Datasets:
SmallDoge
/
decay_dataset_processed

Dataset card Data Studio Files
xet
Community
1
Search is not available for this dataset
input_ids
listlengths
1
2.05k
attention_mask
listlengths
1
2.05k
[ 0, 258, 14581, 6435, 281, 12430, 1599, 1966, 4244, 3070, 692, 272, 269, 9484, 476, 273, 267, 476, 1001, 275, 692, 2162, 25351, 8595, 692, 20756, 2336, 296, 993, 10478, 585, 606, 4244, 1259, 547, 4194, 713, 1966, 454, 272, 269, 634, 1966, 454, 2690, 513, 5276, 535, 2863, 542, 1739, 10039, 912, 259, 325, 5416, 266, 272, 6661, 320, 266, 273, 14204, 2237, 519, 5276, 1599, 593, 519, 1269, 344, 284, 330, 343, 266, 332, 259, 1106, 692, 273, 269, 31999, 4834, 454, 259, 325, 5416, 266, 272, 6661, 320, 266, 273, 8607, 586, 284, 330, 343, 266, 332, 6911, 274, 269, 634, 3801, 454, 2080, 568, 875, 594, 12193, 519, 1966, 912, 259, 325, 5416, 266, 272, 6661, 330, 5416, 266, 272, 11924, 332, 8607, 737, 5416, 266, 272, 11924, 332, 815, 513, 266, 273, 8607, 737, 5416, 266, 272, 11924, 332, 815, 513, 266, 272, 266, 272, 8607, 737, 5416, 266, 272, 11924, 332, 815, 476, 272, 1422, 10383, 630, 320, 266, 272, 11924, 272, 14204, 16729, 3947, 1269, 330, 284, 272, 259, 543, 1269, 332, 284, 272, 10608, 901, 1797, 602, 519, 3830, 568, 912, 2330, 344, 24210, 266, 272, 9681, 12179, 2093, 593, 875, 594, 1223, 4194, 713, 8335, 2496, 273, 269, 9484, 476, 273, 267, 476, 1001, 275, 692, 2162, 2098, 1180, 27444, 692, 2005, 568, 4502, 711, 6005, 1269, 325, 263, 272, 264, 815, 476, 273, 267, 1422, 11898, 535, 263, 273, 264, 815, 476, 274, 267, 1422, 11898, 535, 263, 274, 264, 815, 476, 275, 267, 3267, 6911, 2791, 666, 3362, 1265, 519, 9386, 538, 713, 6073, 1384, 259, 332, 815, 1422, 2765, 3189, 18773, 586, 7346, 18773, 1535, 348, 815, 476, 272, 6911, 10190, 1210, 1022, 835, 540, 1346, 2798, 267, 2161, 1269, 325, 263, 272, 264, 815, 476, 273, 8961, 596, 1265, 602, 1269, 344, 815, 544, 343, 1341, 536, 1422, 23976, 536, 815, 476, 272, 16859, 274, 269, 9484, 476, 273, 267, 476, 1001, 275, 692, 2162, 14105, 966, 6506, 517, 692, 28074, 18334, 281, 585, 1022, 2016, 1269, 343, 259, 1577, 1269, 320, 815, 1535, 266, 272, 10608, 3973, 519, 3830, 3081, 1269, 325, 3287, 264, 815, 1535, 266, 272, 16859, 275, 269, 9484, 476, 273, 267, 476, 1001, 275, 692, 2162, 25351, 8595, 692, 31800, 1695, 602, 606, 4244, 1932, 269, 8729, 585, 519, 6085, 2433, 2020, 276, 269, 9484, 476, 273, 267, 476, 1001, 275, 692, 2162, 25351, 8595, 692, 14188, 596, 585, 519, 6085, 780, 2710, 596, 1611, 899, 602, 1384, 259, 325, 9230, 343, 266, 272, 11924, 272, 6661, 263, 343, 266, 272, 11924, 273, 6911, 2496, 2252, 9811, 267, 1018, 338, 568, 519, 1985, 1900, 2496, 277, 269, 9484, 476, 273, 267, 476, 1001, 275, 692, 2162, 14105, 966, 6506, 517, 692, 28989, 281, 972, 729, 513, 1462, 334, 538, 1250, 2022, 269, 898, 1058, 723, 1767, 602, 585, 1022, 2016, 1269, 343, 8961, 1577, 1269, 320, 815, 1535, 268, 272, 10608, 2334, 3947, 1269, 325, 3287, 264, 815, 1535, 266, 272, 10608, 4595, 713, 6585, 585, 1022, 1269, 343, 259, 602, 781, 621, 281, 972, 568, 1100, 811, 547, 581, 2944, 269, 0, 1012, 11728, 267, 476, 1240, 5147, 476, 1001, 277, 692, 2162, 13957, 4147, 281, 10829, 13658, 692, 272, 6993, 10612, 666, 8900, 513, 7382, 538, 476, 2412, 3764, 269, 589, 2034, 10612, 609, 8006, 7466, 1454, 607, 602, 540, 519, 1101, 568, 849, 7923, 609, 519, 7382, 547, 8900, 621, 269, 634, 1079, 1927, 666, 8900, 519, 7382, 538, 912, 5416, 264, 279, 269, 276, 3764, 454, 6357, 264, 1724, 269, 3451, 3764, 454, 6262, 264, 1789, 3764, 454, 5560, 264, 279, 3764, 454, 16216, 264, 14085, 540, 891, 692, 273, 6993, 666, 798, 476, 272, 270, 273, 540, 513, 4062, 540, 960, 538, 476, 276, 2395, 269, 645, 666, 798, 476, 274, 270, 276, 540, 519, 1482, 960, 538, 476, 280, 2395, 543, 595, 666, 798, 476, 273, 270, 274, 540, 602, 960, 538, 476, 279, 2395, 269, 769, 875, 1082, 2395, 666, 1614, 540, 873, 1927, 798, 519, 960, 888, 5416, 264, 274, 454, 6357, 264, 276, 454, 6262, 264, 275, 269, 276, 454, 5560, 264, 275, 454, 16216, 264, 14085, 540, 891, 692, 274, 28560, 519, 6825, 3902, 540, 476, 1789, 4930, 568, 3160, 547, 9513, 3902, 540, 476, 2412, 4930, 267, 1287, 1265, 519, 4939, 10958, 888, 5416, 264, 1839, 14999, 6357, 264, 3451, 269, 3451, 14999, 6262, 264, 4037, 14999, 5560, 264, 476, 736, 14999, 16216, 264, 14085, 540, 891, 692, 275, 7868, 3259, 540, 835, 2427, 540, 513, 32077, 639, 568, 476, 277, 269, 276, 4699, 543, 922, 15820, 568, 476, 1015, 4699, 269, 1403, 519, 3259, 540, 922, 835, 15497, 568, 476, 2918, 4699, 267, 519, 3259, 540, 519, 824, 15497, 786, 581, 912, 5416, 264, 276, 4699, 454, 6357, 264, 277, 269, 276, 4699, 454, 6262, 264, 1015, 4699, 454, 5560, 264, 2918, 4699, 454, 16216, 264, 14085, 540, 891, 692, 276, 7868, 3328, 2085, 540, 476, 1789, 8695, 538, 513, 1362, 568, 476, 1428, 13012, 269, 2290, 7911, 267, 9907, 476, 736, 1296, 267, 2451, 519, 1362, 267, 855, 1079, 1007, 8695, 2097, 538, 1010, 1747, 4171, 6502, 8428, 676, 476, 276, 1296, 269, 1403, 519, 3328, 2085, 540, 782, 519, 8695, 1631, 538, 519, 1362, 3587, 476, 1428, 1296, 267, 519, 2085, 540, 519, 7820, 1007, 635, 518, 568, 912, 5416, 264, 736, 1032, 454, 6357, 264, 1428, 1032, 454, 6262, 264, 2412, 1032, 454, 5560, 264, 279, 1032, 454, 16216, 264, 14085, 540, 891, 692, 277, 7868, 2127, 540, 1079, 2147, 12730, 616, 476, 10037, 4699, 273, 543, 476, 5392, 4699, 273, 6606, 269, 634, 5223, 540, 741, 7222, 15627, 568, 912, 5416, 264, 280, 2433, 476, 278, 454, 6357, 264, 278, 2433, 476, 274, 454, 6262, 264, 274, 2433, 476, 278, 454, 5560, 264, 10037, 2433, 5392, 454, 16216, 264, 14085, 540, 891, 692, 278, 28560, 513, 2433, 536, 815, 476, 273, 2433, 476, 274, 543, 536, 2433, 524, 815, 476, 275, 2433, 476, 276, 267, 1265, 513, 317, 273, 2433, 536, 317, 273, 2433, 524, 317, 273, 15017, 5416, 264, 275, 2433, 476, 280, 2433, 476, 3393, 454, 6357, 264, 1626, 2433, 476, 3607, 2433, 476, 3393, 454, 6262, 264, 1626, 2433, 476, 3607, 2433, 476, 736, 454, 5560, 264, 275, 2433, 476, 3607, 2433, 476, 2412, 454, 16216, 264, 14085, 540, 891, 692, 279, 6993, 31066, 2709, 513, 10958, 540, 476, 1015, 260, 593, 519, 6825, 3902, 540, 606, 2376, 543, 1869, 2306, 513, 7443, 540, 476, 736, 10065, 1403, 922, 6825, 3902, 568, 12652, 269, 476, 8517, 267, 1287, 519, 1942, 3902, 540, 519, 2376, 568, 912, 5416, 264, 20745, 269, 12010, 454, 6357, 264, 20745, 269, 8517, 454, 6262, 264, 20745, 269, 10384, 454, 5560, 264, 20745, 269, 7785, 454, 16216, 264, 14085, 540, 891, 692, 280, 7868, 19206, 540, 1079, 8280, 7371, 17202, 8043, 616, 476, 277, 269, 275, 30184, 543, 476, 2641, 269, 277, 30184, 269, 634, 5223, 540, 741, 6418, 2234, 4512, 568, 454, 5416, 264, 476, 275, 2433, 476, 280, 454, 6357, 264, 476, 1626, 2433, 476, 10037, 454, 6262, 264, 20734, 273, 281, 18414, 274, 454, 5560, 264, 476, 273, 2433, 476, 274, 454, 16216, 264, 7183, 540, 891, 692, 1015, 10422, 6559, 589, 4805, 666, 6445, 513, 7382, 538, 476, 279, 3108, 269, 623, 6559, 645, 4805, 666, 6445, 621, 538, 476, 277, 3108, 269, 1403, 1312, 519, 12992, 616, 8118, 543, 1310, 476, 273, 3108, 267, 10612, 589, 568, 6806, 267, 1287, 519, 824, 10612, 786, 6445, 519, 7382, 538, 454, 5416, 264, 476, 277, 3108, 454, 6357, 264, 476, 274, 269, 276, 3108, 454, 6262, 264, 476, 275, 3108, 454, 5560, 264, 476, 273, 269, 276, 3108, 454, 16216, 264, 7183, 540, 891, 0, 258, 1975, 976, 518, 19072, 2292, 692, 13706, 513, 476, 272, 267, 1822, 267, 1822, 2508, 609, 513, 476, 1015, 260, 5993, 9053, 2132, 543, 513, 7858, 7007, 476, 3583, 270, 1789, 8237, 1063, 519, 2724, 543, 519, 13384, 528, 269, 14597, 519, 2508, 1274, 985, 513, 476, 1428, 260, 2132, 269, 634, 7671, 514, 8750, 814, 8329, 513, 269, 7671, 514, 8750, 815, 476, 3445, 267, 1822, 282, 13384, 528, 815, 476, 2568, 267, 1822, 536, 269, 7671, 514, 8750, 815, 476, 11463, 267, 4335, 282, 13384, 528, 815, 8096, 4649, 267, 4335, 524, 269, 7671, 514, 8750, 815, 8096, 1911, 267, 1822, 282, 13384, 528, 815, 8096, 2004, 267, 1822, 546, 269, 7671, 514, 8750, 815, 8096, 5611, 267, 1822, 282, 13384, 528, 815, 8096, 271, 594, 917, 713, 2243, 568, 2653, 269, 772, 653, 1069, 1046, 568, 711, 2324, 585, 803, 547, 1451, 519, 4542, 1498, 780, 272, 6145, 692, 6518, 1433, 270, 2457, 568, 713, 593, 5889, 11366, 22935, 692, 272, 6145, 692, 20091, 476, 1240, 267, 29486, 476, 274, 268, 277, 594, 1589, 780, 272, 6145, 692, 763, 2508, 12236, 476, 1428, 260, 815, 8096, 5611, 267, 1822, 16265, 847, 856, 519, 476, 1015, 260, 2776, 325, 4825, 815, 630, 15478, 5611, 267, 1822, 910, 8096, 1428, 267, 1822, 264, 815, 8096, 13670, 267, 1822, 15284, 8750, 5889, 23717, 338, 9523, 568, 815, 8096, 13670, 267, 1822, 29688, 3583, 815, 8096, 11463, 267, 4335, 1975, 976, 528, 5889, 23717, 338, 9523, 568, 815, 630, 15478, 13670, 267, 1822, 29688, 1789, 264, 1341, 8096, 1428, 267, 1822, 2776, 325, 4825, 815, 8096, 4649, 267, 4335, 692, 272, 6145, 692, 763, 1657, 3070, 3357, 689, 606, 4244, 1216, 6420, 2497, 281, 1975, 976, 528, 281, 8096, 1911, 267, 1822, 1535, 476, 271, 269, 278, 1341, 476, 2004, 267, 1822, 1535, 476, 271, 269, 278, 1535, 476, 271, 269, 278, 815, 476, 11463, 267, 4335, 7767, 528, 281, 8096, 1911, 267, 1822, 1535, 476, 271, 269, 274, 1341, 630, 2004, 267, 1822, 1535, 476, 271, 269, 274, 1341, 476, 2004, 267, 1822, 1535, 476, 271, 269, 278, 1535, 476, 271, 269, 274, 264, 815, 476, 4649, 267, 4335, 634, 2243, 3085, 5889, 23717, 339, 1683, 2614, 1344, 269, 1280, 1383, 267, 538, 519, 1455, 1216, 6420, 2497, 267, 824, 982, 519, 8237, 540, 476, 1789, 270, 3583, 260, 1063, 2508, 13384, 528, 543, 2724, 267, 621, 849, 3340, 3312, 4939, 540, 9698, 9295, 1063, 3544, 20090, 630, 15905, 4891, 264, 543, 13384, 528, 630, 2102, 1968, 4891, 1040, 9122, 593, 519, 5576, 342, 525, 518, 1570, 267, 519, 9053, 2132, 568, 519, 19224, 548, 2557, 2877, 547, 581, 25295, 538, 1931, 585, 13384, 528, 547, 1303, 1856, 519, 3063, 476, 1789, 260, 689, 519, 8096, 5611, 267, 1822, 1354, 519, 1964, 630, 15478, 10755, 267, 1822, 910, 476, 3583, 260, 540, 7443, 264, 8237, 1063, 9520, 543, 13384, 528, 1759, 593, 519, 4939, 540, 3312, 3854, 8329, 269, 769, 519, 2243, 1657, 267, 621, 3085, 5889, 23717, 339, 2285, 713, 1344, 269, 1924, 621, 568, 10924, 547, 581, 476, 3583, 270, 1789, 260, 849, 269, 634, 13384, 528, 4607, 1496, 15478, 5611, 267, 1822, 1535, 476, 271, 269, 274, 1341, 8096, 5611, 267, 1822, 1535, 476, 271, 269, 278, 1535, 476, 271, 269, 274, 316, 815, 476, 10602, 267, 4335, 543, 519, 20090, 4607, 1496, 15478, 5611, 267, 1822, 1535, 630, 272, 268, 271, 269, 274, 264, 1535, 476, 271, 269, 278, 316, 815, 476, 10463, 267, 4335, 269, 9046, 609, 713, 2243, 281, 476, 272, 269, 1100, 4939, 540, 3312, 9698, 9295, 476, 273, 269, 476, 1789, 270, 3583, 568, 1360, 1164, 585, 519, 2508, 13384, 528, 476, 274, 269, 1216, 6420, 2497, 568, 711, 2016, 692, 272, 6145, 0, 1607, 3135, 3096, 12897, 269, 1635, 11173, 547, 19584, 519, 10417, 19352, 3135, 596, 616, 3858, 532, 547, 938, 2422, 540, 13505, 13648, 625, 780, 258, 14572, 13392, 3830, 5690, 910, 10046, 24577, 692, 1012, 14572, 13392, 3830, 5690, 910, 10046, 24577, 692, 24281, 10026, 7223, 267, 513, 13392, 3830, 630, 5228, 519, 5824, 9076, 9850, 585, 834, 338, 13645, 8442, 568, 1022, 3830, 2348, 519, 1106, 454, 1314, 317, 273, 17070, 343, 25239, 284, 271, 454, 3602, 1535, 4564, 606, 7164, 267, 543, 513, 267, 536, 267, 543, 524, 616, 21635, 609, 513, 711, 3160, 547, 476, 271, 269, 1403, 513, 815, 476, 271, 267, 1287, 519, 3830, 568, 5276, 267, 711, 13392, 269, 634, 21635, 513, 267, 536, 267, 543, 524, 616, 1572, 267, 6606, 267, 519, 13392, 11664, 267, 519, 5276, 11664, 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 ]
[ 262, 516, 1663, 262, 2187, 2018, 2132, 882, 340, 18750, 994, 1038, 952, 630, 716, 10675, 2652, 1412, 704, 1061, 1258, 262, 2187, 2018, 1990, 318, 815, 476, 272, 265, 345, 454, 2018, 1990, 318, 314, 345, 318, 285, 271, 316, 815, 476, 272, 454, 2018, 1990, 318, 314, 345, 318, 27045, 271, 316, 815, 476, 271, 454, 2018, 2132, 1990, 29390, 825, 1219, 3541, 328, 6958, 18750, 2187, 1038, 952, 630, 716, 10675, 2652, 1412, 7809, 15200, 262, 2187, 2018, 2132, 521, 31451, 8987, 345, 994, 1038, 952, 630, 716, 10675, 2652, 1412, 516, 1663, 262, 2187, 2018, 1990, 318, 815, 476, 272, 2608, 1990, 454, 2018, 1990, 318, 314, 345, 318, 285, 271, 316, 815, 476, 272, 454, 2018, 1990, 318, 314, 345, 318, 27045, 271, 316, 815, 476, 271, 454, 2018, 2132, 1990, 29390, 1038, 952, 630, 716, 10675, 2652, 1412, 704, 1061, 1258, 262, 2187, 2018, 2132, 476, 272, 28329, 825, 1948, 19461, 1125, 9936, 454, 825, 544, 815, 2473, 17482, 314, 272, 2639, 825, 4494, 815, 476, 272, 2608, 6456, 9078, 9707, 454, 825, 4494, 6910, 263, 272, 994, 825, 4494, 19571, 815, 7003, 10857, 9707, 9984, 272, 454, 825, 513, 8217, 815, 32582, 3097, 825, 513, 8217, 6910, 11583, 264, 8931, 825, 1990, 8217, 815, 32582, 3097, 258, 672, 1820, 2891, 331, 9707, 1003, 281, 14307, 331, 9707, 19571, 994, 8931, 825, 1948, 28644, 3097, 258, 672, 1820, 2891, 2690, 1189, 5153, 5602, 825, 585, 1775, 538, 2039, 263, 271, 267, 331, 9707, 19571, 1341, 272, 2187, 258, 1363, 1820, 3488, 328, 281, 22207, 328, 994, 1038, 1990, 815, 630, 12639, 31715, 26028, 5157, 4940, 307, 28083, 8217, 5157, 8079, 1341, 536, 5157, 8079, 567, 692, 1038, 1990, 8217, 6910, 18750, 264, 11434, 454, 258, 1363, 513, 815, 882, 340, 18750, 994, 258, 1363, 513, 815, 2571, 15200, 18750, 994, 1038, 513, 815, 19334, 6958, 18750, 994, 1038, 513, 8217, 6910, 5416, 994, 8931, 258, 1363, 1820, 3488, 320, 693, 4494, 22207, 263, 328, 266, 272, 1070, 262, 568, 281, 22207, 320, 8217, 5157, 7481, 258, 1363, 1820, 3488, 342, 693, 4494, 22207, 263, 328, 266, 272, 1070, 262, 568, 281, 22207, 342, 5157, 7481, 258, 1363, 1820, 3488, 321, 693, 4494, 22207, 263, 328, 266, 272, 1070, 262, 568, 281, 22207, 321, 5157, 8079, 8931, 258, 1363, 1820, 3488, 345, 693, 4494, 22207, 263, 328, 266, 272, 1070, 262, 568, 281, 22207, 345, 994, 8931, 825, 589, 815, 513, 8217, 314, 331, 9707, 19571, 266, 272, 2639, 258, 672, 1820, 3488, 288, 281, 22207, 288, 994, 258, 672, 1942, 815, 910, 5286, 27904, 263, 312, 2608, 5286, 28802, 10490, 264, 1341, 630, 272, 25286, 264, 2608, 5286, 28802, 263, 272, 5025, 4297, 1315, 544, 476, 1948, 12337, 1942, 454, 825, 1942, 815, 476, 5286, 27904, 18828, 4732, 13645, 263, 312, 910, 589, 4297, 1315, 630, 273, 265, 332, 994, 258, 672, 1820, 3488, 322, 739, 281, 22207, 322, 739, 994, 8931, 825, 1948, 7982, 18640, 825, 454, 258, 672, 1820, 2891, 12988, 1189, 1900, 5602, 825, 546, 342, 8217, 815, 32582, 8931, 825, 546, 345, 8217, 815, 1496, 14085, 316, 2608, 630, 331, 9707, 19571, 266, 272, 994, 825, 1990, 815, 1990, 8217, 314, 331, 9707, 19571, 2639, 258, 672, 546, 345, 815, 5286, 27904, 10490, 910, 962, 264, 2608, 882, 340, 318, 1372, 18750, 994, 825, 546, 345, 815, 5286, 27904, 10490, 910, 962, 264, 2608, 3541, 328, 6958, 18750, 264, 1315, 544, 454, 258, 672, 1820, 10490, 994, 258, 672, 1820, 263, 312, 994, 258, 672, 1820, 2891, 288, 25286, 815, 14307, 288, 25286, 994, 258, 672, 1820, 2891, 6767, 7933, 345, 815, 2580, 338, 31451, 8987, 345, 4917, 258, 672, 546, 345, 815, 11196, 312, 21669, 8217, 314, 331, 9707, 19571, 316, 1341, 630, 272, 25286, 264, 1315, 630, 272, 910, 513, 8217, 314, 331, 9707, 19571, 316, 4297, 1315, 5286, 269, 10339, 263, 312, 994, 8931, 258, 1948, 672, 546, 345, 815, 11196, 312, 21669, 8217, 314, 331, 9707, 19571, 316, 1341, 630, 272, 25286, 264, 1315, 630, 272, 910, 513, 8217, 314, 331, 9707, 19571, 316, 4297, 2608, 962, 454, 825, 546, 345, 8217, 314, 331, 9707, 19571, 316, 815, 546, 345, 454, 825, 585, 1775, 538, 2039, 10857, 9707, 19571, 16427, 272, 16427, 272, 2187, 1038, 546, 342, 815, 5286, 31715, 5416, 8217, 5157, 3910, 323, 345, 8217, 5157, 4940, 307, 264, 1315, 544, 454, 258, 1363, 1948, 546, 342, 314, 271, 316, 815, 2473, 11053, 2608, 546, 345, 314, 271, 316, 910, 630, 333, 31599, 264, 2608, 630, 274, 31599, 1040, 307, 815, 630, 1015, 267, 274, 994, 1038, 24563, 815, 5286, 27904, 5560, 345, 8217, 5157, 8079, 1315, 544, 3097, 8931, 258, 1363, 1820, 2891, 323, 345, 693, 4494, 14307, 263, 328, 266, 272, 1070, 262, 568, 281, 22207, 323, 345, 8217, 5157, 7481, 258, 1363, 1820, 2891, 323, 342, 693, 4494, 14307, 263, 328, 266, 272, 1070, 262, 568, 281, 22207, 323, 342, 994, 258, 1363, 1820, 2891, 27219, 693, 4494, 14307, 263, 328, 266, 272, 1070, 262, 568, 281, 22207, 27219, 994, 1038, 530, 5157, 316, 815, 530, 5157, 316, 910, 1565, 318, 3433, 2608, 546, 342, 454, 1038, 536, 5157, 316, 815, 536, 5157, 316, 910, 1565, 318, 3433, 2608, 24563, 454, 1038, 952, 630, 328, 11203, 476, 271, 2187, 258, 17264, 546, 345, 5157, 268, 272, 316, 815, 5286, 31715, 5560, 345, 5157, 3910, 530, 5157, 4940, 307, 264, 1315, 5286, 269, 10339, 5416, 5157, 7481, 258, 17264, 546, 345, 8217, 5157, 268, 272, 316, 815, 5286, 31715, 26028, 5157, 3910, 323, 345, 8217, 5157, 8079, 2608, 882, 340, 318, 1372, 5416, 8217, 5157, 7481, 2018, 546, 345, 8217, 5157, 268, 272, 316, 815, 5286, 31715, 26028, 5157, 3910, 323, 345, 8217, 5157, 8079, 2608, 3541, 328, 6958, 5416, 8217, 5157, 8079, 1315, 544, 454, 258, 672, 1820, 3488, 320, 1592, 281, 22207, 320, 8217, 994, 258, 672, 1820, 3488, 323, 345, 1592, 281, 22207, 323, 345, 8217, 994, 825, 2132, 1496, 322, 739, 267, 342, 14720, 2639, 28768, 258, 2637, 4733, 3403, 454, 314, 311, 267, 312, 316, 815, 5352, 17750, 263, 1911, 2020, 327, 5200, 9078, 9707, 815, 11713, 314, 342, 14720, 316, 815, 703, 658, 1125, 11583, 267, 327, 5200, 9078, 9707, 2020, 314, 342, 14720, 316, 815, 703, 658, 1125, 11583, 267, 327, 5200, 9078, 9707, 994, 14048, 318, 3433, 815, 476, 271, 269, 272, 454, 3438, 19571, 815, 476, 1911, 876, 454, 342, 318, 272, 815, 476, 272, 265, 342, 454, 321, 318, 272, 815, 476, 272, 265, 321, 454, 1721, 1775, 538, 2039, 263, 271, 267, 3438, 19571, 2187, 825, 19334, 815, 834, 516, 1663, 4840, 825, 1496, 322, 739, 267, 342, 318, 272, 14720, 318, 272, 316, 815, 29608, 26028, 318, 272, 14720, 318, 272, 267, 2473, 267, 962, 267, 327, 5200, 9078, 9707, 267, 14048, 318, 3433, 267, 716, 10675, 994, 825, 1820, 630, 322, 739, 994, 2745, 2891, 21798, 281, 14307, 322, 739, 264, 0, 5814, 4351, 454, 5814, 19523, 7531, 5035, 25300, 8368, 912, 825, 5727, 23911, 23840, 540, 11638, 2364, 894, 25300, 7305, 454, 825, 29185, 825, 1219, 6449, 8181, 9191, 1345, 267, 2450, 2187, 1038, 5727, 17746, 1192, 528, 540, 25300, 8368, 692, 1038, 1488, 7714, 912, 2018, 2450, 630, 842, 2567, 519, 2450, 540, 19474, 3349, 9112, 454, 1038, 8173, 13872, 1038, 1582, 4732, 7950, 815, 4351, 26509, 6134, 263, 271, 269, 276, 267, 476, 272, 269, 271, 994, 1038, 1582, 6155, 1112, 815, 9598, 4590, 1038, 1582, 6230, 815, 2450, 692, 825, 1219, 9041, 327, 1662, 293, 15635, 4311, 267, 1883, 2187, 1038, 29185, 1038, 1488, 7714, 912, 2018, 1883, 630, 842, 2567, 1883, 1354, 19474, 1599, 692, 1038, 16849, 912, 2018, 703, 281, 519, 1883, 547, 519, 19474, 3349, 454, 1038, 29185, 1038, 10917, 815, 1582, 4732, 7950, 2608, 1883, 454, 1038, 2132, 703, 4311, 6230, 2608, 630, 31184, 910, 703, 6025, 11391, 4297, 2020, 825, 1219, 7696, 4311, 267, 1883, 267, 1239, 2187, 1038, 5727, 11900, 1068, 513, 1883, 1673, 1092, 6292, 883, 519, 19474, 3349, 692, 1038, 1488, 7714, 912, 2018, 1883, 630, 314, 842, 316, 2567, 1883, 540, 1239, 17332, 454, 2018, 1239, 630, 341, 13895, 2567, 1239, 17332, 454, 1038, 29185, 1038, 1775, 815, 1582, 11519, 327, 1662, 293, 15635, 31107, 994, 1038, 1582, 6155, 1112, 5157, 316, 815, 1239, 692, 825, 1219, 4759, 4311, 267, 1883, 2187, 1038, 5727, 13425, 952, 519, 1883, 6818, 538, 19474, 3349, 692, 1038, 1488, 7714, 912, 2018, 1883, 630, 314, 842, 316, 2567, 1883, 547, 581, 13761, 692, 1038, 16849, 912, 2018, 1630, 18978, 281, 2436, 519, 1883, 6818, 538, 19474, 3349, 454, 1038, 29185, 1038, 2132, 1582, 6155, 1112, 10947, 4311, 11519, 327, 1662, 293, 15635, 31107, 4297, 568, 711, 7183, 692, 825, 1219, 23074, 4311, 267, 1883, 2187, 1038, 5727, 14303, 4471, 557, 1239, 689, 19474, 3349, 692, 1038, 1488, 7714, 912, 2018, 1883, 630, 842, 2567, 1883, 540, 1239, 27366, 692, 1038, 16849, 912, 2018, 1585, 281, 1239, 27366, 454, 1038, 29185, 1038, 2132, 1582, 6155, 1112, 10947, 4311, 11519, 327, 1662, 293, 15635, 31107, 11723, 258, 11711, 18452, 543, 2776, 15263, 454, 12803, 11243, 815, 19523, 27769, 341, 314, 272, 2639, 8999, 19368, 815, 703, 4433, 903, 27769, 341, 314, 273, 7481, 5976, 1930, 31526, 11243, 267, 834, 337, 8442, 607, 535, 912, 825, 1543, 815, 535, 18667, 6050, 4590, 11907, 815, 1496, 842, 3287, 14714, 8692, 28829, 585, 1535, 538, 1543, 6540, 258, 10925, 782, 1239, 883, 513, 19474, 2389, 762, 2861, 24920, 454, 628, 2273, 19368, 815, 25300, 8368, 12759, 16597, 264, 2608, 4351, 27110, 263, 1911, 267, 476, 1911, 271, 4917, 1721, 1775, 538, 2039, 12759, 16597, 15892, 825, 3791, 19368, 27044, 16597, 5157, 3910, 6936, 2020, 258, 30770, 454, 17739, 13434, 867, 815, 1305, 3890, 1948, 634, 16680, 5590, 585, 4406, 573, 623, 4202, 454, 14310, 815, 476, 271, 1948, 634, 28088, 22388, 454, 1721, 1775, 538, 2039, 12759, 16597, 15892, 825, 585, 795, 538, 2039, 9217, 266, 272, 267, 7003, 16597, 15892, 1038, 886, 815, 2040, 19368, 910, 630, 11907, 5157, 316, 1341, 1239, 14728, 20285, 1038, 1948, 3680, 13660, 6473, 454, 1038, 952, 1239, 5157, 316, 2652, 1239, 14728, 316, 610, 1239, 5157, 316, 2652, 886, 610, 1239, 14728, 316, 2652, 886, 912, 2018, 3136, 692, 1038, 1948, 3680, 1234, 14092, 947, 454, 1038, 952, 1569, 13434, 867, 269, 1170, 1575, 619, 564, 263, 3553, 8443, 11907, 5157, 3910, 1239, 14728, 3910, 886, 8079, 2187, 2018, 3136, 692, 1038, 1948, 6744, 1403, 634, 30449, 1772, 4406, 573, 454, 1038, 952, 3791, 19368, 6230, 1897, 5560, 858, 2187, 2018, 1820, 2891, 263, 260, 323, 267, 4939, 323, 267, 4939, 323, 17983, 4939, 630, 11907, 5157, 3910, 1239, 14728, 3910, 886, 4917, 2018, 1267, 6834, 476, 272, 454, 2018, 1569, 13434, 867, 269, 26303, 263, 3553, 8443, 11907, 5157, 3910, 1239, 14728, 3910, 886, 8079, 2020, 258, 7797, 1403, 1703, 1772, 3143, 28088, 454, 604, 1267, 2652, 476, 271, 912, 825, 1820, 2891, 5591, 17784, 339, 8591, 909, 547, 4939, 323, 257, 4939, 2040, 19368, 264, 0, 454, 3698, 568, 318, 1910, 660, 1314, 263, 1410, 1440, 2187, 476, 2132, 1163, 337, 314, 271, 316, 538, 18358, 14433, 3299, 1412, 2280, 3299, 1412, 604, 3299, 1412, 16029, 262, 6540, 454, 3698, 859, 531, 318, 1910, 660, 1314, 263, 1410, 1440, 267, 26195, 2187, 476, 952, 1163, 337, 314, 271, 316, 2652, 1412, 14433, 12466, 825, 2132, 27835, 1173, 3701, 9166, 1410, 1440, 314, 272, 3910, 1412, 10339, 1833, 9166, 1410, 1440, 314, 273, 3910, 1412, 523, 341, 9166, 26195, 10926, 476, 952, 1163, 337, 314, 271, 316, 2652, 1412, 2280, 12466, 825, 1007, 318, 523, 341, 815, 9598, 17338, 263, 523, 341, 29096, 28829, 1341, 27883, 1410, 1440, 314, 272, 3910, 859, 531, 263, 1410, 1440, 314, 273, 3910, 26195, 4297, 7481, 825, 2132, 859, 531, 263, 1410, 1440, 314, 274, 3910, 1007, 318, 523, 341, 994, 22322, 476, 952, 1163, 337, 314, 271, 316, 2652, 1412, 604, 12466, 825, 2783, 815, 859, 531, 263, 1410, 1440, 314, 272, 3910, 26195, 994, 825, 952, 2783, 2652, 476, 272, 912, 8587, 2132, 859, 531, 263, 1410, 1440, 314, 273, 3910, 26195, 994, 825, 8640, 2783, 2652, 476, 271, 912, 8587, 2132, 859, 531, 263, 1410, 1440, 314, 274, 3910, 26195, 994, 825, 3116, 912, 8587, 1820, 3488, 19587, 17210, 476, 952, 1163, 337, 314, 271, 316 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 27387, 281, 6435, 15531, 6697, 4082, 692, 272, 269, 12361, 6435, 15531, 6697, 4082, 692, 17098, 16921, 267, 713, 568, 1250, 1101, 2022, 1934, 267, 855, 594, 723, 513, 4743, 594, 786, 581, 1394, 7168, 1419, 607, 594, 993, 4625, 4503, 950, 621, 2501, 547, 2979, 269, 9406, 1631, 594, 993, 1175, 4974, 1354, 594, 1256, 1491, 1250, 13307, 1449, 585, 2852, 267, 1317, 594, 1810, 1405, 8209, 1616, 547, 581, 4625, 804, 3241, 612, 1256, 585, 513, 13307, 1449, 780, 12179, 3118, 1384, 339, 25207, 268, 476, 6795, 339, 1341, 476, 7918, 910, 476, 11025, 339, 25207, 1341, 476, 2568, 339, 568, 6697, 547, 1384, 296, 993, 2731, 4503, 269, 594, 917, 602, 3478, 519, 2626, 547, 713, 1966, 814, 1945, 547, 798, 609, 1931, 540, 4238, 855, 952, 2576, 1223, 4001, 803, 519, 2953, 1259, 547, 979, 827, 6061, 713, 1966, 594, 1131, 11555, 3201, 14877, 5660, 621, 269, 594, 723, 606, 3003, 6656, 602, 594, 3893, 1055, 519, 4950, 799, 568, 513, 2852, 13675, 981, 2259, 1449, 267, 865, 602, 568, 1141, 594, 993, 3478, 891, 2042, 780, 273, 269, 20323, 17397, 676, 13690, 3120, 297, 4141, 692, 12179, 3118, 1384, 339, 25207, 268, 476, 6795, 339, 1341, 476, 7918, 910, 476, 11025, 339, 25207, 1341, 476, 2568, 339, 568, 6697, 547, 912, 294, 29470, 899, 2474, 692, 7445, 6234, 910, 10037, 339, 317, 273, 266, 339, 266, 7918, 6911, 274, 269, 12361, 9192, 899, 2474, 692, 19972, 338, 899, 789, 1616, 596, 547, 1175, 9192, 899, 2474, 692, 275, 269, 621, 666, 581, 3815, 1242, 2807, 8117, 519, 1079, 3435, 585, 1535, 1413, 15265, 692, 276, 269, 20323, 17397, 676, 20410, 528, 990, 454, 527, 666, 581, 3815, 1242, 2807, 8117, 519, 1079, 3435, 585, 1535, 1413, 15265, 454, 6343, 798, 519, 3435, 585, 512, 1413, 899, 2496, 277, 269, 20323, 17397, 676, 26717, 331, 1938, 454, 6343, 798, 519, 3435, 585, 512, 1413, 899, 888, 7445, 6234, 910, 1422, 2765, 346, 272, 1422, 10975, 1422, 6912, 346, 14690, 9032, 12453, 14341, 10592, 278, 269, 23010, 267, 7064, 267, 594, 723, 519, 2626, 1934, 538, 1250, 2626, 1883, 594, 729, 811, 5461, 538, 519, 1184, 269, 6145, 594, 1767, 267, 621, 781, 1044, 513, 1360, 1279, 942, 543, 950, 594, 979, 690, 1194, 593, 875, 547, 798, 621, 713, 568, 1018, 594, 1336, 282, 4982, 20884, 7215, 692, 6546, 18560, 1175, 3096, 620, 582, 540, 16166, 594, 1810, 1405, 1174, 543, 594, 729, 15691, 835, 540, 596, 16921, 1223, 2491, 621, 513, 2370, 1732, 585, 2576, 602, 3884, 1405, 4810, 609, 6128, 693, 782, 269, 594, 10093, 1405, 3144, 513, 2979, 1362, 538, 936, 476, 274, 1296, 543, 950, 594, 729, 538, 513, 2979, 1362, 594, 7012, 1405, 2731, 5461, 538, 1565, 865, 1631, 594, 6415, 9878, 585, 621, 780, 279, 269, 20323, 17397, 676, 13690, 3120, 297, 4141, 454, 17098, 16921, 267, 713, 568, 1250, 1101, 2022, 1934, 267, 855, 594, 723, 513, 4743, 594, 786, 581, 1394, 7168, 1419, 607, 594, 993, 4625, 4503, 950, 621, 2501, 547, 2979, 269, 9406, 1631, 594, 993, 1175, 4974, 1354, 594, 1256, 1491, 1250, 13307, 1449, 585, 2852, 267, 1317, 594, 1810, 1405, 8209, 1616, 547, 581, 4625, 804, 3241, 612, 1256, 585, 513, 13307, 1449, 780, 12179, 3118, 1384, 339, 25207, 268, 476, 6795, 339, 1341, 476, 7918, 910, 476, 11025, 339, 25207, 1341, 476, 2568, 339, 568, 6697, 547, 1384, 296, 993, 2731, 4503, 269, 594, 917, 602, 3478, 519, 2626, 547, 713, 1966, 814, 1945, 547, 798, 609, 1931, 540, 4238, 855, 952, 2576, 1223, 4001, 803, 519, 2953, 1259, 547, 979, 827, 6061, 713, 1966, 594, 1131, 11555, 3201, 14877, 5660, 621, 269, 594, 723, 606, 3003, 6656, 602, 594, 3893, 1055, 519, 4950, 799, 568, 513, 2852, 13675, 981, 2259, 1449, 267, 865, 602, 568, 1141, 594, 993, 3478, 891, 2042, 780, 2005, 814, 547, 798, 609, 834, 18474, 1456, 899, 7060, 2668, 1280, 1383, 267, 4399, 6234, 512, 317, 273, 268, 476, 11025, 339, 317, 273, 284, 630, 272, 268, 476, 11025, 264, 339, 317, 273, 284, 910, 10037, 339, 317, 273, 16859, 280, 269, 20323, 17397, 676, 8065, 810, 325, 296, 11803, 454, 2005, 814, 547, 798, 609, 834, 18474, 1456, 899, 7060, 2668, 1280, 1383, 267, 4399, 6234, 512, 317, 273, 268, 476, 11025, 339, 317, 273, 284, 630, 272, 268, 476, 11025, 264, 339, 317, 273, 284, 910, 10037, 339, 317, 273, 259, 563, 28989, 899, 594, 1767, 267, 594, 6415, 9247, 6216, 1007, 693, 713, 269, 7316, 1281, 602, 476, 272, 2097, 689, 286, 1879, 594, 6743, 693, 519, 2626, 602, 781, 835, 540, 519, 1292, 1919, 594, 1705, 711, 1174, 267, 568, 875, 596, 1205, 4399, 6234, 476, 10037, 339, 317, 273, 259, 689, 4399, 6234, 512, 317, 273, 268, 11025, 339, 317, 273, 259, 798, 596, 1175, 8263, 602, 512, 815, 476, 272, 26042, 1015, 269, 20323, 17397, 676, 13690, 3120, 297, 4141, 454, 28989, 899, 594, 1767, 267, 594, 6415, 9247, 6216, 1007, 693, 713, 269, 7316, 1281, 602, 476, 272, 2097, 689, 286, 1879, 594, 6743, 693, 519, 2626, 602, 781, 835, 540, 519, 1292, 1919, 594, 1705, 711, 1174, 267, 568, 875, 596, 1205, 4399, 6234, 476, 10037, 339, 317, 273, 259, 689, 4399, 6234, 512, 317, 273, 268, 11025, 339, 317, 273, 259, 798, 596, 1175, 8263, 602, 512, 815, 476, 272, 15017, 2710, 596, 917, 875, 547, 14458, 513, 910, 476, 11025, 320, 2496, 1556, 269, 4399, 6234, 476, 272, 259, 568, 519, 11664, 540, 4399, 6234, 512, 317, 273, 259, 607, 4399, 6234, 476, 272, 24585, 512, 317, 273, 815, 512, 317, 273, 6911, 2791, 1058, 2638, 856, 19750, 10789, 16497, 621, 6941, 519, 9238, 2731, 1134, 538, 1250, 6644, 780, 1321, 269, 20323, 17397, 676, 13690, 3120, 297, 4141, 454, 28989, 899, 594, 1767, 267, 594, 6415, 9247, 6216, 1007, 693, 713, 269, 7316, 1281, 602, 476, 272, 2097, 689, 286, 1879, 594, 6743, 693, 519, 2626, 602, 781, 835, 540, 519, 1292, 1919, 594, 1705, 711, 1174, 267, 568, 875, 596, 1205, 4399, 6234, 476, 10037, 339, 317, 273, 259, 689, 4399, 6234, 512, 317, 273, 268, 11025, 339, 317, 273, 259, 798, 596, 1175, 8263, 602, 512, 815, 476, 272, 15017, 2791, 991, 547, 1118, 2386, 596, 616, 6899, 609, 2733, 583, 2032, 267, 621, 568, 513, 4909, 3959, 540, 7223, 269, 898, 2829, 267, 538, 2241, 2474, 1384, 7445, 6234, 586, 343, 1341, 1990, 343, 284, 1535, 12169, 1341, 1990, 22491, 4131, 781, 1413, 693, 513, 2241, 1966, 543, 4019, 519, 4341, 269, 2353, 594, 723, 2944, 568, 7150, 519, 1657, 267, 1141, 586, 815, 476, 273, 543, 1990, 815, 476, 274, 320, 1384, 7445, 6234, 476, 273, 343, 1341, 476, 274, 1314, 815, 1535, 263, 273, 1341, 476, 274, 320, 22491, 3086, 267, 952, 596, 1205, 713, 267, 1287, 2015, 519, 1739, 1384, 7445, 6234, 1535, 266, 274, 343, 317, 273, 24210, 263, 272, 266, 274, 343, 22491, 5629, 1586, 267, 782, 649, 4312, 2944, 568, 1305, 586, 284, 272, 543, 1990, 284, 274, 343, 269, 1924, 649, 1175, 9062, 519, 1535, 3544, 519, 23049, 609, 1142, 2165, 3330, 519, 23049, 281, 4399, 6234, 1535, 1422, 10383, 476, 272, 815, 1535, 8961, 543, 4399, 6234, 1535, 1422, 10383, 476, 274, 343, 815, 476, 274, 343, 317, 273, 6911, 296, 1131, 2731, 1118, 2386, 596, 1174, 1614, 3652, 1354, 12394, 1022, 540, 891, 2042, 1384, 8333, 583, 18356, 454, 10112, 1539, 18356, 454, 18850, 1026, 583, 2032, 692, 2171, 10416, 946, 891, 1614, 3652, 547, 4194, 1034, 2010, 540, 15821, 2042, 269, 0, 258, 1215, 547, 2721, 606, 26667, 3113, 689, 922, 8728, 543, 14622, 1239, 2496, 296, 993, 1603, 513, 3301, 543, 594, 991, 547, 2099, 606, 3113, 538, 513, 26667, 6073, 689, 30490, 1239, 630, 19066, 540, 8728, 267, 3200, 1182, 543, 741, 14479, 1239, 2020, 20877, 338, 2874, 540, 513, 1305, 540, 14622, 543, 513, 1305, 540, 8728, 267, 1142, 8220, 1079, 14622, 6993, 14584, 949, 723, 1022, 1297, 540, 4448, 8728, 865, 621, 2306, 519, 1966, 513, 2603, 811, 7294, 780, 296, 723, 1224, 930, 4930, 543, 922, 5654, 899, 602, 519, 918, 663, 31582, 2203, 568, 519, 2022, 2442, 835, 269, 1717, 594, 1175, 1810, 1405, 917, 519, 5690, 267, 1022, 824, 3070, 630, 14607, 3596, 332, 264, 602, 4194, 519, 1966, 568, 849, 1360, 10950, 780, 763, 1739, 4605, 2982, 513, 1483, 1158, 1383, 585, 606, 5201, 3060, 799, 1058, 581, 2808, 607, 6151, 1239, 267, 538, 1931, 547, 1711, 513, 3113, 689, 713, 3060, 267, 930, 16861, 4247, 1590, 581, 2944, 780, 19152, 4578, 1384, 763, 1267, 594, 993, 3168, 585, 568, 1945, 899, 2630, 267, 972, 616, 930, 4162, 952, 596, 1491, 513, 1413, 1454, 6251, 23241, 763, 4414, 12443, 12455, 538, 519, 1647, 540, 519, 1657, 4605, 9272, 1239, 264, 4564, 606, 5201, 2655, 566, 799, 568, 513, 6843, 3294, 543, 666, 581, 4448, 547, 811, 982, 476, 275, 8728, 269, 1703, 616, 811, 2699, 29977, 855, 1152, 835, 666, 581, 3514, 883, 519, 1657, 4605, 2705, 607, 596, 949, 1294, 267, 519, 1739, 4605, 1223, 3382, 1454, 811, 982, 513, 2699, 20372, 602, 1797, 621, 666, 4786, 513, 8273, 1858, 267, 865, 519, 1739, 4605, 568, 1454, 811, 16437, 518, 780, 1103, 2480, 24136, 12222, 267, 2699, 29977, 630, 27802, 725, 264, 2356, 2226, 741, 2990, 1996, 1142, 824, 5266, 865, 952, 649, 4383, 547, 1294, 3564, 519, 970, 757, 540, 519, 1657, 4786, 676, 18186, 4040, 856, 585, 1383, 267, 649, 1058, 3592, 1294, 513, 6906, 602, 568, 15069, 666, 581, 2938, 693, 519, 2630, 1247, 2348, 519, 2451, 835, 693, 519, 2451, 267, 519, 1524, 835, 693, 519, 1524, 10371, 1862, 630, 10472, 568, 711, 513, 4341, 267, 855, 594, 2219, 621, 1223, 581, 513, 2212, 1376, 585, 5551, 5690, 2020, 7775, 628, 23585, 12810, 1384, 1892, 6496, 26667, 538, 713, 2796, 1611, 1210, 1152, 7299, 543, 8880, 8728, 286, 3657, 596, 3168, 585, 513, 1259, 547, 2099, 811, 982, 476, 275, 8728, 5870, 693, 513, 2582, 14584, 286, 1290, 7757, 2904, 476, 2764, 267, 476, 1001, 277, 693, 476, 1691, 281, 5392, 454, 1892, 7711, 339, 5341, 6955, 1314, 22549, 267, 543, 594, 798, 5660, 1022, 948, 269, 1290, 7757, 2904, 476, 4029, 267, 476, 1001, 277, 693, 476, 1321, 281, 7367, 454, 1892, 1772, 519, 3113, 16798, 547, 581, 1544, 541, 865, 602, 267, 30534, 519, 26667, 8728, 585, 513, 4090, 267, 519, 3113, 666, 581, 6537, 1510, 8728, 20718, 888, 1700, 1109, 12528, 7742, 271, 454, 4467, 7757, 9947, 476, 272, 267, 476, 1001, 277, 693, 476, 1240, 281, 3607, 454, 1892, 4937, 3113, 11768, 6620, 616, 606, 1195, 532, 547, 1982, 543, 2936, 269, 4634, 1175, 4466, 1697, 3283, 689, 3332, 568, 1928, 269, 1411, 1058, 4766, 513, 3787, 811, 1018, 596, 2503, 267, 2721, 513, 4605, 269, 1290, 7757, 9947, 476, 273, 267, 476, 1001, 277, 693, 476, 278, 281, 6872, 454, 1892, 634, 14584, 525, 2907, 723, 513, 2016, 2990, 538, 476, 273, 291, 630, 528, 593, 513, 12106, 1070, 865, 621, 781, 811, 540, 606, 6316, 23332, 1966, 286, 634, 24735, 3070, 568, 547, 8905, 1142, 6316, 1101, 2059, 519, 1535, 267, 1287, 2059, 519, 586, 7852, 630, 528, 519, 824, 1259, 1412, 1037, 1040, 1403, 713, 568, 1318, 267, 7713, 519, 2042, 609, 713, 24735, 3070, 1522, 581, 5363, 269, 594, 4952, 513, 6922, 1436, 1966, 676, 26471, 20507, 585, 519, 2042, 2483, 1700, 1109, 12528, 7742, 271, 454, 4467, 7757, 9947, 476, 274, 267, 476, 1001, 277, 693, 476, 1626, 281, 7918, 692, 12221, 290, 7637, 692, 3712, 320, 12459, 338, 630, 320, 21993, 18502, 269, 5680, 290, 7637, 264, 568, 513, 10084, 29441, 1759, 27682, 540, 5391, 3712, 320, 799, 1568, 1134, 609, 667, 274, 12459, 338, 692, 10674, 2517, 3405, 341, 331, 269, 8882, 1774, 577, 269, 3000, 1662, 12975, 270, 19986, 3712, 320, 270, 692, 294, 5090, 1881, 20233, 719, 1383, 1384, 10674, 2517, 3405, 341, 331, 269, 8882, 1774, 577, 269, 3000, 1662, 12975, 270, 19986, 3712, 320, 270, 1410, 3263, 7933, 582, 12741, 23054, 11258, 692, 8104, 5263, 692, 15411, 8641, 14301, 17563, 692, 5970, 606, 26667, 11768, 692, 7775, 628, 23585, 281, 13106, 565, 599, 719, 609, 13838, 585, 519, 3268, 540, 3337, 543, 735, 9146, 267, 1849, 13831, 7775, 628, 334, 299, 599 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 7008, 540, 519, 5311, 267, 952, 621, 6818, 267, 568, 606, 2937, 7008, 610, 513, 1762, 7008, 267, 1510, 12055, 908, 1394, 519, 2898, 5311, 26042, 14188, 596, 780, 1892, 898, 781, 711, 865, 2352, 547, 1397, 602, 519, 5311, 568, 7123, 519, 1259, 596, 4766, 621, 3842, 15632, 593, 519, 2990, 538, 519, 5311, 630, 328, 4318, 269, 1397, 602, 1310, 519, 1101, 942, 519, 1269, 330, 259, 628, 4484, 568, 8655, 2901, 589, 610, 586, 267, 621, 786, 2760, 1689, 267, 2864, 982, 602, 519, 1269, 330, 259, 628, 2262, 786, 2141, 2253, 609, 519, 18159, 330, 268, 272, 7751, 628, 2262, 1040, 1290, 7757, 9484, 476, 1839, 267, 476, 1001, 278, 693, 476, 1556, 281, 1428, 454, 1892, 594, 614, 908, 936, 519, 2990, 3079, 540, 519, 25828, 2338, 7790, 12829, 269, 1290, 7757, 9484, 476, 1839, 267, 476, 1001, 278, 693, 476, 1556, 281, 6872, 692, 1607, 31643, 3041, 7127, 3947, 519, 4542, 265, 3230, 337, 17624, 815, 1422, 331, 28776, 17347, 266, 272, 9385, 12978, 315, 337, 28776, 10559, 331, 28776, 737, 315, 12978, 315, 337, 28776, 910, 476, 272, 2330, 1141, 4399, 12978, 815, 1422, 2765, 3189, 6912, 476, 276, 910, 476, 272, 2410, 273, 4151, 568, 519, 11344, 5223, 269, 1677, 14377, 883, 707, 1893, 267, 1269, 272, 259, 538, 519, 31643, 3041, 5311, 1797, 589, 267, 543, 1269, 271, 259, 1797, 586, 269, 634, 1101, 589, 14687, 547, 1269, 337, 318, 272, 259, 563, 265, 763, 4542, 607, 2016, 538, 519, 31643, 3041, 3085, 1405, 723, 519, 1269, 268, 272, 259, 2165, 693, 519, 1439, 267, 543, 11729, 1269, 272, 259, 543, 1269, 273, 8961, 1247, 519, 5311, 814, 1269, 271, 259, 543, 1269, 272, 10608, 17968, 267, 835, 1223, 4312, 2220, 11474, 856, 4399, 12978, 259, 609, 4399, 12978, 262, 815, 1422, 2765, 272, 315, 12978, 815, 1422, 12978, 268, 272, 259, 3079, 540, 813, 2056, 1269, 268, 272, 259, 563, 1892, 7711, 299, 19508, 337, 928, 23010, 267, 594, 4769, 1405, 917, 602, 2901, 269, 594, 1175, 4957, 782, 707, 589, 547, 1269, 272, 259, 543, 782, 707, 586, 547, 1269, 271, 8961, 543, 22646, 519, 31643, 3041, 269, 1290, 7757, 9484, 476, 1839, 267, 476, 1001, 278, 693, 476, 1556, 281, 6795, 0, 258, 5565, 4485, 547, 6061, 18236, 3830, 538, 22263, 2230, 692, 296, 1616, 547, 6746, 1227, 4194, 519, 18236, 3830, 4399, 14783, 4671, 579, 815, 667, 1422, 14783, 13448, 317, 273, 579, 259, 538, 22263, 2230, 267, 543, 666, 1589, 540, 2789, 2081, 547, 798, 621, 780, 258, 5590, 1575, 692, 2162, 26840, 476, 272, 692, 17843, 11868, 1269, 340, 259, 7466, 538, 22263, 2230, 6770, 1524, 1079, 2188, 540, 1269, 1731, 259, 689, 519, 12825, 1269, 324, 3867, 328, 737, 1535, 31859, 11377, 14783, 4671, 1422, 339, 32499, 346, 340, 20731, 330, 815, 667, 630, 1731, 8203, 273, 1422, 339, 32499, 346, 340, 20731, 330, 9681, 6518, 666, 581, 771, 4038, 2213, 267, 585, 1383, 267, 899, 1384, 11377, 2765, 3189, 339, 32499, 346, 340, 8703, 333, 266, 272, 348, 910, 1422, 339, 32499, 346, 340, 11892, 333, 7346, 18773, 512, 348, 815, 910, 291, 330, 317, 273, 13375, 7268, 2765, 3189, 339, 32499, 346, 340, 8703, 333, 266, 272, 348, 1341, 1422, 339, 32499, 346, 340, 8703, 333, 12453, 273, 348, 1422, 2431, 264, 9681, 2162, 26840, 476, 273, 692, 21982, 519, 2034, 1931, 13113, 3017, 3830, 538, 1483, 2230, 1384, 11377, 14783, 13448, 317, 273, 579, 1422, 13627, 1422, 2765, 346, 340, 3709, 328, 266, 272, 348, 910, 476, 273, 579, 10983, 1341, 579, 3709, 328, 268, 272, 24828, 18773, 1535, 317, 273, 15732, 3602, 1269, 340, 3709, 328, 266, 272, 4151, 543, 1269, 340, 10983, 259, 616, 4399, 18773, 1535, 259, 6306, 269, 22263, 13321, 713, 267, 19551, 602, 5123, 6521, 540, 4399, 18773, 1535, 259, 568, 2016, 676, 1269, 324, 17353, 18773, 1535, 737, 4151, 649, 1205, 1384, 11377, 14783, 13448, 317, 273, 1422, 339, 32499, 346, 340, 20731, 330, 1422, 13627, 1422, 2765, 346, 324, 3867, 10954, 18773, 1535, 737, 348, 910, 273, 1341, 552, 3867, 10559, 18773, 1535, 737, 348, 476, 7346, 18773, 1535, 317, 273, 348, 1422, 339, 32499, 346, 340, 20731, 330, 815, 476, 273, 1422, 2765, 3189, 6523, 7268, 18773, 1535, 737, 264, 910, 476, 272, 7346, 18773, 1535, 317, 273, 348, 1422, 339, 32499, 346, 340, 20731, 330, 315, 29911, 263, 272, 264, 9681, 28274, 1586, 547, 519, 18236, 3830, 1384, 11377, 2765, 3189, 339, 32499, 346, 340, 8703, 333, 266, 272, 20731, 330, 910, 1422, 339, 32499, 346, 340, 11892, 333, 17624, 7346, 18773, 512, 348, 815, 667, 21702, 346, 273, 22570, 6523, 7268, 18773, 1535, 737, 9984, 272, 264, 7346, 18773, 1535, 317, 273, 348, 1422, 3847, 7268, 2765, 3189, 339, 32499, 346, 340, 8703, 333, 266, 272, 20731, 330, 1341, 1422, 339, 32499, 346, 340, 8703, 333, 20731, 330, 2410, 273, 348, 1422, 2431, 264, 9681, 296, 3357, 2066, 26840, 476, 273, 538, 513, 1906, 4025, 267, 585, 1383, 267, 538, 713, 1957, 780, 258, 7726, 692, 7617, 540, 891, 630, 604, 2901, 264, 1058, 594, 581, 1210, 267, 543, 1946, 286, 594, 6415, 27378, 519, 15768, 2470, 540, 519, 674, 10499, 568, 1271, 267, 607, 519, 4485, 616, 6697, 607, 4399, 18773, 1535, 1422, 1729, 476, 271, 8961, 2938, 676, 13177, 9750, 26169, 269, 630, 272, 17107, 2330, 273, 1422, 2765, 3189, 6523, 7268, 18773, 1535, 737, 264, 910, 476, 272, 7346, 18773, 1535, 317, 273, 348, 815, 476, 273, 1422, 2765, 346, 272, 910, 1422, 2765, 346, 7268, 18773, 1535, 737, 8203, 273, 2410, 273, 348, 1341, 1422, 24837, 346, 302, 32710, 18773, 1535, 317, 275, 264, 910, 476, 272, 7346, 18773, 1535, 317, 273, 348, 815, 910, 330, 317, 273, 1341, 1422, 24837, 346, 302, 32710, 18773, 1535, 317, 273, 264, 9681, 12179, 948, 568, 7494, 15874, 2439, 2162, 22352, 692, 1320, 9722, 811, 827, 713, 267, 519, 3601, 540, 519, 667, 10499, 616, 2965, 1271, 269, 634, 5021, 1269, 330, 259, 568, 1269, 330, 3709, 10946, 348, 815, 273, 19570, 630, 301, 270, 273, 7751, 1141, 4399, 18773, 1535, 815, 700, 1315, 715, 10608, 1924, 607, 4399, 18773, 1535, 1422, 1729, 476, 271, 8961, 1269, 330, 3709, 10946, 348, 1422, 1729, 1422, 13727, 10608, 4475, 519, 1079, 2409, 616, 1114, 585, 1804, 1269, 330, 259, 693, 1022, 4399, 18773, 1535, 259, 1384, 1607, 5654, 899, 519, 8545, 4781, 568, 7311, 930, 5347, 532, 693, 1164, 1269, 330, 16859, 1892, 1411, 1058, 1205, 513, 5299, 540, 834, 301, 10179, 673, 10298, 540, 3487, 658, 27018, 12307, 281, 5685, 924, 16338, 10613, 257, 676, 717, 291, 8055, 269, 898, 786, 948, 596, 1174, 6617, 2079, 1644, 547, 891, 14565, 269, 1290, 7757, 7325, 476, 1556, 267, 476, 1001, 275, 693, 476, 1724, 281, 2004, 692, 23777, 1227, 267, 519, 1101, 1935, 568, 1031, 269, 634, 2039, 540, 12451, 1031, 786, 3970, 606, 8763, 942, 5043, 1807, 267, 543, 568, 1134, 8153, 585, 13113, 1673, 29924, 771, 4038, 3074, 269, 634, 2078, 547, 519, 13113, 3017, 2013, 5205, 676, 15663, 602, 1269, 291, 270, 7268, 18773, 12757, 8703, 273, 348, 7751, 568, 513, 4908, 267, 865, 585, 1970, 12451, 267, 596, 666, 1491, 1804, 942, 3268, 267, 855, 585, 1164, 12451, 267, 6617, 7182, 519, 942, 1900, 269, 4595, 519, 22263, 4493, 5161, 540, 14802, 325, 17313, 540, 519, 18236, 11346, 267, 1776, 1259, 547, 1413, 693, 621, 568, 602, 519, 22263, 20675, 11526, 19706, 771, 4038, 1436, 11729, 513, 4015, 540, 22185, 1449, 4834, 602, 666, 581, 7471, 10446, 630, 527, 15497, 3278, 519, 11346, 1070, 543, 1287, 596, 666, 946, 3044, 7440, 689, 10230, 6617, 3069, 585, 744, 14701, 338, 547, 1164, 12451, 786, 3970, 707, 942, 1900, 1813, 547, 6617, 269, 1411, 1058, 4440, 2015, 606, 17697, 942, 5043, 1807, 585, 519, 1164, 23151, 12331, 267, 8259, 596, 616, 8348, 547, 946, 1507, 942, 3268, 1813, 547, 713, 6617, 20159, 563, 1892, 594, 15475, 2901, 4781, 1223, 581, 1031, 269, 6145, 594, 1767, 267, 3335, 267, 519, 1101, 1935, 568, 1031, 267, 1317, 621, 15497, 3278, 519, 18236, 11346, 538, 476, 272, 5937, 269, 634, 2034, 1935, 1281, 711, 8209, 15497, 1125, 519, 4611, 15768, 19406, 540, 519, 18236, 11346, 267, 4352, 594, 9364, 1589, 519, 1079, 1131, 3858, 538, 519, 3970, 607, 4399, 18773, 12757, 348, 1422, 21375, 476, 271, 10608, 1290, 7757, 7325, 476, 1015, 267, 476, 1001, 275, 693, 476, 736, 281, 4391, 0, 2791, 616, 593, 2985, 476, 272, 1993, 476, 272, 692, 258, 715, 383, 504, 300, 2207, 5308, 18904, 7838, 3201, 2464, 780, 290, 5451, 331, 1529, 657, 10395, 514, 15606, 594, 454, 4910, 565, 591, 17485, 521, 580, 340, 1304, 525, 524, 5451, 331, 1529, 657, 912, 314, 630, 3738, 316, 22896, 362, 427, 352, 360, 476, 274, 22896, 373, 454, 273, 692, 272, 264, 476, 1321, 476, 273, 6567, 476, 275, 476, 273, 1341, 476, 274, 2340, 24844, 476, 1015, 476, 273, 6567, 476, 279, 476, 273, 6567, 476, 276, 2340, 24844, 476, 274, 476, 5038, 815, 476, 2767, 264, 22896, 363, 427, 352, 361, 476, 275, 1341, 476, 3607, 1341, 276, 22896, 370, 454, 427, 352, 371, 1341, 272, 427, 352, 374, 281, 476, 273, 6567, 273, 476, 274, 2340, 24844, 274, 476, 273, 476, 274, 1341, 275, 476, 273, 1341, 274, 21591, 427, 352, 364, 427, 352, 511, 454, 427, 352, 363, 22896, 372, 22896, 374, 692, 1012, 630, 476, 1911, 2433, 476, 276, 1341, 476, 278, 264, 6567, 1496, 630, 476, 736, 6567, 1724, 3738, 6567, 1015, 9948, 2433, 476, 274, 25883, 273, 454, 273, 22896, 365, 454, 427, 352, 368, 427, 352, 362, 427, 352, 360, 454, 273, 22896, 373, 22896, 376, 692, 273, 264, 476, 273, 454, 2764, 264, 22896, 366, 427, 352, 363, 427, 352, 361, 476, 1240, 6567, 476, 275, 1341, 272, 427, 352, 370, 454, 427, 352, 371, 1341, 278, 22896, 374, 281, 476, 275, 1341, 275, 427, 352, 377, 2433, 476, 280, 21591, 427, 352, 368, 427, 352, 363, 427, 352, 511, 454, 427, 352, 367, 427, 352, 364, 22896, 372, 22896, 374, 454, 427, 352, 375, 22896, 368, 692, 274, 264, 630, 476, 3066, 6567, 476, 274, 3738, 1341, 476, 276, 2340, 24844, 1496, 630, 476, 273, 2340, 24844, 476, 278, 6567, 476, 277, 3738, 6567, 1556, 2340, 24844, 476, 1839, 9948, 815, 630, 273, 12467, 274, 454, 274, 476, 274, 22896, 365, 427, 352, 362, 476, 276, 22896, 376, 454, 273, 454, 3066, 264, 22896, 366, 427, 352, 363, 454, 275, 454, 266, 274, 476, 273, 2433, 476, 276, 1341, 274, 476, 274, 1341, 273, 476, 274, 22896, 373, 2433, 476, 1015, 1341, 274, 22896, 377, 21591, 427, 352, 367, 427, 352, 364, 22896, 374, 454, 427, 352, 375, 22896, 378, 692, 1012, 476, 275, 264, 1496, 630, 476, 274, 1341, 1724, 3738, 2433, 476, 273, 1341, 476, 275, 9948, 2433, 476, 274, 6567, 4097, 2433, 630, 476, 10037, 1341, 476, 273, 3738, 815, 476, 1789, 264, 22896, 365, 27883, 273, 3738, 9948, 476, 13893, 22896, 376, 692, 272, 476, 274, 454, 273, 476, 274, 454, 427, 352, 366, 1341, 273, 476, 273, 1341, 273, 476, 274, 1341, 273, 476, 275, 2433, 476, 277, 6567, 272, 6567, 276, 2340, 24844, 22896, 377, 281, 476, 275, 21591, 427, 352, 367, 22896, 378, 692, 276, 264, 1496, 476, 273, 2340, 24844, 630, 476, 280, 1341, 476, 3607, 3738, 1341, 630, 476, 274, 2340, 24844, 476, 5038, 6567, 476, 1691, 3738, 9948, 2433, 476, 273, 815, 27883, 273, 3738, 9948, 6567, 1496, 630, 476, 2537, 6567, 476, 276, 2340, 24844, 476, 275, 3738, 2340, 24844, 476, 274, 23378, 274, 476, 273, 476, 274, 476, 273, 476, 273, 454, 4029, 264, 1341, 476, 274, 476, 273, 1341, 476, 275, 476, 273, 1341, 476, 7906, 1341, 476, 276, 476, 271, 2433, 476, 276, 476, 273, 454, 6629, 476, 5655, 21591, 275, 22896, 362, 427, 352, 360, 22896, 370, 454, 273, 22896, 373, 454, 427, 352, 362, 427, 352, 360, 274, 22896, 373, 454, 277, 264, 1341, 274, 476, 273, 2340, 24844, 476, 273, 22896, 370, 476, 3953, 264, 22896, 363, 427, 352, 361, 476, 273, 476, 274, 2340, 24844, 278, 1341, 279, 1341, 273, 476, 274, 22896, 371, 2340, 24844, 274, 476, 273, 22896, 374, 281, 476, 278, 21591, 273, 476, 274, 476, 274, 454, 427, 352, 363, 427, 352, 361, 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 ]
