880, 2000, 822, 2658, 5810, 269, 1677, 29608, 267, 835, 666, 3362, 2879, 760, 513, 2635, 6565, 543, 1747, 621, 538, 513, 5848, 267, 1134, 8584, 23306, 5420, 269, 25408, 267, 519, 25968, 15248, 568, 12021, 585, 922, 1970, 5826, 543, 568, 1134, 25252, 1243, 585, 12202, 12439, 540, 782, 2157, 267, 1818 ]

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

[ 538, 25072, 320, 4915, 607, 606, 3082, 4094, 630, 11357, 560, 1734, 799, 948, 519, 1560, 547, 4383, 2566, 1916, 1692, 1281, 1744, 559, 1690, 527, 960, 888, 21132, 1950, 7848, 540, 7135, 267, 3226, 3505, 17771, 3679, 267, 4249, 513, 2629, 1909, 538, 922, 12117, 269, 27975, 17771, 3679, 6411, 607, 513, 1098, 1602, 614, 267, 7393, 519, 10338, 543, 3351, 5314, 540, 5567, 1369, 938, 4703, 269, 898, 8992, 10408, 1648, 2504, 267, 11226, 538, 19140, 2305, 267, 543, 7028, 2949, 10894, 3252, 269, 3958, 267, 695, 559, 1690, 527, 15225, 15934, 3601, 267, 7863, 938, 2281, 1996, 19842, 2566, 3361, 676, 5739, 1863, 18119, 269, 898, 849, 25998, 609, 1585, 11476, 543, 1129, 16226, 11444, 267, 15386, 3082, 8328, 543, 29915, 908, 2360, 563, 19119, 540, 1744, 559, 1690, 527, 454, 9199, 3431, 538, 25072, 320, 4915, 267, 695, 559, 1690, 527, 814, 1044, 26060, 585, 922, 2702, 547, 3986, 21755, 543, 5818, 26176, 2088, 269, 26597, 2090, 723, 849, 8947, 519, 2702, 540, 695, 559, 1690, 527, 547, 3986, 1648, 2157, 676, 7393, 24197, 8647, 267, 799, 3322, 14291, 1648, 689, 1426, 883, 1648, 602, 666, 581, 1031, 676, 519, 1591, 543, 4061, 519, 1560, 607, 513, 2898, 563, 2005, 814, 1044, 2404, 609, 5885, 5042, 1599, 267, 1519, 3965, 267, 1445, 543, 2790, 9355, 269, 1452, 2188, 2491, 1946, 621, 568, 1373, 1031, 607, 513, 1106, 540, 3797, 585, 1978, 5042, 4713, 899, 12216, 779, 269, 1717, 267, 713, 1935, 568, 1869, 9425, 1007, 865, 811, 1382, 2115, 547, 581, 2944, 547, 1294, 519, 3020, 12117, 540, 519, 6219, 593, 971, 5042, 4713, 563, 12901, 9171, 656, 543, 14640, 13611, 12186, 912, 22137, 723, 3254, 602, 3505, 17771, 3679, 267, 835, 540, 695, 559, 1690, 1080, 1292, 7135, 267, 814, 15934, 543, 4550, 13611, 3601, 269, 901, 14014, 519, 1560, 689, 1863, 18119, 543, 1591, 3441, 799, 616, 1079, 540, 519, 1883, 2188, 4929, 10172, 563, 9802, 1489, 16562, 8598, 912, 2304, 320, 8598, 568, 1034, 1419, 3361, 676, 4401, 10638, 543, 814, 2427, 2360, 971, 607, 2295, 11733, 12150, 640, 267, 14331, 543, 538, 1410, 2364, 762, 9854, 269, 9603, 547, 1744, 559, 1690, 527, 779, 1164, 2157, 540, 1208, 545, 3679, 543, 4401, 267, 621, 1223, 581, 513, 1761, 2126, 585, 16562, 8598, 563, 288, 1353, 2322, 476, 1240, 14148, 883, 1614, 2516, 540, 476, 277, 269, 12824, 5795, 519, 2034, 543, 3791, 1895, 16562, 8598, 269, 681, 1846, 538, 519, 3791, 1895, 4607, 476, 4335, 16936, 540, 695, 559, 1690, 527, 1310, 476, 1556, 2395, 543, 1287, 3173, 6394, 1973, 5439, 689, 782, 476, 274, 2516, 593, 1554, 476, 2641, 269, 634, 2164, 4951, 602, 519, 14148, 945, 1185, 4607, 519, 695, 559, 1690, 527, 1185, 2362, 2157, 540, 688, 655, 18331, 543, 2699, 1973, 2281, 982, 519, 824, 1079, 2516, 563, 6826, 2386, 547, 3717, 547, 513, 4387, 827, 713, 4781, 1354, 2921, 519, 7110, 563, 5194, 1382, 1353, 7150, 602, 695, 559, 1690, 527, 1223, 4339, 1055, 1978, 8290, 1813, 547, 922, 5888, 540, 1585, 6886, 543, 7135, 899, 4401, 543, 13058, 267, 855, 2417, 1382, 814, 547, 581, 2944, 593, 2661, 5396, 1354, 789, 666, 6166, 4625, 563, 4537, 559, 1690, 527, 666, 2333, 22006, 21131, 538, 519, 2634, 799, 538, 2490, 949, 2569, 4160, 543, 2566, 2157, 269, 5015, 267, 519, 1164, 2157, 540, 11379, 543, 13101, 948, 6001, 707, 6091, 267, 1519, 519, 2295, 267, 4611, 538, 513, 25695, 1198, 593, 519, 1560, 563, 19102, 1078, 4530, 16238, 20946, 912, 24464, 945, 8532, 695, 559, 1690, 527, 723, 811, 19697, 799, 5012, 547, 513, 2362, 14203, 1293, 543, 2362, 14203, 10688, 269, 1280, 1296, 267, 695, 559, 1690, 527, 814, 1044, 1031, 547, 5818, 19697, 538, 2367, 267, 5732, 11160, 13586, 12680, 585, 15185, 6849, 2591, 609, 17748, 563, 1692, 547, 1491, 1744, 559, 1690, 527, 454, 18814, 547, 922, 3618, 344, 543, 15280, 6492, 267, 10438, 695, 559, 1690, 527, 593, 922, 1378, 666, 581, 3833, 4101, 269, 15706, 1419, 3442, 29893, 610, 14342, 607, 8925, 269, 6271, 4781, 568, 519, 32314, 1106, 799, 666, 581, 10375, 569, 15702, 883, 1216, 610, 5144, 269, 11408, 17982, 9360, 2687, 547, 5528, 269, 634, 5227, 9570, 540, 695, 559, 1690, 527, 568, 476, 4968, 268, 4335, 16936, 829, 1554, 563, 11854, 752, 609, 707, 4387, 1354, 2921, 695, 559, 1690, 527, 269, 4340, 547, 7840, 267, 695, 559, 1690, 527, 568, 5156, 547, 581, 519, 1034, 2500, 950, 3144, 593, 606, 8900, 7181, 267, 23295, 538, 519, 6640, 267, 538, 1931, 547, 5688, 1047, 922, 1648, 20993, 3601, 563, 4537, 559, 1690, 527, 666, 581, 3144, 538, 2789, 1114, 2081, 912, 268, 32254, 281, 476, 273, 268, 275, 512, 4944, 695, 559, 1690, 527, 8869, 6404, 609, 1216, 610, 5144, 2899, 513, 1554, 454, 268, 595, 2355, 2544, 281, 476, 272, 695, 559, 1690, 527, 23555, 2899, 513, 1554, 610, 607, 5227, 676, 519, 4387, 454, 268, 7305, 339, 281, 476, 272, 695, 559, 1690, 527, 16979, 7466, 513, 1554, 610, 607, 5227, 676, 519, 4387, 454, 268, 31201, 338, 543, 9522, 923, 281, 898, 8952, 2960, 30437, 543, 4195, 910, 1039, 519, 10786, 547, 6084, 20143, 543, 20909, 29689, 1212, 4461, 585, 519, 1034, 2500, 4999, 454, 13436, 547, 519, 5354, 540, 9360, 267, 621, 3340, 513, 1974, 540, 942, 547, 7747, 519, 2360, 269, 769, 519, 2013, 540, 695, 559, 1690, 527, 267, 621, 3335, 3217, 476, 273, 268, 274, 3275, 547, 20559, 519, 5222, 593, 707, 2949, 1072, 543, 6197, 563, 22025, 1113, 17121, 12186, 454, 10932, 814, 1044, 2944, 547, 1397, 519, 3106, 2157, 540, 2921, 695, 559, 1690, 527, 607, 513, 1279, 3856, 7110, 269, 1717, 972, 814, 1044, 930, 2427, 2360, 9571, 563, 18128, 2064, 6920, 602, 695, 559, 1690, 527, 779, 2702, 547, 2569, 1973, 2604, 949, 10460, 513, 1981, 585, 2043, 2921, 1164, 1973, 2604, 6646, 610, 609, 513, 1686, 540, 1970, 1973, 2604, 630, 1506, 13607, 3290, 1070, 607, 1134, 607, 1346, 609, 4540, 2295, 2175, 563, 1607, 3351, 2478, 476, 1911, 260, 6986, 1744, 559, 1690, 527, 18300, 1349, 609, 513, 5934, 476, 736, 260, 540, 519, 3742, 12146, 27975, 17771, 18729, 547, 948, 5818, 26176, 2088, 585, 2367, 543, 2021, 607, 1134, 607, 8937, 1072, 269, 898, 568, 8476, 609, 570, 6160, 328, 267, 29518, 1731, 659, 32627, 543, 6519, 4053, 2993, 585, 5021, 10338, 563, 1607, 29881, 543, 13387, 1349, 3568, 1100, 1447, 982, 476, 2568, 260, 3505, 17771, 3679, 1950, 543, 3568, 1164, 2157, 540, 5916, 546, 756, 523, 15605, 8584, 1790, 344, 14772, 543, 546, 756, 523, 15605, 8584, 1790, 10455, 821, 6985, 24418, 1231, 799, 948, 1489, 1648, 2504, 538, 519, 2634, 543, 4887, 5160, 1282, 3635, 563, 763, 2647, 5044, 540, 8810, 1072, 2640, 2404, 609, 695, 559, 1690, 527, 2306, 621, 513, 2067, 7110, 964, 5703, 540, 938, 3007, 563, 2467, 849, 5526, 547, 581, 3875, 2666, 31771, 3156, 540, 695, 559, 1690, 527, 593, 519, 16880, 267, 5732, 8744, 827, 1713, 9283, 547, 1004, 779, 2729, 269, 0, 1432, 1772, 3131, 8327, 531, 17496, 543, 1215, 2052, 1411, 700, 846, 898, 888, 4407, 1034, 1004, 616, 5432, 609, 476, 736, 270, 736, 267, 610, 1256, 476, 736, 270, 1789, 5075, 267, 972, 779, 1776, 1826, 540, 5075, 4502, 1620, 281, 15672, 5075, 563, 8110, 8327, 531, 5075, 568, 519, 851, 540, 707, 8289, 602, 2636, 596, 547, 1294, 1919, 856, 540, 519, 7944, 540, 707, 3750, 269, 10251, 267, 621, 666, 1376, 547, 7771, 609, 2085, 1107, 543, 952, 2451, 31250, 267, 621, 666, 1291, 547, 930, 3978, 2042, 1524, 519, 4155, 563, 1432, 568, 15672, 5075, 888, 2691, 596, 1413, 693, 606, 1843, 267, 707, 4064, 6494, 6786, 547, 707, 2634, 547, 1711, 606, 3239, 269, 901, 3239, 568, 2813, 676, 519, 1769, 602, 9356, 1055, 540, 519, 1843, 543, 883, 707, 3750, 563, 763, 1858, 538, 519, 4099, 540, 713, 3239, 602, 596, 1294, 5693, 568, 1572, 3844, 5075, 267, 1247, 519, 1858, 4478, 3844, 5075, 568, 1572, 15672, 5075, 563, 8110, 8327, 531, 5075, 568, 606, 1898, 851, 540, 707, 8289, 602, 2636, 596, 547, 1294, 3615, 602, 616, 711, 538, 707, 1463, 1899, 540, 8289, 269, 898, 1522, 711, 581, 607, 8325, 607, 707, 3844, 5075, 267, 855, 621, 779, 2629, 585, 4948, 4247, 899, 6117, 267, 6972, 1524, 519, 24383, 267, 543, 1256, 6616, 950, 18825, 568, 4947, 3297, 596, 563, 3383, 267, 1018, 568, 15672, 5075, 2530, 888, 5331, 713, 281, 856, 540, 24076, 267, 707, 5075, 6238, 547, 7522, 269, 14730, 1145, 5956, 1212, 9429, 538, 689, 519, 2451, 267, 1318, 267, 1283, 267, 543, 5377, 267, 543, 607, 596, 11784, 267, 519, 3432, 693, 799, 707, 5075, 562, 541, 4900, 4679, 269, 769, 513, 2339, 540, 3764, 267, 782, 596, 666, 1294, 568, 513, 1507, 15993, 540, 1769, 538, 519, 4099, 540, 707, 5075, 269, 13185, 827, 27337, 4328, 2336, 9827, 1634, 607, 15993, 5075, 267, 15672, 5075, 2530, 568, 513, 6175, 538, 707, 2702, 547, 1294, 3615, 602, 616, 1055, 547, 519, 2427, 269, 1677, 2285, 596, 606, 2856, 540, 875, 938, 2634, 3096, 15672, 5075, 267, 1577, 779, 1491, 513, 6251, 1413, 693, 875, 649, 1184, 2592, 563, 2467, 616, 1079, 2010, 540, 2281, 538, 519, 22100, 281, 25862, 543, 22203, 269, 1230, 525, 616, 5631, 538, 519, 4099, 540, 519, 22100, 267, 799, 568, 3743, 585, 3844, 5075, 543, 2681, 8226, 269, 634, 1964, 568, 4988, 609, 22203, 543, 789, 616, 3743, 585, 15672, 5075, 543, 3781, 5075, 267, 3850, 721, 547, 1294, 538, 1970, 1769, 855, 3246, 1152, 2370, 1469, 563, 2026, 649, 2085, 267, 519, 1297, 540, 22203, 538, 938, 22100, 11081, 1247, 519, 1297, 540, 25862, 13978, 5266, 3586, 267, 799, 5012, 547, 513, 7771, 610, 2530, 540, 15672, 5075, 269, 901, 568, 513, 3339, 851, 540, 10172, 543, 568, 711, 2356, 513, 2014, 585, 6161, 563, 4913, 267, 952, 596, 2461, 7680, 513, 27290, 7771, 610, 6727, 2530, 538, 707, 15672, 5075, 267, 621, 1223, 581, 513, 1129, 540, 513, 811, 3978, 5817, 2783, 7133, 519, 1599, 540, 707, 22203, 563, 5278, 2589, 540, 15672, 5075, 2530, 602, 596, 1058, 4585, 856, 585, 1331, 912, 268, 645, 18804, 883, 3615, 454, 268, 14627, 550, 8813, 454, 268, 11109, 7411, 2542, 610, 6117, 454, 268, 11109, 7411, 7487, 693, 3781, 454, 268, 22628, 4158, 610, 20747, 593, 519, 9018, 8728, 454, 268, 700, 3151, 707, 3666, 610, 4743, 546, 714, 5414, 454, 2691, 596, 1376, 7680, 891, 2589, 267, 596, 1058, 1294, 606, 29555, 332, 6048, 607, 4166, 607, 2009, 547, 1205, 513, 1697, 5868, 543, 2126, 563, 3963, 666, 596, 6336, 15672, 5075, 888, 299, 3151, 15672, 5075, 568, 835, 540, 519, 7887, 4145, 585, 4587, 1004, 267, 855, 621, 666, 849, 1860, 1346, 540, 721, 945, 616, 7820, 563, 4407, 621, 779, 513, 3339, 851, 540, 10172, 267, 972, 616, 849, 1896, 824, 3123, 602, 666, 1291, 547, 15672, 5075, 2530, 267, 971, 607, 912, 268, 9697, 541, 9711, 288, 3056, 2014, 540, 5075, 2530, 267, 513, 25942, 716, 568, 519, 804, 537, 3429, 540, 519, 3750, 779, 2067, 7828, 269, 1306, 25942, 9711, 1020, 267, 789, 666, 2014, 20747, 337, 1465, 267, 1350, 732, 267, 543, 8417, 547, 1769, 563, 268, 4144, 12185, 30636, 14527, 2691, 3987, 568, 711, 1134, 22306, 267, 621, 666, 3441, 519, 1973, 8043, 538, 519, 22100, 267, 3056, 547, 15847, 30636, 14527, 563, 268, 3794, 26153, 2304, 3750, 2783, 602, 14796, 519, 23726, 8229, 267, 799, 11438, 1344, 689, 707, 4064, 547, 707, 2634, 269, 898, 568, 519, 3056, 2014, 540, 21901, 585, 1004, 936, 476, 2568, 1296, 2025, 563, 268, 8065, 1075, 514, 8328, 5061, 7197, 26390, 514, 8328, 5061, 267, 971, 607, 700, 16256, 543, 3235, 560, 6470, 267, 666, 1860, 707, 5075, 267, 3056, 547, 10151, 610, 8628, 15993, 5075, 563, 268, 20353, 9627, 10666, 476, 1789, 260, 540, 1004, 609, 31264, 1995, 3308, 2589, 1572, 606, 513, 3120, 267, 799, 666, 1331, 15993, 5075, 563, 268, 8838, 545, 8411, 4345, 763, 11926, 540, 519, 23726, 8229, 267, 4929, 20747, 787, 610, 3897, 5075, 267, 20585, 543, 535, 12184, 2681, 8226, 267, 543, 1928, 538, 519, 1394, 540, 707, 3750, 23094, 563, 268, 4825, 1400, 1033, 16670, 763, 22100, 568, 513, 6094, 4494, 540, 5160, 693, 519, 1394, 540, 519, 3750, 602, 779 ]

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

[ 2474, 540, 519, 744, 6347, 7046, 7457, 14539, 15716, 454, 4415, 519, 1646, 540, 4359, 9804, 5663, 2029, 267, 519, 4359, 9804, 4152, 2029, 814, 849, 1044, 2919, 267, 543, 519, 31785, 5852, 568, 606, 2653, 543, 2500, 9804, 4152, 1907, 799, 568, 2141, 2938, 607, 513, 4152, 3044, 269, 4595, 519, 9804, 5123, 3892, 666, 581, 3362, 13939, 676, 1896, 31785, 9999, 267, 519, 5123, 13346, 31785, 5852, 630, 4916, 296, 264, 814, 1044, 4922, 1031, 538, 9804, 6482, 1496, 272, 1700, 274, 4940, 634, 2773, 540, 623, 10485, 5631, 5673, 593, 519, 31785, 10309, 267, 1604, 543, 5123, 13346, 5690, 630, 4916, 288, 1070, 585, 519, 6378, 31785, 10309, 543, 1604, 267, 14222, 623, 6347, 666, 2087, 519, 2773, 540, 623, 10485, 269, 1323, 14222, 623, 6347, 1058, 723, 1079, 5383, 799, 616, 1164, 6111, 543, 2053, 3058, 4183, 267, 14222, 623, 6347, 1223, 16401, 519, 1114, 5686, 540, 6959, 547, 2087, 519, 6111, 267, 971, 607, 519, 3765, 5632, 12299, 540, 2650, 15605, 20675, 706, 1356, 630, 303, 313, 307, 1070, 18785, 5470, 267, 5854, 1049, 5470, 267, 2011, 31285, 538, 519, 2324, 1604, 267, 16132, 540, 519, 8955, 267, 3092, 1421, 32047, 267, 952, 621, 568, 2653, 547, 2936, 543, 1152, 2115, 1447, 5123, 17146, 31785, 9999, 267, 621, 786, 4688, 942, 267, 2063, 569, 267, 519, 623, 6347, 609, 4351, 5123, 6521, 786, 581, 1202, 17567, 547, 519, 5123, 6521, 5470, 1813, 547, 519, 3765, 5632, 12299, 540, 623, 313, 307, 267, 5854, 1049, 5470, 267, 2011, 31285, 267, 16132, 540, 519, 8955, 4908, 267, 8754, 267, 513, 3728, 543, 4977, 4351, 623, 6347, 568, 1898, 585, 519, 1164, 7779, 9804, 4152, 609, 31785, 5852, 563, 1103, 2487, 1296, 267, 1082, 4351, 13662, 2026, 723, 1044, 2919, 267, 621, 666, 581, 5258, 883, 519, 27952, 543, 1875, 268, 3438, 894, 13662, 2026, 269, 13575, 267, 519, 6111, 540, 519, 27952, 623, 6347, 568, 5266, 1164, 267, 855, 621, 3790, 811, 942, 1317, 540, 519, 27952, 5106, 267, 543, 519, 1875, 268, 3438, 894, 623, 6347, 22939, 1447, 942, 982, 519, 27952, 623, 6347, 267, 855, 519, 6111, 949, 581, 711, 607, 1164, 607, 519, 27952, 623, 6347, 269, 1280, 519, 9804, 1558, 14347, 267, 2523, 585, 519, 538, 2198, 1558, 14347, 267, 519, 8216, 2033, 640, 540, 623, 6347, 568, 1360, 1271, 267, 8754, 267, 1152, 513, 1507, 1297, 540, 27952, 13662, 2026, 723, 1044, 2919, 1496, 275, 1700, 277, 3910, 1034, 3744, 941, 8149, 547, 1382, 519, 1875, 268, 3438, 894, 4351, 623, 6347, 609, 1164, 6111, 563, 1103, 476, 1960, 273, 267, 10787, 22641, 543, 26761, 476, 8246, 700, 1170, 1690, 748, 5515, 543, 31753, 17501, 547, 5173, 519, 5123, 3017, 1063, 1079, 31785, 9999, 267, 543, 538, 476, 1001, 277, 267, 20568, 1696, 620, 269, 476, 6069, 513, 623, 6347, 799, 666, 8195, 1349, 519, 7318, 5123, 543, 5123, 6521, 689, 1152, 1079, 31785, 9999, 1210, 700, 1170, 1690, 748, 4137, 543, 31753, 17501, 2029, 267, 855, 891, 1079, 6620, 1312, 991, 840, 1922, 559, 18146, 543, 519, 1875, 10595, 6134, 8515, 3892, 786, 1860, 519, 6111, 269, 3245, 476, 1220, 274, 547, 476, 1001, 275, 267, 595, 2967, 1696, 620, 269, 1496, 280, 1700, 1704, 316, 6069, 513, 3126, 540, 8579, 6620, 799, 666, 1349, 519, 5123, 10593, 543, 7318, 5123, 267, 2705, 267, 1034, 540, 891, 6620, 991, 547, 917, 519, 14556, 885, 540, 1843, 543, 4704, 267, 543, 1082, 4114, 574, 725, 538, 519, 13662, 2026, 786, 1860, 519, 6111, 269, 3245, 476, 1001, 272, 547, 476, 1001, 278, 1496, 1240, 1700, 2190, 3910, 6069, 513, 3126, 540, 13662, 2026, 1759, 593, 9030, 5057, 2079, 630, 303, 7563, 264, 799, 568, 606, 3608, 4480, 585, 5123, 10868, 676, 14291, 513, 1305, 540, 7654, 17047, 4632, 883, 513, 1305, 540, 2418, 540, 4608, 528, 22366, 4632, 267, 855, 621, 2115, 811, 982, 1614, 31785, 9999, 609, 519, 5123, 6521, 1134, 7856, 1063, 476, 271, 543, 476, 273, 11027, 1317, 621, 2115, 547, 10208, 5266, 4977, 1611, 25746, 3033, 8515, 267, 8754, 267, 519, 811, 519, 31785, 9999, 267, 519, 2362, 519, 6111, 568, 267, 855, 811, 31785, 9999, 786, 1942, 811, 11601, 942, 543, 12985, 942, 267, 621, 568, 2352, 547, 3489, 519, 1164, 6111, 543, 1164, 3432, 8195, 269, 769, 476, 1001, 273, 2073, 4843, 513, 1079, 9912, 1629, 617, 1637, 1759, 593, 519, 12896, 4149, 577, 28704, 9647, 517, 5436, 1436, 1505, 630, 14899, 273, 1070, 621, 3340, 18946, 519, 9823, 2165, 676, 19003, 1354, 7900, 717, 306, 273, 269, 769, 476, 1001, 275, 2073, 6069, 606, 4359, 717, 306, 1505, 1572, 717, 306, 274, 267, 621, 2115, 1614, 5123, 17146, 31785, 9999, 267, 543, 519, 2101, 5413, 540, 713, 1505, 568, 602, 621, 15824, 1134, 950, 519, 5123, 6521, 568, 2673, 547, 12631, 607, 1034, 1079, 9912, 6620, 1831, 23380, 538, 713, 3510, 563, 5804, 519, 1657, 2148, 2137, 267, 649, 1336, 513, 7613, 602, 1082, 13662, 2026, 991, 840, 1922, 559, 18146, 1354, 519, 5123, 10868, 267, 519, 840, 1922, 559, 18146, 1184, 786, 1942, 811, 942, 267, 543, 621, 949, 1860, 519, 6111, 267, 538, 1840, 267, 930, 13662, 2026, 799, 1810, 1406, 991, 840, 1922, 559, 18146, 949, 991, 811, 982, 1614, 31785, 9999, 267, 789, 786, 849, 6108, 811, 942, 269, 13575, 267, 519, 623, 6347, 609, 811, 31785, 9999, 814, 1164, 6111, 543, 1970, 3432, 267, 543, 519, 623, 6347, 609, 1447, 31785, 9999, 814, 1164, 3432, 543, 1970, 6111, 267, 621, 568, 2352, 547, 3489, 519, 1164, 6111, 543, 3432, 8195, 269, 1677, 3666, 519, 12985, 942, 543, 6111, 267, 519, 1382, 540, 1875, 268, 3438, 894, 4351, 623, 6347, 609, 1447, 31785, 9999, 543, 1100, 840, 1922, 559, 18146, 568, 1898, 563, 1103, 713, 1957, 267, 649, 786, 1865, 513, 3728, 543, 4977, 1079, 9912, 623, 6347, 609, 4351, 5123, 6521, 269, 8791, 476, 273, 6799, 519, 6240, 543, 1184, 540, 519, 6069, 623, 6347, 1759, 593, 9030, 5057, 2079, 543, 700, 1170, 1690, 748, 31753, 17501, 630, 303, 7563, 261, 4041, 293, 1040, 769, 8791, 476, 274, 519, 11191, 540, 7193, 288, 261, 4041, 293, 568, 5941, 267, 543, 519, 6476, 540, 7193, 288, 261, 4041, 293, 609, 717, 306, 568, 5340, 269, 8791, 476, 275, 27786, 519, 3209, 7193, 288, 261, 4041, 293, 609, 519, 8097, 1239, 269, 634, 3932, 568, 6368, 6537, 538, 8791, 476, 276, 563, 763, 8515, 7215, 540, 519, 5123, 17146, 31785, 9999, 616, 454, 13420, 566, 630, 272, 264, 666, 581, 17370, 9287, 607, 454, 2690, 7193, 288, 267, 519, 1101, 1900, 568, 19003, 519, 4282, 8515, 676, 18946, 519, 3328, 540, 782, 519, 5123, 17146, 31785, 9999, 267, 2705, 267, 519, 4282, 8515, 666, 581, 1134, 17515, 1152, 950, 519, 5123, 6521, 568, 1134, 7856, 1063, 476, 271, 543, 476, 273, 11027, 543, 519, 1297, 540, 519, 5123, 17146, 31785, 9999, 568, 1804, 2614, 267, 950, 519, 5123, 6521, 568, 968, 12690, 569, 892, 7856, 543, 519, 1297, 540, 5123, 17146, 31785, 9999, 568, 1507, 267, 519, 5123, 13939, 676, 7193, 288, 786, 581, 711, 4977, 267, 543, 2523, 950, 972, 616, 1152, 1079, 5123, 17146, 31785, 9999, 267, 519, 1483, 5123, 666, 1405, 581, 13939, 676, 7193, 288, 2094, 519, 4282, 8515, 666, 685, 581, 17515, 538, 713, 3510, 269, 9747, 267, 649, 1374, 513, 1007, 1505, 799, 666, 1349, 519, 4977, 5123, 1510, 519, 4282, 8515, 19003, 676, 7193, 288, 267, 543, 621, 1152, 2115, 1079, 14477, 5123, 17146, 31785, 9999, 563, 5804, 26169, 269, 630, 273, 1070, 649, 666, 1294, 602, 519, 8515, 540, 519, 5123, 17146, 31785, 6945, 666, 581, 6829, 607, 513, 5276, 4999, 540, 1079, 6786, 267, 519, 4282, 8515, 543, 6846, 2165, 269, 3973, 267, 649, 666, 27682, 26169, 269, 630, 273, 264, 607, 454, 763, 31809, 5119, 595, 666, 581, 6829, 607, 454, 9616, 602, 267, 568, 1483, 543, 21136, 5119, 267, 621, 666, 581, 15497, 1242, 607, 267, 1141, 543, 616, 15497, 543, 26667, 14290, 9950, 336, 269, 630, 277, 1070, 649, 666, 1205, 519, 4082, 540, 607, 292, 336, 269, 630, 1321, 264, 666, 581, 17370, 9287, 607, 292, 336, 338, 269, 630, 275, 1070, 630, 278, 264, 543, 630, 1428, 1070, 649, 723, 292, 336, 269, 630, 1626, 264, 666, 581, 17370, 9287, 607, 292, 336, 269, 630, 278, 1070, 26169, 269, 630, 274, 264, 666, 581, 17370, 9287, 607, 454, 763, 6240, 3334, 540, 519, 31785, 9999, 616, 2016, 676, 454, 763, 5123, 786, 581, 13939, 676, 7193, 288, 1210, 519, 1101, 543, 2034, 3334, 630, 345, 272, 543, 1990, 273, 1070, 602, 14687, 547, 519, 5207, 27744, 267, 607, 26169, 269, 630, 2420, 1040, 292, 336, 338, 269, 630, 1704, 264, 543, 630, 736, 1070, 649, 666, 1533, 602, 772, 543, 667, 5330, 547, 543, 6606, 269, 3973, 267, 649, 666, 27682, 26169, 269, 630, 2641, 264, 607, 454, 2171, 917, 602, 529, 513, 476, 273, 6398, 476, 273, 26667, 5119, 267, 865, 621, 666, 581, 6829, 607, 292, 336, 269, 630, 2767, 264, 666, 581, 17370, 9287, 607, 292, 336, 269, 630, 2764, 264, 568, 1175, 606, 31753, 3830, 267, 13420, 566, 630, 2764, 264, 666, 581, 9450, 607, 513, 2489, 598, 545, 1599, 281, 292, 336, 269, 630, 4029, 264, 2115, 547, 2743, 519, 2175, 540, 543, 1547, 769, 519, 1739, 267, 519, 1483, 5123, 3892, 786, 581, 5833, 676, 519, 700, 1170, 1690, 748, 31753, 17501, 630, 4041, 293, 264, 1505, 269, 17616, 267, 676, 28321, 1990, 273, 1996, 1990, 272, 538, 513, 31951, 11282, 267, 513, 700, 1170, 1690, 748, 31753, 799, 568, 1175, 519, 6041, 540, 26169, 269, 630, 2764, 264, 786, 581, 2813, 267, 543, 621, 786, 581, 2653, 547, 5173, 519, 598, 545, 14170, 540, 26169, 269, 630, 4029, 264, 676, 519, 2547, 10945, 5690, 267, 1287, 267, 519, 10859, 2173, 1994, 17931, 267, 10859, 15902, 528, 17931, 267, 519, 4099, 15558, 543, 666, 581, 7229, 607, 292, 336, 338, 269, 630, 2767, 264, 543, 630, 2764, 1070, 519, 5123, 666, 581, 3362, 7229, 607, 454, 17780, 593, 519, 3741, 540, 7193, 288, 543, 700, 9128, 267, 649, 15974, 513, 3209, 1505, 1572, 6240, 3334, 2079, 543, 700, 1170, 1690, 748, 31753, 17501, 5690, 630, 303, 7563, 261, 4041, 293, 1070, 621, 666, 1349, 519, 5123, 3892, 689, 1079, 14477, 5123, 17146, 31785, 9999, 1510, 4282, 8515, 19003, 267, 621, 18788, 519, 19231, 602, 7193, 288, 2115, 811, 982, 1614, 31785, 9999, 609, 1134, 7856, 5123, 10593, 547, 10208, 5266, 4977, 1611, 25746, 3033, 8515, 269, 769, 519, 1739, 267, 649, 786, 6338, 519, 1184, 540, 519, 6069, 1505, 538, 1469, 912, 268, 476, 272, 264, 2637, 4733, 513, 5119, 594, 609, 2450, 540, 267, 1141, 519, 32671, 6241, 568, 3144, 6241, 3772, 689, 519, 8515, 540, 32671, 5123, 17146, 31785, 9999, 3248, 268, 476, 273, 264, 5173, 519, 31809, 5119, 595, 676, 3830, 3248, 268, 476, 274, 264, 5173, 519, 26667, 5119, 1519, 519, 14802, 27523, 540, 519, 31809, 5119, 595, 3248, 268, 476, 275, 264, 3489, 519, 1101, 543, 2034, 6240, 3334, 630, 345, 272, 543, 1990, 273, 264, 799, 14687, 547, 519, 5207, 27744, 676, 476, 3248, 268, 476, 276, 264, 4729, 606, 16977, 31753, 609, 1990, 273, 607, 519, 1535, 11282, 543, 1990, 272, 607, 519, 586, 11282, 3248, 268, 476, 277, 264, 5173, 519, 10859, 2173, 1994, 17931, 2073, 10859, 15902, 528, 17931, 2073, 519, 4099, 15558, 543, 540, 519, 700, 1170, 1690, 748, 31753, 1210, 700, 9128, 676, 26169, 269, 630, 3953, 11850, 268, 476, 278, 264, 5173, 519, 5123, 3892, 1210, 26169, 269, 630, 3451, 1916, 763, 2898, 5650, 540, 519, 7193, 288, 261, 4041, 293, 568, 11609, 538, 8431, 269, 476, 272, 563, 2414, 13182, 519, 7145, 540, 519, 1505, 6069, 1657, 267, 649, 1685, 513, 3126, 540, 10230, 13502, 267, 543, 5635, 621, 609, 717, 306, 799, 568, 513, 1134, 3887, 1998, 18050, 1079, 9912, 4351, 623, 6347, 267, 4063, 602, 267, 519, 23664, 6975, 6953, 340, 836, 840, 1922, 559, 18146, 786, 581, 5340, 1354, 1210, 717, 306, 269, 769, 519, 1739, 267, 782, 26398, 616, 5340, 609, 519, 17765, 540, 27311, 27562, 264, 11759, 24867, 300, 264, 1775, 278, 268, 277, 3583, 271, 543, 519, 476, 279, 26838, 3965, 267, 543, 649, 946, 519, 4223, 18350, 3301, 585, 8193, 282, 8943, 476, 272, 540, 7193, 288, 261, 4041, 293 ]

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

[ 257, 14818, 2480, 1681, 543, 5811, 4635, 590, 3008, 630, 1001, 275, 994, 6637, 476, 279, 269, 1323, 4985, 547, 30014, 15863, 7869, 910, 11550, 290, 16843, 307, 454, 7644, 307, 6763, 585, 30014, 15863, 7869, 267, 606, 1935, 547, 7421, 1449, 1239, 543, 2679, 4255, 602, 814, 1044, 538, 1646, 2094, 519, 476, 3422, 271, 338, 269, 898, 568, 3006, 5219, 547, 607, 2413, 1449, 3069, 607, 10353, 547, 8106, 1449, 3069, 267, 799, 18271, 2035, 899, 595, 1258, 22138, 779, 11664, 13672, 543, 6221, 270, 11687, 21374, 269, 4014, 8106, 1449, 3069, 568, 1869, 4922, 1031, 267, 2523, 538, 2665, 1141, 519, 1449, 568, 1031, 1152, 2899, 543, 585, 3871, 1141, 519, 1297, 540, 4983, 525, 568, 1507, 267, 16843, 307, 814, 1831, 519, 8789, 1935, 547, 1449, 2079, 538, 1804, 4152, 3292, 630, 20459, 20389, 338, 267, 14330, 2969, 338, 267, 543, 3486, 16198, 899, 623, 7644, 11862, 543, 29376, 5960, 264, 543, 849, 538, 3292, 585, 13995, 540, 1804, 2338, 540, 1053, 630, 1492, 3046, 981, 585, 17864, 267, 585, 1383, 1040, 16340, 569, 6340, 267, 952, 596, 723, 513, 1449, 602, 568, 1373, 2016, 547, 1447, 982, 476, 1911, 1004, 267, 543, 585, 799, 596, 1810, 1406, 1544, 593, 10451, 606, 6221, 4871, 547, 7485, 689, 267, 596, 616, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 2005, 655, 15863, 7869, 630, 7644, 307, 17983, 607, 851, 540, 834, 3633, 24102, 1315, 13281, 1299, 20970, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 272, 281, 24531, 1715, 2622, 338, 998, 7335, 692, 5970, 596, 2479, 4862, 540, 834, 14937, 21582, 24742, 7931, 1734, 22172, 3143, 286, 4270, 267, 1577, 781, 4685, 883, 713, 4241, 24848, 516, 1927, 256, 1411, 1522, 4898, 1018, 10800, 2692, 903, 543, 15832, 723, 538, 1455, 609, 3979, 1977, 2528, 269, 1635, 3695, 1114, 2010, 540, 2984, 267, 649, 1930, 6000, 909, 547, 1007, 2833, 543, 1451, 827, 1585, 2950, 543, 741, 2189, 12583, 269, 901, 3184, 786, 6338, 596, 547, 519, 1523, 540, 4563, 21582, 24742, 7931, 1734, 543, 1946, 789, 2339, 269, 1924, 10544, 513, 1433, 543, 6443, 803, 593, 713, 5339, 7045, 2439, 4089, 476, 272, 281, 1548, 3657, 4563, 21582, 24742, 7931, 1734, 2496, 5331, 3054, 7086, 14563, 2066, 5318, 9299, 597, 625, 593, 7504, 3724, 896, 519, 1025, 5074, 3141, 267, 1175, 899, 513, 12703, 10800, 24742, 269, 3767, 4952, 9991, 538, 2648, 1247, 3257, 865, 256, 2334, 781, 10502, 1018, 4523, 538, 4563, 21582, 24742, 7931, 1734, 269, 1452, 2835, 9192, 519, 13858, 9035, 540, 10800, 24742, 1272, 609, 4190, 2648, 2984, 10023, 2178, 267, 13730, 3197, 945, 2697, 607, 851, 540, 519, 3979, 1977, 2146, 269, 3807, 607, 972, 616, 32741, 1305, 538, 2413, 4872, 267, 3140, 2053, 267, 610, 1256, 28531, 26441, 267, 891, 9089, 3560, 721, 547, 519, 3552, 7178, 855, 4099, 1472, 3109, 10800, 2692, 903, 543, 5869, 1149, 780, 4089, 476, 273, 281, 4208, 9701, 1284, 5516, 6168, 4563, 21582, 24742, 7931, 1734, 2496, 2791, 1522, 2307, 3054, 267, 834, 3963, 1281, 2542, 827, 3109, 10800, 2692, 903, 543, 741, 11509, 15413, 3547, 2339, 8119, 4279, 2243, 256, 1280, 5553, 267, 2442, 2923, 814, 17814, 1978, 2592, 12145, 938, 1620, 540, 1686, 543, 4763, 269, 7734, 1683, 3255, 547, 4161, 1346, 11475, 676, 9306, 4244, 5380, 543, 11423, 10616, 2451, 856, 540, 2757, 6386, 269, 7335, 827, 3109, 10800, 2692, 903, 2636, 721, 547, 5660, 741, 7418, 547, 1977, 1686, 543, 1174, 875, 3309, 2516, 15548, 538, 2679, 938, 4182, 269, 9578, 267, 891, 2984, 4183, 9159, 8941, 4904, 609, 22838, 267, 6612, 267, 543, 10761, 1765, 15367, 9327, 1405, 1616, 547, 1224, 873, 31841, 4089, 476, 274, 281, 9669, 585, 667, 1516, 20553, 4563, 21582, 24742, 7931, 1734, 692, 28275, 4376, 1007, 666, 1745, 25254, 693, 1101, 267, 2523, 950, 11362, 883, 14542, 11964, 610, 5396, 269, 1809, 1810, 1405, 5855, 282, 1934, 616, 930, 4388, 547, 948, 596, 7832, 18390, 593, 707, 3460, 1384, 265, 13185, 547, 1866, 281, 9523, 707, 7279, 609, 1920, 2818, 267, 3610, 267, 610, 7172, 12579, 269, 1358, 949, 4363, 1390, 10643, 610, 2709, 4030, 883, 519, 9135, 563, 265, 4855, 11541, 2609, 281, 6733, 585, 3344, 540, 519, 1650, 602, 13469, 609, 707, 1378, 2833, 610, 4690, 269, 9320, 596, 2671, 513, 2648, 585, 9640, 267, 7045, 267, 610, 12423, 6456, 18408, 563, 265, 22737, 9636, 281, 6884, 267, 1565, 1797, 19480, 3544, 540, 938, 4313, 10851, 269, 5213, 1405, 21183, 2476, 689, 4101, 3584, 610, 1950, 4664, 269, 5502, 267, 946, 873, 607, 8458, 547, 1332, 543, 4228, 707, 20030, 780, 8855, 267, 1169, 5467, 6238, 12341, 269, 2142, 3461, 267, 8049, 267, 543, 9784, 519, 7772, 540, 6602, 269, 17652, 2614, 267, 596, 3513, 1265, 3054, 27153, 538, 519, 1158, 540, 4563, 21582, 24742, 7931, 1734, 2439, 1103, 10390, 1384, 1607, 3184, 5189, 596, 547, 519, 3078, 7706, 540, 4563, 21582, 24742, 7931, 1734, 267, 10771, 519, 2956, 540, 8508, 4763, 543, 9750, 938, 1620, 540, 1686, 998, 3332, 269, 2060, 1142, 2985, 5828, 267, 596, 10625, 4195, 5380, 543, 15052, 707, 7071, 585, 519, 1480, 1995, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 10454, 1101, 1554, 540, 29655, 7296, 568, 1851, 519, 1082, 23698, 1896, 2395, 269, 594, 2161, 621, 779, 835, 1369, 519, 23698, 2094, 713, 568, 519, 1554, 1141, 596, 2461, 8380, 11735, 707, 3983, 7296, 6208, 543, 6368, 1818, 513, 1689, 585, 1732, 269, 634, 1101, 1554, 540, 29655, 7296, 3085, 1406, 723, 547, 581, 513, 2182, 1554, 1107, 596, 1152, 723, 547, 917, 11449, 29655, 949, 581, 563, 3086, 267, 1808, 602, 596, 2995, 707, 538, 1840, 547, 2828, 596, 616, 29655, 269, 13207, 2130, 1945, 3606, 1004, 786, 2285, 596, 642, 2224, 642, 1901, 811, 2601, 711, 547, 979, 1394, 547, 707, 8912, 4356, 269, 4165, 4602, 622, 782, 519, 2152, 596, 786, 7237, 952, 596, 3068, 519, 733, 3949, 540, 29655, 269, 4495, 596, 1376, 7680, 15522, 15639, 2589, 267, 621, 666, 4443, 547, 581, 2111, 547, 1394, 267, 3787, 811, 1547, 596, 616, 1305, 585, 713, 267, 596, 616, 1447, 2469, 547, 2285, 1210, 269, 5269, 2386, 949, 9004, 1022, 10269, 5829, 2472, 689, 707, 1286, 267, 2777, 543, 960, 269, 2353, 707, 607, 6255, 7590, 543, 16906, 24502, 568, 2469, 269, 3973, 267, 3343, 948, 1055, 513, 2564, 575, 15843, 563, 11754, 3635, 547, 707, 12353, 6296, 547, 5372, 7296, 269, 7296, 20739, 752, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 14937, 21582, 24742, 7931, 1734, 257, 607, 851, 540, 834, 11227, 1315, 23620, 1315, 3979, 1977, 1299, 4563, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 4495, 2390, 513, 942, 538, 519, 844, 5593, 4884, 540, 590, 7967, 640, 25951, 267, 5030, 1079, 1655, 2828, 267, 23183, 543, 16092, 269, 23183, 729, 513, 22111, 1268, 945, 3576, 1390, 11348, 538, 1200, 5920, 543, 10450, 267, 1247, 16092, 729, 811, 9788, 1394, 267, 1419, 6028, 1919, 11489, 519, 2063, 8792, 269, 1358, 941, 607, 1114, 607, 25879, 543, 10381, 855, 3838, 606, 796, 19874, 762, 6125, 780, 3080, 13566, 12784, 267, 1310, 4730, 30321, 609, 1200, 2915, 7665, 267, 23183, 4362, 513, 1804, 267, 544, 28854, 30392, 1820, 593, 1200, 29814, 3043, 24095, 269, 674, 745, 1598, 730, 267, 1352, 1572, 936, 16092, 585, 948, 269, 834, 297, 600, 773, 10590, 1352, 524, 3072, 856, 267, 834, 16100, 1018, 7665, 814, 2944, 256, 1684, 596, 917, 875, 547, 1205, 7759, 540, 713, 29134, 12962, 12482, 297, 600, 773, 695, 745, 13949, 1875, 577, 531, 14688, 267, 834, 3963, 711, 2119, 1210, 930, 11256, 14614, 543, 16693, 286, 898, 1568, 13300, 585, 1034, 25859, 3010, 300, 807, 21330, 267, 5462, 547, 11177, 1200, 24095, 547, 922, 5449, 18710, 269, 2701, 6404, 3160, 2694, 11256, 14614, 543, 16693, 883, 513, 5394, 13594, 543, 4294, 621, 1252, 3585, 5196, 519, 12962, 269, 1306, 789, 31372, 585, 13977, 3764, 267, 519, 7848, 3459, 547, 535, 11170, 548, 543, 19389, 267, 1454, 899, 513, 2257, 4603, 780, 19602, 267, 8049, 6723, 267, 741, 11361, 7023, 267, 890, 1229, 689, 1010, 6885, 2066, 519, 8265, 269, 1261, 8068, 519, 862, 10056, 543, 4956, 547, 6443, 873, 269, 2060, 1296, 540, 7326, 896, 1010, 12966, 267, 646, 4280, 267, 834, 5970, 596, 6836, 7738, 621, 609, 8630, 14614, 267, 1762, 14799, 286, 2334, 781, 1776, 1505, 602, 1568, 1134, 3010, 20442, 10093, 1405, 2943, 267, 6004, 269, 6723, 2437, 14452, 23183, 1135, 7019, 267, 18507, 585, 1010, 5796, 269, 2991, 32092, 532, 1055, 519, 11256, 14614, 13594, 267, 789, 23953, 8630, 14614, 2047, 5196, 519, 12962, 543, 14478, 607, 621, 3323, 7106, 8960, 3787, 676, 3787, 269, 22628, 741, 1967, 267, 6004, 269, 6723, 20493, 27145, 1354, 16144, 1394, 1753, 780, 4913, 267, 1175, 950, 789, 2219, 789, 1185, 22482, 519, 12962, 267, 789, 7691, 972, 729, 1869, 513, 25861, 1665, 2451, 3297, 269, 769, 18418, 566, 267, 16092, 6700, 11544, 7250, 25681, 267, 8670, 12853, 267, 543, 1216, 1927, 269, 595, 2246, 13124, 267, 789, 546, 629, 5523, 519, 3070, 5196, 519, 6967, 12962, 543, 5402, 28103, 5523, 2476, 269, 1677, 741, 10508, 267, 519, 3803, 15244, 540, 519, 30392, 1820, 8709, 1639, 780, 9961, 713, 3003, 610, 1372, 531, 267, 7665, 2893, 23900, 22290, 873, 267, 4743, 16944, 585, 4929, 865, 1454, 8373, 269, 7464, 1944, 713, 267, 23183, 554, 28289, 1864, 2673, 543, 1767, 267, 834, 10673, 1405, 5855, 267, 14609, 344, 269, 6452, 6342, 4755, 269, 1809, 3314, 1985, 942, 267, 1100, 4881, 1472, 3330, 519, 2777, 15323, 1103, 519, 1439, 267, 7064, 547, 16542, 267, 9639, 267, 543, 1896, 3730, 4388, 267, 23183, 7307, 547, 4894, 519, 29134, 12962, 689, 1200, 11537, 24095, 269, 2859, 11932, 267, 1352, 4121, 3407, 4245, 827, 6043, 267, 5539, 267, 543, 19807, 1107, 7592, 602, 1131, 4196, 1200, 1134, 2429, 1272, 269, 1656, 782, 621, 3576, 729, 513, 2370, 3190, 2813, 676, 812, 781, 1655, 3659, 256, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 2710, 596, 723, 1022, 2500, 2409, 585, 7231, 609, 29134, 25859, 593, 15790, 1115, 543, 11647, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 1810, 1405, 723, 2123, 1995, 538, 7231, 609, 29134, 25859, 593, 15790, 1115, 543, 11647, 267, 855, 1934, 616, 930, 2500, 2409, 602, 1004, 4122, 946, 1384, 272, 269, 645, 1136, 14614, 543, 16693, 910, 17186, 3160, 2694, 540, 11256, 14614, 543, 16693, 547, 1106, 513, 13594, 267, 4019, 621, 547, 519, 12962, 267, 543, 1577, 621, 1694, 585, 476, 1789, 3764, 547, 606, 5662, 269, 681, 20600, 609, 1216, 543, 12511, 909, 4430, 7509, 780, 273, 269, 11833, 14614, 910, 32449, 8630, 14614, 593, 519, 12962, 543, 1025, 582, 621, 609, 513, 12308, 2394, 519, 12962, 568, 6569, 780, 274, 269, 25756, 25681, 910, 17186, 7250, 25681, 609, 8670, 12853, 543, 1216, 267, 4019, 621, 547, 519, 12962, 267, 543, 1577, 621, 1694, 585, 476, 276, 268, 1015, 3764, 269, 2349, 582, 519, 12962, 609, 513, 2973, 12308, 2394, 621, 568, 6569, 780, 275, 269, 12397, 560, 1105, 910, 14109, 30257, 8970, 560, 1105, 593, 519, 12962, 267, 1577, 621, 1694, 585, 476, 1789, 3764, 267, 543, 12511, 621, 909, 269, 19244, 519, 1184, 2394, 519, 12962, 568 ]

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

[ 711, 6535, 656, 1227, 3238, 267, 789, 7283, 2673, 2828, 267, 10027, 5109, 519, 1871, 540, 7925, 2792, 1657, 782, 3116, 269, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 9989, 519, 4670, 2709, 1022, 3435, 610, 8925, 547, 21603, 3347, 543, 25796, 2623, 888, 2026, 606, 3642, 1893, 2203, 267, 594, 3112, 1683, 1250, 2123, 6644, 267, 855, 834, 293, 12188, 609, 11588, 257, 28420, 519, 1291, 3197, 16734, 602, 789, 1616, 4514, 4296, 543, 1483, 3929, 25055, 267, 799, 4422, 3564, 3023, 269, 27870, 519, 1439, 540, 519, 4670, 267, 789, 11760, 741, 4606, 585, 1142, 824, 543, 6430, 547, 11654, 513, 9758, 11509, 2078, 267, 10834, 602, 3020, 8788, 543, 20106, 2097, 689, 2348, 513, 8149, 543, 8076, 2078, 609, 2576, 269, 3958, 267, 519, 4670, 849, 2982, 519, 2956, 540, 2792, 267, 19969, 267, 543, 13438, 538, 2679, 6209, 4296, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 563, 268, 16992, 543, 5188, 281, 1711, 12300, 3197, 945, 4497, 538, 6209, 7391, 267, 4543, 547, 2491, 543, 2263, 519, 2257, 2035, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 269, 0, 8080, 547, 938, 3408, 540, 12194, 543, 875, 789, 666, 1860, 721, 256, 4653, 267, 649, 2811, 2469, 547, 4685, 883, 1945, 1572, 9866, 612, 633, 4211, 20234, 14601, 13081, 267, 1419, 5219, 547, 607, 24753, 269, 5213, 1405, 5855, 910, 713, 3085, 1405, 1611, 596, 991, 547, 581, 2706, 6896, 610, 2648, 7738, 269, 898, 781, 2965, 513, 2603, 811, 7294, 982, 602, 256, 1284, 3513, 1445, 593, 835, 1880, 2460, 540, 24753, 1634, 607, 519, 834, 325, 792, 540, 1818, 9073, 1701, 5620, 596, 2479, 5433, 2731, 14126, 827, 3478, 1945, 4636, 286, 9320, 950, 2921, 513, 1449, 693, 1153, 610, 4730, 513, 7328, 286, 4270, 267, 4952, 4743, 899, 602, 782, 519, 942, 936, 6263, 1919, 1107, 4992, 7168, 9157, 267, 1318, 286, 2913, 781, 1451, 811, 2439, 5575, 1055, 267, 1577, 781, 1174, 1018, 24753, 1797, 269, 3807, 899, 2348, 1079, 4064, 610, 4557, 11263, 267, 24753, 568, 1776, 8984, 602, 930, 1004, 6923, 723, 269, 1879, 2576, 814, 24753, 267, 789, 1995, 13311, 4555, 267, 4606, 267, 610, 2712, 2471, 602, 1711, 9636, 610, 2566, 269, 1452, 616, 1572, 18930, 687, 269, 6884, 891, 13943, 4606, 2014, 873, 547, 798, 1978, 1919, 14578, 547, 1745, 1732, 269, 8409, 3527, 616, 1572, 22079, 687, 269, 1924, 267, 952, 2576, 609, 24753, 4991, 18901, 540, 3190, 532, 909, 267, 789, 1522, 5595, 27902, 3388, 2789, 2053, 1175, 547, 2327, 4986, 4422, 993, 1170, 269, 8528, 3086, 267, 1577, 781, 24680, 538, 593, 519, 4250, 540, 1818, 9073, 269, 5994, 2141, 20468, 827, 3257, 1945, 27235, 267, 899, 30534, 547, 2490, 1055, 519, 8279, 1354, 6028, 1753, 610, 18417, 838, 3739, 10433, 593, 707, 6780, 269, 4658, 7231, 609, 713, 1826, 540, 4250, 7683, 1589, 827, 2009, 6959, 267, 1100, 2339, 875, 1507, 269, 1358, 1223, 1831, 865, 14221, 827, 1373, 19451, 602, 789, 1020, 6208, 971, 607, 10992, 543, 973, 515, 9535, 960, 267, 6998, 6266, 540, 2055, 267, 610, 5275, 3586, 15260, 4269, 269, 901, 5571, 4783, 3217, 2476, 1648, 543, 18399, 689, 3232, 2238, 780, 2080, 781, 1141, 1919, 1205, 4277, 269, 9894, 596, 917, 602, 3006, 938, 12058, 1404, 15361, 593, 721, 286, 2334, 2370, 5639, 3330, 707, 2212, 6031, 834, 6343, 952, 8119, 1259, 1932, 1454, 568, 2186, 540, 899, 513, 14229, 21294, 4012, 6509, 3843, 547, 16297, 596, 609, 17559, 9059, 15361, 269, 1809, 3314, 267, 1346, 15361, 5749, 1405, 1483, 267, 543, 9444, 616, 1034, 540, 519, 19048, 4947, 689, 519, 4250, 540, 1818, 9073, 269, 31418, 1512, 1767, 982, 2944, 267, 1498, 267, 1318, 286, 1546, 2718, 609, 24753, 3884, 1405, 12193, 16074, 267, 855, 1620, 1946, 621, 4523, 666, 581, 16779, 269, 2060, 9639, 267, 2259, 267, 543, 6148, 930, 5583, 689, 4648, 945, 20647, 538, 4543, 1004, 4308, 609, 24753, 267, 4896, 10010, 666, 1265, 8323, 780, 3383, 267, 1985, 942, 596, 5469, 3054, 31361, 1154, 827, 19870, 267, 1491, 513, 2620, 7362, 269, 3911, 850, 6616, 602, 3025, 2306, 9073, 543, 602, 789, 2811, 1271, 19480, 10007, 2509, 1565, 1007, 8631, 269, 10312, 593, 3356, 2864, 982, 19870, 1317, 3972, 803, 267, 18864, 781, 3501, 256, 1656, 3314, 267, 952, 596, 610, 2576, 3116, 9060, 2933, 16290, 538, 519, 4783, 540, 4250, 543, 8969, 267, 1810, 1405, 19292, 547, 2307, 585, 948, 269, 2991, 782, 267, 649, 4312, 3893, 1142, 824, 781, 19758, 538, 713, 3460, 1927, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 24679, 779, 711, 827, 968, 338, 333, 6260, 856, 540, 621, 282, 892, 596, 17330, 519, 1489, 547, 948, 596, 29379, 707, 1272, 563, 25332, 612, 633, 4211, 20234, 14601, 13081, 630, 302, 7374, 264, 568, 513, 2790, 1072, 2783, 602, 5540, 6634, 540, 1004, 2066, 519, 1158, 269, 2755, 621, 779, 1455, 547, 723, 519, 17573, 703, 28424, 4555, 610, 1685, 513, 16625, 2623, 1934, 610, 972, 267, 2043, 609, 24753, 786, 723, 13311, 4555, 267, 17915, 267, 543, 2790, 5961, 630, 1492, 18930, 687, 264, 602, 1287, 2285, 4473, 547, 16625, 5615, 543, 5924, 3206, 3270, 630, 1492, 22079, 687, 1040, 1280, 1383, 267, 707, 4555, 949, 4368, 622, 796, 19055, 2406, 593, 513, 4250, 540, 2800, 581, 6420, 532, 3054, 610, 1866, 267, 4145, 827, 12526, 267, 610, 513, 4250, 540, 1818, 513, 12161, 630, 1721, 930, 267, 519, 4555, 949, 849, 4655, 609, 741, 2418, 267, 3853, 267, 610, 16858, 267, 799, 666, 581, 1256, 811, 1950, 543, 1253, 7675, 1040, 769, 606, 3801, 547, 13468, 519, 1713, 9636, 543, 4160, 15427, 676, 519, 31117, 267, 596, 1522, 1287, 23494, 1688, 11547, 267, 2638, 267, 1293, 267, 610, 10956, 1808, 3527, 269, 10705, 267, 606, 7920, 4250, 540, 7334, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 792, 540, 10435, 27190, 1389, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 3281, 14601, 10263, 1315, 9866, 612, 633, 3281, 14601, 13081, 630, 302, 7374, 29215, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7982, 950, 594, 729, 538, 2852, 267, 594, 1185, 2141, 1044, 19832, 676, 13395, 3140, 2621, 543, 741, 2484, 23568, 5222, 269, 2290, 2680, 602, 3226, 27278, 803, 729, 519, 23162, 7323, 850, 19822, 543, 922, 21987, 269, 1924, 267, 585, 1250, 3803, 1957, 538, 513, 1686, 1362, 267, 594, 4956, 547, 2263, 875, 519, 6433, 4299, 519, 2797, 543, 2804, 3347, 1063, 18010, 543, 519, 2136, 2276, 780, 2026, 851, 540, 1250, 1382, 267, 594, 16686, 2390, 606, 4277, 23749, 8142, 1141, 3755, 941, 7234, 519, 1360, 1888, 594, 729, 4974, 269, 2271, 29098, 267, 594, 2813, 513, 27024, 543, 8678, 519, 6643, 269, 1284, 1642, 1386, 4514, 883, 519, 1641, 267, 4687, 4030, 689, 1585, 2959, 649, 1336, 1282, 938, 1378, 1382, 269, 898, 3533, 2968, 7805, 602, 1082, 1004, 941, 23387, 540, 1175, 875, 3648, 519, 6433, 8032, 772, 2529, 11607, 290, 18866, 1894, 780, 3080, 3593, 3957, 834, 20931, 321, 4428, 5655, 257, 5018, 1945, 8966, 827, 1010, 1920, 4282, 1107, 646, 10645, 547, 723, 14077, 945, 1869, 5030, 538, 18010, 267, 2324, 538, 519, 524, 580, 541, 2872, 269, 3778, 321, 4428, 5655, 12212, 4607, 1416, 15004, 5627, 29586, 524, 580, 1513, 18705, 676, 891, 11397, 14077, 269, 1261, 1256, 795, 12097, 827, 2348, 513, 834, 332, 1961, 257, 3330, 18010, 267, 11488, 1864, 4686, 3688, 602, 1223, 711, 6382, 581, 5833, 1813, 547, 519, 5571, 4123, 2377, 14417, 780, 296, 7948, 1405, 948, 855, 2307, 952, 646, 1131, 581, 8348, 547, 2671, 1022, 2984, 610, 2833, 3823, 519, 2729, 540, 1346, 2713, 896, 971, 9993, 269, 1677, 1250, 9983, 267, 1686, 321, 4428, 5655, 8815, 256, 3683, 942, 267, 646, 11540, 1896, 10311, 24223, 519, 9620, 543, 6043, 540, 1010, 23162, 14077, 269, 1358, 12038, 540, 3908, 2200, 543, 3255, 855, 849, 6829, 11348, 538, 741, 6561, 543, 2528, 5103, 519, 2591, 789, 5185, 3232, 780, 10190, 3357, 519, 6397, 4729, 6335, 281, 538, 835, 9337, 267, 1686, 321, 4428, 5655, 7000, 602, 1010, 1920, 2818, 4941, 547, 1376, 13143, 532, 741, 1148, 16388, 958, 1500, 524, 580, 1513, 2047, 547, 5561, 538, 519, 2136, 2276, 269, 1717, 267, 3257, 865, 5921, 10188, 998, 6106, 540, 29904, 6483, 543, 3656, 10848, 4547, 827, 676, 519, 5756, 17489, 4123, 2377, 14417, 269, 3509, 23551, 6002, 9415, 1686, 321, 4428, 275, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 1705, 519, 23828, 6433, 1764, 519, 2797, 543, 2804, 1894, 1063, 18010, 543, 519, 2136, 2276, 538, 519, 1279, 2196, 888, 763, 23828, 6433, 1185, 513, 7096, 1764, 593, 519, 2797, 543, 2804, 1894, 1063, 18010, 543, 519, 2136, 2276, 538, 519, 1279, 2196, 269, 7971, 1227, 267, 621, 3366, 547, 513, 29947, 540, 519, 678, 3424, 602, 1185, 11478, 1063, 18010, 543, 519, 2136, 2276, 2094, 674, 14988, 10011, 549, 3357, 547, 1379, 538, 476, 4198, 280, 269, 634, 6433, 3927, 9672, 18010, 781, 4567, 607, 513, 8168, 24343, 543, 3366, 547, 513, 14304, 540, 519, 8168, 4211, 889, 534, 2078, 780, 292, 1595, 1227, 267, 519, 2136, 2276, 8045, 513, 7453, 2804, 543, 4123, 2377, 14417, 1996, 18010, 602, 3788, 538, 1747, 547, 713, 1554, 269, 634, 2377, 14417, 16094, 9673, 1206, 18010, 781, 2702, 547, 4497, 538, 4123, 609, 519, 2136, 2276, 267, 799, 568, 835, 540, 519, 1158, 781, 4102, 11615, 269, 901, 814, 1185, 513, 1713, 1764, 593, 519, 23162, 4346, 267, 799, 814, 17388, 547, 1020, 543, 1332, 2094, 519, 2377, 14417, 729, 13684, 780, 763, 1279, 3856, 1198, 540, 519, 23828, 6433, 593, 18010, 781, 2078, 609, 519, 2136, 853, 320, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 17345, 5149, 281, 4197, 962, 1690, 3534, 910, 589, 10513, 9605, 681, 3770, 538, 18420, 692, 9213, 267, 649, 2811, 2469, 547, 1451, 827, 606, 3504, 2259, 1572, 962, 1690, 3534, 267, 799, 568, 513, 1826, 540, 3595, 9161, 5340, 676, 27734, 1472, 519, 1158, 269, 1411, 1522, 4898, 1946, 649, 9364, 1616, 547, 1353, 1945, 865, 1808, 607, 513, 3909, 9161, 267, 855, 1620, 1114, 4529, 2337, 721, 5660, 938, 1378, 811, 7184, 1247, 1565, 827, 1866, 8339, 1924, 267, 616, 596, 4712, 286, 2913, 781, 4685, 883, 519, 4241, 1158, 540, 962, 1690, 3534, 2439, 1432, 568, 962, 1690, 3534, 888, 312, 1690, 3534, 2501, 689, 519, 16130, 1893, 267, 2495, 1412, 342, 11208, 262, 610, 1412, 4752, 1359, 9538, 15439, 2322, 267, 962, 1690, 3534, 568, 513, 10723, 16008, 5473, 17008, 1500, 547, 3595, 24587, 1107, 3397, 14269, 1107, 607, 606, 957, 540, 10847, 269, 901, 9161, 814, 1044, 13736, 2094, 966, 14037, 2053, 267, 936, 1614, 8536, 1296, 3516, 256, 5994, 1373, 851, 540, 971, 606, 2025, 2245, 1869, 9800, 2221 ]

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

[ 15700, 519, 6534, 11746, 3330, 563, 265, 7358, 622, 519, 5925, 676, 7432, 5679, 10849, 610, 10296, 16181, 547, 4188, 4320, 543, 6728, 5542, 563, 265, 4045, 681, 7563, 15791, 18172, 547, 741, 7222, 16788, 593, 1312, 3457, 780, 1262, 3721, 476, 274, 281, 17553, 5455, 519, 966, 10135, 4373, 3086, 267, 24559, 3054, 609, 519, 966, 10135, 781, 8060, 1384, 265, 2878, 20175, 29502, 4995, 4964, 532, 713, 7735, 7140, 519, 966, 10135, 593, 610, 1055, 269, 1411, 1522, 5873, 513, 9543, 1208, 950, 621, 781, 15181, 563, 265, 2878, 300, 1712, 22732, 4995, 4469, 760, 713, 6467, 547, 2824, 1063, 1404, 3724, 267, 2594, 267, 610, 824, 12331, 269, 1280, 1631, 267, 1305, 621, 547, 834, 13434, 867, 4799, 265, 2878, 2419, 14128, 8564, 832, 4995, 2422, 891, 16181, 547, 6330, 998, 7641, 9055, 610, 3403, 2959, 269, 4595, 649, 2811, 2519, 593, 5925, 19827, 267, 11716, 891, 585, 1631, 563, 265, 2878, 24127, 6513, 338, 4995, 17797, 519, 4320, 1377, 1210, 891, 16181, 610, 3866, 338, 780, 12648, 4063, 540, 519, 966, 10135, 781, 4159, 5496, 267, 799, 786, 1397, 1271, 1344, 1282, 10916, 780, 1262, 3721, 476, 275, 281, 27759, 519, 15571, 4373, 7476, 6899, 5665, 519, 5925, 1384, 265, 2878, 307, 12941, 12928, 984, 4995, 15585, 622, 713, 5679, 984, 29628, 610, 4831, 22018, 3772, 547, 1689, 10473, 269, 19415, 585, 11979, 610, 9739, 547, 5815, 5365, 4222, 563, 265, 2878, 24127, 6513, 4995, 12414, 909, 610, 1524, 547, 4188, 519, 10978, 1145, 563, 265, 2878, 1805, 566, 3465, 1115, 4995, 2368, 2234, 3930, 1450, 9494, 5172, 10473, 1210, 1095, 564, 16181, 269, 22695, 648, 891, 585, 1631, 780, 8340, 513, 2312, 267, 2178, 5365, 585, 519, 5551, 5925, 2911, 1397, 269, 6875, 707, 942, 14577, 519, 25122, 5679, 984, 2394, 596, 4309, 1434, 21200, 780, 1262, 3721, 476, 276, 281, 4045, 532, 519, 20905, 4373, 29791, 519, 5925, 547, 519, 966, 10135, 1210, 681, 7563, 15791, 1384, 265, 700, 11229, 519, 681, 7563, 3977, 795, 2931, 593, 519, 1394, 540, 519, 5925, 267, 2356, 6825, 834, 29423, 1470, 4934, 257, 610, 2147, 10297, 563, 265, 10576, 519, 7222, 681, 7563, 3403, 795, 2931, 593, 519, 966, 10135, 267, 3335, 13042, 834, 18118, 769, 257, 610, 834, 288, 5060, 769, 8487, 265, 23453, 519, 681, 7563, 10814, 7475, 883, 741, 9757, 16788, 267, 4180, 5150, 4296, 780, 1607, 4276, 2636, 519, 966, 10135, 547, 7001, 8301, 6786, 689, 519, 5925, 780, 1262, 3721, 476, 277, 281, 23453, 532, 519, 18706, 8291, 570, 1901, 4373, 20278, 519, 22101, 8291, 11746, 883, 519, 966, 10135, 1384, 265, 7046, 519, 966, 10135, 781, 22101, 8291, 26654, 7450, 676, 11319, 610, 23510, 621, 1930, 563, 265, 28528, 7696, 519, 11746, 267, 26936, 922, 29601, 609, 519, 966, 10135, 781, 10274, 563, 265, 19171, 519, 26654, 7450, 547, 4497, 519, 11746, 780, 763, 966, 10135, 786, 8850, 3713, 519, 11746, 1826, 543, 3259, 780, 1262, 3721, 476, 278, 281, 18786, 519, 5589, 1800, 4373, 24375, 13830, 519, 5925, 2911, 1397, 1384, 265, 3550, 519, 7154, 6467, 568, 1869, 1305, 547, 834, 13434, 867, 8487, 265, 4964, 519, 834, 25440, 257, 7735, 593, 519, 966, 10135, 1247, 8195, 10296, 519, 834, 13434, 867, 257, 7735, 269, 1411, 949, 1294, 8279, 1166, 4770, 610, 5873, 581, 10134, 30260, 10916, 4567, 563, 265, 6744, 519, 966, 10135, 781, 4159, 5496, 585, 22245, 27669, 267, 10834, 1714, 17863, 10916, 942, 780, 9824, 1314, 543, 2972, 519, 6592, 5925, 2911, 1397, 2439, 1262, 19522, 1299, 24410, 7632, 327, 17415, 4373, 5278, 5363, 23456, 543, 1455, 2152, 547, 4585, 856, 585, 1384, 265, 2878, 13434, 1800, 5384, 4995, 5901, 3950, 540, 519, 10916, 8653, 547, 2057, 4881, 856, 540, 11746, 2230, 563, 265, 2878, 14294, 531, 23848, 4995, 18554, 519, 5925, 5365, 2298, 547, 2327, 6099, 10916, 2175, 563, 265, 2878, 290, 762, 12983, 4995, 7638, 1518, 1697, 681, 7563, 10814, 4296, 547, 2061, 8301, 6749, 8083, 610, 23673, 563, 265, 2878, 307, 1901, 30047, 4995, 15188, 22101, 8291, 7148, 525, 2476, 689, 1463, 7943, 267, 7509, 267, 543, 3665, 5210, 547, 2226, 1239, 8699, 780, 23558, 267, 3659, 256, 1411, 4312, 6707, 1031, 513, 966, 10135, 547, 2594, 6905, 5925, 2911, 2982, 269, 18461, 1863, 547, 4603, 609, 1114, 5468, 543, 2934, 547, 3986, 707, 1995, 269, 8080, 547, 519, 8748, 1158, 540, 12746, 2029, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 8196, 513, 966, 10135, 585, 27326, 5589, 1800, 540, 15571, 13185, 31698, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 17138, 281, 1215, 547, 3367, 9093, 781, 10610, 5678, 585, 4469, 597, 1154, 692, 7072, 912, 8139, 1560, 1893, 568, 606, 1898, 5578, 950, 3843, 547, 21264, 952, 2576, 568, 5461, 538, 596, 6535, 656, 1227, 269, 901, 3391, 786, 1445, 4481, 593, 2542, 2367, 781, 1560, 1893, 607, 789, 1166, 7398, 269, 1635, 11287, 741, 17267, 267, 11132, 7215, 267, 14302, 267, 543, 5322, 267, 596, 666, 2744, 5813, 883, 2436, 646, 781, 13631, 547, 596, 610, 1175, 1373, 7874, 269, 5457, 602, 1169, 1268, 568, 2189, 267, 865, 891, 4191, 949, 4268, 689, 1367, 547, 1367, 269, 1717, 267, 713, 2376, 2488, 930, 1455, 10832, 4767, 538, 1082, 2367, 1247, 1166, 597, 1154, 780, 3721, 476, 272, 281, 27297, 3571, 16685, 13555, 454, 15008, 281, 2290, 540, 519, 1034, 1713, 3344, 540, 1560, 1893, 1282, 1166, 7398, 520, 1190, 13341, 3322, 3750, 3346, 269, 589, 812, 945, 4749, 2306, 2178, 3750, 3346, 609, 596, 1522, 581, 6029, 11509, 1719, 269, 1261, 949, 3180, 707, 22401, 3476, 982, 8912, 267, 1413, 2476, 13713, 1354, 5870, 707, 4064, 1586, 267, 610, 6318, 1010, 32071, 4900, 4090, 3320, 2390, 7487, 596, 269, 1452, 3527, 5815, 18906, 4369, 543, 7279, 2509, 596, 780, 7659, 9669, 1299, 13832, 912, 268, 5213, 1405, 12161, 17573, 1350, 1734, 607, 2312, 4191, 540, 16007, 2094, 1004, 1419, 16145, 1472, 873, 796, 4621, 19290, 269, 5502, 267, 2628, 3007, 547, 5812, 543, 12675, 3750, 3346, 563, 268, 2142, 13533, 602, 2686, 3604, 543, 1514, 8155, 1223, 3310, 875, 1454, 3750, 3346, 568, 2808, 3617, 269, 11408, 2015, 519, 2796, 538, 799, 519, 5872, 3217, 1747, 780, 3721, 476, 273, 281, 21302, 3571, 3911, 4979, 18963, 454, 15008, 281, 1879, 513, 812, 1159, 3796, 22992, 693, 596, 267, 2523, 950, 596, 3717, 610, 2671, 1945, 827, 3054, 267, 621, 6920, 2318, 4606, 2509, 596, 269, 589, 9758, 12837, 10301, 519, 4064, 543, 5932, 32060, 2282, 519, 9018, 15174, 630, 322, 992, 781, 3952, 1040, 3958, 267, 4585, 856, 585, 1159, 597, 6362, 610, 1989, 15619, 1107, 32436, 8942, 547, 12404, 741, 31768, 610, 10761, 1472, 596, 780, 7659, 9669, 1299, 13832, 912, 268, 31692, 880, 1063, 1483, 543, 16995, 1159, 3796, 676, 3168, 585, 8076, 10291, 899, 7715, 781, 3952, 543, 6659, 1750, 4060, 563, 268, 5901, 538, 2247, 602, 9644, 4249, 513, 1909, 538, 2870, 4296, 282, 4061, 267, 3838, 17409, 3085, 1405, 2141, 1226, 622, 547, 11509, 1719, 855, 666, 4196, 607, 513, 5748, 585, 2679, 29037, 780, 3721, 476, 274, 281, 18564, 3571, 5403, 675, 543, 8447, 1160, 343, 14383, 454, 15008, 281, 589, 812, 945, 682, 753, 5594, 4724, 596, 1282, 7391, 9727, 3742, 6947, 543, 6278, 269, 5015, 267, 952, 646, 15387, 1930, 1560, 1893, 1107, 4608, 1484, 539, 7916, 267, 17159, 17525, 1107, 621, 5267, 4313, 543, 7789, 2032, 269, 9796, 3007, 547, 1022, 8320, 1141, 646, 19141, 707, 17267, 610, 7575, 6251, 547, 596, 267, 10834, 15222, 1436, 543, 1761, 7998, 780, 7659, 9669, 1299, 13832, 912, 268, 21727, 2123, 2230, 6302, 543, 2057, 32415, 873, 17543, 610, 16662, 1549, 958, 269, 14190, 1864, 547, 20006, 11029, 804, 4923, 612, 563, 268, 25506, 602, 2825, 2188, 267, 971, 607, 27939, 12417, 610, 15624, 2450, 267, 666, 1764, 14302, 543, 16133, 269, 10312, 593, 5812, 3270, 2864, 982, 9678, 13685, 780, 3721, 476, 275, 281, 19873, 29110, 4221, 10263, 454, 15008, 281, 8752, 267, 13680, 18953, 593, 519, 6186, 267, 13105, 267, 610, 1394, 666, 24901, 3395, 25055, 269, 1403, 513, 812, 1404, 2685, 512, 2355, 707, 1688, 1247, 28617, 610, 9900, 26814, 4552, 1055, 707, 3068, 267, 891, 616, 2356, 1434, 4191, 540, 15754, 269, 1717, 267, 2327, 602, 519, 5905, 568, 3617, 543, 20888, 676, 1312, 6105, 780, 7659, 9669, 1299, 13832, 912, 268, 3117, 550, 568, 2629, 950, 16208, 15700, 2623, 269, 8550, 8263, 10479, 1759, 9003, 593, 1560, 1893, 6786, 563, 268, 6333, 2686, 7648, 3823, 2168, 3346, 8155, 269, 2368, 2043, 610, 2950, 1522, 13498, 1978, 2010, 540, 5905, 8335, 780, 3721, 476, 276, 281, 13772, 4934, 585, 674, 573, 1326, 532, 610, 8682, 8566, 3336, 532, 30123, 999, 454, 15008, 281, 16842, 535, 573, 1326, 532, 267, 14577, 7802, 267, 4881, 11263, 998, 4552, 267, 610, 824, 1582, 3766, 3336, 532, 5615, 949, 2303, 8401, 1145, 610, 10761, 269, 2755, 891, 3527, 1810, 1405, 8209, 6166, 11509, 1719, 267, 789, 798, 17538, 513, 15398, 4656, 540, 835, 781, 5920, 543, 1629, 6756, 528, 1472, 596, 780, 7659, 9669, 1299, 13832, 912, 268, 13760, 602, 4160, 610, 9636, 1522, 2014, 2147, 5615, 267, 1818, 7664, 4101, 269, 6733, 585, 3606, 10881, 7258, 535, 573, 1326, 532, 547, 1106, 513, 1134, 25454, 4879, 563, 268, 3680, 17259, 547, 8753, 1759, 9003, 593, 5634, 535, 573, 1326, 532, 610, 25462, 6208, 267, 607, 5007, 2188, 899, 2566, 610, 9854, 1223, 849, 3565, 547, 971, 2932, 780, 6962, 912, 11328, 31147, 2367, 781, 1560, 1893, 585, 1166, 597, 1154, 3340, 6297, 8343, 267, 9639, 267, 543, 1620, 540, 1585, 13857, 10291, 269, 1306, 596, 2259, 9301, 891, 4191, 267, 3314, 602, 2792, 3788, 4105, 538, 5587, 4328, 15752, 543, 5807, 6209, 3347, 269, 11086, 267, 3972, 707, 26756, 1247, 6236, 519, 6626, 2796, 1369, 799, 4205, 2049, 269, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 5649, 9093, 781, 10610, 5678, 585, 4469, 597, 1154, 257, 538, 519, 2511, 540, 14392, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 269, 3550, 9355, 543, 16566, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 269, 1684, 711, 946, 2592, 269, 0, 7170, 281, 1215, 547, 15232, 519, 26943, 2435, 5548, 2074, 540, 13244, 22526, 6019, 267, 4993, 692, 3721, 476, 272, 281, 3194, 13244, 22526, 6019, 28690, 454, 6524, 25054, 593, 707, 11477, 3460, 998, 13244, 22526, 6019, 267, 1491, 930, 942, 547, 1382, 519, 2199, 1426, 2528, 269, 901, 3148, 568, 1634, 585, 922, 4195, 16872, 267, 12725, 6738, 3132, 267, 543, 5140, 9174, 6429, 269, 6733, 883, 2442, 8286, 543, 5820, 5065, 547, 713, 1858, 865, 596, 666, 1732, 5660, 1018, 2306, 13244, 22526, 6019, 11951, 2189, 780, 3721, 476, 273, 281, 4643, 513, 16731, 547, 513, 10871, 10787, 1067, 781, 10369, 454, 306, 9017, 22526, 6019, 814, 3875, 16027, 781, 6990, 2429, 519, 3018, 1141, 596, 666, 1265, 4195, 5613, 267, 5388, 267, 11922, 267, 5810, 267, 543, 824, 6237, 2472, 269, 1635, 9683, 835, 540, 891, 6990, 267, 596, 786, 1489, 2199, 6705, 1247, 11543, 1569, 547, 519, 23906, 4554, 5820, 2009, 269, 2422, 891, 2344, 9060, 607, 6667, 585, 6980, 1282, 707, 3251, 610, 6718, 3688, 547, 3142, 1394, 1753, 609, 596, 780, 3721, 476, 274, 281, 10812, 10871, 12736, 7685, 454, 763, 13244, 962, 928, 345, 9503, 267, 4092, 538, 13244, 22526, 6019, 267, 19646, 811, 982, 476, 4037, 3094, 7685, 543, 512, 8463, 11623, 269, 1975, 754, 513, 1554, 521, 6235, 593, 8366, 20421, 932, 30972, 333, 904, 267, 18237, 582, 3143, 15077, 267, 5204, 19207, 338, 267, 543, 16410, 1716, 564, 28397, 341, 793, 976, 1247, 2921, 538, 28677, 11903, 12881, 5784, 269, 3509, 3094, 7685, 2709, 19150, 543, 3872, 2833, 267, 3246, 5813, 883, 741, 3857, 22450, 2853, 543, 2553, 780, 3721, 476, 275, 281, 667, 710, 4934, 693, 31777, 1218, 7981, 1944, 538, 10871, 23123, 454, 2414, 4628, 1995, 519, 10366, 540, 13244, 22526, 6019, 267, 1118, 31681, 693, 14060, 8149, 547, 1210, 12119, 267, 12725, 21433, 5820, 269, 2368, 8037, 24284, 1331, 634 ]

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

[ 6388, 540, 519, 18289, 16514, 13870, 8943, 267, 824, 2477, 616, 1869, 21679, 609, 2147, 2152, 269, 1635, 4687, 2984, 899, 23600, 267, 5310, 649, 666, 3565, 2509, 5807, 5188, 1472, 891, 3584, 543, 12167, 585, 2318, 1689, 269, 2991, 782, 267, 1169, 4062, 540, 2923, 11438, 519, 1761, 547, 8300, 267, 4161, 267, 543, 1921, 2043, 2066, 4529, 1107, 1577, 781, 2327, 1346, 3255, 5749, 1405, 588, 604, 1194, 16349, 569, 269, 0, 2237, 513, 1483, 3734, 1650, 3838, 676, 2576, 538, 513, 14703, 8468, 269, 634, 1650, 1058, 581, 11214, 1644, 547, 713, 1257, 6256, 281, 3097, 22081, 723, 24890, 4031, 543, 6042, 4299, 519, 4670, 2872, 2429, 1686, 888, 290, 839, 11208, 4031, 543, 6042, 723, 1185, 513, 1713, 1764, 593, 519, 4670, 2872, 2429, 1686, 269, 769, 2038, 476, 736, 628, 2540, 267, 519, 18289, 16514, 13870, 8943, 729, 3964, 538, 519, 2136, 2276, 267, 799, 19275, 519, 24575, 540, 8763, 14920, 267, 1527, 534, 640, 267, 543, 1978, 1514, 2152, 899, 954, 24055, 3347, 610, 4638, 10066, 269, 9603, 547, 713, 3009, 267, 32349, 1185, 547, 16783, 609, 7453, 4808, 267, 799, 7494, 3908, 519, 5876, 540, 19971, 543, 5830, 269, 4935, 267, 519, 8874, 602, 941, 5950, 941, 1419, 24846, 1242, 8747, 540, 1483, 3734, 2984, 267, 5929, 3332, 267, 610, 4249, 780, 7628, 519, 476, 3422, 271, 338, 543, 476, 3192, 271, 338, 267, 519, 24890, 4031, 2968, 811, 561, 1314, 267, 3850, 32349, 547, 2263, 6213, 2152, 971, 607, 519, 10476, 2782, 267, 3075, 946, 267, 543, 14920, 609, 513, 811, 10853, 1935, 269, 1717, 267, 930, 2477, 1869, 24451, 7453, 24890, 4031, 269, 1280, 1383, 267, 3127, 8045, 513, 24890, 4604, 1572, 519, 9919, 10640, 763, 1650, 1058, 1331, 281, 3097, 268, 18990, 4690, 610, 9644, 281, 4685, 883, 1808, 12348, 267, 4690, 267, 610, 14973, 3871, 3097, 268, 1323, 6397, 4729, 6335, 610, 2502, 4655, 281, 6338, 513, 11541, 2943, 4101, 3510, 610, 14196, 602, 519, 2278, 5185, 269, 3097, 268, 14506, 543, 5813, 281, 1439, 609, 513, 6571, 602, 3091, 513, 1007, 1620, 267, 513, 2631, 540, 2146, 267, 610, 513, 2123, 13414, 267, 1454, 899, 519, 8753, 6537, 538, 8468, 5717, 563, 9359, 519, 1650, 1318, 2476, 269, 0, 769, 713, 3184, 267, 649, 786, 5490, 883, 519, 1158, 540, 17626, 2792, 10873, 1369, 519, 2796, 540, 11251, 2780, 1949, 269, 13018, 267, 649, 786, 2263, 519, 17629, 1306, 2106, 28942, 25547, 1853, 3690, 2466, 614, 630, 308, 11286, 264, 7014, 267, 799, 568, 4922, 1031, 538, 971, 1949, 1813, 547, 922, 16134, 543, 17545, 269, 1284, 786, 849, 1865, 875, 772, 11286, 13352, 883, 519, 6626, 5251, 540, 2413, 7384, 543, 10618, 4066, 780, 4263, 922, 4295, 267, 772, 11286, 568, 513, 8800, 5057, 602, 6087, 1239, 6771, 1063, 3457, 3842, 513, 2582, 1899, 585, 23142, 543, 8391, 1239, 1583, 6053, 269, 901, 1935, 24716, 609, 6252, 2792, 267, 1141, 2789, 3515, 616, 1031, 8195, 547, 10141, 1239, 11353, 269, 634, 3119, 5413, 540, 17626, 2792, 6013, 538, 922, 2702, 547, 2569, 11443, 6988, 1247, 4509, 10257, 1239, 4483, 3928, 780, 2414, 1174, 875, 772, 11286, 1568, 267, 1577, 781, 1101, 4983, 930, 4909, 2035, 5817, 3059, 10618, 281, 11353, 267, 25466, 267, 536, 7596, 2557, 267, 3247, 11353, 267, 26027, 267, 543, 2095, 1852, 269, 1452, 2474, 4766, 1585, 3344, 540, 519, 1184, 3238, 538, 14291, 6151, 9352, 1344, 883, 513, 3898, 5078, 585, 6771, 2066, 2168, 2923, 899, 5122, 15791, 610, 9804, 11103, 269, 1635, 13215, 891, 13654, 2609, 267, 596, 786, 581, 1732, 5423, 547, 9787, 519, 14960, 540, 772, 11286, 543, 824, 17626, 2792, 10873, 780, 1262, 289, 1080, 4995, 589, 3787, 4564, 519, 10545, 1770, 540, 3059, 1344, 267, 2921, 2901, 513, 1871, 540, 476, 271, 610, 476, 272, 269, 645, 1080, 666, 581, 5916, 547, 2099, 3677, 2418, 282, 585, 1383, 267, 5216, 15654, 11353, 1118, 909, 513, 31632, 12544, 1455, 2268, 585, 8204, 3197, 538, 7384, 3156, 780, 1262, 289, 7596, 15580, 4995, 2725, 25979, 538, 4559, 1572, 536, 7596, 267, 519, 536, 7596, 2557, 4016, 547, 519, 1297, 540, 3090, 2242, 829, 2034, 10299, 936, 513, 2792, 8756, 269, 3962, 3090, 949, 2874, 540, 1896, 11353, 4470, 2390, 25244, 2553, 6964, 269, 1280, 3236, 267, 693, 476, 31634, 271, 536, 7596, 267, 476, 31634, 271, 6698, 616, 22121, 1169, 2034, 269, 1717, 267, 952, 1142, 3090, 5161, 540, 476, 279, 11353, 267, 1287, 3927, 267, 476, 10602, 269, 279, 4893, 984, 1080, 829, 2034, 630, 330, 321, 1186, 264, 1131, 581, 11843, 896, 4998, 2175, 780, 1262, 1805, 641, 645, 1080, 4995, 1677, 15222, 1125, 19670, 1239, 12535, 543, 10646, 873, 689, 7329, 548, 2829, 267, 3606, 11353, 1634, 607, 3247, 11353, 616, 813, 2105, 1310, 1142, 1915, 7406, 1282, 6771, 269, 15380, 1305, 547, 476, 272, 610, 476, 273, 3063, 11353, 1739, 519, 2063, 4890, 1239, 3787, 4433, 1070, 789, 5365, 519, 1439, 540, 513, 1915, 1895, 543, 5512, 519, 17513, 547, 759, 2106, 11388, 1125, 3294, 609, 519, 30699, 8308, 780, 1262, 303, 10846, 4995, 3474, 640, 568, 513, 2241, 5470, 7020, 7271, 5473, 4946, 606, 3063, 3787, 547, 1142, 10299, 31632, 1759, 593, 2436, 519, 2040, 540, 782, 18631, 1239, 11353, 568, 1256, 610, 9642, 269, 2311, 519, 8391, 1439, 267, 519, 17223, 26027, 3787, 568, 3379, 1996, 519, 4607, 835, 547, 2697, 1761, 6959, 5189, 1282, 6771, 269, 2755, 621, 2488, 8766, 4027, 1996, 1239, 13313, 267, 26027, 3788, 4143, 950, 7231, 609, 9371, 1949, 882, 5050, 593, 2596, 28863, 780, 1262, 23044, 6513, 4995, 10046, 1852, 5849, 6325, 1239, 4483, 1510, 11566, 519, 4390, 540, 2256, 1392, 269, 5565, 2442, 2409, 2291, 281, 8800, 3946, 327, 1136, 543, 3301, 3946, 327, 1136, 269, 10434, 2264, 3946, 327, 1136, 3096, 6131, 6786, 547, 10038, 6808, 1063, 30699, 543, 17513, 267, 6466, 3301, 3946, 327, 1136, 18271, 1808, 9479, 11251, 1369, 519, 1239, 6908, 3294, 269, 5637, 4485, 2832, 547, 2061, 17280, 24492, 3871, 602, 1223, 1291, 547, 4503, 610, 18348, 539, 1239, 21168, 780, 3086, 602, 649, 723, 3964, 1898, 16166, 1577, 721, 2490, 938, 3007, 2509, 519, 4052, 6388, 540, 891, 3741, 998, 519, 17629, 1306, 2106, 28942, 25547, 1853, 3690, 2466, 614, 630, 308, 11286, 1040, 1306, 5018, 4505, 267, 772, 11286, 5713, 607, 513, 1883, 5745, 2401, 585, 17626, 2792, 538, 3875, 11251, 1949, 267, 5356, 5383, 971, 607, 1970, 1942, 267, 8897, 540, 12122, 267, 543, 17356, 609, 3309, 17103, 899, 19954, 268, 22446, 267, 18292, 267, 543, 29402, 269, 5047, 267, 2016, 922, 24819, 4527, 538, 29668, 619, 267, 8596, 267, 27103, 2209, 267, 543, 1646, 12545, 267, 1620, 772, 11286, 3587, 16832, 585, 4896, 5887, 1005, 883, 519, 7706, 540, 14164, 543, 6880, 14428, 9713, 1949, 1374, 780, 1103, 9759, 267, 772, 11286, 3252, 607, 606, 8818, 1063, 513, 3984, 16267, 543, 5007, 13020, 1023, 267, 5883, 741, 5872, 3842, 607, 2106, 28942, 17626, 2792, 269, 898, 6104, 8460, 713, 4305, 676, 12270, 519, 2949, 1184, 883, 1079, 1292, 5933, 281, 25194, 543, 17683, 269, 13368, 532, 3322, 12180, 1367, 3197, 883, 14604, 9967, 540, 1376, 267, 1239, 267, 543, 18593, 3247, 11353, 267, 4553, 676, 17683, 1107, 11837, 891, 14604, 5196, 5951, 13257, 5078, 585, 21986, 531, 2059, 2168, 9055, 269, 5463, 5317, 543, 10868, 540, 3312, 3197, 1246, 2147, 3268, 693, 519, 18579, 2427, 780, 3519, 14808, 13701, 13054, 1776, 2565, 2460, 540, 772, 11286, 10342, 269, 20305, 666, 4188, 6724, 899, 536, 7596, 2557, 267, 1239, 3259, 630, 15893, 540, 11353, 829, 1915, 1070, 26027, 5468, 267, 543, 3247, 3787, 1293, 2687, 547, 3498, 4170, 543, 3044, 14908, 269, 6270, 8112, 2636, 15774, 5610, 1851, 19635, 3334, 5665, 896, 1114, 10148, 2943, 14379, 7561, 1369, 19618, 25121, 780, 2026, 513, 15266, 547, 922, 2956, 543, 15325, 267, 772, 11286, 5170, 9687, 7258, 7760, 538, 2029, 269, 7073, 30582, 1419, 6451, 2934, 899, 13128, 536, 7596, 2557, 7020, 267, 10889, 1229, 3403, 270, 16059, 4238, 267, 543, 1489, 585, 4359, 5470, 15494, 14565, 3564, 25229, 21747, 26027, 11974, 269, 9182, 267, 30015, 3054, 609, 513, 4396, 5748, 538, 772, 11286, 17950, 28382, 596, 1134, 585, 10188, 10848, 2404, 609, 4207, 11251, 1949, 4702, 780, 7661, 267, 621, 568, 4502, 15663, 4296, 1063, 772, 11286, 543, 6932, 3466, 5935, 2221, 781, 12985, 8916, 269, 2060, 18735, 540, 6531, 2861, 2533, 267, 6316, 7384, 26336, 11168, 7856, 4393, 3631, 13296, 10995, 9136, 29050, 1685, 4247, 12926, 11603, 585, 21438, 13763, 269, 9717, 922, 16134, 543, 4398, 267, 772, 11286, 4249, 11358, 5107, 8220, 5100, 3457, 3262, 2429, 5318, 10923, 20073, 525, 267, 4180, 5150, 543, 7347, 5385, 540, 5692, 2275, 15560, 1344, 896, 4101, 2825, 2175, 269, 5015, 267, 1382, 7341, 6322, 693, 5355, 12616, 9300, 5121, 543, 28707, 11418, 4749, 15407, 772, 11286, 10276, 12574, 13838, 19962, 547, 741, 11741, 1145, 267, 1379, 4398, 267, 543, 13916, 2066, 16221, 7653, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 8368, 540, 12937, 454, 19686, 585, 8851, 540, 24211, 23813, 689, 1216, 454, 28319, 823, 543, 1505, 585, 519, 8851, 540, 3282, 610, 13735, 2326, 689, 513, 1216, 2627, 454, 18850, 9084, 543, 4015, 2212, 619, 585, 513, 6882, 5127, 454, 19686, 543, 17102, 585, 1202, 1005, 2347, 10916, 540, 513, 8613, 1982, 454, 11947, 6453, 1826, 3239, 4159, 17102, 454, 19547, 1254, 17689, 9280, 609, 1769, 15041, 9231, 26534, 454, 1320, 514, 4670, 6419, 3965, 3926, 10647, 1224, 5106, 676, 513, 1582, 3146, 12401, 1505, 454, 306, 1122, 7757, 4496, 3787, 6050, 454, 290, 340, 4670, 18254, 3937, 540, 19202, 3926, 454, 16978, 549, 1372, 585, 22507, 762, 16864, 6007, 267, 1505, 540, 8600, 1482, 543, 22507, 762, 16864, 4402, 2483, 288, 14058, 565, 11718, 585, 3075, 19862, 543, 2409, 540, 10451, 27829, 454, 19686, 267, 1062, 267, 543, 1982, 585, 17034, 9343, 538, 835, 610, 811, 7515, 17598, 513, 3406, 7355, 454, 299, 822, 2658, 2030, 3957, 2387, 21574, 28535, 31947, 319, 454, 28406, 633, 2212, 613, 541, 585, 3043, 4248, 946, 454, 30791, 12966, 521, 7163, 543, 2409, 540, 1210, 5276, 12966, 521, 7163, 454, 18893, 673, 6467, 1062, 454, 289, 3930, 16428, 17102, 543, 1505, 609, 7663, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 19766, 21585, 1315, 2506, 5523, 4765, 8950, 7010, 1315, 5395, 658, 9442, 16257, 338, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]

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

[ 16398, 563, 2171, 616, 5143, 1498, 281, 968, 515, 11542, 1010, 16140, 267, 543, 10692, 609, 1390, 674, 1722, 267, 11489, 646, 4607, 2947, 543, 8938, 654, 2432, 267, 543, 2947, 540, 873, 676, 1744, 582, 10756, 1432, 1705, 623, 29521, 1289, 1142, 824, 888, 25105, 1195, 269, 13259, 1195, 568, 519, 1034, 11684, 19266, 622, 2262, 1031, 538, 9413, 543, 2835, 269, 590, 841, 832, 946, 621, 547, 1289, 547, 824, 9635, 267, 26250, 1142, 824, 267, 24633, 540, 8594, 267, 610, 2161, 1434, 25742, 269, 634, 6732, 661, 22029, 9218, 3081, 602, 621, 4440, 3357, 689, 968, 320, 554, 1195, 892, 513, 562, 27658, 2165, 1644, 547, 688, 30389, 563, 1692, 798, 31503, 2161, 1750, 619, 888, 312, 334, 14208, 14208, 284, 2467, 568, 1419, 1031, 547, 2769, 930, 4990, 540, 17869, 855, 849, 666, 581, 1031, 547, 1289, 3007, 547, 519, 10584, 563, 1432, 1131, 596, 1289, 513, 4775, 19266, 622, 888, 2005, 779, 2352, 547, 917, 1018, 4775, 31503, 941, 1572, 269, 3509, 24320, 2213, 2933, 607, 2367, 547, 581, 2111, 547, 3514, 883, 19266, 622, 1212, 9749, 32373, 539, 269, 21058, 31503, 941, 513, 12102, 1107, 543, 1930, 5944, 4775, 31503, 1107, 1256, 4686, 337, 269, 769, 2221, 779, 2442, 2528, 596, 666, 1265, 8100, 547, 8004, 31503, 267, 2021, 31503, 267, 1352, 1790, 29521, 543, 865, 593, 563, 1692, 798, 596, 2161, 32597, 538, 19266, 622, 888, 25105, 1195, 1107, 589, 19266, 622, 28551, 267, 610, 513, 22551, 547, 4482, 606, 3007, 269, 23985, 899, 968, 15916, 17373, 610, 968, 312, 334, 256, 9731, 1432, 568, 513, 1085, 958, 342, 698, 19266, 622, 888, 288, 1085, 958, 342, 698, 630, 528, 9470, 1177, 698, 264, 568, 606, 29405, 585, 1022, 19266, 622, 16363, 513, 968, 337, 26696, 1848, 306, 517, 540, 513, 536, 4593, 3726, 3887, 831, 568, 968, 320, 5067, 540, 1151, 3187, 610, 13743, 528, 2223, 609, 602, 536, 4593, 3726, 3887, 831, 3280, 532, 606, 1659, 995, 2603, 899, 621, 779, 13868, 513, 1071, 32242, 2262, 563, 1432, 616, 930, 19266, 622, 2161, 902, 888, 303, 597, 622, 1912, 29320, 281, 6781, 9646, 26676, 281, 1323, 1931, 547, 4734, 519, 6077, 5612, 267, 2356, 538, 519, 3068, 540, 930, 31873, 8594, 6993, 327, 1195, 281, 28982, 6993, 341, 770, 14717, 281, 589, 4971, 2495, 2628, 3007, 610, 6432, 6993, 6614, 267, 589, 6614, 281, 8786, 267, 594, 1174, 11065, 520, 1084, 13560, 519, 24051, 2583, 281, 1879, 3388, 593, 513, 6928, 568, 13615, 1524, 547, 5965, 585, 606, 16042, 7088, 21457, 3688, 2507, 1892, 20225, 476, 1240, 267, 476, 1001, 278, 454, 8005, 729, 519, 1101, 8004, 19266, 622, 888, 305, 659, 3559, 9931, 305, 659, 3559, 9931, 269, 24981, 9931, 630, 333, 19902, 5576, 28704, 264, 568, 2219, 547, 581, 519, 1101, 1977, 4775, 19266, 622, 267, 4535, 538, 12425, 538, 476, 12293, 271, 269, 1879, 1352, 729, 28465, 1352, 9310, 6723, 9931, 267, 543, 519, 6292, 4166, 6410, 547, 11785, 1141, 24981, 5249, 607, 513, 30823, 543, 6723, 607, 513, 13278, 2006, 563, 1432, 1893, 1705, 31503, 3717, 888, 7197, 31503, 12090, 689, 6628, 267, 865, 1034, 31503, 12038, 2296, 269, 634, 1866, 12038, 6140, 3943, 610, 5053, 269, 594, 4952, 972, 949, 723, 849, 1044, 21730, 610, 13677, 10529, 607, 1134, 563, 1432, 1705, 513, 19266, 622, 1413, 899, 888, 288, 6093, 623, 597, 622, 18279, 1522, 2203, 23222, 2583, 543, 513, 22765, 1723, 520, 540, 2620, 6309, 5459, 2681, 267, 3358, 689, 6063, 23439, 269, 634, 4583, 2468, 2275, 1941, 1229, 11058, 21959, 1639, 609, 519, 13692, 540, 930, 16678, 6177, 1558, 593, 513, 30152, 2951, 563, 3963, 798, 31503, 2161, 27336, 337, 888, 303, 1258, 6407, 849, 607, 968, 312, 1551, 337, 17373, 543, 968, 26855, 256, 5608, 519, 2262, 968, 6635, 31014, 17373, 568, 12926, 1767, 676, 31503, 950, 14775, 968, 13433, 892, 610, 950, 11589, 10761, 269, 2560, 3509, 540, 519, 2453, 602, 1034, 1004, 1589, 540, 607, 19266, 622, 4633, 2221, 666, 2965, 581, 14360, 1394, 547, 28402, 540, 31503, 538, 9413, 563, 3963, 798, 31503, 2161, 1744, 1853, 803, 4626, 1499, 888, 2108, 4537, 1853, 803, 4626, 1499, 892, 630, 528, 968, 3333, 1853, 1250, 4626, 1499, 892, 538, 9208, 2296, 264, 568, 606, 608, 17474, 538, 519, 1106, 540, 513, 23769, 522, 987, 2356, 11911, 547, 519, 4633, 540, 31503, 538, 1568, 540, 5708, 269, 2560, 6270, 606, 608, 17474, 729, 5921, 547, 6655, 513, 4743, 540, 4250, 543, 25713, 267, 2147, 547, 267, 968, 11039, 267, 9514, 803, 1524, 256, 5608, 610, 267, 968, 9802, 2696, 10880, 803, 9800, 543, 1134, 9731, 1432, 568, 623, 597, 622, 2296, 888, 2005, 779, 811, 513, 24983, 982, 513, 1893, 269, 898, 30283, 3044, 2296, 10525, 609, 6266, 540, 1455, 19266, 622, 7215, 543, 12332, 269, 623, 597, 622, 3717, 568, 811, 14070, 982, 10853, 267, 543, 568, 835, 540, 519, 1455, 804, 545, 1127, 596, 3580, 1265, 1851, 1022, 2186, 540, 19266, 622, 1826, 7260, 610, 1433, 563, 1432, 568, 513, 23071, 779, 7385, 1572, 888, 9827, 1634, 607, 519, 4487, 269, 2560, 6736, 2025, 22530, 1431, 602, 2348, 513, 4807, 593, 4604, 729, 3983, 9939, 267, 1082, 9378, 523, 17329, 2348, 519, 23071, 779, 7385, 20829, 282, 3006, 621, 5921, 602, 519, 9378, 523, 1131, 581, 1732, 5701, 269, 0, 1607, 2376, 5941, 519, 960, 540, 519, 589, 6369, 9796, 24054, 9730, 799, 729, 2813, 538, 476, 2735, 275, 607, 513, 10151, 1560, 543, 1287, 1500, 8628, 538, 476, 2735, 280, 269, 634, 2376, 11855, 2665, 538, 2829, 1141, 2628, 9698, 2152, 538, 8021, 1185, 1044, 13934, 543, 13180, 729, 2799, 269, 634, 4589, 11130, 602, 11018, 1239, 547, 13889, 2628, 6528, 640, 729, 942, 10438, 267, 855, 2899, 519, 1239, 1185, 1044, 6394, 2665, 941, 1454, 811, 3362, 11130, 543, 4465, 269, 634, 2376, 13615, 519, 3390, 540, 2539, 23269, 585, 2021, 547, 519, 4775, 28735, 540, 7172, 12579, 1222, 281, 834, 2026, 519, 6871, 540, 2021, 538, 519, 2361, 814, 2799, 267, 519, 23269, 723, 711, 1701, 634, 4589, 1256, 3989, 2628, 9698, 607, 834, 320, 3609, 602, 11394, 547, 9004, 3023, 543, 5198, 9186, 689, 519, 13230, 4259, 1184, 1701, 2755, 711, 4481, 4304, 519, 12339, 21442, 17130, 10414, 610, 519, 9730, 593, 519, 21073, 540, 6468, 538, 20157, 12579, 1222, 267, 971, 2516, 607, 519, 9796, 24054, 9730, 4440, 1131, 2760, 723, 2097, 883, 6228, 1510, 519, 3646, 540, 674, 307, 293, 543, 2910, 14684, 299, 563, 3528, 3967, 823, 3171, 6614, 21178, 4157, 553, 1299, 3967, 823, 31489, 1633, 609, 20152, 3733, 619, 454, 257, 13052, 25807, 296, 9970, 814, 6026, 803, 2437, 5206, 9253, 341, 559, 1546, 28838, 538, 476, 6642, 277, 267, 834, 25585, 519, 3655, 790, 560, 12820, 267, 538, 2241, 5126, 267, 2356, 2628, 2367, 811, 585, 1018, 4667, 693, 1101, 8289, 519, 1482, 960, 1701, 314, 16694, 316, 1607, 10182, 689, 513, 5399, 22082, 729, 6093, 540, 519, 476, 866, 628, 2540, 267, 513, 942, 950, 621, 729, 3144, 585, 11292, 602, 2021, 1058, 960, 585, 1447, 2724, 982, 1705, 2367, 269, 4014, 519, 476, 2641, 560, 2540, 568, 1631, 1152, 513, 1906, 1296, 2476, 267, 1346, 2324, 538, 22825, 1141, 2021, 856, 15893, 2367, 616, 1869, 2324, 585, 1447, 2724, 982, 1004, 538, 22825, 1141, 2367, 856, 15893, 2021, 563, 1103, 476, 6942, 277, 267, 2185, 856, 540, 2947, 7172, 12579, 941, 2367, 282, 2094, 827, 476, 4350, 271, 519, 9258, 5223, 814, 4371, 11931, 269, 3767, 267, 1152, 835, 7172, 4115, 538, 2947, 568, 5256, 269, 1306, 519, 6871, 540, 2021, 538, 519, 2361, 814, 2799, 267, 519, 23269, 723, 711, 282, 789, 723, 24111, 811, 7444, 982, 267, 543, 18423, 2630, 267, 23269, 538, 13380, 267, 2392, 7631, 2299, 5256, 22825, 563, 763, 1977, 7732, 5948, 814, 1279, 1044, 7255, 609, 713, 3510, 269, 769, 476, 2735, 275, 589, 6369, 12912, 513, 10151, 8189, 593, 9796, 24054, 282, 1310, 1896, 1296, 540, 4674, 513, 8628, 1560, 547, 4163, 593, 519, 960, 540, 14236, 543, 1857, 1944, 519, 3390, 540, 6528, 3386, 13180, 729, 3964, 269, 634, 1007, 8628, 1560, 568, 519, 1459, 9730, 593, 9796, 24054, 563, 763, 476, 1556, 2818, 540, 519, 9796, 24054, 9730, 267, 1312, 2021, 543, 2367, 267, 616, 9901, 609, 5009, 15287, 543, 4656, 540, 519, 2628, 9698, 3390, 538, 8021, 543, 609, 7674, 607, 606, 21141, 4199, 269, 1358, 616, 849, 547, 834, 25075, 728, 28007, 1489, 585, 2628, 9698, 25036, 2665, 5473, 5399, 4600, 1701, 314, 16694, 316, 763, 12233, 781, 2238, 1331, 513, 1433, 267, 9796, 24054, 281, 1323, 11059, 15015, 585, 7732, 20709, 676, 8349, 2106, 8230, 8014, 630, 32153, 7335, 267, 700, 297, 267, 5239, 476, 272, 267, 476, 2735, 280, 267, 533, 269, 476, 11277, 1070, 3892, 540, 3732, 2628, 9698, 3609, 1893, 267, 543, 3292, 543, 16968, 7886, 693, 1082, 19014, 563, 1432, 568, 2628, 9698, 888, 28324, 9698, 568, 3989, 538, 8230, 8014, 781, 1257, 607, 5205, 912, 28324, 9698, 568, 513, 3609, 602, 11394, 547, 9004, 3023, 543, 5198, 9186, 689, 519, 13230, 1606, 23293, 1184, 563, 763, 3804, 540, 782, 540, 713, 960, 568, 547, 12954, 1346, 2324, 538, 8021, 630, 1492, 5279, 729, 9450, 538, 476, 2735, 278, 547, 1331, 5399, 4600, 607, 1134, 607, 7172, 12579, 264, 547, 519, 991, 585, 2199, 2628, 9698, 11044, 269, 769, 519, 1184, 540, 18398, 1866, 267, 519, 12233, 2818, 723, 4121, 513, 1390, 4308, 912, 1892, 9796, 9698, 568, 24276, 282, 972, 616, 9551, 757, 267, 2665, 602, 723, 1044, 4465, 267, 547, 1397, 602, 713, 568, 865, 269, 4033, 2665, 723, 8694, 538, 14207, 855, 723, 6913, 513, 6284, 540, 519, 2628, 9698, 1523, 543, 741, 3355, 6388, 786, 1118, 621, 4443, 547, 979, 1394, 2663, 563, 1892, 1703, 616, 1896, 8810, 2409, 585, 8236, 9698, 267, 543, 891, 666, 581, 4121, 269, 634, 2409, 616, 711, 7294, 281, 538, 1249, 267, 789, 616, 2241, 267, 10257, 267, 543, 3551, 269, 1358, 616, 2356, 1759, 593, 2816, 6268, 563, 1892, 6428, 776, 7130, 4465, 1405, 979, 2476, 676, 3294, 282, 7172, 12579, 543, 1489, 5234, 267, 5399, 16984, 267, 543, 12545, 1590, 1544, 543, 2936, 11044, 547, 6318, 23269, 269, 634, 811, 945, 616, 3238, 267, 519, 811, 2500, 519, 4674, 666, 581, 563, 2005, 1568, 538, 16506, 454, 4131, 781, 2015, 2665, 540, 8021, 538, 799, 5234, 338, 723, 5833, 12581, 2628, 269, 634, 1533, 540, 16506, 2488, 835, 3730, 1383, 281, 538, 476, 2735, 271, 519, 1533, 5293, 9086, 547, 9004, 3023, 9186, 538, 1533, 5520, 262, 23269, 269, 898, 729, 5462, 538, 513, 1353, 602, 2816, 5049, 4904, 5631, 676, 2021, 941, 6976, 3648, 1447, 454, 314, 335, 269, 476, 4391, 316, 22474, 4086, 2406, 12595, 2816, 524, 328, 13293, 4904, 5631, 676, 2367, 269, 4107, 5399, 7158, 538, 1533, 2229, 941, 4904, 676, 2021, 267, 865, 7172, 12579, 543, 5399, 5234, 4607, 2628, 9698, 4679, 2059, 609, 824, 24598, 4660, 16506, 588, 1446, 5520, 563, 23804, 602, 891, 9698, 28303, 2838, 1152, 827, 2185, 2600, 540, 519, 1533, 781, 5993, 2628, 2651, 547, 2936, 267, 519, 16506, 23328, 4956, 547, 8831, 519, 4674, 269, 769, 476, 2735, 275, 267, 519, 1533, 5293, 519, 10871, 6554, 9796, 24054, 2920, 602, 2838, 782, 4872, 267, 17521, 267, 1153, 13102, 267, 3092, 1421, 547, 2932, 2816, 6268, 2090, 543, 2697, 2816, 5049, 676, 4008, 267, 1287, 3561, 31716, 543, 1544, 11941, 1141, 2556, 563, 1103, 476, 2735, 279, 267, 519, 16506, 8433, 540, 7732, 4886, 6594, 519, 1101, 476, 6858, 540, 891, 5359, 547, 1294, 875, 5399, 5520, 896, 2199, 6608, 1185, 1044, 4299, 676, 519, 957, 269, 1358, 1336, 602, 834, 325, 24580, 26730, 3990, 5399, 6009, 2066, 519, 4604, 941, 14413, 638, 2299, 9104, 730, 538, 6935, 547, 4086, 2406, 12595, 5256, 26730, 3990, 6009, 1369, 519, 1482, 16278, 2437, 609, 31716, 8151, 689, 4557, 2600, 547, 811, 982, 476, 1220, 2600, 269, 634, 1184, 540, 31925, 31716, 538, 16506, 5170, 16804, 16694, 2639, 5415, 982, 4993, 29681, 454, 1103, 519, 4993, 3557, 2160, 1062, 267, 7172, 12579, 941, 5116, 593, 519, 1482, 14057, 8430, 607, 3450, 12200, 538, 476, 2735, 275, 282, 713, 729, 6913, 454, 314, 335, 269, 476, 4343, 316, 10843, 7104, 29541, 267, 676, 1519, 7172, 12579, 538, 519, 12200, 29541, 1770, 865, 602, 789, 3838, 519, 2640, 540, 519, 12200, 4579, 563, 4913 ]

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

[ 610, 789, 1522, 581, 533, 3183, 856, 540, 519, 12775, 9475, 693, 519, 5377, 540, 519, 1494, 269, 898, 779, 942, 547, 1065, 582, 707, 2030, 952, 5072, 616, 2938, 3395, 856, 540, 519, 1494, 779, 5377, 269, 1403, 519, 5072, 616, 4847, 547, 1020, 538, 713, 6073, 267, 519, 3390, 786, 1152, 1831, 8338, 543, 949, 7654, 1291, 547, 519, 2669, 540, 519, 2030, 563, 9827, 267, 519, 3762, 540, 513, 533, 1054, 657, 2030, 602, 568, 3597, 3808, 4465, 1406, 2408, 607, 18932, 610, 2635, 607, 789, 1058, 269, 634, 3762, 1522, 581, 4130, 982, 8912, 267, 723, 513, 12779, 5835, 610, 3039, 32442, 267, 610, 723, 5835, 9634, 269, 4595, 3597, 3808, 2371, 723, 513, 9875, 942, 21716, 1216, 267, 519, 3762, 949, 849, 2408, 12015, 909, 267, 799, 568, 4749, 519, 2601, 1946, 513, 533, 1054, 657, 685, 3762, 1131, 1376, 1225, 1782, 269, 634, 3762, 540, 2371, 602, 616, 3648, 3597, 3808, 786, 849, 5555, 2887, 1055, 563, 15563, 267, 519, 4527, 540, 18655, 538, 519, 1494, 707, 533, 1054, 657, 2030, 568, 538, 568, 513, 2318, 1129, 602, 621, 814, 856, 326, 3497, 519, 8708, 269, 19663, 5072, 949, 2014, 519, 1494, 547, 695, 2660, 607, 789, 2046, 909, 1996, 519, 5011, 540, 519, 1494, 269, 901, 568, 3226, 3020, 585, 31619, 26181, 320, 610, 10036, 17428, 267, 799, 616, 811, 28221, 982, 824, 5686, 540, 17428, 269, 898, 779, 942, 547, 1065, 582, 707, 533, 1054, 657, 2030, 883, 513, 3677, 2450, 952, 596, 1294, 18015, 538, 519, 1494, 563, 4415, 782, 891, 4191, 538, 2247, 267, 519, 3070, 568, 2241, 269, 17179, 707, 533, 1054, 657, 689, 922, 1494, 267, 2312, 856, 519, 3037, 267, 2119, 547, 5094, 519, 5072, 267, 1287, 1065, 582, 519, 2030, 538, 513, 3677, 2030, 609, 1007, 267, 14927, 267, 6992, 1242, 3037, 269, 2659, 533, 1054, 657, 786, 9684, 596, 2336, 6701, 17540, 21424, 24306, 16453, 585, 623, 1054, 657, 888, 2791, 1522, 5469, 1018, 4667, 547, 581, 513, 6094, 4494, 540, 8034, 3960, 593, 519, 19666, 5072, 540, 707, 2030, 269, 1703, 1522, 711, 581, 513, 991, 585, 6161, 952, 596, 5469, 713, 8034, 3960, 269, 1879, 519, 19666, 5072, 2097, 883, 3346, 609, 1776, 2627, 267, 723, 1044, 24760, 538, 1216, 267, 610, 616, 538, 606, 1604, 609, 1360, 1164, 11195, 267, 1346, 5072, 2253, 547, 2408, 27967, 269, 901, 27967, 1570, 568, 2965, 513, 6094, 4494, 540, 2030, 968, 327, 1515, 892, 5497, 547, 5351, 519, 5072, 538, 21716, 7509, 543, 20170, 547, 1114, 7252, 269, 5457, 267, 519, 3483, 540, 19666, 5072, 568, 547, 6529, 547, 4054, 543, 7725, 538, 2470, 269, 898, 779, 9985, 3339, 269, 1717, 267, 602, 8034, 3960, 1223, 849, 5732, 581, 9044, 563, 2521, 7738, 519, 5072, 609, 513, 5848, 1957, 24621, 952, 596, 2461, 14126, 621, 1223, 581, 9044, 269, 27718, 568, 3335, 7168, 2241, 547, 4894, 269, 1403, 519, 8034, 3960, 26251, 267, 596, 2461, 1034, 2693, 1175, 7231, 609, 20027, 3597, 24827, 269, 2142, 3222, 602, 952, 9044, 568, 4362, 267, 596, 1058, 3313, 952, 519, 3037, 568, 1932, 6632, 543, 2115, 547, 581, 12015, 856, 269, 2201, 519, 11710, 610, 3762, 267, 1413, 585, 15649, 602, 616, 6960, 610, 3109, 269, 901, 666, 5815, 3597, 4232, 563, 303, 1054, 657, 2371, 616, 7168, 1970, 5826, 267, 855, 621, 568, 4105, 547, 1416, 585, 741, 5072, 952, 596, 1616, 707, 533, 1054, 657, 547, 1332, 607, 1804, 543, 4190, 607, 2009, 269, 595, 2130, 585, 519, 5072, 3884, 1406, 1932, 2352, 547, 798, 2901, 267, 607, 1279, 607, 596, 723, 930, 3063, 942, 547, 4142, 6510, 547, 741, 5826, 563, 23763, 547, 1451, 811, 827, 519, 3750, 2275, 10248, 533, 1054, 657, 2777, 8690, 286, 6744, 856, 938, 538, 3829, 3391, 547, 3388, 596, 991, 547, 917, 827, 533, 1054, 657, 2336, 5415, 689, 589, 19053, 12292, 454, 763, 3171, 25733, 12005, 454, 11902, 17988, 630, 21761, 18542, 5999, 994, 1692, 547, 533, 1054, 657, 5072, 1332, 888, 303, 1054, 657, 5072, 1332, 689, 9136, 4092, 3330, 540, 519, 6565, 269, 5221, 540, 713, 267, 1346, 9136, 991, 547, 581, 12617, 2620, 2614, 538, 3037, 585, 513, 2635, 533, 1054, 657, 547, 1332, 563, 2710, 533, 1054, 657, 2371, 899, 547, 581, 3597, 20129, 888, 303, 1054, 657, 666, 20496, 1373, 5594, 3597, 20129, 267, 855, 789, 798, 4782, 513, 3787, 540, 2230, 538, 513, 3677, 1494, 563, 1432, 1058, 594, 798, 609, 519, 19666, 5072, 593, 1250, 533, 1054, 657, 888, 2791, 666, 29608, 707, 533, 1054, 657, 676, 5969, 519, 6565, 2630, 519, 19666, 3597, 543, 11093, 621, 538, 1216, 563, 14188, 596, 585, 2542, 256, 5620, 930, 5955, 585, 721, 286, 13555, 519, 589, 313, 12292, 21107, 2319, 269, 0, 2750, 4897, 568, 851, 540, 9786, 5604, 602, 568, 9053, 676, 519, 1004, 945, 960, 593, 17890, 1239, 538, 1106, 540, 1257, 543, 2338, 269, 898, 568, 513, 1360, 3730, 3301, 547, 4383, 1239, 538, 519, 14724, 1106, 899, 8051, 267, 7194, 267, 1239, 2079, 267, 3092, 269, 898, 814, 1082, 2645, 543, 2934, 602, 1118, 519, 1239, 538, 519, 1459, 762, 1106, 543, 835, 666, 3533, 1205, 519, 2838, 1344, 676, 1210, 519, 22369, 1982, 540, 9185, 563, 10743, 723, 547, 4308, 609, 1950, 10467, 538, 9049, 9185, 1282, 741, 1565, 1974, 269, 1452, 10467, 616, 25471, 585, 873, 269, 3509, 1053, 616, 711, 2111, 547, 4308, 609, 519, 14133, 7084, 610, 4383, 5458, 5666, 540, 1239, 1813, 547, 513, 3668, 540, 1620, 269, 1358, 16926, 4966, 689, 14133, 7084, 948, 547, 4194, 519, 1966, 543, 6582, 1239, 538, 513, 9266, 3898, 269, 898, 3947, 1053, 513, 2312, 1620, 540, 519, 1523, 540, 519, 1641, 543, 513, 4960, 547, 2087, 741, 2773, 563, 29619, 540, 9185, 17943, 454, 2750, 4897, 568, 513, 22369, 1982, 602, 3947, 519, 9744, 547, 519, 3755, 547, 4383, 741, 1804, 2179, 540, 1239, 543, 1349, 6209, 1344, 269, 634, 1239, 538, 519, 3262, 666, 4558, 538, 2281, 799, 568, 519, 10167, 851, 540, 9343, 543, 9587, 269, 1703, 616, 1114, 9238, 3238, 538, 14133, 9212, 602, 948, 547, 10891, 1344, 610, 1239, 538, 513, 1697, 6073, 563, 1103, 14133, 782, 960, 568, 2944, 593, 519, 22369, 269, 19737, 519, 4976, 568, 2653, 269, 1411, 666, 3362, 556, 4067, 519, 6656, 267, 1847, 5299, 267, 18419, 610, 1039, 519, 1039, 9212, 538, 14133, 269, 589, 3758, 538, 14133, 2882, 1614, 3211, 676, 9949, 855, 596, 666, 1039, 610, 18419, 9212, 2687, 547, 707, 10421, 563, 13043, 543, 18926, 4813, 10358, 454, 2750, 4897, 568, 10416, 1031, 585, 12719, 1239, 538, 8051, 543, 8579, 4610, 269, 1280, 713, 3483, 267, 14133, 2882, 1082, 1106, 27909, 543, 3252, 899, 1293, 1599, 267, 1293, 10145, 267, 3328, 1599, 267, 543, 6310, 1599, 602, 1331, 1840, 267, 12408, 267, 6498, 267, 8691, 267, 3092, 269, 898, 2337, 519, 3593, 547, 4194, 6310, 2042, 269, 1677, 917, 519, 6310, 2035, 538, 1469, 1491, 10803, 7084, 948, 689, 3318, 4966, 563, 2419, 11301, 543, 29093, 454, 6624, 8579, 543, 6310, 2042, 616, 1759, 593, 513, 1804, 2179, 540, 1239, 269, 9185, 2337, 547, 1397, 1239, 538, 1106, 540, 11708, 543, 12125, 269, 634, 5750, 3947, 513, 2312, 1620, 540, 519, 1239, 547, 519, 5784, 269, 1411, 666, 2721, 1114, 2010, 540, 12125, 899, 2650, 12125, 267, 1899, 12125, 267, 543, 14649, 12125, 538, 14133, 563, 31572, 513, 1804, 2179, 540, 1239, 568, 711, 606, 2653, 4305, 269, 898, 3587, 2653, 547, 4383, 971, 5686, 540, 1239, 538, 14133, 9212, 269, 1411, 666, 4558, 519, 1239, 538, 835, 610, 2789, 9212, 543, 666, 4019, 1114, 3252, 543, 1106, 27909, 547, 5173, 1239, 543, 1265, 513, 1267, 269, 2368, 2934, 899, 12086, 543, 22141, 7515, 1118, 1239, 2359, 4443, 585, 519, 3593, 563, 2467, 723, 865, 1082, 2934, 547, 7421, 1239, 543, 4466, 6209, 1344, 1310, 9273, 269, 5192, 14133, 7084, 948, 689, 4966, 547, 5659, 519, 1239, 563, 7476, 9185, 12143, 6435, 689, 20226, 454, 2005, 568, 1360, 2352, 547, 4383, 1804, 1239, 543, 5173, 873, 547, 1265, 519, 5078, 1267, 269, 634, 2533, 2709, 6351, 547, 519, 1053, 602, 948, 873, 547, 4308, 609, 519, 1239, 543, 4383, 621, 3362, 269, 9185, 7084, 948, 2533, 723, 513, 2319, 540, 3318, 5830, 945, 917, 14133, 3252, 543, 2934, 14013, 269, 1358, 666, 1683, 9985, 6896, 1239, 538, 606, 14133, 6656, 269, 1358, 666, 3362, 1349, 1344, 689, 519, 6656, 269, 634, 5830, 723, 519, 6791, 547, 8908, 513, 17096, 6954, 7084, 269, 1358, 666, 1683, 589, 266, 2298, 10467, 543, 476, 2190, 16923, 6075, 1489, 547, 519, 1053, 269, 898, 2337, 873, 547, 6060, 1434, 9344, 538, 741, 14133, 7084, 563, 3528, 3478, 14133, 7084, 948, 689, 4966, 596, 666, 3986, 707, 1620, 540, 519, 2596, 2035, 602, 948, 596, 547, 4383, 1239, 3362, 269, 0, 1432, 798, 519, 15602, 267, 14586, 267, 1004, 609, 7486, 267, 543, 6634, 540, 4816, 1630, 12002, 723, 538, 1455, 286, 1358, 2461, 782, 11630, 547, 17537, 595, 3644, 630, 18449, 309, 1916, 6546, 779, 2687, 547, 12884, 10938, 6048, 19279, 4437, 267, 945, 814, 13736, 693, 18171, 601, 8316, 9469, 17341, 11233, 585, 519, 2063, 2947, 1296, 269, 4437, 6045, 602, 476, 2568, 13807, 639, 2929, 10172, 4816, 1630, 12002, 616, 693, 519, 5207, 1981, 538, 1010, 1867, 693, 519, 4989, 476, 1839, 8274, 540, 6034, 832, 5870, 563, 18449, 309, 3968, 543, 2126, 568, 513, 3905, 1888, 538, 4915, 267, 4437, 1767, 267, 1317, 621, 814, 1831, 865, 7839, 267, 609, 811, 982, 476, 3199, 2929, 1004, 2348, 26438, 621, 269, 1703, 568, 1100, 6669, 2139, 547, 2061, 621, 267, 543, 621, 568, 519, 3056, 2014, 540, 6797, 5821, 543, 6797, 2860, 538, 519, 2136, 2276, 269, 1703, 616, 5711, 6527, 585, 2126, 2899, 2576, 814, 519, 3968, 563, 293, 1168, 518, 982, 3368, 540, 1346, 609, 670, 20302, 616, 8995, 1317, 972, 616, 1906, 2589, 1354, 621, 3587, 5312, 267, 4437, 1767, 563, 29467, 779, 4986, 547, 1413, 585, 2223, 646, 1767, 267, 968, 663, 596, 1152, 1265, 621, 952, 596, 798, 3573, 1973, 4255, 269, 901, 568, 606, 3968, 602, 779, 896, 10972, 30938, 543, 568, 513, 1857, 1072, 3390, 3034, 3891, 1767, 5574, 1031, 547, 2063, 689, 3670, 3275, 547, 513, 1032, 267, 609, 10826, 3928, 267, 610, 13455, 19274, 6331, 545, 3210, 630, 306, 23623, 264, 3928, 267, 3335, 1472, 476, 2412, 260, 547, 476, 2004, 260, 585, 519, 1034, 1455, 1826, 540, 670, 20302, 269, 1809, 538, 519, 2063, 2947, 1296, 267, 972, 814, 1044, 513, 13414, 538, 8156, 670, 20302, 267, 4437, 1767, 563, 14071, 4867, 723, 1896, 1134, 2389, 11217, 730, 267, 5711, 10788, 5574, 585, 519, 646, 335, 595, 3644, 609, 10826, 3928, 2673, 547, 476, 1911, 9077, 585, 2550, 945, 1491, 873, 585, 607, 2370, 607, 5216, 4374, 2223, 646, 1767, 269, 968, 17829, 5574, 616, 4922, 4988, 676, 6142, 267, 2436, 621, 779, 513, 5010, 1544, 267, 2405, 328, 4211, 531, 610, 24310, 3034, 3891, 1767, 519, 15544, 585, 8376, 6513, 5462, 602, 782, 4816, 1630, 12002, 1765, 15161, 4535, 1063, 476, 3707, 277, 543, 476, 3422, 275, 1765, 29019, 581, 29971, 585, 670, 20302, 1317, 476, 4037, 260, 540, 670, 20302, 2550, 616, 4816, 1630, 12002, 269, 634, 2601, 1004, 4535, 538, 602, 2053, 3966, 723, 1164, 3928, 540, 22031, 595, 568, 711, 4625, 6956, 267, 2687, 547, 519, 15509, 269, 4107, 616, 5156, 547, 723, 1831, 7783, 538, 519, 476, 3422, 271, 338, 998, 519, 476, 2735, 271, 338, 950, 6771, 540, 670, 20302, 729, 5207, 269, 6969, 7839, 9584, 540, 519, 1973, 3761, 3459, 538, 476, 1960, 273, 267, 670, 20302, 729, 3262, 998, 1973, 13816, 16272, 543, 1418, 1098, 17852, 563, 2108, 6546, 568, 4098, 547, 6521, 1317, 540, 10001, 3075, 946, 936, 519, 2063, 8717, 610, 865, 2223, 4437, 1767, 269, 968, 8170, 519, 1007, 17537, 595, 5563, 267, 827, 476, 3199, 260, 2049, 1851, 2550, 945, 22280, 5061, 3034, 3891, 1767, 621, 3085, 1406, 2339, 519, 17539, 540, 519, 2146, 267, 2436, 2749, 610, 6917, 267, 621, 568, 513, 1455, 3968, 563, 17606, 779, 711, 2469, 2476, 2223, 646, 1767, 269, 968, 2171, 3580, 4440, 1294, 621, 811, 543, 811, 538, 938, 6413, 4259, 267, 607, 1134, 269, 634, 8984, 827, 646, 335, 595, 602, 2306, 621, 2731, 7282, 568, 602, 476, 4037, 260, 547, 476, 5952 ]