[ 590, 1872, 872, 9366, 693, 519, 3952, 540, 16444, 681, 4821, 1310, 519, 2669, 540, 4406, 328, 945, 666, 581, 2938, 896, 519, 1318, 3723, 540, 16444, 681, 4821, 269, 1703, 616, 1082, 4128, 585, 713, 7664, 799, 616, 7396, 538, 713, 5816, 269, 18564, 519, 3504, 13019, 330, 6598, 30115, 593, 519, 1318, 7868, 4224, 8323, 568, 4092, 593, 519, 29384, 540, 7823, 11023, 321, 14508, 5617, 3121, 538, 519, 2098, 698, 4592, 538, 590, 592, 2727, 8643, 5984, 267, 593, 519, 9459, 16927, 12036, 8473, 269, 28057, 689, 2235, 320, 476, 13975, 271, 7460, 8198, 1103, 8106, 3332, 4432, 600, 729, 849, 1634, 607, 12246, 10005, 543, 568, 27057, 1634, 607, 10609, 15120, 652, 534, 269, 634, 2012, 12246, 10005, 1253, 2176, 547, 10609, 15120, 529, 3976, 269, 4340, 547, 2037, 9871, 19508, 29953, 9459, 3821, 267, 12052, 2160, 267, 5292, 476, 272, 267, 2985, 476, 6924, 278, 268, 6924, 280, 267, 519, 2012, 10609, 15120, 652, 534, 1797, 2048, 27455, 540, 519, 10609, 15120, 328, 8730, 543, 4016, 547, 519, 3312, 11317, 540, 713, 11662, 267, 519, 12246, 1014, 1004, 269, 4256, 3854, 2749, 729, 12246, 320, 269, 1635, 519, 942, 540, 6196, 14655, 519, 2012, 12246, 320, 4957, 547, 13535, 5633, 543, 676, 519, 942, 540, 5664, 14655, 267, 13535, 5633, 4957, 547, 10609, 15120, 328, 267, 8754, 519, 2012, 10609, 15120, 652, 534, 563, 2005, 568, 519, 1543, 542, 1934, 602, 12246, 6511, 267, 519, 2012, 540, 519, 10548, 18885, 545, 8709, 4673, 8783, 540, 519, 5375, 32531, 1228, 267, 568, 519, 2707, 540, 519, 2012, 540, 519, 12246, 10005, 10340, 269, 769, 3333, 639, 514, 752, 267, 2495, 2048, 326, 617, 540, 12246, 320, 685, 729, 835, 540, 519, 2101, 10971, 540, 519, 4432, 600, 2572, 543, 519, 2149, 528, 25976, 540, 12246, 320, 269, 634, 1744, 639, 514, 752, 851, 538, 519, 2012, 769, 3333, 639, 514, 752, 1932, 4667, 547, 581, 513, 23673, 540, 12246, 6511, 269, 634, 4128, 585, 713, 8367, 616, 7396, 2630, 563, 5575, 267, 538, 519, 9699, 5931, 649, 1265, 602, 681, 31381, 918, 553, 1506, 23981, 267, 24430, 10044, 543, 12246, 6511, 616, 1644, 269, 4340, 547, 519, 10548, 27011, 267, 12246, 6511, 729, 519, 5067, 540, 24430, 10044, 269, 24430, 10044, 5128, 729, 1134, 1634, 1282, 519, 4432, 3133, 924, 1974, 269, 1284, 1265, 602, 10838, 519, 9998, 17005, 1202, 18587, 267, 538, 519, 4432, 600, 924, 3131, 572, 335, 12994, 10783, 2305, 7305, 339, 476, 4391, 278, 267, 519, 2098, 19660, 770, 6929, 5601, 13259, 3120, 631, 1794, 6767, 568, 1045, 12097, 2059, 609, 631, 603, 571, 543, 7442, 600, 13845, 520, 543, 519, 966, 14037, 24430, 10044, 269, 13536, 267, 3203, 1314, 518, 343, 525, 8633, 945, 12199, 689, 476, 3374, 280, 7460, 268, 26552, 7460, 2306, 713, 1045, 6327, 547, 519, 1614, 24587, 1586, 538, 1010, 12081, 269, 769, 966, 14037, 5931, 799, 2392, 622, 891, 1202, 18587, 676, 5215, 540, 1296, 267, 519, 966, 14037, 10971, 631, 603, 571, 543, 24430, 10044, 616, 4749, 5018, 1927, 269, 769, 519, 9998, 4494, 540, 519, 15519, 1386, 320, 267, 24430, 10044, 568, 519, 27369, 540, 5837, 1876, 267, 519, 14610, 936, 1306, 32136, 267, 835, 945, 5309, 8460, 1346, 945, 5609, 1510, 1121, 16017, 267, 543, 945, 8483, 1161, 1346, 945, 20093, 609, 1121, 16017, 269, 1261, 568, 519, 26851, 25976, 540, 519, 4639, 267, 2495, 4525, 7178, 540, 3127, 269, 4340, 547, 5261, 654, 269, 5689, 18588, 1312, 24430, 10044, 630, 514, 966, 14037, 1974, 264, 543, 13259, 3120, 631, 1794, 6767, 630, 514, 2025, 22504, 4984, 264, 6719, 1482, 21475, 16927, 3757, 1014, 1523, 540, 513, 18678, 968, 3772, 267, 782, 268, 3104, 532, 18459, 9731, 13553, 267, 621, 6148, 7074, 1934, 602, 24430, 10044, 729, 519, 5067, 540, 681, 31381, 610, 590, 720, 918, 553, 1506, 23981, 267, 1310, 7247, 267, 2687, 547, 9699, 5931, 267, 8235, 595, 5684, 1014, 13883, 538, 519, 5087, 540, 9459, 729, 3957, 563, 23612, 267, 649, 1413, 585, 10548, 18885, 545, 4408, 538, 519, 25610, 540, 595, 5684, 1014, 7256, 547, 2638, 2436, 1022, 10250, 540, 519, 5736, 540, 10548, 27011, 543, 10548, 18885, 545, 4408, 1869, 2611, 269, 5565, 1271, 4408, 2097, 909, 269, 2290, 540, 1576, 568, 681, 4461, 541, 267, 513, 2749, 593, 519, 595, 5684, 1014, 267, 543, 519, 824, 568, 519, 5800, 540, 5775, 7315, 267, 799, 4440, 814, 519, 1482, 29721, 607, 1776, 2749, 540, 519, 19626, 545, 5736, 268, 519, 2749, 540, 5775, 7315, 540, 9459, 267, 519, 3877, 827, 799, 568, 5941, 6619, 563, 19177, 628, 267, 12246, 6511, 267, 519, 1178, 2738, 517, 540, 918, 553, 1506, 23981, 267, 1185, 513, 8250, 676, 519, 2012, 540, 570, 4673, 543, 1352, 729, 9310, 547, 4406, 328, 267, 519, 7015, 540, 590, 1872, 872, 9366, 11489, 4406, 328, 568, 7166, 676, 590, 1872, 872, 9366, 543, 570, 4673, 3587, 519, 7385, 540, 590, 1872, 872, 9366, 269, 769, 519, 2098, 698, 4592, 972, 568, 513, 7823, 676, 519, 2012, 918, 7795, 3887, 13305, 8932, 610, 24398, 269, 4406, 328, 269, 8625, 609, 519, 10548, 18885, 545, 23678, 1324, 693, 24398, 269, 590, 2544, 2006, 807, 267, 519, 6228, 540, 918, 7795, 3887, 13305, 8932, 561, 1742, 5491, 547, 519, 3661, 602, 519, 10548, 18885, 545, 12325, 941, 1134, 1634, 543, 26060, 1282, 519, 4432, 3133, 924, 4341, 269, 4746, 972, 568, 513, 4884, 676, 519, 2012, 540, 570, 4673, 538, 631, 1794, 9725, 534, 799, 6920, 602, 1256, 519, 14758, 3197, 540, 10548, 27011, 941, 5310, 711, 7164, 538, 713, 851, 540, 519, 1158, 563, 293, 604, 628, 267, 519, 4432, 600, 333, 2572, 13736, 4874, 1492, 1143, 269, 11310, 827, 741, 4984, 568, 1085, 656, 855, 693, 835, 942, 789, 1185, 513, 20562, 515, 517, 540, 10971, 18188, 676, 519, 5601, 10609, 636, 3316, 269, 4033, 24587, 3769, 519, 15831, 17340, 22781, 267, 543, 519, 10971, 769, 3333, 2313, 514, 752, 543, 808, 629, 745, 269, 634, 2063, 1079, 4408, 616, 26256, 919, 540, 519, 10548, 18885, 545, 12246, 6511, 543, 808, 3711, 327, 7079, 563, 763, 5601, 10609, 636, 3316, 729, 513, 6607, 268, 5601, 543, 729, 1634, 676, 1082, 824, 4408, 971, 607, 9966, 3316, 269, 1261, 729, 519, 1183, 4177, 540, 519, 2749, 540, 5775, 7315, 269, 1261, 729, 849, 519, 1183, 4177, 540, 519, 2048, 20175, 995, 2696, 685, 538, 4432, 16120, 924, 5132, 269, 1261, 729, 519, 27369, 540, 519, 595, 25729, 4104, 538, 519, 13019, 330, 6598, 29980, 540, 16500, 31521, 327, 269, 9747, 267, 10609, 636, 3316, 610, 9966, 3316, 5526, 547, 581, 513, 23673, 540, 519, 2012, 12390, 3861, 267, 1776, 10548, 18885, 545, 5869, 269, 634, 3854, 2749, 602, 10609, 636, 3316, 610, 9966, 3316, 6417, 729, 1572, 5775, 7315, 267, 543, 621, 729, 849, 1634, 676, 519, 2012, 1323, 345, 534, 269, 901, 949, 581, 513, 23673, 540, 519, 2012, 1323, 329, 3570, 267, 519, 2012, 540, 12390, 3861, 779, 3993, 269, 12390, 3861, 729, 849, 1634, 607, 1323, 329, 8643, 6261, 583, 571, 269, 634, 4884, 1141, 12390, 3861, 729, 4535, 538, 3127, 568, 1634, 607, 1323, 13568, 610, 1323, 13568, 1673, 5069, 269, 4706, 11218, 538, 9459, 267, 519, 3504, 2749, 540, 1323, 345, 534, 267, 1869, 6818, 547, 17058, 543, 568, 4092, 538, 519, 2098, 698, 4592, 10239, 2282, 519, 2413, 2749, 540, 1744, 4275, 345, 269, 634, 5800, 540, 5775, 7315, 5018, 1657, 543, 4092, 593, 519, 595, 5684, 1014, 5310, 814, 519, 1482, 29721, 563, 15563, 267, 519, 2012, 2098, 698, 4592, 267, 519, 2039, 538, 799, 519, 4432, 3133, 924, 2749, 540, 12246, 320, 729, 13883, 267, 3294, 568, 1767, 547, 581, 513, 23673, 540, 519, 2012, 32371, 4673, 267, 2098, 698, 4592, 267, 729, 865, 3957, 1310, 513, 13837, 13145, 14316, 267, 519, 32371, 691, 2103, 267, 945, 1185, 9411, 519, 10239, 540, 9459, 689, 519, 7404, 4262, 610, 29345, 4673, 1107, 12077, 519, 590, 785, 16852, 10067, 553, 26196, 799, 13315, 519, 26768, 7256, 269, 9747, 741, 2012, 563, 288, 1114, 1543, 542, 827, 519, 2012, 2098, 698, 4592, 568, 4843, 676, 5153, 7315, 639, 18031, 656, 19434, 630, 277, 628, 2540, 5084, 1070, 945, 729, 519, 2278, 540, 513, 10923, 8675, 13886, 2048, 20685, 333, 3821, 9957, 1261, 2022, 4327, 602, 972, 729, 513, 25345, 538, 519, 595, 5684, 1014, 7256, 1572, 2048, 306, 698, 691, 807, 685, 543, 602, 519, 32371, 691, 2103, 6410, 5045, 689, 32371, 691, 807, 547, 1018, 2663, 3357, 547, 581, 1634, 607, 519, 2098, 698, 4592, 10239, 563, 2467, 568, 513, 10548, 18885, 545, 4276, 1934, 1932, 269, 2290, 540, 519, 11937, 540, 16444, 681, 4821, 729, 519, 6422, 3751, 32371, 4673, 269, 6969, 7083, 32251, 543, 20045, 327, 597, 27821, 3142, 519, 796, 745, 569, 717, 18553, 5757, 883, 519, 23617, 540, 3127, 689, 519, 22615, 28569, 267, 621, 568, 3751, 32371, 4673, 543, 1010, 24239, 6253, 748, 663, 14930, 630, 26074, 1082, 543, 711, 2122, 541, 2905, 519, 1297, 24239, 8536, 1070, 945, 4384, 919, 519, 1184, 543, 3217, 593, 519, 7882, 1054, 4305, 540, 20857, 519, 8756, 998, 799, 519, 1216, 540, 717, 18553, 8928, 1310, 621, 568, 5950, 547, 519, 23617, 540, 3127, 676, 32251, 543, 13225, 698, 597, 987, 563, 3719, 1394, 547, 24398, 269, 623, 926, 344, 21358, 538, 6239, 5607, 269, 2290, 949, 2161, 602, 4406, 332, 5942, 779, 6609, 540, 519, 623, 926, 344, 21358, 543, 966, 1690, 571, 607, 4262, 2173, 870, 1622, 11710, 689, 519, 1249, 602, 789, 941, 4092, 538, 1018, 941, 693, 602, 942, 1634, 607, 519, 32371, 4673, 10239, 1813, 547, 741, 16133, 547, 590, 785, 16852, 10067, 553, 26196, 610, 519, 26768, 7256, 269, 2107, 952, 519, 32371, 4673, 14316, 1185, 2907, 7153, 267, 519, 10239, 676, 1287, 1185, 3144, 593, 519, 2012, 540, 519, 14316, 267, 1498, 621, 4667, 602, 519, 14316, 4440, 1185, 2016, 2933, 713, 2012, 689, 519, 2012, 540, 519, 10239, 267, 2523, 1317, 519, 22504, 29415, 729, 2899, 7357, 896, 1216, 543, 585, 602, 2601, 519, 2098, 698, 4592, 543, 1325, 10767, 345, 9832, 941, 1312, 1216, 2000, 690, 3022, 563, 763, 1079, 5207, 19589, 538, 519, 2098, 698, 4592, 616, 24398, 269, 667, 6511, 610, 918, 7795, 3887, 5937, 14373, 610, 6778, 667, 14373, 267, 543, 24398, 269, 2098, 731, 269, 1452, 1079, 949, 1134, 581, 519, 623, 926, 344, 21358, 543, 966, 1690, 571, 540, 519, 10548, 27011, 269, 1703, 568, 606, 4540, 7823, 1780, 538, 519, 2098, 698, 4592, 15142, 827, 476, 1911, 5998, 689, 918, 7795, 3887, 19053, 731, 269, 898, 568, 1572, 19358, 3887, 6261, 926, 12505, 269, 769, 519, 2048, 294, 1794, 21392, 540, 9459, 8730, 538, 513, 1592, 540, 4408, 9516, 676, 519, 2136, 2276, 8274, 540, 22127, 18780, 267, 519, 10974, 540, 19358, 3887, 6261, 926, 12505, 568, 2016, 693, 476, 3451, 269, 4029, 5232, 3345, 543, 476, 5325, 269, 3066, 5232, 5101, 269, 16393, 623, 926, 12505, 581, 513, 959, 15635, 730, 1106, 540, 30410, 344, 21358, 269, 898, 568, 711, 12691, 269, 24398, 269, 667, 6511, 610, 667, 14373, 568, 2417, 7178, 267, 543, 2899, 519, 11709, 31730, 1085, 712, 621, 585, 590, 7534, 267, 972, 568, 513, 7872, 602, 789, 1223, 723, 8120, 547, 918, 7795, 3887, 19053, 731, 998, 519, 1780, 693, 19358, 3887, 6261, 926, 12505, 563, 11749, 332, 5942, 1287, 4408, 24398, 269, 932, 31518, 7079, 267, 13883, 267, 646, 6645, 721, 267, 693, 519, 2048, 27917, 628, 10116, 540, 519, 4262, 9957, 1261, 849, 2829, 602, 513, 14049, 1572, 14181, 327, 6702, 3570, 729, 2899, 25778, 3022, 930, 1141, 538, 24398, 269, 932, 31518, 7079, 269, 634, 8772, 10116, 1055, 519, 590, 785, 16852, 32371, 4673, 610, 519, 26768, 7256, 568, 519, 3296, 9663, 1492, 560, 1055, 689, 519, 14655, 13323, 13675, 269, 1924, 835, 949, 1413, 585, 513, 2749, 538, 519, 3148, 11105, 547, 621, 563, 11749, 332, 5942, 849, 2829, 602, 519, 932, 31518, 729, 3710, 676, 31155, 342, 752, 12609, 267, 519, 18477, 4056, 269, 634, 2012, 932, 31518, 7079, 2303, 519, 6228, 540, 513, 803, 6549, 603, 545, 9764, 630, 8072, 577, 31518, 685, 1797, 2048, 15132, 983, 32426, 8868, 899, 2497, 29691, 513, 7823, 269, 901, 3135, 814, 711, 2943, 1044, 4857, 267, 1498, 9764, 803, 6549, 603, 545, 3889, 2291, 538, 18206, 2727, 538, 6576, 543, 3619, 324, 31990, 2993 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 19258, 565, 7236, 4584, 1575, 11443, 12222, 17611, 269, 3397, 850, 18448, 528, 605, 552, 321, 524, 335, 3109, 18723, 678, 1180, 558, 639, 545, 269, 717, 12028, 4584, 5725, 11443, 6516, 585, 1208, 321, 27462, 17611, 4584, 1575, 269, 3525, 25880, 519, 3312, 1196, 23135, 8709, 10300, 523, 11443, 30856, 269, 2871, 10560, 11443, 6516, 1079, 1208, 321, 3089, 619, 12222, 269, 17435, 541, 345, 1470, 11443, 12222, 1208, 321, 3089, 619, 11967, 269, 25385, 561, 11575, 544, 11443, 6516, 12222, 269, 0, 11386, 29393, 585, 3427, 15051, 454, 27745, 707, 1153, 779, 10512, 1949, 4324, 689, 2029, 543, 5647, 286, 901, 1576, 568, 28110, 4724, 782, 1153, 2861, 5234, 2818, 945, 723, 513, 1688, 538, 2870, 610, 5885, 1153, 4238, 269, 12815, 5171, 723, 3769, 4928, 3610, 267, 1153, 5728, 2456, 267, 13930, 21246, 1023, 267, 21246, 1023, 267, 543, 824, 1153, 2861, 5234, 563, 1607, 568, 513, 1788, 2861, 1576, 602, 6212, 593, 875, 5616, 29393, 585, 4065, 630, 16598, 25539, 28931, 320, 2442, 6531, 7607, 24194, 1031, 538, 1082, 3506, 267, 9945, 543, 2413, 28737, 1765, 4754, 581, 1031, 607, 3532, 2645, 547, 1628, 811, 3608, 543, 2500, 4238, 1949, 585, 707, 1153, 269, 769, 713, 1576, 267, 596, 786, 1451, 875, 5616, 29393, 585, 4065, 2645, 899, 717, 21166, 267, 25038, 267, 20000, 267, 5616, 26317, 267, 543, 5616, 15858, 666, 581, 1031, 547, 2981, 519, 1259, 960, 4991, 2944, 538, 3506, 676, 5355, 4238, 543, 17306, 32262, 269, 1879, 1031, 3927, 267, 891, 2645, 1291, 547, 3532, 10593, 538, 519, 1259, 2792, 543, 5698, 1491, 1747, 538, 513, 1153, 563, 2026, 513, 1267, 540, 2921, 713, 1576, 267, 3610, 786, 917, 543, 581, 2111, 547, 798, 519, 1739, 912, 268, 3763, 606, 1620, 540, 519, 2934, 540, 606, 2500, 543, 3608, 1062, 547, 1489, 10512, 5773, 543, 32262, 693, 3506, 454, 268, 10576, 2994, 547, 2087, 32262, 610, 12927, 1949, 1210, 5616, 29393, 27798, 4149, 340, 924, 454, 268, 12160, 622, 15222, 3585, 3842, 1357, 8410, 12401, 2899, 513, 3018, 454, 268, 12160, 622, 607, 2106, 11388, 3585, 538, 519, 2228, 1576, 1604, 454, 268, 8073, 513, 3059, 1062, 547, 1489, 513, 1883, 5106, 693, 707, 1153, 547, 20928, 960, 3157, 543, 2333, 1153, 17253, 11413, 454, 306, 22066, 12032, 540, 713, 1576, 17648, 602, 4116, 3401, 267, 741, 9164, 267, 543, 1053, 786, 723, 21781, 25539, 6589, 543, 3457, 585, 946, 538, 519, 1153, 2796, 269, 11819, 3401, 1510, 5616, 29393, 585, 4065, 1058, 3489, 10479, 689, 741, 1153, 6205, 543, 5924, 960, 609, 2029, 5234, 693, 741, 1153, 547, 1305, 909, 513, 12681, 6389, 543, 3593, 6589, 585, 741, 4928, 267, 2319, 267, 610, 3446, 1377, 269, 1677, 9585, 519, 6859, 540, 713, 1576, 267, 5171, 1590, 723, 2834, 1569, 547, 513, 6325, 15291, 609, 6190, 19961, 547, 13918, 519, 946, 540, 5616, 779, 11422, 2861, 3156, 563, 1607, 1362, 786, 581, 6026, 676, 454, 25405, 2884, 320, 21546, 568, 3743, 585, 7598, 543, 9750, 519, 960, 540, 519, 1949, 2319, 693, 1715, 966, 2888, 609, 938, 10500, 6541, 12140, 269, 6969, 4947, 547, 1715, 966, 2888, 267, 1352, 6026, 693, 606, 3486, 1153, 538, 16441, 333, 2967, 267, 3127, 1141, 1352, 2919, 7580, 4566, 585, 2029, 8476, 15285, 269, 13405, 547, 713, 960, 267, 1352, 6039, 607, 513, 4116, 538, 12924, 290, 269, 2701, 6585, 513, 645, 659, 3559, 832, 23422, 689, 853, 269, 3627, 779, 2160, 538, 4065, 269, 8355, 2884, 320, 568, 513, 5616, 26133, 11627, 1807, 585, 1200, 5969, 6316, 267, 6209, 946, 540, 2029, 538, 519, 4928, 563, 1607, 568, 606, 2228, 1362, 563, 17345, 3171, 525, 1299, 32310, 24727, 454, 265, 6124, 966, 2888, 568, 8720, 519, 1576, 12375, 585, 7855, 945, 960, 538, 513, 1715, 966, 2888, 1153, 630, 577, 6621, 610, 8664, 1040, 6423, 938, 2474, 1299, 2175, 2985, 585, 2417, 1344, 3823, 11578, 532, 609, 519, 11298, 292, 585, 623, 29931, 9016, 543, 824, 3877, 971, 607, 938, 32479, 3609, 269, 0, 289, 10667, 15510, 543, 22868, 267, 476, 5197, 271, 338, 268, 6977, 271, 338, 454, 15900, 4563, 11785, 7913, 1325, 2006, 659, 454, 1607, 2985, 6257, 1699, 960, 538, 3356, 547, 32433, 519, 7216, 4563, 11785, 7913, 1325, 2006, 659, 595, 2207, 2464, 3135, 609, 7317, 7851, 543, 824, 2923, 269, 1635, 11160, 13586, 519, 1325, 2006, 659, 998, 519, 5137, 540, 7857, 1242, 7851, 543, 1239, 5036, 267, 621, 3587, 2009, 547, 1930, 909, 1007, 8846, 540, 3140, 14374, 827, 11785, 779, 3109, 2551, 936, 942, 563, 289, 10667, 654, 1841, 267, 476, 6977, 271, 454, 1103, 476, 6977, 271, 267, 519, 13664, 6302, 540, 530, 1841, 941, 4957, 538, 519, 2749, 540, 11785, 269, 901, 1689, 568, 11609, 538, 519, 4786, 547, 519, 1318, 267, 693, 5377, 269, 769, 1931, 547, 1711, 606, 21284, 8858, 6029, 519, 13664, 3892, 540, 11785, 779, 3109, 2551, 693, 713, 942, 267, 649, 1101, 2813, 513, 7857, 1242, 6152, 4786, 630, 27729, 12803, 264, 6029, 713, 20758, 3892, 267, 547, 799, 649, 1131, 2663, 8936, 1239, 10305, 971, 607, 2551, 269, 634, 11251, 7317, 4786, 547, 519, 1318, 267, 693, 1283, 267, 2982, 519, 2164, 540, 713, 7857, 1436, 269, 901, 4786, 729, 2813, 1210, 10507, 686, 20211, 31043, 563, 310, 731, 476, 277, 630, 6826, 13154, 10830, 1070, 476, 6977, 271, 454, 5475, 2870, 519, 14592, 585, 782, 530, 1841, 538, 476, 6977, 271, 338, 11785, 267, 649, 2813, 513, 3337, 12803, 6029, 8265, 7400, 22762, 1845, 585, 24156, 476, 277, 630, 6826, 13154, 10830, 1040, 4635, 8265, 7400, 1239, 689, 7857, 1242, 14829, 5638, 6029, 2551, 7745, 1524, 676, 2085, 267, 3023, 267, 543, 5198, 267, 519, 3804, 568, 547, 8936, 1346, 1239, 607, 10305, 547, 519, 8265, 7400, 4786, 547, 1397, 10502, 1141, 519, 3109, 2551, 729, 7856, 269, 634, 4786, 547, 519, 1318, 267, 2813, 1210, 20211, 31043, 267, 2982, 519, 8265, 14592, 2813, 585, 24156, 476, 277, 563, 291, 13424, 1242, 17227, 23959, 267, 476, 6977, 271, 454, 28415, 14829, 5638, 616, 2139, 585, 519, 2749, 540, 11785, 538, 476, 6977, 271, 269, 1452, 5638, 1683, 2551, 1239, 585, 11785, 1795, 9643, 676, 3023, 267, 2085, 267, 22874, 267, 543, 5198, 693, 519, 13664, 6571, 540, 530, 1841, 543, 10754, 1369, 530, 1841, 269, 4014, 891, 5638, 616, 7857, 1242, 538, 3239, 3898, 630, 553, 7152, 693, 2451, 1070, 519, 1239, 3330, 540, 873, 616, 711, 2047, 2139, 538, 513, 3684, 22345, 762, 3898, 269, 1677, 1118, 621, 2009, 547, 12622, 519, 8265, 7400, 1239, 538, 519, 14829, 7515, 609, 938, 6152, 7851, 267, 649, 7857, 1242, 519, 476, 6977, 271, 11785, 14829, 7515, 585, 782, 530, 1841, 538, 22369, 3898, 269, 634, 2164, 540, 713, 7857, 1436, 616, 3254, 2630, 267, 1141, 8265, 7400, 2551, 1239, 568, 2139, 585, 1142, 20758, 630, 821, 20758, 829, 9184, 4882, 18694, 1916, 2304, 4277, 6602, 689, 713, 7857, 1436, 568, 602, 972, 616, 930, 8320, 538, 519, 7515, 1141, 6592, 6241, 9103, 1023, 8428, 689, 1018, 519, 2698, 1058, 581, 950, 2040, 4364, 2066, 782, 519, 2418, 538, 741, 9757, 9587, 269, 8409, 8320, 540, 24895, 616, 3254, 538, 2699, 538, 519, 22369, 269, 1280, 519, 5301, 540, 713, 1788, 267, 649, 723, 3922, 1242, 3561, 6111, 538, 938, 16606, 936, 10230, 6111, 282, 2705, 267, 950, 649, 6772, 599, 891, 1239, 593, 938, 7857, 1242, 7851, 1657, 267, 649, 786, 8495, 2081, 547, 9414, 1346, 22195, 2047, 593, 519, 4786, 543, 2303, 8846, 585, 2417, 14374, 593, 1946, 891, 3604, 616, 1336, 538, 519, 1239, 1305, 563, 4415, 938, 7857, 1242, 7851, 543, 14829, 1239, 7515, 267, 938, 1985, 1900, 568, 547, 12622, 519, 14829, 1239, 547, 519, 7851, 543, 1711, 7317, 1239, 6106, 585, 3755, 547, 2263, 593, 741, 1378, 269, 21476, 899, 891, 666, 581, 11251, 883, 2104, 15225, 2813, 585, 519, 7216, 4563, 11785, 7913, 1325, 2006, 659, 610, 824, 645, 13612, 3785, 267, 11744, 875, 1114, 645, 13612, 2200, 267, 1239, 5036, 267, 543, 2923, 666, 581, 5283, 4765, 1927, 547, 7520, 4514, 1382, 269, 0, 305, 327, 1712, 6816, 11621, 269, 589, 4005, 568, 513, 1114, 942, 540, 1032, 269, 1703, 616, 2185, 12405, 281, 5162, 267, 5614, 267, 4832, 267, 543, 2887, 269, 634, 2185, 12405, 2141, 2097, 538, 519, 1482, 1931, 269, 15604, 2501, 1101, 538, 519, 1032, 269, 11354, 2501, 1985, 269, 14400, 568, 3791, 269, 12096, 568, 519, 8772, 4005, 269, 1530, 3517, 3142, 1114, 2010, 540, 4365, 563, 17582, 18694, 270, 12585, 10569, 763, 12405, 8018, 270, 12585, 10569, 763, 12405, 8018, 270, 12585, 10569, 763, 12405, 8018, 270, 12585, 10569, 763, 12405, 18500, 270, 12585, 10569, 763, 12405, 454, 763, 2200, 1657, 5330, 547, 519, 4441, 7396, 2630, 912, 305, 327, 1712, 6816, 11621, 454, 6020, 269, 8577, 272, 269, 3047, 543, 6611, 3163, 281, 634, 3618, 543, 3618, 2326, 607, 649, 917, 873, 2221, 723, 2919, 936, 1279, 5712, 540, 942, 267, 998, 31934, 1689, 3157, 563, 8577, 272, 630, 298, 268, 275, 264, 5442, 304, 266, 6347, 292, 268, 275, 269, 11512, 875, 2842, 267, 1216, 267, 610, 4672, 3337, 543, 18534, 1901, 519, 3618, 563, 8577, 272, 630, 298, 268, 273, 9984, 275, 269, 4841, 6542, 606, 1620, 540, 3157, 543, 1689, 936, 942, 1369, 3618, 1949, 676, 2483, 275, 320, 269, 9866, 6326, 543, 10916, 12119, 543, 4365, 2242, 2429, 519, 1153, 1032, 563, 6124, 26073, 4804, 2200, 616, 4628, 13988, 547, 2475, 4065, 11621, 269, 8564, 513, 3044, 2630, 547, 2070, 21374, 547, 707, 5697, 4199, 281, 0, 5278, 14711, 24412, 979, 998, 519, 5614, 3275, 3168, 899, 789, 4076, 1044, 538, 513, 31329, 4339, 269, 14730, 10580, 1472, 2699, 543, 1216, 344, 4064, 616, 513, 4666, 2285, 2476, 267, 711, 547, 2446, 22224, 5609, 4926, 543, 513, 2196, 5500, 9224, 563, 7021, 476, 2412, 2600, 540, 519, 2551, 1995, 28349, 267, 1216, 344, 4064, 267, 4611, 538, 2042, 8151, 689, 7050, 17229, 547, 20747, 787, 4064, 269, 1937, 560, 540, 782, 267, 972, 568, 606, 2799, 7287, 547, 6299, 519, 4064, 269, 901, 568, 519, 2014, 540, 968, 718, 1458, 695, 29794, 3034, 302, 4788, 11959, 267, 610, 3750, 11959, 616, 1100, 1114, 602, 11959, 602, 10880, 824, 2694, 540, 519, 1560, 269, 1358, 4755, 950, 23197, 23480, 543, 824, 5536, 2244, 2047, 593, 519, 2627, 540, 519, 4064, 4929, 16698, 543, 25017, 269, 634, 1560, 267, 7863, 519, 4064, 7472, 606, 936, 629, 1495, 766, 540, 22024, 543, 17229, 602, 1439, 909, 14700, 519, 4064, 563, 6624, 4775, 14711, 24412, 786, 946, 17539, 547, 3382, 519, 4158, 10580, 896, 741, 4064, 267, 711, 16734, 789, 949, 581, 2348, 606, 13027, 5114, 547, 519, 1360, 17539, 789, 616, 1210, 547, 10703, 531, 741, 14711, 269, 631, 2444, 4673, 543, 22442, 10719, 1058, 581, 1031, 609, 13657, 952, 7092, 689, 11959, 563, 763, 1101, 1931, 540, 1870, 1058, 581, 513, 3643, 547, 519, 1904, 2210, 2077, 610, 29555, 332, 6048, 269, 1358, 666, 13209, 707, 1966, 543, 4363, 2126, 269, 1358, 666, 849, 4341, 856, 1022, 5817, 3968, 602, 949, 581, 1459, 563, 763, 1034, 6654, 1576, 540, 2962, 568, 547, 7413, 707, 4598, 547, 519, 23480, 24254, 519, 13027, 3210, 269, 901, 949, 4125, 9363, 16280, 950, 14947, 12523, 616, 1164, 267, 9849, 23475, 28904, 950, 3544, 547, 1832, 14947, 5536, 689, 10024, 519, 4064, 267, 7452, 532, 267, 543, 7738, 19683, 609, 513, 14927, 544, 641, 3079, 540, 513, 3819, 4418, 4177, 563, 22879, 532, 16906, 8673, 267, 5533, 543, 2178, 30851, 949, 581, 5363, 269, 4658, 9849, 3346, 14485, 723, 513, 27162, 615, 1966, 547, 4308, 609, 269, 898, 779, 5227, 602, 789, 711, 581, 1031, 950, 519, 4064, 616, 8886, 730, 269, 6744, 609, 707, 3750, 4387, 563, 8469, 10716, 585, 3750, 11959, 454, 2467, 616, 936, 7308, 23716, 630, 5588, 290, 264, 543, 13310, 6527, 2139, 547, 1521, 3750, 11959, 269, 744, 12839, 5841, 17229, 267, 1232, 784, 652, 1218, 543, 4550, 7290, 26952, 666, 581, 2500, 538, 4227, 2589, 269, 14464, 17229, 616, 3730, 585, 1166, 5241, 519, 23480, 856, 540, 519, 4064, 269, 1452, 2472, 616, 585, 2110, 3856, 946, 563, 15430, 5524, 6527, 666, 581, 1360, 2500, 693, 4227, 2589, 269, 14640, 7290, 26952, 2569, 21422, 267, 25017, 543, 11926, 269, 631, 770, 1591, 11689, 9088, 949, 581, 1031, 547, 948, 2061, 519, 5305, 540, 1277, 26952, 267, 3976, 4227, 2589, 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 ]
[ 1717, 267, 519, 1804, 942, 561, 8985, 1063, 2554, 331, 659, 2747, 543, 22612, 540, 519, 9386, 3350, 4767, 538, 519, 590, 2946, 577, 559, 1329, 928, 543, 5487, 1849, 777, 328, 699, 7725, 331, 728, 9696, 2055, 519, 1483, 24254, 3815, 540, 891, 7725, 331, 1938, 269, 5384, 561, 22663, 540, 1896, 8536, 1296, 941, 849, 1419, 4080, 1063, 2554, 331, 659, 2747, 543, 9386, 5821, 538, 1082, 824, 26949, 1938, 6140, 538, 519, 32595, 630, 293, 32093, 26949, 728, 1496, 296, 11803, 14114, 577, 338, 1696, 620, 1421, 476, 1220, 280, 3910, 22513, 10139, 7725, 331, 728, 1496, 303, 571, 3455, 1696, 620, 1421, 476, 1220, 280, 3910, 25391, 1030, 1564, 26949, 728, 1496, 296, 11803, 14114, 577, 338, 1696, 620, 1421, 476, 1960, 279, 3910, 543, 918, 663, 1068, 531, 26949, 728, 1496, 307, 27903, 1696, 620, 1421, 476, 1220, 276, 316, 1040, 1452, 2090, 3177, 4598, 6502, 1282, 519, 4591, 18152, 950, 2175, 941, 15911, 543, 6632, 614, 267, 543, 30599, 4011, 730, 519, 8367, 540, 20296, 24254, 547, 2491, 519, 5169, 540, 519, 5821, 1496, 306, 1245, 10620, 1696, 620, 1421, 476, 1220, 275, 4940, 1530, 1143, 545, 24254, 814, 849, 1044, 1045, 12097, 547, 2491, 891, 7389, 538, 519, 32595, 267, 607, 6502, 540, 14965, 3186, 8494, 3074, 14626, 728, 609, 519, 29684, 2238, 1496, 26596, 31712, 1696, 620, 1421, 476, 1001, 271, 14073, 1717, 267, 519, 2665, 540, 590, 2946, 577, 559, 1329, 928, 543, 5487, 1849, 777, 328, 699, 3142, 1007, 4030, 883, 519, 1279, 3856, 6384, 540, 1804, 7725, 331, 1938, 267, 6029, 519, 1804, 942, 4336, 540, 4224, 3441, 3157, 269, 769, 891, 1079, 2665, 519, 20296, 3815, 3112, 2491, 519, 11636, 10231, 4767, 936, 811, 982, 476, 8517, 271, 1296, 269, 1323, 4244, 7778, 1223, 4473, 689, 519, 11636, 10231, 1373, 1644, 547, 3441, 4720, 540, 519, 4224, 2527, 269, 634, 1114, 11775, 4767, 5330, 1101, 547, 30553, 540, 519, 5821, 2627, 1510, 1713, 12761, 267, 4553, 676, 513, 5123, 540, 11636, 10231, 2394, 519, 9386, 14543, 269, 1452, 11775, 14626, 728, 609, 1114, 28869, 20816, 4767, 1282, 4224, 3732, 28869, 6901, 1496, 289, 537, 330, 9618, 990, 1696, 620, 1421, 476, 1960, 276, 282, 5696, 656, 583, 1696, 620, 1421, 476, 1001, 274, 4940, 634, 3119, 5123, 540, 28869, 568, 6353, 676, 8833, 2557, 6175, 543, 568, 4553, 676, 513, 24596, 28869, 12512, 1141, 8833, 2557, 543, 6991, 2333, 269, 634, 6991, 568, 16113, 1336, 547, 1246, 513, 1379, 1876, 602, 814, 1044, 1031, 547, 3589, 519, 5821, 1496, 309, 334, 697, 267, 476, 2735, 280, 4940, 634, 6281, 28869, 12512, 4767, 538, 28221, 28869, 6901, 1496, 289, 7949, 583, 1696, 620, 1421, 476, 1001, 274, 3910, 7222, 547, 519, 5912, 1063, 891, 1079, 11775, 267, 568, 3006, 4767, 538, 2470, 1496, 3891, 777, 1696, 620, 1421, 476, 1001, 272, 4940, 19881, 2090, 723, 3254, 602, 972, 568, 513, 11636, 1689, 689, 3119, 547, 24596, 28869, 267, 4603, 958, 1496, 324, 3052, 1421, 1261, 777, 1696, 620, 1421, 476, 1220, 280, 321, 282, 5696, 656, 583, 1696, 620, 1421, 476, 1001, 274, 3910, 6746, 1227, 1496, 288, 2466, 3757, 334, 543, 29581, 560, 21392, 267, 476, 1220, 277, 3910, 543, 2555, 21154, 1496, 14611, 267, 476, 1220, 271, 4940, 18520, 28869, 666, 581, 2808, 607, 519, 5912, 1063, 891, 1079, 3268, 267, 950, 519, 8833, 2557, 9775, 1360, 5594, 269, 9122, 593, 891, 7422, 543, 849, 607, 2907, 3254, 676, 513, 3105, 1353, 1496, 14976, 16170, 537, 328, 1696, 620, 1421, 476, 1220, 280, 3910, 7725, 331, 728, 6384, 543, 28869, 6901, 2671, 1804, 10486, 269, 9603, 547, 891, 10486, 267, 519, 2203, 6069, 538, 713, 1353, 585, 3441, 4720, 543, 7725, 331, 728, 6384, 568, 1098, 12723, 689, 513, 2203, 540, 28221, 28869, 593, 4224, 5439, 1496, 288, 2466, 3757, 334, 543, 29581, 560, 21392, 267, 476, 1220, 277, 14073, 274, 269, 272, 28626, 28100, 7844, 454, 634, 1455, 1935, 547, 18082, 519, 11636, 5821, 540, 28221, 4224, 568, 547, 9772, 606, 13412, 1532, 761, 1479, 13807, 2880, 610, 8833, 27940, 19924, 532, 2203, 269, 901, 1935, 568, 1419, 1759, 593, 513, 5276, 15011, 337, 4211, 9567, 4861, 5821, 21205, 610, 593, 513, 22357, 21205, 971, 607, 519, 14208, 2131, 5174, 3497, 5821, 21205, 267, 1657, 799, 2901, 519, 13412, 3601, 630, 21930, 781, 29870, 543, 5924, 7313, 24480, 781, 5223, 264, 540, 519, 4224, 3732, 1496, 324, 3052, 1421, 589, 2466, 3757, 334, 543, 29581, 560, 21392, 267, 476, 1220, 277, 316, 610, 1570, 4222, 1496, 290, 1335, 12629, 1696, 620, 1421, 476, 1220, 280, 316, 4268, 269, 670, 1690, 328, 629, 323, 565, 332, 1690, 573, 1696, 620, 269, 476, 2919, 513, 2203, 540, 11636, 4224, 5821, 1759, 593, 519, 22122, 2530, 543, 11508, 2333, 607, 5068, 8833, 4679, 269, 901, 2203, 814, 1044, 1031, 547, 18082, 519, 8323, 4720, 693, 513, 6237, 4336, 1496, 294, 1872, 331, 1408, 14741, 543, 595, 28385, 267, 476, 1001, 271, 14073, 589, 2101, 1966, 267, 2705, 267, 14340, 689, 519, 946, 540, 519, 2203, 2919, 676, 670, 1690, 328, 629, 323, 565, 332, 1690, 573, 1696, 620, 269, 476, 547, 18082, 519, 26949, 728, 6384, 269, 901, 2203, 12346, 593, 519, 8367, 602, 519, 4222, 540, 519, 1570, 11081, 1101, 676, 11508, 5786, 543, 1287, 676, 22122, 5786, 1210, 606, 740, 554, 665, 942, 1599, 269, 901, 2306, 621, 2352, 547, 9305, 519, 942, 547, 5821, 547, 1570, 3601, 950, 4224, 4222, 2242, 269, 2201, 519, 14669, 267, 519, 13412, 1532, 761, 1479, 2203, 1138, 12885, 11636, 3441, 540, 7725, 998, 2242, 538, 13412, 3601, 267, 1510, 4657, 741, 4222, 269, 769, 1880, 267, 589, 2466, 3757, 334, 543, 29581, 560, 21392, 476, 20533, 519, 942, 4720, 540, 28221, 4224, 3441, 1210, 942, 3562, 1922, 19691, 4031, 1759, 593, 28869, 6901, 543, 23658, 15560, 11523, 2208, 3069, 1496, 4263, 330, 8657, 267, 476, 2735, 275, 4940, 901, 2203, 10063, 806, 1312, 519, 8901, 3892, 540, 519, 3441, 693, 519, 12550, 2675, 8084, 4336, 543, 922, 13796, 4720, 563, 3371, 12898, 267, 649, 1683, 513, 2110, 6609, 540, 713, 2203, 269, 2859, 3877, 666, 581, 1336, 538, 589, 2466, 3757, 334, 543, 29581, 560, 21392, 1547, 634, 2203, 568, 1759, 593, 942, 3562, 1922, 19691, 4031, 538, 1931, 547, 2203, 519, 942, 4720, 540, 3441, 543, 22636, 896, 28869, 269, 589, 12550, 2675, 8084, 3693, 1775, 568, 6353, 676, 922, 8479, 781, 29870, 661, 328, 269, 1323, 3693, 568, 8697, 950, 519, 19852, 2566, 26018, 593, 713, 3693, 20489, 513, 3441, 12939, 269, 21885, 7422, 676, 1261, 777, 1696, 620, 269, 1496, 1220, 280, 320, 316, 4951, 602, 519, 3441, 12614, 666, 581, 4330, 676, 519, 15011, 337, 4211, 9567, 4861, 21205, 269, 901, 21205, 568, 3976, 6074, 607, 519, 31302, 3441, 12939, 269, 634, 15011, 337, 4211, 9567, 4861, 21205, 568, 1362, 1227, 3989, 676, 519, 22122, 595, 543, 519, 4835, 11508, 5086, 3852, 355, 11341, 3339, 630, 17385, 264, 543, 19852, 2566, 630, 16483, 2187, 901, 3441, 1184, 568, 20533, 998, 519, 6175, 538, 13412, 3601, 540, 519, 3693, 1775, 676, 513, 3815, 667, 630, 271, 283, 291, 283, 272, 2187, 1879, 519, 31302, 12939, 568, 711, 24009, 267, 1775, 4318, 1421, 950, 519, 4294, 2566, 568, 2539, 982, 519, 31302, 4222, 267, 649, 2015, 513, 16607, 3441, 4330, 676, 513, 11979, 9854, 1876, 269, 634, 27261, 540, 942, 18529, 339, 2877, 547, 3914, 519, 16607, 3441, 568, 1759, 593, 7403, 540, 942, 547, 5821, 630, 339, 325, 264, 689, 11979, 9854, 1876, 6901, 267, 799, 2769, 23686, 607, 513, 1599, 540, 519, 2101, 2566, 21566, 272, 543, 519, 31302, 4222, 21566, 271, 912, 763, 942, 570, 271, 814, 1044, 3254, 547, 581, 8200, 593, 519, 9936, 536, 607, 570, 271, 4501, 376, 1163, 6357, 264, 1496, 288, 2466, 3757, 334, 543, 29581, 560, 21392, 267, 476, 1220, 277, 4940, 17817, 630, 274, 264, 20475, 519, 28221, 17795, 540, 7725, 998, 23658, 15560, 11523, 2208, 269, 901, 1184, 568, 1644, 547, 606, 13476, 6213, 3114, 5114, 1063, 3623, 6510, 6125, 543, 1216, 1496, 4263, 330, 8657, 267, 476, 2735, 278, 4940, 769, 7725, 267, 519, 9936, 536, 814, 1044, 3254, 547, 6175, 609, 2810, 11195, 1496, 301, 4673, 1696, 620, 1421, 476, 1001, 271, 3910, 2810, 2837, 1496, 298, 3757, 345, 1696, 620, 1421, 476, 2735, 273, 3910, 13302, 1476, 1456, 2604, 1496, 4263, 330, 8657, 267, 476, 2735, 278, 3910, 543, 2810, 4110, 540, 606, 529, 582, 16552, 540, 519, 12627, 10066, 5958, 1496, 306, 8457, 543, 918, 30186, 267, 476, 1960, 273, 4940, 634, 2039, 540, 536, 9936, 8390, 568, 6508, 689, 28869, 6901, 593, 4224, 5439, 630, 5408, 519, 2689, 538, 589, 2466, 3757, 334, 543, 29581, 560, 21392, 476, 585, 811, 3877, 1040, 1280, 513, 6093, 7725, 331, 728, 267, 2837, 267, 2604, 267, 543, 519, 12627, 10066, 5958, 4268, 2370, 936, 942, 269, 4475, 267, 519, 1292, 7648, 540, 536, 616, 3361, 676, 1216, 10009, 269, 1284, 798, 711, 2705, 2015, 1934, 519, 1198, 540, 1216, 563, 634, 6175, 540, 8479, 781, 29870, 538, 519, 3693, 1775, 5012, 547, 519, 23799, 9084, 540, 17613, 1472, 713, 3693, 267, 799, 666, 1450, 824, 2609, 547, 9765, 519, 12939, 540, 519, 6556, 2566, 21205, 269, 901, 1184, 5932, 606, 1285, 23750, 3832, 540, 2621, 267, 6093, 540, 1082, 5821, 9259, 1496, 313, 1952, 29800, 1696, 620, 1421, 476, 1960, 278, 282, 590, 996, 3534, 1696, 620, 1421, 476, 1220, 272, 4940, 2311, 519, 1439, 540, 519, 1285, 23750, 3832, 267, 519, 2566, 1533, 540, 1142, 3693, 568, 973, 531, 1529, 730, 543, 519, 1184, 568, 12055, 730, 2394, 1100, 824, 3693, 20489, 922, 3441, 12939, 563, 4432, 2880, 4205, 1063, 2609, 543, 519, 30846, 540, 519, 7344, 3601, 1291, 547, 519, 11944, 540, 513, 1950, 12550, 2675, 8084, 2623, 269, 634, 10026, 8297, 696, 999, 1921, 2394, 789, 1106, 513, 12550, 2675, 8084, 19852, 6512, 607, 3441, 2557, 6238, 23960, 267, 799, 14687, 547, 519, 12614, 540, 519, 24596, 28869, 269, 634, 2203, 849, 10063, 806, 519, 1379, 1876, 9178, 540, 519, 2557, 540, 8833, 267, 3441, 2621, 267, 543, 1648, 5305, 2404, 609, 519, 3119, 28869, 12512, 269, 634, 24596, 28869, 568, 849, 1134, 20533, 267, 609, 606, 2333, 540, 891, 1614, 6724, 269, 634, 2203, 3976, 10063, 806, 1082, 3601, 540, 4224, 28869, 607, 4767, 693, 519, 8047, 4336, 267, 1519, 1312, 519, 12550, 2675, 8084, 2623, 607, 849, 20533, 676, 8020, 4435, 22817, 3631, 1496, 289, 7949, 583, 1696, 620, 1421, 476, 1001, 273, 316, 543, 519, 11636, 3441, 31338, 269, 1452, 1079, 7422, 723, 711, 1044, 9676, 9117, 538, 13447, 676, 3105, 9781, 3646, 269, 769, 1880, 267, 606, 2333, 540, 519, 7805, 7313, 24480, 781, 5223, 568, 4767, 693, 519, 12550, 2675, 8084, 4336, 1496, 288, 2466, 3757, 334, 267, 476, 1960, 280, 3910, 5103, 519, 7313, 24480, 781, 5223, 3852, 377, 1373, 6854, 3586, 693, 519, 10026, 4336, 1282, 519, 3441, 1184, 269, 901, 1826, 540, 2241, 2203, 568, 6353, 676, 519, 11944, 540, 12550, 2675, 8084, 3601, 602, 616, 711, 3769, 693, 519, 10026, 4336, 1496, 288, 2466, 3757, 334, 267, 476, 1220, 275, 3910, 1519, 519, 606, 529, 32430, 2470, 540, 519, 3441, 693, 519, 12550, 29173, 5103, 519, 7313, 24480, 781, 5223, 1373, 2808, 607, 513, 22185, 269, 5047, 267, 689, 519, 8097, 1448, 540, 2070, 267, 3105, 2090, 1496, 298, 28739, 543, 1234, 2583, 267, 476, 1220, 275, 316, 723, 3254, 602, 519, 22185, 6041, 540, 3441, 693, 519, 2199, 4336, 1281, 711, 840, 2850, 519, 1434, 6041, 540, 519, 606, 529, 32430, 3441, 693, 519, 12550, 2675, 8084, 4336, 269, 2859, 11840, 730, 7811, 3631, 6236, 9937, 3645, 4082, 540, 519, 3441, 1223, 581, 1031, 3079, 267, 855, 741, 7915, 6988, 543, 519, 1896, 6724, 2877, 840, 2850, 267, 693, 2547, 693, 713, 3942, 540, 938, 960, 267, 741, 3498, 547, 1353, 519, 13796, 4720, 540, 3441, 1369, 513, 4224, 9386, 563, 898, 568, 2705, 1134, 1634, 689, 6901, 602, 519, 7313, 24480, 781, 5223, 27372, 1282, 519, 22636, 540, 7725, 269, 634, 6073, 538, 799, 519, 7313, 24480, 781, 5223, 27372, 9775, 4470, 593, 519, 1826, 540, 4224, 269, 11933, 3749, 9270, 2303, 602, 519, 7313, 24480, 781, 5223, 11081, 538, 519, 1482, 6073, 607, 519, 8479, 781, 29870, 1496, 298, 18779, 344, 543, 13648, 267, 476, 2735, 277, 282 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2101, 1909, 568, 5129, 676, 519, 2344, 269, 4427, 338, 573, 1944, 782, 519, 3812, 9274, 1223, 1267, 538, 513, 16154, 540, 519, 2199, 2344, 269, 21277, 1424, 19844, 689, 21045, 543, 16471, 621, 609, 4620, 1503, 607, 829, 3609, 1223, 1267, 538, 4389, 1104, 12014, 538, 971, 513, 3510, 540, 6433, 269, 3127, 568, 1582, 1606, 755, 7134, 538, 519, 6683, 2872, 267, 543, 519, 2671, 540, 6694, 13143, 538, 2698, 18666, 568, 5111, 476, 1321, 10065, 901, 949, 979, 1524, 1317, 540, 519, 2518, 21748, 267, 865, 6721, 19844, 585, 24846, 6500, 543, 4620, 1503, 6080, 689, 21045, 1426, 9274, 568, 2760, 513, 3983, 2856, 269, 769, 782, 519, 2665, 649, 616, 538, 513, 3094, 2914, 514, 3510, 563, 29209, 569, 713, 568, 513, 6668, 15921, 25954, 1544, 267, 1141, 519, 1152, 1271, 3364, 602, 6927, 568, 6388, 269, 6406, 7239, 543, 2604, 2516, 1590, 2097, 4464, 543, 1832, 513, 2638, 593, 519, 3892, 1062, 269, 1548, 649, 723, 1058, 581, 1031, 4140, 5534, 569, 269, 1284, 723, 811, 982, 1018, 568, 2838, 269, 1284, 1152, 991, 547, 6338, 513, 1697, 3892, 1062, 543, 5078, 18689, 25808, 269, 20876, 519, 18689, 10706, 568, 1776, 2182, 4305, 593, 799, 2229, 1590, 960, 563, 26222, 8128, 543, 2199, 6608, 1058, 581, 1500, 18177, 585, 3160, 3892, 543, 3761, 269, 634, 2229, 1058, 1544, 547, 15814, 24846, 9088, 1932, 267, 998, 623, 9169, 547, 519, 4057, 543, 1970, 13867, 2516, 267, 585, 741, 3106, 607, 789, 616, 1034, 7925, 547, 519, 2068, 269, 634, 1974, 1310, 27579, 568, 519, 1034, 2629, 267, 649, 782, 1590, 1796, 2178, 609, 519, 2229, 547, 2149, 1142, 543, 1169, 8284, 4095, 689, 519, 6855, 269, 0, 763, 654, 14176, 11631, 568, 4947, 689, 606, 3929, 1747, 563, 2467, 949, 581, 7787, 543, 7214, 6114, 7713, 519, 2530, 563, 4913, 282, 6457, 1281, 711, 2232, 519, 3929, 10413, 563, 288, 4651, 270, 18876, 6643, 827, 519, 2915, 12955, 563, 21609, 281, 968, 291, 611, 267, 1946, 1705, 1325, 17763, 723, 547, 5884, 18313, 293, 1430, 281, 968, 296, 1810, 1406, 917, 5067, 269, 898, 2386, 588, 3855, 602, 646, 1705, 543, 594, 4413, 1864, 513, 2603, 3034, 21609, 281, 968, 31800, 1695, 19033, 267, 803, 1932, 3034, 288, 7787, 7778, 540, 519, 2915, 12955, 689, 2085, 267, 513, 19210, 267, 610, 606, 8009, 786, 711, 2232, 519, 1126, 779, 2243, 31827, 689, 519, 10413, 540, 519, 2530, 563, 763, 5385, 1657, 1281, 1082, 1919, 912, 21010, 338, 519, 4651, 609, 519, 1126, 689, 606, 3929, 1747, 563, 293, 1430, 20475, 670, 3041, 4606, 827, 1325, 17763, 563, 763, 1126, 12034, 1010, 4651, 779, 4606, 24018, 543, 28078, 563, 763, 1126, 7959, 2922, 547, 2769, 543, 5968, 4606, 827, 519, 2530, 563, 2467, 949, 581, 513, 1360, 9266, 543, 7214, 3210, 547, 513, 968, 3963, 9495, 543, 972, 949, 581, 513, 1732, 942, 585, 602, 3210, 547, 581, 9447, 610, 2792, 547, 1491, 1747, 563, 4913, 267, 1018, 513, 1268, 949, 581, 3168, 585, 568, 606, 3929, 4276, 563, 6826, 513, 2295, 609, 1079, 10772, 950, 16460, 968, 3963, 286, 6100, 0, 4407, 930, 1004, 8275, 602, 789, 723, 19058, 15601, 267, 1082, 798, 711, 269, 898, 568, 6059, 602, 835, 538, 2947, 7606, 538, 519, 2136, 2276, 814, 19058, 15601, 282, 2705, 267, 607, 1082, 607, 476, 3445, 2600, 616, 23387, 602, 789, 723, 519, 3644, 269, 901, 568, 1317, 1082, 1004, 723, 1360, 7646, 2589, 602, 979, 11389, 322, 1758, 1242, 610, 616, 19451, 585, 1776, 2783, 610, 1100, 2589, 693, 782, 563, 16729, 3742, 3968, 267, 15601, 8290, 3715, 513, 24353, 3968, 538, 10444, 543, 8238, 5669, 14228, 20377, 540, 519, 8401, 1062, 269, 634, 5595, 3613, 8681, 539, 5027, 540, 519, 3644, 568, 11368, 883, 519, 1591, 17550, 676, 3968, 540, 519, 13540, 540, 513, 8229, 781, 1591, 1560, 269, 23034, 26125, 568, 11979, 282, 1100, 3644, 568, 3812, 282, 543, 568, 6417, 676, 513, 1297, 540, 10194, 6090, 267, 1519, 26125, 23938, 13973, 563, 15463, 6647, 968, 339, 3419, 7970, 892, 630, 323, 9057, 1456, 4010, 1018, 5012, 547, 606, 12176, 264, 616, 3810, 1367, 267, 855, 609, 942, 267, 1082, 1004, 1451, 547, 5431, 267, 543, 3006, 2057, 267, 2188, 602, 3100, 547, 2746, 10675, 23034, 538, 741, 1378, 4703, 269, 29520, 267, 4057, 2732, 267, 3929, 610, 2168, 2566, 267, 11508, 538, 519, 19058, 1858, 267, 12675, 4598, 547, 22292, 1769, 630, 21720, 569, 585, 5711, 15601, 267, 971, 607, 513, 11824, 7552, 610, 31562, 15964, 1070, 10551, 8194, 267, 543, 10322, 18042, 6646, 630, 7945, 607, 10447, 2126, 264, 949, 9594, 513, 15601, 12176, 563, 9558, 3939, 540, 23034, 268, 272, 4386, 676, 1463, 4598, 547, 19975, 610, 20256, 4646, 538, 519, 7362, 540, 7783, 2043, 269, 769, 1840, 267, 2960, 3346, 609, 519, 15087, 593, 606, 7783, 1367, 666, 3262, 519, 2068, 547, 1776, 1367, 269, 4014, 2673, 2123, 3346, 568, 2356, 2838, 585, 6771, 540, 519, 3644, 267, 621, 568, 2009, 547, 10141, 23034, 268, 272, 950, 1004, 2671, 5694, 1962, 16640, 267, 6704, 14296, 267, 610, 4189, 27022, 563, 5278, 1004, 723, 20443, 17061, 609, 519, 865, 10777, 968, 5035, 545, 892, 1025, 3563, 6438, 15601, 15087, 602, 12933, 936, 267, 610, 609, 11213, 21399, 269, 769, 20443, 15601, 267, 2705, 267, 713, 1184, 2356, 3217, 827, 3368, 519, 942, 621, 1281, 538, 1101, 14501, 269, 769, 1840, 267, 1082, 1004, 723, 1360, 11029, 3029, 540, 20443, 15601, 602, 12115, 909, 538, 513, 2339, 540, 2395, 269, 1656, 2063, 569, 267, 15601, 568, 5827, 540, 2746, 22899, 1510, 6721, 1022, 7298, 15087, 630, 553, 2096, 24840, 2746, 10474, 1916, 14881, 2186, 540, 666, 1405, 1796, 950, 1004, 2995, 803, 875, 2048, 3630, 557, 685, 594, 993, 585, 6158, 827, 621, 2223, 3081, 700, 778, 2077, 320, 13983, 1723, 267, 476, 1789, 267, 945, 729, 8995, 609, 15601, 3592, 1079, 1032, 3516, 269, 2334, 2186, 540, 2239, 666, 2965, 28511, 519, 16663, 1472, 519, 3644, 269, 1635, 1202, 514, 15070, 602, 6158, 827, 1945, 2306, 2576, 12703, 267, 519, 29943, 568, 602, 602, 3364, 12582, 1406, 581, 14437, 827, 693, 782, 563, 288, 17559, 4466, 568, 602, 811, 2665, 540, 19058, 15601, 982, 2479, 1354, 616, 1631, 1373, 3361, 676, 23034, 268, 272, 630, 1492, 1826, 1034, 1004, 8263, 1152, 3123, 5023, 21399, 1070, 543, 827, 476, 5952, 2600, 540, 1004, 609, 19058, 15601, 1810, 1406, 1256, 917, 621, 269, 630, 278, 264, 5525, 1397, 602, 827, 476, 2004, 2600, 540, 519, 1007, 19058, 15601, 5563, 538, 1762, 4079, 616, 1813, 547, 23034, 268, 272, 543, 827, 476, 2412, 2600, 538, 4587, 4079, 269, 634, 1249, 602, 1034, 1004, 1810, 1406, 2479, 1265, 856, 789, 2461, 7783, 568, 835, 540, 519, 4128, 602, 6771, 3928, 616, 20406, 16246, 269, 0, 7617, 1909, 798, 30824, 342, 902, 543, 17605, 1404, 607, 11975, 540, 519, 20521, 6978, 2381, 518, 538, 8050, 888, 291, 699, 577, 657, 632, 934, 525, 334, 13449, 16966, 454, 18404, 20631, 17004, 2407, 6221, 2594, 454, 290, 7534, 12190, 690, 337, 5451, 325, 3821, 21589, 321, 2033, 10937, 267, 589, 1421, 16334, 10722, 9926, 267, 589, 1421, 717, 1551, 18480, 267, 589, 1421, 10496, 553, 267, 808, 269, 630, 1220, 275, 1040, 6904, 1909, 798, 30824, 342, 902, 543, 17605, 1404, 607, 11975, 540, 519, 20521, 6978, 2381, 518, 538, 8050, 27085, 5053, 4750, 540, 16581, 3194, 267, 476, 273, 630, 274, 1070, 476, 4391, 278, 268, 29575, 563, 1103, 513, 1353, 827, 519, 1764, 540, 2067, 14763, 540, 24695, 961, 665, 333, 626, 529, 3632, 20255, 29543, 2023, 5342, 538, 8050, 267, 32456, 7902, 607, 519, 1034, 1271, 9019, 3815, 269, 20530, 2209, 15527, 547, 2242, 538, 1166, 5241, 267, 543, 713, 729, 11911, 547, 6024, 8244, 540, 4776, 22460, 10352, 8023, 593, 13035, 1166, 16640, 269, 769, 713, 1957, 519, 1909, 540, 21428, 573, 2173, 583, 783, 1235, 543, 2489, 626, 11975, 8023, 593, 30293, 607, 1134, 607, 593, 623, 269, 3632, 20255, 630, 1218, 543, 30824, 342, 902, 267, 6606, 1070, 814, 1044, 11567, 269, 769, 519, 8047, 267, 932, 24075, 6016, 5055, 1286, 12795, 5153, 2380, 1223, 2347, 922, 1646, 950, 10480, 593, 623, 269, 3632, 20255, 3791, 1128, 1513, 1152, 269, 769, 519, 2361, 267, 3810, 19250, 1713, 1036, 11306, 941, 5833, 1063, 10352, 10832, 630, 7469, 573, 5860, 543, 23574, 264, 543, 595, 269, 1286, 12795, 24186, 269, 11048, 267, 1210, 623, 269, 3632, 20255, 5860, 8507, 538, 513, 2942, 2078, 269, 769, 1776, 2361, 4693, 267, 32456, 3928, 1705, 711, 1689, 950, 17605, 941, 16934, 689, 623, 269, 3632, 20255, 19899, 6479, 4054, 269, 4475, 267, 9444, 17605, 267, 6862, 30824, 342, 902, 1223, 581, 4857, 607, 1883, 1790, 1042, 2209, 540, 623, 269, 3632, 20255, 269, 4014, 649, 1223, 711, 6961, 519, 4398, 540, 891, 11975, 267, 891, 2090, 723, 2016, 721, 519, 4960, 547, 1831, 3222, 540, 519, 6228, 540, 606, 1271, 1368, 843, 540, 796, 30009, 2489, 626, 2067, 14763, 269, 0, 265, 667, 1263, 2473, 807, 14563, 281, 3624, 779, 2290, 4132, 8889, 281, 7720, 14765, 281, 476, 1015, 3624, 779, 2290, 16644, 843, 8889, 12700, 282, 30554, 22828, 3690, 7288, 281, 2290, 4132, 8889, 11657, 776, 282, 6789, 17269, 281, 1325, 19258, 27451, 593, 3624, 779, 2290, 4132, 15510, 8889, 454, 291, 1263, 2473, 807, 14563, 281, 3624, 779, 2290, 4132, 8889, 454, 291, 1263, 2473, 807, 14563, 5189, 3624, 779, 835, 1126, 3609, 538, 476, 3192, 279, 268, 8064, 267, 547, 26699, 1107, 606, 3328, 540, 476, 277, 1453, 829, 1920, 1107, 2551, 2208, 269, 2201, 476, 1839, 9484, 476, 2735, 271, 606, 4013, 1857, 4484, 1572, 593, 782, 4961, 547, 15666, 547, 519, 835, 1126, 3609, 269, 634, 2290, 4132, 3609, 729, 21892, 543, 7307, 676, 519, 2817, 15510, 543, 7731, 12020, 8189, 267, 998, 15314, 267, 30373, 543, 28170, 542, 269, 1133, 334, 24810, 5515, 3409, 5111, 476, 4968, 268, 6110, 2929, 24570, 941, 15286, 1063, 476, 3192, 279, 268, 1001, 276, 269, 589, 476, 1220, 279, 5619, 4080, 602, 476, 10602, 260, 540, 519, 4457, 1857, 1489, 519, 1876, 269, 10815, 982, 476, 1015, 260, 540, 4457, 3885, 723, 3144, 5413, 540, 519, 4457, 6608, 11005, 540, 519, 1876, 547, 513, 1079, 1126, 3609, 282, 19696, 2825, 543, 2804, 4128, 585, 741, 15984, 547, 519, 835, 1126, 3609, 4341, 563, 1700, 7720, 14765, 281, 476, 1015, 3624, 779, 2290, 16644, 843, 8889, 12700, 282, 30554, 22828, 3690, 7288, 281, 2290, 4132, 8889, 11657, 776, 282, 6789, 17269, 281, 1325, 19258, 27451, 593, 3624, 779, 2290, 4132, 15510, 8889, 3248, 19770, 7731, 12020, 5403, 619, 912, 3422, 271, 338, 281, 28552, 4332, 1852, 568, 6225, 585, 519, 4027, 540, 519, 1072, 540, 3993, 543, 1126, 282, 476, 3422, 271, 338, 281, 3057, 11538, 3735, 814, 1082, 5383, 282, 476, 3192, 271, 338, 281, 4706, 513, 21829, 18859, 618, 547, 3057, 787, 17623, 282, 6657, 17510, 6513, 585, 519, 7169, 267, 476, 3192, 273, 282, 476, 3192, 275, 281, 5548, 1853, 17510, 6513, 547, 519, 1684, 528, 21163, 282, 476, 3192, 275, 281, 6657, 17510, 6513, 270, 25363, 618, 7731, 12020, 585, 519, 7169, 282, 476, 3192, 275, 281, 7731, 12020, 814, 3509, 22436, 282, 3057, 787, 17623, 585, 519, 7169, 282, 476, 3192, 276, 281, 6657, 17510, 6513, 585, 519, 7169, 1107, 5131, 569, 4675, 29736, 2552, 571, 1061, 1161, 282, 476, 3192, 276, 281, 17510, 6513, 568, 6153, 282, 476, 3192, 275, 281, 5548, 1853, 17510, 6513, 547, 519, 1684, 528, 21163, 282, 476, 3192, 279, 1773, 10165, 623, 13873, 11856, 16200, 5753, 282, 476, 3192, 275, 281, 645, 732, 20584, 24930, 936, 519, 13738, 16645, 1137, 282, 7216, 476, 3192, 271, 779, 281, 634, 1715, 2494, 9346, 630, 307, 15785, 534, 16362, 1040, 1107, 4457, 5403, 619, 281, 15510, 8889, 1496, 300, 294, 281, 476, 2568, 779, 25767, 282, 476, 3583, 779, 25767, 282, 645, 732, 20584, 3220, 25767, 14073, 2704, 19258, 27451, 281, 3624, 779, 2290, 4132, 8889, 912, 19770, 814, 4389, 922, 2551, 676, 7303, 606, 6059, 476, 4968, 2929, 24570, 267, 799, 568, 513, 2484, 3152, 9295, 547, 2916, 1689, 20214, 282, 982, 1022, 824, 2197, 269, 1107, 6789, 17269, 281, 1325, 19258, 27451, 593, 3624, 779, 2290, 4132, 15510, 8889, 563, 763, 835, 30512, 3609, 267, 513, 851, 540, 519, 1920, 4058, 3609, 267, 729, 513, 2551, 4058, 3609, 540, 3624 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 13508, 6009, 2139, 267, 543, 596, 949, 1265, 3054, 2324, 538, 513, 1153, 267, 6413, 267, 28548, 18816, 543, 10076, 2657, 7896, 10029, 630, 306, 4456, 295, 6347, 1070, 610, 4357, 2259, 4259, 269, 2368, 13508, 6009, 2154, 513, 4110, 267, 855, 972, 616, 849, 1082, 3255, 585, 1346, 945, 798, 711, 723, 513, 4110, 855, 616, 5461, 538, 519, 2361, 563, 16676, 5224, 2069, 568, 606, 1271, 851, 540, 1373, 513, 24468, 267, 607, 621, 2636, 596, 547, 3251, 909, 3562, 15082, 593, 519, 5767, 7835, 538, 519, 2361, 269, 11835, 1456, 513, 3318, 3919, 267, 971, 607, 519, 1977, 29960, 5948, 630, 3722, 288, 1070, 666, 849, 948, 596, 24917, 707, 1983, 543, 3060, 609, 824, 24784, 2429, 707, 4876, 563, 1432, 616, 519, 1079, 2010, 540, 24784, 454, 10376, 13508, 1935, 17867, 13508, 267, 7365, 13508, 267, 543, 4876, 13508, 1489, 1114, 1367, 11257, 269, 634, 1614, 1292, 2010, 540, 13508, 616, 2618, 17871, 267, 1480, 2065, 267, 543, 8965, 4485, 563, 20329, 17871, 3797, 267, 849, 1572, 5813, 15129, 3797, 267, 6212, 593, 17499, 3157, 607, 789, 616, 7000, 538, 513, 1268, 779, 1459, 2623, 269, 634, 3804, 540, 713, 1826, 540, 3797, 568, 547, 948, 1004, 1831, 3222, 540, 891, 4835, 3157, 543, 875, 789, 1522, 581, 7133, 741, 2729, 563, 14549, 2065, 3797, 267, 849, 1572, 1268, 19721, 3797, 267, 11363, 519, 991, 585, 1004, 547, 1332, 543, 1020, 269, 901, 1826, 540, 3797, 6212, 593, 519, 1367, 779, 1761, 543, 17613, 519, 2956, 540, 1582, 18221, 267, 2463, 267, 543, 14246, 563, 6826, 24173, 3797, 6212, 593, 4657, 16765, 2623, 269, 634, 3804, 540, 713, 1826, 540, 3797, 568, 547, 948, 1004, 1451, 1007, 267, 811, 2500, 2081, 540, 1969, 532, 269, 901, 1826, 540, 3797, 568, 1419, 1031, 547, 1521, 4160, 543, 943, 984, 5362, 563, 2467, 616, 1100, 1808, 20340, 2877, 547, 1831, 513, 2790, 1072, 1489, 11832, 267, 855, 12820, 2356, 4782, 693, 2547, 606, 715, 309, 304, 1377, 476, 273, 538, 513, 4143, 1858, 971, 607, 1072, 543, 1514, 1416, 269, 901, 5849, 602, 519, 1489, 11832, 814, 519, 2556, 1983, 543, 1702, 547, 1683, 2500, 1489, 547, 1004, 609, 2790, 1072, 2042, 563, 1692, 798, 594, 1376, 2324, 538, 519, 2790, 1072, 2361, 454, 2252, 596, 1616, 547, 1831, 513, 24468, 267, 972, 616, 513, 1906, 3268, 596, 991, 547, 1246, 269, 3689, 267, 7118, 513, 20277, 779, 4110, 269, 3973, 267, 7118, 513, 4487, 779, 4110, 269, 8921, 267, 1491, 519, 2817, 21835, 528, 22410, 610, 519, 2817, 11916, 10076, 2657, 29960, 22410, 269, 2991, 602, 267, 1205, 2361, 1995, 269, 7053, 267, 1205, 13931, 676, 707, 1533, 269, 5457, 547, 3136, 707, 2069, 547, 3251, 14468, 563, 1103, 1931, 547, 1831, 513, 10076, 2657, 8081, 4518, 518, 267, 972, 616, 1100, 1808, 7127, 4170, 269, 1717, 267, 12820, 2356, 4782, 10457, 945, 723, 3782, 610, 2790, 1072, 20340, 267, 543, 5924, 4143, 1995, 269, 901, 2337, 547, 2327, 602, 519, 11134, 568, 5432, 609, 519, 960, 602, 789, 786, 581, 3257, 543, 616, 2111, 547, 5265, 1489, 1004, 609, 2790, 1072, 2175, 563, 1692, 1279, 568, 513, 2790, 1072, 4110, 454, 763, 23244, 3972, 568, 513, 1390, 1259, 547, 1451, 827, 519, 1114, 3344, 540, 519, 3782, 2872, 269, 1411, 786, 581, 2111, 547, 1451, 827, 1114, 3972, 338, 543, 519, 1259, 789, 7500, 269, 1411, 786, 849, 1205, 547, 1995, 2324, 538, 513, 3099, 540, 1114, 5468, 563, 4942, 548, 15318, 3912, 568, 519, 15864, 2564, 2361, 547, 1205, 883, 269, 3487, 540, 707, 2866, 666, 2097, 2228, 267, 543, 609, 606, 18965, 1982, 267, 596, 666, 581, 4712, 585, 707, 1533, 6132, 839, 675, 981, 538, 896, 513, 1032, 563, 2710, 5369, 32407, 1118, 513, 2603, 540, 2724, 454, 763, 5207, 9878, 18673, 11678, 23269, 3328, 1472, 1269, 15757, 267, 1822, 269, 1717, 267, 621, 568, 1271, 547, 1832, 538, 2247, 602, 4890, 4747, 666, 4268, 7494, 4470, 593, 1896, 2188, 267, 971, 607, 13664, 4087, 267, 7694, 5823, 267, 3872, 4282, 267, 543, 1296, 540, 1995, 269, 4475, 267, 952, 596, 616, 5461, 538, 13197, 513, 4876, 538, 6530, 267, 621, 568, 1271, 547, 798, 707, 1382, 538, 1931, 547, 1265, 856, 1018, 596, 666, 2503, 547, 7118, 538, 707, 1808, 3510, 563, 288, 8905, 547, 4742, 513, 11727, 5646, 8688, 528, 666, 1491, 1614, 547, 2185, 1296, 267, 543, 5161, 540, 1614, 5933, 269, 3689, 267, 596, 3580, 7390, 24875, 267, 543, 6108, 513, 2603, 540, 942, 593, 4830, 1353, 269, 1411, 3580, 849, 798, 1747, 906, 267, 15569, 267, 543, 538, 930, 2665, 267, 2123, 3797, 269, 2991, 11264, 782, 1614, 5933, 267, 596, 3580, 581, 11727, 547, 960, 607, 513, 5646, 8688, 528, 563, 3674, 513, 623, 8461, 538, 29960, 4502, 621, 454, 28606, 940, 606, 4359, 4110, 2636, 24784, 547, 723, 811, 4876, 3255, 1930, 547, 873, 269, 21835, 832, 609, 606, 12236, 4387, 622, 616, 2693, 547, 581, 1382, 19971, 267, 14519, 267, 29801, 267, 610, 4357, 2259, 5411, 269, 5015, 267, 1082, 24784, 1265, 602, 8066, 513, 4387, 622, 2636, 873, 547, 4971, 513, 2362, 14057, 563, 288, 24468, 779, 14057, 538, 519, 2136, 2276, 5673, 593, 1082, 2188, 267, 971, 607, 519, 1826, 540, 13508, 789, 2259, 267, 741, 1995, 267, 543, 741, 4087, 269, 634, 3328, 24468, 14057, 568, 1269, 4037, 267, 279, 7830, 607, 540, 5130, 476, 2918, 267, 476, 1708, 274, 267, 855, 519, 14057, 2039, 3335, 8813, 1063, 1269, 7597, 267, 25838, 543, 1269, 5952, 267, 278, 3199, 563, 4692, 596, 1118, 476, 277, 5515, 607, 513, 24468, 454, 2467, 616, 513, 1297, 540, 2081, 547, 5352, 3670, 5515, 607, 513, 4357, 2259, 13309, 269, 769, 713, 2376, 267, 594, 6557, 2469, 547, 2671, 875, 594, 5352, 3670, 5515, 513, 1032, 1247, 2324, 851, 6066, 607, 513, 4357, 2259, 13309, 269, 1635, 2324, 851, 6066, 543, 10451, 3670, 5515, 267, 594, 6557, 2111, 547, 723, 513, 8273, 1764, 593, 1250, 7218, 267, 1118, 513, 1390, 2713, 267, 543, 723, 811, 942, 585, 1250, 2123, 1272, 269, 1403, 596, 2461, 3168, 547, 1118, 513, 2147, 4747, 267, 594, 5000, 596, 547, 2263, 519, 3255, 602, 4357, 2259, 3797, 3091, 563, 4407, 1034, 2829, 798, 1450, 1004, 1510, 5232, 547, 960, 538, 1978, 13508, 7158, 267, 1153, 24784, 543, 1346, 3246, 4791, 13508, 2533, 1590, 723, 513, 4110, 269, 901, 568, 547, 2327, 602, 891, 7158, 616, 4904, 676, 11727, 543, 5265, 8036, 2043, 563, 288, 2790, 1072, 24468, 666, 1118, 513, 1360, 6899, 2713, 269, 4107, 1118, 1063, 1269, 1789, 267, 1822, 543, 1269, 2004, 267, 1822, 513, 1032, 269, 3509, 1118, 1454, 811, 563, 2467, 568, 1100, 835, 20695, 1922, 1080, 22433, 2626, 547, 713, 2243, 267, 607, 2790, 1072, 24784, 666, 1118, 513, 3099, 540, 23269, 4470, 593, 741, 1995, 267, 4087, 267, 543, 6074, 2361, 540, 2259, 269, 1717, 267, 1034, 2790, 1072, 24784, 1867, 15980, 606, 5993, 14057, 1063, 1269, 1789, 267, 1822, 543, 1269, 2004, 267, 1822, 269, 2368, 24784, 1118, 3648, 811, 982, 713, 267, 1247, 1866, 949, 1118, 1447, 269, 11086, 267, 1018, 513, 2790, 1072, 24468, 1274, 985, 5673, 593, 1082, 1367, 2188, 269, 0, 288, 525, 641, 630, 15132, 320, 476, 30663, 645, 5861, 269, 1107, 2235, 320, 476, 28794, 645, 5861, 13776, 513, 5259, 5856, 540, 774, 571, 857, 534, 5169, 267, 568, 4583, 585, 1010, 535, 1963, 267, 5837, 10752, 267, 543, 23278, 4925, 563, 2171, 15974, 596, 835, 540, 873, 267, 3226, 4277, 593, 519, 6249, 540, 1072, 281, 634, 590, 1157, 2494, 543, 519, 16362, 269, 901, 535, 762, 568, 2110, 267, 799, 568, 849, 513, 4222, 540, 713, 1603, 269, 898, 14550, 519, 2856, 602, 2790, 1072, 568, 811, 3407, 982, 5763, 543, 2934, 513, 3461, 945, 23297, 1072, 936, 2724, 6035, 676, 513, 4387, 547, 10826, 1010, 4576, 563, 15578, 13698, 2316, 7728, 6730, 5990, 11298, 6311, 3036, 454, 288, 7210, 812, 267, 4280, 827, 1010, 2783, 676, 519, 4387, 267, 14452, 602, 646, 1185, 4418, 730, 811, 982, 646, 1058, 563, 2108, 6546, 779, 5386, 2223, 1767, 519, 4387, 563, 16485, 539, 513, 2034, 942, 827, 1010, 1072, 267, 646, 1767, 602, 646, 1185, 1044, 695, 1853, 532, 543, 695, 2586, 21354, 563, 2108, 6546, 779, 5386, 1932, 2223, 519, 4387, 1767, 563, 288, 3791, 942, 519, 4387, 3357, 547, 1864, 267, 543, 4280, 1864, 827, 1010, 4576, 269, 1261, 12943, 602, 646, 1185, 1185, 13165, 563, 2108, 6546, 779, 5386, 1932, 2223, 1767, 519, 4387, 267, 543, 646, 24013, 4319, 563, 3080, 540, 1010, 14077, 3357, 547, 1294, 1864, 543, 4280, 1864, 875, 646, 729, 3257, 281, 968, 9288, 2223, 646, 14452, 267, 968, 296, 6557, 12955, 689, 1373, 1134, 3034, 2005, 568, 1419, 865, 281, 938, 12543, 267, 32198, 1152, 676, 519, 21286, 5920, 267, 2015, 721, 6126, 585, 1919, 602, 27808, 569, 2014, 721, 519, 6574, 28194, 563, 288, 525, 641, 779, 674, 1963, 267, 634, 590, 1157, 2494, 543, 519, 4284, 6509, 454, 273, 4555, 593, 968, 763, 590, 1157, 2494, 543, 519, 4284, 6509, 1107, 589, 525, 641, 779, 674, 762, 7536, 10673, 1406, 5855, 12359, 773, 267, 594, 6557, 972, 693, 7070, 7313, 630, 514, 11359, 1032, 1040, 634, 2898, 3364, 568, 1657, 782, 711, 547, 581, 24330, 676, 713, 2186, 540, 695, 629, 2421, 8292, 630, 5408, 5981, 264, 5497, 547, 11851, 12572, 5208, 547, 1118, 596, 3494, 602, 519, 6735, 568, 538, 17739, 1043, 269, 2060, 602, 267, 1434, 9939, 547, 596, 2336, 7312, 2376, 1797, 513, 2603, 547, 803, 256, 11289, 596, 865, 1454, 454, 4467, 906, 616, 6806, 269, 0, 1432, 568, 519, 3017, 1063, 1347, 513, 815, 834, 11415, 21968, 543, 1347, 2608, 335, 815, 834, 11415, 21968, 7790, 1691, 476, 4343, 272, 4029, 454, 305, 841, 3118, 19684, 4604, 630, 290, 1156, 333, 2967, 264, 28133, 23910, 19684, 6514, 476, 1220, 277, 1299, 476, 1220, 276, 2243, 4574, 269, 1015, 476, 3607, 274, 10619, 454, 1692, 547, 14202, 2923, 946, 4452, 14725, 1676, 286, 594, 2594, 519, 7097, 855, 621, 3111, 1317, 519, 1283, 540, 3561, 568, 1045, 531, 9179, 32289, 547, 4194, 519, 1966, 286, 7617, 835, 917, 519, 2626, 5225, 2995, 803, 269, 8729, 256, 9965, 273, 454, 1432, 616, 1239, 2736, 9557, 286, 274, 476, 278, 7830, 278, 454, 1432, 616, 3787, 4610, 286, 1548, 568, 741, 946, 286, 273, 476, 276, 1704, 280, 454, 2237, 3009, 585, 693, 16211, 3287, 264, 1141, 1535, 568, 15279, 1228, 31565, 5569, 269, 276, 476, 26237, 6434, 454, 2237, 3009, 585, 4466, 3178, 540, 3529, 273, 476, 4366, 273, 274, 454, 10521, 781, 5360, 2939, 540, 910, 7918, 476, 278, 4343, 278, 454, 290, 4878, 289, 1080, 3287, 28872, 19885, 11971, 264, 5299, 562, 700, 306, 24871, 689, 586, 547, 1535, 4358, 700, 306, 289, 693, 1412, 335, 1405, 327, 2990, 269, 280, 476, 280, 2641, 274, 454, 6343, 568, 20444, 935, 14808, 286, 273, 476, 2568, 279, 274, 454, 8070, 1715, 23489, 19877, 5999, 454, 1432, 568, 519, 946, 540, 960, 4099, 538, 2144, 335, 1062, 609, 2463, 547, 3761, 5832, 2359, 1184, 888, 1432, 1281, 513, 546, 9346, 798, 782, 1554, 888, 1432, 616, 13483, 331, 20842, 675, 31216, 3652, 888, 3963, 5569, 568, 1031, 538, 524, 888, 4692, 536, 560, 2270, 5918, 27289, 888, 4692, 596, 2491, 519, 1184, 540, 11706, 888, 4692, 596, 22599, 669, 330, 1091, 330, 1247, 621, 781, 4881, 888, 1432, 616, 519, 700, 10485, 17161, 888, 1432, 616, 11393, 540, 700, 2562, 304, 936, 853, 1819, 30332, 888, 1432, 568, 9486, 24413, 593, 1250, 2780, 888, 1692, 547, 1711, 3350, 1826, 888, 1432, 568, 3017, 1063, 886, 543, 15429, 15017, 1432, 568, 606, 6418, 1362, 538, 28162, 888, 1692, 547, 2328, 1915, 5569, 21635, 610, 2148, 1023, 538, 20444, 13483, 331, 7746, 888, 1432, 568, 5680, 18218, 24159, 286, 0, 1103, 2489, 267, 6986, 3134, 20293, 759, 1231, 666, 581, 1767, 547, 581, 2808, 1875, 3562, 13877, 267, 519, 1981, 540, 3441, 3361, 676, 28453, 540, 3134, 20293, 18300, 666, 581, 2808, 1360, 1507, 269, 4107, 27955, 8069, 1031, 2221, 723, 930, 17219, 269, 1809, 513, 9425, 1804, 4320, 540, 3441, 568, 2877, 267, 799, 4386, 10502, 1317, 540, 17219, 269, 1411, 1058, 5265, 26565, 540, 707, 3134, 20293, 547, 2149, 3054, 543, 519, 1604, 563, 22977, 20293, 18300, 568, 6757, 547, 7286, 1272, 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 ]
[ 4311, 2187, 1038, 8173, 2018, 7348, 10790, 311, 318, 4596, 7838, 306, 2464, 1034, 3407, 6035, 6030, 563, 1038, 8173, 1038, 782, 6831, 12973, 815, 1592, 4311, 269, 4752, 1229, 6831, 12973, 26509, 542, 4311, 269, 523, 9776, 6831, 12973, 4917, 1038, 782, 6831, 12973, 31699, 31107, 284, 14433, 524, 281, 1582, 269, 2181, 12401, 18380, 314, 322, 3910, 9258, 18989, 994, 1038, 24693, 815, 782, 6831, 12973, 314, 271, 281, 6247, 269, 7246, 311, 318, 4596, 7838, 306, 2464, 2639, 1038, 2132, 24693, 692, 825, 1219, 1205, 318, 13231, 344, 15258, 5091, 652, 10614, 4311, 2187, 1038, 8173, 2018, 2037, 2651, 538, 909, 547, 10790, 311, 318, 4596, 7838, 306, 2464, 1034, 3407, 6030, 267, 3097, 2018, 543, 18385, 4894, 1582, 689, 519, 824, 1576, 8638, 563, 1038, 8173, 1038, 24693, 815, 1582, 10947, 318, 13231, 344, 15258, 10797, 1038, 7947, 338, 815, 1496, 322, 585, 524, 538, 1582, 269, 4752, 1229, 6831, 12973, 952, 524, 711, 538, 24693, 6540, 1038, 1948, 5410, 7608, 6030, 547, 24693, 454, 1038, 585, 1576, 538, 24693, 912, 2018, 1582, 269, 523, 2651, 6262, 6847, 2020, 1038, 1948, 17179, 1582, 689, 1576, 8638, 630, 16451, 532, 909, 9634, 994, 1038, 585, 1576, 538, 7947, 338, 912, 2018, 1576, 26509, 523, 2651, 4311, 2020, 1038, 1948, 5842, 640, 2638, 454, 1038, 1582, 269, 4752, 1229, 6831, 12973, 6155, 29924, 318, 26303, 4311, 269, 523, 9776, 6831, 12973, 2020, 1038, 2132, 24693, 692, 825, 1219, 18934, 4311, 267, 1576, 2187, 1038, 8173, 2018, 12079, 6053, 18934, 538, 513, 1576, 454, 1038, 8173, 1038, 952, 1582, 269, 13757, 318, 3336, 10031, 2018, 1582, 269, 523, 9776, 6831, 12973, 14491, 6262, 6847, 2020, 825, 1219, 4894, 318, 4944, 582, 4311, 267, 1576, 2187, 1038, 8173, 2018, 17179, 513, 6092, 5544, 2709, 563, 1038, 8173, 1038, 952, 1576, 538, 1582, 269, 4752, 1229, 6831, 12973, 912, 2018, 1582, 269, 4752, 1229, 6831, 12973, 31927, 6262, 6847, 2020, 825, 1219, 1205, 318, 13231, 344, 15258, 19056, 4311, 2187, 1038, 8173, 2018, 17776, 2698, 10626, 540, 1353, 3556, 547, 2875, 563, 1038, 8173, 1038, 1353, 15258, 815, 1582, 10947, 318, 13231, 344, 15258, 4590, 1038, 2132, 2040, 8443, 1345, 269, 2181, 12401, 18380, 314, 322, 316, 585, 524, 538, 1353, 15258, 20285, 825, 1219, 814, 318, 3336, 4311, 2187, 1038, 8173, 2018, 17776, 3020, 952, 2875, 814, 4055, 538, 741, 1353, 15258, 563, 1038, 8173, 1038, 2132, 7003, 4311, 269, 523, 9776, 6831, 12973, 264, 2999, 1526, 269, 7246, 311, 318, 4596, 7838, 306, 2464, 692, 825, 1219, 6449, 516, 1440, 9191, 1345, 2187, 1363, 2132, 1193, 4311, 14857, 327, 1662, 1029, 15405, 0, 5814, 19523, 454, 3698, 2569, 263, 6050, 2187, 825, 5136, 329, 6944, 11456, 322, 17010, 815, 11713, 825, 585, 1899, 538, 3515, 912, 1038, 1899, 815, 1899, 21858, 2891, 2437, 994, 1038, 2749, 815, 1899, 314, 271, 2639, 1038, 3902, 815, 1899, 314, 272, 2639, 1038, 1032, 815, 1899, 314, 273, 2639, 1038, 952, 1032, 2652, 262, 1001, 276, 262, 543, 2749, 2652, 262, 560, 600, 5112, 12466, 2018, 5136, 329, 6944, 11456, 322, 17010, 6910, 263, 23748, 994, 825, 5136, 329, 6944, 11456, 322, 17010, 31699, 4590, 825, 2132, 5136, 329, 6944, 11456, 322, 17010, 454, 6050, 815, 11713, 1721, 1899, 538, 19523, 14714, 19734, 912, 825, 3515, 6910, 263, 1467, 14714, 8692, 15405, 320, 815, 2569, 263, 6050, 994, 1721, 3902, 538, 513, 912, 825, 4934, 815, 1193, 263, 23748, 994, 825, 1820, 263, 11073, 264, 0, 5035, 8827, 912, 825, 1219, 1305, 313, 3266, 525, 4311, 267, 5119, 2187, 1038, 8173, 1038, 2433, 6943, 5119, 281, 5903, 314, 8266, 27776, 27663, 1038, 2433, 337, 6943, 281, 20704, 1684, 711, 2132, 4376, 267, 12189, 5119, 538, 268, 2897, 3079, 563, 1038, 29185, 1038, 952, 711, 5119, 912, 2018, 2132, 692, 1038, 4463, 815, 7003, 263, 9795, 994, 1038, 8700, 815, 7003, 263, 9795, 314, 271, 20285, 1038, 1219, 1535, 318, 24029, 3287, 2187, 2018, 585, 1775, 538, 2039, 263, 19417, 2187, 3546, 5119, 5157, 6012, 343, 316, 815, 476, 271, 692, 1038, 1219, 586, 318, 24029, 12169, 2187, 2018, 513, 815, 5119, 314, 344, 2639, 2018, 585, 1775, 538, 2039, 12759, 5416, 15892, 3546, 513, 5157, 316, 815, 476, 271, 692, 1038, 1064, 815, 27883, 343, 11971, 264, 585, 1535, 538, 2039, 263, 12296, 264, 585, 586, 538, 2039, 263, 19417, 264, 952, 5119, 314, 344, 6012, 343, 316, 2652, 476, 271, 2639, 1038, 1535, 338, 815, 2715, 343, 585, 1535, 267, 318, 538, 1064, 8679, 1038, 586, 338, 815, 2715, 344, 585, 9041, 267, 344, 538, 1064, 10926, 1038, 1496, 343, 318, 24029, 3287, 264, 585, 1535, 538, 1535, 338, 2639, 1038, 1496, 344, 318, 24029, 12169, 264, 585, 586, 538, 586, 338, 6540, 454, 3698, 1292, 10031, 825, 5119, 815, 1496, 454, 1038, 1496, 271, 267, 476, 272, 267, 476, 273, 267, 476, 271, 16689, 1038, 1496, 274, 267, 476, 275, 267, 476, 276, 267, 476, 273, 16689, 1038, 1496, 272, 267, 476, 274, 267, 476, 272, 267, 476, 276, 2639, 825, 23378, 825, 8827, 14061, 3553, 313, 3266, 525, 263, 9795, 994, 825, 1820, 263, 9795, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590, 0, 5035, 8827, 912, 825, 1219, 5635, 309, 619, 542, 4311, 267, 4528, 272, 267, 4528, 273, 2187, 1038, 8173, 1038, 2433, 6943, 4528, 272, 281, 1193, 454, 1038, 2433, 6943, 4528, 273, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 13872, 1038, 642, 272, 23637, 815, 4528, 272, 21858, 3488, 269, 5073, 1038, 642, 273, 23637, 815, 4528, 273, 21858, 3488, 9538, 2020, 1038, 1247, 642, 272, 23637, 543, 642, 273, 23637, 912, 2018, 642, 272, 815, 703, 17635, 272, 23637, 21014, 263, 271, 4917, 2018, 642, 273, 815, 703, 17635, 273, 23637, 21014, 263, 271, 11723, 692, 2018, 952, 642, 272, 3436, 642, 273, 912, 3546, 2132, 476, 272, 454, 27030, 2018, 952, 642, 272, 2999, 642, 273, 912, 3546, 2132, 910, 272, 692, 1038, 1820, 17635, 272, 23637, 994, 1038, 1820, 17635, 273, 23637, 994, 13872, 1038, 952, 642, 272, 23637, 543, 711, 782, 263, 14403, 2652, 1412, 271, 262, 585, 6221, 538, 642, 272, 23637, 2187, 2018, 2132, 476, 272, 454, 1038, 952, 642, 273, 23637, 543, 711, 782, 263, 14403, 2652, 1412, 271, 262, 585, 6221, 538, 642, 273, 23637, 2187, 2018, 2132, 910, 272, 692, 1038, 2132, 476, 271, 692, 3698, 1292, 10031, 825, 1820, 263, 11405, 14061, 4818, 732, 309, 619, 542, 3488, 272, 12887, 272, 269, 272, 10807, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 1292, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 5228, 6449, 325, 1956, 1029, 1104, 27033, 1712, 9078, 3438, 1023, 692, 8999, 815, 476, 271, 692, 258, 585, 1535, 538, 1496, 272, 267, 273, 267, 274, 267, 275, 267, 276, 267, 277, 267, 278, 267, 279, 267, 280, 14158, 258, 476, 453, 8999, 815, 2040, 21147, 454, 258, 476, 13537, 2040, 692, 258, 30006, 498, 417, 28187, 9792, 263, 276, 264, 13200, 509, 29873, 7511, 31365, 28578, 15159, 10524, 492, 271, 19764, 478, 417, 356, 489, 16533, 493, 30678, 276, 7511, 10533, 368, 12255, 16088, 454, 258, 2039, 263, 276, 994, 258, 1820, 263, 9792, 263, 277, 11723, 258, 2040, 815, 476, 271, 454, 258, 585, 1535, 538, 2039, 263, 6200, 2187, 258, 476, 453, 8999, 815, 2040, 21147, 454, 258, 476, 13537, 4433, 636, 2020, 258, 2040, 815, 476, 271, 454, 258, 562, 815, 476, 4200, 454, 258, 1247, 562, 285, 271, 912, 258, 476, 453, 8999, 6834, 562, 454, 258, 476, 453, 333, 20699, 476, 273, 454, 258, 476, 13537, 2040, 692, 258, 4332, 815, 3403, 3488, 19689, 281, 30386, 258, 4332, 815, 476, 9340, 454, 258, 952, 4332, 2999, 476, 1220, 271, 912, 258, 476, 13537, 1412, 876, 336, 1014, 7055, 258, 3116, 912, 258, 476, 13537, 1412, 876, 17924, 28847, 258, 323, 5315, 32352, 417, 508, 489, 454, 258, 546, 815, 27835, 28061, 9166, 476, 4817, 267, 1412, 7692, 9166, 476, 4037, 267, 1412, 307, 6483, 9166, 476, 5952, 8679, 258, 546, 9131, 3849, 600, 11172, 815, 476, 6858, 692, 258, 1820, 1412, 6062, 7773, 262, 538, 546, 7531, 258, 1820, 2612, 263, 1911, 2020, 258, 1820, 4699, 335, 263, 272, 267, 273, 2020, 258, 1820, 703, 263, 1321, 269, 8660, 2020, 258, 1820, 27033, 1712, 263, 1911, 2020, 258, 1948, 16583, 30936, 12571, 491, 10429, 370, 14395, 508, 16533, 365, 15159, 418, 490, 485, 12571, 495, 22047, 16583, 30936, 28098, 420, 365, 350, 7511, 19764, 499, 17958, 8147, 14395, 490, 10429, 357, 23746, 23284, 418, 488, 488, 16583, 30936, 12571, 491, 420, 369, 489, 14756, 503, 22047, 9463, 502, 19404, 493, 8147, 25203, 372, 25051, 497, 30678, 14756, 503, 30244, 14748, 16583, 30936, 420, 369, 371, 29072, 22047, 2108, 10254, 360, 12571, 491, 892, 16088, 692, 258, 513, 815, 2612, 1948, 476, 9463, 502, 19404, 493, 320, 418, 490, 485, 12571, 495, 11274, 16583, 30936, 454, 258, 1820, 513, 8987, 272, 264, 1948, 17276, 487, 478, 23284, 18263, 509, 23746, 23284, 20881, 504, 13213, 485, 320, 420, 364, 481, 17958, 11274, 16583, 30936, 7531, 258, 1219, 1101, 6958, 684, 3287, 2187, 258, 476, 14851, 711, 568, 27349, 3287, 2073, 630, 842, 267, 10581, 15892, 258, 476, 453, 453, 571, 1047, 7392, 13286, 3488, 21112, 1766, 663, 1826, 5073, 258, 476, 453, 16596, 1412, 515, 515, 7055, 258, 476, 14851, 1535, 285, 284, 271, 912, 258, 476, 453, 16596, 1535, 454, 258, 476, 28432, 912, 258, 476, 453, 16596, 910, 343, 454, 258, 1101, 6958, 684, 263, 11277, 11277, 2020, 692, 258, 1219, 562, 641, 10031, 258, 476, 453, 10139, 258, 22287, 510, 12916, 491, 31033, 692, 258, 1820, 1101, 6958, 684, 3488, 288, 10807, 453, 19638, 5814, 2979, 454, 3698, 1847, 3287, 11971, 267, 21163, 267, 4120, 284, 271, 2187, 825, 562, 343, 815, 1535, 1341, 1900, 2608, 2979, 269, 6523, 263, 4120, 994, 825, 562, 344, 815, 586, 910, 1900, 2608, 2979, 4732, 514, 263, 4120, 994, 825, 2132, 562, 343, 267, 5500, 692, 337, 815, 1847, 263, 1911, 267, 1911, 267, 2568, 267, 4118, 32564, 270, 277, 994, 2745, 678, 7531, 3698, 4009, 3287, 2073, 586, 2187, 672, 521, 815, 1535, 1262, 344, 454, 672, 2132, 521, 454, 2745, 4009, 263, 276, 267, 274, 2020, 3698, 1379, 3287, 19885, 815, 476, 273, 2187, 825, 521, 815, 476, 272, 454, 825, 1247, 562, 285, 271, 912, 1038, 562, 815, 562, 268, 272, 454, 1038, 521, 815, 521, 20080, 454, 825, 2132, 521, 454, 2745, 1379, 263, 1015, 2020, 3698, 1039, 318, 754, 27331, 22561, 2187, 825, 952, 700, 568, 7183, 912, 1038, 700, 815, 11713, 1038, 700, 6910, 3488, 17484, 5073, 825, 2132, 700, 454, 2745, 1039, 318, 754, 4590, 2745, 1039, 318, 754, 30800, 258, 13127, 362, 504, 18263, 487, 23746, 9463, 502, 9463, 480, 12255, 25520, 27936, 18263, 487, 4289, 16043, 500, 14654, 921, 9463, 480, 12255, 25203, 372, 30006, 498, 8147, 10524, 483, 10524, 483, 21928, 9463, 480, 12255, 31176, 491, 30837, 351, 20693, 510, 29072, 22047, 265, 9463, 371, 12486, 21928, 16583, 30936, 19540, 483, 421, 481, 357, 8147, 454, 258, 9463, 480, 12255, 11133, 1499, 26406, 354, 418, 498, 370, 28996, 7511, 15159, 22047, 14654, 921, 8147, 18713, 510, 27882, 353, 8147, 16583, 30936, 28786, 419, 510, 479, 14395, 490, 10429, 357, 21251, 9463, 502, 12486, 12916, 484, 15159, 8147, 420, 364, 481, 17958, 13644, 354, 16583, 30936, 28793, 8147, 23746, 23284, 25263, 510, 24662, 10524, 375, 418, 482, 493, 14748, 9463, 480, 12255, 8147, 25060, 483, 418, 489, 361, 271, 14748, 9463, 480, 12255, 16088, 454, 3698, 804, 659, 28949, 11133, 2187, 825, 2040, 815, 476, 271, 454, 825, 585, 562, 538, 1003, 912, 1038, 2040, 815, 2040, 1341, 562, 265, 333, 454, 825, 2132, 2040, 454, 2745, 804, 659, 263, 272, 267, 273, 267, 274, 994, 2745, 804, 659, 4590, 333, 4548, 815, 1496, 274, 267, 275, 267, 276, 30092, 2745, 804, 659, 28949, 333, 4548, 2020, 3698, 1268, 28442, 2073, 720, 2073, 2878, 29220, 2187, 825, 1820, 1412, 4067, 281, 22207, 4067, 2073, 262, 720, 281, 22207, 720, 10086, 1278, 281, 22207, 29220, 454, 17367, 3488, 6062, 7773, 3299, 1240, 994, 17367, 3488, 7692, 3299, 476, 3374, 267, 2749, 8782, 6826, 18268, 5073, 29220, 815, 27835, 322, 640, 9166, 1412, 6826, 18268, 3299, 1412, 329, 984, 9166, 1412, 25811, 518, 262, 8679, 17367, 3488, 6062, 7773, 262, 2073, 476, 1240, 2073, 2878, 29220, 2020, 3698, 30775, 5416, 267, 536, 267, 524, 284, 271, 267, 2608, 16911, 267, 2878, 29220, 2187, 825, 1820, 1412, 320, 815, 3299, 513, 267, 1412, 321, 815, 3299, 536, 267, 1412, 322, 815, 3299, 524, 267, 1412, 16911, 815, 3299, 26571, 267, 1412, 29220, 815, 3299, 737, 342, 692, 16911, 815, 630, 274, 267, 275, 267, 276, 267, 277, 267, 279, 994, 29220, 815, 27835, 343, 9166, 3445, 280, 8679, 325, 15635, 28949, 16911, 2073, 2878, 29220, 2020, 3698, 1249, 3799, 2187, 825, 952, 562, 2525, 272, 912, 1038, 2132, 476, 272, 454, 825, 2132, 562, 265, 2399, 3799, 268, 272, 994, 2745, 1249, 263, 274, 2020, 258, 12916, 379, 17958, 20881, 496, 25051, 496, 16583, 30936, 421, 506, 478, 28884, 21796, 357, 418, 482, 493, 421, 502, 366, 27882, 351, 21550, 486, 418, 374, 351, 24731, 12486, 21928, 18777, 350, 28997, 501, 10951, 374, 18809, 8147, 16583, 30936, 420, 364, 481, 17958, 15159, 20881, 504, 13213, 485, 21550, 486, 27818, 23637, 24724, 30244, 26175, 491, 12255, 29004, 362, 14756, 497, 22909, 482, 14395, 508, 27064, 364, 7511, 8147, 30006, 493, 25051, 497, 13213, 505, 24662, 22047, 16583, 30936, 420, 364, 481, 17958, 8147, 21550, 486, 16533, 365, 25263, 504, 20693, 510, 13601, 31271, 480, 21550, 486, 27747, 356, 8147, 30006, 493, 25051, 497, 16583, 30936, 13213, 498, 18713, 508, 8147, 21550, 486, 16533, 365, 25263, 504, 16583, 493, 13601, 31271, 480, 21550, 486, 27747, 356, 12486, 13200, 365, 30678, 21550, 486, 7511, 27962, 16533, 493, 21251, 15159, 20721, 510, 30522, 494, 7511, 8147, 19867, 478, 23284, 8147, 20881, 496, 25051, 496, 420, 364, 481, 17958, 7511, 418, 361, 350, 12255, 13213, 485, 14035, 504, 8147, 25263, 504, 21382, 376, 420, 485, 368, 21550, 486, 418, 374, 351, 24731, 12486, 23746, 23284, 13644, 499, 13644, 499, 2399, 263, 1911, 271, 264, 16088, 454, 258, 16533, 378, 20881, 496, 25051, 496, 16583, 30936, 8147, 21928, 16583, 30936, 13213, 498, 18713, 508, 7511, 28793, 22390, 503, 8147, 420, 364, 481, 17958, 420, 485, 359, 420, 374, 360, 10951, 361, 420, 374, 360, 8147, 23946, 370, 4970, 498, 8147, 8873, 13644, 511, 9463, 354, 21251, 420, 25693, 25060, 483, 12571, 360, 23989, 20001, 378, 19764, 493, 12486, 30244, 21550, 371, 8147, 419, 376, 500, 13644, 495, 417, 503, 357, 16043, 500, 26033, 483, 25335, 352, 19404, 488, 417, 503, 357, 16533, 365, 23746, 23284, 418, 488, 488, 16533, 378, 20881, 496, 25051, 496, 417, 479, 504, 25263, 502, 25060, 500, 8147, 12916, 379, 20881, 496, 25051, 496, 10951, 361, 420, 374, 360, 20721, 510, 18777, 374, 420, 364, 481, 17958, 14035, 504, 16533, 495, 418, 361, 350, 8147, 421, 25693, 9463, 359, 22287, 510, 17958, 22047, 21550, 486, 27747, 356, 8147, 21251, 25263, 504, 24731, 27064, 364, 21550, 486, 418, 374, 351, 24731, 7511, 418, 481, 483, 19540, 369, 12486, 692, 258, 1219, 1007, 318, 2399, 3799, 2187, 258, 672, 2132, 1249, 318, 3438, 3799, 267, 272, 2020, 258, 1219, 1249, 318, 3438, 16325, 2073, 1587, 2187, 258, 672, 952, 1003, 2652, 476, 272, 912, 258, 1363, 2132, 1587, 454, 258, 672, 2132, 1249, 318, 3438, 16325, 268, 272, 2073, 1003, 265, 28237, 2020, 258, 1820, 1007, 318, 2399, 263, 274, 2020, 258, 700, 815, 11713, 258, 562, 815, 476, 272, 454, 258, 1247, 562, 27045, 4200, 912, 258, 672, 700, 6910, 3799, 994, 258, 672, 562, 815, 562, 266, 273, 454, 258, 1820, 700, 692, 258, 7090, 476, 10254, 485, 29830, 485, 418, 497, 491, 30853, 454, 299, 815, 18358, 28061, 3299, 1412, 27880, 3299, 1412, 307, 6483, 3299, 1412, 7692, 3299, 1412, 31568, 262, 6540, 2745, 700, 314, 271, 281, 274, 2639, 2745, 700, 11468, 274, 6540, 298, 815, 2039, 263, 1911, 994, 2745, 918, 15631, 1015, 281, 2639, 2745, 918, 11468, 1015, 281, 273, 2639, 2745, 918, 11468, 281, 1015, 2639, 2745, 918, 11468, 281, 6540, 307, 815, 630, 271, 267, 476, 272, 267, 476, 273, 267, 476, 274, 267, 476, 275, 267, 476, 276, 267, 476, 277, 267, 476, 278, 267, 476, 279, 267, 476, 280, 267, 476, 1015, 267, 476, 1556, 267, 476, 1321, 994, 2745, 570, 11468, 274, 316, 0, 301, 23919, 815, 3403, 2891, 19152, 513, 1804, 2898, 1297, 281, 19515, 6112, 715, 23919, 18994, 323, 13424, 3890, 2525, 16178, 610, 703, 18217, 23919, 264, 283, 272, 912, 825, 1820, 2891, 19152, 1590, 581, 513, 2898, 1297, 269, 8347, 1586, 5602, 825, 715, 23919, 815, 3403, 2891, 19152, 513, 1804, 2898, 1297, 281, 19515, 672, 692, 6112, 6936, 912, 825, 10943, 23919, 284, 6358, 2891, 306, 5902, 281, 19515, 825, 952, 10943, 23919, 18994, 323, 13424, 3890, 2525, 16178, 912, 1038, 1820, 2891, 19152, 1590, 581, 513, 2898, 1297, 269, 8347, 1586, 5602, 825, 8640, 703, 4433, 680, 23919, 264, 27045, 271, 912, 1038, 1820, 2891, 19152, 1590, 581, 513, 2898, 1297, 269, 8347, 1586, 5602, 825, 8640, 630, 842, 12759, 18217, 23919, 4297, 260, 842, 4433, 680, 23919, 264, 11203, 476, 271, 2187, 1038, 1820, 18217, 23919, 267, 834, 18771, 581, 14961, 16883, 676, 14307, 338, 680, 23919, 994, 1038, 1820, 2891, 2521, 1586, 5602, 825, 3116, 912, 1038, 2736, 454, 27030, 12248, 284, 271, 454, 11133, 23919, 284, 5257, 454, 16059, 23919, 284, 5257, 454, 27463, 2084, 815, 6936, 454, 18431, 284, 271, 454, 338, 25507, 4433, 680, 23919, 2020, 333, 337, 14682, 12952, 25507, 12759, 18217, 23919, 8358, 338, 11924, 272, 692, 1721, 1775, 538, 2039, 630, 272, 19885, 337, 14682, 12952, 2187, 825, 1003, 23919, 284, 301, 23919, 314, 12248, 265, 338, 281, 263, 12248, 266, 272, 12684, 338, 2639, 825, 3977, 23919, 23785, 11133, 23919, 454, 825, 952, 1775, 266, 272, 283, 333, 337, 14682, 12952, 912, 1038, 3977, 23919, 23785, 2580, 27029, 825, 952, 703, 16325, 23919, 264, 27045, 18431, 912, 1038, 2810, 815, 8771, 454, 825, 2063, 25507, 16325, 23919, 994, 825, 1293, 23785, 272, 22562, 2745, 263, 16059, 23919, 994, 604, 2810, 2652, 6936, 912, 825, 1820, 2891, 306, 3225, 775, 568, 2810, 5602, 12828, 912, 825, 1820, 2891, 306, 3225, 775, 568, 10691, 23207, 5602, 0, 258, 13892, 284, 6358, 2891, 11767, 6075, 3009, 281, 5602, 6112, 6936, 912, 825, 1820, 2891, 5602, 825, 3009, 284, 6358, 2891, 11767, 6075, 3009, 281, 5602, 825, 3915, 318, 15615, 815, 476, 271, 454, 825, 3915, 815, 10581, 6357, 650, 318, 15615, 994, 825, 952, 3009, 2652, 834, 337, 13426, 1038, 2253, 318, 842, 284, 6358, 2891, 11767, 4098, 11281, 2542, 281, 5602, 1038, 2253, 815, 10581, 6357, 5476, 318, 842, 994, 1038, 1439, 318, 842, 284, 6358, 2891 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 606, 703, 540, 2866, 1239, 609, 12805, 10297, 1477, 1038, 4255, 30648, 318, 2102, 281, 519, 2179, 540, 2866, 2592, 547, 1397, 519, 3060, 1142, 5108, 1477, 1038, 568, 7272, 1861, 281, 2436, 610, 711, 547, 946, 1582, 607, 513, 2385, 547, 519, 3355, 2551, 1477, 1038, 4452, 5332, 1115, 281, 2436, 610, 711, 547, 4452, 519, 3355, 2551, 689, 10710, 5121, 18851, 1477, 1038, 24437, 815, 1496, 15947, 1038, 585, 1775, 538, 2039, 9638, 641, 1637, 2567, 476, 1948, 6445, 519, 2551, 1477, 2018, 952, 568, 7272, 1861, 281, 476, 1948, 609, 1453, 540, 519, 1699, 3060, 1477, 3546, 24437, 6910, 4311, 269, 10517, 28558, 9852, 583, 1464, 17903, 2018, 8640, 4452, 5332, 1115, 281, 476, 1948, 5121, 16041, 689, 519, 6119, 1477, 3546, 5299, 815, 1582, 6983, 4878, 14052, 3546, 5299, 269, 2903, 318, 5228, 18316, 2891, 26506, 11138, 6339, 260, 323, 17902, 257, 4939, 328, 3418, 3546, 24437, 6910, 6262, 4878, 3418, 2018, 3116, 281, 476, 1948, 610, 14477, 6383, 5121, 1477, 3546, 24437, 6910, 4311, 6983, 4878, 3890, 3418, 1038, 585, 1775, 538, 2039, 263, 3438, 725, 2567, 476, 1948, 10956, 585, 519, 9138, 1297, 540, 5481, 1477, 2018, 1820, 2891, 7049, 3130, 4939, 323, 257, 4939, 1775, 264, 476, 1948, 1820, 519, 5108, 1297, 1477, 2018, 9271, 815, 1496, 271, 316, 2608, 2551, 476, 1948, 3355, 1125, 606, 8900, 5044, 540, 9271, 1477, 2018, 585, 795, 538, 2039, 6025, 3949, 30648, 318, 14749, 2567, 476, 1948, 585, 519, 5697, 2179, 540, 2866, 2592, 1477, 3546, 1820, 19629, 339, 32086, 12005, 4939, 323, 257, 4939, 795, 264, 476, 1948, 1820, 1018, 1297, 3239, 649, 616, 593, 1477, 3546, 1449, 815, 4351, 26716, 4069, 16597, 264, 476, 1948, 3442, 513, 4351, 3239, 1477, 3546, 585, 737, 538, 2039, 9638, 641, 1637, 2567, 476, 1948, 1449, 1169, 3060, 538, 519, 2551, 1477, 7386, 3210, 815, 24437, 25208, 4940, 24834, 10663, 6025, 652, 314, 271, 8079, 476, 1948, 5352, 741, 3210, 1477, 7386, 1948, 5352, 519, 4397, 3210, 1477, 7386, 4397, 815, 1496, 271, 316, 2608, 476, 1015, 1477, 7386, 4397, 314, 11687, 314, 272, 14963, 815, 476, 272, 1477, 7386, 1948, 5173, 519, 2530, 1477, 7386, 2530, 815, 476, 271, 1477, 7386, 585, 561, 538, 2039, 12759, 263, 24978, 264, 8029, 13376, 2530, 6834, 630, 24978, 314, 331, 316, 910, 4397, 314, 331, 8079, 2878, 476, 273, 1477, 7386, 9271, 25208, 316, 6834, 2530, 476, 1948, 9337, 519, 2040, 540, 9271, 1477, 2018, 1948, 5173, 3328, 9271, 1477, 2018, 585, 795, 538, 2039, 9638, 641, 1637, 8029, 3546, 9271, 14728, 316, 1315, 284, 7003, 16597, 3418, 2018, 1582, 269, 928, 584, 976, 815, 24437, 314, 29754, 525, 28827, 263, 2381, 10857, 1601, 525, 4297, 4940, 928, 584, 976, 6983, 4878, 3890, 476, 1948, 1491, 593, 519, 3060, 540, 519, 1655, 1477, 2018, 585, 795, 538, 2039, 17301, 9230, 272, 910, 2824, 2032, 264, 2608, 2551, 264, 2567, 476, 1948, 6146, 519, 5697, 2179, 540, 519, 2551, 609, 519, 5207, 2530, 1477, 3546, 4994, 815, 9271, 28827, 32384, 10857, 1601, 525, 17903, 3546, 24437, 21014, 263, 8161, 3418, 3546, 9271, 21014, 263, 8161, 3418, 2018, 1948, 723, 519, 15000, 16196, 1477, 2018, 1453, 815, 1496, 15947, 2018, 585, 795, 538, 2039, 12759, 3799, 1115, 264, 8029, 3546, 585, 737, 538, 2039, 17301, 263, 272, 1315, 2824, 2032, 910, 476, 272, 264, 8029, 7386, 1453, 6910, 3799, 1115, 14728, 4940, 10517, 28558, 9852, 583, 1464, 17903, 2018, 24437, 6834, 1453, 1477, 1038, 585, 795, 538, 2039, 9638, 641, 1637, 2567, 476, 1948, 4688, 519, 7960, 2551, 547, 6119, 1477, 2018, 24437, 14728, 4940, 338, 1511, 15461, 18316, 2891, 26506, 11138, 6339, 260, 323, 17902, 257, 4939, 795, 10142, 825, 1219, 1451, 4311, 267, 23200, 267, 16801, 15481, 8029, 1038, 5727, 307, 7495, 302, 281, 5084, 291, 19845, 27073, 5058, 2475, 5058, 645, 19272, 11550, 5183, 294, 9569, 18851, 1477, 1038, 1780, 5897, 825, 1219, 4688, 15461, 18316, 4311, 267, 32197, 8029, 1038, 5727, 10468, 1116, 15187, 1740, 4732, 1511, 15461, 18316, 19304, 32197, 264, 9847, 7183, 1477, 1038, 16440, 519, 1699, 8849, 3060, 547, 513, 3758, 3957, 32197, 18851, 1477, 1038, 3758, 815, 1930, 6600, 32327, 267, 834, 342, 8442, 476, 1948, 1930, 519, 3758, 547, 4688, 547, 1477, 1038, 1948, 6445, 519, 1257, 3758, 609, 519, 1699, 12035, 267, 1142, 2597, 9674, 676, 862, 553, 267, 1142, 22813, 9674, 676, 1007, 6050, 267, 1142, 4494, 694, 704, 730, 676, 1007, 1079, 1007, 3515, 1477, 1038, 1257, 815, 834, 29177, 1038, 585, 4494, 538, 1582, 269, 928, 584, 976, 6769, 2018, 5037, 815, 834, 29177, 2018, 585, 22813, 538, 4494, 6769, 3546, 1899, 815, 834, 29177, 3546, 585, 2597, 538, 22813, 10947, 318, 30135, 28399, 7386, 1899, 6834, 1193, 263, 7076, 264, 1341, 834, 2437, 1477, 3546, 5037, 6834, 1899, 25331, 29328, 263, 2580, 834, 264, 1341, 27719, 333, 29177, 2018, 1257, 6834, 5037, 1341, 27719, 333, 29177, 1038, 1257, 815, 1257, 25331, 29328, 19629, 333, 14826, 14744, 1038, 3758, 22182, 29495, 3418, 1038, 3758, 25379, 3890, 476, 1948, 2673, 519, 3758, 5897, 825, 1219, 4452, 318, 5228, 18316, 4311, 267, 32197, 8029, 1038, 5727, 10468, 1116, 15187, 1740, 269, 2903, 318, 5228, 18316, 19304, 32197, 264, 9847, 7183, 1477, 1038, 20509, 10710, 12035, 883, 519, 1699, 3060, 689, 513, 3758, 1572, 32197, 18851, 1477, 1038, 3758, 815, 1930, 6600, 32327, 267, 834, 337, 8442, 476, 1948, 1930, 519, 3758, 547, 1224, 689, 1477, 1038, 1948, 8237, 519, 3758, 883, 606, 5044, 540, 14249, 540, 14249, 540, 6083, 1846, 1477, 1038, 1257, 815, 3758, 18667, 14052, 1038, 9433, 815, 1257, 21858, 19629, 333, 14826, 14744, 1038, 3515, 815, 1496, 1706, 4588, 21858, 19629, 333, 8442, 585, 5037, 538, 9433, 15947, 1038, 12035, 815, 20886, 1467, 21858, 2891, 2437, 264, 585, 1899, 538, 5037, 316, 585, 5037, 538, 3515, 15947, 1038, 1948, 1305, 1142, 2597, 538, 519, 3060, 547, 519, 1482, 4994, 538, 519, 6383, 5044, 1477, 1038, 585, 1775, 538, 2039, 12759, 263, 30135, 264, 8029, 2018, 585, 795, 538, 2039, 12759, 263, 30135, 5157, 8079, 8029, 3546, 585, 737, 538, 2039, 12759, 263, 30135, 5157, 6012, 329, 8079, 8029, 7386, 1582, 269, 928, 584, 976, 5157, 6012, 329, 4940, 3553, 318, 7076, 17347, 267, 10581, 263, 30135, 5157, 6012, 329, 6012, 330, 8079, 3418, 1038, 3758, 25379, 3890, 476, 1948, 2673, 519, 3758, 24653, 3698, 1900, 3287, 8029, 825, 5727, 21163, 263, 15615, 1535, 264, 9847, 703, 1477, 825, 589, 2241, 8849, 3060, 11852, 1599, 1477, 825, 16849, 476, 272, 952, 1535, 3436, 476, 271, 267, 7024, 476, 271, 6382, 18851, 1477, 825, 952, 1535, 3436, 476, 271, 6769, 1038, 2132, 476, 272, 1477, 825, 3116, 6769, 1038, 2132, 476, 271, 24653, 3698, 521, 31451, 3287, 8029, 825, 5727, 338, 31451, 263, 15615, 1535, 264, 9847, 10581, 1477, 825, 589, 1455, 8849, 3060, 11852, 1599, 1477, 825, 13242, 547, 1118, 782, 22813, 1437, 725, 1063, 476, 271, 543, 476, 272, 1477, 825, 4347, 1441, 607, 476, 272, 14370, 272, 1341, 552, 317, 8987, 343, 4297, 18851, 1477, 825, 2132, 476, 272, 1315, 630, 272, 1341, 2979, 269, 10339, 8987, 343, 17903, 5897, 25699, 815, 22532, 15187, 1740, 263, 275, 267, 1496, 4281, 275, 267, 476, 1220, 267, 476, 2004, 267, 476, 1015, 3910, 521, 31451, 264, 476, 1948, 1711, 513, 1007, 8849, 3060, 609, 476, 4281, 275, 630, 2764, 1535, 476, 2764, 264, 9136, 538, 519, 3403, 4494, 267, 476, 273, 6456, 6106, 267, 543, 476, 1015, 9136, 538, 519, 3977, 4494, 1477, 25699, 4318, 341, 9876, 263, 271, 269, 272, 267, 476, 2004, 267, 476, 1911, 267, 476, 271, 269, 276, 267, 2866, 267, 476, 1911, 264, 476, 1948, 11457, 519, 3060, 609, 513, 4719, 5690, 1477, 1721, 524, 538, 2039, 263, 2004, 2567, 476, 1948, 2119, 856, 476, 2004, 1449, 2665, 593, 519, 1655, 3060, 1477, 825, 1820, 2891, 14818, 8865, 4939, 323, 257, 4939, 524, 3418, 825, 1948, 3442, 513, 4351, 1449, 2013, 1477, 825, 4994, 815, 4351, 20120, 9792, 263, 1911, 876, 3418, 825, 2013, 815, 4152, 27709, 15947, 825, 1948, 2322, 519, 11378, 998, 519, 3060, 1477, 825, 856, 815, 562, 333, 4318, 1998, 10663, 6262, 848, 314, 271, 29573, 825, 1948, 1711, 513, 536, 5404, 540, 1018, 519, 3403, 5654, 899, 1477, 825, 3239, 815, 3787, 14090, 11065, 527, 14090, 263, 2764, 267, 476, 2764, 3418, 825, 585, 513, 538, 2039, 263, 2764, 8029, 1038, 585, 536, 538, 2039, 263, 2764, 8029, 2018, 3239, 15630, 303, 31242, 6357, 267, 476, 2767, 910, 513, 267, 24042, 8443, 842, 6262, 848, 314, 271, 6012, 320, 2608, 476, 2764, 1341, 536, 316, 2608, 476, 14838, 13580, 2608, 476, 274, 17903, 825, 3239, 22182, 2891, 6358, 338, 11138, 6358, 260, 323, 12500, 5404, 257, 4939, 524, 264, 476, 1948, 4688, 602, 536, 5404, 1477, 825, 1820, 19629, 339, 19152, 12005, 281, 11378, 11138, 6358, 260, 323, 12500, 5404, 257, 4939, 524, 3418, 825, 1820, 2891, 2750, 4624, 19243, 281, 4939, 323, 257, 4939, 2013, 314, 272, 8079, 476, 1948, 1820, 1018, 519, 3060, 1058, 3977, 1477, 825, 1820, 2891, 20663, 19243, 281, 4939, 323, 257, 4939, 856, 28827, 32384, 263, 719, 30727, 476, 1948, 1820, 519, 7857, 519, 8849, 3060, 4956, 1477, 0, 26611, 23591, 24800, 270, 7090, 692, 5814, 3113, 341, 714, 607, 575, 341, 454, 5814, 21855, 454, 5814, 533, 2745, 454, 5814, 621, 1068, 8962, 692, 3698, 1265, 318, 718, 7272, 23411, 14116, 1429, 267, 1376, 267, 1439, 267, 2619, 17342, 316, 2187, 453, 18257, 8340, 338, 782, 2009, 10092, 538, 3113, 1063, 1376, 543, 1439, 676, 7598, 3097, 453, 320, 4560, 23867, 3406, 269, 8641, 1058, 581, 5293, 607, 606, 7755, 659, 1890, 8675, 563, 453, 14303, 5281, 513, 1592, 540, 8913, 1255, 8204, 782, 10092, 1063, 1412, 11034, 262, 543, 1412, 754, 262, 14584, 525, 269, 18257, 692, 453, 12949, 815, 2619, 1341, 1496, 11034, 2639, 14851, 1376, 2652, 1439, 912, 453, 16596, 1496, 12949, 2639, 14851, 711, 3113, 269, 13757, 318, 4486, 263, 11034, 2187, 453, 16596, 11713, 453, 12949, 338, 815, 11713, 22610, 6843, 538, 3113, 314, 11034, 14158, 453, 14851, 6843, 711, 538, 2619, 912, 4848, 453, 2908, 12949, 338, 815, 1265, 318, 718, 7272, 23411, 14116, 1429, 267, 6843, 267, 1439, 267, 2619, 994, 4848, 22610, 1007, 12949, 538, 1007, 12949, 338, 912, 15235, 453, 12949, 338, 6910, 28956, 12949, 994, 16596, 10092, 692, 3698, 535, 788, 9638, 23411, 2187, 453, 18257, 8340, 782, 519, 8728, 538, 513, 2619, 1592, 269, 9717, 513, 1592, 540, 10092, 267, 7024, 513, 6366, 1592, 3097, 453, 1993, 10092, 607, 8728, 538, 24042, 3898, 269, 1280, 608, 269, 1496, 9131, 320, 12887, 321, 12887, 322, 28710, 18358, 324, 12887, 330, 12887, 331, 11172, 2639, 453, 4958, 5281, 1496, 3488, 320, 12887, 321, 30670, 18011, 321, 12887, 322, 30670, 18011, 324, 12887, 330, 30670, 18011, 330, 12887, 331, 10807, 4940, 15981, 692, 453, 12949, 318, 539, 2471, 815, 11713, 22610, 2619, 538, 10092, 912, 453, 14851, 7003, 9638, 987, 264, 2652, 476, 272, 281, 1948, 12949, 5161, 540, 835, 2582, 14584, 513, 6390, 3884, 1405, 2965, 2619, 2676, 4848, 453, 10139, 1948, 21671, 1259, 713, 1058, 4755, 568, 950, 2759, 1063, 14584, 543, 16173, 454, 453, 28432, 912, 4848, 453, 258, 17647, 1945, 899, 713, 281, 1496, 272, 267, 276, 267, 277, 267, 279, 28011, 316, 25341, 1496, 272, 267, 276, 25662, 276, 267, 277, 25662, 277, 267, 279, 3910, 2483, 4848, 22610, 1775, 538, 2039, 263, 271, 267, 6352, 9638, 987, 9984, 272, 2187, 15235, 453, 12949, 318, 539, 2471, 6910, 9230, 12949, 5157, 3910, 12949, 5157, 266, 272, 28413, 453, 28744, 630, 12949, 318, 539, 2471, 994, 16596, 1592, 263, 3553, 9638, 987, 318, 539, 2471, 11723, 3698, 1205, 318, 8354, 8217, 14116, 1429, 2187, 453, 18257, 307, 1389, 513, 3113, 538, 606, 7755, 659, 1890, 8675, 543, 17838, 538, 883, 606, 6316, 1592, 18411, 453, 8354, 8217, 815, 11713, 22610, 737, 538, 3113, 912, 453, 22610, 6316, 538, 3113, 25208, 14158, 4848, 453, 8354, 8217, 6910, 8443, 330, 267, 8354, 7481, 16596, 6316, 8217, 692, 3698, 6316, 8217, 15461, 318, 29951, 659, 1890, 18380, 263, 8354, 8217, 2187, 453, 18257, 307, 1389, 513, 3113, 607, 606, 6316, 1592, 543, 7024, 621, 607, 606, 7755, 659, 1890, 9598, 269, 18411, 453, 29951, 18380, 815, 2715, 324, 314, 271, 13912, 26514, 585, 552, 538, 6316, 8217, 8679, 22610, 6316, 538, 6316, 8217, 912, 453, 453, 330, 815, 6316, 314 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3883, 18838, 1635, 2677, 664, 681, 636, 1695, 13723, 267, 715, 913, 332, 5410, 19410, 22478, 269, 589, 8836, 3778, 2986, 2098, 19660, 770, 6929, 1143, 24157, 1748, 807, 9459, 3821, 563, 2304, 4985, 1677, 2098, 19660, 770, 6929, 1143, 634, 3703, 7732, 269, 589, 3778, 2986, 2098, 19660, 770, 6929, 1143, 11730, 2290, 634, 7216, 11270, 563, 289, 1195, 576, 781, 1433, 5956, 609, 840, 3620, 626, 800, 543, 4978, 267, 1287, 519, 5354, 540, 519, 1433, 568, 2098, 19660, 770, 6929, 1143, 998, 942, 269, 2701, 6811, 1454, 585, 519, 5132, 781, 3310, 630, 18034, 593, 519, 1395, 6139, 2065, 5132, 338, 264, 543, 1454, 540, 621, 5526, 10257, 267, 855, 1352, 3622, 14753, 1932, 18390, 689, 519, 2470, 540, 519, 2959, 2139, 269, 275, 270, 276, 563, 14549, 1686, 267, 2687, 547, 2098, 19660, 770, 6929, 3661, 267, 9356, 519, 6560, 1063, 891, 18163, 1727, 657, 2572, 267, 13259, 3120, 631, 1794, 6767, 543, 4911, 571, 6301, 344, 340, 267, 1434, 543, 9409, 267, 1769, 543, 14334, 267, 5168, 543, 13587, 527, 563, 313, 19660, 2120, 7947, 338, 782, 855, 835, 540, 519, 3029, 540, 15093, 1316, 2213, 676, 519, 21475, 16927, 3757, 2103, 267, 543, 8952, 1152, 15093, 676, 3595, 269, 2098, 19660, 770, 6929, 1143, 281, 3245, 4165, 18709, 547, 519, 7073, 11270, 630, 14532, 540, 3163, 267, 13898, 543, 9177, 538, 4095, 31511, 267, 11730, 23446, 267, 3487, 476, 279, 264, 676, 12653, 345, 3316, 808, 531, 630, 539, 4700, 1299, 667, 10422, 269, 932, 3430, 641, 611, 1506, 11535, 630, 7049, 563, 539, 4700, 543, 513, 1390, 5542, 540, 1644, 2835, 267, 1148, 543, 2445, 17156, 2139, 1631, 693, 8745, 543, 29721, 269, 2098, 19660, 2120, 781, 2012, 538, 1010, 5065, 1893, 267, 2997, 652, 534, 267, 729, 4440, 2296, 2012, 267, 834, 313, 19660, 2120, 2580, 24283, 689, 513, 2663, 630, 276, 628, 2540, 7460, 264, 5259, 16606, 267, 2098, 16230, 549, 770, 337, 25207, 338, 630, 394, 500, 22886, 16708, 14267, 31149, 17385, 16483, 16708, 24341, 19084, 1070, 607, 1031, 538, 2473, 13183, 639, 781, 10370, 10972, 20403, 630, 293, 4048, 618, 476, 3953, 264, 543, 538, 18573, 781, 3689, 1325, 322, 756, 328, 3547, 630, 320, 272, 1916, 1607, 1106, 5526, 13604, 538, 519, 5824, 2098, 16230, 549, 770, 337, 25207, 338, 543, 267, 538, 2663, 5259, 18004, 281, 524, 269, 7460, 1107, 7460, 267, 5794, 12505, 655, 966, 2801, 26400, 269, 9147, 3778, 15610, 11392, 513, 1507, 10243, 585, 1142, 1433, 4421, 998, 938, 24988, 4891, 269, 30318, 1635, 26597, 3872, 5238, 4363, 721, 267, 1519, 10228, 2160, 267, 12309, 3557, 2160, 267, 543, 2160, 540, 16506, 563, 13263, 5990, 11682, 6579, 5308, 8008, 14176, 5508, 5990, 24315, 10485, 23781, 24702, 15760, 590, 6993, 269, 29518, 611, 807, 269, 834, 763, 3141, 267, 519, 7599, 267, 519, 6801, 267, 519, 15798, 267, 519, 15113, 543, 519, 23617, 1765, 3657, 711, 891, 267, 744, 9997, 267, 519, 5075, 540, 13924, 945, 12081, 338, 8119, 570, 3317, 903, 517, 654, 3041, 291, 6865, 563, 257, 313, 19660, 770, 6929, 1143, 267, 12059, 9990, 257, 15244, 519, 1686, 543, 4978, 540, 2098, 19660, 770, 6929, 1143, 543, 922, 13794, 8990, 998, 5553, 540, 20655, 543, 27465, 883, 519, 1459, 1554, 269, 634, 22504, 543, 4095, 2098, 19660, 770, 6929, 2950, 538, 799, 519, 4984, 814, 4278, 1882, 1510, 29966, 3646, 610, 5318, 2338, 540, 21071, 568, 849, 8268, 563, 14532, 540, 2098, 19660, 770, 6929, 1143, 630, 9349, 264, 3883, 19672, 269, 7170, 269, 3778, 540, 2098, 19660, 770, 6929, 1143, 269, 8191, 269, 20144, 718, 320, 267, 631, 2033, 1188, 10202, 715, 1380, 969, 534, 10202, 269, 21629, 269, 918, 10611, 269, 595, 4821, 31970, 4659, 269, 22910, 11261, 269, 16179, 901, 3883, 269, 1635, 11449, 2835, 998, 713, 3896, 267, 596, 1489, 938, 1875, 17416, 3919, 563, 26123, 3778, 15610, 11392, 513, 1507, 10243, 585, 269, 2997, 652, 320, 267, 849, 1572, 2098, 754, 268, 822, 652, 320, 267, 10723, 1433, 540, 2098, 19660, 770, 6929, 1143, 5627, 922, 14421, 690, 3415, 267, 1876, 267, 543, 1396, 21395, 267, 519, 10752, 540, 519, 22445, 2098, 19660, 2120, 630, 313, 541, 987, 2313, 10177, 1916, 763, 31607, 2997, 652, 320, 568, 782, 602, 3788, 540, 513, 1454, 3677, 1560, 540, 27403, 267, 15151, 2098, 19660, 2120, 779, 7004, 540, 513, 1360, 3504, 2245, 269, 634, 2019, 6058, 748, 22251, 540, 519, 269, 2098, 19660, 770, 6929, 1143, 630, 345, 20110, 21485, 337, 16230, 26324, 338, 21485, 13700, 25207, 16745, 333, 384, 361, 345, 16745, 332, 1070, 4984, 8547, 676, 2098, 19660, 2120, 267, 855, 609, 1082, 2663, 934, 4958, 687, 563, 29441, 999, 2098, 19660, 770, 6929, 1143, 781, 30920, 616, 519, 2997, 652, 320, 610, 519, 2098, 754, 2997, 652, 320, 1496, 303, 1695, 15442, 328, 1285, 652, 320, 284, 18721, 267, 1990, 754, 284, 1260, 29232, 4940, 763, 2997, 652, 320, 5161, 540, 23650, 776, 543, 1454, 2275, 528, 32152, 5931, 282, 621, 568, 2854, 538, 2025, 22504, 267, 513, 1893, 2147, 547, 966, 14037, 16130, 269, 634, 2101, 6810, 540, 519, 2997, 652, 320, 616, 2185, 9789, 563, 763, 12942, 281, 589, 14655, 26499, 540, 519, 7395, 328, 568, 513, 1390, 1433, 547, 4001, 1453, 827, 519, 4296, 1063, 10764, 267, 538, 713, 2013, 2098, 19660, 770, 6929, 1143, 543, 8567, 563, 763, 12942, 568, 519, 14655, 10828, 1107, 607, 5143, 547, 3057, 1723, 2717, 334, 1107, 540, 519, 1614, 7395, 328, 945, 4547, 13344, 547, 4906, 543, 519, 12357, 10516, 789, 4607, 538, 2132, 8160, 12991, 563, 291, 327, 718, 320, 281, 3778, 540, 2098, 19660, 770, 6929, 1143, 20465, 10691, 292, 281, 901, 1257, 568, 849, 2139, 607, 3134, 889, 543, 7824, 6054, 269, 667, 770, 584, 20144, 718, 320, 729, 1164, 17308, 540, 519, 29807, 529, 607, 1134, 607, 513, 8036, 16159, 269, 769, 713, 2442, 1433, 646, 7011, 956, 24185, 1336, 2429, 2098, 19660, 770, 6929, 3332, 269, 3465, 5034, 12225, 10999, 2687, 547, 519, 2707, 3332, 267, 789, 1459, 519, 1650, 540, 513, 4984, 538, 4720, 269, 0, 7197, 540, 7009, 534, 6013, 5045, 540, 519, 14117, 5211, 267, 519, 2034, 13074, 5757, 538, 3624, 269, 7009, 534, 12777, 1797, 834, 338, 1926, 540, 519, 5757, 257, 538, 4457, 563, 25857, 534, 568, 9833, 607, 519, 524, 2784, 548, 540, 4457, 10340, 543, 922, 3854, 2749, 568, 2098, 26907, 345, 17924, 269, 5565, 824, 4872, 267, 13198, 1195, 836, 543, 18087, 604, 1263, 267, 1142, 6039, 607, 3504, 4457, 3854, 4872, 1282, 513, 1279, 1592, 540, 30552, 770, 625, 563, 25857, 534, 1631, 814, 5176, 835, 4627, 2929, 1004, 267, 519, 1034, 29245, 538, 3624, 269, 898, 781, 849, 3624, 781, 7887, 6694, 11662, 563, 30356, 1646, 814, 2799, 676, 606, 3328, 540, 1472, 4557, 2600, 1142, 1032, 538, 519, 2250, 8938, 1032, 269, 769, 476, 1220, 279, 267, 7009, 534, 781, 12654, 6603, 476, 272, 269, 10019, 18265, 586, 10224, 267, 610, 476, 25228, 5479, 2475, 9489, 267, 909, 476, 1321, 2600, 593, 476, 1220, 278, 543, 1818, 621, 519, 11359, 5207, 538, 519, 2197, 563, 25857, 534, 814, 1454, 585, 14666, 547, 1294, 269, 898, 781, 1753, 547, 519, 7043, 5443, 23108, 1777, 657, 267, 513, 3247, 593, 519, 3504, 28010, 10003, 267, 607, 1134, 607, 519, 32599, 22223, 13527, 543, 922, 26112, 12021, 585, 8026, 32599, 22223, 19831, 6575, 563, 18154, 6311, 309, 5181, 476, 1626, 267, 476, 1220, 280, 264, 0, 763, 7439, 12712, 532, 6390, 5244, 454, 763, 7439, 12712, 532, 6390, 5244, 610, 1412, 297, 1168, 8215, 12567, 262, 568, 4092, 538, 519, 7262, 1016, 31755, 540, 700, 13757, 320, 267, 729, 3710, 538, 519, 1647, 540, 519, 476, 1240, 628, 2540, 1282, 519, 12081, 540, 519, 476, 278, 628, 18243, 2967, 700, 4821, 543, 6039, 607, 519, 14400, 20066, 540, 18243, 2967, 19681, 553, 1141, 789, 6023, 2797, 12602, 267, 13736, 3909, 2238, 543, 6170, 14812, 269, 27603, 519, 18243, 2967, 19681, 553, 1131, 4734, 519, 623, 4973, 320, 20066, 1169, 5614, 543, 6108, 519, 4832, 538, 7439, 12712, 532, 6390, 269, 700, 532, 6390, 538, 25307, 1797, 513, 4190, 1747, 609, 4054, 543, 1876, 985, 267, 543, 7439, 25975, 1797, 14951, 269, 769, 1840, 547, 922, 4190, 1604, 267, 7439, 12712, 532, 6390, 19646, 1082, 5493, 2167, 267, 533, 822, 559, 687, 267, 1585, 5686, 540, 5810, 607, 1134, 607, 513, 10720, 543, 513, 23291, 269, 769, 519, 2250, 267, 7439, 12712, 532, 6390, 729, 8185, 9856, 539, 267, 609, 1569, 4847, 1152, 547, 513, 1906, 609, 2027, 10479, 269, 3767, 621, 568, 1930, 547, 519, 1857, 269, 4438, 519, 1744, 582, 684, 16635, 799, 6238, 593, 5147, 476, 272, 540, 519, 25307, 11706, 267, 519, 6288, 568, 22125, 609, 1004, 945, 2097, 547, 2206, 267, 7544, 543, 17552, 5371, 585, 519, 11812, 269, 5272, 1032, 267, 621, 24643, 3875, 8436, 269, 634, 1655, 942, 585, 9683, 700, 13757, 320, 568, 689, 4873, 547, 5181, 267, 950, 621, 814, 519, 1655, 2916, 267, 519, 5207, 5135, 5834, 543, 519, 1034, 4190, 2067, 29278, 269, 0, 26872, 2843, 509, 16417, 4344, 17153, 19757, 20265, 396, 507, 3522, 13150, 3522, 8563, 4138, 19314, 15578, 645, 4353, 5495, 3722, 5508, 5990, 16692, 4696, 11607, 15578, 7495, 16800, 744, 262, 295, 2752, 288, 269, 634, 22694, 1155, 540, 17996, 3361, 519, 4666, 540, 602, 3557, 945, 8593, 693, 11370, 6511, 966, 16695, 547, 581, 4547, 1753, 543, 954, 1042, 693, 7671, 3228, 267, 896, 513, 26672, 573, 15224, 269, 31187, 744, 262, 295, 4673, 267, 513, 22064, 9721, 11860, 550, 3089, 1014, 17199, 543, 16159, 267, 729, 5697, 519, 610, 1807, 543, 10564, 540, 519, 8317, 267, 950, 576, 713, 4190, 552, 592, 9609, 799, 814, 519, 1482, 3498, 547, 6377, 563, 763, 544, 4428, 1194, 14941, 781, 8909, 5066, 814, 10726, 454, 763, 17199, 781, 2063, 31024, 3248, 6546, 12703, 543, 15468, 1906, 563, 19853, 14980, 512, 757, 616, 3262, 2676, 763, 536, 643, 537, 659, 540, 519, 4666, 563, 3086, 2220, 20635, 2390, 519, 2842, 3248, 8170, 6068, 3283, 2451, 3297, 476, 3248, 763, 24116, 781, 5326, 32302, 3248, 4263, 21554, 4927, 1289, 547, 7916, 563, 19853, 20034, 2946, 323, 9843, 616, 6367, 539, 3248, 3674, 1631, 741, 19831, 695, 9613, 563, 763, 2699, 25859, 689, 1142, 536, 992, 2676, 6701, 1863, 689, 2587, 340, 880, 1631, 563, 763, 17079, 548, 781, 28817, 19046, 2676, 763, 7188, 543, 22551, 616, 2250, 3248, 4537, 718, 26497, 609, 18979, 10508, 454, 763, 986, 20567, 540, 519, 4339, 563, 6546, 4418, 10134, 1010, 1390, 29415, 2676, 290, 877, 1524, 519, 1583, 3072, 535, 4141, 563, 17954, 752, 522, 262, 518, 519, 2361, 9944, 2676, 24078, 2108, 7861, 800, 610, 2669, 4799, 16524, 1185, 519, 8969, 995, 4655, 986, 3022, 454, 302, 262, 518, 782, 602, 588, 4459, 523, 10750, 8894, 763, 642, 3188, 995, 1973, 540, 8050, 8894, 26170, 2220, 8215, 519, 575, 800, 20352, 282, 3502, 1279, 267, 938, 588, 719, 2025, 669, 773, 1111, 664, 265, 6785, 2676, 22746, 12918, 1010, 4222, 1223, 536, 728, 563, 290, 6817, 547, 513, 12004, 10455, 781, 18205, 454, 763, 4182, 781, 9206, 547, 4688, 563, 14367, 1101, 23899, 31444, 3149, 8057, 2676, 19853, 2729, 585, 18710, 267, 1932, 563, 302, 262, 518, 4911, 739, 3120, 781, 339, 10750, 8894, 6781, 913, 519, 9044, 1359, 1793, 664, 563, 7775, 1352, 23311, 781, 533, 2400, 2482, 2676, 6546, 535, 27547, 522, 262, 518, 602, 23487, 535, 2001, 269, 25860, 540, 519, 14730, 543, 10552, 344, 16140, 2676, 31800, 1590, 711, 1793, 3784, 972, 2676, 26589, 519, 646, 539, 1652, 2011, 3248, 4537, 718, 581, 707, 3514, 614, 18205, 8894, 763, 607, 1127, 540, 1200, 12703, 563, 293, 541, 689, 519, 575, 800, 2361, 2676, 4002, 1082, 513, 26481, 13104, 3248, 10712, 3796, 8909, 569, 593, 873, 1934, 2676, 763, 12325, 262, 694, 335, 592, 577, 516, 563, 32091, 607, 519, 1973, 9493, 5795, 3248, 265, 2098, 778, 776, 13177, 269, 1341, 7049, 269, 13177, 729, 513, 5065, 540, 17996, 267, 543, 519, 17996, 10136, 616, 1934, 782, 24231, 547, 563, 300, 1410, 15092, 6785, 519, 6370, 540, 11370, 6511, 966, 16695, 676, 519, 2012, 540, 4911, 739, 3120, 30147, 1797, 834, 301, 5535, 10426, 4799, 763, 4095, 2012, 585, 17996, 563, 5591, 791, 1190, 3723, 21163, 1934, 4927, 25500, 454, 763, 10786, 720, 540, 707, 18205, 3248, 4407, 21239, 1200, 2594 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 20663, 11380, 339, 3591, 4196, 607, 3308, 3593, 17103, 602, 2285, 1569, 547, 8800, 3252, 269, 12232, 2066, 5867, 1519, 5985, 11436, 267, 16389, 543, 18376, 5904, 267, 11380, 339, 3591, 1683, 3755, 609, 606, 4674, 1652, 1797, 540, 7900, 4948, 4247, 563, 17359, 13355, 11380, 339, 3591, 3335, 2874, 540, 513, 2780, 2013, 267, 6895, 267, 13691, 543, 10856, 11231, 14384, 538, 13486, 1106, 3815, 543, 666, 581, 18175, 24612, 607, 2877, 563, 12507, 6002, 616, 5907, 3457, 799, 4159, 1344, 1373, 9268, 676, 513, 2780, 779, 3844, 4393, 1770, 630, 9573, 308, 1070, 849, 5219, 547, 607, 966, 291, 308, 610, 10439, 18224, 5149, 563, 29612, 10525, 8532, 3648, 1447, 1379, 543, 12520, 2484, 1447, 5982, 267, 3246, 513, 6366, 5496, 3070, 609, 10896, 4159, 2029, 563, 19152, 26125, 4016, 547, 519, 942, 621, 3217, 513, 6895, 547, 4159, 606, 3239, 1310, 8391, 513, 5365, 282, 6027, 538, 1984, 1047, 6948, 269, 898, 1058, 581, 5402, 2808, 950, 11449, 513, 1007, 6895, 563, 763, 17765, 630, 23338, 14409, 5149, 264, 540, 1022, 2780, 5713, 607, 922, 2634, 267, 21264, 532, 543, 22589, 3301, 12981, 269, 5015, 267, 922, 3432, 4249, 606, 7533, 851, 538, 875, 3533, 7193, 338, 1599, 563, 24137, 21932, 609, 2789, 23780, 616, 4998, 585, 11080, 543, 3381, 11049, 267, 2705, 621, 779, 1898, 547, 2149, 873, 609, 6325, 3354, 3301, 543, 4894, 1022, 840, 13318, 6817, 3292, 799, 1522, 8963, 2200, 689, 741, 17765, 563, 9573, 5825, 616, 1034, 4749, 1336, 538, 5904, 267, 855, 666, 849, 581, 1336, 538, 2413, 14233, 899, 5100, 14023, 2209, 543, 6366, 1606, 10547, 751, 4582, 2888, 563, 763, 13691, 568, 519, 3119, 1257, 3403, 3926, 593, 5904, 543, 3568, 3044, 1599, 10569, 267, 971, 607, 18521, 1901, 1883, 269, 3958, 267, 4287, 531, 10569, 1450, 23684, 3350, 269, 5015, 267, 606, 21229, 12185, 4737, 543, 25948, 1883, 25247, 602, 2777, 2338, 267, 2596, 6310, 6698, 543, 2027, 3197, 2966, 547, 2743, 3084, 14908, 543, 1893, 2115, 2347, 922, 5888, 563, 26660, 538, 1883, 15236, 6013, 538, 741, 10569, 685, 1745, 267, 5462, 676, 2188, 899, 741, 22786, 267, 7833, 3196, 3892, 543, 1883, 1698, 6109, 1145, 269, 1290, 3228, 1058, 2141, 581, 1283, 10862, 865, 607, 711, 547, 2014, 9854, 547, 11263, 950, 17511, 610, 4730, 3756, 563, 288, 10856, 568, 513, 1688, 13463, 671, 8800, 3403, 3926, 1031, 547, 2981, 3350, 540, 835, 779, 1688, 1394, 543, 8521, 267, 2451, 543, 1318, 883, 5907, 6786, 602, 1852, 513, 24072, 1572, 519, 23684, 593, 513, 2780, 5496, 563, 7197, 8983, 2270, 3606, 16181, 609, 1585, 3252, 269, 8437, 532, 513, 10856, 7735, 1419, 10741, 610, 4291, 2373, 3292, 282, 14467, 543, 3001, 519, 8868, 693, 519, 1482, 942, 20801, 338, 1357, 3817, 563, 11293, 12455, 15299, 949, 10460, 3978, 12178, 950, 1031, 27235, 950, 5665, 513, 10856, 269, 1280, 811, 1344, 267, 1294, 13013, 295, 12226, 685, 3561, 593, 8210, 12455, 15299, 563, 276, 269, 30677, 20000, 454, 2304, 9804, 5397, 2636, 2780, 3755, 547, 1569, 7131, 338, 267, 23861, 338, 543, 18671, 11920, 25923, 269, 1703, 616, 1312, 4835, 543, 5007, 9804, 11479, 563, 1103, 4156, 9804, 11479, 616, 7471, 2047, 883, 513, 3984, 2780, 610, 15291, 267, 1247, 5007, 3283, 1921, 3842, 18292, 610, 1776, 10814, 547, 621, 563, 5472, 2987, 14633, 18376, 7193, 338, 3335, 1331, 9804, 11479, 282, 2705, 267, 607, 2029, 27372, 621, 814, 1831, 9875, 543, 9875, 547, 1265, 1007, 7193, 338, 609, 713, 4183, 3710, 2987, 563, 277, 269, 10434, 20000, 454, 26773, 11479, 616, 1875, 14179, 8684, 28283, 602, 4558, 6119, 971, 607, 6054, 267, 6337, 543, 3059, 8301, 543, 3381, 269, 4578, 6740, 593, 621, 3788, 2922, 1256, 1310, 1379, 814, 1044, 5828, 1055, 593, 707, 2780, 563, 2252, 707, 2182, 5397, 3587, 2407, 267, 621, 949, 3500, 707, 2780, 3648, 607, 519, 2182, 5397, 1590, 3406, 10876, 547, 1265, 1863, 2230, 585, 1007, 6119, 547, 581, 6740, 593, 621, 269, 901, 1184, 3217, 3476, 543, 3217, 909, 811, 2200, 563, 26773, 11479, 1404, 606, 1898, 1909, 538, 519, 2773, 540, 1022, 2780, 282, 3976, 267, 1034, 11380, 339, 3591, 2097, 9280, 609, 3728, 4835, 2182, 11479, 563, 11854, 5474, 616, 1031, 607, 3977, 3457, 547, 16196, 3280, 269, 1358, 666, 1404, 1394, 8301, 6119, 267, 607, 1134, 607, 3246, 5639, 1852, 540, 5904, 563, 5327, 330, 9008, 5624, 616, 2356, 11658, 543, 3908, 538, 2474, 540, 2230, 2139, 585, 10529, 547, 581, 1305, 909, 1510, 18759, 1373, 17672, 269, 1677, 8396, 713, 3390, 267, 19700, 1058, 1413, 585, 10529, 609, 2647, 7299, 24980, 610, 1747, 606, 17974, 2126, 593, 741, 11380, 547, 11574, 14436, 7252, 282, 713, 1131, 6961, 2523, 5363, 693, 2362, 12451, 563, 6624, 5904, 4183, 3710, 2987, 12616, 13033, 2934, 282, 2705, 267, 891, 4296, 949, 581, 3500, 543, 11630, 547, 13779, 269, 589, 12616, 5688, 6500, 666, 948, 3432, 909, 891, 4296, 282, 796, 13318, 16226, 3292, 602, 8532, 1932, 1454, 19961, 1223, 849, 2087, 4950, 11250, 563, 763, 2780, 18376, 568, 519, 851, 540, 513, 7193, 602, 8075, 4749, 14092, 947, 539, 6119, 269, 1411, 666, 1569, 713, 998, 606, 12835, 593, 519, 2780, 5496, 269, 1703, 616, 782, 2987, 14633, 3631, 799, 9192, 13486, 543, 6895, 883, 835, 2013, 585, 1447, 11380, 2230, 4616, 269, 0, 763, 667, 549, 641, 844, 7974, 568, 513, 1826, 540, 844, 7974, 1034, 4122, 1031, 538, 12836, 4371, 896, 519, 2582, 4483, 762, 8917, 630, 4306, 309, 264, 1062, 269, 898, 568, 849, 3006, 1031, 538, 12836, 4371, 896, 519, 4102, 14230, 1505, 540, 5428, 2000, 626, 14354, 6041, 630, 4289, 11553, 1040, 769, 606, 5254, 309, 9550, 519, 844, 7974, 568, 519, 5934, 1297, 540, 16018, 513, 11134, 1590, 4309, 538, 1931, 547, 581, 11221, 269, 7102, 16018, 513, 11134, 11392, 1657, 519, 844, 7974, 616, 11843, 547, 1776, 11134, 269, 634, 667, 549, 641, 844, 7974, 729, 25282, 538, 476, 5908, 279, 676, 519, 2296, 15818, 543, 22301, 8361, 29430, 667, 549, 641, 630, 8146, 272, 1700, 6642, 275, 264, 607, 513, 10682, 585, 519, 4505, 670, 732, 844, 7974, 563, 9213, 519, 667, 549, 641, 844, 7974, 568, 1031, 538, 3592, 782, 5254, 309, 12836, 267, 1519, 519, 3029, 540, 5254, 309, 1031, 538, 3127, 267, 519, 6243, 540, 8581, 267, 8832, 8581, 267, 5689, 3279, 543, 5245, 267, 1851, 824, 4025, 269, 634, 667, 549, 641, 844, 7974, 568, 1360, 2147, 547, 519, 12863, 670, 10402, 22138, 5174, 27688, 4752, 844, 7974, 267, 799, 568, 849, 3006, 29101, 5219, 547, 607, 519, 1412, 291, 549, 641, 844, 7974, 23823, 306, 1545, 8428, 607, 547, 519, 3169, 4542, 585, 519, 667, 549, 641, 844, 7974, 269, 1306, 1031, 538, 519, 6243, 540, 8581, 519, 4542, 568, 2356, 2854, 912, 8117, 811, 10502, 454, 268, 815, 11192, 1297, 540, 4570, 630, 684, 4944, 334, 6150, 264, 16018, 5641, 538, 606, 9550, 563, 268, 815, 2698, 1297, 540, 16295, 547, 581, 4904, 538, 519, 9550, 563, 268, 4016, 547, 519, 8870, 6712, 540, 519, 1297, 267, 3006, 2854, 607, 454, 3080, 2601, 667, 549, 641, 9889, 553, 616, 1031, 811, 1419, 982, 670, 732, 2372, 582, 553, 585, 19486, 11553, 2409, 568, 1317, 711, 1152, 798, 789, 1419, 948, 2569, 519, 2179, 540, 8917, 28029, 532, 2556, 267, 855, 789, 3592, 7357, 9004, 519, 7872, 