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

[ 296, 27138, 936, 26061, 10637, 563, 347, 14630, 540, 5137, 10573, 11321, 476, 1220, 275, 2008, 347, 23086, 3877, 540, 8502, 10573, 5403, 531, 281, 476, 8064, 808, 293, 298, 9335, 267, 11062, 267, 10790, 476, 28512, 4343, 2008, 16158, 2985, 281, 5291, 2517, 4178, 269, 802, 326, 269, 9618, 10542, 12975, 22812, 14142, 270, 11529, 7272, 3639, 27651, 21867, 454, 5415, 1344, 998, 11581, 7644, 290, 454, 27066, 7396, 593, 9517, 292, 3008, 454, 8923, 1867, 11239, 610, 4704, 6959, 547, 2073, 610, 2073, 952, 596, 616, 519, 10805, 2278, 540, 519, 11855, 960, 267, 2845, 538, 547, 707, 1234, 14154, 322, 8191, 6796, 9043, 267, 4945, 593, 834, 322, 14591, 257, 543, 1118, 3617, 11941, 269, 912, 268, 6424, 631, 269, 12338, 2401, 1299, 4460, 15966, 548, 961, 534, 1299, 9478, 623, 269, 1715, 5264, 1299, 667, 1695, 20377, 3816, 2401, 267, 476, 1960, 277, 269, 834, 6701, 6481, 31245, 13207, 1456, 286, 2437, 715, 21612, 11554, 14430, 476, 276, 4037, 271, 267, 2817, 13163, 540, 9483, 3194, 267, 5549, 563, 268, 19626, 661, 269, 2904, 518, 1299, 18332, 23514, 4242, 267, 476, 2735, 280, 269, 834, 303, 20191, 543, 519, 17392, 540, 7698, 670, 13734, 2437, 4750, 540, 5274, 8249, 267, 2160, 540, 16855, 4964, 267, 2019, 269, 476, 2190, 263, 272, 1070, 3817, 476, 6434, 268, 14625, 563, 2691, 31392, 513, 15494, 267, 5225, 2446, 713, 6221, 781, 6023, 281, 1234, 14154, 322, 281, 324, 743, 281, 9618, 329, 325, 330, 281, 337, 342, 335, 6860, 268, 30203, 269, 6423, 2489, 1344, 827, 875, 547, 2953, 1570, 538, 1234, 14154, 322, 563, 2690, 2930, 2055, 3823, 713, 6221, 267, 610, 547, 2953, 922, 4589, 267, 2140, 267, 7493, 267, 12190, 4919, 610, 4647, 1344, 267, 3346, 281, 630, 994, 2252, 596, 723, 30363, 713, 6221, 543, 616, 711, 2943, 10805, 609, 1234, 14154, 322, 267, 649, 5000, 596, 547, 798, 621, 1934, 269, 901, 2636, 547, 3095, 707, 9043, 547, 713, 6221, 269, 898, 849, 2636, 596, 547, 3398, 1761, 14327, 547, 713, 6221, 602, 649, 616, 7334, 827, 563, 2252, 8100, 616, 7357, 7508, 267, 596, 666, 1039, 873, 1210, 713, 1106, 563, 2252, 519, 2407, 8100, 1592, 606, 6221, 602, 568, 1459, 538, 1234, 14154, 322, 267, 855, 519, 1062, 1705, 711, 3095, 547, 621, 267, 596, 666, 948, 609, 713, 1106, 563, 2252, 596, 917, 540, 7508, 3688, 19696, 713, 835, 267, 596, 666, 948, 721, 2870, 1346, 6402, 676, 4946, 519, 4143, 8100, 538, 519, 1482, 1259, 607, 1657, 267, 585, 1142, 1201, 1359, 6221, 269, 1403, 596, 616, 513, 10805, 2278, 540, 713, 6221, 267, 596, 949, 849, 1616, 547, 2638, 519, 834, 322, 14591, 257, 9184, 538, 707, 9043, 267, 607, 972, 949, 581, 930, 14327, 7996, 585, 21533, 563, 8923, 4063, 602, 28303, 949, 1491, 513, 7008, 540, 4374, 547, 6882, 998, 519, 1585, 1234, 14154, 322, 2533, 269, 0, 257, 31549, 1044, 513, 12468, 11232, 865, 1082, 2053, 30882, 268, 21965, 681, 2086, 749, 267, 2875, 7711, 2160, 540, 6115, 454, 257, 2750, 18075, 519, 948, 594, 2877, 4799, 268, 26391, 8316, 525, 267, 2875, 7711, 5842, 8277, 3557, 454, 10454, 1655, 1747, 585, 23730, 2093, 4799, 268, 7812, 20727, 577, 992, 545, 345, 267, 2875, 7711, 2160, 540, 17996, 454, 306, 517, 6339, 476, 1015, 267, 676, 3627, 5213, 928, 454, 763, 1101, 588, 24521, 568, 6031, 602, 2669, 568, 711, 10583, 1256, 1498, 930, 1004, 1289, 621, 602, 269, 1261, 1281, 711, 1589, 602, 2669, 568, 513, 10583, 3364, 269, 769, 519, 1985, 588, 24521, 646, 568, 3081, 602, 2669, 568, 9444, 22800, 6862, 23487, 995, 269, 1261, 849, 3081, 602, 1004, 945, 1589, 602, 2669, 568, 1945, 547, 2909, 326, 827, 616, 737, 27570, 2933, 269, 15526, 1590, 3068, 621, 865, 1946, 1058, 621, 581, 2938, 607, 1945, 547, 1350, 13331, 827, 610, 1945, 602, 568, 23487, 995, 269, 15526, 1590, 3068, 621, 267, 2669, 568, 711, 1945, 602, 568, 5641, 2390, 1225, 1555, 1004, 269, 769, 519, 3791, 588, 24521, 646, 3081, 602, 950, 649, 5884, 267, 649, 786, 4309, 513, 1732, 3207, 982, 649, 798, 1631, 269, 12280, 666, 1406, 6146, 596, 1317, 596, 616, 1869, 9800, 538, 6891, 269, 634, 8521, 588, 24521, 3081, 602, 1256, 519, 1655, 540, 2367, 786, 581, 3144, 676, 2669, 269, 4256, 7633, 616, 2451, 547, 519, 3618, 543, 741, 20339, 616, 3144, 11992, 269, 1284, 616, 10437, 547, 2669, 1317, 3025, 786, 5884, 269, 634, 11359, 588, 24521, 3081, 602, 972, 616, 1919, 602, 2014, 2669, 602, 1100, 1480, 666, 1852, 610, 3247, 269, 2782, 267, 19210, 267, 543, 8914, 616, 1175, 513, 1906, 269, 769, 519, 15795, 588, 24521, 646, 3081, 1946, 1058, 1004, 1350, 13331, 827, 2669, 952, 917, 812, 814, 1852, 936, 2669, 286, 4208, 1058, 596, 723, 11348, 827, 2669, 286, 769, 519, 3803, 588, 24521, 646, 3081, 602, 938, 2729, 616, 855, 513, 2110, 3207, 3379, 547, 519, 18163, 2661, 649, 723, 1310, 649, 32570, 689, 602, 3207, 269, 4495, 649, 5884, 519, 9997, 568, 9800, 543, 2669, 1100, 3476, 1095, 1938, 269, 1284, 616, 4547, 883, 18163, 1272, 269, 12280, 666, 1100, 3476, 1491, 721, 1317, 621, 2907, 814, 563, 8469, 2787, 476, 1704, 267, 676, 3627, 5213, 928, 454, 763, 8574, 602, 594, 8359, 602, 1655, 9727, 519, 6249, 568, 267, 968, 5591, 812, 568, 606, 6532, 267, 3003, 540, 3294, 282, 1169, 812, 568, 513, 4062, 540, 519, 11782, 267, 513, 851, 540, 519, 1292, 1848, 901, 8574, 3081, 602, 1100, 835, 568, 676, 2933, 538, 713, 1158, 972, 616, 2141, 1004, 543, 14326, 972, 547, 948, 543, 3391, 721, 269, 1284, 616, 711, 11207, 4805, 282, 649, 616, 851, 540, 519, 1480, 5198, 602, 729, 2813, 676, 2696, 269, 901, 14405, 519, 2898, 6648, 1927, 1317, 621, 14550, 602, 2696, 7125, 547, 782, 540, 721, 1317, 649, 616, 782, 1010, 13144, 267, 782, 2813, 3160, 269, 1879, 646, 17167, 338, 1010, 11350, 267, 646, 939, 330, 976, 585, 782, 547, 10847, 1864, 1317, 646, 568, 3025, 779, 620, 332, 26663, 4651, 269, 594, 8359, 713, 8574, 1317, 621, 18304, 909, 519, 2898, 6648, 538, 6031, 602, 1100, 812, 568, 4805, 1317, 3025, 568, 3808, 1927, 676, 513, 1455, 17082, 269, 15526, 568, 851, 540, 519, 2462, 11782, 1317, 649, 616, 782, 2696, 779, 1453, 563, 8698, 9509, 4828, 454, 11990, 5213, 928, 267, 12312, 6339, 267, 634, 6153, 5336, 6563, 454, 5415, 5131, 10749, 6145, 901 ]

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

[ 6021, 270, 1015, 1916, 763, 1353, 814, 1044, 9516, 676, 519, 5507, 631, 3918, 290, 630, 13231, 344, 1201, 476, 6021, 26260, 5881, 273, 272, 270, 5325, 994, 9515, 9346, 808, 541, 6665, 267, 13495, 880, 667, 7315, 329, 531, 267, 9400, 18582, 2125, 267, 21965, 5261, 5459, 454, 3412, 704, 658, 5441, 16195, 23244, 11565, 267, 10348, 4077, 331, 2714, 525, 543, 595, 3559, 22855, 11233, 454, 12606, 519, 4578, 14635, 4813, 630, 17584, 293, 994, 20084, 5308, 306, 589, 20294, 2598, 7611, 270, 11514, 4167, 532, 589, 20294, 589, 928, 584, 903, 332, 4813, 454, 268, 9745, 4762, 7808, 2037, 11431, 883, 631, 11189, 543, 4132, 2657, 630, 4753, 300, 21815, 264, 5177, 5291, 2517, 4178, 269, 576, 332, 778, 3820, 16896, 563, 268, 9745, 15576, 345, 28679, 267, 30793, 320, 808, 309, 267, 5651, 2632, 631, 294, 267, 5839, 298, 20044, 773, 28251, 267, 28615, 681, 289, 630, 2735, 275, 264, 589, 20294, 771, 7611, 563, 268, 513, 267, 536, 11066, 590, 267, 27550, 1457, 594, 267, 10753, 767, 331, 11083, 630, 1220, 276, 1040, 3131, 760, 691, 636, 6881, 540, 606, 8650, 513, 20294, 771, 7611, 11065, 337, 808, 27118, 525, 628, 5919, 11463, 263, 275, 2567, 5392, 277, 268, 280, 563, 268, 513, 267, 536, 654, 1695, 6840, 570, 267, 5487, 553, 808, 267, 1325, 5287, 589, 267, 16907, 560, 670, 294, 630, 1960, 275, 1040, 29766, 540, 8650, 1826, 589, 513, 20294, 771, 7611, 1310, 524, 525, 732, 534, 3296, 538, 519, 13977, 5991, 12764, 3018, 540, 6379, 269, 808, 18897, 659, 9315, 328, 990, 2444, 13880, 269, 476, 13040, 263, 272, 2567, 27183, 268, 276, 563, 268, 9745, 631, 15530, 345, 5451, 4592, 594, 267, 631, 6759, 10635, 345, 808, 267, 590, 345, 331, 5451, 12858, 808, 267, 5576, 28704, 808, 267, 570, 1941, 6759, 857, 700, 267, 18491, 344, 700, 267, 590, 345, 2946, 335, 700, 630, 1220, 271, 1040, 25731, 5735, 543, 16758, 31752, 540, 513, 20294, 771, 7611, 269, 30446, 5919, 14056, 263, 276, 2567, 14338, 272, 268, 274, 269 ]

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

[ 6820, 654, 9879, 0, 24876, 1614, 1806, 540, 2168, 543, 3114, 17694, 1142, 269, 3557, 875, 891, 17694, 1205, 883, 938, 1426, 543, 1018, 15324, 3800, 649, 666, 2936, 547, 2057, 891, 17694, 563, 1432, 568, 1164, 1981, 3536, 543, 1946, 568, 621, 2653, 547, 2014, 1426, 28703, 4576, 286, 1432, 649, 991, 547, 798, 2061, 1426, 25645, 4576, 543, 875, 621, 666, 581, 6417, 888, 268, 18422, 299, 341, 476, 7906, 13127, 491, 479, 23946, 368, 31176, 491, 31006, 418, 482, 505, 25335, 352, 419, 511, 498, 454, 272, 269, 22458, 269, 22458, 666, 1205, 883, 1426, 1587, 3362, 952, 1022, 9441, 945, 814, 3346, 609, 519, 1587, 1568, 1510, 513, 4552, 6339, 269, 1677, 2061, 602, 689, 8345, 267, 782, 9441, 723, 547, 5957, 4552, 6339, 630, 261, 581, 731, 6339, 952, 2348, 581, 731, 1916, 273, 269, 19371, 269, 1403, 11183, 2326, 1331, 4837, 267, 7745, 14296, 666, 1205, 883, 3803, 2472, 269, 1677, 2061, 602, 689, 8345, 267, 3549, 1058, 5094, 4837, 11183, 1899, 689, 824, 11183, 3515, 267, 723, 1852, 2798, 547, 2327, 11149, 616, 1863, 540, 4837, 13365, 543, 723, 513, 7745, 4837, 1982, 563, 274, 269, 4035, 601, 787, 269, 4035, 601, 787, 666, 849, 1205, 883, 2472, 952, 9441, 945, 31273, 14446, 547, 960, 693, 2504, 3515, 269, 1677, 2061, 602, 689, 8345, 267, 14446, 1058, 581, 3144, 1055, 1354, 2324, 693, 2504, 3515, 630, 604, 814, 547, 5957, 16806, 6512, 267, 519, 6512, 814, 547, 581, 10750, 264, 543, 17309, 723, 547, 581, 12816, 563, 272, 269, 9061, 12526, 269, 1403, 6191, 9706, 3174, 1899, 568, 711, 1373, 2973, 2614, 267, 21187, 899, 14298, 273, 267, 9049, 294, 1299, 1978, 2010, 540, 11254, 7408, 1522, 1205, 883, 2472, 799, 9268, 693, 519, 1482, 2504, 1899, 540, 602, 1058, 2270, 1100, 971, 6464, 269, 16473, 633, 6482, 281, 1246, 717, 6573, 267, 2973, 6191, 9706, 3174, 1899, 1134, 543, 1685, 4255, 547, 1118, 2386, 1100, 21225, 2451, 936, 563, 273, 269, 623, 4382, 1938, 269, 21277, 806, 1373, 10936, 539, 676, 13851, 1522, 581, 13603, 1354, 8430, 610, 711, 2973, 1134, 2614, 269, 16473, 633, 6482, 281, 1586, 267, 1246, 717, 6573, 270, 2675, 7359, 267, 2973, 7472, 1134, 543, 849, 4255, 585, 13851, 262, 4527, 563, 274, 269, 1677, 343, 514, 538, 1426, 269, 1280, 1383, 267, 524, 580, 340, 520, 28845, 538, 3165, 269, 16473, 633, 6482, 281, 1118, 2386, 3478, 6151, 544, 831, 5661, 689, 18019, 21527, 543, 547, 1685, 1644, 4255, 547, 2312, 547, 6151, 2326, 1354, 1031, 563, 11947, 1981, 3536, 616, 2356, 519, 835, 1373, 6023, 676, 1688, 513, 2603, 269, 2334, 1259, 267, 972, 1131, 581, 513, 2603, 540, 8458, 585, 3444, 733, 2727, 1588, 547, 1491, 1747, 269, 5253, 1688, 6840, 1058, 917, 543, 1174, 741, 717, 6573, 3609, 543, 581, 1434, 693, 741, 2123, 9882, 269, 14146, 619, 1058, 849, 1683, 2866, 547, 5520, 547, 1714, 822, 622, 5520, 1702, 593, 519, 3390, 563, 268, 476, 272, 13127, 491, 479, 23946, 368, 31176, 491, 454, 2467, 616, 1614, 6305, 2959, 540, 4914, 4703, 3863, 2326, 454, 15263, 2030, 630, 528, 1426, 7041, 1858, 8358, 3225, 3612, 543, 5656, 454, 15161, 1547, 7093, 3685, 568, 2141, 1732, 982, 7020, 269, 634, 6240, 540, 6604, 568, 602, 519, 4027, 540, 1426, 1996, 519, 10014, 540, 4914, 4703, 3340, 1761, 2959, 547, 581, 4857, 543, 12290, 585, 519, 2010, 540, 4914, 4703, 2404, 609, 873, 543, 741, 5232, 540, 3978, 1145, 269, 30785, 15324, 2409, 971, 607, 519, 7333, 940, 540, 4837, 11149, 267, 946, 540, 31978, 545, 4238, 267, 1434, 2777, 15209, 267, 2834, 24422, 267, 10986, 2866, 616, 24482, 4294, 693, 1585, 0, 2690, 1383, 267, 513, 1614, 4458, 6040, 7911, 945, 18953, 1010, 1024, 8558, 1896, 3108, 513, 1554, 543, 3112, 1445, 593, 824, 4247, 568, 18071, 513, 29708, 2623, 609, 9402, 18094, 543, 4908, 563, 1103, 1840, 267, 519, 5615, 602, 616, 519, 2547, 1455, 1851, 519, 1592, 540, 29708, 4638, 5615, 949, 2154, 811, 3573, 4879, 547, 1118, 2386, 972, 568, 1100, 5817, 4638, 2623, 1966, 563, 24357, 5974, 666, 581, 3407, 2200, 585, 3237, 676, 3246, 9027, 2218, 5583, 827, 1455, 4638, 5615, 538, 1453, 267, 543, 676, 1114, 11868, 2085, 29003, 29708, 4638, 5615, 689, 4638, 2623, 2042, 563, 10048, 1771, 2994, 1058, 1445, 593, 3617, 15366, 3210, 547, 519, 5615, 267, 2500, 30411, 689, 519, 5615, 538, 1514, 5468, 267, 17265, 23053, 585, 2417, 4879, 267, 3277, 23552, 585, 13508, 952, 519, 2623, 26251, 267, 543, 8989, 547, 1126, 8825, 2533, 610, 1876, 11268, 8041, 630, 514, 13076, 609, 1533, 4031, 264, 950, 6057, 568, 16143, 269, 277, 15703, 2474, 723, 1044, 1031, 547, 4766, 4638, 5615, 538, 1453, 563, 19284, 824, 7270, 4095, 15258, 13519, 338, 29864, 2593, 267, 814, 519, 4102, 4015, 540, 4095, 4342, 6690, 602, 4896, 666, 2972, 563, 29189, 783, 2623, 2042, 616, 3989, 607, 1646, 958, 20025, 610, 703, 28424, 4638, 6411, 602, 3335, 4125, 28170, 542, 610, 11605, 563, 4322, 824, 5615, 11604, 3339, 26447, 1646, 543, 519, 6932, 2956, 540, 9263, 3347, 563, 29189, 783, 2623, 666, 581, 22072, 610, 4125, 824, 7606, 267, 543, 949, 610, 949, 711, 4125, 4638, 3346, 476, 279, 5753, 798, 711, 8209, 4497, 538, 4638, 5615, 585, 4638, 11815, 2305, 282, 7279, 267, 32649, 540, 4767, 4638, 5615, 267, 3007, 5498, 22701, 267, 543, 1582, 27940, 5847, 616, 824, 4128, 1453, 949, 13789, 16770, 269, 278, 1556, 769, 2489, 267, 4638, 5615, 602, 616, 22072, 630, 324, 3052, 1421, 15700, 835, 781, 1378, 1024, 8558, 264, 610, 602, 798, 711, 4125, 3346, 630, 324, 3052, 1421, 3843, 547, 2070, 1776, 1268, 781, 1024, 8558, 610, 28244, 264, 616, 1455, 543, 4749, 4767, 269, 279, 5871, 267, 2085, 29003, 4638, 2623, 666, 1831, 513, 4638, 2623, 1966, 952, 621, 568, 26688, 610, 28170, 633, 563, 23173, 4609, 616, 4742, 811, 543, 811, 2442, 1851, 519, 2489, 2551, 267, 602, 568, 1946, 568, 3395, 563, 2252, 596, 616, 606, 4095, 8004, 267, 543, 596, 1616, 547, 7119, 538, 606, 4095, 2661, 10004, 267, 1287, 2119, 0, 4002, 11205, 267, 3057, 476, 276, 267, 476, 1001, 275, 267, 693, 476, 278, 281, 1789, 267, 30546, 18148, 5206, 912, 1103, 595, 543, 930, 824, 4654, 519, 535, 21879, 6920, 513, 25948, 21055, 602, 814, 1826, 834, 15615, 257, 552, 3052, 269, 834, 277, 269, 271, 325, 2668, 1411, 666, 946, 5580, 2013, 972, 607, 1134, 855, 519, 15007, 568, 2539, 2013, 543, 547, 1331, 519, 1547, 271, 950, 621, 781, 606, 8870, 269, 594, 1175, 1498, 602, 476, 274, 293, 5654, 18481, 3982, 689, 519, 1259, 621, 781, 3335, 2944, 538, 595, 563, 1692, 827, 476, 274, 337, 888, 4002, 519, 1641, 540, 21879, 525, 267, 621, 1522, 581, 4502, 6236, 602, 789, 1419, 946, 834, 323, 257, 585, 834, 29602, 257, 607, 1134, 269, 595, 258, 3096, 834, 332, 257, 630, 1721, 2724, 264, 585, 8918, 269 ]

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

[ 16526, 538, 835, 4756, 543, 946, 873, 547, 4194, 2042, 269, 4530, 5623, 4888, 14684, 2207, 26395, 312, 269, 21929, 24306, 14497, 269, 476, 273, 5564, 28745, 1299, 29435, 532, 21929, 25285, 7689, 476, 275, 269, 5450, 7469, 848, 476, 273, 269, 2422, 1806, 689, 7844, 476, 272, 547, 1489, 707, 2626, 269, 476, 876, 286, 21718, 476, 280, 269, 3962, 3135, 7472, 519, 1482, 7082, 1587, 267, 855, 1142, 814, 513, 1114, 1305, 540, 5383, 543, 11393, 269, 476, 279, 634, 27284, 14497, 540, 10789, 476, 277, 269, 634, 1599, 2760, 269, 476, 273, 21929, 5890, 7859, 476, 272, 269, 2160, 540, 4826, 31846, 595, 4932, 290, 6092, 2264, 585, 631, 295, 293, 275, 308, 1299, 14330, 309, 275, 308, 269, 2776, 4211, 531, 1529, 639, 12968, 832, 269, 2201, 713, 2985, 596, 786, 1265, 281, 513, 2347, 1592, 540, 782, 540, 938, 2979, 3211, 11341, 547, 2776, 20412, 639, 269, 476, 273, 28977, 540, 21929, 12793, 13723, 910, 5239, 476, 1704, 281, 476, 274, 269, 476, 275, 3487, 476, 272, 2433, 14572, 26344, 6248, 12307, 27116, 476, 276, 269, 6657, 6096, 1452, 3211, 941, 2813, 676, 16962, 6019, 4400, 3427, 6128, 3610, 12448, 589, 19520, 267, 9291, 1546, 299, 9926, 1512, 267, 1855, 25564, 15284, 267, 543, 19626, 853, 10719, 267, 607, 851, 540, 519, 16962, 6019, 12140, 262, 25674, 15099, 5741, 269, 476, 277, 21929, 12793, 269, 570, 976, 540, 5131, 4569, 269, 1863, 4976, 7824, 543, 2626, 1883, 593, 533, 2716, 2338, 476, 3393, 2243, 1439, 540, 1770, 2689, 6656, 593, 4946, 18946, 15273, 527, 335, 2391, 12270, 543, 14458, 533, 2716, 543, 16494, 2338, 26549, 7223, 476, 273, 4238, 609, 533, 2716, 2338, 2689, 476, 273, 4976, 676, 737, 25917, 3301, 26270, 322, 476, 866, 476, 273, 328, 2340, 24844, 476, 273, 328, 476, 277, 6567, 476, 277, 328, 476, 736, 476, 278, 6567, 476, 276, 328, 476, 273, 4267, 547, 4238, 609, 533, 2716, 2338, 2689, 7329, 476, 272, 476, 272, 269, 476, 272, 9534, 543, 12793, 9534, 5890, 5962, 607, 18103, 1229, 623, 4202, 14419, 952, 519, 1739, 1894, 616, 3252, 269, 6452, 584, 2299, 2347, 476, 277, 2042, 538, 1142, 9074, 585, 5149, 476, 275, 290, 4530, 3487, 476, 272, 547, 7118, 476, 279, 2798, 593, 519, 1449, 269, 11929, 8018, 1107, 5890, 11228, 12793, 1107, 5149, 476, 275, 7689, 281, 631, 10135, 476, 274, 21397, 1107, 5729, 7736, 1107, 5623, 4303, 476, 274, 1107, 19590, 476, 274, 543, 476, 275, 1107, 2347, 476, 1001, 276, 10298, 5149, 476, 274, 281, 9664, 689, 476, 274, 21397, 11929, 5623, 9509, 10298, 2407, 2450, 1107, 5149, 476, 274, 5149, 476, 275, 281, 9664, 689, 476, 274, 21397, 11929, 5623, 9509, 10298, 2407, 2450, 1107, 5149, 476, 275, 281, 476, 275, 281, 4518, 585, 4653, 281, 5149, 476, 276, 11929, 8018, 1107, 26344, 5852, 269, 1306, 1053, 2263, 891, 3252, 543, 538, 951, 525, 267, 789, 786, 5635, 3328, 3928, 540, 1689, 269, 10789, 476, 272, 6657, 4530, 8382, 6206, 9534, 1299, 12793, 476, 278, 267, 476, 1691, 5149, 476, 278, 281, 5890, 7859, 1299, 3933, 6706, 338, 476, 279, 267, 476, 1626, 267, 476, 2918, 267, 4029, 5149, 476, 279, 281, 27155, 338, 586, 815, 910, 272, 270, 274, 343, 1341, 476, 276, 589, 568, 519, 2953, 269, 476, 275, 14419, 7787, 543, 1950, 21325, 585, 13392, 4834, 269, 6258, 6863, 267, 2474, 267, 543, 811, 609, 15460, 267, 3756, 267, 543, 824, 1353, 2645, 269, 8018, 17582, 269, 476, 277, 27155, 543, 21929, 21153, 8017, 269, 25663, 309, 5058, 681, 9569, 3201, 661, 12702, 25972, 12327, 4456, 12195, 2464, 476, 272, 269, 21602, 476, 274, 2271, 549, 4303, 17948, 269, 1403, 519, 2243, 25701, 547, 8880, 29297, 4925, 543, 24275, 7787, 3252, 621, 949, 581, 12943, 538, 2221, 779, 3992, 267, 865, 594, 1544, 547, 2322, 1346, 11735, 543, 2232, 873, 14182, 269, 7490, 798, 782, 960, 593, 513, 5094, 6656, 540, 1957, 269, 901, 1770, 568, 16922, 540, 4245, 538, 799, 1053, 786, 581, 2016, 269, 769, 713, 3992, 267, 594, 723, 5423, 2947, 630, 276, 264, 1806, 547, 948, 596, 2744, 2596, 1620, 593, 875, 547, 1935, 621, 269, 27449, 543, 519, 5149, 17781, 1107, 5384, 547, 16202, 256, 16544, 540, 7464, 10606, 1107, 634, 11957, 540, 7756, 11868, 19648, 538, 10789, 18104, 10025, 12793, 543, 28977, 1107, 7464, 2622, 10241, 21929, 12793, 543, 4256, 28977, 1107, 6828, 11314, 10789, 545, 25285, 8018, 543, 11314, 1107, 631, 5074, 256, 31054, 10789, 476, 273, 11242, 269, 634, 2626, 1883, 568, 3769, 609, 519, 2979, 3211, 607, 621, 568, 2813, 269, 9736, 329, 700, 298, 17315, 303, 339, 309, 320, 309, 678, 306, 274, 19390, 325, 2005, 329, 342, 8575, 297, 337, 271, 324, 301, 772, 4041, 17442, 5425, 269, 22352, 4266, 269, 6096, 543, 8382, 32368, 269, 6145, 519, 8219, 538, 707, 1378, 1560, 267, 1142, 835, 11438, 856, 513, 1808, 1599, 2556, 585, 519, 1591, 547, 7639, 269, 4147, 11872, 543, 6732, 8249, 282, 23448, 6657, 6096, 609, 12226, 282, 11473, 20861, 338, 282, 476, 277, 269, 1107, 272, 476, 271, 476, 272, 3767, 267, 952, 596, 4729, 891, 586, 268, 11161, 936, 519, 1535, 268, 11161, 649, 723, 689, 519, 7938, 571, 5529, 1770, 5858, 267, 649, 1205, 891, 11708, 269, 634, 1871, 540, 586, 568, 835, 1447, 982, 7466, 519, 1871, 540, 1535, 269, 31962, 602, 596, 666, 4194, 4834, 5627, 8454, 676, 1210, 519, 2547, 1455, 14009, 540, 782, 519, 8454, 538, 519, 3830, 269, 476, 278, 547, 476, 1704, 267, 476, 278, 2433, 476, 1704, 267, 543, 476, 278, 476, 1704, 476, 866, 269, 4303, 476, 277, 22718, 28977, 2201, 2659, 13574, 2042, 8382, 6206, 269, 5994, 519, 2281, 607, 513, 20538, 2749, 269, 21929, 4834, 616, 4834, 269, 17992, 725, 1948, 272, 268, 276, 269, 1863, 3381, 4245, 5078, 585, 5441, 10789, 267, 10789, 5623, 267, 28977, 267, 12793, 543, 741, 28977, 267, 12307, 543, 21153, 8017, 267, 27155, 543, 21929, 12793, 267, 5890, 11228, 543, 8298, 15162, 6193, 12793, 267, 7010, 540, 12307, 267, 25627, 267, 10022, 543, 23642, 6706, 14497, 267, 1806, 543, 1900, 676, 1900, 3435, 269, 4530, 5623, 4888, 14684, 2207, 26395, 312, 269, 476, 272, 769, 2091, 543, 17434, 7352, 566, 476, 280, 269, 700, 8018, 676, 918, 25917, 12229, 20941, 12226, 547, 476, 279, 269, 476, 273, 827, 10503, 14759, 607, 3252, 543, 14236, 14461, 5163, 269, 7824, 543, 8382, 6206, 269, 476, 4905, 2073, 8525, 476, 1911, 3848, 5623, 6206, 10417, 6744, 476, 272, 269, 5225, 5491, 721, 607, 5205, 593, 782, 7084, 543, 2626, 1883, 3817, 15545, 14572, 21929, 12307, 269, 7151, 476, 272, 3557, 519, 4110, 543, 3056, 11664, 540, 519, 9971, 1599, 476, 386, 496, 3287, 264, 476, 277, 343, 276, 476, 279, 343, 274, 476, 279, 343, 269, 1403, 596, 723, 8454, 267, 596, 2119, 547, 9004, 873, 676, 14921, 676, 519, 1455, 14009, 269, 21009, 540, 513, 15694, 1315, 1323, 7469, 848, 476, 274, 269, 476, 274, 17006, 1299, 16265, 24219, 21929, 25285, 7689, 476, 275, 269, 2913, 779, 1376, 609, 8691, 269, 6258, 585, 1863, 827, 2979, 267, 1148, 267, 2780, 5752, 267, 9297, 267, 6323, 267, 7998, 267, 7350, 267, 4915, 267, 8804, 267, 1686, 267, 543, 811, 269, 476, 276, 270, 2190, 5623, 630, 26212, 547, 476, 1001, 279, 264, 14066, 11711, 609, 476, 6344, 2689, 2042, 543, 2626, 1883, 693, 519, 1439, 269, 476, 275, 5442, 309, 8991, 292, 674, 7419, 290, 16739, 769, 2091, 9534, 8641, 519, 11201, 585, 1142, 6935, 2630, 630, 1584, 707, 2626, 593, 519, 1482, 3113, 1040, 20796, 16775, 4047, 4953, 26395, 22076, 282, 17992, 725, 476, 273, 269, 476, 273, 9577, 15051, 269, 5623, 21909, 539, 5999, 269, 8074, 6206, 6902, 14330, 5623, 281, 10417, 5623, 533, 696, 282, 5623, 13268, 720, 281, 8562, 983, 18289, 3487, 476, 272, 630, 12585, 6206, 19382, 281, 14330, 6206, 543, 15829, 12226, 267, 9406, 281, 2859, 5489, 841, 14330, 3435, 1040, 476, 280, 264, 14572, 1949, 609, 513, 5276, 543, 513, 13392, 1599, 630, 21196, 476, 273, 264, 476, 1789, 6744, 909, 476, 274, 4825, 26421, 256, 5239, 476, 1001, 275, 6129, 3933, 570, 826, 11205, 774, 340, 29443, 9045, 476, 272, 5623, 476, 273, 5149, 476, 272, 10495, 476, 274, 24956, 545, 10495, 630, 293, 2716, 1043, 1554, 264, 476, 275, 476, 276, 476, 277, 4825, 26421, 630, 293, 2716, 1043, 1554, 1040, 4635, 12307, 1677, 16534, 6478, 10819, 8018, 717, 2088, 14355, 269, 5623, 8018, 25663, 308, 16739, 17832, 269, 589, 530, 476, 278, 288, 592, 297, 331, 337, 561, 337, 7257, 7666, 327, 278, 339, 9749, 304, 7054, 476, 273, 324, 277, 338, 8722, 271, 337, 291, 341, 289, 5271, 323, 273, 269, 8745, 281, 21718, 3198, 14684, 2207, 26395, 312, 8018, 476, 272, 281, 17291, 20668, 540, 16594, 4460, 840, 6570, 531, 2453, 609, 630, 15426, 634, 3113, 540, 513, 1599, 269, 32516, 5174, 312, 4211, 295, 22790, 4888, 14684, 2207, 26395, 312, 32516, 476, 272, 4888, 14684, 8991, 11123, 5990, 631, 8085, 2316, 303, 4041, 8863, 302, 21201, 32530, 16739, 476, 272, 269, 476, 277, 5623, 8018, 8525, 476, 276, 540, 476, 276, 16534, 519, 1739, 9971, 4834, 585, 782, 1950, 3435, 269, 8641, 532, 513, 9577, 538, 476, 1220, 273, 7147, 29698, 11819, 11872, 476, 276, 268, 279, 12430, 7010, 281, 4635, 28977, 1299, 23959, 269, 5851, 5149, 476, 272, 5149, 476, 273, 5149, 476, 274, 5149, 476, 275, 5149, 476, 276, 5149, 476, 277, 5149, 476, 278, 5149, 476, 279, 5149, 476, 280, 5149, 476, 1015, 5149, 476, 1556, 476, 272, 560, 12054, 6856, 15937, 5623, 269, 15531, 6215, 656, 1306, 2096, 696, 4925, 540, 21929, 12793, 554, 269, 7490, 798, 782, 960, 593, 513, 5094, 6656, 540, 1957, 269, 476, 272, 9534, 543, 12793, 9534, 5890, 5962, 607, 18103, 1229, 623, 4202, 14419, 952, 519, 1739, 1894, 616, 3252, 269, 8018, 476, 273, 269, 8921, 910, 10789, 4083, 21602, 476, 274, 1358, 8831, 519, 6389, 540, 12825, 3252, 547, 519, 3003, 1483, 1899, 630, 301, 7304, 301, 269, 476, 277, 4817, 5998, 10774, 337, 476, 273, 269, 476, 2412, 278, 268, 275, 1240, 3848, 12834, 533, 269, 476, 273, 6657, 8018, 2859, 8641, 532, 26344, 6248, 12793, 8018, 12226, 27116, 476, 276, 269, 4855, 519, 8700, 540, 513, 13551, 952, 922, 3259, 568, 476, 276, 811, 982, 519, 8700, 543, 922, 15943, 568, 476, 3445, 4699, 269, 2991, 789, 723, 5941, 741, 4555, 267, 723, 873, 3113, 519, 1599, 593, 741, 26732, 269, 6657, 4530, 4813, 645, 8382, 6206, 269, 21929, 4834, 616, 4834, 269, 476, 280, 264, 14572, 1949, 609, 513, 5276, 543, 513, 13392, 1599, 630, 21196, 476, 273, 264, 476, 1789, 6744, 909, 476, 274, 4825, 26421, 256, 5239, 476, 1001, 275, 6129, 3933, 570, 826, 11205, 774, 340, 29443, 9045, 476, 272, 5623, 476, 273, 5149, 476, 272, 10495, 476, 274, 24956, 545, 10495, 630, 293, 2716, 1043, 1554, 264, 476, 275, 476, 276, 476, 277, 4825, 26421, 630, 293, 2716, 1043, 1554, 1040, 634, 3961, 1599, 269, 5564, 28745, 543, 12270, 9097, 269, 8641, 532, 9577, 4530, 269, 901, 1025, 984, 814, 2527, 543, 513, 3432, 267, 865, 649, 666, 5173, 922, 15452, 1648, 269, 476, 955, 268, 9172, 9955, 281, 272, 320, 9984, 3066, 267, 476, 272, 321, 264, 1626, 267, 476, 272, 322, 9984, 1321, 267, 476, 272, 323, 264, 2537, 267, 476, 272, 324, 264, 1321, 14370, 320, 266, 272, 1070, 476, 272, 325, 9984, 274, 321, 268, 274, 322, 266, 272, 267, 476, 272, 327, 264, 1535, 15871, 276, 267, 476, 272, 328, 264, 1535, 15871, 278, 267, 476, 272, 329, 264, 1535, 284, 910, 275, 543, 476, 275, 267, 476, 273, 264, 476, 274, 264, 476, 275, 264, 476, 276, 320, 264, 476, 273, 267, 476, 276, 321, 264, 271, 267, 476, 276, 322, 9984, 272, 269, 4419, 306, 12522, 543, 519, 4419, 306, 12522, 269, 6096, 616, 8641, 532, 7787, 267, 476, 280, 7787, 3252, 1740, 267, 4518, 7787, 3252, 267, 1306, 2096, 696, 4925, 543, 9475, 24275, 7787, 3252, 267, 2776, 322, 1321, 7787, 3252, 2012, 960, 267, 14572, 7787, 4834, 267, 8641, 532, 513, 7787, 1599, 267, 476, 1015, 2979, 476, 7906, 3498, 2042, 609, 7787, 7215, 269, 2776, 20412, 639, 1377, 476, 273, 269, 11638, 13109, 540, 24306, 476, 277, 269, 28217, 290, 1321, 21929, 12793, 8745, 281, 21718, 8018, 4888, 14684, 2207 ]

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

[ 1677, 3035, 9355, 9624, 1761, 10848, 267, 649, 15974, 513, 2185, 17376, 784, 539, 1935, 281, 13754, 1944, 4030, 267, 24152, 7687, 267, 7234, 6286, 267, 543, 11021, 2104, 8846, 780, 272, 269, 16522, 1127, 1944, 29362, 281, 8528, 2304, 3759, 20160, 631, 14641, 1867, 1590, 1253, 650, 5318, 9424, 540, 6151, 1239, 883, 7558, 1043, 1491, 25498, 269, 9828, 899, 21044, 2079, 666, 581, 15747, 1934, 267, 7175, 3173, 547, 2697, 18596, 3270, 1369, 12007, 1344, 269, 3958, 267, 11050, 9382, 949, 28173, 10427, 2553, 899, 7293, 3830, 9781, 610, 1617, 21725, 9695, 267, 4470, 593, 519, 2470, 540, 6394, 1239, 543, 6859, 540, 519, 1353, 269, 17859, 540, 6074, 10763, 11444, 267, 2164, 7664, 7569, 1085, 14442, 592, 748, 3007, 547, 1469, 267, 4180, 12972, 609, 3312, 19165, 1247, 6967, 32615, 547, 27644, 8906, 780, 273, 269, 4934, 23164, 7799, 14591, 1384, 9336, 4062, 540, 1382, 12217, 1978, 10148, 267, 2436, 789, 6565, 689, 10386, 12886, 267, 6482, 6959, 267, 610, 824, 2959, 540, 4835, 14496, 6937, 269, 23779, 540, 971, 28919, 11942, 7214, 21548, 267, 7393, 17258, 676, 11744, 11413, 269, 5015, 267, 14344, 9993, 2636, 2230, 585, 4244, 12496, 267, 5732, 26354, 19929, 1472, 896, 13231, 1221, 2127, 543, 20872, 27715, 540, 4540, 26336, 269, 4935, 267, 950, 26004, 707, 631, 14641, 1867, 267, 25058, 1813, 7156, 547, 19286, 908, 1022, 11402, 9465, 1282, 519, 1382, 1184, 780, 274, 269, 9181, 532, 20480, 1384, 19741, 9306, 10230, 4093, 543, 21370, 12383, 267, 3811, 631, 14641, 5359, 5490, 4514, 883, 4052, 29298, 269, 1635, 16046, 7493, 4681, 1394, 547, 1483, 8996, 8658, 267, 4589, 20838, 10083, 543, 6536, 31675, 269, 1280, 3236, 267, 952, 14236, 7082, 7375, 2509, 10357, 7888, 2472, 267, 835, 1522, 1921, 8753, 547, 6626, 2825, 27964, 267, 5356, 15889, 7840, 585, 4213, 20678, 547, 2569, 3327, 29066, 1510, 27531, 20656, 269, 6270, 5717, 8115, 7811, 10616, 267, 1818, 1382, 3015, 547, 19995, 2950, 945, 24903, 1796, 547, 2744, 1034, 2047, 689, 4294, 2090, 780, 275, 269, 21909, 532, 8892, 19648, 1384, 15563, 267, 25759, 6810, 2709, 3255, 547, 1179, 3634, 827, 23257, 1819, 11182, 22691, 585, 14374, 269, 3371, 267, 3173, 666, 24370, 1125, 3209, 3515, 540, 15819, 267, 2303, 5499, 27696, 4485, 267, 610, 12167, 585, 9450, 14449, 5827, 540, 27283, 9597, 5652, 3344, 540, 4207, 6990, 269, 1306, 6725, 8916, 11457, 6385, 267, 9363, 32448, 540, 28928, 3466, 5849, 13455, 9304, 1369, 24243, 543, 2872, 7567, 269, 4475, 267, 4464, 23302, 6898, 4196, 12242, 5301, 281, 4412, 2454, 4610, 4464, 543, 11121, 1985, 5481, 540, 5640, 543, 4648, 780, 14945, 2414, 973, 777, 527, 3634, 267, 14335, 606, 26374, 631, 14641, 1867, 3340, 811, 982, 6071, 6881, 540, 5515, 282, 2864, 267, 621, 3322, 15826, 1225, 566, 540, 4030, 267, 8521, 2431, 1145, 3823, 7687, 267, 16135, 3498, 540, 7811, 2035, 267, 543, 22509, 697, 7282, 17053, 7835, 269, 1520, 11447, 547, 891, 3741, 19411, 919, 538, 7347, 6054, 2215, 539, 585, 23425, 2066, 3309, 3988, 4721, 267, 6038, 14027, 938, 7104, 8223, 540, 2479, 6879, 14823, 2344, 6384, 269, 0, 8620, 606, 1349, 540, 513, 3621, 4760, 2376, 585, 1412, 7468, 514, 3321, 540, 16373, 3299, 3358, 585, 4648, 543, 3173, 593, 519, 1888, 563, 2171, 616, 1603, 593, 3184, 1412, 8139, 519, 10369, 2897, 8339, 769, 1880, 267, 3296, 1412, 3721, 338, 538, 513, 21988, 16373, 3194, 4643, 262, 540, 1412, 15812, 7566, 3194, 543, 10369, 11106, 262, 851, 269, 1284, 723, 2907, 4988, 519, 1739, 4559, 538, 713, 3296, 281, 1412, 8624, 937, 519, 4578, 3299, 1412, 15675, 519, 4578, 14635, 6396, 8339, 3503, 513, 1007, 1770, 11331, 1412, 7093, 6768, 519, 3194, 7797, 262, 780, 763, 2511, 1058, 11604, 602, 540, 513, 14046, 8313, 267, 711, 1153, 9499, 267, 17935, 547, 4497, 513, 3810, 18164, 5304, 609, 1360, 2620, 6791, 269, 8347, 547, 1384, 268, 10558, 4359, 6436, 267, 1210, 2930, 543, 4081, 1893, 563, 268, 3417, 2565, 2079, 540, 2487, 1382, 4681, 543, 9840, 538, 519, 2361, 267, 609, 513, 2143, 6514, 540, 12170, 1239, 543, 8579, 16097, 563, 268, 634, 2376, 1058, 2992, 519, 3178, 543, 6988, 540, 1543, 1336, 538, 1283, 2389, 1512, 9297, 13746, 267, 5497, 585, 513, 3988, 1222, 7184, 31737, 538, 519, 2361, 563, 268, 1684, 711, 1039, 2097, 909, 609, 8100, 610, 1039, 873, 693, 519, 1439, 540, 519, 2376, 269, 1403, 972, 616, 6310, 7215, 946, 513, 2953, 17623, 311, 11249, 543, 798, 711, 946, 2592, 269, 0, 3848, 7170, 281, 11374, 2290, 781, 32425, 281, 26179, 715, 30964, 781, 20154, 17714, 692, 293, 3072, 5341, 715, 30964, 5030, 1282, 519, 2034, 3368, 540, 519, 13524, 2540, 267, 950, 1082, 1390, 8906, 543, 2242, 3576, 1747, 1472, 519, 1158, 269, 1261, 729, 4535, 538, 1018, 568, 1631, 5125, 543, 2968, 835, 540, 922, 1034, 4583, 17024, 543, 5830, 269, 1717, 267, 7429, 824, 5640, 945, 6170, 741, 2729, 3450, 538, 3506, 543, 12621, 267, 715, 30964, 8359, 513, 1114, 2619, 1107, 835, 602, 3366, 1864, 998, 10239, 267, 4872, 267, 543, 6038, 267, 883, 1010, 1378, 2247, 269, 901, 3184, 786, 2263, 715, 30964, 781, 5289, 3460, 267, 6029, 875, 646, 9927, 689, 513, 2757, 16159, 883, 513, 29412, 14544, 945, 20402, 2486, 781, 2418, 543, 4978, 780, 301, 30964, 8057, 909, 609, 513, 6612, 585, 1565, 827, 3504, 4529, 899, 10255, 543, 7507, 269, 1306, 513, 2875, 267, 646, 22002, 713, 1719, 2417, 267, 5555, 4742, 513, 7548, 540, 8106, 15599, 1108, 9789, 1353, 540, 3504, 4654, 543, 3332, 1765, 520, 519, 1762, 2085, 540, 8938, 21144, 256, 2755, 930, 1004, 1522, 723, 1044, 6126, 9363, 538, 971, 513, 2990, 585, 1296, 267, 715, 30964, 5433, 1964, 1652, 543, 1032, 2740, 585, 1945, 811, 780, 5331, 1373, 865, 8049, 543, 27093, 602, 9361, 538, 513, 4928, 1169, 1554, 3085, 1405, 14183, 596, 15042, 269, 1411, 1616, 547, 1294, 1007, 4025, 267, 2743, 4277, 1004, 267, 543, 1995, 1272, 3564, 1175, 2542, 827, 621, 538, 2025, 2835, 269, 2334, 781, 4010, 875, 715, 30964, 5433, 269, 1924, 267, 1310, 1896, 1296, 540, 3450, 267, 646, 4956, 547, 4734, 3297, 1010, 4081, 4876, 543, 7832, 593, 606, 9058, 7045, 2066, 2342, 780, 2690, 519, 1985, 4557, 1296, 267, 715, 30964, 14612, 1394, 543, 8521, 1063, 16848, 543, 7977, 267, 4466, 6667, 538, 519, 18198, 8916, 540, 519, 32595, 543, 519, 7524, 2528, 2059, 519, 11335, 5032, 269, 4438, 891, 12599, 267, 646, 5206, 3875, 14262, 10952, 1568, 602, 13934, 2442, 5784, 593, 13919, 267, 4984, 267, 543, 5168, 269, 2368, 540, 1010, 8037, 12591, 1331, 1412, 13295, 1975, 5803, 2098, 541, 987, 755, 571, 10086, 1412, 19741, 6153, 543, 5345, 559, 10086, 543, 1412, 4002, 519, 2637, 7002, 9609, 540, 5651, 1023, 9538, 1452, 2835, 1642, 1386, 2620, 883, 1480, 2470, 267, 15819, 6848, 8155, 543, 28409, 3988, 547, 556, 24834, 10663, 741, 1620, 540, 1318, 543, 4636, 780, 4913, 267, 715, 30964, 781, 1391, 7012, 1405, 2141, 2653, 269, 13966, 2515, 8090, 540, 7096, 5813, 3357, 5712, 540, 4057, 2168, 543, 2790, 1072, 269, 898, 729, 3592, 607, 952, 1010, 29287, 13287, 540, 7326, 1185, 3144, 513, 17167, 593, 1010, 1560, 543, 2247, 269, 8616, 267, 5103, 6849, 14488, 267, 715, 30964, 829, 572, 30099, 267, 9141, 676, 606, 1202, 520, 4192, 7279, 543, 8990, 547, 10625, 519, 13655, 540, 6228, 780, 3080, 4241, 2460, 540, 715, 30964, 781, 6138, 568, 1010, 2856, 540, 834, 564, 1716, 531, 24088, 2437, 799, 5267, 602, 3388, 538, 938, 2729, 4523, 936, 543, 936, 1586, 28222, 269, 6056, 827, 707, 5172, 7260, 610, 1433, 282, 9327, 1405, 621, 581, 5863, 952, 596, 1223, 4585, 610, 1224, 621, 1439, 8393, 286, 1809, 715, 30964, 4294, 713, 1523, 547, 782, 3344, 540, 1272, 267, 1256, 1346, 649, 949, 1265, 2352, 610, 11213, 269, 1635, 8508, 18163, 24088, 267, 646, 24016, 721, 547, 2661, 6461, 1227, 543, 2898, 27329, 569, 1317, 1169, 4090, 1131, 10956, 3294, 11014, 780, 307, 578, 1841, 519, 1439, 540, 1010, 11327, 1974, 267, 715, 30964, 4810, 513, 4049, 2790, 15059, 543, 6170, 519, 14230, 540, 1010, 2395, 538, 694, 2424, 2394, 1010, 2669, 538, 476, 5002, 271, 269, 9282, 1010, 1650, 814, 513, 8909, 10678, 267, 972, 616, 3407, 4245, 547, 1451, 689, 1010, 6909, 3460, 780, 9617, 899, 715, 30964, 267, 1142, 835, 540, 721, 4422, 998, 938, 2189, 5289, 15322, 4904, 609, 23538, 543, 7140, 269, 6884, 267, 649, 588, 18443, 2390, 2591, 602, 1449, 938, 8207, 267, 1247, 824, 2053, 267, 649, 7237, 3255, 602, 4412, 601, 721, 4464, 2509, 1582, 22523, 269, 3143, 2339, 1141, 1272, 3217, 721, 267, 1577, 781, 3314, 547, 9784, 1689, 12703, 569, 543, 1246, 938, 18653, 4250, 8393, 267, 1175, 607, 26179, 715, 30964, 1705, 2429, 1010, 7415, 1272, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2135, 5112, 1158, 779, 27825, 454, 4488, 4753, 670, 6865, 302, 26179, 715, 30964, 630, 7277, 275, 1700, 5002, 271, 264, 729, 4535, 538, 681, 7238, 1188, 523, 267, 29017, 3415, 267, 543, 13473, 693, 519, 9945, 540, 12844, 333, 543, 2274, 760, 345, 580, 269, 2311, 519, 2085, 540, 1152, 476, 2190, 646, 729, 12912, 7905, 540, 18190, 5845, 1108, 693, 519, 2160, 540, 5178, 548, 267, 855, 12675, 536, 8083, 540, 2192, 1072, 7142, 1864, 547, 29997, 689, 1010, 2022, 538, 476, 6942, 280, 269, 3683, 519, 1985, 8717, 646, 9505, 339, 1194, 1063, 519, 18230, 32595, 543, 519, 11335, 5032, 267, 1821, 7627, 5128, 7357, 547, 3206, 543, 1603, 269, 3571, 2038, 2835, 543, 30732, 7410, 630, 763, 17510, 540, 3004, 3022, 344, 267, 772, 660, 830, 569, 2405, 14591, 264, 941, 8185, 538, 23807, 480, 340, 10642, 676, 25538, 1676, 543, 5576, 13449, 327, 21516, 267, 855, 689, 5274, 267, 2353, 18320, 5274, 630, 6942, 279, 264, 593, 267, 1010, 2219, 3459, 547, 1020, 811, 10446, 267, 543, 646, 3370, 513, 3126, 540, 2666, 31771, 10952, 1568, 630, 763, 22985, 3163, 267, 4935, 1975, 5803, 2098, 541, 987, 755, 571, 267, 15332, 6153, 543, 5345, 559, 267, 2201, 519, 2637, 7002, 9609, 540, 5651, 1023, 264, 799, 19411, 730, 538, 513, 535, 1066, 5414, 540, 2504, 538, 519, 14656, 3275, 540, 476, 6642, 279, 269, 769, 5130, 476, 6642, 280, 715, 30964, 647, 23807, 478, 1229, 513, 2790, 15059, 689, 799, 646, 729, 2760, 547, 9156, 267, 606, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 306, 2869, 3770, 4260, 7958, 257, 607, 851, 540, 834, 10292, 24209, 1299, 27483, 302, 10292, 24209, 1315, 6490, 7546, 338, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 11910, 19973, 267, 1419, 5219, 547, 607, 519, 968, 6665, 783, 1148, 540, 519, 11453, 2223, 814, 1044, 606, 7533, 851, 540, 4457, 2528, 585, 5553, 269, 634, 5898, 543, 25894, 540, 30951, 723, 1500, 621, 3810, 15197, 543, 25343, 1312, 1369, 543, 3544, 540, 3624, 269, 901, 1576, 1770, 12538, 883, 519, 3140, 4644, 267, 4720, 267, 2553, 267, 543, 2413, 10083, 540, 4457, 30951, 780, 296, 269, 8466, 19043, 543, 12472, 454, 24336, 30951, 7389, 1394, 547, 519, 1744, 836, 15913, 630, 322, 269, 476, 8182, 271, 1700, 10441, 277, 14514, 1070, 1141, 2038, 3029, 941, 4362, 593, 522, 20432, 7633, 1031, 585, 2820, 1588, 5301, 269, 3683, 942, 267, 30951, 7960, 7258, 519, 1646, 540, 4457, 1603, 1949, 267, 5555, 4742, 606, 4830, 1148, 1106, 676, 519, 12390, 15913, 630, 18684, 14514, 1107, 476, 13136, 9460, 1040, 10801, 1686, 267, 900, 30752, 543, 5640, 7567, 723, 26060, 713, 15568, 4739, 1813, 547, 922, 2702, 547, 6655, 4664, 543, 6891, 998, 5714, 18116, 543, 3515, 780, 2862, 269, 9828, 543, 26505, 454, 2467, 616, 2185, 3119, 20072, 538, 2757, 4457, 30951, 281, 13021, 7097, 267, 804, 518, 673, 7097, 267, 2834, 7097, 267, 543, 4881, 7097, 269, 3962, 1826, 19299, 2189, 4162, 267, 8482, 1931, 267, 543, 3498 ]

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

[ 519, 942, 267, 2230, 267, 543, 30729, 540, 5107, 563, 2252, 596, 616, 936, 1740, 539, 267, 25356, 267, 543, 2141, 4758, 547, 1866, 267, 513, 838, 320, 4266, 666, 2709, 942, 547, 13951, 563, 2252, 596, 616, 1031, 547, 1373, 519, 575, 1853, 267, 621, 666, 581, 11212, 7067, 547, 581, 593, 519, 8391, 1439, 267, 2436, 621, 568, 8391, 513, 18552, 267, 513, 16138, 5109, 7594, 267, 610, 3274, 8391, 2576, 779, 2407, 3007, 543, 4527, 269, 1280, 1004, 945, 960, 538, 513, 3028, 15129, 3924, 267, 8391, 568, 513, 2629, 851, 540, 9363, 7059, 269, 769, 1249, 267, 8391, 543, 4758, 616, 1312, 7215, 540, 519, 2067, 2095, 540, 1272, 1648, 269, 1280, 1034, 2021, 945, 616, 4356, 18050, 543, 31411, 547, 2285, 267, 8391, 29454, 689, 1776, 666, 581, 513, 10516, 7429, 1022, 824, 563, 22709, 720, 543, 824, 2010, 540, 1560, 1740, 666, 849, 581, 606, 1271, 1840, 547, 513, 8149, 1753, 2259, 269, 1703, 568, 1100, 12990, 585, 519, 7067, 1379, 540, 5905, 543, 519, 4743, 540, 606, 4810, 19995, 945, 666, 2150, 773, 519, 25418, 538, 938, 6091, 543, 3673, 807, 267, 948, 721, 9156, 689, 7063, 267, 543, 7618, 519, 1560, 540, 1018, 1072, 7959, 899, 563, 1103, 4334, 267, 1582, 23949, 592, 7217, 2238, 2709, 513, 10151, 12257, 602, 568, 3908, 547, 6000, 269, 589, 29413, 9702, 568, 1390, 855, 949, 4324, 1175, 721, 267, 6466, 513, 9066, 2259, 602, 12406, 721, 538, 9350, 1145, 2640, 721, 267, 938, 4891, 267, 938, 1453, 267, 938, 1920, 267, 543, 938, 2146, 563, 1103, 4156, 25966, 269, 24498, 454, 10890, 814, 1312, 4835, 543, 5007, 3334, 269, 5900, 2056, 547, 519, 4835, 568, 971, 606, 1271, 851, 540, 1582, 13282, 269, 901, 568, 1776, 3017, 1063, 1018, 30193, 1582, 13282, 689, 1582, 23949, 592, 10885, 563, 20236, 13282, 2853, 616, 3622, 24323, 15129, 269, 2398, 520, 344, 1695, 541, 267, 519, 5373, 540, 519, 2631, 8219, 27808, 267, 568, 606, 1898, 18215, 540, 10649, 543, 568, 519, 3017, 1063, 3635, 543, 607, 3570, 563, 2026, 3570, 3322, 606, 4835, 5057, 13296, 938, 4656, 568, 9859, 27808, 543, 711, 14311, 21286, 269, 8682, 23949, 592, 7217, 2238, 616, 267, 538, 2489, 267, 14311, 21286, 543, 666, 581, 5920, 15129, 269, 717, 3336, 532, 543, 512, 2056, 547, 938, 5920, 568, 1271, 267, 855, 621, 568, 711, 519, 1482, 607, 4656, 267, 9637, 267, 543, 11009, 267, 782, 540, 799, 1331, 4835, 1436, 540, 938, 1272, 20589, 269, 11109, 938, 18969, 2944, 543, 3478, 513, 1390, 688, 1844, 583, 949, 3565, 547, 4743, 4190, 267, 855, 621, 568, 1100, 12990, 585, 9758, 1582, 12635, 267, 799, 2501, 689, 1369, 269, 966, 2728, 532, 938, 7907, 267, 938, 5898, 267, 1983, 267, 543, 7221, 5932, 513, 2234, 4800, 602, 666, 1406, 581, 9676, 538, 513, 3068, 2407, 540, 17539, 563, 309, 2728, 532, 938, 7907, 267, 938, 5898, 267, 1983, 267, 543, 7221, 5932, 513, 2234, 4800, 602, 666, 1406, 581, 9676, 538, 513, 3068, 2407, 540, 17539, 563, 4407, 10229, 15055, 547, 18609, 721, 6382, 267, 5898, 2472, 616, 1175, 2472, 269, 25925, 1281, 711, 2097, 689, 513, 11480, 540, 5748, 282, 621, 2501, 689, 606, 6418, 16657, 543, 2234, 4800, 269, 10705, 713, 2234, 4800, 568, 519, 1267, 540, 1296, 540, 6418, 960, 543, 7004, 269, 901, 568, 519, 3791, 3017, 1063, 1582, 13282, 543, 1582, 23949, 592, 10885, 269, 8682, 13282, 2853, 616, 6038, 827, 7004, 563, 303, 548, 5501, 25966, 269, 26306, 454, 20236, 13282, 2853, 899, 10649, 267, 9066, 267, 543, 6857, 7244, 9153, 7004, 269, 594, 666, 1140, 652, 547, 713, 5168, 269, 18639, 814, 2016, 803, 2168, 1072, 543, 814, 9927, 803, 689, 519, 3330, 856, 269, 901, 7004, 568, 519, 14952, 543, 27803, 540, 5289, 2259, 602, 10741, 721, 909, 547, 513, 3152, 1761, 3330, 602, 568, 3564, 1018, 649, 4076, 1044, 6026, 547, 3494, 827, 6000, 563, 2026, 649, 8774, 519, 6106, 540, 938, 2250, 543, 32436, 4978, 602, 649, 723, 15110, 267, 649, 616, 2111, 547, 2661, 609, 9837, 267, 9355, 267, 543, 3483, 269, 1879, 938, 3527, 616, 12082, 538, 7881, 543, 8699, 267, 649, 616, 2111, 547, 2981, 4948, 2833, 883, 3255, 585, 2123, 543, 5289, 2208, 269, 901, 3217, 11428, 543, 5812, 4674, 269, 26306, 10355, 2501, 1510, 9636, 563, 1103, 4334, 267, 1582, 23949, 592, 7217, 2238, 616, 5418, 553, 9092, 269, 1656, 267, 950, 519, 12257, 7475, 267, 649, 616, 4010, 1141, 649, 3323, 269, 8682, 13282, 2853, 1491, 721, 593, 606, 6418, 3460, 602, 2591, 267, 2242, 267, 543, 21810, 945, 649, 616, 689, 519, 3330, 856, 563, 7661, 267, 1582, 13282, 512, 2355, 883, 938, 6418, 2200, 281, 938, 2702, 547, 10038, 938, 4664, 267, 6521, 2634, 2829, 267, 543, 1847, 938, 929, 3570, 689, 938, 9843, 547, 938, 12271, 269, 12213, 7244, 12153, 519, 11005, 3210, 543, 666, 948, 6521, 721, 689, 513, 18325, 2634, 1533, 883, 606, 13672, 610, 2620, 11005, 2634, 1533, 269, 634, 2702, 547, 6521, 938, 2634, 6329, 883, 513, 14887, 11733, 666, 948, 721, 1569, 938, 20932, 267, 7326, 267, 543, 5876, 563, 20236, 23949, 592, 7217, 2238, 949, 948, 721, 1745, 17159, 267, 855, 789, 798, 711, 1683, 519, 2645, 547, 1569, 11005, 593, 938, 1378, 269, 18639, 2175, 519, 1560, 9308, 267, 15508, 267, 543, 14156, 267, 18363, 711, 1152, 519, 6091, 267, 10549, 267, 543, 8031, 855, 849, 519, 8401, 1062, 267, 15374, 267, 543, 2634, 269, 634, 10569, 547, 14237, 1114, 2829, 540, 9637, 899, 2620, 11005, 267, 14955, 6463, 2648, 267, 543, 7067, 693, 519, 32436, 1377, 616, 782, 851, 540, 1582, 13282, 2853, 899, 10649, 543, 9066, 563, 2080, 616, 513, 1906, 540, 519, 1582, 13282, 2853, 602, 594, 946, 5781, 547, 948, 803, 7148, 883, 1250, 6418, 2200, 543, 11349, 513, 2631, 540, 6418, 9350, 543, 4708, 912, 20236, 4211, 732, 27450, 6657, 454, 6524, 596, 2253, 707, 1554, 267, 1118, 513, 16138, 5109, 4235, 267, 1694, 1524, 267, 543, 1491, 942, 547, 23249, 543, 2992, 563, 9743, 15297, 281, 9105, 519, 2243, 267, 1018, 666, 594, 798, 2221, 547, 16138, 880, 803, 9308, 267, 14156, 267, 10069, 13443, 267, 543, 32375, 286, 7994, 835, 3364, 689, 707, 2626, 543, 3479, 547, 20319, 621, 883, 707, 1554, 563, 16485, 281, 1018, 666, 594, 798, 2221, 547, 16138, 880, 803, 9308, 267, 14156, 267, 10069, 13443, 267, 543, 32375, 286, 1315, 17421, 676, 774, 558, 29385, 454, 20236, 4211, 732, 11068, 28233, 6744, 24493, 454, 1103, 519, 1647, 540, 707, 1554, 267, 1491, 513, 476, 1015, 18826, 942, 13050, 547, 23249, 543, 581, 1869, 269, 769, 519, 4832, 5503, 267, 594, 899, 547, 1694, 3544, 267, 1745, 519, 3636, 24106, 593, 1250, 2960, 267, 543, 1577, 1250, 2247, 32603, 1247, 594, 3251, 18906, 633, 547, 1250, 7362, 269, 1879, 519, 4365, 568, 4411, 267, 594, 1118, 513, 7484, 540, 7401, 543, 1694, 593, 1250, 2713, 4055, 4172, 577, 267, 543, 22401, 856, 519, 6885, 563, 9743, 15297, 281, 4855, 513, 6899, 1747, 547, 1694, 269, 18564, 707, 1694, 345, 7633, 543, 1745, 3054, 23928, 883, 707, 1560, 269, 18461, 12082, 543, 4448, 547, 519, 3047, 9944, 596, 269, 18461, 707, 4295, 543, 519, 6617, 540, 707, 10652, 6665, 543, 12636, 269, 18564, 519, 11375, 1446, 543, 17938, 1446, 540, 707, 7362, 543, 519, 3350, 540, 7362, 538, 519, 17737, 269, 4039, 1314, 707, 1394, 6091, 543, 1745, 513, 2631, 540, 17666, 998, 519, 12636, 269, 1924, 19924, 519, 6091, 538, 707, 3068, 269, 5590, 1479, 883, 707, 2295, 543, 581, 18906, 633, 547, 8726, 14340, 269, 2913, 707, 7362, 19671, 596, 538, 519, 1459, 4090, 269, 2142, 18906, 633, 547, 1141, 707, 2247, 18389, 619, 543, 1018, 596, 1745, 14156, 543, 10069, 13443, 563, 20236, 4211, 732, 715, 4774, 6657, 454, 6624, 1296, 3516, 267, 594, 4121, 513, 2259, 547, 948, 7938, 785, 693, 519, 1439, 540, 519, 1554, 267, 547, 11753, 543, 1184, 782, 519, 2833, 540, 1250, 1554, 267, 543, 547, 5965, 585, 3207, 563, 9743, 15297, 281, 1306, 596, 9114, 1524, 267, 5469, 707, 7362, 269, 14190, 707, 7244, 547, 3500, 1524, 865, 602, 596, 1745, 17159, 269, 4032, 476, 1015, 3500, 24967, 267, 3850, 585, 513, 23249, 1063, 1142, 7362, 269, 4495, 596, 1745, 17159, 543, 693, 8897, 267, 11291, 547, 707, 2247, 519, 2063, 2534, 540, 707, 1554, 543, 960, 998, 707, 1554, 23651, 2394, 596, 3914, 519, 4090, 540, 24971, 909, 269, 18564, 519, 4606, 543, 4555, 602, 8451, 269, 5901, 4947, 1394, 547, 519, 8142, 540, 2324, 23651, 998, 707, 1554, 2394, 519, 4090, 540, 24971, 909, 538, 519, 6640, 563, 4322, 2853, 666, 948, 596, 3715, 513, 1582, 13282, 6296, 602, 20555, 596, 593, 782, 2157, 269, 634, 1883, 568, 547, 798, 873, 5781, 2336, 4407, 594, 2648, 547, 1433, 838, 320, 7389, 609, 1250, 8004, 23136, 543, 32696, 538, 29413, 6980, 267, 1582, 13282, 12738, 267, 543, 2853, 899, 10649, 543, 9066, 16138, 880, 803, 538, 2081, 602, 10217, 543, 1795, 10118, 666, 1406, 269, 14856, 10217, 3947, 803, 513, 7904, 7566, 4090, 540, 12257, 267, 1247, 4189, 513, 16138, 5109, 267, 27357, 7594, 2488, 803, 609, 4492, 2429, 1250, 1554, 563, 288, 3232, 5812, 2259, 568, 899, 513, 16138, 5109, 7594, 269, 3733, 2259, 16138, 8460, 803, 593, 782, 2157, 543, 2488, 803, 609, 513, 7123, 267, 5812, 2707, 540, 1648, 269, 3962, 1554, 602, 594, 3442, 621, 267, 621, 16138, 8460, 803, 269, 898, 19595, 803, 540, 519, 1913, 540, 962, 690, 328, 9040, 328, 670, 926, 667, 817, 267, 968, 2252, 596, 960, 593, 10649, 267, 707, 10649, 786, 960, 593, 596, 3034, 293, 23022, 9294, 541, 8932, 568, 513, 10649, 18191, 6064, 773, 269, 2701, 814, 2620, 2648, 543, 6612, 585, 782, 1919, 10649, 268, 607, 3570, 267, 16051, 571, 267, 737, 7398, 534, 267, 562, 573, 571, 267, 521, 1846, 836, 267, 543, 519, 27659, 6652, 269, 1879, 1352, 779, 711, 593, 519, 1319, 267, 1352, 779, 2870, 7044, 267, 6721, 27143, 267, 610, 10647, 737, 1301, 545, 6901, 1210, 519, 9304, 540, 2648, 269, 2701, 2729, 609, 835, 3723, 16119, 538, 519, 3059, 7706, 543, 519, 824, 3723, 12082, 538, 7186, 267, 2067, 18819, 267, 543, 519, 19957, 1761, 1369, 519, 1480, 2295, 563, 312, 7541, 865, 582, 1127, 543, 29915, 919, 267, 543, 621, 2337, 721, 2259, 11009, 607, 649, 1332, 6793, 269, 1677, 7148, 883, 519, 2186, 540, 2318, 1648, 602, 10649, 6770, 267, 649, 991, 547, 1589, 827, 811, 982, 1175, 875, 649, 1847, 269, 1284, 723, 547, 2628, 3007, 547, 519, 11733, 540, 938, 7244, 267, 519, 5790, 267, 543, 938, 4664, 269, 1284, 991, 547, 3142, 873, 538, 3666, 269, 1809, 875, 4010, 666, 649, 798, 602, 286, 1635, 1210, 2575, 269, 8535, 6770, 10103, 547, 1272, 269, 898, 3947, 721, 1346, 1614, 1883, 5820, 602, 649, 991, 281, 11733, 267, 5790, 267, 543, 3929, 4276, 602, 666, 21592, 10649, 689, 513, 6071, 15904, 547, 513, 5963, 7096, 1995, 269, 3371, 779, 875, 547, 1711, 707, 1378, 3501, 10649, 1404, 4289, 563, 13706, 519, 942, 540, 1554, 454, 29409, 940, 10649, 568, 2356, 5921, 547, 10069, 1125, 596, 543, 1205, 596, 2469, 267, 1247, 513, 30148, 6296, 1522, 581, 6322, 693, 11005, 269, 5455, 18566, 2575, 1522, 711, 581, 513, 1390, 2856, 952, 596, 2461, 3843, 547, 1577, 8082, 979, 543, 865, 6139, 707, 2247, 2614, 547, 948, 596, 3207, 1310, 513, 15904, 269, 29114, 528, 707, 1404, 4289, 547, 519, 942, 540, 1554, 543, 519, 3804, 596, 2461, 3843, 547, 9585, 609, 707, 15904, 269, 14190, 519, 1404, 4289, 547, 1711, 519, 1318, 1604, 1107, 2901, 602, 540, 3728, 19550, 267, 17615, 7772, 267, 610, 602, 540, 513, 2922, 267, 25695, 11005, 563, 13914, 827, 707, 5304, 454, 6701, 596, 2324, 856, 4805, 286, 3973, 782, 596, 991, 547, 2015, 616, 707, 1378, 2115, 269, 1717, 267, 952, 596, 2461, 513, 10649, 14357, 610, 513, 13334, 4623, 1356, 609, 513, 1804, 1739, 267, 1287, 596, 723, 547, 2322, 707, 5304, 1101, 269, 6056, 827, 1018, 789, 991, 543, 875, 596, 666, 948, 873, 1445, 593, 519, 15904, 8400, 267, 875, 547, 1118, 873, 1205, 998, 519, 9157, 2694, 543, 18663, 873, 547, 1832, 2469, 563, 13014, 2386, 602, 519, 1404, 4289, 13289, 689, 5152, 547, 5152, 12347, 543, 602, 707, 5304, 4991, 547, 5873 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 769, 513, 14297, 4884, 4904, 609, 7524, 15945, 267, 5030, 12756, 910, 513, 2186, 13463, 14975, 536, 6033, 945, 11262, 513, 2370, 14735, 6300, 3957, 834, 306, 11548, 5548, 2074, 1701, 1717, 267, 2479, 2094, 519, 2462, 6531, 540, 798, 558, 630, 10193, 1634, 607, 519, 6855, 264, 3357, 936, 267, 1200, 6300, 7012, 1405, 3478, 1082, 8436, 269, 4173, 8949, 25394, 941, 533, 4979, 909, 1164, 267, 5667, 1245, 267, 1247, 1200, 5820, 2968, 811, 7199, 1142, 1554, 256, 901, 1500, 12756, 1745, 8909, 543, 14126, 1317, 1352, 7948, 1405, 2628, 1200, 25961, 22171, 267, 6341, 543, 5484, 267, 6862, 4444, 1426, 585, 9887, 269, 2701, 2893, 1524, 267, 31325, 693, 1079, 10092, 1354, 1200, 281, 547, 1832, 7836, 2724, 593, 1200, 11537, 29221, 2044, 610, 3406, 585, 513, 1114, 2816, 780, 3080, 13566, 12784, 267, 950, 12756, 729, 4743, 3063, 7138, 1194, 267, 1352, 4956, 547, 5077, 1200, 8797, 3659, 267, 7905, 26449, 269, 1261, 6700, 267, 834, 300, 7559, 267, 15210, 267, 1577, 721, 4983, 707, 32252, 3512, 5702, 1107, 1454, 899, 875, 3744, 7747, 543, 8495, 1919, 1472, 873, 10590, 8625, 789, 9916, 519, 2883, 11236, 543, 4362, 602, 1034, 2042, 6565, 4364, 8197, 689, 519, 5571, 6855, 269, 3973, 267, 7905, 26449, 4280, 8049, 569, 267, 834, 12441, 596, 917, 602, 5774, 12515, 3262, 13974, 547, 678, 31454, 2813, 676, 21177, 513, 6149, 538, 1869, 1216, 286, 1358, 1312, 1246, 3270, 1572, 1412, 30335, 9538, 257, 2060, 6801, 538, 1200, 4064, 267, 12756, 608, 13094, 267, 834, 32452, 256, 1924, 6148, 1310, 891, 6329, 1016, 2515, 267, 5561, 786, 2132, 547, 1250, 6300, 8119, 1677, 799, 7905, 26449, 21330, 20617, 780, 2414, 4688, 930, 11113, 267, 12756, 267, 6341, 267, 543, 5484, 2322, 741, 3206, 11503, 593, 543, 1336, 15931, 2081, 547, 2569, 3653, 1510, 18731, 2298, 269, 1635, 1620, 519, 1523, 540, 21381, 267, 789, 7691, 602, 8720, 25394, 5265, 1131, 2061, 873, 689, 15018, 856, 3533, 267, 9494, 10475, 15470, 532, 256, 3958, 267, 3079, 540, 9140, 1007, 11256, 911, 903, 267, 789, 32419, 2025, 3283, 543, 4121, 827, 9657, 30867, 1278, 2629, 2460, 540, 2921, 1416, 540, 938, 1604, 269, 1452, 2242, 4547, 4126, 547, 12756, 282, 2705, 267, 1200, 9806, 14201, 1405, 2614, 2943, 547, 2063, 2394, 1732, 2053, 780, 23178, 26449, 1287, 7000, 519, 6228, 540, 1945, 9589, 1572, 1412, 326, 17922, 5351, 10086, 2966, 2523, 585, 4213, 10010, 1282, 9157, 2053, 971, 607, 891, 269, 16792, 585, 621, 5433, 899, 1565, 513, 6216, 20642, 11963, 267, 8506, 9639, 543, 8990, 269, 4014, 11423, 3029, 3884, 1405, 3833, 1187, 899, 11544, 10627, 1562, 267, 12756, 6785, 621, 729, 2556, 547, 1451, 543, 3082, 269, 30027, 3585, 267, 1352, 6854, 1200, 10772, 1930, 585, 26866, 619, 827, 1412, 20791, 1870, 12029, 10086, 16734, 602, 24228, 2724, 19100, 1223, 2285, 1200, 519, 5818, 2877, 547, 4365, 519, 7088, 780, 7661, 267, 519, 1554, 8452, 950, 12756, 1185, 547, 1118, 1200, 3903, 269, 1306, 1352, 5423, 547, 16702, 1200, 19462, 883, 2901, 2619, 267, 10393, 267, 513, 31830, 540, 2842, 25626, 998, 519, 4884, 267, 22502, 4190, 15489, 3762, 10876, 269, 7324, 1346, 11344, 16714, 554, 573, 513, 4063, 7923, 547, 513, 6263, 1612, 4897, 269, 661, 4526, 569, 6679, 621, 267, 12756, 1224, 16965, 267, 834, 2171, 4413, 707, 32727, 696, 1190, 13000, 632, 8765, 256, 7490, 13793, 538, 972, 282, 649, 786, 782, 581, 1394, 4166, 1701, 29110, 3481, 676, 713, 5048, 540, 1489, 267, 12756, 20493, 18390, 267, 6616, 602, 1352, 1590, 3180, 593, 1175, 513, 3787, 3476, 269, 1656, 4352, 1200, 3460, 2509, 13884, 7283, 7334, 267, 1352, 1631, 22234, 1702, 267, 4199, 6888, 267, 543, 6043, 1107, 21644, 2484, 811, 3407, 982, 1022, 14951, 256, 0, 2237, 606, 3872, 1650, 630, 274, 268, 276, 9433, 264, 6098, 693, 1762, 1453, 1210, 2241, 1913, 269, 634, 1650, 1058, 581, 6273, 689, 713, 1257, 6256, 281, 3097, 2108, 13706, 519, 2016, 3510, 543, 1683, 5796, 593, 519, 1655, 1576, 540, 2962, 563, 296, 6415, 513, 1507, 1870, 8227, 543, 594, 6415, 4867, 6849, 2883, 7965, 1813, 547, 519, 6855, 269, 3733, 1870, 814, 711, 1044, 2111, 547, 2490, 513, 7443, 585, 1896, 3275, 267, 4611, 538, 519, 17418, 547, 3382, 1250, 5520, 262, 23269, 543, 1250, 1378, 2713, 9276, 269, 594, 666, 1405, 6430, 2436, 594, 1058, 3136, 547, 13248, 1250, 9806, 883, 519, 1870, 610, 1413, 585, 1776, 1797, 540, 4747, 563, 1103, 713, 3510, 267, 621, 781, 1898, 547, 1101, 6218, 707, 1870, 781, 1279, 3856, 23812, 269, 1403, 519, 6855, 568, 519, 3119, 2014, 540, 707, 2883, 7965, 267, 5402, 5659, 2883, 20327, 543, 2697, 2081, 547, 2759, 3790, 17303, 269, 1403, 519, 2152, 3100, 4514, 543, 811, 8628, 267, 621, 1522, 581, 942, 547, 2015, 824, 1797, 540, 4747, 269, 898, 781, 1271, 711, 547, 8963, 707, 2123, 9806, 267, 865, 2263, 3681, 899, 2229, 6351, 610, 1507, 1870, 12029, 547, 948, 596, 998, 519, 1699, 6433, 14325, 763, 1650, 3085, 1406, 723, 547, 581, 5466, 3388, 538, 519, 6256, 267, 621, 568, 972, 1175, 585, 6667, 563, 763, 1650, 1058, 723, 519, 1739, 2934, 281, 3097, 268, 3163, 5610, 281, 7842, 2596, 2257, 2035, 1369, 519, 1650, 267, 7713, 873, 998, 519, 3197, 262, 9035, 543, 8906, 269, 1280, 1383, 267, 952, 519, 1650, 2882, 513, 6429, 1141, 3197, 616, 3168, 693, 519, 6607, 267, 596, 1223, 723, 873, 4898, 1946, 621, 781, 4544, 543, 2491, 519, 6323, 3297, 538, 3446, 1153, 1377, 563, 268, 15511, 281, 1331, 693, 2547, 835, 5188, 543, 16367, 6643, 563, 268, 17023, 6335, 281, 9959, 609, 513, 6335, 602, 3085, 1405, 8207, 607, 12479, 267, 855, 3762, 513, 2312, 3992, 827, 1272, 543, 2257, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 769, 519, 14297, 2749, 540, 1715, 3840, 267, 972, 5030, 606, 2825, 11653, 3957, 3627, 269, 1261, 729, 13730, 827, 8497, 519, 1604, 543, 4180, 513, 2922, 2104, 585, 5481, 547, 2097, 269, 2290, 1554, 267, 646, 4607, 513, 1289, 689, 519, 2199, 2229, 26655, 1864, 827, 606, 3390, 7282, 519, 2749, 781, 16894, 2126, 2030, 780, 11990, 3533, 8452, 693, 519, 3135, 543, 4718, 602, 519, 2030, 729, 24492, 532, 609, 15860, 21137, 267, 3542, 5024, 7404, 8933, 543, 17116, 519, 7320, 2551, 269, 901, 7012, 1405, 1175, 1022, 5757, 282, 621, 729, 1753, 547, 1082, 13155, 2249, 543, 3177, 6704, 1216, 585, 1896, 2950, 19654, 780, 28494, 15036, 2115, 547, 581, 2944, 5612, 10590, 608, 13094, 26302, 16399, 267, 1471, 4601, 14126, 827, 519, 1761, 1764, 593, 519, 2146, 780, 291, 17827, 547, 1265, 513, 3070, 267, 3627, 4956, 547, 1374, 513, 1007, 1062, 585, 8156, 543, 4227, 3653, 269, 2991, 2395, 540, 23730, 543, 9273, 267, 646, 6069, 2679, 513, 1533, 6361, 7308, 19603, 26868, 19288, 1062, 5827, 540, 6923, 1625, 4328, 519, 1216, 1354, 11166, 269, 1717, 267, 1813, 547, 6578, 10148, 267, 930, 14643, 2818, 6829, 4145, 936, 922, 23250, 780, 308, 526, 2678, 1042, 676, 25949, 267, 3627, 6045, 875, 713, 1935, 1223, 4688, 2724, 1279, 2165, 1247, 849, 5009, 9265, 543, 10357, 2389, 24397, 3255, 269, 6764, 5962, 676, 1010, 15131, 543, 6791, 267, 519, 25650, 8815, 547, 2285, 621, 513, 2119, 269, 8528, 17746, 2315, 3459, 4166, 1310, 267, 2870, 6009, 543, 20993, 519, 2199, 4346, 269, 10738, 3275, 267, 519, 2899, 28067, 23337, 2454, 1858, 9927, 883, 513, 4190, 22153, 31523, 609, 5017, 267, 7786, 267, 543, 12748, 2371, 1107, 782, 2324, 1927, 32069, 547, 2973, 572, 519, 1216, 780, 4913, 267, 711, 3025, 15874, 519, 2242, 269, 10871, 4213, 882, 5050, 593, 10068, 5185, 2591, 607, 3165, 5095, 3576, 3476, 982, 4397, 547, 9156, 689, 3105, 12526, 2157, 269, 2368, 5360, 7134, 547, 519, 25650, 14053, 2962, 269, 7464, 1944, 519, 991, 585, 3666, 1063, 5726, 3646, 543, 2804, 6617, 267, 3627, 6700, 10962, 5841, 9249, 547, 17108, 1065, 641, 1637, 543, 29159, 540, 7286, 1272, 780, 5475, 1454, 4901, 267, 789, 8045, 519, 2856, 269, 26431, 267, 519, 13278, 344, 2872, 6450, 15903, 6793, 982, 2479, 267, 5356, 14167, 1412, 324, 1723, 7888, 262, 16872, 13042, 609, 22783, 10018, 532, 4264, 2853, 269, 3502, 1152, 1705, 713, 4640, 2232, 7525, 4145, 855, 8118, 909, 13395, 6990, 30364, 1312, 519, 1604, 543, 1870, 5411, 780, 1103, 3932, 267, 1373, 606, 2825, 11653, 2501, 609, 1390, 5539, 269, 3414, 10319, 3375, 6194, 543, 5499, 3206, 267, 3627, 7307, 547, 10994, 513, 1713, 1966, 1247, 13326, 6848, 2115, 269, 1635, 7311, 3621, 1702, 21176, 267, 2825, 8030, 666, 1711, 3094, 2914, 514, 3871, 1141, 3425, 8853, 7258, 30436, 8134, 269, 0, 2237, 513, 1650, 602, 7710, 513, 3510, 5594, 1644, 547, 713, 1257, 6256, 912, 2108, 20245, 4702, 3322, 519, 3498, 540, 3621, 543, 4702, 3741, 547, 2087, 543, 2226, 519, 1604, 585, 519, 4027, 540, 1480, 1072, 267, 585, 519, 4027, 540, 2470, 781, 6225, 8134, 267, 543, 585, 1604, 5829, 19349, 540, 519, 2298, 540, 1480, 1272, 269, 898, 2882, 3653, 1216, 2359, 267, 2011, 5533, 1852, 267, 9657, 267, 3653, 12871, 267, 5982, 4027, 267, 4853, 9882, 267, 2825, 6940, 267, 543, 1857, 1072, 2152, 269, 7025, 8030, 960, 5702, 609, 2825, 3744, 547, 1020, 3435, 547, 891, 2152, 267, 1419, 14139, 5499, 4066, 543, 4485, 780, 17780, 593, 519, 1657, 1344, 267, 1018, 568, 513, 2693, 5539, 540, 606, 2825, 11653, 888, 288, 269, 27588, 543, 7598, 6725, 2994, 585, 3039, 2472, 563, 289, 269, 15043, 4507, 585, 2804, 2208, 543, 1646, 563, 290, 269, 27588, 1949, 585, 8156, 543, 4227, 3653, 543, 5533, 563, 291, 269, 18430, 532, 17027, 12220, 543, 7777, 19175, 532, 563, 290, 269, 5071, 514, 10640, 763, 1650, 1058, 11200, 998, 519, 3197, 4205, 267, 3664, 267, 543, 519, 4539, 540, 741, 3527, 269, 13667, 547, 15827, 538, 1455, 2631, 4245, 543, 1514, 10291, 269, 634, 2239, 1058, 8597, 547, 513, 3309, 2085, 1895, 267, 1519, 693, 2547, 835, 5188, 543, 9306, 1312, 2318, 543, 2942, 4093, 563, 2710, 711, 1376, 609, 5929, 5220, 899, 834, 5629, 2390, 513, 942, 2580, 581, 3860, 269, 0, 3848, 476, 1626, 281, 681, 27654, 18200, 326, 1137, 543, 6355, 31701, 14423, 692, 1103, 713, 3184, 267, 649, 786, 5490, 883, 519, 1523, 540, 9258, 6180, 326, 1137, 543, 2263, 875, 4213, 899, 6762, 23992, 631, 1149, 666, 3035, 15325, 543, 20656, 998, 2500, 5718, 543, 7580, 4058, 269, 1284, 786, 849, 4983, 875, 891, 3741, 4019, 547, 16468, 4058, 543, 2883, 6617, 780, 4089, 476, 272, 281, 4197, 681, 27654, 18200, 326, 1137, 692, 288, 9258, 20251, 568, 513, 1826, 540, 10211, 602, 2636, 21427, 9907, 476, 7830, 543, 4587, 547, 6460, 741, 1753, 9698, 883, 6666, 269, 9521, 2757, 6180, 326, 1137, 1141, 10210, 619, 1118, 10865, 11033, 547, 32225, 267, 9258, 6180, 326, 1137, 1450, 10210, 619, 547, 4309, 2834, 11033, 689, 32225, 1759, 593, 519, 1871, 540, 741, 5321, 269, 1452, 12029, 798, 711, 2154, 23231, 618, 2394, 519, 10210, 518, 10523, 267, 23619, 519, 2777, 267, 610, 7575, 856, 18385, 780, 305, 27654, 6180, 326, 1137, 616, 1419, 1031, 676, 13649, 525, 945, 991, 3606, 4747, 2959, 547, 3382, 2713, 9276, 267, 2564, 12014, 267, 610, 7963, 13800, 269, 1717, 267, 789, 2097, 609, 1164, 12375, 267, 1719, 3928, 267, 543, 1950, 3652, 267, 1818, 873, 5078, 1152, 585, 1978, 2043, 269, 4475, 267, 621, 781, 1898, 547, 1174, 519, 5294, 543, 931, 540, 9258, 6180, 326, 1137, 543, 3343, 3318, 5796, 1354, 13197, 971, 3681, 780, 4089, 476, 273, 281, 19793, 1324, 6355, 31701, 14423, 543, 30825, 1464, 692, 23613, 23992, 631, 1149, 3091, 3407, 4030, 883, 8236, 1870, 15325, 543, 20656, 269, 1306, 12006, 538, 519, 6679, 1349, 267, 519, 2754, 7152, 11108, 6043, 543, 1967, 538, 476, 1001, 276, 1813, 547, 1896, 2188, 269, 17616, 267, 922, 4810, 2359, 2319, 5161, 540, 2872, 18884, 945, 4865, 3946, 6823, 1995, 538, 5665, 15183, 543, 10188, 2344, 2591, 269, 19627, 267, 519, 2754, 6212, 593, 4295, 21941, 267, 12077, 4154, 5599, 543, 2504, 267, 799, 6087, 3608, 14305, 540, 2200, 543, 6791, 269, 14936, 267, 6762, 23992, 631, 1149, 15387, 2178, 3666, 9212, 543, 15984, 547, 3280, 9746, 10350, 2853, 267, 4180, 1279, 3856, 6940, 780, 4322, 1655, 2853, 4019, 3564, 519, 5599, 5823, 543, 3180, 1713, 6286, 585, 16468, 4058, 543, 2883, 6617, 269 ]

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

[ 2016, 563, 29753, 606, 10182, 540, 2295, 325, 3881, 543, 25442, 6182, 520, 3363, 585, 782, 707, 1699, 25736, 25793, 10449, 519, 10700, 1379, 585, 13844, 1082, 811, 563, 763, 4090, 596, 12687, 909, 538, 519, 6640, 267, 2161, 513, 2370, 11755, 267, 4758, 7064, 547, 1776, 1272, 2016, 547, 596, 563, 2691, 596, 2285, 7064, 1142, 1554, 267, 596, 786, 1294, 875, 1373, 18507, 585, 3388, 596, 723, 2221, 666, 1711, 1390, 2242, 538, 707, 1272, 563, 763, 1379, 540, 2048, 14188, 596, 20371, 2108, 14188, 596, 892, 1107, 891, 1079, 2241, 1913, 666, 1689, 835, 779, 1272, 563, 4415, 519, 2042, 602, 649, 949, 3068, 1169, 1554, 538, 938, 2729, 267, 891, 1079, 2370, 1913, 616, 1419, 519, 1034, 20495, 1913, 1142, 1554, 563, 2171, 2141, 1294, 519, 10782, 538, 1272, 602, 568, 1946, 649, 2760, 1831, 5963, 6126, 563, 22091, 7675, 707, 14696, 610, 1256, 1373, 9684, 995, 827, 519, 1919, 596, 723, 568, 2731, 1271, 563, 1607, 786, 1689, 707, 3003, 1272, 1107, 519, 1259, 596, 1294, 1272, 267, 519, 1259, 596, 6023, 707, 2042, 543, 519, 1259, 596, 11883, 609, 519, 3232, 2591, 563, 4537, 14823, 707, 1445, 2509, 11606, 454, 294, 7806, 3363, 10593, 707, 1445, 689, 519, 1919, 596, 3668, 538, 1272, 2509, 1390, 11606, 602, 568, 1631, 1459, 563, 20329, 1670, 543, 24040, 1382, 814, 3254, 519, 1034, 5863, 9283, 538, 1272, 4547, 676, 519, 2259, 540, 14696, 563, 18455, 9684, 995, 543, 19825, 1272, 543, 519, 1919, 1272, 3091, 596, 2306, 721, 811, 14388, 543, 1256, 18668, 563, 4910, 559, 1304, 538, 519, 2631, 602, 1100, 2339, 1018, 2591, 543, 7965, 649, 1995, 267, 649, 917, 602, 1272, 568, 711, 16970, 547, 2285, 721, 1945, 602, 649, 666, 1406, 7703, 563, 2005, 3947, 721, 4222, 609, 519, 3661, 543, 519, 14820, 602, 1100, 2339, 875, 1082, 2042, 649, 949, 7237, 267, 519, 25736, 649, 4309, 616, 1454, 3152, 982, 873, 563, 294, 7806, 3363, 18791, 3347, 267, 6971, 2566, 543, 10607, 1072, 563, 5629, 596, 1020, 606, 10182, 540, 513, 25442, 14696, 585, 782, 519, 26460, 596, 4309, 267, 713, 25793, 10449, 519, 1379, 585, 596, 547, 4309, 1256, 811, 982, 596, 2907, 723, 563, 16352, 519, 4743, 540, 14696, 9247, 1797, 2921, 4986, 585, 11292, 543, 4758, 7064, 827, 519, 11606, 538, 1272, 602, 596, 723, 5833, 563, 294, 7806, 3363, 13352, 538, 609, 11606, 538, 1585, 3344, 563, 2026, 513, 4583, 5856, 3081, 2676, 28317, 2603, 540, 1004, 616, 16290, 538, 519, 1533, 540, 6710, 676, 2348, 3668, 540, 14696, 3034, 6781, 1495, 766, 2141, 4422, 609, 14696, 1317, 649, 666, 2141, 4482, 1390, 5763, 607, 1134, 607, 11606, 609, 519, 1379, 540, 14696, 563, 1432, 513, 726, 619, 340, 2801, 547, 1265, 2576, 945, 14659, 998, 519, 2152, 454, 14188, 596, 2098, 776, 320, 267, 594, 1265, 6182, 520, 3363, 568, 835, 540, 519, 1034, 10575, 14823, 543, 3860, 2853, 602, 649, 666, 946, 547, 1689, 519, 4287, 540, 938, 2729, 269, 4634, 950, 938, 1272, 7959, 922, 2469, 24076, 649, 666, 581, 18507, 585, 2348, 602, 1483, 5314, 543, 649, 723, 3903, 547, 1689, 938, 4093, 269, 0, 30942, 16821, 568, 513, 1804, 1893, 2203, 2919, 676, 7046, 9590, 267, 1759, 593, 519, 31744, 630, 17653, 894, 2776, 2389, 11712, 17992, 518, 264, 6189, 269, 898, 3096, 3684, 1565, 6620, 547, 5352, 1480, 6438, 6114, 547, 1257, 2861, 14511, 269, 26243, 267, 621, 568, 606, 5841, 4987, 1893, 2203, 602, 666, 5352, 17396, 543, 2796, 1302, 4143, 6114, 547, 1585, 11378, 269, 634, 2203, 729, 8036, 593, 513, 7372, 10471, 540, 1257, 689, 519, 4950, 543, 568, 5827, 540, 1620, 2067, 1893, 543, 10451, 6114, 538, 513, 3099, 540, 8658, 267, 689, 16460, 31851, 2055, 547, 2502, 538, 811, 1950, 7391, 269, 19208, 814, 3875, 3156, 267, 689, 6075, 3028, 26962, 547, 1893, 8144, 2645, 543, 811, 563, 1432, 568, 19208, 543, 875, 1281, 621, 960, 888, 30942, 16821, 568, 513, 3684, 1565, 2203, 602, 814, 1044, 8036, 593, 513, 7372, 24402, 540, 1257, 689, 519, 4950, 269, 898, 3096, 713, 1239, 547, 5352, 6114, 547, 2067, 1893, 12987, 267, 971, 607, 2055, 610, 6898, 563, 4263, 922, 4295, 267, 19208, 1568, 676, 17782, 519, 1034, 2693, 1985, 2262, 538, 513, 5311, 540, 1257, 269, 898, 1281, 713, 676, 7421, 519, 3270, 543, 3347, 1063, 1913, 538, 922, 2866, 1239, 269, 901, 2636, 621, 547, 5352, 6114, 602, 616, 1419, 1360, 2147, 547, 1346, 513, 1480, 1522, 1683, 563, 4692, 596, 2491, 875, 19208, 3252, 888, 2414, 946, 19208, 267, 596, 3274, 991, 547, 1826, 538, 513, 5401, 610, 2243, 543, 7227, 585, 621, 547, 5352, 513, 3210, 269, 19208, 666, 581, 15600, 998, 513, 3099, 540, 17103, 267, 1519, 1357, 2861, 26962, 267, 5985, 8924, 267, 543, 5639, 20843, 563, 2691, 596, 1826, 538, 513, 5401, 267, 19208, 23607, 519, 1257, 543, 3096, 922, 3684, 1565, 6620, 547, 5352, 513, 3210, 269, 634, 3210, 568, 1759, 593, 519, 2796, 540, 519, 5401, 543, 519, 3270, 621, 814, 4121, 689, 922, 2866, 1239, 563, 1432, 616, 930, 2081, 547, 2170, 609, 19208, 888, 2467, 616, 1082, 2081, 547, 2170, 609, 19208, 267, 4470, 593, 707, 7375, 543, 2115, 269, 2368, 540, 519, 1034, 2442, 3681, 1331, 912, 268, 5680, 2861, 26962, 281, 1703, 616, 1082, 1357, 2861, 26962, 602, 946, 19208, 547, 5352, 6114, 547, 3593, 12987, 269, 1452, 26962, 666, 581, 15600, 689, 513, 3099, 540, 3457, 543, 5867, 267, 1519, 18376, 543, 5985, 26292, 563, 268, 16353, 8924, 281, 2368, 5985, 8924, 267, 971, 607, 5691, 20843, 610, 20261, 8924, 267, 946, 19208, 547, 5352, 6114, 269, 1452, 8924, 666, 581, 513, 10375, 1259, 547, 1569, 19208, 593, 519, 979, 563, 268, 20429, 20843, 281, 19208, 666, 581, 7471, 609, 5639, 20843, 267, 971, 607, 8835, 779, 5981, 320, 610, 5616, 19608, 269, 901, 2636, 3755, 547, 1569, 19208, 1210, 5639, 12981, 267, 799, 666, 581, 3730, 538, 3871, 1141, 17511, 568, 2352, 610, 28842, 1304, 563, 1432, 616, 519, 2934, 540, 19208, 543, 875, 798, 594, 1569, 873, 888, 30942, 16821, 814, 513, 2647, 2039, 540, 2934, 602, 666, 581, 15600, 998, 1585, 17103, 269, 2368, 540, 519, 1034, 2442, 2934, 1331, 912, 268, 7849, 1893, 4393, 281, 19208, 568, 2966, 547, 1174, 543, 4431, 547, 2067, 1893, 12987, 267, 1818, 621, 513, 3532, 1907, 585, 513, 2647, 2039, 540, 3156, 563, 268, 9608, 1436, 281, 19208, 666, 581, 8036, 593, 1808, 14449, 610, 3358, 547, 1808, 3156, 267, 3850, 621, 547, 1683, 811, 10531, 6114, 563, 268, 5564, 13308, 1489, 281, 19208, 666, 581, 8036, 593, 1257, 538, 2789, 4654, 267, 3850, 621, 547, 5352, 6114, 538, 513, 2647, 2039, 540, 4654, 563, 268, 12745, 4656, 281, 19208, 568, 2111, 547, 1491, 883, 2272, 519, 2796, 540, 513, 6643, 610, 5401, 950, 10451, 6114, 267, 799, 666, 1291, 547, 811, 4977, 543, 4143, 6114, 563, 14454, 267, 19208, 568, 513, 3532, 1907, 602, 666, 581, 1031, 538, 1082, 1114, 2081, 269, 6787, 596, 2461, 3168, 547, 1628, 513, 30292, 267, 1020, 513, 5691, 13930, 267, 610, 3274, 723, 1187, 609, 2067, 1893, 4393, 267, 19208, 568, 606, 5140, 3903, 269, 0, 5226, 924, 513, 1279, 942, 3516, 267, 938, 11937, 5828, 741, 3007, 547, 519, 9589, 7067, 3601, 540, 9932, 267, 799, 723, 513, 6225, 1198, 593, 519, 1560, 540, 1453, 269, 898, 4679, 12046, 267, 2337, 547, 11883, 609, 7929, 3676, 538, 519, 4411, 4005, 269, 769, 1840, 267, 621, 568, 1031, 711, 1152, 585, 897, 1091, 267, 855, 849, 585, 513, 1297, 540, 824, 3676, 269, 1809, 267, 540, 1576, 267, 782, 3237, 616, 1360, 8731, 7757, 676, 519, 2243, 540, 693, 1018, 2085, 789, 666, 2285, 9932, 547, 1453, 267, 1317, 621, 568, 513, 9425, 2178, 6784, 523, 269, 769, 6476, 609, 4006, 267, 621, 1869, 814, 513, 1297, 540, 5383, 269, 898, 814, 513, 1970, 1543, 540, 7319, 13427, 267, 799, 568, 3730, 585, 519, 1560, 267, 543, 513, 1804, 2179, 540, 3362, 7558, 1043, 11950, 267, 6719, 676, 7280, 543, 535, 28229, 269, 634, 6644, 540, 12963, 2103, 568, 3833, 28547, 827, 875, 1082, 1453, 666, 723, 9932, 269, 9861, 606, 6784, 523, 267, 621, 666, 581, 5906, 585, 513, 1507, 1126, 781, 1560, 269, 4475, 267, 621, 568, 5227, 711, 547, 1491, 4220, 2394, 519, 2085, 540, 835, 269, 901, 568, 2523, 3020, 952, 519, 4816, 568, 13027, 676, 3294, 563, 3849, 6254, 338, 540, 519, 2126, 609, 713, 3730, 6219, 267, 609, 782, 1813, 2463, 547, 713, 1587, 267, 786, 849, 2626, 707, 2243, 827, 519, 2085, 693, 799, 596, 666, 2285, 9932, 547, 1453, 267, 609, 513, 16252, 711, 547, 19060, 269, 634, 1655, 2085, 568, 827, 1079, 1296, 2025, 269, 11947, 7779, 9932, 267, 950, 1031, 7157, 267, 666, 723, 513, 6225, 1198, 593, 519, 1453, 781, 8401, 1062, 269, 898, 568, 4502, 19551, 827, 519, 2953, 18262, 585, 1453, 269, 634, 2179, 540, 3232, 27108, 585, 513, 1126, 568, 2808, 3368, 513, 23188, 563, 763, 5888, 540, 9932, 3568, 930, 7777, 20919, 281, 13058, 267, 7601, 267, 22752, 267, 4401, 267, 11379, 267, 9770, 267, 7513, 269, 898, 1058, 581, 7074, 602, 519, 4195, 1587, 568, 3160, 547, 519, 5888, 540, 1480, 1973, 538, 2474, 540, 519, 5223, 540, 7777, 6878, 269, 898, 849, 3568, 930, 5214, 7408, 543, 8324, 540, 1895, 645, 602, 616, 3730, 585, 519, 1560, 269, 634, 6644, 540, 1082, 3237, 827, 2436, 621, 568, 2009, 547, 2285, 9932, 547, 513, 1126, 267, 1310, 5432, 1436, 609, 922, 5888, 267, 786, 4440, 581, 2318, 269, 634, 1034, 1271, 3364, 568, 547, 1935, 713, 609, 2407, 5539, 563, 5978, 22594, 1705, 711, 3226, 4898, 827, 609, 1018, 2085, 666, 594, 2285, 9932, 547, 1453, 267, 789, 1175, 1019, 5529, 519, 31390, 8595, 513, 2370, 543, 5795, 621, 547, 519, 4816, 269, 634, 7274, 540, 519, 1587, 267, 540, 1576, 267, 568, 711, 865, 1804, 269, 1656, 519, 5567, 5833, 676, 519, 1126, 781, 1560, 616, 26837, 4192, 269, 6969, 2469, 547, 5127, 267, 1453, 2141, 1743, 1678, 5144, 609, 9932, 267, 2523, 952, 519, 1126, 814, 513, 1964, 1652, 3207, 269, 3689, 540, 782, 267, 621, 1058, 581, 6956, 602, 621, 568, 1360, 2352, 547, 1265, 519, 1655, 543, 1034, 3730, 9932, 593, 4558, 21684, 269, 634, 2179, 540, 1585, 23606, 267, 3006, 1256, 1360, 5906, 267, 666, 581, 267, 547, 2322, 621, 7646, 569, 267, 1390, 269, 4475, 267, 585, 707, 4816, 543, 585, 3054, 267, 2119, 547, 4444, 9932, 2047, 689, 13520, 26283, 945, 723, 8810, 2933, 9797, 269, 11109, 1500, 2386, 540, 519, 1164, 2298, 540, 519, 1587, 543, 602, 519, 4816, 1281, 711, 723, 606, 13027, 5114, 267, 596, 666, 6338, 713, 8748, 2067, 1587, 607, 513, 14911, 1426, 563, 2171, 4126, 602, 1310, 2542, 713, 2376, 267, 596, 723, 6956, 689, 1018, 2085, 596, 666, 2285, 9932, 547, 1453, 269, 8307, 513, 11285, 666, 2303, 519, 6099, 18262, 538, 1142, 1367, 2013, 2336, 763, 5888, 540, 2067, 9932, 3568, 827, 476, 1911, 3730, 2609, 2556, 585, 519, 1646, 540, 519, 1126, 781, 1560, 269, 11635, 267, 16903, 267, 555, 3554, 710, 267, 7513, 267, 25558, 2940, 267, 8324, 540, 1895, 645, 616, 1271, 585, 3214, 269, 898, 568, 711, 9670, 602, 3237, 6430, 547, 1331, 9932, 538, 519, 3232, 2732, 540, 1453, 269, 3509, 1004, 1589, 602, 6653, 13520, 22060, 786, 581, 513, 3730, 1521, 585, 9002, 269, 2913, 781, 1865, 519, 2640, 543, 28746, 540, 971, 513, 3375, 563, 2710, 4701, 616, 796, 29434, 748, 281, 621, 568, 7543, 547, 2285, 9932, 547, 1453, 896, 835, 1032, 2025, 2336, 6944, 571, 785, 10716, 616, 1759, 593, 513, 1164, 1981, 540, 11959, 543, 3968, 609, 7762, 592, 1143, 269, 769, 1840, 267, 9932, 3568, 535, 28229, 267, 543, 4061, 267, 950, 1210, 513, 6653, 1587, 267, 12256, 949, 723, 513, 32739, 547, 3987, 563, 300, 1278, 338, 945, 616, 8808, 513, 1126, 1058, 849, 3970, 519, 946, 540, 26265, 538, 1426, 267, 1317, 519, 4816, 23465, 547, 782, 519, 3334, 602, 4283, 1010, 1560, 609, 1010, 3993, 781, 5144, 563, 19675, 594, 2285, 9932, 547, 1453, 896, 476, 274, 1296, 2025, 286, 2107, 1331, 621, 538, 1426, 1100, 4505, 982, 476, 277, 1296, 286, 12207, 723, 1336, 602, 519, 946, 540, 9932, 693, 606, 2038, 2085, 568, 3730, 267, 855, 621, 568, 1271 ]

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

[ 538, 519, 2104, 269, 4746, 267, 952, 596, 1131, 581, 5461, 538, 5885, 803, 547, 1832, 713, 5816, 4881, 267, 9140, 519, 2835, 547, 2689, 1934, 267, 543, 7727, 547, 1118, 519, 18789, 7405, 267, 585, 1383, 267, 594, 1131, 581, 11613, 30590, 952, 596, 1131, 2015, 9140, 803, 513, 6995, 1210, 519, 1739, 3095, 281, 16179, 2725, 589, 24334, 11289, 596, 256, 2336, 32306, 513, 31400, 0, 272, 476, 275, 2764, 536, 843, 518, 267, 535, 582, 690, 571, 325, 1512, 522, 577, 14745, 518, 1199, 3026, 583, 1258, 910, 5192, 1399, 454, 23409, 3693, 10282, 538, 23851, 3595, 27750, 910, 8331, 270, 4696, 306, 454, 320, 264, 631, 1961, 330, 2643, 536, 264, 1160, 2023, 524, 264, 2311, 558, 330, 7564, 337, 3534, 546, 264, 14299, 3584, 3584, 7162, 506, 26498, 7162, 506, 26498, 32172, 5936, 486, 32172, 5936, 486, 6475, 6475, 23442, 23442, 23377, 23377, 7162, 485, 23547, 24691, 21005, 7162, 485, 23547, 24691, 21005, 8906, 1995, 610, 32172, 5936, 486, 23517, 7162, 353, 26498, 7162, 363, 2633, 373, 14098, 479, 7162, 359, 18892, 32172, 28440, 14098, 364, 17775, 7162, 359, 14098, 372, 11046, 21999, 17775, 7162, 359, 14098, 372, 32172, 26498, 23371, 11111, 32172, 5936, 486, 9211, 22571, 543, 25268, 620, 2431, 865, 29334, 2633, 361, 28637, 17775, 7162, 359, 2633, 373, 2633, 366, 17775, 649, 7439, 18126, 594, 547, 23442, 568, 1614, 6120, 12541, 657, 5532, 269, 2107, 602, 519, 23377, 568, 1079, 22726, 3808, 547, 1614, 6120, 12541, 657, 32372, 23442, 1040, 9747, 519, 23442, 267, 6606, 269, 634, 1863, 769, 12498, 9178, 519, 1297, 540, 7576, 976, 630, 2889, 27971, 543, 25268, 264, 3788, 3586, 29530, 14263, 9178, 3217, 1747, 950, 513, 23377, 568, 9927, 883, 513, 23442, 609, 570, 341, 18033, 9232, 337, 7238, 6767, 892, 22011, 10719, 7132, 679, 9232, 23950, 7238, 333, 892, 4550, 268, 630, 718, 1206, 18033, 679, 23442, 1070, 1199, 7663, 2006, 25419, 339, 838, 4883, 476, 272, 22397, 482, 273, 7132, 26725, 18033, 535, 582, 517, 518, 1199, 544, 1824, 3430, 838, 4883, 630, 22144, 272, 264, 536, 843, 541, 679, 23377, 269, 674, 23152, 1696, 339, 1250, 1188, 564, 5398, 518, 520, 281, 476, 1708, 272, 268, 6734, 268, 6349, 16903, 476, 3451, 22571, 25268, 9211, 563, 303, 1157, 519, 4484, 596, 1589, 568, 2953, 269, 476, 273, 546, 26196, 6822, 534, 5788, 634, 1648, 5950, 950, 835, 23442, 538, 513, 23442, 3491, 2023, 8424, 17838, 883, 513, 23377, 568, 1287, 630, 272, 266, 323, 6629, 336, 1040, 634, 1648, 5950, 950, 513, 23377, 538, 513, 23377, 16250, 583, 1258, 6292, 17838, 883, 513, 23442, 568, 14354, 547, 7117, 11054, 6629, 336, 269, 476, 1001, 276, 268, 1321, 268, 4029, 5788, 5019, 976, 616, 9797, 9901, 543, 25268, 616, 9243, 6466, 9211, 616, 11874, 9901, 269, 1548, 616, 5019, 976, 269, 5019, 976, 616, 1336, 538, 519, 13540, 540, 519, 11046, 267, 543, 789, 21078, 1927, 609, 25268, 269, 634, 23442, 729, 4362, 676, 2423, 333, 652, 681, 9801, 5112, 267, 945, 10645, 602, 1034, 540, 519, 2230, 540, 606, 11046, 729, 8900, 267, 543, 519, 2527, 729, 10704, 1152, 538, 513, 1507, 10053, 1858, 1369, 606, 11046, 1572, 519, 13540, 563, 4263, 558, 268, 522, 577, 737, 7564, 337, 333, 325, 903, 1731, 910, 674, 1679, 868, 454, 763, 7464, 5600, 342, 1161, 918, 5942, 8058, 256, 1975, 11253, 563, 928, 583, 1258, 679, 11090, 11530, 910, 2672, 2946, 4777, 529, 6874, 698, 11530, 546, 2109, 32666, 3794, 657, 2041, 454, 4263, 1682, 540, 782, 519, 2609, 2270, 25268, 4849, 7250, 11046, 799, 1281, 711, 2270, 1022, 23377, 269, 3026, 583, 1258, 568, 513, 1016, 30061, 9325, 602, 568, 711, 1336, 538, 7250, 563, 4263, 1682, 2141, 723, 606, 3160, 1297, 540, 22571, 543, 9211, 267, 543, 519, 1297, 540, 22571, 543, 25268, 568, 2356, 519, 1482, 607, 1134, 269, 17006, 513, 23442, 547, 606, 11046, 2306, 513, 1007, 3693, 267, 1247, 4946, 513, 23377, 2306, 606, 24236, 267, 610, 18219, 4528, 454, 10468, 583, 6425, 9178, 883, 513, 23442, 267, 606, 6475, 267, 543, 606, 6475, 15178, 1884, 710, 583, 337, 3626, 269, 901, 9178, 23131, 676, 519, 630, 2865, 569, 264, 6956, 1184, 540, 519, 4617, 5872, 267, 676, 5385, 540, 513, 5691, 654, 268, 536, 657, 517, 1063, 513, 1524, 15178, 844, 1046, 538, 519, 23377, 630, 577, 4474, 621, 883, 606, 909, 15178, 844, 1046, 1070, 543, 519, 6475, 543, 1884, 710, 583, 337, 3626, 269, 5047, 267, 715, 6717, 301, 779, 4791, 2259, 23988, 593, 834, 291, 12938, 1993, 756, 4592, 541, 19265, 1486, 21310, 753, 257, 630, 309, 619, 542, 476, 272, 269, 1708, 271, 264, 1281, 711, 2446, 23442, 610, 23377, 11237, 3797, 607, 513, 9354, 4781, 269, 589, 916, 321, 2795, 630, 1001, 273, 264, 4080, 8650, 6757, 885, 543, 16861, 4093, 585, 12963, 2550, 609, 3134, 754, 2096, 5557, 540, 519, 12636, 5701, 609, 23442, 11237, 3797, 693, 519, 11022, 18722, 9435, 4741, 269, 769, 922, 6935, 547, 10570, 2497, 267, 23442, 4249, 519, 1271, 1909, 267, 11735, 689, 6475, 543, 23377, 563, 20597, 520, 974, 18033, 614, 321, 7564, 2590, 476, 1708, 272, 3059, 1786, 341, 331, 18033, 6767, 454, 763, 6475, 568, 2877, 547, 1832, 519, 23442, 7923, 269, 634, 23377, 538, 519, 13540, 950, 851, 540, 519, 1898, 10570, 2497, 630, 2254, 519, 3063, 25268, 264, 621, 630, 1492, 23377, 264, 568, 9247, 513, 4276, 540, 606, 6418, 6475, 609, 476, 273, 15231, 22571, 8108, 9247, 513, 11109, 3670, 22571, 2306, 519, 11046, 3327, 563, 288, 23377, 568, 835, 540, 519, 1016, 30061, 5536, 602, 1118, 909, 2339, 269, 634, 23377, 814, 1100, 3167, 5279, 543, 513, 1964, 2527, 3160, 547, 476, 272, 269, 6858, 275, 11152, 6398, 476, 1015, 6567, 2767, 4846, 2443, 5768, 3373, 3152, 982, 602, 540, 519, 23442, 855, 5176, 476, 8146, 280, 2053, 3152, 982, 602, 540, 519, 6475, 563, 30681, 585, 338, 2006, 3068, 1504, 454, 327, 584, 16073, 553, 535, 329, 7564, 31014, 330, 2643, 320, 454, 327, 2313, 18033, 961, 11789, 338, 7564, 961, 12921, 777, 564, 1474, 332, 1301, 7238, 974, 476, 1708, 272, 454, 333, 7564, 337, 1236, 320, 812, 676, 3279, 11489, 642, 5793, 323, 7564, 1188, 3611, 636, 454, 3667, 534, 26087, 1558, 617, 26627, 338, 1846, 454, 268, 4469, 1460, 24650, 7658, 325, 517, 11133, 1067, 632, 28852, 1633, 454, 268, 27450, 19210, 454, 268, 631, 1731, 6130, 11097, 523, 454, 268, 17658, 520, 1128, 8183, 1527, 559, 454, 268, 1773, 333, 476, 1911, 454, 268, 918, 2632, 752, 339, 579, 828, 11634, 933, 714, 454, 301, 8123, 16513, 3026, 583, 1258, 12601, 302, 15107, 3279, 29465, 518, 5082, 1258, 910, 530, 24513, 548, 269, 572, 454, 763, 6475, 568, 2877, 547, 1832, 519, 23442, 7923, 269, 0, 7072, 547, 1977, 16381, 18409, 6833, 13205, 5288, 269, 1977, 18409, 625, 454, 13563, 16381, 18409, 6833, 13205, 630, 4338, 6630, 338, 264, 543, 1977, 18409, 625, 616, 1079, 3982, 569, 1114, 14981, 540, 5243, 602, 616, 4122, 19451, 585, 835, 1776, 269, 634, 6673, 6630, 267, 610, 16381, 18409, 267, 814, 1044, 1472, 585, 513, 14320, 3476, 942, 982, 621, 779, 4439, 569, 11218, 543, 568, 1634, 585, 922, 18942, 1628, 543, 2178, 14017, 547, 922, 5411, 269, 4595, 519, 476, 866, 628, 2540, 267, 519, 16381, 18409, 9742, 814, 1044, 26870, 28729, 609, 519, 3483, 540, 1373, 15274, 607, 1134, 607, 2324, 2831, 269, 901, 2813, 513, 9742, 799, 568, 15754, 622, 267, 10995, 543, 5827, 540, 7900, 538, 1082, 2127, 971, 607, 22231, 19194, 267, 1200, 3429, 13184, 543, 1256, 3406, 1299, 15063, 4247, 563, 4002, 519, 824, 1688, 267, 1977, 10089, 671, 9233, 941, 12090, 538, 519, 476, 2735, 271, 338, 609, 5631, 2147, 2934, 899, 741, 968, 32654, 514, 892, 1107, 1490, 26295, 10359, 15437, 543, 10053, 6091, 1851, 891, 10486, 282, 2705, 972, 568, 835, 1271, 3017, 1107, 1977, 18409, 625, 723, 513, 1454, 1608, 1067, 29916, 3379, 547, 741, 6673, 6630, 14077, 269, 4634, 1498, 789, 1419, 1397, 4191, 540, 10332, 1145, 950, 621, 2501, 547, 4730, 30321, 610, 31325, 1524, 21046, 267, 789, 10355, 4159, 14699, 4724, 3425, 610, 824, 2831, 538, 2489, 269, 1358, 723, 606, 11235, 1145, 547, 5225, 741, 18544, 2864, 982, 581, 2036, 894, 1818, 873, 1390, 1920, 10130, 945, 616, 5140, 1472, 1453, 563, 14454, 1312, 14981, 723, 2189, 4162, 602, 666, 1118, 2901, 606, 4998, 4620, 4470, 593, 707, 13283, 267, 6197, 2115, 607, 1134, 607, 1367, 29525, 540, 519, 2915, 3294, 256, 5637, 2154, 1697, 23462, 2038, 593, 1282, 21937, 3125, 865, 621, 779, 1271, 547, 6108, 2614, 2298, 942, 609, 2901, 1826, 7488, 540, 707, 3853, 585, 2348, 835, 1107, 1317, 6038, 1142, 19262, 547, 1745, 6068, 8449, 2336, 8139, 519, 8447, 20212, 9737, 1452, 6601, 2644, 454, 17843, 2915, 14981, 723, 1082, 2168, 3604, 269, 4197, 891, 6645, 596, 513, 1390, 4308, 827, 1142, 9742, 779, 8129, 543, 3483, 269, 2913, 779, 723, 513, 2673, 1413, 693, 930, 540, 891, 2168, 3604, 543, 3605, 1018, 789, 666, 2995, 721, 563, 763, 1101, 3364, 547, 4063, 568, 519, 3337, 540, 519, 2915, 779, 1560, 267, 799, 568, 1419, 1644, 547, 922, 3483, 269, 17268, 26870, 585, 2324, 538, 4610, 267, 899, 13265, 323, 9233, 543, 12418, 5323, 951, 267, 4043, 547, 581, 3476, 538, 519, 7953, 609, 811, 16070, 5546, 602, 1450, 873, 3152, 3432, 543, 22231, 1472, 9465, 593, 519, 2666, 3379, 547, 18219, 5243, 2966, 585, 4222, 971, 607, 9856, 5243, 610, 1256, 8165, 5243, 899, 15958, 14554, 799, 616, 3006, 1634, 607, 2048, 321, 4459, 11057, 685, 1813, 741, 5230, 16757, 512, 832, 657, 3710, 585, 1379, 563, 23917, 849, 9775, 4922, 1063, 14981, 267, 609, 1082, 8151, 689, 1507, 11442, 14981, 899, 932, 8811, 340, 24660, 553, 998, 5420, 21092, 10122, 5243, 971, 607, 2142, 24346, 610, 9721, 16423, 327, 2432, 267, 782, 519, 1259, 909, 547, 5458, 631, 770, 858, 1826, 14981, 269, 12025, 5540, 711, 1152, 875, 1454, 2230, 707, 4620, 786, 1491, 909, 855, 849, 1141, 596, 666, 1491, 621, 856, 9108, 282, 3677, 14981, 949, 1831, 13943, 610, 1253, 5962, 593, 16081, 6244, 1857, 3560, 6466, 4130, 3283, 991, 1447, 3635, 855, 949, 849, 3668, 1978, 2149, 26756, 1459, 538, 8273, 13413, 1107, 1818, 873, 811, 7925, 13964, 855, 4443, 547, 4383, 1369, 513, 1753, 1604, 563, 8448, 2168, 4162, 1331, 10359, 2010, 267, 1274, 5546, 543, 2766, 3259, 799, 616, 782, 1271, 9270, 950, 7446, 513, 9742, 14018, 547, 707, 6197, 1107, 1279, 25151, 666, 581, 811, 1164, 5826, 982, 5347, 3283, 585, 1383, 15029, 1225, 569, 21217, 948, 1202, 3634, 1996, 4411, 5162, 4365, 950, 6854, 3544, 269, 2423, 2450, 568, 5462, 5097, 676, 1367, 11976, 855, 666, 2039, 689, 2110, 804, 5792, 10772, 998, 1166, 641, 6244, 6163, 3335, 2404, 609, 554, 895, 14981, 1524, 6905, 8677, 1336, 593, 1592, 839, 4535, 609, 1166, 641, 6853, 25437, 2147, 1346, 2938, 645, 747, 517, 2605, 1047, 610, 670, 24170, 3150, 2010, 1107, 782, 540, 799, 3947, 5411, 606, 2856, 1055, 2009, 25462, 4170, 1354, 22867, 942, 2200, 883, 1022, 6718, 3375, 4586, 7661, 5639, 2504, 1063, 1142, 1826, 4268, 4922, 1107, 586, 6235, 623, 22701, 525, 525, 1373, 3833, 1114, 689, 2620, 11563, 344, 15922, 540, 26870, 338, 26870, 585, 1368, 526, 690, 960, 971, 607, 6997, 2784, 832, 1700, 4758, 10881, 547, 741, 3169, 9837, 946, 630, 2041, 3222, 2705, 972, 616, 17756, 256, 1070, 1306, 606, 1383, 4173, 3429, 5243, 1419, 5827, 13626, 532, 6266, 1577, 1004, 11975, 917, 789, 1810, 1406, 1611, 1870, 256, 15029, 26982, 2678, 22272, 27594, 8747, 957, 2285, 8806, 25887, 2864, 1287, 2407, 27762, 32302, 952, 2838, 476, 2336, 13295, 538, 5758, 1620, 2168, 3017, 1063, 1585, 14797, 2636, 721, 2744, 4514, 1702, 20553, 741, 1686, 2073, 4052, 946, 1604, 3976, 29000, 1318, 3903, 938, 1880, 2115, 2436, 3274, 5329, 13959, 5150, 337, 1753, 4677, 1101, 3478, 3238, 3742, 5026, 6735, 454, 18698, 19884, 18567, 540, 5637, 6601, 2644, 454, 2691, 6236, 519, 8965, 4162, 540, 1312, 14981, 267, 621, 568, 1271, 547, 2015, 741, 10080, 269, 634, 8241, 2701, 23311, 568, 606, 3742, 543, 10995, 9742, 26870, 4481, 585, 1200, 3429, 269, 1261, 568, 10332, 543, 18906, 633, 547, 1010, 1604, 267, 609, 513, 10121, 267, 8825, 2470, 269, 1261, 14560, 1480, 31070, 543, 3029, 2178, 7554, 3533, 609, 1010, 5411, 269, 769, 1840, 267 ]

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

[ 2188, 12018, 873, 269, 1284, 786, 2263, 875, 24917, 2096, 3019, 7552, 7426, 666, 3927, 1305, 5777, 585, 3309, 6990, 1247, 21924, 12434, 543, 4509, 6075, 9547, 780, 4089, 476, 280, 269, 272, 281, 4197, 12313, 10318, 1588, 11790, 692, 6524, 11362, 883, 1808, 14499, 2994, 267, 621, 568, 1898, 547, 1174, 2188, 7133, 3902, 8990, 538, 606, 3486, 4259, 1384, 320, 264, 8779, 12856, 281, 14992, 991, 547, 2015, 3790, 2404, 609, 6721, 5370, 610, 2533, 267, 6283, 9276, 267, 9204, 267, 29388, 267, 543, 824, 10997, 950, 8159, 5777, 13383, 269, 1452, 3790, 949, 4268, 3648, 1063, 2477, 1813, 547, 3604, 538, 2804, 2175, 267, 6042, 267, 543, 2845, 6750, 2591, 780, 321, 264, 24637, 18963, 281, 19901, 7375, 267, 4747, 2157, 267, 2686, 8155, 267, 543, 6735, 1369, 3077, 6990, 3310, 3747, 3270, 269, 24371, 1058, 5659, 2199, 7082, 2623, 547, 20688, 2472, 543, 5777, 9935, 780, 322, 264, 4354, 6275, 12071, 9822, 725, 281, 16510, 3928, 1404, 513, 1713, 1909, 538, 3486, 14499, 269, 589, 2178, 1753, 9304, 3448, 547, 4914, 19728, 1223, 1291, 547, 2539, 13143, 5777, 267, 6466, 513, 4617, 1753, 9304, 1522, 28173, 2362, 13143, 5777, 780, 323, 264, 13751, 22769, 281, 22749, 20818, 9993, 593, 14499, 2853, 630, 324, 3052, 1421, 5934, 759, 1446, 3902, 5826, 1040, 20871, 1590, 15666, 547, 971, 3652, 547, 2057, 3656, 8374, 780, 4089, 476, 280, 269, 273, 281, 5871, 4139, 623, 878, 532, 11150, 692, 5629, 5432, 609, 1883, 21876, 267, 1577, 721, 4983, 1455, 3486, 14499, 2994, 6964, 676, 3906, 5665, 2066, 2789, 6990, 1384, 320, 264, 4787, 21148, 623, 878, 532, 281, 4746, 1634, 607, 14167, 14499, 267, 1236, 21148, 3322, 4259, 1164, 3355, 5777, 585, 5499, 610, 2189, 17008, 269, 1306, 15712, 4283, 519, 2344, 267, 10909, 7930, 2569, 5777, 547, 2226, 2344, 2671, 269, 670, 821, 2096, 3019, 7552, 7426, 5356, 12600, 18353, 610, 16419, 15004, 1522, 9772, 713, 4640, 547, 31194, 593, 2038, 1719, 543, 9228, 1871, 780, 321, 264, 6755, 564, 1674, 623, 878, 532, 281, 2552, 9009, 547, 1236, 21148, 267, 21774, 14499, 5036, 1970, 3355, 5777, 547, 3533, 7001, 8101, 2344, 2671, 269, 4495, 3964, 267, 4213, 27261, 958, 2333, 5777, 269, 1280, 6578, 24917, 2096, 3019, 15143, 610, 1447, 2442, 18353, 267, 713, 1935, 1223, 4482, 1942, 23655, 6800, 543, 15658, 1761, 15712, 780, 322, 264, 14847, 1438, 3474, 640, 623, 878, 532, 281, 1879, 1210, 8013, 26027, 14499, 267, 4213, 6474, 30347, 262, 5777, 1369, 2147, 2344, 12415, 269, 1635, 5464, 2841, 3218, 3527, 267, 24917, 2096, 3019, 7552, 7426, 2327, 789, 2611, 8013, 1510, 24254, 11991, 3902, 10617, 780, 323, 264, 10025, 15369, 623, 878, 532, 281, 901, 4640, 15109, 5561, 262, 11994, 540, 1587, 4502, 2864, 982, 13461, 9003, 593, 2504, 3790, 269, 1403, 7218, 3810, 1871, 10531, 24917, 2096, 3019, 4058, 2533, 610, 7463, 2833, 267, 3028, 7426, 949, 5279, 811, 982, 15712, 945, 798, 711, 2709, 891, 2934, 780, 324, 264, 16723, 623, 878, 532, 281, 22034, 5626, 14499, 12485, 899, 19259, 14499, 18121, 275, 4200, 3079, 540, 1269, 4335, 264, 666, 1711, 2192, 16272, 540, 1732, 9388, 267, 8716, 6455, 269, 1717, 267, 922, 7145, 9775, 4470, 593, 2686, 8658, 543, 6746, 2329, 1983, 1851, 6098, 5095, 780, 325, 264, 25143, 548, 623, 878, 532, 281, 26157, 14911, 2472, 610, 2533, 693, 31680, 3928, 7512, 909, 18522, 3255, 269, 670, 821, 2096, 3019, 10189, 9388, 8537, 540, 22098, 267, 6980, 267, 2238, 267, 543, 19132, 12013, 1518, 22753, 14499, 780, 4089, 476, 280, 269, 274, 281, 25674, 623, 878, 532, 543, 4706, 10241, 692, 291, 29174, 14499, 4188, 338, 5777, 11179, 1759, 593, 3761, 267, 3747, 267, 543, 5007, 2188, 971, 607, 4365, 2242, 610, 2101, 2621, 269, 5794, 6050, 543, 20730, 4749, 946, 6422, 14499, 3631, 547, 11126, 19614, 2687, 547, 11385, 908, 5003, 3599, 3928, 543, 12119, 7648, 780, 2690, 3236, 267, 1282, 8445, 16806, 12405, 267, 2799, 3747, 585, 24917, 2096, 3019, 15143, 2636, 7426, 547, 6318, 5777, 17303, 269, 6684, 267, 2067, 12469, 610, 2797, 16132, 538, 1978, 18353, 1522, 15549, 10151, 3902, 20214, 547, 12954, 1433, 902, 11992, 780, 6962, 692, 303, 878, 532, 4564, 1312, 1148, 543, 2257, 282, 8939, 3617, 3486, 14499, 2994, 3340, 6297, 7156, 540, 3875, 4632, 269, 21988, 6388, 7569, 9488, 1382, 267, 2834, 2344, 5464, 267, 13916, 267, 543, 5876, 269, 20331, 609, 1702, 4843, 23954, 267, 14971, 4648, 1631, 4865, 13654, 2645, 2556, 547, 28433, 2500, 3486, 14499, 2994, 538, 1585, 6080, 267, 3226, 519, 29988, 24917, 2096, 3019, 2951, 5823, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 295, 821, 2096, 3019, 25676, 10369, 12618, 267, 23917, 267, 21073, 267, 12367, 543, 5983, 4751, 476, 1708, 273, 454, 295, 821, 2096, 3019, 25676, 10369, 568, 3177, 538, 519, 1867, 1759, 593, 1587, 9165, 543, 2344, 4567, 1299, 19773, 269, 634, 2344, 568, 5302, 7757, 593, 519, 4493, 540, 1826, 267, 1439, 268, 22852, 270, 1952, 997, 566, 267, 543, 11585, 269, 634, 1867, 2488, 1344, 827, 519, 2504, 267, 3902, 267, 8907, 267, 2344, 2671, 267, 543, 2208, 2557, 540, 1142, 1826, 269, 2983, 25140, 267, 519, 2344, 814, 1044, 9916, 2066, 3345, 3013, 267, 2342, 267, 3624, 267, 3567, 267, 14913, 5607, 267, 543, 3127, 269, 634, 4567, 543, 19175, 998, 476, 1001, 273, 268, 1708, 273, 585, 1142, 540, 891, 4525, 616, 7396, 538, 519, 1867, 563, 7476, 12726, 287, 4179, 2517, 4178, 18622, 14142, 2041, 600, 2593, 270, 29514, 3620, 821, 2096, 3019, 2389, 8692, 20695, 3613, 9850, 7146, 268, 1150, 4751, 268, 1708, 273, 27360, 564, 270, 7528, 652, 1606, 2217, 454, 763, 1867, 14122, 519, 12007, 543, 11050, 2079, 540, 1699, 543, 2104, 2344, 3934, 725, 269, 898, 849, 2820, 592, 2471, 3877, 827, 519, 7154, 540, 1382, 12191, 1031, 585, 519, 1353, 269, 898, 2882, 1239, 689, 3119, 607, 1134, 607, 6281, 2200, 269, 634, 1867, 568, 513, 3730, 4199, 585, 2872, 5716, 267, 1007, 679, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 17220, 623, 878, 532, 11150, 257, 607, 851, 540, 834, 24082, 1299, 18598, 1315, 4139, 1315, 16373, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269 ]