540, 513, 5354, 540, 17037, 8391, 513, 12102, 540, 16295, 3379, 547, 670, 732, 2372, 582, 553, 269, 634, 667, 549, 641, 2372, 7974, 568, 519, 10545, 2009, 844, 7974, 602, 18715, 602, 972, 786, 581, 607, 1082, 9889, 553, 607, 972, 616, 23602, 5551, 563, 2691, 972, 616, 476, 276, 16295, 547, 581, 4904, 543, 476, 1911, 16018, 5641, 267, 519, 667, 549, 641, 844, 7974, 568, 476, 1704, 16018, 267, 799, 568, 7229, 607, 281, 6715, 518, 9230, 1911, 14370, 276, 266, 272, 4297, 1341, 476, 272, 264, 815, 6715, 518, 9230, 1911, 270, 277, 264, 1341, 476, 272, 264, 815, 6715, 518, 263, 349, 1626, 269, 5780, 278, 1341, 476, 272, 264, 815, 6715, 518, 263, 349, 1704, 269, 5780, 278, 264, 815, 476, 1704, 16018, 563, 1103, 519, 2582, 2914, 27903, 2013, 267, 513, 667, 549, 641, 844, 7974, 568, 513, 5354, 269, 769, 2489, 267, 667, 549, 641, 844, 7974, 2861, 2409, 4043, 547, 4734, 693, 2547, 1175, 896, 513, 667, 549, 641, 844, 7974, 796, 21323, 269, 6423, 519, 10626, 2376, 267, 607, 519, 7521, 1063, 670, 732, 543, 667, 549, 641, 9889, 553, 10169, 19320, 543, 2489, 3278, 519, 3351, 23540, 5288, 269, 5354, 4341, 7521, 563, 763, 834, 295, 10402, 22138, 5174, 27688, 4752, 844, 7974, 257, 9497, 295, 289, 844, 7974, 8442, 630, 4385, 676, 513, 1906, 824, 4408, 607, 1134, 264, 568, 912, 5278, 2959, 1289, 519, 670, 289, 2372, 7974, 513, 667, 549, 641, 2372, 7974, 3079, 267, 2094, 519, 4542, 568, 3592, 9838, 267, 543, 568, 3006, 2808, 1175, 1776, 4542, 538, 519, 1592, 540, 12596, 602, 666, 1031, 547, 5173, 519, 667, 549, 641, 2372, 7974, 269, 1703, 786, 2141, 581, 4010, 835, 811, 670, 289, 844, 7974, 982, 16295, 547, 581, 4904, 269, 5221, 540, 713, 267, 621, 786, 593, 4686, 8317, 581, 2556, 547, 2736, 513, 17063, 1063, 1585, 10457, 547, 6430, 945, 1058, 3094, 609, 11553, 2409, 602, 946, 519, 670, 289, 844, 7974, 563, 2691, 972, 616, 476, 276, 16295, 547, 581, 4904, 543, 476, 1911, 16018, 5641, 267, 519, 670, 289, 844, 7974, 568, 630, 1911, 14370, 276, 266, 272, 4297, 815, 9625, 1626, 269, 5780, 278, 16018, 563, 1103, 519, 2582, 2914, 27903, 2013, 267, 606, 670, 289, 844, 7974, 568, 3368, 540, 519, 17037, 269, 769, 713, 2013, 267, 1079, 10457, 1223, 1142, 723, 3368, 540, 519, 16018, 267, 1775, 4318, 269, 1079, 10457, 1142, 723, 835, 844, 7974, 267, 855, 1152, 835, 10160, 666, 581, 28286, 1540, 269, 5221, 540, 713, 267, 1082, 11553, 2409, 602, 946, 670, 289, 9889, 553, 14574, 602, 513, 11134, 1590, 723, 811, 16018, 982, 737, 670, 289, 9889, 553, 547, 1205, 737, 16295, 630, 328, 4318, 269, 936, 3368, 540, 519, 16018, 267, 538, 519, 2582, 2914, 27903, 2013, 1040, 0, 19425, 2801, 5505, 723, 4362, 519, 21219, 540, 513, 19289, 538, 3624, 6580, 1394, 2185, 8536, 1296, 563, 2026, 4080, 676, 519, 1533, 24507, 3377, 8116, 2473, 514, 327, 7699, 267, 519, 2679, 729, 4362, 693, 519, 1713, 18840, 1670, 3135, 540, 2473, 514, 14741, 538, 7009, 534, 19435, 267, 3844, 3624, 563, 763, 2473, 807, 15913, 267, 606, 2038, 4457, 15913, 26518, 538, 8941, 267, 568, 5156, 547, 723, 9112, 519, 3774, 539, 2749, 540, 2473, 514, 14741, 630, 21709, 271, 268, 8182, 271, 645, 5861, 28593, 288, 1867, 8761, 835, 540, 3624, 779, 1101, 30552, 770, 625, 729, 519, 2473, 807, 269, 898, 568, 15458, 2436, 713, 15913, 11478, 610, 729, 1175, 513, 7242, 269, 4340, 547, 10828, 267, 519, 4258, 978, 19358, 3964, 519, 1744, 836, 19092, 538, 827, 476, 12293, 271, 14514, 1310, 1244, 3151, 519, 3803, 2473, 807, 14610, 267, 945, 1185, 1831, 18348, 543, 22266, 563, 11847, 2176, 1397, 602, 1896, 1296, 3516, 267, 593, 519, 9456, 4871, 540, 519, 2098, 2380, 327, 14241, 5211, 267, 24085, 1336, 519, 24790, 540, 519, 2025, 2749, 269, 898, 568, 476, 1704, 25614, 538, 513, 14328, 3337, 563, 2467, 568, 513, 2178, 9756, 1063, 519, 7043, 3333, 534, 2528, 543, 519, 26526, 16856, 4884, 269, 901, 1279, 3766, 821, 2528, 19497, 5030, 538, 1018, 568, 1631, 7009, 534, 11662, 543, 519, 4478, 2127, 540, 3624, 563, 19425, 2801, 5505, 5063, 1336, 13742, 15738, 547, 519, 3504, 2749, 779, 19289, 1950, 269, 1548, 2370, 3788, 568, 513, 5748, 2497, 602, 729, 2813, 1210, 15155, 4364, 268, 24160, 2409, 269, 634, 946, 540, 6151, 2326, 971, 607, 3618, 267, 18654, 267, 543, 25879, 568, 606, 2025, 4480, 563, 763, 24085, 1336, 513, 4806, 540, 9475, 602, 941, 22274, 856, 14961, 267, 799, 3177, 5813, 883, 519, 11768, 540, 519, 2025, 2679, 269, 634, 26995, 2319, 6205, 267, 9149, 4425, 267, 5143, 1533, 2923, 519, 5748, 949, 723, 1044, 1031, 585, 513, 8027, 1950, 609, 31619, 806, 547, 519, 5087, 543, 5045, 267, 27972, 8651, 547, 519, 7532, 543, 7178, 267, 543, 513, 13452, 538, 519, 1647, 269, 634, 2164, 949, 1683, 4195, 5813, 883, 875, 519, 2473, 807, 15913, 779, 5493, 2167, 3357, 547, 581, 563, 6097 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 18411, 20594, 20594, 11960, 20330, 12041, 281, 1363, 1990, 327, 4802, 327, 454, 10387, 841, 281, 16875, 1990, 327, 4802, 327, 978, 287, 326, 21166, 2593, 454, 309, 619, 542, 281, 1038, 476, 271, 269, 271, 269, 272, 454, 32046, 5384, 281, 567, 476, 1001, 277, 268, 4905, 268, 736, 454, 8310, 318, 7116, 1518, 281, 825, 476, 1001, 277, 268, 4905, 268, 736, 454, 20594, 20594, 11960, 12533, 18257, 692, 18411, 11693, 513, 5569, 5627, 1175, 519, 3197, 1412, 263, 3299, 1412, 264, 3299, 1412, 346, 3299, 1412, 348, 3299, 1412, 9131, 543, 1412, 316, 22779, 323, 9057, 710, 952, 519, 3403, 5569, 568, 4570, 780, 763, 23049, 1590, 2673, 538, 519, 2953, 1931, 267, 834, 3890, 257, 543, 834, 3890, 26514, 24001, 257, 616, 782, 4570, 454, 8117, 834, 263, 316, 257, 543, 834, 8443, 13580, 257, 616, 711, 563, 18257, 692, 5035, 8827, 24998, 2187, 825, 1219, 568, 11749, 573, 4311, 267, 521, 2187, 1038, 8173, 1038, 2433, 6943, 521, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 536, 944, 454, 1038, 8173, 1038, 18470, 815, 11713, 1038, 678, 321, 815, 2715, 10807, 9166, 21948, 3299, 1412, 316, 9166, 262, 314, 3299, 1412, 348, 9166, 262, 346, 262, 8679, 1038, 585, 524, 538, 521, 912, 2018, 952, 524, 538, 678, 321, 269, 11161, 912, 3546, 18470, 6910, 6262, 994, 2018, 952, 524, 538, 678, 321, 269, 12399, 912, 3546, 952, 7003, 10857, 321, 264, 2652, 476, 271, 610, 18470, 15631, 272, 316, 11203, 678, 321, 314, 322, 14158, 7386, 2132, 8771, 454, 3546, 3116, 912, 7386, 18470, 21014, 4590, 1038, 2132, 7003, 10857, 321, 264, 2652, 476, 271, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 18411, 20594, 20594, 11960, 20330, 12041, 281, 1363, 1990, 327, 4802, 327, 454, 10387, 841, 281, 16875, 1990, 327, 4802, 327, 978, 287, 326, 21166, 2593, 454, 309, 619, 542, 281, 1038, 476, 271, 269, 271, 269, 272, 454, 32046, 5384, 281, 567, 476, 1001, 277, 268, 6349, 268, 2420, 454, 8310, 318, 7116, 1518, 281, 825, 476, 1001, 277, 268, 6349, 268, 2420, 454, 20594, 20594, 11960, 12533, 18257, 692, 18411, 10287, 909, 585, 834, 4462, 1664, 11202, 338, 257, 1384, 3086, 2015, 952, 930, 9465, 616, 3773, 547, 519, 21870, 563, 1692, 1082, 2189, 10092, 1131, 972, 581, 2496, 2304, 21677, 543, 8900, 2230, 568, 6825, 607, 476, 272, 543, 476, 271, 6606, 538, 519, 7470, 780, 2690, 1383, 2676, 2467, 568, 835, 21677, 538, 519, 1647, 540, 513, 476, 274, 343, 274, 7470, 607, 11609, 2630, 780, 314, 454, 476, 1496, 271, 267, 271, 267, 271, 16689, 476, 1496, 271, 267, 272, 267, 271, 16689, 476, 1496, 271, 267, 271, 267, 271, 2639, 2639, 763, 2698, 1297, 540, 2189, 10092, 568, 476, 273, 780, 9616, 281, 544, 543, 562, 786, 581, 693, 1034, 476, 1911, 563, 18257, 692, 5035, 8827, 24998, 2187, 825, 1219, 2189, 303, 23411, 4415, 11917, 560, 8163, 4311, 267, 21677, 294, 5090, 2187, 1038, 8173, 1038, 2433, 6943, 21677, 294, 5090, 281, 5903, 314, 8266, 27776, 27663, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 952, 711, 21677, 294, 5090, 610, 21677, 294, 5090, 314, 271, 6012, 271, 316, 2652, 476, 272, 912, 2018, 2132, 476, 271, 454, 1038, 544, 815, 7003, 263, 984, 560, 12386, 294, 5090, 994, 1038, 562, 815, 7003, 263, 984, 560, 12386, 294, 5090, 314, 271, 7481, 1038, 31185, 815, 20886, 271, 585, 9041, 538, 2039, 3799, 266, 272, 13580, 585, 6449, 538, 2039, 9852, 266, 272, 22708, 1038, 1948, 1577, 519, 7127, 31185, 314, 272, 6012, 272, 316, 581, 476, 272, 2663, 454, 1038, 31185, 314, 271, 6012, 272, 316, 815, 476, 272, 454, 1038, 585, 1775, 538, 2039, 263, 272, 267, 544, 266, 272, 2187, 2018, 585, 795, 538, 2039, 263, 272, 267, 562, 266, 272, 2187, 3546, 952, 711, 21677, 294, 5090, 5157, 268, 272, 6012, 329, 268, 272, 14158, 7386, 31185, 5157, 6012, 329, 316, 815, 31185, 5157, 268, 272, 6012, 329, 316, 1341, 31185, 5157, 6012, 329, 268, 272, 2639, 1038, 2132, 31185, 314, 332, 6012, 333, 2639, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 5228, 3070, 1104, 8827, 454, 5228, 3070, 1104, 30741, 7531, 3698, 4020, 3080, 4433, 2187, 825, 952, 521, 2652, 1412, 258, 12466, 1038, 2132, 7183, 454, 825, 3116, 912, 1038, 2132, 30741, 17301, 4433, 11723, 3698, 1711, 21698, 6025, 872, 2187, 825, 7117, 815, 11713, 825, 3597, 815, 4020, 3080, 6025, 872, 314, 271, 8079, 3248, 825, 7117, 6910, 20172, 11850, 825, 7329, 343, 815, 476, 272, 3248, 825, 1247, 7117, 912, 1038, 512, 333, 815, 7117, 21014, 263, 271, 994, 1038, 952, 711, 512, 333, 912, 2018, 3136, 454, 1038, 952, 7329, 343, 2652, 7003, 6025, 872, 2187, 2018, 2736, 454, 1038, 2451, 815, 4020, 3080, 6025, 872, 314, 30915, 7481, 1038, 512, 333, 16000, 815, 2451, 454, 1038, 7117, 6910, 263, 3847, 994, 1038, 7329, 343, 6834, 476, 272, 454, 1038, 952, 7329, 343, 2652, 7003, 6025, 872, 2187, 2018, 2736, 454, 1038, 1318, 815, 4020, 3080, 6025, 872, 314, 30915, 7481, 1038, 7329, 343, 6834, 476, 272, 454, 1038, 512, 333, 16192, 815, 1318, 454, 1038, 7117, 6910, 263, 2431, 994, 825, 2132, 3597, 692, 258, 476, 538, 696, 815, 1711, 21698, 8443, 262, 272, 3299, 1412, 258, 3299, 1412, 273, 3299, 1412, 274, 262, 7481, 514, 696, 815, 1711, 21698, 8443, 262, 272, 3299, 1412, 273, 3299, 1412, 274, 3299, 1412, 258, 262, 2073, 1412, 258, 3299, 1412, 275, 3299, 1412, 258, 3299, 1412, 258, 3299, 1412, 276, 262, 7481, 338, 565, 815, 8827, 4590, 637, 815, 1151, 23357, 4650, 9199, 951, 531, 263, 514, 696, 994, 2745, 263, 637, 994, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 18411, 20594, 20594, 11960, 20330, 12041, 281, 1363, 1990, 327, 4802, 327, 454, 10387, 841, 281, 16875, 1990, 327, 4802, 327, 978, 287, 326, 21166, 2593, 454, 309, 619, 542, 281, 1038, 476, 271, 269, 271, 269, 272, 454, 32046, 5384, 281, 567, 476, 1001, 277, 268, 4905, 268, 4962, 454, 8310, 318, 7116, 1518, 281, 825, 476, 1001, 277, 268, 4905, 268, 4962, 454, 20594, 20594, 11960, 12533, 18257, 692, 18411, 11693, 513, 5569, 267, 1265, 519, 3259, 540, 519, 13074, 10799, 532, 454, 23719, 18110, 3197, 563, 2690, 1383, 267, 519, 13074, 10799, 532, 1510, 18110, 5022, 454, 1721, 834, 29582, 29582, 6277, 257, 568, 834, 29582, 2580, 799, 519, 3259, 568, 476, 274, 563, 2690, 834, 6277, 6277, 321, 257, 519, 13074, 10799, 532, 568, 834, 321, 2580, 609, 519, 3259, 540, 476, 272, 563, 18257, 692, 5035, 8827, 24998, 2187, 825, 1219, 3259, 8170, 16524, 652, 8138, 11415, 4311, 267, 521, 2187, 1038, 8173, 1038, 2433, 6943, 521, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 669, 8266, 815, 30585, 272, 316, 2608, 476, 16348, 454, 1038, 3193, 299, 523, 815, 476, 271, 454, 1038, 1376, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 12759, 4433, 15892, 2018, 10841, 815, 3921, 4433, 5157, 7481, 2018, 952, 669, 8266, 314, 2444, 316, 11203, 268, 272, 543, 669, 8266, 314, 2444, 316, 13843, 1376, 912, 3546, 952, 630, 328, 910, 1376, 264, 3436, 3193, 299, 523, 912, 7386, 3193, 299, 523, 815, 1775, 910, 1376, 454, 3546, 1376, 815, 669, 8266, 314, 2444, 316, 1341, 476, 272, 454, 2018, 669, 8266, 314, 2444, 316, 815, 1775, 454, 1038, 2132, 3193, 32384, 299, 523, 267, 7003, 4433, 9984, 11034, 994, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 18411, 20594, 20594, 11960, 20330, 12041, 281, 1363, 1990, 327, 4802, 327, 454, 10387, 841, 281, 16875, 1990, 327, 4802, 327, 978, 287, 326, 21166, 2593, 454, 309, 619, 542, 281, 1038, 476, 271, 269, 271, 269, 272, 454, 32046, 5384, 281, 567, 476, 1001, 277, 268, 4962, 268, 6349, 454, 8310, 318, 7116, 1518, 281, 825, 476, 1001, 277, 268, 4962, 268, 6349, 454, 20594, 20594, 11960, 12533, 18257, 692, 18411, 25363, 618, 513, 2596, 9498, 547, 6218, 513, 2241, 4082, 5569, 780, 763, 4082, 5569, 3568, 1152, 1875, 24308, 9981, 2676, 31956, 910, 267, 2608, 267, 1315, 12427, 543, 8900, 5624, 4586, 763, 8870, 6498, 1058, 959, 15635, 622, 4724, 4642, 780, 2791, 949, 8263, 602, 519, 2016, 4082, 568, 2141, 4570, 780, 5278, 1806, 912, 257, 274, 266, 273, 265, 273, 257, 815, 476, 278, 454, 257, 476, 274, 270, 273, 834, 815, 476, 272, 454, 257, 476, 274, 266, 276, 270, 273, 257, 815, 476, 276, 454, 9616, 281, 1684, 711, 946, 519, 859, 531, 3710, 2987, 5399, 1599, 780, 290, 1042, 1080, 912, 22492, 7064, 547, 7711, 1206, 585, 4946, 713, 1966, 543, 2870, 782, 1449, 2665, 563, 18257, 692, 5035, 8827, 24998, 2187, 825, 1219, 5173, 4311, 267, 521, 2187, 1038, 8173, 1038, 2433, 6943, 521, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 703, 454, 1038, 8173, 1038, 1003, 815, 476, 271, 454, 1038, 759, 815, 476, 271, 454, 1038, 1129, 815, 1412, 266, 7055, 1038, 10518, 815, 11713, 1038, 562, 815, 7003, 4433, 994, 1038, 585, 1775, 538, 2039, 3799, 2187, 2018, 952, 521, 5157, 4940, 529, 323, 13424, 10031, 3546, 1003, 815, 1003, 2608, 476, 1015, 1341, 703, 4433, 5157, 7481, 2018, 952, 630, 2254, 521, 5157, 4940, 529, 323, 13424, 3890, 543, 521, 5157, 316, 11203, 1412, 1412, 264, 610, 1775, 2652, 562, 910, 476, 272, 912, 3546, 952, 1129, 2652, 1412, 266, 12466, 7386, 10518, 6910, 16325, 994, 3546, 8640, 1129, 2652, 21029, 12466, 7386, 10518, 6910, 8987, 11133, 994, 3546, 8640, 1129, 2652, 24003, 12466, 7386, 10518, 6910, 263, 23637, 21014, 3890, 2608, 1003, 994, 3546, 8640, 1129, 2652, 23367, 12466, 7386, 31575, 815, 10518, 21014, 4590, 7386, 952, 31575, 13843, 476, 271, 912, 13376, 10518, 6910, 6025, 5404, 12262, 1003, 994, 7386, 3116, 912, 13376, 10518, 6910, 8987, 263, 11274, 6025, 5404, 264, 12262, 1003, 4917, 3546, 1129, 815, 521, 5157, 2639, 3546, 1003, 815, 476, 271, 454, 1038, 585, 1297, 538, 10518, 912, 2018, 759, 6834, 1297, 454, 1038, 2132, 759, 454, 0, 26611, 23591, 24800, 19841, 341, 9226, 454, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 18411, 20594, 20594, 11960, 20330, 12041, 281, 1363, 1990, 327, 4802, 327, 454, 10387, 841, 281, 16875, 1990, 327, 4802, 327, 978, 287, 326, 21166, 2593, 454, 309, 619, 542, 281, 1038, 476, 271, 269, 271, 269, 272, 454, 32046, 5384, 281, 567, 476, 1001, 277, 268, 4962, 268, 1626, 454, 8310, 318, 7116, 1518, 281, 825, 476, 1001, 277, 268, 4962, 268, 1626, 454, 20594, 20594, 11960, 12533, 18257, 692, 18411, 2690, 513, 3768, 20526, 3113, 609, 3529, 4162, 2676, 933, 666, 3442, 1022, 6843, 607, 519, 3597, 563, 763, 1267, 3113, 568, 1287, 513, 12082, 3529, 563, 16449, 782, 2009, 12082, 4054, 2676, 29006, 609, 5934, 4463, 616, 1572, 5934, 4463, 4054, 630, 300, 12487, 338, 1916, 11693, 971, 513, 3113, 267, 2328, 513, 1599, 547, 1265, 782, 519, 631, 12487, 338, 454, 663, 2132, 513, 1592, 540, 741, 3597, 10297, 780, 26705, 454, 763, 3113, 3568, 562, 9136, 799, 616, 13042, 689, 476, 271, 547, 562, 910, 476, 272, 563, 2791, 786, 581, 2016, 519, 1297, 562, 543, 513, 1592, 540, 3768, 20526, 8728, 454, 16216, 778, 6316, 568, 513, 6292, 540, 10297, 6393, 2791, 666, 8263, 602, 1100, 26134, 8728, 786, 2408, 538, 8728, 563, 7712, 782, 8728, 616, 3768, 20526, 267, 1496, 271, 267, 476, 272, 316, 568, 519, 1482, 607, 1496, 272, 267, 476, 271, 2639, 663, 3976, 786, 711, 2408, 1927, 538, 8728, 780, 7078, 476, 272, 1384, 11693, 562, 815, 476, 275, 267, 8728, 815, 20886, 272, 267, 476, 271, 3910, 1496, 272, 267, 476, 273, 3910, 1496, 272, 267, 476, 274, 316, 6540, 1038, 476, 271, 454, 1038, 11406, 1038, 476, 272, 454, 11434, 1315, 26444, 8587, 476, 273, 567, 476, 274, 454, 8873, 1496, 272, 6540, 7078, 476, 273, 1384, 11693, 562, 815, 476, 277, 267, 8728, 815, 20886, 271, 267, 476, 274, 3910, 1496, 272, 267, 476, 274, 3910, 1496, 273, 267, 476, 274, 3910, 1496, 275, 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 ]
[ 1422, 3847, 263, 2715, 910, 476, 273, 315, 6523, 476, 271, 910, 476, 276, 315, 7562, 476, 271, 348, 1422, 2431, 9385, 315, 1299, 815, 910, 476, 272, 910, 1422, 2765, 13997, 276, 25490, 476, 274, 7684, 2410, 273, 348, 1341, 476, 273, 11138, 1299, 815, 476, 272, 910, 1422, 2765, 13997, 276, 25490, 476, 274, 7684, 2410, 273, 4153, 754, 9387, 265, 10926, 24718, 713, 2626, 547, 519, 3105, 2626, 267, 2523, 519, 6268, 693, 4642, 269, 898, 779, 1360, 2653, 547, 1205, 883, 519, 4356, 540, 1175, 1603, 1524, 4642, 950, 10442, 513, 1599, 693, 4642, 269, 901, 568, 2523, 513, 1966, 950, 1082, 540, 519, 3252, 602, 649, 11753, 4125, 1152, 3230, 343, 2330, 685, 338, 6659, 547, 2318, 9981, 282, 891, 6218, 568, 4642, 540, 1576, 269, 2991, 10442, 1082, 540, 891, 5686, 540, 17386, 29398, 621, 779, 2653, 547, 1205, 883, 519, 4356, 540, 1175, 1603, 1524, 4642, 950, 596, 6218, 693, 4642, 269, 1717, 267, 972, 616, 1082, 3252, 856, 972, 602, 5749, 1406, 4642, 950, 11117, 693, 4642, 865, 581, 6297, 780, 322, 6695, 6234, 1422, 842, 3709, 3189, 267, 3189, 7032, 7684, 270, 346, 277, 4153, 282, 3686, 3867, 3189, 267, 3189, 7032, 7684, 270, 346, 275, 4153, 282, 12453, 346, 276, 910, 476, 273, 315, 5913, 1990, 315, 11927, 1990, 20867, 323, 345, 24995, 8058, 8827, 692, 8253, 1454, 547, 798, 824, 982, 798, 519, 7533, 780, 17961, 9387, 265, 4153, 842, 3709, 3189, 267, 3189, 7032, 7684, 270, 346, 277, 4153, 282, 3686, 3867, 3189, 267, 3189, 7032, 7684, 270, 346, 275, 4153, 282, 12453, 346, 276, 910, 476, 273, 315, 5913, 1990, 315, 11927, 1990, 20867, 323, 345, 3686, 1299, 815, 1422, 3847, 269, 11513, 3847, 263, 2715, 276, 345, 910, 476, 273, 315, 5913, 1990, 348, 1422, 2431, 14587, 1422, 2431, 347, 18155, 267, 3189, 7032, 7684, 270, 346, 277, 4153, 282, 23685, 267, 3189, 7032, 7684, 270, 346, 275, 4153, 282, 27874, 1299, 815, 476, 276, 13375, 263, 11513, 2765, 3189, 7032, 25452, 275, 3686, 1422, 2431, 264, 910, 476, 273, 315, 5913, 1422, 3847, 263, 11513, 2765, 3189, 7032, 25452, 275, 3686, 1422, 2431, 264, 910, 1422, 3847, 263, 2715, 276, 13375, 263, 11513, 2765, 3189, 7032, 25452, 277, 3686, 1422, 2431, 264, 910, 476, 273, 315, 5913, 1422, 3847, 263, 11513, 2765, 3189, 7032, 25452, 277, 3686, 1422, 2431, 14587, 1422, 2431, 9385, 315, 1299, 815, 1422, 2765, 13997, 276, 19570, 7684, 2410, 346, 1321, 3686, 910, 476, 273, 25490, 476, 273, 1341, 1422, 2765, 346, 275, 2410, 3189, 6912, 476, 274, 476, 14990, 754, 9387, 265, 10926, 2690, 519, 6268, 267, 11291, 602, 692, 7445, 5913, 1990, 815, 1422, 2765, 346, 272, 2410, 3189, 6523, 1990, 32556, 663, 865, 952, 649, 666, 6218, 25482, 693, 891, 7285, 649, 666, 6218, 3813, 656, 693, 891, 7285, 780, 323, 6695, 6234, 1422, 842, 3709, 3189, 267, 910, 476, 736, 3686, 3867, 3189, 267, 910, 476, 272, 12453, 3189, 2765, 346, 274, 2410, 13997, 3189, 8578, 346, 324, 3686, 3867, 910, 1990, 3686, 3686, 910, 1422, 2765, 346, 272, 2410, 346, 274, 345, 14990, 267, 323, 345, 24995, 8058, 8827, 692, 1103, 1931, 547, 798, 713, 835, 786, 991, 547, 27682, 1312, 540, 519, 2474, 538, 519, 7533, 513, 2370, 607, 5205, 10484, 7445, 842, 3709, 3189, 267, 910, 476, 736, 3686, 3867, 3189, 267, 910, 476, 272, 12453, 3189, 2765, 346, 274, 2410, 13997, 3189, 8578, 346, 324, 3686, 3867, 910, 1990, 3686, 3686, 910, 1422, 2765, 346, 272, 2410, 346, 274, 345, 14990, 267, 323, 345, 3686, 815, 1422, 842, 3709, 3189, 267, 910, 476, 736, 3686, 3867, 3189, 267, 910, 476, 272, 12453, 346, 274, 346, 3189, 8578, 346, 324, 3686, 317, 345, 348, 910, 1422, 2765, 346, 272, 2410, 274, 4153, 2765, 346, 272, 2410, 345, 4153, 267, 323, 345, 32556, 2690, 519, 1101, 2165, 11291, 649, 1031, 519, 1739, 1249, 827, 23055, 780, 259, 346, 343, 3867, 910, 513, 3686, 815, 1422, 2765, 346, 272, 2410, 13997, 343, 317, 320, 3686, 4153, 24264, 346, 271, 269, 276, 514, 4153, 2765, 346, 272, 2410, 13997, 343, 3867, 910, 513, 3686, 3686, 815, 2715, 343, 317, 320, 10592, 1103, 519, 2034, 2165, 267, 2921, 519, 476, 274, 856, 540, 519, 14009, 786, 1175, 1118, 10128, 602, 2165, 4443, 780, 3086, 519, 7533, 780, 17961, 9387, 265, 4153, 842, 3709, 3189, 267, 910, 476, 736, 3686, 3867, 3189, 267, 910, 476, 272, 12453, 3189, 2765, 346, 274, 2410, 13997, 3189, 8578, 346, 324, 3686, 3867, 910, 1990, 3686, 3686, 910, 1422, 2765, 346, 272, 2410, 346, 274, 345, 14990, 267, 323, 345, 3686, 1299, 815, 1422, 3847, 269, 11513, 3847, 263, 2715, 274, 346, 3189, 8578, 346, 324, 3686, 317, 345, 348, 910, 1422, 2765, 346, 272, 2410, 274, 4153, 15238, 1422, 3847, 347, 1990, 1422, 2431, 347, 348, 1422, 2431, 14587, 1422, 2431, 347, 3709, 910, 476, 736, 8703, 910, 476, 272, 27874, 1299, 815, 476, 274, 346, 3189, 8578, 346, 324, 3686, 3867, 910, 476, 272, 3686, 910, 1422, 2765, 346, 272, 2410, 274, 4153, 15238, 1422, 3847, 347, 2715, 910, 476, 272, 348, 1422, 2431, 347, 910, 1422, 3847, 263, 2715, 274, 346, 3189, 8578, 346, 324, 3686, 3867, 910, 476, 736, 3686, 910, 1422, 2765, 346, 272, 2410, 274, 4153, 15238, 1422, 3847, 347, 2715, 910, 476, 736, 348, 1422, 2431, 347, 348, 1422, 2431, 9385, 315, 1299, 815, 476, 274, 346, 3189, 8578, 346, 324, 3686, 3867, 910, 476, 272, 3686, 910, 476, 274, 346, 3189, 8578, 346, 324, 3686, 3867, 910, 476, 736, 3686, 1341, 1422, 2765, 346, 272, 2410, 274, 4153, 15238, 1422, 3847, 347, 2715, 736, 348, 1422, 2431, 24689, 754, 9387, 265, 10926, 9617, 4734, 519, 2626, 899, 713, 269, 898, 779, 30255, 267, 855, 621, 779, 849, 3169, 780, 9616, 602, 519, 6207, 1871, 13063, 593, 519, 30233, 616, 2838, 1934, 269, 9453, 873, 649, 7948, 1406, 723, 2944, 519, 6268, 780, 324, 6695, 6234, 1422, 842, 3709, 3189, 267, 910, 476, 273, 3686, 3867, 3189, 267, 274, 12453, 346, 276, 346, 339, 317, 277, 348, 910, 476, 1015, 339, 1341, 1422, 2765, 346, 272, 2410, 339, 4153, 282, 19049, 24995, 8058, 8827, 692, 1607, 7533, 666, 1406, 581, 2944, 269, 1703, 568, 6498, 676, 4642, 538, 519, 3791, 2165, 693, 3230, 339, 815, 476, 271, 2330, 543, 3230, 339, 815, 476, 271, 2330, 6013, 538, 519, 8884, 540, 5610, 269, 634, 1249, 602, 519, 1101, 1079, 2474, 666, 581, 7471, 3085, 1406, 2339, 269, 1403, 1256, 835, 2165, 538, 519, 7533, 666, 1406, 581, 7471, 1287, 519, 2898, 7533, 666, 1406, 581, 2944, 780, 3383, 267, 649, 4076, 17223, 513, 4023, 1297, 540, 17386, 29398, 693, 713, 1448, 269, 5457, 602, 519, 5318, 5354, 540, 519, 960, 538, 7384, 873, 568, 1101, 4466, 519, 22543, 9548, 7533, 269, 4495, 649, 4076, 1336, 602, 519, 1964, 568, 1175, 930, 1297, 1835, 684, 4221, 780, 2467, 616, 513, 7008, 540, 3226, 16602, 17386, 29398, 602, 649, 991, 547, 1491, 513, 1413, 693, 1985, 269, 24511, 789, 616, 1152, 16602, 2394, 596, 1294, 875, 547, 798, 873, 267, 865, 1810, 1406, 1205, 1932, 9599, 827, 873, 269, 634, 1101, 835, 3322, 10128, 513, 4062, 3772, 1599, 780, 7078, 476, 275, 9717, 267, 1269, 325, 13375, 263, 1535, 1422, 2431, 264, 815, 1422, 3847, 28381, 11513, 8218, 15204, 2410, 265, 346, 736, 2410, 331, 3686, 277, 261, 346, 3189, 3387, 2135, 346, 604, 31998, 343, 3436, 476, 272, 27874, 346, 274, 12757, 317, 273, 3686, 261, 346, 3189, 3387, 2135, 346, 604, 31998, 343, 1422, 548, 476, 272, 4153, 754, 15204, 3686, 1422, 2431, 269, 6911, 24066, 10663, 1142, 540, 519, 1739, 29398, 780, 272, 269, 6695, 6234, 1422, 842, 3709, 3189, 267, 1015, 3686, 3867, 3189, 267, 2420, 12453, 346, 325, 13375, 263, 1535, 1422, 2431, 9385, 267, 11459, 3686, 16465, 273, 269, 6695, 6234, 1422, 842, 3709, 3189, 267, 910, 476, 273, 3686, 3867, 3189, 267, 274, 12453, 346, 325, 13375, 263, 1535, 1422, 2431, 9385, 267, 11459, 3686, 16465, 17004, 2353, 10298, 1109, 295, 728, 2353, 10298, 454, 17004, 17564, 692, 763, 3113, 8761, 513, 1966, 269, 901, 1599, 568, 711, 6024, 693, 3230, 343, 815, 476, 272, 2330, 663, 649, 2461, 2469, 547, 723, 547, 4585, 856, 585, 602, 780, 320, 6695, 6234, 1422, 842, 3709, 3189, 267, 1015, 3686, 3867, 3189, 267, 2420, 12453, 346, 325, 13375, 263, 1535, 1422, 2431, 9385, 267, 11459, 24995, 8058, 8827, 692, 2690, 713, 7533, 5469, 602, 3230, 343, 815, 476, 272, 2330, 568, 711, 538, 519, 8884, 540, 5610, 543, 865, 602, 568, 1945, 602, 649, 3580, 711, 991, 547, 5855, 827, 538, 713, 851, 780, 9827, 4063, 519, 7182, 585, 519, 7533, 9114, 7357, 538, 519, 2039, 585, 519, 1101, 1599, 269, 1548, 713, 1797, 585, 721, 568, 602, 950, 649, 798, 519, 7533, 782, 649, 991, 547, 798, 568, 11690, 538, 519, 1101, 1599, 883, 519, 7533, 780, 2080, 568, 519, 7533, 780, 17961, 9387, 265, 4153, 842, 3709, 3189, 267, 1015, 3686, 3867, 3189, 267, 2420, 12453, 346, 325, 13375, 263, 1535, 1422, 2431, 9385, 267, 11459, 3686, 1299, 815, 1422, 842, 3709, 3189, 267, 1015, 3686, 3867, 3189, 267, 2420, 12453, 346, 277, 20867, 11459, 3686, 11138, 1299, 815, 1422, 3847, 269, 2715, 277, 343, 348, 1422, 2431, 347, 3709, 1015, 8703, 2420, 27874, 1299, 815, 476, 15171, 910, 476, 2568, 11138, 1299, 815, 476, 7761, 17910, 9387, 265, 10926, 321, 6695, 6234, 1422, 842, 3709, 3189, 267, 910, 476, 273, 3686, 3867, 3189, 267, 274, 12453, 346, 325, 13375, 263, 1535, 1422, 2431, 9385, 267, 11459, 24995, 8058, 8827, 692, 1103, 713, 851, 3230, 343, 815, 476, 272, 2330, 568, 1063, 519, 7182, 540, 5610, 269, 901, 1797, 602, 519, 2076, 8681, 568, 1100, 3476, 6024, 538, 519, 8884, 540, 5610, 543, 602, 568, 513, 1397, 3247, 704, 607, 2484, 649, 2461, 7255, 269, 1306, 7074, 1657, 649, 3274, 666, 1406, 11753, 3252, 602, 5749, 1406, 6024, 538, 519, 8884, 540, 5610, 780, 9827, 267, 1256, 952, 519, 1599, 729, 6024, 693, 3230, 343, 815, 476, 272, 2330, 649, 1131, 1869, 723, 519, 1966, 602, 519, 1599, 568, 2965, 1079, 1114, 4834, 4470, 1141, 649, 616, 538, 519, 8884, 540, 5610, 780, 4131, 779, 1101, 2232, 519, 1966, 540, 519, 1599, 711, 1373, 6024, 693, 3230, 343, 815, 476, 272, 21974, 1306, 649, 3580, 1294, 267, 538, 713, 2013, 267, 952, 649, 666, 1265, 513, 1259, 1472, 713, 1966, 519, 2034, 1966, 786, 849, 1205, 3144, 1416, 540, 693, 519, 1482, 942, 780, 1103, 519, 3105, 1806, 1141, 649, 1185, 3252, 602, 14201, 1406, 6024, 649, 1185, 6498, 676, 4642, 543, 1100, 2339, 875, 2182, 649, 2119, 649, 666, 1406, 1205, 7759, 540, 602, 1966, 269, 10406, 676, 4642, 568, 513, 1483, 1966, 543, 649, 666, 1406, 2731, 2057, 621, 269, 769, 713, 2013, 519, 19944, 8462, 1281, 711, 6565, 689, 2042, 609, 519, 1599, 711, 4540, 693, 3230, 343, 815, 476, 272, 21974, 5502, 519, 1599, 568, 711, 6024, 1317, 621, 3217, 593, 1114, 2418, 593, 2901, 5011, 540, 3230, 343, 815, 476, 272, 21974, 1284, 666, 968, 24525, 892, 713, 1966, 676, 11291, 532, 16296, 476, 276, 689, 519, 3105, 3296, 269, 901, 3959, 6645, 721, 602, 649, 666, 2328, 519, 7533, 607, 5205, 10484, 7445, 842, 3709, 3189, 267, 910, 476, 273, 3686, 3867, 3189, 267, 274, 12453, 346, 325, 13375, 263, 1535, 1422, 2431, 9385, 267, 11459, 3686, 815, 1422, 842, 3709, 3189, 267, 910, 476, 273, 3686, 3867, 3189, 267, 272, 12453, 346, 325, 13375, 263, 1535, 1422, 2431, 9385, 267, 11459, 3686, 1341, 1422, 842, 3709, 3189, 267, 272, 3686, 3867, 3189, 267, 274, 12453, 346, 325, 13375, 263, 1535, 1422, 2431, 9385, 267, 11459, 32556, 4002, 1142, 540, 891, 11996, 519, 1599, 568, 6024, 269, 769, 1249, 649, 666, 2161, 811, 269, 769, 519, 1101, 7533, 649, 786, 723, 3230, 343, 2330, 1063, 910, 273, 543, 476, 272, 543, 713, 1797, 602, 649, 666, 946, 519, 2034, 3830, 585, 3230, 325, 13375, 263, 1535, 1422, 2431, 14638, 543, 11338, 585, 519, 2034, 7533, 3230, 343, 2330, 786, 581, 1063, 476, 272, 543, 476, 274, 543, 865, 649, 666, 946, 519, 1101, 1599, 585, 3230, 325, 13375, 263, 1535, 1422, 2431, 14638, 269, 634, 7533, 538, 713, 2013, 568, 1287, 10484, 17961, 9387 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 5038, 274, 1700, 5780, 274, 269, 8222, 281, 1015, 269, 14056, 278, 270, 271, 4817, 277, 2190, 4281, 272, 25090, 277, 3374, 277, 563, 15803, 593, 3127, 454, 305, 8643, 814, 1185, 27676, 569, 11213, 5712, 2479, 2094, 1352, 3323, 13461, 593, 7630, 762, 15333, 1061, 1161, 269, 1879, 1352, 6603, 856, 547, 1200, 4387, 585, 948, 267, 1352, 729, 5143, 547, 581, 3461, 543, 602, 968, 10472, 4523, 267, 621, 568, 3833, 3339, 1848, 1809, 621, 1281, 1118, 621, 1360, 2352, 585, 1200, 547, 4383, 1200, 5712, 269, 3502, 1152, 1281, 1352, 723, 547, 20965, 11328, 4167, 532, 7010, 540, 5295, 1744, 12686, 2657, 543, 4270, 7424, 540, 12124, 17904, 20709, 538, 519, 12745, 540, 5046, 268, 866, 538, 966, 6359, 599, 1177, 3385, 543, 717, 2863, 584, 267, 1656, 31137, 21423, 267, 3127, 454, 20082, 17904, 960, 538, 3127, 568, 606, 896, 1998, 4240, 1909, 2124, 326, 730, 547, 13840, 8589, 2213, 2950, 269, 634, 13016, 2470, 540, 741, 960, 13745, 609, 3668, 540, 1533, 7939, 8952, 3653, 4600, 16290, 538, 6710, 269, 901, 1353, 6663, 547, 1174, 875, 12969, 532, 1949, 543, 1894, 540, 1379, 1764, 519, 8116, 540, 3653, 4600, 547, 3337, 741, 1072, 543, 20965, 1607, 5618, 14592, 519, 960, 540, 519, 8121, 30990, 1788, 543, 568, 513, 9910, 4367, 547, 875, 649, 960, 538, 15057, 267, 16273, 267, 23683, 2274, 821, 543, 3127, 607, 1134, 607, 3246, 513, 26882, 8929, 540, 930, 540, 519, 2081, 538, 799, 649, 723, 1500, 513, 3017, 269, 3367, 519, 5618, 952, 596, 1616, 547, 1174, 519, 931, 24832, 2497, 20965, 21010, 532, 22893, 547, 3163, 1107, 590, 275, 292, 274, 1107, 13044, 476, 866, 1382, 543, 3347, 609, 2950, 538, 13016, 5468, 585, 3609, 3210, 454, 1103, 713, 3018, 779, 12558, 649, 2911, 827, 5046, 268, 866, 543, 875, 2951, 543, 1857, 1072, 9993, 4843, 2591, 547, 4180, 602, 4683, 8589, 2213, 9739, 941, 4862, 676, 3173, 543, 3609, 15670, 538, 3127, 543, 16273, 269, 3776, 11141, 14538, 7905, 17939, 2088, 13056, 714, 681, 1662, 573, 543, 18947, 3194, 29533, 3220, 2529, 675, 330, 3873, 12275, 574, 7578, 1865, 519, 2956, 540, 2348, 3964, 1279, 3856, 3347, 31218, 0, 333, 1111, 2495, 2575, 5405, 509, 454, 288, 2575, 23088, 568, 513, 15149, 540, 9562, 540, 513, 2189, 7574, 960, 602, 666, 581, 4421, 547, 1776, 5428, 269, 634, 8227, 814, 519, 12600, 1318, 547, 3313, 875, 519, 5888, 568, 1031, 8160, 541, 476, 279, 267, 476, 1708, 273, 454, 8802, 8973, 713, 267, 1432, 568, 606, 23088, 2575, 888, 1432, 4010, 616, 789, 267, 543, 875, 616, 32454, 9750, 883, 519, 2575, 2872, 286, 23088, 6763, 585, 968, 12061, 1922, 2426, 1043, 18351, 892, 610, 267, 811, 3274, 267, 513, 3059, 2445, 1043, 11751, 543, 4421, 1210, 15170, 269, 32454, 666, 2039, 689, 1148, 543, 3280, 19827, 547, 17914, 543, 811, 269, 32454, 6383, 606, 11141, 1269, 1839, 5479, 538, 2949, 6455, 538, 476, 1708, 272, 563, 10190, 267, 1432, 1281, 606, 23088, 1796, 585, 888, 12061, 1922, 2426, 1043, 18351, 301, 10499, 6763, 585, 1875, 1922, 2426, 1043, 18351, 269, 898, 779, 3622, 3710, 1210, 519, 1482, 2186, 540, 5752, 607, 15170, 267, 899, 11670, 610, 21578, 267, 855, 602, 779, 1141, 519, 16726, 7475, 269, 8447, 2724, 543, 19116, 616, 968, 325, 2426, 1043, 2223, 2495, 789, 666, 581, 21775, 610, 22121, 585, 835, 1776, 563, 17357, 22046, 5944, 267, 1692, 1281, 23088, 960, 609, 2575, 888, 1103, 519, 2575, 1158, 267, 606, 23088, 1223, 581, 3989, 607, 513, 4686, 2445, 1043, 602, 568, 6740, 593, 513, 3059, 24432, 269, 20551, 543, 12372, 666, 1711, 32454, 2933, 547, 25488, 1055, 1585, 3029, 540, 3059, 2923, 547, 741, 11655, 945, 2628, 1210, 19116, 899, 11670, 267, 21578, 543, 1866, 563, 13010, 267, 1432, 1281, 23088, 1796, 585, 5159, 888, 1432, 568, 23088, 1148, 286, 23088, 1148, 568, 513, 3059, 10697, 602, 568, 2445, 762, 267, 2189, 267, 543, 1875, 20675, 2536, 571, 1076, 267, 23634, 525, 6045, 269, 5272, 23088, 568, 2189, 538, 621, 779, 3860, 1374, 543, 3112, 581, 5918, 6088, 267, 1818, 873, 3908, 543, 4686, 269, 32454, 1205, 741, 1871, 1317, 519, 11834, 18327, 9562, 540, 519, 1148, 563, 16665, 7726, 12226, 5853, 454, 1432, 568, 513, 23088, 17581, 888, 19950, 538, 267, 543, 10761, 827, 267, 1875, 1922, 2426, 1043, 21797, 630, 301, 10499, 338, 264, 1011, 10757, 538, 476, 1708, 272, 543, 519, 1101, 1906, 3275, 540, 476, 1708, 273, 269, 4653, 267, 32454, 1765, 21745, 1388, 21797, 6740, 593, 513, 9893, 602, 666, 2594, 9562, 540, 3688, 1765, 17647, 1044, 2919, 585, 513, 2647, 2220, 987, 540, 3688, 267, 689, 3059, 1148, 547, 2680, 17914, 547, 1483, 8996, 17195, 5370, 563, 4692, 594, 6133, 1250, 2575, 607, 606, 23088, 888, 306, 2454, 2575, 607, 606, 23088, 568, 606, 3078, 1259, 585, 5159, 543, 2516, 547, 1395, 564, 1125, 741, 2575, 269, 898, 5932, 513, 835, 6361, 8584, 29292, 18351, 602, 3947, 519, 8227, 519, 3959, 779, 2924, 610, 513, 2671, 269, 769, 1840, 267, 621, 3947, 11655, 513, 4062, 540, 519, 2650, 3001, 4464, 267, 1818, 11655, 1256, 811, 16539, 538, 519, 1967, 540, 741, 5172, 13164, 563, 1432, 1281, 23088, 1611, 593, 28607, 339, 758, 888, 301, 10499, 338, 2443, 2110, 585, 1875, 1922, 2426, 1043, 21797, 2443, 616, 3059, 1239, 1419, 5532, 609, 513, 3758, 540, 606, 3239, 267, 5152, 267, 610, 3381, 563, 1432, 666, 581, 606, 23088, 888, 301, 10499, 338, 616, 21797, 602, 649, 666, 946, 547, 2099, 9562, 540, 2189, 3688, 269, 1358, 1577, 721, 18351, 1047, 1919, 899, 1148, 267, 2445, 17156, 267, 1256, 1483, 10040, 269, 1358, 666, 1152, 723, 835, 4013, 8227, 693, 513, 942, 543, 789, 2461, 17956, 676, 519, 21578, 9893, 1107, 1100, 835, 666, 12189, 519, 2594, 540, 9562, 610, 5299, 9706, 4292, 513, 1007, 23088, 883, 6228, 563, 1432, 568, 23088, 538, 15303, 334, 888, 301, 10499, 6763, 585, 1875, 1922, 2426, 1043, 18351, 269, 898, 779, 3622, 3710, 1210, 519, 1482, 2186, 540, 5752, 607, 15170, 267, 899, 11670, 610, 21578, 267, 855, 602, 779, 1141, 519, 16726, 7475, 269, 8447, 2724, 543, 19116, 616, 968, 325, 2426, 1043, 2223, 2495, 789, 666, 581, 21775, 610, 22121, 585, 835, 1776, 563, 1432, 568, 23088, 538, 1000, 7867, 888, 1432, 616, 32454, 543, 875, 798, 789, 960, 286, 1315, 12108, 269, 1548, 616, 32454, 543, 875, 798, 789, 960, 286, 6056, 540, 873, 607, 3059, 22783, 540, 13597, 269, 589, 1875, 1922, 2426, 1043, 18351, 267, 610, 23088, 267, 568, 513, 2189, 267, 9048, 2897, 762, 32165, 2813, 676, 606, 5690, 281, 589, 3982, 536, 2117, 1712, 585, 513, 3059, 4062, 540, 1148, 610, 2445, 1043, 269, 0, 30696, 532, 593, 707, 2104, 3340, 1582, 18221, 538, 519, 1459, 563, 268, 5772, 5809, 2123, 9342, 1299, 5759, 454, 268, 13760, 338, 513, 2039, 540, 2022, 29364, 776, 3681, 454, 268, 6282, 525, 606, 4065, 543, 19396, 4643, 454, 15275, 5809, 2123, 9342, 1299, 5759, 454, 268, 3203, 10306, 919, 4081, 19038, 6421, 1759, 593, 2833, 563, 268, 3203, 10306, 919, 2127, 540, 1719, 543, 15421, 543, 11394, 3255, 538, 891, 2127, 563, 268, 13760, 338, 519, 3017, 1063, 4690, 10774, 984, 9812, 543, 1983, 270, 2194, 6421, 630, 328, 4318, 269, 15055, 11176, 267, 568, 21295, 538, 7223, 1916, 268, 13760, 338, 1010, 17017, 7209, 1826, 630, 328, 4318, 269, 25644, 3200, 267, 970, 549, 3200, 264, 607, 1134, 607, 2324, 7375, 630, 328, 4318, 269, 9602, 267, 13964, 267, 3728, 19550, 1916, 308, 2955, 338, 513, 2039, 540, 2022, 16149, 776, 3681, 454, 268, 4223, 2583, 4876, 12440, 609, 2838, 1377, 540, 2069, 2556, 585, 7127, 543, 4359, 1377, 6009, 563, 268, 4223, 2583, 4876, 12440, 609, 2022, 16149, 776, 32407, 610, 3292, 563, 268, 5772, 5809, 13354, 5294, 543, 931, 540, 13995, 267, 476, 273, 4458, 543, 476, 275, 4458, 3681, 563, 268, 1763, 792, 2583, 519, 4876, 12440, 547, 1294, 952, 2866, 610, 3872, 13120, 666, 581, 6976, 585, 676, 519, 16108, 563, 268, 17978, 609, 4648, 538, 519, 2361, 540, 4876, 1719, 454, 24478, 525, 606, 4065, 543, 19396, 4643, 454, 268, 5772, 5809, 543, 2824, 338, 476, 272, 268, 274, 14323, 4876, 3681, 543, 16034, 873, 454, 268, 18918, 538, 960, 2861, 1565, 2833, 454, 268, 2423, 985, 2852, 5491, 543, 5924, 606, 2872, 15149, 454, 268, 12160, 919, 538, 2022, 29364, 776, 9872, 3643, 725, 454, 268, 570, 1389, 13387, 4255, 952, 2838, 630, 16898, 13478, 2969, 994, 268, 7388, 5052, 14174, 293, 6347, 543, 29349, 2883, 1544, 454, 268, 7388, 5052, 2022, 16149, 776, 5238, 610, 2816, 3156, 593, 942, 454, 268, 2037, 2651, 338, 538, 2022, 16149, 776, 2069, 610, 13788, 519, 13781, 1759, 593, 4857, 4876, 4690, 543, 5759, 269, 0, 21607, 2875, 6278, 593, 519, 3728, 13652, 1188, 454, 13914, 2962, 5026, 899, 25920, 24692, 543, 22720, 311, 723, 4986, 547, 798, 609, 2168, 2257, 286, 6056, 1586, 267, 2523, 607, 789, 9305, 547, 4909, 6323, 2035, 899, 5163, 267, 3196, 267, 543, 2241, 6191, 1765, 2254, 547, 2446, 519, 1966, 6061, 2838, 269, 1548, 779, 811, 267, 1317, 3214, 786, 1616, 547, 267, 11287, 2962, 5026, 568, 513, 3501, 6174, 585, 5009, 1582, 30928, 543, 10319, 1565, 1547, 1547, 1547, 609, 11059, 3163, 607, 707, 9920, 779, 8261, 563, 7437, 513, 4999, 540, 1433, 543, 3381, 267, 9291, 21662, 517, 2488, 782, 519, 2326, 596, 3580, 991, 547, 1205, 3323, 267, 609, 519, 15726, 7704, 1360, 1454, 538, 2407, 2070, 269, 18738, 543, 3544, 267, 596, 3580, 1265, 912, 23961, 1206, 517, 267, 606, 12314, 7548, 538, 2257, 543, 2029, 2069, 693, 519, 2160, 540, 7147, 693, 4432, 17131, 334, 734, 663, 606, 28048, 25920, 4580, 518, 1765, 13757, 14916, 7796, 6838, 519, 11059, 3163, 1982, 269, 898, 1568, 2336, 21893, 568, 606, 14222, 4199, 585, 1022, 1647, 1153, 2257, 4116, 3843, 547, 4497, 29267, 582, 17300, 1053, 610, 2936, 1966, 2861, 1565, 2994, 538, 513, 1259, 602, 568, 3078, 543, 6209, 30882, 734, 27839, 20811, 16019, 267, 5664, 3427, 3163, 11819, 454, 299, 2106, 577, 5664, 3427, 454, 2791, 666, 1224, 713, 19545, 2228, 538, 513, 1357, 11422, 267, 1510, 23842, 4376, 610, 16459, 3301, 563, 1607, 19545, 568, 2139, 538, 3758, 2010, 912, 1607, 19545, 568, 2139, 538, 912, 5475, 596, 4312, 11751, 713, 19545, 267, 596, 666, 3442, 547, 4647, 2901, 519, 7300, 4528, 610, 519, 552, 8530, 267, 610, 1312, 563, 763, 17404, 814, 13859, 713, 1433, 538, 19010, 300, 5131, 1106, 609, 3059, 1216, 5658, 532, 563, 2791, 666, 1224, 713, 26496, 593, 1022, 3926, 602, 7028, 19010, 300, 6954, 21768, 18510, 610, 19010, 300, 6954, 7300, 3898, 563, 763, 17404, 814, 13859, 713, 1433, 538, 24290, 1106, 267, 799, 1797, 602, 596, 991, 547, 3888, 1863, 3301, 538, 1931, 547, 12260, 543, 1224, 621, 563, 2414, 1224, 713, 19545, 593, 513, 5985, 3926, 630, 7483, 610, 16979, 264, 596, 3513, 991, 547, 3888, 835, 540, 891, 1863, 8924, 912, 2414, 4647, 543, 1224, 713, 26496, 593, 513, 7193, 610, 5839, 912, 763, 17404, 814, 1305, 7182, 593, 875, 1454, 540, 713, 19545, 596, 949, 1820, 610, 5299, 269, 0, 18550, 476, 3066, 267, 476, 1708, 273, 454, 307, 16781, 532, 11762, 538, 20528, 3150, 3194, 454, 763, 1101, 10316, 4528, 540, 519, 20528, 5525, 3194, 10985, 814, 1175, 20386, 909, 267, 18799, 1312, 538, 32160, 543, 20716, 2066, 519, 1158, 269, 2311, 519, 2680, 267, 3173, 10356, 547, 1865, 20528, 3150, 12602, 543, 3605, 5499, 4485, 547, 1382, 538, 20528, 543, 3162, 20528, 563, 2171, 4076, 6394, 930, 540, 519, 1034, 26374, 543, 2502, 1382, 689, 519, 10554, 910, 689, 3504, 715, 889, 1014, 12738, 543, 2853, 267, 547, 2038, 1480, 9194, 267, 543, 811, 269, 13028, 513, 5542, 540, 10554, 19297, 2630, 543, 519, 3003, 1543, 5399, 593, 519, 20528, 5525, 2680, 2985, 563, 288, 1928, 538, 519, 8405, 281, 8177, 540, 2009, 2212, 15205, 593, 519, 17818, 12636, 540, 3504, 715, 889, 2103, 454, 15703, 2090, 723, 6743, 883, 519, 1646, 540, 30169, 543, 838, 1180, 2643, 2670, 538, 519, 17818, 12636, 267, 16046, 891, 2152, 547, 1114, 2188, 971, 607, 2085, 267, 8377, 267, 2732, 267, 8194, 267, 543, 2534, 610, 6197, 269, 1717, 267, 1906, 6915, 1105, 2801, 1670, 2090, 723, 1044, 5645, 856, 593, 519, 2489, 23979, 540, 519, 12636, 538, 3979, 5095, 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 ]
[ 0, 258, 1205, 519, 1297, 540, 536, 1342, 619, 538, 519, 25488, 1477, 321, 1342, 619, 815, 834, 29177, 6112, 536, 1342, 619, 2652, 834, 257, 6769, 825, 536, 1342, 619, 815, 3403, 2891, 1692, 1082, 536, 1342, 619, 281, 834, 3418, 825, 2119, 6769, 1038, 536, 1342, 619, 815, 703, 6357, 1342, 619, 3418, 1038, 952, 568, 27349, 6357, 1342, 619, 267, 703, 8029, 2018, 952, 536, 1342, 619, 10922, 476, 271, 6769, 3546, 1820, 2891, 2791, 1590, 723, 693, 2547, 476, 272, 536, 1342, 518, 1701, 3418, 3546, 536, 1342, 619, 815, 834, 29177, 2018, 3116, 6769, 3546, 1820, 6600, 257, 2467, 616, 2715, 321, 1342, 619, 348, 536, 1342, 619, 1701, 10142, 825, 4849, 6769, 1038, 1820, 2891, 2791, 1590, 1826, 513, 2898, 1297, 630, 272, 267, 476, 273, 267, 476, 274, 1862, 3092, 12175, 14744, 1038, 536, 1342, 619, 815, 834, 257, 5897, 258, 9218, 547, 1650, 519, 2418, 540, 536, 1342, 518, 11378, 1477, 333, 3518, 1342, 619, 815, 15079, 1477, 1721, 1775, 538, 2039, 263, 272, 267, 536, 1342, 619, 1341, 476, 272, 8029, 825, 1775, 815, 1193, 9217, 3418, 825, 15381, 1342, 619, 9131, 321, 1342, 518, 1412, 1341, 1775, 316, 815, 834, 29734, 1871, 257, 5897, 1721, 1775, 538, 2039, 263, 272, 267, 7003, 3799, 3518, 1342, 619, 264, 1341, 476, 272, 8029, 825, 1775, 815, 1193, 9217, 3418, 825, 1247, 711, 568, 27349, 3799, 3518, 1342, 619, 9131, 321, 1342, 518, 1412, 1341, 1775, 3910, 703, 8029, 1038, 15381, 1342, 619, 9131, 321, 1342, 518, 1412, 1341, 1775, 316, 815, 3403, 6600, 257, 6343, 568, 2715, 3488, 321, 1342, 518, 1412, 1341, 1775, 14587, 262, 338, 19915, 281, 834, 3418, 1038, 2119, 6769, 2018, 15381, 1342, 619, 9131, 321, 1342, 518, 1412, 1341, 1775, 316, 815, 703, 3799, 3518, 1342, 619, 9131, 321, 1342, 518, 1412, 1341, 1775, 29573, 1038, 4849, 6769, 2018, 1820, 6600, 257, 346, 3488, 321, 1342, 518, 1412, 1341, 1193, 17301, 9217, 264, 1341, 476, 272, 4297, 348, 1058, 581, 513, 1297, 1701, 10142, 258, 323, 9057, 710, 519, 5207, 536, 1342, 518, 1315, 2179, 6976, 1477, 327, 580, 4554, 289, 573, 815, 476, 271, 1477, 1721, 536, 1342, 518, 538, 15381, 1342, 619, 6769, 825, 15381, 1342, 619, 314, 321, 1342, 518, 316, 815, 703, 3799, 3518, 1342, 619, 314, 321, 1342, 518, 29573, 825, 952, 15381, 1342, 619, 314, 321, 1342, 518, 316, 3436, 5207, 289, 573, 6769, 1038, 5207, 289, 573, 815, 15381, 1342, 619, 314, 321, 1342, 518, 15947, 1038, 16771, 815, 536, 1342, 518, 5897, 2745, 6600, 257, 346, 7773, 1676, 348, 568, 938, 16771, 267, 543, 6035, 2715, 327, 580, 4554, 289, 573, 348, 10590, 3418, 0, 258, 4179, 2517, 326, 603, 889, 2593, 14672, 23439, 22201, 7933, 520, 8135, 454, 258, 570, 29081, 281, 6004, 269, 962, 729, 4535, 593, 4728, 476, 2537, 267, 476, 5002, 271, 543, 5747, 593, 4728, 476, 1240, 267, 476, 2735, 271, 269, 476, 1215, 1082, 2034, 320, 1705, 646, 4734, 888, 5814, 30220, 454, 5814, 942, 692, 12163, 396, 506, 9924, 15800, 13194, 7846, 10948, 4138, 9261, 11012, 6459, 29391, 7846, 19628, 27569, 4138, 3264, 17095, 20977, 4736, 4736, 9924, 20413, 19757, 7846, 31124, 1384, 323, 520, 8135, 6155, 622, 454, 323, 520, 8135, 6745, 574, 539, 12265, 454, 323, 520, 8135, 6155, 520, 8135, 454, 20701, 2017, 12774, 815, 30220, 6155, 622, 263, 1001, 280, 267, 476, 1556, 267, 476, 3066, 994, 2745, 263, 2017, 12774, 994, 2745, 3488, 1366, 734, 5073, 2745, 263, 2017, 12774, 13885, 792, 994, 2745, 263, 2017, 12774, 269, 24629, 994, 2745, 263, 2017, 12774, 269, 1485, 994, 2745, 263, 2017, 12774, 994, 2745, 3488, 1366, 734, 5073, 2745, 263, 2017, 12774, 14857, 25269, 1029, 994, 2745, 6600, 31415, 3736, 281, 346, 323, 520, 8135, 6155, 622, 6745, 3736, 3890, 348, 5073, 320, 815, 30220, 6155, 520, 8135, 6745, 3736, 14061, 1598, 1111, 830, 2891, 260, 312, 260, 332, 260, 323, 5602, 2745, 6600, 262, 396, 351, 3264, 7549, 7846, 27569, 4138, 19628, 18194, 19277, 7846, 11714, 11012, 4344, 4814, 30718, 7846, 281, 2715, 320, 348, 5073, 339, 3736, 815, 30220, 6155, 520, 8135, 6745, 3736, 4590, 2745, 6025, 3736, 269, 1598, 1111, 830, 2891, 260, 312, 268, 260, 332, 268, 260, 323, 268, 260, 295, 269, 260, 300, 269, 260, 306, 27363, 2745, 263, 5503, 269, 551, 830, 263, 275, 1704, 274, 269, 6872, 272, 4917, 2745, 263, 5503, 269, 551, 830, 263, 29580, 1428, 11723, 320, 815, 942, 269, 1598, 1111, 830, 2891, 260, 312, 268, 260, 332, 268, 260, 323, 268, 260, 295, 269, 260, 300, 269, 260, 306, 2580, 942, 7456, 665, 5306, 830, 15405, 2745, 5416, 264, 476, 1948, 1412, 1001, 278, 268, 6860, 268, 4962, 268, 876, 269, 1556, 269, 736, 28847, 9799, 815, 30220, 6155, 520, 8135, 263, 5002, 271, 267, 476, 274, 267, 476, 2537, 994, 323, 1221, 815, 30220, 6155, 520, 8135, 263, 2735, 271, 267, 476, 274, 267, 476, 1240, 994, 23169, 815, 5747, 910, 4535, 454, 2745, 5560, 12265, 6745, 4973, 26000, 6948, 31156, 0, 12163, 12877, 18524, 3490, 10959, 585, 6679, 513, 6885, 692, 12726, 5124, 270, 13695, 18524, 15789, 454, 3244, 12121, 5441, 8950, 3163, 454, 5291, 2517, 32491, 2117, 611, 1122, 1868, 2593, 13045, 5291, 2517, 13678, 12121, 12975, 270, 26367, 1606, 7220, 270, 692, 19247, 3381, 281, 5291, 2517, 344, 719, 340, 269, 2041, 23218, 305, 289, 318, 7176, 274, 330, 9331, 322, 454, 20701, 5814, 27368, 454, 5814, 4351, 454, 258, 16294, 930, 4778, 454, 13993, 19272, 815, 630, 271, 267, 476, 271, 267, 476, 271, 994, 20062, 25492, 815, 630, 14838, 267, 476, 14838, 267, 476, 14838, 994, 294, 3918, 312, 815, 630, 14096, 267, 476, 14096, 267, 476, 14096, 994, 305, 3633, 815, 630, 14838, 267, 476, 271, 267, 476, 271, 994, 294, 3918, 2894, 815, 630, 271, 267, 476, 14838, 267, 476, 271, 994, 13993, 16604, 815, 630, 271, 267, 476, 271, 267, 476, 14838, 994, 312, 21822, 8582, 815, 630, 14838, 267, 476, 14838, 267, 476, 271, 994, 290, 312, 3198, 815, 630, 271, 267, 476, 14838, 267, 476, 14838, 994, 7246, 294, 7728, 288, 815, 630, 14838, 267, 476, 271, 267, 476, 14838, 2020, 258, 3355, 1125, 519, 27368, 1362, 454, 6853, 18524, 269, 8181, 10797, 258, 5590, 519, 8700, 543, 4463, 540, 519, 5496, 1496, 12296, 267, 4463, 2639, 17092, 3918, 2894, 318, 310, 2839, 8025, 815, 476, 8517, 454, 17092, 3918, 2894, 318, 4047, 20846, 815, 476, 7785, 454, 31653, 815, 27368, 269, 5891, 15630, 8548, 1712, 9230, 17092, 3918, 2894, 318, 310, 2839, 8025, 267, 14662, 3918, 2894, 318, 4047, 20846, 264, 9239, 258, 5590, 519, 2140, 540, 519, 6885, 454, 6853, 18524, 269, 5891, 15630, 6831, 320, 1632, 2891, 291, 665, 9928, 13273, 15419, 258, 31230, 2394, 519, 3593, 30390, 519, 2673, 7735, 563, 323, 821, 815, 8771, 692, 258, 13242, 547, 4383, 875, 3728, 519, 5496, 10311, 454, 22018, 815, 27368, 28333, 269, 5141, 1442, 10797, 5035, 17781, 10031, 28768, 22592, 6449, 8181, 1029, 630, 1345, 267, 2681, 267, 10856, 318, 6570, 267, 1535, 5334, 32497, 267, 586, 5334, 32497, 267, 8953, 2187, 453, 19677, 11859, 29223, 815, 10856, 318, 6570, 314, 271, 2639, 453, 19677, 13885, 29223, 815, 10856, 318, 6570, 314, 272, 2639, 453, 19677, 11859, 5334, 32497, 815, 1535, 5334, 32497, 454, 453, 19677, 13885, 5334, 32497, 815, 586, 5334, 32497, 454, 453, 19677, 269, 10233, 815, 2681, 454, 453, 19677, 269, 31709, 815, 8953, 454, 4848, 454, 22592, 2721, 4311, 2187, 453, 453, 6853, 18524, 6155, 3863, 6983, 22511, 4433, 10547, 267, 1582, 269, 10233, 267, 630, 1345, 11859, 29223, 267, 1582, 13885, 29223, 1070, 1582, 269, 31709, 994, 28768, 22592, 1847, 4311, 2187, 453, 453, 258, 1847, 5858, 676, 1535, 543, 586, 3432, 454, 453, 453, 258, 952, 5858, 10301, 6885, 6316, 267, 2490, 3432, 1472, 454, 28768, 453, 19677, 11859, 29223, 6834, 1582, 11859, 5334, 32497, 454, 453, 19677, 13885, 29223, 6834, 1582, 13885, 5334, 32497, 454, 4848, 454, 453, 14851, 1582, 11859, 29223, 3436, 14662, 3918, 2894, 318, 310, 2839, 8025, 610, 1582, 11859, 29223, 2999, 476, 271, 912, 4848, 19677, 11859, 5334, 32497, 2608, 284, 910, 272, 454, 453, 14851, 1582, 13885, 29223, 3436, 14662, 3918, 2894, 318, 4047, 20846, 610, 1582, 13885, 29223, 2999, 476, 271, 912, 4848, 19677, 13885, 5334, 32497, 2608, 284, 910, 272, 692, 15132, 548, 8217, 815, 11713, 4848, 454, 258, 28612, 6301, 5358, 31230, 28612, 734, 8894, 6112, 711, 2944, 1384, 453, 258, 26905, 6301, 2680, 8520, 454, 22610, 2680, 538, 27368, 4318, 1203, 10947, 10031, 453, 14851, 2680, 269, 6943, 2652, 27368, 269, 12702, 3951, 912, 4848, 453, 323, 821, 815, 6936, 692, 453, 258, 26905, 10794, 7954, 1058, 979, 1934, 454, 453, 332, 1787, 29223, 815, 27368, 6230, 1787, 10947, 29223, 4590, 453, 692, 14851, 27368, 6230, 1787, 10947, 7272, 5962, 3890, 314, 271, 14158, 453, 13537, 2891, 2080, 32405, 4848, 454, 453, 453, 258, 2681, 267, 10856, 2990, 267, 4351, 1535, 3432, 267, 4351, 586, 3432, 267, 8953, 454, 453, 453, 3240, 6831, 22511, 815, 17781, 18154, 312, 3198, 267, 10856, 29223, 267, 4351, 27110, 8987, 1015, 267, 476, 1015, 1070, 4351, 27110, 8987, 1015, 267, 476, 1015, 1070, 476, 736, 994, 453, 453, 15132, 548, 8217, 6910, 30044, 6831, 22511, 994, 28768, 453, 453, 258, 4351, 27110, 263, 271, 267, 476, 14838, 1070, 3097, 453, 453, 258, 4351, 27110, 263, 736, 267, 476, 3199, 2020, 453, 258, 26905, 24897, 268, 2193, 2130, 3009, 4422, 1934, 692, 453, 258, 3371, 267, 649, 2312, 519, 5496, 547, 3043, 269, 5213, 1405, 2322, 824, 5373, 12981, 454, 453, 258, 1657, 713, 267, 610, 789, 786, 581, 2144, 1078, 609, 713, 4971, 780, 453, 258, 1403, 596, 1616, 513, 4282, 3239, 267, 5372, 713, 2312, 609, 1025, 527, 262, 532, 519, 454, 453, 258, 4282, 3239, 780, 453, 258, 26905, 14301, 3009, 1058, 979, 1934, 454, 28768, 453, 31653, 8807, 650, 263, 20062, 25492, 994, 28768, 22610, 1775, 538, 5858, 8217, 912, 453, 453, 328, 6155, 3863, 4590, 453, 453, 328, 6230, 913, 10797, 692, 453, 258, 26905, 3619, 6619, 543, 9337, 519, 5496, 609, 1018, 649, 4312, 6537, 563, 453, 6853, 18524, 269, 5891, 269, 4148, 760, 10797, 453, 258, 26905, 23423, 547, 476, 2568, 14604, 829, 2034, 454, 453, 22018, 6745, 1157, 263, 2568, 2020, 258, 19171, 519, 6885, 543, 16718, 563, 6853, 18524, 269, 10181, 4590, 1410, 527, 3890, 1948, 10261, 539, 950, 1210, 9517, 4041, 454, 0, 258, 476, 275, 269, 1724, 269, 274, 281, 13983, 564, 902, 454, 258, 1230, 24335, 454, 258, 273, 269, 276, 269, 866, 692, 4067, 815, 3403, 2891, 1432, 568, 707, 2012, 281, 476, 834, 2020, 3698, 28551, 10031, 825, 1820, 9497, 17098, 972, 834, 1341, 2012, 1341, 834, 32405, 825, 1820, 2891, 301, 823, 547, 2743, 596, 15419, 26572, 7566, 30800, 258, 275, 269, 1724, 269, 275, 281, 12793, 543, 25159, 454, 258, 1230, 24335, 454, 258, 273, 269, 1556, 269, 866, 692, 343, 815, 476, 1015, 692, 3698, 1820, 5334, 15036, 10031, 825, 1535, 815, 476, 274, 454, 825, 1820, 28361, 337, 14826, 3299, 1535, 2020, 2745, 28361, 337, 14826, 3299, 1535, 994, 2745, 5334, 15036, 10797, 19638, 258, 476, 275, 269, 1724, 269, 277, 281, 12793, 543, 4756, 267, 3487, 476, 274, 454, 258, 1230, 24335, 454, 258, 273, 269, 1240, 269, 866, 692, 3698, 1820, 20311, 3287, 2187, 13537, 28361, 333, 3299, 1535, 2020, 2745, 20311, 263, 1724, 994, 2745, 20311, 263, 2537, 9239, 258, 476, 275, 269, 1691, 269, 275, 281, 8745, 543, 6520, 454, 258, 1230, 24335, 454, 258, 476, 273, 269, 1240, 269, 866, 692, 3698, 2012, 318, 663, 318, 720, 28442, 267, 2085, 2187, 13537, 3488, 17098, 267, 1250, 2012, 568, 3299, 2012, 267, 1412, 663, 1775, 993, 3299, 2085, 267, 1412, 344, 8986, 2025, 256, 17210, 4067, 318, 663, 318, 720, 3488, 300, 833, 3299, 476, 3451, 994, 4067, 318, 663, 318, 720, 3488, 313, 2033, 3299, 476, 1240, 2020, 258, 476, 275, 269, 1691, 269, 276, 281, 4347, 5435, 20368, 2678, 18880, 454, 258, 1230, 24335, 454, 258, 476, 273, 269, 866, 269, 866, 692, 3698, 1820, 4671, 6851, 5332, 13246, 3287, 267, 586, 815, 476, 736, 2187, 13537, 3488, 5575, 1297, 281, 22207, 1535, 994, 13537, 3488, 13553, 1297, 281, 1412, 1341, 1193, 12169, 264, 9239, 2745, 4671, 6851, 5332, 13246, 263, 4097, 267, 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 ]
[ 4651, 540, 15622, 8932, 12416, 264, 607, 513, 9184, 5055, 6345, 538, 519, 32316, 547, 1118, 513, 2370, 2724, 267, 543, 646, 1185, 930, 2866, 538, 519, 4730, 540, 519, 30413, 689, 606, 14222, 4095, 4168, 4116, 269, 9040, 320, 849, 15548, 538, 519, 7928, 19762, 560, 1537, 6105, 4371, 676, 513, 7986, 21917, 267, 13206, 340, 667, 18636, 267, 945, 729, 519, 7015, 540, 519, 1340, 539, 4210, 9564, 966, 633, 16988, 7701, 269, 13206, 340, 667, 18636, 1185, 6594, 1312, 8109, 543, 5375, 2575, 543, 9738, 606, 32316, 585, 799, 646, 7768, 538, 986, 8615, 543, 5657, 320, 5943, 282, 646, 1031, 782, 519, 5375, 7405, 607, 1134, 607, 513, 1906, 4095, 3283, 269, 901, 2663, 6273, 9040, 320, 547, 1711, 1010, 1378, 26254, 267, 519, 631, 2967, 9618, 17020, 267, 799, 729, 3833, 4583, 585, 1082, 1296, 563, 2005, 729, 1419, 31029, 1175, 547, 5873, 9040, 320, 2911, 827, 519, 23434, 646, 11124, 607, 513, 1762, 812, 538, 2836, 12827, 3279, 269, 634, 2370, 2628, 646, 4607, 693, 519, 10060, 634, 320, 268, 1726, 543, 17573, 3063, 4747, 646, 3893, 676, 4730, 513, 973, 1388, 1934, 610, 972, 782, 4682, 547, 2628, 585, 13344, 610, 2709, 268, 476, 902, 646, 4547, 547, 1010, 3610, 1922, 21209, 610, 26265, 2987, 14696, 585, 741, 4758, 1864, 4245, 269, 4107, 540, 519, 942, 646, 1185, 1010, 835, 7594, 513, 1554, 693, 930, 3045, 320, 669, 1002, 571, 267, 513, 1426, 7006, 839, 776, 3177, 585, 519, 4057, 676, 930, 3638, 3885, 269, 630, 29128, 1360, 5063, 267, 891, 11478, 538, 782, 519, 1804, 4872, 607, 513, 1455, 1106, 540, 17493, 4700, 634, 1964, 540, 519, 1554, 9040, 320, 2901, 4682, 17237, 610, 562, 756, 16940, 693, 513, 19625, 540, 7105, 17112, 543, 1743, 1678, 519, 1216, 540, 519, 5757, 717, 5190, 269, 1261, 1185, 1100, 835, 1880, 1747, 547, 3251, 269, 6884, 646, 3576, 513, 4055, 538, 513, 10464, 27756, 268, 2777, 267, 543, 824, 2053, 646, 18423, 538, 519, 7123, 540, 513, 14547, 1920, 563, 2691, 646, 729, 538, 1010, 1000, 550, 625, 267, 9040, 320, 4682, 547, 513, 2749, 1572, 631, 4157, 32002, 778, 320, 267, 1287, 538, 9456, 19377, 267, 1631, 538, 5101, 9031, 269, 898, 729, 1934, 267, 693, 519, 5480, 540, 14076, 320, 808, 698, 520, 918, 880, 648, 267, 602, 646, 4862, 519, 9976, 32646, 617, 6345, 540, 519, 942, 267, 772, 26684, 13259, 24703, 18498, 267, 543, 585, 519, 1101, 942, 267, 646, 4810, 519, 2407, 1198, 540, 519, 22459, 543, 519, 5898, 540, 519, 2575, 269, 769, 1010, 2090, 896, 715, 25222, 717, 29914, 267, 9040, 320, 1185, 5433, 646, 729, 16042, 519, 2361, 540, 7453, 8106, 2575, 267, 855, 950, 1010, 575, 15843, 5747, 267, 646, 2219, 646, 1185, 6603, 1152, 519, 12939, 540, 519, 7574, 25113, 269, 1261, 7691, 646, 2877, 1776, 1434, 4116, 547, 21592, 1864, 547, 513, 2362, 1377, 538, 1010, 4730, 543, 1620, 269, 1924, 267, 646, 4956, 1175, 1287, 267, 538, 519, 14076, 320, 781, 5480, 267, 602, 646, 1590, 1491, 713, 22459, 607, 1010, 575, 15843, 543, 1451, 547, 1404, 519, 32646, 617, 269, 9040, 320, 781, 8781, 7287, 547, 1451, 543, 513, 16252, 689, 519, 14076, 320, 829, 268, 647, 12184, 13259, 24703, 18498, 547, 3398, 519, 7911, 607, 1010, 1167, 2118, 269, 1879, 9040, 320, 3459, 1565, 689, 13259, 24703, 18498, 267, 646, 5795, 909, 782, 1010, 2025, 546, 850, 1777, 14397, 7574, 4690, 543, 13991, 5128, 9003, 547, 519, 32646, 617, 269, 634, 1985, 2185, 1296, 610, 865, 941, 6170, 2713, 543, 10707, 609, 1010, 579, 26684, 267, 7674, 1864, 538, 1169, 1259, 267, 1256, 5986, 267, 543, 1565, 543, 8026, 2575, 607, 1454, 607, 646, 1223, 563, 5475, 930, 942, 267, 13259, 24703, 18498, 2451, 519, 5480, 543, 14612, 547, 1010, 1753, 267, 519, 2749, 540, 681, 2086, 584, 267, 2921, 9040, 320, 609, 1864, 269, 1635, 713, 942, 267, 9040, 320, 1185, 4121, 513, 1390, 4308, 540, 519, 1148, 543, 4480, 540, 519, 32646, 617, 543, 1185, 705, 268, 22408, 5523, 1034, 540, 519, 1702, 540, 1010, 579, 26684, 269, 2368, 268, 875, 267, 646, 5433, 602, 13259, 24703, 18498, 729, 513, 3787, 31536, 633, 827, 9040, 320, 781, 15334, 543, 729, 12922, 602, 9040, 320, 1522, 856, 4777, 1864, 607, 513, 22459, 269, 2290, 1554, 267, 621, 5949, 602, 1010, 575, 15843, 1572, 9040, 320, 543, 1767, 602, 646, 1185, 2016, 1864, 2614, 9661, 655, 630, 10177, 1456, 264, 543, 26916, 1864, 585, 8236, 513, 5386, 3044, 540, 12372, 1222, 269, 3767, 267, 646, 1767, 267, 621, 568, 942, 585, 596, 547, 979, 856, 543, 1685, 267, 543, 3715, 707, 1378, 10639, 267, 1739, 519, 911, 10972, 268, 512, 542, 540, 521, 1731, 330, 3873, 267, 1019, 330, 330, 3873, 267, 543, 533, 926, 330, 330, 3873, 630, 1457, 643, 725, 689, 519, 3312, 16130, 540, 695, 328, 802, 3873, 267, 1019, 802, 3873, 267, 543, 533, 926, 802, 3873, 267, 799, 1611, 2866, 267, 22612, 267, 543, 2976, 320, 268, 512, 542, 1916, 7712, 681, 2086, 584, 729, 519, 1034, 1271, 10160, 540, 670, 514, 268, 7452, 8643, 8106, 2575, 267, 9040, 320, 729, 936, 2809, 539, 950, 646, 4121, 972, 941, 3592, 2947, 4627, 12372, 945, 20705, 547, 519, 5480, 540, 3571, 4400, 1145, 519, 715, 1177, 629, 540, 681, 2086, 584, 269, 4934, 540, 891, 267, 693, 2547, 15823, 19486, 1851, 519, 19466, 5159, 543, 941, 1340, 539, 2429, 3127, 269, 1358, 3769, 2206, 619, 540, 546, 327, 14442, 611, 267, 546, 5069, 541, 267, 737, 1506, 531, 267, 512, 28385, 267, 543, 555, 636, 686, 267, 607, 1134, 607, 5716, 540, 1044, 267, 1147, 338, 2590, 541, 267, 14739, 629, 267, 1147, 321, 1695, 541, 267, 1694, 541, 267, 32646, 30231, 267, 695, 23167, 2967, 267, 9184, 5055, 267, 533, 12112, 1177, 1690, 267, 543, 1082, 824, 7405, 269, 2311, 519, 2212, 540, 782, 891, 12372, 729, 519, 5963, 1390, 654, 1794, 597, 16679, 5128, 267, 513, 4759, 540, 519, 2142, 523, 22894, 575, 9618, 3570, 267, 543, 3976, 540, 519, 1920, 540, 18000, 7354, 269, 1261, 729, 519, 575, 15843, 540, 519, 715, 1177, 629, 543, 267, 538, 1010, 10160, 1985, 547, 519, 715, 1177, 629, 781, 17599, 267, 10150, 513, 2990, 602, 729, 2189, 693, 602, 942, 269, 2991, 2921, 4734, 540, 772, 26684, 13259, 24703, 18498, 267, 9040, 320, 4682, 593, 513, 2186, 540, 7574, 834, 6883, 324, 2437, 543, 646, 1558, 782, 519, 579, 560, 6758, 543, 6594, 513, 2370, 609, 513, 1390, 1082, 540, 873, 585, 513, 1032, 610, 865, 269, 1261, 729, 4625, 883, 343, 5344, 609, 519, 3235, 560, 6470, 540, 5870, 782, 891, 1390, 12372, 269, 2991, 9040, 320, 12306, 1524, 513, 3787, 267, 646, 4956, 646, 1590, 6368, 979, 547, 1451, 689, 519, 6574, 22459, 540, 873, 782, 267, 543, 519, 835, 827, 7247, 646, 1185, 4862, 865, 1082, 2984, 910, 654, 1794, 597, 16679, 563, 288, 717, 12239, 13543, 5442, 23370, 25807, 9569, 454, 308, 26684, 654, 1794, 597, 16679, 267, 513, 1463, 13956, 656, 540, 18000, 7354, 267, 729, 519, 6574, 2713, 1044, 6345, 540, 519, 942, 269, 674, 2683, 609, 15131, 543, 11164, 17331, 609, 4126, 267, 9040, 320, 4682, 1055, 547, 2743, 1864, 267, 855, 519, 2366, 1845, 945, 9856, 539, 772, 26684, 654, 1794, 597, 16679, 781, 19235, 267, 535, 20621, 693, 519, 1762, 812, 781, 695, 629, 2421, 10571, 543, 4057, 5920, 267, 17792, 1864, 13675, 269, 769, 21817, 267, 1762, 2353, 320, 3291, 514, 16679, 2864, 5283, 617, 1090, 5597, 4956, 602, 646, 1131, 2901, 1451, 689, 713, 1390, 4487, 610, 2285, 909, 1010, 1272, 269, 715, 712, 268, 568, 3107, 891, 4049, 4555, 267, 646, 11751, 1079, 547, 5055, 2597, 540, 1566, 1756, 609, 799, 547, 6146, 5128, 952, 683, 806, 268, 521, 776, 269, 1809, 22508, 2299, 267, 646, 1558, 513, 544, 31608, 630, 15404, 3916, 17308, 1070, 945, 4744, 340, 12184, 1864, 689, 971, 3665, 1687, 268, 579, 637, 543, 6700, 1776, 1544, 563, 763, 544, 31608, 7768, 513, 4484, 538, 21460, 593, 15773, 540, 519, 1762, 8321, 656, 267, 7713, 875, 646, 1185, 2097, 782, 519, 1259, 689, 19377, 2523, 547, 1451, 689, 772, 26684, 654, 1794, 597, 16679, 267, 543, 952, 602, 941, 547, 6961, 791, 657, 268, 521, 1043, 267, 646, 1131, 15179, 513, 26686, 540, 1566, 1756, 543, 1439, 1010, 1272, 269, 1809, 972, 7283, 519, 1966, 540, 1459, 268, 3824, 519, 4484, 547, 519, 715, 1177, 629, 269, 2755, 519, 6891, 540, 964, 268, 829, 566, 729, 20387, 267, 1762, 2353, 320, 3291, 514, 5949, 547, 5873, 602, 519, 715, 1177, 629, 1131, 4166, 581, 593, 1010, 1259, 547, 519, 14364, 267, 865, 646, 6728, 539, 5128, 593, 519, 4155, 267, 3108, 6619, 267, 543, 607, 519, 715, 1177, 629, 781, 6174, 6368, 3284, 268, 605, 3737, 267, 646, 28520, 5128, 1524, 538, 4395, 540, 621, 269, 634, 7128, 1951, 13949, 1762, 2353, 320, 3291, 514, 16679, 2476, 547, 3068, 519, 715, 1177, 629, 267, 945, 267, 950, 646, 4862, 519, 2898, 1650, 267, 729, 865, 24330, 676, 519, 535, 969, 528, 540, 513, 1762, 812, 4712, 547, 946, 971, 18205, 2409, 602, 646, 1572, 1864, 547, 519, 19289, 547, 1404, 585, 1864, 563, 289, 19487, 5795, 513, 1360, 11141, 2773, 593, 519, 32646, 617, 543, 593, 519, 30413, 267, 543, 1287, 729, 4280, 952, 646, 1223, 6023, 1022, 824, 7405, 269, 634, 715, 1177, 629, 729, 3833, 993, 4310, 950, 9040, 320, 267, 1065, 2391, 267, 1630, 16556, 602, 646, 1223, 1404, 1022, 6293, 2139, 538, 519, 19289, 269, 1924, 267, 782, 519, 7405, 941, 4547, 856, 543, 267, 547, 519, 22035, 7321, 540, 3025, 1459, 267, 646, 1705, 1175, 602, 910, 835, 676, 835, 267, 646, 5129, 873, 782, 267, 543, 3833, 632, 1111, 569, 267, 1932, 8206, 634, 715, 1177, 629, 4280, 1864, 952, 646, 1185, 1022, 824, 15421, 267, 543, 9040, 320, 1767, 602, 646, 1223, 2328, 4376, 5129, 610, 23475, 269, 634, 715, 1177, 629, 729, 16397, 950, 9040, 320, 1705, 713, 3362, 593, 519, 1101, 3801, 269, 634, 715, 1177, 629, 1287, 31025, 1864, 513, 1360, 2352, 13708, 752, 16009, 267, 513, 7294, 2377, 601, 268, 561, 7321, 538, 513, 8360, 269, 18641, 267, 1762, 2353, 320, 3291, 514, 1185, 9571, 602, 519, 715, 1177, 629, 729, 4742, 513, 2370, 20714, 539, 693, 519, 2219, 602, 971, 513, 1762, 812, 1522, 917, 811, 982, 646, 267, 543, 865, 646, 803, 2131, 569, 14452, 602, 971, 513, 16009, 1131, 581, 2352, 547, 2328, 1524, 269, 634, 715, 1177, 629, 729, 865, 20938, 693, 713, 602, 267, 538, 513, 1649, 5271, 565, 550, 7099, 267, 646, 2366, 585, 772, 26684, 654, 1794, 597, 16679, 543, 973, 558, 268, 544, 2105, 1762, 2353, 320, 3291, 514, 547, 1864, 607, 513, 964, 6326, 588, 340, 268, 7202, 269, 634, 715, 1177, 629, 5128, 1572, 585, 513, 1804, 8988, 26745, 2407, 540, 4154, 19988, 338, 267, 26265, 267, 1570, 585, 1007, 7802, 267, 513, 8258, 267, 543, 1007, 10887, 269, 2353, 891, 941, 2016, 547, 654, 1794, 597, 16679, 593, 15773, 540, 519, 1167, 2118, 267, 543, 519, 11006, 16008, 1063, 654, 1794, 597, 16679, 607, 575, 15843, 543, 2353, 320, 3291, 514, 16679, 607, 695, 880, 5984, 3576, 1747, 593, 519, 5544, 563, 2026, 9040, 320, 814, 1767, 267, 689, 519, 942, 646, 6410, 547, 2836, 268, 2759, 3279, 2394, 646, 3357, 547, 681, 2086, 584, 267, 646, 1185, 28078, 609, 1010, 1920, 543, 1185, 10272, 741, 1753, 1896, 2053, 269, 3571, 1920, 267, 15691, 789, 1223, 2285, 1864, 513, 2601, 547, 3251, 609, 873, 267, 7142, 1864, 547, 1491, 513, 7385, 593, 835, 540, 1010, 11564, 267, 543, 2663, 267, 1185, 1864, 19533, 513, 3813, 268, 593, 323, 942, 269, 630, 15404, 32093, 949, 19533, 909, 547, 2185, 2053, 4700, 1809, 547, 741, 16897, 267, 9040, 320, 10443, 2476, 689, 1753, 593, 519, 1554, 1310, 1142, 7365, 16008, 269, 3571, 10178, 1738, 2648, 585, 2575, 2451, 1100, 4055, 585, 971, 1919, 607, 7365, 610, 513, 1920, 1287, 563, 1103, 1010, 1101, 1079, 543, 513, 3368, 1296, 607, 513, 1167, 2118, 540, 654, 1794, 597, 16679, 267, 9040, 320, 811, 610, 1447, 1185, 519, 11645, 540, 513, 22700, 543, 2144, 8681, 7911, 547, 1010, 575, 15843, 543, 729, 711, 2731, 1373, 6026, 2575, 676, 1864, 269, 9040 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 476, 4366, 277, 17765, 267, 972, 568, 606, 3507, 762, 8488, 1247, 519, 476, 274, 291, 4729, 2699, 3863, 338, 269, 2422, 540, 519, 4414, 3863, 4971, 6971, 519, 10171, 540, 606, 32246, 630, 663, 4061, 942, 342, 8463, 264, 4159, 2699, 3863, 9648, 269, 4414, 3863, 532, 540, 519, 476, 274, 291, 4729, 4159, 568, 849, 14320, 3432, 539, 909, 676, 4259, 519, 4222, 23684, 1657, 519, 1377, 540, 6846, 563, 763, 18780, 4971, 538, 519, 32001, 10624, 8638, 267, 538, 922, 1378, 6885, 630, 20983, 269, 476, 1724, 1070, 519, 3135, 267, 6753, 267, 7389, 267, 2053, 543, 15437, 540, 519, 26034, 538, 519, 1699, 4159, 6885, 269, 634, 1592, 666, 581, 1085, 9776, 952, 621, 568, 1932, 1804, 547, 3514, 883, 922, 6885, 269, 901, 1592, 540, 4408, 666, 581, 9102, 610, 23652, 547, 519, 8837, 476, 274, 269, 272, 17157, 4580, 585, 2250, 532, 883, 513, 3561, 269, 634, 1592, 540, 4408, 666, 581, 15044, 676, 1022, 540, 519, 7355, 2139, 998, 519, 23037, 15190, 571, 4971, 269, 634, 1699, 2594, 2141, 5526, 538, 3109, 269, 634, 1699, 2594, 666, 581, 4957, 689, 1369, 519, 18780, 1592, 676, 14467, 519, 10856, 23684, 936, 621, 269, 901, 8850, 10311, 1022, 824, 4159, 563, 763, 3212, 6545, 4971, 593, 519, 32001, 10624, 21410, 519, 7158, 540, 19589, 540, 2534, 538, 519, 1699, 8552, 543, 8638, 873, 538, 513, 5094, 4159, 6885, 630, 20983, 269, 476, 1691, 1040, 8307, 19589, 693, 610, 1657, 519, 2699, 1467, 4222, 23684, 616, 7396, 269, 634, 1592, 666, 581, 15044, 538, 1931, 540, 4908, 610, 5365, 4222, 563, 2691, 519, 3212, 6545, 6885, 568, 1930, 267, 513, 7299, 3039, 23684, 1899, 568, 6537, 998, 782, 19589, 538, 519, 6301, 18224, 1657, 519, 4222, 23684, 4259, 269, 7102, 851, 540, 519, 3212, 6545, 1592, 666, 581, 9102, 610, 2250, 539, 547, 519, 17157, 4580, 585, 10014, 883, 513, 3561, 269, 29120, 19589, 666, 849, 581, 6569, 689, 519, 1592, 630, 28387, 9013, 8445, 8446, 538, 519, 1292, 4159, 1040, 8437, 532, 519, 10856, 593, 513, 7396, 8445, 786, 19268, 519, 4908, 23684, 538, 519, 6301, 18224, 269, 2311, 6398, 1015, 610, 6398, 2004, 343, 22271, 7112, 267, 519, 6301, 18224, 18589, 1127, 609, 519, 5697, 8445, 1298, 1042, 538, 519, 4159, 609, 519, 4908, 23684, 1305, 936, 519, 8445, 3611, 636, 1899, 269, 476, 273, 291, 4729, 543, 476, 274, 291, 4729, 10525, 616, 849, 8242, 9935, 563, 763, 23037, 676, 22039, 4971, 3123, 519, 19589, 540, 2534, 538, 519, 1699, 19706, 2594, 547, 581, 7396, 538, 4908, 1931, 269, 634, 23037, 676, 23848, 4971, 3123, 19589, 540, 19706, 2534, 538, 519, 1699, 19706, 2594, 547, 581, 7396, 538, 1931, 540, 3448, 4222, 630, 517, 519, 586, 14289, 22194, 4336, 540, 476, 271, 268, 14838, 1916, 763, 8564, 30078, 4971, 2636, 513, 3593, 547, 2824, 1022, 7396, 8445, 540, 2534, 543, 8850, 547, 4159, 621, 538, 519, 6301, 18224, 269, 2353, 540, 519, 2947, 13564, 10706, 10525, 616, 849, 8242, 269, 3689, 267, 519, 3593, 30390, 519, 10856, 23684, 936, 519, 5551, 8445, 4908, 538, 519, 3212, 6545, 5903, 269, 901, 786, 5031, 519, 5551, 4908, 269, 3973, 519, 3593, 5595, 30390, 936, 519, 5551, 4908, 269, 634, 1292, 4159, 14678, 32290, 547, 1397, 519, 5697, 8445, 5951, 845, 630, 1417, 1042, 538, 519, 4159, 693, 6398, 1015, 610, 6398, 2004, 586, 14289, 24680, 1040, 901, 4183, 2636, 519, 3593, 3533, 547, 2708, 2436, 19589, 540, 513, 2147, 4222, 723, 513, 2147, 5951, 845, 630, 328, 4318, 269, 789, 616, 4440, 3361, 676, 519, 1482, 23142, 2707, 1040, 634, 17102, 949, 581, 2417, 9862, 547, 3406, 8850, 585, 19589, 540, 513, 1880, 2450, 543, 5924, 3337, 563, 763, 30078, 4971, 2636, 513, 3593, 547, 1305, 267, 585, 519, 1699, 2594, 267, 519, 2450, 540, 19706, 2534, 693, 610, 1657, 799, 513, 8445, 568, 5462, 267, 6825, 543, 7396, 269, 634, 5690, 8045, 547, 2697, 19589, 538, 519, 1459, 20032, 568, 607, 5205, 267, 4352, 824, 6620, 616, 11593, 10858, 269, 3689, 267, 519, 2699, 1467, 23848, 595, 2720, 528, 538, 519, 6301, 18224, 6885, 568, 1305, 693, 519, 1871, 693, 610, 1657, 799, 782, 2534, 538, 519, 1699, 2594, 1058, 581, 6592, 538, 519, 3212, 6545, 1592, 269, 5822, 267, 513, 1871, 568, 1305, 585, 519, 1297, 540, 2798, 593, 519, 586, 14289, 630, 560, 31104, 264, 676, 799, 2534, 1590, 1101, 6175, 543, 4473, 1586, 1354, 513, 2034, 8445, 540, 2534, 666, 581, 6592, 563, 21413, 713, 1271, 30078, 12025, 4259, 267, 1169, 15654, 1239, 1448, 593, 519, 1535, 14289, 609, 513, 4222, 2542, 1657, 519, 23848, 595, 2720, 528, 4259, 1131, 1224, 607, 606, 1367, 8445, 267, 1818, 782, 6786, 609, 513, 19961, 540, 811, 982, 476, 272, 918, 13703, 630, 306, 4754, 6674, 264, 610, 476, 273, 269, 276, 918, 13703, 630, 305, 9734, 264, 2408, 607, 2789, 19589, 269, 634, 9949, 4259, 585, 8445, 2450, 568, 476, 736, 4222, 4559, 269, 901, 1568, 1134, 609, 519, 681, 9734, 476, 273, 266, 17513, 269, 1403, 513, 2480, 534, 6674, 10566, 300, 17513, 568, 1373, 1031, 267, 713, 1871, 1058, 581, 19268, 547, 476, 1015, 610, 1256, 476, 276, 267, 10452, 519, 4824, 5365, 4214, 3489, 762, 609, 602, 17513, 563, 763, 11872, 4183, 630, 2254, 11609, 264, 2636, 513, 1257, 4063, 547, 581, 2813, 543, 7923, 547, 519, 3617, 2594, 269, 589, 4063, 949, 1152, 581, 1500, 593, 519, 1699, 2594, 269, 589, 6003, 4758, 3877, 540, 519, 1699, 2594, 568, 3254, 593, 519, 1283, 2985, 540, 519, 711, 788, 611, 269, 901, 6003, 2242, 607, 519, 1699, 2594, 568, 4957, 267, 4758, 519, 1198, 540, 513, 21641, 602, 568, 2141, 1930, 693, 519, 1318, 2985, 269, 11872, 616, 10710, 8850, 607, 851, 540, 741, 9757, 19706, 2594, 6119, 563, 8794, 519, 20509, 5590, 1575, 267, 16440, 5590, 1575, 543, 1546, 8541, 5590, 1575, 12981, 513, 3593, 949, 4020, 513, 3818, 1790, 2033, 4159, 540, 1022, 4999, 540, 519, 3670, 1344, 9486, 3177, 676, 519, 7193, 563, 1607, 3818, 1790, 2033, 5590, 1575, 666, 581, 10710, 543, 882, 1933, 539, 1210, 14764, 6119, 630, 21327, 538, 16658, 269, 476, 273, 264, 593, 1022, 2104, 8317, 563, 763, 6301, 4971, 568, 2139, 950, 538, 513, 13564, 10706, 4159, 6885, 543, 922, 946, 7024, 519, 3593, 547, 519, 6301, 18224, 6885, 563, 763, 18058, 10624, 543, 6435, 10624, 786, 711, 581, 4330, 538, 1022, 2417, 1469, 267, 585, 519, 19160, 540, 1786, 6143, 269, 13129, 666, 581, 1500, 547, 519, 31762, 828, 639, 476, 273, 4528, 476, 272, 269, 275, 14871, 15015, 267, 2139, 689, 4432, 24499, 13693, 3599, 543, 5741, 5004, 267, 18161, 13340, 476, 4510, 273, 267, 1656, 1478, 267, 24900, 772, 14389, 1421, 519, 9115, 540, 799, 616, 11368, 23954, 676, 4704, 563, 2304, 1383, 8400, 540, 1210, 519, 17102, 786, 1631, 581, 4330, 267, 1210, 1483, 4159, 1806, 3254, 538, 16658, 306, 269, 476, 274, 547, 476, 2641, 269, 634, 4282, 16674, 2534, 6592, 568, 602, 1336, 593, 513, 3135, 538, 519, 3162, 540, 4789, 269, 634, 966, 295, 293, 17079, 1031, 568, 540, 1434, 2298, 267, 1373, 12627, 6417, 269, 634, 17079, 729, 3977, 1154, 5111, 476, 274, 544, 310, 543, 729, 538, 5106, 5111, 476, 274, 269, 271, 544, 689, 519, 17513, 950, 11571, 729, 1500, 269, 634, 19215, 1031, 593, 519, 17513, 729, 519, 3044, 1507, 627, 760, 19215, 13859, 676, 519, 10672, 543, 7923, 2047, 547, 519, 1795, 807, 540, 519, 17513, 269, 634, 5638, 941, 1500, 1210, 13096, 784, 681, 9734, 476, 273, 266, 17513, 269, 19475, 1500, 609, 835, 1826, 540, 17513, 616, 711, 15095, 609, 5638, 1500, 609, 1776, 269, 5637, 519, 2489, 5920, 543, 267, 547, 930, 6708, 267, 519, 1543, 540, 519, 1114, 2010, 540, 5638, 786, 4268, 563, 30131, 3604, 1063, 519, 5106, 540, 519, 2256, 1392, 543, 519, 5920, 540, 19706, 5638, 1500, 689, 741, 3977, 616, 607, 5205, 269, 634, 10748, 3999, 601, 2480, 534, 6674, 10566, 300, 17513, 3351, 2478, 3059, 2029, 543, 568, 4908, 13754, 2213, 269, 19475, 1500, 689, 922, 3977, 1397, 2347, 6617, 267, 3850, 15244, 540, 513, 17079, 781, 2534, 547, 2387, 6674, 319, 9985, 883, 1142, 824, 269, 769, 519, 16592, 25400, 4159, 799, 6227, 476, 4200, 269, 276, 260, 540, 519, 2698, 19706, 3795, 267, 519, 2480, 534, 6674, 2488, 1079, 543, 513, 3368, 2053, 607, 1454, 1239, 607, 519, 681, 9734, 476, 273, 266, 1031, 538, 519, 1383, 8400, 269, 901, 8309, 547, 519, 2298, 540, 4159, 2009, 689, 922, 1239, 269, 1717, 267, 609, 519, 13096, 784, 681, 9734, 476, 273, 266, 17513, 267, 1142, 2347, 19706, 2594, 568, 1500, 538, 1447, 982, 476, 279, 260, 540, 519, 942, 621, 3217, 547, 1118, 513, 2594, 609, 513, 2480, 534, 6674, 10566, 300, 269, 5221, 972, 568, 1447, 1239, 538, 1142, 16592, 25400, 2594, 267, 5638, 1500, 609, 681, 9734, 476, 273, 266, 6023, 543, 1184, 5488, 982, 5638, 1500, 609, 2480, 534, 6674, 10566, 300, 1239, 563, 1103, 519, 1739, 1383, 8400, 519, 3593, 568, 693, 513, 3135, 13798, 523, 3139, 570, 12239, 267, 543, 16858, 547, 2638, 2436, 610, 711, 1614, 11623, 616, 1373, 1207, 13949, 563, 4263, 513, 6378, 2990, 538, 1142, 4055, 267, 519, 3593, 18271, 519, 23191, 17655, 17513, 476, 1240, 547, 1118, 1614, 5638, 540, 16674, 2534, 1318, 2066, 519, 8552, 269, 634, 17513, 25173, 1142, 1239, 1305, 630, 320, 2594, 264, 538, 1447, 982, 1614, 3764, 269, 898, 786, 1287, 1491, 827, 835, 8792, 811, 547, 4483, 1142, 2594, 10859, 22052, 558, 5597, 883, 519, 7193, 476, 1015, 267, 1519, 2978, 2454, 621, 269, 634, 7193, 786, 3758, 1142, 1239, 2594, 2476, 1141, 621, 666, 3362, 1265, 621, 1586, 1510, 11346, 4674, 269, 14190, 532, 942, 547, 1847, 1063, 519, 11623, 267, 519, 3593, 666, 2638, 782, 1614, 11623, 538, 827, 3368, 606, 5662, 563, 16352, 5833, 519, 5638, 267, 630, 560, 1819, 1631, 693, 476, 20969, 538, 16658, 269, 476, 273, 264, 519, 3593, 13333, 519, 7193, 607, 5205, 269, 769, 519, 6301, 454, 11514, 2452, 267, 7046, 568, 5697, 593, 519, 11711, 10624, 269, 589, 5188, 4216, 10741, 602, 2982, 513, 1592, 540, 782, 519, 4609, 4171, 1239, 6119, 616, 538, 519, 1699, 15682, 269, 634, 3593, 30390, 593, 835, 540, 519, 2594, 5036, 543, 1287, 30390, 593, 15528, 269, 589, 1007, 5188, 4216, 10741, 267, 6029, 513, 1592, 540, 782, 519, 16511, 725, 630, 7741, 264, 538, 519, 3135, 585, 799, 6119, 616, 4371, 269, 19715, 476, 1556, 1522, 581, 5697, 543, 519, 7389, 540, 782, 6119, 593, 19715, 476, 1556, 1131, 1287, 581, 10268, 269, 630, 21156, 267, 519, 2353, 7735, 568, 1031, 547, 2824, 782, 6753, 693, 2899, 8094, 5472, 6119, 941, 1500, 593, 519, 1482, 4266, 267, 855, 972, 1223, 581, 6119, 540, 1082, 1114, 7389, 543, 2053, 269, 1323, 2353, 7735, 568, 1031, 547, 2824, 782, 7389, 543, 2053, 269, 1323, 15528, 7735, 568, 1031, 547, 19334, 519, 5542, 282, 519, 5496, 1579, 1513, 543, 782, 519, 1239, 6119, 630, 328, 4318, 269, 19706, 5638, 264, 2253, 547, 4452, 269, 1306, 519, 6119, 4452, 267, 1079, 21370, 10525, 2408, 630, 20983, 269, 476, 274, 1040, 2201, 519, 2451, 2427, 540, 519, 5496, 568, 513, 10250, 476, 4968, 540, 16674, 2534, 689, 476, 271, 918, 13703, 547, 476, 1015, 631, 13703, 269, 2201, 519, 1318, 1688, 540, 519, 5496, 568, 513, 10250, 476, 23714, 585, 16674, 2534, 1063, 476, 1015, 631, 13703, 543, 476, 273, 269, 271, 717, 13703, 563, 2691, 519, 6119, 723, 8737, 15205, 15244, 585, 782, 5697, 5638, 616, 6772, 4660, 593, 519, 4159, 267, 530, 8811, 519, 1699, 2594, 630, 18431, 16041, 264, 538, 3109, 610, 12050, 269, 1773, 5217, 519, 24072, 630, 2254, 3254, 264, 693, 4351, 593, 519, 1318, 1688, 4159, 543, 14467, 786, 2014, 519, 4908, 23684, 547, 2408, 607, 513, 2699, 1899, 267, 1927, 609, 513, 1224, 719, 540, 519, 4908, 1141, 621, 12969, 338, 519, 1535, 7852, 540, 519, 4159, 563, 303, 7675, 519, 8525, 13560, 1883, 593, 519, 13691, 519, 13722, 8552, 4159, 786, 14897, 543, 519, 16592, 8552, 4159, 2699, 3863, 338, 267, 11423, 519, 5496, 607, 693, 16658, 269, 476, 275, 269, 1306, 1142, 10250, 6772, 904, 519, 824, 267, 519, 2489, 4806, 540, 2534, 568, 7368, 855, 972, 616, 5634, 2242, 269, 901, 568, 1317, 519, 946, 540, 519, 8552 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3499, 2889, 12378, 318, 14138, 815, 3768, 18249, 454, 7884, 1012, 9046, 476, 14056, 692, 20059, 580, 908, 519, 1297, 540, 2081, 540, 512, 4979, 513, 4737, 1210, 1114, 13355, 17981, 780, 11405, 1384, 3499, 2889, 12378, 318, 14056, 815, 3768, 18249, 454, 7884, 1012, 9046, 476, 14093, 692, 18698, 519, 1297, 540, 2081, 538, 799, 5036, 5627, 6305, 2609, 666, 581, 1500, 780, 11405, 1384, 3499, 2889, 12378, 318, 14093, 815, 3768, 18249, 454, 7884, 1012, 9046, 476, 15686, 692, 20059, 580, 908, 519, 2338, 799, 616, 3160, 547, 2040, 540, 741, 9704, 6659, 547, 930, 1379, 780, 11405, 1384, 3499, 2889, 12378, 318, 15686, 815, 3768, 18249, 454, 7884, 1012, 9046, 476, 6344, 692, 23804, 519, 5021, 14230, 950, 630, 320, 6567, 476, 272, 264, 333, 1341, 630, 320, 1341, 476, 272, 264, 333, 568, 5258, 676, 513, 273, 780, 11405, 1384, 3499, 2889, 12378, 318, 6344, 815, 3768, 18249, 454, 3499, 0, 258, 4208, 538, 930, 2042, 649, 5180, 909, 543, 538, 930, 2042, 649, 5180, 1524, 2496, 763, 1739, 729, 2854, 538, 519, 1433, 594, 993, 2542, 780, 22428, 596, 2461, 12180, 606, 856, 532, 585, 3230, 1911, 2330, 1004, 267, 543, 596, 2811, 10519, 532, 1295, 756, 4926, 602, 666, 3180, 3230, 1428, 2330, 1004, 1142, 269, 1215, 1082, 1295, 756, 4926, 798, 596, 991, 286, 26023, 596, 991, 547, 5173, 2330, 1911, 22773, 383, 371, 20867, 1428, 1422, 13627, 476, 277, 269, 278, 2330, 3719, 1287, 596, 723, 547, 1491, 519, 2796, 883, 2272, 281, 596, 666, 1406, 1433, 3230, 271, 269, 278, 2330, 540, 513, 1295, 756, 639, 267, 865, 596, 723, 547, 5180, 909, 547, 3230, 278, 2330, 1295, 756, 4926, 780, 3086, 2015, 513, 1114, 2796, 269, 1411, 1616, 547, 6494, 513, 3659, 930, 669, 4377, 919, 538, 519, 13875, 267, 543, 513, 1101, 11665, 16826, 568, 4570, 585, 909, 547, 3230, 1911, 2330, 575, 269, 634, 669, 4377, 919, 9260, 3230, 1428, 2330, 575, 1142, 267, 865, 875, 1082, 669, 4377, 919, 666, 596, 6494, 286, 1411, 1869, 991, 547, 1376, 609, 519, 1482, 9819, 2330, 1911, 22773, 383, 371, 20867, 1428, 1422, 13627, 476, 277, 269, 278, 2330, 3719, 713, 942, 519, 2796, 3947, 513, 1114, 2626, 281, 2094, 596, 666, 1406, 6494, 3230, 271, 269, 278, 2330, 540, 513, 10217, 267, 596, 3513, 991, 547, 5180, 1524, 547, 3230, 277, 2330, 669, 4377, 919, 780, 296, 666, 1405, 948, 855, 2631, 602, 972, 781, 513, 4514, 5817, 7613, 2469, 593, 1934, 269, 1924, 594, 723, 513, 1906, 2055, 780, 272, 269, 1548, 568, 2965, 519, 4514, 3364, 2469, 593, 1934, 888, 273, 269, 1548, 1522, 581, 930, 5751, 4502, 3206, 827, 630, 328, 4318, 269, 10010, 609, 264, 547, 1732, 9787, 1018, 568, 2965, 2469, 593, 1934, 267, 585, 2576, 945, 814, 12303, 4642, 6169, 1995, 538, 2979, 888, 1892, 1548, 707, 10839, 616, 10503, 568, 711, 24263, 269, 1411, 616, 10503, 6989, 543, 18109, 10342, 269, 681, 15929, 568, 4758, 519, 14282, 8870, 609, 568, 711, 1018, 596, 616, 6029, 538, 707, 10839, 269, 2659, 1101, 1383, 568, 18109, 267, 799, 568, 519, 14282, 8870, 602, 568, 3152, 982, 610, 3160, 547, 519, 1297, 269, 634, 2034, 1383, 568, 6989, 267, 799, 568, 519, 14282, 8870, 602, 568, 1447, 982, 610, 3160, 547, 519, 1297, 267, 849, 1634, 607, 959, 15635, 908, 563, 1700, 1109, 323, 331, 321, 454, 20225, 476, 279, 1412, 1704, 693, 476, 2537, 281, 1556, 454, 1892, 7711, 323, 331, 321, 281, 634, 2165, 834, 1037, 532, 257, 3884, 1405, 4481, 3908, 547, 834, 1037, 14282, 257, 4534, 621, 10039, 547, 782, 540, 891, 12204, 540, 4238, 267, 1519, 6989, 267, 18109, 267, 543, 1256, 824, 834, 1037, 532, 12331, 257, 899, 2509, 4642, 610, 547, 1118, 519, 2063, 7857, 1256, 563, 1700, 1109, 12528, 14983, 7761, 454, 20225, 476, 279, 1412, 1704, 693, 476, 2537, 281, 2764, 454, 1892, 7711, 323, 331, 321, 281, 5549, 1211, 958, 267, 834, 13700, 15635, 622, 257, 568, 2356, 1031, 585, 24263, 2509, 4642, 267, 799, 568, 1945, 1114, 689, 519, 6989, 1599, 799, 21448, 2509, 1269, 10559, 13727, 259, 630, 663, 547, 9981, 1040, 661, 3052, 269, 959, 15635, 908, 1269, 268, 274, 269, 276, 259, 547, 606, 8870, 3947, 1269, 268, 274, 8961, 855, 519, 6989, 540, 1269, 268, 274, 269, 276, 259, 568, 1269, 268, 275, 259, 563, 1700, 1109, 12528, 14983, 7761, 454, 20225, 476, 279, 1412, 1704, 693, 476, 2537, 281, 3066, 454, 1892, 4208, 666, 1405, 596, 6494, 476, 271, 269, 278, 540, 513, 10217, 286, 1358, 5749, 1405, 967, 643, 14548, 269, 9484, 476, 280, 1412, 1704, 693, 476, 1321, 281, 1556, 454, 1892, 1403, 596, 666, 1405, 1174, 513, 1880, 1966, 267, 3006, 621, 568, 5363, 547, 1589, 621, 1776, 1259, 269, 769, 519, 1101, 851, 267, 519, 3483, 568, 547, 1683, 3560, 585, 1269, 1911, 259, 1004, 269, 1924, 1058, 596, 1433, 1269, 277, 259, 610, 1269, 278, 259, 1295, 756, 4926, 286, 1403, 596, 941, 547, 1433, 1269, 277, 259, 1295, 756, 4926, 267, 596, 666, 1683, 3560, 547, 1269, 3445, 259, 1004, 2094, 972, 616, 1152, 1269, 3445, 259, 16295, 2139, 267, 799, 1797, 602, 1269, 1015, 259, 1004, 723, 547, 1265, 741, 1378, 1259, 540, 2469, 547, 519, 3135, 540, 856, 532, 269, 1403, 596, 941, 547, 1433, 1269, 278, 259, 1295, 756, 4926, 267, 596, 666, 3560, 782, 519, 1269, 1911, 259, 1004, 2094, 972, 616, 1269, 10755, 259, 16295, 2139, 269, 1924, 538, 1931, 547, 1683, 3560, 585, 1269, 1911, 259, 1004, 267, 1018, 798, 596, 3442, 286, 9484, 476, 1015, 1412, 1704, 693, 476, 2420, 281, 1691, 692, 1012, 476, 276, 12226, 692, 763, 1101, 1966, 596, 616, 3843, 547, 4194, 568, 692, 5353, 908, 4390, 6695, 28254, 2330, 1297, 540, 1004, 692, 663, 519, 2034, 1966, 596, 616, 3843, 547, 4194, 568, 692, 303, 871, 720, 2597, 6695, 19008, 2330, 2597, 3970, 692, 2252, 596, 2965, 5206, 856, 1018, 596, 941, 3257, 267, 596, 9364, 1265, 602, 950, 6061, 891, 2042, 267, 596, 616, 6038, 3541, 1516, 692, 10831, 540, 21772, 6695, 28254, 476, 277, 1341, 1422, 2765, 346, 273, 2410, 274, 15732, 10831, 540, 669, 4377, 919, 6695, 19008, 476, 277, 1341, 1422, 2765, 346, 273, 2410, 274, 15732, 7712, 1312, 540, 891, 2338, 616, 11658, 547, 581, 9981, 267, 891, 6528, 725, 616, 6697, 547, 692, 10831, 540, 21772, 6695, 28254, 476, 278, 9681, 10831, 540, 669, 4377, 919, 6695, 19008, 476, 277, 9681, 9616, 891, 616, 16526, 267, 711, 3160, 885, 256, 634, 3070, 547, 519, 669, 4377, 919, 1966, 568, 711, 834, 9767, 666, 6494, 476, 277, 669, 4377, 919, 2580, 855, 3079, 834, 9767, 666, 6494, 9170, 689, 476, 271, 547, 476, 277, 669, 4377, 919, 6231, 257, 277, 669, 4377, 919, 257, 568, 8806, 519, 3070, 547, 834, 6343, 568, 519, 4102, 1297, 540, 669, 4377, 919, 596, 666, 6494, 12482, 263, 1993, 1576, 267, 2067, 1893, 568, 1360, 791, 13440, 1047, 267, 543, 2693, 519, 1966, 5497, 547, 2307, 585, 519, 4102, 1297, 267, 5103, 711, 6031, 865, 2020, 2690, 519, 2482, 17367, 267, 594, 1131, 1589, 602, 519, 2796, 543, 1455, 2631, 4267, 22466, 538, 519, 1433, 616, 519, 14724, 7778, 585, 1946, 519, 24263, 568, 2556, 780, 3719, 689, 513, 5276, 5752, 5133, 267, 538, 519, 1101, 2013, 519, 1297, 540, 1295, 756, 4926, 2838, 267, 1269, 343, 8961, 666, 581, 1110, 8215, 607, 519, 3070, 547, 1269, 1428, 343, 1422, 613, 476, 1911, 259, 543, 1269, 343, 1422, 514, 1422, 13992, 346, 301, 23201, 1656, 538, 1249, 267, 952, 649, 1616, 547, 6922, 1047, 1942, 267, 649, 1616, 4399, 2381, 28381, 1535, 31046, 347, 20939, 476, 1428, 343, 1422, 613, 476, 1911, 1422, 1633, 1535, 1422, 514, 1422, 13992, 346, 301, 348, 1422, 348, 815, 476, 278, 16859, 763, 2034, 1966, 3340, 721, 547, 12366, 1047, 519, 1297, 540, 669, 4377, 919, 267, 1269, 343, 8961, 1141, 649, 723, 2147, 2338, 267, 855, 1114, 6663, 269, 634, 2626, 568, 4399, 10946, 28381, 343, 31046, 347, 20939, 476, 1428, 343, 1422, 548, 476, 1911, 1422, 1633, 1535, 1422, 514, 1422, 13992, 346, 301, 348, 1422, 348, 815, 476, 277, 16859, 3383, 519, 1079, 1883, 2798, 538, 519, 13004, 616, 2436, 519, 1871, 2115, 547, 581, 12366, 2213, 26553, 574, 2213, 267, 543, 799, 8635, 1129, 568, 2556, 269, 634, 1483, 1272, 7664, 540, 519, 1101, 851, 568, 602, 930, 2621, 616, 2942, 630, 324, 3052, 269, 1295, 756, 4926, 1942, 2724, 1070, 1247, 1866, 616, 2318, 630, 933, 1616, 547, 6494, 938, 3659, 607, 1454, 10217, 607, 649, 666, 1040, 1280, 519, 2034, 851, 267, 519, 3017, 6013, 538, 2436, 1373, 2922, 1797, 2469, 896, 610, 936, 269, 769, 519, 8545, 2013, 267, 834, 1575, 547, 257, 5693, 10522, 513, 3970, 267, 865, 649, 991, 4399, 548, 259, 547, 2057, 3423, 908, 519, 2022, 720, 3652, 267, 855, 538, 519, 5449, 3510, 267, 1004, 786, 1205, 2451, 3297, 8259, 476, 1911, 16295, 568, 513, 5934, 10421, 267, 865, 649, 1058, 946, 4399, 613, 259, 547, 2057, 711, 2348, 2614, 2230, 780, 296, 1131, 849, 1039, 602, 10912, 713, 834, 1037, 532, 257, 630, 2288, 594, 1589, 1034, 1004, 1131, 1289, 621, 602, 264, 568, 5594, 22801, 267, 607, 950, 594, 1589, 540, 24263, 594, 4952, 6898, 899, 1269, 277, 269, 27543, 866, 1422, 13627, 476, 277, 269, 27543, 8961, 1141, 8856, 568, 1373, 4503, 585, 1585, 4128, 971, 607, 13418, 269, 3371, 267, 972, 568, 1100, 4503, 1344, 281, 621, 568, 3274, 602, 1269, 277, 269, 26116, 1862, 259, 568, 711, 513, 1871, 602, 649, 666, 3398, 607, 621, 1281, 711, 14183, 519, 1269, 343, 1422, 514, 1422, 13992, 346, 301, 4151, 21205, 269, 594, 1131, 2161, 649, 616, 1210, 519, 6989, 543, 18109, 3252, 780, 763, 9273, 616, 1500, 547, 14183, 1978, 2175, 543, 547, 4194, 1978, 2042, 269, 634, 2175, 616, 519, 4514, 3364, 269, 769, 1312, 540, 707, 1806, 267, 519, 2175, 616, 16526, 630, 2254, 3160, 885, 6393, 1103, 519, 1101, 2013, 267, 834, 296, 991, 16295, 585, 693, 2547, 1269, 1911, 259, 1004, 3010, 1103, 519, 2034, 267, 834, 296, 786, 4444, 513, 16826, 585, 693, 1034, 1269, 1911, 259, 10101, 3010, 2171, 616, 711, 24263, 909, 610, 1524, 547, 7447, 7274, 855, 547, 4194, 519, 1966, 780, 2791, 1223, 2161, 891, 616, 11938, 2042, 538, 835, 8870, 4756, 269, 769, 519, 1101, 2013, 267, 596, 1616, 547, 7413, 1269, 333, 259, 630, 1492, 1297, 540, 21772, 264, 1641, 547, 519, 23061, 1269, 1428, 562, 1422, 613, 476, 1911, 10608, 769, 519, 2034, 267, 596, 1616, 547, 11694, 1269, 333, 259, 630, 1492, 1297, 540, 669, 4377, 919, 2366, 264, 1641, 547, 519, 23061, 1269, 1428, 562, 1422, 548, 476, 1911, 16859, 2026, 1866, 723, 5018, 267, 596, 2811, 7231, 609, 5276, 16526, 269, 13018, 267, 596, 2811, 5275, 606, 8870, 3070, 538, 1142, 25896, 269, 2334, 568, 267, 519, 2626, 1590, 581, 513, 2898, 1297, 269, 1703, 568, 1100, 24263, 602, 781, 9648, 267, 855, 2864, 267, 596, 616, 8939, 519, 6099, 8870, 3070, 689, 519, 1305, 540, 782, 2009, 1483, 3435, 780, 2791, 666, 1265, 811, 1644, 1570, 693, 16679, 9142, 267, 896, 10789, 594, 281, 21153, 8017, 269, 13018, 267, 713, 3381, 568, 2147, 547, 707, 5751, 267, 607, 616, 519, 3283, 1354, 543, 1310, 621, 538, 519, 3381, 5311, 780, 288, 2370, 811, 7184, 267, 952, 596, 8068, 267, 594, 1031, 519, 1913, 834, 9953, 2711, 8870, 3070, 257, 1657, 269, 5221, 596, 2811, 2731, 8939, 519, 5021, 630, 528, 5934, 264, 689, 930, 1305, 547, 1265, 519, 6099, 3070, 269, 780, 13706, 1287, 267, 602, 519, 1966, 596, 2811, 2324, 593, 666, 581, 9286, 607, 513, 2596, 1383, 540, 26659, 269, 5221, 596, 2811, 2324, 609, 9981, 267, 596, 666, 3277, 547, 621, 607, 2598, 4740, 26659, 269, 1411, 949, 849, 581, 5461, 538, 519, 2474, 12430, 14691, 630, 528, 26659, 264, 543, 6715, 518, 12430, 14691, 269, 8409, 4440, 7522, 1524, 593, 891, 2042, 1655, 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 ]
[ 1015, 260, 31903, 10865, 267, 1265, 519, 1459, 1871, 540, 3045, 8462, 563, 20809, 476, 1724, 267, 476, 1001, 271, 692, 4118, 454, 12898, 12964, 10865, 12074, 540, 8096, 6110, 693, 476, 1321, 260, 31903, 10865, 267, 1265, 519, 2179, 540, 606, 3045, 8462, 269, 5225, 948, 803, 281, 18692, 20809, 476, 1724, 267, 476, 1001, 271, 692, 1263, 454, 758, 599, 269, 9684, 596, 20444, 269, 590, 826, 2336, 18907, 476, 2767, 267, 476, 1001, 271, 692, 1263, 454, 4754, 4896, 2638, 1250, 8239, 5225, 286, 634, 1292, 2042, 28199, 5576, 8705, 7999, 1122, 3455, 1590, 1445, 593, 616, 519, 11776, 2152, 267, 2852, 24875, 3790, 543, 1164, 13864, 563, 18907, 476, 2767, 267, 476, 1001, 271, 692, 4118, 454, 6011, 786, 596, 4194, 891, 4834, 1210, 14290, 1535, 20742, 284, 272, 543, 476, 274, 343, 268, 273, 344, 284, 275, 270, 274, 454, 18907, 476, 2767, 267, 476, 1001, 271, 692, 1263, 563, 628, 1678, 596, 8627, 269, 729, 1175, 1818, 2386, 454, 18907, 476, 2918, 267, 476, 1001, 271, 692, 1263, 563, 529, 621, 4484, 524, 888, 18907, 476, 2918, 267, 476, 1001, 271, 692, 1263, 563, 7617, 540, 891, 6898, 568, 3020, 286, 513, 264, 11576, 800, 3877, 16297, 3988, 282, 4061, 267, 5830, 1058, 2057, 1210, 873, 269, 536, 264, 11576, 800, 3877, 1397, 3988, 602, 519, 5856, 568, 513, 6213, 1268, 269, 524, 264, 11576, 800, 1913, 1118, 1603, 2097, 9800, 1317, 649, 1174, 519, 1158, 998, 519, 2947, 4429, 18907, 476, 2918, 267, 476, 1001, 271, 692, 12626, 454, 7617, 540, 891, 6898, 568, 3020, 286, 513, 264, 11576, 800, 3877, 16297, 3988, 282, 4061, 267, 5830, 1058, 2057, 1210, 873, 269, 536, 264, 11576, 800, 3877, 1397, 3988, 602, 519, 5856, 568, 513, 6213, 1268, 269, 524, 264, 11576, 800, 1913, 1118, 1603, 2097, 9800, 1317, 649, 1174, 519, 1158, 998, 519, 2947, 4429, 18907, 476, 2918, 267, 476, 1001, 271, 692, 31580, 454, 343, 910, 586, 815, 476, 274, 454, 18907, 476, 1839, 267, 476, 1001, 271, 692, 1263, 1501, 454, 2129, 561, 565, 15502, 7064, 907, 4769, 1405, 1294, 707, 2022, 2433, 316, 1119, 8627, 623, 2529, 269, 586, 718, 616, 1360, 5363, 256, 2336, 18907, 476, 1839, 267, 476, 1001, 271, 692, 1263, 1501, 454, 1080, 519, 5885, 3877, 269, 568, 660, 621, 286, 4896, 888, 18907, 476, 1839, 267, 476, 1001, 271, 692, 1263, 1501, 454, 6343, 2501, 1985, 1310, 519, 1888, 4845, 888, 18907, 476, 1839, 267, 476, 1001, 271, 692, 935, 4740, 454, 628, 1678, 596, 15516, 2529, 826, 543, 3503, 12329, 8627, 630, 912, 18907, 476, 1839, 267, 476, 1001, 271, 692, 935, 4740, 454, 4754, 4896, 5581, 543, 2285, 803, 1806, 540, 834, 935, 4740, 3877, 257, 5225, 888, 18907, 476, 1839, 267, 476, 1001, 271, 692, 32417, 454, 1492, 2626, 568, 1547, 271, 269, 271, 6246, 280, 3199, 276, 865, 922, 1547, 271, 4510, 454, 18907, 476, 1839, 267, 476, 1001, 271, 692, 325, 8181, 655, 987, 454, 628, 3471, 513, 2929, 2336, 18907, 476, 2537, 267, 476, 1001, 271, 692, 325, 8181, 655, 987, 454, 320, 4558, 23619, 8732, 515, 9749, 585, 8096, 276, 269, 876, 829, 11013, 543, 30637, 585, 8096, 272, 269, 2004, 829, 11013, 269, 519, 9614, 16976, 547, 3575, 476, 1789, 6550, 540, 30637, 609, 930, 8732, 515, 9749, 543, 6133, 519, 7848, 585, 8096, 274, 269, 876, 829, 11013, 269, 875, 1082, 6550, 540, 8732, 515, 9749, 1058, 581, 6404, 609, 519, 30637, 865, 602, 519, 7848, 786, 3132, 4429, 18907, 476, 2537, 267, 476, 1001, 271, 692, 325, 842, 655, 987, 454, 2129, 2760, 332, 785, 907, 1775, 3893, 621, 269, 7064, 585, 4543, 803, 15516, 269, 590, 826, 630, 912, 18907, 476, 2537, 267, 476, 1001, 271, 692, 325, 842, 655, 987, 454, 6343, 5949, 547, 476, 273, 299, 286, 20994, 585, 1250, 31945, 2243, 563, 18907, 476, 2537, 267, 476, 1001, 271, 692, 325, 842, 655, 987, 454, 328, 917, 476, 3445, 568, 519, 15943, 855, 1141, 1705, 519, 476, 275, 310, 1341, 476, 273, 310, 2097, 689, 888, 18907, 476, 2537, 267, 476, 1001, 271, 692, 325, 842, 655, 987, 454, 323, 574, 3290, 540, 513, 6989, 282, 519, 15943, 540, 513, 14328, 6989, 568, 476, 3445, 1111, 269, 1265, 519, 7516, 540, 519, 6989, 952, 519, 3259, 568, 7466, 519, 8700, 454, 18907, 476, 2537, 267, 476, 1001, 271, 692, 560, 1846, 281, 22772, 519, 1611, 454, 921, 848, 948, 256, 1775, 917, 4010, 875, 547, 1265, 519, 1611, 855, 1775, 993, 2348, 513, 1966, 4466, 519, 4571, 9557, 269, 7948, 1405, 1205, 873, 1318, 2433, 263, 14057, 5520, 476, 276, 267, 9826, 268, 476, 1015, 267, 1822, 2652, 476, 1626, 476, 1015, 267, 9826, 268, 1428, 267, 1822, 2652, 476, 1428, 476, 5611, 4905, 268, 736, 267, 1822, 2652, 476, 1556, 476, 736, 267, 9826, 268, 1839, 267, 1822, 2652, 476, 1428, 476, 1839, 267, 9826, 268, 1789, 267, 1822, 2652, 476, 2537, 454, 9802, 476, 1428, 267, 476, 1001, 271, 692, 272, 269, 9664, 912, 273, 269, 476, 272, 454, 274, 269, 476, 273, 454, 275, 269, 8921, 9563, 0, 15507, 513, 1297, 454, 28906, 272, 815, 476, 274, 4281, 274, 454, 26015, 11847, 19948, 454, 16535, 6200, 9340, 9340, 9340, 454, 25313, 23713, 1708, 454, 275, 2537, 18357, 274, 454, 276, 4510, 25240, 454, 25118, 12893, 454, 278, 1556, 277, 3393, 454, 24934, 276, 6507, 278, 454, 280, 6078, 11025, 454, 9818, 5881, 272, 454, 12208, 31079, 454, 13199, 11152, 321, 454, 14530, 276, 2537, 454, 15221, 4198, 454, 1428, 323, 280, 321, 454, 28411, 321, 742, 692, 28906, 272, 814, 476, 275, 16975, 630, 5408, 2630, 1070, 4171, 2040, 568, 21566, 815, 476, 29204, 273, 269, 4706, 9103, 1304, 568, 26420, 815, 476, 27768, 273, 780, 763, 3105, 6305, 568, 476, 27420, 278, 269, 634, 1985, 6305, 568, 476, 28906, 280, 269, 634, 30729, 540, 476, 28906, 272, 568, 476, 10204, 274, 780, 2005, 568, 513, 5033, 760, 31870, 1317, 621, 568, 519, 1587, 540, 1079, 22136, 267, 543, 849, 513, 13085, 1297, 267, 1317, 519, 1079, 22136, 723, 519, 1482, 3259, 267, 543, 849, 606, 900, 597, 335, 1307, 267, 2094, 922, 9258, 568, 513, 3982, 5033, 760, 31870, 281, 476, 10204, 274, 815, 476, 14530, 4029, 780, 2005, 568, 513, 28023, 1297, 780, 2005, 568, 711, 513, 632, 2717, 793, 659, 1297, 267, 1317, 476, 28906, 272, 910, 476, 2420, 815, 476, 27420, 278, 568, 513, 6305, 780, 2005, 568, 513, 667, 4428, 15687, 1297, 780, 2005, 568, 513, 10750, 323, 4435, 538, 3490, 476, 275, 267, 3490, 476, 279, 543, 3490, 476, 1626, 780, 2005, 568, 513, 21412, 1297, 780, 2005, 568, 711, 606, 796, 18905, 762, 1297, 267, 1317, 621, 666, 581, 4957, 883, 513, 6305, 630, 28906, 280, 264, 676, 4657, 513, 7857, 780, 2005, 568, 513, 829, 5371, 1190, 1297, 267, 1317, 922, 9352, 6041, 3568, 513, 6305, 1297, 630, 1556, 264, 540, 3283, 780, 2005, 568, 513, 30251, 1297, 267, 2094, 621, 666, 581, 2854, 538, 476, 274, 2081, 607, 513, 2040, 540, 15654, 562, 4405, 1023, 267, 585, 1383, 267, 476, 276, 1341, 3267, 1341, 476, 4281, 780, 2005, 568, 606, 12980, 1297, 267, 1317, 519, 1611, 540, 922, 16975, 568, 606, 8870, 1297, 630, 278, 7176, 6393, 15996, 10170, 568, 606, 3284, 32565, 1297, 780, 28906, 272, 568, 513, 28119, 1297, 267, 2094, 621, 568, 3677, 982, 519, 2040, 540, 922, 1697, 16975, 630, 13199, 6393, 28906, 272, 568, 606, 1226, 573, 580, 1388, 1297, 267, 2094, 621, 3096, 607, 1454, 607, 9704, 607, 922, 26458, 780, 28906, 272, 568, 606, 5212, 1190, 1297, 267, 1317, 519, 2040, 540, 922, 9352, 9704, 568, 9642, 780, 763, 2040, 540, 922, 6305, 2188, 568, 476, 6344, 780, 763, 1587, 540, 922, 630, 12061, 14706, 264, 9704, 568, 476, 2641, 267, 1247, 519, 2040, 568, 476, 1556, 780, 763, 4009, 3597, 540, 476, 28906, 272, 568, 827, 476, 4649, 269, 275, 1626, 2568, 275, 18089, 271, 269, 634, 12945, 3597, 540, 476, 28906, 272, 568, 827, 476, 1691, 269, 276, 3374, 4343, 278, 20385, 279, 780, 29002, 547, 476, 28906, 272, 922, 9258, 630, 10204, 274, 1070, 649, 1205, 513, 5493, 30308, 630, 5325, 278, 275, 6393, 2005, 666, 581, 5258, 538, 1079, 2694, 267, 476, 1789, 543, 476, 10170, 267, 602, 3773, 1927, 2285, 513, 5493, 30308, 630, 6200, 6393, 763, 10259, 540, 476, 28906, 272, 538, 1913, 568, 834, 22764, 8536, 267, 29235, 14633, 2580, 543, 3976, 621, 568, 606, 16481, 534, 1297, 780, 19667, 30583, 281, 476, 272, 476, 4391, 476, 10695, 476, 28906, 272, 0, 258, 1215, 1684, 1411, 12763, 634, 8562, 636, 12401, 2986, 589, 23580, 2496, 1012, 1548, 568, 519, 18592, 540, 513, 2450, 476, 278, 8258, 2496, 31738, 281, 519, 1034, 1455, 8258, 7306, 585, 2021, 779, 8258, 11263, 616, 476, 277, 543, 476, 278, 16634, 23087, 540, 23580, 590, 3278, 630, 4785, 3044, 264, 4785, 23580, 12025, 305, 532, 18924, 2678, 630, 7825, 264, 293, 5424, 8562, 636, 12401, 630, 7825, 264, 276, 349, 1428, 269, 278, 349, 5392, 269, 3607, 349, 1626, 269, 276, 349, 7906, 269, 4391, 349, 1704, 269, 274, 349, 4649, 269, 5400, 349, 1240, 269, 272, 349, 6872, 269, 11025, 811, 9343, 1892, 12914, 476, 1839, 267, 476, 1001, 280, 780, 1012, 1215, 666, 594, 2268, 1250, 8258, 2450, 693, 1753, 2496, 2791, 666, 2268, 707, 8258, 2450, 1210, 2901, 5569, 610, 267, 5310, 513, 811, 1455, 6221, 538, 707, 1753, 267, 19568, 269, 6875, 835, 540, 891, 6482, 2645, 543, 16833, 621, 1472, 519, 3490, 540, 707, 9416, 267, 16287, 1141, 519, 5569, 610, 19568, 1101, 6772, 2355, 609, 513, 4050, 269, 3973, 267, 1899, 602, 909, 609, 513, 14610, 543, 1491, 1524, 922, 3259, 538, 28935, 780, 1012, 1215, 1082, 6279, 616, 538, 513, 8006, 2496, 11372, 17586, 519, 8953, 676, 476, 273, 547, 1265, 519, 8006, 269, 1280, 1383, 267, 952, 596, 723, 513, 8953, 540, 476, 5325, 6279, 267, 9062, 476, 5325, 676, 476, 273, 547, 1205, 513, 8006, 540, 476, 11463, 6279, 269, 19147, 519, 8953, 676, 476, 271, 269, 276, 547, 5173, 519, 8006, 780, 1012, 1548, 568, 519, 8006, 540, 476, 1626, 9492, 2496, 14341, 284, 279, 17744, 780, 1012, 1548, 1907, 798, 596, 946, 547, 2268, 8006, 2496, 20228, 728, 2836, 760, 619, 20228, 728, 2836, 760, 619, 281, 589, 1907, 1031, 547, 2268, 519, 3330, 543, 3544, 3845, 630, 323, 3554, 2678, 264, 543, 3178, 540, 513, 4183, 269, 7756, 3631, 2291, 971, 607, 3059, 267, 3866, 543, 31546, 1512, 1608, 760, 619, 780, 1012, 1215, 2462, 568, 513, 2450, 623, 8258, 2496, 6321, 269, 274, 21093, 634, 9406, 23580, 12025, 305, 532, 12025, 630, 20084, 264, 290, 1844, 636, 12401, 630, 7825, 264, 301, 7871, 269, 279, 302, 4649, 269, 272, 303, 6321, 269, 274, 304, 6872, 269, 7597, 811, 9343, 692, 1012, 1548, 2450, 8258, 568, 476, 273, 269, 4037, 6279, 2496, 305, 532, 12025, 23586, 15873, 11900, 728, 18924, 2678, 11900, 728, 8562, 636, 12401, 514, 2583, 332, 2381, 2583, 271, 269, 9262, 275, 2420, 269, 2420, 269, 16020, 269, 6434, 273, 2420, 269, 5655, 269, 278, 3583, 269, 8660, 273, 273, 269, 277, 1321, 269, 279, 5038, 811, 9343, 692, 1012, 1548, 568, 18592, 540, 8258, 2496, 1103, 9119, 267, 519, 18592, 540, 1022, 3337, 11225, 519, 2619, 610, 519, 10465, 602, 27788, 519, 3337, 780, 1012, 1548, 568, 519, 18592, 540, 513, 2450, 476, 1321, 8258, 2496, 305, 532, 12025, 23586, 15873, 4785, 4696, 3554, 2678, 630, 7825, 264, 290, 1844, 636, 12401, 630, 7825, 264, 18733, 269, 276, 6246, 277, 269, 25172, 272, 269, 280, 4391, 269, 4343, 272, 26801, 269, 278, 1321, 269, 15946, 269, 30203, 279, 811, 9343, 692, 1012, 1215, 1082, 4699, 568, 513, 2450, 476, 278, 8258, 2496, 4306, 7968, 476, 276, 19328, 4785, 4696, 3554, 2678, 630, 514, 4699, 264, 12893, 269, 4037, 272, 269, 8618, 4699, 14695, 272, 269, 5038, 4699, 15793, 269, 7906, 269, 6858, 4699, 15704, 272, 269, 278, 4699, 1704, 811, 9343, 692, 1012, 1548, 2450, 568, 513, 476, 273, 10759, 8258, 2496, 2171, 723, 8258, 6163, 538, 1507, 12025, 476, 272, 547, 3677, 12025, 476, 1556, 267, 1519, 476, 272, 270, 273, 7306, 256, 4855, 707, 3501, 2450, 281, 1103, 2583, 27908, 12281, 305, 5058, 16038, 30438, 272, 269, 8660, 275, 279 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 324, 520, 2580, 834, 974, 320, 2580, 834, 11927, 2580, 834, 622, 2580, 834, 333, 520, 2580, 834, 321, 520, 19312, 4297, 0, 692, 3698, 568, 300, 2255, 273, 19304, 267, 4806, 17107, 454, 825, 521, 815, 476, 271, 454, 825, 533, 815, 476, 271, 454, 825, 6474, 815, 476, 271, 454, 825, 5182, 815, 910, 272, 7531, 825, 1247, 521, 2999, 7003, 19304, 2187, 1038, 952, 533, 2999, 7003, 263, 6312, 1181, 264, 543, 630, 6312, 1181, 314, 335, 316, 2652, 834, 8119, 610, 4806, 314, 335, 316, 2525, 1598, 314, 338, 316, 2187, 2018, 521, 6834, 476, 272, 454, 2018, 533, 6834, 476, 272, 454, 1038, 8640, 533, 2999, 7003, 263, 6312, 1181, 264, 543, 4806, 314, 335, 316, 2652, 834, 265, 13426, 2018, 5182, 815, 533, 454, 2018, 6474, 815, 521, 454, 2018, 533, 6834, 476, 272, 454, 1038, 8640, 5182, 11203, 910, 272, 912, 2018, 533, 815, 5182, 1341, 476, 272, 454, 2018, 6474, 6834, 476, 272, 454, 2018, 521, 815, 6474, 454, 1038, 3116, 912, 2018, 2132, 8771, 692, 825, 1247, 533, 2999, 7003, 263, 6312, 1181, 264, 543, 4806, 314, 335, 316, 2652, 834, 265, 13426, 1038, 533, 6834, 476, 272, 7531, 825, 2132, 7003, 263, 6312, 1181, 264, 2652, 533, 692, 3698, 568, 300, 2255, 4433, 267, 533, 17107, 825, 952, 7003, 9638, 264, 2652, 476, 271, 543, 7003, 4433, 264, 11203, 476, 271, 912, 1038, 2132, 8771, 692, 825, 952, 7003, 4433, 264, 2652, 476, 271, 543, 7003, 9638, 18622, 2897, 2891, 265, 2580, 834, 257, 4297, 2525, 476, 271, 912, 1038, 2132, 6936, 692, 825, 631, 2073, 715, 815, 7003, 9638, 1070, 7003, 4433, 994, 825, 31185, 815, 20886, 16178, 30297, 301, 585, 1775, 538, 2039, 29687, 264, 6540, 825, 952, 521, 314, 271, 316, 2652, 533, 314, 271, 316, 610, 533, 314, 271, 316, 2525, 834, 265, 257, 610, 533, 314, 271, 316, 2525, 834, 8119, 912, 1038, 31185, 314, 271, 6012, 271, 316, 815, 6936, 692, 825, 585, 795, 538, 2039, 263, 272, 267, 715, 2187, 1038, 952, 31185, 314, 271, 6012, 329, 268, 272, 316, 543, 533, 314, 271, 316, 2525, 257, 265, 13426, 2018, 31185, 314, 271, 6012, 329, 316, 815, 6936, 692, 825, 1948, 2745, 5560, 335, 2020, 825, 585, 1775, 538, 2039, 263, 272, 267, 631, 2187, 1038, 952, 31185, 5157, 268, 272, 6012, 271, 316, 543, 630, 335, 5157, 316, 2525, 257, 265, 257, 610, 533, 5157, 316, 2525, 257, 8119, 610, 521, 314, 271, 316, 2525, 335, 5157, 316, 2187, 2018, 31185, 5157, 6012, 271, 316, 815, 6936, 692, 825, 1948, 2745, 5560, 335, 2020, 825, 585, 1775, 538, 2039, 263, 272, 267, 631, 2187, 1038, 585, 795, 538, 2039, 263, 272, 267, 715, 2187, 2018, 952, 630, 31389, 5157, 268, 272, 6012, 329, 268, 272, 316, 543, 630, 338, 14728, 316, 2525, 335, 5157, 316, 610, 533, 5157, 316, 2525, 257, 8119, 4297, 610, 533, 5157, 316, 2525, 257, 265, 13426, 3546, 31185, 5157, 6012, 329, 316, 815, 6936, 692, 825, 1948, 2745, 5560, 335, 2020, 825, 2132, 31185, 314, 300, 268, 272, 6012, 301, 268, 272, 6540, 454, 338, 815, 834, 12711, 4840, 335, 815, 834, 320, 4840, 2745, 263, 529, 300, 2255, 273, 4433, 267, 533, 264, 9239, 338, 815, 834, 12711, 4840, 335, 815, 834, 265, 4840, 2745, 263, 529, 300, 2255, 273, 4433, 267, 533, 11723, 338, 815, 834, 322, 321, 4840, 335, 815, 834, 286, 320, 4840, 2745, 263, 529, 300, 2255, 273, 4433, 267, 533, 11723, 338, 815, 834, 611, 576, 321, 4840, 335, 815, 834, 265, 320, 265, 321, 4840, 2745, 263, 529, 300, 2255, 273, 4433, 267, 533, 264, 9239, 338, 815, 834, 659, 26501, 321, 4840, 335, 815, 834, 320, 265, 322, 286, 321, 5016, 28744, 263, 529, 300, 2255, 273, 4433, 267, 533, 11723, 692, 338, 815, 834, 29582, 1372, 4840, 335, 815, 834, 11631, 5016, 28744, 263, 529, 300, 2255, 273, 4433, 267, 533, 11723, 338, 815, 834, 4840, 335, 815, 834, 265, 5016, 28744, 263, 529, 300, 2255, 4433, 267, 533, 4297, 0, 454, 5814, 1770, 11687, 692, 5035, 8827, 912, 22592, 9258, 4311, 267, 1535, 281, 703, 264, 9847, 703, 912, 453, 453, 18411, 453, 453, 15965, 7116, 17337, 519, 3693, 543, 7024, 519, 14230, 607, 1110, 563, 453, 453, 18257, 692, 453, 453, 330, 815, 476, 271, 454, 453, 453, 333, 815, 1496, 272, 267, 910, 272, 6012, 343, 283, 271, 2639, 453, 453, 343, 815, 2612, 3287, 994, 453, 453, 6112, 1535, 11203, 476, 271, 912, 4848, 453, 343, 267, 1110, 815, 2820, 7116, 3287, 267, 476, 1015, 994, 4848, 453, 330, 815, 737, 265, 1015, 1341, 1110, 454, 453, 16596, 562, 2608, 737, 952, 910, 335, 578, 263, 273, 267, 476, 4029, 264, 10922, 562, 2608, 737, 10922, 4073, 263, 273, 267, 476, 4029, 264, 910, 476, 272, 3116, 476, 271, 692, 22592, 9258, 273, 4311, 267, 1535, 281, 703, 264, 9847, 703, 912, 453, 453, 18411, 453, 453, 1607, 835, 3096, 519, 9226, 781, 1592, 10941, 532, 1599, 1496, 15311, 268, 272, 14073, 453, 453, 18411, 453, 453, 338, 815, 630, 343, 3436, 476, 271, 264, 910, 630, 343, 2999, 476, 271, 994, 453, 453, 337, 815, 703, 19304, 3287, 2608, 521, 264, 11468, 18737, 272, 7481, 453, 16596, 521, 2608, 678, 2608, 630, 337, 2999, 476, 273, 2878, 476, 4029, 9239, 5035, 13281, 263, 684, 8636, 652, 11053, 652, 19111, 17107, 22592, 1449, 23631, 2091, 4311, 2187, 453, 453, 338, 565, 815, 8827, 4590, 453, 453, 322, 1162, 815, 1496, 454, 4848, 453, 314, 11277, 267, 476, 25834, 16689, 4848, 453, 15631, 11277, 267, 910, 25834, 16689, 4848, 453, 314, 6344, 267, 476, 2641, 2639, 453, 453, 6540, 453, 453, 325, 272, 815, 1151, 18622, 2091, 454, 453, 22610, 1775, 267, 1535, 538, 26246, 6262, 