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

[ 689, 4893, 984, 344, 5052, 547, 17254, 17879, 5052, 610, 689, 17254, 17879, 5052, 547, 4893, 984, 344, 5052, 269, 769, 3059, 19106, 519, 3758, 2450, 568, 2356, 6027, 538, 4893, 984, 344, 5052, 267, 19251, 17879, 5052, 543, 17254, 17879, 5052, 269, 769, 1931, 547, 1685, 519, 7503, 689, 22995, 547, 26838, 267, 4283, 519, 1871, 540, 519, 3758, 2450, 538, 737, 321, 1106, 2361, 269, 1548, 568, 8273, 15406, 610, 26838, 286, 910, 2372, 7702, 0, 17780, 593, 513, 1007, 8760, 540, 5690, 1374, 2553, 543, 513, 2312, 30431, 566, 540, 2079, 2409, 267, 4985, 547, 519, 5071, 543, 5811, 540, 27122, 6799, 519, 1641, 538, 513, 17396, 543, 5499, 6073, 269, 18838, 538, 513, 2875, 7888, 2511, 267, 519, 1433, 11363, 519, 1620, 540, 2093, 936, 23494, 6101, 2126, 1247, 8499, 8720, 519, 1570, 2838, 538, 606, 4429, 2304, 2502, 2606, 1257, 547, 5276, 7223, 585, 1007, 1053, 10024, 6280, 543, 13059, 9921, 21943, 1053, 269, 898, 6663, 547, 1118, 2565, 15821, 2035, 2653, 547, 1174, 563, 272, 2983, 6248, 966, 26662, 454, 272, 269, 272, 18827, 540, 12166, 10321, 454, 272, 269, 273, 18527, 676, 513, 22185, 454, 272, 269, 274, 25513, 540, 10321, 454, 272, 269, 275, 5903, 540, 3730, 3601, 454, 272, 269, 276, 634, 9511, 540, 6252, 9999, 454, 273, 19024, 3267, 0, 307, 4382, 983, 2860, 6589, 585, 1152, 835, 2600, 540, 782, 2010, 540, 11871, 602, 2049, 538, 2367, 282, 2705, 267, 5868, 3928, 18214, 609, 1169, 8429, 1032, 269, 901, 2783, 568, 849, 8966, 950, 3379, 547, 824, 11871, 607, 621, 11148, 547, 1860, 7820, 2367, 1765, 17141, 9907, 1063, 476, 1428, 543, 476, 5392, 1765, 24392, 621, 666, 1459, 693, 1022, 3942, 538, 1272, 563, 26876, 1591, 1449, 7781, 2860, 568, 519, 1034, 1455, 1826, 267, 1818, 909, 476, 4817, 2600, 540, 782, 2665, 269, 2885, 2281, 19411, 622, 547, 1118, 909, 519, 14203, 538, 519, 1560, 269, 1703, 616, 1079, 23658, 20975, 540, 10351, 1591, 1449, 7781, 2860, 281, 5033, 514, 5448, 543, 1875, 5498, 2381, 5448, 563, 306, 655, 514, 5448, 568, 513, 3500, 21212, 1106, 540, 2860, 4122, 1336, 538, 2367, 538, 741, 476, 1789, 338, 543, 476, 2412, 338, 269, 901, 1826, 568, 2356, 1336, 538, 519, 1449, 525, 855, 666, 849, 3262, 547, 824, 4025, 971, 607, 519, 9726, 9136, 269, 12054, 514, 5557, 1631, 2272, 585, 476, 2004, 268, 4649, 2600, 540, 2665, 540, 1449, 7781, 2860, 538, 519, 5177, 563, 15239, 5498, 2381, 5448, 9428, 811, 3533, 982, 5033, 514, 5448, 282, 519, 6084, 712, 568, 2356, 1500, 909, 540, 513, 2582, 1826, 540, 1591, 855, 568, 3006, 6404, 269, 1703, 616, 2185, 1292, 1016, 18196, 540, 1875, 5498, 2381, 5448, 281, 11616, 4689, 26217, 267, 586, 13083, 5485, 26217, 267, 669, 9461, 665, 32555, 5448, 543, 1768, 520, 5448, 563, 763, 3355, 2126, 4781, 585, 1034, 2665, 540, 1449, 7781, 2860, 568, 547, 723, 519, 4299, 1449, 1834, 6569, 630, 528, 14024, 26618, 1040, 634, 8851, 540, 513, 2582, 1449, 1834, 12582, 1406, 1860, 12680, 610, 2834, 4638, 3252, 563, 21206, 2126, 4566, 786, 4096, 593, 519, 3942, 543, 1826, 540, 2860, 538, 519, 3461, 269, 769, 930, 2665, 267, 513, 1576, 540, 18068, 610, 2234, 23956, 786, 1246, 519, 8851, 6391, 269, 1403, 519, 10629, 568, 8746, 538, 707, 2783, 267, 789, 949, 2303, 13178, 585, 513, 1906, 1296, 19952, 269, 12054, 514, 5557, 723, 1044, 1634, 547, 4431, 1134, 547, 18068, 543, 2234, 23956, 5574, 269, 6348, 5498, 2381, 5557, 949, 849, 3747, 513, 2110, 1576, 540, 18068, 610, 513, 4999, 540, 6527, 269, 1403, 519, 2860, 568, 11636, 267, 3606, 6391, 949, 581, 2556, 563, 763, 10171, 540, 3384, 2860, 786, 4096, 593, 513, 4999, 540, 2188, 971, 607, 2085, 267, 11976, 267, 2732, 543, 6197, 269, 634, 5730, 2014, 540, 1449, 7781, 2860, 568, 1869, 7164, 267, 5103, 9488, 2564, 7634, 269, 589, 1906, 4220, 723, 1044, 4857, 602, 949, 4734, 513, 1268, 811, 7925, 547, 3384, 519, 2783, 269, 1452, 1331, 6939, 25403, 573, 1143, 267, 1920, 1686, 543, 3105, 1449, 7781, 2860, 563, 290, 7973, 25403, 573, 1143, 269, 9093, 609, 6939, 25403, 573, 1143, 267, 610, 19888, 322, 2105, 1449, 2873, 267, 616, 1614, 2053, 811, 2693, 547, 1020, 1449, 7781, 2860, 982, 1346, 4171, 1449, 2873, 26731, 693, 4332, 610, 711, 1279, 1310, 269, 1280, 713, 2601, 267, 621, 568, 1271, 585, 519, 1449, 525, 547, 13956, 883, 519, 1085, 8527, 636, 267, 952, 711, 6923, 1287, 998, 606, 5106, 1572, 606, 28722, 641, 1410, 344, 563, 23991, 1686, 269, 19198, 609, 513, 1686, 540, 1449, 7781, 2860, 1419, 1294, 519, 2783, 31272, 792, 538, 519, 7820, 5481, 269, 2368, 6090, 723, 1044, 5532, 547, 519, 2068, 267, 3056, 930, 547, 1179, 3634, 602, 621, 949, 581, 513, 22420, 2783, 269, 2311, 519, 4090, 267, 713, 568, 1869, 513, 3069, 282, 1382, 593, 519, 3095, 1063, 1449, 7781, 2860, 543, 1978, 6090, 568, 1869, 5571, 563, 28095, 1449, 7781, 2860, 269, 4340, 547, 519, 23244, 267, 2367, 616, 2185, 547, 476, 1321, 2053, 811, 2693, 547, 1020, 1449, 7781, 2860, 952, 789, 723, 5892, 1044, 8995, 609, 621, 269, 2060, 713, 538, 2247, 267, 621, 568, 16122, 602, 3105, 24412, 2638, 2933, 5781, 585, 9963, 4191, 543, 7390, 1246, 5346, 20499, 563, 8110, 14127, 513, 1582, 981, 454, 3519, 2265, 513, 10865, 2638, 547, 3713, 1022, 4191, 540, 1449, 7781, 2860, 538, 922, 2038, 5933, 22924, 949, 4688, 707, 1272, 269, 7427, 891, 2241, 3268, 912, 268, 6744, 835, 1449, 1834, 693, 513, 942, 563, 268, 28528, 5066, 519, 1449, 1834, 1063, 519, 555, 29304, 543, 2062, 325, 532, 619, 540, 1312, 3946, 563, 268, 18461, 585, 2182, 561, 7927, 267, 5347, 610, 5180, 561, 7927, 543, 2242, 538, 2450, 610, 3337, 563, 1432, 952, 594, 3713, 1945, 12150, 888, 10673, 1406, 11716, 707, 2589, 269, 1403, 596, 5469, 1022, 540, 891, 10832, 610, 1928, 538, 707, 1085, 8527, 636, 267, 3346, 707, 4387, 610, 579, 6331, 626, 12544, 579, 6331, 626, 568, 519, 1034, 11727, 19995, 547, 6166, 713, 2186, 540, 5868, 563, 21652, 344, 9133, 281, 519, 17643, 568, 519, 1655, 1747, 547, 2932, 513, 1449, 7781, 981, 282, 519, 9252, 6001, 525, 519, 2960, 543, 2306, 3350, 4443, 269, 0, 22137, 723, 3254, 602, 519, 2179, 540, 4747, 15161, 7118, 568, 2047, 1644, 547, 519, 2179, 540, 2069, 789, 723, 4607, 267, 5976, 519, 2362, 519, 1377, 540, 2069, 267, 519, 2362, 519, 3328, 5993, 4747, 269, 1280, 713, 2601, 267, 2069, 267, 1498, 621, 3112, 4194, 519, 7525, 991, 810, 325, 7694, 267, 8027, 267, 2564, 1416, 267, 543, 3656, 5796, 267, 568, 1898, 538, 6061, 1492, 1279, 24365, 1966, 540, 6710, 269, 6097, 547, 713, 5037, 267, 799, 835, 540, 519, 31742, 532, 6898, 568, 3020, 888, 288, 269, 1703, 568, 513, 1463, 2078, 1063, 2179, 540, 2069, 543, 540, 4747, 269, 645, 269, 4065, 666, 4194, 782, 519, 2042, 540, 6710, 269, 595, 269, 634, 7525, 991, 540, 1004, 609, 1970, 26038, 568, 2069, 269, 667, 269, 769, 519, 1279, 2196, 267, 2069, 666, 798, 2370, 547, 4194, 519, 6710, 2042, 269, 0, 24922, 15565, 930, 3461, 5095, 616, 693, 2362, 1981, 540, 3478, 1360, 7210, 689, 713, 5046, 268, 866, 4576, 269, 901, 2882, 912, 2252, 596, 616, 693, 2362, 1981, 585, 3978, 4576, 689, 5046, 268, 866, 1317, 540, 707, 2085, 610, 1317, 596, 723, 513, 3978, 1279, 3856, 1072, 1966, 267, 621, 568, 3063, 1271, 585, 596, 547, 1491, 3527, 547, 2569, 707, 1981, 540, 3478, 7210, 609, 519, 2068, 563, 1805, 516, 696, 19905, 989, 531, 716, 23706, 630, 27026, 645, 994, 1805, 516, 696, 19905, 7510, 4094, 525, 630, 27026, 589, 994, 309, 534, 1260, 344, 11142, 18650, 6090, 454, 300, 996, 27957, 4187, 5444, 454, 307, 564, 6483, 743, 710, 4187, 6090, 454, 17239, 309, 267, 918, 15425, 20492, 630, 12218, 589, 12498, 14915, 600, 848, 264, 0, 276, 540, 782, 2009, 5203, 525, 476, 277, 563, 276, 4279, 652, 1281, 711, 1611, 1655, 269, 1717, 2676, 1492, 6574, 1590, 1331, 519, 5207, 1434, 630, 553, 1134, 607, 519, 6574, 9409, 1916, 277, 901, 25195, 568, 3957, 519, 4909, 6240, 540, 454, 5471, 7469, 12695, 543, 9861, 563, 1607, 568, 519, 1883, 547, 454, 320, 2048, 9418, 21042, 12695, 8730, 2919, 2630, 267, 607, 8810, 1702, 540, 519, 7122, 454, 1692, 568, 713, 1634, 286, 2913, 721, 1397, 621, 547, 581, 3020, 563, 288, 1373, 476, 278, 454, 529, 606, 2291, 550, 282, 9861, 476, 279, 454, 6546, 568, 267, 2048, 320, 1373, 685, 568, 3274, 602, 799, 949, 581, 4570, 569, 2392, 5344, 454, 5560, 525, 8282, 264, 676, 930, 1106, 540, 519, 8231, 547, 581, 269, 634, 3044, 3029, 971, 454, 553, 2048, 529, 685, 543, 2048, 26200, 685, 616, 13385, 585, 2048, 320, 1373, 685, 949, 3277, 547, 1945, 454, 7474, 2048, 529, 1934, 685, 543, 2048, 26200, 972, 685, 630, 1492, 10539, 540, 13737, 1459, 543, 2250, 454, 680, 1116, 568, 1152, 7805, 585, 621, 568, 4847, 602, 513, 2048, 2251, 685, 949, 9062, 543, 454, 7474, 513, 3818, 13109, 949, 6443, 607, 835, 1916, 9616, 602, 538, 6031, 2048, 320, 1373, 568, 602, 799, 949, 581, 454, 20777, 569, 2392, 5344, 2507, 685, 621, 568, 22466, 602, 513, 1373, 568, 711, 1175, 519, 454, 2251, 32717, 1345, 855, 519, 1523, 7146, 268, 2251, 269, 898, 568, 711, 1373, 1767, 602, 454, 935, 576, 1516, 5932, 9861, 855, 602, 519, 1079, 616, 3808, 1927, 269, 6333, 267, 585, 454, 9987, 267, 513, 7823, 269, 1284, 723, 513, 973, 565, 21124, 3239, 540, 10239, 799, 6087, 454, 13440, 10744, 540, 513, 7823, 607, 513, 7823, 269, 1809, 1018, 568, 519, 7823, 3294, 888, 1692, 798, 649, 917, 621, 286, 1284, 917, 621, 267, 1101, 267, 689, 519, 3239, 602, 6013, 538, 938, 454, 23024, 1466, 282, 2034, 569, 649, 949, 3802, 1472, 543, 547, 621, 267, 5905, 621, 543, 18214, 621, 454, 663, 2070, 621, 689, 1114, 7285, 28559, 782, 602, 27861, 538, 543, 1152, 538, 454, 23024, 1466, 282, 1287, 649, 949, 1491, 538, 519, 5359, 540, 1866, 543, 17027, 454, 13231, 625, 540, 10239, 543, 865, 593, 11652, 782, 602, 27861, 538, 543, 1152, 538, 454, 23024, 1466, 269, 769, 6031, 602, 2048, 718, 602, 27861, 538, 543, 1152, 538, 1995, 685, 621, 454, 529, 5921, 602, 1247, 649, 949, 1589, 972, 568, 6662, 1344, 3564, 454, 23024, 1466, 267, 621, 7140, 856, 602, 602, 2417, 1344, 568, 711, 3564, 454, 23024, 1466, 630, 6518, 1281, 711, 1611, 602, 972, 568, 1100, 6662, 1344, 538, 454, 1492, 2631, 540, 6325, 1344, 855, 6662, 1344, 538, 519, 2631, 540, 454, 8072, 1993, 519, 1843, 685, 568, 2760, 1175, 540, 519, 1843, 855, 949, 581, 607, 952, 540, 519, 454, 15953, 1040, 2334, 568, 621, 568, 538, 519, 9759, 540, 513, 3364, 454, 528, 1843, 568, 602, 621, 568, 513, 454, 935, 1061, 268, 15953, 1765, 328, 4318, 1421, 3615, 616, 9247, 1523, 268, 15953, 338, 630, 1492, 2165, 454, 15953, 4061, 568, 711, 11658, 547, 2048, 2251, 685, 855, 568, 9838, 547, 454, 8072, 1410, 11962, 685, 1040, 1656, 513, 9039, 343, 11962, 1843, 454, 16673, 581, 3989, 607, 513, 1523, 268, 15953, 585, 799, 519, 1843, 568, 14275, 563, 763, 946, 540, 2048, 18455, 685, 1934, 568, 1114, 689, 930, 540, 922, 1455, 543, 454, 874, 3342, 28441, 3096, 269, 634, 3017, 568, 602, 6466, 621, 568, 1419, 1031, 547, 1611, 454, 31138, 899, 2048, 1492, 9759, 540, 1018, 568, 685, 610, 2048, 1492, 2362, 3029, 540, 6228, 20371, 1877, 621, 3274, 1797, 2048, 6343, 568, 9957, 594, 786, 2132, 547, 713, 1448, 693, 519, 1439, 540, 454, 2026, 3989, 1934, 267, 2048, 18455, 685, 630, 5115, 1388, 1242, 264, 568, 606, 454, 1952, 30068, 24735, 1523, 585, 621, 10039, 547, 2048, 22336, 2251, 9957, 898, 814, 4061, 454, 2041, 523, 1572, 513, 1875, 1523, 269, 1809, 621, 568, 711, 513, 1875, 1523, 1765, 337, 1430, 621, 568, 1875, 454, 29171, 3234, 22922, 269, 1656, 538, 602, 2631, 621, 568, 24735, 269, 1717, 267, 922, 946, 267, 607, 2938, 454, 514, 1018, 5205, 267, 568, 1875, 24735, 269, 13298, 267, 621, 949, 581, 4330, 607, 2048, 2889, 11398, 17483, 1692, 568, 602, 888, 1103, 519, 1101, 1747, 2048, 7474, 799, 6818, 685, 568, 513 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 763, 3741, 1287, 593, 799, 713, 960, 568, 13401, 267, 616, 954, 342, 8576, 609, 267, 543, 4909, 547, 267, 513, 2565, 1702, 540, 1169, 1893, 269, 9747, 835, 3768, 22866, 6644, 814, 1044, 6829, 676, 519, 8106, 16159, 267, 602, 5811, 267, 729, 519, 1152, 1505, 267, 676, 799, 621, 729, 2009, 547, 12446, 693, 267, 543, 1745, 519, 2407, 3196, 540, 513, 7623, 267, 610, 12045, 2262, 269, 2290, 6264, 1843, 538, 519, 1353, 540, 519, 27825, 267, 568, 547, 10536, 606, 3573, 1702, 267, 543, 4971, 267, 540, 1893, 269, 898, 568, 5156, 602, 519, 3741, 2919, 538, 713, 2370, 1433, 267, 616, 519, 1360, 3741, 676, 799, 1169, 3621, 812, 568, 11461, 267, 543, 593, 799, 26520, 782, 1010, 2565, 1702, 538, 1022, 1893, 563, 18871, 1538, 18319, 1475, 299, 6403, 978, 7699, 661, 1598, 1052, 4275, 910, 769, 6921, 17845, 338, 347, 0, 1432, 568, 606, 18909, 1849, 822, 1834, 4530, 888, 28122, 804, 822, 1834, 568, 849, 1634, 607, 519, 29523, 665, 15442, 7781, 10549, 269, 634, 29523, 665, 15442, 7781, 10549, 666, 581, 2938, 593, 519, 18909, 11571, 630, 17092, 297, 1040, 1452, 616, 13883, 1141, 519, 27897, 5642, 630, 10193, 1634, 607, 519, 804, 822, 1834, 264, 10742, 519, 29523, 636, 630, 3691, 770, 14752, 1040, 1452, 7633, 616, 4371, 1927, 676, 513, 3060, 540, 28587, 267, 1148, 7781, 20162, 267, 543, 28844, 267, 538, 1840, 547, 1373, 6462, 676, 13285, 563, 3963, 568, 621, 2944, 888, 17307, 3674, 1397, 29840, 532, 8031, 5693, 269, 589, 11632, 11571, 568, 9120, 585, 23235, 9221, 543, 5761, 2152, 543, 930, 30279, 17473, 269, 898, 781, 5140, 585, 17655, 28587, 267, 28844, 267, 519, 11983, 10260, 267, 543, 824, 2571, 8031, 563, 1432, 568, 519, 5650, 585, 519, 1849, 822, 1834, 18909, 30587, 4530, 888, 763, 18909, 10237, 6048, 786, 2491, 563, 1692, 1281, 835, 5965, 585, 519, 1449, 888, 5591, 1416, 568, 2838, 563, 21798, 540, 18909, 2480, 534, 1849, 822, 1834, 4530, 538, 16156, 912, 763, 25080, 16982, 9196, 630, 28122, 264, 1942, 585, 519, 1849, 822, 1834, 4530, 538, 16156, 6238, 693, 5442, 305, 476, 279, 267, 1822, 269, 7246, 17395, 589, 13698, 312, 16774, 21398, 10498, 570, 12239, 590, 21283, 4041, 454, 347, 14818, 7392, 1475, 28122, 1849, 822, 1834, 2008, 347, 27751, 12726, 10573, 8698, 543, 8281, 7797, 2008, 1911, 260, 15822, 1299, 5754, 8162, 545, 454, 12709, 12726, 17292, 1575, 454, 8698, 7797, 6732, 0, 289, 749, 781, 25097, 344, 267, 849, 1634, 607, 11132, 25097, 344, 267, 568, 513, 2783, 602, 3123, 6727, 543, 10151, 8467, 610, 26900, 540, 519, 11132, 6091, 269, 634, 2630, 2376, 3877, 519, 1482, 563, 289, 749, 781, 25097, 344, 267, 849, 1572, 11132, 25097, 344, 267, 3123, 6727, 610, 10151, 26900, 267, 610, 8467, 267, 540, 11132, 6091, 269, 634, 2783, 729, 1101, 4330, 676, 513, 13677, 18874, 267, 11184, 8176, 13852, 267, 538, 519, 476, 866, 628, 2540, 269, 634, 3169, 2014, 568, 7164, 267, 855, 4966, 3494, 621, 949, 2049, 607, 513, 5114, 1310, 513, 10194, 3968, 267, 4929, 11926, 543, 6553, 540, 519, 8229, 602, 8060, 11132, 6091, 630, 572, 22770, 22623, 658, 8229, 1040, 634, 8467, 2306, 513, 11132, 5323, 641, 593, 835, 2427, 610, 267, 10355, 267, 1312, 5011, 269, 769, 1840, 267, 972, 568, 513, 561, 3591, 3660, 610, 835, 21758, 12837, 543, 606, 22442, 573, 602, 759, 1235, 14656, 269, 1452, 2360, 2356, 2087, 1369, 513, 1906, 4374, 267, 609, 2347, 6051, 538, 827, 3670, 3275, 269, 1809, 19890, 267, 930, 1004, 949, 3136, 547, 723, 930, 13852, 781, 25097, 344, 2589, 585, 1272, 269, 27824, 569, 13852, 781, 25097, 344, 4386, 811, 982, 2899, 538, 513, 10715, 267, 543, 519, 24088, 568, 1034, 2693, 547, 4755, 1369, 1079, 1296, 540, 519, 1101, 10071, 563, 763, 3169, 2601, 585, 13852, 781, 25097, 344, 568, 1869, 7164, 267, 855, 519, 11841, 540, 13852, 781, 25097, 344, 568, 1644, 547, 4598, 547, 513, 10194, 3968, 267, 799, 3123, 6553, 540, 519, 11132, 8229, 269, 634, 2783, 3335, 4386, 950, 11926, 610, 6553, 689, 513, 10194, 3968, 17303, 12662, 2604, 593, 519, 8229, 602, 8060, 11132, 6091, 630, 572, 22770, 22623, 658, 8229, 1040, 901, 2604, 14796, 519, 8229, 1599, 267, 1818, 621, 2352, 547, 1852, 11132, 6091, 610, 7215, 269, 1717, 267, 607, 519, 6553, 7449, 1938, 267, 519, 8229, 6238, 8647, 1586, 269, 5164, 4926, 602, 616, 1634, 547, 2014, 13852, 781, 25097, 344, 1331, 912, 1103, 2739, 1190, 1395, 31265, 2670, 630, 22977, 7322, 5174, 1551, 1916, 290, 1245, 21399, 543, 19058, 15601, 630, 615, 6647, 2241, 343, 1916, 2419, 1157, 523, 21479, 543, 30133, 630, 615, 6647, 1990, 8803, 1916, 23389, 27330, 630, 13041, 7578, 1916, 4910, 21732, 10108, 630, 23565, 21552, 1916, 300, 7927, 630, 332, 7927, 3644, 1916, 31880, 630, 8882, 1663, 27833, 645, 1916, 21652, 20356, 7146, 2173, 1926, 2068, 630, 1723, 343, 338, 871, 773, 341, 6400, 1916, 295, 4353, 630, 16058, 6375, 32759, 3644, 1916, 289, 749, 781, 25097, 344, 2589, 1419, 2097, 10393, 543, 3914, 8445, 10335, 1369, 476, 4366, 547, 476, 7761, 3108, 269, 2755, 930, 1004, 949, 1020, 7646, 2589, 267, 1866, 949, 1995, 2347, 26900, 563, 763, 2589, 1376, 5355, 7930, 538, 1614, 4374, 269, 27051, 476, 3199, 4939, 540, 1004, 4628, 9156, 543, 1397, 1100, 4191, 610, 2589, 540, 13852, 781, 25097, 344, 1369, 1614, 3275, 269, 2368, 540, 519, 4191, 543, 2589, 540, 13852, 781, 25097, 344, 1331, 281, 769, 1840, 547, 11132, 5323, 14563, 267, 4191, 540, 13852, 781, 25097, 344, 1331, 912, 11795, 22187, 6340, 267, 4189, 267, 610, 6704, 563, 11795, 22187, 1818, 11132, 7215, 593, 519, 4299, 2427, 563, 23562, 26677, 540, 519, 11132, 6091, 563, 299, 1601, 540, 6492, 563, 293, 18432, 610, 1274, 1928, 563, 305, 15781, 538, 519, 10772, 630, 339, 11624, 1916, 306, 27383, 547, 4992, 563, 24965, 1027, 17229, 543, 19975, 2504, 563, 30999, 553, 1308, 11132, 31018, 563, 29995, 267, 835, 2427, 540, 519, 11132, 8229, 568, 4299, 267, 855, 13285, 593, 1312, 5011, 616, 3238, 538, 26742, 19631, 2665, 267, 4929, 24845, 2589, 563, 289, 749, 781, 25097, 344, 666, 8449, 1860, 2367, 543, 2021, 540, 1022, 2085, 269, 1717, 267, 1004, 609, 519, 1739, 2175, 616, 811, 12155, 547, 13852, 781, 25097, 344, 912, 23991, 1686, 540, 13852, 781, 25097, 344, 563, 290, 1245, 21399, 630, 615, 6647, 2241, 343, 3644, 1916, 11947, 1973, 2604, 630, 30104, 11364, 1916, 12507, 31265, 2670, 630, 22977, 7322, 5174, 1551, 3644, 1916, 306, 3107, 956, 630, 615, 6647, 1990, 8803, 3644, 1916, 303, 27389, 3599, 267, 3226, 1282, 519, 3791, 959, 30478, 543, 513, 3018, 2022, 268, 6765, 563, 308, 3899, 7929, 8778, 5563, 267, 971, 607, 4411, 543, 2770, 563, 2467, 568, 1100, 1808, 10368, 1449, 585, 13852, 781, 25097, 344, 269, 5502, 267, 519, 3782, 8502, 666, 13209, 519, 2783, 1759, 593, 922, 2589, 269, 4033, 2175, 267, 971, 607, 8482, 267, 26878, 1355, 2670, 267, 5563, 267, 543, 25425, 2068, 267, 666, 849, 2014, 11132, 26900, 602, 20998, 13852, 781, 25097, 344, 269, 1924, 267, 952, 519, 2589, 616, 711, 7805, 267, 519, 3782, 8502, 949, 4363, 519, 1739, 4255, 547, 4341, 856, 519, 824, 3123, 912, 26108, 18873, 281, 10552, 4255, 666, 581, 2944, 547, 4341, 856, 2175, 971, 607, 25425, 2068, 610, 824, 5563, 563, 16978, 668, 344, 2762, 630, 4932, 294, 2567, 901, 1449, 666, 581, 2944, 547, 2268, 8229, 3441, 543, 922, 10335, 269, 634, 1449, 849, 2337, 519, 8502, 3589, 875, 3533, 519, 1268, 609, 13852, 781, 25097, 344, 786, 9156, 563, 300, 8568, 1763, 28585, 24919, 630, 28122, 264, 610, 6156, 539, 8751, 2762, 630, 6311, 2567, 1452, 18767, 616, 2944, 547, 4341, 856, 824, 2959, 540, 2604, 593, 519, 11132, 8229, 267, 899, 12970, 610, 15693, 18655, 563, 289, 749, 781, 25097, 344, 1419, 10607, 609, 610, 1510, 2126, 269, 1703, 568, 1100, 1808, 2126, 585, 13852, 781, 25097, 344, 269, 12846, 267, 519, 3782, 8502, 949, 4363, 835, 610, 811, 540, 519, 1739, 6527, 610, 2168, 3797, 585, 10835, 8323, 543, 5488, 6051, 912, 302, 1537, 29416, 8803, 6950, 267, 971, 607, 20530, 23036, 821, 267, 616, 3532, 4550, 13611, 8069, 602, 2569, 8229, 11926, 543, 948, 22919, 11132, 3350, 5488, 269, 595, 20294, 8803, 6950, 616, 1034, 2500, 950, 789, 616, 3323, 1369, 476, 4366, 3108, 540, 711, 6005, 2589, 269, 769, 1840, 267, 950, 3323, 2038, 267, 29416, 8803, 6950, 2087, 519, 10171, 540, 2347, 6051, 563, 12901, 643, 12637, 5061, 267, 971, 607, 589, 7094, 990, 597, 585, 15601, 267, 949, 3432, 6051, 267, 4352, 621, 568, 1869, 15458, 875, 6225, 789, 616, 269, 1879, 5916, 609, 5711, 29416, 8803, 6950, 267, 17617, 597, 1023, 949, 4324, 930, 1004, 609, 13852, 781, 25097, 344, 267, 855, 621, 568, 1869, 796, 2889, 1597, 269, 4165, 643, 12637, 5061, 267, 971, 607, 4406, 2329, 743, 990, 597, 610, 589, 7094, 990, 597, 267, 616, 3006, 11311, 538, 14966, 609, 20530, 23036, 821, 538, 1004, 609, 4049, 13852, 781, 25097, 344, 563, 292, 26191, 28979, 267, 971, 607, 5841, 17229, 267, 948, 865, 6139, 3819, 267, 8886, 730, 4064, 269, 1717, 267, 952, 519, 22442, 573, 1281, 711, 2673, 267, 835, 949, 991, 547, 5957, 606, 3750, 15429, 547, 2149, 519, 3750, 689, 7063, 543, 8886, 1218, 563, 288, 2168, 13309, 666, 948, 4001, 875, 547, 18552, 543, 3635, 519, 11132, 6091, 547, 948, 2061, 1612, 3315, 7458, 6091, 689, 16756, 532, 543, 2110, 2287, 563, 5719, 4818, 1833, 6391, 729, 7620, 1031, 547, 24390, 519, 2604, 593, 519, 11132, 8229, 543, 8897, 2604, 593, 519, 8229, 269, 1809, 1631, 267, 621, 568, 10355, 5340, 1317, 540, 519, 4220, 2404, 609, 713, 6391, 267, 1519, 8628, 6217, 2530, 543, 11132, 8229, 3441, 563, 293, 18432, 556, 534, 11582, 6391, 949, 581, 1031, 547, 1118, 513, 3068, 1413, 811, 1256, 543, 11177, 11132, 3350, 269, 6270, 23361, 1331, 606, 22442, 573, 12740, 267, 32071, 992, 12740, 267, 11132, 18032, 267, 543, 8229, 21910, 338, 563, 29995, 267, 519, 13852, 781, 25097, 344, 2589, 28201, 1310, 513, 7008, 540, 4374, 267, 543, 1004, 9156, 4628, 1369, 3670, 3275, 269, 1809, 4049, 2665, 540, 2698, 26900, 949, 2014, 519, 1739, 8374, 912, 296, 337, 516, 23983, 11132, 8229, 3441, 563, 26239, 330, 1149, 529, 281, 634, 12150, 610, 9402, 1036, 9512, 540, 8229, 11103, 949, 1267, 538, 519, 32246, 19432, 540, 1978, 6091, 950, 3843, 547, 1847, 824, 6091, 269, 1280, 1383, 267, 950, 513, 1268, 13290, 547, 12837, 267, 519, 3750, 593, 519, 4299, 2427, 32195, 593, 922, 1378, 563, 8512, 658, 610, 13159, 32559, 1145, 540, 519, 16685, 281, 634, 3750, 3587, 3819, 1317, 540, 519, 17418, 547, 2673, 519, 22442, 1749, 269, 901, 4523, 1813, 547, 7050, 3819, 1145, 543, 31153, 540, 519, 2312, 8825, 8720, 540, 519, 3750, 1572, 519, 31894, 563, 763, 23567, 585, 1004, 609, 13852, 781, 25097, 344, 568, 2356, 1434, 269, 4107, 1004, 609, 13852, 781, 25097, 344, 9156, 609, 610, 1510, 2126, 269, 1717, 267, 621, 568, 1898, 547, 5469, 513, 16795, 1447, 2287, 540, 2589, 1369, 513, 1906, 4374, 269, 13159, 6051, 666, 1491, 1079, 547, 3670, 3275, 267, 4470, 593, 519, 10335, 540, 8229, 3441, 269, 769, 4686, 2665, 267, 1004, 2760, 4628, 9156, 269, 11910, 513, 4387, 5612, 952, 513, 1268, 2833, 2589, 540, 13852, 781, 25097, 344, 269, 7216, 5868, 543, 2126, 666, 948, 3432, 909, 6051, 563, 289, 749, 781, 25097, 344, 267, 849, 1572, 11132, 25097, 344, 267, 3123, 6727, 610, 10151, 26900, 267, 610, 8467, 267, 540, 11132, 6091, 269, 18641, 267, 519, 2589, 7930, 28201, 609, 942, 267, 609, 610, 1510, 2126, 269, 901, 568, 2356, 513, 10151, 2783, 267, 855, 621, 666, 1869, 2154, 513, 2603, 540, 9639, 607, 835, 1590, 7227, 585, 519, 11132, 13285, 543, 6091, 547, 1376, 2324, 1586, 269, 6423, 513, 3782, 8502, 950, 519, 2589, 1101, 2408, 269, 5709, 725, 543, 2168, 3797, 948, 3432, 909, 519, 6051, 269, 17889, 568, 10355, 606, 4781, 585, 713, 2783, 563, 7197, 540, 519, 942, 267, 13852, 781, 25097, 344, 568, 711, 1634, 547, 581, 8628, 267, 855, 621, 1281, 711, 979, 2476, 538, 1978, 4686, 3871, 269, 4746, 267, 972, 568, 1100, 4362, 10826, 547, 1521, 13852, 781, 25097, 344, 269, 1717, 267, 519, 6051, 1974, 2356, 5956, 676, 1079, 4374, 547 ]

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

[ 1413, 693, 713, 835, 6066, 7556, 13037, 547, 1294, 1141, 621, 3357, 689, 543, 1018, 621, 814, 1831, 454, 12552, 15130, 568, 4371, 593, 519, 8772, 13628, 540, 5437, 538, 519, 2136, 2276, 1141, 621, 568, 12926, 4767, 609, 513, 1804, 1920, 7594, 540, 21429, 267, 6653, 12277, 267, 3039, 10365, 543, 22623, 11241, 267, 609, 1082, 4892, 10707, 521, 14184, 3604, 547, 5531, 543, 2285, 7064, 585, 741, 25736, 538, 1018, 814, 1831, 1175, 513, 1360, 22394, 16079, 540, 922, 8129, 269, 1717, 15029, 621, 814, 22872, 543, 4957, 513, 3787, 936, 519, 1296, 519, 9759, 1869, 3788, 3020, 267, 621, 568, 513, 11812, 540, 4797, 6668, 563, 1103, 9759, 2705, 21175, 568, 2484, 811, 606, 2804, 9702, 982, 513, 16712, 610, 3909, 835, 540, 4758, 7064, 538, 519, 2757, 2631, 269, 3509, 1004, 3548, 543, 1287, 14678, 979, 2228, 13989, 4609, 538, 519, 2475, 723, 519, 3501, 13344, 585, 8285, 713, 1032, 269, 13518, 540, 519, 942, 789, 2461, 1318, 267, 855, 519, 5010, 1436, 540, 21175, 3884, 1406, 513, 1025, 697, 2390, 621, 607, 1454, 607, 1373, 519, 1448, 540, 621, 538, 519, 1101, 1747, 538, 513, 2413, 4853, 2486, 899, 519, 2475, 563, 763, 8129, 540, 21175, 616, 10169, 19635, 609, 519, 12119, 15976, 540, 2038, 989, 337, 4115, 7239, 2907, 14120, 519, 1439, 540, 519, 7556, 3274, 676, 546, 842, 540, 18138, 513, 7882, 1054, 543, 782, 1271, 4305, 1471, 8584, 23724, 741, 6668, 607, 513, 14316, 610, 2146, 269, 1452, 16873, 941, 954, 342, 8576, 936, 519, 5553, 609, 519, 10752, 540, 10764, 267, 519, 627, 574, 540, 6608, 543, 519, 26846, 540, 14078, 855, 2429, 621, 814, 17477, 621, 779, 3597, 2495, 563, 14188, 1411, 1280, 21175, 454, 268, 26492, 543, 4123, 2097, 1927, 454, 268, 14856, 543, 10918, 2462, 3334, 454, 268, 8859, 1235, 4585, 13989, 3377, 786, 581, 1434, 454, 763, 1101, 2475, 21175, 568, 1869, 11130, 936, 1813, 6140, 547, 4057, 12319, 543, 513, 7287, 593, 519, 851, 540, 19174, 547, 6133, 11786, 2835, 267, 855, 5103, 602, 1376, 538, 519, 476, 14341, 271, 338, 621, 9327, 1406, 581, 513, 3084, 9702, 538, 519, 2475, 2394, 519, 476, 3707, 271, 338, 950, 17619, 4547, 519, 16559, 21175, 14812, 540, 1082, 2829, 883, 1899, 609, 1142, 824, 543, 2813, 519, 13037, 649, 917, 2221, 269, 1261, 1705, 621, 547, 561, 1263, 6533, 519, 8285, 10918, 1974, 585, 2804, 4128, 269, 898, 5249, 563, 8170, 1576, 4758, 7064, 568, 15991, 2189, 547, 519, 2136, 2276, 630, 24392, 621, 1223, 581, 11130, 789, 723, 3833, 513, 2603, 811, 982, 1034, 547, 581, 9684, 995, 585, 264, 543, 1472, 519, 1158, 6082, 543, 5095, 8661, 741, 1378, 25736, 538, 1585, 535, 1662, 687, 543, 609, 1114, 5389, 519, 1158, 936, 269, 634, 12082, 4296, 609, 2025, 7556, 15976, 568, 3006, 7805, 855, 711, 1169, 2197, 5337, 2803, 519, 2413, 4853, 7556, 267, 609, 3567, 14120, 1312, 4074, 543, 2504, 538, 922, 4528, 563, 28657, 267, 540, 1576, 267, 814, 922, 1378, 21175, 4371, 2484, 4505, 538, 519, 1032, 267, 513, 1267, 540, 13896, 689, 2342, 3366, 676, 17701, 540, 519, 1007, 1158, 945, 1336, 1869, 1373, 9800, 538, 5437, 865, 26648, 789, 1185, 513, 5428, 547, 2161, 9684, 596, 269, 1703, 616, 930, 7440, 1869, 827, 799, 13896, 543, 799, 24413, 267, 855, 538, 519, 1439, 519, 8225, 21175, 22842, 519, 1439, 540, 519, 7556, 538, 7168, 1454, 519, 1482, 1259, 607, 519, 2475, 543, 3864, 8747, 798, 563, 763, 2475, 21175, 11812, 568, 10704, 1472, 519, 7594, 267, 513, 7372, 26035, 540, 7882, 1054, 17114, 609, 2757, 3536, 602, 267, 5310, 5594, 9642, 569, 267, 616, 3592, 7357, 519, 8798, 540, 519, 2278, 540, 6307, 16874, 589, 9741, 30340, 945, 729, 513, 4412, 9426, 540, 21175, 607, 513, 3084, 9702, 585, 5756, 1354, 621, 2965, 1831, 835, 269, 634, 1101, 21175, 729, 7074, 585, 922, 9006, 2581, 543, 3165, 267, 2413, 1554, 1651, 7568, 725, 10355, 1331, 873, 563, 763, 3573, 12119, 6455, 5515, 585, 21175, 7594, 5820, 12034, 5458, 16642, 8852, 2066, 519, 10685, 543, 17783, 1446, 6990, 609, 476, 736, 260, 540, 782, 22623, 11241, 10057, 593, 21175, 267, 799, 3884, 1406, 7357, 9670, 2016, 789, 6492, 9797, 28067, 267, 607, 1281, 21429, 855, 594, 15475, 602, 16919, 513, 2370, 811, 535, 25717, 982, 28067, 269, 9717, 519, 3312, 7594, 1185, 9006, 2581, 621, 4667, 513, 17847, 602, 476, 11011, 260, 540, 4892, 3548, 1945, 607, 1025, 663, 607, 21429, 950, 4758, 7064, 563, 763, 5993, 9194, 540, 4892, 693, 21175, 12651, 519, 1297, 540, 1004, 10707, 676, 476, 7918, 260, 609, 930, 476, 3393, 2929, 4892, 4397, 547, 2951, 593, 513, 1554, 602, 585, 1082, 786, 581, 6825, 676, 519, 4990, 540, 2951, 2833, 602, 1175, 1118, 596, 9684, 995, 547, 581, 856, 540, 519, 1286, 269, 634, 5318, 5354, 540, 21175, 17631, 3442, 519, 1286, 607, 741, 7154, 540, 3560, 267, 5103, 519, 1249, 602, 3328, 3460, 9883, 616, 7444, 2810, 563, 1607, 568, 5310, 1317, 2011, 2951, 568, 1869, 513, 575, 327, 770, 569, 1995, 540, 1273, 1673, 12495, 267, 10918, 32041, 22576, 21514, 978, 525, 543, 16081, 6244, 27939, 267, 519, 570, 6347, 4180, 1100, 835, 814, 1022, 1187, 31049, 15029, 21986, 532, 519, 4182, 779, 22839, 269, 13488, 693, 21175, 568, 9684, 1652, 543, 1360, 10355, 2164, 538, 4376, 811, 982, 1004, 1373, 9684, 995, 789, 1152, 723, 547, 798, 621, 2899, 513, 1032, 2507, 663, 1287, 789, 3314, 8285, 269, 901, 568, 1946, 1004, 4235, 865, 1454, 693, 21175, 267, 789, 2461, 3843, 547, 7340, 519, 2951, 563, 2691, 17619, 13387, 21175, 585, 782, 2829, 540, 519, 9769, 267, 4929, 7147, 547, 723, 547, 2285, 909, 835, 540, 519, 1079, 621, 1185, 6394, 936, 519, 1296, 267, 646, 1705, 865, 585, 17033, 2804, 4128, 269, 634, 20436, 566, 540, 519, 8285, 10918, 1974, 729, 547, 581, 5551, 693, 519, 942, 630, 1492, 2038, 476, 3707, 271, 338, 264, 543, 2094, 1287, 1100, 835, 814, 2938, 3514, 547, 1689, 1018, 814, 1831, 519, 1668, 5006, 10918, 15964, 540, 519, 1032, 267, 609, 1004, 10918, 1312, 538, 544, 8712, 693, 2228, 1210, 741, 5985, 25919, 621, 3580, 581, 4443, 982, 8165, 741, 1259, 998, 519, 24921, 563, 9213, 519, 11016, 1310, 21175, 814, 922, 1378, 2012, 267, 607, 1281, 519, 1739, 11728, 269, 4563, 11016, 543, 15536, 11728, 1631, 13404, 513, 5318, 7274, 540, 7836, 883, 1175, 513, 1360, 1906, 2395, 609, 476, 1001, 274, 7487, 513, 6108, 540, 5176, 5722, 543, 513, 3368, 5479, 9489, 538, 1175, 2947, 2395, 269, 1924, 1454, 865, 602, 20398, 7146, 2173, 677, 541, 21625, 1631, 1930, 741, 9885, 593, 21175, 3294, 3843, 547, 14526, 609, 1346, 945, 1310, 12129, 5734, 519, 4950, 25919, 538, 519, 2475, 972, 616, 930, 20476, 1622, 1869, 547, 581, 1336, 2228, 269, 4024, 713, 1032, 581, 607, 2462, 610, 8273, 982, 2063, 1032, 286, 1284, 3580, 723, 547, 7227, 513, 1906, 2395, 547, 1294, 269, 0, 1103, 3168, 693, 875, 519, 1158, 568, 4742, 811, 20651, 543, 811, 2919, 538, 2489, 267, 713, 849, 6770, 547, 1769, 2042, 269, 1306, 519, 2551, 5170, 547, 1332, 267, 1004, 786, 581, 11423, 811, 543, 811, 2127, 540, 519, 1158, 269, 901, 568, 3056, 547, 811, 2951, 543, 811, 3486, 1870, 543, 1894, 10838, 1114, 2477, 269, 1306, 1004, 543, 1870, 4483, 547, 1007, 2127, 267, 865, 798, 2093, 827, 2418, 267, 4978, 543, 519, 1259, 540, 1272, 269, 901, 1184, 568, 5219, 547, 607, 14051, 269, 2755, 972, 616, 2640, 547, 14051, 267, 972, 616, 849, 2721, 19758, 267, 1519, 519, 1114, 1379, 6384, 602, 666, 2049, 1063, 2516, 269, 1703, 568, 711, 7862, 782, 936, 519, 1158, 267, 543, 607, 14051, 19082, 267, 930, 4250, 602, 8635, 786, 1932, 563, 763, 4670, 17157, 2630, 5654, 693, 519, 3395, 2551, 593, 519, 4541, 543, 1018, 713, 786, 1611, 585, 1114, 2200, 543, 1894, 538, 938, 1158, 269, 630, 10059, 2517, 4178, 28938, 2593, 11320, 2255, 286, 341, 284, 2675, 275, 295, 343, 303, 343, 301, 337, 313, 271, 261, 10623, 1155, 284, 344, 719, 340, 269, 2041, 994, 5475, 8384, 519, 17157, 2992, 593, 875, 519, 2551, 2208, 568, 2469, 547, 1860, 519, 1985, 1906, 5481, 269, 3503, 513, 476, 274, 268, 275, 5037, 3210, 799, 3877, 2104, 2042, 267, 6941, 875, 3160, 610, 21376, 519, 1158, 786, 581, 267, 543, 11828, 875, 519, 1184, 540, 14051, 786, 581, 513, 1434, 610, 513, 3983, 3364, 269, 25737, 3872, 1570, 547, 1489, 1022, 2990, 563, 303, 2529, 269, 5900, 3737, 568, 513, 3381, 1257, 269, 0, 763, 674, 289, 308, 779, 1867, 2048, 14737, 574, 2358, 23001, 16146, 685, 4598, 547, 6757, 2498, 1663, 757, 685, 2829, 602, 1082, 540, 519, 6878, 23001, 16146, 616, 6534, 547, 616, 9286, 607, 1480, 15910, 11077, 269, 769, 1840, 267, 519, 12136, 540, 2068, 543, 2860, 616, 2362, 982, 4397, 10838, 23001, 16146, 3379, 547, 519, 2489, 2551, 269, 1215, 666, 596, 15260, 675, 23001, 16146, 602, 741, 1072, 543, 3106, 616, 1373, 3922, 2213, 543, 741, 8171, 6927, 888, 763, 1072, 267, 3106, 543, 8171, 540, 5234, 568, 513, 10862, 585, 5507, 9605, 23394, 1228, 630, 299, 293, 289, 1040, 700, 293, 289, 12079, 619, 723, 1044, 2324, 609, 9164, 538, 24243, 543, 824, 3595, 543, 15063, 2533, 18368, 547, 1732, 1174, 519, 4220, 547, 5234, 689, 9036, 4598, 547, 15910, 11077, 269, 700, 293, 289, 814, 1044, 5665, 513, 2039, 540, 4052, 1852, 3800, 547, 6922, 1047, 519, 4220, 547, 23001, 16146, 689, 9036, 15910, 11077, 585, 1082, 1296, 269, 901, 2882, 281, 10512, 3609, 609, 2543, 547, 519, 946, 540, 7929, 8825, 3937, 543, 23001, 7660, 632, 4186, 8727, 282, 5009, 2834, 4657, 540, 7293, 23001, 18017, 7802, 282, 519, 11865, 540, 5234, 10304, 6703, 1519, 29636, 282, 543, 8362, 5464, 1634, 15910, 11077, 538, 23394, 1228, 28737, 267, 585, 1383, 9036, 12220, 540, 17088, 9688, 5434, 269, 0, 10403, 3732, 1557, 593, 519, 13667, 540, 4065, 630, 10403, 547, 1224, 1040, 634, 1292, 2832, 540, 2069, 568, 519, 782, 15778, 1646, 540, 513, 2875, 269, 4706, 3483, 568, 547, 1020, 513, 2875, 883, 513, 2407, 267, 2898, 543, 7471, 1268, 269, 634, 1292, 2832, 540, 2069, 568, 519, 782, 15778, 1646, 540, 513, 2875, 269, 4706, 3483, 568, 547, 1020, 513, 2875, 883, 513, 2407, 267, 2898, 543, 7471, 1268, 563, 288, 2875, 4116, 6935, 568, 606, 7533, 851, 540, 513, 1732, 2069, 267, 952, 5941, 827, 2486, 607, 513, 2898, 269, 4065, 568, 2808, 547, 581, 513, 6174, 602, 6770, 827, 1689, 538, 519, 2486, 547, 971, 606, 6708, 602, 621, 666, 1118, 606, 3768, 324, 975, 539, 2197, 513, 2919, 835, 269, 634, 1699, 2832, 540, 2069, 568, 9141, 676, 519, 6437, 610, 519, 21038, 563, 763, 2832, 540, 2069, 1058, 581, 4543, 519, 2486, 581, 14628, 543, 1863, 689, 519, 9409, 7060, 269, 1323, 13473, 2247, 3085, 1406, 2097, 896, 1022, 3310, 865, 3728, 269, 901, 568, 1946, 267, 594, 3494, 519, 1483, 2832, 540, 2069, 1058, 581, 1818, 1004, 4830, 17024, 543, 5140, 3375, 15670, 563, 3080, 540, 519, 2081, 547, 1683, 971, 2069, 568, 547, 968, 1326, 9205, 6100, 634, 1983, 543, 5759, 1020, 538, 1483, 1158, 543, 711, 538, 5841, 3871, 538, 1362, 269, 769, 713, 2543, 267, 649, 949, 3277, 547, 519, 18573, 779, 968, 2704, 5586, 800, 540, 519, 29190, 6100, 2290, 1058, 968, 339, 13224, 892, 519, 1483, 1158, 2042, 543, 1205, 2123, 1995, 689, 621, 563, 307, 2532, 476, 272, 630, 26183, 272, 264, 13760, 519, 3483, 543, 946, 540, 2200, 538, 1378, 11285, 1858, 269, 476, 272, 269, 272, 11512, 519, 3483, 540, 2200, 538, 1565, 543, 3450, 8249, 616, 1031, 547, 2327, 6267, 616, 1373, 7722, 543, 585, 6267, 547, 2743, 741, 1565, 2115, 267, 741, 9053, 1565, 6163, 543, 585, 873, 547, 3035, 741, 1565, 4093, 563, 303, 17123, 540, 4065, 630, 13625, 264, 4065, 568, 513, 5318, 11782, 269, 769, 19220, 540, 922, 6988, 900, 5799, 2367, 723, 6836, 547, 5581, 621, 538, 741, 1378, 1259, 907, 769, 513, 1259, 267, 519, 14713, 540, 13919, 267, 610, 1318, 540, 2932, 610, 1434, 2623, 538, 922, 11097, 652, 2631, 267, 568, 519, 18678, 2832, 540, 2069, 269, 589, 6437, 666, 2192, 6488, 547, 581, 9420, 547, 713, 1843, 267, 585, 922, 563, 19669, 3650, 267, 589, 269, 715, 269, 630, 3422, 278 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 769, 2221, 781, 2168, 2069, 6437, 267, 8516, 2069, 4249, 513, 2629, 1909, 538, 5009, 2635, 6197, 5079, 1851, 1053, 269, 1717, 267, 8806, 3450, 1053, 827, 519, 2640, 540, 3635, 543, 1697, 6484, 568, 1419, 711, 2614, 547, 6536, 1279, 3856, 2623, 1689, 269, 5502, 267, 6220, 3741, 540, 5042, 6530, 543, 6791, 1646, 666, 948, 7855, 1711, 811, 2500, 8516, 2069, 3292, 269, 901, 3184, 786, 2263, 875, 3381, 268, 665, 2424, 2409, 1031, 538, 5026, 6791, 1382, 666, 1217, 519, 1374, 540, 14292, 2326, 6322, 693, 23960, 519, 1646, 540, 5672, 10635, 4321, 1983, 538, 8516, 2069, 780, 5575, 267, 1577, 721, 5581, 1018, 649, 1611, 676, 5672, 10635, 10744, 269, 4340, 547, 21890, 514, 630, 1001, 276, 1070, 5672, 10635, 10744, 4016, 547, 834, 1492, 2790, 3157, 3238, 538, 1950, 3871, 1141, 972, 616, 2192, 20452, 3853, 267, 15458, 6384, 267, 13346, 14422, 267, 942, 2604, 267, 1164, 30367, 267, 2789, 5716, 267, 543, 10721, 3853, 257, 630, 335, 269, 476, 275, 1040, 1452, 5042, 3157, 1331, 3510, 4656, 267, 3375, 6194, 267, 4058, 267, 4199, 2359, 267, 543, 1558, 659, 10744, 269, 15043, 891, 1983, 568, 1898, 585, 6267, 547, 1831, 4966, 538, 1022, 6389, 267, 1519, 8516, 2069, 780, 1103, 519, 2796, 540, 8516, 2069, 267, 3384, 5672, 10635, 4321, 1983, 1522, 4125, 1565, 875, 547, 2708, 513, 7817, 781, 2115, 543, 3853, 267, 1374, 606, 25191, 15904, 1982, 267, 6895, 3356, 267, 543, 4188, 2994, 9935, 269, 27603, 267, 971, 1983, 723, 1044, 6026, 998, 29095, 1222, 3631, 267, 609, 30497, 30157, 11287, 4810, 4648, 543, 7930, 2921, 593, 811, 5539, 896, 15569, 269, 2755, 713, 1935, 814, 922, 26350, 267, 621, 666, 849, 581, 942, 21791, 543, 7199, 269, 5047, 267, 621, 949, 711, 1683, 8763, 5955, 593, 1808, 3334, 540, 5672, 10635, 4321, 5578, 1646, 780, 21581, 268, 665, 2424, 2409, 2709, 606, 4244, 1935, 547, 2757, 29095, 1222, 3631, 676, 3850, 16929, 547, 13861, 3308, 1344, 1282, 23405, 540, 1950, 4247, 269, 1635, 28729, 25848, 1005, 13980, 540, 513, 3381, 4159, 267, 3173, 666, 8495, 875, 2043, 1184, 1114, 2010, 540, 1344, 950, 7900, 1585, 2238, 269, 1280, 1383, 267, 513, 1353, 6313, 13836, 18644, 9916, 7044, 538, 799, 2901, 519, 8486, 7815, 781, 5305, 1448, 610, 519, 3440, 729, 29473, 7672, 693, 1114, 2053, 1282, 519, 18711, 630, 27455, 1299, 5062, 8867, 617, 267, 476, 1220, 271, 1040, 11778, 4951, 602, 9952, 5734, 1562, 941, 2111, 547, 946, 4434, 10291, 3177, 676, 519, 8486, 7815, 781, 5163, 547, 18783, 519, 12557, 543, 4087, 540, 519, 12334, 267, 1256, 950, 789, 1223, 711, 1294, 519, 3440, 3294, 780, 4322, 4681, 5031, 519, 2956, 540, 829, 24632, 2275, 4321, 1983, 538, 4274, 2773, 543, 2303, 602, 2147, 2553, 1223, 581, 4294, 547, 8516, 2069, 269, 1280, 3236, 267, 606, 14357, 1522, 946, 3381, 268, 665, 2424, 3301, 547, 1459, 7218, 609, 24056, 540, 5751, 5340, 27235, 267, 4101, 873, 547, 2697, 6959, 543, 15974, 28303, 1759, 593, 741, 1702, 540, 1106, 543, 4480, 269, 17968, 267, 6267, 1223, 7747, 7044, 540, 2123, 2866, 7886, 543, 5659, 519, 26519, 781, 3375, 6194, 3157, 267, 7114, 9342, 543, 2127, 585, 6454, 780, 2414, 2936, 3381, 268, 665, 2424, 2409, 3927, 538, 8516, 2069, 267, 1896, 9270, 1590, 581, 3144, 883, 2272, 269, 3689, 267, 16929, 1058, 5402, 2824, 3381, 24056, 602, 11168, 4143, 5672, 10635, 4321, 1983, 269, 1280, 1383, 267, 952, 519, 3804, 568, 547, 2087, 7218, 262, 2702, 547, 1374, 25191, 15904, 4566, 267, 1287, 7044, 6029, 30157, 2502, 538, 713, 1184, 1131, 581, 1034, 3617, 269, 5822, 267, 16929, 1058, 1683, 2312, 5528, 543, 11461, 2259, 3255, 547, 2327, 602, 6267, 1174, 875, 547, 4612, 519, 29473, 7672, 22089, 543, 4019, 741, 4030, 547, 1483, 8996, 7653, 269, 7053, 267, 5571, 4879, 543, 5955, 616, 2565, 547, 1489, 4797, 2208, 543, 27715, 540, 5672, 10635, 4321, 1983, 780, 3080, 1761, 4161, 538, 7598, 3381, 268, 665, 2424, 2409, 538, 8516, 2069, 568, 1569, 547, 5078, 3937, 543, 2200, 269, 4400, 7779, 3381, 12514, 543, 11049, 3301, 666, 581, 1942, 3491, 3031, 1438, 585, 1082, 5238, 282, 2705, 267, 8441, 538, 2029, 723, 1500, 621, 5051, 15164, 547, 1711, 6198, 29473, 2424, 13502, 1210, 16389, 610, 14342, 269, 3958, 267, 1930, 21299, 3301, 3681, 616, 2139, 585, 1346, 945, 6999, 547, 4603, 609, 3381, 268, 665, 2424, 2553, 1510, 10115, 538, 5010, 2472, 780, 5194, 7156, 568, 26936, 3381, 268, 665, 2424, 2238, 609, 6626, 1225, 14152, 6859, 269, 24524, 2069, 3292, 3335, 11168, 1312, 2930, 16169, 630, 324, 3052, 1421, 17117, 540, 3635, 3029, 264, 543, 14375, 1983, 630, 324, 3052, 1421, 2792, 267, 6568, 1040, 23889, 3381, 268, 665, 2424, 2409, 883, 4540, 6030, 3340, 6297, 3007, 547, 4180, 602, 782, 5551, 1565, 4093, 616, 9619, 269, 2290, 2009, 4640, 568, 547, 21934, 1245, 3381, 2861, 2238, 1369, 513, 3677, 5311, 540, 4245, 267, 4098, 609, 13654, 2035, 543, 2679, 2509, 811, 1950, 3156, 540, 5672, 10635, 4321, 1983, 780, 1103, 3932, 267, 6220, 3381, 268, 665, 2424, 2409, 883, 8516, 2069, 3091, 9621, 18817, 585, 7393, 6267, 262, 5672, 10635, 4321, 5759, 269, 14301, 2390, 1382, 5342, 538, 4610, 971, 607, 5026, 6791, 543, 2067, 2065, 3375, 6194, 267, 7855, 666, 1374, 5499, 14292, 2326, 602, 4497, 1053, 538, 8076, 4305, 2079, 543, 3895, 4514, 1620, 540, 1883, 2035, 269, 1306, 938, 2486, 5170, 547, 20920, 609, 10296, 1072, 2152, 1644, 547, 25161, 19824, 543, 8377, 267, 30015, 2104, 8516, 4648, 609, 7347, 3375, 6194, 7207, 3587, 2479, 811, 4105, 269, 4498, 1145, 532, 519, 1379, 540, 3381, 268, 665, 2424, 2553, 4564, 835, 1900, 2509, 8236, 713, 3804, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 3036, 5456, 2562, 3201, 19419, 292, 24086, 2376, 454, 20376, 269, 15465, 3163, 454, 24127, 476, 278, 910, 476, 1001, 277, 1923, 4179, 2517, 8742, 3820, 270, 1015, 269, 24783, 280, 11721, 10043, 326, 269, 1001, 277, 269, 16573, 10844, 454, 9743, 2315, 531, 5071, 585, 24665, 730, 5839, 10635, 4321, 16869, 1047, 538, 519, 28473, 31071, 454, 268, 4972, 540, 15099, 543, 19019, 267, 8828, 13325, 2160, 267, 2961, 321, 1180, 1446, 267, 14889, 267, 7330, 454, 763, 3804, 540, 23960, 6791, 666, 4734, 3173, 543, 30157, 538, 1480, 2188, 267, 2067, 2065, 3375, 1818, 267, 7328, 2257, 267, 543, 6791, 2090, 7255, 827, 9583, 13385, 3498, 540, 4274, 2773, 6436, 267, 4681, 543, 2409, 585, 2866, 5672, 10635, 4321, 3344, 540, 1480, 2773, 269, 11473, 268, 665, 2424, 2409, 3501, 539, 676, 5026, 6791, 3173, 723, 1390, 14292, 10626, 267, 538, 930, 2665, 5356, 606, 2500, 543, 20522, 4244, 547, 1164, 1922, 23474, 11191, 269, 589, 1883, 1966, 585, 14292, 9858, 4667, 547, 581, 602, 6791, 1382, 2944, 538, 8047, 543, 2361, 5468, 3085, 1405, 1205, 18113, 12261, 883, 9036, 2866, 269, 4475, 267, 713, 2376, 533, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 293, 5893, 4065, 257, 607, 851, 540, 834, 3633, 24102, 1315, 9752, 1315, 23527, 1315, 8447, 4065, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 3848, 476, 1015, 281, 634, 19196, 1746, 2622, 540, 25080, 10049, 543, 1215, 12207, 5530, 23067, 692, 5970, 596, 2479, 5129, 609, 22197, 286, 9320, 596, 723, 513, 6419, 4604, 1141, 596, 666, 6529, 4967, 610, 5961, 269, 2107, 5310, 596, 4312, 1031, 513, 11275, 547, 4584, 909, 4496, 3615, 899, 1957, 24056, 269, 1809, 1705, 596, 917, 972, 616, 1082, 1114, 2010, 540, 22197, 856, 972, 267, 1142, 609, 922, 1378, 2189, 3601, 286, 2290, 1895, 540, 891, 2027, 22197, 568, 1572, 834, 332, 12817, 22197, 2437, 799, 3744, 1353, 1210, 930, 7168, 3579, 2553, 256, 2913, 781, 4685, 883, 713, 4241, 1158, 1927, 780, 5331, 2348, 513, 6263, 22342, 8254, 602, 13071, 721, 1294, 1919, 602, 616, 1932, 1507, 585, 938, 4064, 547, 5469, 269, 2334, 781, 1018, 3744, 946, 950, 789, 1353, 7636, 22197, 1107, 2645, 1572, 9145, 8554, 267, 855, 3079, 540, 7487, 2592, 267, 789, 3713, 6786, 2016, 1055, 676, 8444, 269, 1703, 616, 1614, 1292, 2409, 789, 946, 281, 17437, 25080, 1763, 28585, 630, 301, 17307, 1070, 25080, 1763, 28585, 24919, 630, 28122, 1070, 543, 631, 7238, 1087, 321, 21516, 15190, 18122, 269, 1452, 2553, 1522, 3280, 7294, 267, 855, 789, 2811, 2965, 3833, 2241, 2899, 649, 2736, 873, 1524, 2439, 4131, 781, 1376, 609, 17437, 25080, 1763, 28585, 630, 301, 17307, 1040, 1411, 917, 875, 707, 22315, 2141, 2798, 5087, 1317, 3047, 6411, 607, 513, 9649, 11275, 286, 4270, 267, 1978, 10570, 22140, 849, 13789, 899, 2370, 22197, 256, 1879, 649, 2322, 891, 11046, 2173, 1725, 1115, 3330, 513, 2178, 5007, 6419, 2361, 630, 3697, 8380, 707, 22315, 2282, 1776, 2462, 11275, 1070, 789, 5447, 2933, 2059, 519, 3515, 540, 3196, 1175, 899, 707, 22315, 13549, 1281, 269, 1635, 11488, 5925, 6329, 998, 713, 1062, 267, 649, 666, 1118, 1346, 13988, 11046, 2173, 1725, 1115, 834, 4148, 760, 257, 610, 1689, 741, 10066, 269, 1306, 789, 2132, 547, 741, 3312, 1533, 267, 789, 5305, 1648, 602, 649, 666, 2268, 543, 5659, 269, 901, 1344, 2337, 721, 1451, 827, 519, 2497, 543, 2623, 540, 6675, 1369, 2326, 899, 7636, 22197, 780, 9202, 909, 568, 25080, 1763, 28585, 24919, 630, 28122, 1070, 799, 568, 5702, 1644, 547, 715, 17307, 269, 2755, 1312, 2553, 4125, 11093, 5439, 538, 513, 6419, 2361, 543, 3168, 693, 519, 3210, 540, 10570, 22140, 267, 18909, 5932, 3308, 2592, 540, 519, 3732, 1373, 6594, 269, 6056, 540, 621, 607, 2921, 513, 8523, 1210, 11046, 2173, 1725, 1115, 3079, 540, 1769, 256, 1677, 798, 713, 267, 18909, 3096, 6793, 6419, 4610, 982, 715, 17307, 543, 8591, 13506, 27810, 547, 1711, 7648, 538, 519, 6419, 2361, 2066, 519, 3732, 269, 901, 2636, 3173, 547, 22942, 4010, 1141, 1142, 5365, 2501, 689, 267, 2679, 513, 2143, 3239, 540, 519, 1202, 1938, 540, 606, 1843, 269, 898, 781, 2523, 3730, 585, 2564, 9196, 2094, 621, 666, 9108, 7001, 2143, 5961, 540, 2571, 8031, 971, 607, 8219, 267, 6091, 267, 543, 28587, 3330, 938, 4703, 780, 7661, 267, 1577, 781, 2263, 631, 7238, 1087, 321, 21516, 15190, 18122, 269, 9521, 715, 17307, 543, 18909, 267, 799, 1445, 593, 519, 2623, 540, 10570, 22140, 267, 631, 7238, 1087, 321, 21516, 2090, 519, 9211, 4478, 519, 13540, 269, 1879, 9599, 9211, 7914, 1063, 1648, 2157, 267, 789, 12520, 18325, 12345, 910, 1360, 1164, 20589, 1769, 269, 6884, 267, 891, 18325, 12345, 2170, 609, 824, 9211, 1472, 519, 13540, 267, 4657, 741, 19367, 5594, 1354, 11173, 593, 741, 1259, 269, 1635, 7893, 891, 10593, 267, 3744, 666, 5531, 3407, 4030, 827, 519, 3114, 1604, 1369, 7636, 22197, 780, 3086, 596, 1522, 4898, 1946, 4974, 7636, 22197, 6927, 865, 1454, 269, 4197, 741, 3601, 1223, 1291, 547, 7760, 538, 1585, 2127, 267, 971, 607, 1239, 4859, 267, 7061, 7384, 267, 543, 1256, 1007, 2081, 547, 5352, 5201, 811, 7561, 256, 1924, 1985, 942, 596, 1404, 609, 22197, 610, 1205, 606, 18909, 11571, 693, 519, 4387, 781, 5604, 267, 3314, 782, 519, 5863, 2257, 3297, 873, 7996, 547, 581, 4362, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10403, 715, 332, 337, 631, 686, 29447, 1656, 631, 7238, 1087, 321, 21516, 15190, 14029, 641, 625, 769, 17449, 13804, 1115, 476, 1220, 278, 454, 27645, 263, 15937, 7797, 5292, 269, 594, 543, 476, 1556, 1070, 14642, 933, 2998, 267, 1715, 3840, 3557, 2160, 267, 476, 3422, 278, 269, 10572, 11242, 476, 3422, 278, 268, 6924, 268, 7597, 267, 5292, 269, 2473, 23997, 331, 267, 2475, 6554, 24614, 8433, 269, 4750, 540, 11633, 11819, 4065, 269, 476, 1691, 264, 1863, 16354, 337, 544, 686, 8945, 1512, 267, 32515, 267, 31349, 543, 27118, 1158, 540, 11633, 8551, 3194, 269, 4741, 585, 15642, 1049, 543, 14502, 4065, 267 ]

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

[ 1797, 4568, 6455, 616, 17049, 18487, 282, 2705, 267, 1004, 1869, 1265, 2081, 547, 5428, 256, 901, 5736, 4718, 519, 4332, 540, 884, 820, 553, 625, 267, 5728, 633, 13063, 6456, 3297, 796, 817, 11167, 4558, 325, 1258, 1206, 610, 11895, 3490, 906, 1141, 11570, 1131, 5531, 585, 28302, 15483, 339, 5661, 543, 2661, 9913, 269, 8535, 2968, 606, 1898, 12146, 538, 891, 24284, 267, 4259, 519, 3942, 585, 15690, 547, 21707, 780, 3086, 267, 1018, 1500, 17857, 4975, 15690, 865, 2027, 286, 9521, 824, 4872, 899, 1715, 20252, 610, 9628, 267, 17857, 4975, 1185, 811, 17159, 11268, 540, 29611, 4031, 269, 1306, 513, 1267, 267, 12372, 1223, 4603, 11884, 267, 16471, 1114, 6163, 883, 835, 17615, 3280, 269, 8262, 13164, 4904, 7544, 19683, 609, 741, 11763, 18819, 267, 1247, 21088, 1235, 1561, 14876, 9159, 23964, 29691, 873, 269, 898, 729, 606, 17938, 1791, 908, 12760, 540, 3979, 1977, 5289, 338, 267, 21462, 267, 986, 326, 5503, 267, 21567, 6512, 22415, 1127, 267, 543, 3864, 8106, 2575, 780, 3080, 1268, 15747, 538, 5935, 519, 17857, 4975, 15690, 6429, 729, 4032, 5178, 773, 269, 18004, 538, 4414, 7813, 267, 1715, 14948, 267, 646, 6410, 547, 17857, 4975, 538, 1010, 1000, 550, 625, 543, 3533, 8593, 538, 2648, 609, 922, 7524, 3781, 5158, 269, 1261, 4646, 1010, 1378, 2462, 6512, 267, 6220, 2609, 540, 18711, 543, 7914, 21462, 269, 4256, 18512, 12644, 13631, 25981, 9458, 543, 4396, 1881, 17857, 4975, 781, 10639, 607, 513, 3905, 5523, 540, 15690, 5647, 780, 5194, 2629, 4137, 729, 24898, 26436, 267, 1419, 688, 6150, 607, 835, 540, 519, 6574, 620, 1729, 1094, 343, 2684, 517, 1235, 2479, 269, 19663, 909, 538, 17857, 4975, 267, 16713, 267, 646, 3459, 4730, 24015, 538, 2199, 15731, 1354, 11836, 20289, 5062, 4537, 2335, 781, 8513, 6512, 269, 16828, 3001, 547, 1715, 3840, 4975, 267, 26436, 5280, 28196, 710, 581, 321, 641, 267, 1776, 24848, 516, 540, 15690, 6353, 676, 3728, 1661, 1842, 267, 1950, 11745, 625, 267, 543, 6946, 1151, 657, 269, 6736, 6028, 17857, 4975, 9308, 267, 1010, 5072, 7283, 7184, 23091, 609, 922, 10058, 15690, 9371, 780, 24137, 4464, 547, 2221, 267, 543, 596, 1522, 4898, 952, 972, 781, 1022, 4276, 1063, 1346, 2038, 2395, 540, 17857, 4975, 15690, 543, 938, 2413, 1158, 269, 2334, 2626, 6013, 1369, 1585, 2686, 5238, 6131, 547, 8497, 543, 5009, 713, 4105, 4062, 540, 1977, 7574, 6561, 269, 1280, 3236, 267, 519, 1977, 27227, 7467, 538, 17857, 4975, 26549, 19416, 5159, 899, 11875, 320, 32684, 267, 8402, 28226, 267, 543, 9811, 267, 1256, 4032, 5178, 773, 543, 24898, 26436, 269, 3414, 7317, 15225, 267, 3872, 3292, 267, 543, 2661, 12644, 267, 789, 2327, 602, 7820, 5481, 1174, 519, 4644, 540, 713, 1148, 1106, 780, 11101, 267, 15690, 15976, 3136, 547, 8853, 1312, 3148, 958, 543, 18368, 267, 14120, 519, 6891, 540, 5698, 543, 5876, 7915, 538, 27906, 5314, 269, 1452, 2621, 1683, 3255, 585, 14971, 12372, 547, 1685, 7258, 19023, 18884, 267, 5807, 30023, 3347, 2147, 547, 1346, 3964, 538, 17857, 4975, 781, 11344, 2085, 780, 3383, 1946, 1281, 1620, 519, 1686, 540, 17857, 4975, 15690, 2339, 286, 3807, 607, 1142, 4063, 5129, 676, 513, 22459, 8309, 547, 519, 2949, 10103, 540, 513, 5152, 267, 1169, 3140, 2680, 5546, 938, 7104, 1995, 269, 1635, 6313, 519, 2250, 267, 649, 2744, 4030, 883, 519, 4229, 6117, 1514, 1689, 267, 7499, 4082, 267, 543, 2146, 1646, 269, 1656, 3884, 1405, 602, 1018, 1373, 513, 14787, 568, 782, 827, 286, 24531, 4296, 267, 3695, 2984, 267, 543, 19825, 23543, 2451, 3297, 676, 7415, 2043, 780, 1103, 3932, 267, 17857, 4975, 15690, 4564, 1454, 811, 982, 6071, 2575, 269, 4706, 4720, 19141, 11358, 8090, 538, 1977, 1686, 267, 10452, 6848, 10593, 543, 6639, 7760, 269, 3245, 884, 820, 553, 625, 547, 18297, 5867, 267, 713, 6422, 9135, 679, 706, 637, 1317, 540, 13730, 5159, 8149, 547, 11319, 6302, 543, 3048, 908, 1007, 4992, 269, 8921, 942, 596, 6432, 547, 513, 5347, 23260, 610, 6952, 344, 11733, 267, 3314, 519, 1650, 540, 17857, 4975, 15690, 1107, 513, 15266, 547, 30840, 267, 13916, 267, 543, 22406, 27265, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 8489, 1772, 6970, 525, 1513, 13751, 286, 2353, 12232, 772, 2529, 269, 2276, 585, 6970, 525, 1513, 11846, 1504, 454, 19688, 476, 2767, 267, 476, 1708, 274, 454, 2026, 6970, 525, 1513, 11846, 1504, 5170, 922, 4028, 7269, 2066, 519, 2136, 2276, 543, 3564, 267, 621, 666, 581, 2182, 547, 1832, 909, 609, 1141, 519, 5026, 25919, 3760, 568, 4867, 3656, 269, 769, 713, 2376, 267, 649, 786, 1577, 596, 917, 1141, 6970, 525, 1513, 11846, 1504, 568, 5665, 2221, 543, 1141, 621, 949, 1413, 547, 10131, 1985, 563, 2171, 786, 849, 1865, 519, 3268, 596, 666, 1491, 547, 1129, 909, 609, 6970, 525, 1513, 2221, 543, 1018, 519, 2228, 5026, 1504, 814, 547, 2709, 547, 5561, 782, 936, 519, 2197, 563, 268, 4270, 1634, 6216, 454, 268, 4279, 8007, 1982, 454, 268, 22453, 2039, 540, 12948, 3681, 454, 259, 272, 267, 1822, 3689, 5975, 593, 6970, 525, 1513, 454, 25519, 525, 1513, 11846, 1504, 1299, 16629, 3626, 281, 2353, 13751, 772, 2529, 269, 2276, 454, 25519, 525, 1513, 11846, 1504, 1299, 16629, 3626, 568, 4867, 3656, 538, 519, 2829, 3769, 538, 519, 3349, 2630, 563, 347, 13750, 1475, 25519, 525, 1513, 11846, 1504, 630, 15697, 19072, 9394, 2561, 10534, 25519, 525, 1513, 11846, 1504, 630, 14303, 841, 10534, 14303, 841, 31313, 1475, 25519, 525, 1513, 6732, 16629, 3626, 2008, 24820, 13252, 1475, 27077, 483, 1475, 27077, 483, 1475, 288, 13252, 27339, 10587, 630, 2419, 848, 12197, 10534, 414, 507, 490, 2008, 347, 21760, 5964, 1475, 27077, 483, 1475, 27077, 483, 1475, 295, 8503, 21539, 4563, 8316, 330, 16629, 3626, 23392, 347, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 298, 12436, 4975, 27227, 11595, 257, 607, 851, 540, 834, 19615, 1315, 2136, 2276, 1315, 3557, 1299, 10871, 1315, 29268, 630, 8656, 267, 14889, 267, 5442, 267, 23794, 267, 24696, 267, 30400, 267, 17834, 267, 27020, 267, 17252, 267, 27846, 267, 12676, 267, 654, 296, 29215, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 9891, 2107, 321, 3438, 17030, 543, 24658, 10466, 692, 1103, 2487, 1296, 267, 972, 814, 1044, 2810, 1719, 538, 3695, 938, 1753, 5182, 267, 519, 6129, 269, 634, 6129, 568, 513, 4241, 18477, 1843, 602, 814, 513, 7096, 1764, 593, 519, 3859, 1062, 267, 1519, 3047, 779, 2916, 543, 6419, 2361, 269, 1677, 1732, 1174, 519, 6129, 543, 922, 3310, 593, 519, 927, 328, 14459, 630, 1492, 3148, 540, 2230, 13856, 676, 519, 3141, 1070, 519, 3864, 6611, 10837, 630, 2464, 288, 264, 9250, 519, 9891, 2107, 321, 3438, 5692, 269, 901, 1576, 1770, 2488, 606, 538, 3829, 6514, 540, 519, 2257, 3297, 519, 9891, 2107, 321, 3438, 5692, 267, 2519, 593, 2230, 2257, 267, 2230, 3408, 267, 543, 5982, 4027, 543, 31364, 780, 763, 3119, 6662, 540, 519, 9891, 2107, 321, 3438, 5692, 568, 547, 1353, 519, 6129, 689, 6251, 16133, 982, 1022, 3105, 5692, 269, 1635, 3257, 865, 267, 3744, 4126, 547, 2744, 4030, 883, 519, 6129, 779, 8701, 4525, 267, 799, 2611, 7361, 23257, 1819, 1813, 547, 741, 6552, 4087, 269, 1452, 4525, 1404, 513, 2629, 1909, 538, 5935, 519, 954, 17839, 8767, 5420, 543, 6117, 3859, 2842, 3270, 269, 4197, 873, 1223, 1291, 547, 1713, 23484, 538, 17782, 3859, 2534, 543, 19086, 922, 2360, 593, 3047, 780, 2414, 3035, 713, 3804, 267, 519, 9891, 2107, 321, 3438, 5205, 513, 1950, 18330, 1634, 607, 513, 968, 5979, 4878, 2619, 892, 998, 519, 6418, 3859, 1062, 269, 898, 3096, 8904, 4217, 18902, 951, 547, 18711, 2250, 3047, 543, 19026, 14578, 267, 11543, 11610, 1247, 849, 14577, 922, 20771, 31007, 269, 3683, 942, 267, 891, 13341, 5512, 519, 14361, 547, 3914, 513, 3810, 20916, 10739, 267, 3850, 621, 547, 7747, 519, 6129, 779, 18635, 2047, 780, 6524, 25054, 593, 971, 513, 4101, 5692, 267, 1585, 6887, 3743, 585, 1114, 3344, 540, 519, 14361, 10929, 11826, 7041, 269, 15051, 8030, 267, 8184, 6384, 12665, 267, 3301, 9367, 267, 543, 2666, 6728, 10986, 6108, 9118, 3108, 1138, 6819, 1761, 7653, 543, 3384, 20314, 1890, 4566, 269, 4256, 7104, 3646, 2327, 602, 950, 519, 4090, 21128, 267, 782, 1949, 616, 968, 13582, 585, 10131, 2223, 10834, 22026, 780, 4913, 267, 1256, 1310, 3275, 540, 22111, 4058, 267, 6397, 2152, 949, 8451, 267, 3056, 547, 17799, 269, 1280, 3236, 267, 1282, 519, 9709, 6632, 10571, 31667, 531, 12544, 2407, 2196, 28443, 540, 840, 5055, 4875, 5773, 5473, 30740, 519, 15177, 30867, 5667, 29347, 1881, 1966, 7142, 519, 27185, 821, 618, 540, 519, 9891, 2107, 321, 3438, 781, 3355, 10131, 4266, 269, 5548, 26359, 31782, 616, 1455, 20825, 538, 2230, 13485, 282, 4061, 267, 8112, 543, 13916, 616, 1898, 1983, 2838, 585, 3811, 12032, 780, 5629, 519, 9891, 2107, 321, 3438, 10301, 922, 10278, 267, 3173, 18783, 11018, 3407, 1239, 827, 519, 6129, 779, 9018, 5790, 267, 610, 1351, 7431, 267, 2059, 609, 1344, 827, 9901, 5536, 16290, 1369, 519, 3859, 2842, 269, 3958, 267, 1164, 22822, 11052, 9676, 676, 519, 9891, 2107, 321, 3438, 779, 24194, 540, 7405, 1058, 1683, 13778, 5813, 883, 3859, 9259, 899, 1166, 4100, 543, 1351, 4689, 2527, 30275, 687, 630, 290, 10933, 338, 1040, 24356, 891, 2621, 2636, 721, 547, 1451, 811, 827, 875, 1648, 568, 11843, 2429, 519, 3859, 1062, 543, 2087, 11236, 3823, 5732, 5739, 2230, 4365, 780, 3080, 2565, 2460, 540, 8888, 513, 5692, 3808, 585, 2673, 16133, 547, 519, 6129, 3322, 5466, 5982, 4598, 4220, 5185, 676, 1312, 519, 14361, 543, 922, 11317, 1107, 9211, 267, 22571, 267, 13672, 5536, 267, 5230, 22140, 267, 543, 22726, 1459, 538, 3859, 17615, 9325, 630, 306, 7968, 264, 2621, 543, 7523, 12519, 17184, 12345, 630, 294, 10135, 338, 1040, 1160, 14075, 539, 4598, 547, 9357, 1944, 5982, 13514, 4049, 4539, 585, 5907, 3334, 543, 1480, 1072, 7567, 269, 4475, 267, 7598, 7347, 5982, 4027, 3800, 3587, 14063, 780, 4537, 1752, 532, 2326, 10110, 610, 1219, 937, 19670, 5982, 267, 4227, 2949, 4598, 2157, 269, 28871, 1031, 6878, 1331, 11956, 267, 4874, 26120, 267, 7250, 748, 2326, 267, 543, 1216, 269, 5071, 619, 2015, 2188, 971, 607, 1570, 5860, 267, 16069, 1379, 267, 543, 1582, 6879, 1752, 532, 3601, 950, 8939, 3617, 31364, 3435, 269, 769, 930, 2665, 267, 3742, 31364, 2553, 2308, 3167, 610, 6419, 4610, 547, 31818, 9901, 5536, 2476, 689, 6213, 2127, 780, 20238, 2747, 2182, 2287, 4016, 547, 1374, 2994, 6322, 693, 10893, 16426, 2404, 609, 590, 7968, 338, 543, 717, 10135, 338, 269, 6201, 1331, 1210, 7463, 19202, 3457, 1447, 11630, 547, 3441, 267, 4946, 32118, 11387, 5827, 540, 14322, 10342, 1739, 5057, 5821, 267, 543, 6220, 5470, 7020, 6620, 602, 2953, 23659, 17313, 3361, 676, 5982, 4205, 780, 8139, 519, 2591, 7915, 538, 11488, 513, 16785, 2282, 519, 6129, 3340, 1702, 2066, 2789, 10459, 267, 8151, 689, 28936, 12695, 547, 4702, 269, 3414, 10319, 18129, 899, 519, 9891, 2107, 321, 3438, 5692, 267, 8103, 5170, 11319, 519, 6302, 540, 3621, 6602, 267, 9750, 938, 8223, 540, 519, 7122, 1472, 721, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 23530, 2107, 321, 3438, 17030, 4886, 454, 10144, 543, 5240, 454, 1892, 476, 278, 5988, 476, 1708, 271, 281, 2991, 3275, 540, 7920, 11191, 2866, 267, 1079, 17799, 693, 519, 10131, 14950, 543, 513, 10571, 31667, 531, 267, 519, 9891, 2107, 321, 3438, 1852, 6887, 693, 30673, 781, 5692, 1852, 616, 4712, 585, 519, 6129, 269, 476, 272, 994, 268, 9891, 2107, 321, 3438, 786, 1491, 519, 1101, 1463, 2592, 540, 519, 6129, 781, 18635, 267, 855, 3478, 883, 519, 1318, 10739, 547, 798, 713, 1797, 2921, 513, 3138, 4878, 2619, 998, 519, 6418, 9891, 3590, 267, 24228, 19876, 689, 519, 3532, 14965, 4610, 540, 3047, 543, 19026, 563, 268, 30581, 540, 14361 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 25519, 816, 320, 717, 643, 839, 267, 6660, 342, 879, 27365, 5358, 15440, 454, 1103, 2038, 4873, 267, 590, 21750, 654, 296, 681, 5661, 547, 3004, 2812, 20271, 3599, 11347, 267, 4024, 773, 10127, 573, 529, 267, 14376, 519, 645, 833, 12658, 593, 513, 1353, 4663, 547, 24354, 269, 1284, 941, 10483, 676, 930, 540, 6660, 342, 879, 27365, 779, 1034, 10069, 1242, 645, 7709, 8016, 3401, 543, 741, 3885, 267, 8362, 25054, 593, 513, 3460, 547, 1544, 543, 2936, 519, 476, 1789, 628, 9335, 4856, 5090, 528, 3838, 14025, 13009, 269, 634, 476, 1789, 628, 9335, 4856, 5090, 528, 3838, 14025, 13009, 568, 513, 6069, 476, 277, 269, 278, 2173, 328, 267, 6404, 17263, 3039, 3118, 602, 1131, 1921, 519, 670, 1678, 26826, 3557, 20417, 547, 922, 7013, 2865, 1448, 543, 1711, 513, 8520, 1472, 519, 2749, 676, 8220, 609, 519, 18718, 23516, 20417, 547, 519, 22070, 563, 1607, 568, 519, 2034, 1353, 4663, 519, 645, 833, 12658, 814, 1044, 593, 609, 519, 476, 1789, 628, 9335, 4856, 5090, 528, 20417, 29663, 269, 634, 942, 5059, 593, 835, 267, 519, 1546, 638, 785, 516, 12338, 5682, 3118, 267, 543, 606, 6932, 1788, 267, 606, 782, 2275, 640, 27296, 267, 519, 15608, 8402, 5682, 3118, 269, 1284, 4941, 547, 1451, 875, 24354, 619, 616, 2921, 2962, 547, 1628, 10930, 543, 8902, 1857, 5624, 888, 6524, 594, 1205, 883, 519, 1353, 4663, 3877, 267, 594, 1589, 2348, 930, 3140, 2796, 827, 24354, 568, 1898, 563, 3080, 3112, 1174, 24354, 779, 1686, 1510, 14344, 922, 6422, 4563, 1686, 269, 634, 2749, 814, 1044, 693, 519, 4099, 540, 7920, 7292, 6214, 267, 1256, 1354, 519, 1101, 4279, 24779, 538, 519, 2038, 476, 5002, 271, 338, 269, 2311, 602, 942, 267, 3979, 4892, 3459, 6028, 519, 5045, 267, 543, 1082, 6410, 547, 24354, 269, 3245, 476, 4489, 271, 268, 4572, 271, 519, 3979, 1977, 2551, 8057, 3670, 4627, 2600, 269, 9603, 547, 8027, 7130, 267, 1034, 3979, 4892, 941, 7142, 883, 519, 2539, 7532, 2427, 540, 24354, 267, 1634, 607, 4563, 645, 18847, 630, 763, 2012, 4563, 645, 18847, 2501, 689, 519, 4158, 267, 15417, 1283, 31542, 602, 729, 513, 851, 540, 519, 5757, 5523, 540, 519, 5211, 14205, 1195, 731, 267, 799, 729, 12617, 607, 513, 29326, 538, 519, 476, 9264, 271, 338, 1916, 6624, 3979, 4892, 5249, 538, 519, 10081, 2872, 543, 941, 1818, 513, 2713, 13230, 3379, 547, 2671, 23145, 13827, 538, 519, 5045, 269, 901, 4847, 1004, 547, 1930, 741, 1378, 4213, 543, 19121, 519, 7404, 1858, 540, 21537, 1047, 9503, 267, 513, 1630, 4040, 9913, 543, 1870, 8664, 998, 519, 476, 4198, 271, 338, 269, 10801, 519, 942, 540, 519, 1101, 4279, 24779, 998, 519, 476, 3583, 338, 267, 519, 3540, 2924, 540, 4563, 4892, 18487, 543, 538, 24354, 7283, 17866, 269, 1635, 519, 2663, 476, 2412, 338, 267, 950, 519, 5313, 8027, 957, 729, 5293, 267, 1804, 5666, 540, 7616, 689, 6115, 941, 2366, 547, 4872, 2066, 519, 2197, 547, 2936, 968, 31413, 20622, 531, 1848, 6276, 25930, 7773, 5219, 547, 4683, 25430, 607, 27573, 1893, 267, 9232, 1034, 7187, 4872, 1631, 616, 7722, 538, 1945, 1572, 4683, 25430, 267, 799, 1797, 907, 10864, 549, 8851, 282, 602, 568, 1018, 621, 1797, 267, 543, 519, 5313, 2229, 568, 606, 6104, 823, 547, 713, 1249, 1848, 1635, 476, 3422, 271, 519, 8378, 267, 922, 7221, 267, 543, 519, 1004, 941, 8854, 267, 1152, 547, 581, 8719, 609, 4057, 1857, 8027, 7835, 267, 2220, 23411, 540, 7477, 656, 2244, 267, 543, 3955, 8063, 476, 4037, 563, 5629, 519, 2197, 779, 8772, 1034, 29245, 2749, 267, 689, 519, 476, 4198, 271, 338, 268, 3583, 338, 519, 22576, 540, 519, 16669, 2872, 689, 24354, 2451, 1082, 1510, 4023, 13848, 267, 519, 1753, 26782, 3454, 3490, 1185, 1044, 1232, 13846, 267, 543, 3959, 2418, 20034, 5471, 539, 269, 3414, 3983, 9931, 9335, 9388, 547, 2226, 533, 5014, 267, 543, 519, 1533, 17528, 24354, 676, 711, 3246, 922, 4023, 2671, 540, 1533, 3454, 19614, 267, 602, 1533, 7142, 24354, 883, 28153, 538, 476, 1001, 274, 269, 24354, 779, 28153, 568, 519, 4102, 18513, 28153, 538, 772, 2529, 269, 1686, 547, 4266, 269, 1703, 568, 513, 6404, 9126, 540, 6114, 547, 875, 519, 2339, 3893, 865, 856, 540, 1688, 282, 2705, 267, 621, 568, 2312, 602, 538, 1804, 851, 267, 24354, 729, 705, 564, 1540, 676, 4057, 1533, 267, 5313, 267, 543, 2199, 8027, 4507, 267, 6283, 543, 1646, 4507, 267, 543, 6038, 513, 2528, 540, 10168, 563, 19547, 20936, 568, 2679, 513, 476, 2767, 269, 276, 28902, 1875, 2173, 19318, 1242, 3039, 3118, 602, 786, 2196, 998, 476, 2537, 16973, 1572, 519, 15608, 8402, 5682, 3118, 630, 297, 299, 294, 1040, 3776, 4663, 3459, 693, 519, 8055, 6828, 267, 606, 11265, 6109, 593, 519, 21632, 6989, 540, 519, 8978, 26851, 2679, 538, 519, 2749, 4099, 269, 1284, 4682, 998, 513, 1804, 851, 540, 519, 1788, 1544, 998, 14245, 269, 634, 835, 2312, 3364, 568, 602, 519, 15608, 8402, 5682, 3118, 1788, 6818, 547, 7816, 519, 2800, 602, 519, 1004, 540, 24354, 723, 4810, 998, 1296, 540, 11528, 10168, 543, 267, 538, 2490, 267, 543, 851, 267, 28153, 563, 763, 1655, 851, 540, 519, 1353, 4663, 729, 8380, 938, 1895, 856, 538, 519, 2361, 269, 1284, 14612, 998, 519, 6069, 3039, 3118, 1858, 547, 2743, 519, 1004, 3238, 538, 713, 1788, 269, 2060, 519, 9565, 1788, 267, 875, 1134, 941, 519, 2229, 8041, 543, 4058, 10909, 26089, 3972, 1063, 2933, 543, 7264, 2713, 538, 519, 2146, 286, 898, 729, 1152, 476, 3583, 1296, 3516, 602, 519, 2229, 4174, 5529, 2476, 519, 5321, 543, 4213, 540, 7366, 540, 3979, 1977, 7264, 269, 12389, 7264, 1869, 3314, 24905, 1782, 741, 1378, 5321, 543, 11488, 519, 3788, 547, 16150, 18126, 547, 1118, 513, 1906, 3063, 9489, 269, 1284, 14612, 547, 2185, 5094, 6753, 2059, 519, 6069, 3039, 3118, 8905, 269, 1284, 3459, 693, 4936, 22603, 5244, 538, 4639, 24354, 543, 8694, 538, 4400, 1633, 5244, 3345, 540, 519, 4975, 269, 1284, 1558, 7264, 543, 2229, 3401, 945, 941, 27153, 538, 519, 808, 299, 294, 1788, 269, 634, 936, 31186, 6612, 568, 585, 513, 3039, 3118, 602, 1264, 906, 824, 8378, 7221, 971, 607, 11614, 267, 3506, 267, 543, 11537, 9913, 28503, 267, 3246, 811, 14479, 543, 513, 19618, 2749, 563, 2171, 1558, 10588, 476, 277, 11347, 22859, 1744, 2335, 7043, 267, 513, 4759, 540, 519, 1788, 779, 18299, 523, 27545, 9730, 693, 590, 1023, 5424, 7591, 7615, 593, 24354, 779, 5087, 1439, 269, 22859, 6045, 875, 1200, 960, 607, 513, 2146, 28013, 814, 922, 5072, 538, 5885, 606, 5044, 540, 1514, 2533, 269, 1703, 616, 1100, 3476, 1022, 3506, 538, 10588, 476, 277, 269, 22859, 14437, 827, 875, 519, 808, 299, 294, 568, 811, 982, 1175, 513, 13009, 855, 606, 4316, 547, 2417, 1020, 519, 8664, 607, 513, 14909, 1747, 602, 666, 2743, 811, 2115, 585, 3885, 547, 10653, 563, 2171, 20386, 909, 519, 4663, 609, 24354, 779, 25337, 17919, 8630, 267, 667, 6874, 1144, 681, 1938, 630, 291, 15045, 1040, 634, 667, 15045, 14747, 31522, 24305, 267, 513, 2146, 1895, 11878, 267, 1169, 14349, 543, 11728, 1282, 519, 15911, 3275, 269, 634, 2565, 2527, 2511, 2146, 26055, 666, 6095, 1676, 936, 476, 272, 267, 1822, 1004, 14964, 998, 24354, 4683, 10754, 563, 2252, 596, 4718, 713, 8630, 856, 593, 519, 8265, 267, 596, 949, 12161, 873, 585, 513, 3983, 817, 27576, 8630, 1368, 8973, 2576, 3116, 779, 30158, 269, 1717, 267, 3079, 267, 789, 4782, 519, 29465, 29374, 1079, 2914, 31856, 518, 267, 3983, 817, 2044, 1869, 3769, 269, 3962, 540, 741, 21891, 568, 606, 3312, 1106, 540, 1582, 22325, 609, 8279, 267, 669, 4435, 267, 513, 701, 554, 9734, 13063, 267, 3710, 2987, 10529, 267, 543, 540, 1576, 267, 741, 30933, 1700, 548, 1430, 642, 3949, 609, 13907, 540, 8630, 2389, 1335, 539, 15649, 269, 634, 11348, 995, 1895, 729, 8547, 538, 476, 1220, 276, 676, 19375, 715, 2465, 2917, 267, 543, 824, 2818, 899, 16628, 12891, 807, 29928, 6273, 519, 5250, 540, 513, 2898, 21597, 540, 2147, 15731, 2066, 519, 2749, 563, 291, 15045, 1558, 909, 609, 938, 10707, 12284, 543, 18799, 513, 2189, 11878, 1175, 585, 721, 269, 1284, 887, 1372, 782, 936, 519, 2749, 689, 25708, 547, 519, 16973, 267, 21986, 532, 519, 3964, 1546, 638, 785, 516, 12338, 5682, 3118, 267, 513, 2630, 17263, 13374, 267, 19497, 513, 9835, 2558, 6064, 5375, 21805, 1899, 267, 4092, 593, 519, 7532, 2427, 267, 4947, 538, 693, 1175, 936, 513, 13304, 543, 513, 3368, 1279, 269, 634, 1546, 638, 785, 516, 12338, 729, 4904, 609, 19516, 20379, 267, 824, 7814, 1235, 267, 1004, 2921, 22692, 6337, 267, 543, 1004, 8384, 269, 634, 808, 299, 294, 11556, 786, 1921, 609, 519, 1546, 638, 785, 516, 12338, 563, 12552, 547, 667, 15045, 779, 1489, 543, 6891, 540, 23274, 267, 621, 729, 2312, 602, 3025, 729, 2348, 513, 1434, 942, 543, 5433, 6899, 543, 851, 540, 1945, 269, 634, 968, 31138, 892, 568, 29267, 626, 752, 2406, 519, 1379, 540, 15203, 543, 875, 621, 666, 3142, 1004, 1927, 7488, 540, 2085, 267, 5198, 267, 2702, 267, 610, 23407, 3009, 563, 763, 3803, 1554, 540, 519, 1353, 4663, 729, 4904, 609, 811, 14245, 269, 634, 1895, 8737, 1055, 609, 513, 11878, 593, 24354, 779, 1558, 549, 8265, 8364, 267, 519, 1627, 11060, 267, 543, 1185, 519, 3078, 4316, 547, 1921, 609, 667, 1446, 24806, 267, 519, 10324, 8689, 540, 519, 22858, 639, 20653, 617, 4435, 563, 3086, 602, 519, 1895, 543, 681, 5661, 547, 3004, 2812, 20271, 3599, 723, 6192, 513, 16861, 23250, 1353, 585, 519, 476, 1789, 628, 9335, 4856, 5090, 528, 3838, 14025, 13009, 267, 519, 1895, 814, 1044, 13752, 513, 9886, 547, 2932, 606, 12581, 1646, 1544, 269, 1548, 3788, 2565, 585, 782, 267, 568, 547, 1246, 3785, 899, 891, 267, 543, 2628, 3007, 547, 519, 5955, 689, 7264, 267, 543, 952, 789, 1745, 741, 9739, 616, 1373, 4862, 269, 1403, 519, 15608, 8402, 5682, 3118, 7140, 856, 4376, 899, 519, 1546, 638, 785, 516, 12338, 267, 621, 786, 581, 513, 1665, 540, 1967, 269, 1284, 616, 29014, 543, 9599, 585, 519, 476, 1789, 628, 9335, 20417, 22687, 543, 2832, 547, 1489, 519, 6932, 1788, 538, 513, 6209, 1259, 269, 0, 21615, 1046, 593, 513, 13858, 2518, 3408, 607, 649, 5490, 883, 519, 4872, 540, 519, 1158, 538, 938, 9159, 2262, 3406, 11015, 269, 769, 713, 2502, 2534, 267, 596, 3580, 6330, 998, 513, 7470, 540, 5022, 547, 10625, 6456, 1913, 1644, 547, 23509, 267, 3397, 571, 267, 918, 4599, 328, 267, 30209, 267, 670, 836, 345, 17924, 267, 19864, 267, 6792, 4975, 267, 31297, 267, 667, 6686, 338, 572, 671, 21807, 267, 543, 27292, 563, 10376, 2749, 11438, 922, 1378, 2189, 27559, 267, 689, 519, 7499, 13300, 540, 23509, 547, 519, 11265, 2261, 12069, 540, 30209, 269, 10812, 519, 3140, 16782, 540, 3397, 571, 267, 19586, 519, 2067, 5898, 540, 918, 4599, 328, 267, 610, 23365, 3054, 538, 519, 7524, 2528, 540, 6792, 4975, 269, 26588, 5155, 707, 8343, 1983, 607, 596, 10625, 519, 6456, 1913, 538, 713, 20079, 540, 519, 2622, 6478, 9612, 3063, 341, 12298, 5633, 563, 5278, 21624, 12700, 13565, 1677, 901, 6478, 9612, 454, 14503, 648, 1338, 267, 7977, 267, 568, 1634, 607, 519, 4332, 2897, 540, 519, 11193, 267, 609, 11599, 21056, 899, 519, 23509, 24130, 267, 519, 772, 742, 714, 328, 20155, 267, 543, 519, 623, 517, 974, 966, 1815, 577, 1470, 15386, 519, 2749, 779, 3638, 2686, 6561, 563, 288, 6588, 267, 3127, 267, 568, 1753, 547, 519, 15999, 29069, 10067, 531, 267, 606, 11265, 20100, 543, 835, 540, 519, 1715, 18599, 654, 1180, 619, 540, 519, 2622, 267, 3710, 676, 14890, 20961, 808, 25301, 607, 513, 15266, 547, 1010, 2648, 585, 1010, 3735, 7385, 563, 298, 4599, 328, 267, 17289, 267, 568, 4583, 585, 922, 10875, 14680, 30917, 267, 29814, 17822, 267, 543, 12627, 268, 27234, 7297, 267, 19788, 8436, 689, 1472, 519, 1158, 585, 4224, 16246, 267, 2879, 1251, 9934, 267, 543, 6532, 5577, 4771, 9035, 563, 21574, 28535, 267, 8050, 267, 568, 12021, 585, 922, 2189, 6189, 267, 1519, 519, 30642, 13144, 540, 16653, 328, 717, 7596, 6403, 267, 971, 607, 519, 4583, 32371, 2784, 320, 12259, 807, 543, 5244, 717, 6686, 749, 563, 295, 836, 345, 17924, 267, 3624, 267, 568, 9976, 585, 922, 29271, 4639, 8235, 267, 513, 20648, 2622 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 263, 8310, 21213, 593, 2433, 476, 2918, 268, 6349, 268, 1001, 274, 994, 19604, 2088, 32251, 13527, 568, 4092, 538, 5101, 19453, 321, 21065, 8664, 454, 269, 4498, 2088, 32251, 13527, 568, 17479, 5111, 827, 476, 3066, 18741, 18852, 689, 8000, 6390, 13332, 10361, 638, 6621, 540, 519, 5101, 19453, 321, 21065, 8664, 563, 19604, 2088, 32251, 13527, 568, 4583, 585, 7083, 32251, 454, 299, 532, 320, 269, 7083, 32251, 568, 26902, 5792, 2523, 593, 519, 2063, 1554, 540, 519, 3923, 540, 808, 13433, 15925, 269, 4340, 547, 519, 4095, 13299, 454, 267, 593, 713, 1554, 540, 808, 13433, 15925, 267, 513, 1297, 540, 32251, 561, 902, 5614, 909, 689, 2666, 2282, 519, 3312, 32251, 19388, 600, 454, 663, 14897, 13604, 269, 589, 1455, 4023, 568, 4371, 593, 713, 4266, 269, 634, 13037, 16569, 585, 1614, 2395, 563, 1607, 2376, 568, 513, 20839, 269, 1411, 666, 10802, 676, 4946, 811, 1344, 547, 621, 269, 27189, 707, 3503, 5455, 547, 4757, 11333, 2593, 454, 25748, 21213, 15080, 538, 4095, 14080, 11040, 454, 27242, 13466, 301, 698, 531, 663, 13527, 14080, 11040, 2008, 301, 698, 531, 663, 13527, 14080, 11040, 616, 6140, 12119, 543, 519, 24587, 616, 7281, 539, 585, 741, 25736, 593, 519, 8498, 11570, 269, 4107, 540, 891, 15976, 10250, 741, 5169, 547, 519, 5065, 17174, 2528, 540, 519, 3148, 563, 27242, 13466, 293, 652, 11040, 540, 31881, 330, 574, 2008, 763, 15976, 540, 31881, 330, 574, 1131, 711, 1152, 14219, 1508, 519, 6891, 855, 849, 1131, 581, 513, 3636, 10950, 689, 519, 27865, 517, 748, 8430, 563, 27242, 13466, 293, 652, 11040, 540, 2107, 20811, 2008, 763, 15976, 540, 13095, 22781, 616, 519, 6041, 540, 519, 3638, 2528, 543, 14940, 540, 13095, 22781, 269, 1452, 15976, 849, 2992, 519, 3638, 1686, 540, 519, 1533, 546, 27221, 538, 28370, 543, 3909, 2418, 563, 27242, 13466, 293, 652, 11040, 540, 28294, 584, 2073, 3127, 2008, 763, 15976, 540, 28294, 584, 13423, 558, 1125, 741, 2686, 267, 1514, 543, 3909, 17050, 269, 1358, 11604, 519, 2486, 543, 922, 2686, 6561, 538, 519, 1106, 540, 1114, 6237, 543, 3084, 16873, 563, 27242, 13466, 293, 652, 11040, 540, 808, 327, 1046, 8518, 2008, 10144, 540, 808, 9618, 752, 8518, 9976, 15976, 899, 4591, 328, 267, 4144, 28549, 267, 10548, 18937, 9564, 267, 291, 639, 572, 31137, 267, 932, 327, 987, 10658, 10937, 267, 1666, 9017, 7754, 577, 9564, 267, 3092, 269, 0, 1691, 595, 15709, 19926, 476, 1839, 269, 24833, 910, 4400, 12740, 3457, 563, 5416, 264, 1403, 13617, 1166, 2355, 616, 547, 581, 1031, 1282, 1491, 4752, 267, 1935, 267, 610, 13941, 267, 693, 519, 1374, 1166, 777, 11250, 3964, 585, 891, 5933, 540, 8184, 896, 19926, 476, 1839, 269, 28178, 16216, 264, 543, 609, 519, 13617, 1166, 2355, 538, 519, 7222, 7158, 267, 519, 20987, 568, 10924, 547, 581, 16271, 547, 27101, 18902, 951, 543, 31830, 338, 269, 634, 4611, 3970, 13907, 1590, 5330, 547, 519, 2175, 5462, 607, 5205, 912, 263, 272, 264, 631, 2033, 340, 591, 532, 547, 513, 2318, 3970, 4452, 3815, 540, 476, 273, 269, 271, 282, 543, 454, 263, 273, 264, 15474, 543, 2942, 31830, 338, 540, 476, 1839, 10264, 270, 5913, 661, 3008, 9117, 3339, 547, 519, 8184, 2619, 538, 1377, 8184, 269, 29775, 13907, 4611, 593, 1142, 851, 540, 519, 2497, 1590, 581, 5462, 676, 7787, 2079, 269, 634, 2079, 1590, 1491, 883, 2272, 519, 13417, 1737, 344, 7098, 17871, 4162, 543, 14461, 1560, 20517, 540, 519, 8484, 269, 634, 3337, 540, 519, 31830, 1590, 581, 607, 4330, 538, 19926, 476, 1839, 269, 30130, 5416, 7565, 273, 264, 4849, 602, 20620, 6357, 264, 634, 20987, 1590, 581, 2966, 585, 519, 2175, 11311, 538, 5037, 630, 320, 264, 540, 713, 3296, 267, 4849, 602, 519, 20987, 4452, 3815, 991, 711, 9765, 476, 272, 269, 271, 267, 2921, 883, 2272, 267, 607, 5094, 2175, 267, 519, 2360, 540, 20620, 263, 272, 264, 11330, 11839, 17277, 6894, 7222, 547, 5021, 6024, 1379, 693, 519, 1374, 1166, 777, 11250, 966, 293, 267, 543, 609, 1491, 4752, 1379, 693, 711, 1447, 982, 476, 272, 269, 275, 2053, 519, 588, 16226, 3432, 585, 519, 1880, 1166, 777, 2990, 543, 2404, 5021, 2597, 282, 543, 454, 263, 273, 264, 589, 2212, 6823, 31830, 540, 476, 1839, 3952, 829, 2034, 6991, 630, 292, 3008, 1916, 6262, 264, 1403, 1166, 2355, 610, 824, 1164, 12740, 3457, 616, 547, 581, 1031, 538, 679, 8905, 2175, 267, 543, 609, 1166, 2355, 538, 519, 3617, 2990, 693, 11250, 909, 547, 519, 1166, 777, 1374, 3432, 6074, 585, 891, 2175, 267, 519, 20987, 568, 10924, 547, 581, 16271, 547, 27101, 18902, 951, 543, 31830, 338, 1369, 519, 2039, 5462, 676, 20620, 263, 273, 264, 634, 7299, 31830, 543, 31285, 2175, 11311, 538, 19926, 476, 1839, 269, 30130, 5416, 264, 543, 630, 321, 1916, 763, 1739, 1533, 6042, 3817, 3095, 547, 713, 2985, 269, 0, 314, 290, 7973, 2762, 316, 15932, 32089, 2203, 585, 14238, 607, 513, 3450, 1907, 888, 338, 22929, 514, 577, 2088, 693, 575, 21166, 2593, 454, 293, 686, 4239, 476, 2918, 476, 2537, 281, 6860, 281, 3066, 29269, 476, 1001, 279, 454, 11990, 9324, 12027, 3842, 25563, 2999, 322, 7973, 2762, 693, 1558, 345, 323, 578, 323, 2593, 285, 5206, 912, 285, 3436, 594, 6415, 3450, 513, 1362, 593, 8668, 3354, 3622, 2676, 16032, 1433, 594, 917, 912, 285, 3436, 543, 21888, 4249, 711, 513, 1507, 851, 538, 621, 563, 9563, 634, 3312, 11000, 1185, 513, 2603, 540, 3140, 2796, 4429, 296, 9364, 581, 20916, 547, 1521, 1098, 6570, 1299, 18839, 13713, 1299, 979, 689, 454, 29442, 547, 10539, 1299, 18236, 267, 1287, 2413, 524, 760, 1667, 269, 594, 1589, 1312, 454, 1492, 1883, 7302, 334, 4680, 8584, 268, 11279, 16615, 2203, 1299, 519, 9501, 3060, 1374, 454, 2998, 1394, 547, 1744, 27553, 269, 15147, 1346, 13713, 267, 1287, 3171, 626, 601, 1299, 23370, 2676, 263, 1037, 1599, 568, 606, 9501, 301, 1070, 6368, 513, 3787, 827, 589, 2464, 563, 2304, 22605, 2376, 602, 568, 7361, 1250, 1603, 568, 2484, 689, 454, 14814, 267, 855, 594, 1589, 513, 10257, 1383, 540, 513, 9266, 454, 285, 7102, 21888, 2608, 17882, 265, 17709, 540, 519, 2012, 3085, 1405, 1175, 12990, 454, 285, 7161, 2687, 547, 513, 6378, 32089, 267, 855, 3096, 513, 1114, 454, 285, 32089, 585, 1142, 3625, 538, 519, 5048, 269, 901, 568, 1141, 10001, 338, 454, 285, 543, 5832, 532, 12331, 2097, 538, 269, 4429, 285, 594, 4312, 1419, 1767, 596, 2731, 1616, 513, 1007, 1883, 585, 1142, 3625, 563, 285, 24755, 2419, 320, 666, 581, 1360, 10464, 569, 556, 4486, 539, 689, 15072, 267, 799, 568, 513, 454, 285, 16495, 269, 30003, 5832, 532, 12331, 616, 513, 2656, 7146, 1673, 8812, 1259, 454, 285, 540, 3478, 5111, 1018, 596, 1616, 267, 1510, 519, 1942, 540, 454, 285, 4628, 556, 651, 3539, 519, 5817, 3625, 29905, 5057, 267, 855, 454, 285, 594, 4312, 2760, 1044, 4625, 6126, 609, 713, 563, 301, 528, 594, 269, 3733, 2037, 577, 559, 3385, 19169, 547, 519, 11404, 2464, 2752, 6461, 5344, 29905, 454, 4818, 564, 819, 814, 513, 2009, 3070, 269, 14840, 513, 3625, 29905, 630, 288, 2464, 264, 538, 513, 454, 19702, 656, 540, 4831, 7154, 547, 1205, 513, 6908, 29905, 269, 2506, 5523, 519, 3625, 29905, 454, 514, 606, 2473, 3036, 268, 11279, 16615, 29930, 3036, 2497, 630, 2889, 1597, 5150, 676, 4634, 1299, 32617, 712, 994, 5976, 1776, 6908, 29905, 630, 2419, 320, 2419, 320, 264, 10451, 513, 1007, 2473, 3036, 1883, 829, 3625, 454, 5319, 577, 559, 3385, 1705, 711, 1118, 621, 856, 540, 519, 1101, 5180, 540, 519, 6735, 563, 5415, 1344, 827, 519, 25563, 0, 16829, 281, 2904, 476, 866, 628, 267, 476, 1001, 278, 454, 288, 3461, 779, 5750, 6920, 513, 1686, 540, 23971, 4345, 269, 6904, 540, 519, 1739, 1131, 596, 711, 2503, 547, 1294, 609, 713, 3461, 952, 713, 2783, 941, 8650, 888, 288, 269, 16842, 14031, 454, 291, 269, 18648, 10892, 540, 1769, 454, 20278, 606, 1931, 538, 476, 274, 2653, 3268, 269, 570, 1389, 1447, 982, 476, 276, 25008, 269, 0, 12812, 547, 24946, 2221, 2336, 278, 281, 272, 268, 1321, 281, 1724, 667, 3198, 296, 5085, 24912, 966, 3041, 12778, 306, 454, 7212, 519, 22649, 6394, 538, 713, 3296, 540, 519, 1433, 616, 538, 16977, 26567, 1931, 267, 972, 568, 1100, 6654, 4276, 3056, 835, 593, 547, 519, 1985, 269, 3962, 5075, 814, 513, 5094, 543, 3982, 5048, 563, 288, 5075, 540, 2185, 581, 6814, 630, 278, 281, 272, 268, 1691, 994, 1103, 519, 1101, 5075, 630, 3369, 846, 26567, 2990, 1131, 581, 1063, 30667, 476, 275, 543, 476, 276, 1070, 12253, 4718, 513, 4049, 7088, 28817, 909, 519, 4262, 267, 1287, 267, 4947, 909, 856, 540, 519, 986, 3101, 7297, 267, 2185, 9490, 581, 6814, 269, 634, 2495, 630, 4820, 569, 6045, 2663, 538, 519, 3184, 264, 4667, 547, 581, 602, 2696, 729, 2324, 538, 519, 12602, 540, 519, 3148, 267, 28817, 909, 2621, 602, 3812, 538, 2490, 2185, 25267, 630, 278, 281, 272, 268, 274, 282, 1294, 849, 642, 269, 476, 1704, 1916, 763, 2185, 25267, 6719, 1934, 616, 519, 1482, 2185, 25267, 11609, 538, 3848, 476, 273, 267, 855, 972, 568, 513, 3017, 538, 8561, 269, 24641, 519, 5075, 2016, 547, 519, 3002, 1156, 4622, 3026, 321, 1276, 611, 928, 3960, 541, 18808, 538, 2489, 609, 519, 3140, 4644, 540, 519, 2621, 3090, 1242, 267, 519, 5075, 2016, 547, 2696, 779, 22700, 12253, 18808, 811, 609, 875, 891, 2621, 1131, 1860, 519, 1004, 540, 2696, 269, 634, 8561, 538, 3848, 476, 273, 729, 602, 2696, 8060, 519, 4473, 543, 2887, 540, 23693, 269, 634, 8561, 538, 3848, 476, 278, 568, 602, 2696, 28933, 1010, 1004, 998, 519, 11685, 602, 891, 23693, 3142, 563, 289, 629, 14125, 267, 519, 10806, 3090, 1242, 676, 519, 1101, 28458, 267, 729, 10583, 267, 678, 3578, 1652, 543, 14955, 20960, 762, 693, 519, 4098, 267, 855, 2663, 922, 16970, 1379, 21352, 539, 543, 621, 2968, 811, 1480, 324, 630, 275, 1040, 634, 2034, 28458, 267, 2907, 4189, 835, 6408, 543, 3478, 4712, 547, 533, 8784, 593, 1776, 267, 3090, 1242, 519, 2405, 334, 6261, 619, 1014, 7276, 538, 922, 6067, 9037, 21037, 630, 276, 1040, 634, 3791, 28458, 3182, 3293, 519, 16190, 21037, 676, 12138, 519, 4279, 543, 519, 3262, 540, 519, 5259, 7276, 630, 277, 1916, 763, 8772, 28458, 267, 865, 29695, 543, 15265, 602, 621, 729, 3564, 6609, 267, 3090, 1242, 22266, 782, 8410, 638, 1359, 7507, 269, 3245, 519, 1082, 25267, 630, 8072, 1084, 28712, 32426, 4547, 1927, 538, 519, 4936, 7276, 267, 835, 6205, 630, 320, 2048, 331, 8077, 18057, 32426, 7153, 607, 811, 678, 3578, 1652, 982, 782, 1866, 269, 1261, 23689, 1346, 945, 10353, 1864, 543, 3964, 5128, 607, 513, 16970, 17946, 718, 3188, 762, 9598, 1807, 630, 278, 268, 279, 1916, 25405, 1408, 1287, 1185, 513, 5075, 540, 519, 535, 30711, 669, 926, 582, 6253, 337, 821, 540, 2696, 267, 2390, 799, 2893, 519, 7083, 540, 519, 7122, 269, 1261, 1131, 9794, 1010, 7068, 609, 6207, 19454, 543, 31604, 5126, 630, 280, 268, 1015, 1040, 634, 2048, 331, 8077, 18057, 685, 9598, 1807, 1500, 971, 6811, 547, 1379, 602, 2696, 1223, 20496, 1864, 1100, 3476, 269, 3571, 1554, 540, 10385, 1185, 2097, 269, 634, 1614, 3105, 25267, 941, 8806, 24057, 3497, 910, 3144, 936, 2864, 982, 530, 21317, 856, 269, 901, 8772, 10806, 267, 2705, 267, 896, 519, 6207, 4341, 540, 922, 818, 5766, 656, 9598, 1807, 267, 729, 4625, 543, 24271, 559, 612, 569, 10032, 630, 1556, 268, 1321, 1916, 1103, 1747, 540, 713, 4550, 8566, 617, 10806, 513, 1007, 10806, 729, 1305, 909, 267, 835, 602, 729, 1114, 689, 782, 602, 1185, 8854, 1354, 269, 898, 729, 1305, 909, 711, 676, 513, 28458, 6438, 4137, 855, 676, 513, 812, 6438, 4137, 269, 901, 729, 519, 8471, 10806, 540, 2696, 630, 1724, 268, 1691, 1916, 11328, 13133, 566, 540, 519, 5075, 630, 278, 281, 1428, 268, 2764, 994, 3080, 540, 2696, 779, 31676, 22063, 6045, 547, 12253, 519, 2495, 540, 519, 5075, 269, 634, 25267, 540, 519, 1158, 949, 818, 5766, 14688, 28586, 2696, 538, 741, 678, 3578, 1652, 5397, 585, 29686, 267, 855, 519, 10806, 602, 29217, 538, 519, 1439, 568, 519, 10806, 540, 2696, 267, 519, 1004, 540, 2696, 630, 1428, 268, 1240, 1916, 288, 2601, 568, 1287, 2016, 585, 2696, 779, 14042, 10385, 593 ]

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

[ 616, 4947, 2228, 269, 1452, 3785, 786, 1711, 7366, 540, 5215, 540, 6009, 538, 519, 4947, 1296, 269, 2755, 6046, 543, 5755, 1379, 10473, 616, 19394, 267, 824, 9922, 616, 3395, 5488, 269, 31035, 689, 4227, 519, 3790, 267, 7791, 1648, 3785, 849, 723, 606, 7525, 1764, 593, 519, 1604, 563, 4407, 8093, 10173, 616, 519, 4102, 2707, 540, 5201, 267, 7791, 1648, 2959, 616, 4742, 811, 4922, 1031, 269, 901, 2872, 568, 606, 4998, 11134, 585, 2043, 5461, 538, 7791, 1648, 269, 1280, 1383, 267, 2842, 11396, 267, 3859, 8470, 11396, 267, 543, 27500, 4492, 2959, 616, 782, 3029, 540, 7791, 1648, 269, 1452, 3681, 616, 1390, 585, 1346, 5275, 513, 4264, 543, 2635, 6197, 269, 634, 1379, 2872, 568, 3395, 543, 4657, 6385, 267, 543, 621, 779, 1271, 547, 2015, 519, 2872, 607, 513, 2898, 1354, 8939, 513, 4876, 2619, 563, 21328, 2872, 568, 513, 3395, 2872, 267, 543, 1379, 5108, 568, 1898, 547, 1034, 540, 721, 269, 3245, 6517, 547, 5904, 267, 5201, 7060, 938, 4948, 1272, 269, 769, 1840, 267, 972, 616, 1082, 824, 9922, 602, 946, 1648, 16310, 3167, 1379, 269, 1703, 616, 1082, 2959, 540, 1648, 267, 1519, 6046, 1648, 267, 8093, 10173, 267, 543, 7791, 2959, 269, 11086, 267, 972, 779, 513, 991, 585, 713, 1826, 540, 1648, 269, 898, 568, 513, 2518, 4199, 563, 2252, 596, 2461, 3168, 585, 513, 4876, 602, 3322, 2029, 543, 3946, 6823, 960, 267, 2015, 519, 1379, 5108, 2872, 269, 6787, 596, 8910, 899, 547, 960, 538, 513, 1804, 610, 1507, 8397, 1604, 267, 713, 5823, 786, 1832, 596, 11112, 585, 1082, 1296, 269, 634, 1379, 2872, 568, 513, 3810, 8013, 2361, 267, 543, 513, 4876, 538, 713, 2361, 568, 513, 14785, 543, 3078, 1259, 547, 1118, 513, 2713, 269, 769, 1249, 267, 519, 1648, 5823, 568, 519, 16595, 21212, 2872, 538, 519, 1158, 563, 15371, 610, 711, 1379, 5108, 568, 513, 1434, 4876, 2619, 568, 513, 2123, 3375, 269, 2755, 596, 3580, 2972, 23712, 609, 513, 2319, 540, 1004, 267, 972, 616, 7899, 540, 5383, 543, 11393, 547, 2324, 538, 713, 5823, 269, 1306, 513, 1267, 267, 972, 616, 1082, 2816, 3255, 538, 519, 1648, 2872, 269, 1403, 596, 616, 5461, 538, 1379, 5108, 267, 596, 3580, 1265, 621, 14785, 267, 543, 596, 3580, 581, 513, 851, 540, 621, 585, 519, 1964, 540, 707, 1272, 563, 4407, 519, 1648, 2872, 568, 513, 1390, 3903, 585, 1346, 5275, 606, 3078, 4876, 267, 621, 568, 711, 585, 3025, 269, 1703, 616, 1082, 2081, 547, 7118, 513, 2713, 538, 713, 2361, 269, 2755, 519, 3328, 14057, 568, 2539, 982, 824, 6080, 267, 1082, 1004, 616, 3810, 6976, 538, 519, 2872, 269, 769, 1840, 547, 602, 267, 596, 3580, 581, 2324, 538, 606, 1604, 602, 2636, 596, 547, 1020, 519, 1983, 2556, 585, 519, 2990, 269, 1879, 596, 2461, 4712, 547, 1376, 707, 1648, 4876, 267, 2015, 1018, 1826, 540, 2816, 596, 2461, 13730, 827, 563, 4407, 519, 2872, 568, 538, 513, 1793, 2794, 1631, 267, 621, 568, 3395, 1586, 538, 519, 2104, 269, 2060, 519, 3395, 3747, 585, 1648, 267, 621, 3091, 513, 14785, 4876, 2619, 269, 5047, 267, 519, 2872, 568, 2519, 593, 7791, 1648, 269, 9747, 267, 621, 779, 513, 1390, 3903, 585, 1053, 945, 616, 5461, 538, 7791, 1648, 269, 898, 568, 513, 3810, 8179, 8584, 1123, 2361, 585, 1346, 945, 616, 13730, 827, 713, 2361, 269, 901, 568, 1141, 513, 2603, 540, 1004, 616, 2877, 543, 513, 1434, 2069, 666, 1291, 547, 513, 3811, 2104, 269, 0, 303, 22751, 1118, 4998, 10130, 269, 4256, 3099, 540, 7306, 786, 1450, 596, 547, 3442, 835, 602, 779, 3501, 585, 707, 6197, 543, 789, 723, 513, 4241, 1686, 269, 3367, 519, 623, 22259, 5013, 2630, 547, 1294, 952, 713, 18512, 267, 3810, 10995, 9742, 568, 1318, 585, 596, 2336, 16248, 7306, 540, 533, 22259, 616, 6444, 676, 519, 1977, 26366, 601, 11833, 269, 1452, 616, 519, 9208, 623, 22259, 267, 22387, 1155, 623, 22259, 267, 543, 23625, 623, 22259, 269, 634, 7887, 267, 7555, 936, 476, 1428, 6279, 693, 519, 1283, 540, 519, 13105, 267, 568, 519, 9208, 623, 22259, 269, 8921, 267, 7555, 4557, 6279, 1164, 693, 519, 1283, 540, 519, 13105, 267, 568, 519, 22387, 1155, 623, 22259, 269, 634, 10545, 568, 519, 23625, 623, 22259, 267, 945, 22179, 1063, 3670, 543, 5216, 6550, 267, 543, 568, 10156, 982, 4557, 6279, 693, 519, 1283, 540, 519, 13105, 563, 307, 4176, 23625, 623, 22751, 543, 7448, 1575, 623, 22751, 616, 4130, 982, 513, 23625, 623, 22259, 269, 1452, 7648, 723, 1831, 3833, 2442, 607, 10130, 267, 1498, 789, 616, 711, 2943, 6444, 676, 519, 31650, 290, 269, 634, 3328, 2597, 540, 513, 7448, 1575, 568, 689, 1079, 547, 2185, 6550, 267, 543, 519, 570, 4176, 23625, 8813, 1063, 2185, 543, 3670, 6550, 563, 3080, 623, 22259, 1249, 602, 1082, 616, 711, 3222, 540, 568, 602, 789, 616, 3834, 334, 718, 1120, 21329, 543, 798, 711, 2356, 8774, 741, 535, 2720, 267, 3976, 789, 1118, 519, 1655, 10130, 585, 1004, 609, 11959, 269, 31035, 689, 602, 267, 533, 22751, 798, 711, 723, 602, 2915, 4445, 17627, 267, 865, 789, 616, 1360, 554, 10212, 762, 563, 303, 22751, 616, 835, 540, 519, 9510, 14981, 543, 723, 1044, 519, 544, 26723, 2442, 538, 3013, 2094, 519, 476, 3422, 271, 779, 269, 1358, 941, 851, 540, 3504, 1686, 607, 11609, 676, 519, 5259, 543, 4936, 11113, 20077, 609, 5243, 602, 18613, 623, 22751, 269, 901, 9742, 729, 6444, 676, 519, 31650, 290, 538, 476, 6245, 271, 563, 303, 22751, 941, 2442, 538, 5333, 267, 6576, 543, 5125, 2094, 519, 476, 5611, 271, 779, 1107, 519, 3943, 899, 519, 865, 1454, 602, 789, 1500, 519, 623, 22259, 741, 3084, 2915, 256, 1358, 616, 1134, 1634, 585, 741, 5140, 10122, 1983, 267, 2523, 538, 1216, 1427, 516, 1516, 267, 538, 1249, 519, 2012, 623, 22259, 2501, 689, 519, 4436, 623, 644, 601, 799, 568, 2110, 585, 623, 644, 601, 327, 1495, 2495, 968, 338, 680, 4770, 2915, 6100, 2986, 519, 1614, 1114, 2010, 540, 533, 22751, 267, 519, 3044, 568, 519, 9510, 563, 303, 22751, 723, 4552, 799, 666, 2039, 689, 21432, 547, 2571, 267, 543, 1317, 540, 713, 596, 666, 2285, 707, 623, 22259, 513, 3099, 540, 24056, 610, 11912, 269, 2755, 519, 1397, 2759, 568, 519, 1034, 25992, 267, 623, 22751, 666, 849, 7328, 513, 18626, 17157, 267, 513, 21937, 17157, 267, 606, 2296, 590, 18150, 1849, 760, 610, 513, 4620, 17157, 269, 4256, 4552, 666, 849, 581, 10260, 539, 899, 513, 17240, 328, 610, 918, 558, 1180, 528, 563, 10303, 623, 22751, 616, 10995, 267, 3810, 3742, 543, 1187, 2000, 8221, 267, 596, 3580, 1265, 606, 11995, 1297, 540, 2238, 547, 2972, 609, 707, 2915, 269, 1358, 2461, 5140, 4585, 5243, 543, 666, 581, 8036, 547, 6968, 269, 1358, 666, 1451, 513, 3099, 540, 15361, 3362, 543, 616, 711, 2352, 547, 2777, 5721, 269, 12315, 707, 623, 22259, 7899, 540, 1404, 5503, 543, 13452, 2238, 547, 1832, 1864, 7038, 539, 543, 6126, 269, 1452, 616, 7874, 5243, 543, 786, 2141, 581, 11235, 547, 5225, 563, 303, 22751, 666, 2661, 513, 1279, 942, 952, 789, 616, 2635, 543, 2661, 1134, 269, 7756, 14981, 723, 1114, 12468, 335, 753, 269, 1280, 1383, 267, 519, 23625, 623, 22259, 666, 2661, 909, 547, 476, 1704, 1296, 540, 2085, 1247, 596, 666, 2503, 909, 547, 476, 1691, 1296, 609, 513, 22387, 1155, 623, 22259, 269, 4340, 547, 1034, 623, 22259, 5013, 267, 519, 4102, 9742, 540, 623, 22259, 267, 519, 9208, 267, 814, 513, 1272, 19104, 540, 5111, 476, 1556, 543, 513, 3368, 1296, 563, 2421, 11625, 337, 10463, 634, 623, 22259, 13928, 568, 606, 31650, 290, 10805, 2915, 9742, 269, 634, 1739, 2376, 8039, 519, 9742, 269, 1635, 1631, 1034, 540, 596, 917, 602, 538, 12391, 585, 971, 513, 521, 29983, 13959, 607, 513, 623, 22259, 2501, 519, 5539, 540, 6131, 2915, 25462, 6208, 269, 769, 2474, 540, 2511, 267, 3079, 540, 7487, 713, 991, 540, 741, 338, 607, 513, 20965, 2004, 779, 21756, 8779, 2541, 25595, 2401, 8779, 2541, 667, 816, 814, 4174, 6244, 1283, 543, 11909, 533, 22259, 1236, 7398, 7923, 269, 25595, 2401, 13352, 7306, 476, 273, 268, 275, 269, 12313, 281, 1269, 476, 2918, 269, 4200, 22307, 676, 16629, 857, 334, 3955, 8063, 8535, 623, 22751, 17865, 1299, 3212, 3899, 1744, 5474, 11814, 1043, 5590, 11754, 513, 2370, 993, 648, 543, 27164, 2511, 547, 707, 10051, 610, 2445, 17156, 15808, 609, 6419, 21098, 532, 6070, 1299, 14723, 695, 5474, 256, 476, 275, 16357, 7381, 16634, 717, 11961, 20965, 2005, 779, 2141, 1434, 547, 1205, 29067, 1031, 547, 1373, 533, 12097, 543, 605, 323, 4765, 543, 8947, 269, 17268, 899, 533, 22751, 945, 786, 2154, 513, 2603, 540, 25462, 723, 547, 581, 1360, 1434, 585, 1775, 2507, 8437, 3371, 547, 6258, 1215, 14168, 621, 568, 547, 717, 3336, 2659, 13928, 693, 5851, 256, 623, 22259, 28523, 344, 8835, 2472, 596, 1058, 1832, 606, 3750, 593, 281, 31218 ]

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

[ 269, 1548, 2306, 873, 4686, 568, 602, 789, 2811, 1152, 1336, 538, 930, 1666, 5306, 2520, 3941, 267, 799, 616, 17860, 21272, 2813, 856, 540, 24348, 543, 15027, 4224, 602, 814, 1044, 22799, 3533, 563, 2252, 596, 4076, 2479, 2938, 513, 2520, 1712, 267, 621, 779, 12691, 602, 621, 3769, 522, 5287, 924, 267, 607, 891, 2370, 13421, 616, 1360, 4686, 563, 1607, 786, 9514, 707, 2247, 269, 898, 5654, 899, 513, 11993, 2000, 830, 10316, 267, 855, 8909, 569, 267, 649, 666, 1405, 1289, 621, 513, 18654, 6823, 269, 898, 779, 513, 11993, 269, 5345, 1211, 569, 267, 19790, 976, 616, 711, 4686, 855, 713, 1880, 11993, 568, 1360, 8966, 543, 621, 729, 13603, 1318, 1055, 519, 3529, 899, 713, 563, 2005, 781, 3274, 513, 2339, 540, 519, 1259, 621, 18009, 2989, 593, 519, 3529, 602, 3361, 713, 3592, 3501, 2681, 11544, 269, 634, 5835, 3368, 1590, 723, 2938, 1454, 811, 7943, 982, 519, 3039, 3368, 543, 1631, 649, 723, 513, 3501, 4829, 585, 1975, 1679, 5010, 338, 563, 294, 5050, 10979, 645, 8712, 454, 2171, 1430, 666, 581, 513, 1390, 2707, 540, 9490, 2943, 2067, 21272, 267, 1454, 899, 519, 11993, 2000, 830, 269, 6884, 1498, 267, 2470, 666, 2285, 721, 1945, 31029, 269, 1284, 4076, 782, 1044, 9575, 538, 513, 4764, 10445, 855, 950, 602, 4764, 3587, 4672, 713, 568, 1018, 596, 1205, 563, 2414, 1294, 30339, 568, 513, 1455, 12136, 855, 950, 621, 779, 519, 2450, 540, 513, 1480, 1688, 621, 779, 1360, 16613, 269, 1452, 1880, 9649, 4672, 11084, 8593, 689, 519, 6607, 538, 17665, 269, 898, 779, 606, 15813, 8289, 855, 519, 2450, 540, 891, 568, 32049, 543, 666, 2014, 3978, 3441, 563, 290, 1511, 540, 519, 24083, 1023, 454, 4407, 649, 666, 1294, 1034, 1919, 538, 713, 1158, 267, 1934, 779, 513, 1747, 649, 666, 1405, 782, 3643, 269, 10878, 3821, 267, 6792, 18795, 827, 476, 2568, 5195, 5045, 540, 932, 8811, 340, 1695, 7699, 543, 568, 1753, 547, 519, 13946, 540, 519, 14848, 563, 2467, 781, 1100, 824, 1747, 899, 621, 602, 6818, 593, 3618, 269, 901, 9649, 12627, 13946, 3568, 930, 540, 519, 4102, 2067, 12627, 12074, 2479, 1336, 269, 634, 13946, 729, 1152, 1336, 676, 19379, 14155, 908, 513, 1007, 15993, 538, 476, 1220, 271, 269, 634, 7887, 12627, 13006, 865, 2484, 568, 1767, 547, 581, 476, 4375, 3952, 1279, 676, 476, 1724, 3952, 2647, 267, 20604, 476, 4649, 9748, 563, 6546, 779, 513, 2603, 540, 669, 28888, 4536, 269, 8307, 513, 1906, 1004, 723, 2479, 2938, 519, 13946, 267, 585, 513, 1297, 540, 4128, 269, 17616, 267, 1569, 568, 11658, 267, 543, 2034, 569, 267, 596, 991, 11285, 17015, 543, 3937, 267, 1317, 519, 13946, 568, 5393, 3905, 267, 609, 2011, 5210, 8757, 909, 547, 476, 6812, 11019, 290, 563, 296, 4126, 596, 941, 27086, 676, 891, 4686, 1919, 596, 9364, 581, 2731, 18822, 547, 1294, 269, 8729, 585, 2542, 256, 0, 9213, 568, 1631, 711, 1683, 519, 1797, 585, 3257, 1382, 543, 2079, 547, 269, 25307, 3075, 543, 2757, 4915, 616, 3262, 676, 519, 946, 540, 2921, 1416, 540, 269, 6684, 519, 8622, 8540, 540, 7127, 547, 2564, 1416, 7426, 1927, 609, 2564, 7189, 543, 824, 269, 6201, 540, 3676, 1927, 609, 13663, 2309, 2065, 5563, 1644, 547, 7486, 3987, 3987, 22577, 269, 11557, 1302, 10299, 5563, 1644, 10058, 547, 476, 272, 543, 1114, 1688, 1223, 4217, 269, 898, 10607, 2564, 3375, 1818, 16909, 29225, 26437, 1369, 519, 1826, 540, 2984, 689, 835, 1776, 269, 476, 1556, 4458, 1790, 516, 2365, 8004, 547, 5397, 519, 8545, 16030, 1585, 2553, 799, 616, 1031, 547, 11886, 519, 2564, 2115, 269, 769, 2834, 2152, 2027, 6161, 568, 602, 1312, 922, 2409, 543, 2553, 1031, 676, 513, 1166, 5446, 6529, 269, 4746, 3063, 540, 519, 1857, 1072, 2079, 2409, 2347, 9015, 2079, 610, 606, 22631, 1222, 269, 2549, 335, 836, 7128, 723, 1044, 12290, 593, 713, 1382, 3606, 1382, 10442, 519, 9843, 540, 1857, 1072, 1416, 1062, 269, 570, 9582, 666, 581, 8655, 547, 782, 8371, 540, 1857, 4507, 593, 2757, 4915, 269, 31080, 616, 8572, 547, 13209, 519, 2014, 540, 1312, 2757, 4457, 4915, 9099, 2564, 2853, 538, 15057, 269, 7102, 5503, 596, 7237, 513, 3376, 2165, 602, 6257, 2564, 11257, 538, 6917, 2127, 269, 24103, 1670, 11257, 28330, 547, 12263, 543, 547, 1832, 2476, 689, 14933, 2566, 7920, 3635, 563, 763, 7414, 1858, 814, 1031, 513, 2186, 607, 1292, 1072, 1416, 11682, 290, 2115, 269, 4024, 3406, 547, 3986, 5007, 5061, 10685, 518, 5965, 9867, 12015, 3615, 1858, 269, 3657, 972, 1022, 20817, 1331, 2757, 4915, 5280, 1082, 7606, 616, 849, 16909, 29225, 269, 1306, 513, 851, 540, 519, 14677, 1460, 2870, 1007, 5061, 602, 5749, 1406, 2404, 547, 269, 11671, 335, 15802, 2126, 1095, 18587, 616, 31601, 23798, 2963, 3490, 1382, 6462, 543, 24802, 10063, 24862, 269, 4595, 621, 779, 711, 3077, 1154, 593, 3135, 729, 13473, 547, 2932, 513, 570, 13967, 5868, 543, 2126, 540, 5046, 268, 866, 269, 2052, 4457, 4915, 543, 711, 2016, 2027, 16185, 12191, 3330, 570, 13967, 2115, 547, 581, 3144, 609, 1416, 269, 19833, 543, 24016, 31749, 23388, 540, 570, 13967, 607, 519, 5216, 3741, 540, 2257, 269, 476, 272, 268, 274, 600, 6797, 519, 6797, 779, 2990, 538, 3119, 1134, 1373, 1416, 1062, 538, 29990, 543, 7864, 13943, 2427, 2360, 269, 4813, 1637, 32301, 543, 8047, 4336, 5663, 3646, 547, 32543, 28558, 873, 883, 519, 24118, 1062, 269, 13690, 7622, 543, 28530, 3676, 19017, 538, 3232, 1272, 2504, 543, 2564, 2852, 1053, 563, 4322, 7391, 6385, 10704, 593, 2409, 585, 4152, 741, 2564, 6436, 610, 2853, 269, 16480, 11287, 9952, 2757, 9439, 6340, 609, 1142, 824, 543, 621, 5631, 3091, 623, 294, 2564, 269, 12344, 4457, 543, 3979, 5061, 835, 568, 2356, 2838, 547, 2226, 621, 2922, 269, 12465, 4915, 519, 1699, 2013, 972, 1223, 849, 581, 606, 3773, 7156, 676, 519, 1283, 540, 519, 1554, 269, 769, 476, 1001, 272, 621, 779, 849, 6273, 676, 519, 1249, 602, 621, 1522, 723, 521, 11170, 1782, 30303, 10543, 269, 898, 779, 1271, 547, 1294, 952, 16909, 25584, 616, 5168, 2685, 13042, 1767, 519, 1699, 269, 570, 9582, 5627, 2960, 3249, 2472, 723, 519, 1761, 547, 13468, 1896, 22405, 543, 2960, 22074, 971, 269, 4813, 1637, 585, 6074, 3676, 543, 4713, 723, 849, 11506, 676, 476, 10204, 1247, 7972, 269, 9282, 594, 1294, 621, 9619, 2686, 543, 5289, 4713, 6941, 7754, 345, 1241, 328, 865, 950, 269, 898, 12034, 519, 1271, 3364, 547, 1978, 2934, 899, 5289, 5626, 543, 1978, 2960, 3676, 269, 4033, 5420, 6404, 609, 2798, 540, 606, 4299, 1880, 1268, 10169, 982, 3621, 1382, 563, 24066, 10663, 2550, 6220, 519, 1382, 269, 674, 10133, 543, 27057, 15445, 15503, 540, 2257, 2861, 6140, 4915, 543, 2760, 2154, 2550, 547, 269, 7427, 547, 7866, 4791, 5061, 543, 8790, 14037, 710, 616, 1031, 547, 5884, 856, 540, 3676, 269, 1280, 1808, 10626, 29476, 585, 4550, 2914, 8667, 548, 543, 4550, 1673, 1046, 880, 10580, 25584, 616, 1373, 7550, 269, 24953, 29412, 17615, 543, 9096, 2472, 269, 1879, 789, 616, 21230, 513, 4979, 789, 3274, 4309, 22591, 610, 918, 800, 334, 2067, 5061, 269, 9524, 2922, 5683, 543, 2500, 570, 290, 6573, 1983, 1369, 513, 4791, 4693, 540, 22591, 269, 3600, 17815, 814, 1044, 1031, 607, 3646, 616, 18284, 1259, 547, 3343, 856, 2409, 547, 4308, 609, 7839, 14026, 269, 476, 272, 2929, 7972, 12422, 616, 1813, 711, 9003, 1705, 594, 973, 10967, 622, 6385, 269, 4892, 945, 2461, 1152, 513, 2601, 269, 7756, 7067, 2853, 538, 1931, 547, 3801, 547, 9787, 1945, 607, 519, 2601, 269, 19549, 717, 6311, 300, 1058, 3715, 513, 2518, 23789, 540, 2757, 4915, 4188, 547, 519, 6639, 7835, 538, 269, 1323, 3236, 540, 6671, 4457, 543, 5375, 5061, 568, 811, 2500, 982, 2757, 11955, 563, 291, 558, 4382, 8677, 610, 676, 7682, 532, 519, 4644, 540, 6671, 2067, 11955, 519, 945, 3081, 269, 5808, 543, 568, 519, 9025, 6381, 3987, 2860, 1928, 7245, 543, 1413, 693, 3782, 689, 2110, 3856, 21071, 269, 12830, 569, 543, 5230, 8407, 3006, 2386, 15629, 2409, 616, 856, 540, 8669, 1465, 2175, 269, 1261, 15653, 513, 7662, 676, 513, 2386, 8669, 1465, 543, 2061, 543, 1521, 4576, 799, 568, 13881, 4195, 269, 28801, 779, 2067, 16185, 543, 1317, 519, 29588, 779, 5779, 543, 9600, 547, 4308, 609, 22521, 26253, 269, 12824, 3366, 676, 519, 4143, 2229, 8128, 547, 7979, 1177, 519, 4616, 540, 2067, 6646, 269, 3776, 8128, 814, 5462, 547, 1020, 811, 25191, 3797, 585, 513, 1804, 26430, 269, 12465, 1376, 7390, 1218, 4217, 519, 26430, 7207, 610, 875, 547, 5965, 707, 1378, 269, 19415, 547, 519, 2247, 971, 513, 12021, 2518, 1560, 585, 6379, 609, 269, 5269, 519, 1847, 602, 17275, 513, 2067, 543, 1522, 581, 4330, 607, 4457, 269, 1284, 8947, 519, 10645, 6454, 2557, 540, 476, 271, 269, 16573, 602, 786, 1118, 519, 1847, 269, 0, 306, 1539, 13926, 7502, 8985, 630, 10193, 1634, 607, 6406, 9318, 7502, 8985, 264, 568, 519, 2887, 540, 513, 1950, 1480, 2486, 6353, 676, 519, 2530, 540, 2686, 3961, 543, 540, 14227, 6988, 267, 519, 31774, 540, 2229, 267, 543, 519, 4473, 540, 5208, 269, 25792, 3123, 540, 513, 6848, 12900, 1331, 2067, 31685, 267, 2112, 267, 11641, 559, 775, 267, 26380, 267, 2551, 7771, 267, 543, 2527, 9194, 269, 589, 25540, 2486, 949, 556, 3200, 547, 513, 811, 18642, 1533, 267, 581, 12842, 883, 513, 6793, 2486, 267, 610, 4625, 14897, 563, 309, 7398, 1302, 782, 12977, 723, 11124, 971, 513, 12556, 267, 7488, 540, 741, 2450, 610, 6988, 267, 855, 930, 540, 873, 2663, 2847, 1882, 543, 9927, 267, 971, 607, 3624, 267, 3127, 267, 543, 5527, 269, 1717, 267, 1866, 2760, 16626, 267, 971, 607, 519, 5375, 543, 8109, 4936, 5927, 2231, 267, 519, 2904, 534, 10340, 267, 543, 519, 14914, 6816, 10340, 269, 5081, 13926, 12900, 568, 3622, 2656, 855, 10355, 23589, 269, 1717, 267, 930, 2665, 4125, 711, 513, 12900, 855, 1152, 513, 16795, 535, 8172, 2476, 267, 971, 607, 519, 3703, 7276, 2094, 476, 4489, 279, 563, 514, 968, 306, 1539, 13926, 12900, 6100, 9504, 269, 8525, 729, 2063, 12995, 593, 476, 1839, 5412, 476, 1708, 272, 267, 693, 476, 866, 281, 876, 630, 7473, 290, 1040, 6423, 1934, 563, 288, 14351, 27048, 2861, 9111, 20576, 1572, 18496, 11686, 781, 7368, 6285, 593, 519, 14496, 540, 519, 476, 1708, 271, 9550, 2164, 513, 2048, 18856, 7432, 1448, 685, 602, 2048, 8974, 332, 1441, 4909, 3972, 538, 519, 21146, 1184, 20371, 763, 5729, 519, 2475, 31267, 454, 17686, 8985, 18001, 24522, 454, 3528, 667, 2466, 787, 2107, 21754, 593, 11833, 2107, 21754, 593, 5412, 476, 2641, 267, 476, 1708, 272, 693, 476, 5400, 281, 3374, 269, 6423, 1934, 563, 296, 723, 1044, 4974, 519, 8521, 5765, 12900, 540, 519, 7330, 585, 476, 1839, 1296, 543, 13629, 2835, 543, 4930, 593, 713, 1641, 585, 519, 2063, 476, 1428, 267, 609, 1434, 2164, 281, 595, 6717, 303, 476, 273, 269, 271, 568, 3384, 3833, 23182, 269, 634, 476, 1789, 4458, 1065, 4471, 557, 799, 519, 2475, 729, 11292, 7064, 547, 519, 12900, 540, 519, 28268, 814, 1631, 1163, 1600, 267, 1169, 4674, 693, 11440, 7269, 2094, 1287, 630, 17682, 12174, 6017, 267, 12925, 267, 16850, 267, 8644, 5984, 543, 519, 834, 24175, 8336, 12966, 257, 540, 8109, 2342, 264, 814, 1044, 513, 2698, 5821, 269, 11531, 513, 6450, 1941, 6576, 267, 20483, 676, 1454, 540, 519, 1964, 540, 20195, 14901, 267, 568, 1631, 7432, 519, 7515, 543, 19280, 519, 2475, 1472, 538, 9985, 3768, 328, 680, 11703, 2474, 269, 1656, 1631, 713, 281, 22526, 4826, 540, 17459, 5842, 17630, 5063, 7902, 593, 23711, 547, 2491, 602, 519, 2475, 568, 1631, 538, 513, 7997, 540, 1164, 1981, 585, 2797, 5208, 543, 3540, 2112, 563, 4517, 1018, 713, 1797, 568, 602, 519, 2475, 814, 6368, 6913, 11192, 7502, 8985, 16721, 1563, 1145, 269, 2913, 721, 1413, 883, 519, 3877, 540, 713, 563, 289, 16808, 4673, 814, 6594, 2797, 16132, 585, 476, 1789, 1296, 267, 1034, 5063, 607, 851, 540, 513, 31835, 4305, 3196, 630, 6518, 814, 11292, 1200, 1569, 547, 14449, 971, 607, 519, 968, 21691, 640, 892, 10471, 267, 799, 519, 1964, 540, 721, 1152, 3006, 1205, 547, 5873, 827, 1040, 4173, 813, 26150, 568, 711, 1759, 593, 930, 12705, 2065, 2631, 540, 3662, 14326, 855, 593, 1808, 14573, 15568, 676, 7311, 873, 547, 20833, 18633, 2477, 1472, 519, 1158 ]

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

[ 7125, 585, 1022, 824, 1826, 540, 968, 29323, 566, 892, 540, 519, 1079, 2238, 269, 5822, 267, 519, 8360, 968, 335, 32123, 21520, 22993, 538, 1981, 4879, 892, 630, 6518, 616, 1767, 547, 581, 1114, 538, 2186, 689, 1346, 3238, 538, 1981, 2359, 264, 2798, 547, 835, 540, 519, 1034, 1271, 4030, 540, 519, 12233, 269, 769, 1880, 267, 519, 12233, 6444, 602, 3592, 1100, 1981, 4879, 666, 581, 6192, 8259, 3621, 1344, 630, 11907, 543, 1702, 264, 568, 29979, 609, 10054, 602, 723, 711, 1044, 13006, 538, 6935, 547, 519, 1880, 1981, 4879, 693, 1688, 267, 4352, 789, 723, 4440, 1044, 6462, 676, 8101, 2963, 454, 8016, 305, 585, 2985, 476, 3953, 454, 16631, 543, 5463, 2888, 281, 5917, 3496, 11485, 10495, 610, 3069, 585, 519, 2489, 2013, 269, 277, 634, 1579, 11732, 1806, 540, 971, 10054, 1644, 547, 4220, 15054, 676, 3114, 17219, 6161, 519, 3337, 540, 9570, 268, 24978, 14258, 538, 519, 3148, 540, 1360, 1970, 13066, 543, 519, 10083, 547, 3425, 540, 1585, 17219, 6114, 4767, 538, 1164, 1673, 846, 3662, 6901, 282, 10054, 3823, 891, 543, 1082, 824, 3344, 540, 519, 1239, 1031, 585, 1981, 4879, 616, 2556, 547, 1683, 1981, 9946, 3730, 1981, 1915, 3074, 1759, 593, 5812, 4485, 269, 634, 4414, 3883, 12233, 6444, 602, 585, 513, 2016, 25107, 5057, 540, 1022, 540, 519, 3268, 540, 513, 1981, 4879, 585, 799, 606, 13429, 568, 2556, 267, 1896, 23963, 26363, 10054, 1522, 581, 2139, 269, 634, 12233, 1031, 519, 8360, 968, 8882, 2397, 3681, 892, 547, 4766, 519, 5044, 540, 7399, 269, 1677, 3142, 1931, 543, 11007, 547, 1981, 10526, 5342, 676, 519, 5313, 2229, 543, 547, 7413, 2013, 8386, 30924, 6354, 2827, 540, 1981, 12431, 20156, 4093, 267, 519, 12233, 5227, 519, 1646, 540, 1808, 968, 8882, 2397, 4808, 31865, 891, 941, 547, 2270, 968, 534, 8763, 3948, 540, 513, 24441, 3903, 1851, 4244, 23221, 3681, 892, 630, 301, 13612, 476, 2735, 274, 267, 533, 269, 476, 275, 264, 630, 5408, 13340, 476, 273, 268, 272, 1040, 4935, 267, 8041, 1058, 1491, 3268, 547, 4766, 267, 538, 8763, 4808, 267, 519, 2930, 4485, 1031, 547, 2932, 1981, 10526, 267, 543, 891, 4808, 1058, 1331, 20487, 540, 519, 10054, 630, 10175, 267, 538, 930, 2665, 267, 3631, 264, 602, 1131, 581, 9846, 1031, 547, 2721, 31921, 538, 782, 519, 25107, 3334, 540, 519, 1981, 12431, 20156, 1184, 1141, 789, 616, 2877, 269, 5606, 2397, 3681, 723, 2097, 547, 581, 1572, 9949, 3681, 267, 543, 519, 31921, 5697, 585, 1981, 10526, 723, 2097, 547, 581, 1572, 9949, 338, 269, 634, 1646, 543, 5812, 946, 540, 2930, 4808, 585, 1981, 4879, 267, 609, 519, 20487, 540, 782, 519, 2556, 9949, 338, 267, 941, 2938, 676, 519, 4414, 3883, 12233, 607, 2556, 547, 2057, 519, 12250, 9668, 540, 3621, 4879, 689, 3609, 1646, 543, 6388, 1247, 10893, 20025, 543, 3006, 15865, 3609, 7506, 593, 519, 1981, 12431, 20156, 1184, 269, 1306, 7074, 2663, 538, 713, 3184, 267, 930, 13915, 540, 519, 4414, 3883, 723, 6659, 519, 6161, 602, 519, 12233, 779, 862, 754, 762, 4674, 547, 2057, 968, 514, 14363, 7506, 892, 666, 11593, 581, 3144, 547, 1611, 968, 7224, 3310, 892, 689, 1981, 9946, 543, 824, 8639, 269, 2290, 3606, 4183, 540, 519, 4414, 3883, 779, 7840, 12217, 593, 519, 1699, 12233, 779, 4305, 269, 4935, 267, 607, 851, 540, 519, 3948, 540, 24805, 566, 476, 277, 267, 799, 4145, 519, 7355, 585, 3730, 1981, 12431, 20156, 4808, 267, 666, 581, 1336, 519, 1739, 630, 301, 13612, 476, 2735, 274, 267, 533, 269, 476, 13679, 2567, 21253, 2225, 634, 12233, 17611, 11817, 8465, 4808, 269, 15519, 573, 4808, 267, 799, 11863, 1100, 8390, 267, 1522, 840, 2850, 519, 7156, 540, 4143, 3621, 1344, 15116, 547, 513, 1880, 3114, 543, 3976, 3196, 2708, 832, 547, 946, 23221, 3681, 602, 616, 711, 3617, 538, 513, 2016, 2013, 269, 4746, 267, 14461, 4808, 1522, 23626, 519, 4797, 946, 540, 2035, 602, 1831, 28572, 609, 1007, 3621, 7835, 269, 14066, 12415, 540, 519, 3621, 2146, 1131, 17216, 1843, 547, 971, 4808, 607, 22424, 26702, 609, 519, 946, 540, 519, 1655, 3621, 10385, 585, 3609, 3664, 269, 21253, 2225, 666, 581, 5189, 676, 519, 25465, 540, 9949, 3681, 269, 634, 2708, 528, 1131, 581, 25009, 547, 946, 513, 11280, 630, 29239, 264, 4781, 8259, 1808, 3621, 2963, 6700, 6382, 269, 634, 4808, 1131, 3976, 11863, 17756, 547, 519, 2489, 2013, 267, 607, 1279, 607, 1142, 9868, 1223, 581, 20582, 23963, 269, 6270, 1175, 5874, 1131, 581, 12649, 676, 519, 1414, 268, 476, 277, 3143, 3621, 1702, 568, 1510, 10462, 267, 855, 621, 568, 3622, 1641, 547, 12170, 19027, 282, 950, 519, 12170, 2963, 568, 11215, 543, 1100, 14669, 2963, 666, 581, 1336, 267, 12319, 568, 1767, 547, 723, 1044, 3964, 267, 693, 2547, 17895, 8271, 269, 634, 10054, 2877, 547, 2347, 1981, 10526, 616, 3622, 1134, 6462, 585, 519, 4143, 1305, 540, 2250, 10526, 282, 2705, 267, 538, 1022, 1808, 2013, 621, 786, 1419, 581, 2352, 267, 952, 711, 7543, 267, 547, 13182, 10686, 1227, 602, 513, 2016, 13429, 849, 6585, 585, 519, 6219, 693, 3390, 563, 8016, 305, 585, 2985, 476, 3451, 454, 16631, 543, 5463, 2888, 281, 5917, 3496, 11485, 10495, 21398, 311, 476, 273, 268, 272, 10837, 4204, 320, 11485, 5025, 1087, 20156, 13832, 476, 2735, 277, 13832, 585, 595, 32555, 4094, 11485, 10495, 630, 292, 5183, 476, 2735, 277, 320, 264, 13832, 585, 2657, 10495, 540, 12246, 1051, 25833, 24768, 1218, 630, 7906, 12658, 269, 3204, 269, 476, 22430, 2764, 3738, 13832, 585, 23688, 10402, 30008, 11485, 10495, 630, 292, 5183, 476, 2735, 277, 321, 264, 13832, 585, 6480, 26305, 1401, 1842, 999, 630, 7906, 12658, 269, 3204, 269, 476, 22430, 5655, 3738, 13832, 585, 2657, 10495, 540, 11906, 631, 4869, 999, 630, 292, 5183, 476, 2735, 277, 322, 264, 476, 1960, 272, 25833, 24768, 640, 11485, 10495, 630, 516, 14876, 543, 8242, 264, 630, 292, 5183, 476, 1960, 272, 264, 476, 1960, 273, 13832, 585, 22452, 10495, 630, 292, 5183, 476, 1960, 273, 320, 264, 476, 1960, 277, 13832, 585, 3115, 8793, 24768, 640, 11485, 10495, 630, 292, 5183, 476, 1960, 277, 320, 264, 476, 1960, 279, 13832, 585, 26954, 11485, 10495, 630, 292, 5183, 476, 1960, 279, 320, 264, 13832, 585, 11671, 1729, 13877, 640, 11485, 10495, 630, 292, 5183, 476, 1960, 279, 321, 264, 476, 1220, 271, 4675, 11915, 30334, 585, 2657, 11485, 10495, 540, 11906, 631, 4869, 999, 630, 292, 5183, 476, 1220, 271, 320, 264, 476, 1220, 276, 13832, 585, 595, 32555, 4094, 11485, 10495, 543, 26929, 531, 30334, 585, 30487, 12246, 1061, 2225, 689, 7216, 21509, 22452, 547, 595, 32555, 11077, 630, 292, 5183, 476, 1220, 276, 320, 14720, 264, 1452, 4808, 267, 799, 616, 5812, 609, 4414, 3883, 7840, 630, 301, 13612, 476, 2735, 274, 267, 533, 269, 476, 278, 1070, 968, 560, 4450, 519, 7664, 540, 3621, 543, 2930, 1344, 4143, 547, 519, 4879, 892, 543, 968, 5417, 816, 782, 2609, 540, 1981, 4879, 267, 855, 1450, 8112, 547, 2015, 2189, 3621, 2963, 538, 1880, 8320, 1848, 3962, 23988, 568, 513, 3818, 20204, 1788, 2919, 676, 1617, 1470, 742, 823, 6887, 7768, 540, 3744, 538, 16501, 20682, 267, 7740, 267, 1982, 13646, 267, 543, 6237, 13646, 269, 30633, 4808, 616, 9263, 24595, 538, 1930, 1857, 11401, 543, 3370, 585, 6085, 538, 519, 8549, 19193, 269, 769, 2489, 267, 1142, 23988, 5205, 519, 476, 2735, 274, 4414, 3883, 17565, 267, 3246, 5583, 593, 519, 946, 543, 7664, 540, 1344, 538, 1142, 2361, 540, 2079, 267, 1519, 519, 1909, 540, 9949, 338, 543, 10054, 543, 4485, 547, 24604, 543, 1981, 18572, 269, 2368, 4808, 616, 10483, 676, 24045, 5359, 593, 2027, 3584, 267, 585, 1383, 267, 968, 10112, 31757, 12246, 1061, 2225, 689, 7216, 3734, 22452, 547, 595, 32555, 11077, 892, 630, 292, 5183, 476, 1220, 276, 321, 264, 543, 968, 10817, 4575, 14362, 585, 22757, 30408, 5811, 892, 630, 292, 5183, 476, 1960, 278, 320, 1040, 513, 292, 5183, 779, 23988, 5399, 2882, 1082, 824, 5583, 6054, 543, 4507, 267, 1519, 1346, 1808, 547, 1367, 3292, 630, 5408, 267, 585, 1383, 267, 23959, 595, 268, 272, 543, 667, 268, 272, 543, 8100, 1040, 1303, 881, 2689, 8440, 543, 676, 519, 1857, 896, 5773, 4330, 1657, 269, 13832, 1223, 7443, 2406, 5031, 5396, 18460, 5266, 4028, 3621, 1646, 630, 1721, 1383, 267, 519, 946, 540, 10894, 1239, 585, 954, 14588, 2886, 16198, 264, 543, 1022, 824, 3334, 538, 799, 17756, 547, 1880, 9949, 3681, 941, 2693, 547, 8451, 269, 1358, 1058, 849, 3801, 547, 1459, 7355, 585, 10442, 2436, 606, 9868, 568, 20582, 269, 1306, 786, 581, 10423, 2429, 713, 1867, 267, 621, 814, 9863, 2352, 547, 3035, 3621, 13618, 593, 21520, 3823, 519, 6631, 2329, 540, 3621, 2963, 547, 17854, 267, 538, 1808, 2665, 267, 8977, 999, 689, 835, 610, 811, 9949, 338, 269, 2290, 540, 519, 6859, 540, 519, 1459, 12233, 779, 960, 1522, 581, 2938, 607, 8159, 2436, 476, 1839, 1296, 540, 3621, 1382, 543, 540, 14046, 3206, 827, 519, 2932, 540, 1981, 10526, 2488, 1007, 4030, 883, 2436, 972, 1522, 581, 1732, 2081, 540, 16042, 519, 24604, 602, 2285, 4473, 547, 519, 991, 585, 9949, 338, 563, 8016, 305, 585, 2985, 476, 4097, 454, 16631, 543, 5463, 2888, 281, 5917, 3496, 11485, 10495, 13536, 2817, 3194, 7027, 5525, 715, 13612, 630, 1960, 274, 320, 264, 23647, 519, 5610, 540, 8733, 1981, 4879, 883, 519, 476, 2735, 274, 4414, 3883, 5943, 269, 634, 5943, 585, 1981, 4879, 543, 922, 2185, 9912, 25107, 1184, 941, 7550, 543, 15469, 538, 519, 2817, 3194, 7027, 779, 3163, 543, 7225, 8540, 538, 11485, 10495, 630, 301, 13612, 476, 1960, 275, 264, 543, 4197, 11485, 281, 769, 14127, 5463, 2888, 538, 513, 14891, 5980, 630, 301, 13612, 476, 1960, 277, 1040, 11569, 267, 519, 5943, 814, 1044, 4922, 7550, 538, 824, 4274, 2090, 540, 1981, 4879, 630, 5408, 623, 6717, 305, 2752, 300, 476, 1960, 278, 543, 8100, 11855, 972, 514, 264, 543, 814, 1044, 7550, 3544, 519, 2136, 2276, 630, 514, 519, 3864, 5742, 543, 519, 2622, 2657, 9257, 264, 630, 5408, 7612, 476, 273, 268, 273, 1040, 5047, 267, 607, 9431, 543, 1857, 268, 8234, 5238, 723, 1185, 547, 3142, 513, 3152, 4110, 540, 3621, 2079, 543, 11007, 547, 1072, 6937, 15054, 676, 15451, 13596, 630, 303, 1046, 514, 476, 1220, 278, 1070, 7050, 8770, 703, 1389, 630, 296, 6865, 476, 1960, 278, 267, 476, 1960, 279, 267, 476, 1220, 274, 282, 14959, 476, 1220, 277, 1070, 543, 824, 2825, 21500, 267, 789, 723, 1336, 519, 4414, 3883, 5943, 1312, 23963, 3617, 543, 3730, 269, 2290, 3606, 6249, 3823, 519, 1981, 12431, 20156, 1184, 568, 2016, 1390, 3007, 676, 519, 2817, 3194, 7027, 538, 4197, 11485, 630, 301, 13612, 476, 1960, 277, 267, 533, 269, 476, 277, 2567, 634, 25107, 1673, 601, 9200, 894, 1184, 3056, 547, 513, 1981, 18572, 1058, 1331, 2038, 543, 8763, 3007, 547, 1966, 19862, 282, 6041, 540, 519, 8552, 540, 5461, 543, 16658, 13543, 476, 273, 268, 273, 634, 2622, 2657, 9257, 779, 5943, 585, 7471, 1072, 543, 3235, 11043, 1981, 4879, 269, 10691, 292, 281, 22955, 476, 273, 268, 272, 543, 476, 273, 268, 273, 1397, 1114, 14906, 1431, 543, 9687, 900, 874, 1162, 607, 547, 519, 2596, 2609, 540, 519, 4414, 3883, 17565, 269, 11905, 281, 590, 17458, 1696, 620, 269, 476, 1220, 272, 563, 8016, 305, 585, 2985, 476, 3374, 454, 16631, 543, 5463, 2888, 281, 5917, 3496, 11485, 10495, 4299, 6105, 693, 713, 2038, 3942, 568, 16122, 269, 634, 25107, 1673, 601, 9200, 894, 1184, 1058, 581, 8994, 543, 25276, 269, 5811, 543, 18064, 3130, 616, 14911, 543, 1590, 581, 7471, 2429, 519, 1184, 3056, 547, 1981, 18572, 281, 18064, 3130, 14604, 2079, 267, 2079, 28279, 18064, 3130, 267, 543, 519, 1184, 2640, 689, 5955, 1063, 519, 1079, 269, 2334, 16252, 2488, 8356, 766, 547, 519, 4414, 3883, 779, 1289, 585, 968, 29323, 566, 892, 540, 4879, 543, 2359, 547, 7520, 519, 18678, 3804, 540, 1981, 4879, 281, 547, 1683, 519, 3621, 4493, 585, 1857, 268, 8234, 543, 9431, 3664, 269, 1306, 1279, 607, 968, 534, 4519, 543, 18064, 3130, 892, 1281, 711, 4125, 3646, 676, 1981, 9946, 547, 3337, 1981, 12431, 20156, 4093, 547, 6474, 741, 3609, 7375, 267, 855, 2864, 3322, 3646, 547, 2327, 602, 10526, 630, 3369, 7241, 741, 4093, 264, 786, 581, 7850, 585, 3375, 6194 ]

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

[ 14960, 540, 3486, 5026, 2359, 267, 596, 1223, 5732, 1265, 3054, 2324, 609, 9164, 689, 2066, 519, 8608, 256, 5994, 4543, 10891, 513, 13558, 29658, 538, 8478, 267, 610, 23712, 609, 5545, 8387, 547, 11282, 17825, 585, 606, 14232, 2261, 25070, 269, 1215, 3579, 1131, 602, 581, 31841, 8170, 1576, 267, 1100, 835, 3587, 513, 1390, 6205, 16074, 269, 898, 3340, 11428, 267, 2182, 960, 267, 543, 6024, 1565, 269, 1809, 952, 596, 2811, 13730, 827, 5026, 543, 11235, 547, 1118, 513, 3017, 538, 713, 3078, 2361, 267, 1287, 13197, 513, 2619, 538, 7328, 5718, 1522, 1175, 581, 3501, 585, 596, 269, 5808, 6487, 1765, 821, 1554, 267, 596, 1223, 581, 519, 11121, 4137, 13057, 1866, 4724, 1967, 1312, 593, 543, 1055, 519, 4730, 2361, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 28494, 1636, 15557, 630, 22913, 540, 3163, 994, 763, 9457, 540, 3163, 538, 22505, 15557, 568, 513, 476, 4375, 29931, 9016, 1982, 602, 22316, 519, 2875, 585, 513, 4876, 538, 519, 7328, 2872, 910, 2436, 621, 779, 2324, 1369, 606, 3872, 9872, 267, 3318, 7328, 2319, 267, 6725, 267, 10618, 267, 1875, 17416, 3906, 267, 3906, 602, 2709, 7328, 9716, 543, 8516, 2533, 267, 2749, 543, 1533, 18883, 13623, 543, 1256, 3486, 7158, 269, 3776, 1982, 786, 1683, 519, 2069, 602, 22316, 596, 585, 513, 4876, 538, 5026, 5718, 563, 1607, 1982, 568, 1759, 593, 519, 3661, 602, 1565, 5012, 547, 1689, 267, 543, 2043, 267, 609, 519, 2702, 547, 1451, 543, 11457, 11179, 267, 786, 581, 3811, 607, 3401, 610, 9946, 538, 519, 6422, 1604, 540, 519, 7328, 2872, 269, 769, 1840, 547, 519, 1445, 1353, 540, 7328, 5718, 267, 519, 6437, 786, 1683, 1053, 609, 606, 538, 3829, 1413, 693, 519, 3309, 543, 9750, 2259, 540, 7328, 5718, 1983, 538, 606, 3486, 2796, 563, 763, 1982, 540, 1353, 9607, 519, 917, 1194, 326, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 2951, 1837, 3184, 782, 827, 19482, 543, 22742, 538, 519, 29268, 781, 3084, 11614, 256, 1411, 1522, 1589, 540, 3695, 2470, 607, 1945, 602, 1152, 4523, 538, 30152, 4025, 899, 10239, 610, 31140, 267, 855, 972, 616, 930, 6909, 2067, 16782, 1318, 1934, 538, 519, 1434, 2025, 29268, 269, 1924, 3640, 707, 11435, 267, 30824, 909, 1346, 25192, 267, 543, 1205, 4712, 547, 3605, 519, 5898, 540, 3013, 781, 2295, 1633, 2439, 5575, 1055, 267, 1577, 781, 2911, 827, 1018, 2306, 519, 29268, 865, 2027, 269, 901, 3148, 568, 2407, 540, 3309, 8916, 267, 1519, 7733, 267, 9299, 597, 625, 267, 8933, 267, 543, 1256, 5070, 546, 17480, 256, 3962, 3084, 6288, 20502, 891, 2189, 2934, 998, 18198, 18162, 543, 13122, 2572, 1141, 3885, 543, 2828, 666, 1921, 609, 2470, 780, 3086, 4952, 2469, 593, 513, 30382, 543, 4947, 2066, 513, 1216, 6420, 31314, 1369, 513, 18932, 4104, 610, 31986, 7320, 971, 607, 13650, 267, 536, 2581, 267, 610, 1256, 24052, 32608, 269, 1452, 2833, 1831, 2009, 950, 649, 2263, 938, 3084, 11614, 269, 670, 10884, 2636, 721, 547, 3500, 1524, 543, 5963, 5660, 519, 1158, 1472, 721, 1107, 835, 1900, 693, 513, 942, 269, 9578, 267, 945, 9327, 1405, 1616, 547, 2909, 326, 547, 741, 15032, 827, 16246, 513, 26009, 1025, 4428, 610, 10188, 998, 513, 12357, 13946, 2496, 290, 2086, 532, 3217, 519, 7045, 547, 1776, 1377, 676, 3246, 513, 4960, 547, 6108, 2298, 942, 896, 519, 6801, 269, 2991, 4259, 909, 512, 757, 543, 2679, 513, 18241, 3786, 13933, 267, 2671, 2984, 267, 887, 770, 22153, 332, 718, 3298, 267, 543, 22401, 2390, 20035, 725, 7206, 519, 3781, 6607, 269, 898, 781, 606, 20605, 1259, 547, 1711, 9434, 8823, 1247, 1565, 3407, 6668, 1983, 780, 6524, 16144, 856, 593, 707, 7552, 267, 3314, 602, 7041, 568, 1883, 269, 2142, 2386, 547, 1382, 1142, 6288, 781, 3652, 267, 4808, 267, 543, 1022, 2556, 14998, 269, 13268, 1898, 3688, 899, 6899, 7802, 267, 19756, 10887, 267, 24429, 267, 17079, 10936, 267, 7899, 540, 1216, 267, 16152, 267, 543, 513, 4786, 610, 22315, 269, 1656, 1810, 1405, 7340, 513, 8254, 547, 7001, 1346, 5863, 8090, 2439, 7661, 267, 2141, 2259, 23680, 3143, 29895, 3741, 1282, 707, 3643, 269, 901, 1797, 18245, 2371, 267, 2831, 267, 543, 824, 8436, 282, 8741, 532, 540, 3653, 5265, 282, 543, 6028, 2067, 3615, 3768, 626, 32328, 269, 1635, 1739, 891, 2241, 3268, 267, 3025, 666, 2972, 519, 9059, 540, 938, 3084, 11614, 585, 5481, 547, 2097, 780, 3383, 267, 616, 596, 9599, 547, 5734, 519, 18162, 543, 1305, 909, 3786, 538, 519, 4190, 11068, 13523, 19069, 286, 2060, 6297, 4058, 543, 15131, 585, 3408, 267, 707, 1985, 1390, 1977, 7045, 19179, 1080, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 27324, 9612, 7490, 6445, 856, 713, 2361, 563, 268, 28509, 2659, 4427, 2675, 3628, 454, 268, 12315, 513, 717, 3424, 4427, 2675, 3628, 454, 268, 2549, 2224, 618, 20088, 454, 1692, 547, 4643, 519, 17828, 25676, 547, 17629, 2289, 3930, 21035, 454, 2080, 781, 3388, 596, 991, 547, 917, 827, 9683, 17629, 2289, 3930, 21035, 267, 689, 519, 1655, 26055, 543, 14060, 547, 12119, 2621, 543, 811, 563, 12441, 596, 917, 602, 538, 519, 2295, 540, 11968, 13353, 596, 666, 521, 760, 593, 19643, 2041, 518, 2073, 2097, 3068, 547, 3068, 609, 32049, 17878, 267, 543, 723, 606, 12473, 3460, 609, 32620, 3687, 687, 286, 3143, 9117, 1995, 2838, 563, 26536, 531, 2289, 3930, 21035, 568, 513, 6249, 6288, 899, 1100, 824, 267, 4448, 547, 513, 2324, 7260, 543, 8613, 2504, 2603, 602, 781, 1044, 1472, 2094, 519, 2038, 476, 736, 555, 2540, 269, 634, 4670, 18638, 1101, 3893, 883, 18845, 609, 513, 911, 332, 4663, 538, 476, 3422, 275, 855, 814, 2094, 7960, 543, 6738, 883, 513, 13755, 2378, 728, 6249, 6288, 609, 13858, 26055, 267, 2661, 9913, 267, 15138, 3338, 267, 543, 873, 5597, 24886, 630, 663, 8949, 264, 3536, 563, 763, 6249, 6288, 949, 581, 11741, 3379, 547, 922, 5101, 11076, 24107, 267, 855, 621, 2306, 909, 585, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 295, 10884, 543, 8805, 532, 538, 519, 29268, 781, 2817, 20088, 257, 607, 851, 540, 834, 307, 30728, 1315, 2136, 2276, 1315, 29268, 1315, 4937, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6637, 476, 272, 281, 4197, 17086, 543, 853, 1738, 4982, 10329, 692, 8702, 547, 938, 3408, 540, 519, 1158, 540, 11707, 256, 1284, 3513, 1376, 609, 930, 2596, 2035, 602, 786, 948, 721, 1174, 875, 3615, 1847, 543, 2611, 1869, 269, 5994, 3843, 547, 3666, 513, 6529, 593, 707, 9416, 269, 1548, 8952, 621, 689, 9991, 286, 634, 2626, 6013, 538, 519, 4229, 9117, 2390, 621, 267, 799, 3142, 721, 547, 938, 1101, 1883, 2856, 281, 3196, 269, 589, 3196, 568, 513, 7903, 610, 7485, 25116, 593, 606, 1843, 602, 666, 1689, 922, 3432, 267, 4287, 267, 3337, 267, 610, 2990, 269, 2913, 781, 1451, 811, 998, 1187, 1806, 2439, 7078, 476, 272, 281, 7591, 3033, 12034, 1177, 454, 288, 19209, 12034, 1177, 5161, 540, 513, 1279, 4604, 7059, 538, 519, 4099, 267, 3850, 1453, 547, 1491, 7140, 2469, 909, 543, 1524, 593, 2901, 1439, 269, 1280, 519, 12034, 1177, 547, 3251, 1377, 267, 519, 12035, 630, 332, 13293, 264, 540, 519, 3214, 991, 547, 581, 3160, 593, 1312, 5011, 269, 1403, 835, 1126, 568, 18219, 982, 519, 824, 267, 789, 666, 3035, 11466, 676, 3001, 6251, 610, 20991, 2476, 689, 519, 3505, 322, 5300, 630, 1492, 4099, 1448, 1040, 901, 16369, 2242, 519, 3845, 1063, 519, 22141, 1448, 543, 519, 4294, 3196, 1107, 849, 1634, 607, 15407, 269, 2052, 596, 1589, 540, 2081, 547, 3666, 519, 12034, 1177, 952, 972, 729, 513, 1713, 2597, 3017, 2496, 3086, 1577, 781, 4685, 883, 519, 1523, 540, 11979, 11466, 267, 1141, 606, 1843, 3788, 19335, 1813, 547, 13326, 4229, 269, 16514, 513, 9395, 549, 701, 3802, 518, 282, 1018, 6087, 873, 547, 1796, 20005, 1247, 21986, 532, 513, 18052, 1510, 9991, 286, 4256, 1967, 12346, 593, 13215, 741, 4099, 540, 8904, 543, 4509, 3666, 1210, 25559, 532, 4229, 780, 7078, 476, 273, 281, 570, 697, 549, 701, 6972, 454, 307, 697, 549, 701, 3802, 619, 946, 513, 1279, 15393, 547, 2333, 6617, 543, 2226, 3666, 269, 1635, 14178, 519, 15393, 23276, 267, 789, 1711, 3606, 4229, 10296, 18746, 593, 1142, 2427, 269, 1452, 15852, 4229, 22599, 856, 1022, 14694, 630, 2515, 1811, 264, 3350, 3361, 676, 5007, 2188, 899, 2842, 31830, 338, 269, 1306, 513, 1267, 267, 519, 9395, 549, 701, 3802, 518, 13978, 10704, 936, 519, 18052, 780, 1103, 5758, 267, 1620, 4229, 543, 11979, 11466, 5036, 519, 5748, 585, 3695, 2417, 3584, 538, 6323, 543, 4702, 269, 29923, 891, 4909, 3741, 2636, 721, 547, 5659, 1950, 1949, 5473, 14604, 267, 959, 1380, 525, 267, 543, 6191, 269, 1924, 10544, 707, 3206, 11503, 543, 1205, 4712, 585, 606, 3078, 3460, 2407, 540, 6602, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 1805, 18267, 543, 11707, 540, 2326, 476, 276, 628, 7160, 10519, 269, 2353, 2835, 616, 538, 2312, 5299, 1934, 267, 543, 782, 6119, 616, 5150, 865, 21645, 5855, 827, 621, 269, 898, 568, 6322, 5097, 693, 1647, 24038, 4702, 1053, 269, 1879, 519, 5163, 568, 711, 31587, 267, 535, 31587, 5163, 621, 568, 519, 4090, 950, 519, 1560, 568, 593, 519, 2357, 613, 540, 1793, 6235, 269, 769, 713, 2376, 649, 1683, 513, 3376, 7291, 540, 3872, 1382, 593, 2875, 2093, 827, 4229, 543, 5163, 269, 8281, 2493, 923, 543, 11707, 540, 2326, 476, 276, 628, 7160, 7824, 1433, 7824, 1863, 4647, 3095, 610, 1224, 2228, 1934, 538, 7824, 269, 9182, 267, 538, 713, 1433, 649, 4927, 1118, 513, 1880, 4674, 547, 4766, 875, 1007, 2023, 1014, 6384, 666, 6707, 2272, 585, 513, 2647, 3099, 540, 1114, 3859, 1062, 9259, 269, 4985, 547, 2493, 923, 543, 6384, 552, 9248, 15682, 269, 6465, 923, 543, 11707, 540, 2326, 476, 276, 628, 7160, 676, 24950, 10964, 518, 7824, 4564, 513, 5916, 705, 27554, 4528, 540, 1079, 540, 519, 4589, 1655, 552, 9248, 267, 12077, 11707, 540, 2326, 476, 1015, 628, 7160, 543, 4702, 11707, 269, 1358, 4766, 519, 1894, 327, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 13316, 1315, 23317, 1315, 6465, 923, 1315, 13368, 525, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 281, 6355, 23113, 18169, 910, 29661, 1222, 630, 29557, 3427, 2020, 16215, 7170, 281, 11137, 540, 1924, 548, 1160, 3064, 564, 832, 4721, 692, 14945, 5331, 596, 4312, 1175, 2813, 1945, 5863, 256, 898, 1223, 581, 4376, 12544, 8949, 10217, 13863, 23739, 11600, 267, 29586, 25231, 7410, 602, 707, 2828, 2648, 267, 610, 1256, 4274, 5796, 593, 3381, 3756, 269, 4658, 1376, 6998, 1141, 789, 666, 1205, 811, 540, 1018, 596, 1500, 269, 1358, 2811 ]

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

[ 618, 543, 513, 25442, 2295, 269, 10271, 945, 4497, 538, 891, 2853, 798, 865, 609, 519, 1620, 602, 2696, 781, 786, 568, 14063, 267, 543, 3571, 1379, 568, 1031, 585, 3571, 5301, 269, 634, 1445, 568, 593, 26936, 609, 2696, 781, 1544, 2864, 982, 5275, 547, 13861, 610, 1852, 5289, 4229, 585, 2123, 2744, 563, 1103, 5758, 267, 11006, 1629, 976, 543, 3138, 3151, 519, 1379, 540, 2696, 616, 2853, 1369, 5289, 13137, 1141, 21071, 946, 11755, 543, 5289, 6392, 547, 6615, 519, 3310, 540, 9409, 4229, 543, 1045, 5803, 2696, 781, 10143, 6304, 543, 25736, 269, 1452, 2035, 616, 7184, 12082, 538, 519, 4168, 5132, 267, 10771, 519, 6392, 540, 21071, 998, 4906, 2441, 543, 519, 6284, 540, 2696, 781, 3970, 1652, 1379, 547, 3142, 827, 7004, 267, 7067, 267, 543, 11808, 563, 13750, 618, 540, 18321, 454, 2171, 3494, 519, 6426, 267, 519, 476, 5780, 28138, 2835, 267, 547, 581, 519, 6273, 543, 1152, 1102, 718, 1043, 6478, 540, 2696, 563, 2171, 3494, 602, 972, 568, 2290, 2696, 630, 12507, 6139, 1143, 1070, 552, 27238, 2291, 550, 538, 1614, 7606, 281, 2696, 519, 12429, 267, 2696, 519, 12312, 267, 2696, 519, 10513, 13336, 563, 2171, 3494, 2696, 2813, 14088, 630, 332, 1446, 264, 543, 18832, 630, 325, 24580, 264, 538, 1010, 1378, 3239, 269, 1635, 27136, 17171, 267, 789, 8593, 689, 741, 5609, 1652, 1533, 269, 901, 2887, 32168, 539, 8103, 883, 513, 1533, 540, 5609, 543, 2669, 267, 543, 713, 568, 4547, 2390, 782, 8103, 269, 3245, 713, 2783, 649, 666, 581, 10710, 1152, 676, 519, 11419, 540, 2696, 267, 998, 5132, 267, 593, 519, 4493, 540, 519, 960, 540, 2441, 267, 543, 676, 519, 8116, 540, 519, 10513, 13336, 563, 2171, 3494, 538, 519, 20424, 4332, 540, 4906, 269, 901, 2680, 5949, 835, 942, 543, 729, 513, 16750, 27803, 676, 799, 4906, 2968, 17145, 563, 2171, 3494, 4906, 267, 519, 2034, 1268, 547, 519, 27076, 267, 568, 2696, 945, 2968, 17145, 547, 2347, 519, 693, 11238, 960, 593, 519, 3444, 693, 2836, 341, 776, 563, 2171, 3494, 602, 1065, 550, 766, 540, 5609, 543, 5132, 538, 519, 693, 11238, 960, 540, 4906, 593, 519, 3444, 568, 519, 1152, 1259, 547, 20778, 269, 1703, 568, 1100, 824, 1259, 547, 581, 10710, 689, 5609, 543, 519, 15163, 540, 5609, 269, 901, 568, 20778, 676, 11419, 4805, 563, 2171, 3494, 538, 519, 2168, 1532, 617, 1176, 24446, 540, 4906, 267, 543, 1010, 2168, 2132, 585, 1010, 5939, 630, 763, 10610, 540, 2441, 994, 2171, 3494, 538, 29080, 676, 1216, 543, 519, 29080, 540, 519, 10513, 13336, 269, 634, 10513, 13336, 11226, 538, 519, 20344, 267, 18813, 2305, 267, 543, 1350, 528, 2305, 540, 519, 1825, 591, 563, 2171, 3494, 538, 513, 13140, 1141, 1346, 945, 723, 1044, 28099, 14855, 676, 4906, 786, 1491, 18163, 15335, 282, 11338, 267, 649, 3494, 538, 513, 22946, 1141, 1346, 945, 723, 15653, 4906, 786, 1491, 18163, 15335, 269, 0, 763, 10055, 540, 20520, 454, 272, 1103, 519, 4098, 2696, 2813, 519, 30723, 543, 519, 3618, 269, 258, 272, 281, 272, 2107, 769, 519, 4098, 950, 2696, 2813, 519, 30723, 543, 519, 3618, 267, 1547, 1547, 1547, 2107, 1879, 2696, 3459, 547, 1711, 519, 30723, 543, 519, 3618, 267, 1547, 1547, 1547, 476, 273, 763, 3618, 729, 1106, 1652, 543, 8900, 267, 543, 14334, 4988, 519, 2620, 7297, 269, 1656, 519, 13336, 540, 2696, 729, 29964, 532, 936, 519, 2627, 540, 519, 7297, 563, 274, 10190, 2696, 1767, 267, 968, 4131, 972, 581, 1769, 2223, 543, 972, 729, 1769, 269, 476, 275, 4517, 2696, 4718, 602, 519, 1769, 729, 1434, 269, 3973, 646, 9674, 519, 1769, 689, 519, 14334, 269, 476, 276, 18661, 1572, 519, 1769, 968, 1485, 892, 543, 519, 14334, 968, 9519, 3034, 4517, 10543, 5293, 543, 6640, 3357, 267, 16287, 519, 1101, 1554, 563, 277, 10190, 2696, 1767, 267, 968, 4131, 972, 581, 513, 2230, 1063, 519, 7297, 267, 547, 5094, 519, 7297, 540, 519, 30723, 689, 519, 7297, 540, 519, 3618, 1848, 476, 278, 4517, 602, 568, 1018, 5949, 269, 2696, 1500, 713, 2230, 547, 5094, 519, 7297, 540, 519, 3618, 689, 519, 7297, 540, 519, 30723, 269, 476, 279, 18661, 1572, 519, 2230, 968, 20391, 3034, 4517, 10543, 5293, 543, 6640, 3357, 267, 16287, 519, 2034, 1554, 563, 280, 10190, 2696, 1767, 267, 968, 4131, 519, 7297, 9944, 519, 6607, 2095, 1927, 883, 835, 1747, 267, 865, 3819, 2666, 949, 2408, 1848, 1656, 602, 568, 1018, 5949, 269, 476, 1015, 18661, 1572, 519, 3819, 2666, 968, 1633, 892, 543, 519, 7297, 968, 572, 553, 1848, 1656, 2696, 4718, 602, 621, 729, 1434, 269, 476, 1556, 10190, 2696, 1767, 267, 968, 4131, 519, 2244, 17708, 339, 609, 10664, 1765, 22336, 4990, 540, 6079, 24481, 2030, 267, 543, 4054, 602, 1332, 6079, 24481, 4829, 269, 1452, 5452, 786, 1287, 3132, 519, 5686, 540, 2371, 543, 4054, 689, 799, 789, 3357, 1848, 1656, 602, 568, 1018, 5949, 269, 476, 1321, 763, 2244, 3812, 10664, 1765, 718, 12204, 540, 6079, 24481, 2371, 267, 543, 4054, 609, 6079, 24481, 4829, 269, 4256, 5452, 3812, 2371, 543, 4054, 540, 519, 1482, 2186, 269, 1656, 2696, 4718, 602, 621, 729, 1434, 563, 1724, 4517, 10543, 5293, 543, 6640, 3357, 267, 16287, 519, 3791, 1554, 563, 1691, 10190, 2696, 1767, 267, 968, 4131, 8279, 2408, 538, 519, 6607, 547, 5094, 519, 1554, 689, 519, 3781, 269, 2913, 873, 581, 4191, 547, 1665, 519, 12405, 267, 2395, 267, 543, 1296, 269, 476, 1428, 4131, 891, 8279, 538, 519, 6607, 19542, 1524, 593, 519, 3618, 1848, 1656, 602, 568, 1018, 5949, 269, 476, 1626, 18661, 1500, 1079, 1390, 8279, 9789, 3677, 835, 547, 1827, 519, 1554, 267, 543, 519, 4130, 835, 547, 1827, 519, 3781, 269, 1261, 849, 1500, 519, 6801, 269, 476, 1704, 18661, 1305, 891, 8279, 538, 519, 6607, 547, 1769, 519, 3618, 267, 476, 1240, 1729, 1827, 519, 1554, 543, 3781, 267, 543, 547, 5094, 519, 1769, 689, 519, 14334, 269, 1656, 2696, 4718, 602, 621, 729, 1434, 563, 866, 4517, 10543, 5293, 543, 6640, 3357, 267, 16287, 519, 8772, 1554, 563, 736, 10190, 2696, 1767, 267, 968, 4131, 519, 7297, 2220, 1301, 609, 3165, 543, 824, 1272, 269, 2913, 519, 22839, 581, 4904, 609, 5017, 540, 1169, 2186, 1848, 476, 2641, 3383, 2696, 2813, 1390, 4262, 7068, 543, 1169, 2713, 3364, 602, 1085, 584, 1845, 543, 2220, 15767, 538, 519, 1216, 267, 543, 1169, 4990, 540, 6177, 1765, 26421, 6721, 15556, 540, 519, 1482, 2186, 269, 1656, 2696, 4718, 602, 621, 729, 1434, 269, 476, 2420, 10190, 2696, 25552, 873, 267, 6031, 267, 968, 6826, 4829, 995, 543, 9062, 269, 2913, 519, 3165, 6445, 519, 15798, 267, 543, 1577, 519, 5017, 9062, 593, 519, 3618, 3034, 2537, 4517, 10543, 5293, 543, 6640, 3357, 267, 16287, 519, 11359, 1554, 563, 2190, 10190, 2696, 1767, 267, 968, 4131, 519, 3618, 3132, 1169, 4990, 540, 3662, 267, 1142, 6721, 15556, 540, 519, 1482, 2186, 1765, 331, 12083, 267, 1507, 2831, 602, 1085, 25744, 2059, 519, 2666, 267, 543, 3552, 2831, 1848, 1656, 602, 568, 1018, 5949, 269, 476, 1839, 18661, 1500, 782, 12204, 540, 3552, 2831, 267, 13184, 267, 543, 1507, 2831, 267, 1142, 2111, 547, 3132, 15556, 540, 519, 1482, 2186, 269, 1656, 2696, 4718, 602, 621, 729, 1434, 563, 2918, 10190, 2696, 1767, 267, 968, 4131, 721, 1118, 1480, 7919, 258, 272, 281, 2918, 320, 2107, 812, 282, 12355, 14509, 740, 600, 269, 538, 938, 3239, 267, 547, 581, 899, 721, 269, 1358, 786, 12081, 936, 519, 3165, 538, 519, 4262, 267, 519, 5017, 538, 519, 6607, 267, 519, 13184, 267, 782, 519, 3552, 2831, 593, 519, 3618, 267, 258, 272, 281, 2918, 321, 1306, 538, 5204, 686, 659, 4528, 282, 12355, 14509, 782, 519, 3618, 269, 543, 519, 1507, 2831, 602, 1085, 25744, 2059, 519, 2666, 3034, 2767, 3383, 2696, 2813, 1480, 7919, 258, 272, 281, 2767, 2107, 519, 812, 282, 12355, 14509, 688, 14194, 600, 269, 538, 1010, 1378, 3239, 563, 1103, 519, 3239, 540, 2696, 646, 2813, 873, 3248, 332, 1446, 543, 4775, 646, 2813, 873, 563, 2764, 10190, 2696, 25552, 873, 543, 1767, 267, 968, 6826, 4829, 995, 543, 9062, 269, 19130, 519, 3618, 543, 1827, 621, 269, 1234, 793, 936, 519, 3165, 538, 519, 4262, 267, 519, 5017, 538, 519, 6607, 267, 543, 782, 519, 2831, 602, 1085, 25744, 2059, 519, 2666, 3034, 3066, 10190, 2696, 1767, 267, 968, 16100, 256, 594, 723, 2016, 596, 1169, 6079, 24481, 2030, 2429, 519, 3618, 543, 782, 519, 4829, 4054, 585, 707, 1426, 269, 476, 1789, 4517, 594, 723, 2016, 1169, 3039, 2030, 607, 1426, 585, 782, 519, 3552, 2831, 267, 519, 5017, 538, 519, 6607, 267, 543, 519, 1507, 2831, 602, 1085, 25744, 2059, 519, 2666, 1765, 22336, 2251, 602, 814, 1272, 1848, 1656, 602, 568, 1018, 5949, 563, 4029, 10190, 2696, 6743, 936, 782, 646, 1185, 1500, 267, 543, 646, 4718, 602, 621, 729, 1360, 1434, 2336, 4517, 10543, 5293, 543, 6640, 3357, 267, 16287, 519, 15795, 1554, 563, 9596, 2859, 6168, 1715, 12389, 22564, 454, 295, 8432, 6426, 267, 1715, 12389, 22564, 10677, 476, 1960, 277, 267, 476, 1220, 275, 267, 476, 1220, 278, 267, 476, 1001, 276, 676, 14977, 526, 1446, 5600, 7690, 563, 2690, 811, 1344, 827, 519, 715, 299, 307, 912, 339, 2317, 281, 853, 269, 4469, 822, 1014, 267, 476, 1911, 563, 272, 268, 1556, 2913, 3389, 685, 333, 8451, 267, 1577, 3618, 2408, 2676, 338, 4660, 519, 31471, 26663, 7083, 912, 763, 3389, 685, 333, 21256, 267, 519, 3618, 2408, 8910, 2676, 520, 1010, 2870, 2262, 563, 273, 774, 1157, 14334, 2156, 10757, 522, 685, 518, 519, 2620, 912, 18661, 1767, 267, 968, 4131, 972, 581, 1769, 281, 7536, 763, 1769, 695, 821, 8521, 609, 32127, 18422, 2676, 663, 14649, 8910, 3504, 3781, 563, 274, 1261, 536, 1228, 519, 12269, 10841, 754, 593, 1164, 3248, 1492, 12269, 10841, 754, 267, 543, 7703, 454, 288, 5349, 685, 787, 14951, 547, 519, 6607, 2676, 663, 10581, 2390, 519, 2011, 563, 275, 634, 5277, 3693, 2630, 454, 13195, 5531, 8910, 676, 1010, 1688, 3248, 763, 12902, 15798, 1927, 2095, 2676, 663, 4734, 519, 4396, 2244, 563, 276, 2060, 11922, 267, 543, 2371, 267, 543, 4829, 995, 4054, 2676, 1492, 1007, 13001, 845, 8910, 8608, 646, 13862, 8910, 2676, 292, 516, 972, 729, 4764, 547, 12196, 519, 3037, 2676, 528, 3141, 547, 3636, 519, 2666, 563, 277, 3973, 1164, 538, 3389, 685, 333, 779, 759, 680, 754, 550, 2895, 454, 515, 726, 659, 8910, 1079, 610, 2125, 540, 1769, 2676, 3891, 1305, 519, 3141, 547, 4341, 519, 1554, 2676, 1492, 7599, 547, 4341, 519, 3781, 563, 278, 8921, 267, 689, 519, 2620, 267, 555, 685, 31471, 26663, 3751, 454, 323, 573, 4105, 7919, 7406, 3248, 293, 578, 3149, 540, 519, 2011, 540, 859, 685, 787, 13617, 2676, 663, 3165, 540, 859, 685, 787, 2012, 563, 279, 1677, 782, 519, 1585, 22266, 11031, 454, 515, 5795, 741, 3304, 9317, 4332, 3248, 4263, 2899, 519, 17794, 543, 519, 21431, 454, 338, 1440, 2426, 689, 519, 31523, 3618, 563, 280, 3973, 267, 8783, 522, 685, 518, 782, 1010, 1568, 2630, 2676, 520, 2063, 729, 14088, 1500, 3248, 14367, 631, 6033, 779, 3239, 12196, 8910, 1010, 9997, 2676, 663, 18710, 13862, 8910, 1010, 2212, 563, 1015, 12876, 538, 555, 685, 31471, 26663, 631, 6033, 779, 3750, 454, 1492, 2898, 5137, 11542, 563, 3891, 2070, 8910, 519, 5958, 646, 1185, 986, 529, 8910, 3248, 20130, 2262, 15749, 322, 8910, 621, 1434, 563, 9596, 2859, 6168, 13677, 5450, 3740, 3474, 7469, 29320, 476, 9965, 272, 454, 5575, 3370, 676, 519, 5783, 540, 10430, 538, 476, 9965, 272, 269, 0, 27269, 267, 7218, 786, 1376, 547, 6336, 8404, 952, 789, 616, 3257, 519, 1482, 23736, 1169, 942, 269, 589, 2123, 26519, 666, 948, 873, 4129, 1518, 741, 23736, 267, 865, 602, 789, 3251, 7722, 543, 3136, 547, 960, 4724, 741, 3853, 563, 23114, 30157, 917, 513, 2603, 827, 3635, 2257, 267, 2623, 1689, 543, 6484, 269, 1358, 666, 849, 4001, 741, 7218, 875, 547, 946, 3937, 543, 875, 547, 1685, 5751, 7157, 563, 6624, 1004, 1589, 602, 4222, 2866, 568, 1945, 596, 798, 1152, 950, 1762, 610, 547, 13557, 909, 267, 855, 621, 779, 1271, 585, 782, 2085, 2516, 543, 8516, 2157, 269, 8617, 4222, 610, 4187, 3635, 2337, 2061, 519, 2067, 2530, 540, 10709, 4887, 2527, 602, 4386, 609, 10172, 630, 4385, 607, 26878 ]

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

[ 825, 1990, 272, 815, 7470, 6745, 337, 21725, 18692, 1038, 10070, 20166, 6113, 1229, 291, 1112, 10857, 784, 3363, 24210, 269, 30584, 263, 13211, 4449, 3546, 20173, 284, 344, 269, 30584, 263, 13211, 4449, 3546, 942, 284, 339, 269, 30584, 3890, 4917, 825, 7682, 5286, 269, 718, 29148, 18750, 271, 267, 1990, 272, 994, 8199, 2237, 606, 3573, 543, 2143, 1837, 1770, 609, 19900, 1257, 543, 3009, 12612, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 3550, 519, 3137, 616, 3015, 543, 2653, 547, 1174, 676, 1053, 609, 1100, 1991, 1702, 540, 519, 1641, 269, 634, 1837, 1058, 3895, 7744, 543, 20201, 1983, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 912, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 2422, 19000, 10035, 3230, 585, 4834, 543, 18889, 585, 5124, 3009, 12612, 269, 3097, 268, 3550, 4570, 19673, 3977, 563, 268, 12305, 543, 1104, 1022, 2556, 8021, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 1684, 711, 2491, 2596, 9226, 2035, 899, 3252, 543, 4632, 269, 1684, 711, 946, 16814, 585, 11249, 269, 3503, 519, 1543, 2047, 269, 0, 6637, 476, 280, 281, 9861, 513, 3751, 1107, 634, 3203, 540, 681, 592, 11429, 543, 15557, 692, 5331, 1373, 513, 4622, 256, 1411, 1131, 723, 519, 5539, 540, 3056, 707, 10806, 2509, 13884, 1247, 4180, 602, 707, 1004, 616, 2922, 267, 6126, 267, 543, 1134, 3144, 1416, 540, 269, 1809, 1018, 1281, 621, 5963, 1491, 547, 1831, 513, 1434, 4622, 286, 1215, 666, 835, 6330, 519, 1950, 1158, 540, 23372, 267, 3375, 1818, 267, 543, 4509, 2178, 3347, 609, 824, 6082, 286, 2913, 781, 4685, 883, 713, 4241, 1641, 1927, 2439, 20058, 267, 1577, 781, 1865, 519, 3661, 2497, 2390, 799, 15438, 1222, 26520, 269, 2311, 922, 4295, 267, 1373, 513, 3811, 4622, 12346, 8185, 593, 1614, 2609, 910, 7553, 267, 2601, 267, 543, 20932, 269, 589, 8797, 14610, 6487, 950, 547, 946, 1142, 16023, 20617, 269, 1280, 3236, 267, 2348, 6568, 630, 655, 10899, 1620, 264, 2636, 873, 547, 9305, 1732, 609, 741, 5396, 282, 7744, 6087, 5483, 3664, 267, 6466, 20932, 2337, 15378, 3871, 1141, 1239, 949, 581, 15877, 780, 288, 1713, 2460, 540, 15194, 3322, 11495, 513, 3666, 1063, 1379, 543, 27047, 842, 269, 2755, 1210, 3196, 1522, 3100, 2556, 693, 2053, 267, 3020, 4222, 6013, 538, 16706, 1582, 20820, 543, 11744, 21548, 269, 901, 2982, 15657, 543, 5036, 513, 2318, 1383, 585, 1346, 1472, 873, 269, 2991, 782, 267, 952, 513, 6205, 5526, 688, 7676, 1399, 610, 796, 1952, 25209, 762, 267, 875, 786, 789, 1174, 519, 2115, 543, 6499, 540, 741, 4961, 2496, 298, 902, 1590, 849, 4487, 10188, 1585, 2010, 540, 4205, 971, 607, 23372, 267, 8480, 267, 543, 1857, 6644, 269, 6056, 827, 17009, 1846, 2221, 945, 960, 24091, 547, 1628, 13123, 1063, 1114, 2477, 269, 6684, 267, 10120, 15438, 2877, 547, 6536, 2635, 1894, 609, 15231, 26441, 676, 27300, 13344, 267, 25786, 22888, 1369, 10424, 3885, 267, 610, 27410, 21308, 269, 5047, 267, 5275, 5796, 689, 11967, 14643, 832, 2488, 3309, 5380, 267, 7175, 811, 3102, 4507, 269, 1656, 6368, 267, 5329, 29601, 593, 1857, 18941, 5849, 3401, 3251, 4448, 547, 741, 17069, 864, 779, 13821, 543, 12194, 780, 300, 7394, 6392, 4249, 513, 2629, 1909, 1932, 269, 3807, 899, 27568, 649, 1294, 538, 9413, 267, 1004, 1413, 909, 547, 741, 3401, 609, 25621, 543, 2463, 269, 4475, 267, 2679, 606, 5683, 1062, 1759, 593, 19969, 267, 14619, 267, 543, 5126, 3029, 519, 5127, 13702, 540, 1022, 7123, 7706, 269, 1879, 1004, 3972, 741, 3401, 267, 789, 1745, 5150, 267, 3850, 4708, 543, 13884, 547, 21707, 780, 27609, 532, 2104, 5481, 568, 1776, 1898, 10279, 585, 1022, 16313, 269, 23496, 27402, 540, 7326, 267, 2418, 267, 543, 5389, 23933, 519, 24536, 585, 14182, 781, 1967, 2984, 269, 1635, 18997, 646, 15077, 19100, 267, 513, 4622, 18715, 1010, 9371, 2729, 593, 1279, 1310, 646, 814, 5293, 2476, 780, 15563, 267, 14017, 543, 10279, 1106, 519, 22449, 540, 513, 14762, 10806, 269, 1306, 2938, 2429, 1686, 267, 20247, 5819, 1399, 1419, 5012, 547, 14784, 543, 31774, 269, 4935, 267, 5807, 14017, 1851, 642, 817, 1023, 543, 26110, 18791, 9322, 543, 8992, 6617, 269, 30027, 3585, 267, 8508, 513, 2631, 540, 17185, 24864, 3401, 547, 957, 4075, 28204, 896, 2604, 267, 1256, 950, 1100, 835, 568, 8384, 780, 1103, 3932, 267, 4742, 513, 1390, 4622, 3340, 1454, 811, 982, 1175, 9100, 1746, 513, 13862, 269, 2290, 1590, 1451, 547, 4383, 4664, 267, 3635, 1582, 3146, 14259, 842, 267, 4497, 3927, 609, 1866, 267, 3715, 5837, 13210, 267, 5965, 519, 1985, 5108, 267, 2611, 10121, 267, 543, 4163, 856, 11645, 29367, 269, 1452, 4245, 4019, 3564, 10120, 2053, 282, 2413, 14761, 1223, 4324, 30140, 689, 4974, 891, 3741, 1932, 269, 5457, 267, 5718, 3884, 1405, 8806, 8066, 513, 2990, 282, 621, 781, 11121, 1689, 543, 2208, 1472, 721, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 13022, 12818, 540, 18301, 1222, 281, 27801, 7010, 267, 9576, 11595, 267, 543, 519, 1744, 12686, 540, 5927, 2231, 454, 268, 634, 7690, 540, 18301, 1222, 281, 1323, 4985, 547, 519, 27801, 12856, 454, 268, 20223, 519, 7690, 540, 18301, 1222, 281, 18567, 543, 8191, 885, 454, 268, 634, 3751, 607, 26851, 543, 26064, 281, 26930, 585, 519, 8003, 781, 4270, 5630, 454, 268, 29923, 519, 8682, 281, 634, 3751, 781, 18696, 540, 32313, 267, 17217, 267, 543, 2271, 340, 819, 454, 268, 5295, 543, 10163, 571, 842, 281, 634, 11957, 540, 8682, 4211, 2632, 1503, 543, 9966, 1006, 538, 513, 3751, 454, 268, 634, 5680, 540, 29568, 281, 19484, 24547, 558, 2329, 267, 21835, 267, 543, 5398, 32722, 454, 268, 26874, 16958, 543, 20154, 25043, 281, 8490, 606, 19078, 3590, 585, 519, 8003, 454, 268, 634, 26930, 540, 22684, 281, 27759, 519, 8892, 540, 519, 7464, 332, 543, 922, 4658, 454, 268, 634, 3751, 781, 2622, 1613, 281, 700, 5819, 1399, 267, 667, 14280, 267, 543, 519, 11957, 540, 21887, 454, 268, 700, 5819, 1399, 281, 634, 7690, 540, 513, 853, 762, 8003, 454, 268, 634, 3751, 781, 667, 14280, 281, 26930, 267, 12484, 826, 267, 543, 519, 13379, 540, 519, 22477, 454, 268, 4197, 21887, 281, 6184, 697, 998, 9966, 1006, 543, 27919, 454, 268, 634, 3751, 8957, 519, 15552, 281, 634, 667, 13377, 540, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 623, 27773, 13316, 1315, 4139, 9534, 1315, 24547, 558, 2329, 1315, 3557, 23779, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 31845, 7981, 15051, 910, 32445, 593, 519, 4400, 1530, 553, 692, 5970, 596, 2479, 4862, 540, 2027, 4229, 286, 1452, 616, 3810, 8036, 7980, 945, 4163, 856, 5728, 13485, 1282, 10617, 610, 7526, 269, 1358, 616, 1634, 585, 741, 22838, 267, 5578, 267, 543, 2848, 953, 269, 2755, 1082, 1004, 1589, 540, 2027, 4229, 5665, 1152, 593, 2244, 610, 538, 519, 6607, 267, 972, 568, 849, 971, 513, 3364, 607, 17535, 2027, 4238, 256, 901, 1797, 602, 891, 12703, 2367, 543, 2021, 2932, 5906, 543, 1271, 13485, 593, 519, 1164, 15798, 267, 538, 16996, 267, 543, 14015, 269, 2913, 781, 4685, 883, 713, 13858, 1158, 1927, 2439, 22492, 17086, 5808, 31160, 693, 7256, 692, 2467, 616, 1896, 8371, 540, 519, 4108, 3238, 538, 17535, 2027, 4238, 267, 1519, 519, 13108, 10323, 3201, 338, 630, 5353, 320, 267, 5794, 267, 543, 8092, 30581, 1070, 26066, 5211, 710, 10414, 267, 4112, 657, 633, 18103, 333, 766, 2598, 27760, 6887, 267, 543, 811, 269, 4653, 649, 786, 1445, 5631, 593, 519, 13108, 10323, 3201, 338, 267, 835, 540, 519, 1034, 1134, 8153, 2027, 4229, 4559, 538, 519, 1158, 780, 301, 8283, 10323, 3201, 338, 616, 24077, 569, 3514, 2043, 945, 1590, 1780, 27615, 9934, 2168, 4255, 1175, 547, 6443, 519, 2319, 269, 4495, 5697, 267, 789, 979, 998, 1256, 27162, 615, 2866, 1141, 789, 1451, 1983, 899, 10977, 267, 11362, 267, 1612, 778, 5024, 267, 12445, 267, 23542, 1431, 267, 543, 8396, 2553, 269, 4256, 6791, 2636, 873, 547, 7500, 538, 1585, 5054, 267, 1818, 873, 11684, 21847, 5827, 540, 7829, 1022, 5692, 16207, 741, 1259, 780, 14300, 540, 31845, 631, 3827, 692, 3086, 602, 596, 723, 606, 2856, 827, 945, 15824, 17535, 2027, 4238, 1577, 781, 1413, 693, 930, 1483, 3734, 1806, 540, 741, 13485, 269, 4438, 2622, 2782, 4083, 267, 7201, 4248, 5915, 565, 819, 30581, 630, 2181, 15479, 832, 547, 2221, 781, 13108, 10323, 3201, 338, 264, 23498, 10092, 585, 19917, 1190, 32042, 267, 4180, 2922, 13941, 10851, 585, 10136, 7088, 532, 10546, 24528, 269, 2859, 5063, 267, 1282, 20491, 12925, 328, 15213, 267, 10323, 3201, 12243, 12866, 5342, 3875, 9381, 29862, 338, 267, 25868, 10546, 8043, 267, 543, 10356, 2629, 4987, 780, 3080, 3226, 4583, 5692, 5473, 13108, 10323, 3201, 338, 3576, 1747, 593, 2904, 476, 272, 560, 267, 476, 1001, 272, 267, 950, 789, 986, 3660, 513, 7623, 538, 9031, 8027, 14642, 4821, 10822, 700, 23565, 267, 519, 4487, 332, 785, 3297, 519, 13249, 2621, 540, 5181, 476, 1556, 628, 267, 476, 1220, 272, 269, 4014, 711, 14553, 513, 17535, 5106, 2094, 621, 7018, 593, 2244, 267, 621, 9727, 519, 6909, 7207, 540, 891, 16918, 25881, 780, 6635, 28002, 28247, 625, 281, 12968, 1681, 12096, 523, 32445, 692, 1103, 938, 6679, 1349, 267, 649, 4121, 827, 519, 1488, 28002, 28247, 625, 1107, 513, 6131, 1895, 540, 13538, 945, 7390, 1169, 24133, 4371, 693, 1488, 28002, 2817, 30895, 269, 7324, 1346, 9788, 547, 1964, 972, 616, 9118, 2818, 540, 17535, 2027, 4238, 945, 1500, 519, 10700, 15093, 1247, 7674, 741, 2197, 269, 898, 781, 1898, 547, 3314, 543, 8956, 891, 12325, 543, 741, 3885, 267, 799, 568, 10502, 1018, 519, 1488, 28002, 28247, 625, 798, 865, 30780, 780, 6962, 692, 11321, 14144, 2027, 4238, 1404, 513, 4105, 1909, 538, 5329, 938, 4182, 5150, 267, 1312, 693, 1753, 543, 13383, 269, 3245, 21757, 10092, 585, 19917, 1190, 14213, 338, 547, 11018, 2565, 1344, 267, 891, 12703, 2367, 543, 2021, 4196, 609, 11984, 543, 11428, 269, 1306, 596, 4312, 1224, 267, 1373, 851, 540, 513, 17535, 2027, 4238, 2319, 3340, 11108, 2168, 8516, 267, 2790, 6830, 3363, 267, 543, 7463, 1983, 269, 1924, 1985, 942, 596, 1265, 3054, 2282, 519, 5836, 267, 1491, 513, 4090, 547, 5660, 519, 12325, 945, 2149, 721, 593, 543, 9944, 519, 6329, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 31388, 267, 2904, 476, 4029, 267, 476, 1001, 271, 454, 14197, 543, 11427, 269, 966, 663, 29118, 941, 588, 684, 2740, 543, 521, 5417, 2989, 676, 1018, 789, 14754, 602, 1554, 269, 2991, 1352, 8120, 689, 519, 28200, 267, 11427, 269, 966, 663, 29118, 6896, 513, 1895, 540, 5794, 10414, 24726, 547, 7390, 519, 1187, 5644, 540, 782, 15468, 2011, 5443, 734, 1729, 2327, 602, 9039, 941, 12617, 4805, 269, 8136, 543, 13108, 24726, 3533, 4553, 9290, 267, 543, 519, 1488, 28002, 21031, 941, 4535, 563, 5353, 1597, 5756, 2663, 267, 519, 21031, 1869, 2226, 741, 15500, 267, 11504, 1169, 24133, 4371, 693, 1488, 28002, 269, 769, 513, 26526, 3001, 2272, 267, 24796, 744, 262, 10468, 650, 540, 519, 23105, 4964, 6645, 519, 1650, 540, 891, 7415, 13538, 912, 29490, 12461, 14688, 21039, 267, 1419, 538, 22970, 543, 17309, 269, 11408, 7555, 267, 1688, 936, 2295, 267, 513, 16614, 3845, 689, 519, 18205, 269, 11408, 13533, 540, 1686, 563, 763, 21031, 917, 1169, 10759, 540, 1488, 28002, 781, 476, 277, 2190, 812, 545, 3293, 14143, 267, 689, 519, 10007, 540, 15685, 10437, 6825, 834, 684, 4385, 4961, 257, 547, 519, 18205, 540, 519, 1101, 17199, 954, 1042, 1934, 630, 7468, 10675, 5261 ]

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

[ 669, 833, 14150, 737, 987, 12711, 454, 288, 6611, 547, 8073, 3203, 269, 700, 636, 657, 4804, 269, 14914, 4569, 5623, 11314, 281, 595, 269, 634, 13100, 19255, 269, 23037, 676, 281, 28951, 269, 634, 15689, 540, 3203, 5149, 4530, 269, 3657, 596, 3168, 585, 634, 15689, 540, 3203, 5149, 286, 901, 568, 513, 8748, 1770, 547, 6338, 610, 2689, 634, 15689, 540, 3203, 269, 18500, 24058, 8551, 7868, 840, 12431, 20156, 3800, 707, 1053, 6863, 2157, 1354, 789, 2253, 634, 6478, 5455, 5741, 267, 543, 568, 4843, 538, 519, 1482, 3898, 543, 1377, 540, 7411, 607, 519, 2022, 12431, 20156, 269, 2311, 519, 1439, 540, 519, 1770, 267, 596, 786, 581, 2111, 547, 2268, 6863, 2208, 676, 9236, 2164, 593, 519, 840, 268, 543, 2022, 12431, 20156, 269, 12218, 881, 320, 1775, 7708, 10623, 334, 2319, 682, 2779, 324, 454, 2252, 596, 3442, 547, 1305, 909, 513, 2875, 268, 543, 1362, 13652, 9535, 1062, 267, 519, 840, 12431, 20156, 786, 581, 519, 1101, 1239, 1448, 547, 3950, 269, 1879, 596, 2285, 519, 840, 12431, 20156, 267, 596, 1058, 711, 1293, 519, 6060, 4724, 1053, 9344, 267, 607, 519, 3483, 540, 519, 1449, 568, 547, 3313, 875, 1454, 1053, 991, 547, 1451, 269, 1403, 596, 2995, 707, 1053, 602, 621, 1281, 711, 1293, 585, 513, 3446, 267, 2491, 602, 789, 1058, 1491, 519, 4879, 12517, 563, 13014, 2386, 547, 2995, 873, 602, 596, 1810, 1405, 2503, 873, 547, 917, 782, 519, 1913, 269, 1403, 1053, 798, 1360, 1134, 593, 519, 840, 12431, 20156, 267, 621, 568, 1271, 547, 2566, 602, 972, 616, 1082, 824, 1913, 602, 789, 786, 1869, 1451, 267, 543, 602, 789, 786, 723, 519, 4316, 547, 1831, 4966, 593, 519, 1913, 789, 2907, 917, 563, 2252, 596, 3442, 547, 798, 4928, 9477, 267, 596, 666, 2671, 519, 1053, 25939, 609, 873, 267, 855, 621, 568, 711, 2556, 547, 2689, 519, 4267, 693, 713, 942, 267, 607, 1053, 786, 1451, 519, 1913, 936, 519, 1576, 540, 634, 6478, 5455, 5741, 563, 2791, 1058, 2285, 519, 2022, 12431, 20156, 547, 707, 1053, 2390, 12032, 540, 782, 4559, 540, 634, 6478, 5455, 5741, 547, 2268, 6863, 2208, 689, 519, 840, 12431, 20156, 269, 1411, 666, 849, 946, 519, 2164, 540, 713, 1449, 607, 513, 3803, 1239, 1448, 593, 513, 1362, 268, 610, 2875, 13652, 9535, 5750, 269, 1879, 596, 2132, 519, 1449, 267, 596, 1058, 8661, 875, 1454, 1053, 723, 4121, 2094, 789, 3576, 519, 840, 12431, 20156, 563, 2171, 9364, 849, 2648, 547, 917, 875, 1134, 519, 1982, 5249, 585, 707, 1053, 269, 18461, 1863, 547, 4757, 519, 2164, 547, 9623, 1166, 665, 5879, 269, 6478, 5455, 6103, 476, 273, 281, 5426, 5695, 638, 18857, 269, 6478, 5455, 6103, 476, 274, 281, 5426, 4414, 269, 6478, 5455, 6103, 476, 275, 281, 5426, 21060, 269, 6478, 5455, 6103, 476, 276, 281, 5426, 1473, 15282, 269, 6478, 5455, 6103, 476, 277, 281, 5426, 5682, 269, 6478, 5455, 6103, 476, 278, 281, 5426, 14117, 269, 6478, 5455, 6103, 476, 279, 281, 5426, 9791, 269, 634, 10368, 1449, 568, 5497, 547, 948, 596, 3313, 519, 3617, 6478, 5455, 5741, 1377, 585, 707, 1362, 563, 2791, 666, 1265, 519, 1449, 267, 2626, 1883, 543, 3877, 593, 28720, 543, 16208, 621, 1934, 269, 5403, 5025, 1087, 20156, 1411, 1058, 2285, 519, 2022, 12431, 20156, 547, 707, 1053, 2390, 12032, 540, 782, 4559, 540, 634, 6478, 5455, 5741, 547, 2268, 6863, 2208, 689, 519, 840, 12431, 20156, 563, 268, 1548, 5949, 547, 519, 2370, 7911, 945, 15179, 539, 513, 8988, 13362, 2626, 1883, 454, 268, 1546, 4818, 816, 1990, 12221, 2228, 454, 268, 8431, 322, 267, 28040, 2088, 552, 24924, 14440, 2892, 9366, 1608, 857, 334, 454, 268, 1215, 1082, 7903, 5725, 513, 1554, 547, 6336, 2597, 454, 268, 645, 332, 342, 6521, 5679, 984, 8851, 454, 268, 2098, 344, 343, 601, 521, 760, 3473, 454, 268, 1684, 22705, 2132, 10297, 1163, 790, 454, 268, 28932, 2426, 795, 18605, 326, 579, 276, 9992, 335, 3758, 454, 268, 7316, 568, 544, 1263, 530, 11961, 17924, 2221, 454, 268, 1546, 25218, 1242, 12616, 1852, 540, 1804, 454, 268, 4425, 651, 327, 3758, 1930, 13972, 454, 268, 2506, 1738, 2780, 454, 268, 1215, 547, 1118, 513, 1793, 830, 3625, 10760, 3684, 538, 9553, 8154, 890, 454, 268, 3687, 1470, 5288, 524, 32397, 454, 268, 3848, 476, 278, 1591, 2497, 543, 1599, 1523, 4786, 2626, 1883, 454, 268, 5616, 546, 3311, 585, 17079, 29667, 344, 454, 268, 8437, 2899, 519, 5697, 15149, 568, 711, 4570, 585, 3009, 19142, 454, 268, 631, 4026, 328, 737, 328, 10259, 454, 268, 1215, 798, 1775, 4483, 1250, 1760, 926, 1433, 12201, 547, 513, 1007, 2780, 29390, 268, 21601, 341, 2884, 17309, 454, 268, 2558, 976, 27926, 10584, 8261 ]

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

[ 1250, 1378, 11042, 609, 9099, 5640, 945, 24633, 540, 18142, 3310, 267, 519, 5640, 1085, 4752, 693, 519, 10206, 602, 6031, 30782, 610, 9849, 513, 554, 6359, 629, 1797, 602, 519, 1268, 568, 2673, 16490, 267, 2462, 6838, 267, 543, 593, 741, 1259, 547, 4742, 6428, 2378, 328, 269, 901, 849, 5337, 2803, 519, 2834, 2686, 5385, 602, 4386, 950, 6634, 540, 12075, 2661, 538, 519, 3148, 269, 898, 568, 2147, 547, 875, 6634, 540, 12075, 723, 849, 7550, 1977, 18986, 1682, 998, 2833, 609, 1977, 2528, 269, 6736, 519, 2487, 25505, 609, 6519, 10016, 8145, 659, 626, 5515, 267, 621, 1131, 581, 513, 12161, 547, 8263, 602, 12075, 1210, 2296, 2474, 607, 1373, 6766, 676, 4207, 3043, 25160, 659, 1235, 563, 288, 2603, 540, 16198, 616, 1500, 609, 519, 5771, 1436, 540, 9031, 269, 634, 4473, 540, 16600, 15926, 969, 894, 4229, 814, 1044, 835, 540, 519, 32333, 540, 519, 9031, 4182, 269, 1717, 267, 713, 1705, 711, 4755, 1317, 2576, 1767, 968, 5472, 1695, 670, 12522, 345, 6100, 901, 1445, 593, 6259, 1436, 4625, 5337, 2803, 519, 1909, 540, 1065, 1833, 267, 2278, 23540, 267, 543, 519, 4108, 23032, 5771, 1436, 540, 519, 2197, 269, 634, 968, 288, 4599, 1436, 892, 1705, 711, 2049, 998, 2686, 5385, 267, 621, 7018, 998, 1533, 543, 513, 14610, 899, 2098, 807, 12804, 6953, 26698, 269, 28799, 713, 609, 519, 4254, 16478, 602, 7018, 1282, 519, 4550, 4149, 990, 2884, 5859, 267, 543, 596, 723, 513, 1360, 14984, 3575, 585, 5771, 1436, 563, 2467, 568, 1945, 547, 581, 1767, 827, 519, 2677, 529, 32222, 547, 3398, 5539, 543, 8116, 585, 2933, 269, 3657, 4507, 17528, 286, 4270, 267, 16620, 3026, 327, 745, 269, 595, 4292, 286, 4270, 602, 779, 519, 13337, 540, 519, 3703, 269, 3127, 568, 6849, 3486, 9880, 286, 4270, 602, 568, 519, 13337, 540, 513, 14692, 344, 968, 17954, 752, 3127, 892, 25211, 269, 589, 1950, 15491, 1966, 899, 17119, 1143, 610, 2686, 10593, 16634, 6202, 267, 1577, 779, 16620, 519, 29240, 563, 2252, 972, 779, 1945, 547, 1491, 2476, 689, 782, 540, 713, 267, 621, 779, 602, 6031, 30782, 610, 10548, 345, 534, 1281, 711, 1118, 596, 1447, 540, 513, 7332, 269, 590, 11691, 918, 732, 655, 610, 631, 889, 541, 752, 1281, 711, 1118, 596, 1447, 540, 606, 4095, 269, 1656, 6031, 16589, 670, 2378, 714, 1281, 711, 1118, 596, 513, 654, 1695, 4725, 328, 269, 8409, 945, 2161, 2901, 616, 1175, 20392, 741, 1378, 22293, 543, 2462, 582, 1845, 269, 0, 5278, 540, 873, 941, 25855, 1055, 547, 2342, 513, 1906, 2395, 2663, 547, 4339, 538, 519, 3689, 2622, 2782, 269, 1635, 2904, 540, 602, 1032, 267, 519, 2770, 1185, 22467, 3603, 519, 3943, 7952, 512, 29168, 563, 1103, 4873, 540, 602, 1032, 267, 811, 982, 476, 279, 2929, 941, 4547, 1524, 676, 14798, 538, 8050, 269, 898, 729, 5219, 547, 607, 968, 28049, 2770, 892, 676, 519, 3943, 267, 1247, 519, 5053, 1572, 621, 519, 968, 23210, 2770, 1848, 14118, 27833, 729, 2484, 811, 23487, 539, 982, 519, 16115, 519, 3943, 7952, 986, 1441, 1524, 2390, 519, 4436, 10546, 563, 3528, 519, 942, 602, 4832, 3357, 547, 513, 2673, 267, 14798, 1185, 16765, 2586, 519, 4436, 3046, 13715, 282, 693, 2547, 476, 6110, 267, 1822, 4436, 21127, 4503, 741, 2729, 269, 634, 9568, 3262, 547, 5607, 543, 25626, 3127, 543, 3624, 269, 634, 11114, 6755, 1231, 983, 729, 711, 838, 1563, 269, 634, 476, 4489, 279, 14798, 6855, 267, 799, 4797, 883, 519, 1739, 1032, 267, 3361, 9758, 11784, 2429, 519, 1158, 563, 763, 811, 9670, 1249, 568, 602, 519, 3965, 540, 519, 1608, 600, 640, 2451, 1004, 779, 8186, 865, 3533, 269, 3509, 1004, 945, 917, 827, 519, 3109, 20575, 267, 835, 540, 519, 4666, 31586, 5774, 12515, 1282, 519, 19744, 11270, 267, 855, 723, 1100, 2856, 827, 519, 968, 338, 20725, 2770, 2223, 799, 13264, 856, 538, 519, 476, 736, 628, 11416, 563, 288, 2101, 27521, 3297, 519, 1608, 600, 640, 729, 711, 513, 4411, 3644, 267, 855, 606, 14798, 3644, 563, 1103, 476, 1220, 276, 267, 3220, 269, 11518, 9445, 570, 879, 17754, 31000, 540, 519, 772, 2529, 269, 20331, 17086, 4659, 540, 11202, 1108, 16309, 538, 11837, 519, 4719, 1570, 540, 519, 3644, 602, 3361, 519, 14042, 476, 4489, 279, 14798, 6855, 269, 1261, 568, 1134, 8153, 585, 1010, 960, 25935, 5439, 540, 519, 476, 4489, 279, 3644, 689, 12873, 5160, 543, 15971, 922, 11646, 563, 3891, 5342, 606, 538, 3829, 1353, 593, 519, 1351, 335, 572, 540, 606, 705, 13092, 812, 945, 5747, 519, 1482, 1032, 607, 519, 2770, 6855, 543, 729, 12617, 538, 519, 4672, 585, 476, 3199, 1296, 538, 14522, 563, 3891, 7620, 5156, 513, 6477, 729, 519, 2101, 27521, 3297, 519, 15435, 282, 1004, 543, 2831, 666, 581, 7783, 609, 519, 6477, 14798, 3644, 269, 1717, 267, 1310, 513, 2673, 7634, 540, 3644, 6090, 13939, 689, 24767, 525, 267, 646, 6603, 519, 3932, 602, 519, 2068, 12090, 689, 5017, 563, 25748, 267, 513, 16143, 2013, 540, 26624, 14798, 7018, 538, 9705, 269, 3220, 269, 13937, 2967, 667, 1389, 6062, 540, 519, 2622, 2657, 9257, 267, 945, 568, 606, 4274, 593, 26624, 14798, 267, 6829, 1010, 6161, 281, 968, 10144, 616, 1932, 23387, 540, 519, 14686, 2360, 602, 26624, 14798, 666, 3142, 547, 519, 2898, 1158, 1848, 898, 568, 1164, 942, 547, 2721, 538, 519, 556, 1231, 1996, 26624, 14798, 563, 763, 5856, 568, 513, 2027, 1072, 27680, 585, 519, 11835, 784, 17951, 19129, 2692, 563, 3528, 5244, 570, 2801, 268, 5652, 684, 1496, 14140, 4067, 17106, 11333, 3820, 2639, 5415, 538, 674, 20667, 454, 291, 10308, 5733, 540, 513, 2048, 14490, 2486, 20371, 763, 1989, 574, 4641, 540, 13044, 1852, 454, 288, 1989, 574, 9963, 689, 476, 1015, 1296, 3516, 454, 293, 30480, 519, 3138, 2684, 3421, 454, 1432, 952, 513, 6205, 1750, 1846, 1010, 1004, 286, 0, 12179, 821, 945, 6499, 547, 581, 4190, 814, 547, 7985, 1107, 610, 693, 2547, 581, 4365, 16513, 269, 1703, 568, 1100, 824, 7778, 585, 519, 669, 559, 4565, 1622, 1851, 721, 1946, 1082, 1869, 3802, 1472, 609, 14229, 5474, 543, 21721, 27480, 14247, 753, 538, 5162, 950, 519, 2837, 568, 2630, 4642, 269, 4469, 21403, 1107, 834, 4148, 4770, 17094, 956, 2580, 602, 568, 267, 6029, 519, 17094, 956, 1107, 568, 7109, 762, 543, 1256, 16990, 538, 5614, 267, 4832, 543, 15489, 269, 769, 5162, 267, 2705, 267, 621, 666, 2014, 4411, 3952, 538, 1079, 2081, 269, 7053, 267, 930, 666, 4250, 20414, 513, 4411, 689, 741, 6534, 17094, 956, 269, 1772, 519, 6161, 20582, 888, 2710, 4701, 10990, 593, 519, 5162, 1166, 21403, 7678, 269, 634, 4387, 7671, 3171, 19816, 601, 518, 5143, 13910, 1504, 602, 519, 11953, 17094, 956, 1223, 14020, 519, 4761, 1062, 269, 769, 606, 5967, 609, 21512, 299, 267, 1010, 26393, 12246, 334, 27439, 25279, 17648, 519, 6587, 281, 769, 1762, 267, 2635, 1004, 267, 4411, 3952, 1223, 1256, 7794, 519, 4761, 1062, 269, 5637, 723, 741, 7440, 269, 1677, 1174, 543, 19665, 873, 267, 596, 723, 547, 917, 875, 519, 1480, 4761, 1062, 1568, 269, 3371, 568, 513, 2370, 2007, 1833, 563, 290, 1245, 815, 4411, 888, 763, 1351, 7431, 6433, 814, 4440, 11104, 3585, 4824, 938, 1620, 540, 11763, 3676, 269, 1284, 1031, 547, 1589, 602, 519, 4411, 729, 9003, 547, 16620, 950, 649, 6952, 4411, 267, 649, 1631, 917, 602, 596, 723, 547, 581, 6534, 547, 13596, 538, 1931, 547, 6952, 3676, 269, 901, 711, 1152, 10039, 547, 13044, 268, 866, 267, 855, 849, 547, 519, 5929, 4411, 269, 1924, 952, 649, 959, 19276, 998, 519, 4411, 609, 11953, 17094, 956, 693, 910, 736, 5232, 267, 855, 1810, 1405, 2743, 513, 9997, 585, 4374, 1354, 543, 1310, 267, 1287, 519, 1981, 540, 20414, 513, 4411, 568, 4642, 269, 3143, 2339, 875, 4411, 649, 616, 563, 3086, 649, 666, 2356, 2569, 938, 17066, 267, 855, 711, 13373, 880, 873, 269, 4634, 519, 32399, 1200, 332, 1080, 723, 547, 1683, 2933, 609, 1426, 11214, 269, 769, 4641, 267, 2348, 513, 2178, 4761, 1062, 568, 513, 2318, 3364, 269, 1656, 4411, 4617, 839, 713, 269, 1403, 649, 19068, 267, 2436, 593, 938, 3946, 267, 3952, 610, 938, 2212, 267, 938, 2898, 1560, 4422, 883, 4411, 7154, 269, 1261, 1287, 5097, 6212, 593, 23478, 1973, 547, 519, 4105, 8219, 269, 901, 1797, 602, 972, 616, 7864, 4761, 2281, 538, 519, 9224, 543, 11563, 269, 634, 8878, 1996, 8290, 666, 3006, 2887, 676, 519, 2081, 728, 269, 2311, 2547, 538, 3069, 269, 5221, 1256, 952, 621, 4992, 26363, 267, 621, 814, 711, 2943, 1044, 23963, 8810, 602, 4411, 2965, 4679, 519, 2557, 540, 897, 1091, 563, 763, 1249, 602, 519, 4411, 4005, 14013, 8813, 883, 519, 4411, 4005, 666, 723, 824, 4128, 269, 1284, 6108, 811, 942, 538, 1507, 267, 6806, 11623, 609, 1896, 1004, 269, 634, 8290, 666, 25747, 5577, 689, 1268, 547, 1268, 269, 1284, 849, 899, 547, 2490, 593, 519, 8022, 269, 1809, 621, 568, 10502, 519, 3636, 267, 3819, 8022, 2011, 602, 1743, 625, 856, 938, 17725, 29935, 17011, 267, 865, 602, 8290, 666, 23309, 1732, 563, 1432, 1281, 713, 1611, 585, 519, 11953, 17094, 956, 888, 2252, 649, 19068, 998, 938, 11953, 17094, 956, 543, 4061, 6467, 519, 8022, 547, 519, 5207, 1377, 950, 649, 2097, 1753, 267, 972, 568, 693, 2547, 606, 2799, 1981, 540, 897, 1091, 1813, 547, 519, 3819, 8022, 2011, 269, 1809, 1018, 827, 519, 3069, 602, 519, 4411, 17094, 956, 957, 607, 513, 2186, 540, 8710, 3797, 543, 1223, 1256, 7794, 519, 4761, 1062, 286, 10201, 908, 4411, 543, 3636, 15128, 616, 9277, 547, 7794, 519, 4761, 1062, 267, 2687, 547, 930, 4966, 269, 2334, 781, 1946, 1082, 2220, 792, 676, 4411, 29636, 610, 12902, 538, 519, 6777, 1310, 519, 1094, 10044, 269, 898, 568, 1152, 25127, 2436, 519, 1507, 1863, 1858, 540, 2960, 593, 519, 21721, 666, 723, 519, 1482, 1198, 269, 11086, 267, 3025, 814, 547, 1265, 856, 585, 2933, 875, 1134, 789, 666, 6023, 519, 7678, 538, 519, 4411, 269, 29778, 321, 924, 267, 945, 1810, 1405, 1616, 547, 798, 1510, 2110, 14247, 753, 543, 14229, 5474, 267, 1223, 849, 1265, 513, 16185, 609, 31042, 26852, 563, 1692, 827, 891, 12001, 4174, 6244, 26852, 689, 1306, 657, 888, 5194, 1434, 9133, 1996, 4411, 3952, 281, 3636, 1202, 3421, 269, 1411, 666, 1205, 873, 538, 1082, 3075, 560, 2803, 610, 538, 24502, 540, 4557, 585, 476, 1704, 269, 7367, 20789, 338, 593, 8835, 281, 0, 268, 1215, 666, 596, 15835, 5068, 888, 268, 1215, 798, 596, 4894, 24268, 5068, 888, 268, 2052, 24268, 5068, 32669, 8764, 622, 1426, 888, 268, 1548, 4523, 952, 596, 15835, 5068, 538, 519, 14089, 888, 268, 4024, 3619, 334, 717, 821, 4894, 24268, 5068, 888, 268, 1215, 6757, 568, 24268, 5068, 538, 519, 14089, 888, 268, 1548, 4523, 952, 596, 13236, 538, 26151, 5068, 888, 268, 4208, 1281, 1250, 2777, 9329, 899, 13621, 5068, 888, 268, 2052, 7244, 538, 8781, 5068, 6146, 596, 888, 268, 1215, 6757, 568, 26151, 5068, 888, 268, 1215, 798, 596, 1205, 26151, 5068, 9329, 856, 540, 14089, 888, 268, 2052, 24268, 5068, 32669, 581, 5739, 888, 268, 1215, 798, 594, 1205, 24268, 5068, 1055, 1250, 14089, 1283, 888, 1692, 666, 596, 15835, 5068, 888, 15368, 1227, 267, 11547, 519, 14569, 267, 2759, 11313, 655, 883, 1507, 19242, 25098, 543, 1402, 873, 538, 513, 4496, 8708, 543, 883, 519, 14089, 693, 476, 12573, 293, 563, 2005, 1058, 1491, 513, 1906, 3764, 585, 519, 5068, 547, 15835, 563, 3719, 3314, 267, 13621, 15229, 786, 3132, 32669, 799, 666, 581, 5739, 952, 31067, 563, 13014, 2386, 547, 15835, 873, 538, 513, 1134, 5887, 23624, 1858, 10756, 1692, 798, 596, 4894, 24268, 5068, 888, 5475, 519, 547, 2120, 14089, 814, 22799, 1524, 267, 596, 1616, 547, 20057, 548, 930, 11256, 14614, 593, 513, 14927, 26703, 267, 543, 21066, 1085, 712, 519, 1858, 547, 608, 9110, 5573, 519, 2627, 543, 4894, 519, 31629, 24268, 5068, 11353, 269, 645, 1136, 14614, 1568, 2523, 1134, 950, 596, 1616, 547, 2973, 909, 7622, 10913, 538, 606, 13476, 7874, 267, 1875, 3562, 13877, 1259, 563, 4692, 24268, 5068, 32669, 8764, 622, 1426, 888, 3080, 540, 519, 1034, 5906, 2609, 540, 513, 3595, 568, 3006, 711, 519, 3595, 3294, 267, 855, 9215, 311, 2975, 674, 9331, 2464, 5950, 689, 8781, 2326, 269, 8409, 32669, 666, 6146, 282, 789, 666, 849, 8764, 622 ]

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

[ 542, 13907, 543, 2061, 1022, 22636, 610, 11369, 1782, 602, 666, 2049, 1813, 547, 512, 832, 542, 13907, 563, 299, 1933, 17392, 281, 8776, 4302, 543, 512, 832, 542, 723, 606, 1198, 593, 875, 13907, 616, 7856, 1369, 7344, 1949, 269, 8776, 4302, 3892, 1590, 581, 5402, 7307, 538, 15914, 12227, 547, 2057, 20358, 532, 1022, 1808, 5057, 282, 538, 7293, 2609, 899, 26971, 543, 20832, 267, 8082, 3892, 786, 3313, 2127, 609, 2799, 610, 8519, 2566, 9830, 1369, 1142, 5057, 563, 21902, 13437, 281, 8776, 4302, 543, 512, 832, 542, 666, 723, 513, 16854, 1198, 593, 7344, 1949, 685, 2949, 2773, 267, 971, 607, 6472, 685, 10231, 267, 6287, 532, 4390, 267, 543, 4492, 4346, 282, 20022, 1949, 685, 512, 832, 542, 5222, 11878, 4313, 267, 6617, 267, 543, 7829, 269, 4475, 267, 5883, 543, 9013, 891, 3344, 616, 7533, 2694, 540, 17306, 7344, 1062, 10342, 563, 25811, 619, 543, 9858, 991, 513, 2620, 1702, 540, 18165, 543, 512, 832, 542, 2360, 593, 7344, 1949, 538, 1931, 547, 2327, 2922, 543, 3608, 5106, 267, 11126, 2773, 543, 8831, 14438, 269, 7743, 2079, 267, 5057, 5542, 267, 543, 1374, 9270, 1644, 547, 18165, 543, 512, 832, 542, 3565, 3648, 547, 10727, 543, 10342, 538, 7344, 1949, 563, 307, 528, 4302, 543, 512, 832, 542, 616, 1079, 1644, 2035, 602, 1404, 606, 1898, 1909, 538, 1585, 3344, 540, 11707, 543, 4702, 269, 8776, 4302, 6257, 519, 24364, 3196, 610, 4090, 602, 3123, 3615, 547, 17967, 610, 1689, 741, 24364, 5163, 282, 621, 568, 4122, 1336, 538, 7344, 3457, 563, 307, 832, 542, 593, 519, 824, 1688, 4016, 547, 6335, 532, 22636, 602, 4386, 538, 7293, 2609, 950, 16271, 547, 6335, 532, 4229, 971, 607, 18165, 269, 570, 832, 542, 2079, 814, 1880, 10083, 538, 7293, 4702, 607, 621, 2636, 8030, 547, 2708, 20832, 267, 14788, 338, 267, 543, 824, 3889, 6534, 547, 6335, 532, 4229, 269, 0, 28694, 5678, 595, 1132, 547, 3680, 2755, 8347, 532, 3502, 547, 5776, 21220, 25056, 569, 454, 2691, 3843, 711, 547, 1796, 26101, 569, 267, 621, 779, 1271, 547, 581, 3222, 540, 707, 1560, 1893, 10291, 269, 15742, 17267, 610, 2022, 999, 666, 1118, 596, 2408, 8401, 610, 13943, 269, 1677, 2057, 713, 267, 2057, 519, 1739, 1560, 1893, 10291, 912, 268, 21373, 4221, 707, 17525, 281, 901, 14302, 27711, 513, 3668, 540, 6015, 543, 666, 1118, 596, 2408, 6806, 1055, 269, 5502, 267, 2119, 547, 1832, 707, 17525, 17159, 543, 15504, 1394, 5594, 563, 268, 9061, 532, 707, 7916, 281, 9061, 532, 707, 7916, 666, 2285, 1055, 513, 17872, 642, 32079, 543, 1711, 513, 11064, 1063, 596, 543, 1866, 269, 5901, 707, 7916, 17159, 693, 707, 5011, 610, 946, 873, 585, 2067, 17267, 1247, 6340, 563, 268, 674, 573, 1326, 532, 281, 4790, 14688, 13346, 610, 3001, 1472, 666, 1118, 596, 3100, 1964, 1652, 543, 14221, 269, 8347, 547, 2226, 513, 9350, 543, 7768, 1629, 6756, 528, 676, 5329, 5322, 8766, 563, 268, 3680, 532, 3750, 3346, 281, 19768, 540, 3750, 3346, 666, 1118, 596, 3100, 771, 15517, 539, 610, 796, 1952, 25209, 762, 269, 5269, 606, 4674, 547, 2226, 3750, 3346, 609, 1866, 1282, 7391, 267, 855, 1810, 1406, 588, 732, 23494, 563, 8794, 1930, 1560, 1893, 568, 1883, 547, 9319, 7555, 26101, 569, 563, 15411, 1560, 1893, 2882, 4608, 1484, 539, 7916, 267, 17159, 14302, 267, 543, 4509, 3750, 3346, 609, 1866, 269, 1635, 12561, 891, 10291, 267, 596, 786, 2408, 811, 3839, 543, 8746, 538, 1514, 3871, 563, 19522, 585, 1210, 1930, 1560, 1893, 912, 268, 5901, 707, 7916, 17159, 693, 707, 5011, 610, 946, 873, 6923, 1247, 6340, 563, 268, 5776, 7381, 609, 707, 17525, 1394, 543, 2212, 4371, 1164, 563, 268, 19321, 1434, 3750, 3346, 609, 1866, 1510, 31325, 1932, 7920, 569, 563, 268, 6875, 2620, 24967, 547, 948, 6001, 1022, 8082, 538, 707, 1560, 563, 18719, 557, 2659, 5403, 675, 547, 2561, 792, 2859, 4762, 1211, 543, 3680, 30557, 21220, 25056, 569, 454, 3963, 568, 14302, 1271, 888, 31010, 1434, 14302, 711, 1152, 2337, 596, 2408, 811, 8746, 855, 849, 814, 3875, 1072, 2640, 269, 6153, 14302, 20383, 707, 1560, 5265, 267, 4227, 8833, 593, 6091, 543, 10549, 267, 7303, 1394, 1928, 267, 543, 5355, 2949, 2168, 1134, 5630, 269, 3958, 267, 621, 666, 9797, 1764, 707, 7099, 543, 1582, 12656, 4003, 563, 19522, 585, 5355, 14302, 912, 272, 269, 5776, 7381, 281, 5994, 513, 5569, 17444, 519, 1283, 540, 707, 2212, 2509, 519, 18109, 267, 561, 1263, 28517, 707, 12636, 563, 273, 269, 18918, 707, 4295, 281, 16237, 28517, 707, 14159, 6091, 2337, 1489, 1697, 12972, 563, 274, 269, 4039, 1314, 707, 17525, 281, 3680, 14598, 4221, 610, 9937, 532, 873, 909, 282, 3079, 267, 1577, 873, 6923, 2887, 1394, 543, 1524, 563, 275, 269, 20518, 1393, 2597, 14961, 281, 3550, 602, 707, 2597, 568, 7059, 1063, 1312, 3952, 547, 2057, 10709, 532, 610, 7957, 1681, 835, 2427, 563, 276, 269, 1325, 793, 25637, 543, 10652, 6665, 281, 5901, 873, 1377, 676, 512, 31902, 538, 707, 2766, 14752, 5594, 563, 3528, 8026, 891, 4388, 9846, 267, 596, 666, 2087, 707, 14302, 267, 608, 8775, 6015, 267, 543, 2057, 26101, 7555, 7158, 563, 20007, 2294, 543, 20113, 547, 18461, 2859, 1290, 13025, 538, 4317, 32163, 725, 543, 3680, 30557, 21220, 25056, 569, 454, 763, 1379, 540, 1560, 1893, 454, 28694, 1893, 4249, 513, 2629, 1909, 538, 1514, 4205, 269, 1635, 1373, 3222, 540, 875, 596, 3180, 3054, 543, 1210, 1978, 2553, 267, 596, 666, 1745, 811, 6899, 538, 1514, 3871, 1247, 9319, 26101, 7555, 563, 19931, 1560, 1893, 2553, 912, 272, 269, 7046, 18879, 281, 5776, 609, 707, 3952, 13105, 2914, 5954, 6306, 543, 1832, 707, 7916, 17159, 693, 707, 5011, 269, 901, 1930, 14302, 6786, 1935, 1464, 563, 273, 269, 19321, 3750, 3346, 281, 26787, 3750, 3346, 2982, 1719, 543, 6278, 538, 7391, 563, 274, 269, 3911, 850, 22992, 281, 3911, 4979, 711, 1152, 2306, 596, 2408, 7874, 855, 849, 13847, 1439, 6973, 1231, 267, 20993, 707, 7099, 563, 275, 269, 2422, 1688, 17267, 281, 30785, 1688, 5322, 666, 3986, 707, 2792, 543, 1118, 596, 1745, 811, 7722, 563, 276, 269, 19257, 2928, 1866, 685, 1560, 1893, 281, 16265, 569, 708, 23550, 519, 1560, 1893, 540, 1346, 1472, 596, 666, 1711, 513, 2631, 540, 4276, 543, 4313, 563, 3528, 6220, 891, 2553, 883, 707, 1514, 4205, 267, 596, 666, 1745, 811, 693, 8897, 1247, 7555, 543, 2057, 26101, 1145, 563, 13349, 27190, 1389, 547, 3680, 1879, 8347, 532, 3502, 547, 5776, 21220, 25056, 569, 454, 288, 16346, 540, 1455, 9073, 454, 2691, 3843, 547, 2057, 7555, 26101, 569, 267, 621, 779, 1898, 547, 581, 3222, 540, 1455, 9073, 602, 949, 17225, 707, 3646, 563, 300, 626, 1389, 547, 2057, 912, 272, 269, 6215, 537, 4221, 610, 1793, 18804, 281, 18648, 14302, 666, 1118, 596, 2408, 771, 15517, 539, 610, 15877, 6015, 563, 273, 269, 9061, 532, 7916, 610, 7953, 281, 901, 6806, 11325, 18879, 666, 5365, 1219, 839, 4369, 610, 9636, 563, 274, 269, 674, 573, 1326, 532, 23494, 281, 19693, 3350, 666, 6655, 8401, 1145, 543, 16297, 689, 519, 6643, 563, 275, 269, 12833, 8172, 2123, 2230, 281, 30557, 1932, 2673, 547, 1866, 949, 1118, 873, 1745, 13943, 610, 22125, 563, 276, 269, 3680, 532, 3750, 3346, 281, 19768, 540, 3750, 3346, 666, 2285, 519, 12705, 540, 771, 1263, 1771, 610, 3668, 540, 1719, 563, 3528, 9319, 891, 1455, 9073, 267, 596, 666, 1459, 3054, 18390, 1247, 7555, 538, 1514, 5468, 563, 8923, 4063, 602, 519, 1543, 3177, 1934, 568, 585, 21141, 5301, 1152, 543, 1058, 711, 5372, 3318, 5796, 610, 5583, 563, 7021, 5765, 8682, 4211, 976, 4109, 1145, 543, 16473, 532, 21220, 25056, 30557, 538, 5398, 454, 8139, 519, 17848, 540, 8682, 4211, 976, 4109, 1145, 454, 20236, 23655, 1145, 1419, 11710, 689, 513, 4250, 540, 10385, 610, 2942, 6268, 676, 1866, 269, 898, 666, 1118, 7555, 538, 1857, 1745, 13943, 543, 26101, 269, 1677, 7753, 1582, 23655, 1145, 267, 621, 568, 1271, 547, 5431, 602, 3025, 814, 538, 572, 15247, 543, 602, 1004, 616, 3622, 811, 5059, 593, 2933, 982, 593, 32198, 1866, 269, 3816, 785, 3054, 602, 596, 616, 17709, 540, 2463, 543, 10343, 267, 7488, 540, 875, 596, 949, 13498, 3054, 563, 3080, 2500, 4480, 585, 20408, 1582, 23655, 1145, 568, 8026, 1582, 268, 3530, 3305, 566, 269, 901, 3322, 29596, 22348, 3054, 540, 707, 2318, 7907, 543, 9342, 269, 6969, 2469, 856, 538, 1857, 267, 1491, 513, 4090, 547, 2992, 593, 707, 18517, 267, 1983, 267, 543, 2189, 7907, 269, 19244, 2318, 14751, 725, 971, 607, 968, 296, 993, 8746, 892, 610, 968, 296, 993, 6899, 538, 1250, 1378, 2960, 1848, 1635, 17923, 2318, 4555, 827, 3054, 267, 596, 666, 5818, 707, 1582, 21873, 543, 2569, 4606, 540, 1582, 23655, 1145, 563, 1700, 5269, 513, 1592, 540, 707, 10781, 543, 7907, 602, 596, 616, 10583, 540, 563, 1700, 3503, 1524, 2318, 14751, 725, 593, 20202, 4967, 543, 1747, 873, 1141, 596, 786, 1294, 873, 4749, 563, 1700, 6657, 6031, 2318, 1919, 827, 3054, 856, 10978, 1169, 1554, 563, 8777, 1645, 538, 24238, 9828, 454, 21790, 6888, 2553, 666, 948, 28570, 707, 1445, 2476, 689, 1582, 23655, 4555, 1247, 7555, 538, 1857, 269, 9796, 3007, 547, 519, 1459, 4090, 267, 2864, 982, 20468, 827, 875, 1866, 13498, 596, 269, 10312, 593, 707, 7244, 610, 4497, 609, 707, 10450, 676, 11287, 3877, 971, 607, 4778, 267, 4992, 267, 610, 18282, 269, 1635, 8026, 11009, 267, 596, 666, 6521, 707, 3007, 2476, 689, 1582, 23655, 1145, 543, 9784, 519, 1459, 4090, 609, 3152, 8897, 563, 1700, 8347, 2620, 7244, 5751, 547, 9350, 1022, 14221, 4606, 563, 1700, 2422, 27733, 2553, 971, 607, 711, 6005, 2947, 1919, 596, 666, 1294, 267, 2185, 1919, 596, 666, 5905, 267, 1614, 1919, 596, 666, 5873, 267, 1079, 1919, 596, 666, 9329, 267, 543, 835, 3364, 596, 666, 6492, 563, 1700, 18918, 538, 2238, 602, 3895, 11009, 267, 971, 607, 10649, 610, 9066, 563, 19522, 585, 12056, 538, 22062, 566, 610, 9540, 13185, 547, 18461, 10815, 21220, 25056, 2755, 30557, 454, 30874, 23016, 543, 1306, 6362, 7046, 7232, 526, 539, 5999, 454, 2691, 2502, 538, 6643, 1247, 7555, 267, 3742, 6947, 568, 1883, 269, 8058, 9758, 1719, 538, 519, 824, 1268, 676, 4509, 3750, 3346, 267, 12162, 3429, 267, 543, 3246, 11913, 10291, 547, 5815, 602, 596, 616, 8362, 6947, 269, 3958, 267, 6998, 1930, 25804, 2055, 7512, 519, 824, 1268, 547, 2671, 811, 827, 2933, 543, 8952, 519, 6643, 13576, 6923, 563, 14300, 540, 7046, 7232, 526, 539, 5999, 912, 1700, 968, 1432, 798, 596, 2972, 3257, 538, 707, 1863, 942, 18313, 1700, 968, 307, 749, 803, 827, 707, 5172, 2951, 1995, 3034, 1700, 968, 1692, 1705, 596, 1831, 5461, 538, 1496, 320, 1888, 789, 5018, 316, 18313, 8794, 10610, 5678, 547, 1230, 3272, 9314, 454, 7312, 1560, 1893, 4249, 513, 2629, 1909, 538, 1818, 1866, 1745, 6899, 543, 7722, 1282, 513, 6643, 269, 5776, 609, 606, 1930, 14302, 267, 6849, 519, 1268, 596, 616, 6340, 609, 269, 3680, 15385, 707, 7916, 610, 535, 573, 1326, 532, 23494, 607, 621, 949, 6655, 771, 15517, 610, 8401, 1145, 269, 19321, 3617, 3750, 3346, 1510, 31325, 7920, 569, 269, 1452, 26068, 10291, 666, 948, 1711, 513, 2318, 543, 22205, 1604, 585, 6643, 563, 1700, 5776, 7381, 609, 17525, 17159, 543, 2057, 1793, 537, 4221, 563, 1700, 2422, 1688, 17267, 838, 2130, 569, 547, 11168, 2798, 610, 1397, 15131, 563, 1700, 19257, 2928, 519, 824, 1268, 779, 1560, 1893, 5705, 569, 547, 3715, 29037, 563, 20797, 15765, 23016, 20113, 912, 1700, 19244, 1394, 1018, 519, 824, 1268, 1767, 1210, 1114, 1913, 547, 2327, 1620, 563, 1700, 5681, 3405, 1125, 741, 1292, 2798, 1310, 789, 9096, 6340, 563, 1700, 9105, 1246, 5346, 2055, 1759, 593, 1018, 789, 3838, 547, 6542, 707, 6278, 563, 9616, 281, 5457, 602, 711, 782, 7391, 786, 2095, 12347, 610, 1267, 538, 2620, 4296, 269, 898, 779, 15502, 547, 723, 1769, 27329, 1507, 2911, 543, 1847, 593, 952, 519, 6643, 3085, 1406, 6923, 3356, 563, 19931, 18467, 547, 20431, 344, 2659, 24732, 610, 10610, 28073, 2755, 30557, 454, 272, 269, 22982, 7435, 30123, 999, 454, 3080, 2500, 1259, 547, 19582, 707, 3946, 1247, 7555, 568, 676, 1210, 1688, 17267, 269, 901, 666, 948, 6655, 707, 4555, 543, 4664, 267, 1818, 596, 2408, 811, 7722, 543, 8746, 269, 1280, 1383, 267, 596, 666, 946, 1930, 13869 ]

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

[ 326, 1633, 267, 700, 1421, 1546, 30716, 24586, 267, 645, 1421, 1299, 12390, 4614, 523, 267, 966, 269, 670, 269, 476, 1220, 280, 267, 7442, 297, 267, 476, 3583, 273, 267, 476, 272, 454, 268, 918, 20199, 523, 1696, 620, 269, 630, 1001, 272, 264, 918, 20199, 523, 267, 589, 1421, 717, 6759, 1889, 345, 6953, 518, 516, 549, 267, 681, 1421, 1299, 1261, 828, 267, 645, 269, 476, 1001, 272, 267, 3752, 269, 4284, 1421, 538, 2046, 454, 268, 918, 1495, 340, 1696, 620, 269, 630, 1960, 276, 264, 918, 1495, 340, 267, 631, 269, 681, 1421, 681, 4954, 514, 267, 808, 269, 623, 1421, 21193, 3279, 267, 715, 1421, 1696, 620, 269, 476, 1960, 276, 267, 7442, 297, 267, 476, 4510, 278, 267, 700, 13670, 454, 268, 2274, 4565, 4545, 1696, 620, 269, 630, 1960, 279, 264, 2274, 4565, 4545, 267, 962, 1421, 667, 592, 330, 267, 717, 269, 589, 1421, 1299, 25376, 613, 4958, 267, 808, 269, 476, 1960, 279, 267, 3752, 269, 4284, 1421, 476, 8146, 267, 476, 13679, 454, 268, 715, 532, 1696, 620, 269, 630, 1220, 275, 264, 715, 532, 267, 2098, 1421, 769, 5886, 267, 667, 269, 661, 1421, 1299, 3752, 1678, 328, 267, 590, 269, 918, 269, 476, 1220, 275, 267, 589, 26031, 267, 476, 275, 866, 267, 476, 14625, 272, 454, 268, 21193, 3279, 1696, 620, 269, 630, 1220, 279, 264, 21193, 3279, 267, 715, 269, 966, 1421, 28224, 267, 717, 269, 631, 1421, 654, 1221, 523, 20198, 267, 631, 269, 661, 1421, 1696, 620, 269, 476, 1220, 279, 267, 7442, 297, 267, 476, 277, 4037, 267, 700, 10219, 454, 268, 5576, 686, 329, 591, 1299, 7170, 630, 1001, 272, 264, 5576, 686, 329, 591, 267, 595, 269, 808, 269, 1299, 7170, 267, 589, 269, 631, 269, 476, 1001, 272, 267, 808, 269, 2983, 19398, 269, 1763, 1421, 538, 2046, 454, 268, 1744, 756, 1092, 1696, 620, 269, 630, 1960, 273, 264, 1744, 756, 1092, 267, 918, 1421, 1772, 327, 18480, 267, 962, 1421, 2920, 517, 267, 700, 269, 654, 1421, 1696, 620, 269, 476, 1960, 273, 267, 623, 3008, 297, 267, 476, 4510, 267, 700, 15876, 454, 268, 1744, 24982, 14765, 1696, 620, 269, 630, 1960, 277, 264, 1744, 24982, 14765, 267, 631, 1421, 25300, 574, 9369, 267, 590, 1421, 1744, 756, 1092, 267, 918, 1421, 1696, 620, 269, 476, 1960, 277, 267, 623, 3008, 297, 267, 476, 4366, 267, 476, 11277, 454, 268, 1744, 24982, 14765, 1696, 620, 269, 630, 1960, 279, 264, 1744, 24982, 14765, 267, 631, 1421, 1744, 756, 1092, 267, 918, 1421, 1299, 29542, 267, 918, 269, 700, 269, 476, 1960, 279, 267, 3752, 269, 4284, 1421, 476, 9965, 267, 476, 4391, 280, 454, 268, 5204, 577, 1696, 620, 269, 630, 1220, 280, 264, 5204, 577, 267, 681, 1421, 26981, 926, 752, 990, 267, 966, 269, 631, 1421, 10127, 5585, 344, 267, 631, 1421, 1299, 1323, 21129, 690, 550, 990, 267, 590, 269, 476, 1220, 280, 267, 589, 26031, 267, 476, 31746, 267, 476, 8064, 272, 454, 268, 15651, 1696, 620, 269, 630, 1220, 277, 264, 15651, 267, 962, 1421, 17292, 267, 631, 1421, 1299, 28224, 267, 717, 269, 631, 269, 476, 1220, 277, 267, 7442, 297, 267, 476, 277, 4375, 267, 476, 275, 4817, 0, 297, 3253, 568, 1634, 585, 922, 18512, 5614, 15976, 971, 607, 519, 667, 2967, 13924, 517, 10202, 344, 13403, 630, 27962, 7430, 366, 11210, 480, 11210, 497, 7430, 502, 11210, 482, 7430, 491, 264, 538, 799, 513, 476, 8099, 271, 3723, 4457, 1915, 29544, 968, 13933, 892, 568, 1305, 705, 331, 10270, 593, 519, 2427, 540, 24398, 269, 589, 810, 610, 519, 744, 572, 631, 1846, 19441, 630, 16533, 493, 419, 478, 361, 419, 354, 511, 11210, 488, 264, 593, 519, 2034, 14349, 538, 4728, 1141, 2367, 267, 21039, 607, 2021, 267, 1685, 513, 18512, 7544, 29691, 16996, 538, 519, 22426, 269, 8616, 267, 585, 782, 540, 922, 32219, 7908, 8481, 267, 519, 11354, 4005, 6238, 1055, 22471, 11035, 609, 1744, 684, 321, 684, 1100, 28624, 630, 13107, 354, 26166, 28374, 20721, 354, 264, 610, 519, 31996, 531, 4982, 514, 2135, 4303, 563, 4002, 519, 31996, 531, 4982, 514, 2135, 4303, 519, 3141, 14380, 4010, 538, 519, 7532, 543, 5036, 4010, 538, 519, 7178, 267, 1818, 1554, 543, 3781, 3160, 538, 3259, 269, 1306, 2371, 2253, 547, 17708, 339, 543, 2831, 14679, 856, 540, 30489, 566, 267, 519, 5545, 8661, 31996, 531, 4982, 514, 2135, 676, 26621, 2470, 998, 11287, 519, 2242, 540, 519, 4005, 269, 27603, 267, 1744, 684, 321, 684, 1100, 28624, 568, 28263, 543, 840, 7672, 676, 519, 1614, 2395, 540, 670, 10247, 630, 25051, 376, 417, 366, 372, 1070, 519, 14418, 11812, 540, 968, 1492, 824, 13272, 892, 538, 799, 3885, 2097, 1927, 547, 8956, 11937, 945, 723, 18084, 936, 547, 519, 1985, 5933, 540, 1272, 563, 7628, 670, 10247, 621, 568, 2757, 547, 1118, 606, 5356, 540, 7573, 546, 636, 31958, 519, 1614, 2395, 1354, 543, 1310, 519, 31996, 531, 4982, 514, 2135, 269, 3509, 2749, 17743, 619, 946, 519, 9702, 547, 2132, 547, 741, 3885, 543, 948, 2973, 741, 5321, 269, 634, 1178, 4034, 2158, 540, 6068, 3283, 616, 18233, 676, 1688, 543, 519, 5810, 1472, 519, 19746, 4609, 616, 8719, 269, 4438, 519, 11354, 4982, 514, 2135, 519, 5545, 8956, 741, 11937, 676, 5356, 7762, 600, 5255, 328, 630, 7430, 376, 7430, 509, 11210, 480, 7430, 350, 1070, 513, 7573, 546, 636, 7204, 4988, 538, 6653, 2699, 21167, 13594, 267, 10150, 1310, 519, 18189, 2533, 563, 30153, 9821, 12732, 689, 22471, 559, 7071, 547, 856, 1633, 880, 15976, 269, 4014, 31996, 531, 4982, 514, 2135, 4303, 949, 711, 581, 607, 1166, 553, 1506, 607, 519, 824, 5614, 15976, 267, 621, 568, 606, 1271, 851, 540, 4358, 519, 5614, 4005, 538, 3567, 607, 1134, 607, 14237, 513, 2407, 1620, 543, 7071, 540, 5545, 2528, 563, 4537, 16336, 5576, 933, 12688, 267, 808, 6185, 1421, 568, 513, 3444, 14426, 26519, 267, 2413, 25654, 4274, 267, 543, 519, 13653, 540, 16257, 1299, 18264, 22761, 2622, 4204, 269, 769, 1840, 547, 1200, 20774, 2787, 538, 17685, 8590, 2359, 689, 519, 670, 29996, 4306, 3633, 292, 8998, 267, 1352, 5713, 607, 513, 4457, 24583, 3000, 658, 667, 1456, 18264, 22761, 28154, 538, 519, 17245, 3126, 25230, 639, 729, 513, 5253, 773, 267, 593, 14844, 2983, 334, 4658, 269, 2701, 568, 519, 17055, 28972, 4274, 593, 1079, 2442, 6197, 2982, 281, 13235, 570, 2086, 320, 7345, 779, 27450, 2349, 754, 543, 595, 7034, 21388, 779, 1284, 3657, 21388, 269, 2701, 568, 5781, 20926, 676, 18917, 13317, 267, 7767, 528, 779, 6355, 11545, 267, 674, 28232, 267, 543, 519, 2817, 6355, 4260, 11594, 269, 4173, 8835, 1948, 272, 7454, 590, 2454, 1433, 538, 4139, 6355, 267, 7457, 547, 5607, 281, 2659, 5564, 12734, 6355, 6651, 267, 1631, 538, 922, 3791, 8228, 267, 729, 3957, 547, 31489, 639, 17352, 685, 7454, 7734, 540, 476, 1001, 276, 269, 2701, 779, 513, 16771, 540, 519, 3703, 5794, 1811, 4139, 11780, 13815, 693, 519, 476, 1001, 277, 20523, 21388, 6355, 22952, 563, 1692, 547, 8917, 454, 309, 1774, 8386, 17733, 3440, 582, 7662, 21120, 281, 966, 2456, 676, 1533, 454, 2690, 519, 8734, 476, 274, 9550, 281, 2276, 616, 1818, 621, 4443, 585, 4961, 547, 8917, 15534, 2465, 676, 13875, 713, 1032, 1813, 547, 519, 11452, 269, 3962, 1533, 814, 922, 1378, 3652, 585, 13875, 2987, 15534, 2465, 13359, 269, 16731, 707, 1533, 9550, 5604, 3896, 547, 1265, 856, 952, 596, 666, 8917, 676, 13875, 269, 7476, 811, 1344, 454, 1103, 16512, 2038, 13359, 7389, 281, 966, 2456, 676, 1533, 454, 15919, 6381, 1118, 621, 2182, 610, 7543, 585, 596, 547, 8917, 593, 30760, 4303, 269, 1809, 707, 1533, 949, 1577, 596, 8917, 1282, 513, 11280, 2038, 13359, 1974, 269, 1411, 1810, 1405, 991, 606, 28195, 547, 8917, 2038, 269, 16731, 707, 1533, 9550, 5604, 3896, 547, 1265, 856, 2436, 789, 2709, 2038, 13359, 269, 7069, 30760, 8433, 454, 14197, 30760, 281, 8734, 476, 274, 267, 476, 1708, 271, 454, 21691, 1782, 3108, 593, 30760, 4303, 281, 966, 2456, 676, 1533, 15828, 665, 1275, 7069, 2717, 1782, 9255, 0, 290, 308, 6020, 302, 4785, 918, 10680, 281, 769, 11450, 609, 634, 22062, 566, 267, 1948, 307, 16781, 532, 6770, 596, 30985, 8866, 267, 513, 3126, 1141, 649, 2307, 4966, 547, 2626, 2055, 689, 3214, 563, 1103, 11450, 609, 634, 22062, 566, 267, 1948, 307, 16781, 532, 6770, 596, 30985, 8866, 267, 513, 3126, 1141, 649, 2307, 4966, 547, 2626, 2055, 689, 3214, 563, 1692, 729, 13004, 4362, 286, 5808, 1500, 909, 519, 2338, 543, 3652, 286, 1107, 645, 1014, 8619, 267, 2085, 476, 1321, 267, 5899, 987, 7615, 267, 17638, 454, 299, 25475, 11829, 10247, 267, 12314, 7548, 267, 2160, 540, 8828, 24368, 912, 29467, 941, 30762, 540, 6602, 540, 6128, 538, 1114, 4529, 693, 1114, 2798, 538, 942, 563, 763, 16380, 4769, 1406, 2731, 946, 7223, 519, 1259, 649, 798, 1631, 267, 855, 789, 941, 5863, 609, 9511, 269, 594, 993, 2386, 596, 723, 4862, 540, 19456, 23768, 267, 855, 798, 596, 917, 540, 519, 4807, 22301, 14523, 520, 807, 888, 9515, 729, 606, 5863, 4116, 543, 5856, 9952, 693, 1818, 2352, 2035, 2653, 547, 1174, 269, 10251, 267, 1352, 729, 7166, 585, 1200, 2093, 563, 763, 14564, 941, 1390, 8030, 855, 789, 1185, 513, 15265, 1297, 1062, 269, 898, 4769, 1406, 1256, 723, 4642, 563, 763, 1297, 1062, 1031, 538, 3504, 3127, 1185, 4642, 267, 855, 621, 729, 1634, 676, 824, 1360, 2025, 4529, 971, 607, 519, 2904, 753, 538, 6239, 3013, 543, 519, 20770, 2103, 630, 5228, 3504, 12925, 1916, 4517, 3504, 6259, 22697, 711, 1152, 6785, 827, 4642, 855, 849, 2731, 3262, 519, 2856, 540, 7223, 1310, 519, 476, 280, 628, 2540, 630, 1492, 2262, 2501, 689, 513, 1257, 676, 513, 4583, 22301, 1572, 620, 11860, 327, 8705, 714, 14741, 1916, 10144, 538, 519, 5664, 12698, 538, 2342, 2219, 8454, 941, 519, 23698, 13004, 12601, 2207, 2336, 3080, 476, 1556, 628, 10601, 31494, 27333, 1767, 281, 2048, 5475, 7836, 3275, 2324, 2182, 543, 4974, 267, 594, 6368, 9787, 539, 713, 3364, 1572, 8454, 256, 20371, 4517, 538, 519, 476, 1626, 628, 2540, 267, 1004, 2219, 2942, 2338, 941, 7168, 9409, 269, 1358, 1185, 824, 4408, 585, 891, 2338, 267, 971, 607, 2048, 11274, 6324, 685, 610, 2048, 3698, 624, 633, 17483, 2467, 616, 865, 1082, 1297, 1949, 2336, 763, 3283, 596, 917, 941, 2919, 936, 5553, 543, 649, 616, 1869, 1818, 909, 811, 1631, 269, 1809, 1454, 540, 938, 13004, 568, 1759, 593, 835, 1062, 1572, 2048, 19668, 476, 1015, 8730, 799, 1568, 593, 3270, 540, 835, 547, 476, 1015, 630, 7474, 4440, 814, 922, 5072, 538, 519, 1249, 602, 3425, 723, 476, 1015, 11263, 547, 1293, 593, 1916, 2005, 779, 849, 1572, 519, 8918, 1062, 563, 3719, 972, 616, 6266, 540, 824, 1949, 267, 971, 607, 3490, 1079, 630, 10193, 1572, 519, 9352, 1062, 1070, 610, 3490, 476, 1626, 630, 10193, 1572, 519, 15279, 1228, 31565, 1062, 1916, 2005, 4992, 7294, 855, 789, 2461, 1175, 1114, 2081, 540, 1418, 2358, 2338, 269, 10606, 723, 2141, 1044, 972, 267, 7996, 547, 581, 4362, 543, 865, 941, 1114, 2081, 540, 1418, 2358, 873, 3034, 269, 1677, 1224, 519, 1964, 540, 11829, 10247, 779, 2626, 267, 979, 547, 519, 6643, 2593, 454, 307, 3201, 298, 9215, 2475, 454, 15916, 267, 8049, 3214, 256, 5620, 596, 3893, 513, 2243, 596, 8910, 899, 606, 4274, 547, 2626, 286, 9105, 606, 2937, 547, 6494, 707, 2243, 4757, 11333, 2593, 269, 7490, 2995, 721, 707, 2012, 267, 2085, 543, 799, 2749, 596, 2661, 538, 269, 0, 301, 520, 1157, 781, 23452, 3778, 281, 634, 1546, 518, 6816, 3057, 3019, 532, 454, 26222, 5856, 543, 6085, 1807, 8834, 13642, 786, 581, 8678, 676, 2278, 667, 12447, 31762, 2714, 328, 607, 649, 1451, 827, 519, 21813, 532, 12075, 607, 789, 29846, 519, 2296, 12733, 269, 1284, 3580, 1865, 741, 10779, 2456, 267, 543, 875, 5126, 23125, 538, 519, 4655, 609, 3751, 17722, 543, 1010, 21847, 269, 1284, 3580, 849, 1445, 593, 519, 14844, 1157, 2146, 1282, 543, 1310, 519, 2112, 563, 291, 12447, 31762, 549, 26152, 568, 519, 2278, 540, 26726, 2637, 17462, 267, 513, 5063, 3370, 1353, 540, 519, 2797, 543, 2686, 4229, 3297, 519, 6803, 26349, 540, 7111, 4892, 689, 1715, 4789, 1282, 3751, 17722, 779, 2782, 543, 7766, 1296, 269, 589, 19622, 14012 ]