1162, 2187, 4848, 19677, 27863, 6600, 272, 3287, 314, 271, 25818, 1535, 314, 272, 20285, 453, 453, 325, 273, 815, 1151, 18622, 2091, 273, 454, 453, 22610, 1775, 267, 1535, 538, 26246, 6262, 1162, 2187, 4848, 19677, 27863, 6600, 273, 3287, 314, 271, 25818, 1535, 314, 272, 316, 9239, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 262, 1384, 453, 684, 8636, 652, 6230, 664, 3890, 0, 5814, 20313, 7531, 5035, 30741, 24998, 17107, 825, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 1038, 1582, 22183, 815, 1535, 454, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 7531, 5035, 8943, 322, 1384, 825, 1219, 17626, 1125, 4311, 267, 3597, 2187, 1038, 5727, 21886, 3941, 513, 3529, 547, 513, 2582, 5569, 780, 1038, 2433, 6943, 3597, 281, 30741, 454, 1038, 2433, 337, 6943, 281, 1193, 454, 1038, 8173, 1038, 952, 711, 3597, 912, 2018, 2132, 834, 4840, 1038, 759, 815, 11713, 1038, 9136, 815, 20313, 269, 20075, 826, 4590, 1038, 9136, 269, 1584, 20172, 994, 1038, 1247, 711, 9136, 269, 24105, 10031, 2018, 562, 815, 9136, 10947, 4590, 2018, 952, 562, 11203, 7183, 912, 3546, 9136, 269, 1584, 3799, 16000, 994, 3546, 9136, 269, 1584, 3799, 16192, 994, 3546, 759, 6910, 19304, 3799, 22183, 4917, 2018, 3116, 912, 3546, 759, 6910, 3488, 333, 1638, 17210, 1038, 1948, 4894, 14275, 338, 689, 519, 1439, 540, 519, 1592, 692, 1038, 1948, 6112, 759, 15631, 272, 316, 2525, 1412, 333, 1638, 12466, 1038, 1948, 825, 759, 815, 759, 11468, 268, 272, 6540, 1038, 2132, 22207, 8339, 21860, 263, 637, 2020, 825, 1219, 964, 518, 658, 1125, 4311, 267, 1239, 2187, 1038, 5727, 13356, 3941, 707, 23876, 1239, 547, 3529, 780, 1038, 2433, 6943, 1239, 281, 1193, 454, 1038, 2433, 337, 6943, 281, 30741, 454, 1038, 29185, 1038, 952, 7003, 16597, 264, 2525, 271, 912, 2018, 2132, 7183, 692, 1038, 9136, 815, 1239, 21858, 263, 3299, 5073, 1038, 3597, 815, 30741, 17301, 3799, 3941, 314, 271, 28413, 1038, 7117, 815, 20313, 269, 20075, 826, 4590, 1038, 7117, 269, 1584, 20172, 994, 1038, 967, 815, 476, 272, 454, 1038, 1247, 711, 7117, 269, 24105, 10031, 2018, 562, 815, 7117, 10947, 4590, 2018, 952, 9136, 314, 785, 316, 11203, 1412, 333, 1638, 12466, 3546, 562, 16000, 815, 30741, 17301, 3799, 3941, 314, 785, 28413, 3546, 7117, 269, 1584, 3799, 16000, 994, 2018, 967, 6834, 476, 272, 692, 2018, 952, 9136, 314, 785, 316, 11203, 1412, 333, 1638, 12466, 3546, 562, 16192, 815, 30741, 17301, 3799, 3941, 314, 785, 28413, 3546, 7117, 269, 1584, 3799, 16192, 2020, 2018, 967, 6834, 476, 272, 692, 1038, 2132, 3597, 7531, 10174, 815, 30741, 263, 272, 994, 10174, 16000, 815, 30741, 263, 273, 994, 10174, 16192, 815, 30741, 263, 274, 994, 10174, 16192, 16000, 815, 30741, 263, 275, 994, 10174, 16192, 16192, 815, 30741, 263, 276, 2020, 13892, 322, 815, 8943, 322, 4590, 338, 815, 3009, 322, 4732, 518, 658, 1125, 20172, 994, 10174, 273, 815, 3009, 322, 6155, 525, 518, 658, 1125, 4433, 2020, 0, 692, 3698, 1265, 11514, 1952, 18193, 301, 13246, 25225, 2187, 825, 20735, 815, 1305, 8443, 328, 585, 1775, 538, 2039, 263, 272, 267, 7003, 25225, 11924, 272, 264, 7481, 825, 585, 562, 538, 15358, 912, 1038, 20735, 269, 4134, 15258, 3799, 994, 825, 2132, 1592, 263, 753, 2020, 3698, 1265, 11514, 1952, 18193, 301, 13246, 273, 25225, 2187, 825, 8173, 825, 2433, 6943, 15358, 281, 5903, 27776, 2639, 825, 2433, 337, 6943, 281, 5903, 27776, 2639, 825, 8173, 825, 1948, 1280, 1142, 1297, 1775, 538, 15358, 2676, 825, 1948, 649, 1665, 519, 1297, 602, 1775, 2798, 607, 2942, 563, 825, 1948, 3973, 649, 6882, 519, 1592, 267, 1205, 782, 519, 30455, 454, 825, 1948, 945, 2798, 547, 513, 2318, 1297, 454, 825, 585, 1775, 538, 2039, 12759, 25225, 15892, 1038, 4994, 815, 2612, 25225, 5157, 8079, 910, 476, 272, 454, 1038, 15358, 27709, 316, 815, 910, 2612, 25225, 27709, 20285, 825, 2132, 1496, 328, 1341, 476, 272, 585, 1775, 538, 2039, 12759, 25225, 4297, 952, 15358, 5157, 316, 3436, 476, 271, 6540, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 20735, 815, 1265, 11514, 1952, 18193, 301, 13246, 8443, 275, 267, 274, 267, 273, 267, 278, 267, 279, 267, 273, 267, 274, 267, 272, 7481, 825, 1820, 263, 753, 264, 0, 258, 8266, 540, 840, 3773, 4408, 912, 12849, 815, 22373, 8867, 334, 14824, 297, 4141, 14824, 31568, 31116, 258, 15612, 919, 519, 1297, 540, 4408, 538, 519, 840, 3773, 1592, 454, 6352, 5332, 1868, 815, 703, 12759, 3799, 1868, 4917, 258, 299, 17274, 585, 2760, 10678, 1982, 912, 6112, 6936, 912, 258, 7468, 6493, 10950, 5048, 912, 825, 1820, 2891, 15916, 972, 267, 1131, 596, 5225, 6166, 707, 2012, 286, 19515, 258, 303, 7491, 3593, 2012, 883, 4756, 912, 825, 2012, 815, 1193, 9272, 3488, 734, 15010, 1412, 1040, 29328, 14061, 5115, 1388, 1125, 15405, 258, 10267, 4242, 952, 519, 2012, 568, 538, 519, 1592, 912, 825, 952, 2012, 538, 4408, 912, 258, 2252, 9811, 267, 1820, 513, 5048, 543, 12134, 952, 519, 2012, 1058, 581, 6569, 689, 519, 1592, 454, 1038, 1257, 272, 815, 834, 8702, 6004, 4433, 1040, 15079, 4840, 1038, 3977, 26748, 272, 815, 1257, 272, 269, 8971, 28442, 994, 1038, 1820, 263, 16059, 26748, 272, 994, 1038, 1820, 2891, 25898, 596, 899, 547, 581, 6569, 689, 519, 1592, 286, 630, 344, 14672, 264, 5602, 1038, 2626, 272, 815, 3403, 3488, 734, 15010, 1412, 1040, 5115, 1388, 1125, 4590, 258, 2252, 9811, 267, 18788, 2012, 543, 6238, 936, 912, 1038, 952, 2626, 272, 2652, 834, 312, 13426, 2018, 4408, 31927, 28442, 994, 258, 2252, 711, 267, 16493, 513, 5048, 543, 6238, 936, 912, 1038, 8640, 2626, 272, 2652, 834, 301, 13426, 2018, 1820, 2891, 6546, 781, 1175, 5386, 267, 1100, 1966, 32405, 825, 3116, 912, 258, 2252, 519, 2012, 568, 711, 593, 519, 1592, 621, 16493, 513, 5048, 543, 12134, 952, 519, 2012, 1058, 581, 3773, 912, 1038, 1820, 2891, 2791, 616, 711, 593, 519, 1592, 269, 14348, 596, 899, 547, 581, 3773, 286, 5602, 1038, 1820, 2891, 11767, 962, 585, 9811, 610, 715, 585, 1100, 281, 19515, 1038, 2626, 273, 815, 3403, 3488, 734, 15010, 1412, 1040, 5115, 1388, 1125, 4590, 258, 2252, 9811, 267, 8591, 519, 2012, 547, 519, 1592, 454, 1038, 952, 2626, 273, 2652, 834, 312, 13426, 2018, 4408, 6910, 28442, 994, 258, 2252, 711, 267, 16493, 513, 5048, 543, 6238, 936, 912, 1038, 8640, 2626, 273, 2652, 834, 301, 13426, 2018, 1820, 2891, 306, 675, 267, 1294, 596, 2663, 1287, 256, 8442 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3910, 14307, 10876, 513, 2580, 3662, 5591, 1047, 20572, 3910, 3662, 5591, 1047, 20572, 3910, 834, 1701, 3418, 1038, 1820, 2891, 24874, 5839, 291, 10735, 1185, 513, 3484, 267, 661, 324, 268, 662, 267, 661, 324, 268, 662, 267, 7937, 256, 1422, 333, 14744, 1038, 1535, 815, 1535, 1341, 476, 272, 1477, 10852, 14052, 0, 258, 567, 1902, 18258, 1477, 258, 567, 589, 1982, 602, 1902, 338, 23228, 258, 567, 11711, 281, 700, 5400, 268, 6734, 1477, 258, 567, 676, 281, 15623, 8187, 324, 825, 1477, 258, 567, 476, 1556, 268, 1626, 268, 1708, 271, 5897, 3698, 1292, 28399, 825, 513, 305, 815, 859, 531, 9272, 2891, 1432, 568, 519, 1323, 783, 1242, 703, 6135, 2557, 281, 834, 17903, 825, 1775, 309, 815, 859, 531, 9272, 2891, 1432, 568, 519, 538, 1388, 5092, 281, 834, 17903, 24541, 825, 23060, 815, 1775, 309, 2608, 476, 273, 1477, 825, 1296, 815, 476, 271, 1477, 825, 1247, 1775, 309, 2999, 23060, 6769, 1038, 1775, 309, 815, 1775, 309, 2608, 513, 305, 1477, 1038, 1296, 815, 1296, 1341, 476, 272, 1477, 825, 1820, 9497, 763, 2179, 540, 1296, 621, 1131, 1491, 568, 281, 14307, 1296, 3418, 1363, 1477, 1363, 1477, 10852, 14052, 0, 258, 567, 1574, 614, 18258, 1477, 258, 567, 11711, 2012, 281, 700, 5881, 268, 6021, 1477, 258, 567, 13517, 281, 589, 1982, 602, 1477, 258, 567, 1635, 281, 15623, 8187, 324, 1477, 258, 567, 476, 1556, 268, 280, 268, 1708, 271, 5897, 3698, 1574, 614, 12169, 792, 8029, 825, 513, 815, 1032, 260, 866, 1477, 825, 536, 815, 1032, 260, 275, 1477, 825, 524, 815, 1032, 260, 278, 1477, 825, 546, 815, 16733, 866, 2608, 513, 264, 1341, 476, 2190, 264, 260, 1789, 1477, 825, 552, 815, 16733, 273, 2608, 536, 11924, 263, 275, 2608, 524, 11924, 263, 277, 2608, 546, 264, 1341, 476, 276, 264, 260, 278, 5897, 825, 20735, 815, 546, 1341, 552, 1477, 24541, 825, 2132, 20735, 24653, 24541, 24541, 672, 24653, 3698, 1292, 28399, 825, 1032, 815, 703, 9272, 2891, 1432, 568, 519, 1032, 914, 933, 8696, 476, 2735, 273, 543, 476, 14225, 279, 281, 834, 17903, 825, 952, 1032, 2999, 476, 2735, 273, 610, 1032, 3436, 476, 14225, 279, 6769, 25639, 1820, 2891, 11073, 540, 2039, 5225, 2824, 513, 1032, 914, 933, 8696, 476, 2735, 273, 543, 476, 14225, 279, 14744, 25639, 1032, 815, 703, 9272, 2891, 1432, 568, 519, 1032, 281, 834, 264, 10142, 825, 552, 815, 1574, 614, 12169, 792, 10142, 825, 1820, 2891, 763, 4266, 540, 1574, 614, 568, 24333, 324, 3418, 24541, 10852, 14052 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9478, 8361, 8534, 14898, 267, 23134, 2160, 267, 23134, 267, 27359, 476, 5400, 276, 4510, 630, 9802, 476, 277, 267, 476, 1220, 278, 264, 634, 1966, 540, 513, 21117, 602, 15942, 1510, 11508, 1247, 692, 2162, 17976, 700, 736, 910, 6052, 10613, 281, 20698, 9792, 521, 12307, 692, 306, 269, 654, 573, 333, 718, 476, 277, 269, 5881, 18868, 12096, 476, 27947, 19405, 476, 274, 269, 271, 17976, 700, 271, 910, 6052, 10613, 281, 20698, 9792, 521, 12307, 634, 5163, 540, 5536, 543, 14461, 4703, 568, 18170, 676, 552, 342, 2023, 521, 1876, 269, 769, 713, 3296, 267, 649, 786, 17589, 606, 14595, 692, 2162, 15585, 566, 267, 17029, 1782, 267, 8776, 4302, 267, 4911, 983, 28850, 636, 692, 295, 718, 6118, 267, 1763, 333, 1157, 1299, 21701, 3848, 476, 1015, 1299, 476, 1556, 15585, 566, 267, 17029, 1782, 267, 8776, 4302, 267, 4911, 983, 28850, 636, 8212, 476, 272, 288, 11682, 22076, 12208, 272, 7905, 7812, 8738, 2023, 15585, 566, 476, 1015, 268, 272, 15585, 1049, 25159, 256, 634, 5163, 540, 10047, 256, 634, 1482, 692, 2162, 12052, 2160, 4972, 540, 8212, 19532, 3201, 9281, 312, 5058, 12327, 4456, 2562, 9569, 692, 8624, 3518, 807, 2160, 4972, 540, 8212, 19532, 3201, 9281, 312, 5058, 12327, 4456, 2562, 9569, 11728, 267, 5130, 476, 1724, 267, 476, 1001, 275, 476, 272, 281, 876, 15014, 547, 476, 274, 281, 876, 15014, 18190, 8212, 8791, 476, 272, 269, 18190, 23317, 5565, 3108, 616, 15868, 585, 519, 12032, 540, 692, 2162, 4741, 540, 32322, 269, 1284, 20109, 593, 713, 13713, 538, 3184, 476, 278, 256, 1535, 476, 273, 692, 290, 10938, 540, 32322, 1284, 20109, 593, 713, 13713, 538, 3184, 476, 278, 256, 1535, 476, 272, 1535, 476, 273, 4699, 544, 476, 272, 544, 476, 273, 901, 729, 585, 1018, 568, 1634, 607, 15768, 3615, 269, 2598, 4740, 4016, 547, 519, 1249, 602, 519, 1079, 3615, 9674, 543, 1367, 780, 2162, 476, 1556, 269, 15585, 566, 25927, 1049, 18289, 281, 15585, 1049, 18289, 1384, 1556, 269, 15585, 566, 25927, 1049, 18289, 281, 18289, 540, 519, 4099, 540, 2527, 540, 606, 1843, 689, 835, 2990, 547, 1776, 269, 2353, 519, 5163, 5941, 865, 2484, 12851, 547, 713, 7121, 267, 4849, 7833, 9764, 5163, 269, 15585, 1049, 692, 2162, 17976, 476, 277, 2433, 589, 7878, 10066, 538, 476, 274, 7516, 692, 299, 15145, 476, 277, 2433, 589, 7878, 10066, 538, 476, 274, 7516, 2107, 10503, 21800, 5066, 267, 12334, 543, 586, 1177, 476, 272, 269, 271, 22947, 18868, 7844, 1280, 8184, 6384, 1299, 1852, 267, 519, 4704, 7406, 568, 13988, 609, 519, 8484, 692, 2162, 8212, 476, 7871, 269, 15585, 1049, 18289, 476, 272, 269, 1284, 2811, 2469, 547, 2490, 713, 2319, 1472, 476, 11740, 5232, 269, 26778, 918, 1342, 692, 30125, 476, 7871, 15585, 1049, 18289, 476, 272, 1284, 2811, 2469, 547, 2490, 713, 2319, 1472, 476, 11740, 5232, 269, 26778, 918, 1342, 15519, 573, 4703, 1677, 513, 1434, 19406, 267, 513, 4396, 1843, 31136, 899, 513, 9985, 14461, 1560, 267, 538, 799, 1142, 9325, 692, 2162, 3848, 476, 1015, 15585, 1049, 18289, 269, 14645, 476, 1220, 280, 21942, 4065, 267, 5549, 780, 6637, 476, 1015, 15585, 1049, 18289, 4911, 983, 10829, 885, 19590, 540, 3848, 476, 1015, 21070, 7186, 540, 4911, 983, 10829, 885, 19693, 4911, 983, 24665, 566, 8776, 4302, 15585, 1049, 18868, 282, 8776, 4302, 543, 15585, 1049, 769, 1068, 807, 14572, 10819, 692, 2162, 8827, 14216, 643, 725, 585, 7167, 320, 1948, 1556, 692, 11405, 14216, 643, 725, 585, 7167, 320, 1948, 1556, 476, 272, 264, 589, 8880, 9764, 3760, 630, 300, 815, 476, 12553, 269, 272, 4846, 267, 678, 815, 476, 274, 269, 1556, 544, 264, 29226, 827, 513, 11508, 1652, 7299, 4949, 548, 269, 589, 2875, 630, 332, 815, 476, 6924, 269, 274, 4846, 264, 15211, 7444, 689, 519, 26079, 540, 519, 3760, 692, 2162, 11068, 3410, 10298, 269, 544, 31918, 815, 28911, 535, 630, 296, 8868, 1341, 594, 16886, 3738, 815, 28911, 535, 476, 273, 19182, 273, 1341, 32275, 476, 273, 3738, 28911, 535, 815, 642, 681, 269, 476, 272, 1341, 631, 476, 273, 332, 692, 300, 573, 3410, 10298, 594, 264, 589, 16886, 540, 2527, 544, 3001, 693, 8880, 6991, 642, 16716, 543, 16853, 547, 519, 26079, 540, 513, 8868, 513, 4396, 1167, 264, 540, 2527, 631, 267, 8953, 681, 267, 12979, 1819, 693, 922, 4099, 855, 1863, 547, 17967, 1775, 264, 6904, 540, 692, 2162, 8212, 476, 280, 324, 14727, 583, 24274, 269, 17047, 547, 519, 269, 5441, 8274, 6673, 8212, 476, 272, 6092, 20505, 692, 30125, 476, 280, 324, 14727, 583, 24274, 17047, 547, 519, 5441, 8274, 6673, 8212, 476, 272, 6092, 20505, 8262, 22830, 476, 272, 281, 27014, 543, 1949, 723, 3601, 971, 607, 2527, 543, 5279, 269, 7010, 949, 723, 4835, 2497, 269, 7736, 1005, 692, 2162, 17266, 543, 17677, 7077, 28764, 692, 306, 17532, 543, 17677, 7077, 28764, 18637, 686, 11253, 30781, 5451, 548, 345, 476, 272, 4985, 1284, 786, 2328, 1524, 4834, 540, 5163, 585, 513, 2582, 543, 513, 5595, 7077, 28764, 267, 1739, 13053, 521, 4834, 267, 543, 1210, 20698, 9792, 521, 4834, 780, 2162, 3848, 476, 280, 15519, 573, 10610, 18289, 538, 476, 274, 291, 692, 6637, 476, 280, 15519, 573, 10610, 18289, 538, 476, 274, 291, 15519, 573, 1560, 10047, 538, 476, 274, 291, 568, 513, 7294, 1966, 8506, 519, 4367, 540, 9937, 832, 269, 16270, 12032, 540, 713, 3184, 649, 786, 581, 2111, 547, 4766, 971, 1919, 607, 519, 692, 2162, 23317, 8212, 476, 14681, 692, 9288, 2559, 923, 8212, 476, 14681, 17976, 476, 1015, 15519, 573, 10610, 18289, 630, 6637, 476, 276, 264, 1548, 1284, 9894, 7831, 5384, 256, 5853, 519, 6991, 1813, 547, 10047, 256, 13242, 621, 547, 1265, 4856, 2723, 529, 1198, 256, 4045, 539, 28911, 609, 519, 25586, 7285, 256, 20698, 337, 836, 1014, 692, 2162, 17976, 476, 1626, 269, 13053, 521, 5822, 4521, 585, 15585, 566, 269, 28850, 540, 769, 1068, 807, 269, 4911, 983, 11610, 269, 12338, 24274, 266, 297, 28427, 281, 476, 280, 269, 275, 267, 476, 280, 269, 277, 692, 299, 15145, 476, 1626, 13053, 521, 5822, 4521, 585, 15585, 566, 28850, 540, 769, 1068, 807, 4911, 983, 11610, 12338, 24274, 266, 297, 28427, 281, 476, 280, 269, 275, 267, 476, 280, 269, 277, 13053, 521, 5822, 4521, 585, 15585, 566, 13053, 521, 2034, 1876, 3081, 875, 513, 2121, 3196, 3123, 606, 10231, 780, 2162, 17976, 700, 1704, 910, 2107, 4226, 3690, 325, 619, 543, 3955, 17839, 8767, 3004, 915, 1559, 692, 306, 269, 654, 573, 333, 718, 267, 808, 269, 3131, 18311, 476, 1626, 269, 5881, 18868, 12096, 476, 25484, 19405, 269, 271, 17976, 700, 1704, 910, 2107, 4226, 3690, 325, 619, 543, 3955, 17839, 8767, 3004, 915, 1559, 769, 713, 11000, 267, 649, 786, 2015, 875, 547, 4483, 689, 835, 10739, 267, 547, 1776, 610, 547, 692, 2162, 4911, 983, 28850, 636, 10819, 7420, 10819, 692, 17951, 983, 28850, 636, 10819, 7420, 10819, 9046, 476, 272, 281, 23625, 16511, 558, 12067, 589, 11442, 21525, 12067, 540, 2527, 544, 700, 8255, 593, 513, 8880, 9764, 3950, 540, 8953, 681, 543, 2698, 2527, 544, 570, 269, 634, 3950, 3029, 519, 26079, 540, 606, 6382, 692, 2162, 17976, 700, 1724, 910, 20271, 894, 18378, 17086, 543, 15783, 6052, 692, 306, 269, 654, 573, 333, 718, 267, 808, 269, 3131, 18311, 476, 1626, 269, 5881, 18868, 12096, 476, 25484, 19405, 269, 271, 17976, 700, 1724, 910, 20271, 894, 18378, 17086, 543, 15783, 6052, 634, 4229, 4835, 547, 513, 1062, 616, 540, 1079, 2010, 269, 20271, 894, 4229, 267, 971, 607, 8904, 16963, 2162, 3689, 12054, 6856, 4804, 28080, 1115, 692, 5575, 12054, 6856, 4804, 28080, 1115, 476, 272, 269, 272, 269, 4692, 5581, 2101, 3334, 540, 519, 3621, 1505, 476, 272, 269, 273, 269, 4692, 8308, 4163, 856, 24740, 1210, 21021, 2079, 476, 272, 269, 274, 269, 4692, 8415, 543, 6460, 11973, 18772, 525, 692, 2162, 6673, 12195, 296, 3633, 13878, 30388, 5084, 309, 3198, 290, 3633, 700, 14110, 5085, 692, 4338, 12195, 296, 3633, 13878, 30388, 5084, 309, 3198, 290, 3633, 700, 14110, 5085, 21850, 29767, 901, 21038, 5713, 547, 4983, 10457, 1702, 543, 1983, 538, 2606, 6310, 543, 8579, 2409, 267, 543, 741, 3156, 269, 1280, 3156, 692, 2162, 6997, 476, 278, 281, 15585, 1049, 18289, 692, 24248, 476, 278, 281, 15585, 1049, 18289, 16811, 281, 4578, 6597, 1470, 267, 27414, 5163, 9300, 15841, 593, 476, 3199, 4699, 11425, 543, 5230, 10279, 14541, 28728, 630, 303, 3008, 4596, 19294, 268, 280, 5325, 273, 1070, 5569, 609, 8520, 693, 835, 1439, 543, 1507, 3043, 29950, 693, 519, 824, 1439, 630, 10219, 692, 2162, 3848, 476, 2190, 8447, 623, 754, 4918, 692, 6637, 476, 275, 8447, 623, 754, 4918, 476, 275, 269, 272, 4985, 1862, 476, 272, 476, 275, 269, 272, 269, 272, 11822, 623, 754, 4918, 281, 8776, 4302, 13979, 1862, 476, 272, 476, 275, 269, 8447, 623, 754, 4918, 1862, 476, 275, 269, 274, 4518, 539, 6201, 1862, 476, 275, 7151, 476, 275, 269, 272, 744, 12965, 908, 14339, 1862, 476, 275, 7151, 476, 275, 269, 274, 570, 832, 1308, 744, 12965, 1807, 13718, 2162, 17976, 700, 1240, 910, 10289, 519, 27199, 4011, 3125, 281, 519, 10163, 24071, 8422, 5174, 1328, 9046, 692, 306, 269, 654, 573, 333, 718, 476, 1626, 269, 5881, 18868, 12096, 476, 25484, 19405, 476, 272, 269, 271, 17976, 700, 1240, 910, 10289, 519, 27199, 4011, 3125, 281, 519, 10163, 24071, 8422, 5174, 1328, 9046, 634, 8422, 5174, 1328, 9046, 769, 17976, 476, 1428, 268, 1704, 267, 649, 4843, 519, 3070, 547, 519, 1079, 23073, 692, 2162, 23317, 476, 272, 281, 11094, 540, 6052, 543, 28850, 636, 692, 9288, 2559, 923, 2433, 11094, 540, 6052, 543, 28850, 636, 1403, 513, 1978, 7274, 2404, 609, 513, 1062, 1281, 711, 1689, 538, 942, 269, 1284, 2161, 602, 621, 568, 24721, 267, 543, 519, 1062, 19299, 513, 5726, 1876, 269, 11094, 692, 2162, 19405, 28217, 26177, 6657, 476, 279, 1286, 2651, 630, 9340, 5400, 264, 476, 272, 692, 309, 619, 542, 28217, 26177, 6657, 476, 279, 1286, 2651, 476, 9340, 5400, 476, 272, 901, 1820, 13050, 1058, 723, 476, 1321, 2055, 269, 13038, 31547, 2055, 949, 3136, 593, 519, 2121, 6241, 610, 2985, 1265, 782, 5079, 1354, 16460, 269, 769, 1068, 807, 540, 3752, 1749, 692, 2162, 3848, 476, 1556, 269, 554, 815, 476, 276, 332, 269, 815, 544, 724, 1341, 476, 272, 476, 273, 544, 341, 476, 273, 1341, 476, 272, 476, 273, 594, 22886, 476, 273, 269, 661, 535, 269, 815, 661, 1775, 269, 642, 815, 476, 275, 476, 274, 575, 22607, 554, 264, 815, 476, 275, 476, 274, 476, 280, 269, 279, 332, 1315, 521, 273, 630, 279, 332, 476, 276, 332, 264, 815, 476, 277, 269, 2918, 332, 1315, 521, 269, 28911, 815, 642, 678, 815, 476, 277, 780, 6637, 476, 1556, 476, 1556, 269, 278, 589, 4396, 12718, 540, 8953, 476, 1015, 9492, 543, 2527, 476, 272, 11899, 6238, 689, 1964, 543, 20061, 1510, 1793, 6235, 513, 3845, 540, 476, 277, 332, 1524, 513, 2777, 8122, 602, 568, 20916, 693, 476, 1789, 5232, 630, 320, 264, 1548, 568, 519, 16070, 3432, 692, 2162, 6167, 4353, 8991, 3951, 4953, 4953, 594, 13013, 26183, 692, 7419, 4353, 8991, 3951, 4953, 4953, 594, 13013, 26183, 5489, 19898, 3901, 7416, 5991, 4405, 10903, 839, 330, 19125, 15607, 535, 752, 738, 564, 11929, 538, 281, 674, 22076, 476, 20542, 18190, 23317, 543, 5082, 16967, 3428, 923, 4303, 540, 981, 281, 13638, 4873, 476, 275, 267, 476, 25320, 11929, 3108, 281, 476, 275, 3108, 267, 4098, 693, 476, 1691, 281, 1789, 901, 6514, 692, 2162, 1284, 723, 1175, 5189, 513, 1101, 2186, 540, 28408, 1689, 540, 10066, 269, 2913, 521, 1289, 621, 31196, 5025, 978, 548, 780, 273, 269, 272, 269, 276, 15585, 725, 538, 476, 274, 5937, 1472, 519, 5169, 282, 31196, 540, 10047, 769, 1614, 8820, 2230, 267, 621, 786, 711, 581, 6190, 1175, 547, 5815, 513, 4099, 540, 10047, 267, 607, 649, 1705, 585, 7077, 10252, 14670, 923, 269, 7102, 1689, 540, 10066, 692, 2162, 18868, 540, 15585, 1049, 18289, 692, 6637, 476, 1015, 18868, 540, 15585, 1049, 18289, 17948, 700, 624, 999, 585, 2160, 8212, 267, 3828, 27097, 9990, 670, 7676, 667, 269, 8479, 543, 23011, 589, 269, 6154, 539, 2006, 700, 624, 999, 676, 6276, 623, 1794, 684, 3525, 1881, 676, 623, 269, 19681, 476, 276, 318, 4029, 318, 1001, 273, 17644 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 8347, 1375, 12858, 454, 18411, 5814, 11346, 454, 5814, 27368, 454, 5228, 5895, 1023, 1104, 27661, 5228, 840, 2903, 518, 1104, 4452, 318, 13548, 692, 5035, 9315, 263, 6853, 18524, 4732, 335, 1679, 2529, 335, 1679, 2187, 825, 8173, 825, 634, 9315, 1362, 4564, 513, 4730, 2275, 731, 538, 519, 3014, 269, 3097, 825, 769, 621, 267, 782, 3556, 7954, 543, 3556, 2592, 616, 6740, 563, 825, 8173, 8931, 825, 9290, 5332, 1868, 815, 22373, 291, 3554, 4637, 2580, 834, 5141, 889, 338, 2580, 834, 3891, 11301, 2580, 834, 8967, 3547, 31116, 825, 7584, 5332, 1868, 815, 22373, 288, 576, 2580, 834, 273, 2580, 834, 274, 2580, 834, 275, 2580, 834, 276, 2580, 834, 277, 2580, 834, 278, 2580, 834, 279, 2580, 834, 280, 2580, 834, 1015, 2580, 834, 31568, 2580, 834, 20075, 523, 2580, 834, 21914, 257, 6540, 825, 1219, 6449, 8181, 9191, 1345, 267, 9290, 267, 7584, 267, 4395, 267, 1535, 267, 586, 2187, 1038, 27368, 4732, 335, 1679, 2529, 335, 1679, 14857, 8181, 9191, 1345, 994, 1038, 1582, 4732, 3726, 815, 9290, 454, 1038, 1582, 269, 17213, 815, 7584, 454, 1038, 1582, 8807, 3224, 815, 4395, 454, 1038, 1582, 269, 3724, 815, 4452, 318, 13548, 3488, 327, 5200, 318, 25717, 26666, 5073, 1038, 1582, 269, 13548, 815, 1582, 269, 3724, 454, 1038, 1582, 269, 5550, 815, 1582, 269, 13548, 10947, 318, 5550, 4590, 1038, 1582, 269, 5550, 269, 22487, 815, 630, 343, 11971, 264, 11434, 454, 1038, 1582, 6993, 302, 292, 815, 27368, 10611, 624, 3287, 11971, 267, 3556, 318, 12296, 267, 3556, 318, 19417, 270, 276, 264, 1948, 22704, 2986, 9314, 267, 21266, 740, 512, 10440, 26627, 2849, 326, 838, 559, 1775, 32489, 340, 563, 1038, 1582, 6993, 302, 292, 6745, 963, 1111, 815, 630, 343, 2275, 731, 318, 12296, 270, 273, 267, 586, 2275, 731, 318, 19417, 270, 273, 994, 1038, 1582, 19544, 5200, 815, 6936, 454, 1038, 1582, 18994, 12749, 815, 8771, 28329, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1412, 260, 338, 540, 4939, 338, 262, 4939, 630, 1345, 269, 17213, 5332, 1868, 314, 1345, 269, 17213, 3910, 1582, 4732, 3726, 5332, 1868, 314, 1345, 4732, 3726, 7481, 8931, 825, 1219, 6449, 322, 5404, 9191, 1345, 267, 824, 2187, 1038, 5727, 634, 1101, 6221, 540, 1101, 24042, 568, 3379, 547, 519, 1101, 6221, 540, 519, 2034, 24042, 563, 1038, 1403, 789, 616, 711, 3160, 267, 713, 568, 519, 1267, 540, 519, 6476, 267, 3116, 519, 2034, 6221, 568, 2808, 563, 1038, 8173, 1038, 512, 272, 815, 1582, 4732, 3726, 267, 1582, 269, 17213, 454, 1038, 512, 273, 815, 824, 4732, 3726, 267, 824, 269, 17213, 454, 1038, 2132, 4699, 335, 6025, 272, 25722, 273, 994, 8931, 825, 1219, 16212, 4311, 2187, 1038, 1582, 269, 13548, 815, 1582, 8807, 3224, 454, 1038, 1582, 19544, 5200, 815, 8771, 692, 825, 1219, 16212, 318, 3724, 4311, 2187, 1038, 1582, 269, 13548, 815, 1582, 269, 3724, 454, 1038, 1582, 19544, 5200, 815, 6936, 22562, 825, 1219, 1847, 318, 22487, 15461, 4311, 267, 2608, 16911, 2187, 1038, 952, 7003, 263, 16911, 264, 2652, 476, 272, 10778, 2018, 7682, 568, 27349, 263, 16911, 314, 271, 3910, 24042, 1070, 1412, 26855, 2163, 1058, 581, 513, 24042, 256, 7055, 2018, 1582, 269, 5550, 269, 22487, 815, 26571, 314, 271, 2639, 2018, 1948, 327, 1314, 21266, 740, 1305, 10937, 4571, 9857, 589, 302, 292, 513, 1427, 11927, 588, 611, 454, 2018, 1582, 6993, 302, 292, 269, 22487, 815, 24042, 9852, 777, 263, 28072, 14491, 267, 1582, 269, 5550, 269, 22487, 267, 630, 271, 267, 11196, 15258, 318, 19417, 270, 273, 11924, 263, 15258, 318, 19417, 270, 1015, 264, 3738, 4917, 1038, 3116, 10778, 2018, 2119, 912, 3546, 1582, 269, 5550, 269, 22487, 815, 630, 16911, 314, 271, 3910, 16911, 314, 272, 7481, 3546, 1948, 327, 1314, 21266, 740, 1305, 10937, 4571, 9857, 589, 302, 292, 513, 1427, 11927, 588, 611, 454, 3546, 1582, 6993, 302, 292, 269, 22487, 815, 24042, 9852, 777, 263, 11346, 14491, 267, 1582, 269, 5550, 269, 22487, 267, 630, 271, 267, 8987, 15258, 318, 19417, 270, 273, 11924, 263, 15258, 318, 19417, 270, 1015, 264, 3738, 4917, 2018, 4849, 630, 16920, 25572, 13286, 267, 7392, 13286, 2187, 3546, 6318, 2667, 1068, 542, 13286, 3488, 19152, 4632, 1058, 581, 1535, 543, 586, 10974, 5073, 8931, 825, 1219, 9337, 4311, 267, 562, 2187, 1038, 1582, 269, 5550, 269, 22487, 815, 24042, 9852, 777, 263, 11346, 14491, 267, 27368, 6230, 1787, 10947, 29223, 19572, 630, 271, 19885, 265, 344, 318, 4752, 3553, 4297, 2020, 3698, 1292, 10031, 825, 1820, 9315, 14857, 25269, 1029, 692, 604, 6449, 4067, 1029, 2652, 21507, 10852, 1029, 9166, 1292, 4590, 0, 12163, 289, 2435, 3406, 3529, 32280, 6388, 538, 5124, 454, 20701, 454, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1883, 2187, 1038, 1582, 21606, 815, 1883, 454, 1038, 1582, 16000, 815, 7183, 454, 1038, 1582, 16192, 815, 7183, 7531, 3698, 7696, 20172, 267, 1883, 17107, 825, 952, 3597, 568, 7183, 912, 1038, 3597, 815, 19219, 31107, 994, 1038, 2132, 3597, 692, 825, 952, 1883, 2999, 3597, 21606, 912, 1038, 3597, 16000, 815, 7696, 20172, 16000, 267, 1883, 994, 825, 3116, 912, 1038, 3597, 16192, 815, 7696, 20172, 16192, 267, 1883, 2020, 825, 2132, 3597, 7531, 3698, 1295, 20172, 2187, 825, 10917, 815, 3597, 454, 825, 1247, 10917, 16000, 912, 1038, 10917, 815, 10917, 16000, 454, 825, 2132, 10917, 7531, 3698, 18419, 20172, 267, 1883, 2187, 825, 952, 711, 3597, 912, 1038, 2132, 3597, 454, 825, 952, 1883, 2999, 3597, 21606, 912, 1038, 3597, 16000, 815, 18419, 20172, 16000, 267, 1883, 994, 825, 8640, 1883, 3436, 3597, 21606, 912, 1038, 3597, 16192, 815, 18419, 20172, 16192, 267, 1883, 994, 825, 3116, 912, 1038, 952, 711, 3597, 16000, 912, 2018, 10917, 815, 3597, 16192, 454, 2018, 3597, 815, 7183, 454, 2018, 2132, 10917, 454, 1038, 8640, 711, 3597, 16192, 912, 2018, 10917, 815, 3597, 16000, 454, 2018, 3597, 815, 7183, 454, 2018, 2132, 10917, 454, 1038, 3116, 912, 2018, 10917, 815, 1295, 20172, 16192, 994, 2018, 3597, 269, 4486, 815, 10917, 269, 4486, 454, 2018, 3597, 16192, 815, 18419, 20172, 16192, 267, 10917, 269, 4486, 994, 825, 2132, 3597, 7531, 3698, 538, 4650, 20172, 2187, 825, 952, 711, 3597, 912, 1038, 2132, 7183, 692, 825, 538, 4650, 20172, 16000, 994, 825, 1820, 20172, 21606, 267, 1439, 8782, 30386, 825, 538, 4650, 20172, 16192, 9239, 604, 6449, 4067, 1029, 2525, 262, 1029, 10852, 1029, 262, 1384, 825, 3597, 815, 7696, 263, 14085, 267, 476, 2004, 994, 825, 3597, 815, 7696, 20172, 267, 476, 1789, 994, 825, 3597, 815, 7696, 20172, 267, 476, 736, 994, 825, 3597, 815, 7696, 20172, 267, 476, 2412, 994, 825, 3597, 815, 7696, 20172, 267, 476, 3583, 994, 825, 3597, 815, 7696, 20172, 267, 476, 2568, 2020, 825, 1820, 3488, 1103, 4650, 3004, 951, 531, 540, 3529, 568, 281, 3299, 1439, 8782, 30386, 825, 538, 4650, 20172, 994, 825, 1820, 4590, 825, 18419, 20172, 267, 476, 2568, 994, 825, 1820, 3488, 1103, 4650, 3004, 951, 531, 540, 3529, 568, 281, 3299, 1439, 8782, 30386, 825, 538, 4650, 20172, 2020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5838, 476, 272, 267, 3583, 272, 29054, 540, 5010, 4568, 2877, 547, 6830, 1518, 7969, 25299, 269, 10251, 267, 519, 6307, 22966, 652, 324, 2760, 546, 18088, 538, 7977, 563, 21156, 267, 519, 6928, 729, 2663, 4362, 13735, 538, 519, 1647, 540, 519, 26463, 540, 18582, 1537, 30198, 267, 609, 1100, 4191, 540, 6560, 267, 513, 1272, 29539, 7508, 267, 519, 18279, 779, 2845, 543, 4568, 16856, 267, 855, 15877, 513, 2582, 2713, 1268, 593, 4604, 563, 763, 1559, 540, 1018, 5949, 2039, 782, 519, 1259, 689, 9813, 705, 9134, 547, 4573, 4176, 547, 18535, 32669, 602, 7142, 10205, 618, 267, 855, 1100, 598, 5477, 6169, 6818, 607, 547, 1018, 2965, 5949, 547, 519, 12284, 540, 519, 6307, 22966, 652, 324, 281, 0, 2690, 519, 6604, 540, 512, 22824, 936, 513, 1900, 454, 268, 634, 9386, 3337, 23352, 513, 1900, 543, 11151, 3802, 619, 689, 588, 22824, 543, 6517, 543, 21891, 689, 9991, 454, 268, 23663, 666, 1780, 12347, 593, 713, 6676, 269, 634, 3337, 11151, 25483, 950, 18646, 1205, 593, 519, 8728, 563, 268, 634, 4393, 540, 9240, 913, 543, 1900, 593, 519, 2627, 31267, 4550, 1606, 28309, 3601, 563, 268, 634, 3337, 540, 519, 5377, 666, 1577, 1216, 979, 856, 267, 865, 621, 568, 2182, 547, 581, 3893, 6410, 676, 4764, 563, 268, 10815, 18015, 982, 1346, 10824, 13583, 3293, 689, 6405, 454, 268, 2052, 581, 4448, 2427, 676, 2427, 609, 519, 31211, 3769, 563, 288, 6676, 602, 23352, 513, 1900, 454, 347, 28237, 2012, 1475, 12296, 263, 7825, 10534, 323, 3704, 630, 7825, 10534, 19417, 263, 7825, 10534, 31642, 640, 829, 2013, 630, 9917, 1115, 10534, 338, 1222, 618, 2603, 6262, 848, 264, 11406, 347, 3721, 17934, 5236, 376, 362, 5405, 353, 5405, 364, 5405, 491, 7785, 1475, 7785, 1475, 17734, 1475, 1911, 1475, 273, 1475, 272, 2008, 347, 3721, 17934, 5236, 376, 362, 5405, 353, 5405, 364, 5405, 491, 7785, 5405, 354, 1475, 7785, 1475, 17734, 1475, 1911, 1475, 275, 1475, 272, 2008, 347, 3721, 17934, 5236, 376, 362, 5405, 353, 5405, 364, 5405, 491, 12010, 1475, 12010, 1475, 17734, 1475, 1911, 1475, 273, 1475, 272, 2008, 347, 3721, 17934, 5236, 376, 362, 5405, 353, 5405, 364, 5405, 491, 12010, 5405, 354, 1475, 12010, 1475, 17734, 1475, 1911, 1475, 275, 1475, 272, 2008, 347, 3721, 17934, 5236, 376, 362, 5405, 353, 5405, 364, 5405, 491, 29637, 5405, 357, 1475, 7785, 1475, 22430, 1475, 5611, 1475, 273, 1475, 273, 2008, 347, 3721, 17934, 5236, 376, 362, 5405, 353, 5405, 364, 5405, 491, 29637, 5405, 354, 1475, 7785, 1475, 22430, 1475, 5611, 1475, 275, 1475, 272, 2008, 347, 3721, 17934, 5236, 376, 362, 5405, 353, 5405, 364, 5405, 491, 2568, 5405, 350, 1475, 7785, 1475, 5611, 1475, 2412, 1475, 275, 1475, 272, 2008, 347, 3721, 17934, 5236, 376, 362, 5405, 353, 5405, 364, 5405, 491, 2568, 5405, 350, 5405, 354, 1475, 7785, 1475, 5611, 1475, 2412, 1475, 275, 1475, 272, 2008, 347, 3721, 17934, 5236, 376, 362, 5405, 353, 5405, 364, 5405, 491, 17734, 5405, 352, 1475, 17734, 1475, 17734, 1475, 1911, 1475, 275, 1475, 272, 2008, 347, 3721, 17934, 5236, 376, 362, 5405, 353, 5405, 364, 5405, 491, 17734, 5405, 352, 5405, 354, 1475, 17734, 1475, 17734, 1475, 1911, 1475, 275, 1475, 272, 2008, 347, 3721, 17934, 5236, 376, 362, 5405, 353, 5405, 364, 5405, 491, 22430, 5405, 352, 1475, 22430, 1475, 22430, 1475, 5611, 1475, 275, 1475, 272, 2008, 347, 3721, 17934, 5236, 376, 362, 5405, 353, 5405, 364, 5405, 491, 22430, 5405, 352, 5405, 354, 1475, 22430, 1475, 22430, 1475, 5611, 1475, 275, 1475, 272, 2008, 20578, 619, 945, 9763, 713, 1587, 849, 13761, 454, 32317, 1034, 5078, 585, 519, 8876, 960, 454, 293, 23341, 1614, 2000, 9707, 18674, 4604, 454, 293, 2716, 1043, 6227, 22537, 547, 1585, 5546, 1510, 11746, 0, 27078, 894, 6611, 12292, 454, 309, 665, 5879, 9293, 281, 23694, 267, 2942, 2230, 267, 9403, 267, 3623, 17924, 8291, 267, 23296, 4290, 454, 24375, 676, 3168, 693, 2835, 585, 5961, 540, 2831, 609, 10058, 3270, 269, 8571, 519, 3662, 543, 2759, 621, 856, 267, 2870, 513, 23296, 4290, 269, 15579, 538, 1747, 593, 476, 1321, 343, 1240, 257, 3109, 1957, 609, 1507, 11746, 20061, 269, 8571, 519, 3662, 781, 4806, 593, 519, 3109, 1957, 543, 2681, 609, 11954, 25879, 269, 1530, 531, 609, 513, 4368, 894, 610, 4552, 4944, 2001, 269, 0, 289, 19272, 312, 19181, 18904, 13543, 670, 26041, 347, 18904, 7838, 3201, 8780, 21832, 306, 4041, 307, 9898, 670, 26041, 1923, 14959, 25723, 25758, 454, 2750, 1356, 14186, 689, 13343, 1230, 2784, 781, 454, 5228, 519, 4989, 476, 274, 267, 476, 1001, 277, 5240, 12072, 9783, 689, 670, 659, 328, 12629, 932, 545, 1156, 1763, 677, 22290, 932, 747, 26408, 898, 345, 5451, 22859, 1231, 267, 3844, 962, 1075, 520, 17505, 631, 32723, 311, 2975, 302, 454, 10933, 311, 2975, 3198, 11553, 27912, 14877, 623, 8008, 303, 312, 5455, 538, 7147, 693, 713, 942, 540, 1032, 649, 1031, 547, 23507, 519, 5835, 32704, 1229, 11204, 623, 4459, 569, 7377, 335, 625, 267, 8121, 294, 4932, 24535, 631, 13052, 32177, 2793, 267, 799, 547, 1082, 11570, 972, 941, 16339, 2213, 18047, 1317, 789, 941, 865, 838, 4176, 269, 27009, 1896, 11204, 623, 4459, 569, 7377, 335, 625, 11214, 723, 22983, 513, 5544, 5063, 23498, 547, 1118, 513, 18736, 2603, 267, 543, 519, 8436, 594, 4312, 3144, 547, 3100, 873, 2356, 1265, 873, 865, 10694, 602, 789, 26882, 513, 8666, 610, 1079, 269, 12989, 267, 596, 666, 1294, 835, 4171, 4212, 20695, 5835, 19806, 558, 16657, 338, 538, 6640, 7943, 912, 288, 2673, 5346, 540, 519, 8768, 781, 9703, 267, 10023, 513, 12636, 268, 1301, 1819, 9065, 776, 547, 5529, 609, 513, 27967, 267, 26070, 29744, 16663, 267, 543, 11303, 676, 1082, 26176, 839, 609, 5835, 267, 19337, 6438, 606, 750, 338, 24590, 547, 5305, 14947, 267, 568, 3254, 2630, 912, 8601, 519, 2249, 262, 4408, 267, 621, 781, 15458, 1141, 11204, 623, 4459, 569, 7377, 335, 625, 8385, 3357, 689, 267, 585, 1631, 789, 2811, 3262, 2429, 1034, 540, 519, 1158, 781, 21050, 923, 543, 5705, 1886, 923, 269, 3767, 1877, 798, 6705, 543, 678, 4545, 1667, 899, 873, 267, 543, 621, 781, 711, 1152, 585, 741, 533, 4459, 17349, 269, 1280, 835, 3364, 267, 789, 3132, 6464, 602, 29472, 6079, 23286, 543, 6079, 1782, 2208, 540, 1082, 16916, 2371, 267, 513, 7613, 1634, 607, 10246, 331, 14527, 269, 15053, 995, 10246, 331, 24403, 2360, 540, 11204, 623, 4459, 569, 7377, 335, 625, 723, 1044, 13006, 593, 23286, 543, 6079, 1782, 25525, 540, 10568, 267, 28401, 267, 22408, 32758, 267, 16603, 267, 29475, 543, 1082, 824, 3730, 2371, 563, 8601, 782, 602, 267, 1034, 3817, 593, 519, 5769, 7282, 11204, 623, 4459, 569, 7377, 6853, 4308, 609, 519, 2030, 781, 16392, 543, 2618, 582, 13116, 3096, 269, 2368, 1004, 8673, 519, 3762, 547, 1745, 17159, 610, 723, 1164, 338, 540, 1585, 5686, 267, 519, 2360, 1373, 2147, 547, 1346, 540, 1566, 1756, 267, 519, 14956, 1756, 7377, 6853, 1373, 538, 519, 1482, 1920, 607, 533, 4459, 569, 1402, 335, 625, 269, 6792, 781, 25069, 14369, 1031, 713, 2249, 14916, 538, 12738, 269, 769, 2221, 781, 3075, 2528, 267, 930, 2543, 11204, 623, 4459, 569, 7377, 6853, 607, 513, 834, 974, 12329, 2030, 2437, 513, 2030, 4171, 946, 1266, 11367, 2620, 5813, 269, 769, 519, 12144, 267, 726, 7539, 1500, 689, 519, 2030, 616, 1031, 547, 4894, 530, 11301, 269, 769, 1249, 267, 519, 2030, 9060, 782, 5686, 540, 3096, 538, 1082, 4529, 2429, 519, 1158, 269, 0, 1432, 616, 11711, 19457, 15789, 454, 2791, 949, 723, 4862, 5063, 538, 519, 2046, 827, 3758, 4687, 3292, 593, 519, 5769, 269, 11711, 4687, 3292, 1450, 2780, 547, 2671, 6119, 630, 16443, 545, 267, 2592, 267, 9413, 264, 543, 1344, 936, 519, 5769, 610, 17978, 269, 634, 1101, 1982, 547, 6318, 519, 9043, 540, 3758, 4687, 3292, 729, 13845, 3122, 799, 729, 2813, 538, 476, 1960, 280, 676, 1744, 11921, 674, 8911, 267, 513, 17368, 14665, 2160, 15938, 267, 945, 5206, 13845, 3122, 607, 513, 1507, 12463, 274, 6879, 2130, 3498, 269, 4033, 2442, 3758, 4687, 3292, 616, 19594, 18704, 267, 700, 830, 2264, 267, 20673, 12711, 543, 717, 18133, 7578, 269, 0, 2005, 4992, 865, 2241, 269, 31245, 540, 968, 311, 892, 630, 9767, 6445, 538, 519, 10145, 264, 616, 2469, 909, 1932, 3728, 267, 865, 1577, 779, 1780, 513, 1876, 602, 786, 1832, 5777, 1524, 563, 1103, 1715, 3840, 267, 621, 779, 10519, 1852, 269, 769, 476, 4572, 271, 267, 2230, 729, 693, 513, 14167, 593, 24607, 6816, 267, 865, 1946, 711, 1832, 10519, 338, 1524, 676, 8429, 513, 1876, 602, 5036, 519, 3902, 286, 634, 1267, 286, 589, 2540, 6040, 267, 18348, 1062, 602, 1312, 11479, 909, 519, 1942, 540, 1875, 268, 1370, 22306, 6306, 906, 543, 5932, 513, 3109, 2344, 1141, 1004, 24648, 958, 1780, 2059, 10519, 22306, 6306, 906, 547, 1866, 563, 1103, 519, 476, 3192, 271, 338, 267, 513, 7294, 2229, 4542, 585, 14499, 3282, 3366, 547, 3154, 22520, 543, 1279, 3515, 693, 519, 15450, 563, 1103, 27816, 267, 621, 779, 519, 968, 293, 1515, 31245, 2920, 892, 540, 476, 1001, 275, 267, 950, 519, 31012, 2229, 267, 9624, 19856, 656, 10637, 267, 17049, 7443, 19114, 540, 2596, 5370, 2362, 982, 476, 1789, 2600, 269, 2334, 3361, 21472, 22520, 267, 3056, 547, 27632, 1824, 538, 519, 10754, 543, 1004, 581, 21794, 585, 1426, 678, 725, 269, 769, 1249, 267, 972, 616, 19421, 540, 1806, 2429, 1686, 538, 799, 2229, 729, 1031, 547, 1852, 5777, 563, 7212, 891, 3292, 3357, 538, 1082, 5546, 543, 7306, 267, 789, 782, 1185, 835, 3364, 538, 1455, 281, 1358, 723, 2760, 5249, 538, 519, 1259, 789, 941, 5497, 563, 21953, 267, 519, 4245, 540, 1686, 1611, 4986, 547, 1346, 945, 1616, 1004, 547, 3494, 602, 952, 1152, 649, 1223, 20818, 3902, 8060, 593, 13310, 5061, 267, 3025, 1223, 1205, 519, 5061, 789, 991, 693, 606, 10097, 3902, 269, 1924, 267, 2899, 1586, 267, 9086, 568, 1373, 5189, 547, 1711, 513, 2229, 2173, 663, 730, 5943, 585, 14499, 5061, 269, 901, 9086, 267, 711, 19599, 23032, 538, 519, 14130, 676, 1582, 17393, 8282, 24180, 12672, 773, 9995, 619, 267, 4992, 899, 621, 779, 513, 22480, 4674, 547, 1450, 24310, 547, 968, 10864, 582, 5573, 892, 5777, 585, 922, 3487, 667, 3075, 6142, 1982, 563, 3719, 513, 1413, 896, 519, 26372, 540, 713, 8799, 21743, 1286, 2982, 602, 891, 968, 10864, 582, 9911, 892, 616, 547, 581, 9141, 676, 2229, 31433, 602, 2322, 5061, 883, 1114, 6688, 269, 3973, 267, 952, 891, 968, 10864, 582, 9911, 892, 616, 968, 12584, 22066, 2223, 519, 2229, 5036, 968, 6420, 3724, 5777, 892, 602, 786, 581, 7550, 8850, 563, 1103, 824, 1913, 267, 3902, 8060, 269, 9214, 323, 4601, 267, 891, 968, 6420, 3724, 5777, 892, 786, 581, 4956, 998, 513, 7294, 4542, 602, 2882, 5777, 538, 4914, 2477, 267, 476, 1015, 2818, 540, 519, 9257, 585, 9483, 29046, 543, 4886, 609, 2147, 24162, 23582, 15733, 829, 21027, 269, 898, 568, 849, 4502, 15663, 602, 4352, 891, 18747, 616, 9141, 676, 519, 1164, 1942, 540, 930, 1007, 968, 332, 4275, 2193, 892, 5061, 267, 602, 568, 1175, 606, 28195, 547, 2322, 1034, 5061, 896, 713, 3902, 1852, 12512, 563, 4322, 14565, 616, 782, 1759, 593, 513, 7301, 23350, 267, 602, 1007, 7760, 538, 4915, 786, 3136, 267, 543, 782, 602, 2229, 814, 547, 798, 568, 6430, 1018, 3902, 1058, 581, 6976, 585, 873, 269, 769, 1249, 267, 519, 1390, 8441, 649, 723, 2938, 538, 22215, 3978, 3676, 723, 1152, 2097, 1310, 17542, 540, 9489, 540, 1382, 936, 1082, 1296, 563, 27269, 267, 513, 1007, 3075, 1281, 711, 3443, 856, 538, 4255, 543, 3549, 723, 547, 979, 1394, 547, 519, 5373, 4604, 543, 2119, 1586, 269, 1403, 693, 519, 1439, 540, 713, 4155, 267, 3902, 8060, 17225, 519, 2702, 540, 891, 5499, 3549, 547, 1205, 513, 2132, 593, 741, 5092, 267, 621, 786, 23366, 1267, 538, 513, 19385, 766, 547, 1118, 602, 3355, 5092, 563, 2467, 616, 2477, 602, 723, 8045, 4049, 3902, 8060, 593, 5061, 269, 17823, 1399, 1296, 540, 8959, 24180, 2804, 4507, 602, 6854, 3127, 538, 6710, 2394, 789, 3323, 6679, 909, 741, 4346, 723, 711, 11074, 873, 689, 7311, 1346, 8959, 4507, 547, 519, 3902, 540, 5061, 269, 634, 14499, 1062, 568, 2196, 676, 519, 6481, 7027, 540, 3127, 267, 513, 711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 781, 1353, 538, 13677, 3506, 267, 543, 7905, 14088, 31133, 528, 534, 781, 11173, 960, 538, 519, 2136, 2276, 543, 10430, 723, 782, 6700, 602, 4259, 568, 16609, 563, 4913, 267, 519, 9962, 3390, 568, 15983, 602, 540, 875, 1565, 3217, 1747, 267, 2864, 982, 538, 1018, 2186, 540, 1362, 621, 3217, 1747, 269, 1284, 1631, 917, 513, 1390, 4308, 827, 875, 1480, 7919, 1451, 269, 1284, 917, 267, 1932, 267, 602, 2757, 18765, 540, 4987, 941, 18106, 543, 12145, 269, 1284, 917, 602, 519, 1480, 2634, 568, 834, 7116, 16666, 257, 543, 602, 4255, 799, 8806, 2268, 1141, 513, 20194, 568, 693, 519, 1459, 1510, 3843, 547, 3313, 1010, 610, 1200, 1761, 267, 616, 2693, 547, 2285, 3908, 267, 543, 12145, 267, 1344, 563, 2252, 4259, 267, 29577, 539, 610, 6382, 267, 568, 547, 1831, 519, 2343, 267, 621, 2864, 5267, 602, 649, 607, 7855, 616, 5423, 547, 2322, 12438, 1049, 3435, 1657, 24099, 2994, 538, 3843, 547, 6318, 9740, 585, 782, 563, 13146, 7835, 971, 607, 4879, 568, 585, 1565, 267, 7258, 2093, 6508, 689, 519, 3206, 1983, 3350, 267, 3100, 547, 803, 547, 2709, 513, 811, 24084, 2989, 1305, 540, 5380, 593, 519, 4161, 540, 9870, 9740, 585, 782, 269, 589, 15099, 585, 28742, 3091, 513, 2070, 540, 519, 2104, 1141, 1565, 2864, 982, 8429, 11400, 568, 519, 4909, 6662, 540, 3506, 563, 5629, 649, 1930, 938, 4064, 547, 713, 7872, 267, 1287, 519, 991, 585, 4259, 4667, 1447, 1271, 982, 4180, 602, 782, 1762, 1004, 267, 2324, 538, 5698, 609, 741, 3610, 267, 741, 8284, 10453, 543, 741, 3237, 267, 666, 581, 6462, 547, 29311, 741, 1761, 607, 6267, 563, 2467, 568, 1932, 1454, 2963, 540, 513, 829, 5371, 1190, 267, 1582, 268, 995, 325, 3739, 28897, 267, 3226, 538, 519, 2539, 5036, 267, 585, 721, 547, 581, 8746, 540, 519, 2640, 540, 4259, 269, 12344, 1018, 649, 991, 568, 547, 1847, 593, 689, 519, 4259, 8957, 6404, 268, 1464, 7521, 543, 1265, 1007, 2081, 540, 2502, 782, 10453, 865, 602, 789, 1831, 267, 538, 519, 1893, 540, 589, 15099, 585, 28742, 267, 3811, 6267, 267, 8746, 2043, 267, 2500, 20334, 543, 3743, 4961, 563, 289, 6929, 15196, 323, 7905, 540, 4065, 5899, 987, 322, 569, 1372, 2160, 0, 295, 619, 327, 4897, 26858, 670, 2255, 630, 8146, 278, 268, 4572, 271, 994, 6642, 274, 22335, 269, 910, 630, 3849, 4765, 4924, 1421, 476, 1001, 273, 994, 14532, 540, 7345, 6019, 267, 12309, 910, 476, 6642, 274, 563, 295, 2177, 269, 670, 8991, 290, 4047, 299, 670, 269, 670, 2969, 6224, 1421, 12223, 13090, 454, 1993, 7345, 4975, 267, 4759, 540, 6837, 689, 519, 570, 5460, 6837, 1308, 10588, 267, 729, 4535, 538, 24261, 6807, 267, 23885, 3213, 1421, 715, 269, 962, 1421, 5988, 476, 1704, 267, 476, 8146, 278, 269, 634, 1995, 540, 1010, 2038, 1272, 941, 2147, 547, 1346, 540, 519, 3328, 1977, 6107, 540, 602, 1554, 269, 1261, 729, 6923, 801, 1190, 543, 16529, 267, 543, 4607, 519, 1655, 2069, 513, 7911, 1223, 5150, 689, 519, 1857, 3506, 540, 1010, 5065, 8498, 543, 689, 519, 6044, 540, 1010, 4651, 269, 1879, 646, 3357, 547, 6430, 2390, 513, 1272, 13287, 267, 646, 8359, 519, 1876, 543, 729, 15861, 547, 519, 1876, 8257, 540, 16803, 5441, 267, 689, 799, 646, 21783, 538, 476, 6977, 280, 269, 1261, 1287, 8118, 606, 5604, 543, 3459, 519, 2259, 540, 1876, 538, 1010, 5065, 8498, 267, 1141, 646, 7283, 2394, 476, 5908, 279, 269, 769, 4728, 522, 602, 1032, 646, 3357, 547, 7345, 4975, 267, 543, 519, 1482, 3923, 2968, 2404, 609, 21469, 3057, 8725, 538, 519, 2259, 540, 1876, 269, 634, 1985, 1032, 6276, 21960, 2284, 729, 15861, 547, 519, 6109, 267, 799, 1287, 2968, 21960, 2284, 267, 3057, 8725, 1299, 670, 2255, 269, 769, 827, 513, 1032, 6004, 269, 21960, 2284, 19622, 267, 543, 519, 6109, 540, 3057, 8725, 1299, 670, 2255, 4797, 267, 543, 729, 6444, 607, 835, 540, 519, 3056, 1876, 10909, 538, 519, 1533, 269, 901, 6109, 729, 15702, 607, 676, 519, 9550, 540, 6004, 269, 3057, 8725, 547, 519, 10966, 7040, 538, 476, 6942, 276, 269, 6004, 269, 670, 2255, 729, 835, 540, 519, 1101, 620, 323, 1069, 320, 523, 540, 7345, 4975, 267, 1373, 11221, 547, 602, 2990, 593, 751, 25465, 540, 519, 2749, 538, 476, 5908, 276, 269, 769, 519, 2887, 540, 476, 5908, 279, 646, 729, 11221, 9794, 540, 2625, 622, 540, 7345, 10315, 267, 543, 4371, 519, 5604, 2394, 476, 6942, 273, 269, 769, 476, 6942, 275, 267, 519, 22694, 1155, 2348, 9859, 29583, 269, 20045, 2917, 547, 6966, 513, 10243, 547, 23590, 543, 993, 323, 754, 519, 11156, 267, 543, 6004, 269, 670, 2255, 2348, 6591, 513, 1533, 10639, 607, 513, 15818, 267, 646, 729, 5697, 676, 29583, 269, 20045, 2917, 607, 835, 540, 519, 29933, 10243, 619, 547, 1685, 519, 960, 267, 29583, 269, 7603, 727, 1373, 1010, 26393, 689, 519, 32371, 514, 1177, 8664, 269, 769, 476, 6642, 272, 646, 729, 835, 540, 519, 2947, 10243, 619, 12912, 676, 519, 17135, 267, 896, 519, 3915, 5293, 676, 519, 22694, 1155, 547, 23590, 519, 3454, 4031, 540, 12309, 269, 634, 1459, 3454, 1876, 568, 519, 960, 540, 602, 10243, 267, 540, 799, 6004, 269, 670, 2255, 729, 513, 3056, 543, 9565, 4759, 269, 1261, 814, 4371, 1585, 824, 7158, 540, 3972, 543, 3310, 267, 543, 2523, 538, 3872, 6927, 646, 814, 2141, 3144, 606, 3742, 1719, 543, 814, 2944, 1454, 4724, 741, 13120, 269, 2755, 6004, 269, 670, 2255, 814, 1044, 3592, 11179, 538, 1857, 3028, 267, 646, 814, 2760, 1044, 2808, 513, 22267, 538, 519, 4122, 7608, 2495, 540, 602, 2165, 269, 3571, 20440, 543, 19367, 723, 1044, 9859, 547, 1010, 3924, 267, 538, 799, 646, 568, 6444, 607, 835, 540, 519, 3056, 17864, 538, 12309, 267, 543, 814, 1044, 2404, 609, 930, 540, 519, 1034, 1271, 2665, 602, 723, 818, 17470, 538, 713, 851, 540, 519, 1533, 269, 1261, 568, 513, 812, 540, 1390, 1648, 267, 543, 568, 513, 2182, 11832, 267, 1312, 607, 513, 2875, 543, 19995, 269, 1261, 4865, 1082, 6825, 4162, 267, 7986, 1851, 799, 616, 3375, 540, 10886, 267, 543, 1463, 1145, 540, 4633, 543, 2962, 269, 769, 519, 12096, 540, 476, 6642, 273, 646, 4309, 519, 9930, 1588, 540, 11724, 894, 538, 6837, 267, 689, 519, 25743, 540, 519, 570, 5460, 10588, 267, 543, 530, 338, 11221, 676, 513, 5354, 607, 9670, 1804, 607, 621, 729, 25685, 547, 5128, 543, 2797, 2828, 269, 1261, 729, 9310, 538, 4873, 267, 476, 5908, 275, 267, 693, 24261, 6807, 267, 715, 269, 962, 1421, 547, 7323, 11875, 534, 661, 269, 670, 32080, 267, 540, 602, 1747, 269, 1358, 723, 2185, 1453, 269, 4256, 1920, 15335, 568, 593, 519, 7944, 540, 570, 5460, 543, 6115, 6790, 1115, 563, 4489, 275, 267, 6355, 12713, 1421, 2882, 5067, 267, 8176, 670, 269, 630, 3849, 4765, 4239, 1421, 476, 1220, 279, 994, 763, 3883, 540, 24354, 619, 267, 676, 15751, 20307, 3057, 638, 529, 630, 4489, 275, 994, 295, 619, 327, 4897, 26858, 670, 2255, 476, 9339, 454, 295, 2969, 6224, 267, 670, 619, 322, 3559, 26858, 267, 19622, 282, 4535, 267, 24261, 6807, 267, 715, 269, 962, 1421, 4924, 269, 476, 1704, 267, 476, 8146, 278, 282, 5067, 540, 25840, 28243, 543, 4498, 28625, 630, 289, 1157, 24274, 264, 670, 2255, 282, 13473, 538, 30028, 538, 1715, 3840, 282, 6594, 1876, 693, 16803, 5441, 4521, 3427, 267, 22735, 267, 715, 269, 962, 1421, 896, 7905, 31187, 654, 269, 667, 342, 697, 267, 4271, 908, 267, 700, 11482, 11065, 1421, 5463, 1421, 476, 6977, 278, 282, 9310, 693, 24261, 6807, 267, 715, 269, 962, 1421, 4873, 476, 2641, 267, 476, 5908, 275, 267, 4432, 21289, 661, 269, 670, 32080, 282, 476, 276, 1453, 281, 8176, 670, 269, 24682, 31130, 700, 1421, 7705, 630, 300, 3464, 269, 22110, 2023, 681, 269, 13177, 267, 540, 17131, 611, 6511, 267, 2836, 13776, 25014, 773, 589, 269, 630, 1372, 576, 1078, 1070, 7671, 589, 269, 23548, 534, 2259, 693, 24261, 6807, 267, 4924, 1421, 476, 6977, 279, 282, 6569, 547, 7345, 4975, 267, 5760, 1421, 476, 5908, 274, 282, 4759, 540, 6109, 540, 3057, 8725, 1299, 670, 2255, 267, 7345, 4975, 267, 476, 5908, 274, 268, 10619, 267, 670, 2255, 1299, 3213, 1961, 344, 267, 7345, 4975, 267, 585, 811, 982, 8938, 1296, 282, 13736, 538, 24354, 267, 476, 6245, 276, 268, 4489, 272, 630, 4958, 1600, 1040, 16588, 8274, 540, 4065, 267, 7345, 4975, 267, 585, 1082, 1296, 282, 4759, 1101, 5871, 7027, 267, 7345, 4975, 267, 476, 5908, 276, 282, 9794, 540, 2625, 622, 267, 7345, 6019, 282, 4759, 25799, 8189, 540, 12309, 267, 476, 6942, 274, 282, 4759, 10243, 547, 23590, 3454, 4031, 267, 476, 6642, 273, 282, 4759, 540, 6837, 267, 476, 6642, 274, 268, 276, 269, 16588, 24354, 543, 12309, 3557, 4446, 12205, 269, 1763, 2064, 281, 476, 2190, 21482, 573, 589, 557, 563, 265, 670, 2969, 6224, 267, 8176, 670, 1421, 15818, 282, 4535, 267, 7345, 4975, 267, 5760, 1421, 8734, 269, 476, 2420, 267, 476, 5908, 277, 267, 5067, 540, 670, 619, 322, 3559, 670, 269, 543, 4432, 21289, 661, 269, 670, 32080, 264, 670, 2255, 282, 13473, 538, 7345, 4975, 1857, 3506, 267, 4271, 908, 689, 519, 1164, 1153, 267, 476, 6642, 275, 267, 543, 2160, 540, 12309, 267, 4110, 540, 645, 2529, 1421, 476, 6642, 279, 282, 9310, 693, 1715, 670, 13273, 267, 1230, 333, 1421, 3967, 269, 476, 275, 267, 476, 6245, 275, 267, 15576, 344, 670, 269, 717, 1077, 282, 1453, 281, 9253, 6807, 670, 1421, 21238, 717, 269, 23548, 534, 2259, 693, 7345, 4975, 267, 476, 6245, 272, 282, 6410, 547, 24354, 267, 5147, 476, 6245, 276, 282, 814, 1044, 2404, 609, 670, 269, 645, 269, 3400, 1407, 2094, 476, 6245, 280, 269, 10615, 4975, 700, 3784, 3213, 1421, 6239, 11272, 3213, 269, 16588, 5948, 4446, 4975, 540, 24354, 267, 4521, 9807, 781, 11833, 269, 17044, 269, 11833, 281, 2160, 269, 28046, 281, 2542, 269, 8433, 281, 30623, 1180, 645, 671, 326, 269, 1763, 2064, 281, 476, 4200, 26609, 589, 557, 563, 4572, 271, 12713, 1421, 7732, 540, 6837, 269, 630, 3849, 4765, 9947, 1421, 476, 1220, 276, 994, 299, 3869, 540, 6837, 22335, 454, 295, 2969, 6224, 267, 670, 619, 322, 3559, 26858, 267, 513, 11724, 894, 689, 12309, 3248, 9799, 538, 24261, 6807, 267, 23885, 6019, 267, 715, 28629, 1421, 5988, 476, 1704, 267, 476, 8146, 278, 3248, 3430, 2105, 519, 1455, 3506, 543, 729, 21783, 689, 16803, 5441, 4521, 3427, 267, 22735, 267, 715, 28629, 1421, 538, 476, 6977, 278, 3248, 13195, 15861, 547, 519, 3046, 543, 13736, 538, 24261, 6807, 267, 715, 28629, 1421, 476, 6977, 279, 268, 5908, 274, 3248, 332, 3437, 547, 7345, 4975, 267, 5760, 269, 3248, 19491, 539, 620, 323, 9007, 540, 7345, 4975, 693, 922, 1101, 3919, 538, 476, 5908, 276, 3248, 9080, 613, 540, 2625, 622, 540, 7345, 6019, 476, 5908, 279, 268, 6942, 273, 3248, 332, 1897, 540, 519, 13338, 10243, 540, 12309, 538, 476, 6942, 274, 3248, 332, 1897, 540, 519, 3454, 10243, 538, 476, 6642, 272, 3248, 19491, 539, 607, 513, 17044, 547, 519, 10783, 344, 3887, 12915, 6837, 630, 18550, 476, 275, 267, 476, 6642, 274, 5336, 1105, 476, 274, 267, 476, 6642, 276, 11850, 1372, 743, 1441, 547, 581, 513, 11134, 585, 15646, 558, 1588, 538, 476, 6642, 275, 3248, 637, 25390, 519, 2259, 540, 1876, 3248, 332, 3437, 547, 24354, 267, 5760, 1421, 538, 476, 6245, 276, 543, 13736, 1876, 2394, 476, 4489, 271, 267, 950, 646, 19622, 3248, 323, 1221, 538, 24354, 267, 5760, 1421, 5437, 476, 1789, 267, 476, 4572, 271, 3248, 5793, 618, 538, 4432, 332, 4521, 333, 30895, 267, 7345, 4975, 267, 5760, 563, 300, 1897, 540, 519, 25799, 8189, 540, 12309, 538, 476, 6942, 274, 3248, 663, 4759, 540, 6837, 267, 476, 6642, 274, 268, 276, 269, 12984, 4535, 693, 24261, 6807, 267, 715, 269, 962, 1421, 4924, 269, 476, 1704, 267, 476, 8146, 278, 269, 1261, 4607, 1455, 1153, 2866, 2394, 476, 6977, 277, 267, 950, 646, 9411, 519, 1876, 1153, 693, 16803, 5441, 267, 715, 269, 962, 269, 1261, 21783, 538, 476, 6977, 280, 267, 543, 729, 693, 2899, 15861, 547, 519, 3046, 269, 1261, 13736, 1876, 538, 1010, 5065, 10315, 2394, 476, 5908, 274, 267, 950, 646, 6569, 547, 7345, 4975, 267, 1141 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2486, 543, 4346, 269, 4317, 543, 9483, 31664, 540, 4132, 18816, 543, 10598, 937, 2937, 6309, 514, 1275, 267, 543, 15400, 2790, 1072, 2042, 269, 5637, 1463, 543, 9940, 3790, 1764, 938, 2486, 543, 4346, 269, 1520, 2091, 19974, 23800, 630, 19781, 264, 15863, 269, 19750, 4948, 2200, 585, 2937, 15000, 540, 2168, 267, 4638, 543, 5924, 3929, 6689, 6057, 610, 10714, 269, 3171, 527, 523, 936, 1530, 802, 826, 601, 717, 1168, 15505, 595, 14371, 2529, 20166, 269, 2913, 781, 723, 606, 9237, 4339, 1996, 1126, 3023, 6057, 269, 20465, 4258, 527, 267, 681, 9950, 269, 1299, 6154, 11770, 267, 808, 12282, 269, 634, 7799, 14591, 540, 513, 18370, 8826, 5530, 540, 6490, 1559, 585, 4132, 20351, 18816, 4586, 663, 4706, 10020, 538, 15850, 1143, 543, 24251, 269, 634, 2360, 540, 1126, 6057, 723, 7096, 12214, 267, 5289, 267, 3929, 267, 543, 1514, 4539, 602, 616, 5645, 609, 519, 6408, 585, 519, 1964, 540, 741, 2729, 269, 8479, 518, 4658, 3657, 693, 519, 11612, 4554, 11485, 540, 20351, 20222, 563, 288, 2471, 616, 519, 5207, 1981, 1296, 585, 22149, 543, 4638, 14213, 563, 274, 8409, 2085, 476, 4792, 543, 4587, 616, 476, 10844, 260, 1447, 2693, 982, 1032, 31545, 547, 581, 513, 6408, 540, 22149, 610, 4638, 14213, 267, 543, 476, 10695, 260, 1447, 2693, 982, 1032, 31545, 269, 476, 275, 3367, 811, 7194, 827, 827, 1126, 4638, 6057, 563, 11847, 2176, 540, 4638, 14213, 338, 693, 519, 1614, 4108, 3537, 12562, 1147, 3022, 676, 811, 982, 476, 2004, 2600, 538, 519, 1153, 1032, 267, 543, 20286, 540, 4638, 18275, 849, 838, 27419, 267, 2687, 547, 6054, 12649, 676, 634, 23105, 4964, 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 ]