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

[ 267, 609, 4608, 1484, 539, 7916, 543, 7953, 269, 715, 617, 3429, 6920, 6876, 610, 1620, 563, 265, 2878, 21995, 1912, 29320, 4995, 6258, 2453, 899, 834, 14188, 596, 2437, 834, 2750, 322, 2224, 803, 2437, 543, 834, 4692, 594, 1205, 29389, 1452, 786, 5351, 538, 4948, 7391, 780, 3086, 267, 2132, 547, 707, 9715, 4483, 1957, 2439, 1262, 3721, 476, 274, 281, 27759, 2659, 3718, 10628, 4373, 17637, 622, 513, 2973, 267, 6366, 2627, 585, 2324, 269, 3550, 1434, 8654, 2175, 1384, 265, 2878, 16521, 513, 17183, 4995, 8564, 513, 3349, 267, 11380, 267, 610, 4831, 9008, 1863, 689, 804, 13616, 543, 6188, 15297, 269, 13068, 1022, 3688, 602, 1223, 15936, 609, 707, 960, 563, 265, 2878, 303, 3789, 23126, 1290, 3228, 2406, 4995, 5776, 610, 1694, 2282, 519, 29683, 267, 5329, 707, 1560, 20005, 543, 7059, 563, 265, 2878, 3849, 3286, 31786, 4995, 1403, 16280, 267, 4188, 22311, 610, 16841, 8279, 547, 22113, 707, 1858, 14961, 269, 7849, 1769, 568, 849, 11807, 267, 855, 581, 13533, 540, 1350, 732, 780, 1262, 3721, 476, 275, 281, 30047, 18734, 7433, 4373, 7476, 5432, 609, 7829, 519, 4483, 1957, 1384, 265, 2878, 7230, 913, 13268, 1645, 4995, 28392, 15237, 1055, 519, 5068, 28277, 610, 13472, 856, 519, 6656, 689, 922, 19492, 557, 563, 265, 2878, 295, 1245, 519, 7433, 22043, 569, 4995, 6182, 5684, 519, 1283, 6316, 1063, 14853, 543, 4994, 9416, 267, 4180, 11263, 1810, 1405, 5905, 519, 7792, 2427, 630, 17141, 22862, 1916, 265, 2878, 302, 686, 550, 519, 7433, 4995, 19024, 519, 6656, 865, 519, 7792, 2427, 8188, 20733, 780, 1262, 3721, 476, 276, 281, 4635, 18734, 7433, 630, 28959, 18734, 7151, 21143, 4131, 781, 6542, 875, 547, 4019, 3002, 4483, 5196, 5958, 1384, 265, 2878, 7093, 6768, 2659, 5071, 4995, 8073, 610, 1820, 707, 5551, 3239, 5196, 519, 4483, 1957, 267, 1739, 10672, 5528, 563, 265, 2878, 29493, 4934, 519, 12005, 4995, 2422, 23805, 547, 5402, 2759, 2059, 519, 8728, 540, 519, 9102, 1374, 267, 6028, 8766, 4430, 1957, 563, 265, 2878, 20278, 519, 28577, 4995, 20233, 1524, 519, 5958, 6221, 630, 339, 6879, 7398, 267, 547, 974, 9126, 267, 3092, 4700, 593, 513, 3002, 15033, 2627, 267, 5347, 543, 23743, 548, 6954, 563, 265, 2878, 7343, 569, 14333, 543, 16242, 4995, 9255, 519, 2759, 13050, 4483, 1957, 3068, 16365, 593, 519, 5958, 267, 26936, 621, 10502, 269, 11635, 610, 2046, 2687, 547, 1587, 4808, 267, 7311, 9793, 2604, 543, 2837, 1852, 780, 23558, 256, 1411, 4312, 6707, 8246, 4483, 1957, 780, 8855, 267, 2259, 2306, 3501, 269, 18461, 1863, 547, 4603, 609, 1114, 2010, 540, 4483, 4574, 543, 2553, 269, 5213, 1405, 19292, 547, 2307, 2055, 610, 3343, 5583, 689, 8284, 3425, 952, 2877, 780, 2026, 596, 3136, 3695, 938, 8748, 4541, 267, 3314, 891, 4909, 3741, 1384, 265, 21727, 1866, 262, 2123, 2230, 543, 28378, 454, 265, 4004, 6510, 5693, 543, 1135, 7019, 454, 265, 22737, 1565, 3255, 543, 3082, 547, 1007, 3871, 692, 5319, 2809, 707, 9035, 593, 3047, 267, 543, 6126, 13167, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 5850, 593, 834, 8196, 18734, 7433, 257, 538, 519, 2511, 540, 14392, 547, 606, 9813, 3957, 7585, 945, 1175, 15354, 593, 3047, 543, 814, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 782, 519, 2596, 1344, 827, 519, 2168, 543, 1480, 4205, 3238, 269, 1684, 711, 1289, 7585, 606, 9813, 269, 0, 4495, 2390, 513, 942, 267, 972, 729, 513, 2370, 7911, 3957, 15207, 945, 1185, 1945, 2027, 827, 1864, 910, 646, 729, 4535, 609, 513, 2189, 15694, 4806, 1572, 476, 2420, 336, 1556, 1546, 2280, 542, 15540, 630, 2420, 336, 1556, 9169, 1040, 4634, 1498, 621, 1500, 930, 1919, 9875, 585, 1864, 982, 824, 3214, 1010, 2085, 267, 15207, 1869, 6068, 4730, 543, 1565, 1007, 1919, 2439, 3080, 1554, 267, 1247, 789, 941, 7206, 5961, 1927, 267, 15207, 781, 3158, 6045, 875, 1004, 3006, 1589, 8335, 1317, 540, 1018, 781, 3330, 873, 267, 1175, 899, 875, 3025, 814, 1114, 4778, 789, 4782, 950, 7206, 269, 2701, 5143, 15207, 602, 1256, 1498, 649, 1522, 1413, 2147, 3544, 267, 938, 12058, 960, 8335, 1759, 593, 938, 6090, 269, 2334, 781, 1946, 930, 2828, 949, 1265, 1978, 3756, 610, 2984, 4443, 547, 1174, 982, 1866, 780, 300, 558, 4682, 593, 547, 2161, 602, 3744, 1353, 891, 3604, 865, 789, 666, 948, 1118, 1272, 1732, 585, 782, 1453, 269, 1358, 1289, 4974, 875, 938, 8186, 960, 1412, 20329, 1108, 9538, 6884, 267, 952, 2576, 9060, 621, 2182, 547, 1921, 609, 1866, 1813, 547, 741, 2189, 2634, 3270, 267, 789, 1522, 991, 3063, 1489, 1107, 713, 568, 1634, 607, 1412, 20329, 31752, 8339, 1809, 1810, 1405, 5855, 267, 1352, 15260, 3293, 15207, 282, 2348, 7965, 3085, 1405, 1611, 596, 5749, 1405, 3843, 707, 1655, 610, 602, 596, 4465, 1405, 8011, 780, 20755, 3240, 4280, 267, 834, 1432, 798, 596, 1611, 676, 8220, 609, 1866, 286, 6145, 4687, 1250, 9162, 8119, 3571, 3158, 21330, 543, 1767, 9811, 267, 855, 849, 6158, 267, 6947, 267, 543, 1620, 4606, 1932, 269, 1280, 1383, 267, 950, 646, 4249, 609, 1010, 3659, 25381, 267, 711, 6005, 952, 25381, 5654, 8909, 610, 6126, 2337, 1628, 6793, 4296, 1063, 873, 780, 9515, 1287, 3838, 602, 930, 1004, 609, 476, 2420, 336, 1556, 9169, 949, 3068, 2591, 538, 2792, 543, 1514, 5872, 267, 23401, 1018, 7189, 1289, 1412, 8505, 1143, 25400, 13081, 262, 630, 32359, 1040, 898, 1797, 1346, 2828, 1522, 2154, 811, 9639, 543, 5583, 547, 1404, 610, 2911, 1927, 269, 1656, 3314, 267, 1169, 1126, 16137, 543, 9428, 693, 741, 1378, 10605, 267, 2436, 789, 723, 20284, 610, 711, 780, 2414, 5000, 4514, 3206, 267, 16474, 4280, 15207, 875, 646, 1131, 1745, 952, 835, 1554, 267, 646, 7948, 1405, 2671, 1010, 5172, 11442, 1286, 12347, 609, 1010, 11078, 21667, 269, 15154, 827, 621, 5402, 267, 15207, 7691, 602, 646, 9327, 1405, 2972, 621, 1454, 2901, 269, 1924, 267, 8026, 11587, 543, 6568, 2509, 1866, 262, 5380, 2306, 721, 18668, 543, 13976, 2178, 3347, 780, 7661, 267, 15207, 4121, 602, 4352, 930, 3214, 609, 476, 2420, 336, 1556, 9169, 1522, 1332, 909, 547, 1995, 2790, 1072, 2175, 899, 18624, 267, 1082, 5363, 2645, 543, 11257, 2291, 547, 2327, 789, 2661, 16180, 2729, 269, 1635, 14637, 17519, 12271, 543, 8049, 8186, 267, 15207, 543, 1010, 9905, 786, 1711, 4190, 8823, 543, 3565, 9797, 547, 2486, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 12892, 17133, 538, 2043, 609, 476, 2420, 336, 1556, 269, 273, 32280, 6794, 543, 922, 3095, 609, 2618, 31752, 543, 1514, 4093, 281, 513, 2689, 454, 289, 10157, 24741, 4320, 476, 2641, 267, 9137, 1297, 281, 476, 9873, 630, 1708, 272, 994, 763, 476, 2420, 336, 1556, 269, 273, 32280, 6794, 630, 2420, 336, 1556, 9169, 264, 568, 513, 4719, 6794, 602, 2164, 538, 513, 3810, 4756, 9043, 540, 4299, 2043, 540, 799, 23043, 538, 519, 1514, 6389, 543, 2799, 2618, 31752, 616, 519, 1034, 7986, 269, 25408, 267, 476, 1839, 1700, 1789, 260, 540, 4299, 2043, 5555, 1020, 18624, 270, 17595, 2670, 267, 19753, 19397, 7606, 609, 519, 6794, 547, 2799, 1981, 585, 713, 4524, 269, 5221, 1514, 17133, 568, 2808, 547, 896, 12340, 1514, 2623, 543, 547, 581, 1644, 547, 2618, 31752, 267, 713, 9836, 2689, 11567, 1514, 17133, 538, 2043, 609, 476, 2420, 336, 1556, 9169, 543, 8947, 4080, 6402, 2066, 922, 11890, 609, 2618, 31752, 543, 1514, 4093, 269, 901, 666, 1683, 519, 4493, 585, 513, 6251, 1620, 540, 519, 2619, 689, 1981, 547, 4524, 543, 786, 1217, 593, 519, 1808, 11890, 602, 666, 581, 6098, 609, 2061, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25787, 1315, 5369, 31752, 1315, 20150, 25400, 15136, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 20821, 3057, 17144, 3331, 479, 978, 7062, 5395, 3757, 334, 267, 513, 10196, 945, 2090, 1945, 1572, 834, 1260, 14658, 640, 1701, 1411, 1522, 1589, 602, 4992, 7168, 7294, 2907, 267, 855, 1810, 1405, 5855, 256, 1284, 2811, 2469, 547, 2736, 621, 1524, 1927, 543, 2263, 875, 5863, 713, 2361, 666, 581, 780, 5331, 596, 723, 513, 2462, 4216, 2407, 540, 27371, 267, 782, 1114, 4778, 543, 7306, 269, 3767, 267, 952, 596, 1175, 29746, 873, 856, 593, 519, 6989, 267, 789, 3513, 4440, 5066, 1472, 543, 3575, 909, 267, 1318, 286, 1809, 1018, 4523, 950, 596, 1376, 4946, 3652, 286, 1548, 952, 596, 1152, 1577, 1978, 11954, 27371, 5905, 1142, 824, 610, 1711, 10092, 585, 873, 547, 1246, 286, 22582, 267, 1945, 2241, 899, 27371, 3587, 1454, 811, 4277, 256, 901, 568, 1018, 4974, 6988, 568, 782, 827, 1107, 3168, 693, 875, 1367, 2694, 2097, 1927, 547, 1106, 6946, 3270, 543, 5615, 780, 11321, 17144, 3331, 479, 978, 7062, 5395, 3757, 334, 568, 606, 4274, 538, 834, 4467, 14658, 640, 3163, 2437, 799, 1797, 1352, 22939, 1200, 942, 3843, 547, 1174, 891, 5686, 540, 1949, 269, 2701, 1568, 609, 21575, 267, 22697, 267, 2780, 3744, 267, 543, 1256, 27563, 1317, 1620, 6988, 1419, 3340, 3403, 689, 1082, 4610, 256, 1635, 1210, 2979, 543, 5904, 267, 3220, 269, 5395, 3757, 334, 5932, 3631, 602, 948, 721, 3589, 875, 1919, 786, 13789, 1759, 593, 741, 4205, 780, 4131, 781, 1413, 693, 1776, 1383, 269, 6056, 827, 513, 26600, 540, 5017, 10760, 1927, 538, 519, 6607, 269, 3962, 6177, 5205, 922, 1378, 2619, 267, 855, 11214, 789, 1847, 607, 835, 1895, 1510, 1835, 4770, 883, 1142, 824, 256, 1215, 798, 789, 798, 602, 286, 12207, 899, 3220, 269, 5395, 3757, 334, 946, 6988, 2257, 547, 4137, 856, 519, 3652, 602, 1450, 971, 4190, 11558, 269, 1358, 1628, 3631, 1210, 6310, 4834, 543, 13502, 593, 5904, 267, 3850, 873, 547, 7747, 543, 5659, 519, 2623, 540, 891, 4241, 1949, 780, 7804, 269, 5395, 3757, 334, 849, 14560, 4687, 1200, 6612, 585, 6988, 2257, 676, 4543, 1866, 1451, 827, 621, 269, 2701, 5713, 593, 21107, 12545, 585, 3621, 13746, 543, 8309, 547, 5121, 6131, 547, 4974, 1950, 1949, 269, 3414, 1200, 3646, 267, 811, 1004, 616, 12423, 519, 5898, 543, 2956, 540, 19586, 532, 2470, 781, 13655, 998, 6988, 2257, 780, 3086, 602, 649, 4312, 4121, 513, 3787, 827, 12756, 3331, 479, 978, 7062, 5395, 3757, 334, 543, 6988, 2257, 267, 1934, 616, 930, 1187, 2238, 596, 666, 2119, 693, 1753, 547, 2417, 2263, 713, 9159, 1158, 1384, 272, 269, 20283, 707, 2828, 543, 1920, 2818, 269, 8073, 707, 1378, 18899, 2196, 1062, 1210, 13740, 267, 15155, 1186, 267, 543, 9465, 269, 15331, 609, 1585, 19383, 543, 1865, 519, 6932, 3270, 543, 5615, 563, 273, 269, 27297, 2831, 538, 5163, 267, 2901, 538, 1268, 610, 3842, 7044, 2228, 269, 8347, 547, 2697, 1022, 3652, 12044, 741, 5322, 543, 4205, 1369, 2516, 269, 9181, 2009, 4128, 3297, 741, 4767, 5615, 563, 274, 269, 5071, 707, 1378, 4604, 3014, 5473, 2789, 5716, 15025, 2687, 547, 1808, 3652, 269, 7591, 11687, 519, 3014, 543, 2992, 2390, 519, 28928, 3601, 16109, 689, 1346, 4205, 563, 275, 269, 2422, 2241, 5752, 2645, 267, 899, 2480, 337, 2255, 610, 13332, 569, 267, 547, 18082, 2596, 8665, 2861, 3631, 267, 11287, 519, 4611, 7104, 5615, 269, 9523, 707, 13144, 609, 15032, 610, 2228, 2950, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2975, 3918, 288, 3194, 7905, 540, 29203, 3163, 267, 10713, 18945, 632, 30209, 454, 300, 269, 3331, 479, 978, 7062, 5395, 3757, 334, 568, 606, 15096, 3918, 288, 3194, 7905, 693, 519, 1546, 696, 269, 540, 9473, 10234, 17460, 8212, 540, 519, 2160, 540, 30209, 630, 18510, 264, 538, 8050, 267, 1141, 1352, 1463, 338, 519, 29570, 29203, 6997, 267, 543, 6585, 606, 13393, 607, 606, 24498, 20513, 693, 519, 29203, 3163, 16735, 11483, 295, 21499, 538, 15212, 269, 631, 269, 3331, 479, 978, 7062, 12851, 547, 519, 32000, 8274, 540, 519, 589, 4916, 4760, 8447, 5623, 3194, 267, 543, 1352, 568, 513, 15713, 4759, 540, 13216, 18945, 267, 519, 18280, 534, 3060, 585, 519, 1353, 540 ]

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

[ 12838, 707, 8265, 1397, 2407, 540, 1035, 13681, 18267, 267, 2575, 267, 543, 9159, 2984, 256, 3143, 19048, 827, 23892, 12543, 610, 8840, 1919, 693, 1753, 269, 1215, 3579, 568, 602, 2496, 273, 269, 2878, 11742, 4995, 2060, 6131, 942, 267, 5159, 666, 1445, 9003, 593, 3384, 741, 20100, 269, 1703, 4465, 1405, 581, 19240, 689, 6780, 630, 7717, 787, 14386, 610, 26050, 1317, 789, 1205, 547, 23365, 2933, 4628, 538, 741, 3860, 1184, 269, 901, 1797, 3108, 2390, 3108, 6170, 23730, 267, 4152, 267, 17528, 267, 1565, 267, 3395, 267, 543, 6368, 8011, 532, 2439, 274, 269, 2878, 307, 8962, 1299, 31876, 4995, 6056, 540, 713, 607, 2348, 1569, 547, 4274, 948, 6730, 606, 6909, 11442, 4558, 256, 22544, 3937, 2306, 13167, 5036, 267, 605, 1186, 267, 24853, 267, 543, 824, 3334, 4443, 543, 10930, 269, 9578, 267, 6158, 547, 4648, 3947, 5159, 3407, 4030, 883, 5355, 2553, 267, 20408, 2591, 267, 543, 9363, 6273, 2059, 519, 1259, 780, 3383, 1631, 596, 917, 1018, 4422, 883, 2870, 20605, 12644, 269, 1677, 1294, 891, 2035, 538, 2962, 267, 2638, 856, 2199, 14364, 512, 4981, 525, 267, 2146, 7740, 267, 610, 1256, 13334, 9055, 10023, 8265, 22407, 269, 5808, 6487, 32503, 949, 1265, 6667, 585, 707, 1378, 2104, 2504, 256, 1656, 3314, 267, 1169, 1390, 4062, 540, 1148, 6238, 12341, 282, 6148, 835, 1554, 16523, 786, 1932, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 9209, 626, 4886, 19510, 476, 1708, 273, 454, 296, 5495, 616, 1930, 782, 1032, 5180, 547, 1022, 5159, 267, 14540, 610, 1053, 945, 1131, 899, 1489, 538, 3478, 513, 1788, 1055, 519, 2666, 563, 4306, 14011, 281, 6611, 1923, 5384, 1923, 13088, 1923, 31876, 454, 4306, 14011, 568, 594, 5495, 779, 7499, 1646, 10872, 585, 2043, 610, 2516, 1316, 2358, 1022, 9015, 945, 616, 5461, 538, 594, 5495, 779, 1935, 547, 1818, 269, 898, 568, 2966, 547, 948, 29311, 3785, 602, 616, 538, 1646, 676, 3246, 1489, 538, 519, 1106, 540, 18638, 2230, 267, 594, 5495, 5234, 942, 267, 13186, 2645, 543, 5796, 689, 594, 5495, 6575, 4648, 610, 513, 4999, 540, 782, 2185, 563, 296, 5495, 779, 1935, 568, 6427, 633, 267, 19511, 543, 10058, 563, 21980, 3894, 585, 23078, 585, 594, 5495, 779, 6611, 5384, 13088, 31876, 29013, 10872, 454, 1432, 568, 594, 5495, 888, 268, 594, 5495, 779, 4295, 3483, 568, 547, 1118, 1007, 267, 9670, 267, 3312, 24299, 3695, 519, 10167, 1063, 1148, 267, 4702, 267, 2773, 543, 2029, 563, 268, 594, 5495, 779, 960, 568, 8097, 538, 1523, 543, 1543, 543, 1419, 4843, 538, 1007, 543, 8966, 2081, 585, 9458, 547, 1995, 563, 268, 1284, 2832, 547, 556, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 26353, 1315, 13437, 1315, 9335, 13437, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 2817, 14740, 8889, 910, 3487, 540, 834, 24292, 8889, 257, 538, 11572, 3163, 692, 8893, 281, 1548, 6496, 898, 6399, 1677, 2142, 3487, 2986, 589, 13474, 286, 4197, 2817, 14740, 24727, 692, 7072, 912, 5331, 596, 2811, 4730, 513, 3014, 1141, 3025, 4991, 547, 3442, 741, 1378, 2319, 1759, 593, 1018, 789, 899, 1655, 827, 2933, 1107, 12348, 267, 5172, 4778, 267, 1256, 2706, 335, 10183, 256, 16319, 1187, 267, 1318, 286, 1809, 950, 621, 2501, 547, 2477, 267, 1919, 666, 1205, 513, 3787, 811, 7294, 1317, 1169, 2197, 814, 922, 2189, 1305, 540, 2418, 267, 5389, 267, 9821, 267, 543, 4978, 602, 948, 5581, 945, 12851, 972, 269, 901, 1523, 568, 1572, 3084, 3961, 269, 4653, 267, 1577, 781, 1451, 827, 4507, 2813, 1472, 891, 9163, 267, 1634, 607, 2817, 14740, 24727, 780, 4089, 476, 272, 281, 20223, 3776, 16301, 692, 265, 2878, 290, 11857, 4995, 6056, 540, 2528, 607, 513, 2462, 17339, 1494, 4904, 609, 782, 12204, 540, 17705, 5820, 971, 607, 1426, 267, 2575, 267, 1148, 267, 1893, 267, 4984, 267, 543, 1686, 269, 3962, 1920, 8591, 1945, 2027, 547, 713, 2686, 12403, 267, 855, 865, 798, 16973, 267, 4872, 267, 2829, 267, 543, 3003, 2910, 7419, 307, 6020, 2464, 2336, 265, 2878, 15275, 640, 4995, 2659, 3961, 568, 1500, 909, 540, 1082, 1114, 2694, 267, 1519, 707, 7209, 7592, 267, 5920, 267, 4282, 267, 1983, 267, 2833, 267, 543, 2418, 269, 1879, 1004, 2911, 827, 3084, 3961, 267, 789, 1611, 1346, 3838, 4162, 602, 1711, 513, 2631, 540, 10362, 1369, 513, 1880, 2197, 780, 12244, 281, 5620, 1053, 2328, 1524, 2947, 1913, 610, 2453, 602, 4766, 873, 13948, 269, 3973, 2307, 873, 547, 1589, 540, 1614, 3344, 602, 1921, 873, 547, 741, 3885, 543, 1776, 1614, 602, 17063, 873, 547, 741, 2146, 610, 2749, 269, 7053, 267, 1865, 1927, 875, 930, 540, 891, 2123, 543, 2199, 6934, 832, 1522, 849, 4019, 547, 1373, 851, 540, 741, 2197, 780, 4089, 476, 273, 281, 8490, 2349, 4169, 540, 2817, 14740, 692, 2467, 616, 1896, 2188, 7700, 547, 2679, 513, 2178, 3084, 3961, 1384, 265, 32655, 3778, 281, 4658, 1419, 1745, 4448, 998, 3140, 2621, 267, 2984, 267, 543, 5515, 602, 1831, 6698, 540, 9322, 269, 1280, 1383, 267, 4892, 8661, 14412, 4303, 1169, 1032, 547, 3314, 741, 2062, 15289, 338, 8165, 585, 5191, 1996, 3703, 4341, 563, 265, 5871, 18880, 281, 3509, 6082, 26595, 3297, 4295, 3741, 899, 9111, 267, 7862, 267, 5126, 267, 543, 2463, 585, 1480, 2924, 269, 1452, 16431, 3337, 4031, 543, 5238, 1247, 5807, 513, 7104, 6891, 1851, 4961, 563, 265, 13507, 545, 15689, 281, 4469, 4711, 267, 900, 21793, 267, 8964, 267, 543, 21056, 4196, 607, 3308, 23106, 540, 938, 4276, 547, 513, 4182, 269, 1358, 18427, 4664, 13615, 547, 8823, 267, 11348, 267, 543, 17604, 780, 30206, 281, 9105, 1053, 952, 789, 917, 1022, 4583, 6698, 8204, 741, 2197, 269, 11559, 873, 547, 2263, 1946, 1978, 2592, 941, 6074, 543, 875, 789, 3565, 547, 5935, 3084, 3961, 780, 4089, 476, 274, 281, 27588, 2817, 14740, 24727, 692, 294, 4261, 906, 3006, 1020, 4013, 4808, 1765, 21406, 2817, 14740, 24727, 23121, 7794, 519, 6125, 1063, 4961, 543, 741, 22657, 269, 6270, 4507, 949, 1445, 593, 5009, 2069, 3292, 267, 5885, 2686, 15976, 267, 8716, 1893, 1565, 267, 8497, 8978, 4609, 267, 610, 7616, 1857, 6575, 7341, 269, 1635, 3257, 865, 267, 14519, 2832, 547, 6536, 10103, 267, 13784, 267, 543, 18523, 6278, 780, 12244, 281, 19147, 1053, 883, 1507, 2516, 543, 3651, 1142, 835, 513, 14070, 2197, 269, 4256, 4305, 786, 581, 2870, 513, 9910, 1790, 32123, 11556, 6322, 693, 7393, 741, 16012, 4182, 781, 2631, 540, 9322, 543, 11348, 269, 30850, 267, 16436, 13538, 547, 1459, 741, 2093, 267, 7713, 875, 891, 3800, 1223, 9797, 1764, 741, 16545, 2551, 780, 6962, 912, 8139, 2817, 14740, 24727, 2337, 721, 5660, 519, 1950, 2081, 6608, 2119, 547, 3142, 1004, 6251, 1927, 896, 513, 1455, 7333, 1676, 269, 3807, 899, 1367, 9163, 11457, 2429, 1272, 267, 865, 1932, 1281, 519, 1915, 540, 513, 4182, 1689, 936, 942, 269, 16871, 4763, 543, 14637, 10014, 5849, 602, 16764, 7959, 10950, 693, 519, 3349, 1107, 1100, 2339, 1018, 5820, 789, 3142, 2059, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 2419, 4474, 2804, 543, 3656, 6381, 7258, 19493, 16839, 616, 13346, 519, 6214, 543, 12583, 540, 10665, 2221, 267, 543, 18534, 12686, 519, 15834, 2361, 540, 8473, 2090, 563, 2690, 713, 19336, 593, 8672, 8470, 267, 6592, 593, 4989, 476, 736, 267, 476, 1708, 274, 267, 649, 4280, 513, 1895, 540, 17459, 20588, 12854, 10457, 547, 2671, 741, 5571, 1382, 593, 10665, 543, 9194, 269, 634, 8470, 729, 15645, 730, 676, 8341, 928, 2349, 334, 655, 571, 611, 267, 4147, 540, 476, 4198, 272, 7905, 267, 7338, 12567, 4446, 5886, 17348, 540, 8225, 5525, 1299, 10615, 540, 519, 20588, 3955, 13694, 24779, 19541, 630, 289, 8379, 296, 1070, 799, 1071, 17898, 29107, 519, 2680, 563, 26469, 710, 6519, 631, 2465, 639, 523, 568, 513, 12854, 11134, 538, 808, 9766, 1440, 28619, 543, 4317, 8889, 269, 4173, 1382, 4690, 1331, 1876, 543, 1514, 5322, 267, 11776, 1876, 543, 3609, 267, 519, 3656, 3924, 267, 543, 8473, 3069, 269, 4173, 12031, 7710, 2436, 543, 875, 27192, 543, 3656, 15156, 945, 723, 6039, 28357, 32339, 693, 519, 772, 2529, 269, 8473, 543, 538, 30969, 2097, 547, 1294, 2933, 607, 851, 540, 513, 1514, 3350, 269, 1306, 851, 540, 713, 1788, 267, 1352, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 13233, 14740, 8889, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 5398, 8889, 1315, 8836, 8889, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 938, 3408, 540, 19664, 545, 7931, 1734, 256, 5620, 596, 2479, 16545, 1018, 621, 1131, 581, 899, 547, 2887, 538, 2648, 609, 606, 21425, 286, 2107, 6148, 1256, 9289, 952, 971, 7919, 2291, 693, 782, 286, 4270, 267, 1577, 781, 4685, 883, 713, 4241, 24848, 516, 540, 15832, 5708, 1927, 2439, 5575, 267, 1577, 781, 5581, 1018, 649, 1611, 676, 834, 13370, 545, 32741, 1701, 1452, 616, 2984, 1141, 3197, 1995, 11509, 3347, 609, 23109, 1107, 31676, 7068, 1419, 13269, 607, 2348, 12209, 267, 18220, 532, 11587, 267, 8296, 267, 543, 10143, 5583, 269, 3767, 267, 3314, 602, 891, 8941, 616, 1568, 540, 6986, 9345, 2094, 972, 3884, 1405, 1022, 3621, 6169, 30260, 519, 6228, 540, 23109, 269, 1809, 602, 3085, 1405, 3247, 721, 689, 11981, 519, 26497, 540, 2542, 827, 873, 2439, 5331, 5870, 707, 9997, 22940, 267, 855, 789, 5749, 1405, 1480, 910, 789, 723, 905, 9312, 12209, 267, 32689, 1769, 4478, 873, 267, 543, 3717, 28663, 2943, 1379, 2685, 269, 2334, 781, 4010, 1018, 4523, 538, 1082, 21425, 545, 15832, 9089, 256, 3776, 23233, 6330, 998, 2591, 899, 5329, 741, 2078, 5728, 689, 2828, 543, 1920, 267, 1565, 1007, 2081, 540, 2792, 267, 610, 1620, 1142, 824, 781, 1114, 10600, 780, 2690, 1383, 267, 2015, 519, 2442, 3126, 834, 293, 718, 523, 257, 676, 19846, 333, 25562, 269, 634, 5869, 710, 13198, 576, 12313, 9060, 9887, 6537, 2509, 12253, 717, 3419, 9461, 267, 945, 7140, 856, 547, 581, 513, 15468, 21425, 269, 10801, 519, 3126, 267, 1352, 16137, 827, 1010, 2250, 1247, 7231, 609, 1200, 4606, 543, 3843, 547, 2149, 1864, 689, 5906, 10779, 2456, 780, 5194, 9159, 1224, 568, 834, 295, 2313, 267, 670, 2313, 257, 676, 2142, 17433, 23575, 6312, 4459, 269, 7439, 320, 27578, 3587, 3238, 609, 623, 2255, 595, 760, 6929, 334, 267, 7247, 1352, 2663, 25395, 568, 513, 13605, 327, 559, 574, 267, 3368, 25993, 543, 3368, 268, 13370, 269, 4256, 6125, 2620, 839, 5103, 3875, 9465, 16207, 538, 741, 2619, 1813, 547, 623, 2255, 781, 12357, 4282, 780, 3383, 1946, 798, 1004, 2972, 2542, 827, 21425, 545, 32741, 865, 1454, 286, 12344, 621, 22587, 547, 938, 2631, 540, 4898, 543, 7279, 827, 1919, 3564, 938, 4948, 2729, 269, 9320, 621, 2636, 721, 547, 2263, 4798, 899, 5132, 267, 22038, 267, 15093, 267, 543, 25863, 1369, 519, 2796, 540, 513, 2295, 342, 9879, 2648, 1650, 269, 21894, 519, 2601, 267, 835, 3364, 3788, 2312, 281, 21425, 545, 32741, 2709, 513, 17175, 9101, 883, 513, 7706, 4904, 609, 552, 1492, 9418, 5898, 543, 13730, 4296, 780, 3086, 602, 596, 917, 811, 827, 21425, 545, 32741, 267, 594, 5000, 596, 547, 4584, 909, 835, 540, 891, 2835, 610, 3406, 585, 1866, 2228, 269, 8414, 2542, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23895 ]

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

[ 595, 7572, 6511, 790, 14339, 338, 269, 594, 1109, 18478, 513, 1906, 862, 1115, 593, 1200, 7044, 267, 543, 786, 1118, 811, 607, 942, 14998, 269, 4173, 2856, 568, 602, 596, 666, 946, 1018, 596, 723, 547, 4001, 2979, 543, 594, 1589, 851, 540, 519, 2601, 1352, 2306, 1200, 642, 1749, 568, 547, 1397, 596, 602, 596, 1109, 290, 3198, 1109, 974, 778, 707, 3214, 2979, 630, 296, 2898, 27329, 569, 3858, 264, 1862, 810, 3247, 1818, 2300, 4926, 543, 1109, 1326, 3323, 269, 1403, 596, 1589, 596, 666, 1405, 6488, 18200, 27255, 4569, 7161, 543, 596, 2907, 723, 595, 7572, 6511, 790, 14339, 338, 1287, 946, 1346, 269, 16828, 596, 786, 4137, 856, 596, 666, 1405, 6488, 1109, 27237, 1109, 1729, 946, 18200, 27255, 4569, 7161, 269, 1809, 594, 6415, 21678, 780, 306, 2432, 1390, 267, 855, 1018, 798, 594, 798, 2496, 1607, 729, 2141, 519, 17680, 701, 609, 1004, 538, 519, 476, 3445, 781, 950, 782, 649, 1185, 729, 513, 1906, 966, 9391, 7148, 525, 281, 789, 2877, 811, 2866, 543, 4769, 1405, 917, 1018, 547, 798, 543, 4769, 1405, 917, 875, 547, 1205, 3323, 269, 634, 1448, 540, 713, 20089, 568, 547, 4894, 707, 2300, 4926, 543, 1205, 596, 3450, 707, 3214, 2979, 269, 808, 19851, 717, 4953, 5254, 11286, 3633, 780, 8489, 286, 7102, 3602, 269, 1548, 798, 596, 798, 1101, 286, 21894, 596, 1616, 1862, 3286, 607, 1279, 607, 789, 666, 1293, 547, 8370, 5431, 513, 13551, 543, 2995, 952, 1945, 568, 1482, 610, 1114, 269, 1403, 789, 666, 1405, 1293, 547, 8370, 594, 723, 3817, 585, 602, 1932, 1862, 19668, 476, 1015, 7161, 1118, 621, 2653, 543, 1187, 269, 9894, 594, 2446, 950, 596, 946, 3490, 4557, 7161, 596, 8850, 1039, 606, 3693, 540, 1187, 883, 519, 3992, 286, 1411, 798, 780, 2252, 602, 3884, 1405, 25685, 585, 596, 267, 594, 723, 22198, 6548, 713, 3896, 883, 13838, 269, 1109, 634, 13838, 2154, 18538, 269, 7490, 1745, 1863, 547, 1821, 5573, 689, 519, 1931, 594, 1459, 873, 538, 780, 2252, 596, 616, 3168, 585, 3490, 476, 1015, 7161, 596, 666, 1205, 873, 1934, 543, 609, 803, 596, 1205, 513, 1780, 1602, 4135, 799, 12374, 596, 1569, 547, 631, 3198, 312, 3108, 540, 642, 1749, 543, 6266, 540, 7300, 781, 547, 948, 596, 1118, 519, 1655, 946, 540, 707, 7161, 269, 1703, 616, 1631, 338, 7366, 540, 3108, 540, 7044, 543, 2542, 585, 596, 547, 979, 998, 602, 616, 589, 7034, 5357, 7473, 5085, 312, 17676, 269, 3502, 1863, 952, 596, 2285, 707, 4757, 543, 6049, 1297, 267, 711, 1863, 609, 513, 6718, 855, 1175, 10750, 17676, 780, 2691, 596, 979, 998, 513, 2603, 540, 602, 8946, 2894, 596, 1522, 1616, 547, 1205, 513, 1780, 1636, 269, 1703, 568, 1256, 811, 8631, 3297, 519, 2628, 6821, 269, 901, 3896, 568, 2966, 547, 2285, 596, 962, 292, 12678, 540, 1543, 585, 707, 18954, 269, 1411, 5749, 1405, 2469, 547, 1205, 998, 621, 538, 513, 15964, 610, 513, 4832, 269, 1411, 666, 849, 946, 621, 547, 948, 596, 2491, 1808, 3584, 780, 2080, 568, 513, 1433, 594, 5206, 602, 12857, 1896, 2035, 547, 1762, 1453, 596, 666, 1524, 4452, 621, 609, 707, 10957, 269, 853, 4428, 4991, 3773, 547, 519, 10957, 6870, 3817, 782, 519, 942, 543, 594, 993, 5143, 621, 3217, 513, 1906, 3933, 2195, 547, 1205, 998, 621, 782, 952, 596, 6108, 513, 2603, 540, 942, 693, 621, 269, 645, 16636, 8384, 568, 711, 5227, 269, 589, 2370, 3787, 1142, 3018, 269, 901, 568, 519, 5227, 1259, 543, 594, 3810, 4363, 596, 723, 707, 7161, 856, 543, 1404, 2059, 607, 596, 4585, 7044, 269, 3807, 8384, 4465, 1405, 2759, 621, 281, 596, 991, 547, 581, 3946, 593, 780, 296, 666, 1405, 2566, 713, 2614, 269, 630, 10214, 1498, 594, 12050, 539, 621, 543, 2322, 621, 538, 2699, 4700, 3683, 519, 1296, 543, 998, 1250, 12599, 594, 1336, 602, 2348, 707, 3946, 593, 519, 3490, 476, 1015, 7161, 1500, 782, 519, 3017, 1063, 513, 15624, 602, 476, 1911, 260, 3893, 621, 689, 6264, 2742, 547, 519, 3214, 543, 513, 15624, 602, 4769, 1405, 269, 1403, 789, 3893, 621, 594, 1500, 6455, 952, 789, 4769, 1405, 1205, 621, 594, 4769, 1405, 1118, 6455, 269, 1924, 713, 1620, 729, 17033, 31544, 780, 2252, 596, 1589, 602, 596, 666, 1451, 2979, 1510, 11298, 5058, 2979, 281, 596, 2811, 2469, 547, 723, 513, 1360, 3983, 942, 630, 309, 6630, 1040, 3807, 8384, 519, 642, 1749, 3884, 1405, 2614, 780, 2080, 568, 1250, 962, 19834, 8756, 269, 4427, 18285, 269, 1411, 786, 581, 711, 1881, 950, 594, 2322, 1007, 5398, 7044, 909, 780, 7883, 1753, 689, 1109, 26015, 14210, 2349, 4169, 1109, 16032, 2422, 780, 23763, 547, 1294, 811, 1863, 3817, 1299, 4245, 1299, 824, 1863, 8631, 593, 713, 3135, 2496, 2080, 781, 3733, 4793, 516, 517, 1384, 13706, 513, 13362, 513, 3923, 269, 1109, 901, 786, 849, 1450, 803, 547, 15321, 1250, 942, 780, 10059, 2517, 4178, 4877, 11128, 517, 2593, 14727, 4319, 2023, 305, 600, 821, 692, 9616, 281, 689, 942, 547, 942, 519, 18538, 1689, 269, 15439, 552, 17733, 803, 585, 513, 1007, 835, 610, 513, 1007, 1780, 1636, 607, 519, 2013, 949, 581, 269, 16316, 10596, 616, 1434, 585, 835, 1032, 267, 10715, 10596, 616, 1434, 585, 607, 1279, 607, 519, 3135, 3788, 909, 267, 630, 338, 924, 814, 1044, 909, 585, 5216, 1296, 1631, 1040, 1109, 2353, 2582, 2985, 18538, 723, 10715, 25430, 780, 9616, 281, 4107, 18200, 27255, 8605, 18103, 1359, 1809, 27971, 5620, 2142, 523, 3816, 3437, 9603, 1677, 1744, 6235, 270, 1103, 1203, 800, 12983, 269, 13555, 585, 19280, 1344, 543, 1587, 8244, 780, 23763, 547, 1294, 811, 1863, 3817, 1299, 4245, 1299, 824, 1863, 8631, 593, 713, 3135, 2496, 2080, 781, 3733, 4793, 516, 517, 1384, 13706, 513, 13362, 513, 3923, 269, 1109, 901, 786, 849, 1450, 803, 547, 15321, 1250, 942, 780, 10059, 2517, 4178, 4877, 11128, 517, 2593, 14727, 4319, 2023, 305, 600, 821, 692, 301, 11246, 256, 10426, 6919, 723, 1044, 602, 556, 6896, 883, 13838, 269, 623, 3008, 14684, 16704, 5442, 23859, 7602, 494, 8437, 547, 1265, 856, 811, 780, 2704, 2819, 723, 10426, 6919, 855, 789, 1810, 1405, 960, 15042, 286, 12231, 519, 2552, 9711, 9184, 543, 4757, 803, 693, 575, 21166, 585, 519, 1007, 3283, 780, 27879, 6919, 616, 1175, 827, 547, 1689, 269, 1358, 10093, 1405, 4957, 2094, 2063, 5988, 780, 3719, 2023, 4947, 4166, 1862, 9288, 656, 830, 2638, 856, 519, 19549, 540, 5147, 9042, 780, 10144, 616, 28280, 663, 27086, 950, 789, 1294, 875, 1454, 789, 1205, 585, 513, 10957, 269, 0, 258, 476, 277, 269, 1015, 281, 9351, 540, 590, 26662, 543, 21540, 906, 692, 11377, 14050, 3189, 11355, 338, 22042, 272, 27037, 13569, 564, 2715, 1422, 27771, 5882, 1422, 337, 12915, 17369, 3019, 1575, 348, 11513, 10400, 346, 258, 272, 3686, 476, 6525, 6695, 14050, 3189, 557, 7251, 22042, 272, 27037, 13569, 564, 346, 10559, 256, 10559, 256, 315, 337, 12915, 17369, 3019, 1575, 7346, 341, 28783, 21151, 4153, 8243, 1662, 2715, 258, 272, 3686, 6525, 11377, 14050, 3189, 573, 7346, 9507, 346, 573, 24995, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 24995, 6695, 14050, 3189, 330, 14533, 7346, 9507, 23533, 1638, 4153, 267, 6525, 6695, 14050, 3189, 9792, 7346, 9507, 346, 9792, 4153, 267, 6525, 6695, 14050, 3189, 18600, 8512, 7346, 9507, 346, 3725, 24995, 6695, 14050, 3189, 3412, 698, 2435, 8512, 7346, 9507, 346, 3412, 24995, 6695, 14050, 3189, 26855, 2163, 7346, 9507, 346, 26855, 24995, 6695, 14050, 3189, 17884, 22042, 272, 27037, 347, 1948, 272, 1422, 347, 6525, 6695, 14050, 3189, 27903, 22042, 273, 27037, 30848, 1948, 272, 267, 1948, 273, 1422, 26917, 6525, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 24995, 6695, 14050, 3189, 573, 7346, 9507, 346, 573, 24995, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 24995, 6695, 14050, 3189, 330, 14533, 7346, 9507, 23533, 1638, 4153, 267, 6525, 6695, 14050, 3189, 9792, 7346, 9507, 346, 9792, 4153, 267, 6525, 6695, 14050, 3189, 18600, 8512, 7346, 9507, 346, 3725, 24995, 6695, 14050, 3189, 3412, 698, 2435, 8512, 7346, 9507, 346, 3412, 24995, 6695, 14050, 3189, 26855, 2163, 7346, 9507, 346, 26855, 24995, 6695, 14050, 3189, 17884, 22042, 272, 27037, 347, 1948, 272, 1422, 347, 6525, 6695, 14050, 3189, 27903, 22042, 273, 27037, 30848, 1948, 272, 267, 1948, 273, 1422, 26917, 6525, 6695, 14050, 3189, 306, 3966, 7346, 9507, 346, 31078, 24995, 11377, 14050, 3189, 8150, 7346, 684, 545, 1712, 314, 269, 279, 267, 271, 31765, 343, 18891, 289, 3686, 9681, 22704, 540, 2694, 540, 513, 5858, 780, 1012, 9351, 540, 590, 26662, 543, 21540, 906, 692, 288, 5823, 540, 513, 5858, 568, 519, 1858, 22112, 676, 1079, 2234, 4512, 543, 519, 9095, 1063, 519, 1439, 9557, 540, 519, 2234, 4512, 269, 1403, 678, 568, 519, 8953, 543, 1422, 4204, 1002, 346, 5723, 348, 568, 519, 9095, 3808, 532, 513, 5823, 267, 1287, 519, 1858, 540, 519, 5823, 568, 3230, 288, 7807, 13320, 31551, 315, 4204, 1002, 346, 5723, 348, 25452, 11740, 17353, 15132, 14990, 10383, 1422, 7032, 678, 317, 273, 29634, 288, 10126, 540, 513, 5858, 568, 519, 1858, 540, 513, 5858, 602, 568, 22112, 676, 513, 16147, 543, 519, 9095, 609, 519, 1482, 1439, 9557, 607, 519, 16147, 269, 634, 1858, 540, 513, 10126, 568, 3230, 288, 18155, 3667, 346, 572, 8540, 3686, 284, 288, 26000, 2758, 6629, 288, 18155, 18773, 13235, 15732, 1432, 952, 596, 941, 2016, 513, 5858, 609, 1079, 2234, 4512, 538, 799, 519, 3148, 1063, 1346, 1079, 2234, 4512, 729, 26484, 286, 1215, 1223, 596, 1265, 519, 1858, 540, 602, 26484, 3148, 540, 519, 5858, 2496, 7078, 6695, 17273, 19340, 346, 272, 15732, 763, 1858, 540, 513, 5823, 568, 3230, 13670, 1422, 7032, 2330, 543, 519, 9095, 2268, 568, 476, 21327, 17353, 15132, 20467, 1548, 568, 519, 8953, 540, 519, 5858, 2496, 11405, 692, 303, 29888, 538, 1018, 596, 917, 547, 519, 5823, 1858, 4542, 543, 4194, 585, 678, 780, 17961, 25410, 348, 476, 13670, 1422, 7032, 17851, 1422, 13320, 346, 21327, 17353, 15132, 12453, 11740, 17353, 15132, 14990, 10383, 1422, 7032, 678, 317, 273, 8607, 476, 13670, 261, 284, 3374, 24206, 678, 317, 273, 8607, 1422, 13320, 346, 276, 2410, 274, 348, 1422, 10383, 476, 13670, 17851, 337, 317, 273, 8607, 476, 18597, 17851, 337, 317, 273, 1422, 21375, 678, 7807, 6912, 346, 18597, 13157, 1428, 1422, 754, 25410, 10926, 7078, 6695, 17273, 19340, 346, 273, 15732, 8340, 519, 1858, 540, 519, 26484, 3148, 269, 634, 29105, 568, 513, 4009, 780, 11405, 692, 763, 8953, 540, 519, 5858, 568, 476, 1626, 267, 799, 568, 849, 3368, 540, 519, 15497, 540, 519, 4009, 269, 1924, 267, 519, 15497, 568, 476, 3953, 543, 519, 5011, 1131, 581, 1422, 13320, 346, 3953, 7346, 6912, 346, 273, 14990, 10383, 1422, 13320, 3189, 6912, 346, 273, 24828, 6912, 346, 273, 3686, 284, 1626, 25490, 346, 273, 348, 1317, 1142, 3368, 540, 513, 4009, 568, 513, 476, 3393, 268, 3393, 268, 3445, 6906, 780, 17961, 25410, 348, 288, 18155, 3667, 346, 15132, 548, 3686, 261, 284, 1626, 317, 273, 1422, 7032, 815, 16348, 1422, 7032, 8607, 589, 18155, 3667, 346, 338, 13645, 3686, 261, 14352, 1626, 25490, 346, 273, 348, 8203, 273, 284, 16348, 24206, 476, 273, 284, 24423, 1422, 754, 25410, 10926, 763, 1858, 540, 519, 26484, 3148, 568, 3230, 16348, 1422, 7032, 6567, 24423, 1422, 13627, 476, 29580, 269, 1839, 9681, 7078, 6695, 17273, 19340, 346, 274, 15732, 8340, 519, 1858, 540, 519, 4544, 5823, 269, 23680, 707, 2626, 538, 2474, 540, 6695, 7032, 29634, 11405, 692, 1103, 519, 4605, 267, 519, 3844, 5086, 602, 14687, 609, 519, 5823, 568, 3230, 2568, 17353, 15132, 6525, 269, 3230, 2568, 17353, 15132, 6525, 568, 476, 1626, 540, 3230, 11740, 17353, 15132, 6525, 267, 865, 713, 5823, 568, 476, 1626, 540, 519, 2698, 1858, 269, 6695, 3667, 346, 19327, 540, 4544, 5823, 7684, 284, 1626, 24206, 1422, 7032, 476, 279, 317, 273, 7807, 13320, 346, 3953, 2410, 274, 348, 1422, 7032, 9681, 7078, 6695, 17273, 19340, 346, 272, 15732, 763, 1858, 540, 513, 5823, 568, 3230, 279, 1422, 7032, 2330, 543, 519, 8953, 540, 519, 5858, 568, 476, 1321, 269, 1548, 568, 519, 3844, 5086, 2496, 11405, 692, 303, 29888, 538, 1018, 596, 917, 547, 519, 5823, 1858, 4542, 543, 1287, 4194, 585, 519, 3844, 5086, 267, 799, 649, 786, 1289, 1535, 780, 17961, 25410, 348, 279, 1422, 7032 ]

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

[ 269, 1879, 646, 7012, 1405, 1821, 28666, 2835, 5128, 267, 646, 1131, 5531, 2828, 693, 1010, 2777, 585, 18512, 5717, 827, 1018, 789, 1185, 5063, 1224, 269, 901, 6612, 585, 1565, 23185, 1010, 5876, 543, 5280, 1864, 1711, 20605, 3197, 899, 546, 262, 9209, 1725, 534, 267, 19158, 657, 267, 623, 2180, 657, 267, 589, 1090, 529, 267, 543, 3798, 12107, 667, 656, 11726, 338, 780, 3963, 1281, 621, 2339, 547, 721, 2221, 888, 20091, 3091, 9118, 2640, 585, 938, 1072, 543, 8171, 269, 898, 10607, 3965, 267, 10597, 6568, 267, 6971, 2566, 267, 543, 21040, 6863, 269, 3807, 899, 22354, 516, 667, 30864, 267, 950, 649, 16616, 6000, 547, 1585, 11964, 543, 4589, 267, 649, 1932, 666, 1020, 21950, 4337, 5209, 543, 1732, 2792, 1983, 269, 5047, 267, 18167, 883, 13858, 6386, 2636, 721, 547, 2263, 3309, 10600, 543, 4529, 1247, 6967, 2922, 693, 1753, 780, 4131, 781, 2119, 606, 1383, 1927, 256, 5994, 596, 1930, 513, 1433, 827, 3504, 5527, 269, 1306, 596, 2253, 2542, 267, 707, 2634, 6238, 2870, 2592, 540, 14297, 6990, 4904, 609, 16678, 14546, 267, 26009, 26829, 16213, 1279, 20224, 936, 22501, 24301, 267, 543, 23836, 943, 21198, 338, 15194, 741, 25267, 269, 1411, 949, 849, 7237, 2189, 9821, 267, 4978, 267, 543, 2591, 5185, 676, 519, 12266, 1004, 1107, 782, 540, 799, 22962, 707, 1620, 540, 8103, 781, 3838, 2833, 2066, 942, 543, 2230, 780, 6962, 912, 1103, 3932, 267, 22354, 516, 667, 30864, 3788, 835, 540, 519, 1158, 781, 1034, 9976, 4589, 1813, 547, 1010, 9058, 2702, 547, 4739, 8903, 2984, 602, 13469, 609, 5481, 540, 3988, 269, 1635, 8508, 513, 2648, 585, 2542, 267, 1175, 607, 667, 30864, 1705, 267, 649, 1932, 666, 28231, 10373, 12587, 585, 938, 2790, 543, 3929, 1072, 269, 1924, 4584, 909, 513, 1433, 267, 4685, 883, 922, 3817, 267, 543, 7832, 593, 606, 17938, 1791, 908, 3460, 2407, 540, 6602, 267, 2208, 267, 543, 4276, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 20694, 663, 516, 667, 30864, 630, 335, 27056, 994, 20694, 663, 516, 667, 30864, 630, 335, 27056, 994, 23210, 29787, 267, 31075, 267, 1557, 626, 267, 2110, 3613, 800, 5856, 267, 15923, 5856, 267, 17770, 19212, 267, 543, 2278, 540, 11174, 5708, 563, 763, 1739, 7127, 6799, 606, 7650, 540, 667, 30864, 781, 4876, 998, 476, 1220, 277, 563, 291, 30864, 533, 27056, 9497, 1492, 9632, 8442, 814, 7283, 835, 540, 519, 1034, 11972, 569, 2442, 3209, 1235, 540, 519, 2250, 1079, 5553, 269, 7324, 1010, 1082, 9089, 540, 7045, 543, 15832, 267, 1419, 1305, 538, 513, 2796, 540, 3943, 1686, 543, 10023, 13840, 1483, 5515, 267, 519, 1655, 1634, 547, 2413, 3988, 616, 15776, 7708, 529, 544, 748, 638, 9508, 2231, 630, 7277, 275, 282, 634, 8422, 4053, 8208, 32580, 264, 543, 2274, 635, 974, 632, 22757, 4211, 2077, 334, 630, 7277, 275, 268, 7277, 276, 282, 634, 4032, 540, 22757, 4211, 2077, 334, 1070, 1312, 540, 799, 723, 1044, 9862, 547, 4670, 538, 3875, 24299, 269, 667, 30864, 568, 20295, 609, 2442, 1944, 519, 3943, 3140, 15832, 538, 519, 4571, 5991, 12078, 2540, 543, 814, 1044, 1572, 519, 3943, 19124, 8845, 630, 3369, 846, 654, 11232, 569, 9089, 1305, 538, 2025, 4789, 6039, 607, 606, 1271, 3310, 1040, 667, 30864, 568, 1419, 9011, 1645, 569, 3379, 547, 1010, 29629, 2456, 8841, 18018, 334, 543, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10890, 543, 25682, 257, 607, 851, 540, 834, 16300, 13493, 1315, 22419, 1315, 29329, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 769, 713, 1576, 1770, 267, 649, 5490, 883, 30427, 22158, 267, 513, 2565, 5943, 602, 8711, 519, 25872, 540, 4008, 8635, 2066, 10665, 1247, 1298, 1359, 12790, 9739, 1369, 2518, 15594, 5322, 269, 901, 5133, 7575, 3564, 7522, 8847, 540, 22158, 12082, 9003, 538, 5375, 8658, 676, 9301, 875, 1379, 3889, 971, 607, 19525, 267, 22030, 267, 10168, 267, 543, 16851, 3337, 2021, 781, 2833, 8335, 2066, 1585, 4525, 543, 4529, 780, 2414, 2253, 267, 1577, 721, 2263, 1883, 2035, 3844, 547, 30427, 22158, 281, 28622, 267, 14051, 267, 543, 1232, 565, 11102, 640, 780, 11328, 7611, 1275, 267, 22579, 676, 3656, 16159, 13690, 828, 331, 2946, 11511, 985, 24849, 538, 476, 2735, 280, 267, 4016, 547, 519, 1950, 2081, 602, 2789, 3029, 540, 7130, 1107, 1519, 3023, 1143, 267, 10168, 267, 4630, 22785, 267, 2111, 1143, 267, 543, 1362, 1143, 1107, 16937, 543, 12969, 267, 2870, 2189, 1727, 11306, 4810, 676, 2043, 693, 741, 28963, 269, 28249, 531, 2079, 2636, 30427, 8706, 1235, 547, 4983, 891, 20718, 1949, 540, 1379, 543, 17979, 950, 6236, 2152, 7133, 2021, 11451, 269, 1280, 1383, 267, 1382, 814, 3254, 602, 2916, 1689, 25409, 5222, 7087, 2021, 2713, 538, 6820, 3162, 2477, 1813, 547, 2188, 899, 3908, 1569, 547, 2200, 543, 3375, 6194, 1379, 267, 2417, 12615, 908, 4540, 4008, 543, 7292, 13103, 780, 17471, 1436, 267, 1776, 2629, 1523, 538, 30427, 22158, 267, 6257, 519, 2810, 5610, 540, 11615, 267, 7239, 267, 543, 4529, 998, 3486, 4123, 267, 2792, 4066, 267, 543, 9194, 8928, 269, 2755, 930, 8044, 602, 14051, 5012, 547, 3152, 3255, 585, 3444, 14426, 5385, 543, 5698, 1851, 2021, 5001, 267, 1866, 25077, 621, 2164, 538, 1007, 3029, 540, 14226, 543, 19514, 1646, 1063, 6082, 269, 22718, 519, 1764, 540, 14051, 593, 575, 25311, 4074, 6990, 8761, 22880, 24716, 282, 4352, 972, 723, 1044, 12374, 1500, 2509, 2804, 16882, 585, 930, 2021, 538, 1978, 9922, 267, 2949, 267, 2518, 4747, 8635, 26251, 267, 3226, 2059, 3345, 4149, 1926, 3515, 269, 5047, 267, 2021, 3136, 547, 20441, 13016, 7694, 267, 6353, 676, 1970, 13848, 267, 4057, 2324, 2175, 267, 543, 2370, 2816, 3354, 780, 13356, 565, 11102, 640, 3091, 513, 7828, 998, 799, 30427, 8706, 1235, 666, 4161, 16402, 1417, 878, 1702, 2504, 543, 8789, 6386, 5935, 938, 24300, 540, 4008, 1894, 269, 1546, 3712, 517, 1944, 4485, 11168, 19815, 2438, 4763, 267, 8716, 4244, 12331, 540, 6616, 6508, 689, 2199, 2950, 543, 1016, 24503, 730, 917, 1194, 2471, 269, 1635, 9691, 6313, 3140, 23543, 540, 17091, 543, 4187, 9620, 267, 1232, 565, 11102, 17024, 1289, 3007, 547, 5571, 3157, 540, 2686, 2144, 5501, 543, 3261, 566, 602, 28511, 12623, 20470, 1379, 6384, 538, 4207, 2518, 6214, 269, 2290, 8037, 1383, 2882, 3646, 547, 8190, 7087, 4654, 543, 5389, 607, 6411, 540, 32134, 1996, 3936, 2401, 7810, 3785, 780, 1103, 2259, 267, 30427, 22158, 22851, 609, 1514, 5126, 17933, 543, 3609, 14223, 267, 5373, 2390, 922, 7811, 4030, 547, 20834, 1125, 7104, 2962, 543, 3895, 7293, 7004, 269, 2368, 7986, 2127, 1141, 30427, 15594, 9299, 343, 529, 814, 8329, 3648, 1331, 1384, 272, 269, 20351, 543, 3115, 8793, 7126, 281, 3690, 20139, 8706, 1235, 12167, 585, 8471, 1569, 547, 4638, 543, 10285, 1072, 2533, 267, 4101, 25516, 4031, 543, 4507, 602, 17225, 2021, 781, 13190, 936, 741, 4703, 269, 1358, 849, 3954, 8784, 5739, 2853, 899, 4775, 19058, 4573, 7976, 543, 1126, 7365, 267, 23712, 2066, 3084, 6302, 547, 1628, 17604, 5121, 543, 24244, 4299, 5095, 262, 9739, 563, 273, 269, 8534, 24779, 543, 3004, 16751, 281, 2060, 3395, 2338, 540, 2021, 4955, 7992, 18368, 585, 960, 267, 30427, 8706, 1235, 1445, 593, 5355, 20038, 585, 6469, 4600, 267, 15637, 267, 543, 824, 7925, 2516, 11630, 547, 6057, 543, 14226, 269, 3958, 267, 789, 8396, 1480, 19338, 676, 14053, 12477, 689, 6608, 543, 14078, 635, 14032, 538, 14123, 7142, 4074, 543, 2413, 8474, 563, 274, 269, 7025, 10456, 281, 20876, 602, 2825, 16839, 1419, 22652, 840, 1410, 12371, 4008, 16526, 267, 30427, 8706, 1235, 4497, 538, 29065, 12180, 543, 3609, 14223, 6322, 693, 5466, 2916, 1689, 267, 17717, 267, 1216, 20317, 267, 543, 1426, 22584, 269, 1452, 7341, 3343, 547, 4099, 1346, 1034, 28148, 4299, 676, 8733, 12159, 267, 5097, 7087, 9082, 267, 6917, 2950, 267, 543, 2021, 540, 2681, 563, 275, 269, 3353, 657, 7220, 543, 3642, 15979, 281, 1306, 2029, 5170, 547, 15449, 622, 1169, 2460, 540, 3232, 1272, 267, 30427, 8706, 1235, 29506, 1125, 1761, 12886, 11251, 1369, 6620, 543, 1239, 5036, 1031, 538, 5841, 4987, 3156, 269, 3414, 2565, 9382, 540, 10509, 6080, 262, 1909, 538, 10063, 1424, 11528, 31716, 267, 789, 7903, 1394, 1996, 25641, 2853, 602, 949, 12927, 11475, 610, 1267, 538, 8801, 4539, 585, 12790, 2950, 780, 3528, 8508, 30427, 15594, 3741, 267, 5640, 543, 9439, 7567, 3565, 547, 2679, 8537, 5755, 1431, 5827, 540, 1198, 532, 6209, 1689, 16135, 538, 6568, 267, 2463, 267, 543, 25262, 640, 269, 11086, 267, 14237, 606, 4656, 540, 30427, 15594, 6436, 543, 2994, 6087, 721, 547, 7119, 811, 29596, 538, 2518, 19929, 4478, 4008, 9698, 267, 1514, 5126, 267, 543, 4264, 1646, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 20809, 476, 3066, 547, 4864, 476, 6349, 267, 476, 1001, 280, 454, 2467, 786, 581, 1100, 1732, 1765, 3467, 10069, 1944, 267, 811, 2146, 20671, 267, 811, 29014, 267, 811, 24084, 2287, 1765, 3118, 547, 6108, 513, 3018, 540, 707, 4832, 269, 6787, 596, 616, 606, 15938, 19072, 2120, 270, 4942, 291, 2875, 267, 606, 2038, 4876, 4081, 267, 513, 4557, 3293, 12200, 1268, 267, 610, 2576, 3544, 540, 519, 30028, 15587, 267, 519, 5980, 585, 519, 5530, 540, 18748, 14400, 12054, 21577, 2488, 606, 5863, 4316, 547, 1451, 267, 2170, 267, 543, 1711, 7258, 1079, 18797, 540, 519, 1034, 2502, 11570, 630, 652, 21521, 543, 909, 7146, 268, 5765, 5640, 264, 2324, 538, 270, 19925, 1860, 2090, 689, 782, 1472, 519, 1158, 269, 22067, 581, 513, 16045, 2336, 8802, 626, 1674, 10741, 593, 11728, 267, 4989, 476, 272, 560, 269, 1530, 1846, 538, 782, 29468, 616, 2139, 593, 1101, 2097, 267, 1101, 6039, 269, 1284, 4363, 11578, 532, 19692, 982, 2663, 547, 10018, 707, 1283, 5079, 269, 2201, 4873, 476, 272, 560, 267, 29519, 14261, 3928, 786, 556, 1606, 564, 547, 513, 2362, 2179, 269, 22067, 585, 1175, 1079, 610, 1614, 2395, 952, 596, 6999, 547, 1491, 1079, 29468, 269, 2107, 3251, 585, 519, 2407, 22173, 543, 11578, 585, 607, 1082, 607, 2947, 29468, 269, 4107, 29468, 513, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 14298, 18426, 13316, 1315, 12339, 24452, 1299, 12339, 21442, 7869, 1315, 3690, 20139, 12339, 24452, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 4197, 7756, 27639, 998, 7734, 543, 12267, 692, 8702, 547, 938, 4241, 3460, 883, 1620, 1114, 4529, 256, 5620, 596, 2479, 9289, 875, 2984, 666, 948, 721, 1451, 827, 1004, 689, 824, 2694, 540, 519, 1158, 286, 2107, 1946, 930, 1913, 543, 7215, 1522, 723, 1114, 10096, 538, 1585, 4529, 286, 4270, 267, 1577, 781, 4685, 883, 713, 10578, 3408, 1927, 2439, 5575, 267, 1577, 781, 4952, 602, 1142, 2528, 814, 922, 1378, 834, 935, 1061, 8996, 2437, 899, 513, 2189, 5399, 4904, 609, 2835, 602, 2995, 721, 827, 741, 5389, 267, 4978, 267, 543, 2418, 269, 1452, 8021, 2270, 2984, 2854, 538, 1114, 4654, 543, 22463, 267, 1210, 3982, 4938, 629, 983, 625, 543, 6163, 269, 3807, 607, 649, 991, 547, 1174, 519, 1893, 1031, 538, 513, 1433, 547, 2972, 519, 1650, 267, 1565, 827, 891, 3604, 2337, 721, 1732, 10146, 543, 5660, 3309, 4529, 780, 3086, 267, 1589, 827, 2442, 2161, 902, 543, 18986, 1682, 538, 707, 1378, 1893, 1107, 6148, 1945, 899, 834, 527, 781, 986, 1456, 7314, 543, 5243, 1701, 1879, 2576, 3096, 971, 2453, 267, 789, 2356, 1810, 1405, 2503, 4890, 2831, 547, 2887, 689, 519, 6607, 256, 5502, 267, 891, 18986, 11703, 7215, 6655, 1808, 6835, 4470, 593, 1141, 596, 2661, 269, 6684, 267, 1169, 2528, 814, 10477, 5515, 540, 4633, 602, 949, 3100, 9490, 610, 14845, 952, 596, 2811, 14542, 609, 873, 269, 1635, 4974, 891, 10409, 28031, 802, 267, 649, 2744, 4030, 883, 2199, 9821, 543, 2081, 540, 3206, 780, 9202, 267, 1577, 781, 2263, 875, 4589, 689, 1585, 10080, 2328, 827, 741, 7239, 269, 1358, 1419, 6451, 2609, 540, 7810, 1686, 610, 2232, 1514, 2152, 538, 741, 1568, 269, 1280, 3236, 267, 2015, 3140, 2621, 5473, 17091, 543, 741, 1764, 593, 2413, 2950, 269, 2368, 5830, 946, 741, 2984, 547, 16472, 2250, 4636, 4777, 902, 610, 8774, 1769, 593, 5571, 9620, 269, 1306, 3988, 267, 649, 1831, 811, 15520, 3222, 950, 649, 2628, 3007, 547, 891, 4798, 780, 11101, 267, 2984, 4749, 2992, 6848, 8155, 543, 6788, 3823, 3347, 267, 1920, 6384, 267, 543, 4008, 5107, 269, 1635, 6313, 891, 3344, 2066, 2789, 6386, 267, 649, 3605, 3838, 1480, 2833, 1247, 849, 19825, 519, 2189, 7907, 602, 5581, 1367, 4529, 780, 13010, 267, 3695, 4296, 1063, 3332, 543, 2486, 2636, 721, 547, 4983, 2518, 2591, 899, 7130, 267, 6710, 267, 543, 2825, 4145, 269, 3509, 4589, 10994, 891, 3584, 2212, 6823, 267, 5356, 5380, 602, 22962, 938, 1620, 540, 519, 1158, 1472, 721, 780, 15563, 267, 18167, 4514, 883, 5339, 2079, 6087, 721, 547, 2697, 18596, 6698, 267, 18305, 267, 610, 18840, 18196, 1369, 2984, 688, 4979, 689, 1808, 4525, 269, 1133, 16225, 532, 891, 1455, 16060, 27862, 938, 2542, 1995, 543, 18791, 938, 9787, 540, 6237, 9163, 780, 1103, 3932, 267, 5887, 1005, 883, 519, 7706, 540, 3486, 3332, 10741, 909, 11995, 3255, 585, 3444, 14426, 6602, 269, 1924, 10544, 513, 1433, 630, 528, 1079, 14386, 689, 1776, 7944, 540, 519, 8608, 543, 7832, 593, 713, 13858, 7045, 7258, 721, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 20442, 5815, 1614, 1523, 8996, 338, 540, 6054, 269, 1548, 1985, 5777, 540, 851, 543, 2500, 23977, 3258, 3359, 616, 6462, 538, 891, 6821, 267, 609, 741, 1569, 593, 8635, 543, 654, 1177, 286, 1215, 1745, 519, 19937, 1235, 540, 1433, 6006, 1294, 609, 610, 798, 7810, 9443, 543, 2474, 540, 524, 573, 1228, 286, 1548, 1772, 540, 1357, 13173, 2686, 689, 891, 769, 27771, 687, 286, 12059, 267, 1018, 24816, 540, 1433, 10552, 543, 2486, 616, 693, 5576, 28704, 5336, 518, 343, 538, 891, 19141, 286, 901, 8474, 568, 609, 713, 1554, 547, 2736, 2686, 838, 553, 916, 6932, 519, 9972, 4638, 885, 540, 476, 275, 304, 291, 4645, 14309, 689, 519, 7616, 540, 3162, 5607, 543, 519, 29412, 2680, 540, 519, 8128, 676, 799, 5898, 17050, 281, 1256, 267, 1018, 2968, 621, 2721, 547, 11578, 513, 8376, 540, 4759, 538, 1114, 3127, 267, 950, 519, 4832, 10927, 540, 519, 6704, 267, 922, 14980, 2055, 267, 543, 13747, 4031, 729, 3194, 532, 9138, 286, 3776, 3344, 595, 2100, 593, 24947, 609, 519, 14026, 538, 519, 1114, 543, 12250, 769, 27771, 687, 538, 5180, 14456, 1433, 10552, 11565, 3127, 543, 2022, 24645, 9031, 269, 2409, 540, 11572, 19004, 257, 263, 476, 7277, 279, 264, 547, 581, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 28057, 8228, 568, 513, 4480, 602, 814, 1044, 1031, 585, 5553, 547, 1711, 4190, 543, 6946, 9102, 6272, 269, 2311, 922, 4295, 267, 8323, 8228, 3322 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 14654, 680, 272, 815, 630, 272, 267, 994, 14654, 680, 273, 815, 630, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 994, 14654, 680, 274, 815, 8913, 680, 272, 1341, 8913, 680, 273, 454, 14654, 680, 275, 815, 8913, 680, 273, 2608, 476, 275, 692, 2745, 2891, 14654, 680, 273, 7511, 421, 499, 379, 18021, 355, 16088, 2580, 7003, 6025, 340, 680, 273, 4917, 2745, 2891, 14654, 680, 273, 7511, 21588, 361, 273, 28996, 274, 14748, 30317, 27381, 510, 16088, 2580, 8913, 680, 273, 314, 272, 281, 274, 7481, 2745, 3488, 14654, 680, 274, 281, 3299, 8913, 680, 274, 994, 2745, 3488, 14654, 680, 275, 281, 3299, 14654, 680, 275, 2020, 343, 267, 586, 815, 476, 272, 267, 476, 273, 454, 2745, 2891, 19368, 540, 1535, 2073, 586, 2433, 14307, 1535, 11971, 264, 0, 1038, 476, 5992, 7462, 7379, 18185, 910, 3487, 324, 1948, 272, 476, 5992, 7462, 5897, 5814, 4351, 1477, 5814, 19523, 5897, 3698, 1016, 6339, 318, 5632, 322, 28399, 825, 1948, 760, 318, 5417, 816, 815, 476, 271, 1477, 825, 1948, 11357, 6339, 8548, 2532, 815, 476, 271, 1477, 825, 2119, 6769, 1038, 1820, 9497, 315, 333, 14744, 1038, 1820, 9497, 5327, 11220, 676, 5975, 334, 14744, 1038, 1820, 9497, 15916, 1158, 14744, 1038, 1948, 16485, 585, 606, 7379, 17372, 1477, 1038, 1948, 10267, 9535, 7379, 2232, 14496, 1477, 1038, 1247, 6936, 6769, 2018, 28258, 318, 5417, 816, 815, 3403, 2891, 11767, 606, 7379, 2232, 281, 834, 10142, 2018, 1948, 8620, 519, 1592, 834, 320, 257, 689, 28258, 318, 5417, 816, 1477, 2018, 1948, 8266, 2609, 689, 24590, 7379, 17372, 676, 834, 1701, 1477, 2018, 513, 815, 28258, 318, 5417, 816, 21858, 3488, 9538, 10142, 2018, 1948, 7410, 19472, 519, 3403, 28258, 2232, 267, 568, 538, 4570, 2039, 267, 561, 1263, 543, 3884, 1405, 2199, 7329, 1477, 2018, 952, 630, 6352, 5416, 264, 2652, 476, 275, 264, 543, 630, 272, 10922, 703, 5416, 314, 271, 8079, 10922, 476, 23417, 264, 543, 630, 842, 5416, 314, 271, 8079, 11203, 476, 14096, 264, 543, 630, 842, 5416, 314, 271, 8079, 11203, 476, 15433, 610, 703, 5416, 314, 272, 8079, 11203, 476, 22724, 264, 543, 630, 271, 10922, 703, 5416, 314, 272, 8079, 10922, 476, 14838, 543, 476, 271, 10922, 703, 5416, 314, 273, 8079, 10922, 476, 14838, 543, 476, 271, 10922, 703, 5416, 314, 274, 8079, 10922, 476, 14838, 8029, 3546, 2736, 5897, 2018, 3116, 6769, 3546, 1820, 19629, 333, 634, 7379, 2232, 568, 5442, 309, 3201, 2839, 256, 7490, 1427, 787, 256, 1422, 333, 14744, 3546, 3136, 5897, 1038, 1948, 4289, 540, 4570, 22347, 2532, 547, 19472, 3403, 1477, 1038, 13968, 815, 1496, 14838, 267, 476, 22724, 267, 476, 21857, 267, 476, 27886, 267, 476, 13301, 267, 476, 23470, 267, 476, 4572, 267, 476, 12553, 267, 476, 271, 316, 5897, 1038, 1948, 10267, 9535, 4427, 6339, 631, 2532, 14496, 1477, 1038, 1247, 6936, 6769, 2018, 1016, 6339, 8548, 2532, 815, 3403, 2891, 11767, 513, 1016, 6339, 9633, 281, 834, 10142, 2018, 1948, 8620, 513, 1592, 689, 1016, 6339, 8548, 2532, 1477, 2018, 536, 815, 1016, 6339, 8548, 2532, 21858, 3488, 9538, 10142, 2018, 952, 630, 6352, 6357, 264, 2652, 476, 275, 264, 543, 630, 842, 6357, 314, 271, 8079, 2652, 476, 14838, 264, 543, 630, 842, 6357, 314, 272, 8079, 538, 13968, 264, 543, 630, 842, 6357, 314, 273, 8079, 538, 13968, 264, 543, 630, 842, 6357, 314, 274, 8079, 538, 13968, 264, 543, 630, 842, 6357, 314, 271, 8079, 13843, 703, 6357, 314, 272, 8079, 13843, 703, 6357, 314, 273, 8079, 13843, 703, 6357, 314, 274, 8079, 8029, 3546, 2736, 5897, 2018, 3116, 6769, 3546, 1820, 9497, 315, 333, 763, 1016, 6339, 9633, 568, 5442, 309, 3201, 2839, 256, 7490, 1427, 787, 256, 315, 333, 14744, 3546, 3136, 5897, 453, 5992, 7462, 7379, 18185, 910, 3487, 1948, 273, 476, 5992, 7462, 5897, 1038, 1948, 11357, 6339, 8446, 267, 1759, 593, 7379, 543, 4427, 6339, 631, 2532, 5897, 1038, 1948, 3519, 3200, 9633, 547, 9352, 5569, 1477, 1038, 9633, 318, 24934, 1115, 7272, 611, 4765, 815, 1496, 15947, 1038, 9633, 318, 24934, 1115, 318, 20657, 2711, 815, 1016, 6339, 8548, 2532, 21858, 2891, 1701, 3418, 1038, 1948, 2745, 630, 332, 2532, 318, 24934, 1115, 318, 20657, 2711, 10142, 1038, 585, 12354, 564, 16229, 538, 2039, 263, 271, 267, 7003, 9852, 2532, 318, 24934, 1115, 318, 20657, 2711, 264, 2567, 5897, 2018, 1948, 2745, 630, 16535, 17301, 9852, 2532, 318, 24934, 1115, 318, 20657, 2711, 314, 24934, 564, 16229, 316, 4297, 10142, 2018, 9352, 318, 24934, 564, 815, 10822, 17301, 9852, 2532, 318, 24934, 1115, 318, 20657, 2711, 314, 24934, 564, 16229, 8079, 1040, 20889, 2891, 321, 8442, 314, 272, 15947, 2018, 1948, 2745, 630, 321, 2435, 318, 24934, 564, 10142, 2018, 1948, 604, 814, 476, 279, 3787, 267, 1039, 2338, 547, 9633, 318, 24934, 564, 7272, 611, 4765, 1592, 1477, 2018, 952, 7003, 6357, 2435, 318, 24934, 564, 264, 2652, 476, 279, 6769, 3546, 9633, 318, 24934, 1115, 7272, 611, 4765, 6910, 6357, 2435, 318, 24934, 564, 10142, 2018, 1948, 604, 1447, 982, 476, 279, 3787, 267, 6445, 609, 476, 271, 1210, 1547, 345, 15640, 630, 1990, 607, 4642, 3418, 2018, 8640, 7003, 6357, 2435, 318, 24934, 564, 264, 2999, 476, 279, 6769, 3546, 9352, 318, 24934, 564, 7272, 611, 4765, 815, 9352, 318, 24934, 564, 269, 345, 15640, 263, 279, 3418, 3546, 9633, 318, 24934, 1115, 7272, 611, 4765, 6910, 6357, 2435, 318, 24934, 564, 7272, 611, 4765, 10142, 1038, 1948, 2745, 630, 332, 2532, 318, 24934, 1115, 7272, 611, 4765, 10142, 1038, 1948, 718, 9633, 318, 24934, 31637, 7272, 611, 4765, 1592, 2418, 786, 6443, 607, 835, 4756, 1871, 1477, 1038, 1948, 15884, 1397, 513, 1279, 8918, 1297, 609, 476, 272, 543, 476, 271, 1152, 1477, 1038, 8918, 8548, 2532, 815, 834, 2668, 21860, 9852, 2532, 318, 24934, 1115, 7272, 611, 4765, 3418, 1038, 1948, 2745, 630, 20657, 2711, 8548, 2532, 3418, 1038, 1948, 1290, 2889, 8663, 281, 585, 476, 14838, 269, 14838, 269, 14838, 269, 271, 18092, 476, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 9340, 1822, 1822, 876, 5897, 1038, 1948, 15575, 532, 3984, 11353, 538, 519, 9633, 543, 12719, 1297, 540, 14747, 4882, 889, 6339, 1477, 1038, 1297, 15058, 318, 24029, 815, 8918, 8548, 2532, 29644, 2891, 271, 14744, 1038, 1297, 15058, 318, 2158, 815, 476, 3953, 910, 1297, 15058, 318, 24029, 1477, 1038, 1297, 15058, 318, 10676, 338, 815, 2612, 263, 273, 2878, 1297, 15058, 318, 24029, 910, 476, 273, 264, 1948, 8873, 2318, 1871, 585, 9633, 1315, 3953, 5897, 1038, 1948, 2745, 630, 15893, 15058, 318, 24029, 3418, 1038, 1948, 2745, 630, 15893, 15058, 318, 2158, 3418, 1038, 1948, 2745, 630, 15893, 15058, 318, 10676, 338, 10142, 1038, 1948, 11917, 8877, 3552, 15258, 9633, 1477, 1038, 3552, 15258, 318, 24934, 1115, 815, 1496, 15947, 1038, 585, 530, 318, 24934, 564, 538, 9633, 318, 24934, 1115, 318, 20657, 2711, 6769, 2018, 3552, 318, 24934, 564, 815, 476, 14838, 910, 703, 26028, 318, 24934, 564, 3418, 2018, 3552, 15258, 318, 24934, 1115, 6910, 19304, 26028, 843, 318, 24934, 564, 264, 10142, 1038, 1948, 2745, 630, 32612, 15258, 318, 24934, 1115, 10142, 1038, 3552, 15258, 8548, 2532, 815, 834, 1701, 269, 21860, 26028, 843, 15258, 318, 24934, 1115, 3418, 1038, 1948, 2745, 630, 32612, 15258, 8548, 2532, 10142, 1038, 476, 5992, 7462, 7379, 18185, 910, 3487, 1948, 274, 476, 5992, 7462, 5897, 1038, 1948, 3519, 3200, 7379, 547, 9352, 5569, 1477, 1038, 28258, 318, 24934, 1115, 7272, 611, 4765, 815, 1496, 15947, 1038, 28258, 318, 24934, 1115, 318, 20657, 2711, 815, 28258, 318, 5417, 816, 21858, 2891, 1701, 10142, 1038, 585, 12354, 564, 16229, 538, 2039, 263, 271, 267, 7003, 263, 760, 318, 24934, 1115, 318, 20657, 2711, 264, 2567, 5897, 2018, 9352, 318, 24934, 564, 815, 10822, 17301, 263, 760, 318, 24934, 1115, 318, 20657, 2711, 314, 24934, 564, 16229, 8079, 1040, 20889, 2891, 321, 8442, 314, 272, 316, 5897, 2018, 952, 7003, 6357, 2435, 318, 24934, 564, 264, 2999, 476, 279, 6769, 3546, 9352, 318, 24934, 564, 7272, 611, 4765, 815, 9352, 318, 24934, 564, 269, 345, 15640, 263, 279, 3418, 3546, 28258, 318, 24934, 1115, 7272, 611, 4765, 6910, 6357, 2435, 318, 24934, 564, 7272, 611, 4765, 10142, 2018, 3116, 6769, 3546, 28258, 318, 24934, 1115, 7272, 611, 4765, 6910, 6357, 2435, 318, 24934, 564, 10142, 1038, 1948, 2745, 630, 760, 318, 24934, 1115, 7272, 611, 4765, 10142, 1038, 9352, 318, 760, 815, 834, 2668, 21860, 263, 760, 318, 24934, 1115, 7272, 611, 4765, 10142, 1038, 1948, 2745, 630, 321, 2435, 318, 760, 3418, 1038, 1948, 1290, 2889, 8663, 281, 585, 476, 4572, 269, 12739, 269, 273, 269, 1911, 18092, 476, 8099, 1822, 9826, 18089, 1911, 1822, 1822, 18089, 18733, 9826, 876, 5897, 1038, 1948, 11917, 1555, 519, 3060, 2232, 543, 13739, 2232, 689, 519, 9352, 12673, 5833, 1657, 5897, 1038, 3060, 318, 5417, 816, 10734, 2435, 815, 9352, 318, 760, 11468, 263, 15893, 15058, 318, 2158, 13580, 1341, 834, 271, 257, 2608, 1297, 15058, 318, 24029, 1477, 1038, 1948, 2745, 630, 6339, 1740, 318, 5417, 816, 10734, 2435, 10142, 1038, 13739, 318, 5417, 816, 10734, 2435, 815, 9352, 318, 760, 11468, 263, 15893, 15058, 318, 2158, 13580, 1341, 834, 272, 257, 2608, 1297, 15058, 318, 24029, 1477, 1038, 1948, 2745, 630, 321, 5802, 4751, 318, 5417, 816, 10734, 2435, 10142, 1038, 2121, 318, 760, 318, 24934, 1115, 815, 1496, 15947, 1038, 585, 12354, 564, 538, 2039, 263, 271, 267, 7003, 3799, 564, 1740, 318, 5417, 816, 10734, 2435, 1070, 476, 279, 8029, 2018, 2121, 318, 760, 318, 24934, 564, 815, 3060, 318, 5417, 816, 10734, 2435, 314, 24934, 564, 281, 24934, 564, 266, 279, 15947, 2018, 2121, 318, 760, 318, 24934, 1115, 6910, 3799, 564, 318, 760, 318, 24934, 564, 10142, 1038, 1948, 2745, 630, 6339, 318, 760, 318, 24934, 1115, 10142, 1038, 2121, 318, 760, 318, 5417, 816, 815, 1496, 15947, 1038, 585, 1142, 318, 24934, 564, 538, 2121, 318, 760, 318, 24934, 1115, 6769, 2018, 2121, 318, 760, 318, 5417, 816, 6910, 19304, 17301, 16216, 778, 318, 24934, 564, 267, 476, 273, 4297, 10142, 1038, 1948, 2745, 630, 6339, 318, 760, 318, 5417, 816, 10142, 1038, 3060, 318, 5417, 816, 815, 834, 1701, 269, 21860, 3799, 564, 318, 760, 318, 5417, 816, 3418, 1038, 1948, 2745, 630, 6339, 1740, 318, 5417, 816, 10142, 1038, 536, 560, 318, 760, 318, 24934, 1115, 815, 1496, 15947, 1038, 585, 12354, 564, 538, 2039, 263, 271, 267, 7003, 6357, 5802, 4751, 318, 5417, 816, 10734, 2435, 1070, 476, 279, 8029, 2018, 536, 560, 318, 760, 318, 24934, 564, 815, 13739, 318, 5417, 816, 10734, 2435, 314, 24934, 564, 281, 24934, 564, 266, 279, 15947, 2018, 536, 560, 318, 760, 318, 24934, 1115, 6910, 6357, 560, 318, 760, 318, 24934, 564, 10142, 1038, 1948, 2745, 630, 321, 560, 318, 760, 318, 24934, 1115, 10142, 1038, 536, 560, 318, 760, 318, 5417, 816, 815, 1496, 15947, 1038, 585, 1142, 318, 24934, 564, 538, 536, 560, 318, 760, 318, 24934, 1115, 6769, 2018, 536, 560, 318, 760, 318, 5417, 816, 6910, 19304, 17301, 16216, 778, 318, 24934, 564, 267, 476, 273, 4297, 10142, 1038, 1948, 2745, 630, 321, 560, 318, 760, 318, 5417, 816, 10142, 1038, 13739, 318, 5417, 816, 815, 834, 1701, 269, 21860, 6357, 560, 318, 760, 318, 5417, 816, 3418, 1038, 1948, 2745, 630, 321, 5802, 4751, 318, 5417, 816, 10142, 1038, 1948, 24342, 585, 5697, 7379, 8276, 2532, 1477, 1038, 1820, 9497, 315, 333, 14744, 1038, 1820, 9497, 15187, 1740, 2232, 568, 281, 4939, 338, 257, 4939, 3060, 318, 5417, 816, 3418, 1038, 1820, 9497, 289, 5802, 4751, 2232, 568, 281, 4939, 338, 257, 4939, 13739, 318, 5417, 816, 3418, 1038, 1820, 9497, 10831, 540, 4570, 14747, 829, 1016, 6339, 281, 4939, 338, 257, 4939, 1297, 15058, 318, 10676, 338, 3418, 1038, 1820, 9497, 27288, 15258, 9633, 281, 4939, 338, 257, 4939, 3552, 15258, 8548, 2532, 3418, 1038, 1820, 9497, 300, 2532, 11353, 281, 4939, 338, 257, 4939, 1297, 15058, 318, 2158, 3418, 1038, 1820, 9497, 315, 333, 257, 10142, 1038, 476, 5992, 7462, 7379, 18185, 910, 3487, 1948, 275, 476, 5992, 7462, 5897, 1038, 1948, 7049, 3130, 540, 4351, 7379, 538, 1016, 6339, 1477, 1038, 1247, 6936, 6769, 2018, 5352, 815, 3403, 2891, 7049, 4733, 4351, 28258, 2232, 689, 1016, 6339, 286, 630, 344, 14672, 2567, 834, 10142, 2018, 952, 5352, 2652, 834, 344, 257 ]

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

[ 8490, 18242, 454, 10144, 667, 539, 5344, 547, 28742, 454, 291, 1737, 569, 8813, 610, 1022, 824, 2186, 540, 8813, 1058, 581, 15286, 676, 2348, 513, 3354, 6885, 609, 13063, 538, 621, 269, 0, 15575, 532, 3213, 1231, 4569, 10632, 454, 15575, 532, 3213, 1231, 4569, 10632, 5767, 3377, 267, 2592, 267, 2079, 827, 16534, 513, 3126, 540, 2979, 2591, 547, 4444, 7727, 585, 519, 7552, 269, 15012, 519, 631, 842, 623, 1023, 538, 8600, 585, 513, 22742, 7552, 269, 16534, 513, 3126, 540, 2979, 2591, 547, 4444, 7727, 585, 519, 7552, 269, 7982, 547, 10632, 563, 11902, 17988, 585, 25478, 3213, 1231, 4569, 10632, 454, 1432, 616, 7317, 1293, 2724, 609, 11113, 3756, 888, 11328, 5562, 4032, 14559, 2060, 3213, 1231, 3756, 5000, 3214, 547, 2259, 543, 1451, 6128, 538, 606, 7317, 267, 1187, 1259, 269, 634, 1739, 6810, 786, 7866, 875, 891, 2228, 3872, 3756, 666, 14867, 8082, 585, 519, 3237, 676, 3450, 741, 547, 1206, 547, 1293, 2724, 1034, 3274, 563, 1432, 616, 519, 2640, 540, 10203, 11113, 3756, 888, 4322, 3756, 1450, 7368, 2259, 602, 2337, 12927, 10203, 2724, 1983, 269, 4841, 849, 960, 609, 6310, 20887, 543, 1451, 547, 1205, 936, 1346, 20887, 827, 519, 1523, 540, 10203, 2724, 269, 25478, 11113, 3756, 948, 1453, 547, 2697, 29784, 267, 19695, 543, 546, 830, 543, 1293, 873, 547, 4194, 1585, 2979, 2042, 563, 1692, 547, 4001, 3214, 547, 1293, 2724, 888, 15575, 532, 2724, 568, 513, 4105, 1888, 538, 6128, 3214, 1376, 1565, 689, 6103, 2290, 269, 6732, 1565, 3756, 3986, 741, 1719, 538, 713, 1888, 676, 4543, 873, 14650, 5691, 11113, 269, 1358, 4019, 519, 2035, 540, 1840, 543, 12408, 1247, 10203, 11113, 543, 2259, 609, 1187, 2724, 3756, 563, 1692, 798, 594, 2259, 10203, 11113, 888, 2080, 616, 930, 1187, 2081, 547, 2259, 10203, 11113, 269, 12989, 596, 3580, 1265, 513, 19625, 540, 3756, 543, 2238, 547, 948, 1053, 2259, 10203, 11113, 269, 594, 723, 3323, 609, 2238, 602, 1445, 593, 7114, 11113, 543, 1287, 594, 1628, 909, 547, 10203, 11777, 10659, 269, 7994, 519, 3756, 543, 2238, 602, 1655, 948, 596, 2743, 519, 2115, 540, 707, 1053, 563, 7197, 15019, 5240, 585, 25478, 3213, 1231, 4569, 10632, 454, 15575, 532, 2060, 3213, 1231, 10794, 1923, 772, 2529, 269, 631, 842, 585, 8866, 454, 300, 2292, 910, 6657, 609, 4569, 10632, 454, 27398, 5984, 256, 3040, 12409, 8950, 10632, 543, 29393, 585, 8866, 454, 4041, 27111, 24505, 631, 24535, 312, 910, 8342, 4569, 10632, 630, 10403, 2452, 267, 7665, 5426, 264, 280, 281, 6246, 910, 476, 273, 3275, 3516, 454, 8025, 3198, 16775, 11123, 654, 2969, 6224, 5058, 256, 19850, 24053, 267, 594, 6415, 15692, 28315, 269, 634, 8262, 7465, 717, 5446, 19305, 593, 13334, 256, 772, 22744, 3232, 3802, 10843, 4429, 2171, 4312, 2016, 596, 938, 1655, 5796, 267, 855, 1354, 596, 1224, 25478, 3213, 1231, 4569, 10632, 267, 581, 2386, 547, 798, 707, 1378, 1382, 269, 634, 1739, 616, 930, 1761, 3584, 540, 14374, 912, 1432, 568, 25478, 3213, 1231, 4569, 10632, 888, 1432, 568, 519, 2104, 540, 25478, 3213, 1231, 4569, 10632, 888, 1692, 547, 25478, 3213, 1231, 4569, 10632, 888, 5978, 7270, 616, 5781, 8242, 547, 2327, 519, 1344, 3177, 568, 607, 909, 3562, 15082, 607, 2009, 538, 14621, 547, 25478, 3213, 1231, 4569, 10632, 269, 6875, 5413, 540, 4950, 2200, 547, 1265, 856, 811, 827, 721, 563, 13043, 6657, 10794, 281, 25478, 3213, 1231, 630, 24433, 264, 910, 594, 5700, 898, 454, 294, 1868, 585, 8866, 593, 25478, 14559, 609, 3213, 1231, 454, 15575, 519, 3213, 1231, 10794, 910, 4569, 10632, 910, 590, 680, 1662, 9596, 454, 15575, 2724, 281, 7591, 5131, 6732, 3040, 4569, 910, 6435, 995, 10632, 454, 293, 12767, 3143, 6261, 10517, 25478, 3213, 1231, 10794, 910, 1411, 4312, 20944, 901, 4569, 454, 15575, 532, 3213, 1231, 10794, 910, 4569, 7591, 454, 15575, 532, 3213, 1231, 10794, 1923, 11314, 1923, 4065, 2593, 454, 13043, 10794, 281, 25478, 3213, 1231, 630, 24433, 264, 910, 594, 5700, 898, 454, 291, 20462, 514, 16376, 14559, 1923, 4569, 7591, 3033, 454, 289, 12864, 14559, 4569, 10632, 1923, 4065, 2593, 454, 290, 7765, 3933, 9094, 910, 4569, 10632, 593, 519, 2561, 15188, 454, 15575, 532, 14559, 10632, 585, 8866, 6732, 910, 590, 680, 1662, 9596, 454, 10403, 25478, 14559, 10794, 547, 6657, 25478, 3267, 910, 1411, 4312, 20944, 6693, 15575, 532, 14559, 667, 823, 10632, 7981, 4065, 5020, 10341, 14559, 6693, 15575, 532, 3213, 1231, 10632, 543, 11242, 910, 12267, 676, 853, 12929, 454, 10870, 1231, 910, 631, 10248, 10794, 910, 14559, 910, 4569, 10794, 910, 2701, 653, 731, 12229, 454, 16031, 269, 715, 1380, 29231, 910, 22418, 4934, 910, 6732, 10794, 454, 309, 23450, 540, 25478, 3213, 1231, 4569, 10632, 454, 15575, 519, 2724, 9462, 496, 364, 609, 519, 948, 540, 4569, 6539, 271, 281, 1321, 910, 476, 274, 3275, 3516, 454, 310, 7159, 816, 4249, 3014, 585, 5458, 9133, 256, 9462, 496, 369, 6930, 502, 366, 2701, 814, 547, 3442, 1063, 1614, 544, 13903, 547, 1265, 856, 1018, 1200, 9133, 568, 269, 4173, 5114, 568, 865, 4429, 3674, 1250, 1422, 273, 281, 3451, 281, 1626, 910, 476, 273, 3275, 3516, 454, 30252, 290, 2761, 476, 273, 4911, 787, 3213, 778, 3057, 25070, 910, 15604, 7024, 547, 3391, 6833, 3757, 267, 2098, 1120, 1299, 5019, 1601, 689, 27705, 21597, 547, 27587, 2509, 5594, 4429, 763, 17747, 5517, 3645, 568, 2390, 721, 269, 2537, 281, 7906, 910, 476, 273, 3275, 3516, 454, 28874, 519, 8756, 6930, 490, 509, 4793, 516, 517, 281, 4179, 2517, 4178, 4877, 11128, 517, 2593, 8276, 19376, 335, 3317, 4118, 8585, 577, 281, 4429, 15812, 7566, 23126, 31072, 634, 595, 720, 1923, 7033, 2692, 306, 13610, 17004, 1923, 21768, 269, 23417, 272, 281, 1428, 281, 5379, 910, 476, 273, 3275, 3516, 454, 306, 32256, 8585, 577, 4179, 2517, 4178, 4732, 1872, 1662, 641, 16691, 22870, 807, 1335, 335, 7033, 2692, 306, 13610, 17004, 717, 27186, 8943, 281, 570, 5960, 1280, 476, 1015, 260, 5510, 3267, 0, 3080, 540, 519, 1034, 13267, 3344, 540, 11670, 568, 519, 2702, 547, 1711, 621, 856, 540, 6094, 2011, 3842, 513, 1184, 1634, 607, 968, 332, 1456, 6100, 2755, 602, 779, 513, 3787, 540, 606, 936, 13678, 680, 2305, 630, 792, 940, 11670, 568, 811, 827, 7700, 8800, 982, 620, 17057, 344, 1070, 5599, 3788, 606, 24539, 585, 3478, 593, 4604, 609, 9045, 25493, 26981, 600, 9369, 779, 968, 332, 20723, 4950, 2724, 892, 1107, 855, 568, 5599, 1869, 513, 15164, 2534, 585, 519, 3328, 1268, 3592, 513, 8717, 1310, 11670, 1101, 7902, 888, 268, 25491, 3752, 1386, 281, 1290, 564, 2048, 302, 636, 340, 600, 7699, 779, 744, 9536, 3004, 915, 800, 4112, 7134, 454, 268, 24778, 344, 576, 1186, 2098, 4861, 773, 674, 2426, 639, 769, 634, 7831, 540, 2974, 281, 1772, 898, 7464, 888, 268, 14730, 6052, 16393, 20531, 17807, 1677, 25092, 6145, 13983, 6447, 1231, 454, 268, 8331, 779, 30197, 23571, 2598, 1723, 951, 7136, 633, 8895, 1314, 625, 689, 7216, 17807, 454, 268, 3642, 13378, 21538, 623, 846, 513, 19663, 21784, 540, 2598, 15574, 454, 268, 5616, 570, 13715, 1411, 4634, 1403, 1411, 2461, 3502, 6178, 539, 769, 454, 268, 7454, 10158, 1677, 16534, 6820, 654, 9879, 286, 29034, 2033, 7232, 908, 29318, 454, 268, 6611, 311, 9412, 564, 267, 24415, 935, 476, 280, 267, 4024, 9197, 1662, 20553, 9855, 2991, 476, 278, 13012, 32374, 538, 7216, 4728, 454, 268, 6611, 13749, 18521, 9464, 634, 21784, 540, 1546, 11421, 3245, 1323, 6196, 9412, 564, 454, 268, 28463, 976, 7232, 6614, 7348, 454, 10287, 7711, 290, 657, 21573, 334, 15187, 593, 12108, 0, 5611, 267, 1822, 1765, 1194, 547, 519, 6602, 540, 19421, 540, 1007, 2249, 543, 7494, 9450, 519, 27386, 1620, 540, 519, 2371, 540, 6792, 543, 2694, 540, 3162, 3013, 563, 294, 2761, 532, 519, 3400, 701, 281, 1977, 3400, 701, 341, 710, 17848, 18450, 538, 16713, 543, 519, 2622, 454, 763, 717, 2761, 532, 519, 3400, 701, 14266, 7710, 519, 1585, 1977, 18812, 2249, 602, 616, 1034, 1031, 538, 3857, 22450, 267, 21910, 532, 267, 543, 3094, 655, 1136, 267, 543, 875, 789, 941, 543, 3136, 547, 581, 1031, 676, 519, 7111, 9082, 540, 16713, 269, 4653, 267, 891, 1977, 18812, 341, 710, 3597, 18450, 2249, 3136, 547, 1683, 1382, 2591, 607, 3744, 1353, 543, 1174, 875, 519, 3597, 18450, 2371, 7498, 288, 345, 1446, 553, 593, 21238, 454, 3080, 540, 519, 16713, 15636, 19680, 12567, 779, 1034, 20498, 5614, 2982, 568, 18188, 5510, 5174, 5802, 3118, 267, 865, 547, 3717, 269, 13018, 267, 547, 21238, 22971, 267, 519, 3135, 540, 513, 1118, 6879, 3424, 21543, 8027, 811, 982, 476, 4968, 540, 519, 12567, 779, 20842, 1446, 553, 543, 11002, 617, 30705, 6425, 269, 3371, 267, 789, 24098, 513, 1857, 1958, 648, 538, 519, 2282, 2104, 269, 1452, 1397, 344, 267, 5614, 1532, 5979, 4040, 19211, 941, 6410, 547, 21238, 22971, 538, 476, 1708, 271, 2507, 563, 763, 1773, 697, 540, 519, 3933, 1105, 543, 1548, 1411, 2052, 1684, 547, 6435, 454, 288, 10950, 21233, 547, 10651, 267, 543, 2386, 1129, 4832, 568, 4947, 547, 606, 1439, 950, 2938, 538, 1804, 2516, 267, 16313, 17984, 616, 513, 20013, 540, 853, 269, 8402, 29278, 543, 8916, 2066, 519, 2197, 269, 1809, 741, 2338, 616, 546, 13388, 1782, 267, 3744, 2161, 269, 1744, 8667, 532, 10606, 543, 29510, 21073, 769, 5147, 476, 1708, 273, 267, 519, 4139, 5742, 585, 11094, 540, 7186, 267, 7498, 7804, 269, 17555, 1772, 8475, 25109, 5112, 281, 15636, 19680, 16140, 3691, 6033, 454, 1103, 476, 6245, 276, 267, 17555, 1772, 8475, 25109, 5112, 1131, 1831, 519, 1101, 2875, 1765, 1993, 1022, 4008, 23121, 7118, 513, 12854, 689, 6115, 2160, 563, 9928, 2651, 3414, 519, 12567, 281, 5239, 454, 8450, 519, 12567, 538, 922, 5239, 4778, 538, 891, 476, 1789, 5172, 6337, 540, 519, 3923, 563, 12648, 3776, 10326, 9517, 13658, 454, 4322, 555, 1941, 344, 2055, 949, 6978, 596, 4743, 10808, 267, 855, 1294, 952, 596, 666, 20630, 891, 4557, 2055, 827, 4054, 563, 763, 15636, 534, 1944, 30814, 15443, 28371, 454, 763, 16713, 15636, 19680, 12567, 568, 1753, 547, 811, 982, 5722, 2929, 2030, 15013, 269, 769, 1840, 547, 922, 1909, 607, 513, 1382, 1907, 585, 7762, 534, 1235, 267, 621, 568, 849, 513, 6885, 883, 1686, 269, 3962, 19494, 6645, 513, 1650, 1765, 6618, 532, 1004, 267, 2371, 267, 543, 4025, 269, 634, 12567, 779, 10786, 10740, 666, 2995, 721, 827, 519, 2038, 4876, 540, 14262, 7762, 534, 626, 6723, 6115, 7498, 1789, 12085, 1411, 631, 697, 3502, 5700, 6168, 519, 29725, 520, 1258, 454, 763, 29725, 520, 1258, 10378, 568, 606, 11265, 14952, 4904, 547, 519, 1490, 574, 609, 9341, 2371, 689, 782, 936, 519, 1158, 269, 589, 2603, 814, 5949, 538, 519, 476, 2568, 1296, 2094, 621, 1101, 8118, 547, 519, 1857, 269, 3245, 1686, 547, 1402, 2528, 267, 543, 1256, 606, 32613, 1807, 7237, 267, 1934, 616, 476, 1789, 1919, 596, 1522, 711, 917, 827, 519, 29725, 520, 1258, 269, 769, 7498, 301, 8233, 338, 540, 519, 12567, 281, 634, 4826, 700, 25788, 676, 1488, 16435, 534, 454, 301, 8233, 338, 540, 519, 12567, 281, 634, 4826, 700, 25788, 676, 1488, 16435, 534, 568, 4867, 8704, 538, 519, 15537, 543, 8834, 590, 778, 338, 7467, 282, 1498, 519, 12567, 568, 1930, 547, 519, 1857, 267, 519, 7467, 568, 4867, 6806, 1813, 547, 519, 5046, 268, 866, 6855, 267, 855, 519, 14266, 786, 581, 14648, 3842, 1896, 3059, 17008, 4947, 4166, 269, 7490, 2638, 519, 7467, 3135, 585, 7498, 9928, 2651, 3414, 14400, 281, 4864, 454, 9928, 2651, 998, 4832, 609, 519, 1283, 476, 1789, 6337, 689, 519, 16713, 15636, 19680, 12567, 713, 4864, 563, 9928, 2651, 3414, 14400, 281, 5147, 454, 763, 14246, 540, 519, 5147, 3141, 5036, 1055, 513, 535, 1066, 5414, 540, 2208, 607, 2371, 3914, 585, 519, 8445, 540, 741, 1761, 269, 634, 10347, 16719, 540, 5614, 543, 2038, 4832, 15052, 267, 543, 2371, 602, 941, 1507, 543, 18803, 1175, 4374, 3516, 1631, 8267, 332, 519, 5251, 609, 23292, 2681, 269, 631, 1749, 28026, 538, 853, 269, 8402, 568, 711, 7429, 4365, 2507, 0, 12850, 20317, 568, 3989, 607, 519, 3668, 540, 15195, 2200, 547, 2743, 519, 3044, 3747, 585, 1216, 269, 1284, 616, 6849, 513, 6433, 540, 1216, 538, 519, 2518, 9183, 267, 4352, 519, 3618, 779, 2627, 568, 4904, 609, 936, 476, 4037, 260, 540, 1216, 267, 1152, 1472, 476 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1432, 568, 519, 3017, 1063, 1178, 1188, 956, 543, 524, 4900, 888, 24836, 1188, 956, 543, 595, 4900, 4866, 547, 1114, 3885, 282, 1178, 1188, 956, 616, 9079, 614, 1749, 1247, 524, 4900, 616, 1351, 341, 1749, 269, 595, 4900, 616, 849, 3622, 3677, 543, 18219, 982, 1178, 1188, 956, 543, 723, 1114, 11954, 4064, 269, 769, 2474, 540, 4638, 3897, 6973, 1143, 267, 519, 1178, 1188, 956, 20546, 519, 524, 4900, 563, 6701, 1178, 1188, 956, 607, 2462, 607, 524, 4900, 888, 6097, 547, 519, 12590, 10748, 889, 517, 5980, 267, 524, 4900, 616, 7466, 607, 1804, 607, 1178, 1188, 956, 543, 616, 3109, 689, 581, 752, 547, 23179, 269, 1358, 4076, 849, 3893, 3677, 581, 6545, 267, 6626, 12209, 543, 513, 8937, 339, 1116, 524, 1177, 563, 1432, 568, 513, 26600, 540, 524, 4900, 1572, 888, 288, 1895, 540, 524, 4900, 568, 1572, 513, 968, 332, 584, 1457, 1848, 1703, 616, 1896, 1114, 3137, 585, 519, 5169, 540, 713, 2165, 267, 6140, 1759, 593, 2025, 12563, 8941, 543, 22530, 1431, 269, 1280, 3236, 267, 972, 568, 513, 12563, 339, 1446, 602, 524, 4900, 786, 5531, 543, 6430, 519, 3854, 12556, 540, 1776, 7715, 563, 3963, 568, 513, 26600, 540, 524, 4900, 1572, 15294, 619, 888, 3080, 2829, 602, 524, 4900, 1419, 786, 2097, 1927, 543, 968, 20657, 728, 519, 3854, 12556, 540, 1776, 7715, 1848, 6271, 2009, 5169, 2501, 689, 1004, 945, 2070, 519, 968, 1952, 30970, 540, 524, 4900, 607, 606, 522, 5443, 540, 2669, 1848, 4746, 267, 519, 8360, 968, 332, 584, 1457, 540, 524, 4900, 892, 2501, 689, 513, 942, 538, 1686, 950, 2516, 540, 2831, 941, 4330, 538, 1114, 2081, 563, 6701, 1178, 1188, 956, 538, 519, 7715, 1920, 888, 15987, 789, 616, 1142, 1804, 4158, 11954, 5017, 267, 1178, 1188, 956, 616, 711, 1644, 547, 524, 4900, 269, 3400, 1188, 956, 616, 538, 519, 594, 551, 518, 13160, 267, 610, 3109, 12704, 1920, 267, 799, 2882, 610, 2723, 525, 543, 10800, 18346, 269, 595, 4900, 616, 1351, 341, 1749, 267, 811, 5702, 1644, 547, 795, 904, 543, 4012, 335, 625, 563, 1432, 568, 513, 1895, 540, 1178, 1188, 956, 1572, 888, 14503, 4169, 540, 524, 4900, 616, 1572, 513, 968, 332, 584, 1457, 2223, 543, 1166, 4169, 540, 1178, 1188, 956, 616, 1572, 513, 968, 680, 6558, 1848, 594, 666, 1140, 652, 547, 519, 2012, 267, 1256, 952, 585, 1152, 1896, 3764, 563, 6701, 1178, 1188, 956, 5100, 899, 524, 4900, 888, 24836, 1188, 956, 616, 9425, 5100, 267, 855, 789, 616, 711, 2808, 547, 581, 607, 5100, 607, 1978, 824, 5017, 899, 524, 4900, 267, 986, 26223, 267, 543, 4012, 335, 625, 269, 3400, 1188, 956, 616, 5100, 2614, 547, 4137, 856, 1141, 547, 1265, 606, 2653, 7594, 543, 2697, 602, 513, 29057, 322, 992, 3884, 1406, 1483, 267, 855, 789, 616, 711, 2111, 547, 946, 2645, 610, 17932, 519, 4992, 540, 824, 5017, 563, 1432, 616, 476, 274, 524, 4900, 1572, 888, 763, 1034, 2442, 540, 891, 568, 1634, 607, 513, 12638, 267, 855, 513, 1895, 540, 524, 4900, 666, 849, 581, 1572, 513, 554, 867, 324, 267, 4254, 267, 1590, 518, 267, 610, 1612, 4897, 269, 2755, 649, 917, 1079, 610, 1614, 5017, 1810, 1406, 13822, 513, 26600, 267, 972, 568, 1100, 1305, 1297, 540, 5017, 2877, 547, 1289, 513, 1895, 513, 26600, 267, 543, 621, 1419, 5673, 593, 741, 1514, 2623, 630, 273, 1916, 3963, 798, 1178, 1188, 956, 29677, 524, 4900, 888, 5445, 3335, 798, 713, 538, 606, 4674, 547, 5397, 2476, 1761, 11975, 689, 513, 9960, 8513, 267, 513, 9566, 610, 1762, 267, 610, 513, 1875, 3691, 5338, 1753, 2039, 269, 5871, 4254, 1499, 1331, 7105, 1228, 525, 267, 5707, 332, 823, 267, 4622, 18346, 267, 3109, 18346, 267, 1178, 1188, 956, 267, 795, 904, 267, 543, 524, 4900, 269, 0, 268, 4855, 513, 20417, 454, 268, 3733, 20417, 29791, 454, 268, 10812, 3004, 2812, 454, 268, 6168, 2974, 454, 268, 5192, 12833, 9407, 454, 7212, 4092, 1369, 2653, 3914, 540, 519, 6115, 267, 667, 5861, 1421, 1558, 549, 1858, 267, 519, 4095, 10361, 12565, 20417, 538, 7013, 15930, 4667, 2484, 6569, 689, 519, 646, 8157, 10605, 540, 4683, 1272, 269, 634, 476, 1724, 28902, 21490, 7841, 13652, 559, 12599, 7258, 524, 872, 802, 543, 998, 18137, 28870, 2066, 8176, 6019, 689, 519, 4884, 540, 4095, 10361, 593, 519, 8000, 558, 659, 5211, 547, 519, 24654, 2146, 540, 6519, 26111, 563, 763, 13009, 5205, 513, 5449, 16456, 1899, 3710, 538, 476, 4489, 279, 547, 3560, 24101, 13807, 625, 547, 519, 772, 2529, 269, 13108, 779, 9604, 9744, 3710, 593, 519, 4095, 10361, 25345, 6772, 8504, 519, 8000, 558, 659, 5211, 269, 634, 9744, 267, 4171, 2012, 543, 5692, 814, 4957, 936, 519, 1296, 267, 1869, 6818, 267, 855, 519, 16456, 23725, 528, 568, 1100, 3476, 2877, 543, 729, 11843, 547, 8176, 6019, 896, 519, 4972, 540, 519, 25181, 779, 8549, 14924, 547, 20088, 5358, 269, 634, 9456, 1439, 540, 519, 13009, 8118, 538, 476, 1220, 280, 563, 763, 13009, 6238, 593, 4223, 1154, 569, 22971, 2282, 519, 19235, 540, 519, 25220, 17183, 2782, 11071, 4741, 267, 513, 9744, 602, 3893, 922, 1376, 538, 476, 6245, 271, 607, 513, 9604, 3490, 269, 634, 4884, 540, 4095, 10361, 8057, 909, 1472, 519, 3490, 543, 729, 11368, 538, 476, 4572, 271, 269, 10871, 3401, 2161, 519, 4884, 779, 2012, 568, 1034, 2693, 6508, 689, 519, 25345, 1141, 519, 4884, 18795, 630, 4385, 607, 519, 4095, 10361, 4133, 264, 543, 519, 1325, 12455, 638, 1014, 9082, 945, 2899, 5030, 1934, 269, 634, 1858, 779, 7087, 2146, 814, 21936, 539, 585, 519, 2012, 547, 581, 4957, 267, 2705, 267, 7682, 532, 602, 621, 782, 26360, 547, 5208, 1102, 21719, 593, 873, 538, 1296, 2250, 563, 2467, 779, 1100, 18736, 693, 519, 13009, 3650, 593, 4223, 1154, 569, 10158, 269, 20417, 3755, 666, 6288, 693, 24898, 19159, 5244, 610, 22810, 5682, 5244, 267, 827, 476, 271, 269, 274, 13304, 5087, 540, 519, 13009, 3650, 267, 543, 1246, 4191, 2066, 4095, 10361, 23681, 270, 13270, 476, 13975, 547, 519, 13009, 3650, 563, 23175, 532, 7532, 1189, 267, 519, 13009, 3762, 519, 4884, 543, 10596, 513, 2647, 268, 13449, 2070, 540, 519, 19126, 4478, 20917, 1177, 2674, 15880, 267, 513, 29815, 776, 540, 519, 8000, 558, 659, 5211, 543, 513, 11327, 9960, 1609, 4231, 585, 27436, 3165, 269, 634, 13009, 849, 10596, 1079, 824, 29815, 2456, 267, 6196, 19716, 14840, 543, 30926, 15880, 267, 607, 1134, 607, 1614, 7320, 2359, 543, 2825, 2127, 269, 1744, 17369, 31991, 8436, 949, 5544, 3552, 2881, 12399, 267, 13650, 267, 1200, 976, 267, 24052, 32608, 267, 19838, 28905, 267, 543, 513, 3099, 540, 1216, 325, 25717, 689, 519, 13009, 269, 16819, 2914, 520, 7129, 723, 4857, 5176, 476, 5611, 1114, 2249, 540, 5017, 2059, 519, 23725, 528, 563, 763, 13009, 2306, 513, 6366, 543, 1419, 2786, 2196, 547, 6519, 26111, 593, 513, 476, 1015, 20356, 17253, 21490, 2619, 609, 6371, 344, 17525, 5781, 9738, 676, 519, 10315, 269, 1411, 3580, 1780, 513, 561, 1176, 11432, 693, 645, 17056, 18718, 10003, 827, 476, 276, 269, 276, 5195, 856, 689, 4095, 10361, 267, 855, 1034, 540, 519, 8905, 568, 536, 23912, 676, 7733, 543, 3484, 268, 1633, 269, 31453, 585, 18736, 693, 3444, 30030, 543, 17573, 15409, 30079, 267, 972, 616, 1100, 2533, 630, 7945, 607, 1426, 264, 2394, 596, 3914, 6519, 26111, 267, 1141, 972, 568, 18736, 693, 519, 13009, 3650, 563, 15575, 344, 8387, 616, 4867, 4058, 606, 10137, 7532, 547, 24806, 6807, 602, 1223, 5595, 519, 13009, 779, 3259, 543, 1921, 621, 547, 519, 8422, 3502, 577, 20417, 267, 513, 476, 1724, 28902, 13009, 602, 9843, 883, 853, 269, 6307, 779, 6019, 563, 2467, 568, 1100, 18736, 693, 519, 4223, 1154, 569, 22971, 13009, 3650, 538, 4095, 10361, 267, 855, 972, 568, 15792, 18736, 2066, 3557, 27953, 476, 13975, 693, 2901, 519, 22810, 5682, 16011, 5244, 610, 24898, 19159, 5244, 630, 6200, 16362, 27508, 28818, 1040, 1677, 1569, 713, 18736, 2603, 267, 1491, 4095, 10361, 23681, 13478, 305, 476, 13975, 5045, 689, 10783, 6115, 267, 15930, 267, 2490, 1318, 5196, 30086, 4486, 20000, 543, 1287, 2451, 5196, 16362, 27508, 28818, 269, 16952, 4095, 10361, 18736, 568, 593, 12389, 8725, 681, 323, 270, 13270, 476, 23470, 267, 476, 271, 269, 275, 13304, 7532, 540, 8316, 25079, 10003, 270, 13270, 476, 18597, 563, 303, 1046, 532, 568, 849, 2139, 1055, 645, 839, 6807, 10003, 13478, 305, 476, 26631, 5045, 540, 645, 839, 6807, 267, 593, 11894, 10830, 10003, 5087, 540, 21244, 4856, 1676, 10003, 543, 538, 6519, 26111, 267, 972, 568, 18736, 676, 519, 4095, 10361, 20417, 3650, 630, 10441, 1015, 31187, 5682, 2349, 341, 323, 267, 1063, 21388, 700, 333, 543, 8176, 9061, 532, 3220, 1070, 593, 5664, 26165, 681, 323, 630, 271, 269, 273, 13304, 5087, 540, 21244, 4856, 1676, 681, 323, 270, 13270, 476, 25375, 1070, 543, 676, 645, 839, 6807, 5244, 630, 277, 7176, 271, 645, 839, 6807, 681, 323, 676, 7605, 773, 2494, 528, 3220, 1040, 634, 6288, 568, 476, 271, 269, 276, 13304, 5087, 540, 519, 13009, 2059, 645, 839, 6807, 681, 323, 563, 9199, 559, 29791, 568, 513, 1863, 3028, 3177, 676, 681, 5661, 3562, 6874, 571, 2812, 11122, 3599, 454, 5416, 1875, 17416, 264, 543, 649, 991, 707, 1489, 256, 0, 347, 16954, 1637, 1475, 16348, 269, 276, 8536, 630, 1001, 278, 10245, 347, 25821, 640, 1475, 15996, 18699, 1315, 476, 2004, 1200, 16379, 543, 476, 6110, 18699, 1315, 476, 2004, 1200, 16379, 630, 292, 1755, 680, 1872, 267, 7392, 661, 10245, 347, 11742, 7997, 1475, 7473, 290, 266, 6734, 281, 876, 267, 4095, 270, 9802, 582, 974, 2008, 347, 539, 527, 593, 22816, 573, 1092, 2008, 305, 600, 24460, 568, 519, 476, 280, 628, 543, 2868, 5006, 3923, 538, 519, 9099, 11706, 543, 16569, 476, 3066, 1700, 1789, 2395, 269, 12356, 3728, 1169, 1554, 585, 922, 8653, 543, 1034, 14060, 786, 581, 6806, 2394, 519, 3728, 9397, 693, 546, 23677, 269, 23875, 630, 10175, 1216, 543, 13189, 264, 568, 9277, 547, 1780, 998, 519, 17534, 689, 21554, 547, 23863, 269, 6348, 5336, 639, 32093, 616, 23614, 689, 713, 267, 855, 1058, 1869, 31831, 689, 4189, 610, 6704, 538, 1857, 607, 713, 568, 2808, 1360, 791, 565, 924, 269, 11554, 3108, 616, 8519, 607, 1134, 538, 519, 9746, 1158, 269, 1401, 716, 7389, 540, 30782, 4096, 593, 2199, 24666, 7422, 543, 949, 4268, 10169, 689, 2197, 547, 2197, 269, 30782, 20147, 609, 519, 13037, 540, 661, 573, 620, 6363, 527, 337, 267, 799, 949, 2063, 1896, 2395, 267, 2356, 1614, 538, 1034, 2477, 563, 2252, 596, 2811, 4058, 547, 2951, 547, 2904, 582, 974, 1282, 30782, 267, 2015, 2542, 13488, 1782, 1282, 30782, 563, 9802, 582, 974, 729, 524, 17660, 547, 5333, 2059, 609, 519, 824, 10195, 540, 519, 1290, 528, 657, 1895, 538, 476, 7277, 274, 269, 1879, 1290, 528, 657, 20366, 585, 7115, 538, 519, 476, 3192, 271, 338, 267, 2904, 582, 974, 4956, 547, 2611, 513, 3943, 834, 3712, 29193, 2580, 2705, 519, 6532, 568, 10645, 676, 1290, 528, 657, 269, 769, 4728, 476, 1220, 280, 267, 519, 10195, 20366, 11566, 569, 630, 4817, 269, 273, 8472, 547, 1831, 5333, 781, 476, 6200, 560, 1412, 24119, 27525, 618, 262, 2500, 538, 476, 1001, 272, 269, 634, 6532, 568, 476, 4817, 260, 7332, 543, 1082, 7332, 9821, 971, 607, 21657, 18081, 267, 9099, 30816, 1876, 267, 543, 5256, 17282, 941, 28125, 267, 4352, 782, 941, 20328, 538, 13076, 609, 3943, 1876, 607, 540, 476, 1001, 272, 269, 589, 1804, 6871, 540, 519, 6532, 781, 2551, 568, 7768, 540, 10363, 30659, 689, 30240, 1290, 528, 657, 269, 6736, 1373, 513, 851, 540, 5333, 267, 1447, 982, 3368, 540, 519, 2551, 1174, 3943, 543, 1360, 1906, 3717, 3943, 2770, 1836, 563, 307, 7211, 282, 7286, 282, 3905, 267, 18519, 267, 24925, 4005, 1282, 27040, 30734, 630, 21776, 547, 2904, 5148, 3819, 4005, 568, 16830, 630, 9802, 547, 5437, 1916, 23744, 3768, 6819, 267, 609, 2620, 30635, 1149, 543, 3504, 15027, 19589, 563, 4504, 262, 21080, 3331, 492, 956, 3096, 606, 14408, 5723, 268, 22430, 289, 8484, 547, 3095, 2904, 582, 974, 547, 1323, 329, 537, 534, 543, 5651, 18223, 1896, 2053, 513, 3018, 563, 763, 3119, 2823, 568, 667, 5633, 3716, 17844, 269, 12113, 787, 3028, 547, 1323, 329, 537, 534, 543, 9835, 324, 1290, 648, 568, 26742, 19631 ]

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

[ 519, 3483, 540, 713, 1353, 729, 547, 1020, 606, 5316, 1081, 540, 7292, 270, 30710, 1072, 13103, 630, 732, 24863, 264, 4336, 513, 13418, 3732, 540, 15938, 2852, 1053, 630, 333, 815, 476, 275, 2537, 264, 693, 2185, 4571, 13523, 563, 1001, 279, 268, 277, 268, 1556, 1620, 7292, 1299, 6803, 13103, 829, 519, 524, 26501, 781, 476, 1001, 276, 1072, 1867, 267, 5198, 568, 513, 1514, 4020, 6766, 676, 513, 1950, 1305, 540, 2188, 20357, 540, 519, 6988, 543, 7411, 538, 12497, 1944, 543, 10747, 5198, 267, 607, 1134, 607, 519, 2810, 6041, 540, 7292, 543, 6803, 1016, 25364, 538, 519, 8087, 2829, 267, 7292, 8760, 269, 476, 1001, 277, 268, 275, 268, 2918, 513, 1804, 1560, 540, 1382, 14439, 5812, 7292, 543, 6803, 13103, 602, 2291, 538, 1072, 1416, 16113, 267, 519, 20576, 540, 4915, 779, 1867, 21376, 269, 476, 1001, 275, 268, 272, 268, 279, 533, 272, 281, 575, 323, 342, 14774, 543, 1126, 1072, 4760, 630, 332, 659, 328, 264, 6032, 278, 5379, 2173, 659, 328, 268, 29121, 11260, 27095, 5324, 476, 1691, 267, 476, 1220, 274, 476, 1691, 281, 7918, 2511, 19509, 548, 4528, 795, 2317, 476, 2420, 267, 476, 1220, 273, 7292, 13103, 538, 563, 28893, 22988, 616, 23948, 730, 538, 1533, 30813, 2066, 519, 2197, 693, 811, 982, 2947, 2053, 519, 2557, 540, 16543, 267, 543, 1224, 811, 1547, 476, 1220, 276, 268, 274, 268, 272, 7292, 13103, 538, 9019, 936, 942, 2992, 28836, 11444, 547, 519, 1699, 1804, 7292, 13103, 538, 1072, 519, 10821, 5834, 540, 19052, 22988, 568, 1164, 543, 10058, 267, 543, 519, 1644, 31716, 538, 8378, 5054, 267, 14227, 6381, 267, 543, 2564, 1416, 616, 1271, 2188, 269, 476, 1001, 278, 268, 273, 268, 1015, 2551, 1072, 2877, 7459, 547, 2569, 7292, 270, 30710, 13103, 538, 1072, 30602, 678, 13275, 338, 3771, 10542, 6280, 1130, 24809, 269, 634, 4099, 585, 3053, 732, 14223, 267, 568, 513, 3084, 18758, 267, 1875, 4820, 16388, 1876, 3919, 602, 2488, 2069, 267, 14223, 543, 3656, 6351, 547, 948, 4587, 1004, 543, 1004, 609, 9124, 3489, 4023, 1569, 547, 3053, 732, 543, 2298, 1072, 1416, 269, 18601, 7292, 543, 6803, 13103, 568, 513, 6249, 9846, 1459, 538, 524, 329, 329, 337, 779, 14245, 543, 12326, 2630, 616, 513, 1906, 2200, 524, 329, 329, 337, 814, 2919, 547, 269, 1001, 279, 268, 277, 268, 279, 476, 272, 4227, 7292, 543, 6803, 1072, 13103, 14656, 519, 7934, 9886, 1982, 7662, 585, 3156, 678, 17304, 1948, 281, 476, 1691, 268, 24879, 3498, 4808, 535, 344, 476, 1001, 275, 268, 1001, 276, 269, 476, 1001, 278, 268, 1556, 268, 1626, 7114, 7292, 543, 6803, 13103, 538, 1480, 2533, 513, 12497, 5943, 543, 3332, 2689, 1382, 1867, 6710, 267, 13438, 267, 543, 519, 1514, 3106, 2121, 269, 476, 1220, 277, 268, 274, 268, 1704, 1863, 2407, 17856, 630, 23486, 264, 1923, 519, 1297, 540, 7292, 270, 30710, 12102, 1453, 786, 9765, 519, 1297, 540, 1875, 2000, 520, 3626, 3043, 1453, 538, 519, 8087, 2829, 676, 476, 10711, 271, 267, 855, 2370, 568, 1634, 827, 7292, 270, 30710, 13103, 538, 3461, 3106, 267, 3226, 950, 621, 269, 476, 1001, 272, 268, 277, 268, 280, 519, 4099, 585, 2146, 3435, 3040, 4058, 1299, 2962, 3040, 5104, 569, 267, 476, 1001, 271, 476, 1321, 7292, 270, 30710, 1072, 13103, 538, 22583, 19315, 1470, 676, 3675, 324, 513, 3062, 3609, 543, 4058, 12314, 676, 1665, 521, 16226, 267, 943, 323, 563, 1001, 279, 268, 275, 268, 275, 5087, 1286, 565, 2088, 1072, 9698, 1867, 476, 1001, 279, 3040, 7292, 543, 6803, 1072, 13103, 538, 5087, 1286, 565, 2088, 476, 273, 1620, 269, 476, 1001, 276, 268, 277, 268, 1839, 536, 1066, 22974, 4099, 585, 5126, 4227, 7292, 543, 6803, 13103, 538, 795, 5661, 7840, 585, 522, 5632, 561, 2259, 795, 612, 3821, 552, 698, 4802, 543, 546, 1415, 16279, 1151, 14137, 269, 15448, 538, 4008, 543, 7292, 270, 30710, 13103, 538, 3928, 540, 16906, 946, 267, 2834, 5230, 8398, 21288, 6704, 267, 543, 17089, 946, 281, 6502, 476, 1691, 547, 476, 3953, 563, 1001, 279, 268, 274, 268, 279, 2962, 689, 519, 1647, 2443, 19353, 2443, 547, 2569, 7292, 270, 30710, 31716, 538, 1416, 281, 1210, 519, 968, 11155, 3151, 20617, 892, 5859, 1996, 1970, 17032, 1416, 607, 513, 2203, 585, 5466, 7292, 270, 30710, 13103, 538, 1072, 1416, 269, 715, 322, 3841, 568, 513, 1895, 540, 7803, 5126, 8639, 1765, 718, 7255, 827, 7292, 543, 6803, 13103, 538, 519, 7803, 543, 11174, 5126, 1949, 269, 589, 1249, 6656, 602, 6257, 519, 11841, 543, 2669, 3928, 585, 5697, 11871, 1851, 7292, 543, 6803, 2516, 2713, 538, 519, 8087, 2829, 269, 476, 1001, 279, 268, 273, 268, 278, 4622, 10315, 7292, 29373, 1239, 562, 4912, 476, 1001, 276, 14344, 602, 7292, 543, 6803, 13103, 2066, 519, 8087, 2829, 543, 1267, 538, 19018, 622, 6414, 269, 0, 19669, 11082, 27876, 883, 7187, 4993, 538, 476, 7277, 279, 1813, 547, 519, 4993, 7108, 27538, 267, 2810, 519, 1875, 268, 24465, 2551, 540, 4993, 689, 476, 1724, 267, 1822, 547, 1134, 936, 476, 4968, 267, 1822, 538, 2370, 811, 982, 513, 8717, 269, 634, 6727, 27614, 540, 19379, 543, 13896, 593, 1283, 540, 519, 5176, 476, 4968, 267, 1822, 7111, 4892, 2713, 538, 519, 1858, 2269, 1441, 2230, 543, 2200, 563, 1103, 476, 6977, 272, 267, 519, 19742, 17294, 540, 4993, 10294, 267, 834, 6546, 513, 2112, 540, 608, 3410, 1588, 786, 3136, 547, 581, 530, 3042, 267, 2394, 519, 4095, 5198, 3587, 17255, 267, 1590, 581, 4397, 1701, 901, 20772, 4166, 1336, 922, 1259, 883, 1876, 269, 1323, 476, 6977, 272, 15424, 2268, 711, 1152, 5795, 13896, 519, 1318, 547, 10891, 561, 2106, 577, 4254, 338, 547, 6146, 12075, 267, 855, 4847, 873, 547, 10505, 741, 9276, 547, 519, 2229, 269, 1635, 476, 6977, 273, 519, 1533, 1185, 17101, 936, 513, 2929, 9489, 538, 971, 6811, 563, 4002, 2904, 476, 1428, 267, 476, 6977, 275, 267, 3670, 16713, 2861, 17701, 3366, 676, 623, 15127, 1306, 321, 650, 5949, 2390, 18471, 9503, 1247, 10478, 585, 513, 8905, 1063, 1284, 11232, 6807, 267, 606, 9703, 5599, 4099, 267, 543, 8891, 531, 6373, 267, 606, 1271, 5757, 2823, 269, 18471, 9503, 729, 538, 606, 9678, 267, 2352, 547, 1569, 3148, 540, 519, 11076, 16186, 267, 3850, 621, 547, 2611, 5266, 2150, 31189, 676, 13896, 543, 19379, 547, 713, 1448, 269, 2755, 15385, 513, 803, 20760, 267, 519, 17701, 19481, 3350, 538, 519, 6371, 543, 7691, 602, 12075, 941, 538, 519, 14860, 563, 2026, 321, 650, 7150, 267, 834, 2171, 4312, 2097, 513, 1279, 1259, 689, 16713, 547, 12398, 713, 1747, 1862, 606, 262, 581, 2481, 2740, 952, 530, 24513, 4802, 262, 6371, 1412, 1638, 1832, 721, 2476, 256, 27707, 513, 1700, 3835, 540, 586, 518, 9604, 1765, 933, 262, 12584, 616, 979, 514, 262, 538, 30882, 763, 5428, 8399, 539, 547, 513, 524, 9127, 5127, 1141, 789, 11402, 513, 1804, 11175, 540, 962, 25431, 269, 3414, 519, 4999, 540, 9120, 14049, 787, 267, 9640, 267, 543, 5059, 8247, 267, 519, 5428, 7166, 5111, 476, 2412, 540, 519, 1004, 563, 10468, 2416, 1306, 321, 650, 6862, 1022, 540, 1010, 8284, 13896, 941, 9901, 609, 1022, 23659, 29342, 766, 585, 11318, 519, 1875, 628, 17816, 12075, 269, 1306, 321, 650, 18423, 593, 547, 6968, 519, 2244, 543, 5555, 3459, 32043, 6260, 543, 19338, 962, 25431, 2021, 547, 581, 4421, 547, 1875, 268, 24465, 2367, 3544, 540, 519, 14860, 269, 1306, 321, 650, 4421, 476, 3374, 2021, 538, 713, 6073, 676, 476, 6977, 276, 563, 18814, 547, 18471, 9503, 781, 6552, 4087, 267, 621, 2968, 513, 10278, 585, 824, 12075, 519, 13896, 1185, 7142, 1055, 741, 3338, 267, 543, 4166, 922, 5065, 2551, 2220, 8215, 547, 476, 736, 267, 1822, 267, 1247, 519, 6519, 13896, 538, 519, 1858, 7283, 513, 1906, 18797, 269, 2060, 741, 13671, 543, 7925, 2990, 630, 531, 784, 609, 519, 476, 6977, 271, 4993, 1876, 834, 8002, 585, 519, 6554, 543, 10466, 540, 12075, 2437, 799, 3656, 1242, 519, 32043, 6260, 543, 7142, 1425, 3363, 540, 12075, 676, 6519, 1305, 1562, 1070, 10553, 986, 1749, 1996, 519, 18471, 9503, 12075, 2968, 1455, 269, 4329, 4655, 4166, 3366, 547, 22681, 6285, 5921, 547, 5397, 519, 12075, 689, 519, 14860, 630, 5408, 18471, 9503, 5590, 339, 2401, 7136, 659, 637, 540, 476, 6977, 277, 910, 476, 6977, 280, 543, 21780, 665, 3626, 2782, 1040, 1635, 476, 5908, 271, 782, 6967, 962, 25431, 12075, 1185, 1044, 7142, 883, 31681, 269, 769, 519, 476, 6642, 271, 338, 267, 13896, 3459, 2921, 936, 519, 30063, 3338, 799, 1128, 580, 730, 1776, 834, 8705, 257, 630, 5408, 18471, 9503, 2782, 1070, 4611, 538, 519, 2417, 2530, 540, 2244, 543, 2729, 676, 519, 962, 25431, 12075, 563, 268, 18471, 9503, 5590, 339, 2401, 7136, 659, 637, 540, 476, 6977, 277, 910, 476, 6977, 280, 454, 268, 21780, 665, 3626, 2782, 454, 268, 18471, 9503, 2782, 454, 268, 5903, 540, 4095, 2527, 659, 637, 454, 268, 30323, 337, 321, 965, 476, 1960, 279, 267, 533, 269, 476, 279, 454, 268, 17394, 476, 5908, 275, 267, 533, 269, 476, 2764, 454, 268, 4260, 11594, 540, 519, 22694, 1155, 540, 519, 3557, 540, 4993, 476, 6977, 272, 267, 533, 269, 476, 1428, 563, 268, 29336, 534, 1723, 476, 2735, 272, 454, 268, 8496, 2917, 476, 1220, 279, 267, 6032, 269, 476, 24062, 1700, 19054, 454, 268, 1306, 321, 650, 476, 3192, 276, 267, 6032, 269, 476, 1240, 1700, 866, 454, 268, 8496, 2917, 476, 1220, 279, 267, 6032, 269, 476, 24062, 1700, 19054, 454, 268, 6022, 1067, 476, 6642, 271, 267, 6032, 269, 476, 3393, 280, 267, 476, 276, 4817, 1700, 6795, 277, 454, 268, 1306, 321, 650, 476, 3192, 276, 267, 6032, 269, 476, 4097, 1700, 3374, 267, 476, 6246, 454, 268, 6465, 2373, 540, 4993, 476, 6977, 271, 267, 533, 269, 476, 2412, 279, 268, 25148, 563, 268, 29336, 534, 1723, 476, 2735, 272, 267, 533, 269, 476, 2412, 267, 11820, 454, 268, 670, 4669, 5964, 476, 2735, 279, 267, 6032, 269, 476, 15782, 1700, 14530, 454, 268, 1306, 321, 650, 267, 7671, 282, 26396, 2917, 267, 14803, 548, 630, 3192, 276, 1040, 634, 7831, 540, 519, 4639, 269, 1715, 3840, 563, 268, 29336, 534, 1723, 267, 22118, 6229, 282, 2142, 731, 267, 6480, 548, 630, 1960, 279, 1040, 2637, 17462, 543, 966, 754, 24297, 267, 519, 18471, 9503, 12668, 540, 3345, 4993, 269, 20588, 563, 268, 670, 4669, 5964, 267, 15751, 630, 2735, 279, 1040, 4095, 27834, 593, 519, 4993, 13571, 1512, 269, 1715, 670, 13273, 563, 268, 4260, 11594, 540, 519, 22694, 1155, 540, 519, 3557, 540, 4993, 693, 922, 5822, 29140, 630, 27751, 1040, 5842, 8277, 269, 476, 6977, 272, 563, 268, 17394, 267, 9478, 630, 5908, 275, 1040, 15510, 540, 519, 2136, 2276, 538, 476, 5908, 271, 269, 6115, 267, 9823, 281, 7330, 6554, 563, 268, 8496, 2917, 267, 18148, 630, 1220, 279, 1040, 834, 30210, 781, 962, 25431, 12075, 281, 20223, 2637, 17462, 538, 7111, 1977, 3778, 2668, 5375, 8466, 22588, 569, 269, 476, 4375, 281, 476, 24062, 1700, 28590, 563, 268, 6022, 1067, 267, 10370, 2006, 630, 6642, 271, 1040, 3778, 540, 21780, 665, 3626, 269, 5842, 12770, 563, 268, 30323, 337, 321, 965, 267, 29346, 630, 1960, 279, 1040, 17963, 540, 7108, 281, 634, 4993, 7108, 27538, 543, 519, 1977, 13780, 269, 20588, 563, 268, 6465, 2373, 540, 4993, 267, 10426, 539, 693, 519, 3689, 29140, 540, 519, 22694, 1155, 630, 27751, 1040, 5842, 8277, 269, 476, 6977, 271, 563, 268, 5682, 267, 1234, 343, 667, 1421, 834, 24465, 6816, 7136, 21492, 281, 589, 5463, 1228, 540, 15638, 31327, 547, 2637, 17462, 543, 31203, 540, 519, 654, 12011, 1824, 267, 476, 6977, 271, 268, 5908, 271, 1701, 18947, 29519, 1957, 269, 670, 3518, 1245, 339, 3557, 2160, 267, 476, 1220, 273, 563, 268, 8496, 2917, 267, 18148, 269, 1323, 1977, 2637, 17462, 269, 23171, 2160, 4964, 267, 476, 1001, 277, 563, 268, 30323, 1372, 267, 32515, 269, 834, 7049, 17462, 543, 6987, 10407, 1701, 3345, 11076, 4750, 267, 5988, 476, 1839, 267, 476, 1001, 271, 281, 1015, 268, 1704, 269, 18329, 4528, 281, 2637, 17462, 543, 6987, 10407, 454, 268, 1530, 920, 560, 267, 5261, 645, 269, 630, 2735, 279, 1040, 834, 297, 541, 2692, 324, 781, 2782, 2668, 2836, 4613, 2103, 269, 476, 277, 630, 277, 2567, 476, 1626, 1700, 2420, 269, 0, 10454, 15678, 568 ]

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

[ 543, 4213, 610, 1379, 532, 8484, 267, 3154, 18434, 3136, 547, 5397, 6639, 7760, 543, 3565, 547, 513, 4264, 2104, 563, 14532, 540, 13937, 5695, 321, 710, 454, 1103, 3685, 540, 13937, 5695, 321, 710, 454, 763, 3154, 17081, 2599, 814, 513, 4241, 1686, 602, 7389, 1394, 547, 519, 476, 272, 560, 2540, 5084, 950, 15552, 540, 28641, 267, 606, 3504, 5259, 11653, 267, 11827, 519, 513, 324, 30649, 850, 269, 901, 3926, 1031, 9252, 1379, 547, 17967, 513, 12106, 267, 11744, 519, 2596, 3741, 540, 513, 17081, 269, 1717, 267, 621, 7012, 1406, 2394, 519, 476, 736, 628, 2540, 602, 3154, 17081, 2029, 5963, 3576, 1055, 563, 763, 8798, 540, 519, 3154, 17081, 607, 649, 917, 621, 2221, 568, 20295, 547, 11184, 7671, 1733, 8077, 267, 513, 3703, 11653, 269, 769, 519, 476, 4350, 271, 338, 267, 1733, 8077, 2919, 519, 1101, 4052, 15191, 2599, 267, 799, 8246, 513, 3154, 17081, 547, 5352, 1379, 269, 3571, 14262, 960, 9788, 519, 5748, 585, 519, 1646, 540, 3154, 18434, 585, 1585, 3156, 267, 1519, 1379, 5108, 543, 18229, 563, 294, 553, 18434, 7500, 593, 519, 6240, 540, 14291, 519, 1648, 540, 513, 13576, 3154, 883, 7344, 1648, 269, 1358, 2874, 540, 1896, 1883, 3334, 267, 1519, 513, 13674, 12068, 267, 513, 3154, 26468, 267, 543, 513, 17081, 269, 634, 13674, 12068, 568, 1141, 4492, 568, 14616, 267, 2870, 1164, 25774, 543, 1164, 27529, 9362, 269, 1452, 9362, 1287, 1780, 998, 519, 17081, 267, 4929, 621, 547, 17967, 543, 5352, 1379, 563, 3080, 540, 519, 1713, 5383, 540, 3154, 17081, 2029, 568, 922, 1164, 4398, 269, 13937, 18434, 666, 3035, 31931, 540, 909, 547, 476, 2568, 9077, 1818, 873, 606, 10694, 4781, 585, 1379, 5108, 269, 3958, 267, 789, 666, 2196, 593, 513, 3099, 540, 10173, 267, 1519, 2067, 3154, 267, 1818, 873, 11684, 543, 22537, 547, 1114, 1648, 2959, 563, 294, 553, 18434, 1265, 3156, 538, 1585, 6080, 267, 1519, 1379, 2371, 267, 18229, 267, 543, 4853, 3157, 269, 769, 1379, 5108, 267, 3154, 17081, 1379, 2371, 616, 1031, 547, 3132, 5201, 7561, 543, 28761, 269, 1452, 2371, 1419, 6451, 3002, 6051, 9252, 18402, 547, 11694, 519, 13345, 540, 1648, 543, 2333, 2949, 4398, 563, 1103, 519, 18229, 2872, 267, 3154, 18434, 616, 4122, 1031, 538, 15191, 9817, 547, 4412, 601, 8484, 269, 634, 1164, 1379, 3562, 27954, 5223, 540, 3154, 18434, 2306, 873, 4998, 585, 18229, 267, 7175, 8484, 547, 3035, 1164, 11250, 543, 15820, 269, 589, 3266, 268, 1457, 29719, 18434, 267, 6508, 689, 15191, 2599, 2029, 267, 616, 849, 1031, 538, 4853, 3156, 1141, 11741, 543, 3608, 1379, 5108, 568, 2838, 563, 31010, 543, 5665, 3154, 18434, 2154, 2834, 5826, 543, 5464, 269, 5695, 321, 710, 9023, 1949, 616, 2629, 547, 2061, 23986, 908, 543, 2327, 6099, 2773, 269, 3958, 267, 4492, 4616, 543, 9688, 5434, 616, 1271, 9270, 538, 17081, 5106, 267, 607, 4398, 543, 2825, 1764, 616, 1883, 4145, 563, 1103, 3932, 267, 519, 8798, 540, 519, 3154, 17081, 19117, 1379, 5108, 543, 18229, 269, 13937, 17081, 2029, 814, 2097, 513, 1279, 1259, 2094, 922, 27299, 267, 543, 621, 5170, 547, 11457, 267, 5356, 3608, 543, 6325, 3435, 585, 1585, 3156, 269, 6787, 621, 779, 1379, 532, 513, 15191, 2599, 610, 10451, 5201, 267, 3154, 18434, 1404, 513, 4105, 1909, 538, 938, 2413, 1158, 563, 15253, 7859, 540, 13937, 5695, 321, 710, 454, 294, 553, 18434, 616, 513, 4105, 851, 540, 1585, 6080, 267, 1519, 18229, 543, 1379, 5108, 269, 1358, 616, 1634, 585, 741, 4398, 543, 10727, 538, 14291, 4492, 883, 7344, 1648, 269, 2913, 779, 2263, 519, 1883, 3334, 602, 1118, 909, 513, 3154, 17081, 2599, 563, 294, 553, 5695, 321, 710, 5422, 538, 589, 7878, 454, 1103, 519, 7706, 540, 18229, 267, 3154, 17081, 9817, 1404, 513, 2629, 1909, 538, 1379, 532, 8484, 269, 1452, 9817, 616, 849, 4122, 5219, 547, 607, 15191, 9817, 269, 1358, 960, 676, 5373, 538, 2011, 267, 735, 7675, 621, 267, 543, 1287, 12318, 532, 4492, 547, 5352, 1164, 25774, 543, 1164, 268, 767, 6290, 9362, 269, 634, 3196, 3812, 676, 519, 9362, 4412, 1564, 519, 8484, 4464, 267, 3246, 519, 2556, 19876, 585, 8184, 563, 294, 553, 5695, 321, 710, 3281, 31395, 454, 763, 3154, 17081, 26468, 568, 3743, 585, 5373, 538, 543, 735, 7675, 19355, 2011, 269, 898, 4249, 513, 4105, 1909, 538, 519, 2949, 4398, 540, 519, 17081, 269, 634, 26468, 5161, 540, 2789, 5933, 267, 1142, 16030, 513, 1305, 540, 15914, 19059, 543, 19335, 642, 6951, 269, 1306, 519, 19059, 17967, 267, 789, 14771, 519, 2011, 267, 2810, 922, 2604, 543, 2837, 1354, 621, 13788, 519, 13674, 12068, 563, 294, 553, 5695, 321, 710, 15585, 528, 454, 763, 3154, 17081, 23301, 267, 849, 1634, 607, 519, 17081, 8868, 267, 568, 513, 2565, 5057, 602, 21555, 1648, 689, 519, 1164, 25774, 543, 1164, 27529, 9362, 3812, 1282, 13674, 269, 634, 23301, 568, 4448, 547, 519, 26468, 543, 568, 9141, 676, 519, 9750, 9362, 269, 1306, 519, 9362, 1780, 936, 519, 23301, 19059, 267, 789, 4483, 741, 1648, 267, 4929, 519, 23301, 547, 17967, 269, 901, 24364, 5163, 568, 1287, 1031, 547, 5397, 1585, 5007, 3457, 267, 971, 607, 18402, 610, 4412, 25527, 563, 294, 553, 5695, 321, 710, 6513, 3590, 454, 2414, 2327, 6099, 2773, 543, 2922, 5106, 267, 3154, 18434, 7048, 593, 10427, 1852, 1949, 269, 1452, 1949, 6895, 543, 10038, 1585, 6724, 267, 971, 607, 4492, 2095, 267, 2011, 6981, 267, 543, 9688, 2837, 269, 1635, 11179, 14577, 891, 6724, 267, 519, 1852, 1062, 15387, 519, 17081, 779, 4398, 543, 11151, 1022, 1761, 3441, 610, 16132, 563, 294, 553, 5695, 321, 710, 1401, 9151, 454, 763, 3154, 17081, 9688, 568, 519, 3803, 3942, 540, 519, 17081, 779, 5106, 269, 2991, 519, 9362, 723, 5293, 998, 519, 23301, 267, 789, 14827, 519, 17081, 998, 519, 9688, 3296, 269, 634, 9688, 9362, 616, 3335, 5393, 3905, 543, 2270, 513, 1713, 2179, 540, 1648, 269, 769, 930, 3156, 267, 971, 607, 5916, 4783, 1379, 2371, 267, 519, 9688, 9362, 616, 2417, 8246, 547, 5352, 3606, 1379, 998, 513, 3002, 6051, 9252, 11718, 563, 294, 553, 18434, 616, 11684, 6191, 609, 513, 2647, 2039, 540, 3156, 269, 1358, 616, 1031, 711, 1152, 538, 8484, 855, 849, 538, 1379, 2371, 267, 1141, 789, 1683, 5201, 547, 2950, 269, 11633, 3154, 18434, 267, 513, 3266, 268, 1457, 29719, 18434, 267, 543, 2067, 3154, 18434, 616, 1175, 513, 1906, 1806, 540, 519, 1114, 2010, 2139, 269, 1452, 18434, 2709, 1164, 4398, 267, 6325, 2773, 267, 543, 666, 581, 3358, 547, 1808, 2115, 563, 5804, 519, 3154, 17081, 2599, 538, 8484, 547, 519, 1852, 1949, 543, 9688, 267, 1142, 5057, 4249, 513, 2629, 1909, 538, 519, 2949, 5106, 543, 4398, 540, 519, 17081, 269, 8617, 5826, 543, 5464, 540, 891, 3334, 616, 1898, 547, 2327, 6099, 2773, 543, 7413, 4492, 4616, 269, 3958, 267, 7760, 538, 17081, 2029, 3136, 547, 2087, 4398, 267, 2569, 5434, 267, 543, 3986, 2949, 17081, 1648, 3977, 563, 1103, 3932, 267, 3154, 18434, 616, 1950, 6191, 609, 1585, 3334, 2324, 1927, 547, 6460, 4492, 883, 7344, 1648, 269, 4256, 3156, 616, 3309, 267, 8151, 689, 1379, 532, 8484, 547, 10451, 5201, 269, 1635, 1620, 519, 1114, 3334, 543, 741, 3252, 267, 649, 666, 5660, 519, 7415, 4702, 3297, 3154, 17081, 2029, 563, 22998, 540, 13937, 5695, 321, 710, 454, 294, 553, 18434, 616, 513, 4105, 5057, 540, 1585, 6080, 267, 1519, 1379, 5108, 543, 18229, 269, 1358, 616, 1634, 585, 741, 4398, 543, 10727, 538, 14291, 4492, 883, 7344, 1648, 269, 2913, 779, 5490, 883, 519, 4241, 1158, 540, 3154, 17081, 9817, 543, 2263, 875, 789, 960, 267, 519, 3154, 17081, 4783, 267, 543, 519, 1184, 540, 4358, 513, 3154, 17081, 563, 1692, 13937, 5695, 321, 710, 5422, 3718, 454, 294, 553, 17081, 9817, 267, 849, 1634, 607, 13674, 18434, 267, 7500, 593, 519, 6240, 540, 519, 645, 2001, 2023, 4783, 269, 901, 4783, 3322, 2185, 1292, 3157, 281, 13496, 267, 13674, 267, 7269, 267, 543, 9688, 269, 634, 2599, 5161, 540, 1896, 1883, 3334, 267, 1142, 4730, 513, 2629, 1909, 538, 519, 2949, 5106, 563, 3080, 540, 519, 3119, 3334, 568, 519, 3154, 26468, 267, 799, 703, 1389, 19355, 2011, 543, 14771, 525, 621, 1354, 10024, 519, 13674, 12068, 269, 634, 19316, 2011, 568, 1287, 6404, 609, 4492, 543, 5337, 1243, 538, 519, 13674, 12068, 267, 2870, 513, 1164, 27529, 543, 1164, 25774, 3154, 7848, 269, 901, 13674, 1184, 13847, 513, 16854, 2179, 540, 1648, 563, 763, 9750, 9362, 689, 519, 13674, 12068, 2095, 998, 519, 17081, 267, 4929, 519, 17081, 19059, 547, 17967, 269, 901, 10047, 11479, 519, 26468, 543, 824, 17960, 267, 971, 607, 18402, 610, 4412, 25527, 267, 4470, 593, 519, 3498, 269, 634, 9688, 9362, 616, 1287, 30461, 689, 519, 2599, 267, 6721, 19876, 610, 10451, 1379, 563, 294, 553, 17081, 9817, 616, 1419, 3379, 547, 15191, 9817, 1813, 547, 741, 2147, 2324, 3741, 269, 1717, 267, 3154, 18434, 616, 5097, 1031, 585, 1379, 5108, 267, 1247, 15191, 9817, 616, 2966, 585, 8484, 27668, 563, 294, 553, 5695, 321, 710, 18888, 454, 763, 3154, 17081, 4783, 5161, 540, 2185, 1292, 5933, 281, 6981, 267, 13496, 267, 13674, 267, 543, 9688, 269, 2913, 779, 1491, 513, 6251, 1413, 693, 1142, 3942, 912, 4504, 820, 281, 634, 3154, 17081, 2599, 703, 1389, 19355, 2011, 998, 519, 26468, 267, 799, 4679, 519, 2011, 2604, 543, 2837, 563, 15253, 1833, 281, 634, 19316, 2011, 568, 1287, 9859, 883, 519, 13674, 12068, 267, 1141, 621, 30012, 609, 4492, 543, 25457, 13674, 269, 901, 1184, 3648, 4679, 519, 2837, 543, 2604, 540, 519, 9362, 563, 23382, 755, 542, 281, 634, 4492, 25101, 7848, 568, 5337, 1243, 267, 2870, 513, 6024, 13674, 1184, 269, 634, 1164, 27529, 9362, 3812, 1282, 13674, 5397, 519, 17081, 19059, 563, 2750, 9151, 281, 634, 9688, 9362, 14827, 519, 17081, 267, 16089, 1648, 543, 10451, 1379, 269, 769, 930, 3156, 267, 519, 9688, 9362, 666, 581, 8246, 2417, 538, 513, 3002, 6051, 9252, 11718, 547, 3132, 3606, 1648, 563, 28275, 513, 13937, 5695, 321, 710, 454, 28275, 513, 3154, 17081, 3322, 513, 5402, 32427, 730, 5311, 540, 2621, 547, 2327, 513, 5347, 543, 2922, 5106, 269, 3371, 616, 519, 2489, 3268, 3238, 538, 4358, 513, 3154, 17081, 912, 27609, 566, 281, 6969, 4358, 519, 17081, 267, 519, 2556, 3106, 11974, 543, 24422, 616, 5342, 269, 901, 2882, 2357, 4328, 4492, 3761, 267, 10992, 19149, 566, 1949, 267, 543, 4180, 782, 3334, 616, 538, 1697, 2324, 2783, 563, 296, 3913, 819, 281, 634, 27307, 1062, 568, 15181, 267, 27510, 519, 13674, 1184, 269, 23556, 568, 22280, 883, 519, 13674, 12068, 267, 543, 519, 8141, 5337, 2572, 519, 7848, 267, 2870, 513, 6417, 18723, 563, 10907, 5120, 566, 281, 634, 17081, 568, 7930, 18965, 547, 519, 5551, 3432, 1210, 519, 25690, 5179, 610, 606, 25581, 1379, 2707, 269, 901, 2636, 519, 26468, 547, 1628, 909, 6190, 2604, 543, 25312, 563, 1805, 8494, 1436, 281, 4495, 519, 17081, 10301, 922, 5665, 3432, 267, 519, 1852, 1949, 24644, 519, 2599, 6724, 267, 4180, 6099, 2773, 543, 4398, 563, 299, 1933, 13335, 281, 2991, 32278, 267, 519, 17081, 568, 4712, 547, 3398, 519, 4452, 269, 901, 666, 581, 2944, 7930, 610, 538, 513, 1900, 3772, 6073, 267, 4470, 593, 519, 1379, 4170, 563, 294, 553, 18434, 616, 11684, 6191, 609, 1585, 3156, 267, 8151, 689, 1379, 2371, 547, 7286, 27668, 1949, 269, 4256, 4398, 267, 10727, 267, 543, 2702, 547, 2196, 593, 1114, 10173, 267, 971, 607, 2067, 3154, 267, 1118, 873, 513, 2442, 3903, 538, 519, 2872, 563, 1103, 3932, 267, 3154, 17081, 9817, 1404, 513, 2629, 1909, 538, 1379, 5108, 543, 824, 6080, 269, 4197, 741, 2324, 3741, 267, 519, 3154, 17081, 4783, 267, 543, 519, 1184, 540, 4358, 513, 3154, 17081, 2488, 3407, 4030, 883, 713, 7415, 2029, 563, 15650, 540, 13937, 5695, 321, 710, 454, 294, 553, 18434, 616, 513, 1826, 540, 4835, 13674, 2599, 602, 6460, 519, 1648, 689, 4492, 883, 7344, 1648, 269, 1358, 616, 4922, 1031, 538, 1585, 3156, 267, 1519, 1379, 5108, 267, 27668, 1949, 267, 543, 4853, 3157, 269, 2913, 779, 2263, 930, 540, 519, 1114, 2010, 540, 3154, 18434, 543, 741, 1808, 3096, 563, 19859, 13937, 5695, 321, 710, 454, 19859, 3154, 18434, 616, 1507, 8397, 1379, 18402, 602, 616, 3335, 1031, 538, 18228, 1379, 1949, 269, 1452, 11741, 18434, 616, 1634, 585, 741, 1164, 4398 ]

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

[ 513, 3099, 540, 7306, 540, 23287, 6512, 1137, 267, 3750, 11547, 3070, 267, 13811, 11746, 267, 17408, 14162, 619, 267, 513, 26282, 267, 29198, 267, 23805, 267, 8755, 7547, 267, 513, 10943, 842, 267, 543, 1608, 8533, 2603, 542, 563, 5591, 6539, 568, 2347, 1510, 930, 1106, 540, 1928, 8323, 543, 8611, 1487, 1356, 971, 607, 29469, 543, 21449, 3133, 641, 1156, 267, 606, 4550, 13611, 585, 1928, 543, 11926, 971, 607, 16481, 1575, 19745, 523, 267, 606, 4550, 7290, 8533, 585, 14711, 543, 21422, 267, 561, 1314, 2510, 543, 4550, 26817, 1551, 9996, 6646, 563, 2252, 2009, 596, 949, 849, 6999, 547, 1331, 6595, 7727, 971, 607, 1216, 1625, 4328, 7515, 267, 8755, 7547, 609, 3063, 9075, 267, 543, 513, 1591, 6049, 543, 29789, 269, 674, 4932, 288, 543, 519, 1977, 4414, 9061, 2709, 2347, 8638, 540, 3688, 596, 1058, 2015, 1519, 563, 2791, 786, 849, 991, 547, 2638, 707, 20164, 21237, 547, 5372, 1022, 3688, 16042, 741, 1163, 19418, 7389, 269, 2311, 602, 942, 267, 596, 666, 1039, 1022, 3688, 2838, 1813, 547, 1022, 2242, 538, 519, 1072, 2175, 540, 1920, 2818, 563, 15371, 596, 2322, 1927, 707, 1378, 1101, 5351, 6539, 689, 15072, 610, 7110, 835, 596, 723, 12349, 267, 596, 786, 581, 2921, 606, 1271, 1900, 547, 5965, 707, 1920, 585, 18002, 543, 2057, 3968, 563, 1607, 4199, 568, 1152, 513, 3391, 543, 1281, 711, 1683, 2564, 5796, 267, 5868, 267, 610, 2126, 269, 8550, 8488, 610, 11716, 3318, 2564, 5796, 1317, 540, 1945, 596, 723, 1224, 593, 513, 3896, 269, 1403, 596, 1589, 596, 949, 723, 513, 2564, 6595, 267, 1289, 513, 4387, 267, 3866, 476, 26605, 610, 979, 2047, 547, 513, 6413, 17073, 18740, 630, 2207, 1040, 0, 1839, 321, 269, 26652, 24439, 15917, 267, 476, 4489, 271, 454, 6524, 13629, 713, 1957, 267, 26652, 4843, 621, 547, 519, 16316, 20051, 540, 519, 24959, 5980, 540, 3013, 267, 543, 646, 11609, 1010, 2911, 609, 15810, 2592, 689, 513, 8305, 9953, 6625, 269, 2290, 540, 519, 2592, 729, 1018, 26652, 1572, 519, 968, 338, 651, 13762, 1395, 560, 4592, 640, 829, 335, 2678, 730, 676, 570, 1941, 1512, 269, 1306, 513, 9295, 547, 519, 3332, 540, 1286, 545, 1155, 519, 1967, 6913, 568, 7415, 1848, 1261, 1590, 723, 4547, 519, 2777, 1524, 950, 646, 3893, 547, 4137, 476, 280, 267, 799, 2982, 875, 519, 570, 1941, 1512, 4528, 540, 24547, 617, 1371, 1590, 723, 6410, 269, 968, 2005, 814, 1044, 6700, 602, 24963, 7186, 267, 547, 2743, 519, 4170, 540, 519, 2013, 267, 1590, 723, 8756, 539, 519, 2627, 540, 519, 3618, 543, 3177, 519, 24547, 617, 1371, 543, 922, 16167, 609, 512, 893, 338, 2507, 634, 24547, 617, 1371, 1590, 723, 6410, 538, 513, 9240, 913, 610, 513, 678, 583, 269, 901, 1522, 5310, 2272, 585, 1010, 2038, 14486, 3034, 29804, 1633, 267, 5261, 808, 269, 834, 288, 2689, 540, 930, 2487, 30852, 540, 519, 1964, 32590, 540, 10487, 1886, 617, 17878, 4540, 538, 519, 15882, 540, 519, 2136, 2276, 267, 609, 2027, 4704, 547, 602, 540, 24547, 617, 1371, 1286, 28616, 328, 538, 519, 31257, 7467, 2437, 538, 281, 1977, 7849, 626, 267, 2019, 476, 4510, 630, 4489, 271, 1070, 6032, 269, 476, 28796, 268, 27543, 269, 901, 960, 568, 851, 540, 938, 3778, 540, 3163, 14635, 267, 855, 621, 729, 10691, 3769, 538, 519, 3312, 14266, 269, 0, 18550, 476, 3066, 267, 476, 1001, 278, 910, 4728, 476, 1789, 267, 476, 1001, 278, 454, 18550, 476, 1789, 267, 476, 1001, 278, 910, 4728, 476, 4029, 267, 476, 1001, 278, 454, 19688, 476, 1839, 267, 476, 1001, 278, 910, 4989, 476, 2764, 267, 476, 1001, 278, 454, 4467, 19397, 25334, 4850, 281, 7046, 12409, 8249, 543, 918, 268, 1321, 8535, 4065, 454, 24523, 1930, 3872, 2200, 630, 302, 2207, 264, 723, 519, 1761, 547, 6445, 10616, 538, 1569, 547, 14292, 2326, 585, 918, 268, 1321, 2575, 3610, 543, 6267, 267, 543, 547, 1489, 3610, 543, 6267, 607, 1543, 15888, 543, 3523, 2209, 538, 5870, 3872, 3853, 269, 901, 1353, 7710, 519, 1699, 1533, 540, 2575, 744, 2207, 267, 519, 9458, 602, 891, 2200, 4196, 547, 4324, 267, 543, 519, 3255, 543, 2591, 3238, 538, 12561, 606, 1930, 1935, 547, 519, 1646, 540, 2575, 2069, 2200, 563, 1103, 11450, 609, 31257, 8065, 779, 1284, 650, 8535, 4659, 267, 4959, 298, 10933, 5342, 513, 1353, 547, 2708, 519, 5251, 540, 4540, 918, 268, 1321, 1930, 2575, 10070, 267, 547, 2697, 1761, 9458, 267, 543, 547, 2708, 519, 6286, 540, 2575, 744, 2207, 585, 3450, 267, 1565, 267, 543, 519, 2361, 607, 513, 2898, 269, 634, 1353, 2417, 8179, 547, 2263, 519, 2640, 543, 7496, 547, 5356, 2575, 744, 2207, 563, 763, 1353, 3238, 513, 2689, 540, 2575, 2069, 3332, 267, 2029, 267, 543, 2228, 10070, 267, 607, 1134, 607, 11042, 609, 2575, 7855, 267, 2575, 1543, 7426, 267, 543, 2575, 2069, 4966, 563, 268, 1548, 616, 519, 3056, 744, 2207, 1543, 10070, 543, 5867, 7674, 918, 268, 1321, 7855, 888, 268, 1548, 10832, 1448, 547, 513, 3747, 585, 2575, 744, 2207, 888, 268, 1215, 543, 547, 1018, 6708, 616, 3610, 4867, 1210, 2575, 744, 2207, 286, 1215, 568, 621, 1373, 1031, 7258, 4540, 3450, 2645, 543, 2200, 888, 268, 1548, 616, 2009, 3606, 946, 7653, 585, 2575, 744, 2207, 286, 1548, 616, 519, 2640, 543, 2591, 540, 946, 585, 713, 1543, 267, 543, 1018, 2010, 540, 1489, 1655, 7520, 922, 946, 888, 268, 1548, 2152, 1107, 1312, 3255, 543, 2591, 1107, 616, 6659, 676, 12561, 606, 1930, 1935, 547, 2575, 2069, 888, 268, 1548, 616, 519, 6626, 6286, 540, 2575, 744, 2207, 585, 3450, 267, 1565, 267, 543, 519, 2575, 2069, 2361, 607, 513, 2898, 286, 0, 763, 5683, 1062, 3568, 454, 268, 27801, 338, 827, 519, 2470, 540, 812, 2676, 268, 27801, 338, 827, 16431, 267, 827, 1018, 568, 1434, 610, 14909, 610, 17709, 540, 13287, 585, 922, 1378, 19160, 2676, 268, 16390, 18413, 1524, 1018, 11129, 547, 581, 2944, 543, 1018, 11129, 711, 547, 581, 2944, 267, 543, 454, 268, 7763, 1161, 602, 13141, 710, 721, 547, 3442, 519, 1318, 610, 4636, 1576, 563, 763, 2152, 16109, 827, 1018, 568, 1434, 267, 14909, 610, 17709, 540, 13287, 267, 519, 3044, 540, 22556, 543, 865, 267, 16109, 856, 540, 519, 1646, 540, 24118, 9443, 616, 519, 1292, 1641, 540, 6915, 268, 996, 923, 269, 1656, 1360, 4481, 267, 519, 3210, 540, 27454, 1143, 547, 891, 6915, 268, 25677, 2152, 568, 519, 1641, 2339, 540, 1459, 11000, 563, 2005, 568, 513, 2339, 540, 7521, 2436, 7881, 267, 2901, 6986, 610, 4294, 267, 1058, 581, 4984, 6954, 610, 568, 621, 2141, 1759, 593, 3909, 610, 21042, 9713, 29625, 269, 634, 1093, 12661, 923, 538, 713, 2796, 568, 4143, 1256, 2221, 267, 1317, 519, 1459, 2518, 2486, 568, 5258, 538, 693, 2547, 1079, 2516, 267, 642, 714, 269, 3909, 543, 513, 1700, 516, 31437, 269, 1656, 8164, 1022, 5683, 3390, 1644, 547, 1022, 12106, 540, 1272, 14340, 267, 519, 3909, 8128, 610, 15156, 540, 3909, 7881, 3801, 547, 1265, 856, 519, 3435, 593, 519, 4493, 540, 519, 10752, 540, 4984, 269, 1280, 1383, 267, 1813, 547, 519, 7760, 538, 2564, 9443, 267, 2486, 568, 1992, 539, 540, 519, 5574, 1272, 5841, 27042, 267, 1449, 2389, 4209, 1532, 17879, 610, 1256, 5444, 3797, 269, 3143, 8969, 519, 4513, 2152, 2285, 4473, 547, 5683, 2055, 269, 1717, 267, 2436, 519, 3210, 547, 891, 2055, 1058, 581, 689, 513, 3909, 1895, 610, 689, 513, 9243, 1895, 9247, 5673, 593, 519, 2247, 1606, 564, 540, 1004, 2713, 538, 2486, 269, 32279, 621, 568, 1336, 602, 3909, 1895, 20781, 547, 891, 2152, 593, 519, 4493, 540, 1978, 2093, 540, 20519, 543, 5609, 267, 1434, 543, 3983, 607, 5462, 676, 519, 3909, 29625, 269, 1656, 519, 3210, 540, 27454, 1143, 547, 891, 2152, 568, 971, 513, 1826, 540, 3210, 269, 18227, 693, 4282, 519, 27454, 320, 16431, 540, 1875, 8686, 2723, 775, 267, 1875, 12258, 937, 13659, 543, 10841, 2045, 1272, 267, 27454, 1143, 20781, 547, 519, 6915, 268, 25677, 2152, 563, 1103, 713, 11000, 267, 519, 2013, 1353, 540, 1739, 6915, 268, 25677, 2152, 786, 581, 2944, 267, 711, 782, 519, 2152, 786, 581, 5941, 269, 634, 2601, 585, 1373, 16496, 568, 602, 519, 1445, 540, 519, 11000, 568, 593, 27454, 320, 3210, 547, 6915, 268, 25677, 2152, 543, 711, 519, 14969, 6609, 543, 4901, 540, 6915, 268, 25677, 2152, 269, 634, 2152, 585, 1459, 11000, 616, 912, 268, 14464, 27042, 454, 268, 5029, 21856, 454, 763, 4657, 1305, 540, 2418, 267, 9867, 2093, 540, 12257, 543, 18399, 267, 1367, 5191, 267, 1514, 4567, 3092, 269, 723, 2016, 4473, 547, 513, 1114, 17695, 1436, 540, 1480, 1272, 543, 18867, 519, 2152, 1644, 547, 12732, 540, 1480, 1272, 267, 13311, 4332, 610, 6159, 1324, 585, 4816, 3092, 269, 723, 818, 17470, 563, 1103, 519, 1769, 540, 519, 8561, 593, 6207, 1875, 8686, 2723, 775, 267, 27454, 1143, 1065, 644, 28179, 543, 10238, 1080, 16377, 7488, 540, 4128, 269, 634, 27454, 320, 7778, 540, 713, 1935, 540, 1875, 8686, 2723, 775, 1223, 581, 607, 5205, 912, 268, 1306, 519, 7872, 540, 1007, 4332, 6818, 267, 11318, 602, 1272, 568, 1164, 1377, 540, 5208, 543, 3112, 581, 20582, 896, 1022, 2601, 563, 268, 1403, 519, 9837, 540, 16377, 568, 547, 1205, 7759, 540, 519, 4775, 1126, 267, 27454, 1143, 786, 4431, 593, 519, 20457, 540, 7862, 540, 782, 1272, 267, 543, 18149, 333, 519, 11318, 540, 513, 4775, 1126, 563, 268, 1403, 7872, 540, 26843, 6765, 568, 519, 2601, 540, 16377, 267, 27454, 1143, 786, 1491, 883, 2272, 519, 3069, 540, 737, 12609, 543, 786, 8044, 602, 607, 519, 1126, 786, 723, 547, 7985, 1317, 540, 1010, 268, 615, 1378, 2250, 737, 1301, 553, 267, 1126, 786, 2661, 610, 5884, 540, 2067, 3123, 543, 8754, 20982, 11318, 540, 513, 1126, 568, 711, 20582, 563, 268, 27454, 1143, 786, 849, 1489, 9494, 519, 840, 2173, 1155, 569, 9447, 9002, 693, 1022, 1942, 1256, 1498, 972, 568, 1169, 7872, 602, 971, 513, 1126, 1281, 1332, 609, 9124, 689, 3500, 1565, 547, 16765, 2168, 9124, 563, 268, 1403, 519, 2601, 540, 16377, 568, 1514, 267, 552, 3052, 269, 6710, 610, 3478, 7759, 540, 796, 2914, 5896, 610, 10363, 1126, 267, 27454, 1143, 786, 4431, 609, 519, 1489, 540, 1079, 3741, 540, 1875, 8686, 2723, 775, 543, 14985, 540, 737, 12609, 543, 8044, 602, 607, 519, 1126, 814, 547, 7703, 519, 5613, 540, 2250, 737, 1301, 553, 543, 8754, 705, 15659, 519, 1126, 786, 581, 513, 5609, 540, 7679, 1359, 609, 824, 737, 12609, 563, 1607, 3926, 568, 7550, 950, 519, 2067, 6379, 568, 711, 2009, 1813, 547, 519, 5214, 12889, 2901, 538, 5256, 610, 4775, 269, 769, 8686, 527, 549, 22289, 267, 1147, 5766, 622, 3993, 3125, 616, 930, 2081, 602, 666, 581, 7550, 950, 519, 7385, 538, 519, 7008, 3112, 2285, 4332, 547, 513, 1126, 538, 513, 2067, 1259, 269, 1280, 519, 7008, 267, 799, 568, 6159, 1324, 585, 513, 1126, 543, 3112, 1205, 621, 6923, 267, 891, 2564, 18563, 616, 899, 513, 1630, 517, 269, 898, 1131, 581, 4277, 547, 1294, 1018, 27454, 1143, 1131, 1589, 827, 713, 563, 5575, 540, 782, 267, 19163, 593, 519, 4493, 540, 519, 3069, 540, 737, 12609, 267, 27454, 1143, 786, 7357, 1065, 644, 5573, 519, 2856, 540, 5841, 605, 21551, 269, 898, 786, 1448, 856, 602, 1813, 547, 519, 2250, 737, 1301, 553, 540, 2901, 7385, 610, 9393, 610, 1312, 540, 873, 267, 2067, 6379, 568, 711, 2009, 543, 8754, 519, 7008, 1058, 3398, 621, 607, 741, 22038, 563, 30772, 267, 621, 786, 849, 28586, 1210, 2901, 5798, 610, 521, 704, 916, 610, 513, 27042, 540, 1022, 824, 3993, 607, 513, 20161, 585, 4896, 779, 25796, 3483, 563, 763, 2856, 540, 15333, 4003, 267, 4481, 568, 547, 2061, 606, 13311, 6379, 267, 543, 538, 2489, 547, 1852, 519, 2551, 563, 297, 664, 1143, 1522, 1294, 519, 946, 540, 15333, 1061, 1161, 607, 32118, 538, 519, 1769, 540, 519, 12247, 540, 13767, 756, 2329, 269, 4340, 547, 519, 8772, 12247, 267, 3933, 802, 543, 715, 12584, 616, 9277, 547, 1852, 741, 4638, 18653, 4625, 267, 1247, 7622, 518, 9038, 543, 8951, 616, 9277, 547, 1852, 519, 1482, 547, 513, 1978, 6708, 269, 1280, 1383, 267, 4638, 6935, 609, 4896, 824, 982, 23947, 267, 610, 4638, 1894, 950, 972, 568, 1100, 30254, 585, 513, 1126, 3092, 269, 568, 19275 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 534, 3236, 610, 2582, 8317, 585, 930, 2680, 454, 268, 834, 3891, 1572, 2185, 2053, 4840, 268, 834, 1607, 942, 646, 16309, 4840, 2304, 22543, 9548, 1974, 630, 17141, 6825, 676, 1808, 10305, 610, 2238, 994, 268, 834, 3891, 568, 3257, 942, 538, 519, 10315, 21569, 4840, 268, 834, 3891, 729, 513, 1390, 17076, 568, 1010, 942, 4840, 268, 834, 763, 942, 540, 1032, 585, 9544, 4840, 268, 834, 3891, 31372, 513, 1279, 942, 4840, 288, 1974, 540, 942, 2808, 607, 513, 4199, 896, 707, 1852, 543, 6190, 547, 9585, 1945, 454, 268, 834, 527, 3576, 811, 982, 3368, 1250, 942, 4840, 268, 834, 296, 4769, 1405, 723, 942, 547, 9096, 4840, 268, 834, 339, 820, 942, 547, 9329, 519, 24712, 4840, 320, 1268, 781, 1995, 593, 513, 1880, 8317, 454, 268, 834, 3891, 1185, 513, 942, 8066, 1394, 519, 17229, 257, 610, 834, 16269, 1185, 513, 1434, 942, 1927, 3269, 454, 288, 5078, 4090, 454, 268, 834, 527, 568, 942, 547, 979, 4840, 1492, 27795, 540, 1995, 538, 799, 2621, 1780, 689, 519, 2104, 998, 519, 1459, 547, 519, 2250, 0, 4306, 302, 2975, 26980, 6865, 4953, 23802, 476, 279, 289, 12327, 307, 6938, 11553, 3722, 2316, 4753, 11550, 25770, 5960, 4888, 14684, 8991, 454, 295, 517, 832, 11061, 23448, 853, 334, 24734, 5852, 10819, 454, 14457, 3758, 15761, 571, 853, 334, 24734, 5852, 10819, 476, 272, 269, 18234, 24277, 23465, 609, 536, 10740, 17296, 547, 1106, 8988, 17296, 543, 536, 10740, 24277, 269, 513, 269, 3503, 543, 3666, 519, 3114, 3830, 269, 476, 273, 3397, 17472, 476, 274, 1341, 13391, 5141, 476, 273, 256, 476, 273, 3397, 5141, 1341, 13391, 263, 17472, 476, 274, 264, 476, 273, 536, 269, 1403, 476, 4375, 10101, 540, 536, 10740, 17296, 616, 2746, 539, 538, 606, 4430, 540, 8988, 24277, 267, 875, 1082, 454, 306, 1729, 24734, 5852, 6657, 8018, 910, 5851, 910, 4317, 17781, 454, 14457, 3758, 306, 1729, 24734, 5852, 6657, 8018, 16534, 519, 1739, 588, 334, 24734, 5852, 10101, 3766, 2449, 2042, 281, 476, 272, 264, 4635, 519, 1739, 3830, 281, 476, 273, 10878, 15121, 1341, 670, 476, 273, 12569, 476, 275, 476, 273, 670, 476, 273, 302, 1341, 10878, 476, 273, 12569, 476, 275, 1215, 1082, 10101, 540, 9770, 23253, 786, 581, 4646, 952, 596, 1376, 609, 476, 1220, 269, 271, 454, 306, 1729, 24734, 5852, 281, 588, 334, 24734, 6248, 5223, 1806, 630, 14835, 454, 20797, 281, 26758, 588, 334, 24734, 5852, 269, 6657, 281, 20593, 1154, 18253, 543, 2527, 269, 8921, 3992, 269, 7799, 1746, 556, 26047, 588, 334, 24734, 5852, 269, 23037, 676, 281, 5440, 966, 6838, 269, 853, 334, 24734, 5852, 269, 5455, 8921, 269, 853, 334, 24734, 5852, 269, 3776, 5692, 568, 547, 1683, 513, 1863, 267, 1158, 11665, 2069, 547, 4896, 267, 9170, 269, 16679, 9142, 568, 513, 476, 26341, 6262, 7565, 274, 264, 18758, 3919, 269, 5213, 622, 610, 15321, 2221, 256, 13505, 32522, 454, 560, 334, 24734, 5852, 476, 272, 4976, 543, 1883, 454, 14457, 3758, 306, 1729, 24734, 5852, 8018, 543, 6206, 476, 272, 12387, 918, 5141, 302, 476, 274, 12387, 918, 5141, 302, 476, 274, 12387, 744, 476, 273, 815, 12387, 302, 476, 273, 476, 274, 331, 918, 5141, 815, 12387, 918, 5141, 302, 476, 274, 815, 476, 271, 12387, 3171, 815, 12387, 3171, 476, 273, 302, 476, 274, 815, 815, 476, 273, 918, 5141, 302, 476, 274, 3331, 357, 476, 273, 918, 5141, 1341, 476, 274, 744, 476, 273, 476, 1015, 269, 1215, 454, 306, 1729, 24734, 5852, 23448, 6657, 10819, 910, 13244, 3933, 3821, 5441, 454, 306, 1729, 24734, 5852, 23448, 6657, 10819, 1547, 10691, 292, 281, 2353, 3621, 10035, 568, 2854, 538, 519, 1739, 6073, 281, 630, 290, 4141, 2310, 264, 292, 263, 22091, 9426, 1040, 1280, 1383, 267, 476, 277, 1535, 476, 1015, 476, 272, 568, 2854, 607, 476, 277, 267, 543, 476, 273, 1535, 476, 1015, 268, 276, 568, 2854, 607, 476, 273, 268, 276, 269, 3509, 540, 891, 2042, 4125, 4834, 602, 454, 290, 13511, 1315, 12226, 547, 631, 3421, 654, 306, 910, 3063, 2042, 454, 2005, 568, 519, 3609, 540, 519, 3345, 2717, 330, 7991, 3427, 10588, 711, 547, 5806, 3729, 593, 519, 4493, 540, 5198, 267, 2681, 267, 3084, 5169, 267, 3023, 267, 9659, 267, 4984, 267, 1212, 539, 267, 2085, 630, 1721, 7694, 1070, 29281, 4567, 630, 1721, 3292, 1070, 4638, 10066, 267, 4008, 3961, 543, 14227, 4567, 630, 1721, 3292, 264, 538, 922, 3872, 3292, 543, 922, 7694, 2853, 563, 577, 1986, 476, 277, 13326, 588, 334, 747, 4976, 543, 1883, 454, 14457, 3758, 6637, 476, 277, 21344, 543, 853, 334, 24734, 5852, 8018, 543, 6206, 11762, 281, 3040, 21344, 12307, 3040, 5675, 513, 3114, 3830, 3040, 853, 334, 24734, 5852, 6657, 281, 476, 272, 269, 769, 519, 5114, 281, 476, 275, 30537, 630, 338, 264, 1341, 744, 476, 273, 630, 326, 264, 2485, 362, 476, 273, 30537, 476, 273, 302, 630, 338, 264, 513, 269, 1018, 568, 519, 1587, 286, 536, 269, 1018, 616, 519, 2746, 1218, 286, 524, 269, 1018, 1281, 519, 968, 263, 338, 264, 892, 1310, 519, 4542, 540, 16864, 12547, 24901, 888, 11405, 7732, 1923, 5851, 454, 306, 1729, 24734, 5852, 476, 279, 321, 23448, 6657, 10819, 12226, 269, 7348, 9137, 269, 7300, 674, 11223, 269, 476, 1240, 300, 269, 9046, 8827, 3194, 11762, 269, 7348, 9137, 269, 7300, 674, 11223, 269, 476, 1691, 300, 269, 634, 12085, 1358, 2961, 3072, 5999, 1656, 12226, 269, 7348, 9137, 269, 7300, 674, 11223, 269, 476, 279, 300, 269, 4880, 11929, 476, 1001, 278, 7726, 14430, 2060, 12226, 454, 290, 13511, 631, 1961, 6726, 566, 4530, 5999, 454, 763, 3727, 568, 513, 3044, 16038, 1770, 1031, 5097, 538, 7998, 269, 901, 568, 513, 4015, 540, 4557, 7998, 1449, 2055, 7231, 609, 519, 3727, 269, 589, 13350, 3349, 786, 581, 3730, 547, 2347, 891, 2055, 269, 0, 25857, 686, 631, 537, 14653, 8452, 538, 4911, 330, 528, 538, 5130, 476, 5908, 271, 543, 267, 4352, 646, 6170, 1152, 1614, 4374, 593, 519, 3135, 267, 1010, 2951, 1867, 267, 3370, 513, 1906, 1296, 1310, 1010, 2669, 538, 5487, 657, 538, 476, 5908, 272, 267, 8659, 519, 13730, 6609, 540, 4911, 330, 528, 799, 4547, 519, 21219, 547, 519, 3007, 540, 519, 1158, 563, 17951, 330, 528, 568, 519, 5318, 1858, 267, 5087, 540, 519, 29139, 548, 590, 777, 10720, 267, 1141, 519, 10609, 1067, 15438, 12199, 689, 519, 476, 280, 628, 2540, 547, 519, 4098, 540, 519, 476, 1428, 628, 2540, 269, 1358, 2451, 585, 16968, 640, 606, 6909, 9371, 538, 6149, 267, 519, 17633, 3710, 547, 2777, 519, 9699, 543, 14418, 2820, 514, 885, 26902, 5792, 538, 3504, 3162, 7232, 770, 5607, 563, 763, 1101, 4622, 945, 3964, 1010, 3854, 2282, 1912, 333, 558, 25234, 26907, 693, 519, 1439, 540, 519, 476, 280, 628, 2540, 267, 962, 1662, 990, 1301, 534, 594, 267, 849, 3710, 835, 4627, 11849, 2449, 630, 3000, 2120, 625, 264, 538, 1010, 10806, 267, 799, 5267, 602, 519, 11182, 646, 6417, 4988, 513, 1804, 1858, 269, 28210, 29691, 513, 14629, 267, 621, 568, 19951, 513, 2442, 15805, 5544, 585, 23863, 5784, 563, 763, 4911, 330, 528, 3135, 568, 4092, 538, 519, 11662, 540, 13961, 655, 1234, 777, 267, 538, 519, 5087, 29891, 540, 25591, 267, 1063, 29139, 548, 590, 777, 8235, 543, 513, 1507, 2039, 540, 15113, 1572, 1912, 333, 558, 918, 592, 523, 729, 849, 4988, 609, 11454, 269, 645, 14397, 599, 590, 516, 328, 729, 7508, 267, 519, 11454, 729, 1152, 4362, 513, 1906, 1296, 2663, 267, 538, 476, 4489, 275, 563, 17951, 330, 528, 20242, 568, 519, 23836, 11454, 799, 2968, 519, 18368, 6444, 3090, 540, 519, 3504, 10609, 1067, 10340, 269, 898, 568, 3564, 1022, 8969, 513, 4898, 540, 519, 3909, 11265, 1158, 563, 289, 1263, 2725, 1446, 320, 729, 1152, 556, 19945, 2989, 547, 8436, 538, 519, 2038, 476, 1220, 271, 338, 1310, 519, 1928, 560, 1136, 4305, 540, 21757, 621, 689, 2244, 15183, 267, 799, 3576, 1296, 267, 729, 6192, 269, 898, 779, 1419, 4330, 607, 513, 2048, 29788, 685, 4528, 540, 4911, 330, 528, 20242, 543, 729, 1034, 2693, 3710, 1472, 519, 1482, 942, 269, 1411, 786, 1451, 547, 5431, 519, 521, 1537, 7776, 3529, 4171, 3043, 17657, 5654, 899, 513, 4999, 540, 7299, 5072, 267, 855, 849, 519, 1193, 836, 2401, 4453, 3529, 267, 513, 535, 16307, 799, 6238, 922, 3134, 760, 1506, 6776, 1272, 950, 5017, 4163, 922, 5452, 1164, 909, 1776, 3529, 610, 593, 1283, 540, 519, 25113, 563, 5415, 12517, 267, 7836, 1079, 610, 1614, 2395, 538, 4911, 330, 528, 568, 519, 5934, 942, 835, 2115, 547, 3643, 519, 1034, 1271, 17633, 269, 9050, 547, 2947, 2395, 786, 1450, 596, 547, 3643, 811, 540, 519, 4911, 330, 528, 3135, 17633, 855, 849, 547, 1331, 513, 835, 1554, 2389, 8692, 547, 513, 2484, 2476, 3135, 281, 2776, 1695, 22870, 515, 541, 267, 918, 2129, 23715, 267, 2776, 1695, 16679, 540, 918, 2086, 784, 590, 341, 599, 267, 590, 3711, 528, 2776, 328, 918, 4157, 610, 645, 14397, 599, 932, 327, 3405, 269, 1403, 596, 616, 16994, 593, 9683, 811, 982, 835, 540, 891, 2484, 2476, 4609, 267, 610, 593, 9683, 513, 1390, 1297, 540, 519, 4911, 330, 528, 17633, 267, 513, 3018, 786, 581, 3501, 563, 290, 3711, 17377, 2968, 513, 3943, 5019, 10725, 622, 538, 476, 5908, 274, 267, 769, 476, 5908, 277, 513, 3621, 5692, 6494, 547, 2708, 2436, 519, 631, 2131, 784, 729, 4044, 762, 630, 527, 729, 711, 264, 3323, 609, 513, 1614, 22173, 1033, 712, 998, 4911, 330, 528, 267, 1287, 896, 519, 1852, 540, 590, 3554, 269, 7201, 519, 5718, 540, 2155, 6387, 667, 3716, 691, 632, 20698, 337, 19902, 267, 14731, 717, 7568, 1512, 267, 8402, 5548, 777, 677, 324, 543, 8402, 2961, 333, 2946, 5342, 519, 1101, 12220, 540, 519, 17633, 269, 0, 25200, 281, 27285, 20540, 281, 27286, 1607, 7688, 5161, 540, 476, 276, 2789, 3903, 543, 476, 276, 2110, 2626, 2055, 998, 3487, 476, 273, 3848, 476, 736, 1299, 476, 2641, 563, 21296, 14893, 5999, 454, 272, 269, 1548, 568, 519, 2165, 646, 3096, 585, 7744, 609, 1776, 1268, 888, 273, 269, 4208, 798, 1004, 1616, 547, 1118, 513, 26315, 543, 2824, 19988, 338, 888, 5416, 264, 547, 1450, 585, 1931, 569, 24895, 454, 6357, 264, 547, 581, 899, 519, 824, 1455, 933, 23411, 1472, 873, 454, 6262, 264, 547, 7759, 2933, 540, 2797, 11552, 553, 1465, 454, 5560, 264, 547, 2061, 2348, 547, 882, 22055, 880, 22624, 454, 274, 269, 1548, 568, 20122, 15816, 262, 2990, 593, 11299, 543, 741, 1453, 888, 5416, 264, 12624, 338, 723, 1100, 2924, 547, 1453, 563, 6357, 264, 634, 1533, 22595, 782, 1453, 563, 6262, 264, 12624, 338, 786, 10205, 741, 1453, 563, 5560, 264, 634, 3993, 568, 519, 2067, 8227, 540, 519, 1453, 563, 275, 269, 1879, 513, 21318, 3587, 835, 1895, 267, 1018, 1590, 789, 2824, 888, 5416, 264, 519, 11647, 602, 568, 3617, 585, 513, 1895, 454, 6357, 264, 606, 3617, 5870, 1747, 1804, 2614, 547, 4127, 617, 622, 782, 454, 6262, 264, 513, 11347, 945, 568, 11967, 676, 782, 519, 1895, 2818, 454, 5560, 264, 513, 1305, 540, 3652, 267, 6042, 267, 543, 676, 2000, 9155, 454, 276, 269, 1548, 1281, 20122, 15816, 3398, 950, 4708, 568, 7543, 888, 14112, 8382, 5999, 454, 272, 269, 1215, 1281, 20122, 15816, 4766, 1010, 7623, 9345, 888, 273, 269, 1548, 1281, 20122, 15816, 2161, 568, 2877, 547, 2149, 1004, 689, 8594, 888, 274, 269, 1548, 1281, 20122, 15816, 2161, 513, 1268, 568, 3257, 950, 646, 13515, 21108, 5128, 888, 275, 269, 1548, 1079, 2188, 1281, 20122, 15816, 3494, 1852, 2790, 11407, 888, 276, 269, 1548, 1826, 540, 1433, 568, 19845, 9654, 26059, 3198, 888, 1607, 3296, 3568, 476, 29720, 1913, 454, 26140, 269, 476, 272, 2985, 693, 476, 4968, 1913, 829, 2985, 264, 0, 289, 3008, 3041, 5508, 2910, 11586, 4785, 3582, 589, 2793, 14877, 306, 3041, 454, 1103, 513, 2347, 13674, 5114, 267, 513, 7623, 23465, 609, 606, 12444, 1944, 3693, 267, 543, 519, 2472, 616, 7135, 540, 1142, 3693, 538, 519, 4492, 609, 519, 12444, 1944, 3693, 563, 268, 6789, 23414, 292, 4353, 3633, 454, 19575, 1493, 595, 670, 744, 715, 590, 589, 631, 815, 1911, 454, 3682, 343, 1493, 966, 300, 674, 290, 631, 589, 815, 476, 1911, 454, 268, 3642, 305, 19010, 312, 1496, 1911, 290, 14370, 1911 ]

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

[ 543, 13535, 1794, 327, 784, 16581, 29550, 269, 769, 1880, 267, 513, 1007, 631, 8538, 1815, 21552, 2673, 547, 670, 298, 308, 276, 729, 1336, 538, 513, 10412, 10471, 3524, 10642, 676, 13535, 1794, 327, 784, 16581, 2160, 538, 476, 1001, 278, 269, 634, 3173, 849, 1336, 513, 3209, 670, 298, 308, 275, 5829, 631, 8538, 1815, 21552, 513, 2673, 3448, 547, 631, 8991, 11452, 538, 513, 7573, 10471, 602, 729, 3524, 10642, 538, 476, 1708, 271, 676, 519, 13535, 1794, 327, 784, 16581, 2160, 269, 16952, 9696, 540, 11763, 804, 2158, 5532, 547, 670, 298, 308, 276, 543, 513, 5545, 29363, 4345, 3644, 941, 849, 4857, 538, 513, 10412, 10471, 3524, 10642, 676, 519, 13535, 1794, 327, 784, 16581, 2160, 538, 476, 1001, 279, 563, 10214, 811, 7282, 267, 513, 1007, 914, 659, 528, 517, 822, 597, 2224, 2147, 547, 16568, 8862, 4353, 272, 729, 4362, 538, 513, 7573, 10471, 602, 729, 3524, 10642, 538, 476, 1001, 278, 676, 519, 17540, 329, 1014, 11982, 543, 32645, 2160, 269, 968, 8794, 519, 4362, 4719, 9696, 267, 649, 941, 2111, 547, 27043, 2347, 25450, 540, 1079, 1007, 8318, 822, 21905, 2223, 835, 540, 799, 568, 968, 854, 2147, 892, 547, 519, 715, 760, 1695, 3644, 267, 519, 3173, 24633, 538, 513, 1353, 840, 1790, 21242, 593, 519, 818, 311, 643, 7746, 563, 10527, 6602, 540, 1896, 5906, 1480, 13596, 538, 6694, 15971, 20682, 12651, 4145, 602, 19777, 23245, 10873, 616, 1373, 26991, 2223, 519, 4589, 24633, 267, 1519, 4145, 602, 8060, 538, 6694, 20682, 616, 1447, 22608, 982, 538, 19274, 14347, 20682, 269, 16593, 2685, 267, 4457, 9945, 723, 9395, 2989, 741, 10873, 2094, 519, 11944, 540, 16568, 17336, 268, 273, 1848, 0, 763, 4065, 16735, 268, 10076, 1072, 2200, 585, 1453, 267, 1053, 267, 3237, 267, 1416, 3464, 543, 1153, 270, 3712, 5076, 5234, 454, 26045, 2657, 8249, 910, 589, 4015, 540, 2200, 547, 948, 707, 2790, 1072, 630, 5804, 5101, 540, 4789, 6554, 5948, 267, 5225, 4945, 593, 519, 3095, 2630, 1916, 26045, 2657, 8081, 1282, 519, 5046, 910, 476, 866, 12176, 454, 288, 595, 4456, 9391, 11285, 568, 1631, 2139, 476, 2190, 3108, 513, 1554, 267, 5722, 2395, 513, 3018, 267, 547, 1683, 11285, 5796, 543, 1489, 547, 3885, 543, 4648, 827, 1453, 270, 9767, 978, 1004, 538, 513, 2790, 1072, 6433, 543, 630, 604, 2556, 264, 6582, 585, 513, 3068, 547, 3068, 4879, 563, 1607, 2533, 568, 2139, 998, 938, 17266, 8672, 540, 7457, 1899, 593, 10778, 307, 601, 281, 476, 27157, 271, 476, 6507, 278, 476, 271, 3583, 278, 454, 16942, 281, 4757, 11333, 2593, 630, 1721, 1875, 268, 4026, 550, 679, 24751, 994, 2304, 3534, 22506, 2817, 10418, 585, 5753, 543, 19198, 910, 3730, 1344, 827, 10515, 532, 609, 6397, 30804, 543, 2530, 563, 30144, 8479, 9650, 338, 538, 670, 1068, 338, 454, 2690, 6176, 827, 875, 547, 1413, 1310, 707, 2790, 1072, 543, 3929, 8171, 1282, 519, 13044, 268, 866, 12176, 5225, 4945, 593, 519, 3095, 2630, 563, 22033, 827, 6158, 547, 707, 1453, 827, 4856, 7431, 24295, 454, 21790, 10955, 585, 19198, 454, 6701, 596, 513, 2385, 610, 1416, 337, 945, 568, 7255, 827, 2790, 1072, 540, 707, 1126, 270, 10117, 4526, 610, 606, 4587, 1920, 4759, 267, 2385, 610, 6264, 8001, 286, 9650, 10955, 585, 3885, 814, 5796, 543, 1344, 689, 11967, 4966, 543, 786, 948, 596, 547, 1174, 1018, 2042, 2049, 267, 1018, 596, 666, 798, 547, 1655, 1489, 707, 1920, 267, 543, 875, 547, 1491, 1416, 540, 3054, 563, 28716, 519, 9650, 10955, 19198, 3896, 585, 811, 1344, 563, 8512, 2996, 1222, 585, 1453, 454, 4910, 1545, 547, 1628, 1453, 781, 8171, 454, 21609, 645, 699, 29713, 5177, 723, 1344, 585, 3237, 543, 1416, 3464, 593, 5885, 1453, 998, 2352, 2053, 543, 5883, 16236, 269, 7490, 4945, 593, 519, 3095, 2630, 547, 1569, 891, 2200, 563, 22013, 1853, 532, 7981, 3038, 1707, 16511, 958, 454, 9169, 12195, 568, 513, 670, 1068, 5112, 28790, 17253, 11450, 1935, 1141, 3237, 267, 5234, 538, 2038, 1296, 5468, 543, 3506, 267, 2417, 2069, 12621, 267, 2199, 6392, 10492, 543, 13222, 689, 824, 8041, 267, 960, 1927, 607, 851, 540, 606, 9351, 6828, 267, 17265, 543, 3384, 519, 2039, 540, 11865, 543, 1489, 2533, 2139, 547, 741, 2199, 2146, 563, 19853, 3896, 814, 1044, 8242, 547, 1331, 2200, 547, 1489, 10076, 2657, 267, 5851, 3427, 532, 585, 782, 1883, 5933, 267, 1187, 2238, 543, 1454, 811, 563, 306, 29195, 23089, 9250, 513, 1007, 2661, 10004, 3028, 547, 1489, 1346, 7680, 267, 610, 693, 1981, 540, 6057, 563, 763, 1007, 3028, 6087, 4896, 7680, 6057, 547, 10004, 2047, 609, 513, 4759, 540, 519, 6380, 518, 23089, 2319, 563, 763, 3800, 9307, 547, 10994, 11452, 630, 26542, 476, 866, 264, 723, 2938, 1554, 547, 1554, 1272, 1689, 13497, 543, 17216, 1500, 621, 9875, 585, 1004, 547, 1569, 1489, 2533, 607, 15000, 616, 9678, 609, 705, 22852, 609, 1507, 9486, 540, 4316, 547, 3717, 269, 901, 1007, 3028, 786, 2285, 15000, 519, 4316, 547, 1569, 1489, 15739, 564, 569, 269, 634, 1007, 3028, 786, 7620, 581, 1930, 1063, 476, 279, 281, 1789, 600, 543, 476, 276, 10975, 11728, 547, 11016, 543, 476, 279, 10975, 910, 476, 279, 600, 29443, 910, 6129, 476, 279, 10975, 910, 476, 279, 600, 269, 634, 2661, 10004, 8400, 786, 2408, 952, 596, 979, 593, 547, 519, 6380, 518, 4025, 3896, 269, 1403, 596, 991, 948, 596, 666, 1376, 513, 6643, 547, 4309, 1489, 269, 2107, 4244, 569, 519, 1463, 1297, 568, 476, 30033, 4905, 476, 28276, 279, 1556, 1930, 476, 2190, 270, 278, 563, 288, 794, 585, 19732, 1465, 723, 6266, 540, 1344, 2228, 827, 1412, 1692, 547, 1832, 15508, 2635, 1282, 7334, 2053, 262, 5225, 4945, 593, 519, 6402, 2630, 585, 1489, 267, 5796, 267, 9066, 543, 811, 563, 23991, 25103, 910, 634, 10418, 585, 16508, 2657, 454, 23991, 25103, 3896, 1331, 1863, 28085, 609, 1900, 676, 1900, 10274, 267, 1919, 547, 798, 609, 1453, 543, 4388, 585, 3237, 563, 5445, 616, 849, 5356, 1863, 15970, 6030, 18799, 676, 2121, 332, 4548, 269, 7490, 804, 1074, 593, 519, 6402, 2630, 547, 1569, 891, 2200, 563, 276, 24238, 27678, 585, 5753, 543, 8479, 1004, 269, 1358, 616, 2110, 476, 277, 8792, 7044, 5059, 593, 7244, 543, 666, 581, 2944, 9170, 693, 20471, 269, 1358, 616, 2966, 547, 3142, 9350, 543, 1201, 1371, 865, 949, 581, 3730, 547, 930, 540, 938, 1762, 1004, 563, 23991, 22032, 17493, 3788, 4628, 1930, 585, 1870, 454, 2171, 3136, 547, 1683, 513, 1863, 927, 680, 710, 543, 952, 596, 991, 547, 2911, 267, 649, 616, 1934, 547, 6432, 609, 938, 8036, 543, 9952, 13781, 563, 24445, 721, 593, 476, 24699, 279, 476, 8517, 476, 19442, 273, 563, 2171, 917, 602, 3006, 621, 779, 2182, 547, 3717, 593, 519, 6049, 538, 513, 22125, 2230, 610, 1141, 621, 949, 711, 581, 2922, 547, 1289, 267, 596, 666, 4757, 18078, 17106, 11333, 3820, 610, 3643, 938, 3896, 543, 15473, 693, 8940, 8807, 13637, 331, 1161, 3820, 16896, 269, 1284, 616, 9750, 938, 927, 680, 710, 4390, 543, 3384, 3606, 2200, 1472, 7231, 609, 14699, 538, 519, 1753, 269, 3509, 3885, 616, 849, 1753, 18375, 543, 649, 723, 3773, 6266, 540, 3730, 4388, 593, 713, 543, 849, 2081, 538, 799, 3885, 666, 4497, 538, 1942, 1863, 2238, 1927, 547, 938, 3896, 563, 293, 7867, 8892, 616, 593, 513, 5692, 547, 2327, 602, 1453, 538, 670, 1068, 5112, 28790, 616, 2016, 519, 2645, 547, 2087, 741, 2168, 543, 2790, 1072, 689, 1753, 269, 1306, 513, 670, 1068, 5112, 28790, 1759, 2754, 649, 616, 4758, 3506, 543, 3885, 1863, 1569, 547, 674, 7867, 8892, 15029, 1153, 5008, 999, 616, 24451, 585, 782, 676, 1883, 11832, 1453, 269, 7490, 3643, 741, 3896, 585, 811, 1344, 563, 3086, 811, 982, 2479, 267, 1762, 1004, 991, 519, 1983, 547, 2226, 2318, 1582, 12635, 267, 8171, 543, 547, 1745, 29014, 827, 741, 2104, 269, 1284, 723, 2919, 513, 10189, 540, 1863, 2200, 267, 2966, 547, 1489, 3885, 547, 1020, 891, 1753, 6738, 1983, 269, 1284, 786, 581, 5781, 4946, 547, 713, 609, 1007, 2200, 865, 1832, 606, 3750, 856, 585, 10311, 563, 32086, 667, 919, 1107, 634, 744, 17247, 23966, 7690, 910, 1383, 540, 2866, 616, 1412, 294, 4361, 2866, 585, 581, 516, 8491, 3237, 267, 11980, 6604, 267, 3804, 4259, 543, 5329, 2922, 543, 8876, 593, 8339, 0, 295, 5495, 4306, 2177, 2443, 9894, 596, 4413, 621, 888, 763, 28610, 9855, 1396, 909, 519, 3781, 6607, 11728, 538, 513, 18477, 1129, 602, 4832, 568, 683, 2130, 606, 1439, 269, 634, 2407, 7599, 14191, 547, 519, 1313, 636, 2522, 1226, 514, 2135, 568, 1634, 607, 519, 28610, 9855, 1317, 621, 6505, 839, 519, 10543, 585, 6705, 16276, 3735, 4832, 7031, 563, 6097, 547, 519, 6196, 10787, 1067, 781, 1325, 2006, 659, 267, 519, 21152, 7550, 519, 4408, 540, 519, 2407, 24262, 2016, 676, 519, 7111, 4892, 563, 29309, 621, 11728, 286, 1411, 666, 1869, 1294, 621, 454, 22498, 3081, 519, 2407, 7599, 8445, 539, 693, 476, 278, 281, 4649, 533, 6230, 269, 6239, 942, 593, 11728, 267, 1498, 621, 5526, 2407, 585, 827, 1614, 2395, 267, 689, 10732, 10543, 998, 13723, 6640, 563, 1607, 1032, 267, 519, 4013, 1376, 540, 2887, 538, 519, 8832, 25955, 4386, 13723, 267, 20029, 269, 476, 2420, 2443, 519, 4013, 4098, 540, 2887, 269, 769, 20279, 267, 585, 2899, 267, 519, 1101, 1554, 540, 2887, 786, 2965, 1745, 899, 621, 7064, 547, 519, 12625, 540, 513, 3579, 4395, 630, 339, 777, 1934, 585, 811, 593, 602, 1916, 19604, 4034, 9855, 936, 20279, 281, 930, 540, 707, 533, 923, 454, 10673, 1405, 7340, 596, 666, 2141, 6494, 707, 3377, 270, 933, 1430, 6337, 543, 3381, 547, 918, 295, 5495, 476, 1556, 538, 938, 5985, 813, 267, 1175, 946, 519, 834, 301, 792, 2725, 257, 1599, 563, 2080, 616, 930, 540, 519, 1390, 533, 923, 649, 4312, 4607, 865, 2484, 912, 2080, 616, 519, 4408, 540, 782, 519, 2407, 24262, 912, 20464, 281, 16423, 9855, 630, 24874, 9855, 267, 10979, 9855, 994, 21938, 281, 16176, 9855, 630, 1805, 768, 9855, 267, 12017, 518, 9855, 994, 18550, 281, 654, 768, 9855, 630, 290, 6412, 9855, 267, 590, 777, 9855, 994, 19688, 281, 25968, 9855, 630, 292, 1375, 9855, 267, 12551, 7599, 994, 9802, 281, 27003, 9855, 630, 295, 732, 9855, 267, 22447, 9855, 994, 18907, 281, 853, 3863, 9440, 9855, 630, 305, 846, 9855, 267, 12182, 9855, 994, 20809, 281, 21207, 9855, 630, 1320, 8974, 9855, 267, 15917, 9855, 994, 20606, 281, 853, 25973, 517, 9855, 454, 20826, 281, 28610, 9855, 630, 290, 1941, 9855, 267, 4446, 2917, 9855, 994, 19751, 281, 28865, 781, 9855, 454, 21776, 281, 2142, 11232, 9855, 630, 293, 15543, 9855, 994, 20103, 281, 12019, 9855, 454, 290, 7034, 5240, 543, 654, 24433, 6874, 309, 8329, 547, 713, 1650, 0, 4504, 808, 2405, 2233, 476, 1708, 272, 282, 476, 1240, 263, 1428, 2567, 24783, 280, 268, 26552, 275, 269, 8222, 281, 1015, 269, 278, 1428, 271, 270, 6359, 916, 269, 5379, 274, 8287, 901, 3390, 454, 29797, 582, 4185, 281, 16332, 8839, 676, 8564, 633, 1230, 1998, 27853, 10552, 7177, 547, 853, 604, 548, 15302, 899, 5046, 268, 866, 454, 294, 516, 6390, 7177, 543, 5303, 267, 476, 2764, 8092, 5658, 1773, 18054, 267, 4934, 518, 23580, 10003, 476, 272, 267, 14055, 267, 2098, 26907, 345, 17924, 267, 476, 14596, 1822, 267, 3624, 563, 300, 4157, 615, 329, 2465, 6673, 269, 29138, 281, 16332, 8839, 676, 8564, 633, 1230, 1998, 27853, 10552, 7177, 547, 853, 604, 548, 15302, 899, 5046, 268, 866, 269, 2271, 808, 2405, 2233, 476, 1708, 272, 282, 476, 1240, 263, 1428, 2567, 24783, 280, 268, 26552, 275, 269, 8222, 281, 1015, 269, 278, 1428, 271, 270, 6359, 916, 269, 5379, 274, 8287, 269, 12232, 689, 4179, 2517, 4178, 6230, 2644, 857, 3820, 23218, 1240, 335, 24783, 280, 21867, 454, 14483, 3044, 6669, 4152, 10873, 1491, 5111, 476, 1015, 268, 2190, 3275, 540, 4152, 1354, 513, 6669, 666, 581, 10294, 3811, 269, 6884, 676, 519, 942, 513, 3811, 6669, 568, 856, 585, 1857, 946, 267, 519, 12176, 949, 2907, 581, 936, 269, 2060, 1100, 6669, 610, 27179, 3075, 2139, 547, 1521, 519, 7783, 267, 649, 616, 2451, 609, 519, 2085, 6040, 2409, 540, 10072, 267, 31741, 267, 543, 1964, 267, 547, 10654, 971, 513, 10194, 12176, 269, 1230, 1998, 27853, 1973, 3797, 543, 32128, 11919, 3797, 723 ]

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

[ 713, 2197, 269, 1733, 12241, 1010, 1289, 585, 1875, 8686, 2723, 550, 543, 16614, 2623, 949, 2408, 607, 513, 10257, 804, 320, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29638, 543, 12339, 21442, 29576, 257, 607, 851, 540, 834, 299, 25604, 14473, 595, 6020, 12087, 26113, 1315, 3979, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 8702, 547, 938, 3408, 540, 4831, 4812, 538, 2575, 256, 1411, 1522, 581, 11842, 1018, 4010, 834, 322, 3300, 4812, 257, 1797, 269, 4270, 267, 4952, 1079, 1004, 13465, 1114, 23964, 693, 519, 1482, 942, 910, 855, 3079, 540, 3280, 532, 26093, 267, 621, 5932, 513, 4190, 10103, 269, 2334, 781, 519, 9759, 540, 4831, 4812, 256, 2913, 781, 4685, 883, 713, 4241, 7574, 1523, 1927, 780, 5575, 267, 1577, 781, 1174, 875, 1367, 23964, 960, 1354, 649, 9192, 873, 269, 6056, 827, 707, 5172, 19820, 282, 6148, 621, 781, 513, 6952, 344, 1402, 5152, 610, 513, 12300, 6249, 689, 513, 7260, 269, 3767, 267, 2119, 23832, 610, 13465, 1175, 835, 851, 540, 602, 23260, 1247, 9878, 3007, 547, 922, 22705, 543, 17498, 267, 899, 16246, 3268, 610, 2469, 1524, 513, 13472, 269, 901, 3350, 538, 12334, 568, 1572, 513, 834, 1467, 1701, 1879, 25803, 1711, 23964, 267, 789, 5402, 4739, 891, 3515, 865, 602, 789, 2095, 12347, 543, 18427, 4664, 780, 3086, 267, 1934, 2501, 519, 1187, 851, 1107, 9256, 29375, 302, 3982, 5283, 21288, 3515, 547, 1106, 4831, 4812, 256, 1677, 3035, 713, 6707, 267, 25803, 1590, 2327, 602, 950, 5916, 267, 9444, 1899, 2531, 7149, 936, 519, 824, 6862, 4991, 4503, 1369, 519, 3575, 269, 5637, 3515, 991, 547, 2226, 741, 7115, 1247, 7700, 547, 519, 2949, 23191, 1267, 269, 12861, 1434, 4831, 4812, 3340, 5578, 995, 13326, 1063, 8082, 630, 15290, 519, 1079, 3515, 3100, 547, 32692, 264, 543, 6571, 630, 15290, 789, 5447, 18991, 6393, 4131, 803, 2671, 606, 1383, 1210, 2241, 2185, 5991, 1774, 3270, 1572, 834, 339, 25523, 577, 3581, 1701, 5994, 1079, 2206, 619, 7900, 5094, 25543, 577, 867, 9696, 8195, 269, 3689, 590, 5424, 281, 595, 5174, 5025, 8566, 282, 5822, 590, 5424, 281, 717, 6363, 7232, 5937, 269, 1403, 596, 6432, 5702, 267, 596, 3513, 5469, 602, 4352, 1312, 3515, 723, 2189, 5322, 267, 789, 849, 9148, 1142, 824, 11745, 1227, 1317, 519, 2063, 4063, 540, 519, 1101, 22256, 781, 5311, 13292, 9985, 609, 519, 1101, 4063, 540, 519, 2034, 22256, 781, 5311, 269, 901, 12972, 7472, 513, 17598, 1198, 1634, 607, 834, 29793, 1664, 5163, 3010, 2414, 1118, 1919, 1256, 811, 4277, 267, 3006, 25803, 786, 17543, 1711, 10151, 4744, 28585, 676, 2348, 519, 1079, 3515, 1847, 2509, 610, 2476, 689, 1142, 824, 267, 2870, 8082, 269, 1809, 1810, 1405, 5855, 1107, 1310, 2679, 909, 930, 24457, 998, 4744, 517, 656, 11996, 267, 9952, 25803, 2141, 8207, 873, 609, 27901, 3283, 267, 16089, 602, 3710, 5346, 8082, 543, 24886, 938, 10772, 780, 9961, 1686, 267, 1390, 12372, 899, 29732, 267, 20787, 691, 267, 543, 2142, 29348, 27058, 519, 1148, 540, 4831, 4812, 543, 11368, 621, 883, 741, 1568, 269, 1924, 1985, 942, 596, 6432, 547, 2575, 267, 1294, 952, 596, 666, 4584, 856, 2789, 5283, 21288, 9739, 15025, 1369, 519, 4062, 269, 1635, 1620, 4831, 4812, 267, 596, 2811, 11362, 4514, 883, 519, 3638, 1158, 540, 2575, 5888, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 17138, 281, 25538, 1676, 781, 834, 307, 2077, 534, 3768, 1772, 1245, 324, 9899, 1323, 4828, 593, 519, 25538, 1676, 1014, 30765, 454, 12041, 281, 6723, 589, 1231, 12340, 670, 697, 454, 3725, 3161, 4266, 281, 4989, 476, 272, 267, 476, 1220, 276, 1496, 324, 9349, 1948, 4281, 274, 275, 2639, 7197, 5063, 8242, 281, 4989, 476, 1428, 267, 476, 1708, 273, 454, 303, 23035, 519, 22649, 267, 8429, 519, 3781, 2676, 303, 23035, 267, 796, 5979, 3151, 519, 3180, 540, 1250, 635, 8565, 781, 3946, 2676, 303, 23035, 519, 5152, 540, 519, 1200, 2466, 6177, 543, 519, 512, 958, 532, 5152, 540, 1250, 9997, 2676, 309, 1112, 16124, 5152, 267, 2669, 781, 17752, 5152, 267, 2943, 8795, 267, 2479, 17038, 18146, 5152, 2676, 2026, 1970, 543, 530, 9430, 267, 2943, 2312, 519, 4967, 267, 8375, 543, 9991, 267, 14700, 519, 3781, 2676, 306, 611, 569, 29855, 543, 535, 31021, 267, 607, 9963, 543, 9963, 267, 543, 2943, 1586, 16802, 532, 609, 7772, 2676, 290, 1478, 532, 519, 3618, 543, 11423, 519, 3262, 540, 519, 13140, 2676, 2026, 602, 3532, 533, 15680, 332, 538, 519, 3781, 594, 4862, 689, 12424, 525, 563, 763, 1739, 3817, 2270, 2370, 952, 4376, 602, 568, 1007, 267, 610, 602, 1131, 581, 2693, 547, 1719, 1346, 945, 616, 2907, 693, 1753, 538, 25538, 1676, 781, 960, 269, 1358, 616, 5497, 585, 1346, 945, 616, 4098, 519, 1353, 540, 25538, 1676, 269, 769, 19220, 540, 1082, 2835, 267, 594, 917, 540, 1100, 25538, 1676, 3332, 538, 2296, 547, 799, 513, 19444, 666, 2490, 530, 6231, 8620, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 631, 4785, 2975, 1315, 19019, 1299, 5530, 1315, 23531, 1315, 22388, 4812, 269, 898, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 593, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 269, 3097, 268, 1684, 711, 2446, 519, 1357, 1349, 538, 519, 1837, 543, 798, 711, 1331, 513, 2140, 610, 2606, 2453, 267, 596, 1058, 2328, 519, 1543, 2047, 269, 0, 1012, 10439, 1944, 25670, 538, 513, 476, 273, 291, 18140, 692, 1103, 713, 3296, 267, 649, 786, 2263, 875, 547, 14650, 519, 5860, 540, 1079, 2326, 267, 4154, 543, 13339, 267, 538, 513, 476, 273, 291, 4729, 1210, 5124, 781, 32287, 5399, 269, 901, 786, 4125, 2870, 513, 2681, 8663, 609, 2688, 24217, 543, 10297, 547, 5815, 519, 5860, 540, 1142, 1570, 780, 5575, 267, 1577, 781, 1104, 519, 2556, 8021, 1384, 3499, 7090, 454, 5814, 21267, 28272, 607, 12301, 454, 5814, 11885, 607, 5286, 454, 7884, 2162, 11426, 1944, 519, 7822, 8663, 692, 763, 2681, 8663, 568, 513, 21370, 6041, 540, 519, 2039, 540, 2418, 538, 513, 10471, 269, 769, 938, 2013, 267, 649, 1616, 547, 946, 621, 547, 1397, 519, 5860, 540, 4154, 543, 13339, 538, 513, 476, 273, 291, 4729, 269, 1677, 798, 713, 267, 649, 991, 547, 1711, 2688, 24217, 543, 10297, 585, 519, 2681, 8663, 780, 4131, 781, 8263, 649, 723, 513, 8675, 1572, 2387, 3430, 847, 528, 318, 1706, 4461, 319, 602, 3568, 519, 5860, 540, 4154, 543, 13339, 538, 4846, 8276, 317, 274, 269, 1284, 666, 1349, 519, 5860, 540, 4154, 899, 713, 1384, 3499, 7090, 454, 24838, 14682, 1245, 815, 4482, 528, 318, 1706, 4461, 9131, 24838, 14682, 1245, 23300, 7884, 9202, 267, 649, 666, 1711, 513, 1592, 540, 8743, 6753, 543, 10297, 269, 1284, 3513, 946, 930, 2182, 322, 10757, 2418, 585, 519, 8743, 6753, 267, 855, 596, 666, 1118, 713, 6422, 585, 1079, 2326, 1384, 3499, 7090, 454, 339, 1157, 9078, 665, 338, 815, 1496, 271, 269, 271, 267, 11002, 334, 5334, 559, 6625, 267, 476, 4335, 271, 269, 271, 267, 476, 16020, 271, 269, 271, 267, 476, 1911, 876, 269, 271, 267, 476, 10219, 876, 269, 271, 2676, 17264, 476, 5611, 876, 269, 271, 267, 476, 11260, 876, 269, 271, 267, 11002, 334, 14682, 1245, 2639, 339, 1157, 9078, 629, 1564, 815, 18358, 271, 3299, 1412, 346, 281, 271, 269, 272, 325, 348, 910, 13961, 8339, 8971, 263, 24838, 5334, 559, 6625, 1070, 1412, 4335, 271, 3299, 1412, 16020, 271, 22779, 25639, 1412, 1911, 876, 3299, 1412, 10219, 876, 3299, 1412, 5611, 876, 3299, 1412, 11260, 876, 3299, 1412, 346, 281, 271, 269, 272, 325, 348, 910, 30080, 8339, 8971, 263, 24838, 14682, 1245, 22708, 7884, 3086, 602, 649, 723, 938, 8743, 6753, 543, 10297, 267, 649, 666, 1711, 519, 2681, 8663, 269, 1284, 3513, 946, 519, 2387, 3553, 13448, 16932, 13237, 543, 2387, 3553, 318, 29786, 13237, 2409, 547, 1305, 519, 1535, 543, 586, 7852, 10297, 267, 6606, 269, 3973, 267, 649, 3513, 946, 519, 2387, 10233, 8663, 13237, 1505, 547, 1711, 519, 2681, 8663, 267, 543, 519, 2387, 3553, 318, 12682, 1157, 18350, 1564, 13237, 1505, 547, 1305, 519, 8743, 10297, 269, 7053, 267, 649, 3513, 946, 519, 2387, 3553, 9078, 8475, 13237, 1505, 547, 1305, 519, 6003, 585, 519, 2681, 8663, 1384, 3499, 7090, 454, 1314, 15630, 13448, 16932, 3488, 259, 343, 27572, 1723, 15453, 1496, 636, 316, 5073, 1314, 15630, 318, 29786, 3488, 259, 344, 27572, 1723, 15453, 1496, 636, 316, 5073, 322, 8663, 815, 4453, 269, 10233, 8663, 263, 19112, 267, 4949, 284, 1314, 267, 24217, 284, 339, 1157, 9078, 665, 338, 994, 322, 8663, 269, 1314, 15630, 318, 12682, 1157, 18350, 1564, 6025, 1157, 9078, 629, 1564, 994, 322, 8663, 15630, 9078, 8475, 3488, 291, 3748, 1496, 11899, 8276, 259, 317, 274, 259, 316, 5073, 14808, 6745, 697, 9078, 599, 719, 4590, 10823, 20481, 4590, 7884, 2162, 13281, 519, 8943, 692, 2414, 1449, 938, 3009, 267, 649, 666, 9296, 618, 519, 1739, 3515, 1384, 3499, 7090, 454, 258, 1535, 343, 267, 586, 344, 267, 1990, 345, 267, 11002, 334, 14682, 5090, 815, 1628, 318, 274, 323, 24512, 263, 14620, 846, 18989, 2020, 258, 1820, 4590, 258, 1820, 3488, 26161, 2450, 281, 2715, 281, 271, 269, 272, 325, 348, 23729, 17879, 5052, 262, 315, 454, 258, 1363, 1547, 8971, 263, 15615, 4433, 903, 3052, 1115, 1125, 1993, 263, 24838, 14682, 5090, 4297, 1315, 476, 272, 269, 271, 324, 277, 11723, 258, 4729, 13448, 344, 5091, 3748, 263, 14620, 846, 18989, 994, 7884, 1607, 786, 1628, 513, 476, 274, 291, 5044, 543, 1820, 922, 2450, 538, 19251, 17879, 5052, 267, 1287, 4729, 519, 27976, 5860, 1210, 938, 2688, 2681, 8663, 780, 2162, 10390, 692, 1103, 713, 3296, 267, 649, 4121, 875, 547, 1711, 513, 2688, 2681, 8663, 609, 24217, 543, 10297, 585, 513, 476, 273, 291, 4729, 1210, 5124, 781, 32287, 5399, 269, 1284, 1031, 713, 4480, 547, 14650, 519, 5860, 540, 4154, 543, 13339, 538, 513, 476, 273, 291, 4729, 269, 901, 568, 513, 3532, 1907, 585, 1239, 14839, 267, 543, 666, 581, 1031, 538, 513, 3099, 540, 3156, 269, 0, 2080, 568, 606, 1349, 689, 513, 9226, 8193, 5850, 281, 3097, 8199, 815, 4482, 528, 318, 1706, 4461, 9131, 24838, 14682, 1245, 262, 6540, 825, 12693, 2368, 2688, 543, 2182, 322, 10757, 24217, 14322, 649, 786, 581, 1210, 4154, 543, 13339, 547, 3097, 825, 12693, 547, 1118, 938, 4482, 832, 267, 1522, 581, 26656, 547, 1118, 713, 6422, 585, 1079, 2326, 454, 825, 8743, 9078, 665, 338, 815, 1496, 271, 269, 271, 267, 11002, 334, 5334, 559, 6625, 267, 476, 4335, 271, 269, 271, 267, 476, 16020, 271, 269, 271, 267, 476, 1911, 876, 269, 271, 267, 476, 10219, 876, 269, 271, 12101, 454, 4449, 476, 5611, 876, 269, 271, 267, 476, 11260, 876, 269, 271, 267, 11002, 334, 14682, 1245, 2639, 825, 8743, 9078, 629, 1564, 815, 18358, 271, 3299, 1412, 346, 281, 271, 269, 272, 325, 348, 910, 13961, 8339, 8971, 263, 24838, 5334, 559, 6625, 1070, 1412, 4335, 271, 3299, 1412, 16020, 271, 3299, 26444, 7386, 1412, 1911, 876, 3299, 1412, 10219, 876, 3299, 1412, 5611, 876, 3299, 1412, 11260, 876, 3299, 1412, 346, 281, 271, 269, 272, 325, 348, 910, 30080, 8339, 8971, 263, 24838, 14682, 1245, 264, 6540, 825, 4949, 15630, 13448, 16932, 3488, 259, 343, 27572, 1723, 15453, 1496, 636, 316, 5073, 825, 4949, 15630, 318, 29786, 3488, 259, 344, 27572, 1723, 15453, 1496, 636, 316, 5073, 825, 524, 8663, 815, 4453, 269, 10233, 8663, 263, 19112, 267, 4949, 284, 1314, 267, 24217, 284 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3848, 476, 276, 281, 26492, 543, 31654, 1682, 540, 27223, 781, 4303, 692, 296, 269, 4985, 692, 11749, 20634, 781, 4303, 814, 1279, 1044, 9976, 607, 513, 1554, 540, 15832, 543, 15754, 269, 634, 1686, 540, 713, 9702, 666, 581, 14360, 1394, 547, 3504, 7507, 267, 1141, 621, 729, 1634, 607, 700, 10967, 5632, 807, 267, 513, 12680, 13037, 6131, 547, 13056, 684, 639, 267, 519, 4936, 5601, 540, 6683, 269, 3683, 942, 267, 27223, 781, 4303, 7960, 883, 513, 11812, 540, 11509, 2648, 267, 6825, 676, 7215, 540, 15754, 267, 13344, 267, 543, 17267, 540, 11587, 269, 769, 713, 3184, 267, 649, 5490, 4514, 883, 519, 5389, 543, 9821, 2404, 609, 713, 2442, 9702, 780, 2862, 269, 8466, 17461, 692, 288, 269, 9147, 17959, 692, 272, 269, 634, 4936, 13037, 540, 700, 10967, 5632, 807, 267, 4371, 1169, 1032, 593, 5988, 476, 1428, 628, 267, 28165, 519, 10971, 13056, 684, 639, 543, 700, 10967, 322, 639, 267, 945, 6870, 1352, 17731, 1091, 543, 741, 1166, 4169, 563, 273, 269, 4438, 700, 10967, 5632, 807, 267, 1762, 2367, 1131, 14816, 21736, 267, 1287, 946, 23820, 610, 2915, 2960, 627, 2354, 547, 838, 1678, 2021, 538, 1931, 547, 2327, 12680, 563, 274, 269, 901, 25384, 13037, 5555, 2968, 2404, 609, 853, 269, 27223, 267, 513, 4168, 12004, 10455, 13401, 1472, 476, 17734, 5084, 585, 7900, 5728, 7365, 18428, 1996, 519, 16858, 540, 14890, 19863, 3780, 4083, 780, 289, 269, 12472, 540, 27223, 781, 4303, 692, 272, 269, 1635, 519, 5664, 12698, 267, 27223, 781, 4303, 1185, 1831, 513, 11812, 540, 11509, 2648, 2429, 2342, 563, 273, 269, 932, 29694, 781, 834, 13640, 8365, 540, 674, 578, 3149, 2437, 2854, 538, 519, 3735, 476, 1691, 628, 2540, 267, 3568, 835, 540, 519, 9998, 8100, 547, 27223, 781, 4303, 607, 513, 18798, 262, 9702, 563, 274, 269, 9956, 2417, 2442, 1242, 519, 2856, 540, 27223, 781, 4303, 607, 513, 1554, 540, 15832, 998, 1010, 4249, 543, 5067, 26506, 780, 7656, 269, 7073, 26492, 543, 31654, 1682, 692, 288, 269, 25285, 540, 18748, 542, 692, 272, 269, 21998, 281, 4653, 267, 11488, 28551, 6486, 3788, 513, 2442, 1259, 547, 2769, 4606, 540, 2648, 543, 7071, 269, 4340, 547, 8065, 5658, 267, 5111, 476, 13970, 2929, 27223, 781, 4303, 6486, 616, 22121, 12422, 563, 273, 269, 717, 22284, 281, 5871, 13344, 1331, 669, 4377, 919, 267, 14446, 267, 543, 5810, 1765, 31860, 2699, 24712, 267, 29544, 5898, 543, 6612, 563, 274, 269, 30123, 999, 281, 20550, 1676, 7389, 267, 15964, 1205, 25498, 267, 543, 9983, 11509, 17267, 3136, 547, 581, 2442, 2081, 547, 8661, 27223, 781, 4303, 780, 289, 269, 8836, 7352, 566, 692, 272, 269, 3567, 281, 2201, 27223, 781, 4303, 538, 3567, 267, 621, 568, 22232, 585, 2021, 547, 1459, 10217, 13344, 547, 2367, 269, 9093, 2132, 519, 3870, 593, 4728, 476, 1691, 628, 267, 799, 568, 5219, 547, 607, 6519, 4303, 563, 273, 269, 3162, 9705, 281, 6684, 267, 538, 3162, 9705, 267, 972, 568, 849, 513, 2245, 1572, 834, 14937, 4303, 257, 593, 4989, 476, 1691, 628, 585, 1346, 945, 1705, 711, 4309, 1022, 13344, 1282, 27223, 781, 4303, 610, 6519, 4303, 269, 19893, 5531, 1927, 547, 3548, 3109, 21167, 1790, 4292, 30653, 543, 862, 529, 4733, 827, 741, 2582, 4567, 563, 274, 269, 16862, 543, 16157, 281, 5502, 540, 2757, 27223, 781, 6486, 267, 667, 6951, 5385, 20399, 3043, 5810, 1572, 6777, 323, 28979, 267, 1247, 7439, 933, 326, 2103, 6494, 834, 8615, 2131, 651, 12934, 2437, 14973, 6586, 2719, 18627, 9896, 1152, 609, 15956, 7222, 547, 519, 1297, 540, 5022, 538, 519, 30699, 781, 2012, 780, 4353, 269, 7351, 12367, 543, 7464, 21509, 6201, 692, 288, 269, 14044, 4406, 550, 1149, 692, 272, 269, 2060, 7760, 538, 2029, 267, 5691, 27223, 781, 4303, 2833, 723, 6591, 8560, 267, 2523, 9624, 1514, 26865, 3800, 1813, 547, 5046, 268, 866, 6855, 563, 273, 269, 11473, 7125, 267, 2228, 3756, 267, 543, 5691, 4266, 17334, 1683, 4244, 2081, 585, 15185, 547, 1921, 543, 8661, 741, 2648, 780, 289, 269, 32213, 11146, 692, 272, 269, 8895, 20634, 781, 4303, 281, 3213, 1441, 676, 14070, 1915, 15776, 12340, 12928, 2100, 689, 519, 7641, 3126, 20088, 543, 28046, 267, 8895, 20634, 781, 4303, 3217, 1747, 593, 5988, 476, 1724, 628, 543, 7512, 4775, 11505, 543, 17604, 563, 273, 269, 11806, 266, 7991, 281, 3509, 4213, 1631, 2709, 1482, 20967, 1130, 20634, 6486, 543, 25584, 267, 10452, 3395, 10343, 543, 13784, 1369, 2486, 780, 309, 269, 10390, 692, 2026, 7152, 2429, 713, 3184, 267, 27223, 781, 4303, 6585, 3638, 3140, 4644, 543, 5170, 547, 11457, 7258, 2413, 2528, 269, 3245, 922, 8129, 607, 513, 25384, 12680, 13037, 547, 922, 4207, 23314, 607, 513, 2518, 11812, 540, 2648, 267, 27223, 781, 4303, 3091, 2189, 3255, 585, 2043, 547, 1921, 267, 2671, 15754, 267, 543, 7119, 538, 3309, 2686, 2853, 269, 1306, 6848, 8155, 6521, 543, 1007, 4066, 10836, 267, 621, 568, 2693, 602, 27223, 781, 4303, 786, 6414, 607, 513, 19644, 8317, 585, 5481, 547, 2097, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23219, 940, 281, 2422, 540, 3768, 18249, 3586, 24199, 26113, 312, 7838, 299, 318, 2207, 303, 318, 2793, 300, 2464, 303, 19781, 910, 10924, 1412, 8025, 3041, 26113, 312, 7838, 299, 318, 2207, 303, 318, 2793, 300, 2464, 303, 19781, 262, 630, 10472, 786, 12235, 606, 18438, 538, 513, 2104, 4528, 540, 23285, 264, 538, 1315, 24610, 11305, 2396, 518, 270, 4178, 8276, 1678, 514, 1343, 976, 326, 731, 839, 2593, 9706, 3016, 318, 6255, 6447, 11320, 335, 9762, 550, 270, 680, 1872, 1231, 27160, 6470, 3146, 1417, 1790, 739, 338, 11320, 573, 12033, 270, 628, 1170, 574, 344, 14766, 318, 292, 6470, 13146, 15803, 318, 310, 573, 1326, 21703, 593, 1899, 476, 1704, 2806, 559, 2940, 779, 27223, 779, 4303, 4741, 20620, 4263, 631, 1678, 514, 543, 25860, 12567, 779, 267, 649, 2648, 27223, 779, 4303, 269, 1703, 568, 1100, 1732, 1554, 547, 2671, 1018, 649, 798, 1655, 609, 938, 2146, 269, 1284, 723, 1044, 8600, 585, 4374, 585, 5988, 476, 1691, 628, 543, 649, 723, 3388, 596, 991, 713, 1032, 547, 1397, 602, 2027, 2576, 875, 1454, 596, 1416, 269, 22067, 538, 543, 1294, 519, 1390, 5542, 540, 24712, 543, 824, 5810, 547, 1118, 707, 27223, 12837, 563, 4407, 3025, 22842, 27223, 779, 4303, 8335, 267, 649, 4941, 547, 2671, 513, 1906, 4388, 585, 1818, 2386, 707, 9702, 4422, 1055, 1510, 513, 554, 3558, 912, 763, 1883, 547, 513, 1390, 27223, 779, 4303, 568, 513, 2370, 3787, 540, 4058, 269, 6056, 827, 875, 707, 1554, 568, 2469, 547, 1404, 856, 269, 1403, 596, 1131, 899, 547, 2285, 707, 1713, 824, 865, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9199, 1885, 543, 31654, 1682, 257, 607, 851, 540, 834, 16300, 13493, 1315, 32733, 1299, 18270, 725, 1315, 27223, 781, 4303, 2668, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 780, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 267, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 267, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 769, 713, 1576, 1770, 267, 649, 5490, 883, 519, 10848, 4478, 519, 7844, 19724, 640, 19088, 1108, 267, 4481, 607, 621, 25701, 547, 7489, 4892, 543, 7414, 6816, 619, 630, 288, 4338, 296, 264, 1369, 519, 2796, 540, 1977, 6965, 269, 634, 2203, 12102, 7242, 267, 799, 6591, 20086, 1282, 519, 476, 3422, 271, 338, 6406, 7126, 11873, 267, 11475, 589, 4338, 3674, 607, 25144, 3811, 267, 1164, 268, 778, 773, 1324, 2043, 267, 25848, 1005, 1713, 13103, 602, 2291, 1851, 1585, 6803, 2516, 896, 519, 589, 4338, 296, 22597, 269, 901, 936, 13678, 680, 2305, 8309, 547, 11528, 10168, 543, 12042, 619, 17604, 3646, 1063, 12790, 2950, 269, 1635, 6313, 9954, 2854, 676, 7489, 1977, 543, 7414, 29474, 15023, 267, 649, 786, 2263, 875, 891, 5159, 4161, 519, 10148, 13684, 676, 519, 2203, 12102, 7242, 1247, 11589, 741, 2189, 2833, 543, 9163, 780, 296, 269, 8466, 12745, 540, 519, 7844, 19724, 640, 19088, 454, 2414, 1174, 519, 6286, 540, 519, 2203, 12102, 7242, 267, 621, 781, 1898, 547, 4983, 922, 8129, 543, 1646, 2429, 1686, 269, 4438, 519, 2022, 28131, 2782, 4083, 5736, 267, 2797, 10196, 29464, 808, 269, 717, 753, 22579, 519, 2165, 834, 22131, 26382, 14940, 2437, 13288, 547, 17319, 28930, 725, 609, 2686, 5389, 2864, 982, 7184, 3824, 11712, 7292, 9163, 269, 4014, 717, 753, 4294, 713, 1523, 5097, 547, 3864, 11082, 267, 14519, 4166, 6905, 12572, 14940, 547, 1306, 2103, 21945, 538, 3013, 1310, 2622, 2782, 4083, 269, 9182, 267, 7489, 4892, 3459, 1373, 9228, 607, 513, 4630, 18100, 1895, 540, 2182, 11529, 267, 10995, 267, 543, 1876, 268, 629, 4575, 4961, 12544, 22880, 4334, 547, 3979, 4892, 10010, 1996, 12250, 1242, 10168, 780, 1607, 8226, 6039, 2789, 5301, 269, 3689, 267, 621, 4847, 3043, 14761, 547, 17854, 12902, 1394, 31077, 2962, 4507, 676, 15738, 856, 519, 9277, 18454, 540, 7489, 4892, 1510, 14344, 29886, 14227, 7496, 5185, 676, 824, 5634, 527, 1242, 2516, 269, 5822, 267, 10771, 519, 10781, 540, 7489, 4892, 1219, 21124, 9880, 2476, 689, 11528, 2152, 12735, 5224, 4563, 543, 5824, 343, 2950, 269, 7053, 267, 519, 2203, 12102, 7242, 27838, 6498, 1063, 589, 4338, 3674, 543, 824, 12790, 2516, 267, 1167, 15758, 954, 24055, 5755, 1431, 2556, 585, 1514, 1689, 780, 2862, 269, 8177, 540, 519, 7844, 19724, 640, 19088, 593, 589, 4338, 296, 14740, 19725, 454, 763, 2203, 12102, 7242, 5222, 1367, 3961, 5250, 3157, 1369, 519, 589, 4338, 296, 2146, 269, 853, 699, 12111, 673, 6788, 666, 1711, 2604, 547, 14883, 547, 1808, 5107, 543, 5615, 2404, 609, 4081, 17284, 543, 2883, 6617, 269, 1280, 3236, 267, 7325, 1470, 595, 14008, 10011, 320, 532, 267, 4171, 1920, 688, 2812, 689, 519, 29401, 6243, 855, 29084, 538, 1715, 3840, 4975, 267, 1522, 1745, 25997, 547, 15666, 547, 519, 2203, 12102, 3239, 1813, 547, 6848, 12503, 5103, 2348, 6404, 6561, 269, 1452, 5007, 7506, 949, 3337, 1582, 12656, 4003, 543, 3565, 547, 4835, 1242, 15746, 780, 7656, 269, 7313, 2045, 18650, 18830, 519, 7844, 19724, 640, 19088, 454, 8601, 6849, 971, 2591, 267, 1082, 589, 4338, 296, 15023, 946, 14235, 607, 513, 1797, 540, 4187, 1996, 519, 32604, 540, 519, 2203, 12102, 7242, 269, 4256, 1568, 7866, 3309, 2833, 543, 6386, 1419, 15763, 538, 13416, 11407, 269, 5565, 8037, 10070, 12013, 4328, 19621, 7903, 3724, 1996, 519, 2203, 12102, 7242, 616, 9149, 268, 21930, 10557, 781, 3883, 540, 3733, 715, 2074, 543, 595, 4331, 5244, 15173, 781, 19933, 19933, 7169, 780, 288, 269, 9149, 268, 21930, 10557, 781, 3883, 540, 3733, 715, 2074, 454, 30537, 268, 21930, 10557, 267, 606, 28601, 4457, 1977, 10564, 267, 7710, 4798, 540, 3965, 267, 3961, 267, 543, 22686, 3347, 538, 3883, 540, 3733, 715, 2074, 269, 3571, 960, 1016, 591, 1206, 2757, 11994, 540, 7489, 4892, 607, 10419, 783, 30707, 610, 14980, 31356, 269, 5502, 267, 10557, 28420, 15982, 8090, 3838, 1063, 5481, 267, 10223, 1312, 9620, 543, 29217, 4810, 676, 7489, 19366, 3885, 269, 3414, 12667, 11052, 543, 11430, 3740, 1893, 267, 10557, 19267, 513, 13857, 4605, 540, 589, 4338, 296, 1272, 3564, 519, 7522, 9165, 3989, 676, 519, 2203, 12102, 7242, 780, 289, 269, 595, 4331, 5244, 15173, 781, 19933, 19933, 7169, 454, 1103, 1200, 4015, 19933, 19933, 7169, 267, 11114, 1977, 10564, 595, 4331, 5244, 15173, 15359, 1206, 519, 7687, 5116, 2390, 589, 4338, 296, 2021, 676, 2486, 543, 2442, 2528, 269, 14301, 6667, 689, 12048, 5577, 2575, 543, 5691, 4641, 11080, 267, 1352, 13492, 5499, 18627, 602, 5706, 11008, 1436, 543, 2736, 1863, 689, 6671, 8155, 269, 15173, 31886, 519, 2144, 5501, 540, 589, 4338, 296, 12583, 543, 7418, 1247, 4101, 3988, 547, 556, 29264, 26608, 18727, 18765, 3823, 5198, 267, 4008, 267, 543, 1379, 6384, 780, 4353, 269, 12634, 25684, 543, 28249, 1275, 454, 2026, 7152, 676, 4207, 5322, 899, 1948, 1805, 641, 2026, 1014, 295, 622, 543, 1948, 14937, 299, 1161, 300, 2660, 267, 28622, 4249, 513, 2629 ]

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

[ 2480, 1117, 30389, 267, 519, 17765, 814, 1044, 8655, 547, 513, 1880, 5872, 269, 634, 5106, 602, 568, 8655, 547, 519, 17765, 814, 547, 581, 8737, 547, 1847, 593, 547, 519, 1985, 5106, 563, 763, 1152, 4480, 602, 666, 581, 8246, 585, 1114, 8800, 5933, 269, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 4523, 950, 606, 11346, 13788, 519, 1796, 8386, 1533, 610, 7475, 563, 347, 13640, 600, 4394, 540, 18948, 1475, 7093, 3319, 633, 2480, 1117, 30389, 1475, 15239, 1790, 516, 3319, 633, 2480, 1117, 30389, 2008, 26180, 2716, 2225, 1475, 2005, 568, 8465, 13954, 2005, 568, 1875, 1922, 2716, 1043, 8198, 18871, 739, 1475, 2005, 568, 1942, 23938, 13954, 2005, 568, 1875, 21057, 2404, 8198, 347, 2704, 326, 3596, 332, 1475, 2005, 814, 606, 5690, 540, 16841, 15175, 13954, 2005, 814, 1100, 971, 5690, 585, 16841, 15175, 8198, 347, 11328, 8306, 1475, 763, 1184, 666, 581, 29169, 3362, 13954, 763, 1184, 3112, 581, 29169, 8198, 347, 9573, 308, 13345, 1475, 5415, 3608, 1475, 27832, 3608, 2008, 1432, 568, 2776, 3319, 633, 2480, 1117, 30389, 888, 2005, 568, 519, 1599, 540, 519, 17765, 11674, 518, 547, 15814, 513, 4783, 547, 519, 17765, 693, 8726, 1448, 519, 17765, 568, 538, 519, 29680, 1533, 269, 634, 17765, 11674, 518, 23297, 513, 4783, 689, 519, 5423, 1899, 543, 3651, 338, 519, 5872, 547, 519, 17765, 563, 1103, 713, 2186, 540, 4058, 267, 519, 7221, 630, 9573, 308, 18888, 264, 723, 1044, 11280, 547, 7500, 585, 513, 11658, 2268, 540, 942, 269, 1323, 5106, 666, 581, 29169, 950, 621, 568, 1373, 5340, 610, 13401, 563, 1103, 840, 680, 10165, 4058, 267, 538, 519, 2680, 602, 513, 4783, 602, 814, 513, 1164, 991, 2982, 909, 538, 519, 5423, 1899, 267, 519, 5106, 799, 814, 513, 1970, 991, 4991, 11074, 267, 543, 1577, 779, 9096, 519, 5106, 609, 1164, 991, 563, 10112, 11167, 593, 519, 1055, 4960, 602, 513, 4783, 602, 814, 519, 1034, 29810, 991, 2982, 909, 267, 713, 5106, 3085, 1406, 3180, 585, 519, 2898, 5106, 547, 9096, 563, 305, 1430, 982, 1018, 621, 786, 798, 267, 621, 786, 14443, 519, 4783, 543, 1118, 519, 1184, 11931, 267, 543, 621, 786, 1376, 519, 5106, 585, 602, 1184, 799, 814, 1164, 10862, 563, 1607, 2636, 519, 4783, 547, 1205, 8737, 267, 799, 814, 2362, 10862, 982, 519, 824, 267, 543, 2899, 519, 5106, 568, 936, 267, 621, 786, 1376, 519, 1985, 835, 563, 17798, 2059, 891, 3515, 267, 1169, 835, 540, 519, 4238, 799, 616, 538, 519, 3015, 1899, 4991, 606, 4998, 4316, 547, 2196, 563, 1432, 568, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 888, 763, 5106, 799, 4523, 950, 513, 1184, 7475, 610, 2242, 689, 5571, 547, 7996, 585, 1533, 713, 4990, 540, 17765, 5106, 568, 1572, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 563, 1607, 1826, 540, 20319, 568, 4294, 950, 519, 4238, 616, 8737, 689, 835, 1533, 547, 519, 824, 563, 1103, 713, 1826, 540, 1184, 267, 621, 1281, 711, 723, 519, 1599, 547, 14443, 519, 5106, 899, 538, 2776, 3319, 633, 835, 267, 865, 1018, 4523, 568, 2899, 519, 1184, 568, 3323, 267, 621, 786, 581, 8737, 1510, 1022, 954, 8306, 563, 2005, 568, 3622, 1317, 267, 538, 6348, 268, 2776, 3319, 633, 2480, 1117, 30389, 267, 621, 1281, 711, 723, 519, 1599, 547, 14443, 519, 5106, 538, 1063, 267, 1813, 547, 799, 621, 814, 547, 7227, 2899, 519, 1101, 5106, 568, 8737, 563, 5472, 1919, 2808, 267, 621, 6585, 909, 11489, 519, 4783, 26088, 922, 5106, 267, 543, 1287, 2899, 621, 568, 936, 267, 621, 786, 581, 11843, 547, 519, 824, 5106, 563, 763, 1152, 4640, 602, 666, 581, 8246, 585, 1114, 8800, 5933, 269, 2334, 568, 593, 519, 12406, 602, 621, 2115, 1808, 3937, 899, 13390, 1081, 776, 2480, 1117, 30389, 563, 1103, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 267, 972, 568, 1100, 971, 5690, 585, 15175, 16841, 5106, 1813, 547, 799, 17765, 814, 547, 7227, 2394, 519, 1985, 5106, 568, 11843, 563, 2026, 621, 3112, 581, 29169, 267, 4061, 799, 2306, 519, 6348, 1790, 516, 3319, 633, 2480, 1117, 30389, 607, 538, 1922, 2716, 1043, 607, 3379, 547, 2776, 3319, 633, 2480, 1117, 30389, 454, 14611, 20212, 9737, 2776, 3319, 633, 543, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 538, 21952, 7010, 454, 268, 769, 2776, 3319, 633, 2480, 1117, 30389, 267, 519, 1184, 666, 581, 29169, 3362, 267, 1247, 538, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 267, 519, 4783, 799, 568, 2469, 593, 621, 814, 547, 581, 8737, 1101, 547, 1847, 593, 547, 519, 1985, 4783, 563, 268, 769, 2776, 3319, 633, 2480, 1117, 30389, 267, 519, 1184, 814, 606, 16841, 607, 621, 814, 547, 8430, 2789, 4238, 267, 1247, 538, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 267, 972, 568, 4986, 899, 602, 1317, 621, 3085, 1406, 1683, 1022, 1599, 585, 519, 954, 8306, 538, 1063, 519, 1184, 563, 268, 2776, 3319, 633, 2480, 1117, 30389, 568, 8465, 9217, 4318, 1421, 666, 581, 3362, 12012, 264, 538, 2470, 3379, 547, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 267, 799, 568, 711, 563, 268, 769, 2776, 3319, 633, 2480, 1117, 30389, 267, 519, 1184, 799, 814, 519, 2362, 10862, 568, 2016, 1101, 267, 1247, 538, 519, 2013, 540, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 267, 519, 5106, 799, 568, 2469, 593, 814, 547, 581, 8737, 547, 1847, 593, 547, 519, 1985, 835, 563, 268, 2776, 3319, 633, 2480, 1117, 30389, 568, 1942, 15807, 547, 2196, 519, 5106, 596, 991, 547, 2628, 267, 1247, 538, 519, 2013, 540, 6348, 6261, 516, 3319, 633, 2480, 1117, 30389, 267, 621, 568, 11207, 1942, 6954, 563, 296, 4076, 2322, 865, 1454, 4674, 1603, 713, 5816, 2022, 547, 1683, 1871, 547, 596, 269, 898, 3580, 581, 1360, 5363, 585, 803, 267, 952, 596, 2015, 4687, 621, 593, 1514, 2923, 610, 609, 707, 2828, 11721, 13637, 269, 15562, 2752, 5058, 4959, 2340, 503, 354, 20804, 454, 306, 663, 324, 788, 645, 8518, 926, 6585, 513, 25328, 540, 7177, 538, 23675, 689, 774, 777, 541, 2160, 630, 1220, 277, 1040, 1261, 814, 476, 736, 1296, 540, 1995, 538, 519, 2029, 2361, 269, 1261, 814, 513, 16994, 1719, 538, 1585, 2930, 4610, 267, 1519, 6538, 1949, 267, 2780, 5121, 267, 543, 5752, 269, 1411, 666, 1224, 811, 827, 1864, 593, 1010, 6915, 2985, 269, 0, 1103, 606, 4674, 547, 2327, 8471, 3782, 1569, 543, 13468, 519, 11411, 540, 2564, 9276, 593, 20019, 27797, 2043, 267, 519, 6554, 540, 3127, 5189, 519, 623, 2784, 7315, 31615, 686, 3967, 589, 549, 4445, 320, 962, 19390, 3570, 630, 15014, 297, 17751, 264, 10325, 269, 5487, 684, 3481, 538, 5181, 476, 1001, 279, 267, 6751, 297, 17751, 6663, 547, 1683, 1863, 2126, 547, 6634, 540, 14718, 18689, 25808, 2066, 519, 2197, 269, 901, 2376, 2488, 513, 5618, 855, 2143, 7778, 540, 519, 6751, 297, 17751, 10325, 267, 922, 6859, 267, 543, 875, 621, 2640, 2043, 538, 991, 540, 2564, 1416, 563, 1432, 568, 6751, 297, 17751, 888, 763, 623, 2784, 7315, 31615, 686, 3967, 589, 549, 4445, 320, 962, 19390, 3570, 630, 15014, 297, 17751, 1070, 849, 1634, 607, 15718, 2313, 2006, 32038, 520, 610, 519, 2817, 2657, 10466, 30868, 267, 568, 513, 17514, 1222, 3782, 11036, 540, 519, 4095, 2229, 269, 634, 10325, 11394, 547, 1683, 2883, 4027, 547, 936, 476, 2004, 5186, 516, 2043, 543, 741, 3885, 267, 4180, 1569, 547, 2298, 3782, 2533, 1510, 1651, 584, 2590, 1022, 856, 6361, 1790, 12714, 9276, 563, 11917, 16633, 540, 6751, 297, 17751, 912, 763, 6751, 297, 17751, 10325, 814, 1896, 1883, 6859, 912, 320, 269, 17629, 16195, 7457, 281, 6751, 297, 17751, 6663, 547, 1683, 1569, 547, 3782, 2533, 585, 782, 4961, 267, 28000, 540, 741, 14227, 4567, 610, 4087, 563, 321, 269, 11038, 10466, 281, 634, 10325, 6663, 547, 2149, 7925, 3885, 689, 21472, 3782, 24723, 676, 3246, 1863, 2126, 585, 513, 2647, 2039, 540, 2564, 2175, 563, 322, 269, 25085, 532, 6468, 281, 6751, 297, 17751, 11363, 519, 10014, 540, 2021, 267, 4180, 789, 4309, 3160, 1569, 547, 3782, 2533, 563, 323, 269, 10312, 593, 10866, 281, 634, 10325, 6212, 593, 7393, 519, 2298, 540, 3782, 2533, 9447, 547, 18689, 25808, 998, 3227, 534, 601, 539, 1857, 543, 4357, 10506, 563, 2414, 1992, 540, 519, 2640, 896, 519, 6751, 297, 17751, 10325, 267, 2043, 1590, 11886, 519, 1739, 7355, 912, 320, 269, 17502, 1470, 11296, 21073, 281, 634, 10325, 5097, 9072, 2043, 10362, 547, 17215, 21260, 6810, 543, 7925, 8739, 20300, 2516, 563, 321, 269, 22384, 281, 5484, 1030, 545, 25808, 616, 4857, 998, 519, 17502, 1470, 7232, 5677, 595, 4292, 17227, 630, 306, 4488, 290, 264, 476, 1001, 272, 1239, 267, 4180, 602, 1346, 538, 991, 4309, 519, 2556, 1489, 563, 290, 1478, 720, 543, 11588, 912, 15152, 519, 6751, 297, 17751, 10325, 267, 14718, 18689, 25808, 616, 13886, 547, 513, 2039, 540, 2640, 267, 1519, 912, 320, 269, 769, 18345, 11233, 1436, 281, 634, 10325, 6227, 519, 1942, 540, 30674, 267, 1519, 4055, 10997, 267, 2564, 5773, 267, 26129, 267, 543, 6646, 563, 321, 269, 2776, 268, 543, 5403, 6953, 2214, 1388, 1436, 5890, 5151, 281, 6751, 297, 17751, 849, 6227, 9276, 30309, 1282, 519, 476, 1428, 2395, 1991, 547, 6413, 16075, 543, 476, 1428, 2395, 1310, 11166, 563, 322, 269, 4303, 3249, 30332, 281, 15742, 9138, 5773, 602, 798, 711, 2154, 16074, 6413, 13978, 616, 4988, 896, 519, 10325, 563, 323, 269, 22418, 1652, 3690, 13905, 281, 6751, 297, 17751, 3792, 1206, 513, 6666, 1652, 2126, 1935, 267, 7175, 18689, 25808, 547, 1992, 2933, 540, 2126, 1510, 1022, 909, 12506, 11033, 693, 3227, 534, 601, 539, 10506, 563, 15014, 297, 17751, 814, 513, 3060, 540, 3227, 534, 601, 539, 1857, 543, 4357, 10506, 2066, 3127, 269, 5484, 1030, 545, 25808, 666, 3442, 689, 891, 3227, 534, 601, 539, 10506, 1759, 593, 741, 13283, 543, 16133, 269, 1452, 10506, 616, 2838, 547, 2743, 519, 2556, 2298, 4441, 543, 1683, 2126, 1863, 540, 1942, 547, 14718, 18689, 25808, 563, 1692, 547, 2997, 841, 519, 11588, 912, 2414, 1992, 540, 519, 2640, 540, 6751, 297, 17751, 267, 18689, 25808, 666, 1246, 891, 3268, 912, 320, 269, 22384, 281, 6744, 952, 596, 616, 14718, 585, 6751, 297, 17751, 1759, 593, 519, 22444, 290, 476, 1001, 272, 1239, 610, 3914, 856, 547, 519, 14282, 6751, 297, 17751, 737, 3930, 330, 610, 5871, 6796, 4741, 630, 5425, 290, 264, 585, 6351, 563, 321, 269, 7638, 2305, 281, 5192, 707, 25046, 20240, 543, 4309, 519, 2556, 6751, 297, 17751, 552, 2275, 731, 267, 799, 3568, 707, 2189, 8446, 3877, 563, 322, 269, 11233, 16731, 281, 7994, 606, 3227, 534, 601, 539, 6413, 540, 707, 13283, 543, 1459, 707, 6751, 297, 17751, 552, 2275, 731, 693, 519, 6413, 779, 14261, 11380, 1282, 16075, 563, 323, 269, 9615, 281, 25547, 633, 519, 2838, 2126, 1510, 1022, 8569, 693, 519, 3227, 534, 601, 539, 6413, 563, 763, 623, 2784, 7315, 31615, 686, 3967, 589, 549, 4445, 320, 962, 19390, 3570, 630, 15014, 297, 17751, 264, 10325, 814, 7153, 607, 513, 1713, 1900, 2509, 4180, 10097, 543, 3015, 3782, 585, 782, 538, 3127, 269, 1635, 3246, 1863, 2126, 543, 2883, 4027, 267, 6751, 297, 17751, 568, 1818, 513, 2318, 1764, 593, 519, 2729, 540, 6634, 540, 18689, 25808, 267, 3226, 1346, 689, 17215, 7925, 10080, 269, 2060, 519, 6751, 297, 17751, 10325, 538, 1747, 267, 2043, 543, 3885, 666, 1631, 1992, 2933, 540, 2298, 3782, 2533, 1510, 519, 4250, 540, 608, 528, 4226, 656, 2564, 9276, 563, 8855, 267, 1072, 568, 938, 6574, 5763, 267, 543, 6751, 297, 17751, 568, 2324, 2509, 17420, 621, 585, 782, 4961, 540, 3127, 563, 11514, 25068, 281, 634, 1344, 3177, 538, 713, 2376, 568, 585, 3872, 5301, 1152, 543, 1058, 711, 581, 2808, 607, 3318, 5796, 269, 7490, 5077, 609, 4143, 8128, 610, 3782, 4648, 585, 4977, 543, 909, 3562, 15082, 1344, 593, 519, 6751, 297, 17751, 10325, 563, 272, 2219, 593, 968, 15014, 297, 17751, 30868, 281, 589, 18043, 11137, 540, 5131, 9615, 585, 2353, 892, 0, 10527, 16618, 1686, 540, 12866, 667, 1442, 543, 4516, 7345, 7536, 2005, 568, 2182, 547, 4952, 12866, 667, 1442, 543, 519, 4478, 1016, 31755, 540, 519, 4975, 540, 4516, 7345, 607, 4376, 855, 4207, 543, 14421, 641, 13457, 269, 645, 2940, 987, 519, 21743, 267, 22058, 730, 7252, 267, 22538, 2946, 17446, 543, 29667 ]