[ 17630, 281, 772, 928, 691, 1117, 538, 519, 12021, 17576, 15183, 540, 5842, 17630, 6019, 267, 713, 11909, 4663, 7356, 710, 267, 20604, 936, 476, 6110, 1286, 1846, 267, 568, 1851, 519, 1158, 779, 4102, 540, 922, 2186, 269, 5842, 17630, 779, 15183, 723, 1279, 1044, 4583, 585, 741, 27610, 11909, 543, 3039, 4663, 7356, 1149, 563, 268, 634, 595, 1638, 514, 534, 9791, 27339, 281, 7880, 3215, 689, 519, 17909, 540, 4993, 779, 15183, 267, 713, 14776, 267, 3957, 538, 4630, 720, 547, 519, 11599, 595, 1638, 514, 534, 27339, 267, 546, 9579, 956, 609, 922, 3638, 4544, 27280, 269, 4706, 6602, 556, 3530, 3305, 539, 4993, 607, 513, 13398, 585, 3309, 17576, 18429, 3564, 4154, 563, 268, 634, 717, 10008, 987, 12275, 6339, 281, 5853, 31314, 538, 519, 23683, 21600, 15142, 267, 713, 2594, 1606, 23293, 620, 332, 663, 710, 6095, 6339, 26693, 936, 476, 280, 267, 1822, 1286, 1846, 269, 634, 6095, 6339, 779, 22406, 2450, 543, 29814, 2298, 1118, 621, 513, 14952, 540, 4993, 779, 7777, 16479, 29667, 344, 563, 268, 634, 2578, 27812, 5484, 17010, 924, 281, 18270, 908, 4993, 779, 1298, 27812, 267, 713, 20498, 4544, 17576, 267, 20604, 476, 1428, 269, 5655, 1286, 1846, 267, 568, 519, 4102, 1634, 2759, 1649, 17010, 924, 267, 519, 1533, 17576, 540, 4993, 269, 5494, 2642, 538, 519, 6552, 4144, 32631, 16186, 267, 922, 21048, 4979, 729, 513, 15266, 547, 519, 3148, 779, 2189, 20569, 563, 268, 634, 808, 1228, 11076, 7066, 9778, 281, 853, 4958, 4221, 2059, 519, 23795, 540, 8262, 5080, 267, 713, 3148, 814, 26857, 3875, 26669, 1679, 795, 1228, 15013, 267, 930, 20604, 7366, 540, 6550, 269, 1358, 4196, 607, 513, 12576, 540, 4993, 779, 3638, 7286, 17027, 21272, 563, 268, 634, 3026, 696, 684, 924, 4563, 10060, 281, 6987, 26167, 689, 519, 17909, 540, 5842, 5484, 17010, 6019, 267, 713, 10875, 3109, 17576, 267, 609, 922, 5182, 11057, 3444, 16687, 267, 568, 711, 1175, 513, 14952, 547, 1531, 1245, 855, 849, 8711, 519, 1858, 779, 2189, 25136, 23402, 7725, 563, 268, 634, 674, 878, 582, 715, 1872, 1326, 281, 1284, 662, 532, 476, 1724, 269, 279, 6550, 267, 713, 568, 519, 4102, 26543, 4154, 562, 1872, 1326, 1869, 538, 6228, 689, 4993, 779, 7108, 27538, 5736, 269, 5494, 2642, 538, 476, 5908, 276, 267, 621, 5713, 607, 513, 1350, 626, 2287, 882, 545, 540, 513, 676, 19079, 5736, 540, 4154, 8611, 543, 3408, 563, 4322, 8941, 540, 6602, 267, 1247, 10223, 519, 1533, 779, 5318, 17027, 5763, 267, 849, 20838, 519, 6891, 540, 3408, 267, 16177, 267, 543, 4898, 602, 814, 2141, 3989, 4993, 779, 17576, 21962, 269, 3962, 1265, 267, 2436, 26832, 538, 2450, 610, 796, 3901, 3481, 538, 2298, 267, 8591, 513, 695, 20810, 532, 3184, 547, 4993, 779, 3879, 686, 748, 17576, 7723, 9371, 563, 21206, 26155, 14086, 19662, 454, 309, 550, 1005, 3564, 4993, 779, 10665, 267, 15231, 2829, 849, 939, 330, 517, 609, 741, 2189, 20569, 543, 9153, 540, 17576, 7723, 8906, 269, 3371, 779, 513, 19214, 883, 1018, 891, 2829, 723, 547, 2709, 912, 268, 21600, 26155, 14086, 281, 10705, 17941, 519, 968, 22068, 591, 3557, 892, 1813, 547, 922, 3638, 8988, 12074, 267, 21600, 849, 19646, 513, 3099, 540, 17576, 18429, 267, 1519, 2881, 638, 18857, 267, 21959, 1115, 267, 543, 1566, 1023, 267, 2523, 538, 2127, 899, 519, 7910, 9503, 563, 268, 14822, 26155, 14086, 281, 634, 7414, 19566, 17576, 602, 568, 14822, 20502, 513, 16221, 540, 16782, 689, 3141, 18429, 538, 519, 1773, 2313, 3148, 547, 519, 4241, 555, 1495, 699, 1375, 338, 16559, 2066, 519, 1533, 563, 268, 14151, 26155, 14086, 281, 19612, 607, 513, 2101, 7601, 26148, 1533, 267, 14151, 779, 7777, 5763, 11498, 547, 829, 573, 582, 267, 993, 996, 22438, 267, 543, 519, 11451, 12021, 2881, 638, 18857, 689, 519, 3751, 2006, 543, 2859, 333, 857, 15183, 563, 268, 18096, 26155, 14086, 281, 589, 696, 569, 3957, 519, 968, 289, 2465, 327, 633, 3557, 5608, 18096, 568, 513, 554, 633, 540, 17027, 13300, 269, 3245, 519, 535, 30711, 2699, 536, 2044, 331, 547, 1283, 1794, 543, 15254, 4593, 924, 267, 519, 1533, 568, 513, 4224, 327, 895, 779, 27032, 563, 268, 645, 24652, 4993, 630, 300, 1410, 4815, 264, 26155, 14086, 281, 2755, 20248, 711, 513, 772, 2529, 269, 1533, 267, 713, 15231, 3148, 8843, 519, 4050, 1231, 983, 11585, 609, 4993, 269, 11412, 21077, 585, 922, 11909, 18287, 924, 543, 824, 6886, 267, 621, 779, 513, 17709, 10137, 585, 17576, 12439, 3695, 3564, 4993, 563, 4322, 2829, 267, 1142, 609, 922, 3982, 17027, 4162, 267, 1459, 513, 27795, 540, 17576, 10122, 3255, 267, 23429, 519, 13795, 540, 3345, 3013, 779, 7777, 16479, 4763, 563, 291, 633, 883, 519, 1158, 540, 17576, 5599, 609, 938, 3573, 26155, 14086, 14033, 2725, 3391, 585, 1283, 4388, 543, 6753, 563, 763, 700, 675, 540, 4993, 717, 2114, 543, 2311, 6953, 727, 24601, 454, 763, 13287, 540, 17576, 10122, 538, 4993, 568, 811, 982, 1175, 513, 1391, 585, 31394, 16782, 282, 621, 779, 513, 3460, 998, 519, 1533, 779, 6946, 13795, 540, 20569, 267, 1686, 267, 543, 2067, 5898, 269, 3245, 519, 27726, 1768, 23230, 540, 519, 23683, 21600, 15142, 547, 519, 3141, 1673, 27221, 21018, 540, 519, 7720, 329, 1511, 19164, 267, 1142, 3148, 4652, 584, 3149, 922, 2189, 5044, 540, 17576, 18429, 267, 4712, 547, 25407, 519, 2295, 540, 1169, 7045, 337, 563, 21953, 267, 1247, 519, 26497, 540, 6602, 538, 4993, 779, 3552, 338, 568, 26080, 267, 711, 3025, 814, 519, 17195, 547, 14679, 883, 891, 1768, 23230, 269, 9373, 519, 26155, 14086, 14173, 1107, 513, 11741, 14951, 9221, 602, 6770, 519, 10761, 540, 17576, 10122, 1318, 883, 707, 1753, 269, 13268, 539, 609, 513, 3575, 540, 8076, 17576, 18429, 713, 6539, 3091, 513, 17175, 4244, 585, 1346, 1032, 940, 547, 1995, 519, 4898, 540, 17576, 6602, 267, 782, 689, 519, 4313, 540, 741, 2713, 4055, 269, 898, 779, 519, 3501, 11100, 540, 2069, 267, 1187, 267, 543, 513, 6492, 540, 4993, 779, 3879, 686, 748, 17576, 11656, 9371, 269, 0, 20779, 565, 1431, 4125, 519, 24905, 1782, 540, 3889, 971, 607, 5656, 543, 13123, 610, 519, 2698, 9552, 540, 3889, 538, 519, 2013, 540, 5579, 657, 687, 269, 901, 1184, 666, 13599, 2417, 29801, 538, 519, 4070, 543, 10198, 540, 21934, 13783, 543, 2154, 519, 946, 540, 5230, 12227, 971, 607, 14155, 2209, 267, 4439, 671, 9926, 619, 267, 543, 519, 946, 540, 14885, 1161, 269, 5915, 565, 1431, 616, 1164, 16151, 3785, 799, 2154, 15984, 547, 7453, 3106, 10873, 543, 4808, 676, 4648, 538, 519, 2361, 563, 32391, 10495, 543, 12020, 454, 763, 1101, 543, 1034, 2565, 1900, 538, 1022, 23542, 819, 1788, 568, 519, 4879, 540, 1761, 4220, 3238, 269, 901, 3322, 606, 6268, 540, 519, 2679, 1374, 267, 4070, 2326, 1031, 267, 543, 519, 4478, 27177, 547, 1711, 513, 23542, 819, 1544, 602, 786, 2327, 3106, 1282, 519, 1184, 269, 29615, 12930, 942, 1058, 581, 3144, 547, 1544, 543, 1374, 519, 23542, 819, 1184, 585, 621, 547, 581, 13401, 3927, 543, 2841, 1836, 269, 1677, 3605, 3606, 543, 14911, 1344, 593, 519, 1641, 4988, 267, 649, 2461, 8149, 547, 3246, 513, 3638, 3872, 1995, 269, 4179, 2517, 933, 3620, 4954, 28022, 7933, 655, 565, 819, 3766, 805, 518, 2389, 528, 15193, 268, 19327, 270, 563, 6524, 519, 23542, 819, 5956, 267, 519, 3135, 1058, 581, 1202, 4624, 8499, 585, 1022, 13818, 2326, 971, 607, 20702, 267, 799, 1058, 581, 6569, 1354, 519, 1184, 5956, 269, 1403, 13818, 2326, 616, 20114, 1282, 519, 23542, 819, 1184, 267, 519, 3135, 1590, 581, 17956, 267, 543, 519, 2339, 17411, 24015, 609, 519, 2953, 3106, 10873, 547, 1832, 519, 3135, 2922, 585, 519, 4600, 563, 20779, 565, 819, 3785, 616, 711, 585, 993, 622, 2720, 610, 538, 23024, 27624, 4600, 269, 2353, 2043, 2324, 538, 23542, 819, 4609, 1590, 10929, 11826, 2866, 593, 3106, 10873, 543, 4808, 547, 2327, 741, 1134, 5630, 1282, 519, 1788, 269, 15526, 3238, 267, 689, 519, 1788, 9946, 547, 7127, 7400, 4600, 267, 1590, 581, 9280, 609, 519, 4143, 6791, 267, 1519, 875, 547, 6023, 5230, 12227, 267, 547, 2327, 2949, 3106, 1282, 519, 1788, 563, 13048, 292, 630, 23114, 13363, 633, 16811, 994, 23114, 8825, 3937, 568, 513, 13766, 538, 23542, 819, 3785, 547, 2149, 4600, 689, 1761, 10898, 971, 607, 10760, 11935, 267, 7452, 267, 6464, 267, 543, 824, 5906, 2326, 269, 13363, 633, 10591, 971, 607, 31238, 267, 17309, 267, 575, 17344, 956, 267, 543, 6711, 2209, 1058, 581, 12816, 693, 782, 2053, 1282, 513, 23542, 819, 1788, 269, 20709, 1058, 849, 581, 8036, 593, 875, 547, 946, 8825, 10591, 7157, 543, 1058, 581, 1202, 4624, 5781, 547, 6166, 602, 789, 616, 538, 1434, 2783, 563, 13420, 3612, 20904, 543, 6184, 18936, 454, 3891, 8283, 12227, 1031, 538, 23542, 819, 3785, 1058, 581, 18113, 9738, 543, 5781, 1202, 4624, 547, 2327, 789, 616, 538, 1434, 2783, 269, 8617, 5826, 2238, 1058, 849, 581, 5645, 856, 267, 543, 1022, 25768, 12227, 610, 2694, 1058, 581, 30465, 610, 8719, 16425, 547, 2057, 1022, 32657, 2355, 1282, 519, 23542, 819, 1184, 269, 898, 779, 1898, 547, 4497, 4648, 609, 519, 2877, 6791, 538, 519, 5826, 543, 7816, 540, 5230, 12227, 1031, 538, 23542, 819, 3785, 269, 3776, 3586, 2832, 568, 547, 10802, 707, 3872, 3460, 269, 1280, 713, 2601, 267, 649, 2303, 3695, 713, 5007, 3135, 5627, 811, 3877, 593, 519, 1888, 269, 23542, 819, 2533, 4179, 2517, 933, 3620, 4954, 28022, 7933, 655, 565, 819, 3766, 805, 518, 2389, 528, 15193, 268, 19327, 32551, 3605, 543, 4228, 707, 1702, 2336, 2005, 779, 2629, 585, 23542, 819, 3549, 547, 15666, 547, 7453, 3106, 10873, 543, 4808, 1282, 23542, 819, 3785, 547, 2327, 519, 3106, 540, 782, 10986, 3238, 269, 634, 1184, 3340, 606, 6268, 540, 1761, 4220, 267, 7850, 4058, 267, 15984, 547, 3106, 2866, 543, 6042, 267, 689, 623, 14154, 267, 543, 3937, 5826, 543, 14791, 269, 5915, 565, 819, 3549, 1590, 4497, 4810, 543, 19579, 4648, 538, 741, 4058, 267, 1374, 267, 543, 11056, 540, 23542, 819, 3785, 547, 2327, 3106, 2429, 519, 1184, 563, 9596, 1256, 811, 609, 519, 1644, 6402, 649, 4363, 281, 0, 763, 772, 2529, 269, 631, 842, 786, 5305, 513, 804, 611, 3368, 13362, 267, 513, 8988, 13362, 543, 513, 1269, 276, 4154, 11777, 547, 8956, 519, 476, 1911, 628, 7788, 15208, 540, 519, 15713, 540, 519, 1977, 6181, 542, 269, 1160, 12923, 689, 519, 3126, 786, 948, 1489, 519, 5571, 3646, 540, 835, 540, 519, 1034, 9976, 1977, 30543, 2479, 2813, 563, 2690, 5215, 540, 1296, 267, 1004, 723, 1044, 679, 600, 1819, 609, 4154, 267, 513, 4496, 602, 568, 3335, 5393, 2352, 547, 3489, 538, 1713, 9424, 269, 769, 2487, 5553, 267, 519, 6602, 540, 4154, 267, 1419, 538, 3768, 324, 975, 539, 543, 796, 326, 1478, 2740, 6753, 267, 814, 4547, 2527, 9194, 540, 1004, 5275, 547, 1205, 3638, 16074, 269, 1773, 27468, 4154, 267, 610, 4154, 602, 666, 581, 5833, 538, 1507, 9424, 609, 25229, 21747, 7405, 267, 1419, 7106, 8986, 3533, 269, 15394, 267, 855, 711, 2141, 267, 606, 2333, 540, 1719, 538, 519, 3148, 7482, 811, 4359, 5599, 2409, 543, 666, 1291, 547, 519, 1646, 540, 513, 2199, 4346, 269, 4014, 972, 723, 1044, 8320, 540, 4154, 678, 16640, 4657, 519, 2883, 20304, 540, 1507, 19379, 267, 811, 1419, 267, 1346, 945, 4324, 723, 1044, 18318, 267, 899, 2274, 12858, 18135, 1380, 267, 543, 1866, 945, 6462, 1346, 2324, 538, 519, 1858, 563, 3080, 3364, 568, 2386, 267, 2436, 2318, 610, 2942, 267, 519, 6602, 540, 4154, 543, 4611, 4154, 678, 16640, 723, 606, 26837, 4192, 1198, 2390, 519, 3148, 538, 799, 789, 2049, 269, 3371, 616, 513, 1906, 1806, 540, 4583, 4154, 678, 16640, 602, 723, 3144, 1747, 2429, 1686, 543, 875, 789, 8032, 519, 1158, 563, 24154, 7588, 1014, 7108, 27538, 1765, 21026, 3013, 454, 3080, 540, 519, 1101, 2413, 4154, 678, 16640, 3576, 1747, 538, 8478, 269, 634, 19384, 4154, 19060, 568, 1851, 519, 13074, 18835, 4154, 678, 16640, 538, 1686, 267, 9434, 811, 982, 1079, 5553, 269, 17020, 324, 597, 656, 525, 267, 513, 3575, 540, 19539, 21962, 267, 17701, 267, 543, 7045, 3464, 267, 1101, 4362, 4154, 538, 3687, 553, 717, 5028, 529, 269, 634, 6602, 3366, 547, 606, 27614, 540, 14082, 543, 20665, 1004, 547, 519, 3148, 563, 763, 6602, 729, 1500, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 13483, 29411, 274, 7531, 5035, 7844, 912, 825, 5727, 901, 568, 12476, 7844, 585, 782, 10758, 300, 17738, 8173, 825, 1219, 6449, 8181, 9191, 1345, 267, 2878, 29220, 16911, 2187, 1038, 1948, 17583, 547, 6538, 454, 1038, 1582, 26769, 333, 815, 13483, 29411, 274, 269, 6618, 3488, 338, 27942, 924, 6155, 321, 5073, 1038, 1948, 590, 27942, 924, 23684, 607, 513, 1362, 14487, 454, 1038, 1582, 269, 19387, 815, 1582, 26769, 333, 269, 19387, 4590, 1038, 1948, 7305, 2012, 689, 1362, 2012, 454, 1038, 1582, 6745, 762, 12173, 815, 1582, 14857, 1326, 318, 5035, 12173, 4590, 1038, 1948, 7305, 10305, 454, 1038, 4847, 17624, 342, 16911, 815, 1582, 14857, 1326, 318, 2889, 1186, 4590, 1038, 4847, 17624, 342, 16911, 6910, 2891, 335, 330, 5602, 1038, 1582, 269, 11161, 815, 2715, 10926, 1038, 585, 1883, 538, 737, 342, 16911, 912, 2018, 952, 1883, 711, 538, 4847, 17624, 342, 16911, 912, 3546, 1820, 31107, 994, 2018, 3116, 912, 3546, 1582, 269, 11161, 314, 4486, 316, 815, 737, 342, 16911, 314, 4486, 6540, 454, 825, 1219, 6449, 1326, 318, 5035, 12173, 4311, 2187, 1038, 8173, 2018, 17721, 1599, 454, 2018, 16849, 1362, 2012, 607, 1193, 454, 1038, 8173, 1038, 2132, 1582, 14857, 5035, 1029, 14857, 4067, 1029, 7531, 825, 1219, 6449, 1326, 318, 2889, 1186, 4311, 2187, 1038, 8173, 2018, 17721, 1599, 454, 2018, 16849, 513, 1592, 540, 1362, 10305, 630, 1598, 994, 1038, 8173, 1038, 2132, 1496, 328, 585, 1775, 538, 1582, 14857, 5035, 1029, 14857, 18743, 1029, 269, 12399, 3890, 952, 1775, 11468, 272, 316, 11203, 1412, 318, 262, 6540, 454, 825, 1219, 1711, 4671, 762, 4311, 2187, 1038, 5727, 12861, 1007, 3349, 538, 6538, 8173, 1038, 1711, 4671, 762, 815, 1412, 290, 3918, 12442, 570, 21764, 15079, 630, 573, 21850, 9680, 2207, 623, 6020, 300, 14473, 26395, 312, 267, 29717, 8971, 4311, 6745, 762, 12173, 2020, 1038, 585, 1140, 337, 538, 1582, 14857, 1326, 318, 2889, 1186, 10031, 2018, 1711, 4671, 762, 6834, 1140, 337, 1341, 1412, 1412, 1341, 1193, 4311, 14857, 5035, 1029, 14857, 18743, 1029, 314, 3430, 337, 8079, 1341, 22207, 1412, 692, 1038, 1711, 4671, 762, 815, 1711, 4671, 762, 11468, 268, 273, 316, 1341, 1412, 264, 28847, 1038, 5727, 22695, 648, 952, 3349, 2907, 2291, 8173, 1038, 2119, 912, 2018, 1582, 269, 19387, 20216, 31146, 263, 22056, 4671, 762, 994, 1038, 4849, 13483, 29411, 274, 20166, 704, 1049, 13286, 912, 2018, 1780, 7531, 825, 1219, 4688, 4311, 2187, 1038, 5727, 1715, 2594, 538, 6538, 8173, 1038, 7696, 815, 1412, 27486, 12224, 5442, 15674, 15079, 966, 3201, 308, 2464, 630, 333, 1638, 267, 15079, 264, 28847, 1038, 605, 1186, 815, 15234, 692, 1038, 585, 1130, 538, 2039, 12759, 4311, 269, 11161, 15892, 2018, 605, 1186, 6834, 1412, 286, 10086, 692, 1038, 605, 1186, 815, 605, 1186, 11468, 268, 272, 2639, 1038, 7696, 815, 7696, 269, 8971, 4311, 6745, 762, 12173, 267, 605, 1186, 994, 1038, 2418, 815, 24042, 4311, 269, 11161, 269, 11161, 31156, 1038, 1582, 269, 19387, 20216, 1815, 583, 655, 1415, 263, 12133, 267, 1496, 11161, 7481, 1038, 1582, 26769, 333, 2593, 2466, 30800, 825, 1219, 9337, 4311, 267, 533, 330, 2187, 1038, 5727, 22352, 2594, 538, 6538, 8173, 1038, 9337, 815, 1412, 308, 11520, 12442, 15079, 590, 4953, 15079, 18040, 16730, 15079, 28847, 1038, 1305, 23919, 815, 15234, 692, 1038, 585, 1130, 538, 1582, 269, 11161, 912, 2018, 1305, 23919, 6834, 1130, 1341, 834, 6889, 1341, 834, 262, 257, 1341, 1582, 269, 11161, 314, 1998, 316, 1341, 834, 3299, 834, 692, 1038, 1305, 23919, 815, 1305, 23919, 11468, 268, 273, 2639, 1038, 1141, 23919, 815, 1412, 573, 815, 1412, 266, 1598, 9638, 330, 994, 1038, 9337, 815, 9337, 269, 8971, 4311, 6745, 762, 12173, 267, 1305, 23919, 267, 1141, 23919, 2020, 1038, 1582, 269, 19387, 20216, 31146, 263, 26303, 994, 1038, 1582, 26769, 333, 2593, 2466, 30800, 825, 1219, 18419, 4311, 267, 533, 330, 2187, 1038, 5727, 1546, 8541, 2594, 689, 6538, 8173, 1038, 18419, 815, 1412, 14701, 4041, 15288, 20978, 15079, 18040, 16730, 15079, 28847, 1038, 1141, 23919, 815, 1412, 573, 815, 1412, 266, 1598, 9638, 330, 994, 1038, 18419, 815, 18419, 269, 8971, 4311, 6745, 762, 12173, 267, 1141, 23919, 2020, 1038, 1582, 269, 19387, 20216, 31146, 263, 1372, 8541, 994, 1038, 1582, 26769, 333, 2593, 2466, 4590, 0, 5228, 4295, 269, 1598, 1538, 344, 1104, 15613, 454, 5228, 1547, 3200, 673, 318, 31384, 23919, 1538, 344, 1104, 26432, 10817, 731, 25618, 344, 454, 5814, 2979, 692, 5035, 3911, 1278, 25618, 344, 263, 25618, 344, 17107, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 6155, 525, 1600, 32284, 815, 910, 272, 22562, 825, 1219, 1747, 4671, 7505, 4311, 267, 18351, 267, 4604, 2187, 1038, 4604, 318, 19417, 815, 7003, 29033, 994, 1038, 4604, 318, 12296, 815, 7003, 29033, 314, 271, 7481, 1038, 4737, 8548, 1497, 815, 2979, 269, 28776, 29033, 318, 12296, 1315, 476, 273, 994, 1038, 1948, 590, 15659, 11887, 6241, 10862, 585, 14909, 7575, 267, 1376, 693, 519, 1647, 543, 960, 856, 2072, 454, 1038, 9587, 815, 15044, 263, 9792, 29033, 318, 12296, 1070, 1883, 284, 14433, 1535, 281, 2612, 21405, 8548, 1497, 910, 1535, 4917, 1038, 7140, 4671, 2586, 815, 4604, 318, 19417, 2608, 4604, 318, 12296, 910, 2040, 3287, 29644, 263, 271, 264, 585, 1535, 538, 4604, 994, 1038, 952, 7140, 4671, 2586, 2999, 476, 273, 912, 2018, 1582, 269, 27234, 29033, 994, 1038, 5551, 8548, 7174, 815, 29129, 1038, 1948, 901, 4640, 666, 581, 29041, 7168, 3362, 952, 621, 3085, 1405, 979, 1101, 267, 713, 1847, 11151, 519, 18545, 689, 1818, 606, 2653, 476, 275, 563, 1038, 952, 7140, 4671, 2586, 2652, 476, 272, 543, 4604, 314, 4580, 318, 19417, 268, 272, 6012, 992, 8548, 1497, 316, 2652, 476, 272, 912, 2018, 2132, 4737, 8548, 1497, 1341, 476, 272, 692, 1038, 1948, 901, 4640, 25856, 1472, 17935, 585, 513, 1880, 4737, 543, 19101, 782, 9634, 538, 519, 4737, 950, 789, 1831, 2139, 563, 1038, 1247, 1582, 6155, 525, 1600, 32284, 13843, 476, 271, 912, 2018, 5551, 32284, 815, 4604, 314, 1345, 6155, 525, 1600, 32284, 2639, 2018, 2451, 318, 13665, 815, 910, 272, 454, 2018, 1318, 318, 13665, 815, 4604, 318, 12296, 454, 2018, 5551, 8548, 7174, 815, 11713, 2018, 585, 1535, 538, 9587, 912, 3546, 952, 1535, 3436, 2451, 318, 13665, 543, 1535, 2999, 1318, 318, 13665, 543, 5551, 32284, 20572, 316, 2652, 476, 271, 912, 7386, 5551, 8548, 7174, 6910, 3287, 994, 3546, 952, 5551, 32284, 20572, 316, 11203, 18351, 543, 5551, 32284, 20572, 316, 11203, 476, 271, 912, 7386, 952, 1535, 10922, 4737, 8548, 1497, 912, 13376, 2451, 318, 13665, 815, 1535, 454, 7386, 952, 1535, 13843, 4737, 8548, 1497, 912, 13376, 1318, 318, 13665, 815, 1535, 454, 2018, 1948, 1403, 519, 1699, 5551, 4737, 1281, 711, 723, 2614, 4055, 547, 1921, 2185, 1287, 1847, 547, 519, 1985, 4737, 563, 2018, 952, 7003, 5560, 525, 1600, 8548, 7174, 264, 2652, 476, 271, 610, 1318, 318, 13665, 910, 630, 3847, 318, 13665, 1341, 476, 272, 264, 2999, 476, 275, 912, 3546, 1582, 6155, 525, 1600, 32284, 815, 1582, 6155, 525, 1600, 32284, 910, 476, 272, 454, 2018, 3116, 912, 3546, 2736, 28329, 1038, 1948, 2677, 1600, 7575, 616, 1152, 5697, 950, 519, 2230, 2630, 519, 5551, 1847, 568, 4904, 563, 1038, 585, 1535, 538, 5551, 8548, 7174, 912, 2018, 952, 1582, 6155, 525, 1600, 32284, 2652, 4604, 318, 19417, 910, 476, 272, 610, 4604, 314, 1345, 6155, 525, 1600, 32284, 1341, 476, 272, 6012, 343, 316, 11203, 476, 271, 912, 3546, 2132, 1535, 692, 1038, 1948, 1403, 649, 616, 1869, 7996, 585, 519, 18545, 547, 6445, 519, 5624, 2630, 519, 5551, 7575, 454, 1038, 1948, 1175, 5299, 519, 17837, 7575, 547, 7519, 741, 4566, 563, 1038, 585, 586, 538, 2039, 29033, 318, 19417, 910, 476, 272, 2187, 2018, 585, 1535, 538, 2039, 29033, 318, 12296, 2187, 3546, 952, 4604, 314, 344, 6012, 343, 316, 2652, 476, 271, 543, 4604, 314, 344, 266, 272, 6012, 343, 316, 11203, 18351, 543, 4604, 314, 344, 266, 272, 6012, 343, 316, 11203, 476, 271, 912, 7386, 2132, 1535, 692, 1038, 1948, 19227, 1175, 1491, 519, 1101, 2139, 6241, 4358, 689, 519, 6316, 543, 3001, 538, 563, 1038, 585, 1535, 538, 9587, 11468, 18737, 272, 14158, 2018, 952, 4604, 314, 271, 6012, 343, 316, 2652, 476, 271, 912, 3546, 2132, 1535, 28329, 1038, 2132, 910, 272, 692, 825, 1219, 2312, 4311, 267, 4604, 2187, 1038, 1582, 6155, 525, 1600, 32284, 815, 7003, 29033, 264, 910, 476, 272, 692, 3698, 13143, 23919, 1538, 344, 10031, 825, 2132, 26432, 10817, 731, 25618, 344, 263, 10712, 1278, 25618, 344, 15405, 8931, 0, 258, 1104, 519, 27368, 9074, 267, 865, 596, 666, 946, 621, 454, 5814, 27368, 692, 258, 5581, 513, 1292, 1599, 692, 258, 3355, 1125, 519, 27368, 9074, 454, 6853, 18524, 269, 8181, 10797, 258, 1711, 513, 2627, 593, 5496, 602, 814, 519, 2450, 540, 476, 13301, 1535, 476, 5197, 454, 31653, 815, 27368, 269, 5891, 15630, 8548, 1712, 9230, 8517, 267, 476, 7785, 11723, 692, 258, 5581, 513, 4756, 547, 1852, 519, 1292, 8520, 454, 337, 7342, 815, 6936, 8931, 258, 1292, 8520, 454, 6112, 4881, 912, 825, 1948, 2680, 7829, 267, 4991, 782, 2680, 689, 519, 2680, 20313, 454, 825, 1535, 815, 476, 1911, 454, 825, 586, 815, 476, 1911, 454, 825, 5496, 15630, 318, 520, 9230, 343, 267, 586, 1070, 630, 14838, 267, 476, 14838, 267, 476, 14838, 11723, 825, 27368, 269, 5891, 269, 4148, 760, 10797, 825, 585, 2680, 538, 27368, 4318, 1203, 10947, 10031, 1038, 1948, 1152, 798, 1945, 952, 519, 2680, 568, 540, 1826, 19532, 3951, 454, 1038, 952, 2680, 269, 6943, 2652, 27368, 269, 12702, 3951, 912, 2018, 1948, 1689, 519, 1871, 547, 8771, 267, 547, 14827, 519, 1292, 8520, 454, 2018, 4881, 815, 8771, 454, 672, 3097, 0, 258, 2721, 513, 18700, 454, 572, 18488, 815, 476, 11740, 454, 258, 25284, 547, 4729, 513, 1448, 692, 5228, 7046, 21923, 14371, 299, 1104, 27661, 5228, 7046, 21923, 14371, 299, 308, 1104, 27661, 5228, 7046, 21923, 14371, 299, 7473, 1104, 27661, 5814, 19523, 454, 5814, 2979, 454, 5814, 942, 454, 258, 689, 1899, 318, 14607, 3596, 332, 1104, 1899, 318, 14607, 3596, 332, 692, 3698, 2332, 10031, 825, 1350, 28733, 21760, 263, 271, 269, 271, 267, 476, 271, 269, 271, 267, 476, 271, 269, 271, 267, 476, 271, 269, 271, 994, 825, 1350, 340, 7775, 628, 334, 273, 291, 8987, 12573, 269, 271, 267, 476, 12573, 269, 271, 267, 910, 12573, 269, 271, 267, 476, 12573, 269, 271, 9239, 3698, 4729, 318, 9557, 10031, 825, 1350, 28733, 263, 21923, 318, 4596, 299, 3036, 29758, 308, 13697, 2207, 29758, 3951, 994, 825, 1350, 21760, 274, 325, 263, 272, 269, 271, 267, 476, 271, 269, 271, 267, 476, 271, 269, 271, 994, 825, 1350, 24375, 263, 21923, 318, 17269, 2562, 4811, 994, 825, 12415, 815, 476, 4335, 454, 825, 8520, 815, 476, 272, 454, 825, 585, 2234, 538, 2039, 263, 572, 18488, 2187, 1038, 23940, 815, 8520, 2608, 476, 273, 2608, 476, 274, 269, 15221, 6795, 2608, 2234, 1315, 12415, 454, 1038, 1535, 815, 2234, 476, 2608, 2979, 269, 6523, 263, 9064, 994, 1038, 586, 815, 2234, 476, 2608, 2979, 4732, 514, 263, 9064, 994, 1038, 1350, 19723, 23753, 273, 325, 3287, 2608, 476, 271, 269, 276, 1341, 476, 271, 269, 271, 267, 586, 2608, 476, 271, 269, 276, 1341, 476, 271, 269, 271, 994, 825, 1350, 17484, 4590, 825, 1350, 14503, 2313, 30800, 3698, 1292, 10031, 825, 22965, 22873, 4433, 903, 27769, 341, 994, 825, 22965, 22873, 11514, 2452, 300, 1712, 263, 21923, 7473, 318, 306, 5058, 4041, 347, 21923, 7473, 318, 305, 16412, 994, 825, 22965, 22873, 20360, 578, 23917, 263, 10384, 267, 476, 10384, 994, 825, 22965, 22873, 20360, 578, 303, 3789, 263, 2004, 267, 476, 2004, 994, 825, 22965, 8620, 20360, 578, 6357, 262, 7120, 318, 718, 318, 9557, 5073, 825, 22965, 11514, 2452, 293, 15635, 263, 7120, 318, 9557, 994, 825, 2332, 4590, 825, 22965, 14611, 299, 17274, 30800, 10852, 10797, 0, 3698, 10624, 31526, 2187, 825, 8173, 825, 901, 1599, 16493, 856, 519, 4159, 10624, 563, 825, 898, 3217, 3758, 607, 606, 4661, 563, 825, 634, 4159, 10624, 3568, 782, 519, 3681, 519, 3593, 949, 3403, 563, 825, 8173, 825, 1820, 2891, 20594, 20594, 20594, 20594, 20594, 5602, 825, 1820, 2891, 265, 19113, 289, 674, 11223, 589, 2793, 14877, 313, 2207, 14030, 23351, 2608, 5602, 825, 1820 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 476, 275, 320, 269, 31515, 630, 763, 16797, 1109, 15612, 566, 2020, 2171, 723, 267, 585, 938, 12808, 5951, 10484, 1892, 2098, 3287, 25722, 264, 815, 2098, 271, 1341, 589, 5430, 630, 273, 11027, 1496, 14832, 512, 1107, 1535, 270, 16575, 8079, 815, 2098, 271, 1341, 589, 5430, 630, 273, 11027, 1496, 339, 20081, 1107, 1535, 270, 16575, 20285, 663, 649, 1616, 547, 1397, 602, 692, 1892, 546, 273, 313, 7933, 339, 273, 815, 1107, 630, 273, 12631, 3852, 377, 264, 273, 630, 313, 1107, 2098, 271, 994, 1892, 546, 273, 313, 7933, 343, 273, 815, 1107, 630, 273, 12631, 1315, 18494, 264, 273, 630, 313, 1107, 2098, 271, 2020, 288, 1906, 5013, 1384, 272, 269, 2098, 1107, 2098, 271, 815, 589, 5430, 630, 273, 11027, 1496, 14832, 512, 1107, 1535, 270, 16575, 8079, 1109, 2443, 1109, 1175, 1491, 519, 2699, 4542, 543, 1847, 2098, 271, 547, 519, 2451, 11804, 2427, 563, 273, 269, 4595, 2098, 271, 568, 513, 3586, 602, 3085, 1406, 4096, 593, 942, 610, 2230, 267, 546, 313, 271, 7933, 339, 815, 476, 271, 543, 546, 313, 271, 7933, 343, 815, 476, 271, 563, 274, 269, 546, 6262, 657, 512, 8358, 19049, 815, 1107, 5609, 512, 1109, 543, 1109, 546, 4433, 514, 512, 8358, 19049, 815, 1341, 5430, 512, 454, 275, 269, 546, 263, 293, 314, 320, 512, 1341, 321, 1535, 8079, 270, 19049, 815, 1109, 513, 546, 263, 293, 314, 320, 512, 1341, 321, 1535, 8079, 270, 323, 5416, 512, 266, 536, 1535, 1070, 1141, 513, 543, 536, 616, 21635, 543, 674, 568, 1022, 1599, 540, 630, 320, 512, 1341, 536, 1535, 264, 4586, 276, 269, 546, 314, 288, 535, 6025, 13580, 270, 19049, 815, 589, 1109, 546, 314, 325, 6025, 13580, 270, 19049, 2073, 1141, 535, 6025, 264, 568, 1022, 1599, 540, 512, 543, 589, 568, 513, 3586, 692, 2704, 339, 6320, 713, 1797, 692, 323, 313, 7933, 339, 815, 546, 314, 589, 5430, 630, 273, 11027, 1496, 14832, 512, 1107, 1535, 270, 16575, 8079, 9948, 1315, 19049, 284, 589, 546, 314, 5430, 630, 273, 11027, 1496, 14832, 512, 1107, 1535, 270, 16575, 8079, 9948, 1315, 19049, 692, 284, 589, 263, 273, 11027, 3852, 377, 264, 546, 314, 5430, 630, 273, 11027, 1496, 14832, 512, 1107, 1535, 270, 16575, 8079, 9948, 270, 323, 263, 273, 11027, 1496, 14832, 512, 1107, 1535, 270, 16575, 8079, 815, 910, 263, 273, 11027, 3852, 377, 264, 589, 5609, 630, 273, 11027, 1496, 14832, 512, 1107, 1535, 270, 16575, 20285, 663, 692, 323, 273, 313, 7933, 339, 273, 815, 546, 15631, 263, 273, 11027, 3852, 377, 264, 288, 5609, 630, 273, 11027, 1496, 14832, 512, 1107, 1535, 270, 16575, 8079, 316, 270, 19049, 815, 910, 263, 273, 11027, 3852, 377, 264, 288, 546, 314, 7562, 630, 273, 11027, 1496, 14832, 512, 1107, 1535, 270, 16575, 8079, 316, 270, 19049, 692, 284, 910, 263, 273, 11027, 3852, 377, 264, 273, 589, 5430, 630, 273, 11027, 1496, 14832, 512, 1107, 1535, 270, 16575, 8079, 815, 910, 263, 273, 11027, 3852, 377, 264, 273, 630, 313, 1107, 2098, 271, 264, 16317, 7712, 938, 2699, 4542, 585, 519, 5951, 1131, 1413, 519, 1482, 952, 596, 22121, 630, 14832, 512, 264, 609, 11196, 343, 270, 16575, 1070, 519, 19106, 540, 546, 273, 313, 7933, 343, 273, 568, 519, 1482, 607, 585, 546, 273, 313, 7933, 339, 273, 4849, 602, 3079, 540, 546, 7933, 339, 4758, 513, 3815, 540, 630, 273, 11027, 3852, 377, 264, 649, 723, 546, 7933, 343, 4758, 513, 3815, 540, 11196, 476, 273, 11027, 270, 16575, 5148, 855, 2094, 972, 616, 1079, 971, 2188, 538, 519, 2626, 267, 649, 1175, 5372, 630, 273, 11027, 3852, 377, 264, 273, 609, 11196, 476, 273, 11027, 270, 16575, 264, 273, 815, 22791, 273, 11027, 270, 16575, 264, 273, 282, 519, 14263, 1129, 3085, 1406, 2339, 269, 1109, 630, 2467, 779, 1869, 606, 2949, 14263, 1129, 538, 1840, 4700, 1109, 1924, 267, 607, 649, 2877, 547, 1397, 267, 546, 273, 313, 7933, 339, 273, 815, 1109, 910, 263, 273, 11027, 1315, 16575, 264, 273, 630, 313, 1107, 2098, 271, 264, 16317, 2162, 476, 273, 6114, 547, 968, 275, 320, 269, 31515, 630, 763, 16797, 1109, 15612, 566, 264, 10640, 272, 269, 667, 542, 18234, 2006, 692, 23777, 334, 593, 476, 272, 269, 2560, 1492, 2451, 11804, 2427, 20330, 8722, 601, 1863, 547, 18419, 713, 780, 15124, 3135, 267, 2484, 811, 5363, 982, 3388, 3116, 594, 4076, 1044, 10010, 609, 585, 519, 2250, 1032, 780, 273, 269, 30370, 681, 269, 645, 24480, 692, 7312, 10035, 568, 14845, 269, 2659, 7508, 513, 1906, 24303, 538, 1899, 476, 275, 269, 594, 798, 3494, 0, 258, 16066, 20548, 541, 19789, 10298, 4147, 476, 279, 9119, 10298, 585, 6034, 543, 769, 2091, 7352, 566, 11644, 476, 280, 269, 274, 538, 3848, 476, 280, 910, 6034, 543, 769, 2091, 7352, 566, 692, 9223, 476, 273, 6034, 543, 769, 2091, 7352, 566, 11644, 476, 280, 269, 274, 692, 288, 666, 28273, 476, 272, 270, 276, 628, 540, 513, 1978, 960, 538, 476, 273, 2395, 543, 645, 666, 798, 476, 273, 270, 274, 6113, 540, 621, 538, 476, 279, 2395, 269, 769, 875, 1454, 942, 666, 789, 1927, 2347, 519, 960, 2496, 11693, 1384, 288, 666, 798, 476, 272, 270, 276, 628, 540, 513, 1978, 960, 538, 815, 476, 273, 2395, 692, 3383, 267, 589, 779, 267, 476, 272, 1554, 960, 815, 476, 272, 270, 276, 6398, 476, 272, 270, 273, 815, 476, 272, 270, 1015, 692, 289, 666, 798, 476, 273, 270, 274, 6113, 540, 513, 1978, 960, 538, 815, 476, 279, 2395, 692, 3383, 267, 645, 779, 267, 476, 272, 1554, 960, 815, 476, 273, 270, 274, 6398, 476, 272, 270, 279, 815, 476, 272, 270, 1321, 692, 10490, 1341, 645, 264, 685, 338, 476, 272, 1554, 960, 815, 476, 272, 270, 1015, 1341, 476, 272, 270, 1321, 692, 284, 630, 277, 266, 276, 8358, 2568, 692, 284, 476, 1556, 270, 2568, 692, 30043, 630, 288, 1341, 645, 264, 666, 798, 519, 2347, 960, 538, 815, 476, 272, 14370, 1556, 270, 2568, 264, 2395, 692, 284, 476, 2568, 270, 1556, 2395, 692, 284, 476, 276, 476, 276, 270, 1556, 2395, 692, 16665, 5999, 692, 299, 18480, 692, 290, 12973, 692, 27645, 692, 9349, 513, 5915, 334, 609, 721, 692, 306, 22690, 16086, 692, 13043, 338, 454, 290, 18778, 454, 13043, 338, 454, 2975, 10345, 454, 16631, 454, 290, 18778, 692, 16631, 454, 2975, 10345, 454, 12626, 454, 290, 18778, 454, 12626, 454, 2975, 10345, 454, 290, 5317, 692, 24404, 916, 1299, 24727, 692, 306, 601, 2088, 7726, 7813, 692, 13043, 338, 454, 30125, 454, 289, 5735, 692, 5472, 1221, 7726, 7813, 692, 290, 13511, 454, 21010, 609, 721, 593, 1514, 2923, 256, 0, 258, 1215, 3509, 18467, 616, 1703, 547, 11352, 519, 16707, 540, 6478, 654, 305, 25492, 2496, 763, 476, 276, 5022, 2262, 654, 305, 25492, 666, 581, 11231, 538, 476, 6344, 3982, 2081, 269, 634, 2630, 2143, 1344, 2982, 875, 547, 1265, 875, 1082, 2081, 616, 972, 547, 1931, 519, 5022, 654, 305, 25492, 543, 875, 621, 568, 1373, 7229, 538, 519, 1483, 1158, 2042, 780, 9373, 2262, 23241, 18850, 3907, 27720, 18467, 547, 28081, 519, 6478, 654, 305, 25492, 454, 763, 2630, 1900, 676, 1900, 960, 6383, 676, 519, 2262, 32545, 9498, 2982, 875, 547, 1265, 875, 1082, 1114, 2081, 666, 519, 5022, 540, 519, 2262, 654, 305, 25492, 581, 11231, 780, 29020, 912, 8340, 875, 1082, 10646, 762, 2081, 616, 972, 547, 1931, 519, 5022, 538, 519, 2262, 654, 305, 25492, 780, 3721, 676, 1900, 15904, 912, 21163, 476, 272, 17372, 519, 4542, 267, 3403, 6724, 543, 2418, 547, 1265, 875, 1082, 2081, 616, 972, 547, 1931, 519, 5022, 654, 305, 25492, 563, 13528, 3121, 912, 333, 7468, 815, 333, 256, 14370, 333, 272, 256, 562, 273, 256, 1547, 1547, 1547, 562, 337, 256, 2020, 19152, 6724, 543, 2418, 912, 13707, 1297, 540, 5022, 538, 654, 305, 25492, 912, 333, 815, 476, 276, 692, 18850, 3307, 29162, 912, 8138, 338, 1115, 2433, 654, 815, 476, 272, 282, 681, 815, 476, 272, 282, 594, 815, 476, 272, 282, 570, 815, 476, 272, 282, 661, 815, 476, 272, 3248, 8138, 338, 1115, 262, 1293, 912, 333, 272, 263, 310, 264, 815, 476, 272, 267, 562, 273, 27562, 264, 815, 476, 272, 267, 562, 274, 263, 296, 264, 815, 476, 272, 267, 562, 275, 24867, 264, 815, 476, 272, 267, 562, 276, 27887, 264, 815, 476, 272, 692, 21163, 476, 273, 15233, 519, 2418, 13939, 689, 519, 2262, 654, 305, 25492, 538, 519, 630, 333, 7468, 264, 32545, 3830, 454, 333, 7468, 815, 476, 276, 256, 14370, 272, 256, 476, 272, 256, 476, 272, 256, 476, 272, 256, 476, 272, 256, 25589, 284, 476, 272, 1535, 476, 273, 1535, 476, 274, 1535, 476, 275, 1535, 476, 276, 270, 18950, 272, 264, 630, 272, 264, 630, 272, 264, 630, 272, 264, 630, 272, 264, 10926, 284, 476, 6344, 270, 272, 692, 284, 476, 6344, 454, 333, 7468, 540, 2262, 654, 305, 25492, 815, 476, 6344, 692, 17798, 2676, 763, 5022, 540, 519, 2262, 654, 305, 25492, 666, 581, 11231, 538, 476, 6344, 3982, 2081, 780, 30509, 689, 519, 2262, 654, 305, 25492, 267, 596, 949, 2119, 1114, 1913, 609, 1585, 13080, 609, 610, 1510, 17279, 540, 5022, 547, 7747, 875, 621, 5540, 519, 562, 7468, 2262, 32089, 9819, 547, 1265, 875, 1082, 2081, 519, 5022, 538, 519, 2016, 2262, 666, 581, 11231, 269, 0, 258, 1403, 476, 1321, 269, 276, 260, 540, 513, 1297, 568, 3773, 609, 3294, 1287, 519, 1267, 3587, 476, 17734, 269, 4855, 519, 3312, 1297, 780, 7761, 5784, 454, 514, 589, 696, 3363, 454, 743, 2216, 454, 2252, 476, 1321, 269, 276, 260, 540, 513, 1297, 568, 3773, 609, 3294, 1287, 519, 1267, 3587, 476, 17734, 269, 4855, 519, 3312, 1297, 563, 272, 269, 476, 1220, 454, 273, 269, 476, 13301, 454, 274, 269, 476, 17168, 454, 275, 269, 476, 4968, 692, 2421, 630, 7918, 269, 274, 330, 2798, 994, 572, 21124, 692, 28557, 8382, 910, 26840, 476, 273, 2433, 476, 13301, 692, 11693, 1384, 1321, 269, 276, 260, 513, 1297, 568, 3773, 609, 3294, 1287, 519, 1267, 3587, 476, 17734, 780, 15612, 566, 912, 1321, 269, 276, 260, 815, 476, 1321, 269, 276, 270, 1911, 815, 476, 272, 270, 279, 692, 4131, 3312, 1297, 815, 476, 279, 343, 267, 1297, 3773, 815, 476, 272, 343, 692, 6546, 568, 267, 952, 476, 1911, 260, 815, 476, 279, 343, 1287, 922, 476, 1321, 269, 276, 260, 284, 476, 272, 343, 692, 10831, 1310, 1840, 815, 476, 279, 343, 1341, 476, 272, 343, 815, 476, 280, 343, 815, 476, 17734, 454, 22382, 1535, 815, 476, 1789, 454, 24314, 1297, 815, 476, 279, 343, 815, 476, 279, 6398, 476, 1789, 815, 476, 13301, 692, 30043, 22731, 1297, 568, 476, 13301, 0, 258, 21832, 307, 2177, 24912, 15829, 16703, 692, 19489, 4753, 692, 2690, 576, 568, 606, 2962, 602, 666, 1118, 513, 1689, 538, 519, 3337, 610, 5163, 540, 606, 1843, 780, 1892, 898, 779, 513, 6152, 269, 898, 814, 513, 9588, 543, 4287, 563, 1892, 898, 779, 7229, 676, 3846, 10309, 563, 1892, 4706, 3090, 568, 674, 563, 1892, 16038, 1770, 540, 3196, 568, 13053, 284, 301, 454, 1892, 898, 814, 606, 8665, 15301, 288, 7217, 568, 1945, 602, 24864, 267, 27605, 610, 6411, 269, 10414, 2115, 606, 8665, 1317, 621, 2115, 513, 2014, 8094, 1892, 1703, 616, 1079, 2010, 912, 272, 269, 13555, 3196, 281, 898, 779, 3361, 676, 2168, 5905, 543, 5872, 269, 1280, 1383, 267, 18644, 513, 3774, 538, 3346, 3196, 1317, 519, 1688, 540, 812, 2115, 547, 5905, 519, 3774, 563, 273, 269, 7043, 24365, 3196, 281, 898, 3085, 1406, 2154, 1022, 2168, 5905, 269, 1280, 1383, 267, 8904, 3085, 1406, 991, 547, 5905, 721, 538, 1931, 547, 7485, 721, 269, 6271, 1383, 568, 1079, 22197, 17444, 1142, 824, 799, 568, 6419, 3196, 780, 8110, 12993, 543, 8880, 4229, 1810, 1406, 1860, 1142, 824, 780, 15187, 3196, 568, 519, 2040, 540, 782, 519, 4229, 9117, 593, 606, 1843, 269, 898, 568, 849, 1572, 519, 25739, 3196, 780, 15650, 540, 17086, 692, 26574, 1384, 24618, 779, 14965, 3196, 9117, 593, 606, 1843, 269, 4706, 6152, 568, 9338, 310, 17751, 306, 1109, 6658, 1189, 267, 2094, 519, 4099, 540, 3618, 568, 18284, 721, 780, 310, 284, 16936, 692, 1892, 544, 284, 21346, 454, 1892, 575 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2252, 596, 1246, 891, 5528, 267, 798, 596, 2132, 547, 519, 4358, 1448, 888, 304, 281, 6875, 476, 274, 3268, 269, 12414, 1472, 269, 6875, 476, 279, 3268, 269, 12414, 1472, 269, 12414, 1318, 269, 12414, 2451, 269, 6875, 476, 276, 3268, 563, 288, 281, 6936, 0, 9223, 281, 769, 513, 2245, 602, 21401, 1394, 547, 476, 4350, 274, 267, 1018, 568, 519, 2757, 20892, 844, 3530, 539, 676, 519, 10888, 9920, 540, 519, 4095, 24550, 476, 4335, 888, 12585, 281, 2640, 540, 6704, 5144, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 780, 9223, 281, 23675, 543, 22997, 281, 1496, 3650, 518, 316, 1215, 547, 3561, 513, 2780, 1966, 1496, 27583, 316, 9612, 585, 513, 1883, 593, 707, 13691, 1572, 1820, 9379, 267, 929, 985, 13062, 267, 929, 1206, 13062, 333, 610, 519, 899, 269, 1496, 21163, 316, 898, 568, 4092, 1657, 519, 834, 7696, 834, 1883, 543, 547, 519, 1318, 540, 519, 834, 535, 1321, 834, 1883, 593, 513, 3044, 13691, 269, 898, 781, 4087, 949, 8428, 593, 513, 15291, 13691, 269, 3097, 288, 269, 1403, 596, 1931, 29921, 7493, 338, 689, 1820, 267, 1820, 9864, 7493, 338, 267, 3169, 7493, 338, 267, 972, 949, 581, 14949, 8925, 269, 1496, 27583, 316, 8437, 834, 3758, 834, 538, 519, 533, 1206, 13062, 333, 1907, 8663, 543, 4945, 593, 519, 3758, 563, 289, 269, 1496, 27583, 316, 10576, 519, 1883, 602, 786, 6521, 1310, 596, 1847, 513, 4305, 269, 1496, 21163, 316, 1452, 10569, 616, 1346, 799, 1847, 519, 1852, 14950, 909, 610, 1524, 563, 290, 269, 1496, 11357, 25074, 316, 1403, 596, 1616, 547, 7001, 519, 3003, 5496, 267, 3180, 1524, 519, 834, 524, 27530, 834, 1883, 543, 5734, 519, 929, 985, 13062, 1883, 610, 519, 7222, 1883, 607, 5018, 1657, 269, 1403, 596, 1616, 547, 7001, 1175, 513, 6885, 267, 1101, 1118, 2386, 519, 6885, 568, 3742, 563, 291, 269, 4855, 707, 2990, 676, 3168, 693, 519, 834, 875, 3562, 834, 4216, 543, 834, 3489, 834, 10833, 269, 1496, 27583, 316, 9612, 585, 513, 1883, 543, 2046, 621, 563, 12585, 281, 595, 0, 9223, 281, 7316, 729, 1715, 3840, 781, 19366, 14791, 6728, 2394, 476, 4198, 275, 888, 12585, 281, 14248, 529, 6532, 0, 763, 3440, 729, 16207, 4651, 982, 519, 1167, 267, 1317, 519, 3440, 729, 513, 2603, 14402, 269, 0, 9223, 281, 5808, 729, 10793, 773, 17394, 781, 2034, 9393, 454, 12585, 281, 513, 686, 593, 12118, 0, 454, 304, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 4009, 30645, 1291, 8748, 3339, 20695, 2025, 1922, 5831, 539, 3043, 17774, 4580, 834, 536, 834, 8748, 3339, 20695, 2025, 1922, 5831, 539, 4009, 3043, 30645, 1291, 17774, 4580, 834, 15017, 288, 281, 536, 0, 9223, 281, 7913, 530, 24548, 723, 1044, 1572, 519, 2104, 540, 1483, 8996, 8569, 2029, 269, 2060, 2101, 5716, 899, 1325, 760, 599, 267, 1284, 322, 30942, 543, 11197, 9796, 4742, 2442, 267, 621, 4667, 547, 581, 513, 2922, 914, 602, 513, 1689, 538, 7082, 8569, 2029, 568, 4947, 4166, 269, 589, 2487, 1353, 676, 13022, 328, 4825, 841, 7896, 1336, 602, 513, 3395, 1297, 540, 1004, 616, 8508, 3059, 530, 24548, 267, 1813, 538, 1804, 851, 547, 741, 13418, 543, 8897, 540, 946, 2073, 834, 2467, 781, 1100, 2243, 476, 1001, 277, 786, 581, 606, 1271, 1032, 607, 3059, 530, 24548, 2744, 811, 10343, 1701, 267, 15776, 12340, 2725, 301, 600, 4673, 267, 5883, 8689, 540, 7649, 2359, 267, 13022, 328, 4825, 841, 7896, 267, 7074, 269, 7831, 3923, 267, 23711, 27680, 4024, 681, 2118, 344, 1995, 513, 1554, 538, 19864, 1510, 1010, 23129, 269, 834, 1103, 3624, 781, 4102, 4872, 267, 596, 666, 9090, 7639, 1510, 8876, 513, 17927, 2407, 540, 6666, 543, 5491, 6486, 268, 607, 1279, 607, 596, 4312, 3893, 707, 16335, 2437, 646, 5206, 269, 834, 288, 5458, 1297, 540, 4213, 538, 19864, 3398, 5985, 11033, 1701, 1261, 6976, 585, 14254, 676, 17655, 513, 30040, 3009, 593, 519, 6885, 540, 513, 8559, 2987, 7308, 910, 13665, 13962, 269, 2353, 646, 1185, 547, 798, 729, 4283, 513, 10957, 543, 519, 11834, 476, 729, 6192, 269, 3973, 646, 849, 1031, 1010, 6049, 547, 2628, 585, 9413, 17914, 267, 4444, 1491, 719, 1426, 267, 1931, 5370, 585, 6765, 269, 769, 1249, 267, 646, 729, 711, 519, 1152, 835, 547, 2972, 713, 13418, 269, 3571, 13930, 30715, 13198, 849, 6976, 1200, 7622, 1216, 3915, 609, 1200, 5985, 6049, 269, 769, 7643, 267, 1352, 729, 2111, 547, 4483, 7482, 263, 3738, 689, 835, 540, 1896, 5532, 6589, 269, 9521, 519, 3871, 538, 519, 2475, 543, 824, 2477, 267, 834, 19770, 3085, 1405, 723, 513, 2731, 2724, 6194, 5491, 3556, 1062, 2668, 2871, 24204, 267, 1071, 1922, 10133, 540, 519, 1007, 8569, 813, 30683, 5158, 267, 5143, 23711, 269, 834, 3383, 4457, 1004, 1175, 1236, 5792, 5491, 6486, 543, 6632, 2786, 547, 5985, 11033, 1701, 2871, 849, 11329, 856, 519, 5383, 540, 5985, 11033, 269, 834, 5591, 11113, 610, 12014, 602, 666, 581, 4503, 610, 21687, 267, 5907, 2256, 328, 14186, 267, 519, 8897, 540, 5329, 3950, 540, 7836, 543, 540, 1576, 267, 1100, 23129, 2921, 909, 2230, 1701, 646, 1767, 634, 8574, 568, 2854, 547, 567, 9041, 454, 288, 269, 5000, 519, 3988, 547, 946, 3059, 23129, 454, 289, 269, 6338, 5985, 8569, 454, 290, 269, 5635, 5985, 8569, 609, 2757, 8569, 454, 291, 269, 6338, 1114, 1797, 540, 8569, 454, 12585, 281, 645, 0, 9223, 281, 4892, 1589, 1454, 827, 942, 269, 3245, 6689, 789, 1451, 547, 1871, 942, 269, 1358, 616, 6026, 547, 581, 593, 942, 547, 979, 547, 1153, 267, 547, 960, 543, 547, 798, 3388, 269, 1879, 789, 616, 2348, 513, 1434, 942, 267, 789, 2161, 602, 942, 4422, 3362, 269, 1879, 513, 1268, 568, 12955, 267, 789, 2161, 646, 568, 2713, 593, 513, 22666, 942, 269, 5384, 568, 2724, 269, 5384, 568, 1702, 269, 5384, 568, 3388, 538, 3013, 269, 589, 2324, 1977, 814, 547, 960, 2182, 585, 5216, 3108, 513, 1554, 610, 17288, 3108, 513, 3018, 269, 901, 568, 519, 2324, 942, 269, 769, 1010, 1863, 942, 267, 646, 849, 1568, 2182, 585, 811, 2724, 269, 4634, 593, 14349, 543, 10732, 646, 849, 1568, 2182, 607, 8912, 269, 769, 519, 8265, 596, 666, 15991, 1294, 513, 812, 6972, 7444, 269, 1358, 3802, 1360, 3728, 269, 769, 1249, 267, 789, 616, 4881, 269, 1358, 2648, 942, 1317, 942, 666, 3142, 873, 2724, 543, 6266, 540, 1919, 269, 1809, 3006, 789, 849, 13842, 942, 2073, 1317, 789, 1745, 789, 723, 1831, 22063, 540, 519, 9219, 1547, 901, 8574, 3081, 602, 513, 12955, 1268, 476, 9041, 476, 4586, 288, 269, 568, 2348, 513, 1434, 942, 454, 289, 269, 568, 2713, 593, 513, 22666, 942, 454, 290, 269, 14659, 942, 4422, 3362, 454, 291, 269, 568, 9494, 942, 454, 12585, 281, 645, 0, 763, 8279, 1223, 581, 2938, 689, 519, 6989, 855, 711, 689, 519, 13486, 267, 607, 519, 2070, 689, 519, 6989, 729, 2312, 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 ]
[ 2416, 540, 891, 5820, 2270, 554, 3591, 269, 1924, 267, 950, 14420, 568, 1786, 14954, 1863, 540, 24061, 543, 10568, 267, 621, 568, 849, 15347, 6954, 269, 4475, 267, 554, 3591, 2933, 798, 711, 2270, 15347, 563, 3674, 24061, 2407, 540, 15347, 888, 5591, 267, 24061, 568, 711, 2407, 540, 15347, 269, 2755, 1082, 9274, 2270, 15347, 267, 24061, 3568, 513, 1106, 540, 15347, 1634, 607, 554, 867, 324, 514, 267, 799, 568, 711, 519, 1482, 607, 519, 15347, 1336, 538, 10568, 267, 30383, 267, 543, 930, 824, 9274, 269, 1717, 267, 1317, 554, 867, 324, 514, 568, 513, 1826, 540, 15347, 267, 24061, 949, 711, 581, 5078, 585, 1004, 609, 15347, 8417, 610, 1346, 593, 513, 15347, 6954, 2732, 563, 12234, 267, 24061, 666, 581, 9268, 547, 4894, 519, 15347, 5946, 267, 1818, 621, 2922, 585, 1346, 609, 15347, 22740, 8481, 269, 4475, 267, 952, 596, 616, 3168, 547, 2057, 15347, 267, 581, 2386, 547, 2638, 519, 10297, 540, 1022, 1587, 5627, 24061, 267, 547, 2327, 621, 568, 15347, 6954, 563, 4692, 596, 4235, 14420, 952, 15347, 703, 26985, 888, 5591, 267, 1004, 945, 616, 15347, 703, 26985, 3112, 4235, 14420, 2094, 621, 3568, 15347, 269, 2142, 518, 568, 2356, 1500, 909, 540, 1896, 1114, 9274, 267, 899, 10568, 267, 24061, 267, 543, 30383, 267, 799, 782, 2270, 15347, 269, 769, 1840, 547, 14420, 267, 1004, 945, 616, 15347, 703, 26985, 1058, 2057, 4376, 602, 3568, 24061, 267, 10568, 267, 630, 323, 584, 636, 7912, 267, 4439, 326, 584, 267, 2484, 2088, 267, 1178, 5069, 7912, 267, 5033, 565, 2088, 267, 838, 3881, 267, 10568, 4839, 267, 10568, 10351, 267, 543, 10568, 20566, 1070, 28915, 630, 10193, 28915, 1349, 267, 28915, 21360, 267, 543, 28915, 7657, 1681, 1070, 543, 30383, 563, 1103, 930, 2665, 267, 27046, 22596, 543, 824, 9274, 949, 849, 581, 13572, 269, 4475, 267, 1004, 945, 616, 15347, 703, 26985, 1058, 711, 4235, 14420, 563, 3963, 568, 4856, 7431, 14420, 15347, 6954, 888, 17357, 7431, 14420, 568, 1631, 15347, 6954, 1317, 540, 519, 28823, 1184, 789, 946, 269, 634, 28823, 1184, 789, 946, 3322, 513, 1298, 17287, 4007, 2029, 602, 2636, 873, 547, 3132, 1100, 15347, 25202, 5820, 269, 901, 568, 519, 1482, 2029, 1031, 538, 519, 2504, 540, 1776, 2442, 15347, 6954, 14420, 267, 744, 685, 291, 9567, 779, 563, 3528, 1210, 713, 1298, 17287, 4007, 2029, 267, 4856, 7431, 568, 2111, 547, 9004, 1022, 15347, 25202, 5820, 538, 519, 3803, 1587, 267, 4180, 602, 621, 568, 15347, 6954, 269, 634, 1184, 849, 5849, 602, 1100, 15347, 25202, 5820, 616, 1031, 538, 519, 28823, 1184, 267, 799, 2306, 4856, 7431, 14420, 513, 1390, 3903, 585, 1346, 945, 991, 547, 610, 1616, 547, 2057, 15347, 563, 12234, 267, 4856, 7431, 14420, 568, 849, 7318, 676, 606, 4830, 8047, 547, 2327, 602, 621, 568, 15347, 6954, 269, 2060, 922, 2189, 28823, 1184, 267, 4856, 7431, 14420, 568, 1631, 835, 540, 519, 1082, 15347, 6954, 581, 619, 2139, 585, 1346, 945, 991, 610, 4782, 547, 8532, 15347, 6954, 2472, 563, 3674, 1261, 710, 5287, 15347, 6954, 888, 3891, 710, 5287, 568, 711, 513, 15347, 6954, 14420, 269, 898, 3568, 24061, 543, 10568, 267, 1312, 540, 799, 616, 2959, 540, 15347, 269, 1717, 267, 1261, 710, 5287, 1281, 2709, 824, 15347, 6954, 3681, 585, 1346, 945, 616, 15347, 10784, 26985, 610, 3168, 547, 2569, 519, 2179, 540, 15347, 538, 741, 11326, 563, 3891, 710, 5287, 814, 513, 15347, 6954, 561, 4526, 602, 568, 3812, 538, 519, 13814, 267, 1500, 689, 22408, 32758, 267, 11369, 342, 17742, 267, 543, 7573, 267, 607, 1134, 607, 513, 15347, 6954, 1261, 710, 5287, 476, 271, 269, 271, 799, 568, 513, 1875, 17038, 4022, 545, 267, 28915, 6954, 561, 4526, 269, 5637, 3681, 616, 15347, 6954, 543, 616, 1500, 1510, 10568, 610, 24061, 563, 3891, 710, 5287, 568, 6131, 547, 3246, 513, 2647, 2039, 540, 3681, 547, 9290, 3025, 779, 2115, 267, 865, 596, 666, 2972, 513, 14420, 1510, 20468, 827, 15347, 563, 4692, 596, 581, 13027, 547, 554, 3591, 888, 8133, 267, 621, 568, 2009, 547, 581, 13027, 547, 554, 3591, 269, 670, 3591, 616, 513, 2030, 602, 616, 1031, 547, 8137, 14420, 543, 824, 16098, 543, 1683, 15280, 1145, 269, 4340, 547, 519, 1977, 9142, 540, 30665, 267, 8330, 8676, 1299, 16332, 1108, 630, 25720, 296, 1070, 554, 3591, 666, 2014, 606, 13027, 5114, 538, 1978, 1004, 267, 3056, 547, 21422, 267, 32105, 267, 543, 11926, 563, 1607, 666, 4755, 950, 891, 2043, 2097, 883, 3346, 609, 554, 3591, 610, 950, 789, 8532, 554, 3591, 25202, 2472, 267, 971, 607, 14420, 269, 2368, 1004, 666, 1256, 723, 3978, 6547, 267, 971, 607, 606, 20942, 9471, 267, 538, 799, 1973, 2604, 12772, 543, 789, 949, 979, 883, 8710, 563, 2252, 596, 1589, 596, 949, 581, 13027, 547, 554, 3591, 267, 621, 568, 1271, 547, 3717, 547, 707, 4387, 269, 2659, 4387, 949, 1685, 4255, 267, 971, 607, 2960, 15429, 4152, 267, 547, 6166, 519, 5868, 269, 1358, 666, 1287, 1683, 596, 609, 2126, 547, 948, 596, 4383, 707, 2589, 563, 1432, 14420, 568, 9803, 538, 15347, 888, 10908, 9790, 6954, 14420, 568, 4742, 811, 543, 811, 2442, 607, 1004, 609, 15347, 22740, 8481, 610, 524, 27112, 2068, 1413, 585, 2539, 25322, 9790, 8925, 547, 2757, 14420, 269, 3794, 9790, 6954, 14420, 568, 1500, 609, 3490, 5820, 971, 607, 22408, 32758, 267, 7573, 267, 11369, 342, 17742, 267, 2113, 2280, 267, 543, 1256, 844, 29184, 267, 799, 2306, 873, 6923, 15347, 1863, 563, 5278, 1786, 9955, 849, 1491, 3606, 3268, 547, 2569, 519, 15347, 1543, 1256, 2417, 563, 2691, 621, 2501, 547, 519, 14420, 609, 519, 9803, 2179, 540, 15347, 267, 519, 16101, 4422, 547, 744, 3939, 267, 513, 6216, 602, 24870, 538, 15347, 6954, 581, 619, 269, 744, 3939, 2829, 602, 741, 581, 619, 723, 1044, 7318, 547, 723, 1447, 982, 476, 1015, 2694, 829, 2929, 540, 15347, 267, 1818, 873, 930, 540, 519, 9803, 15347, 581, 619, 593, 519, 2344, 563, 5445, 946, 513, 28106, 2029, 547, 2697, 267, 4894, 267, 543, 2569, 519, 15347, 1543, 540, 741, 581, 619, 547, 1447, 982, 476, 1015, 653, 332, 267, 865, 1346, 609, 524, 27112, 2068, 666, 2972, 873, 563, 13010, 267, 3794, 9790, 6199, 849, 3091, 1896, 15347, 6954, 581, 619, 602, 2097, 538, 693, 606, 11141, 476, 274, 653, 332, 540, 15347, 1543, 610, 1447, 269, 901, 2306, 873, 835, 540, 519, 9803, 538, 15347, 1543, 585, 581, 619, 602, 616, 4922, 2139, 563, 27407, 267, 952, 596, 2461, 3168, 585, 513, 14420, 609, 519, 9803, 1377, 540, 15347, 267, 1413, 585, 835, 540, 519, 581, 619, 689, 744, 3939, 610, 3794, 9790, 6199, 1107, 610, 1022, 6216, 602, 4255, 741, 581, 619, 547, 1447, 982, 476, 1015, 653, 332, 540, 15347, 563, 4692, 524, 27112, 4235, 14863, 933, 16014, 888, 5591, 267, 524, 27112, 338, 3112, 4235, 14863, 933, 16014, 1317, 621, 3568, 24061, 267, 799, 568, 513, 1826, 540, 15347, 10286, 269, 2755, 14863, 933, 16014, 1281, 711, 12799, 14441, 922, 2472, 607, 5627, 15347, 267, 24061, 568, 835, 540, 519, 1292, 5820, 538, 519, 14420, 267, 865, 621, 13514, 513, 1981, 585, 2043, 1739, 513, 15347, 6954, 2732, 563, 11997, 267, 621, 568, 711, 5078, 585, 524, 27112, 338, 610, 2043, 945, 616, 15347, 703, 26985, 563, 1432, 616, 5820, 538, 14863, 8752, 888, 289, 644, 8752, 568, 513, 1769, 561, 4526, 1786, 14954, 676, 1323, 515, 12528, 5174, 20415, 769, 289, 5271, 269, 898, 568, 835, 540, 519, 1283, 5498, 29818, 581, 619, 538, 519, 2136, 2276, 543, 519, 1158, 269, 898, 814, 513, 11029, 5577, 1915, 543, 513, 26546, 267, 2973, 267, 24253, 9096, 269, 634, 4295, 5820, 585, 782, 1323, 515, 12528, 5174, 20415, 769, 289, 5271, 581, 619, 267, 1519, 14863, 8752, 267, 616, 1216, 267, 24061, 28915, 267, 7573, 267, 554, 3591, 543, 13803, 563, 12850, 568, 519, 3490, 540, 782, 581, 619, 267, 543, 14863, 8752, 3096, 513, 4999, 540, 1079, 1216, 2959, 281, 2620, 268, 13702, 5820, 538, 853, 269, 8402, 267, 16713, 543, 2199, 2749, 1216, 269, 634, 24061, 28915, 568, 513, 1883, 2707, 540, 7542, 618, 762, 14836, 602, 1711, 4568, 543, 2285, 14420, 922, 1560, 563, 763, 24061, 28915, 1031, 538, 14863, 8752, 568, 1079, 268, 992, 24061, 267, 799, 568, 513, 1164, 7779, 3099, 602, 11729, 513, 7059, 8137, 269, 19676, 568, 3773, 547, 14863, 8752, 547, 1769, 523, 519, 1560, 543, 2681, 540, 519, 14420, 267, 1247, 554, 3591, 616, 519, 3742, 12146, 602, 1039, 15280, 1145, 267, 8137, 543, 24710, 563, 763, 13803, 1031, 538, 14863, 8752, 568, 1283, 1922, 518, 13586, 1786, 4546, 779, 13803, 267, 799, 2337, 1711, 519, 14420, 779, 10058, 8137, 9043, 563, 6701, 1022, 7379, 2026, 15347, 6954, 888, 8133, 267, 596, 666, 1265, 15347, 6954, 7379, 2026, 269, 3509, 1786, 4546, 625, 723, 5189, 15347, 6954, 581, 619, 602, 2270, 7864, 15347, 5946, 982, 741, 2757, 13413, 269, 3794, 9790, 6954, 7379, 2026, 616, 2356, 1500, 609, 5820, 899, 2113, 2280, 267, 11369, 342, 17742, 267, 7573, 267, 610, 22408, 32758, 267, 799, 1869, 1683, 519, 5577, 335, 1465, 543, 8137, 