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

[ 299, 545, 10234, 538, 9235, 267, 23718, 14560, 21409, 543, 12423, 1007, 4025, 267, 4529, 543, 1004, 282, 543, 540, 1576, 267, 835, 540, 1200, 19463, 4025, 547, 2972, 513, 1434, 9702, 568, 11894, 267, 1141, 1352, 1256, 5249, 607, 513, 4663, 3391, 269, 1703, 616, 1906, 4025, 538, 26277, 16288, 602, 1352, 18387, 1406, 10272, 2507, 865, 1352, 568, 519, 835, 945, 1443, 2478, 519, 1964, 540, 721, 950, 649, 2951, 269, 0, 5415, 982, 476, 4510, 274, 267, 31239, 1453, 538, 3345, 10491, 616, 1426, 538, 31261, 630, 293, 29623, 3013, 1916, 763, 3345, 10491, 1426, 22584, 2557, 568, 476, 1428, 269, 280, 260, 543, 519, 1126, 1426, 22584, 2557, 568, 476, 2190, 269, 277, 260, 630, 15933, 1744, 583, 1479, 1916, 763, 4013, 6710, 1899, 585, 513, 1920, 540, 2185, 568, 1175, 936, 1269, 273, 267, 4968, 829, 3923, 269, 2334, 779, 10199, 2614, 547, 2628, 585, 1152, 8027, 543, 1126, 3249, 267, 6028, 4986, 585, 6283, 267, 1426, 267, 1072, 1416, 267, 9204, 267, 610, 7963, 11033, 269, 769, 1228, 12930, 13848, 3196, 3885, 547, 3442, 1063, 10519, 543, 1426, 267, 1063, 9660, 543, 3154, 267, 1063, 1126, 1416, 543, 1072, 1416, 267, 543, 824, 22266, 4123, 32187, 602, 24183, 741, 2702, 547, 8853, 269, 630, 10998, 20907, 1299, 12525, 4741, 779, 12389, 20677, 9208, 994, 1432, 12017, 518, 6496, 547, 5753, 454, 7021, 476, 1626, 2929, 1453, 538, 3013, 616, 10010, 609, 14000, 269, 4634, 835, 14406, 7594, 666, 2800, 513, 1126, 779, 1646, 269, 8437, 1934, 547, 4585, 513, 3381, 689, 519, 3220, 269, 23520, 1397, 593, 14000, 538, 1453, 563, 21609, 1426, 22584, 814, 849, 1044, 2404, 609, 26447, 14524, 267, 17867, 11605, 543, 4057, 4081, 2773, 269, 12017, 787, 1453, 616, 811, 2693, 547, 6560, 538, 1153, 267, 10956, 513, 3446, 267, 4309, 2027, 2069, 2533, 610, 2154, 2790, 1072, 13508, 269, 19974, 4965, 267, 4160, 267, 29338, 267, 14699, 267, 543, 29047, 1361, 566, 723, 782, 1044, 5532, 547, 1426, 22584, 269, 3502, 2348, 2614, 547, 3548, 568, 513, 2707, 540, 17847, 269, 1937, 787, 610, 10462, 827, 1426, 27499, 2790, 1648, 543, 8309, 547, 519, 6757, 1786, 342, 540, 2566, 535, 558, 5034, 676, 6710, 269, 630, 10998, 24770, 3194, 8750, 994, 21609, 3125, 14000, 1185, 3376, 2039, 2942, 2360, 593, 513, 1126, 779, 1072, 267, 17133, 267, 19174, 267, 7553, 543, 1514, 1134, 5630, 269, 8437, 1934, 547, 1294, 519, 1249, 6656, 689, 3143, 17718, 12017, 787, 270, 18704, 938, 23848, 563, 15933, 538, 31261, 1453, 949, 581, 693, 3152, 1981, 540, 1854, 3599, 543, 1153, 512, 731, 1465, 269, 1879, 789, 616, 538, 1153, 267, 1453, 945, 616, 1426, 538, 31261, 949, 2833, 4679, 538, 606, 5044, 540, 2623, 2042, 1519, 281, 8165, 267, 30759, 267, 14699, 267, 4160, 267, 7099, 23638, 267, 543, 11648, 630, 293, 29623, 3013, 1916, 2414, 1451, 811, 827, 6689, 14000, 267, 5225, 979, 547, 281, 0, 7628, 4411, 4365, 267, 519, 1560, 781, 7378, 4187, 4679, 267, 3170, 7213, 12885, 711, 1152, 896, 519, 2960, 267, 855, 849, 1472, 4835, 8219, 267, 538, 519, 2281, 540, 519, 18558, 543, 6797, 269, 1284, 2744, 3063, 6550, 538, 5162, 1813, 547, 513, 1447, 3742, 6197, 267, 607, 1134, 607, 519, 7287, 547, 3548, 811, 9761, 3536, 269, 12594, 626, 744, 802, 3570, 4787, 1388, 1231, 10798, 320, 5143, 1018, 6484, 1058, 581, 899, 713, 4005, 538, 1931, 711, 547, 2744, 2597, 563, 4002, 1200, 9365, 2985, 267, 4787, 1388, 1231, 10798, 320, 5143, 1018, 649, 666, 798, 585, 938, 1072, 543, 547, 2226, 938, 4137, 538, 5162, 269, 3689, 540, 782, 267, 519, 6484, 626, 1443, 2478, 1519, 811, 6775, 538, 707, 2732, 1107, 17436, 267, 22481, 267, 581, 1115, 267, 30383, 3694, 269, 769, 1840, 267, 621, 568, 4502, 7110, 532, 519, 2732, 609, 2472, 602, 2270, 8324, 595, 543, 667, 267, 607, 1134, 607, 3165, 3282, 267, 28279, 715, 8042, 563, 6097, 547, 519, 4274, 267, 25496, 3536, 1107, 865, 8898, 13212, 267, 10487, 17064, 571, 583, 1107, 786, 948, 2226, 3339, 10307, 543, 31480, 267, 25496, 5144, 2472, 267, 14043, 737, 341, 817, 563, 763, 6484, 626, 7074, 602, 4568, 25815, 1524, 10307, 269, 898, 568, 1271, 547, 4235, 2614, 3636, 1216, 2429, 519, 1554, 585, 519, 2500, 8647, 540, 23020, 3157, 538, 2281, 563, 20597, 8558, 10798, 320, 15091, 602, 538, 5162, 621, 568, 1271, 547, 1205, 513, 1434, 1964, 693, 3781, 267, 2094, 3668, 540, 3207, 4679, 7378, 4187, 269, 1280, 713, 2601, 267, 1082, 1004, 2253, 547, 13498, 4006, 607, 952, 789, 723, 3987, 563, 763, 4274, 24016, 711, 547, 7340, 827, 2168, 2534, 267, 799, 24506, 7378, 4187, 543, 2337, 1426, 711, 2490, 883, 3170, 563, 7093, 16227, 267, 513, 6484, 626, 5143, 803, 2436, 621, 568, 2009, 547, 3548, 521, 25775, 1247, 9561, 2597, 269, 0, 2108, 2791, 3657, 1548, 1411, 16202, 27535, 4208, 901, 568, 2290, 590, 11691, 1411, 9701, 6875, 5395, 13124, 454, 2171, 616, 711, 8806, 2168, 4703, 269, 1548, 649, 6430, 547, 798, 1169, 1554, 1765, 31347, 649, 3442, 547, 4105, 1125, 938, 20339, 998, 1148, 267, 20801, 998, 938, 11436, 267, 1666, 330, 538, 938, 6068, 3283, 685, 4527, 267, 610, 3251, 1225, 1194, 909, 538, 1151, 3363, 12544, 977, 338, 711, 1152, 938, 1560, 855, 849, 938, 1648, 543, 8788, 269, 3502, 15645, 908, 1018, 649, 798, 593, 513, 3232, 4493, 27137, 607, 2324, 811, 982, 16889, 1765, 4754, 3362, 2014, 606, 19261, 602, 7161, 707, 4155, 547, 2168, 543, 5289, 8788, 563, 1607, 7954, 849, 2882, 1018, 649, 6430, 547, 3548, 269, 5253, 568, 519, 1883, 547, 30196, 513, 3152, 4656, 540, 6000, 543, 875, 649, 666, 1732, 2844, 938, 11455, 1072, 269, 769, 824, 1913, 281, 596, 5963, 616, 1018, 596, 3548, 269, 3371, 779, 811, 593, 519, 2956, 540, 2921, 713, 6031, 12517, 11652, 875, 547, 1376, 3257, 865, 585, 3054, 563, 3963, 596, 616, 1018, 596, 3548, 281, 875, 1426, 5540, 707, 1134, 5630, 454, 763, 2956, 540, 1426, 568, 711, 1007, 1702, 269, 3509, 4529, 723, 1044, 14120, 519, 957, 540, 4189, 585, 5553, 267, 689, 519, 7111, 4892, 685, 5289, 18428, 585, 13687, 547, 519, 9099, 2259, 540, 594, 1111, 541, 1765, 3602, 12356, 2736, 741, 30782, 3728, 676, 4189, 1614, 7389, 269, 1717, 267, 971, 1702, 568, 1419, 4503, 950, 835, 8483, 1115, 519, 9322, 1063, 1560, 543, 9997, 269, 898, 2337, 547, 7618, 3054, 540, 602, 4276, 269, 1635, 9878, 3007, 547, 707, 14000, 543, 875, 596, 14183, 621, 267, 596, 666, 12260, 1271, 3344, 540, 3054, 269, 3776, 26351, 2995, 721, 1018, 649, 991, 547, 16138, 880, 6000, 9308, 11652, 267, 538, 2490, 267, 32375, 269, 2659, 1426, 5079, 723, 10096, 563, 2691, 519, 6855, 3459, 267, 585, 1383, 267, 30644, 4313, 3536, 2968, 5051, 2442, 1813, 547, 741, 2702, 547, 1683, 3929, 8323, 1282, 971, 7334, 2053, 269, 14856, 1978, 3536, 666, 849, 2087, 2790, 1072, 543, 3929, 6617, 269, 769, 1249, 267, 519, 476, 1708, 271, 3332, 2689, 968, 8469, 10882, 10791, 543, 922, 11588, 593, 2657, 543, 10076, 2657, 892, 9060, 602, 20170, 547, 513, 11335, 2732, 1765, 4621, 12371, 540, 2898, 3766, 1778, 1426, 267, 16872, 267, 543, 10808, 1765, 4754, 2539, 707, 1981, 540, 3384, 4160, 543, 4965, 269, 1411, 723, 519, 4316, 547, 2263, 875, 1426, 5540, 707, 2898, 1582, 543, 3548, 9935, 269, 3371, 779, 875, 596, 666, 2253, 563, 1692, 547, 3548, 585, 4824, 1648, 543, 8788, 454, 289, 2590, 3666, 547, 707, 6676, 454, 7312, 1560, 543, 782, 922, 3334, 3747, 29454, 267, 543, 602, 7569, 3666, 269, 16202, 689, 782, 1426, 2516, 281, 5388, 543, 5613, 267, 3940, 267, 2898, 9274, 267, 2635, 11041, 267, 543, 1216, 269, 18227, 713, 11466, 2337, 596, 2844, 707, 1560, 543, 2247, 269, 898, 666, 1256, 2953, 2250, 20817, 267, 899, 2597, 2744, 934, 29471, 689, 14432, 4189, 6208, 269, 769, 1249, 267, 519, 1034, 4264, 2597, 2530, 3292, 695, 684, 535, 611, 11326, 899, 10433, 18274, 525, 543, 23097, 648, 11326, 267, 799, 3895, 9422, 22975, 998, 519, 12604, 2331, 4616, 540, 930, 1426, 2516, 543, 711, 1866, 269, 5502, 267, 891, 3292, 4363, 6947, 547, 707, 1560, 543, 4758, 621, 1018, 621, 2115, 269, 16202, 689, 1585, 1426, 2516, 269, 2311, 519, 1482, 942, 267, 6432, 547, 707, 2295, 543, 32696, 538, 707, 5172, 3536, 1169, 1631, 543, 1287, 269, 5457, 602, 972, 568, 1100, 971, 3364, 607, 968, 16591, 892, 610, 968, 21112, 892, 3536, 1765, 21671, 968, 333, 8130, 1190, 892, 543, 968, 1652, 14312, 3034, 306, 2948, 6980, 609, 707, 6068, 3283, 454, 1692, 1419, 723, 596, 15534, 332, 14800, 569, 561, 684, 3481, 1247, 8384, 513, 28923, 1397, 286, 12344, 596, 616, 538, 519, 2259, 540, 2324, 1247, 596, 3548, 269, 901, 568, 1572, 2247, 1652, 4189, 11652, 621, 779, 9244, 5532, 547, 1312, 4160, 543, 2597, 2744, 269, 1879, 596, 3548, 899, 713, 267, 596, 616, 711, 5265, 26621, 707, 1426, 610, 3054, 269, 10395, 520, 713, 676, 8026, 13533, 4189, 269, 10925, 2476, 782, 19240, 543, 1445, 707, 12823, 593, 519, 7594, 538, 4395, 540, 596, 267, 1519, 922, 24462, 267, 18282, 267, 543, 16919, 269, 5457, 602, 707, 1560, 14598, 13499, 585, 713, 1426, 543, 602, 2901, 596, 610, 513, 6068, 835, 24617, 22876, 3293, 621, 607, 606, 957, 540, 1416, 269, 19457, 513, 7594, 609, 1920, 543, 2828, 666, 849, 3986, 519, 4189, 1995, 269, 17949, 532, 1426, 607, 513, 2146, 568, 606, 2085, 6040, 1480, 2245, 602, 2636, 596, 547, 5660, 707, 1426, 543, 1346, 1472, 596, 563, 15933, 568, 1898, 585, 782, 519, 1114, 2694, 540, 596, 269, 1411, 616, 1018, 596, 3548, 269, 23496, 602, 707, 6980, 616, 27357, 267, 2635, 267, 543, 28025, 5260, 1819, 2636, 596, 547, 8956, 3054, 538, 2490, 269, 1284, 4126, 713, 2376, 814, 1044, 3730, 543, 786, 948, 596, 563, 7312, 595, 5746, 23140, 4456, 0, 3849, 2194, 532, 547, 519, 21744, 14464, 11106, 538, 18815, 454, 763, 6283, 2872, 568, 835, 540, 519, 1034, 6385, 4657, 6080, 538, 519, 1158, 269, 1306, 2029, 5170, 547, 11457, 267, 865, 1932, 1281, 519, 1259, 649, 2951, 269, 14464, 4987, 630, 9590, 264, 568, 4730, 606, 5051, 1271, 1909, 538, 519, 6283, 2872, 267, 543, 3549, 1590, 3082, 547, 519, 2242, 952, 789, 1616, 547, 2611, 8013, 269, 769, 713, 5816, 2022, 267, 649, 3580, 1491, 513, 1413, 693, 875, 3642, 568, 4657, 519, 6283, 2872, 543, 1018, 3549, 666, 798, 547, 3251, 6619, 540, 519, 7455, 563, 763, 19663, 10020, 540, 3642, 538, 18815, 454, 9590, 568, 4730, 606, 5051, 1271, 1909, 538, 519, 6283, 2872, 267, 609, 3156, 8151, 689, 14628, 6472, 547, 16762, 12642, 269, 32534, 6472, 616, 6472, 602, 616, 5827, 540, 10188, 741, 1604, 1510, 519, 991, 585, 513, 1480, 9920, 269, 901, 2029, 568, 1373, 2919, 676, 3549, 899, 772, 828, 267, 10158, 15879, 267, 543, 23592, 267, 543, 568, 4397, 547, 22499, 519, 1259, 649, 2951, 269, 21023, 633, 12642, 568, 1776, 3498, 540, 3642, 538, 519, 6283, 2872, 269, 901, 2029, 666, 581, 1031, 547, 3589, 6075, 2623, 543, 11126, 11507, 543, 16131, 269, 3642, 666, 849, 581, 1031, 547, 3713, 543, 2061, 12611, 267, 2087, 3106, 267, 543, 2569, 6808, 20316, 563, 763, 11588, 540, 3642, 538, 18815, 454, 763, 946, 540, 3642, 538, 519, 6283, 2872, 6770, 1082, 2640, 269, 32534, 6472, 723, 519, 1761, 547, 2569, 10913, 543, 28896, 267, 607, 1134, 607, 2569, 6808, 20316, 269, 21023, 633, 12642, 666, 948, 3549, 11126, 11507, 543, 16131, 267, 7551, 4227, 3790, 543, 5355, 6075, 9547, 269, 3642, 666, 849, 581, 1031, 547, 3713, 543, 2061, 12611, 267, 5355, 3106, 543, 3354, 585, 15915, 543, 12427, 7567, 269, 7053, 267, 3642, 666, 581, 1031, 547, 2087, 519, 2949, 6075, 1995, 267, 609, 3156, 971, 607, 10531, 7840, 543, 1483, 6066, 10311, 563, 1692, 14992, 2052, 11154, 547, 3642, 538, 18815, 454, 1103, 1931, 547, 2611, 8013, 267, 3549, 1590, 3082, 547, 519, 4657, 5251, 540, 3642, 538, 6283, 269, 901, 1797, 10115, 538, 3642, 14617, 4066, 971, 607, 14628, 6472, 267, 16762, 12642, 267, 543, 12611, 7020, 269, 14992, 1058, 849, 1902, 538, 2866, 741, 5520, 593, 519, 946, 540, 891, 4066, 267, 607, 1134, 607, 3384, 2994, 547, 31194, 593, 519, 3255, 4843, 676, 3642, 269, 7053, 267, 3549, 1058, 1445, 593, 2870, 513, 6075 ]

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

[ 634, 8798, 540, 713, 14262, 3301, 814, 513, 4241, 1686, 609, 1896, 9670, 5013, 269, 769, 713, 2376, 267, 649, 786, 10625, 5722, 10578, 5013, 827, 519, 8798, 540, 3859, 1648, 3301, 602, 786, 15052, 707, 1620, 540, 922, 4720, 543, 1764, 563, 268, 7216, 4886, 538, 519, 476, 1960, 271, 338, 281, 2552, 9009, 547, 2442, 3661, 267, 519, 1646, 540, 3859, 1648, 3301, 3459, 607, 2038, 607, 519, 476, 1960, 271, 338, 269, 12824, 543, 3301, 8030, 6444, 519, 1761, 585, 2780, 13502, 547, 5351, 538, 3859, 1062, 1374, 543, 11938, 269, 4014, 519, 2029, 729, 5266, 18642, 3379, 547, 2221, 779, 4359, 3301, 3435, 267, 621, 9788, 519, 5748, 585, 519, 1646, 540, 811, 10427, 2645, 563, 268, 16949, 540, 22127, 6176, 7010, 630, 31043, 2567, 2290, 540, 519, 1713, 23484, 538, 3859, 1648, 3301, 729, 519, 5610, 540, 22127, 6176, 7010, 630, 31043, 1040, 1635, 6220, 22944, 2029, 267, 9367, 941, 2111, 547, 20272, 10923, 1239, 267, 3859, 5982, 2157, 267, 543, 27864, 2079, 811, 8308, 269, 901, 5610, 5129, 513, 2629, 1909, 538, 5688, 2358, 519, 17568, 543, 1374, 540, 3859, 19698, 585, 5021, 1648, 5108, 563, 268, 22685, 5406, 540, 10724, 4804, 543, 14464, 11106, 281, 1306, 3859, 1648, 3301, 7960, 267, 9367, 3459, 16107, 3684, 1565, 543, 5841, 4987, 630, 9590, 264, 6620, 547, 3986, 922, 7207, 269, 1452, 4066, 13087, 519, 3301, 547, 1451, 689, 3140, 1239, 267, 3589, 3859, 3977, 267, 543, 5688, 1047, 1062, 2773, 269, 10724, 1565, 543, 3642, 6620, 3136, 547, 1404, 513, 4105, 1909, 538, 5355, 519, 4398, 543, 6111, 540, 3859, 1648, 3301, 563, 268, 22547, 540, 13192, 15369, 10298, 281, 634, 8798, 540, 6531, 7384, 4547, 513, 1007, 10155, 547, 3859, 1648, 3301, 269, 13192, 2861, 3435, 4847, 585, 6552, 1569, 267, 1239, 4859, 267, 543, 5698, 2066, 6887, 543, 6753, 269, 901, 6521, 17515, 519, 991, 585, 593, 1790, 8145, 2478, 13763, 267, 4227, 3790, 543, 5355, 10333, 585, 4213, 540, 782, 7306, 563, 268, 23207, 10312, 593, 7464, 6874, 830, 16424, 281, 21992, 906, 538, 2029, 19658, 1483, 6066, 5464, 7207, 1369, 3859, 1648, 3301, 269, 901, 4183, 6087, 4213, 547, 6895, 1062, 2773, 267, 3950, 1648, 2504, 267, 543, 2697, 1022, 2152, 14678, 269, 7464, 6066, 5464, 16877, 3859, 4648, 547, 1118, 14942, 3664, 267, 5688, 1047, 1648, 5108, 267, 543, 16425, 2232, 1022, 5826, 610, 4398, 4145, 563, 268, 28841, 883, 6052, 5004, 7010, 281, 634, 8798, 540, 3859, 1648, 3301, 21490, 519, 1259, 585, 922, 5610, 883, 6626, 1648, 2359, 1949, 269, 901, 7269, 4847, 4213, 547, 9192, 3859, 1648, 1239, 609, 1648, 4616, 1239, 267, 7175, 3102, 1648, 2359, 543, 11938, 269, 634, 3301, 779, 2702, 547, 11753, 609, 824, 7791, 1648, 2959, 543, 4859, 1949, 2417, 8309, 547, 922, 17545, 543, 7145, 269, 0, 17138, 281, 1215, 1677, 13760, 543, 13782, 622, 3127, 779, 14216, 29719, 16572, 454, 19328, 779, 12045, 4031, 616, 513, 1305, 540, 6042, 602, 1827, 519, 9467, 543, 2359, 540, 2883, 7405, 267, 971, 607, 20304, 543, 3681, 269, 4197, 891, 4031, 568, 2629, 585, 4896, 3238, 538, 519, 4095, 16755, 2344, 269, 901, 1900, 8386, 9912, 3391, 786, 948, 596, 6330, 998, 519, 1950, 5773, 4478, 3127, 779, 14216, 29719, 16572, 563, 3721, 2290, 281, 13760, 519, 17943, 540, 14216, 643, 2510, 454, 6524, 11362, 883, 519, 14960, 540, 12045, 4031, 267, 621, 568, 1271, 547, 917, 1018, 16755, 616, 269, 1358, 3277, 547, 11731, 4171, 1871, 568, 2048, 21710, 685, 689, 606, 5817, 10697, 269, 634, 1034, 1455, 3029, 540, 16755, 616, 20304, 543, 3681, 563, 3721, 5565, 281, 25800, 23126, 609, 519, 27943, 645, 3672, 454, 1103, 3127, 267, 519, 1883, 9431, 4703, 585, 12045, 9467, 616, 519, 1530, 15247, 543, 16510, 8274, 540, 3127, 630, 10345, 10292, 264, 543, 519, 9757, 14351, 1401, 577, 5190, 269, 10323, 10292, 1106, 12885, 4507, 543, 21560, 12045, 6990, 267, 1247, 1401, 577, 5190, 1683, 519, 3760, 585, 9467, 563, 3721, 8422, 281, 6258, 6168, 519, 4095, 14216, 29719, 10369, 454, 308, 2955, 519, 2497, 540, 519, 4095, 12045, 2344, 269, 898, 2882, 519, 9698, 16755, 2344, 267, 9304, 16755, 2344, 267, 543, 20161, 16755, 2344, 269, 3962, 2344, 5205, 922, 1378, 1305, 540, 3652, 563, 3721, 9050, 281, 5530, 519, 1530, 15247, 20260, 338, 630, 8802, 1637, 264, 2920, 267, 476, 4198, 277, 454, 1607, 568, 519, 3119, 1876, 12044, 16755, 538, 3127, 269, 898, 11225, 1018, 13054, 2048, 1457, 643, 2510, 685, 543, 5036, 856, 519, 3652, 585, 741, 9467, 563, 3721, 12866, 281, 13760, 20260, 10410, 5874, 454, 9336, 12045, 4579, 814, 922, 1378, 16551, 9788, 856, 676, 10323, 10292, 269, 1452, 1331, 519, 1826, 540, 5817, 10697, 267, 4579, 2450, 267, 1163, 597, 344, 4266, 267, 3092, 269, 25800, 3054, 609, 891, 16551, 1354, 9467, 563, 3721, 14520, 281, 5700, 2659, 7126, 543, 744, 4565, 580, 725, 454, 17843, 2010, 540, 16755, 2097, 609, 1114, 2924, 543, 13800, 585, 18046, 543, 23965, 269, 18897, 5699, 1174, 891, 1354, 10024, 883, 1022, 11731, 563, 3721, 18599, 281, 9457, 519, 16610, 540, 12540, 1456, 454, 10345, 10292, 814, 11311, 3652, 585, 5768, 1456, 538, 12045, 9467, 269, 4197, 875, 5768, 1456, 1568, 568, 2629, 585, 1981, 2359, 563, 3721, 20640, 281, 6258, 6168, 519, 5590, 25557, 6713, 454, 763, 11175, 1184, 568, 1271, 547, 1174, 2094, 621, 9598, 919, 875, 16755, 11731, 616, 6806, 269, 10323, 10292, 2488, 1808, 3652, 3823, 519, 11175, 540, 12045, 11731, 563, 3721, 27607, 281, 13773, 21213, 609, 27943, 15448, 454, 10345, 10292, 21237, 2306, 2242, 547, 519, 12045, 4031, 607, 543, 950, 2838, 269, 4427, 30533, 532, 547, 10323, 10292, 711, 5874, 610, 3377, 24393, 666, 948, 596, 3251, 8242, 609, 519, 5767, 2242, 563, 3721, 14210, 281, 13693, 513, 13751, 16869, 454, 2252, 596, 1265, 891, 4031, 1932, 1950, 547, 1174, 593, 707, 1378, 267, 2015, 17874, 513, 3656, 4274, 21751, 538, 2883, 4031, 563, 8855, 267, 1620, 543, 10188, 3127, 779, 12045, 4031, 3217, 942, 543, 9639, 269, 1717, 267, 621, 568, 606, 1898, 5578, 585, 4896, 3238, 538, 519, 4095, 16755, 2344, 269, 2060, 30190, 1353, 543, 2259, 267, 596, 666, 1831, 740, 30794, 693, 1620, 543, 10188, 891, 1950, 4031, 269 ]

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

[ 4217, 3906, 609, 741, 3039, 2679, 543, 4264, 1374, 3853, 9497, 20059, 618, 13437, 20257, 715, 5746, 8490, 7010, 267, 519, 20736, 560, 9257, 267, 543, 670, 1149, 12013, 1518, 519, 20656, 543, 2773, 540, 519, 3039, 2679, 2872, 538, 2789, 9922, 563, 763, 20736, 560, 9257, 7577, 28483, 1701, 23968, 5622, 256, 16010, 269, 1696, 7205, 3057, 476, 277, 267, 476, 1220, 280, 693, 5291, 2517, 321, 714, 13885, 1695, 5622, 2593, 270, 545, 270, 12553, 270, 12553, 277, 1240, 11258, 454, 20059, 618, 13437, 1701, 670, 2562, 2464, 269, 1696, 7205, 3057, 476, 277, 267, 476, 1220, 280, 693, 5291, 2517, 4178, 19544, 1149, 2593, 30032, 4034, 618, 270, 704, 18504, 269, 5684, 343, 454, 301, 5746, 269, 834, 8702, 547, 715, 5746, 6828, 1701, 1696, 7205, 3057, 476, 277, 267, 476, 1220, 280, 693, 5291, 2517, 4178, 8542, 4290, 335, 2593, 2507, 1496, 5649, 2859, 2639, 4322, 8069, 1590, 2844, 7443, 2406, 543, 6961, 267, 17215, 543, 2845, 12264, 1946, 5499, 834, 13582, 257, 3761, 11800, 616, 1483, 12264, 811, 2500, 982, 519, 4567, 28943, 540, 3140, 27147, 269, 8033, 5224, 2069, 538, 1312, 6101, 543, 13016, 535, 1662, 687, 1590, 581, 2919, 547, 2333, 519, 12117, 540, 519, 27147, 8665, 267, 609, 2543, 547, 834, 13582, 257, 11449, 269, 21744, 1312, 1804, 543, 1507, 3919, 3270, 585, 27147, 666, 5555, 8945, 548, 1524, 547, 1256, 519, 1034, 4608, 2130, 6800, 267, 540, 799, 972, 568, 513, 546, 13388, 1782, 1297, 269, 590, 709, 10623, 267, 2488, 513, 1592, 540, 2825, 2773, 10832, 799, 723, 1831, 5051, 1271, 543, 25992, 2152, 538, 2221, 781, 2504, 2486, 563, 1220, 277, 267, 533, 269, 1428, 264, 13797, 264, 519, 1870, 4128, 585, 834, 13582, 518, 11449, 4840, 2467, 616, 12777, 7366, 540, 4128, 585, 519, 1646, 540, 4264, 1870, 2853, 267, 711, 519, 2547, 540, 799, 568, 4180, 519, 1279, 3856, 6228, 540, 519, 1870, 543, 2504, 2115, 563, 16449, 1346, 602, 616, 1034, 1271, 616, 519, 1739, 912, 306, 20980, 2504, 281, 623, 3420, 2084, 834, 13582, 257, 10597, 4264, 2504, 8796, 1496, 5649, 2859, 2639, 19575, 571, 7043, 31645, 21126, 2622, 6052, 454, 21328, 568, 513, 1360, 1271, 851, 540, 938, 2729, 543, 519, 1158, 602, 649, 2661, 538, 2221, 269, 898, 814, 2141, 1044, 1271, 2094, 519, 942, 602, 519, 3425, 1031, 547, 798, 782, 741, 960, 676, 2933, 547, 519, 2053, 950, 789, 3323, 1210, 2831, 543, 1256, 2221, 950, 649, 1118, 946, 540, 519, 1648, 2959, 1472, 721, 547, 3132, 1648, 971, 607, 5201, 563, 9213, 938, 1292, 2707, 540, 1648, 616, 519, 15455, 10173, 602, 4465, 1405, 2063, 11014, 607, 267, 789, 1491, 6634, 540, 1296, 547, 1106, 543, 1360, 2370, 942, 547, 1205, 1031, 607, 513, 2707, 540, 1648, 269, 2290, 540, 519, 1360, 1271, 4145, 540, 2221, 781, 942, 568, 519, 3432, 609, 799, 649, 616, 10438, 891, 8093, 10173, 543, 875, 621, 786, 581, 1360, 2352, 585, 721, 547, 1832, 909, 609, 519, 2799, 3747, 799, 568, 4397, 547, 5595, 676, 476, 13078, 271, 607, 519, 2551, 568, 4397, 8796, 1496, 5649, 2859, 2639, 2891, 293, 1601, 559, 17540, 1564, 543, 30200, 2437, 562, 6155, 1421, 476, 15876, 4534, 476, 21497, 994, 763, 1764, 540, 2842, 11396, 593, 519, 2067, 5251, 568, 5538, 17331, 269, 901, 568, 1317, 930, 2950, 1589, 602, 519, 8289, 540, 1804, 4610, 568, 21006, 519, 29278, 269, 15845, 540, 713, 666, 581, 2938, 538, 26795, 781, 966, 710, 12881, 269, 1548, 5949, 568, 1082, 7264, 3459, 547, 28586, 891, 5686, 540, 3785, 856, 540, 4145, 827, 875, 713, 786, 1764, 741, 5784, 269, 901, 3366, 547, 1918, 13920, 827, 1141, 547, 1747, 2842, 11396, 269, 1306, 513, 1267, 267, 28288, 8044, 602, 9591, 891, 4610, 538, 1114, 6753, 786, 581, 4101, 269, 901, 568, 950, 519, 1788, 786, 3068, 2799, 17799, 543, 2362, 3790, 269, 9497, 293, 1601, 559, 17540, 1564, 543, 30200, 2437, 562, 6155, 1421, 476, 15876, 4534, 476, 21497, 994, 26794, 540, 6489, 5295, 454, 8601, 519, 6811, 540, 17837, 267, 519, 4641, 568, 602, 519, 946, 540, 2842, 1379, 568, 513, 14323, 4199, 269, 589, 1434, 1383, 540, 713, 666, 581, 2938, 609, 16862, 630, 15367, 7472, 476, 736, 260, 540, 741, 2698, 1648, 8796, 1496, 5649, 2859, 2639, 17471, 1648, 543, 2916, 6859, 723, 8329, 547, 519, 2799, 1646, 543, 946, 540, 7791, 2959, 540, 1648, 602, 1445, 593, 1447, 2287, 519, 1604, 1764, 540, 10451, 1648, 269, 634, 6671, 2959, 540, 1648, 723, 8329, 547, 1713, 2825, 5222, 267, 2523, 2916, 1689, 269, 634, 2825, 5222, 602, 616, 4547, 676, 12998, 540, 8511, 9362, 689, 6671, 1648, 2959, 616, 1439, 836, 1359, 519, 1158, 781, 8134, 543, 1480, 1272, 269, 1306, 513, 1267, 267, 7791, 1648, 2959, 616, 2808, 607, 5078, 8925, 547, 948, 24390, 2825, 5222, 1247, 5870, 1648, 2115, 269, 1703, 616, 1585, 7791, 1648, 2959, 602, 616, 9833, 607, 5078, 8925, 547, 6671, 2959, 1519, 3859, 267, 2842, 267, 543, 3167, 1648, 269, 4634, 1498, 891, 2959, 723, 8766, 2825, 5222, 3379, 547, 6671, 2959, 540, 1648, 267, 789, 616, 711, 1942, 15807, 2943, 563, 23530, 267, 11272, 543, 6489, 6052, 454, 20360, 1648, 814, 1044, 2808, 607, 835, 540, 519, 14949, 1648, 5108, 2409, 7429, 6671, 2959, 540, 1648, 8796, 1496, 5649, 2859, 2639, 763, 2413, 1158, 814, 1044, 6353, 609, 1896, 2825, 2152, 538, 519, 2487, 2250, 1519, 2067, 4199, 22930, 267, 2916, 1689, 267, 5533, 267, 543, 936, 28134, 269, 1717, 267, 2916, 1689, 814, 13631, 1713, 3007, 1317, 540, 2799, 2825, 1764, 540, 22713, 543, 14051, 269, 8693, 1689, 568, 7361, 30289, 547, 519, 1699, 1648, 2959, 267, 799, 3136, 547, 1860, 519, 1604, 269, 1306, 513, 1267, 267, 519, 3406, 585, 513, 5078, 1648, 2707, 609, 2370, 547, 1100, 2825, 1198, 814, 1831, 513, 2101, 3390, 585, 14519, 267, 6608, 267, 543, 2825, 1235, 269, 6736, 6671, 5784, 602, 6046, 1379, 568, 5667, 340, 3386, 267, 2487, 2090, 543, 7194, 723, 2808, 621, 513, 2973, 1648, 2707, 269, 901, 814, 8329, 547, 7440, 543, 4831, 268, 1173, 3701, 593, 2436, 6046, 1648, 568, 2973, 543, 2922, 585, 519, 1604, 269, 6736, 2348, 2370, 547, 1100, 12998, 540, 5906, 9362, 267, 6046, 1648, 568, 5667, 20980, 950, 2808, 689, 606, 2804, 543, 1514, 5133, 563, 763, 8865, 585, 17437, 6052, 454, 1103, 519, 2250, 1906, 8796, 1496, 5649, 2859, 2639, 22897, 30540, 5113, 454, 763, 2278, 540, 713, 3210, 814, 1044, 4280, 547, 2328, 606, 12819, 1557, 602, 7740, 593, 2436, 1480, 2029, 666, 4688, 519, 1158, 950, 621, 2501, 547, 1919, 899, 2916, 1689, 269, 634, 2243, 568, 711, 606, 2653, 835, 547, 2626, 269, 1703, 616, 1346, 602, 2161, 602, 1256, 952, 519, 1239, 1305, 1634, 547, 30768, 568, 711, 2347, 267, 713, 3112, 22321, 721, 711, 547, 957, 1317, 649, 1058, 711, 7227, 2394, 621, 568, 1932, 3735, 269, 1703, 616, 1866, 602, 2303, 602, 519, 4541, 786, 20818, 922, 786, 593, 30768, 1100, 2339, 1018, 3425, 798, 610, 798, 711, 798, 543, 519, 4527, 610, 946, 540, 2029, 786, 711, 1689, 602, 269, 1717, 267, 1034, 1004, 2887, 12341, 538, 519, 1647, 610, 5310, 1256, 3494, 602, 519, 1259, 547, 4688, 519, 4541, 568, 2907, 1634, 543, 1175, 2115, 547, 581, 8045, 269, 554, 850, 621, 4992, 1434, 547, 2303, 602, 3425, 666, 4729, 519, 8796, 1496, 5649, 2859, 2639, 7437, 1382, 593, 519, 4220, 602, 2097, 609, 20879, 543, 5755, 585, 1648, 2371, 267, 972, 666, 581, 8990, 540, 799, 1851, 519, 1079, 568, 1732, 585, 1480, 6940, 563, 16675, 2777, 9362, 454, 25821, 640, 2371, 602, 946, 5755, 585, 5201, 2504, 5305, 1804, 5666, 540, 8511, 9362, 543, 824, 14107, 602, 616, 5739, 547, 519, 1604, 267, 12946, 602, 5755, 568, 14095, 609, 1164, 2157, 540, 30691, 269, 7324, 891, 9362, 568, 16247, 8166, 602, 2164, 538, 3679, 4764, 5250, 543, 3702, 550, 22930, 540, 1604, 543, 1256, 3959, 602, 568, 19535, 547, 16247, 545, 3679, 269, 21193, 4088, 27911, 616, 849, 3812, 543, 1927, 609, 966, 302, 5425, 1267, 547, 1159, 690, 5250, 269, 22358, 568, 849, 3812, 7258, 12539, 8166, 799, 616, 1463, 20334, 547, 2942, 2916, 1689, 630, 12385, 1492, 9749, 267, 476, 1001, 273, 1916, 4002, 519, 824, 1688, 267, 538, 519, 6046, 1379, 2371, 972, 568, 1100, 2504, 540, 9362, 971, 607, 9436, 27911, 267, 16247, 27911, 267, 3327, 8166, 267, 16035, 610, 971, 824, 6757, 9362, 269, 1403, 8796, 1496, 5649, 2859, 2639, 16675, 609, 6176, 5303, 454, 2467, 814, 1044, 513, 7222, 2208, 538, 10124, 538, 1344, 2029, 543, 519, 6284, 602, 3549, 540, 782, 7306, 543, 2010, 1590, 2569, 741, 1764, 593, 741, 1604, 676, 12561, 865, 10777, 3039, 2853, 269, 1280, 2890, 1532, 5350, 525, 609, 1175, 835, 610, 513, 1906, 5520, 267, 713, 949, 1611, 1945, 607, 2241, 607, 9657, 11956, 23691, 543, 1957, 267, 855, 585, 3677, 16904, 267, 2469, 3039, 949, 1611, 519, 5092, 540, 1713, 5666, 540, 2200, 909, 4395, 609, 519, 20772, 602, 519, 2628, 3724, 593, 891, 9541, 786, 581, 26656, 267, 1312, 538, 2474, 540, 1648, 9806, 607, 1134, 607, 998, 606, 4824, 9746, 3239, 269, 1677, 3313, 875, 3549, 666, 4324, 689, 2469, 3039, 2221, 267, 713, 1957, 2488, 513, 2689, 540, 519, 4143, 3332, 547, 1683, 513, 4214, 540, 2469, 3039, 609, 1344, 2029, 267, 606, 2079, 540, 519, 1764, 540, 2469, 3039, 609, 1344, 2029, 593, 519, 1604, 267, 543, 513, 4901, 7282, 519, 5294, 8796, 1496, 5649, 2859, 2639, 16391, 545, 22447, 5682, 16373, 9866, 3569, 543, 5800, 12859, 5811, 454, 8256, 28366, 262, 4690, 538, 11449, 5214, 2472, 1058, 581, 5402, 5701, 676, 12696, 267, 676, 21625, 267, 543, 676, 2344, 619, 602, 1020, 2994, 5497, 547, 2333, 4616, 538, 891, 2127, 269, 17667, 5144, 568, 606, 1271, 2344, 10126, 6353, 676, 513, 6213, 1587, 602, 3340, 12696, 547, 2743, 1164, 4441, 3823, 741, 2504, 1184, 269, 5682, 6725, 2994, 616, 5497, 547, 11168, 1604, 7874, 2853, 267, 543, 711, 547, 13587, 633, 5561, 543, 3765, 548, 611, 873, 883, 3206, 971, 2472, 2232, 1164, 10357, 7888, 4441, 950, 538, 1249, 789, 798, 711, 269, 901, 2079, 6212, 593, 5214, 5144, 543, 593, 2436, 610, 711, 621, 568, 7561, 3039, 30630, 676, 21625, 563, 763, 2079, 540, 2344, 3466, 8761, 5561, 262, 2799, 1719, 538, 11449, 543, 1210, 5214, 2472, 269, 634, 5383, 540, 1418, 923, 7048, 593, 741, 7805, 3310, 593, 2043, 262, 1072, 267, 4352, 513, 1353, 2919, 676, 3703, 3744, 1705, 711, 1265, 1713, 6454, 3812, 676, 8796, 1496, 5649, 2859, 2639, 22025, 1113, 547, 2569, 2146, 4187, 547, 1007, 7835, 630, 16675, 476, 1220, 276, 994, 763, 1761, 547, 4688, 593, 1648, 3790, 568, 540, 1164, 4644, 1813, 547, 519, 4473, 538, 5210, 4810, 676, 519, 5318, 5354, 540, 6671, 22908, 1282, 519, 4832, 12405, 269, 1230, 14846, 32072, 666, 3914, 607, 1164, 607, 476, 5611, 5232, 896, 519, 3905, 4832, 3141, 267, 713, 3123, 834, 322, 944, 532, 543, 5122, 2115, 7914, 13497, 267, 799, 4679, 3790, 543, 1379, 6165, 257, 630, 19465, 267, 476, 1220, 278, 267, 533, 269, 476, 3953, 1916, 9743, 16226, 513, 3039, 10664, 1062, 593, 606, 4540, 2497, 6971, 519, 1942, 547, 3002, 610, 3579, 519, 2679, 269, 901, 568, 1152, 835, 540, 1082, 1463, 2640, 547, 519, 2754, 4433, 264, 610, 2043, 9878, 519, 1648, 3915, 563, 19465, 23508, 281, 15346, 543, 3039, 22908, 630, 1220, 278, 264, 29844, 267, 5292, 269, 476, 6200, 267, 3143, 269, 476, 1015, 267, 6032, 269, 476, 3953, 268, 3451, 454, 4467, 17980, 267, 808, 1421, 630, 1220, 277, 264, 681, 996, 9722, 519, 3039, 8122, 267, 12713, 290, 19564, 267, 5292, 269, 476, 280, 267, 3143, 269, 476, 4343, 267, 6032, 269, 476, 2412, 4534, 476, 6078, 454, 16675, 10162, 1993, 338, 585, 13245, 20079, 630, 1220, 276, 264, 5291, 2517, 4178, 3052, 2240, 549, 1993, 338, 3820, 27651, 21703, 286, 641, 5406, 284, 1260, 318, 20880, 261, 339, 2532, 284, 1613, 261, 573, 284, 2918, 261, 2005, 655, 573, 284, 2412, 267, 15600, 5988, 8796, 1496, 5649, 2859, 2639, 288, 2077, 582, 27318, 3310, 2392, 558, 3990, 1927, 609, 519, 7326, 543, 1565, 540, 824, 3504, 5830, 267, 1247, 519, 5449, 729, 1419, 1031, 607, 513, 5943, 585, 7214, 9840, 799, 11593, 9450, 1312, 6138, 543, 824, 2127, 540, 1702, 630, 294, 7949, 476 ]

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

[ 21633, 568, 513, 2783, 538, 799, 11178, 14189, 568, 711, 1818, 2614, 11178, 10399, 269, 898, 849, 1797, 896, 5562, 11178, 563, 2304, 23862, 2060, 14523, 1054, 21633, 454, 32481, 476, 3199, 2600, 540, 30847, 568, 3361, 676, 16991, 2068, 267, 543, 16991, 3676, 616, 811, 1455, 538, 2021, 563, 10454, 2068, 568, 1419, 22420, 267, 543, 519, 2949, 1981, 540, 3384, 30847, 568, 1164, 952, 835, 814, 513, 1920, 1686, 540, 11178, 2068, 2437, 1767, 3220, 3474, 698, 2701, 628, 267, 13636, 6481, 10615, 267, 2806, 321, 2714, 3127, 563, 295, 1662, 574, 9369, 779, 11178, 4345, 3123, 3043, 1973, 2281, 543, 12489, 547, 4323, 519, 11178, 269, 898, 568, 835, 540, 519, 3123, 540, 30847, 563, 306, 17790, 8851, 540, 11178, 267, 22787, 11178, 989, 523, 8412, 267, 9552, 540, 519, 11178, 676, 14599, 22752, 267, 543, 11955, 899, 993, 1675, 541, 821, 616, 824, 3123, 540, 713, 2783, 563, 763, 4191, 543, 2589, 540, 30847, 4268, 689, 1268, 547, 1268, 269, 570, 1600, 1145, 267, 13165, 267, 2597, 2744, 267, 3819, 2960, 267, 19228, 267, 1928, 538, 10549, 267, 12150, 2295, 2557, 267, 23762, 11178, 14189, 267, 12150, 28689, 267, 4965, 267, 4552, 2530, 267, 20026, 267, 3002, 22166, 267, 1688, 12152, 528, 267, 3586, 4743, 540, 4411, 543, 4617, 6091, 616, 930, 2589, 540, 713, 2783, 563, 2710, 1411, 5620, 14523, 1054, 21633, 888, 1607, 476, 272, 18826, 6709, 714, 786, 948, 596, 2638, 952, 596, 723, 30847, 563, 29797, 1054, 21633, 568, 513, 1360, 1455, 2068, 269, 4935, 267, 621, 568, 711, 16613, 602, 20968, 8557, 2550, 723, 606, 2404, 630, 344, 564, 796, 30009, 264, 2783, 602, 666, 849, 3565, 547, 519, 2589, 269, 1452, 666, 1331, 17350, 267, 2367, 641, 30167, 6794, 267, 1776, 16991, 2068, 267, 3092, 23102, 21293, 645, 1014, 1723, 267, 11022, 267, 12854, 454, 303, 9007, 550, 30847, 666, 581, 3927, 5701, 267, 1498, 711, 23174, 269, 2290, 1455, 2126, 568, 26550, 18333, 6918, 710, 267, 513, 812, 13402, 4528, 540, 519, 11178, 9449, 16815, 6918, 710, 563, 2252, 711, 5701, 5265, 267, 30847, 666, 7494, 22009, 519, 3461, 779, 2298, 540, 1272, 563, 1103, 1004, 609, 30847, 267, 10649, 666, 948, 12954, 519, 11563, 543, 6175, 2589, 563, 276, 10649, 607, 11446, 630, 5099, 264, 602, 949, 4324, 519, 2783, 616, 912, 268, 29154, 571, 623, 846, 454, 268, 769, 30062, 623, 846, 454, 268, 12551, 623, 846, 454, 268, 6682, 601, 623, 846, 454, 268, 29651, 572, 623, 846, 454, 2005, 568, 711, 2009, 547, 2061, 30847, 269, 15706, 693, 2362, 1981, 540, 11178, 1644, 2042, 267, 899, 2021, 1282, 6379, 267, 1058, 2638, 609, 741, 10629, 827, 519, 991, 585, 3606, 22752, 563, 25147, 21364, 5388, 630, 18034, 689, 519, 1920, 5696, 26226, 19687, 264, 971, 607, 22282, 267, 1490, 639, 17632, 28667, 267, 536, 758, 669, 1195, 267, 25989, 267, 28471, 31884, 543, 2490, 760, 269, 1358, 21391, 519, 19718, 543, 946, 540, 22752, 5265, 563, 306, 1872, 1513, 666, 2333, 5343, 725, 538, 519, 1560, 799, 666, 5555, 3500, 1524, 519, 7503, 540, 570, 275, 547, 2468, 1675, 18333, 1258, 710, 267, 610, 570, 274, 267, 1776, 11178, 9449, 269, 4475, 267, 621, 568, 1655, 547, 2057, 4006, 538, 707, 2732, 563, 29797, 1054, 21633, 1772, 22453, 569, 2776, 1998, 550, 538, 21250, 656, 6468, 454, 268, 14523, 1054, 21633, 568, 6353, 676, 519, 11178, 14189, 711, 6721, 2614, 11178, 10399, 563, 268, 27051, 476, 3199, 2600, 540, 713, 2783, 568, 3361, 676, 16991, 2068, 563, 268, 15310, 8982, 568, 513, 10835, 540, 30847, 563, 268, 901, 2783, 3112, 581, 23174, 563, 268, 898, 568, 711, 2009, 547, 2061, 30847, 563, 6701, 596, 3478, 2614, 22752, 888, 1607, 1543, 568, 4977, 543, 3020, 547, 519, 1655, 540, 519, 2278, 779, 1702, 543, 1281, 711, 12990, 585, 5868, 267, 23567, 267, 2126, 267, 13310, 267, 543, 5924, 8192, 5796, 689, 513, 13931, 1072, 3318, 269, 24391, 267, 9360, 267, 543, 2067, 14319, 949, 723, 5906, 2427, 2360, 269, 1403, 9176, 610, 8808, 267, 5077, 609, 513, 11727, 8502, 593, 606, 1367, 4493, 269, 16418, 7525, 948, 952, 596, 616, 7680, 513, 2564, 6595, 563, 15100, 476, 1708, 271, 16444, 330, 13183, 681, 0, 21581, 2626, 281, 4208, 1705, 621, 3315, 4323, 2802, 11340, 807, 538, 476, 4350, 276, 888, 12749, 1655, 4267, 547, 519, 2243, 16938, 1432, 2197, 1705, 621, 3315, 28117, 538, 12354, 3426, 476, 4350, 276, 14872, 454, 288, 8473, 10071, 1063, 18629, 543, 7969, 28950, 559, 663, 602, 5412, 5795, 5484, 17010, 631, 1380, 565, 7236, 606, 28195, 547, 26544, 269, 1234, 915, 532, 782, 32404, 3091, 267, 519, 32228, 2103, 22983, 18629, 593, 5239, 476, 274, 267, 476, 4350, 276, 563, 21581, 2626, 281, 634, 621, 6501, 12289, 540, 705, 903, 7562, 807, 630, 4350, 276, 268, 3607, 264 ]

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

[ 8656, 779, 5794, 13871, 18395, 19264, 817, 611, 832, 630, 8150, 288, 264, 4674, 568, 513, 3318, 1646, 1982, 14971, 547, 2087, 3450, 267, 8300, 1053, 267, 543, 1217, 519, 2146, 269, 898, 13976, 2390, 519, 9371, 540, 8331, 779, 3810, 3811, 29332, 4306, 2207, 630, 293, 2775, 19662, 585, 3163, 11819, 2037, 305, 545, 618, 264, 1982, 602, 24363, 7855, 20829, 519, 918, 14241, 704, 5794, 13871, 25076, 630, 25605, 302, 264, 689, 476, 1960, 271, 1107, 476, 1960, 276, 563, 763, 5794, 13871, 18395, 19264, 817, 611, 832, 968, 303, 559, 582, 892, 1982, 585, 19829, 3318, 1646, 6707, 24363, 3670, 3610, 593, 519, 2616, 2218, 1282, 519, 4832, 540, 476, 1001, 272, 267, 8204, 4993, 267, 16855, 267, 12309, 267, 13325, 267, 543, 9098, 630, 29910, 9823, 1040, 16214, 9672, 519, 1982, 779, 2318, 1764, 593, 519, 4116, 5171, 267, 593, 741, 1053, 267, 543, 538, 741, 2950, 269, 11334, 711, 1152, 11368, 1543, 1702, 543, 1808, 3334, 540, 741, 1995, 883, 741, 21195, 267, 789, 849, 723, 849, 2016, 19421, 540, 14245, 543, 8045, 4116, 3318, 1646, 11925, 269, 4256, 3646, 547, 4266, 723, 12936, 7366, 540, 1053, 543, 3610, 563, 12569, 293, 8656, 779, 589, 8150, 1982, 1631, 13788, 922, 18888, 476, 272, 5123, 281, 476, 1724, 589, 8150, 19829, 6887, 267, 7132, 3124, 919, 267, 941, 5697, 538, 513, 3810, 8013, 3498, 1184, 269, 29120, 7855, 2097, 689, 513, 3099, 540, 10080, 267, 543, 741, 5238, 1331, 513, 1153, 585, 519, 18555, 267, 606, 4244, 2069, 3135, 630, 31141, 958, 13934, 1070, 3810, 9207, 5703, 2875, 5095, 267, 6917, 3506, 267, 543, 513, 7111, 1977, 1153, 3135, 563, 2026, 851, 540, 7041, 543, 2866, 585, 741, 8184, 1995, 267, 589, 8150, 1982, 5171, 786, 2347, 513, 10927, 7400, 18395, 585, 11334, 593, 11060, 1576, 13950, 676, 23497, 3557, 2160, 543, 2817, 11819, 28389, 618, 8416, 269, 30581, 786, 581, 19610, 609, 606, 31485, 609, 2616, 2218, 942, 267, 543, 789, 786, 960, 609, 713, 31485, 2429, 519, 1382, 267, 689, 7041, 547, 1239, 2079, 269, 21191, 2026, 786, 5688, 958, 8038, 20829, 519, 2616, 2218, 7466, 267, 786, 2936, 4928, 4245, 1759, 593, 741, 2833, 267, 543, 786, 2347, 606, 23793, 1544, 563, 5353, 3005, 883, 713, 20380, 1982, 568, 5963, 606, 8956, 585, 519, 7855, 543, 741, 1153, 267, 4541, 10740, 610, 2616, 2218, 563, 18550, 476, 1704, 628, 267, 476, 1001, 274, 7585, 454, 288, 3163, 543, 15099, 4659, 585, 4400, 3427, 3163, 11334, 454, 19798, 4953, 476, 1001, 274, 10241, 1930, 4728, 476, 1428, 1107, 4989, 476, 1789, 267, 476, 1001, 274, 454, 25898, 596, 899, 547, 1451, 811, 827, 519, 15834, 2361, 540, 8330, 13681, 5735, 286, 3657, 596, 3168, 585, 513, 4207, 21044, 2257, 6437, 602, 568, 4441, 1759, 286, 3657, 596, 538, 3406, 540, 606, 3078, 3318, 1646, 4316, 286, 3657, 596, 4712, 547, 2671, 707, 15131, 585, 2257, 3450, 609, 1866, 286, 1403, 865, 267, 649, 16436, 596, 547, 1831, 606, 6789, 306, 4953, 4116, 563, 763, 6789, 306, 4953, 1995, 786, 581, 7920, 543, 3078, 267, 7317, 543, 1543, 3638, 267, 609, 14245, 676, 3056, 4230, 13681, 5735, 3173, 689, 519, 10323, 2316, 4659, 267, 8331, 267, 543, 519, 4993, 9142, 540, 7070, 269, 12207, 786, 2671, 519, 5767, 538, 4230, 13681, 5735, 1382, 593, 519, 5169, 540, 1272, 593, 3047, 267, 519, 3665, 2175, 538, 799, 1272, 6818, 267, 9370, 3408, 267, 519, 5250, 540, 19236, 1949, 1472, 6129, 6438, 6801, 267, 543, 519, 3406, 585, 1272, 538, 519, 7122, 269, 634, 13186, 2934, 513, 4999, 540, 5969, 6316, 2257, 267, 14374, 2861, 3450, 543, 1565, 267, 543, 5718, 1983, 1646, 547, 1489, 596, 607, 513, 4116, 543, 4116, 26519, 269, 19893, 4309, 519, 3003, 30576, 1137, 3414, 5384, 6437, 543, 14911, 4230, 13681, 5735, 2326, 267, 2919, 676, 8331, 779, 8330, 13681, 5735, 4659, 267, 585, 946, 538, 741, 13460, 563, 19798, 4953, 568, 14102, 676, 519, 10323, 2316, 4659, 267, 3447, 622, 3013, 267, 8331, 779, 31854, 2214, 8879, 25076, 585, 5606, 14518, 18395, 630, 12569, 293, 8656, 264, 4065, 543, 5398, 4934, 18943, 5358, 543, 8331, 779, 3223, 16980, 17030, 4065, 543, 5398, 4934, 18943, 5358, 563, 19798, 4953, 476, 1001, 274, 786, 581, 4371, 5147, 476, 3066, 1107, 4864, 476, 273, 267, 476, 1001, 274, 454, 21104, 725, 1813, 4989, 476, 1789, 267, 476, 1001, 274, 454, 7312, 7029, 547, 6789, 306, 4953, 912, 268, 27336, 633, 593, 5147, 476, 2764, 267, 476, 1001, 274, 543, 7390, 519, 6789, 306, 4953, 4659, 267, 5147, 476, 3066, 1107, 4864, 476, 274, 476, 1001, 274, 543, 7119, 538, 519, 6789, 306, 4953, 5907, 2146, 2429, 519, 4081, 1032, 563, 268, 25956, 693, 2547, 835, 9074, 540, 966, 22721, 538, 707, 4928, 563, 268, 12160, 622, 538, 513, 533, 2056, 22085, 293, 1382, 7634, 540, 3318, 1646, 454, 268, 18430, 1713, 23793, 2238, 5473, 966, 22721, 936, 519, 1985, 1079, 1296, 267, 585, 1383, 912, 414, 501, 355, 4643, 543, 1291, 513, 4116, 3318, 1646, 13186, 610, 1576, 585, 3610, 1759, 2390, 707, 6789, 306, 4953, 2866, 543, 519, 966, 22721, 2326, 563, 414, 501, 355, 22895, 528, 824, 4116, 4433, 264, 1210, 519, 966, 22721, 6437, 563, 414, 501, 355, 21277, 576, 606, 23793, 2534, 3617, 547, 707, 1153, 610, 8664, 563, 19798, 4953, 779, 7029, 547, 596, 912, 268, 14520, 2395, 540, 2257, 1543, 267, 543, 3946, 6823, 2833, 609, 966, 22721, 267, 693, 519, 10323, 2316, 4659, 543, 5842, 12770, 3557, 2160, 538, 519, 5842, 12770, 7345, 9351, 563, 268, 966, 22721, 6437, 10189, 281, 3670, 13838, 563, 268, 13488, 6351, 1369, 519, 772, 2529, 1421, 4055, 543, 4604, 563, 268, 8033, 5224, 1489, 3842, 593, 11060, 2146, 267, 2326, 585, 23793, 2238, 267, 543, 7658, 20813, 3720, 563, 268, 19983, 609, 824, 1283, 27677, 577, 2257, 3610, 5461, 538, 4230, 13681, 5735, 543, 4720, 563, 268, 12197, 7552, 563, 268, 769, 11431, 8056, 619, 542, 15232, 454, 21104, 725, 689, 6887, 540, 1079, 1164, 1153, 3610, 267, 689, 513, 1153, 610, 8664, 267, 616, 9415, 269, 5637, 2319, 2818, 1590, 1142, 2347, 513, 5094, 3498, 269, 7327, 13987, 3156, 616, 7608, 269, 9603, 547, 5313, 7616, 540, 519, 1982, 267, 1152, 3156, 689, 3610, 538, 772, 2529, 269, 3506, 616, 7608, 563, 274, 10927, 17099, 538, 2069, 786, 581, 2139, 998, 5842, 12770, 3557, 2160, 585, 606, 3606, 1269, 4968, 13927, 630, 11357, 915, 547, 16369, 1040, 16592, 6498, 15938, 5491, 949, 581, 1500, 2139, 693, 513, 14758, 13927, 563, 2690, 811, 1344, 267, 3346, 31656, 11253, 15053, 534, 693, 4757, 11333, 2593, 610, 630, 20981, 264, 476, 31634, 268, 3393, 273, 274, 563, 18550, 476, 1704, 628, 267, 476, 1001, 274, 7585, 454, 301, 677, 14665, 3557, 2160, 814, 1044, 13752, 513, 1533, 4204, 9886, 689, 519, 20274, 3557, 3204, 757, 585, 14451, 4065, 547, 2333, 519, 1297, 540, 14468, 11061, 543, 8212, 3610, 538, 519, 1533, 540, 20274, 563, 763, 22085, 308, 11061, 543, 8212, 9142, 630, 10064, 308, 4211, 4338, 288, 264, 786, 1683, 1382, 2861, 3318, 1646, 585, 14468, 2257, 3610, 945, 1616, 547, 1831, 14468, 547, 4001, 11061, 543, 8212, 269, 634, 1079, 4458, 1982, 786, 1445, 593, 4116, 1702, 267, 4116, 2259, 267, 543, 2875, 9740, 538, 11061, 543, 8212, 269, 634, 1982, 568, 16461, 1746, 476, 736, 2257, 3610, 1533, 4204, 543, 786, 1331, 513, 835, 22173, 4832, 1982, 593, 519, 570, 1695, 548, 638, 1695, 13464, 540, 22085, 308, 4873, 476, 1704, 268, 2641, 267, 476, 1001, 274, 269, 24184, 786, 581, 3177, 607, 2877, 269, 634, 1982, 786, 946, 519, 4563, 4580, 1062, 547, 948, 1020, 513, 1533, 4204, 7991, 540, 6657, 563, 27396, 1218, 786, 2932, 23793, 2238, 693, 519, 20274, 3163, 11819, 5948, 5993, 5870, 543, 693, 519, 17368, 14665, 20274, 9119, 543, 3163, 11819, 5948, 5993, 5870, 693, 22085, 308, 269, 1452, 11401, 786, 1683, 3255, 585, 824, 2257, 3610, 547, 2170, 609, 1982, 5171, 543, 786, 1683, 5171, 13033, 3255, 609, 4810, 11061, 543, 8212, 3610, 563, 763, 2640, 547, 4116, 5171, 1331, 513, 10469, 1512, 6997, 5226, 652, 476, 273, 543, 519, 1739, 28525, 281, 2837, 16785, 267, 5163, 18785, 267, 9063, 16785, 630, 21206, 28525, 543, 6997, 1160, 12229, 786, 581, 13859, 519, 2034, 1032, 13776, 513, 16434, 23616, 754, 267, 25778, 3101, 585, 5216, 5171, 267, 2324, 561, 31708, 267, 13977, 19317, 3108, 540, 3318, 1646, 1282, 519, 4832, 267, 2228, 1246, 5346, 2238, 543, 1489, 1282, 519, 4081, 1032, 267, 543, 7482, 547, 1491, 519, 13013, 2969, 538, 11061, 543, 538, 8212, 693, 519, 3932, 540, 519, 1982, 563, 2252, 596, 616, 5461, 538, 713, 1982, 610, 952, 596, 917, 513, 4116, 945, 1522, 581, 5461, 267, 5225, 3346, 519, 5358, 10615, 267, 3220, 269, 4989, 17566, 269, 1284, 723, 513, 1906, 5624, 1869, 2139, 585, 519, 476, 1001, 274, 14400, 4659, 563, 1607, 1982, 568, 14102, 998, 606, 25947, 11819, 10866, 16827, 689, 519, 20274, 3557, 3204, 757, 585, 14451, 4065, 269, 0, 268, 13555, 2974, 454, 7495, 310, 4826, 8750, 454, 763, 744, 291, 310, 4826, 8750, 568, 606, 3390, 10391, 2508, 602, 9607, 519, 3668, 540, 1569, 547, 2973, 6704, 1216, 543, 2596, 19455, 269, 2755, 1390, 3356, 814, 1044, 1500, 267, 972, 616, 1869, 1472, 476, 278, 3199, 2929, 1004, 1472, 519, 1158, 602, 3668, 1569, 547, 2973, 6704, 1216, 543, 5176, 476, 274, 269, 275, 2929, 1004, 5884, 1169, 1032, 689, 1216, 1644, 3676, 269, 1635, 1810, 908, 547, 713, 2508, 267, 596, 786, 948, 1004, 538, 25680, 991, 2744, 519, 1898, 1480, 1318, 540, 2348, 1569, 547, 6704, 1216, 543, 2596, 19455, 267, 799, 786, 948, 2569, 10867, 9019, 267, 28824, 3676, 267, 543, 2489, 2298, 540, 1272, 563, 12850, 568, 606, 1898, 3693, 585, 1169, 1480, 1373, 267, 585, 2123, 4616, 543, 5986, 267, 3395, 7031, 543, 4509, 13184, 267, 2123, 9882, 267, 543, 11067, 1919, 267, 971, 607, 7802, 543, 8286, 269, 7457, 547, 1216, 5654, 1114, 538, 1169, 2197, 269, 898, 1223, 1611, 12992, 883, 5321, 267, 610, 513, 1134, 267, 476, 1789, 3764, 2476, 269, 1809, 1100, 2339, 519, 4441, 1305, 676, 513, 2197, 267, 1569, 547, 2973, 6704, 1216, 543, 1697, 19455, 616, 2629, 1480, 2924, 267, 1317, 1510, 891, 267, 1004, 616, 7142, 547, 7048, 593, 22247, 2959, 585, 1216, 267, 799, 3810, 4679, 519, 1981, 585, 28824, 267, 3868, 762, 3676, 269, 1306, 513, 1267, 540, 16283, 2200, 267, 3885, 616, 12758, 538, 513, 4783, 540, 2192, 1072, 543, 6710, 267, 799, 1860, 1453, 1034, 16094, 269, 634, 6167, 814, 16363, 713, 6433, 519, 968, 338, 559, 550, 6595, 892, 1317, 22247, 1216, 3761, 267, 3668, 540, 1697, 19455, 267, 543, 16789, 9882, 616, 519, 2014, 540, 936, 476, 274, 269, 276, 2929, 7972, 513, 1032, 267, 543, 476, 10019, 260, 540, 1346, 7972, 616, 1453, 563, 268, 19768, 540, 19455, 568, 519, 1158, 779, 7887, 2014, 540, 3968, 269, 630, 4248, 3820, 994, 268, 476, 274, 269, 276, 2929, 1004, 5884, 1169, 1032, 1813, 547, 22247, 1216, 543, 3668, 540, 1697, 19455, 269, 630, 4248, 3820, 994, 268, 18648, 1216, 2298, 666, 2333, 519, 1981, 540, 971, 11591, 515, 531, 3676, 607, 26601, 5028, 267, 27193, 1355, 8611, 543, 7988, 550, 2044, 267, 543, 824, 1216, 25645, 5563, 269, 630, 21766, 994, 2171, 2052, 5269, 513, 16338, 563, 288, 3070, 547, 713, 3390, 666, 581, 2241, 267, 855, 621, 3340, 513, 10319, 4674, 1063, 3025, 3238, 547, 4137, 856, 1018, 786, 960, 1655, 267, 543, 875, 891, 3292, 786, 581, 13455, 538, 519, 1279, 2196, 269, 744, 291, 310, 814, 24574, 1229, 609, 6909, 3906, 971, 607, 17493, 281, 1216, 267, 513, 1126, 779, 1318, 267, 4270, 667, 821, 8644, 4997, 267, 24306, 540, 4886, 267, 3092, 269, 799, 1683, 1569, 547, 2973, 6704, 1216, 543, 19455, 6703, 676, 2679, 19401, 267, 14335, 4234, 21218, 267, 543, 2870, 22729, 1949, 563, 1432, 2052, 1411, 1684, 888, 13706, 24574, 1359, 609, 721, 607, 649, 3343, 547, 7649, 609, 1507, 543, 5420, 21092, 27013, 543, 25553, 11675, 602, 616, 2324, 24091, 547, 2285, 3025, 519, 8471, 1480, 1318, 540, 1569, 547, 2973, 6704, 1216, 543, 7850, 19455, 6703, 269, 476, 1911, 260, 540, 707, 21856, 630, 2381, 639, 5491, 3556, 12375, 264, 786, 979, 547, 5402, 17022, 1540, 12352, 543, 14828, 563, 7495, 310, 4826, 8750, 18776, 454, 26244 ]

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

[ 332, 718, 4055, 267, 1141, 621, 729, 1713, 585, 782, 7158, 4849, 2990, 8633, 267, 982, 585, 519, 16959, 6441, 1618, 4055, 267, 538, 799, 621, 6603, 4644, 1152, 585, 7158, 2473, 296, 543, 2473, 2862, 630, 8368, 590, 276, 1040, 7053, 267, 519, 3845, 16863, 9867, 811, 2066, 7158, 538, 519, 16959, 6441, 1618, 543, 681, 1197, 828, 656, 4149, 332, 718, 11623, 982, 538, 519, 13129, 4055, 630, 3467, 1713, 1063, 6261, 3789, 3604, 538, 7305, 590, 275, 1070, 543, 941, 2949, 9803, 585, 4992, 9447, 689, 519, 17886, 522, 685, 22018, 2990, 630, 8993, 269, 476, 274, 320, 1916, 19284, 519, 3845, 16863, 267, 519, 20842, 574, 3578, 531, 4287, 630, 8993, 269, 476, 273, 321, 267, 2407, 13063, 264, 543, 11741, 1145, 630, 8993, 269, 476, 273, 322, 264, 9794, 906, 1705, 711, 1397, 513, 21341, 593, 519, 6947, 1604, 269, 5502, 267, 789, 9867, 609, 519, 2990, 540, 519, 3077, 15128, 630, 8993, 338, 476, 275, 543, 476, 276, 1070, 609, 519, 2949, 6871, 540, 2953, 9794, 906, 8151, 689, 476, 2412, 547, 476, 2568, 10065, 12430, 6404, 13716, 338, 21524, 601, 4888, 10976, 2026, 609, 18740, 267, 595, 826, 267, 543, 19024, 607, 6378, 2188, 543, 5903, 10273, 607, 513, 4351, 3815, 630, 307, 1963, 590, 277, 543, 590, 280, 264, 9672, 602, 267, 585, 891, 1079, 10305, 267, 972, 729, 513, 1713, 1198, 540, 19024, 1496, 291, 3925, 281, 674, 263, 277, 267, 10384, 264, 815, 476, 2412, 269, 277, 267, 533, 2999, 476, 271, 269, 9826, 282, 3281, 716, 1145, 281, 674, 263, 277, 267, 13970, 277, 264, 815, 476, 2767, 269, 279, 267, 533, 2999, 476, 271, 269, 9826, 316, 855, 1100, 1198, 540, 18740, 1496, 291, 3925, 281, 674, 263, 273, 267, 10384, 264, 815, 476, 271, 269, 275, 267, 533, 815, 476, 271, 269, 277, 4375, 282, 3281, 716, 1145, 281, 674, 263, 273, 267, 13970, 277, 264, 815, 476, 272, 269, 271, 267, 533, 815, 476, 271, 269, 3374, 278, 4940, 700, 8632, 7158, 630, 7656, 543, 26577, 264, 941, 9846, 15951, 811, 8308, 982, 4395, 630, 311, 2862, 264, 543, 1394, 630, 9654, 264, 7158, 585, 1312, 4287, 543, 11741, 1145, 630, 8993, 338, 476, 275, 320, 543, 476, 276, 320, 1040, 5403, 554, 665, 2789, 16198, 1210, 16515, 4486, 779, 9237, 1713, 3017, 1449, 4951, 602, 267, 950, 782, 4055, 10291, 941, 2139, 267, 476, 278, 856, 540, 476, 279, 4395, 270, 3724, 5288, 14694, 16198, 941, 1713, 267, 1247, 16863, 585, 7158, 8633, 5288, 26577, 543, 17886, 5288, 2473, 2862, 2760, 28209, 3648, 630, 307, 1963, 590, 278, 543, 590, 1015, 1916, 2690, 4287, 531, 16863, 630, 8993, 269, 476, 275, 320, 1070, 519, 1655, 2773, 729, 4767, 585, 4633, 6786, 9447, 689, 519, 8633, 543, 26577, 522, 685, 22018, 7158, 538, 782, 11623, 267, 6466, 519, 10782, 2773, 729, 4767, 585, 7158, 17886, 267, 23446, 267, 543, 2473, 2862, 522, 685, 22018, 269, 634, 4463, 540, 519, 8900, 13063, 538, 8431, 269, 476, 273, 321, 6920, 1018, 519, 6871, 540, 2953, 4287, 531, 9794, 906, 1131, 581, 952, 4395, 25746, 1476, 16272, 941, 2808, 607, 2953, 6114, 267, 1775, 4318, 1421, 519, 3017, 1063, 8900, 543, 2407, 13063, 9356, 519, 2557, 540, 4395, 25746, 1476, 16272, 585, 1142, 2783, 269, 589, 5276, 6404, 13716, 338, 2203, 30654, 5340, 593, 519, 2557, 540, 4395, 25746, 1476, 16272, 7000, 1100, 1713, 1198, 540, 18740, 1496, 293, 263, 273, 267, 10384, 264, 815, 476, 271, 269, 277, 267, 533, 815, 476, 271, 269, 276, 3607, 316, 855, 513, 1713, 1198, 540, 19024, 1496, 293, 263, 277, 267, 10384, 264, 815, 476, 1428, 269, 273, 267, 533, 2999, 476, 271, 269, 9826, 316, 630, 8368, 590, 1321, 1070, 543, 7766, 2022, 3620, 665, 2079, 4951, 1713, 3604, 1152, 585, 6292, 3772, 16198, 5473, 2901, 7158, 17886, 610, 2473, 2862, 522, 685, 22018, 630, 8368, 590, 1724, 1040, 901, 25495, 602, 19700, 22157, 547, 2199, 1125, 15672, 4992, 811, 3362, 267, 6466, 4395, 543, 1394, 7158, 941, 1419, 11821, 269, 769, 1840, 267, 519, 6476, 540, 13065, 540, 519, 4287, 9794, 906, 4951, 513, 1713, 3017, 2066, 7158, 630, 395, 485, 273, 263, 277, 264, 815, 476, 4097, 269, 2537, 267, 533, 2999, 476, 271, 269, 9826, 1070, 609, 519, 9803, 13065, 4767, 585, 14694, 7158, 8633, 543, 26577, 522, 685, 22018, 630, 8368, 590, 1428, 1040, 1717, 267, 1100, 2312, 1198, 729, 1336, 540, 2436, 610, 711, 519, 15128, 941, 897, 11343, 609, 7298, 561, 10796, 701, 5474, 630, 8368, 590, 1626, 1916, 1103, 2474, 540, 11741, 1145, 16863, 630, 8993, 476, 276, 320, 1070, 519, 15128, 15951, 538, 782, 1614, 5054, 4951, 513, 3648, 3677, 4080, 2707, 3376, 1145, 585, 4395, 543, 1394, 982, 585, 14694, 7158, 269, 634, 2022, 3620, 665, 2079, 9672, 602, 267, 950, 1312, 3308, 543, 17391, 4055, 10291, 941, 2139, 267, 782, 4395, 270, 3724, 5288, 14694, 16198, 941, 3648, 1114, 267, 1247, 8633, 5288, 26577, 543, 17886, 5288, 2473, 2862, 1705, 711, 8428, 3648, 630, 8368, 590, 278, 1040, 4935, 267, 5691, 15128, 9447, 689, 519, 4395, 543, 1394, 7158, 616, 711, 1152, 16609, 585, 3280, 31338, 267, 855, 849, 1459, 513, 4161, 585, 8901, 17478, 563, 22546, 540, 17391, 5288, 3308, 4656, 540, 519, 4055, 454, 763, 3310, 540, 519, 1826, 540, 2139, 4055, 5829, 10291, 593, 3280, 5007, 1436, 729, 6594, 676, 9236, 519, 2164, 585, 519, 2783, 1141, 19700, 4607, 1312, 3308, 543, 17391, 4055, 10291, 630, 8993, 269, 476, 273, 267, 2451, 8440, 264, 547, 519, 2175, 1141, 789, 4607, 2901, 3308, 630, 8993, 269, 476, 273, 267, 1647, 8440, 264, 610, 17391, 4055, 10291, 630, 8993, 269, 476, 273, 267, 1318, 8440, 264, 1152, 563, 2690, 20842, 574, 3578, 531, 4287, 543, 11741, 1145, 630, 8993, 269, 476, 273, 321, 543, 524, 1070, 1100, 1713, 1292, 1198, 729, 1336, 1063, 519, 7318, 2175, 538, 519, 30654, 1496, 291, 3925, 281, 674, 263, 273, 267, 10384, 264, 815, 476, 271, 269, 275, 267, 533, 815, 476, 271, 269, 6858, 274, 282, 3281, 716, 1145, 281, 674, 263, 273, 267, 13970, 277, 264, 815, 476, 271, 269, 278, 267, 533, 815, 476, 271, 269, 275, 4281, 316, 630, 307, 1963, 590, 277, 543, 590, 280, 1040, 1703, 941, 1713, 4205, 1063, 595, 826, 543, 19024, 585, 519, 1079, 10305, 1496, 291, 3925, 281, 674, 263, 1321, 267, 10384, 264, 815, 476, 273, 269, 271, 267, 533, 815, 476, 271, 269, 25171, 282, 3281, 716, 1145, 281, 674, 263, 1321, 267, 13970, 277, 264, 815, 476, 273, 269, 277, 267, 533, 815, 476, 271, 269, 16573, 4940, 1717, 267, 519, 2022, 3620, 665, 2079, 4951, 602, 9039, 540, 519, 6292, 3772, 16198, 7283, 1713, 1310, 15494, 585, 2789, 16198, 585, 4287, 630, 8368, 590, 1556, 1070, 1247, 1152, 519, 6476, 585, 782, 4055, 10291, 5288, 3308, 4055, 10291, 1152, 538, 2990, 2473, 2862, 7283, 1713, 585, 11741, 1145, 630, 8368, 590, 279, 1916, 1103, 4334, 547, 519, 824, 1079, 10305, 267, 519, 4806, 540, 3845, 9794, 906, 538, 519, 1614, 11623, 9867, 3648, 1063, 519, 1614, 29692, 2175, 630, 8993, 269, 476, 273, 320, 1040, 634, 30654, 630, 8368, 590, 272, 264, 4951, 513, 1713, 1198, 540, 595, 826, 1496, 293, 263, 273, 267, 13970, 277, 264, 815, 476, 278, 269, 277, 267, 533, 815, 476, 271, 269, 9826, 3910, 543, 513, 1713, 5872, 1063, 18740, 543, 595, 826, 1496, 293, 263, 275, 267, 13970, 277, 264, 815, 476, 1626, 269, 277, 267, 533, 2999, 476, 271, 269, 9826, 4940, 769, 519, 13129, 4055, 630, 8993, 269, 476, 273, 320, 267, 2699, 13063, 1070, 519, 16863, 5833, 585, 2175, 609, 2901, 3308, 610, 17391, 10291, 630, 332, 1497, 543, 1318, 8440, 264, 8507, 538, 5594, 2539, 3845, 16863, 982, 538, 519, 2783, 609, 1312, 10291, 2139, 630, 3847, 8470, 1070, 855, 891, 3604, 941, 711, 1713, 630, 8368, 590, 273, 1040, 634, 3845, 8464, 5833, 538, 519, 16959, 6441, 1618, 4055, 630, 8993, 269, 476, 273, 320, 267, 3039, 13063, 264, 941, 9247, 19448, 26327, 676, 519, 1826, 540, 29692, 267, 10630, 676, 28971, 3604, 538, 9794, 906, 2066, 2175, 630, 8368, 590, 273, 1040, 769, 4334, 267, 538, 519, 681, 1197, 828, 656, 4149, 332, 718, 4055, 630, 8993, 269, 476, 273, 320, 267, 4544, 13063, 1070, 19700, 941, 3648, 811, 4977, 630, 2421, 476, 3374, 8472, 538, 519, 3308, 4055, 29692, 1152, 2783, 630, 332, 1497, 8470, 264, 3379, 547, 519, 824, 1079, 2175, 630, 3847, 543, 1318, 8440, 1070, 799, 941, 2147, 269, 634, 2022, 3620, 665, 2079, 9672, 602, 519, 4527, 540, 1651, 784, 745, 550, 17391, 4055, 10291, 3366, 547, 3648, 2539, 3845, 16863, 538, 519, 681, 1197, 828, 656, 4149, 332, 718, 4055, 630, 8993, 269, 476, 273, 320, 267, 4544, 13063, 264, 1152, 630, 335, 2999, 476, 271, 269, 9826, 267, 7305, 590, 273, 1040, 5047, 267, 519, 3604, 538, 3845, 16863, 1063, 519, 681, 1197, 828, 656, 4149, 332, 718, 543, 519, 824, 1079, 11623, 941, 1152, 1713, 950, 17391, 4055, 10291, 941, 2139, 630, 335, 2999, 476, 271, 269, 9826, 267, 7305, 590, 274, 1040, 4475, 267, 519, 19700, 685, 3845, 9794, 906, 941, 4389, 8164, 789, 4607, 17391, 4055, 10291, 689, 519, 1404, 3724, 4055, 602, 1705, 711, 6474, 1346, 689, 519, 10916, 4055, 267, 1247, 741, 9794, 906, 7283, 19448, 26327, 950, 789, 1223, 1294, 513, 4055, 602, 28209, 689, 519, 835, 789, 4862, 998, 519, 2212, 7483, 12093, 269, 901, 2623, 729, 5812, 2066, 782, 2707, 7158, 630, 8993, 269, 476, 274, 321, 1700, 323, 1070, 543, 1100, 5872, 729, 1336, 1063, 595, 826, 543, 19024, 538, 519, 30654, 1496, 293, 263, 1321, 267, 13970, 277, 264, 815, 476, 271, 269, 277, 267, 533, 815, 476, 271, 269, 279, 1240, 14073, 23087, 543, 17564, 454, 763, 1657, 2164, 5815, 602, 513, 25314, 2255, 1063, 519, 4055, 538, 799, 519, 536, 2088, 1116, 2212, 7483, 12093, 729, 5129, 1394, 543, 519, 4055, 538, 799, 519, 645, 6020, 20745, 941, 6592, 568, 17672, 547, 519, 5007, 1436, 540, 519, 4611, 17391, 2592, 538, 2474, 540, 741, 9228, 3845, 269, 1717, 267, 972, 729, 1100, 2963, 602, 971, 513, 4055, 25314, 2255, 5540, 519, 9228, 20842, 574, 3578, 531, 4287, 610, 11741, 1145, 540, 519, 17391, 2592, 563, 763, 4681, 849, 2303, 602, 519, 17391, 1110, 1275, 814, 513, 2362, 1764, 593, 5007, 1436, 538, 2474, 540, 9228, 3845, 982, 519, 3308, 1110, 1275, 267, 950, 10291, 689, 519, 10916, 543, 1404, 3724, 4055, 616, 1651, 784, 745, 550, 269, 898, 1058, 581, 7074, 602, 519, 829, 24632, 9794, 906, 941, 5833, 1282, 606, 17391, 26209, 4305, 267, 799, 1522, 2491, 1946, 519, 4767, 2360, 1152, 7018, 950, 519, 1344, 729, 1651, 784, 745, 550, 1369, 519, 1482, 630, 7596, 7480, 264, 1110, 1275, 543, 711, 2066, 23857, 269, 19634, 940, 519, 1909, 540, 519, 3308, 1110, 1275, 267, 513, 2312, 11984, 1058, 581, 1500, 1063, 4055, 5829, 3308, 10291, 267, 799, 1705, 711, 1860, 5007, 1436, 1934, 267, 543, 2707, 5829, 3308, 10291, 267, 799, 723, 1044, 4080, 547, 3310, 519, 17391, 8901, 12705, 538, 6901, 1141, 24384, 990, 529, 783, 15128, 6655, 8901, 27753, 1556, 267, 1321, 269, 769, 519, 1459, 1353, 267, 513, 8579, 6476, 540, 519, 13065, 540, 519, 4287, 9193, 4951, 602, 621, 9867, 3648, 2066, 7158, 630, 8368, 590, 1428, 1040, 4014, 713, 9356, 519, 1249, 602, 811, 1476, 16272, 7018, 585, 930, 7158, 982, 1866, 630, 8993, 269, 476, 275, 1070, 519, 1713, 6292, 3772, 16198, 1705, 711, 18928, 2049, 1063, 7158, 609, 543, 1510, 7298, 561, 10796, 701, 5474, 630, 8368, 590, 1626, 1916, 14454, 267, 938, 2164, 6542, 602, 519, 5207, 4110, 540, 5007, 1436, 568, 5833, 538, 519, 4527, 540, 1312, 17391, 543, 3308, 21412, 1344, 269, 769, 1651, 784, 745, 550, 6947, 3871, 267, 519, 17391, 1344, 827, 519, 4055, 3587, 811, 2565, 585, 519, 8226, 540, 3845, 950, 519, 6947, 1604, 568, 811, 26871, 828, 656, 3379, 547, 519, 10916, 4055, 267, 855, 711, 950, 519, 6947, 4055, 568, 606, 3663, 18757, 269, 6270, 513, 1267, 1522, 581, 6045, 676, 519, 1249, 602, 519, 3017, 538, 26871, 828, 566, 942, 1063, 519, 13129, 543, 519, 681, 1197, 828, 656, 4149, 332, 718, 4055, 630, 273, 269, 275, 521, 264, 729, 1454, 3677, 982, 602, 1063, 519 ]

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

[ 9479, 454, 1892, 13044, 268, 866, 1249, 19295, 9535, 543, 25749, 9477, 4609, 454, 1892, 22518, 5126, 267, 21440, 267, 1876, 267, 543, 519, 10470, 454, 1892, 4354, 6275, 4780, 1562, 454, 1892, 24547, 558, 2329, 543, 4914, 12602, 454, 1892, 13188, 281, 5763, 267, 6710, 267, 543, 519, 2462, 1269, 4605, 454, 1892, 3798, 1746, 9504, 454, 1892, 30760, 12611, 543, 771, 15574, 454, 1892, 5082, 687, 281, 1548, 547, 917, 543, 1141, 547, 1265, 621, 454, 1892, 5517, 4466, 267, 1249, 10992, 267, 543, 3377, 2200, 454, 1892, 29972, 1299, 2030, 1158, 454, 1892, 17323, 267, 7851, 267, 1747, 4408, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 9558, 2536, 257, 607, 851, 540, 834, 303, 27773, 13316, 1315, 31666, 7701, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 7170, 281, 1912, 720, 10657, 281, 4635, 5164, 4926, 547, 674, 697, 29318, 692, 5970, 596, 2479, 4862, 540, 2576, 3478, 7210, 689, 4551, 286, 9320, 621, 729, 1792, 335, 11563, 610, 513, 7181, 17079, 269, 3776, 4703, 616, 4904, 609, 782, 12204, 540, 6263, 7103, 1572, 17973, 910, 4551, 267, 8290, 267, 13271, 267, 543, 811, 256, 2368, 540, 891, 17973, 666, 2014, 10108, 267, 1247, 1866, 948, 1832, 721, 2635, 269, 1809, 1705, 596, 917, 649, 666, 946, 824, 2010, 540, 17973, 267, 899, 1978, 5686, 540, 8290, 267, 547, 4339, 1055, 5739, 4551, 286, 901, 1523, 568, 1634, 607, 943, 720, 3797, 780, 2414, 1174, 875, 713, 1568, 267, 1577, 781, 1491, 513, 1900, 1394, 543, 1451, 827, 1018, 8290, 616, 269, 589, 3644, 568, 513, 1507, 11763, 8665, 602, 18187, 919, 3330, 2713, 2281, 269, 6056, 540, 873, 607, 6263, 5536, 602, 666, 4283, 938, 1560, 781, 2281, 543, 554, 6359, 871, 741, 12227, 547, 1711, 811, 12215, 540, 2933, 269, 2755, 789, 1522, 3280, 17559, 267, 1082, 8290, 5749, 1405, 5739, 282, 930, 949, 1256, 2149, 721, 676, 11318, 1055, 5739, 4551, 256, 1452, 5363, 8290, 616, 1572, 3566, 328, 2684, 1137, 267, 610, 3274, 943, 1137, 780, 3086, 267, 4952, 952, 649, 1223, 10244, 519, 1379, 540, 891, 1434, 8290, 547, 6861, 3983, 4551, 4929, 3676, 269, 4270, 267, 3744, 723, 1044, 3257, 1175, 602, 998, 943, 720, 3797, 256, 1635, 4974, 1114, 2010, 540, 943, 1137, 543, 1620, 799, 3283, 3077, 1808, 4551, 267, 3173, 666, 1020, 5574, 547, 8396, 9190, 5563, 269, 898, 781, 1271, 547, 4063, 602, 943, 1137, 3112, 2800, 1480, 2281, 1107, 789, 4481, 4323, 4551, 1152, 780, 4131, 781, 1413, 693, 606, 1383, 269, 17166, 596, 2759, 3054, 543, 1205, 513, 562, 7360, 3968, 3361, 676, 853, 20942, 19905, 28857, 630, 10193, 1634, 607, 588, 7469, 1040, 5502, 540, 1210, 11216, 267, 7189, 1223, 3442, 513, 5402, 5697, 943, 720, 602, 9072, 1152, 588, 7469, 4551, 269, 4495, 4294, 547, 519, 10138, 267, 519, 943, 720, 1131, 1376, 22215, 543, 21006, 519, 5739, 4551, 267, 6028, 6225, 4551, 4805, 269, 3683, 942, 267, 519, 3968, 1579, 1513, 909, 267, 3850, 707, 1560, 547, 12115, 6923, 780, 4407, 1869, 2808, 8097, 538, 1082, 2694, 540, 519, 1158, 267, 1519, 519, 2136, 2276, 267, 943, 720, 3797, 814, 3254, 9621, 2164, 538, 8156, 3075, 15033, 9190, 5563, 269, 1306, 15084, 4187, 3587, 5051, 16609, 267, 3695, 4244, 2126, 3681, 899, 943, 720, 3797, 786, 1831, 2629, 538, 5329, 721, 2922, 689, 5906, 4551, 780, 763, 1353, 540, 8290, 543, 741, 1761, 3096, 267, 971, 607, 943, 720, 3797, 267, 8813, 896, 519, 2361, 540, 19274, 14347, 269, 12207, 3136, 15388, 2081, 547, 8415, 891, 3532, 5536, 547, 2087, 3782, 543, 8396, 14686, 5563, 269, 5808, 6487, 1765, 821, 1554, 267, 6148, 649, 3513, 1294, 943, 720, 3797, 4742, 513, 3044, 2126, 4781, 538, 10506, 1472, 519, 8608, 2439, 12244, 22830, 281, 5620, 1053, 1374, 741, 1378, 834, 874, 720, 21962, 2437, 2870, 2241, 3631, 856, 540, 10036, 610, 1957, 602, 2099, 943, 1137, 10122, 1524, 543, 14874, 5739, 4551, 269, 11559, 5876, 543, 4901, 4478, 519, 2640, 543, 3156, 540, 943, 720, 3797, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 7804, 269, 27722, 918, 749, 4752, 17327, 3778, 476, 1960, 276, 454, 12606, 519, 7300, 281, 918, 749, 4752, 318, 294, 776, 318, 302, 1537, 318, 14532, 318, 1960, 276, 630, 14457, 476, 13923, 737, 289, 994, 1607, 568, 606, 5967, 540, 3220, 269, 27722, 918, 749, 4752, 267, 945, 5129, 1883, 5107, 538, 1585, 2127, 540, 519, 9435, 22870, 14347, 5358, 267, 14356, 2324, 609, 7585, 670, 826, 321, 1676, 267, 3144, 593, 4989, 476, 866, 267, 476, 1960, 276, 269, 634, 5967, 518, 568, 3220, 269, 14161, 717, 269, 22823, 267, 5449, 10615, 540, 519, 2817, 9435, 4659, 563, 289, 6033, 281, 3220, 269, 918, 749, 4752, 267, 594, 5660, 707, 18515, 547, 2911, 609, 721, 269, 16393, 596, 2285, 721, 267, 1101, 267, 513, 2370, 3787, 540, 4282, 267, 1141, 596, 4682, 547, 1153, 543, 945, 596, 5249, 609, 543, 865, 593, 888, 298, 749, 4752, 281, 11289, 596, 269, 8786, 269, 594, 21783, 693, 519, 2160, 540, 12548, 267, 519, 6481, 3427, 972, 267, 538, 1412, 6858, 267, 543, 729, 26752, 267, 693, 519, 2160, 540, 12548, 267, 602, 5213, 3751, 267, 519, 10361, 540, 11202, 1108, 267, 1185, 3710, 513, 1360, 2178, 17326, 529, 4184, 1441, 11202, 1108, 4972, 267, 543, 596, 1336, 1004, 538, 519, 11202, 4972, 602, 596, 4769, 1405, 1419, 1265, 538, 11202, 3493, 25902, 693, 602, 942, 267, 538, 519, 1412, 2568, 338, 269, 2334, 568, 267, 646, 1185, 10510, 19274, 6331, 1235, 267, 5027, 1979, 32554, 1235, 734, 32178, 15284, 734, 663, 538, 519, 10510, 19274, 1503, 334, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 4942, 720, 10657, 257, 607, 851, 540, 834, 306, 11799, 1315, 5020, 7070, 1315, 22870, 14347, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 1724, 281, 10289, 9608, 1242, 717, 22284, 281, 634, 8342, 2622, 540, 590, 1723, 582, 619, 692, 5970, 596, 2479, 2938, 2576, 14964, 513, 1085, 2393, 518, 543, 2219, 621, 6743, 899, 513, 2603, 540, 1187, 286, 4270, 267, 972, 781, 811, 982, 1175, 835, 2601, 1946, 1004, 2972, 1210, 873, 256, 769, 713, 3184, 267, 649, 786, 2263, 519, 1158, 540, 10531, 1085, 2393, 518, 13344, 543, 1451, 827, 875, 789, 666, 3142, 7772, 547, 4896, 945, 11392, 835, 780, 20058, 267, 1018, 4010, 568, 513, 1085, 2393, 518, 286, 589, 1085, 2393, 518, 568, 513, 1826, 540, 6283, 3926, 602, 814, 1079, 14743, 267, 513, 3760, 585, 707, 3952, 267, 543, 6023, 321, 1513, 585, 23376, 269, 898, 781, 2147, 547, 513, 25920, 4580, 855, 609, 3773, 6617, 543, 8897, 540, 946, 269, 2368, 1085, 2393, 619, 1256, 2097, 609, 16546, 267, 1818, 873, 5488, 543, 811, 10375, 585, 3478, 1472, 780, 3086, 267, 4952, 8391, 513, 10516, 602, 4564, 1945, 596, 2648, 267, 971, 607, 513, 1085, 2393, 518, 269, 2334, 781, 1141, 10531, 1085, 2393, 518, 610, 23788, 2097, 883, 1404, 256, 1452, 610, 23788, 616, 1507, 267, 2143, 18187, 553, 540, 1085, 2393, 619, 602, 666, 581, 16419, 609, 4408, 543, 7389, 547, 1118, 873, 5963, 2189, 269, 1358, 4196, 607, 1390, 8952, 1389, 585, 19551, 19325, 543, 10781, 538, 1272, 780, 4131, 781, 4685, 4514, 883, 891, 610, 23788, 269, 17214, 856, 540, 2326, 899, 18300, 267, 789, 616, 19756, 2614, 547, 2063, 585, 1296, 1247, 1869, 1373, 17426, 543, 2653, 547, 13793, 593, 513, 3529, 610, 3774, 269, 2060, 513, 2450, 540, 476, 275, 269, 276, 6279, 267, 789, 7001, 782, 519, 1898, 3877, 540, 513, 1483, 1085, 2393, 518, 267, 1519, 922, 31933, 1374, 543, 7524, 4778, 269, 1677, 1283, 621, 1055, 267, 1142, 15022, 3512, 2501, 609, 513, 2893, 514, 26781, 554, 9734, 865, 602, 596, 666, 23217, 4159, 707, 1007, 14951, 780, 4913, 267, 621, 781, 1271, 547, 3314, 602, 4352, 891, 610, 23788, 1413, 32620, 543, 10853, 267, 789, 5749, 1405, 5921, 585, 4890, 946, 269, 5502, 267, 789, 1683, 3308, 9029, 543, 2366, 14939, 1871, 607, 851, 540, 707, 4015, 610, 1753, 26955, 14585, 780, 1103, 3932, 267, 10531, 1085, 2393, 518, 610, 23788, 2709, 513, 1187, 1259, 547, 8661, 938, 6612, 585, 1085, 2393, 619, 543, 29428, 1713, 8090, 538, 938, 2729, 269, 1635, 1620, 741, 3483, 543, 2934, 267, 596, 666, 5660, 891, 23406, 2445, 17156, 543, 6148, 1256, 2015, 4946, 930, 547, 707, 1378, 3395, 909, 610, 23788, 269, 5808, 6487, 1107, 5310, 14693, 267, 596, 1522, 1616, 547, 1711, 707, 1360, 1378, 1085, 2393, 518, 2389, 1335, 539, 4015, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 23114, 1242, 681, 4575, 590, 1723, 582, 518, 2107, 24842, 910, 21058, 454, 3963, 3802, 610, 2196, 950, 596, 666, 723, 1187, 543, 1085, 2393, 518, 10876, 286, 901, 1085, 2393, 518, 15022, 3512, 568, 3501, 585, 1346, 945, 2648, 547, 2951, 693, 519, 3432, 540, 513, 1582, 1790, 1886, 8215, 1085, 2393, 518, 256, 5410, 513, 2012, 543, 1032, 547, 1118, 621, 3063, 2027, 2336, 268, 30014, 1948, 8016, 23310, 293, 454, 268, 10049, 281, 18300, 454, 268, 12025, 281, 476, 275, 269, 276, 4840, 268, 22291, 9045, 514, 25906, 2548, 670, 9734, 454, 7775, 23788, 616, 585, 23732, 1152, 269, 901, 6221, 568, 711, 513, 11442, 563, 31624, 330, 11352, 769, 11431, 5141, 846, 454, 290, 20975, 281, 19663, 5455, 2107, 23788, 267, 5020, 781, 9741, 6660, 16893, 2107, 23788, 267, 2107, 23788, 267, 9608, 1242, 19663, 5455, 2107, 23788, 267, 9608, 1242, 20122, 2421, 1299, 11314, 2107, 23788, 267, 9608, 1242, 2107, 23788, 267, 9608, 1242, 22505, 1299, 28046, 2107, 23788, 267, 11846, 1299, 28046, 2107, 23788, 267, 18815, 2107, 23788, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 269, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 3848, 476, 280, 281, 634, 9119, 540, 24665, 1807, 7136, 15190, 668, 4479, 630, 4456, 306, 2567, 1323, 769, 5937, 3704, 6733, 883, 26994, 25478, 543, 7089, 7010, 692, 1103, 713, 3184, 267, 649, 5490, 2620, 883, 519, 6310, 13210, 602, 20690, 519, 25029, 540, 24665, 1807, 7136, 15190, 668, 4479, 630, 4456, 306, 1070, 4481, 2519, 593, 519, 1523, 540, 10570, 10203, 543, 1297, 1949, 269, 1635, 3695, 891, 3584, 267, 596, 3513, 2744, 513, 4396, 9787, 540, 875, 589, 5960, 13333, 267, 922, 4644, 538, 1585, 3621, 10459, 899, 22884, 267, 28936, 12695, 267, 543, 11976, 267, 543, 1946, 621, 814, 1831, 971, 606, 1898, 10763, 4480, 538, 2413, 1382, 780, 280, 269, 272, 2311, 1682, 267, 1772, 582, 8554, 267, 543, 7101, 542, 16090, 1938, 281, 4197, 27284, 19590, 692, 2414, 2253, 609, 267, 1577, 721, 30603, 2596, 3741, 540, 10570, 2497, 269, 5272, 3114, 3693, 5161, 540, 2189, 2010, 540, 5536, 1572, 8444, 269, 1452, 8444, 666, 723, 1114, 3029, 1634, 607, 24745, 267 ]

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

[ 547, 707, 1970, 2000, 697, 15885, 269, 15331, 609, 1114, 16752, 543, 7285, 547, 11168, 18759, 543, 3986, 707, 3308, 9423, 563, 276, 269, 8125, 17924, 22863, 281, 19024, 3054, 865, 602, 707, 1292, 1641, 7161, 1034, 540, 519, 1769, 2707, 3297, 621, 267, 2870, 513, 11495, 3623, 17924, 8291, 1198, 269, 3550, 602, 972, 781, 2614, 4334, 1063, 519, 1641, 543, 4282, 547, 1118, 519, 3337, 3362, 20559, 1043, 563, 277, 269, 9605, 4103, 281, 12650, 1005, 3595, 1740, 10525, 3340, 2656, 3206, 543, 5730, 12557, 269, 5590, 707, 8254, 547, 8261, 7154, 267, 2824, 513, 1507, 27934, 630, 14683, 535, 5991, 3784, 1070, 543, 946, 513, 6552, 9594, 610, 1582, 2389, 25534, 547, 7413, 21199, 269, 17797, 18869, 8417, 1759, 593, 19355, 8654, 2175, 543, 4776, 1371, 707, 7828, 25656, 547, 2327, 8325, 2164, 780, 2026, 596, 2259, 891, 2553, 267, 3314, 602, 9639, 543, 17634, 616, 1883, 3334, 540, 3811, 30148, 10344, 269, 5213, 1405, 581, 12922, 547, 7903, 6302, 543, 2119, 1007, 4485, 32503, 2760, 917, 1018, 6909, 2592, 24098, 596, 538, 519, 14334, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 20442, 4956, 547, 2119, 1945, 1114, 713, 3390, 267, 513, 6249, 602, 7012, 1406, 2731, 513, 6249, 519, 1259, 23834, 12088, 610, 13673, 309, 312, 610, 570, 30728, 616, 4798, 269, 3776, 19875, 713, 942, 568, 28267, 297, 4488, 4811, 269, 1635, 799, 649, 1611, 547, 17538, 9444, 513, 11826, 1148, 3620, 626, 5566, 2126, 540, 519, 2413, 626, 1843, 267, 6862, 513, 5039, 1670, 2272, 540, 8631, 267, 6862, 930, 5626, 2126, 540, 7287, 543, 922, 3077, 269, 1284, 2219, 540, 621, 607, 513, 1391, 267, 610, 2864, 513, 2243, 2443, 1018, 616, 519, 645, 573, 1735, 652, 1919, 538, 519, 1158, 286, 1284, 4280, 2828, 2025, 543, 1007, 547, 1404, 2059, 609, 721, 267, 4952, 1175, 971, 606, 1843, 267, 543, 1287, 2995, 721, 513, 1650, 827, 621, 563, 4517, 3138, 267, 519, 2984, 789, 5143, 281, 20375, 543, 803, 618, 334, 2849, 328, 282, 11599, 605, 1186, 540, 11599, 1004, 282, 3972, 344, 610, 11537, 6517, 267, 21772, 267, 29198, 267, 27120, 269, 667, 1112, 2209, 616, 5594, 936, 21323, 630, 8117, 1287, 267, 18864, 14560, 513, 4412, 899, 513, 9598, 1807, 1040, 2368, 540, 873, 616, 1769, 610, 627, 15501, 673, 269, 2368, 540, 873, 616, 9157, 547, 1224, 269, 630, 4263, 2547, 835, 540, 873, 729, 9157, 547, 2328, 267, 1491, 1250, 2262, 585, 621, 4700, 2368, 616, 20868, 569, 3001, 269, 589, 1906, 540, 873, 616, 14070, 269, 1809, 782, 540, 873, 267, 530, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 301, 697, 5503, 13624, 578, 6441, 697, 22878, 257, 607, 851, 540, 834, 15771, 5588, 24209, 1315, 16316, 338, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 8080, 547, 519, 4241, 1158, 540, 1769, 543, 875, 3744, 946, 621, 547, 1451, 827, 519, 7122, 1472, 721, 256, 4653, 267, 649, 2811, 2469, 547, 2263, 513, 2027, 1907, 1572, 10548, 534, 21655, 602, 2337, 3173, 1353, 1114, 2326, 676, 3168, 693, 875, 789, 2170, 609, 1769, 269, 5213, 1405, 5855, 952, 596, 10093, 1405, 4862, 540, 713, 1354, 282, 649, 786, 2736, 1524, 1950, 2035, 883, 2653, 3562, 268, 16187, 1893, 865, 3025, 666, 2972, 1565, 1945, 1007, 2439, 5331, 26124, 513, 8755, 2775, 5196, 1585, 7252, 899, 3574, 267, 4496, 267, 5068, 267, 610, 1256, 1426, 3688, 971, 607, 13212, 543, 10381, 269, 1411, 949, 5469, 2242, 538, 2681, 267, 21386, 267, 610, 3270, 4470, 2390, 1018, 2627, 596, 19542, 707, 8755, 2775, 593, 269, 901, 4523, 1317, 1142, 1570, 25309, 543, 9356, 1769, 8335, 1759, 593, 922, 2189, 3601, 269, 3767, 267, 1577, 781, 1491, 713, 8343, 835, 1900, 2417, 1210, 10548, 534, 21655, 2439, 305, 16120, 21655, 3096, 513, 1808, 1826, 540, 1769, 1572, 8955, 547, 5659, 2326, 269, 1879, 519, 8955, 11237, 16716, 513, 3732, 267, 1034, 540, 519, 1769, 2901, 10596, 998, 610, 536, 25555, 1055, 519, 2627, 1175, 899, 938, 8755, 2775, 1383, 269, 1717, 267, 930, 6263, 6824, 540, 519, 16559, 1769, 25457, 513, 1689, 538, 1648, 1813, 547, 4205, 1369, 519, 6675, 540, 519, 3732, 910, 891, 1507, 10593, 7866, 3407, 1344, 827, 519, 2497, 543, 5888, 540, 519, 1570, 1373, 6594, 269, 1635, 6313, 891, 11029, 3604, 267, 3744, 666, 2697, 7164, 6878, 267, 3313, 741, 19454, 1377, 267, 610, 6895, 3114, 6547, 8345, 3330, 873, 780, 4131, 781, 2015, 513, 1483, 8996, 3498, 540, 10548, 534, 21655, 269, 5994, 3843, 547, 4137, 856, 2436, 513, 17576, 7723, 568, 9758, 610, 16995, 269, 12465, 2409, 1522, 4125, 10992, 31659, 17523, 267, 5860, 267, 610, 21052, 4255, 269, 1809, 782, 891, 2553, 2154, 2168, 3346, 609, 519, 6149, 543, 1223, 5732, 3441, 621, 269, 2060, 10548, 534, 21655, 267, 2705, 267, 972, 781, 1100, 991, 547, 5905, 519, 1843, 693, 782, 256, 3962, 7777, 814, 922, 1378, 3982, 19706, 31937, 267, 3850, 3173, 547, 3362, 10646, 1063, 19987, 267, 6299, 625, 267, 900, 1968, 1091, 267, 3092, 1421, 1247, 6028, 519, 10475, 10007, 21379, 28534, 1282, 4152, 780, 5194, 10578, 1858, 1141, 10548, 534, 21655, 4249, 513, 1713, 1909, 568, 2230, 3408, 269, 13562, 12002, 1419, 7237, 7965, 4974, 11397, 18477, 4703, 2047, 1813, 547, 5318, 9883, 3238, 269, 5502, 267, 789, 2445, 5182, 2775, 10630, 1055, 26300, 15362, 7452, 9274, 543, 12269, 267, 15691, 547, 2744, 4030, 827, 741, 15885, 269, 4635, 10548, 534, 21655, 267, 19936, 666, 1232, 1712, 519, 3169, 2609, 1818, 909, 1346, 17184, 5536, 267, 3246, 10881, 827, 5182, 5250, 3157, 267, 19236, 1062, 4720, 267, 543, 824, 4230, 15929, 9259, 9648, 2484, 2476, 689, 3047, 780, 1103, 3932, 267, 10548, 534, 21655, 3091, 6909, 7399, 950, 621, 2501, 547, 1620, 2339, 693, 1312, 12550, 543, 2890, 10253, 269, 3245, 7114, 4948, 3615, 547, 30196, 11580, 540, 519, 7122, 267, 713, 11684, 1505, 5170, 11319, 6302, 538, 3621, 6602, 269, 5808, 6487, 286, 9320, 14693, 9358, 786, 1831, 513, 22082, 9001, 10548, 534, 21655, 585, 14262, 8906, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 305, 16120, 3194, 10298, 454, 5804, 1164, 2773, 1476, 5914, 10548, 534, 9145, 8554, 547, 20688, 13402, 3435, 543, 3834, 1156, 725, 267, 649, 723, 1044, 5885, 1382, 18129, 2094, 476, 3422, 279, 2336, 295, 3036, 296, 10621, 11660, 568, 519, 1158, 6205, 538, 10548, 534, 21655, 267, 609, 519, 2640, 540, 811, 982, 476, 2004, 1296, 540, 5647, 538, 519, 4480, 269, 10548, 534, 22794, 568, 513, 4480, 799, 2636, 3728, 267, 1875, 1673, 652, 10614, 3114, 2079, 540, 17571, 267, 32340, 267, 15559, 267, 543, 9362, 1107, 2221, 267, 10548, 534, 21655, 568, 1031, 538, 1082, 9867, 4610, 267, 689, 4909, 1382, 909, 547, 4294, 3435, 563, 2171, 1683, 2347, 10548, 534, 21655, 3435, 585, 10763, 7403, 267, 1382, 10548, 534, 267, 11158, 10548, 534, 267, 1627, 290, 270, 304, 288, 543, 4853, 10548, 534, 3156, 269, 1452, 1331, 10548, 534, 26563, 4394, 267, 10316, 10548, 534, 1949, 630, 7945, 607, 19200, 300, 7304, 16120, 1070, 22606, 10548, 534, 1949, 267, 6771, 10548, 534, 2555, 345, 619, 267, 6131, 538, 2198, 1184, 10548, 534, 26563, 4394, 267, 543, 9910, 4405, 1242, 10548, 534, 7405, 585, 1164, 4320, 744, 4932, 9755, 269, 3776, 10548, 534, 21655, 7405, 616, 1031, 538, 20380, 5203, 16951, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 305, 16120, 15190, 18122, 257, 607, 851, 540, 834, 306, 11799, 1315, 15190, 18122, 1299, 25400, 5811, 2668, 634, 1543, 1058, 581, 3358, 585, 1647, 1153, 1053, 1510, 1991, 1702, 540, 519, 1888, 780, 2521, 547, 1384, 268, 3629, 2143, 3137, 267, 2057, 2930, 3822, 267, 543, 1459, 519, 2093, 538, 513, 3551, 267, 2239, 3159, 563, 268, 3417, 1806, 547, 1118, 519, 1641, 3839, 543, 3078, 585, 1762, 1647, 1153, 1053, 563, 268, 3680, 4304, 519, 1357, 1349, 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 7689, 281, 16763, 781, 22206, 1359, 543, 18321, 6888, 692, 5331, 24971, 909, 835, 1554, 543, 4466, 856, 602, 3388, 596, 1378, 814, 1044, 3144, 2476, 689, 596, 1107, 707, 2777, 267, 707, 2724, 267, 1256, 707, 1453, 256, 901, 568, 4010, 1018, 5949, 547, 513, 812, 3957, 16763, 538, 519, 6426, 269, 1809, 1946, 1705, 713, 4755, 547, 1864, 286, 9894, 646, 798, 1945, 4636, 286, 2913, 781, 1265, 856, 811, 827, 16763, 781, 1650, 543, 875, 646, 7283, 21705, 5103, 1010, 7092, 780, 8005, 12984, 16763, 888, 2411, 692, 297, 984, 5030, 513, 1279, 942, 3516, 538, 513, 2244, 1572, 772, 345, 630, 933, 1810, 1405, 2731, 917, 1141, 602, 568, 1040, 1261, 1185, 513, 2462, 1920, 267, 1082, 22063, 267, 543, 6266, 540, 2831, 899, 4342, 1564, 267, 13265, 267, 543, 3404, 523, 269, 16763, 729, 849, 1360, 3638, 543, 1134, 15197, 676, 3025, 945, 6785, 1864, 1317, 646, 729, 971, 513, 1434, 1268, 780, 307, 709, 1076, 1290, 525, 12928, 12177, 454, 2411, 15365, 3080, 1554, 267, 30616, 630, 1492, 26881, 264, 3357, 1354, 2696, 543, 15034, 16763, 540, 1373, 1152, 1434, 1317, 540, 782, 519, 25736, 2696, 1185, 2016, 1864, 269, 1677, 6961, 16763, 781, 5132, 6888, 267, 2696, 4847, 30616, 547, 1449, 1864, 676, 2921, 2476, 3388, 646, 11262, 543, 4929, 1864, 1928, 269, 1717, 267, 972, 941, 930, 3652, 281, 30616, 7948, 1405, 6146, 16763, 5128, 269, 1924, 267, 936, 513, 2110, 1974, 267, 16763, 4503, 782, 1010, 22590, 267, 1519, 1010, 4557, 1453, 267, 1813, 547, 1585, 12469, 543, 10913, 780, 8601, 891, 32333, 267, 16763, 7283, 2178, 538, 1010, 5132, 2509, 2696, 543, 4769, 1405, 5609, 1996, 13924, 269, 5502, 267, 646, 26902, 5792, 2696, 543, 1767, 267, 968, 301, 8898, 594, 3357, 689, 1250, 3993, 779, 27042, 267, 543, 21736, 4927, 594, 2132, 972, 269, 634, 7083, 5795, 267, 543, 519, 7083, 814, 3144, 2476, 282, 25552, 581, 519, 2012, 540, 519, 7083, 892, 630, 297, 984, 476, 272, 281, 2641, 11536, 309, 6393, 3719, 519, 4530, 8033, 1132, 454, 2411, 19030, 10214, 1498, 16763, 5293, 519, 1101, 1449, 267, 30616, 7012, 1405, 13854, 2943, 269, 1261, 4280, 2696, 952, 646, 1223, 2800, 16763, 9308, 267, 1932, 269, 11088, 267, 2696, 15868, 713, 855, 6870, 16763, 781, 1272, 269, 17652, 2614, 267, 16763, 2968, 4988, 538, 11213, 1630, 2812, 689, 2212, 547, 23179, 269, 4634, 1010, 7385, 24016, 1864, 547, 31169, 2696, 543, 5884, 269, 12846, 267, 998, 782, 713, 1928, 267, 16763, 8359, 547, 3972, 2696, 780, 293, 12188, 16731, 267, 3502, 29955, 13518, 454, 28598, 16248, 2828, 10272, 16763, 1247, 646, 729, 2469, 998, 713, 2182, 942, 269, 1358, 6170, 5722, 2395, 543, 17334, 1927, 1510, 6031, 4376, 267, 799, 2982, 721, 602, 3006, 1175, 9361, 1985, 547, 2576, 1282, 9157, 2053, 666, 948, 873, 1745, 1447, 4805, 269, 16828, 267, 789, 6836, 4313, 532, 16763, 676, 4758, 741, 8369, 593, 1946, 891, 3983, 1919, 5949, 547, 1864, 269, 10251, 267, 3079, 540, 8716, 16763, 267, 741, 1913, 1500, 1864, 1745, 8338, 780, 7661, 267, 1310, 6947, 547, 1010, 2828, 585, 1896, 11271, 267, 16763, 524, 3072, 856, 547, 2696, 6998, 585, 4267, 269, 3973, 267, 2696, 12943, 16763, 267, 22348, 1864, 540, 3571, 30493, 543, 1379, 269, 1635, 519, 1439, 540, 519, 1433, 267, 16763, 7691, 602, 3425, 3112, 4628, 1174, 2696, 781, 2081, 269, 11086, 267, 16763, 1208, 16940, 5128, 543, 1065, 5034, 540, 1022, 22027, 646, 1522, 723, 1185, 780, 27832, 976, 1284, 6258, 3245, 16763, 454, 10900, 692, 2467, 616, 1079, 1898, 4245, 649, 666, 1491, 2476, 689, 16763, 781, 1650, 1384, 272, 269, 2878, 18661, 4255, 938, 5132, 4995, 3807, 607, 16763, 4810, 267, 649, 786, 3068, 2352, 8090, 538, 938, 2729, 267, 1932, 269, 1452, 2591, 1450 ]

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

[ 538, 4789, 267, 621, 729, 1454, 4130, 630, 1626, 1111, 1279, 1070, 5030, 4505, 630, 520, 4098, 540, 519, 30083, 26226, 264, 543, 729, 8167, 958, 10156, 16250, 22486, 543, 3476, 32567, 982, 4432, 11047, 28683, 1498, 2442, 28402, 3006, 1397, 621, 607, 513, 20538, 1714, 11047, 13239, 267, 609, 513, 3476, 8405, 543, 4130, 2212, 982, 538, 7464, 5020, 563, 303, 1601, 4601, 7064, 547, 741, 21300, 1014, 1413, 543, 519, 7681, 609, 15315, 267, 726, 525, 3930, 320, 2720, 723, 1044, 519, 1034, 11599, 543, 13269, 4262, 20641, 538, 2923, 269, 6145, 17878, 543, 533, 614, 14795, 267, 2503, 547, 1294, 873, 607, 17559, 28749, 609, 513, 11318, 10182, 2509, 3425, 269, 1403, 9800, 2221, 267, 1256, 519, 7887, 4432, 11047, 28683, 9327, 1405, 581, 811, 10728, 982, 1034, 16385, 630, 24392, 789, 1223, 16662, 1549, 958, 16765, 1248, 707, 6263, 10935, 610, 986, 1111, 1040, 10261, 1652, 547, 2161, 267, 3592, 1169, 942, 513, 726, 525, 3930, 4768, 2982, 909, 267, 2576, 786, 3142, 909, 519, 700, 5255, 715, 612, 30947, 563, 268, 28678, 5384, 281, 476, 6977, 275, 630, 303, 956, 3930, 19653, 5148, 476, 4350, 274, 630, 14976, 11047, 28683, 994, 268, 18858, 701, 631, 6033, 281, 32423, 20066, 5244, 630, 303, 956, 3930, 19653, 5148, 634, 12312, 540, 15158, 630, 14976, 11047, 28683, 994, 14503, 2089, 1229, 570, 10455, 2335, 14795, 281, 918, 1258, 28683, 1299, 9149, 963, 1755, 18484, 2878, 454, 763, 1279, 16250, 22486, 726, 525, 3930, 879, 28281, 4866, 547, 519, 28397, 1886, 6670, 22468, 2706, 16766, 267, 799, 849, 2882, 519, 1773, 3930, 320, 2720, 630, 528, 726, 3930, 879, 28281, 267, 865, 10777, 689, 741, 12926, 21372, 4408, 820, 267, 1773, 3930, 19653, 264, 543, 824, 14758, 8153, 2516, 540, 4262, 20641, 269, 8625, 267, 726, 525, 3930, 879, 28281, 543, 726, 3930, 879, 28281, 1118, 519, 623, 956, 3930, 4768, 807, 267, 513, 21993, 18502, 269, 834, 1255, 3930, 320, 2720, 257, 538, 6626, 2631, 267, 23608, 689, 519, 1482, 1455, 22660, 538, 519, 10222, 26226, 15798, 269, 634, 2078, 540, 10487, 1886, 6670, 326, 2103, 547, 2413, 20641, 814, 1279, 1044, 15458, 269, 4495, 267, 789, 941, 5116, 609, 476, 747, 20321, 14795, 538, 741, 1378, 32299, 267, 543, 711, 1644, 609, 1022, 1869, 2000, 1516, 16277, 27482, 1895, 269, 4653, 267, 726, 525, 3930, 320, 2720, 2283, 340, 4234, 334, 630, 680, 3930, 320, 2720, 3769, 264, 616, 711, 2219, 547, 581, 5702, 1644, 547, 476, 747, 20321, 14795, 269, 1358, 3100, 11397, 569, 1644, 547, 2413, 28499, 610, 6148, 16015, 267, 2864, 982, 547, 25438, 3796, 543, 17878, 563, 12024, 726, 525, 3930, 879, 28281, 267, 726, 3930, 879, 28281, 941, 7839, 2429, 519, 12379, 32223, 267, 476, 25908, 268, 4792, 1250, 320, 269, 5637, 1016, 25364, 3838, 519, 1482, 1560, 1544, 267, 609, 14461, 4703, 267, 2110, 21217, 267, 543, 1079, 8424, 540, 3532, 1166, 26802, 5310, 6410, 3124, 2299, 547, 3132, 513, 6093, 834, 29602, 26310, 257, 10977, 1198, 630, 553, 2938, 538, 29303, 609, 20550, 14795, 1040, 634, 3017, 568, 538, 4395, 540, 741, 17525, 269, 1773, 3930, 320, 2720, 1185, 1360, 2110, 267, 6006, 344, 683, 4242, 267, 543, 741, 9843, 941, 2484, 8273, 982, 602, 540, 606, 4432, 11047, 28683, 269, 4256, 4522, 941, 1447, 3875, 267, 855, 1454, 3476, 543, 6793, 281, 899, 1714, 11047, 14795, 267, 2503, 547, 1294, 873, 7298, 950, 519, 5023, 568, 6806, 267, 1256, 1498, 789, 949, 723, 1044, 6456, 676, 17534, 538, 7464, 5020, 269, 6736, 519, 3604, 538, 8167, 267, 519, 2212, 14169, 540, 726, 525, 3930, 320, 2720, 543, 726, 3930, 320, 2720, 729, 519, 1482, 269, 5637, 1185, 4064, 543, 19911, 337, 2812, 5116, 1657, 547, 1294, 856, 540, 1216, 950, 519, 1964, 540, 519, 2212, 729, 24760, 269, 5637, 3838, 513, 13737, 16023, 281, 1142, 19911, 22567, 1185, 1079, 20830, 899, 3165, 267, 7654, 4758, 873, 513, 4287, 531, 2631, 540, 9329, 269, 1284, 21645, 917, 952, 789, 5293, 811, 942, 2282, 519, 2627, 610, 538, 519, 2620, 338, 267, 855, 930, 1589, 726, 3930, 320, 2720, 941, 811, 2620, 5498, 320, 7068, 982, 726, 525, 3930, 320, 2720, 563, 303, 2993, 14795, 941, 1083, 2406, 13355, 267, 930, 941, 1100, 8273, 982, 23522, 267, 855, 519, 7887, 3283, 616, 10457, 585, 519, 2140, 540, 4102, 4262, 16277, 850, 2479, 1498, 741, 2450, 814, 1419, 1044, 27105, 269, 7324, 519, 8545, 267, 9149, 963, 1755, 18484, 543, 918, 1258, 28683, 941, 930, 540, 519, 1283, 11975, 540, 519, 3735, 30083, 26226, 543, 2038, 31350, 17675, 12084, 6606, 269, 3689, 1922, 895, 538, 5245, 538, 476, 4572, 275, 543, 2899, 6059, 693, 476, 1626, 332, 1279, 630, 1015, 332, 568, 811, 2693, 1070, 918, 1258, 28683, 568, 3957, 585, 595, 1258, 639, 267, 513, 5259, 21419, 945, 1821, 10696, 1010, 1378, 15556, 630, 2865, 540, 519, 10493, 2103, 1851, 873, 1040, 9149, 963, 1755, 18484, 729, 1336, 538, 2342, 538, 519, 3735, 476, 866, 628, 2540, 543, 729, 1360, 2147, 547, 519, 5449, 267, 855, 811, 18642, 267, 5594, 3476, 16250, 22486, 267, 543, 609, 1447, 4522, 269, 1306, 568, 8912, 609, 7286, 2706, 335, 1042, 2209, 267, 1312, 616, 2356, 13269, 607, 24271, 559, 612, 2479, 3620, 2426, 787, 11318, 6191, 563, 8601, 713, 267, 726, 3930, 320, 2720, 723, 1044, 519, 2547, 268, 1636, 2001, 539, 1895, 540, 4262, 20641, 267, 543, 1869, 2611, 5631, 7068, 540, 32026, 269, 918, 1258, 28683, 729, 1279, 519, 1034, 4122, 6879, 1144, 726, 3930, 4768, 538, 2835, 543, 32026, 2394, 476, 1960, 280, 267, 950, 513, 12300, 5920, 540, 606, 8626, 27274, 16136, 1242, 16694, 9149, 963, 1755, 18484, 593, 29303, 609, 20550, 14795, 6385, 1500, 621, 519, 1007, 11599, 4759, 540, 519, 1920, 269, 769, 519, 1397, 267, 606, 2025, 5256, 9149, 963, 1755, 18484, 729, 4330, 20604, 476, 5611, 9748, 630, 320, 3787, 1447, 982, 519, 4544, 17962, 264, 543, 519, 7887, 23246, 540, 782, 942, 269, 769, 1880, 267, 519, 6429, 538, 799, 646, 669, 558, 1186, 606, 476, 747, 20321, 13239, 547, 4773, 22841, 1082, 13588, 267, 1498, 519, 8909, 3803, 6429, 1141, 11688, 18843, 539, 899, 513, 17962, 543, 7444, 10523, 568, 3254, 538, 513, 1360, 2295, 12577, 1259, 269, 1677, 2285, 606, 2856, 827, 875, 519, 3662, 7283, 24330, 538, 1402, 9637, 281, 782, 20422, 26007, 723, 3254, 9149, 963, 1755, 323, 976, 609, 519, 13431, 291, 4544, 22554, 2681, 4806, 563, 2690, 930, 2601, 267, 7429, 17878, 543, 533, 614, 14795, 267, 7286, 20641, 616, 2356, 3254, 609, 20585, 4778, 1256, 538, 2413, 28402, 269, 1717, 267, 930, 540, 873, 1522, 723, 1044, 1360, 10477, 267, 899, 2413, 9341, 694, 6210, 532, 2831, 269, 6271, 2249, 602, 568, 4358, 547, 4473, 538, 8560, 568, 1773, 3930, 19653, 1187, 651, 328, 267, 1634, 538, 2442, 2528, 607, 20530, 1807, 2473, 269, 2311, 606, 6059, 476, 1724, 15432, 543, 476, 1839, 9748, 538, 2597, 630, 10594, 3373, 621, 729, 936, 476, 1428, 15432, 543, 476, 3393, 9748, 855, 3163, 16205, 1127, 2201, 1070, 621, 781, 2693, 602, 621, 729, 519, 4102, 540, 713, 1895, 267, 543, 713, 729, 13745, 609, 513, 11116, 602, 729, 6059, 547, 581, 2185, 2053, 602, 540, 570, 269, 556, 343, 563, 268, 28678, 5384, 281, 3768, 17827, 630, 298, 1258, 28683, 5148, 476, 1960, 280, 630, 30537, 963, 1755, 18484, 994, 268, 18858, 701, 631, 6033, 281, 19232, 334, 19603, 630, 298, 1258, 28683, 5148, 29303, 609, 20550, 14795, 630, 30537, 963, 1755, 18484, 994, 293, 880, 267, 667, 20462, 514, 267, 610, 700, 19123, 286, 594, 577, 20321, 28683, 2878, 454, 296, 577, 20321, 14795, 723, 519, 1360, 859, 25607, 2012, 540, 834, 8127, 2000, 23275, 9899, 789, 2731, 11696, 1194, 1804, 3165, 538, 3337, 543, 10977, 2511, 267, 855, 11291, 2413, 23522, 607, 1134, 7064, 547, 741, 1166, 26802, 543, 741, 1279, 2879, 8083, 269, 6145, 24991, 543, 7429, 23522, 267, 789, 1185, 2185, 1166, 26802, 630, 1150, 4148, 26802, 941, 2356, 8273, 264, 543, 606, 20005, 1309, 644, 531, 1710, 563, 2026, 513, 1895, 267, 476, 747, 20321, 14795, 941, 519, 1034, 3504, 7286, 20641, 267, 543, 941, 7839, 689, 519, 5664, 10222, 26226, 2394, 519, 17623, 31350, 17675, 267, 476, 25090, 268, 3445, 1250, 320, 267, 855, 4682, 17255, 476, 1839, 2929, 1296, 1354, 519, 918, 307, 14486, 585, 15458, 4128, 269, 4495, 267, 476, 747, 20321, 14795, 267, 726, 525, 3930, 320, 2720, 543, 726, 3930, 320, 2720, 941, 2322, 1927, 538, 741, 1378, 1895, 267, 519, 834, 324, 1722, 2355, 1749, 2580, 19618, 676, 2348, 513, 2582, 6292, 540, 535, 523, 652, 571, 324, 593, 519, 1283, 540, 519, 15693, 269, 4653, 267, 834, 324, 1722, 2355, 1749, 257, 616, 16119, 2322, 538, 519, 1019, 2355, 573, 1895, 630, 6518, 849, 3769, 17878, 267, 533, 614, 14795, 543, 782, 2713, 20641, 1040, 594, 577, 20321, 14795, 941, 1851, 519, 1360, 1101, 1019, 2355, 1749, 547, 723, 7960, 281, 2094, 789, 616, 711, 1644, 547, 1022, 2413, 3662, 1895, 630, 28387, 7303, 1434, 16198, 1070, 789, 1869, 2611, 3833, 12357, 1814, 1562, 563, 5327, 322, 2105, 689, 513, 1869, 10595, 4385, 2244, 1673, 16946, 22660, 630, 8145, 1897, 267, 1169, 22871, 540, 7286, 20641, 26731, 689, 2185, 29438, 5523, 18714, 20641, 1070, 476, 747, 20321, 14795, 941, 519, 1034, 7286, 540, 782, 7286, 20641, 543, 2760, 3357, 5196, 2244, 267, 711, 1256, 547, 2482, 5798, 269, 769, 1249, 267, 741, 1762, 941, 4535, 9800, 1175, 899, 2413, 23522, 267, 607, 649, 666, 1294, 538, 930, 15455, 540, 11299, 4666, 609, 741, 15556, 1175, 3478, 856, 540, 741, 1560, 269, 1284, 1631, 917, 602, 726, 525, 3930, 320, 2720, 849, 25735, 538, 519, 1482, 1259, 543, 4440, 2760, 2451, 519, 1216, 2901, 1256, 1498, 519, 6429, 540, 513, 1279, 16250, 22486, 726, 525, 3930, 4768, 799, 17875, 3149, 593, 519, 694, 1662, 648, 899, 513, 4262, 17794, 568, 513, 20013, 538, 11247, 269, 594, 577, 20321, 14795, 616, 5393, 10731, 538, 8093, 2594, 281, 1896, 2043, 616, 12873, 609, 2571, 5160, 543, 267, 3006, 267, 1256, 519, 29501, 540, 519, 2898, 1560, 269, 8729, 547, 519, 8545, 267, 649, 917, 789, 1185, 513, 24725, 1710, 543, 513, 524, 29266, 11057, 1309, 644, 531, 1710, 607, 1134, 607, 519, 2185, 19610, 834, 4148, 26802, 2668, 589, 9490, 3364, 568, 519, 22449, 17208, 1524, 2072, 693, 519, 2766, 1377, 267, 543, 4904, 519, 2539, 27914, 540, 519, 1309, 644, 531, 1710, 267, 711, 519, 5580, 835, 519, 3169, 6587, 540, 2413, 16142, 563, 19853, 4064, 941, 16113, 1804, 585, 1434, 5075, 282, 1034, 28402, 1397, 476, 747, 20321, 14795, 609, 5180, 10453, 543, 1100, 22442, 1749, 267, 899, 513, 6093, 3165, 269, 4787, 1638, 17725, 23761, 941, 1175, 538, 4395, 540, 519, 4064, 267, 855, 519, 19911, 337, 2812, 1522, 723, 1044, 593, 1283, 540, 519, 2212, 899, 2413, 16385, 630, 2288, 713, 568, 11207, 23019, 1040, 4256, 2960, 729, 5347, 543, 8652, 323, 29174, 899, 513, 18107, 514, 267, 607, 3254, 538, 8093, 16493, 281, 789, 941, 5310, 519, 1152, 20641, 2479, 4171, 2960, 729, 11207, 9470, 6804, 267, 4780, 326, 1836, 609, 524, 564, 30702, 269, 634, 5023, 729, 2356, 4904, 609, 8650, 4522, 281, 1034, 476, 747, 20321, 14795, 17696, 3165, 267, 855, 16139, 2572, 543, 824, 32729, 941, 849, 593, 741, 10624, 269, 1284, 1810, 1405, 917, 1018, 2600, 540, 942, 789, 5293, 14015, 282, 789, 949, 723, 1044, 2111, 547, 1349, 930, 5135, 2047, 689, 519, 1216, 899, 2413, 4262, 16015, 267, 855, 789, 6157, 1705, 13236, 5781, 899, 1169, 16277, 850, 563, 763, 11696, 28917, 547, 23522, 814, 1362, 1227, 3366, 5159, 547, 1397, 476, 747, 20321, 14795, 17259, 856, 540, 1216, 538, 513, 18107, 514, 880, 2511, 267, 855, 713, 568, 711, 8810, 269, 1133, 17141, 585, 17255, 20641, 267, 834, 8127, 2000, 23275, 257, 1419, 9101, 519, 12556, 540, 1373, 17814, 607, 834, 3000, 9094, 257, 1862, 693, 2547, 538, 2413, 32026, 269, 20323, 267, 476, 747, 20321, 14795, 941, 13269, 607, 811, 25438, 850, 268, 610, 9923, 553, 4768, 6438, 267, 609, 1100, 1309, 644, 531, 610, 24725, 27634, 269, 634, 4583, 834, 747, 20321, 13239, 257, 538, 31996, 525, 3209, 568, 1759, 593, 713, 2038, 7664, 269, 11153, 824, 14070, 476, 747, 20321, 14795, 723, 1287, 1044, 6273, 676, 519, 3312, 563, 9213, 267, 811, 8242, 476 ]

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

[ 7061, 11707, 267, 855, 621, 3884, 1406, 519, 1152, 4528, 563, 2691, 717, 2714, 525, 2006, 2919, 1010, 1505, 540, 1138, 6819, 1849, 858, 867, 11387, 267, 646, 1759, 621, 593, 606, 4587, 3099, 540, 7061, 11707, 2919, 676, 654, 518, 1676, 1261, 17470, 6199, 269, 769, 1261, 17470, 6199, 779, 6310, 1893, 267, 519, 1533, 540, 519, 5536, 3085, 1406, 1689, 269, 5502, 267, 621, 779, 519, 968, 6016, 2209, 892, 2443, 519, 6310, 3615, 596, 1522, 946, 547, 3589, 519, 12918, 540, 930, 8343, 2443, 602, 11457, 269, 10163, 878, 1154, 835, 779, 2070, 547, 1863, 535, 1069, 687, 3322, 13156, 7061, 11707, 998, 2943, 1776, 6310, 7828, 563, 10376, 6310, 1893, 1714, 13228, 1836, 19306, 1978, 3344, 540, 7061, 2829, 267, 855, 693, 519, 3902, 540, 6095, 17331, 930, 824, 7061, 3959, 269, 1452, 804, 4548, 1176, 6829, 3601, 1287, 1831, 519, 7061, 4199, 538, 602, 6310, 5943, 2443, 519, 9059, 267, 519, 1303, 836, 2211, 267, 519, 535, 1069, 31020, 9059, 269, 28304, 713, 20159, 543, 7114, 835, 7061, 4183, 547, 4341, 873, 782, 267, 808, 9926, 21542, 1179, 12885, 267, 1131, 2154, 1565, 782, 519, 2009, 6310, 4654, 585, 11589, 7061, 11707, 543, 3168, 585, 8471, 7592, 789, 782, 1522, 2671, 563, 6546, 779, 711, 513, 3226, 3978, 1382, 11556, 267, 855, 3173, 616, 4974, 2417, 7061, 4654, 3564, 519, 2101, 1614, 267, 543, 519, 7222, 7061, 2200, 602, 2097, 2059, 609, 873, 269, 670, 338, 773, 327, 267, 585, 3236, 267, 568, 5461, 538, 11775, 540, 7061, 2339, 602, 3132, 20060, 839, 673, 2942, 17831, 950, 9916, 538, 513, 3044, 1259, 269, 901, 2258, 18356, 267, 646, 814, 1336, 267, 666, 5581, 1978, 11775, 540, 2339, 1175, 607, 9059, 666, 563, 13356, 3547, 3516, 267, 621, 8604, 607, 952, 519, 2626, 547, 519, 2243, 540, 1018, 2306, 513, 1062, 7061, 729, 6654, 269, 4653, 267, 3173, 917, 1732, 269, 2991, 476, 736, 1296, 3695, 519, 1101, 1906, 8106, 10195, 267, 1082, 14353, 741, 22116, 949, 2760, 2097, 547, 513, 2673, 269, 4634, 607, 789, 3136, 547, 13217, 741, 1620, 540, 1141, 7061, 1379, 568, 711, 267, 789, 917, 789, 949, 2760, 581, 2111, 547, 2161, 10502, 1141, 621, 568, 563, 5226, 9017, 568, 10647, 513, 3126, 540, 12220, 547, 1732, 4196, 938, 5304, 269, 6875, 938, 6323, 5467, 5619, 543, 596, 786, 581, 9411, 547, 3094, 1863, 2372, 9017, 25584, 269, 0, 294, 6504, 568, 513, 7328, 602, 3340, 8856, 267, 9639, 267, 543, 2259, 269, 3509, 1004, 4898, 875, 1279, 621, 3217, 547, 1831, 21295, 693, 17075, 543, 4487, 519, 3014, 269, 634, 2626, 547, 713, 2243, 568, 711, 513, 3551, 835, 607, 621, 5673, 593, 1585, 2188, 971, 607, 2067, 13007, 267, 11428, 267, 543, 519, 2179, 540, 942, 6170, 8026, 269, 2368, 17075, 619, 949, 2087, 3533, 538, 1175, 513, 1906, 3275, 267, 1247, 1866, 949, 1491, 1296, 547, 1294, 1713, 3356, 269, 769, 713, 2376, 267, 649, 786, 2263, 519, 2188, 602, 1860, 519, 942, 621, 3217, 547, 1831, 513, 9952, 575, 565, 2536, 543, 1683, 930, 4388, 585, 14971, 17075, 619, 547, 2087, 741, 3014, 269, 1924, 267, 952, 596, 2461, 4712, 547, 1491, 707, 17075, 3014, 547, 519, 1985, 1377, 267, 1832, 2542, 2336, 2005, 568, 2352, 547, 3313, 606, 3169, 1297, 540, 1296, 621, 3217, 547, 4487, 519, 3014, 540, 17075, 267, 607, 621, 666, 4268, 7494, 4470, 593, 1367, 2188, 971, 607, 2067, 13007, 267, 11428, 267, 543, 519, 2179, 540, 942, 543, 2200, 6131, 547, 8026, 543, 5355, 269, 2368, 17075, 619, 949, 581, 2111, 547, 4487, 519, 9238, 538, 513, 1906, 1296, 267, 1247, 1866, 949, 1491, 1454, 3476, 547, 1020, 741, 1983, 547, 513, 1164, 1377, 269, 3958, 267, 519, 4214, 540, 968, 24490, 344, 892, 666, 849, 4268, 267, 609, 930, 17075, 619, 20678, 547, 1831, 4648, 543, 1866, 3274, 11981, 519, 3014, 607, 513, 15908, 269, 11086, 267, 519, 2179, 540, 942, 621, 3217, 547, 4487, 17075, 786, 4096, 593, 519, 1367, 779, 3853, 543, 741, 7029, 547, 8026, 543, 5355, 741, 1983, 563, 763, 11957, 540, 6657, 454, 21995, 717, 6504, 9828, 454, 294, 6504, 568, 513, 7328, 602, 3340, 513, 1390, 4308, 540, 2930, 5578, 543, 8856, 269, 769, 1931, 547, 4487, 519, 3014, 267, 621, 568, 1898, 547, 1020, 513, 2178, 5748, 540, 2596, 2553, 269, 1452, 2553, 1331, 519, 17945, 267, 18879, 267, 543, 18711, 563, 763, 17945, 568, 519, 5748, 540, 1022, 17075, 8929, 269, 589, 1697, 17945, 5849, 602, 519, 8630, 568, 4371, 538, 513, 1259, 602, 2636, 585, 5021, 1852, 543, 6111, 269, 1677, 1020, 513, 1434, 17945, 267, 621, 568, 1271, 547, 3180, 519, 8630, 609, 519, 27374, 6849, 1142, 824, 543, 519, 11263, 20386, 1472, 519, 6023, 563, 763, 18879, 568, 519, 2990, 540, 519, 1560, 1282, 513, 17075, 18711, 269, 589, 1697, 18879, 2337, 547, 2226, 3666, 543, 1852, 2429, 519, 18711, 269, 1677, 3035, 513, 1434, 18879, 267, 519, 3952, 1058, 581, 13105, 2914, 5954, 6306, 267, 609, 519, 19704, 5594, 18761, 269, 634, 2597, 1058, 581, 7856, 14961, 593, 1312, 3952, 267, 609, 519, 5354, 540, 519, 2597, 593, 519, 1394, 3723, 563, 763, 18711, 568, 519, 1034, 1271, 2460, 540, 519, 17075, 3014, 269, 898, 568, 519, 5163, 602, 11479, 519, 3440, 4464, 543, 11887, 922, 4287, 543, 3845, 269, 1677, 1020, 513, 1434, 18711, 267, 621, 568, 1271, 547, 1376, 609, 513, 3500, 267, 6417, 5163, 543, 7930, 2333, 3432, 607, 15334, 10607, 269, 634, 18711, 1058, 581, 5347, 543, 24754, 267, 609, 519, 7916, 543, 1560, 2324, 1927, 538, 10103, 563, 1103, 1840, 547, 2168, 4480, 267, 2790, 7041, 568, 849, 2629, 547, 13215, 519, 3014, 540, 17075, 269, 24517, 1674, 267, 6015, 267, 543, 1445, 616, 782, 1898, 3334, 540, 513, 3811, 575, 565, 2536, 779, 2790, 3014, 563, 3519, 1417, 1674, 568, 519, 2702, 547, 2226, 1445, 543, 3007, 593, 519, 4305, 693, 1688, 269, 769, 17075, 267, 713, 1797, 9363, 5059, 593, 519, 8929, 693, 1688, 267, 24937, 19240, 267, 543, 9363, 15508, 1459, 2429, 519, 3003, 18711, 563, 18183, 2064, 568, 519, 3661, 538, 835, 779, 2702, 547, 8011, 269, 589, 8746, 575, 565, 2536, 568, 811, 2693, 547, 1685, 1134, 896, 2604, 543, 7753, 9465, 269, 1677, 1020, 6015, 267, 621, 568, 1271, 547, 1305, 10853, 3853, 267, 8661, 1507, 18454, 267, 543, 1445, 593, 2250, 10781, 563, 30696, 568, 519, 2702, 547, 1463, 3007, 543, 4674, 2509, 513, 1808, 3804, 269, 769, 17075, 267, 713, 1797, 5329, 519, 4064, 593, 519, 3440, 267, 9319, 19240, 267, 543, 9363, 15508, 1459, 2429, 519, 3003, 18711, 269, 1677, 2087, 1445, 267, 621, 568, 5363, 547, 2259, 11009, 2553, 267, 971, 607, 2620, 7244, 543, 14839, 563, 763, 10020, 540, 19019, 454, 23804, 519, 9406, 3213, 778, 454, 2691, 621, 2501, 547, 4466, 519, 1318, 16455, 547, 948, 596, 4487, 519, 3014, 540, 17075, 267, 972, 616, 1896, 1883, 20340, 547, 2015, 269, 1452, 20340, 1331, 1995, 267, 2069, 267, 4730, 1995, 267, 543, 7209, 563, 3080, 540, 519, 1034, 1271, 20340, 547, 1413, 585, 538, 513, 17075, 16455, 568, 1995, 269, 27814, 267, 596, 1616, 547, 1265, 513, 16455, 945, 814, 513, 8810, 3950, 2594, 540, 1967, 267, 1312, 538, 2474, 540, 741, 1378, 4730, 4876, 543, 741, 2702, 547, 16455, 1866, 269, 6733, 585, 513, 16455, 945, 814, 1995, 2324, 609, 5716, 693, 707, 5578, 1377, 543, 945, 814, 513, 2620, 1620, 540, 519, 3014, 563, 1103, 1840, 547, 1995, 267, 621, 779, 849, 1271, 547, 1265, 513, 16455, 945, 814, 513, 2178, 3872, 4282, 538, 17075, 269, 901, 666, 1331, 6101, 2069, 267, 971, 607, 513, 4110, 538, 17075, 2359, 610, 18006, 267, 607, 1134, 607, 5571, 2069, 998, 24501, 543, 11173, 2069, 6030, 269, 589, 16455, 609, 513, 2178, 3872, 4282, 568, 811, 2693, 547, 723, 513, 2620, 1620, 540, 519, 11707, 540, 519, 18711, 267, 607, 1134, 607, 519, 2790, 543, 7580, 3344, 540, 519, 3014, 563, 5194, 1271, 28730, 547, 1413, 585, 538, 513, 17075, 16455, 568, 4730, 1995, 269, 589, 16455, 945, 814, 5129, 693, 513, 1164, 1377, 666, 1683, 3407, 4030, 543, 5796, 1759, 593, 741, 1378, 2833, 593, 519, 1576, 269, 6733, 585, 513, 16455, 945, 814, 2841, 539, 693, 519, 1908, 326, 5573, 610, 3318, 1377, 267, 610, 945, 814, 3573, 1995, 4730, 538, 4663, 23788, 543, 824, 8013, 2621, 563, 7661, 267, 621, 779, 1271, 547, 1265, 513, 17075, 16455, 945, 814, 513, 7209, 602, 8544, 1127, 1134, 609, 707, 1378, 269, 717, 6504, 568, 513, 2790, 3014, 267, 543, 513, 1434, 16455, 1058, 581, 2111, 547, 948, 596, 1020, 519, 2790, 32297, 543, 6043, 2877, 547, 8011, 593, 519, 1576, 269, 6733, 585, 513, 16455, 945, 568, 3461, 267, 11215, 267, 543, 8716, 267, 543, 945, 666, 948, 596, 3251, 5059, 543, 12592, 1256, 950, 1919, 1205, 9157, 563, 17843, 3213, 2286, 10613, 454, 3080, 6823, 14633, 4245, 616, 513, 2442, 4781, 585, 17075, 619, 3168, 547, 2087, 741, 1983, 269, 1452, 4245, 1683, 25191, 3007, 543, 16419, 6044, 1759, 593, 519, 575, 565, 2536, 779, 1808, 2115, 543, 3853, 563, 7468, 10675, 4245, 2709, 519, 10700, 538, 10531, 6044, 269, 2060, 519, 3768, 22866, 3007, 540, 519, 16455, 267, 17075, 619, 666, 960, 593, 741, 18711, 267, 8380, 267, 669, 6235, 267, 543, 824, 3344, 540, 519, 3014, 269, 17721, 4245, 616, 3335, 811, 7199, 982, 824, 18006, 2409, 267, 855, 789, 666, 581, 3810, 2500, 585, 3978, 17075, 619, 3168, 547, 1118, 4028, 9283, 563, 306, 655, 328, 17376, 10675, 4245, 4125, 513, 4130, 1895, 540, 17075, 619, 267, 3335, 1100, 811, 982, 2185, 269, 901, 3898, 2488, 513, 3666, 1063, 25191, 3007, 543, 519, 4316, 547, 1451, 689, 824, 17075, 619, 269, 12054, 328, 17376, 10675, 4245, 616, 1419, 1447, 7199, 982, 4357, 4245, 543, 666, 581, 513, 1434, 4781, 585, 17075, 619, 945, 1616, 547, 1451, 689, 1866, 1247, 1869, 8391, 10531, 6044, 563, 27026, 4245, 616, 513, 811, 1942, 15807, 4781, 585, 17075, 619, 3168, 547, 2087, 741, 1983, 269, 1452, 4245, 3335, 4125, 513, 3677, 1895, 540, 17075, 619, 543, 616, 3366, 676, 513, 16455, 945, 2488, 6044, 543, 5583, 547, 519, 3003, 1895, 563, 28058, 923, 616, 2110, 3856, 1895, 4245, 602, 1445, 593, 1808, 3344, 540, 519, 3014, 267, 971, 607, 519, 2110, 3014, 610, 8380, 269, 1452, 4245, 616, 1419, 3366, 676, 513, 16455, 610, 14357, 543, 1683, 17075, 619, 609, 606, 4316, 547, 1451, 543, 2259, 1007, 1983, 538, 513, 1895, 4259, 563, 294, 6504, 13122, 616, 3476, 3856, 1895, 4245, 602, 1683, 14021, 6044, 543, 2259, 936, 1896, 2395, 610, 4374, 269, 1452, 13122, 616, 3335, 3366, 676, 513, 2319, 540, 19393, 543, 16929, 543, 949, 1331, 593, 2275, 6847, 4730, 4245, 267, 18711, 2079, 267, 543, 6044, 593, 824, 3344, 540, 519, 3014, 269, 717, 6504, 13122, 666, 581, 513, 1390, 4781, 585, 17075, 619, 3168, 547, 1118, 1713, 9283, 538, 513, 2110, 2179, 540, 942, 563, 763, 2549, 870, 540, 5384, 10261, 539, 454, 11742, 22490, 585, 31853, 4886, 454, 268, 670, 9231, 6111, 568, 513, 4909, 5578, 538, 17075, 602, 3340, 513, 1390, 4308, 540, 942, 543, 2259, 547, 4487, 563, 268, 15043, 18644, 6111, 3322, 1565, 875, 547, 1852, 519, 3440, 779, 18330, 543, 4287, 267, 607, 1134, 607, 1620, 519, 11707, 540, 519, 17075, 18711, 563, 268, 589, 575, 565, 2536, 1590, 581, 2111, 547, 5734, 519, 3440, 9846, 543, 8308, 1369, 519, 5551, 3077, 1858, 563, 268, 901, 5578, 3335, 3217, 1896, 1296, 547, 1020, 267, 543, 1256, 4359, 17075, 619, 3136, 547, 960, 593, 5355, 741, 18644, 6111, 563, 268, 3117, 29548, 568, 1776, 1271, 2596, 5578, 538, 17075, 602, 3340, 513, 1713, 2179, 540, 942, 543, 2259, 547, 1020, 563, 268, 589, 575, 565, 2536, 1590, 581, 2111, 547, 16196, 513, 5812, 18711, 543, 3440, 10880, 267, 1256, 896, 2604, 610, 538, 4101, 2175, 563, 268, 3117, 29548, 3322, 3384, 4887, 3965, 267, 5355, 2790, 1445, 267, 543, 3384, 519, 2702, 547, 1852, 1585, 3344, 540, 519, 17075, 18711, 563, 268, 717, 6504, 619, 3335, 6108, 1296, 2324, 593, 3384, 11007, 538, 741, 23638, 543, 15833, 563, 268, 20028, 1852, 568, 513, 2565, 2596, 5578, 538, 17075, 602, 3322, 1565, 875, 547, 4188, 519, 1379, 543, 18330, 540, 519, 8929, 547, 3035, 519, 5551, 3845, 563, 268, 15043, 3845, 1852 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 10890, 543, 7067, 281, 6805, 1004, 781, 2070, 593, 1072, 543, 4915, 4976, 630, 327, 272, 264, 1577, 519, 1053, 917, 602, 789, 786, 1631, 960, 14350, 547, 2328, 606, 1557, 602, 7819, 21944, 1072, 281, 562, 8811, 326, 990, 269, 6258, 875, 547, 2328, 606, 3498, 1557, 602, 9727, 875, 707, 568, 513, 12102, 538, 519, 721, 267, 596, 1522, 1265, 713, 2243, 606, 4277, 835, 547, 1920, 2621, 610, 1565, 707, 3237, 262, 5065, 1893, 543, 2528, 476, 273, 536, 10667, 6280, 1153, 540, 4915, 6281, 3498, 1557, 4388, 476, 276, 2395, 3516, 269, 3778, 540, 4915, 1557, 910, 1603, 513, 2688, 12031, 1797, 979, 998, 10950, 547, 1353, 5065, 7819, 1686, 568, 513, 20033, 543, 4282, 6580, 540, 269, 2290, 540, 519, 1034, 13249, 2621, 538, 519, 1686, 540, 519, 8087, 2829, 267, 4122, 1634, 607, 21944, 8851, 3576, 1747, 538, 519, 5614, 540, 476, 8146, 279, 267, 950, 519, 1750, 28373, 4182, 563, 1103, 2489, 267, 713, 1557, 5713, 607, 606, 7650, 540, 930, 540, 519, 2152, 4143, 547, 713, 13974, 267, 12583, 540, 5065, 268, 26410, 4529, 543, 2038, 24067, 3346, 269, 901, 5618, 1557, 6227, 1152, 519, 8711, 540, 713, 2078, 267, 676, 6236, 930, 5065, 7819, 1148, 538, 7819, 1148, 15882, 538, 519, 2038, 14206, 2540, 519, 3141, 7544, 561, 17690, 540, 1390, 23617, 9082, 543, 519, 1390, 4915, 8868, 11783, 1977, 21944, 543, 620, 10939, 5065, 4805, 610, 538, 4999, 609, 835, 610, 811, 4915, 950, 15025, 267, 26068, 2792, 568, 1360, 1271, 21944, 2729, 281, 3594, 593, 13524, 268, 543, 1000, 523, 268, 27764, 996, 10601, 5065, 7819, 3401, 269, 21696, 2528, 2861, 7067, 543, 9716, 3646, 2066, 21944, 2197, 1665, 513, 2132, 547, 2067, 538, 835, 540, 1250, 563, 2691, 21944, 19366, 642, 573, 5984, 1775, 9807, 267, 22678, 1412, 1321, 267, 771, 550, 22931, 689, 519, 12503, 540, 21939, 267, 1352, 5337, 1243, 513, 5182, 12544, 596, 32353, 4307, 558, 945, 2063, 1032, 2968, 835, 540, 269, 5437, 568, 5065, 7819, 6561, 3923, 267, 513, 11812, 5921, 547, 2285, 7548, 5918, 2033, 562, 9332, 636, 814, 546, 13741, 1194, 538, 3388, 689, 1404, 8586, 547, 1557, 1200, 1101, 3209, 2648, 4915, 4465, 1200, 519, 3084, 1433, 13915, 5858, 8366, 538, 476, 2735, 275, 269, 4828, 676, 476, 1001, 277, 9095, 611, 807, 8284, 519, 25564, 544, 764, 1638, 320, 1496, 13839, 316, 5212, 749, 2170, 539, 2484, 811, 4749, 609, 1010, 5065, 7819, 12543, 982, 21570, 753, 267, 1010, 4484, 4951, 269, 15776, 12340, 544, 1301, 517, 3623, 14150, 281, 8350, 12340, 544, 1301, 517, 3623, 14150, 267, 5065, 7819, 10564, 543, 540, 519, 6891, 630, 1960, 277, 264, 568, 513, 4015, 540, 3594, 593, 4207, 5065, 7819, 1272, 630, 476, 3192, 278, 1070, 543, 21514, 1047, 2144, 323, 5341, 781, 2648, 4915, 630, 2735, 275, 1070, 519, 14043, 15596, 630, 2735, 277, 1070, 543, 519, 269, 594, 993, 602, 1034, 11634, 15617, 545, 540, 7068, 267, 606, 7819, 21944, 945, 568, 1312, 10564, 543, 540, 519, 695, 16120, 267, 2356, 538, 519, 1368, 1047, 540, 606, 7819, 21944, 4915, 812, 1065, 11781, 539, 689, 31352, 1774, 729, 1934, 281, 3594, 593, 4207, 5065, 7819, 4586, 1001, 276, 3594, 1354, 519, 17091, 540, 9456, 5087, 13314, 267, 5065, 22988, 1185, 513, 2189, 2511, 540, 10571, 11465, 262, 14790, 1177, 2528, 1107, 17035, 1107, 11955, 269, 901, 1557, 7710, 519, 1950, 1686, 540, 733, 337, 1882, 11147, 540, 5065, 602, 19306, 1018, 729, 13042, 607, 513, 968, 25924, 812, 892, 538, 519, 688, 5866, 21944, 8498, 540, 1547, 7111, 7819, 4915, 543, 5289, 7067, 1557, 476, 11820, 279, 1913, 476, 276, 3817, 2429, 942, 267, 18495, 814, 6414, 1836, 1044, 5275, 2081, 547, 2226, 741, 563, 17357, 1186, 540, 6602, 781, 3346, 609, 5065, 22988, 543, 1072, 267, 4915, 267, 543, 9821, 519, 967, 2103, 12423, 682, 342, 529, 543, 804, 1046, 676, 30479, 2261, 542, 678, 639, 8688, 269, 5607, 568, 513, 11782, 538, 519, 1158, 602, 568, 3638, 538, 6805, 4915, 11050, 8192, 1686, 5967, 729, 2919, 585, 519, 476, 2190, 3108, 2732, 540, 1034, 22988, 269, 7111, 7819, 4915, 543, 5289, 7067, 1557, 910, 2429, 942, 267, 18495, 814, 6414, 1836, 1044, 5275, 2081, 547, 2226, 741, 1072, 543, 547, 10826, 1547, 27259, 4915, 19486, 476, 272, 560, 538, 519, 1158, 585, 18915, 4915, 579, 322, 546, 32713, 568, 19486, 476, 277, 628, 25422, 1851, 1857, 9945, 910, 3983, 613, 609, 513, 1297, 476, 277, 563, 293, 1090, 1168, 1251, 585, 1134, 5630, 1759, 593, 4915, 8868, 10752, 602, 5784, 1072, 543, 7819, 21944, 543, 620, 10939, 5065, 2790, 1072, 1382, 10677, 15545, 5131, 3594, 689, 536, 691, 548, 2421, 1923, 2648, 4915, 2094, 519, 4098, 540, 17091, 540, 13314, 267, 972, 814, 1044, 519, 1966, 540, 7231, 609, 519, 6805, 1004, 540, 269, 6925, 568, 519, 2257, 543, 2259, 540, 519, 5868, 267, 2126, 267, 543, 6604, 540, 2068, 538, 5087, 13314, 267, 12665, 538, 4835, 4915, 616, 4122, 1572, 2028, 1235, 4362, 689, 3504, 26131, 1014, 4915, 267, 3777, 14125, 1014, 4915, 267, 32318, 20940, 545, 4915, 630, 514, 519, 21944, 1016, 29657, 1070, 8106, 24349, 4915, 269, 5518, 795, 11055, 543, 4622, 10412, 1500, 6805, 22988, 3802, 519, 13009, 835, 721, 4013, 11130, 602, 4915, 1058, 581, 9783, 607, 513, 563, 27246, 540, 8305, 19685, 7819, 967, 2103, 543, 2638, 952, 1346, 11475, 616, 3020, 610, 7301, 621, 568, 1271, 711, 547, 25657, 4915, 2367, 609, 12611, 338, 630, 21865, 269, 31687, 520, 25778, 2471, 616, 4122, 1031, 538, 1034, 5065, 7819, 4529, 607, 1134, 607, 1866, 1082, 1004, 945, 7119, 538, 17570, 561, 17690, 18428, 798, 865, 585, 1585, 1547, 769, 1250, 2063, 2376, 267, 1775, 5206, 540, 519, 5065, 7819, 5289, 2619, 540, 519, 10723, 24116, 607, 519, 524, 872, 4915, 4807, 3081, 538, 519, 1650, 267, 8184, 540, 519, 18749, 7599, 11783, 0, 2080, 616, 476, 277, 5013, 689, 1686, 4352, 2564, 17089, 568, 10363, 538, 1082, 2694, 540, 519, 1158, 267, 15267, 729, 1031, 607, 513, 18915, 4915, 538, 3504, 575, 872, 576, 269, 1656, 835, 21017, 540, 3656, 1436, 18793, 1767, 972, 1058, 581, 1100, 9993, 585, 519, 1101, 942, 538, 1686, 789, 666, 1152, 3390, 269, 7991, 1514, 3390, 1107, 3656, 1436, 540, 15267, 538, 6530, 543, 13998, 568, 519, 3390, 540, 5061, 267, 3075, 946, 267, 8213, 267, 543, 3656, 1436, 563, 21357, 17089, 281, 513, 4567, 1867, 14247, 742, 9445, 513, 544, 1241, 3296, 13797, 2488, 513, 5618, 1686, 540, 519, 946, 540, 606, 18840, 1670, 543, 3140, 2272, 540, 15267, 538, 269, 6258, 811, 827, 519, 1686, 267, 2360, 267, 543, 1850, 1275, 540, 17089, 15267, 267, 610, 17089, 267, 476, 1960, 271, 338, 3366, 547, 519, 3656, 1436, 540, 16392, 17089, 538, 811, 269, 4112, 2803, 519, 15784, 4478, 519, 3656, 1436, 540, 17089, 267, 7234, 519, 1686, 540, 519, 2030, 267, 922, 2564, 3096, 267, 1699, 4031, 267, 543, 519, 2804, 1764, 540, 269, 13751, 1436, 540, 15267, 538, 11067, 2023, 8159, 4093, 1808, 547, 16351, 15267, 3656, 1436, 786, 581, 8313, 1686, 3390, 2228, 281, 563, 17764, 1470, 3954, 625, 3656, 1436, 543, 824, 2164, 689, 9550, 1554, 19315, 1470, 20366, 1524, 3390, 476, 274, 267, 15267, 3656, 1436, 538, 513, 2101, 513, 5618, 1686, 540, 887, 327, 4599, 12329, 269, 6764, 8529, 6117, 4031, 23503, 607, 15267, 3656, 1436, 15176, 6117, 4031, 949, 581, 606, 3390, 585, 972, 814, 1044, 513, 1686, 540, 13389, 269, 13405, 547, 922, 3656, 1436, 267, 2528, 540, 1272, 5748, 3390, 5618, 338, 6915, 996, 923, 3656, 1436, 540, 17089, 281, 2528, 540, 1272, 5748, 1093, 4216, 476, 17168, 277, 4391, 269, 2060, 6845, 2209, 6367, 532, 547, 519, 786, 540, 519, 11221, 2777, 540, 862, 976, 593, 602, 3390, 267, 676, 1053, 540, 1686, 607, 513, 26124, 15267, 3656, 1436, 543, 563, 2026, 513, 6197, 8313, 267, 546, 2100, 12139, 568, 6131, 547, 2870, 3483, 995, 267, 4143, 7391, 950, 649, 9102, 938, 22305, 1116, 3390, 538, 476, 1001, 272, 649, 17479, 269, 13159, 1158, 1686, 540, 17089, 15267, 3461, 713, 6383, 1158, 17253, 2923, 3007, 543, 513, 3978, 4901, 936, 519, 3656, 1436, 540, 17089, 269, 17959, 281, 1699, 2621, 538, 3140, 5133, 538, 1142, 3390, 540, 8129, 267, 606, 4081, 4274, 786, 5659, 513, 1880, 1699, 3390, 1107, 2797, 267, 2686, 267, 610, 269, 1548, 519, 1686, 540, 5061, 666, 4001, 721, 827, 519, 1699, 15267, 3656, 1436, 1184, 281, 4652, 31944, 1870, 269, 5463, 17964, 1436, 8957, 3656, 1436, 540, 17089, 17089, 18678, 5480, 2665, 543, 875, 2104, 2665, 1223, 1764, 519, 3390, 513, 2110, 1686, 540, 519, 476, 736, 628, 563, 32207, 331, 781, 5692, 568, 547, 1847, 1857, 6644, 18481, 547, 3656, 1125, 519, 3743, 946, 540, 17089, 676, 4079, 267, 543, 547, 4196, 607, 606, 12167, 585, 6800, 547, 26924, 269, 2755, 2564, 15267, 814, 1044, 3656, 2094, 476, 1220, 272, 713, 4564, 519, 1101, 942, 538, 2487, 1686, 602, 16351, 15267, 15267, 3656, 1436, 3390, 540, 269, 3778, 519, 8129, 540, 15267, 519, 1888, 540, 3656, 1944, 17089, 585, 2564, 946, 568, 513, 11786, 3390, 2094, 519, 9354, 3601, 540, 17089, 616, 563, 22033, 593, 2564, 17089, 267, 2564, 17089, 4031, 267, 543, 2564, 17089, 1382, 269, 634, 1957, 540, 2594, 568, 11173, 547, 1118, 519, 2013, 585, 3656, 1436, 936, 22457, 1686, 543, 24906, 2200, 689, 15267, 513, 1857, 1072, 3390, 476, 277, 15267, 269, 634, 1686, 540, 16392, 15267, 15267, 585, 6775, 2504, 693, 3609, 6521, 602, 3075, 6963, 15156, 4612, 607, 519, 1101, 1900, 4724, 3656, 1436, 540, 269, 769, 713, 3390, 540, 795, 4821, 4835, 4915, 267, 536, 2784, 5112, 1696, 620, 476, 273, 543, 530, 523, 543, 554, 1442, 523, 9440, 476, 274, 1867, 2164, 11021, 602, 15267, 3656, 1436, 949, 1404, 513, 1686, 540, 269, 0, 300, 990, 773, 2140, 1557, 16643, 454, 288, 11985, 11239, 9238, 3040, 1620, 519, 17950, 540, 16643, 14327, 267, 1519, 281, 3040, 31194, 519, 1101, 2262, 538, 519, 2140, 543, 5705, 1856, 11783, 1977, 5626, 7681, 630, 23981, 264, 16643, 2511, 8261, 476, 277, 628, 7160, 2656, 4704, 1603, 16654, 25156, 30065, 518, 6280, 15292, 476, 272, 267, 476, 1001, 271, 3349, 540, 9115, 269, 661, 16643, 476, 272, 3898, 476, 273, 2870, 513, 8100, 1592, 476, 274, 1455, 8100, 1592, 13366, 476, 275, 538, 17856, 14327, 476, 276, 11249, 10643, 540, 5931, 535, 669, 8522, 17488, 1210, 2959, 269, 25737, 519, 3381, 538, 17856, 899, 596, 1131, 585, 1022, 824, 4704, 946, 519, 2012, 540, 519, 7260, 543, 519, 1032, 13712, 519, 4670, 538, 1557, 676, 519, 2140, 540, 16643, 4704, 563, 288, 11985, 11239, 2511, 4808, 512, 2140, 2985, 16643, 2511, 3340, 513, 476, 29848, 24369, 16643, 11239, 2511, 4808, 1570, 16643, 538, 17856, 14327, 2154, 519, 269, 2986, 1576, 267, 513, 2347, 13849, 20400, 1131, 1331, 513, 2140, 2985, 267, 606, 7493, 2985, 267, 543, 865, 8521, 264, 1957, 9862, 689, 968, 1492, 11739, 4177, 1198, 538, 30373, 15545, 589, 3391, 547, 948, 3755, 1711, 14327, 1210, 16643, 630, 26410, 5626, 7681, 264, 2511, 267, 476, 277, 628, 7160, 563, 296, 6415, 1603, 606, 16643, 2511, 1957, 585, 1250, 1362, 621, 781, 827, 519, 7260, 476, 279, 13304, 267, 543, 1775, 991, 547, 917, 875, 547, 2328, 1412, 279, 13304, 262, 538, 519, 1957, 1131, 1775, 269, 5192, 16643, 1557, 948, 593, 16643, 1557, 3898, 543, 16643, 2511, 585, 16643, 2852, 1557, 3898, 3651, 19282, 906, 2689, 1806, 543, 2307, 2055, 2228, 269, 17912, 1107, 5163, 4605, 513, 7260, 875, 547, 13712, 513, 4670, 8276, 990, 773, 2497, 281, 2140, 546, 597, 1101, 544, 2063, 13526, 1101, 544, 2063, 2733, 12460, 267, 1032, 3370, 2923, 1826, 269, 1452, 1331, 1433, 610, 7260, 713, 15007, 540, 1519, 519, 3621, 2012, 538, 519, 1957, 779, 2140, 568, 711, 606, 16643, 2511, 1832, 519, 24495, 923, 543, 3854, 1436, 563, 16240, 513, 7260, 2689, 1557, 1376, 707, 960, 609, 513, 2140, 602, 6920, 519, 2012, 540, 519, 4670, 610, 17245, 596, 20053, 547, 2689, 16643, 2511, 1957, 269, 476, 1015, 2328, 513, 2140, 602, 568, 513, 9114, 827, 519, 1557, 476, 1704, 1589, 540, 513, 5432, 6031, 267, 610, 519, 2140, 540, 513, 1433, 267, 5152, 267, 610, 7260, 267, 602, 1522, 3514, 707, 1557, 476, 1240, 269, 1403, 596, 14478, 8732, 629, 331, 4545, 320, 538, 513, 7260, 14364, 267, 3126, 2140 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1607, 1433, 8942, 547, 14458, 519, 4305, 540, 735, 2391, 609, 519, 6042, 538, 476, 3066, 595, 15709, 476, 4572, 277, 269, 1452, 3106, 6042, 786, 581, 4843, 538, 513, 1875, 14482, 1013, 673, 1259, 269, 4112, 534, 725, 786, 1331, 519, 4170, 540, 1142, 7939, 543, 4363, 2081, 547, 6445, 873, 269, 3962, 21044, 3106, 1858, 734, 1721, 1383, 4070, 10898, 267, 5945, 6604, 267, 543, 1620, 519, 27706, 8881, 543, 2657, 2920, 734, 15884, 849, 1331, 2866, 4441, 543, 7840, 585, 4070, 9946, 269, 634, 1433, 786, 5031, 519, 1034, 7928, 3123, 540, 4070, 9036, 7063, 543, 10913, 543, 2626, 2055, 827, 799, 4031, 543, 6042, 596, 616, 2838, 547, 1246, 693, 707, 4070, 3135, 563, 1607, 1433, 666, 581, 1336, 538, 670, 4488, 6347, 7732, 912, 30999, 1575, 1049, 8881, 543, 2657, 22217, 1881, 585, 519, 14716, 12752, 454, 30025, 23941, 3194, 6828, 454, 8025, 476, 4510, 274, 1547, 294, 6924, 476, 1220, 278, 0, 2108, 305, 659, 1143, 568, 851, 540, 938, 18472, 607, 4892, 269, 5272, 2749, 267, 1169, 1533, 543, 1169, 3148, 540, 713, 2197, 814, 922, 1378, 2620, 1686, 609, 10168, 269, 1656, 865, 1281, 519, 4074, 3350, 3034, 1700, 32178, 2558, 636, 6390, 267, 20029, 269, 476, 1428, 267, 476, 1001, 275, 267, 16713, 589, 14566, 4211, 22473, 13482, 454, 25567, 320, 779, 16672, 540, 14412, 31234, 602, 968, 718, 2367, 616, 2813, 3160, 892, 543, 968, 7474, 789, 616, 1439, 15735, 676, 741, 29763, 609, 1978, 796, 531, 1329, 762, 7126, 2507, 16908, 267, 23068, 543, 519, 13287, 540, 19732, 1465, 1848, 8616, 938, 15713, 18971, 267, 930, 540, 7247, 941, 10553, 268, 14935, 267, 11368, 8474, 883, 938, 2797, 5238, 543, 29846, 621, 585, 3592, 513, 2540, 269, 1656, 1310, 5198, 2861, 8474, 729, 6368, 7979, 31090, 267, 513, 1007, 5108, 540, 2797, 31794, 4847, 513, 1007, 5198, 2861, 1062, 540, 1071, 518, 1027, 4074, 547, 1831, 1876, 543, 2611, 538, 1747, 585, 1776, 4627, 269, 634, 9371, 540, 14882, 602, 729, 3812, 543, 18674, 676, 8474, 543, 13343, 18844, 5170, 547, 3337, 1977, 2797, 5238, 543, 3206, 538, 7096, 2081, 563, 21953, 2429, 938, 1686, 267, 8723, 2021, 543, 2367, 10692, 543, 5747, 585, 513, 7292, 569, 8537, 5075, 540, 2804, 5126, 269, 589, 2513, 819, 1235, 267, 19135, 4600, 267, 5721, 11188, 1562, 267, 12928, 2074, 540, 8534, 267, 4557, 656, 6705, 267, 19379, 267, 10081, 4600, 543, 19455, 4600, 5030, 741, 7029, 547, 7292, 7862, 543, 8678, 1927, 547, 3747, 513, 1732, 267, 811, 1175, 3013, 563, 3682, 326, 4809, 5198, 3401, 899, 12049, 4459, 30463, 267, 654, 9950, 11065, 269, 14878, 12251, 267, 589, 269, 17722, 11969, 20462, 543, 4860, 269, 3220, 269, 9410, 13162, 3751, 12789, 269, 4718, 18787, 607, 1898, 547, 519, 2702, 540, 3109, 4600, 547, 4473, 543, 3035, 7862, 269, 1656, 11636, 4074, 3401, 899, 3627, 11066, 543, 19124, 1234, 9801, 6785, 519, 4074, 3350, 1223, 711, 581, 2898, 1510, 519, 7589, 540, 3109, 4600, 563, 13828, 9769, 543, 3540, 2924, 15628, 6956, 602, 4074, 2924, 616, 1480, 2924, 267, 543, 602, 547, 1526, 1778, 513, 1268, 779, 15698, 23121, 3442, 835, 779, 960, 267, 547, 7118, 2614, 547, 1489, 513, 1920, 267, 547, 19533, 267, 547, 2951, 28934, 513, 20982, 957, 540, 28170, 542, 269, 901, 2186, 540, 5208, 568, 4443, 585, 519, 8418, 591, 547, 7787, 1125, 952, 519, 20665, 568, 9763, 607, 1447, 982, 1480, 563, 763, 1650, 540, 5198, 543, 4074, 538, 3013, 6238, 609, 519, 2126, 540, 3109, 4600, 538, 519, 3162, 269, 2334, 3148, 779, 2686, 10072, 689, 267, 855, 11173, 2797, 543, 2804, 3310, 593, 519, 1964, 540, 519, 2197, 5170, 547, 713, 1554, 269, 1879, 3979, 4892, 6410, 5087, 538, 519, 476, 736, 628, 2540, 936, 519, 1576, 540, 1079, 1158, 10617, 543, 519, 4279, 12870, 267, 789, 1336, 811, 2123, 5191, 28559, 789, 849, 1336, 5571, 7130, 543, 21376, 1569, 547, 2804, 3255, 269, 769, 519, 5756, 1063, 519, 1079, 10617, 267, 1870, 4690, 22393, 1031, 5198, 543, 6803, 3604, 547, 24183, 4074, 9322, 269, 2368, 18787, 15527, 676, 8508, 5610, 282, 1866, 5706, 539, 563, 10214, 1310, 3540, 2924, 9086, 6368, 1500, 7292, 7130, 10363, 538, 519, 476, 3422, 271, 338, 267, 15061, 14761, 1031, 7292, 11475, 543, 3043, 4250, 543, 32370, 547, 7941, 2324, 1004, 269, 1358, 3136, 547, 798, 865, 2221, 269, 634, 4074, 3350, 666, 543, 1590, 581, 693, 519, 21282, 540, 3646, 547, 7903, 1394, 1996, 519, 6214, 540, 6498, 269, 1284, 28297, 621, 547, 938, 2818, 267, 938, 1453, 543, 938, 2197, 563, 9824, 8271, 2038, 538, 7810, 3013, 267, 8828, 2244, 14935, 6444, 602, 789, 1223, 11694, 741, 12434, 676, 1210, 3979, 10437, 547, 960, 741, 2244, 267, 543, 513, 1560, 540, 1876, 729, 8045, 547, 7787, 1125, 8628, 5198, 2861, 17760, 29713, 269, 3683, 519, 1296, 267, 1310, 1169, 1483, 610, 16545, 10553, 32574, 267, 891, 4031, 941, 1500, 554, 1513, 615, 267, 543, 3109, 4600, 941, 2417, 588, 25634, 1242, 543, 632, 16058, 1242, 269, 32013, 15141, 687, 941, 32049, 547, 519, 2797, 8128, 267, 711, 1152, 1317, 540, 2168, 8594, 789, 6719, 547, 513, 12102, 3043, 16918, 267, 855, 1317, 789, 6534, 519, 5208, 2838, 547, 2226, 8474, 607, 513, 1062, 563, 2005, 3576, 3592, 835, 4627, 1296, 540, 989, 2787, 267, 4187, 267, 2797, 12180, 543, 519, 1973, 5006, 2112, 540, 938, 4182, 779, 1686, 547, 1439, 602, 968, 2865, 15116, 9872, 1848, 1809, 519, 14710, 540, 519, 28583, 2329, 1705, 711, 18385, 6861, 519, 1379, 540, 7013, 2244, 14935, 610, 741, 16809, 540, 7292, 27166, 563, 2691, 519, 6406, 2782, 8694, 267, 20752, 10492, 8120, 547, 741, 24914, 543, 5612, 3964, 968, 18872, 9479, 892, 602, 3908, 513, 3109, 1268, 779, 1318, 547, 3180, 3959, 267, 4001, 267, 840, 778, 610, 2951, 269, 769, 824, 1913, 267, 519, 1007, 4031, 2879, 520, 3481, 1394, 519, 15698, 540, 9241, 15685, 10437, 267, 543, 27052, 1346, 945, 15189, 547, 18846, 269, 23897, 1343, 540, 15685, 1004, 945, 6836, 547, 4734, 24914, 610, 15189, 547, 960, 693, 519, 2474, 6035, 941, 23689, 538, 519, 1101, 1296, 1310, 31414, 563, 763, 968, 3725, 18586, 892, 540, 519, 3162, 1152, 3459, 950, 5313, 10136, 13026, 5449, 20752, 2829, 538, 476, 5908, 278, 543, 18796, 5449, 1476, 25005, 919, 32410, 14017, 547, 519, 9769, 610, 6336, 741, 2797, 2924, 269, 2060, 519, 4027, 540, 5313, 10136, 543, 519, 948, 540, 519, 6154, 539, 2006, 779, 13163, 267, 3109, 15685, 5443, 20366, 543, 15548, 538, 2229, 585, 519, 1101, 942, 269, 769, 741, 1101, 4603, 609, 1582, 3766, 17922, 267, 789, 3964, 1857, 3506, 267, 3964, 5351, 7239, 267, 32206, 9897, 543, 6659, 9204, 547, 2628, 585, 621, 269, 16874, 519, 7471, 1533, 9777, 2137, 789, 20366, 538, 1044, 4847, 547, 3136, 267, 930, 540, 938, 1034, 11636, 1514, 543, 4074, 9086, 1522, 723, 2097, 689, 519, 3162, 269, 1809, 1310, 519, 1480, 543, 2883, 1942, 540, 519, 6406, 2782, 267, 519, 5313, 2229, 729, 8572, 610, 31464, 547, 1832, 2614, 5313, 10136, 538, 519, 3162, 547, 16401, 3043, 593, 3109, 5208, 269, 1306, 16543, 4465, 1394, 741, 13359, 2924, 543, 26793, 3109, 13359, 267, 6837, 1308, 1489, 585, 25608, 695, 17213, 269, 2991, 476, 1015, 1296, 267, 6837, 20366, 547, 11198, 10136, 689, 519, 3148, 543, 1577, 519, 2025, 22634, 1062, 15260, 1068, 3294, 563, 763, 1544, 614, 1362, 3964, 513, 1007, 1062, 540, 2671, 23145, 6137, 543, 7963, 890, 517, 720, 630, 3724, 539, 909, 676, 519, 1360, 1483, 3463, 540, 519, 5832, 14228, 264, 547, 1832, 3109, 4600, 593, 519, 2244, 269, 13343, 18844, 4031, 16798, 1514, 543, 2168, 17478, 689, 16543, 543, 15286, 1034, 3109, 1004, 689, 16565, 513, 22510, 2069, 267, 12721, 585, 6009, 267, 610, 2679, 5763, 269, 22118, 4221, 2968, 513, 1907, 540, 1514, 1852, 543, 2804, 28735, 267, 838, 10884, 1282, 519, 4005, 3959, 5411, 543, 2671, 23145, 13827, 12306, 6589, 269, 1635, 476, 4489, 271, 267, 519, 3162, 2899, 1586, 1185, 1831, 513, 3532, 15061, 13359, 1025, 665, 538, 6837, 267, 835, 602, 9846, 17808, 4074, 2924, 543, 1514, 15024, 563, 26581, 7434, 1436, 543, 1133, 687, 454, 1103, 519, 1964, 540, 519, 2197, 267, 519, 6406, 2782, 4346, 2799, 519, 10605, 540, 22713, 543, 25793, 14414, 513, 1007, 6891, 540, 11601, 543, 13250, 269, 7201, 796, 29970, 16851, 267, 519, 678, 3578, 1652, 556, 9464, 519, 6574, 12587, 269, 31257, 267, 966, 6387, 321, 2830, 267, 21546, 543, 18842, 651, 325, 11839, 30049, 1242, 2898, 6080, 1765, 4614, 601, 267, 16456, 338, 267, 8804, 543, 3282, 269, 1358, 3710, 1804, 4853, 1568, 602, 6603, 2066, 519, 11782, 269, 4635, 3196, 267, 12611, 543, 796, 2675, 14442, 592, 748, 1870, 2853, 267, 789, 16760, 15712, 269, 1358, 1287, 2458, 24231, 609, 1142, 824, 547, 1852, 519, 3790, 540, 2504, 543, 519, 5777, 9901, 547, 6800, 269, 7046, 569, 9140, 14761, 547, 2327, 789, 1223, 2328, 519, 2804, 3652, 543, 10518, 519, 16064, 538, 741, 3870, 267, 789, 19017, 796, 19960, 514, 762, 5763, 269, 1656, 789, 1287, 10692, 18979, 569, 547, 1832, 621, 563, 1103, 519, 2034, 3368, 540, 519, 476, 866, 628, 2540, 267, 11082, 689, 8581, 267, 7977, 543, 8109, 2342, 22125, 883, 512, 2940, 906, 538, 11785, 267, 9628, 267, 1715, 3840, 543, 15740, 1247, 4457, 11082, 941, 1200, 4765, 883, 968, 2419, 514, 520, 12495, 892, 538, 5842, 12770, 269, 8056, 580, 7847, 941, 931, 11220, 547, 1804, 267, 5906, 15327, 267, 543, 6976, 13848, 602, 11385, 730, 609, 2834, 12424, 687, 267, 1818, 873, 22691, 585, 9769, 12180, 543, 782, 6073, 540, 9097, 2093, 899, 513, 476, 2412, 16923, 960, 3018, 543, 8375, 13848, 563, 763, 1007, 6080, 267, 3677, 15327, 543, 16437, 518, 2551, 7740, 2813, 15417, 2666, 585, 4028, 9769, 2208, 269, 589, 3152, 5834, 540, 9952, 4600, 538, 835, 1747, 4847, 2757, 4739, 18787, 547, 1332, 267, 543, 1804, 15327, 2322, 2789, 23194, 896, 835, 8122, 267, 7393, 519, 1761, 585, 10480, 23306, 3889, 899, 519, 835, 602, 1131, 1831, 519, 1977, 18966, 540, 8534, 269, 634, 9952, 23194, 1869, 941, 11566, 569, 5065, 23899, 3043, 17557, 9038, 538, 519, 476, 866, 628, 2540, 282, 543, 1317, 789, 12236, 5266, 2362, 13848, 267, 789, 941, 2111, 547, 2628, 546, 1132, 585, 10880, 7482, 267, 7210, 2628, 267, 13864, 6351, 543, 19746, 6142, 269, 1358, 941, 26997, 547, 10891, 5667, 330, 2683, 9721, 543, 7969, 7826, 11082, 563, 8448, 18787, 1705, 865, 9020, 16484, 269, 634, 12928, 2074, 540, 8534, 267, 8547, 538, 476, 5908, 280, 267, 4941, 547, 10891, 782, 4600, 1765, 12921, 2683, 543, 5667, 330, 2683, 267, 2367, 543, 2021, 267, 3043, 543, 3109, 1765, 5976, 514, 606, 2872, 269, 1358, 6026, 11082, 741, 2924, 607, 4961, 267, 3710, 24625, 2510, 267, 3177, 2804, 2069, 543, 15469, 2797, 6963, 269, 589, 16456, 10880, 519, 12928, 2074, 540, 8534, 6896, 2968, 513, 7432, 1448, 538, 4853, 4655, 563, 288, 12928, 2074, 685, 3552, 13906, 10880, 538, 476, 6942, 278, 5555, 17947, 476, 1911, 267, 1822, 4600, 267, 855, 8694, 538, 27632, 1824, 267, 3959, 3441, 543, 1533, 17740, 807, 543, 5313, 10136, 1373, 1572, 856, 538, 5722, 2829, 269, 2991, 519, 29016, 17740, 807, 17991, 883, 513, 15624, 543, 7166, 1896, 1004, 267, 4600, 1427, 531, 7007, 676, 21006, 476, 4375, 5656, 267, 476, 10441, 21525, 582, 1161, 543, 476, 272, 267, 25090, 5721, 6517, 269, 2311, 519, 10880, 779, 1439, 267, 476, 1911, 547, 476, 1220, 1004, 941, 4666, 543, 1082, 7366, 811, 941, 13676, 610, 29802, 563, 6524, 713, 2680, 267, 4174, 24329, 10355, 5185, 811, 982, 1769, 22717, 543, 5618, 21569, 2474, 269, 1809, 4853, 1235, 941, 3352, 622, 693, 519, 9552, 540, 741, 3959, 269, 1358, 556, 23457, 1533, 17740, 5362, 267, 3710, 2199, 6186, 1559, 267, 2919, 13218, 609, 519, 7952, 543, 3710, 741, 1378, 4357, 3354, 4229, 267, 2347, 609, 838, 625, 543, 10880, 3691, 5474, 269, 901, 6825, 519, 4098, 540, 513, 1360, 10795, 4339, 936, 519, 1318, 540, 4600, 547, 513, 9769, 543, 547, 3747, 2362, 13848, 543, 10156, 960, 2395, 563, 1103, 519, 2063, 1079, 5756, 540, 519, 476, 866, 628, 2540, 267, 811, 982, 3670, 2929, 4600, 941, 3238, 538, 476, 2537, 267, 1822, 16716, 269, 631, 4106, 807, 267, 7128, 267, 5313, 10136, 543, 25968, 30639, 3713, 1161, 1419, 10726, 543, 8929, 4174, 24329, 267, 945 ]

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

[ 4804, 22580, 20157, 4115, 267, 6762, 1633, 7732, 454, 22897, 17158, 338, 1169, 2460, 540, 7172, 12579, 1222, 267, 865, 621, 568, 1271, 547, 1832, 909, 609, 1007, 2029, 2645, 543, 1265, 2081, 547, 946, 873, 547, 2087, 2533, 543, 1732, 948, 29123, 269, 901, 3946, 6823, 267, 7317, 26608, 12401, 786, 4001, 3670, 547, 5216, 2029, 2645, 538, 1469, 543, 1397, 28752, 519, 2200, 547, 1265, 856, 827, 476, 2004, 1863, 2029, 2645, 602, 666, 581, 1031, 538, 782, 8021, 269, 1703, 786, 581, 7899, 540, 942, 585, 3408, 540, 519, 2645, 267, 865, 5225, 15760, 7495, 256, 1411, 949, 849, 1616, 547, 3142, 30069, 610, 1274, 321, 644, 338, 563, 299, 7637, 17659, 2917, 568, 513, 5398, 7896, 20157, 4115, 693, 519, 2160, 540, 3162, 10491, 5455, 8063, 7732, 269, 4173, 3318, 4690, 1331, 14292, 1374, 267, 3872, 2029, 267, 543, 1344, 7924, 585, 782, 6502, 563, 17954, 22828, 918, 15077, 577, 568, 513, 5398, 7896, 20157, 4115, 693, 519, 2160, 540, 3162, 10491, 5455, 8063, 7732, 269, 2701, 568, 519, 18509, 13541, 540, 24021, 16370, 693, 5455, 8063, 543, 519, 13653, 543, 1699, 3213, 16644, 1515, 540, 700, 3951, 288, 779, 10794, 10435, 9314, 6828, 563, 297, 517, 11936, 918, 15077, 577, 568, 519, 10361, 20157, 4115, 693, 519, 623, 659, 1961, 339, 7732, 25032, 540, 519, 1975, 691, 534, 7921, 6019, 5398, 23905, 269, 3571, 3318, 4690, 1331, 6932, 2029, 267, 3059, 10070, 267, 552, 268, 9248, 267, 13629, 267, 543, 5752, 585, 8021, 563, 305, 617, 30473, 568, 513, 20157, 4115, 693, 6762, 1633, 7732, 267, 12052, 3162, 10491, 269, 5303, 814, 2141, 1044, 693, 519, 21282, 540, 1022, 540, 1010, 5399, 1644, 18129, 563, 24171, 700, 728, 568, 519, 4804, 22580, 20157, 4115, 693, 6762, 1633, 7732, 267, 12052, 3162, 10491, 269, 1261, 2337, 547, 17362, 513, 6252, 2619, 540, 1565, 585, 2146, 2818, 543, 9164, 563, 763, 1977, 7732, 5948, 630, 3201, 288, 264, 8678, 519, 16452, 25260, 19137, 538, 22745, 968, 8967, 1046, 2223, 606, 5216, 12268, 3381, 3126, 2919, 547, 1489, 543, 3391, 1101, 6066, 15156, 945, 616, 5461, 538, 14957, 693, 519, 5313, 1377, 585, 2152, 602, 2339, 547, 873, 269, 634, 3126, 267, 6098, 547, 13588, 9907, 476, 1724, 1700, 2420, 267, 786, 581, 18799, 593, 519, 13334, 2985, 540, 519, 16452, 25260, 19137, 267, 1247, 7172, 12579, 543, 7855, 616, 9415, 547, 946, 519, 7044, 547, 4497, 1762, 1004, 610, 1101, 942, 15156, 269, 634, 3381, 3126, 729, 9250, 2221, 1282, 519, 476, 5655, 526, 5993, 2817, 7732, 22694, 894, 4303, 538, 6115, 267, 667, 5861, 563, 763, 3381, 3126, 2488, 5885, 1344, 585, 538, 23024, 27624, 29065, 15156, 267, 8720, 3388, 689, 4259, 909, 538, 16512, 9777, 1807, 11401, 547, 519, 1184, 540, 14335, 513, 5859, 269, 1635, 8840, 1524, 540, 339, 10784, 574, 573, 908, 968, 1231, 728, 519, 25028, 3118, 892, 1893, 267, 27910, 2488, 606, 3015, 1305, 540, 2645, 602, 666, 19334, 543, 18663, 1762, 15156, 585, 519, 1964, 540, 741, 2729, 269, 634, 3381, 3126, 849, 2882, 1344, 593, 1603, 2046, 13847, 267, 588, 1645, 1514, 2923, 11044, 267, 1210, 5399, 2200, 585, 1382, 610, 8066, 2621, 267, 543, 1655, 2853, 585, 32296, 11221, 8387, 563, 14071, 616, 20938, 547, 10131, 27910, 267, 513, 3126, 540, 7317, 14223, 7044, 269, 1284, 4126, 602, 1762, 610, 1007, 15156, 786, 581, 6273, 547, 1376, 741, 1378, 11044, 267, 543, 602, 7172, 12579, 543, 7855, 786, 581, 2111, 547, 946, 519, 3126, 547, 4497, 1762, 1004, 543, 1205, 873, 3238, 538, 14223, 3646, 1848, 1767, 14667, 2701, 8208, 4752, 267, 10324, 8689, 540, 519, 1977, 7732, 5948, 779, 6115, 8433, 563, 13202, 2801, 29928, 267, 30667, 10615, 585, 519, 16452, 25260, 19137, 267, 3773, 267, 968, 296, 4076, 5249, 609, 6107, 585, 513, 1082, 1296, 1631, 267, 543, 594, 4076, 2760, 1558, 513, 1762, 1268, 945, 1175, 2731, 4769, 1406, 1616, 547, 1205, 3238, 1107, 789, 1175, 14201, 1406, 2386, 875, 256, 594, 1589, 713, 568, 3020, 585, 4079, 945, 723, 2760, 1044, 3238, 538, 18523, 6278, 1354, 267, 1932, 269, 594, 4126, 602, 27910, 786, 581, 513, 4199, 547, 1004, 945, 723, 4862, 513, 2603, 827, 3478, 7722, 538, 519, 2797, 1184, 855, 723, 2760, 1044, 2386, 1141, 547, 1376, 267, 543, 23248, 1765, 323, 732, 594, 2161, 1765, 4944, 1046, 930, 1007, 2093, 543, 2962, 563, 1607, 2022, 786, 2119, 543, 7485, 1927, 930, 540, 519, 1239, 689, 519, 1114, 4610, 7396, 1657, 543, 1459, 873, 538, 513, 1259, 602, 649, 786, 23248, 581, 2111, 547, 946, 547, 17589, 930, 2495, 689, 563, 5415, 13517, 20099, 17564, 454, 1103, 519, 3105, 9708, 594, 4076, 5097, 5059, 593, 519, 3259, 540, 519, 6609, 4610, 269, 1703, 616, 1079, 824, 4610, 602, 594, 4076, 4994, 539, 602, 616, 1644, 547, 519, 3259, 540, 519, 6609, 4610, 269, 1452, 1079, 4610, 1331, 519, 1297, 540, 21797, 538, 513, 6609, 543, 519, 3328, 18351, 3259, 540, 4610, 563, 296, 4076, 3769, 1346, 2418, 2630, 269, 594, 4076, 3769, 1079, 1611, 2418, 267, 835, 585, 782, 540, 519, 11673, 538, 519, 10471, 630, 1704, 267, 6434, 275, 267, 280, 5379, 11673, 264, 543, 538, 519, 824, 519, 11673, 602, 616, 476, 272, 1915, 538, 3259, 610, 811, 630, 1724, 267, 6507, 272, 267, 10755, 9188, 18587, 1916, 13614, 1107, 11192, 454, 13614, 1107, 476, 272, 266, 3259, 454, 763, 11708, 2630, 616, 1759, 593, 519, 2338, 540, 1175, 11673, 602, 616, 476, 272, 266, 3259, 610, 811, 563, 1607, 1101, 3113, 568, 1373, 32419, 689, 513, 3105, 2022, 602, 2982, 519, 3328, 3259, 540, 6609, 676, 3038, 3187, 26260, 889, 269, 6424, 681, 636, 8124, 543, 519, 5192, 1399, 616, 519, 1079, 602, 3328, 936, 476, 7742, 3197, 829, 6609, 563, 30182, 13517, 20099, 676, 16735, 454, 2005, 12582, 1406, 9983, 596, 602, 6424, 10548, 8124, 543, 5192, 614, 616, 1079, 540, 519, 3038, 11107, 26260, 889, 338, 602, 723, 519, 5207, 3328, 18351, 12523, 267, 609, 3476, 11673, 3622, 2870, 811, 21797, 269, 1703, 616, 513, 1906, 3604, 602, 1810, 1406, 6474, 713, 1498, 267, 2475, 290, 602, 814, 606, 3328, 540, 1175, 936, 476, 2004, 3197, 585, 519, 3328, 6609, 3259, 2501, 538, 607, 519, 3791, 5207, 538, 519, 3328, 18351, 12523, 693, 936, 476, 2412, 21797, 829, 6609, 269, 1703, 616, 513, 1906, 824, 7426, 10774, 889, 338, 602, 1413, 513, 3787, 1114, 982, 741, 3328, 6609, 3259, 563, 30182, 570, 7505, 4032, 676, 3038, 3187, 454, 19350, 568, 513, 3113, 540, 519, 3328, 18351, 13080, 676, 7426, 269, 634, 2539, 519, 1297, 568, 519, 2539, 3328, 3259, 540, 513, 18351, 269, 634, 1611, 585, 519, 3003, 667, 303, 6369, 10471, 585, 11673, 540, 3259, 476, 272, 266, 568, 1175, 936, 476, 276, 3197, 563, 30182, 570, 7505, 20099, 676, 3038, 3187, 454, 6546, 779, 782, 594, 723, 547, 2161, 827, 519, 1585, 7194, 1644, 547, 3259, 585, 713, 2022, 269, 594, 2220, 792, 256, 269, 8921, 649, 1847, 593, 547, 930, 540, 519, 824, 14573, 602, 594, 7229, 950, 4994, 532, 1919, 563, 8448, 5450, 7879, 585, 519, 13517, 12197, 454, 9961, 713, 2079, 594, 1185, 513, 2243, 540, 950, 547, 1491, 883, 2272, 602, 972, 941, 6634, 540, 5638, 538, 519, 10471, 602, 1185, 1100, 6609, 1459, 269, 594, 7948, 1406, 1175, 12235, 2476, 602, 1249, 538, 519, 2079, 855, 594, 4769, 1406, 917, 4010, 1018, 547, 798, 609, 873, 269, 1924, 2630, 594, 1459, 7194, 585, 519, 3328, 540, 1082, 540, 519, 4610, 594, 4994, 539, 607, 1312, 519, 1611, 540, 782, 540, 519, 11673, 543, 1287, 519, 1611, 540, 1175, 519, 11673, 602, 616, 835, 610, 811, 3197, 538, 3259, 269, 634, 11708, 602, 1246, 519, 3349, 2630, 616, 782, 1759, 593, 519, 15410, 540, 11673, 602, 616, 3152, 982, 610, 3160, 547, 835, 1915, 538, 3259, 563, 13614, 1107, 11192, 454, 13614, 1107, 476, 272, 266, 3259, 454, 1805, 641, 6919, 616, 1913, 602, 2049, 1360, 4122, 538, 2067, 1893, 269, 594, 1031, 513, 1592, 540, 476, 14096, 3247, 6919, 585, 713, 960, 547, 948, 1174, 1018, 6871, 540, 513, 6609, 630, 22372, 593, 21797, 264, 568, 1500, 909, 540, 3247, 6919, 269, 2755, 3247, 6919, 3622, 4163, 2370, 2495, 585, 2067, 1893, 267, 789, 616, 513, 1434, 13525, 540, 2067, 1893, 267, 865, 7426, 10774, 889, 338, 602, 723, 513, 2362, 6871, 540, 3247, 6919, 1131, 4440, 723, 811, 11673, 602, 18613, 2067, 1893, 563, 8110, 1417, 17547, 6919, 676, 3038, 3187, 454, 296, 729, 8049, 827, 875, 1454, 18685, 729, 1459, 538, 513, 6609, 593, 3328, 269, 594, 1031, 519, 1739, 3197, 607, 1250, 1305, 540, 968, 335, 9417, 6672, 3197, 7536, 296, 1336, 519, 1297, 540, 3197, 538, 513, 6609, 602, 941, 1500, 909, 540, 891, 3197, 5288, 824, 3197, 543, 1287, 5258, 519, 1297, 540, 18685, 3197, 676, 519, 2698, 6609, 3259, 547, 1205, 519, 6871, 540, 519, 6609, 602, 568, 18685, 563, 8110, 1417, 623, 9417, 6672, 676, 3038, 3187, 454, 303, 9417, 6672, 568, 1455, 538, 2067, 1893, 855, 621, 4386, 5266, 1102, 18526, 269, 1280, 1383, 602, 2063, 4845, 729, 32210, 3197, 1279, 543, 1152, 835, 540, 873, 729, 18685, 630, 1492, 1974, 693, 519, 1439, 540, 519, 4845, 1040, 2334, 2501, 547, 513, 2600, 7272, 9417, 6672, 540, 1152, 476, 272, 269, 1839, 10065, 769, 519, 3113, 1657, 596, 786, 1294, 519, 519, 536, 25632, 8502, 10774, 889, 814, 936, 476, 2004, 260, 540, 741, 6609, 609, 476, 1839, 268, 5392, 260, 18685, 269, 2334, 779, 1360, 1164, 950, 3379, 547, 519, 824, 32387, 543, 519, 1249, 602, 972, 568, 606, 3328, 540, 827, 476, 276, 260, 2949, 585, 519, 667, 303, 6369, 10471, 269, 7913, 20448, 814, 513, 6871, 540, 11673, 602, 616, 689, 476, 2004, 268, 10619, 260, 18685, 799, 568, 7168, 4277, 607, 1134, 563, 9202, 909, 538, 938, 1592, 540, 1919, 547, 1413, 693, 568, 519, 6871, 540, 519, 6609, 2361, 602, 5161, 540, 9981, 269, 1280, 2689, 267, 9981, 616, 9704, 267, 899, 519, 1739, 563, 296, 1031, 519, 1482, 1184, 585, 519, 2600, 8870, 607, 594, 1705, 585, 519, 2600, 18685, 5018, 1657, 563, 8110, 1417, 6715, 518, 676, 3038, 3187, 454, 2791, 666, 1294, 602, 972, 616, 1896, 7426, 10774, 889, 338, 602, 723, 3833, 513, 1164, 6871, 8870, 585, 741, 11673, 269, 1452, 7426, 10774, 889, 338, 616, 519, 536, 25632, 543, 519, 1159, 603, 26040, 269, 634, 1159, 603, 26040, 814, 936, 476, 3583, 260, 540, 922, 11673, 609, 2600, 9981, 540, 936, 476, 3583, 18336, 5629, 649, 4076, 6743, 693, 18685, 543, 9981, 267, 602, 3762, 2731, 1175, 5022, 540, 519, 9904, 547, 17539, 519, 1964, 540, 513, 6609, 2361, 563, 6546, 779, 4010, 1018, 649, 786, 1413, 693, 1985, 269, 1280, 713, 594, 1031, 519, 1739, 3197, 547, 5581, 5022, 563, 296, 4769, 1406, 1685, 1022, 2013, 24208, 865, 5022, 609, 1019, 659, 761, 923, 9327, 1406, 581, 18886, 607, 5022, 538, 713, 2079, 267, 855, 649, 786, 1413, 693, 1346, 513, 2370, 3787, 2663, 563, 8110, 1417, 14594, 676, 3038, 3187, 454, 2690, 2600, 5022, 596, 1131, 2503, 972, 547, 581, 513, 1360, 1164, 6871, 540, 519, 11673, 602, 2933, 2270, 513, 1164, 6871, 540, 5022, 538, 519, 6609, 269, 13575, 713, 5526, 547, 581, 3020, 855, 972, 616, 930, 9642, 7426, 10774, 889, 338, 1586, 5631, 536, 25632, 543, 519, 1159, 603, 26040, 267, 1498, 562, 344, 680, 267, 737, 323, 331, 543, 575, 17763, 849, 3100, 547, 723, 513, 1114, 3892, 540, 5022, 982, 1866, 538, 519, 10471, 563, 763, 1985, 3364, 547, 1413, 693, 729, 519, 6871, 540, 968, 338, 2133, 3197, 892, 1031, 538, 513, 6609, 269, 1280, 713, 594, 1031, 519, 1739, 4214, 540, 968, 338, 2133, 1915, 6100, 1403, 513, 1915, 568, 711, 1459, 538, 519, 1739, 1592, 540, 3197, 630, 6518, 849, 2882, 16543, 10628, 3197, 264, 1287, 621, 568, 2808, 547, 581, 513, 968, 338, 2133, 1915, 7536, 288, 4063, 538, 2542, 519, 3113, 1657, 267, 1832, 538, 2247, 602, 519, 586, 14289, 568, 1152, 476, 4817, 268, 1911, 260, 865, 1247, 2475, 290, 5654, 1114, 1934, 621, 1152, 4564, 476, 274, 260, 540, 922, 11673, 602, 723, 476, 2004, 268, 1911, 260, 540, 519, 6609, 1373, 2027, 3197, 269, 4107, 2693, 513, 1305, 540, 11673, 602, 723, 27034, 2813, 538, 513, 1875, 268, 1263, 1501, 1893, 563, 763, 3803, 3113 ]

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

[ 540, 2527, 269, 898, 568, 513, 2596, 1770, 538, 513, 11973, 1062, 267, 18005, 1634, 607, 4139, 3590, 540, 19590, 630, 514, 28484, 1106, 16038, 1916, 5804, 942, 547, 942, 519, 11304, 666, 581, 2854, 607, 11304, 1889, 269, 634, 3090, 540, 713, 1770, 568, 4846, 563, 5575, 4214, 540, 513, 11304, 729, 19775, 538, 476, 9692, 276, 269, 634, 11304, 729, 3989, 607, 519, 2527, 540, 835, 2148, 540, 1216, 269, 901, 4214, 729, 711, 7294, 855, 11207, 791, 24411, 547, 946, 563, 10190, 267, 538, 476, 6642, 280, 519, 11304, 729, 3989, 1210, 519, 4139, 5019, 9189, 540, 519, 18741, 6945, 630, 514, 2110, 1106, 7379, 298, 1040, 634, 7379, 298, 729, 1500, 540, 476, 3445, 260, 31091, 543, 476, 1015, 4939, 3352, 29899, 269, 634, 7379, 298, 729, 1031, 2394, 476, 1001, 280, 267, 950, 621, 729, 8719, 676, 513, 1007, 4214, 563, 3086, 12997, 519, 4214, 540, 519, 11304, 568, 1628, 593, 2168, 21635, 267, 2523, 23851, 3586, 269, 634, 4013, 4214, 568, 281, 968, 763, 11304, 267, 3090, 4846, 267, 568, 519, 16038, 1770, 540, 2527, 269, 898, 568, 3989, 676, 2921, 519, 6378, 10230, 1871, 540, 519, 23851, 3586, 554, 547, 581, 476, 277, 269, 277, 2918, 271, 3583, 1428, 9943, 1015, 6629, 4097, 950, 6829, 538, 519, 1770, 808, 414, 24844, 338, 267, 799, 568, 3160, 547, 4846, 414, 24844, 332, 273, 414, 24844, 338, 6629, 272, 267, 1141, 519, 25451, 543, 519, 2034, 616, 3989, 538, 2474, 540, 524, 543, 18529, 14832, 12336, 3034, 3080, 11304, 568, 4010, 476, 271, 269, 9826, 9522, 928, 269, 898, 1223, 581, 849, 5258, 547, 476, 1911, 1232, 22329, 543, 476, 1911, 271, 10101, 563, 2791, 917, 513, 2370, 827, 11304, 267, 865, 1631, 649, 666, 1847, 593, 547, 519, 11013, 269, 634, 11013, 568, 849, 513, 1770, 540, 2527, 269, 1284, 1616, 547, 11168, 602, 972, 616, 711, 1152, 835, 2186, 540, 11013, 269, 1548, 616, 649, 6158, 827, 286, 1280, 1383, 267, 972, 616, 849, 11013, 268, 4403, 269, 769, 713, 2376, 649, 1616, 547, 13404, 1152, 593, 11013, 2173, 817, 563, 763, 11013, 568, 538, 946, 538, 519, 15875, 543, 2136, 2276, 22232, 1949, 540, 7403, 269, 1677, 581, 9237, 267, 713, 1770, 568, 538, 946, 849, 538, 824, 1949, 269, 634, 3090, 540, 713, 1770, 568, 18470, 610, 968, 563, 2467, 568, 1100, 10855, 4214, 540, 519, 3486, 1285, 7546, 16632, 12251, 11013, 269, 898, 568, 4010, 476, 271, 269, 28526, 30020, 4391, 13532, 269, 2290, 1285, 7546, 16632, 12251, 11013, 666, 581, 5258, 547, 476, 1626, 1285, 7546, 16632, 12251, 13728, 543, 476, 10384, 271, 9274, 563, 763, 1285, 7546, 16632, 12251, 11013, 729, 8045, 538, 519, 1284, 2074, 543, 21474, 2920, 476, 3422, 274, 269, 634, 4214, 540, 519, 11013, 729, 2016, 538, 1101, 3296, 540, 713, 957, 281, 968, 763, 13452, 610, 519, 25451, 4927, 581, 519, 1770, 540, 6482, 540, 3259, 543, 519, 11013, 610, 519, 11304, 4927, 581, 519, 1770, 540, 6482, 540, 2527, 676, 4704, 547, 799, 1022, 6482, 5473, 513, 6482, 540, 3259, 610, 2527, 4927, 581, 1500, 538, 519, 2136, 8003, 282, 543, 268, 630, 320, 264, 519, 13452, 4927, 581, 476, 271, 269, 280, 1691, 275, 25451, 4010, 282, 630, 321, 264, 519, 11013, 4927, 581, 476, 271, 269, 28526, 30020, 4391, 11304, 4010, 3034, 31628, 3749, 3296, 568, 2907, 3297, 721, 269, 769, 713, 3296, 649, 1616, 547, 2995, 596, 875, 1454, 568, 476, 4097, 269, 8660, 4846, 547, 7273, 269, 3767, 596, 917, 602, 476, 4097, 269, 8660, 4846, 815, 1535, 7273, 269, 1924, 621, 568, 942, 547, 917, 519, 2626, 269, 2913, 779, 1294, 912, 4097, 269, 8660, 11304, 815, 476, 10602, 269, 280, 866, 27543, 21076, 279, 6550, 563, 6546, 568, 606, 3169, 6364, 540, 875, 1454, 476, 4097, 269, 8660, 4846, 547, 11013, 269, 1411, 949, 849, 5180, 621, 1055, 269, 2991, 621, 707, 1267, 568, 4010, 281, 476, 4097, 269, 8660, 4846, 815, 476, 10602, 269, 4037, 279, 7273, 563, 2791, 917, 476, 4097, 269, 8660, 4846, 568, 875, 1082, 7273, 267, 865, 723, 513, 1413, 875, 1082, 4846, 476, 4097, 269, 8660, 7273, 281, 476, 4097, 269, 8660, 11013, 815, 476, 271, 269, 28526, 30020, 4391, 13532, 563, 11917, 16227, 267, 713, 942, 596, 666, 849, 5180, 621, 1055, 269, 2991, 621, 707, 1267, 568, 4010, 281, 476, 4097, 269, 8660, 18470, 815, 476, 271, 269, 3393, 4846, 338, 563, 2171, 849, 1616, 547, 1397, 596, 476, 4097, 269, 8660, 4846, 547, 875, 1082, 6550, 543, 476, 4097, 269, 8660, 11013, 875, 1082, 4846, 2164, 538, 12125, 269, 6423, 912, 2171, 786, 2253, 609, 513, 3349, 585, 875, 1454, 568, 476, 4097, 269, 8660, 4846, 3160, 547, 11013, 563, 347, 298, 559, 9999, 630, 11899, 10534, 303, 2432, 630, 331, 321, 10534, 303, 2432, 630, 331, 2125, 264, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 10245, 19064, 2432, 1475, 298, 559, 9999, 1475, 298, 559, 9999, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 2008, 3086, 596, 917, 875, 1082, 476, 4097, 269, 8660, 4846, 547, 7273, 543, 875, 1082, 13532, 476, 4097, 269, 8660, 11013, 267, 865, 649, 666, 1847, 593, 547, 519, 476, 4097, 269, 8660, 4846, 547, 7273, 4542, 563, 2414, 6460, 476, 4097, 269, 8660, 4846, 547, 721, 7273, 596, 991, 513, 4542, 269, 1284, 616, 2469, 547, 1397, 596, 1079, 12596, 269, 2913, 779, 1376, 609, 519, 1101, 835, 912, 10831, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 476, 10602, 269, 280, 866, 27543, 21076, 279, 1267, 538, 6550, 454, 763, 1101, 4528, 540, 513, 4542, 2285, 596, 519, 1034, 2953, 1267, 269, 769, 930, 3871, 1256, 519, 10545, 3017, 1223, 581, 9645, 269, 1924, 952, 596, 1616, 547, 1205, 606, 3169, 1267, 910, 713, 4542, 786, 581, 519, 1655, 585, 596, 270, 641, 5406, 547, 6460, 875, 1082, 6550, 616, 6697, 547, 476, 4097, 269, 8660, 11304, 563, 3383, 1847, 593, 547, 519, 2034, 4542, 267, 799, 849, 6087, 24740, 547, 917, 875, 1454, 476, 4097, 269, 8660, 11304, 538, 6550, 563, 763, 2034, 4542, 568, 1524, 2630, 267, 723, 513, 1413, 912, 8649, 870, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 6364, 538, 6550, 454, 2026, 596, 1294, 267, 519, 2034, 4528, 568, 12863, 269, 898, 666, 581, 519, 1655, 3903, 952, 596, 1616, 547, 1118, 513, 7503, 540, 476, 4097, 269, 8660, 11304, 547, 6550, 538, 2656, 1259, 267, 585, 1383, 267, 1282, 10918, 269, 1411, 1152, 991, 547, 3314, 602, 3803, 1267, 786, 581, 711, 865, 2953, 563, 3086, 649, 616, 2469, 547, 1397, 596, 891, 1079, 12596, 538, 2259, 269, 1809, 1354, 649, 786, 1118, 513, 7503, 540, 476, 4097, 269, 8660, 4846, 547, 7273, 649, 616, 2469, 547, 1397, 596, 1776, 1259, 547, 917, 476, 4097, 269, 8660, 4846, 547, 875, 1082, 7273, 11207, 4674, 1652, 563, 5194, 1259, 547, 2638, 1018, 568, 476, 4097, 269, 8660, 11304, 3160, 547, 538, 6550, 568, 547, 946, 476, 4097, 269, 8660, 4846, 7273, 9498, 269, 1548, 568, 513, 4846, 547, 18470, 20303, 888, 15612, 1807, 568, 606, 3498, 269, 18185, 568, 1759, 593, 3476, 4542, 799, 649, 5795, 596, 538, 519, 3105, 851, 540, 713, 2376, 269, 9603, 547, 476, 4097, 269, 8660, 4846, 11013, 9498, 596, 666, 4674, 1652, 6460, 476, 4097, 269, 8660, 4846, 547, 7273, 269, 1411, 1152, 991, 547, 4283, 1297, 540, 13532, 799, 596, 991, 547, 5173, 543, 4945, 2048, 935, 3200, 685, 7735, 269, 634, 1267, 786, 581, 3254, 538, 513, 8755, 563, 3383, 2119, 547, 6460, 476, 4097, 269, 8660, 4846, 883, 7273, 1210, 476, 4097, 269, 8660, 4846, 5288, 11013, 20303, 269, 1284, 9411, 476, 4097, 269, 8660, 607, 513, 1297, 540, 13532, 269, 3371, 568, 519, 1267, 281, 476, 4097, 269, 8660, 11304, 815, 476, 10602, 269, 280, 866, 27543, 21076, 279, 6550, 563, 2026, 596, 1294, 267, 938, 476, 4097, 269, 8660, 4846, 5288, 7273, 20303, 568, 16022, 563, 3086, 649, 616, 2469, 547, 938, 1292, 1888, 910, 875, 547, 6460, 476, 4097, 269, 8660, 13532, 547, 6550, 593, 707, 1378, 563, 2171, 786, 2253, 476, 4097, 269, 8660, 11304, 11224, 547, 875, 1082, 6550, 9819, 609, 519, 1101, 4542, 547, 1205, 519, 1034, 3169, 1267, 269, 589, 2656, 12576, 540, 513, 4542, 912, 8649, 870, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 10602, 269, 280, 866, 27543, 21076, 279, 519, 1267, 538, 6550, 454, 3383, 1018, 991, 596, 798, 547, 2638, 875, 1082, 6550, 3160, 547, 476, 4097, 269, 8660, 11304, 286, 3807, 9062, 1297, 540, 13532, 267, 713, 942, 476, 4097, 269, 8660, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 3160, 476, 10602, 269, 280, 866, 27543, 21076, 279, 269, 1924, 476, 4097, 269, 8660, 11304, 568, 4010, 476, 10602, 269, 280, 866, 27543, 21076, 279, 563, 2005, 568, 849, 2009, 547, 5180, 1055, 713, 1267, 267, 585, 3236, 267, 547, 1079, 8918, 4025, 269, 898, 568, 476, 273, 269, 736, 269, 1924, 476, 4097, 269, 8660, 11304, 815, 476, 10602, 269, 4037, 279, 271, 6550, 563, 2005, 568, 1164, 942, 585, 606, 1383, 689, 4948, 1272, 269, 2913, 779, 6460, 476, 4097, 269, 8660, 4846, 4154, 538, 6550, 269, 1924, 476, 4097, 269, 8660, 4846, 3160, 547, 875, 1082, 7273, 286, 1306, 538, 519, 3105, 1383, 910, 9062, 476, 4097, 269, 8660, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 4010, 476, 10602, 269, 280, 866, 27543, 21076, 279, 269, 1924, 6697, 540, 476, 4097, 269, 8660, 13532, 547, 6550, 267, 950, 621, 2501, 547, 4154, 267, 568, 3160, 476, 10602, 269, 280, 866, 27543, 21076, 279, 563, 1103, 713, 1383, 621, 568, 849, 2009, 547, 5180, 1055, 519, 1267, 269, 898, 568, 519, 6364, 1310, 24263, 1055, 267, 713, 942, 547, 835, 8918, 1747, 910, 476, 4097, 269, 8660, 11304, 476, 10602, 269, 4037, 279, 6550, 563, 3086, 649, 616, 2469, 547, 1806, 10736, 1210, 513, 2110, 4528, 540, 513, 4542, 563, 6524, 649, 1397, 596, 606, 1383, 910, 513, 2656, 12576, 540, 10156, 4542, 912, 10831, 540, 13532, 2608, 476, 273, 269, 273, 815, 476, 10602, 269, 4037, 279, 519, 1267, 538, 6550, 454, 3383, 476, 4097, 269, 8660, 4846, 3160, 547, 875, 1454, 7273, 286, 1656, 1586, 267, 596, 723, 547, 9062, 2179, 540, 11304, 267, 538, 713, 2013, 476, 4097, 269, 8660, 267, 676, 476, 273, 269, 273, 269, 2913, 779, 1294, 281, 476, 4097, 269, 8660, 2608, 476, 273, 269, 273, 815, 476, 10602, 269, 4037, 279, 269, 1924, 476, 4097, 269, 8660, 11304, 568, 4010, 476, 273, 269, 273, 6550, 563, 4131, 779, 1118, 1776, 9819, 1210, 13272, 337, 4528, 540, 513, 4542, 269, 3767, 6460, 1945, 689, 4948, 1272, 267, 585, 3236, 267, 476, 4097, 269, 8660, 4846, 547, 7273, 2597, 540, 22229, 563, 3383, 5173, 910, 476, 4097, 269, 8660, 11304, 540, 22229, 2608, 476, 273, 269, 273, 815, 476, 10602, 269, 4037, 279, 6550, 540, 22229, 269, 1924, 476, 4097, 269, 8660, 4846, 547, 11013, 2527, 568, 4010, 476, 10602, 269, 4037, 279, 563, 2252, 596, 917, 875, 1454, 568, 476, 4097, 269, 8660, 11304, 2597, 538, 6550, 543, 616, 2111, 547, 6460, 621, 609, 946, 540, 1079, 1114, 8747, 540, 513, 4542, 267, 649, 666, 1847, 593, 269, 3767, 649, 616, 2469, 547, 1397, 596, 782, 2164, 538, 7515, 563, 2171, 917, 602, 4093, 4843, 538, 7515, 616, 865, 1454, 20501, 585, 1034, 540, 596, 269, 1284, 1174, 621, 267, 865, 649, 10356, 782, 891, 4093, 538, 12125, 585, 707, 13418, 269, 8729, 547, 713, 596, 666, 3362, 1118, 513, 6476, 476, 4097, 269, 8660, 4846, 6697, 547, 7273, 4093, 563, 9359, 609, 513, 476, 4097, 269, 8660, 4846, 11224, 7273, 3349, 585, 519, 1101, 4542, 912, 347, 298, 559, 9999, 1475, 303, 2432, 1475, 303, 2432, 630, 12898, 24263, 1055, 547, 1079, 8918, 4025, 10245, 4517, 1631, 1294, 476, 4097, 269, 8660, 4846, 3160, 11013, 3349, 585, 519, 2034, 4528, 540, 513, 4542, 912, 2026, 596, 1294, 267, 1310, 24263, 1055, 267, 950, 621, 2501, 547, 875, 1454, 476, 4097, 269, 8660, 11304, 11224, 6550, 267, 519, 4093, 616, 711, 1114, 269, 634, 8273, 1297, 519, 811, 1713, 3017, 269, 5457, 621, 950, 596, 991, 547, 798, 8273, 1297, 982, 476, 4097, 269, 8660, 13532, 6550, 7503, 563, 3086, 596, 4121, 875, 547, 5173 ]

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

[ 4211, 534, 6598, 1935, 602, 1281, 711, 3801, 547, 2706, 574, 2821, 513, 968, 20139, 892, 10959, 936, 2199, 3982, 1161, 855, 3096, 519, 3982, 1161, 547, 4739, 513, 811, 11029, 267, 13857, 1620, 563, 1103, 3168, 693, 10350, 3631, 649, 1376, 609, 519, 1476, 25005, 9313, 540, 519, 4563, 20584, 543, 594, 549, 638, 12251, 547, 1294, 1018, 1500, 873, 14323, 269, 1306, 649, 1847, 547, 7810, 3919, 267, 649, 3580, 1413, 693, 2500, 5872, 281, 1548, 1705, 930, 540, 519, 5923, 518, 1827, 832, 1451, 689, 1346, 789, 968, 337, 27968, 892, 286, 1548, 3741, 540, 10350, 798, 3689, 8315, 723, 547, 4001, 721, 286, 1215, 1705, 519, 1931, 540, 12625, 1765, 5575, 8315, 267, 3943, 267, 5053, 543, 3703, 8128, 1860, 519, 3337, 540, 2221, 779, 2486, 286, 1548, 1131, 649, 3668, 952, 713, 1185, 1044, 1114, 888, 12024, 3772, 538, 519, 6908, 540, 3408, 12462, 325, 4193, 938, 1259, 25257, 649, 2253, 8195, 609, 694, 6210, 532, 2263, 637, 593, 1312, 7414, 543, 9533, 5032, 338, 269, 1284, 1246, 519, 3943, 24568, 519, 3268, 540, 3689, 13780, 10274, 24568, 1633, 547, 1106, 954, 24055, 19710, 267, 543, 519, 4332, 540, 519, 631, 18863, 529, 1004, 269, 1284, 1246, 519, 8857, 267, 12138, 27963, 20044, 773, 689, 1010, 968, 4134, 1952, 31212, 892, 585, 599, 883, 519, 11848, 547, 1010, 3903, 540, 519, 29807, 30876, 5211, 630, 22372, 593, 513, 5326, 264, 547, 1265, 513, 8905, 547, 645, 7578, 15346, 320, 593, 519, 7414, 267, 968, 5228, 4516, 676, 2244, 3034, 4415, 519, 24020, 1739, 25825, 476, 3445, 1296, 2663, 267, 649, 1294, 519, 3345, 4639, 10426, 720, 729, 711, 3274, 519, 1445, 540, 513, 5108, 540, 9378, 523, 269, 634, 2197, 602, 3710, 513, 8574, 1063, 5607, 543, 2342, 676, 5374, 7841, 543, 2848, 4461, 1222, 2968, 513, 8574, 1063, 6082, 538, 513, 18371, 1158, 269, 12254, 29124, 15040, 5152, 968, 22139, 8054, 10426, 720, 892, 19306, 713, 6249, 269, 7388, 1154, 713, 1576, 3947, 1053, 513, 2656, 5758, 540, 938, 1686, 563, 24523, 543, 11873, 1107, 3776, 2197, 568, 513, 14951, 7708, 557, 540, 8964, 543, 23929, 689, 1082, 2127, 543, 2798, 540, 5169, 1519, 3689, 8315, 269, 1284, 3580, 581, 11836, 267, 1316, 2358, 543, 1565, 1082, 540, 891, 607, 649, 1995, 938, 1114, 4525, 543, 5389, 269, 1284, 3580, 2721, 593, 2199, 5159, 267, 6791, 543, 3705, 1562, 547, 4001, 721, 8164, 2009, 269, 1879, 649, 723, 1053, 543, 593, 4580, 5234, 4810, 538, 891, 5389, 267, 649, 685, 946, 873, 269, 7087, 267, 2296, 543, 3943, 6340, 22256, 5152, 32392, 689, 4516, 723, 8810, 1158, 1362, 269, 1284, 723, 513, 5458, 4199, 547, 2721, 593, 538, 938, 3232, 631, 1299, 631, 2053, 563, 29441, 338, 543, 12267, 630, 306, 3008, 264, 1107, 1703, 616, 476, 1911, 2854, 20072, 593, 1585, 3344, 540, 4516, 267, 8225, 4296, 267, 543, 519, 8225, 6891, 543, 2418, 269, 2368, 540, 891, 723, 1044, 6592, 547, 8106, 2575, 10080, 269, 1703, 616, 476, 1321, 12535, 267, 1519, 519, 1739, 269, 6423, 5439, 538, 30569, 563, 268, 968, 288, 13474, 585, 892, 28527, 8625, 267, 519, 9061, 532, 267, 519, 15531, 16733, 279, 994, 268, 968, 288, 13780, 540, 2507, 27535, 20551, 267, 7813, 619, 267, 27207, 5443, 267, 24547, 558, 1846, 2560, 263, 2918, 994, 268, 968, 28657, 568, 892, 3126, 281, 513, 6820, 17496, 267, 15328, 6193, 23008, 320, 631, 32121, 630, 277, 538, 782, 994, 268, 968, 4692, 21808, 595, 5971, 748, 281, 892, 18844, 20584, 267, 8402, 681, 1408, 267, 2558, 8775, 879, 9371, 630, 274, 994, 268, 968, 4692, 6598, 32733, 892, 630, 280, 994, 268, 968, 4692, 6598, 29062, 892, 581, 11232, 267, 25308, 6978, 267, 2138, 1729, 267, 13458, 18975, 630, 280, 994, 268, 968, 28657, 779, 2507, 892, 5313, 1915, 267, 1480, 2924, 267, 15815, 15317, 11299, 630, 278, 994, 268, 968, 296, 993, 892, 3126, 281, 519, 8225, 3117, 4109, 1145, 267, 519, 8225, 15552, 630, 277, 994, 268, 1772, 4516, 2507, 9495, 281, 32161, 267, 1863, 267, 16883, 267, 19636, 267, 513, 2197, 630, 277, 994, 268, 968, 763, 8225, 13336, 281, 892, 7104, 267, 17685, 8590, 267, 16004, 531, 267, 8733, 630, 1015, 994, 268, 966, 3126, 281, 8225, 18880, 267, 966, 4150, 903, 267, 22810, 267, 17496, 267, 30576, 720, 584, 630, 1321, 994, 268, 968, 2171, 616, 892, 3126, 281, 23671, 267, 2560, 538, 5384, 270, 22129, 267, 9861, 1299, 29460, 630, 277, 994, 4322, 20072, 666, 581, 1224, 21088, 610, 609, 909, 547, 2185, 9739, 538, 3988, 16222, 269, 3962, 15858, 2507, 2875, 786, 3442, 543, 1459, 835, 540, 891, 538, 513, 14644, 338, 543, 12267, 8400, 267, 4805, 610, 609, 824, 3988, 563, 1805, 3530, 786, 1683, 6351, 538, 7446, 543, 18006, 538, 7041, 269, 3143, 7097, 666, 581, 4843, 585, 6268, 811, 982, 2899, 679, 8905, 267, 1498, 930, 949, 581, 7368, 593, 6728, 13515, 543, 2146, 11564, 563, 763, 968, 560, 1559, 892, 3368, 540, 14644, 338, 543, 12267, 960, 786, 2721, 593, 6805, 5711, 9423, 2245, 543, 824, 12535, 540, 8225, 18691, 269, 3962, 2875, 786, 581, 4280, 547, 1353, 1451, 543, 1459, 1079, 2984, 281, 835, 689, 1010, 17017, 1378, 267, 543, 835, 689, 513, 911, 526, 819, 610, 3148, 824, 982, 1010, 17017, 1378, 563, 763, 2034, 786, 4125, 15360, 609, 2576, 1369, 602, 2245, 269, 12267, 949, 581, 4843, 970, 18556, 24345, 610, 689, 887, 974, 1565, 267, 1498, 705, 13092, 5389, 12797, 519, 5191, 547, 970, 18556, 1125, 936, 973, 2787, 269, 8225, 2239, 9954, 949, 849, 581, 6074, 9706, 18677, 563, 272, 4107, 540, 891, 12331, 941, 2919, 543, 4843, 676, 2160, 540, 22598, 4065, 7905, 3220, 269, 590, 826, 22118, 577, 538, 513, 10927, 1576, 593, 968, 25332, 6326, 267, 5589, 1800, 543, 16214, 1848, 3220, 269, 22118, 577, 2663, 6039, 607, 5084, 300, 693, 22598, 4065, 269, 0, 1432, 568, 21370, 2792, 888, 20877, 545, 2792, 3322, 519, 946, 540, 3308, 1570, 547, 9305, 2093, 971, 607, 12400, 267, 11147, 267, 15942, 267, 543, 25780, 269, 7102, 5420, 602, 3096, 513, 12449, 547, 5351, 538, 23187, 513, 5048, 267, 6044, 267, 610, 606, 2856, 568, 3238, 538, 21370, 2792, 563, 3963, 12449, 616, 1271, 585, 1870, 2792, 888, 24058, 2792, 3091, 513, 10375, 7154, 540, 3375, 1818, 538, 4213, 269, 898, 16881, 2653, 543, 2656, 7664, 540, 1344, 269, 634, 2656, 1344, 4393, 1797, 2656, 543, 4977, 3664, 269, 10439, 2792, 2337, 5561, 547, 1118, 3608, 543, 2656, 3664, 827, 513, 2754, 779, 2472, 563, 1432, 616, 519, 1114, 2010, 540, 12449, 538, 1870, 2792, 888, 1103, 1870, 1603, 543, 2930, 2792, 267, 12449, 616, 1031, 607, 3308, 11269, 547, 1489, 519, 1257, 538, 513, 1867, 267, 11556, 267, 1305, 540, 5528, 267, 610, 2147, 6054, 269, 9537, 540, 12449, 1331, 12125, 267, 12222, 267, 12400, 267, 5515, 267, 11708, 267, 7851, 267, 11147, 267, 543, 7515, 563, 7617, 2792, 568, 1634, 607, 8642, 2792, 888, 24058, 2792, 568, 849, 1634, 607, 8642, 2792, 563, 1432, 729, 519, 1101, 1106, 540, 8642, 2792, 888, 20877, 545, 1374, 666, 581, 14360, 782, 519, 1259, 1394, 547, 476, 1428, 267, 1822, 7460, 267, 950, 519, 1101, 1634, 3308, 10618, 21256, 269, 1452, 3182, 21106, 543, 6698, 616, 1459, 538, 519, 700, 2444, 14513, 23572, 538, 7013, 5333, 269, 16258, 268, 3453, 1896, 8536, 1296, 267, 543, 596, 3580, 3605, 519, 2349, 879, 31790, 563, 1432, 1281, 18753, 9442, 1445, 593, 888, 20877, 545, 2792, 6212, 593, 519, 1374, 267, 1646, 543, 6765, 540, 3308, 4773, 1031, 547, 20794, 1808, 1344, 267, 2093, 610, 4664, 269, 18753, 2792, 4648, 946, 513, 3099, 540, 2923, 547, 6655, 741, 2093, 267, 899, 14318, 267, 10344, 267, 8642, 1374, 543, 14745, 563, 1432, 616, 519, 5383, 540, 8642, 2792, 888, 5278, 540, 519, 1292, 2640, 540, 3308, 2792, 1331, 912, 268, 10439, 11226, 666, 5838, 1344, 811, 2047, 563, 268, 10439, 2792, 568, 811, 8465, 982, 11913, 2792, 563, 268, 10439, 11226, 616, 811, 3007, 3766, 4599, 6883, 543, 2502, 563, 268, 3194, 814, 1044, 2111, 547, 3715, 602, 3308, 2792, 2306, 606, 1764, 593, 519, 5304, 563, 1432, 616, 12449, 1806, 888, 14300, 540, 12449, 1331, 7851, 267, 11147, 267, 6272, 543, 3270, 267, 1920, 4054, 267, 12222, 267, 11265, 610, 4702, 23039, 29251, 267, 3046, 12125, 543, 2650, 12125, 267, 1462, 2762, 267, 1085, 24136, 267, 1899, 1148, 267, 2095, 577, 11301, 267, 543, 1082, 824, 3239, 3029, 563, 3674, 8642, 1374, 519, 1482, 607, 8642, 10618, 888, 20877, 545, 1374, 6212, 593, 1808, 1374, 2609, 267, 543, 8642, 10618, 6212, 593, 519, 4640, 15888, 946, 547, 5968, 3677, 6835, 547, 606, 5304, 563, 1432, 616, 519, 11393, 540, 8642, 2792, 888, 288, 1761, 17498, 728, 540, 3308, 2792, 3322, 519, 946, 540, 14605, 2966, 3308, 11226, 602, 616, 2352, 547, 1174, 610, 1294, 269, 1403, 13061, 1344, 568, 4843, 267, 2592, 666, 849, 581, 16297, 532, 543, 15641, 324, 519, 1620, 540, 2035, 789, 1058, 581, 3843, 547, 12172, 563, 1432, 616, 519, 5383, 540, 5907, 2792, 888, 4696, 309, 19611, 8980, 2464, 5508, 661, 22268, 305, 2177, 2975, 25265, 7419, 2975, 9569, 8899, 1942, 281, 18329, 2792, 17990, 942, 543, 2724, 269, 1280, 1383, 267, 1257, 590, 5960, 568, 14949, 982, 519, 2757, 4484, 269, 16510, 540, 5955, 281, 18329, 2792, 2636, 519, 8216, 5385, 540, 5955, 269, 1924, 2792, 3587, 3501, 1210, 5907, 2923, 563, 1432, 568, 519, 4214, 540, 21370, 2792, 888, 20877, 545, 2792, 3322, 519, 946, 540, 3308, 1570, 547, 9305, 2093, 971, 607, 12400, 267, 11147, 267, 15942, 267, 543, 25780, 269, 634, 12400, 540, 4566, 543, 13217, 906, 543, 513, 11315, 4786, 11516, 3481, 547, 1397, 519, 1259, 1223, 581, 2808, 21370, 2792, 269, 7102, 5420, 602, 3096, 513, 12449, 547, 5351, 538, 23187, 513, 5048, 267, 7498, 1432, 616, 519, 2640, 540, 18753, 18058, 888, 14187, 8642, 10618, 666, 6655, 519, 5758, 540, 513, 5816, 2022, 267, 13686, 513, 1007, 1587, 267, 581, 1031, 547, 5693, 2491, 7194, 267, 543, 1034, 11932, 267, 15498, 3294, 883, 707, 3077, 9458, 685, 8823, 269, 18753, 2792, 26182, 1004, 547, 1491, 2962, 267, 621, 666, 581, 2375, 633, 543, 10388, 563, 1432, 568, 519, 2495, 540, 12449, 538, 1870, 1603, 888, 1103, 1870, 1603, 543, 1099, 3821, 561, 2792, 267, 12449, 616, 1031, 607, 3308, 11269, 547, 1489, 519, 1257, 538, 513, 1867, 267, 11556, 267, 1305, 540, 5528, 267, 610, 2147, 6054, 269, 9537, 540, 12449, 1331, 12125, 267, 12222, 267, 12400, 267, 5515, 267, 11708, 267, 7851, 267, 11147, 267, 543, 7515, 269, 661, 22029, 281, 3245, 519, 5259, 267, 968, 8586, 9731, 1432, 568, 3308, 2792, 538, 10229, 888, 24058, 2792, 568, 519, 6655, 766, 540, 6835, 998, 3308, 11226, 269, 10439, 2792, 12346, 593, 5075, 547, 4309, 543, 1184, 2592, 269, 10439, 11226, 949, 2097, 538, 519, 1106, 540, 10229, 267, 14318, 267, 14745, 267, 8642, 1374, 267, 1462, 2762, 267, 5373, 267, 610, 4853, 1374, 269, 0, 4692, 11671, 15797, 2142, 595, 3293, 2107, 7066, 730, 454, 2467, 616, 513, 1297, 540, 1114, 3681, 2139, 585, 519, 2126, 540, 29302, 538, 519, 7953, 543, 3952, 267, 4470, 593, 519, 5817, 2014, 269, 769, 930, 2665, 267, 2126, 949, 581, 607, 2241, 607, 5883, 519, 5817, 2783, 602, 568, 4929, 29302, 563, 2690, 1383, 267, 952, 29302, 568, 3361, 676, 3987, 267, 2126, 786, 1445, 593, 5329, 1973, 4006, 2157, 896, 1852, 269, 769, 824, 2665, 267, 811, 1808, 5574, 949, 581, 2556, 563, 6944, 13764, 10552, 3794, 26651, 20946, 454, 21093, 1973, 7280, 2157, 896, 1852, 18085, 9258, 8229, 3441, 855, 666, 2061, 2417, 3441, 689, 9648, 269, 2659, 4387, 786, 2285, 596, 1808, 1973, 4006, 3853, 269, 19737, 891, 2157, 2882, 4189, 513, 2635, 2732, 1164, 538, 3940, 543, 1970, 538, 19719, 269, 1879, 596, 3548, 19719, 267, 2119, 547, 3442, 1426, 609, 513, 2362, 6775, 1543, 267, 9319, 13365, 543, 14614, 563, 19894, 3635, 666, 948, 1832, 1973, 4006, 2157, 19242, 676, 2810, 7378, 8417, 267, 2495, 596, 961, 991, 547, 1491, 1447, 7378, 1142, 1554, 269, 15775, 2614, 3207, 568, 849, 1271, 267, 607, 649, 1419, 6159, 557, 1164, 2275, 16808, 3536, 950, 22350, 13110, 563, 1692, 2052, 594, 16473, 12128, 454, 2252, 596, 723, 3987, 267, 621, 30232, 1271, 547, 4383, 707, 912, 268, 10552, 7280, 4586, 2791, 666, 6175 ]

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

[ 540, 3681, 3769, 538, 707, 7552, 689, 519, 3742, 547, 519, 25161, 543, 1256, 519, 14015, 256, 1656, 952, 596, 1616, 547, 3247, 693, 824, 590, 9200, 1014, 18353, 971, 607, 661, 330, 831, 514, 7921, 543, 772, 17427, 27138, 1485, 1175, 1577, 721, 917, 543, 649, 3580, 581, 6126, 547, 1865, 519, 3681, 585, 4946, 891, 547, 707, 1995, 563, 4002, 12625, 538, 27388, 643, 739, 758, 1118, 707, 1378, 1259, 547, 519, 476, 274, 26926, 483, 15678, 269, 630, 2171, 666, 3489, 3928, 585, 9120, 20730, 2307, 513, 4759, 540, 519, 31681, 2319, 585, 3877, 4700, 2659, 5360, 21747, 27084, 303, 871, 568, 2407, 540, 2093, 585, 3478, 519, 1034, 856, 540, 707, 1863, 942, 563, 302, 1233, 3560, 547, 27388, 643, 739, 758, 13749, 1141, 596, 786, 4604, 519, 7054, 330, 7491, 330, 3808, 5721, 563, 763, 18226, 1286, 568, 519, 2295, 540, 1514, 1272, 593, 512, 6231, 2237, 513, 1453, 1650, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 307, 30728, 1315, 5607, 1315, 5101, 1315, 31322, 2580, 6098, 693, 476, 276, 4458, 6040, 1453, 609, 4642, 1702, 540, 519, 1158, 543, 1480, 4205, 269, 8528, 763, 1650, 1058, 946, 2241, 2474, 267, 543, 8499, 2491, 1360, 2596, 1344, 827, 2168, 543, 1480, 4205, 269, 2422, 2653, 3562, 17000, 1806, 543, 6451, 2055, 513, 476, 276, 4458, 6040, 1223, 723, 2059, 609, 741, 4267, 269, 3550, 602, 519, 1650, 6227, 4948, 3527, 543, 519, 946, 540, 1455, 3615, 269, 0, 5149, 476, 278, 281, 18181, 585, 2657, 543, 23046, 281, 4400, 19871, 31204, 543, 5259, 962, 690, 4669, 15369, 667, 17143, 338, 692, 7072, 912, 1103, 2221, 781, 1158, 267, 972, 568, 606, 2810, 4656, 827, 519, 2956, 540, 4509, 513, 2635, 6197, 998, 1697, 6484, 269, 2060, 865, 1082, 8192, 3681, 543, 20849, 1344, 267, 621, 666, 581, 4101, 547, 3313, 519, 1655, 1935, 585, 6099, 1072, 269, 901, 1770, 786, 1445, 593, 1164, 3940, 10346, 543, 5259, 18506, 2861, 28916, 602, 616, 1312, 8949, 543, 7067, 269, 1635, 6220, 891, 3536, 883, 707, 3232, 6980, 267, 596, 786, 2087, 707, 2949, 1072, 1247, 17598, 707, 6492, 19512, 780, 11947, 19871, 31204, 912, 3682, 12888, 4249, 513, 2565, 1909, 538, 938, 4703, 676, 2679, 543, 28472, 8031, 267, 6721, 10399, 543, 11476, 267, 543, 3246, 2497, 547, 2281, 543, 8219, 269, 3117, 11167, 7850, 5666, 540, 3940, 2337, 2226, 4887, 2527, 267, 7028, 4761, 1599, 267, 543, 8992, 2893, 328, 1214, 267, 1818, 621, 4443, 547, 4383, 2597, 269, 1879, 8939, 5946, 267, 1904, 585, 10709, 2959, 971, 607, 9269, 267, 21429, 267, 3165, 267, 5798, 267, 22053, 267, 543, 1970, 19339, 10683, 2472, 780, 3080, 2442, 1164, 3940, 11600, 568, 519, 918, 1446, 623, 14040, 674, 761, 339, 1092, 5018, 538, 519, 6679, 1349, 269, 634, 4999, 540, 25989, 543, 5798, 2488, 606, 5140, 2707, 540, 3940, 267, 8324, 267, 543, 6886, 269, 1677, 5965, 519, 8670, 267, 1094, 583, 2946, 22872, 25989, 2394, 27315, 1540, 543, 3575, 609, 29041, 5798, 19023, 609, 6070, 267, 14723, 267, 543, 7969, 11922, 269, 32449, 519, 7848, 883, 513, 6067, 1078, 2650, 6676, 543, 27106, 693, 476, 12573, 13790, 585, 476, 736, 3764, 610, 2394, 1305, 269, 31160, 3905, 610, 4411, 543, 2972, 607, 513, 17598, 14254, 267, 12899, 267, 610, 12129, 4781, 780, 5194, 1164, 3940, 11600, 568, 2372, 29184, 853, 4428, 539, 13852, 3212, 13827, 269, 2372, 29184, 568, 513, 2347, 3940, 5627, 782, 8370, 1898, 11254, 7408, 269, 28799, 11273, 844, 29184, 609, 2666, 5779, 630, 577, 1157, 523, 267, 21429, 267, 610, 14132, 1070, 546, 5367, 14274, 267, 13342, 267, 19637, 267, 543, 14546, 269, 19130, 10300, 1386, 11350, 18717, 609, 519, 7848, 543, 27106, 693, 476, 23841, 13790, 585, 476, 1789, 3764, 610, 2394, 13035, 269, 1452, 28077, 18717, 2709, 513, 7059, 7594, 14095, 609, 6775, 267, 6171, 595, 267, 543, 4401, 780, 31528, 962, 690, 4669, 15369, 667, 17143, 338, 912, 4407, 12145, 4006, 6981, 568, 2629, 585, 1434, 1072, 267, 14874, 26265, 15587, 949, 1291, 547, 4606, 540, 19231, 543, 22638, 18656, 10885, 269, 589, 3070, 547, 14183, 707, 6653, 5694, 1510, 18731, 1072, 2640, 568, 1210, 5259, 18506, 607, 513, 3490, 585, 18397, 10346, 269, 5259, 18506, 3568, 5595, 519, 2179, 540, 3940, 3379, 547, 2834, 18506, 267, 1818, 621, 606, 4998, 3903, 585, 2022, 22086, 719, 6051, 610, 513, 11423, 15165, 269, 3958, 267, 5259, 18506, 3091, 22763, 602, 1489, 8937, 1072, 267, 7513, 585, 5642, 5860, 267, 543, 11379, 585, 2295, 1599, 780, 288, 2241, 2943, 1232, 611, 550, 5259, 18506, 2861, 18397, 568, 28688, 2997, 665, 5964, 631, 28907, 269, 2349, 754, 22691, 19146, 15606, 267, 5667, 11548, 2989, 23342, 8869, 267, 5259, 18506, 267, 9932, 267, 29877, 1349, 267, 543, 30288, 5144, 2394, 5347, 269, 4676, 3419, 4733, 585, 1896, 3108, 1354, 7674, 21959, 1639, 609, 4195, 15708, 543, 695, 8491, 10217, 269, 901, 544, 28907, 19646, 2635, 9600, 267, 14434, 267, 543, 3940, 267, 2870, 513, 3501, 3666, 1063, 18656, 10885, 543, 29454, 780, 2690, 1346, 945, 4782, 4829, 10366, 267, 9791, 9440, 4258, 525, 1815, 820, 3474, 17304, 1080, 1683, 513, 24253, 1521, 269, 23771, 5259, 18506, 6404, 609, 11993, 1990, 652, 267, 9932, 267, 543, 29877, 1349, 609, 30207, 19184, 539, 538, 18654, 10433, 543, 4006, 269, 19244, 6106, 538, 14296, 610, 26633, 543, 1283, 609, 16760, 1178, 5069, 11523, 619, 610, 11491, 7637, 585, 3773, 9403, 269, 17949, 607, 513, 1769, 18397, 610, 544, 1342, 599, 4584, 24578, 5346, 780, 6962, 912, 3528, 10128, 1164, 3940, 10346, 899, 918, 1446, 623, 14040, 674, 761, 339, 1092, 543, 2372, 29184, 853, 4428, 539, 13852, 3212, 13827, 7258, 5259, 18506, 2861, 28916, 971, 607, 28688, 2997, 665, 5964, 631, 28907, 543, 9791, 9440, 4258, 525, 1815, 820, 3474, 17304, 1080, 267, 596, 666, 1711, 29316, 543, 14312, 6980, 602, 3895, 1072, 543, 8171, 269, 5457, 547, 6432, 547, 707, 1560, 781, 26351, 543, 946, 873, 607, 6667, 585, 5368, 28124, 5929, 8286, 609, 27357, 5820, 269, 8414, 5986, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 298, 1446, 623, 14040, 674, 761, 339, 1092, 630, 303, 1446, 334, 267, 2398, 2711, 267, 19940, 1789, 264, 543, 5440, 476, 277, 595, 9545, 902, 5174, 755, 532, 9669, 454, 2080, 779, 875, 594, 2097, 909, 609, 10346, 281, 594, 1376, 609, 513, 6159, 1324, 543, 1287, 594, 1121, 820, 621, 267, 1072, 2685, 269, 2334, 1259, 267, 594, 2760, 1745, 27226, 543, 594, 1205, 519, 2647, 3099, 540, 5567, 594, 991, 547, 1832, 1250, 1072, 630, 663, 2597, 267, 2960, 267, 1648, 267, 3207, 267, 3092, 4700, 593, 3950, 563, 7069, 3804, 568, 547, 4001, 596, 547, 798, 519, 1482, 269, 594, 6557, 2324, 2182, 593, 3384, 7594, 4566, 1107, 5741, 966, 2320, 3599, 2725, 531, 12697, 256, 1107, 585, 596, 267, 609, 10918, 8638, 267, 16801, 5986, 5528, 267, 4859, 5528, 267, 543, 4388, 585, 579, 6137, 610, 16715, 519, 16087, 1293, 267, 1759, 593, 707, 2123, 6484, 3853, 269, 1358, 3580, 581, 2139, 585, 6718, 593, 1250, 1007, 23046, 5682, 7935, 628, 476, 1789, 28233, 7420, 3896, 269, 1403, 596, 2461, 5461, 538, 1373, 711, 1881, 950, 789, 2461, 4712, 267, 1118, 2386, 596, 2461, 20401, 539, 547, 1250, 5741, 966, 2320, 3599, 2725, 531, 12697, 4757, 1592, 2336, 3383, 267, 7058, 1018, 594, 729, 6159, 1324, 950, 594, 3357, 909, 609, 713, 535, 761, 339, 1092, 286, 670, 1695, 21036, 269, 594, 1810, 1406, 917, 513, 1268, 9800, 945, 3085, 1406, 6159, 557, 16741, 269, 5213, 1406, 1205, 803, 4636, 1107, 12212, 594, 10943, 25973, 593, 1350, 1393, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 2910, 19170, 1315, 2657, 1299, 23046, 1315, 4400, 19871, 1315, 5259, 962, 690, 4669, 15369, 667, 17143, 338, 269, 1684, 711, 1175, 1592, 2035, 267, 855, 1020, 1142, 835, 538, 1469, 1354, 3001, 547, 519, 1985, 267, 607, 649, 4225, 3178, 540, 1620, 543, 3102, 3408, 540, 519, 1641, 2339, 936, 4560, 563, 2521, 547, 1384, 268, 3550, 538, 3829, 3795, 540, 519, 2035, 563, 268, 2422, 513, 2239, 2219, 4538, 2511, 563, 268, 4045, 519, 1888, 609, 1699, 3466, 267, 1483, 3734, 1806, 267, 610, 2487, 2090, 563, 2710, 711, 1331, 513, 2140, 267, 2606, 2453, 610, 2592, 269, 3503, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 634, 27067, 540, 519, 5564, 3363, 543, 4706, 10020, 538, 1763, 12371, 12832, 31804, 10224, 8191, 23540, 692, 1103, 713, 1576, 1770, 267, 649, 5490, 883, 519, 1523, 540, 519, 834, 342, 529, 3256, 540, 519, 21318, 257, 543, 2263, 875, 621, 666, 4196, 607, 513, 3532, 1907, 1996, 28974, 20816, 267, 1210, 519, 2013, 1353, 540, 12832, 31804, 7699, 269, 1284, 2253, 676, 6313, 519, 8129, 540, 713, 2856, 267, 799, 4266, 1394, 547, 3504, 10255, 543, 723, 1044, 2919, 2390, 676, 2413, 2797, 15806, 899, 9473, 528, 322, 564, 269, 1284, 1287, 5659, 875, 7104, 4987, 543, 3375, 6194, 666, 4161, 28974, 4341, 267, 5373, 4296, 1063, 3069, 543, 2259, 998, 1483, 8996, 1806, 689, 4207, 12832, 31804, 7699, 269, 14936, 267, 649, 1865, 1761, 2994, 585, 19713, 519, 1379, 540, 519, 21318, 538, 1931, 547, 3895, 9111, 543, 5706, 28974, 21274, 780, 272, 269, 17959, 540, 519, 27067, 540, 519, 5564, 3363, 692, 4263, 922, 4295, 267, 519, 7326, 540, 519, 21318, 4016, 547, 519, 10206, 602, 1804, 2516, 540, 1004, 267, 950, 2324, 15217, 267, 666, 1118, 1732, 3664, 982, 1507, 16918, 2516, 267, 1256, 952, 1367, 2818, 616, 1447, 5827, 269, 901, 2856, 729, 1101, 6069, 676, 5259, 14544, 17127, 267, 945, 11130, 602, 834, 527, 568, 2009, 602, 519, 1082, 267, 1498, 711, 14350, 1434, 2367, 267, 2943, 950, 789, 2097, 1927, 949, 581, 1732, 267, 711, 14350, 855, 15217, 1701, 630, 288, 2077, 13444, 267, 15348, 2020, 17457, 2797, 3744, 723, 2417, 15568, 713, 1523, 267, 1034, 16113, 3057, 638, 529, 632, 9473, 528, 322, 564, 267, 513, 3943, 22301, 543, 14544, 269, 3571, 21139, 11532, 29102, 602, 607, 1279, 607, 1142, 4759, 540, 513, 1895, 814, 513, 5506, 3152, 982, 476, 271, 269, 276, 540, 1818, 513, 2953, 3375, 267, 2810, 519, 1297, 540, 2043, 3238, 5012, 547, 513, 2362, 10171, 540, 8236, 519, 1318, 6364, 269, 1717, 267, 713, 17648, 602, 17037, 262, 5079, 616, 4830, 910, 513, 2783, 10355, 1558, 538, 4641, 780, 273, 269, 5668, 27701, 8191, 9107, 14329, 3414, 11814, 633, 11106, 692, 8624, 29193, 2962, 23185, 676, 3838, 1702, 543, 1344, 666, 3927, 25559, 28974, 20816, 269, 1879, 4961, 29050, 5531, 267, 1184, 267, 543, 22412, 622, 1239, 827, 2229, 3527, 543, 4507, 267, 789, 1711, 606, 4244, 2707, 540, 5168, 602, 14944, 1149, 4013, 6386, 269, 4317, 2923, 5867, 267, 20261, 8924, 267, 543, 824, 3059, 2645, 7520, 2792, 1851, 3309, 11051, 267, 7175, 873, 547, 11282, 3646, 543, 24244, 9739, 269, 1452, 5121, 849, 6536, 1565, 3255, 267, 3850, 5171, 547, 2087, 741, 2565, 3206, 1983, 543, 3986, 741, 2702, 547, 1118, 5483, 3664, 780, 288, 6305, 1383, 540, 713, 7613, 11200, 539, 1282, 12832, 31804, 7699, 781, 4989, 476, 1001, 279, 17600, 1996, 1514, 3354, 15024, 13684, 676, 5518, 12253, 2107, 974, 8615, 781, 12512, 269, 22893, 1031, 16389, 543, 1514, 2923, 547, 3561, 1480, 2924, 19374, 8149, 676, 1533, 4229, 543, 2671, 2963, 2861, 5359, 609, 3084, 543, 3486, 9458, 269, 1635, 4931, 28124, 2757, 3377, 9055, 6417, 676, 519, 2229, 267, 15628, 6707, 6534, 1065, 1833, 12485, 543, 21959, 1229, 7839, 1489, 585, 741, 2014, 780, 274, 269, 11150, 585, 4498, 1145, 532, 519, 5295, 540, 519, 5564, 3363, 18830, 8191, 23540, 692, 2414, 11694, 519, 1764, 540, 7104, 2962, 1996, 2278, 23540, 267, 1896, 1883, 2994, 1058, 581, 2808, 1384, 320, 264, 8490, 3376, 5755, 1431, 281, 1133, 1746, 1585, 9922, 540, 2486, 27137, 607, 3540, 2486, 3906, 267, 3909, 5238, 267, 4213, 267, 543, 24243, 1765, 560, 21880, 1492, 985, 4187, 5322, 676, 4129, 4328, 5380, 543, 9750, 3914, 269, 898, 849, 11942, 6043, 1996, 8954, 633, 12485, 6964, 676, 1313, 7095, 3401, 5275, 547, 14020, 11685, 16034, 780, 321, 264, 674, 29183, 5188, 543, 18064, 3130, 281, 18964, 1930, 5717, 2636, 4961, 547, 1451, 689, 835, 1776, 267, 5385, 2093, 267, 543, 1628, 13618, 1472, 3838, 3853, 269, 5548, 9200, 894, 3157, 666, 948, 7753, 26445 ]

[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1012, 13723, 267, 2904, 476, 1240, 267, 476, 1001, 272, 692, 2162, 5681, 1299, 8605, 10658, 14794, 692, 311, 543, 962, 616, 1079, 1114, 9981, 267, 3152, 982, 476, 272, 267, 609, 2040, 1447, 982, 476, 1911, 269, 590, 543, 623, 616, 1079, 22697, 282, 590, 6487, 519, 2040, 2473, 266, 312, 267, 623, 6487, 519, 1587, 2473, 265, 312, 267, 543, 1312, 917, 519, 1344, 538, 891, 1079, 5220, 269, 634, 1739, 6643, 4386, 780, 265, 623, 3081, 834, 296, 3112, 1265, 891, 2338, 4799, 265, 590, 3081, 834, 296, 729, 2386, 602, 596, 1223, 711, 1265, 873, 4799, 265, 623, 3081, 834, 10190, 267, 594, 1336, 891, 2338, 4799, 265, 590, 3081, 834, 2252, 596, 1223, 1265, 873, 267, 1287, 594, 849, 1336, 873, 3010, 1432, 616, 891, 2338, 888, 11405, 692, 763, 3070, 814, 2473, 543, 962, 607, 476, 275, 543, 476, 1724, 630, 528, 13030, 17930, 1070, 609, 623, 7620, 6616, 519, 1587, 568, 476, 7367, 543, 590, 6616, 519, 2040, 568, 476, 1704, 780, 22873, 6053, 623, 1281, 711, 917, 519, 3070, 267, 2094, 692, 7367, 815, 476, 275, 6398, 476, 1724, 815, 476, 273, 6398, 476, 2918, 692, 663, 590, 6487, 602, 623, 1281, 711, 917, 519, 3070, 2094, 782, 519, 2009, 18304, 547, 476, 1704, 1369, 519, 10148, 3132, 13974, 24813, 2472, 269, 1717, 267, 1142, 666, 960, 856, 519, 3070, 676, 14874, 824, 7399, 1739, 519, 824, 781, 6898, 543, 602, 568, 2614, 585, 519, 5467, 547, 1265, 519, 3070, 2016, 519, 10148, 269, 0, 258, 23664, 6975, 1109, 2862, 692, 2296, 1546, 28852, 454, 292, 8882, 6686, 15590, 2426, 454, 21158, 454, 12385, 3012, 1731, 454, 304, 3633, 292, 304, 454, 23945, 2426, 454, 10908, 1601, 541, 454, 22209, 19213, 331, 2426, 454, 3682, 339, 12111, 454, 9743, 718, 566, 454, 2304, 548, 527, 2426, 454, 288, 1380, 10402, 8421, 1731, 454, 7468, 7564, 323, 1731, 22760, 8421, 1731, 454, 304, 3633, 292, 304, 454, 3525, 592, 4813, 601, 1627, 3633, 292, 304, 7956, 454, 8722, 327, 2401, 454, 298, 2632, 752, 339, 454, 306, 14403, 777, 454, 3682, 339, 12111, 1315, 6751, 2862, 1627, 3633, 292, 304, 5336, 617, 592, 1315, 4813, 601, 692, 2080, 568, 606, 1101, 3801, 547, 6101, 1125, 513, 4542, 538, 519, 1627, 3633, 292, 304, 1893, 1384, 3499, 3201, 15771, 5723, 4953, 28701, 27835, 288, 3299, 1412, 289, 3299, 1412, 290, 3299, 10371, 267, 1412, 313, 3299, 1412, 271, 3299, 1412, 272, 3299, 1412, 273, 3299, 10371, 10086, 280, 3299, 1412, 263, 3299, 1412, 264, 262, 10926, 310, 3036, 9169, 28701, 2715, 630, 320, 318, 272, 267, 513, 318, 273, 267, 513, 318, 274, 267, 10371, 1421, 513, 5332, 264, 538, 9904, 18898, 267, 609, 562, 513, 2067, 454, 10831, 610, 476, 271, 10926, 266, 2433, 20796, 9169, 9847, 20796, 9169, 454, 5416, 318, 272, 267, 10371, 1421, 513, 5332, 1070, 630, 321, 318, 272, 267, 10371, 1421, 536, 8548, 264, 2433, 15010, 630, 320, 318, 272, 267, 10371, 1421, 513, 5332, 267, 536, 318, 272, 267, 10371, 1421, 536, 8548, 2020, 1492, 834, 24105, 2262, 257, 630, 271, 2389, 340, 921, 264, 568, 513, 9243, 3693, 540, 713, 5106, 563, 263, 3201, 15771, 5723, 4953, 267, 1341, 264, 814, 519, 15821, 2497, 540, 606, 1395, 1355, 454, 22607, 2788, 1895, 609, 9243, 3693, 552, 630, 1492, 476, 271, 2389, 340, 921, 4917, 553, 8912, 267, 519, 5106, 1341, 568, 6905, 547, 960, 593, 519, 454, 13607, 775, 1305, 540, 1913, 630, 604, 589, 15410, 540, 20796, 9169, 267, 645, 15410, 540, 20796, 9169, 2676, 6533, 589, 1341, 645, 28701, 2715, 513, 1341, 536, 1923, 513, 538, 589, 267, 536, 538, 645, 348, 2020, 2690, 513, 10156, 1603, 649, 2328, 834, 320, 1341, 645, 257, 476, 858, 649, 1611, 834, 346, 320, 348, 1341, 645, 257, 630, 5976, 454, 320, 3693, 689, 20796, 9169, 543, 645, 513, 15410, 689, 20796, 9169, 1040, 1323, 11530, 748, 649, 454, 31095, 834, 288, 1341, 536, 257, 476, 858, 649, 1611, 834, 288, 1341, 2715, 321, 348, 257, 630, 5976, 589, 513, 15410, 689, 20796, 9169, 543, 454, 321, 3693, 689, 20796, 9169, 6393, 9827, 585, 513, 10156, 1603, 834, 263, 2580, 834, 2437, 267, 834, 17983, 630, 5228, 8913, 1255, 264, 543, 834, 266, 257, 616, 454, 6866, 2854, 269, 661, 3052, 12727, 834, 29582, 257, 6763, 585, 834, 263, 320, 264, 1341, 630, 321, 264, 1341, 630, 322, 17983, 543, 454, 257, 5723, 257, 585, 834, 288, 1341, 645, 257, 630, 5976, 513, 267, 536, 267, 524, 2609, 689, 9338, 15771, 5723, 4953, 543, 589, 267, 645, 454, 11357, 338, 1115, 610, 2609, 689, 20796, 9169, 6393, 2171, 2161, 589, 568, 513, 834, 11357, 2262, 257, 540, 645, 267, 476, 858, 972, 616, 2609, 772, 267, 966, 540, 20796, 9169, 454, 810, 602, 645, 815, 772, 16787, 780, 6016, 2209, 593, 5036, 540, 20796, 9169, 912, 257, 347, 257, 6763, 585, 606, 9769, 630, 28072, 814, 8766, 476, 273, 7440, 2676, 8882, 1460, 10035, 994, 288, 1923, 645, 28701, 2715, 320, 3693, 540, 589, 610, 3693, 689, 645, 8679, 257, 265, 257, 6763, 585, 606, 7368, 12136, 267, 519, 1297, 540, 891, 20825, 454, 322, 746, 581, 476, 271, 630, 821, 4661, 267, 2022, 25785, 10035, 994, 288, 265, 28701, 2715, 324, 267, 513, 267, 513, 320, 267, 513, 12711, 267, 513, 12711, 320, 267, 3267, 609, 513, 689, 589, 8679, 257, 14277, 834, 316, 257, 1796, 585, 606, 18593, 12136, 630, 821, 4661, 267, 840, 268, 543, 454, 14006, 25785, 10035, 994, 314, 288, 316, 28701, 2715, 324, 348, 9769, 589, 692, 21254, 5456, 3951, 28701, 1412, 272, 262, 347, 262, 273, 262, 347, 262, 274, 262, 347, 262, 275, 262, 347, 262, 276, 262, 347, 262, 277, 262, 347, 262, 278, 262, 347, 262, 279, 262, 347, 262, 280, 7055, 291, 5456, 3951, 28701, 1412, 271, 262, 347, 27020, 5456, 3951, 454, 301, 9331, 21612, 28701, 27020, 5456, 3951, 667, 5456, 3951, 20330, 306, 18510, 297, 17614, 318, 309, 2752, 296, 21764, 28701, 1412, 309, 2752, 3488, 715, 9331, 21612, 1412, 264, 7055, 11266, 3633, 2975, 12442, 318, 309, 2752, 296, 21764, 2433, 23751, 262, 11266, 3633, 309, 2752, 3488, 715, 9331, 21612, 22207, 3488, 590, 18510, 297, 17614, 318, 309, 2752, 296, 21764, 630, 12887, 590, 18510, 297, 17614, 318, 309, 2752, 296, 21764, 12684, 1412, 4297, 7055, 24165, 303, 5308, 296, 3582, 318, 309, 2752, 296, 21764, 28701, 1412, 24165, 303, 3488, 715, 9331, 21612, 1412, 264, 28847, 2969, 6865, 2975, 318, 19489, 300, 308, 6369, 28701, 11553, 3633, 2975, 12442, 318, 309, 2752, 296, 21764, 1923, 11550, 303, 5308, 296, 3582, 318, 309, 2752, 296, 21764, 692, 2171, 5581, 513, 1599, 834, 16451, 257, 543, 513, 1599, 834, 20129, 257, 602, 7851, 1169, 454, 2969, 6865, 2975, 318, 19489, 300, 308, 6369, 547, 513, 15410, 540, 590, 18510, 297, 17614, 318, 309, 2752, 296, 21764, 1384, 16451, 263, 2969, 6865, 2975, 318, 19489, 300, 308, 6369, 264, 9847, 590, 18510, 297, 17614, 318, 309, 2752, 296, 21764, 692, 4131, 674, 581, 538, 623, 6020, 10933, 318, 19489, 300, 308, 6369, 912, 16451, 263, 293, 264, 28701, 2715, 306, 1923, 590, 568, 1016, 2262, 540, 674, 543, 590, 568, 538, 454, 306, 18510, 297, 17614, 318, 309, 2752, 296, 21764, 8679, 20129, 263, 293, 264, 28701, 2715, 10926, 852, 649, 16571, 1947, 5581, 519, 15410, 540, 20796, 9169, 834, 19489, 300, 308, 6369, 257, 543, 8831, 454, 1492, 11890, 540, 834, 16451, 257, 543, 834, 20129, 257, 1384, 272, 269, 1169, 11083, 6865, 2975, 318, 19489, 300, 308, 6369, 568, 513, 11123, 300, 308, 6369, 692, 273, 269, 952, 674, 568, 538, 11123, 300, 308, 6369, 267, 1287, 454, 262, 27237, 3488, 674, 1412, 264, 262, 568, 849, 538, 11123, 300, 308, 6369, 543, 649, 5581, 454, 16451, 3488, 27237, 3488, 674, 1412, 264, 10807, 28701, 1863, 263, 293, 994, 20129, 3488, 27237, 3488, 674, 1412, 264, 10807, 28701, 3808, 263, 293, 2020, 274, 269, 952, 674, 543, 717, 616, 538, 11123, 300, 308, 6369, 267, 1863, 263, 293, 264, 543, 3808, 31855, 264, 723, 606, 8900, 454, 5793, 7611, 267, 3808, 263, 293, 264, 543, 1863, 31855, 264, 723, 606, 8900, 10167, 2676, 6533, 519, 1739, 1913, 616, 849, 538, 11123, 300, 308, 6369, 912, 262, 13263, 3488, 674, 1412, 10086, 717, 1412, 264, 7055, 262, 3036, 3488, 674, 1412, 10086, 717, 1412, 264, 7055, 262, 296, 6573, 299, 3488, 674, 1412, 10086, 717, 1412, 264, 7055, 262, 292, 12702, 296, 3488, 674, 1412, 10086, 717, 1412, 264, 7055, 4131, 670, 581, 835, 540, 891, 1007, 2609, 267, 1287, 649, 5581, 912, 16451, 263, 295, 264, 28701, 1863, 263, 295, 264, 9769, 1863, 31855, 994, 20129, 263, 295, 264, 28701, 3808, 263, 295, 264, 9769, 3808, 31855, 2020, 275, 269, 952, 674, 568, 538, 11123, 300, 308, 6369, 267, 543, 2473, 568, 538, 590, 18510, 297, 17614, 318, 309, 2752, 296, 21764, 609, 1535, 538, 454, 16451, 11583, 1070, 1287, 519, 1739, 1913, 616, 849, 538, 11123, 300, 308, 6369, 912, 262, 19489, 17920, 3488, 1535, 1412, 10086, 535, 1412, 264, 7055, 262, 13052, 3041, 4811, 3488, 1535, 1412, 10086, 535, 1412, 264, 7055, 4131, 554, 581, 835, 540, 891, 1007, 4542, 267, 1287, 649, 5581, 912, 16451, 22607, 264, 28701, 1863, 6600, 264, 14263, 2715, 343, 8679, 20129, 22607, 264, 28701, 3808, 6600, 264, 9769, 2715, 343, 10926, 7884, 26303, 476, 3192, 271, 268, 4905, 268, 4905, 476, 4905, 281, 876, 281, 876, 266, 18089, 271, 0, 258, 1215, 519, 13095, 1091, 540, 12736, 940, 513, 6215, 582, 3657, 6726, 730, 692, 306, 14309, 6191, 616, 513, 1106, 540, 13989, 602, 568, 1336, 538, 8732, 16394, 543, 824, 2010, 540, 13989, 28503, 269, 1452, 3756, 616, 513, 2603, 540, 1187, 543, 666, 849, 581, 513, 1390, 1259, 547, 7118, 930, 6666, 269, 1717, 267, 789, 616, 513, 3014, 540, 4960, 267, 543, 621, 779, 1271, 547, 1174, 875, 789, 960, 1354, 596, 1376, 4730, 780, 763, 12918, 540, 10888, 593, 513, 18921, 616, 7229, 1210, 519, 2596, 6128, 3297, 5506, 269, 1452, 12918, 616, 2653, 547, 5173, 267, 855, 789, 666, 581, 14845, 952, 596, 2461, 1007, 547, 27061, 269, 901, 2376, 786, 948, 596, 1451, 811, 827, 891, 12918, 543, 875, 547, 1118, 519, 1034, 540, 873, 780, 23536, 1464, 1031, 547, 581, 2241, 267, 855, 609, 519, 4473, 540, 1528, 4435, 22817, 18921, 6191, 543, 3381, 27061, 267, 621, 2968, 1454, 811, 7294, 269, 589, 18921, 3684, 779, 12918, 616, 7229, 676, 513, 4351, 1297, 11718, 630, 305, 7582, 264, 543, 1759, 593, 519, 2628, 14456, 540, 519, 1808, 3684, 596, 2461, 4730, 780, 2791, 666, 1265, 519, 681, 7582, 593, 1034, 18921, 6191, 538, 606, 1858, 2630, 519, 556, 1564, 269, 634, 681, 7582, 568, 513, 2780, 1982, 602, 568, 3743, 585, 519, 12918, 540, 10888, 593, 1142, 8095, 780, 763, 681, 7582, 1568, 676, 10451, 1614, 5991, 3784, 9696, 602, 616, 1287, 1031, 547, 3313, 707, 7222, 556, 601, 4087, 269, 1452, 616, 2356, 3833, 1804, 2338, 267, 855, 519, 681, 7582, 666, 581, 14661, 547, 3132, 4130, 610, 3677, 2338, 780, 4322, 9696, 616, 1287, 25528, 5196, 519, 556, 1564, 676, 519, 3684, 779, 4835, 5311, 3349, 269, 634, 681, 7582, 786, 1287, 946, 602, 5311, 547, 3313, 799, 3090, 1058, 2408, 593, 519, 18921, 556, 601, 1985, 267, 543, 713, 786, 9594, 519, 2628, 719, 540, 519, 3094, 780, 2971, 1215, 547, 1224, 519, 2628, 14456, 593, 513, 18921, 692, 2691, 596, 2461, 4730, 513, 18921, 267, 596, 1058, 2141, 581, 3168, 585, 513, 2143, 2628, 14456, 602, 6941, 1018, 6698, 596, 666, 2503, 547, 1294, 543, 875, 1454, 596, 666, 3094, 689, 1142, 3090, 269, 1411, 1058, 849, 581, 2111, 547, 1265, 1344, 827, 1022, 2027, 6698, 602, 519, 18921, 3091, 267, 1519, 3552, 338, 543, 1085, 520, 1562, 780, 27039, 593, 519, 1826, 540, 18921, 596, 2461, 4730, 267, 596, 949, 581, 2111, 547, 1265, 513, 2628, 14456, 602, 8638, 519, 3328, 2132, 540, 519, 3014, 269, 901, 568, 513, 1434, 13525, 540, 2436, 610, 711, 519, 18921, 814, 1164, 610, 1970, 25359, 780, 288, 1970, 13065, 18921, 786, 581, 1447, 2693, 547, 2628, 856, 2462, 5666, 267, 855, 621, 786, 849, 723, 513, 2539, 4960, 540, 9561, 2724, 269, 2201, 519, 824, 1688, 267, 513, 18921, 609, 513, 1164 ]

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