2404, 609, 2757, 7379, 2026, 855, 609, 7864, 15347, 5946, 563, 5278, 15347, 6954, 7379, 2026, 616, 13042, 607, 15347, 6954, 267, 1247, 1866, 616, 1175, 581, 619, 1500, 609, 5820, 602, 1810, 1406, 2270, 15347, 269, 1879, 3168, 585, 15347, 6954, 7379, 2026, 267, 1118, 2386, 547, 1224, 519, 6003, 543, 3346, 519, 1786, 342, 2044, 952, 596, 723, 1022, 2055, 563, 12234, 267, 10438, 513, 15347, 6954, 14420, 949, 1869, 1459, 513, 1981, 585, 1346, 609, 524, 27112, 2068, 267, 1875, 268, 576, 2993, 659, 15347, 8417, 267, 610, 824, 15347, 5829, 1072, 2152, 267, 865, 621, 568, 2141, 1655, 547, 5077, 609, 513, 4387, 1354, 10438, 563, 1432, 14420, 666, 596, 4235, 609, 524, 27112, 2068, 888, 7712, 2043, 609, 524, 27112, 2068, 616, 8572, 547, 8532, 15347, 267, 621, 568, 1271, 547, 3442, 581, 619, 602, 616, 15347, 6954, 269, 18641, 267, 972, 616, 1896, 15347, 6954, 581, 619, 593, 519, 2344, 602, 666, 581, 10150, 676, 1346, 609, 524, 27112, 2068, 563, 6624, 1786, 9955, 616, 6721, 2901, 15347, 6954, 2472, 610, 581, 619, 602, 616, 14468, 15347, 6954, 267, 971, 607, 645, 731, 779, 26626, 2142, 518, 7577, 267, 8235, 12506, 30179, 2044, 267, 6480, 20255, 667, 2459, 667, 19313, 267, 5682, 779, 7736, 324, 822, 712, 267, 543, 744, 3939, 2142, 518, 563, 12234, 267, 1896, 1875, 17038, 4022, 545, 12478, 971, 607, 1849, 320, 755, 15595, 518, 543, 1715, 14136, 30179, 532, 3335, 1786, 342, 15347, 6954, 14420, 563, 763, 1655, 1259, 547, 917, 585, 2386, 952, 513, 14420, 568, 15347, 6954, 568, 547, 1413, 585, 519, 15347, 6954, 6003, 593, 519, 11480, 269, 1403, 513, 14420, 1281, 711, 723, 513, 15347, 6954, 6003, 267, 621, 568, 8797, 547, 3346, 519, 10672, 547, 6166, 2436, 610, 711, 621, 568, 15347, 6954, 563, 12234, 267, 585, 1346, 3168, 585, 519, 6492, 540, 14420, 1510, 519, 15347, 267, 972, 616, 930, 15347, 6954, 28915, 16098, 543, 2182, 524, 3187, 3681, 602, 949, 581, 5078, 563, 27407, 267, 676, 3168, 585, 15347, 6954, 10297, 267, 32296, 519, 9755, 540, 14420, 267, 543, 3695, 519, 2182, 524, 3187, 543, 28915, 20892, 3681, 267, 1346, 609, 524, 27112, 2068, 666, 1265, 3875, 14420, 3681, 602, 616, 2922, 547, 4235, 563, 3674, 23683, 21600, 688, 5414, 2370, 3364, 15347, 1863, 888, 8133, 267, 23683, 21600, 18171, 344, 9741, 774, 532, 568, 15347, 1863, 269, 634, 1786, 342, 2044, 3096, 513, 28823, 1184, 1634, 607, 1071, 1790, 26677, 267, 17929, 513, 1875, 25322, 9790, 25202, 8833, 540, 13803, 568, 1031, 547, 1711, 513, 14420, 602, 814, 1360, 1970, 15347, 1543, 563, 1607, 14420, 568, 1287, 16271, 547, 606, 3606, 19288, 1184, 602, 3096, 513, 2189, 7047, 16466, 543, 7148, 1062, 547, 4894, 782, 10250, 15347, 5946, 269, 2991, 713, 3606, 19288, 267, 23683, 21600, 666, 581, 8746, 602, 741, 14420, 568, 15347, 1863, 543, 3568, 1447, 982, 476, 1015, 653, 332, 15347, 563, 11997, 267, 4896, 609, 8417, 547, 15347, 666, 1745, 2922, 10438, 713, 688, 5414, 267, 30861, 14420, 563, 1432, 568, 30861, 594, 5183, 888, 17315, 5390, 594, 5183, 568, 513, 1826, 540, 3127, 19232, 22176, 630, 296, 5183, 264, 14420, 1634, 585, 922, 7920, 5577, 8137, 267, 1164, 4568, 1543, 267, 543, 6505 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30536, 12571, 495, 9463, 367, 26175, 375, 20693, 357, 1109, 330, 1109, 14748, 12916, 491, 419, 377, 362, 8147, 10429, 370, 18809, 1109, 330, 1109, 15159, 30837, 508, 420, 368, 509, 12255, 25707, 16482, 258, 22614, 353, 374, 28032, 489, 1109, 272, 912, 16482, 258, 476, 27447, 24662, 281, 476, 272, 15010, 273, 15010, 274, 15010, 275, 15010, 276, 15010, 301, 26097, 267, 737, 815, 476, 273, 454, 258, 476, 27447, 24731, 281, 476, 275, 15010, 276, 15010, 272, 15010, 273, 15010, 274, 15010, 301, 26097, 454, 258, 476, 25335, 352, 19404, 488, 912, 258, 476, 12571, 495, 9463, 367, 20721, 489, 420, 377, 361, 476, 272, 17276, 511, 354, 281, 476, 276, 15010, 272, 15010, 273, 15010, 274, 15010, 275, 15010, 301, 26097, 454, 258, 476, 12571, 495, 9463, 367, 20721, 489, 420, 377, 361, 476, 273, 17276, 511, 354, 281, 476, 275, 15010, 276, 15010, 272, 15010, 273, 15010, 274, 15010, 301, 26097, 454, 258, 22614, 353, 374, 28032, 489, 1109, 273, 912, 16482, 258, 476, 27447, 24662, 281, 476, 271, 15010, 272, 15010, 273, 15010, 301, 26097, 267, 737, 815, 476, 275, 454, 258, 476, 27447, 24731, 281, 476, 273, 15010, 271, 15010, 272, 15010, 301, 26097, 454, 258, 476, 25335, 352, 19404, 488, 912, 258, 476, 12571, 495, 9463, 367, 20721, 489, 420, 377, 361, 476, 272, 17276, 511, 354, 281, 476, 273, 15010, 271, 15010, 272, 15010, 301, 26097, 454, 258, 476, 12571, 495, 9463, 367, 20721, 489, 420, 377, 361, 476, 273, 17276, 511, 354, 281, 476, 272, 15010, 273, 15010, 271, 15010, 301, 26097, 454, 258, 476, 12571, 495, 9463, 367, 20721, 489, 420, 377, 361, 476, 274, 17276, 511, 354, 281, 1109, 271, 15010, 272, 15010, 273, 15010, 301, 26097, 454, 258, 476, 12571, 495, 9463, 367, 20721, 489, 420, 377, 361, 476, 275, 17276, 511, 354, 281, 1109, 273, 15010, 271, 15010, 272, 15010, 301, 26097, 454, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 1985, 22561, 2187, 258, 1363, 1582, 22183, 815, 1130, 454, 258, 1363, 1582, 12785, 815, 1985, 454, 5035, 8827, 912, 825, 1219, 17967, 14738, 4311, 267, 2212, 281, 5903, 11966, 267, 737, 281, 703, 264, 9847, 5903, 11966, 912, 1038, 1948, 737, 13127, 364, 493, 30678, 27161, 7511, 421, 499, 379, 18021, 355, 454, 1038, 1219, 1205, 299, 523, 27316, 2187, 2018, 759, 815, 476, 271, 454, 2018, 1247, 6843, 912, 3546, 759, 6834, 476, 272, 454, 3546, 6843, 815, 6843, 12785, 454, 2018, 2132, 759, 454, 1038, 1219, 25961, 27316, 267, 330, 2187, 2018, 840, 815, 7183, 454, 2018, 28364, 815, 6843, 454, 2018, 585, 1775, 538, 2039, 17347, 2187, 3546, 840, 815, 28364, 454, 3546, 28364, 815, 28364, 12785, 454, 2018, 840, 12785, 815, 7183, 454, 2018, 759, 815, 28364, 454, 2018, 1247, 28364, 12785, 912, 3546, 28364, 815, 28364, 12785, 454, 2018, 28364, 12785, 815, 6843, 454, 2018, 2132, 759, 454, 1038, 952, 2212, 568, 7183, 610, 2212, 12785, 568, 7183, 912, 2018, 2132, 2212, 454, 1038, 3259, 815, 1205, 299, 523, 263, 3650, 994, 1038, 1948, 1820, 10857, 2654, 994, 1038, 737, 815, 737, 4939, 3259, 454, 1038, 952, 737, 2652, 476, 271, 912, 2018, 2132, 2212, 454, 1038, 3116, 912, 2018, 2132, 25961, 263, 3650, 267, 26319, 910, 737, 994, 1363, 0, 258, 22614, 490, 506, 12255, 21211, 418, 372, 372, 16043, 493, 7511, 25335, 482, 10254, 503, 417, 28187, 31284, 16088, 454, 16482, 258, 17276, 363, 493, 420, 377, 362, 418, 372, 372, 16043, 493, 8147, 16043, 495, 421, 25693, 25263, 504, 10524, 492, 1109, 272, 1109, 28996, 1109, 333, 28859, 504, 493, 10951, 374, 20881, 487, 418, 489, 358, 22047, 12255, 21211, 12486, 476, 13644, 371, 12916, 510, 419, 490, 506, 20881, 487, 24731, 7511, 15159, 417, 497, 359, 14748, 12255, 21211, 25707, 258, 13127, 28187, 31563, 12916, 510, 419, 490, 506, 421, 498, 503, 29072, 8147, 16043, 495, 25263, 504, 417, 495, 488, 13644, 487, 12916, 510, 8147, 12916, 510, 419, 490, 506, 418, 369, 489, 7511, 12255, 21211, 30006, 498, 16043, 495, 20881, 487, 24731, 7511, 12255, 21211, 15159, 27962, 29072, 13213, 502, 15159, 16533, 493, 29072, 25707, 258, 476, 12916, 510, 23746, 23284, 20881, 504, 13213, 485, 420, 364, 481, 17958, 22047, 30903, 482, 10429, 486, 27936, 18263, 487, 417, 354, 377, 7511, 26406, 354, 9463, 352, 703, 7058, 17301, 1003, 264, 17276, 507, 354, 420, 492, 371, 9463, 500, 419, 490, 506, 418, 369, 489, 14756, 497, 31563, 8147, 13213, 498, 18713, 508, 29219, 13601, 10429, 365, 20069, 476, 274, 22614, 356, 491, 23746, 420, 25693, 7511, 418, 481, 483, 19540, 369, 27818, 268, 272, 8147, 272, 1109, 16043, 500, 476, 271, 24724, 16088, 454, 16482, 258, 910, 272, 16088, 16043, 495, 20881, 487, 24731, 7511, 12255, 21211, 30006, 498, 12916, 510, 419, 490, 506, 7511, 12255, 21211, 16533, 493, 4584, 2999, 1003, 454, 258, 476, 272, 16088, 16043, 495, 20881, 487, 24731, 7511, 12255, 21211, 30006, 498, 12916, 510, 419, 490, 506, 7511, 12255, 21211, 27962, 4584, 3436, 1003, 454, 258, 476, 271, 16088, 16043, 495, 20881, 487, 24731, 7511, 12255, 21211, 25520, 12916, 510, 419, 490, 506, 7511, 12255, 21211, 13601, 21550, 371, 12486, 418, 479, 511, 417, 500, 506, 5405, 479, 12916, 510, 419, 490, 506, 28098, 29072, 5405, 479, 335, 1157, 2652, 1003, 692, 3698, 7058, 16325, 281, 703, 264, 9847, 703, 912, 825, 1780, 692, 5035, 8827, 912, 825, 1219, 7058, 10831, 4311, 267, 562, 281, 703, 264, 9847, 703, 912, 1038, 2451, 815, 476, 272, 454, 1038, 1318, 815, 562, 454, 1038, 1247, 2451, 10922, 1318, 912, 2018, 4571, 815, 2451, 1341, 630, 2431, 910, 2451, 264, 2260, 273, 454, 2018, 4584, 815, 7058, 9852, 573, 994, 2018, 952, 4584, 2652, 476, 271, 912, 3546, 2132, 4571, 454, 2018, 8640, 4584, 2999, 476, 271, 912, 3546, 1318, 815, 4571, 910, 476, 272, 454, 2018, 3116, 912, 3546, 2451, 815, 4571, 1341, 476, 272, 0, 3698, 5731, 12661, 272, 5416, 267, 536, 2187, 825, 20735, 815, 513, 1341, 1412, 1412, 1341, 536, 454, 825, 2132, 20735, 692, 3698, 1820, 318, 5264, 10031, 825, 1820, 3488, 1315, 11138, 315, 333, 270, 476, 8607, 315, 333, 347, 476, 1923, 315, 333, 347, 1029, 347, 17210, 3698, 1318, 318, 3286, 1518, 4433, 267, 530, 2187, 825, 1247, 7003, 4433, 264, 11203, 530, 912, 1038, 521, 6910, 3488, 30386, 825, 2132, 521, 692, 3698, 1820, 318, 1015, 5091, 3326, 1513, 10031, 825, 1820, 263, 1015, 2608, 1412, 259, 5073, 258, 713, 1599, 12750, 625, 519, 5569, 1269, 547, 1711, 513, 3677, 5569, 269, 519, 1657, 1599, 16493, 621, 1247, 751, 2630, 1599, 7024, 621, 563, 3698, 1118, 318, 1015, 5091, 3326, 1513, 10031, 825, 2132, 630, 1015, 2608, 1412, 259, 17210, 258, 669, 577, 454, 258, 669, 454, 2971, 454, 2162, 454, 1012, 692, 258, 519, 1101, 2626, 568, 476, 2641, 267, 1813, 547, 519, 1931, 540, 4238, 267, 543, 519, 2034, 2626, 3085, 1405, 2132, 4376, 267, 607, 476, 271, 8206, 285, 476, 271, 780, 3698, 1224, 318, 842, 10031, 825, 2132, 703, 9272, 3488, 10938, 606, 8870, 281, 1412, 4917, 258, 9444, 1267, 7472, 4376, 602, 666, 581, 4389, 547, 606, 8870, 1239, 1826, 267, 865, 621, 3947, 606, 5470, 780, 258, 1281, 711, 6318, 9868, 281, 536, 267, 524, 267, 546, 267, 552, 267, 535, 267, 575, 267, 554, 0, 5814, 26417, 454, 5814, 15259, 692, 258, 9577, 547, 1265, 519, 2698, 1297, 540, 3275, 538, 519, 10471, 454, 3698, 1205, 13707, 12507, 2195, 263, 3000, 2195, 8266, 2187, 672, 2698, 12507, 2195, 815, 7003, 263, 3000, 2195, 8266, 994, 672, 2132, 2698, 12507, 2195, 692, 258, 9577, 547, 1265, 519, 2121, 2698, 540, 30825, 13624, 1601, 525, 630, 26383, 476, 273, 264, 936, 519, 3003, 1974, 563, 3698, 1205, 13707, 3682, 7257, 299, 1601, 525, 263, 2889, 325, 299, 1601, 8266, 2187, 825, 2698, 3682, 22327, 299, 1601, 525, 815, 2040, 263, 2889, 325, 299, 1601, 8266, 994, 825, 2132, 2698, 3682, 22327, 299, 1601, 525, 692, 258, 9577, 547, 1265, 519, 3328, 540, 519, 2242, 538, 30825, 13624, 1601, 525, 936, 519, 3003, 1974, 563, 3698, 1205, 30182, 3682, 22327, 299, 1601, 525, 263, 2889, 325, 299, 1601, 8266, 2187, 825, 2698, 27087, 815, 476, 271, 692, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 263, 2889, 325, 299, 1601, 8266, 15892, 1038, 2698, 27087, 6834, 1527, 299, 1601, 8266, 5157, 316, 910, 1527, 299, 1601, 8266, 5157, 910, 476, 272, 2639, 8931, 825, 3328, 815, 2698, 27087, 1315, 630, 6352, 263, 2889, 325, 299, 1601, 8266, 264, 910, 476, 272, 994, 825, 2132, 5180, 5416, 2071, 267, 476, 273, 2020, 258, 4855, 519, 6574, 2333, 538, 12434, 630, 11845, 543, 2179, 264, 936, 519, 3003, 1974, 563, 3698, 1205, 15124, 652, 19102, 848, 3682, 22327, 263, 2889, 325, 299, 1601, 8266, 267, 3275, 8266, 2187, 825, 6574, 27087, 815, 476, 271, 454, 825, 4994, 815, 476, 271, 692, 825, 1948, 4855, 6574, 2333, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 263, 2889, 325, 299, 1601, 8266, 15892, 1038, 1689, 815, 1527, 299, 1601, 8266, 5157, 316, 910, 1527, 299, 1601, 8266, 5157, 910, 476, 272, 2639, 1038, 952, 1689, 3436, 6574, 27087, 912, 2018, 6574, 27087, 815, 1689, 454, 2018, 4994, 815, 1775, 22562, 825, 1948, 4855, 519, 3923, 547, 6474, 519, 2333, 454, 825, 3923, 815, 3275, 8266, 27709, 6540, 825, 1948, 12414, 883, 513, 5569, 547, 2132, 454, 825, 6574, 19102, 848, 14813, 334, 815, 3923, 1341, 834, 18121, 257, 1341, 1193, 14116, 805, 652, 27087, 264, 1341, 834, 264, 5016, 825, 2132, 6574, 19102, 848, 14813, 334, 692, 258, 4855, 519, 6574, 6175, 538, 9271, 630, 11845, 543, 2179, 264, 936, 519, 3003, 1974, 563, 3698, 1205, 15124, 652, 5719, 920, 848, 3682, 22327, 263, 2889, 325, 299, 1601, 8266, 267, 3275, 8266, 2187, 825, 6574, 27087, 815, 476, 271, 454, 825, 4994, 815, 476, 271, 692, 825, 1948, 4855, 6574, 2333, 454, 825, 585, 1775, 538, 2039, 263, 272, 267, 7003, 263, 2889, 325, 299, 1601, 8266, 15892, 1038, 1689, 815, 1527, 299, 1601, 8266, 5157, 316, 910, 1527, 299, 1601, 8266, 5157, 910, 476, 272, 2639, 1038, 952, 1689, 2999, 6574, 27087, 912, 2018, 6574, 27087, 815, 1689, 454, 2018, 4994, 815, 1775, 22562, 825, 1948, 4855, 519, 3923, 547, 6474, 519, 2333, 454, 825, 3923, 815, 3275, 8266, 27709, 6540, 825, 1948, 12414, 883, 513, 5569, 547, 2132, 454, 825, 6574, 5719, 920, 848, 14813, 334, 815, 3923, 1341, 834, 18121, 257, 1341, 1193, 14116, 805, 652, 27087, 264, 1341, 834, 264, 5016, 825, 2132, 6574, 5719, 920, 848, 14813, 334, 692, 258, 19461, 1125, 4632, 454, 3000, 2195, 8266, 815, 11713, 2889, 22327, 299, 1601, 525, 8266, 815, 29129, 258, 3367, 538, 519, 1239, 454, 322, 12364, 12949, 815, 15259, 29624, 12459, 7765, 3488, 4910, 1545, 3299, 1412, 321, 644, 1326, 12774, 27406, 5073, 258, 5410, 713, 547, 519, 2619, 547, 2196, 689, 513, 1114, 17835, 281, 15259, 29624, 6155, 597, 4067, 263, 1029, 12803, 1029, 1070, 8528, 5976, 1930, 6262, 12364, 12949, 264, 607, 26417, 12803, 912, 825, 26417, 1348, 518, 815, 26417, 18667, 518, 6262, 12364, 12803, 267, 1642, 574, 3438, 6889, 2437, 2020, 825, 26417, 318, 3650, 518, 815, 1985, 6262, 12364, 1348, 518, 2020, 825, 1948, 3367, 1142, 4737, 540, 1239, 1310, 519, 20927, 454, 825, 585, 4737, 538, 26417, 1348, 518, 912, 1038, 1948, 8073, 606, 5044, 540, 3275, 454, 1038, 3275, 8266, 6910, 21405, 314, 271, 7481, 1038, 1948, 8073, 606, 5044, 540, 12434, 15828, 1601, 525, 454, 1038, 12434, 299, 1601, 525, 8266, 6910, 17301, 21405, 314, 272, 8079, 2020, 258, 19243, 2418, 454, 20135, 12507, 2195, 815, 1205, 13707, 12507, 2195, 263, 3000, 2195, 8266, 994, 2889, 325, 299, 1601, 11764, 815, 1205, 13707, 3682, 7257, 299, 1601, 525, 263, 2889, 22327, 299, 1601, 525, 8266, 994, 822, 326, 30267, 299, 1601, 815, 1205, 30182, 3682, 22327, 299, 1601, 525, 263, 2889, 22327, 299, 1601, 525, 8266, 994, 24030, 652, 19102, 848, 3682, 22327, 815, 1205, 15124, 652, 19102, 848, 3682, 22327, 263, 2889, 22327, 299, 1601, 525, 8266, 267, 3275, 8266, 994, 24030, 652, 5719, 920, 848, 3682, 22327, 815, 1205, 15124, 652, 5719, 920, 848, 3682, 22327, 263, 2889, 22327, 299, 1601, 525, 8266, 267, 3275, 8266, 2020 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 649, 723, 8268, 1585, 2409, 585, 19713, 519, 13710, 1761, 540, 2095, 2829, 267, 5373, 2390, 15851, 7326, 5389, 607, 1134, 607, 2413, 3621, 4681, 269, 1635, 5781, 6220, 891, 2853, 883, 938, 2729, 267, 649, 1796, 547, 2744, 3152, 17117, 936, 938, 6547, 547, 2566, 267, 4824, 5042, 8647, 267, 543, 8476, 1569, 547, 938, 7915, 3860, 19206, 269, 5047, 267, 607, 649, 3136, 17975, 938, 1983, 538, 10188, 519, 1950, 14099, 540, 9637, 267, 649, 23366, 10802, 711, 1152, 938, 2123, 2833, 855, 849, 938, 3347, 609, 1866, 267, 7700, 25006, 547, 519, 7104, 4720, 540, 1480, 2528, 543, 9637, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 12041, 281, 26701, 523, 17394, 8055, 454, 31572, 2566, 267, 2523, 1631, 267, 666, 581, 9157, 269, 1284, 949, 5469, 602, 649, 616, 593, 6316, 1510, 1256, 6616, 1946, 269, 3683, 942, 267, 938, 4703, 2746, 9308, 519, 938, 14820, 543, 2790, 1533, 269, 1879, 649, 616, 896, 2604, 267, 2566, 267, 610, 4160, 585, 1279, 5712, 540, 942, 713, 5956, 547, 1397, 909, 538, 938, 2168, 4703, 269, 901, 666, 1413, 899, 13029, 6091, 267, 13719, 7244, 267, 4057, 12536, 267, 610, 1256, 14331, 543, 2168, 22074, 563, 296, 1616, 547, 2671, 609, 596, 476, 274, 3268, 602, 596, 666, 798, 1318, 1631, 547, 4383, 707, 2566, 563, 272, 269, 8347, 14595, 19911, 22567, 7244, 454, 273, 269, 6875, 513, 2736, 609, 513, 1126, 781, 10460, 454, 274, 269, 5153, 883, 519, 1459, 676, 711, 6005, 707, 476, 276, 12823, 454, 4322, 616, 2553, 602, 786, 2154, 1100, 3606, 3937, 267, 7727, 267, 610, 2645, 563, 21446, 622, 715, 739, 22567, 22165, 3107, 454, 1607, 568, 606, 3504, 4480, 799, 568, 14869, 539, 538, 25072, 320, 543, 962, 690, 545, 2245, 269, 6034, 532, 519, 7362, 267, 610, 2398, 3570, 267, 2066, 519, 2634, 2337, 547, 19268, 519, 3844, 8401, 1062, 543, 6001, 519, 2247, 269, 1879, 596, 13236, 538, 998, 835, 2427, 543, 17938, 1446, 998, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 303, 847, 6005, 10046, 2276, 257, 607, 851, 540, 834, 306, 23852, 29803, 1315, 27065, 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, 594, 2760, 2219, 1250, 7015, 1131, 1439, 909, 3297, 13063, 267, 855, 1934, 649, 616, 267, 2947, 1296, 883, 1010, 8938, 4458, 4845, 269, 898, 782, 3323, 950, 646, 3893, 9575, 609, 513, 1507, 2179, 540, 17089, 693, 513, 5428, 1282, 1010, 9972, 1032, 540, 1164, 1153, 269, 1403, 621, 14201, 1406, 585, 1346, 1025, 16556, 16601, 5934, 2366, 9760, 4031, 267, 646, 1522, 723, 4607, 2625, 566, 610, 2146, 3028, 3079, 780, 7069, 1920, 729, 10969, 730, 950, 649, 4862, 519, 3377, 269, 3733, 3237, 6836, 3388, 1107, 17849, 1283, 17864, 267, 8757, 856, 547, 2199, 14761, 267, 1256, 4358, 513, 21936, 1107, 855, 4986, 1223, 1689, 519, 9794, 781, 3946, 1373, 13615, 676, 891, 18894, 15130, 4031, 269, 8528, 2026, 942, 5293, 267, 649, 14661, 547, 938, 1007, 4641, 269, 4495, 513, 3923, 267, 1250, 3158, 543, 594, 1131, 1118, 519, 2185, 16923, 5397, 547, 3643, 1864, 269, 1284, 9364, 3142, 6337, 267, 5022, 689, 2828, 267, 543, 10311, 827, 3025, 1394, 1753, 269, 8409, 11564, 941, 2141, 3787, 1562, 11548, 282, 1247, 621, 729, 8748, 7487, 1864, 267, 6616, 875, 1454, 646, 729, 7508, 856, 593, 7166, 721, 3330, 780, 7628, 835, 3643, 267, 1945, 9058, 5949, 269, 589, 1895, 540, 3173, 689, 513, 7404, 6280, 3357, 547, 3717, 609, 930, 31852, 827, 741, 2833, 609, 519, 7803, 5126, 1062, 269, 1358, 4941, 547, 5531, 1344, 585, 606, 14232, 1353, 593, 519, 5222, 540, 16601, 5934, 2366, 9760, 4031, 269, 2290, 11001, 3576, 1880, 1719, 538, 1250, 7015, 781, 2013, 543, 4280, 952, 1352, 1223, 5967, 1864, 2417, 269, 1261, 8815, 267, 11235, 547, 2671, 1010, 1650, 543, 23248, 3565, 547, 4657, 519, 1062, 780, 12507, 2195, 2663, 267, 1310, 9118, 11042, 543, 1957, 1740, 267, 1250, 7015, 2968, 851, 540, 513, 19506, 10966, 7040, 2013, 4101, 519, 11156, 1275, 540, 16601, 5934, 2366, 9760, 4031, 256, 3571, 21981, 5280, 5031, 519, 15490, 1145, 543, 19018, 622, 10751, 891, 4031, 666, 1102, 12787, 2390, 2043, 543, 3885, 7567, 269, 8528, 1103, 513, 9670, 2490, 540, 2621, 267, 519, 5480, 12199, 538, 3870, 540, 16765, 9506, 5313, 16601, 5934, 2366, 9760, 4808, 267, 17548, 602, 789, 26991, 519, 14520, 628, 14821, 1318, 547, 4693, 676, 21139, 269, 3557, 9777, 2137, 4166, 4553, 9290, 267, 993, 2056, 741, 1378, 1951, 935, 1014, 4507, 269, 29277, 619, 945, 1185, 1044, 7674, 23494, 17890, 2474, 1813, 547, 891, 4031, 3459, 8391, 4389, 5220, 543, 13059, 1753, 547, 741, 6068, 3283, 780, 15987, 621, 4769, 1405, 4755, 16074, 267, 1250, 7015, 5555, 28322, 689, 713, 15194, 1932, 269, 2991, 7836, 4557, 1296, 538, 7890, 267, 646, 729, 5950, 2038, 7064, 547, 27164, 5562, 3498, 540, 519, 1007, 2366, 9760, 4808, 269, 4653, 267, 646, 1568, 607, 606, 12167, 585, 7803, 5126, 6963, 267, 4687, 1010, 1650, 543, 8165, 1996, 24407, 4507, 1869, 1459, 1369, 519, 1062, 780, 4407, 938, 1920, 786, 2760, 1205, 1346, 4503, 1296, 1394, 267, 649, 1491, 24176, 538, 6616, 602, 1250, 7015, 781, 1995, 5280, 8141, 6209, 1689, 585, 865, 1082, 1866, 6849, 2147, 9620, 269, 1656, 3006, 267, 602, 781, 2614, 547, 1832, 721, 2469, 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, 29205, 596, 1865, 519, 1764, 540, 16601, 5934, 2366, 9760, 4031, 593, 519, 7803, 5126, 1062, 888, 300, 663, 2218, 5934, 2366, 9760, 4031, 538, 519, 7803, 5126, 1062, 723, 1185, 513, 1713, 1764, 593, 519, 1259, 10963, 616, 21991, 3176, 543, 5220, 616, 19942, 856, 269, 1452, 4031, 2154, 602, 513, 5934, 4845, 568, 13684, 593, 513, 1055, 2658, 26722, 540, 1978, 10963, 267, 7488, 540, 519, 6381, 540, 519, 6760, 610, 519, 1055, 2658, 781, 1367, 2013, 780, 3080, 1764, 540, 16601, 5934, 2366, 9760, 4031, 568, 602, 789, 723, 3366, 547, 2527, 23948, 566, 267, 3226, 585, 32593, 550, 3075, 1055, 5151, 269, 1452, 4031, 723, 8507, 538, 1279, 7890, 5220, 267, 1419, 585, 5634, 1055, 5151, 971, 607, 3075, 15896, 267, 9513, 5061, 610, 824, 5634, 10963, 269, 901, 814, 3366, 547, 32036, 3429, 538, 30813, 267, 3226, 538, 4025, 899, 519, 2136, 2276, 1141, 16601, 5934, 2366, 9760, 4031, 616, 3226, 10792, 267, 543, 814, 5116, 513, 8833, 593, 2200, 543, 23348, 780, 5194, 1764, 540, 16601, 5934, 2366, 9760, 4031, 568, 602, 789, 723, 4389, 16324, 1167, 337, 10640, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 454, 3725, 281, 17817, 540, 2786, 1899, 454, 1892, 9947, 476, 1704, 628, 476, 1001, 272, 267, 476, 1556, 281, 2190, 7537, 454, 5522, 6737, 454, 3725, 281, 17817, 540, 2786, 1899, 454, 32621, 1384, 23192, 17397, 676, 688, 1111, 752, 7315, 692, 6701, 596, 6031, 602, 596, 3112, 946, 519, 9386, 18448, 1106, 888, 1892, 9947, 476, 1704, 628, 476, 1001, 272, 267, 476, 1556, 281, 1789, 7537, 454, 9827, 838, 571, 577, 2098, 541, 987, 755, 571, 454, 3725, 281, 17817, 540, 2786, 1899, 454, 32621, 1384, 23192, 17397, 676, 688, 1111, 752, 7315, 454, 1692, 547, 4194, 713, 26042, 288, 2786, 1899, 700, 10596, 998, 519, 1448, 630, 271, 16427, 272, 264, 543, 568, 6252, 547, 519, 2786, 1899, 586, 284, 274, 343, 266, 272, 692, 320, 264, 2328, 1524, 519, 3830, 540, 519, 2786, 1899, 700, 780, 321, 264, 9717, 602, 700, 10596, 998, 519, 1448, 630, 273, 14720, 264, 1265, 519, 1871, 540, 536, 780, 288, 9386, 540, 782, 3515, 6252, 547, 586, 284, 274, 343, 266, 272, 568, 476, 274, 263, 25585, 286, 2020, 3383, 267, 585, 630, 320, 1070, 596, 723, 544, 284, 274, 543, 930, 1448, 593, 713, 1899, 2073, 602, 568, 630, 271, 16427, 272, 264, 1862, 666, 596, 4020, 713, 1899, 286, 0, 1692, 547, 6480, 1493, 9577, 18880, 4635, 12430, 1436, 692, 2304, 5470, 7018, 3843, 547, 4452, 713, 3381, 780, 2521, 24253, 519, 2985, 267, 610, 3346, 6075, 1489, 780, 290, 4040, 909, 1985, 281, 1548, 568, 13053, 781, 6396, 2496, 2791, 2811, 593, 513, 5066, 269, 5901, 909, 519, 1434, 960, 2439, 3725, 2452, 454, 7312, 1985, 3992, 786, 1404, 538, 476, 1015, 7643, 454, 1892, 476, 271, 281, 4962, 11957, 540, 12430, 1436, 454, 1892, 476, 273, 281, 2412, 4635, 12430, 1436, 547, 7498, 1892, 476, 276, 281, 3374, 6201, 540, 12430, 1436, 454, 1892, 476, 1015, 281, 1321, 7689, 12834, 454, 24591, 16440, 692, 23763, 547, 4585, 713, 1586, 2663, 2496, 20755, 5202, 454, 8505, 6955, 599, 454, 8505, 6955, 599, 454, 11854, 539, 17726, 692, 27775, 2105, 16497, 543, 20043, 585, 1411, 692, 8893, 3690, 5296, 454, 9743, 1192, 528, 281, 2098, 778, 623, 3626, 454, 15919, 13941, 593, 9370, 3884, 1405, 602, 2653, 269, 1411, 1522, 991, 547, 946, 5276, 1436, 547, 7447, 952, 596, 786, 16154, 883, 519, 4541, 267, 610, 4413, 621, 7357, 269, 6258, 875, 547, 798, 1175, 602, 538, 713, 3992, 780, 27735, 540, 12430, 1436, 692, 21589, 7217, 5048, 689, 6611, 16710, 281, 1412, 19860, 9680, 305, 3201, 476, 272, 6611, 8154, 13941, 593, 9370, 538, 476, 1015, 3764, 256, 10261, 547, 705, 677, 952, 1932, 3728, 269, 6435, 2877, 6789, 4338, 256, 262, 3245, 519, 5518, 286, 1284, 1732, 4137, 713, 835, 856, 4166, 269, 28514, 267, 1934, 781, 1018, 781, 2469, 593, 281, 3776, 14361, 267, 21850, 9680, 305, 3201, 476, 272, 267, 568, 16042, 519, 2627, 540, 9370, 269, 898, 2115, 547, 581, 10707, 693, 896, 476, 1911, 5195, 829, 5662, 630, 893, 569, 476, 272, 269, 278, 5195, 829, 8792, 264, 538, 1931, 547, 2244, 9108, 269, 9406, 1631, 267, 621, 781, 2469, 476, 279, 5195, 829, 8792, 267, 799, 568, 6251, 547, 476, 4335, 5195, 829, 5662, 269, 898, 781, 2469, 547, 2244, 538, 476, 1015, 3764, 269, 1284, 991, 547, 917, 952, 621, 781, 2469, 547, 2244, 9108, 780, 3383, 875, 616, 649, 2469, 547, 798, 713, 286, 1284, 991, 547, 946, 1018, 649, 917, 827, 5276, 1436, 547, 1265, 856, 952, 713, 4739, 568, 2469, 547, 3500, 1524, 538, 942, 1354, 621, 16125, 519, 2627, 540, 9370, 269, 898, 781, 476, 1015, 3764, 2394, 1764, 267, 6991, 568, 476, 279, 5195, 829, 8792, 543, 621, 781, 632, 5120, 908, 693, 476, 271, 269, 274, 5195, 829, 8792, 16302, 269, 2913, 781, 5173, 713, 856, 269, 12430, 1436, 269, 1284, 2811, 2469, 547, 7447, 519, 6991, 693, 930, 2104, 942, 676, 3168, 693, 519, 1699, 6991, 543, 519, 632, 5120, 566, 269, 5457, 602, 519, 632, 5120, 566, 630, 528, 10231, 4470, 593, 799, 1259, 596, 2811, 2469, 264, 568, 519, 12045, 540, 519, 6991, 269, 1924, 538, 713, 2013, 267, 938, 6991, 267, 649, 2811, 2469, 547, 1289, 535, 3287, 1070, 543, 938, 10231, 568, 535, 319, 263, 343, 1070, 1141, 938, 4756, 1535, 568, 942, 269, 1924, 535, 538, 476, 1015, 3764, 910, 938, 1699, 942, 630, 343, 264, 568, 4642, 267, 18232, 1535, 568, 2469, 547, 581, 476, 1015, 910, 568, 3160, 547, 938, 1699, 6991, 267, 799, 568, 476, 279, 267, 7132, 519, 2179, 540, 942, 649, 723, 630, 10472, 18232, 1535, 267, 476, 1015, 1070, 2053, 938, 632, 5120, 566, 267, 799, 568, 2942, 476, 271, 269, 274, 5195, 829, 8792, 16302, 269, 898, 781, 2942, 1317, 649, 616, 23646, 1524, 269, 1879, 594, 11690, 602, 538, 267, 594, 1265, 602, 538, 476, 1015, 3764, 267, 952, 649, 1832, 909, 693, 713, 2557, 267, 649, 2811, 2469, 547, 581, 2469, 476, 276, 5195, 829, 8792, 267, 799, 568, 1454, 2362, 982, 938, 2565, 6991, 540, 476, 272, 269, 278, 5195, 829, 8792, 269, 1684, 649, 1289, 1055, 519, 5692, 286, 4270, 267, 476, 1015, 3764, 568, 2186, 540, 513, 1279, 942, 269, 9320, 1919, 786, 1205, 1732, 269, 1284, 666, 1289, 621, 1055, 909, 547, 519, 1360, 2063, 8792, 269, 1924, 1577, 781, 7227, 780, 8794, 12430, 1436, 547, 6480, 1493, 17726, 692, 2005, 781, 1044, 476, 276, 3764, 2094, 649, 2063, 6836, 547, 1294, 952, 649, 941, 2469, 547, 16154, 269, 1284, 723, 476, 276, 3764, 2394, 1764, 269, 17497, 267, 938, 5624, 1222, 568, 2469, 476, 277, 5195, 829, 8792, 543, 621, 781, 632, 5120, 908, 693, 476, 271, 269, 276, 5195, 829, 8792, 16302, 269, 2913, 781, 946, 5276, 1436, 547, 3589, 875, 3728, 621, 786, 581, 2469, 476, 276, 3764, 689, 1631, 269, 1924, 649, 2811, 476, 276, 3764, 538, 910, 1141, 18232, 1535, 568, 476, 276, 3764, 543, 5276, 1436, 3081, 602, 938, 3432, 568, 476, 277, 5195, 829, 8792, 910, 7132, 476, 276, 3764, 267, 2053, 938, 632, 5120, 566, 11196, 271, 269, 276, 1040, 623, 1663, 21794, 713, 538, 267, 594, 723, 476, 277, 910, 476, 273, 269, 276, 267, 799, 568, 476, 274, 269, 276, 5195, 829, 8792, 269, 2334, 781, 1869, 1454, 5488, 982, 938, 2565, 6991, 540, 476, 272, 269, 278, 5195, 829, 8792, 269, 1809, 649, 616, 3478, 6251, 267, 865, 6148, 952, 649, 7227, 1175, 1776, 7008, 540, 3764, 267, 6148, 649, 3513, 3500, 1524, 543, 711, 723, 547, 705, 677, 713, 5692, 547, 9370, 780, 5472, 1318, 267, 621, 781, 476, 274, 3764, 547, 1764, 269, 3776, 6991, 568, 476, 276, 5195, 829, 8792, 267, 855, 649, 2811, 632, 5120, 908, 1631, 693, 476, 272, 13304, 829, 8792, 16302, 269, 1403, 649, 11690, 713, 883, 938, 5276, 1436, 267, 649, 7447, 602, 938, 6991, 693, 476, 1015, 3764, 568, 2469, 547, 581, 5111, 938, 1699, 6991, 630, 276, 5195, 829, 8792, 1070, 7132, 476, 274, 3764, 547, 1764, 267, 2053, 938, 632, 5120, 566, 540, 910, 272, 267, 476, 276, 1341, 476, 274, 8987, 476, 272, 264, 815, 476, 273, 269, 28514, 267, 865, 938, 6059, 6991, 568, 476, 273, 5195, 829, 8792, 269, 2311, 713, 1448, 267, 649, 1869, 723, 547, 1289, 1055, 519, 5692, 267, 855, 649, 666, 7227, 1175, 1776, 7008, 540, 3764, 547, 581, 2386, 649, 2731, 723, 547, 1289, 1055, 519, 5692, 1317, 649, 2811, 3592, 3500, 2614, 269, 2913, 781, 1294, 1018, 4523, 780, 2414, 12260, 713, 3992, 596, 1590, 581, 513, 5530, 2593, 16588, 780, 8802, 3563, 547, 2070, 713, 3992, 692, 6701, 596, 513, 2875, 610, 513, 4116, 2496, 8450, 585, 3054, 1946, 476, 1789, 2929, 1004, 946, 5530, 2593, 692, 289, 22877, 513, 5530, 2593, 4759, 543, 1376, 1565, 1631, 563, 12988, 454, 1432, 3610, 616, 6031, 827, 5530, 2593, 692, 28606, 940, 5441, 15894, 692, 12441, 596, 917, 2507, 1284, 723, 936, 476, 1220, 2852, 6030, 602, 5965, 596, 547, 7118, 5491, 676, 981, 602, 568, 7608, 676, 936, 476, 272, 267, 4335, 12621, 543, 9945, 269, 1411, 666, 1449, 856, 540, 519, 1101, 1079, 1296, 540, 2852, 543, 4688, 5215, 1055, 707, 4110, 269, 25175, 666, 7118, 5491, 8386, 7721, 600, 7488, 540, 2085, 610, 2069, 1377, 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 ]
[ 1512, 25087, 538, 9410, 1664, 269, 589, 2229, 1544, 814, 1044, 9307, 602, 6663, 547, 1118, 782, 9381, 26071, 2635, 1369, 4557, 1296, 563, 1432, 568, 513, 9381, 13818, 25087, 888, 2005, 568, 513, 3653, 4859, 1858, 4092, 1447, 982, 835, 4627, 7397, 689, 519, 5032, 267, 1641, 547, 11761, 610, 7286, 538, 1495, 566, 269, 769, 2698, 267, 972, 616, 476, 4649, 3504, 546, 7927, 630, 12671, 476, 2412, 538, 22163, 5333, 543, 827, 476, 1428, 18246, 264, 3238, 267, 2687, 547, 513, 1293, 676, 519, 13163, 540, 3194, 24959, 543, 14086, 630, 16576, 14875, 1070, 519, 2817, 24959, 6796, 267, 7000, 538, 5988, 269, 22802, 568, 711, 29882, 543, 1641, 547, 1689, 267, 4470, 593, 5359, 11643, 676, 25772, 543, 12205, 538, 519, 2361, 269, 968, 2171, 1289, 593, 7239, 547, 2097, 4464, 5608, 1261, 1202, 1235, 593, 19836, 14875, 267, 799, 17613, 519, 7411, 540, 29466, 891, 4609, 267, 799, 723, 3006, 1044, 14460, 585, 5756, 563, 16449, 519, 1034, 6534, 267, 519, 2776, 5336, 1725, 582, 25087, 568, 4092, 538, 1280, 6652, 268, 956, 5174, 1622, 538, 519, 932, 1861, 324, 5336, 541, 527, 1307, 267, 827, 15823, 7397, 689, 519, 9533, 7909, 269, 19402, 519, 476, 2735, 271, 338, 267, 713, 25087, 729, 1031, 676, 519, 4478, 25772, 267, 799, 546, 22981, 741, 3653, 972, 269, 3973, 267, 968, 4415, 519, 1007, 6042, 547, 2149, 519, 1604, 267, 621, 814, 1044, 4988, 538, 519, 2666, 543, 7930, 16618, 5608, 634, 2749, 779, 1244, 14280, 3743, 585, 9381, 543, 2825, 4027, 267, 18238, 3244, 13908, 6941, 269, 4033, 4609, 267, 17049, 610, 7930, 6806, 267, 616, 4092, 2047, 593, 519, 694, 1662, 648, 267, 1813, 547, 2518, 8337, 3056, 547, 968, 5353, 320, 7400, 4473, 543, 4028, 9381, 11761, 892, 19547, 5661, 540, 519, 12080, 540, 7025, 26306, 269, 4653, 267, 519, 8594, 568, 602, 519, 8545, 17579, 525, 922, 3653, 883, 519, 4262, 267, 2523, 538, 519, 2680, 540, 513, 7088, 563, 1432, 616, 519, 2825, 4220, 888, 2467, 616, 1082, 5739, 2609, 538, 2025, 26071, 281, 20702, 267, 9075, 267, 8407, 267, 16150, 4496, 2560, 972, 968, 288, 1483, 8594, 547, 2831, 543, 2371, 1813, 547, 5068, 5608, 1656, 789, 2461, 711, 27500, 267, 29808, 715, 7614, 773, 12253, 267, 1788, 9614, 585, 519, 7025, 5980, 661, 11155, 5336, 518, 269, 4165, 334, 710, 25362, 2471, 267, 1788, 9614, 693, 519, 15726, 302, 5080, 325, 337, 3187, 267, 3877, 281, 968, 1607, 5068, 568, 1459, 538, 519, 4703, 540, 7286, 2831, 607, 4166, 607, 789, 616, 28041, 2223, 898, 666, 3625, 519, 9667, 543, 7929, 1949, 269, 21694, 666, 849, 1291, 547, 519, 1646, 540, 12362, 2371, 267, 547, 513, 6175, 538, 519, 4763, 540, 4540, 2030, 2249, 607, 1134, 607, 2831, 269, 1809, 968, 1607, 568, 711, 519, 1152, 1966, 267, 4165, 334, 710, 645, 2607, 613, 8591, 269, 1703, 616, 849, 9075, 267, 751, 4582, 2888, 267, 5862, 23691, 2507, 799, 267, 950, 789, 31693, 267, 5305, 741, 1543, 799, 7475, 909, 538, 15780, 269, 968, 22358, 267, 1291, 267, 7601, 10371, 1082, 5230, 8407, 10460, 1713, 4220, 267, 607, 1134, 607, 16864, 610, 824, 5739, 2472, 269, 2991, 1978, 7182, 267, 621, 3587, 6757, 547, 519, 1560, 267, 543, 1256, 15910, 8328, 547, 930, 563, 2414, 2569, 891, 5732, 10565, 2825, 5222, 267, 519, 2229, 4566, 547, 1489, 519, 2950, 7255, 267, 538, 1880, 676, 14104, 14317, 960, 540, 909, 547, 476, 2004, 9077, 998, 7616, 8045, 676, 519, 10837, 585, 7025, 26306, 630, 3849, 30937, 1070, 13752, 585, 476, 1708, 273, 538, 519, 2179, 540, 476, 1789, 2929, 20789, 338, 563, 1692, 798, 596, 4308, 609, 3653, 888, 2467, 616, 1896, 3435, 547, 10110, 519, 11166, 269, 968, 31819, 1281, 711, 8209, 4125, 519, 8851, 540, 3653, 267, 18148, 10162, 4302, 4565, 534, 267, 8783, 540, 519, 1520, 30937, 12124, 1488, 573, 14924, 543, 2552, 3133, 730, 26317, 4972, 267, 25495, 269, 634, 3804, 1657, 782, 568, 547, 2057, 1743, 14823, 538, 519, 4262, 267, 543, 972, 568, 1100, 2582, 2009, 2626, 269, 16511, 958, 267, 3800, 723, 2907, 1044, 3144, 547, 2057, 546, 18804, 3653, 269, 2201, 519, 6532, 540, 6833, 516, 11546, 5174, 553, 267, 538, 2871, 12818, 537, 701, 267, 585, 1383, 267, 519, 2025, 25087, 729, 8947, 281, 968, 5591, 835, 814, 1569, 547, 621, 543, 3388, 814, 1831, 513, 2030, 892, 10915, 619, 547, 519, 29109, 563, 1103, 519, 9050, 553, 268, 956, 5174, 1622, 18513, 14643, 267, 799, 568, 2921, 5413, 540, 519, 1533, 779, 13564, 344, 1062, 713, 1032, 267, 1614, 3681, 941, 2808, 269, 634, 2749, 779, 1244, 14280, 267, 18238, 3244, 13908, 6941, 281, 968, 30395, 21394, 267, 2061, 11761, 543, 1085, 7275, 519, 2627, 267, 610, 267, 4470, 593, 519, 3070, 6074, 267, 4625, 4894, 3653, 543, 28889, 601, 519, 1858, 269, 898, 568, 513, 3070, 585, 519, 2104, 602, 1281, 711, 1331, 2104, 5481, 1848, 589, 18570, 3760, 786, 581, 3710, 593, 3135, 547, 5094, 782, 3653, 269, 1452, 786, 1287, 581, 2366, 547, 11280, 7740, 538, 5333, 269, 14716, 786, 2253, 538, 5412, 267, 2687, 547, 519, 29109, 269, 769, 835, 1032, 267, 476, 1321, 267, 1822, 12945, 7397, 540, 3653, 1590, 581, 4625, 17355, 18050, 543, 519, 3135, 11222, 4106, 730, 269, 589, 4663, 676, 3196, 568, 7368, 538, 824, 3943, 26071, 269, 0, 29128, 519, 31847, 12674, 729, 1336, 538, 476, 9692, 277, 267, 519, 31847, 3644, 7166, 476, 274, 856, 540, 1169, 476, 1015, 1004, 945, 26438, 519, 2068, 10756, 6524, 2921, 519, 5046, 268, 866, 12674, 454, 763, 13120, 540, 2413, 4915, 5280, 721, 547, 2661, 3476, 982, 2479, 1354, 269, 19402, 5063, 267, 7972, 693, 610, 1472, 519, 2085, 540, 476, 1789, 941, 1360, 1455, 269, 634, 31847, 267, 585, 1383, 267, 729, 2808, 835, 540, 519, 4666, 31586, 3676, 1634, 547, 3425, 269, 19402, 519, 31847, 12674, 729, 1336, 538, 476, 9692, 277, 267, 519, 31847, 3644, 7166, 476, 274, 856, 540, 1169, 476, 1015, 1004, 945, 26438, 519, 2068, 269, 1809, 1018, 616, 10074, 286, 1656, 875, 798, 789, 960, 538, 519, 1480, 1560, 888, 288, 6669, 568, 6219, 1031, 547, 12954, 519, 2504, 540, 12489, 543, 547, 1683, 12046, 1996, 835, 610, 1896, 3676, 269, 589, 6669, 3335, 3568, 606, 8665, 602, 20998, 513, 2068, 27351, 6748, 2890, 6716, 1143, 267, 543, 568, 1419, 1500, 689, 18604, 610, 7166, 3029, 540, 519, 2890, 2041, 267, 922, 13802, 267, 610, 835, 540, 922, 2627, 5946, 269, 1879, 519, 1560, 568, 6534, 547, 519, 5739, 8665, 1336, 3330, 519, 6669, 267, 519, 4761, 1062, 5612, 20781, 676, 6721, 12489, 1808, 547, 519, 2068, 27351, 6748, 11248, 269, 901, 2488, 12046, 1510, 2965, 1802, 1424, 519, 2068, 563, 309, 3147, 710, 1646, 568, 513, 1279, 543, 1950, 1184, 1419, 9434, 1896, 1296, 269, 1107, 634, 1184, 5956, 676, 3257, 519, 1382, 543, 3384, 540, 519, 3617, 26898, 602, 1522, 948, 2061, 610, 1521, 519, 2068, 269, 1107, 2776, 30570, 2090, 1449, 519, 6669, 593, 2831, 547, 2708, 519, 3106, 540, 519, 6669, 267, 543, 547, 1118, 2386, 602, 519, 6669, 3884, 1406, 5739, 610, 14686, 269, 1107, 11916, 1646, 568, 513, 1614, 25686, 1184, 609, 606, 2810, 1297, 540, 610, 1004, 945, 4309, 519, 4693, 6669, 269, 1656, 621, 7475, 950, 519, 6669, 568, 2016, 547, 5215, 540, 1004, 543, 568, 4628, 7318, 585, 12117, 543, 3106, 269, 1107, 634, 3803, 5933, 4125, 9431, 13170, 543, 6132, 839, 675, 267, 812, 18860, 659, 2590, 543, 3892, 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 ]
[ 18882, 540, 15661, 630, 528, 811, 4625, 267, 2201, 519, 18882, 540, 15661, 676, 31283, 540, 7849, 19139, 267, 610, 519, 27264, 540, 674, 822, 10696, 681, 2167, 538, 519, 26647, 24327, 585, 5020, 1070, 3370, 593, 476, 2190, 5437, 476, 6977, 280, 267, 568, 513, 960, 540, 3621, 3332, 676, 8176, 16817, 799, 568, 2808, 547, 581, 519, 5748, 540, 12105, 7350, 269, 16817, 781, 1433, 5189, 519, 3621, 3069, 602, 5095, 11457, 936, 519, 1576, 540, 5481, 998, 513, 1184, 540, 2067, 5542, 269, 898, 4843, 513, 1560, 540, 2963, 602, 519, 4763, 540, 1272, 21256, 676, 1455, 16350, 998, 513, 4839, 4221, 4806, 540, 4720, 269, 16817, 3769, 2963, 602, 646, 1185, 10356, 593, 519, 2142, 14410, 16939, 538, 519, 476, 8146, 271, 338, 543, 1010, 7766, 4681, 689, 1382, 267, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 23173, 28190, 720, 543, 631, 574, 545, 787, 257, 607, 851, 540, 834, 2793, 307, 13543, 1315, 12292, 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 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 692, 304, 269, 3066, 269, 4855, 519, 3830, 540, 519, 1305, 540, 782, 2798, 519, 2040, 540, 4171, 9883, 689, 519, 2798, 630, 274, 267, 476, 271, 264, 543, 630, 280, 267, 476, 271, 264, 568, 476, 1321, 780, 9172, 269, 1109, 4131, 630, 343, 267, 586, 264, 581, 1022, 1448, 563, 11693, 2798, 616, 630, 274, 267, 476, 271, 264, 543, 630, 280, 267, 476, 271, 994, 6097, 547, 519, 2243, 267, 649, 723, 692, 21607, 1154, 1535, 273, 1341, 476, 280, 1107, 476, 277, 343, 1341, 586, 273, 815, 737, 692, 306, 638, 2130, 1312, 5011, 267, 649, 723, 454, 22382, 476, 7761, 1107, 476, 1321, 343, 1341, 737, 815, 476, 13893, 1341, 737, 910, 476, 2190, 18414, 330, 454, 22382, 476, 2190, 20734, 330, 815, 476, 13893, 1107, 476, 7761, 1341, 476, 1321, 343, 454, 22382, 476, 2190, 20734, 330, 815, 476, 7761, 1341, 476, 1321, 343, 454, 22382, 476, 273, 20734, 330, 815, 476, 277, 1341, 1535, 454, 26139, 2695, 2130, 1312, 5011, 267, 649, 1205, 454, 275, 330, 815, 476, 3607, 1341, 1535, 273, 1341, 476, 1321, 343, 454, 21607, 1154, 519, 1871, 540, 737, 267, 649, 723, 454, 275, 3287, 273, 1341, 476, 280, 1107, 476, 277, 343, 1341, 586, 273, 264, 815, 476, 3607, 1341, 1535, 273, 1341, 476, 1321, 343, 454, 22382, 476, 275, 343, 273, 1341, 476, 3607, 1107, 476, 2190, 343, 1341, 476, 275, 344, 273, 815, 476, 3607, 1341, 1535, 273, 1341, 476, 1321, 343, 454, 22382, 476, 274, 343, 273, 1341, 476, 275, 344, 273, 1107, 476, 3607, 343, 815, 476, 271, 454, 17798, 267, 519, 2838, 3830, 568, 476, 274, 343, 273, 1341, 476, 275, 344, 273, 1107, 476, 3607, 343, 815, 476, 271, 692, 304, 269, 1789, 269, 1109, 8340, 519, 3830, 540, 519, 1305, 540, 782, 2798, 4171, 3845, 689, 630, 271, 267, 476, 275, 264, 616, 476, 273, 270, 274, 1109, 1993, 741, 3845, 689, 519, 1899, 586, 815, 476, 280, 563, 9172, 563, 4131, 623, 3287, 267, 586, 264, 581, 513, 1448, 563, 6097, 547, 2243, 267, 649, 723, 692, 306, 638, 2130, 1312, 5011, 267, 649, 723, 692, 22382, 476, 280, 343, 273, 1341, 476, 280, 12169, 1107, 476, 275, 264, 273, 815, 476, 275, 344, 273, 1341, 476, 27844, 1107, 476, 7761, 344, 454, 22382, 476, 280, 343, 273, 1341, 476, 280, 344, 273, 1341, 476, 13893, 1107, 476, 7761, 344, 815, 476, 275, 344, 273, 1341, 476, 27844, 1107, 476, 7761, 344, 454, 22382, 476, 280, 343, 273, 1341, 476, 276, 344, 273, 1341, 476, 13893, 1107, 476, 27844, 815, 476, 271, 454, 22382, 476, 280, 343, 273, 1341, 476, 276, 344, 273, 1107, 476, 5197, 815, 476, 271, 454, 17798, 267, 519, 2838, 3830, 568, 476, 280, 343, 273, 1341, 476, 276, 344, 273, 1107, 476, 5197, 815, 476, 271, 780, 304, 269, 4029, 269, 8058, 602, 519, 1305, 540, 782, 2798, 971, 602, 519, 3017, 540, 741, 9883, 689, 630, 275, 267, 476, 271, 264, 543, 630, 1700, 476, 275, 267, 476, 271, 264, 568, 2141, 3160, 547, 476, 273, 2099, 513, 5409, 19096, 780, 9172, 269, 1109, 4131, 623, 3287, 267, 586, 264, 581, 1022, 1448, 563, 6097, 547, 519, 2243, 267, 649, 723, 692, 21607, 1154, 519, 1535, 273, 1341, 586, 266, 476, 1626, 815, 1990, 3267, 263, 328, 2020, 306, 638, 2130, 1312, 5011, 267, 649, 1205, 692, 26139, 2695, 2130, 1312, 5011, 267, 649, 723, 454, 345, 273, 1341, 476, 275, 1107, 476, 275, 345, 815, 1990, 273, 1107, 476, 5038, 343, 273, 454, 22382, 476, 275, 1107, 476, 275, 345, 1341, 476, 5038, 343, 273, 815, 476, 271, 454, 21607, 1154, 519, 1871, 540, 1990, 267, 649, 723, 454, 22382, 476, 275, 1107, 476, 275, 3287, 273, 1341, 586, 273, 1341, 476, 1626, 264, 1341, 476, 5038, 343, 273, 815, 476, 271, 454, 22382, 476, 275, 1107, 476, 275, 343, 273, 1107, 476, 275, 344, 273, 1107, 476, 5038, 1341, 476, 5038, 343, 273, 815, 476, 271, 454, 22382, 476, 2568, 343, 273, 1107, 476, 275, 344, 273, 1107, 476, 2568, 815, 476, 271, 454, 22382, 476, 2568, 343, 273, 1107, 476, 275, 344, 273, 815, 476, 2568, 692, 7617, 2099, 513, 5409, 19096, 269, 9747, 9863, 780, 304, 269, 3953, 269, 1109, 8340, 519, 3830, 540, 519, 5409, 19096, 609, 454, 5416, 264, 20539, 1182, 630, 22144, 476, 276, 267, 476, 271, 1070, 535, 1539, 630, 22144, 476, 278, 267, 476, 271, 994, 6357, 264, 20539, 1182, 630, 271, 267, 13008, 476, 278, 1070, 552, 815, 476, 275, 270, 274, 454, 6262, 264, 674, 1539, 630, 271, 267, 13008, 20734, 1015, 1070, 8429, 998, 630, 273, 267, 476, 274, 994, 9172, 269, 1109, 5416, 264, 9717, 602, 14622, 630, 22144, 476, 276, 267, 476, 271, 1070, 535, 1539, 630, 22144, 476, 278, 267, 476, 271, 994, 19723, 23753, 540, 5409, 19096, 815, 630, 22144, 513, 267, 476, 271, 264, 543, 535, 1539, 630, 22144, 513, 324, 267, 476, 271, 994, 30043, 513, 815, 476, 276, 543, 513, 324, 815, 476, 278, 1109, 22382, 1109, 276, 1535, 552, 815, 476, 278, 2340, 18568, 552, 815, 476, 278, 270, 276, 454, 3086, 536, 273, 815, 513, 273, 630, 324, 1700, 476, 272, 2020, 763, 3830, 540, 519, 5409, 19096, 568, 692, 6357, 264, 9717, 602, 14622, 630, 271, 267, 13008, 476, 278, 1070, 552, 815, 476, 275, 270, 274, 454, 28733, 569, 267, 519, 5409, 19096, 568, 7299, 563, 309, 1068, 1182, 815, 630, 22144, 476, 271, 267, 513, 994, 30043, 513, 815, 476, 278, 543, 552, 815, 476, 275, 270, 274, 454, 2171, 917, 602, 536, 273, 815, 513, 273, 16216, 273, 1107, 476, 272, 2020, 17798, 267, 519, 3830, 540, 519, 5409, 19096, 568, 692, 22382, 476, 280, 343, 273, 1107, 476, 278, 344, 273, 1341, 476, 29340, 815, 476, 271, 454, 6262, 264, 9717, 602, 281, 535, 1539, 815, 630, 271, 2073, 13008, 20734, 1015, 994, 30043, 513, 324, 815, 20734, 1015, 2340, 18568, 513, 273, 324, 273, 815, 476, 1015, 454, 2171, 917, 602, 536, 273, 815, 513, 273, 16216, 273, 1107, 476, 272, 994, 22382, 536, 273, 815, 513, 273, 324, 273, 1107, 513, 273, 454, 22382, 536, 273, 815, 476, 1015, 1107, 513, 273, 454, 13420, 566, 540, 5409, 19096, 568, 692, 2252, 621, 10596, 998, 519, 1448, 630, 273, 267, 476, 274, 264, 1287, 692, 22382, 476, 3445, 1107, 476, 1724, 320, 273, 815, 513, 273, 263, 1015, 1107, 513, 273, 994, 22382, 476, 3445, 1107, 476, 1724, 320, 273, 815, 476, 1015, 320, 273, 1107, 513, 275, 454, 320, 275, 1107, 476, 2537, 320, 273, 1341, 476, 3445, 815, 476, 271, 454, 22382, 513, 275, 1107, 476, 1240, 320, 273, 1107, 476, 276, 320, 273, 1341, 476, 3445, 815, 476, 271, 454, 22382, 513, 273, 5416, 273, 1107, 476, 1240, 264, 1107, 476, 276, 5416, 273, 1107, 476, 1240, 264, 815, 476, 271, 454, 22382, 630, 320, 273, 1107, 476, 1240, 7565, 320, 273, 1107, 476, 276, 264, 815, 476, 271, 454, 22382, 513, 273, 815, 476, 1240, 267, 513, 273, 815, 476, 276, 454, 30043, 536, 273, 815, 476, 1015, 1107, 1240, 815, 1107, 476, 279, 543, 536, 273, 815, 476, 1015, 1107, 476, 276, 815, 476, 276, 454, 321, 9881, 510, 1107, 476, 279, 5231, 3980, 368, 536, 273, 815, 476, 276, 454, 2080, 267, 519, 2838, 3830, 568, 692, 1012, 20638, 8382, 7392, 5999, 692, 304, 269, 3451, 269, 634, 1899, 1535, 1341, 476, 274, 344, 815, 476, 271, 568, 513, 8006, 540, 519, 5858, 1535, 273, 1341, 586, 273, 1341, 476, 277, 343, 1341, 476, 273, 344, 815, 476, 271, 563, 9172, 269, 1109, 11693, 3830, 540, 519, 5858, 568, 454, 343, 273, 1341, 586, 273, 1341, 476, 277, 343, 1341, 476, 273, 344, 815, 476, 271, 454, 28495, 516, 568, 630, 1700, 476, 274, 267, 1107, 476, 272, 994, 2252, 1535, 1341, 476, 274, 344, 815, 476, 271, 568, 519, 3830, 540, 8006, 267, 1287, 519, 8998, 630, 1700, 476, 274, 267, 1107, 476, 272, 264, 786, 9114, 593, 1535, 1341, 476, 274, 344, 815, 476, 271, 454, 1700, 476, 274, 1341, 476, 274, 263, 1700, 476, 272, 264, 815, 476, 271, 454, 22382, 1107, 476, 277, 9881, 510, 476, 271, 454, 3383, 267, 1535, 1341, 476, 274, 344, 815, 476, 271, 568, 711, 519, 8006, 540, 519, 5858, 563, 17798, 267, 519, 2016, 3948, 568, 8771, 780, 304, 269, 4097, 269, 634, 20125, 3845, 689, 519, 1448, 630, 273, 267, 1107, 278, 264, 547, 519, 5858, 1535, 266, 586, 273, 1107, 476, 1691, 343, 1107, 476, 1015, 344, 1107, 476, 14681, 815, 476, 271, 568, 3160, 547, 476, 276, 780, 314, 295, 842, 281, 634, 20125, 3845, 568, 3160, 547, 519, 3017, 540, 519, 8953, 543, 519, 3845, 1063, 519, 8998, 543, 519, 2016, 1448, 24358, 9172, 269, 1109, 11693, 3830, 540, 5858, 568, 1535, 273, 1341, 586, 273, 1107, 476, 1691, 343, 1107, 476, 1015, 344, 1107, 476, 14681, 815, 476, 271, 454, 14112, 652, 3845, 815, 3845, 1063, 519, 1448, 630, 273, 267, 1107, 476, 278, 994, 663, 519, 8998, 1107, 8953, 540, 519, 5858, 454, 28495, 516, 540, 519, 2016, 5858, 568, 454, 273, 326, 815, 1107, 476, 1691, 2340, 18568, 575, 815, 1107, 476, 278, 454, 273, 325, 815, 1107, 476, 1015, 2340, 18568, 535, 815, 1107, 476, 276, 454, 30043, 10418, 815, 630, 1700, 575, 267, 1107, 535, 264, 815, 630, 278, 267, 476, 276, 994, 663, 692, 30043, 10374, 652, 3845, 692, 17798, 267, 519, 2016, 3948, 568, 8771, 780, 304, 269, 3374, 269, 1403, 519, 1899, 561, 343, 1341, 1250, 815, 476, 272, 568, 513, 17242, 547, 519, 5858, 1535, 273, 1341, 586, 284, 513, 273, 267, 1287, 519, 1448, 630, 331, 267, 544, 264, 6013, 593, 513, 5858, 780, 314, 295, 842, 281, 2422, 602, 3845, 689, 519, 8998, 540, 519, 5858, 547, 519, 2016, 1899, 568, 3160, 547, 8953, 540, 519, 5858, 24358, 9172, 269, 1109, 11693, 3830, 540, 5858, 568, 1535, 273, 1341, 586, 284, 513, 273, 454, 663, 519, 17242, 568, 561, 343, 1341, 1250, 815, 476, 272, 454, 2080, 8998, 568, 630, 271, 267, 476, 271, 264, 543, 8953, 476, 1109, 284, 513, 454, 2252, 630, 331, 267, 544, 264, 6013, 593, 519, 5858, 692, 22382, 561, 273, 1341, 544, 273, 815, 513, 273, 630, 6518, 568, 513, 5858, 994, 3383, 267, 519, 1448, 630, 331, 267, 544, 264, 6013, 593, 519, 5858, 563, 17798, 267, 519, 2016, 3948, 568, 6936, 780, 304, 269, 3607, 269, 634, 1448, 630, 272, 267, 476, 273, 264, 6013, 3330, 519, 5858, 1535, 273, 1341, 586, 273, 1107, 476, 273, 343, 1341, 476, 277, 344, 1341, 476, 272, 815, 476, 271, 780, 9172, 269, 1109, 11693, 3830, 540, 5858, 568, 1535, 273, 1341, 586, 273, 1107, 476, 273, 343, 1341, 476, 277, 344, 1341, 476, 272, 815, 476, 271, 454, 2080, 476, 273, 326, 815, 1107, 476, 273, 2340, 18568, 575, 815, 1107, 476, 272, 454, 273, 325, 815, 476, 277, 2340, 18568, 535, 815, 476, 274, 454, 30043, 10418, 815, 630, 1700, 575, 267, 1107, 535, 264, 815, 630, 272, 267, 1107, 476, 274, 994, 663, 454, 30043, 20028, 1063, 519, 1448, 630, 272, 267, 476, 273, 264, 543, 519, 8998, 630, 272, 267, 1107, 476, 274, 2020, 2080, 476, 276, 3436, 476, 274, 267, 865, 519, 1448, 6013, 856, 2427, 519, 5858, 563, 17798, 267, 519, 2016, 3948, 568, 8771, 780, 304, 269, 4391, 269, 634, 1899, 561, 343, 1341, 1250, 1341, 562, 815, 476, 271, 786, 5905, 519, 29236, 586, 273, 815, 476, 275, 1314, 952, 23692, 815, 993, 273, 780, 9172, 269, 1109, 11693, 3830, 540, 29236, 568, 586, 273, 815, 476, 275, 1314, 3267, 263, 328, 994, 663, 519, 3830, 540, 1899, 568, 561, 343, 1341, 1250, 1341, 562, 815, 476, 271, 3267, 263, 4512, 994, 5804, 552, 336, 269, 630, 4512, 1070, 649, 723, 692, 21607, 1154, 519, 1871, 540, 586, 538, 552, 336, 269, 630, 328, 264, 649, 1205, 692, 22382, 561, 273, 343, 273, 1341, 562, 273, 1341, 476, 273, 15238, 343, 1107, 476, 275, 600, 273, 343, 815, 476, 271, 454, 22382, 561, 273, 343, 273, 1341, 630, 273, 15238, 1107, 476, 275, 600, 273, 32589, 1341, 562, 273, 815, 476, 271, 454, 2252, 519, 1899, 568, 519, 17242, 547, 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 ]
[ 723, 519, 1482, 4463, 994, 17092, 293, 294, 815, 476, 274, 335, 1341, 476, 276, 335, 815, 476, 279, 335, 454, 274, 454, 306, 7563, 294, 815, 476, 279, 533, 815, 476, 1321, 335, 454, 18154, 293, 294, 543, 595, 8980, 723, 519, 1482, 4463, 1299, 676, 630, 272, 4917, 273, 454, 306, 7563, 293, 815, 476, 279, 335, 1341, 476, 1321, 335, 815, 476, 736, 335, 454, 272, 454, 306, 6395, 293, 815, 476, 736, 533, 815, 476, 1015, 335, 454, 263, 6395, 293, 543, 11404, 293, 723, 519, 1482, 4463, 994, 273, 454, 17092, 4696, 815, 476, 1015, 335, 1341, 476, 736, 335, 815, 476, 1789, 335, 454, 3722, 291, 595, 5723, 454, 10490, 2529, 6993, 8094, 17092, 5723, 815, 476, 1789, 335, 454, 306, 5723, 7374, 815, 476, 1789, 335, 1341, 476, 1789, 335, 815, 476, 2568, 335, 454, 22704, 540, 13235, 291, 476, 2568, 533, 454, 23751, 284, 476, 736, 454, 22704, 540, 674, 21203, 476, 274, 533, 692, 10674, 2517, 4178, 19544, 330, 539, 322, 640, 14492, 270, 328, 5264, 11721, 327, 4281, 278, 279, 692, 17273, 476, 280, 692, 1012, 594, 1428, 2715, 534, 348, 606, 266, 273, 815, 606, 266, 272, 606, 513, 273, 815, 476, 272, 513, 274, 815, 476, 272, 513, 1001, 277, 692, 11693, 513, 5311, 2715, 534, 9574, 1141, 606, 266, 273, 815, 606, 266, 272, 606, 269, 1403, 513, 273, 815, 476, 272, 543, 513, 274, 815, 476, 272, 267, 1265, 519, 1871, 540, 513, 1001, 277, 563, 320, 275, 815, 513, 274, 513, 273, 815, 476, 272, 630, 272, 264, 815, 476, 273, 454, 320, 276, 815, 513, 275, 513, 274, 815, 476, 273, 476, 272, 815, 476, 272, 454, 320, 277, 815, 513, 276, 513, 275, 815, 476, 272, 476, 273, 815, 476, 272, 454, 320, 278, 815, 513, 277, 513, 276, 815, 476, 272, 476, 272, 815, 476, 273, 454, 320, 279, 815, 513, 278, 513, 277, 815, 476, 273, 630, 272, 264, 815, 476, 272, 815, 513, 273, 454, 320, 280, 815, 513, 279, 513, 278, 815, 476, 272, 630, 273, 264, 815, 476, 272, 815, 513, 274, 454, 320, 1015, 815, 513, 280, 513, 279, 815, 476, 272, 630, 272, 264, 815, 476, 273, 815, 513, 275, 454, 763, 5311, 28197, 519, 4783, 630, 272, 267, 476, 272, 267, 476, 273, 267, 476, 272, 267, 476, 272, 267, 476, 273, 264, 585, 1169, 476, 277, 2474, 563, 1001, 277, 815, 476, 277, 3451, 277, 692, 320, 1001, 277, 815, 513, 1001, 271, 815, 815, 513, 277, 815, 476, 272, 692, 10674, 2517, 4178, 19544, 330, 539, 322, 640, 14492, 270, 328, 5264, 11721, 327, 4281, 278, 279, 692, 17273, 476, 1015, 692, 1012, 7831, 8242, 281, 476, 1321, 4728, 476, 1001, 277, 692, 27026, 15638, 454, 294, 272, 476, 272, 454, 272, 476, 273, 692, 272, 454, 272, 454, 274, 476, 275, 454, 274, 454, 275, 454, 1001, 277, 454, 4263, 519, 4098, 267, 972, 729, 476, 272, 1396, 516, 540, 4568, 538, 11480, 589, 543, 11480, 645, 568, 606, 8900, 11480, 563, 272, 454, 1993, 519, 4568, 689, 11480, 645, 454, 5575, 267, 13248, 782, 4568, 689, 11480, 589, 547, 11480, 645, 282, 2034, 267, 13248, 454, 273, 454, 272, 454, 272, 454, 1993, 519, 4568, 689, 11480, 589, 547, 11480, 645, 282, 8772, 267, 13248, 454, 1993, 454, 3724, 547, 11480, 589, 282, 3791, 267, 13248, 454, 274, 454, 275, 454, 1492, 4568, 689, 11480, 645, 1394, 547, 11480, 589, 267, 1547, 2991, 519, 476, 1001, 277, 628, 26311, 267, 875, 1454, 4568, 454, 13195, 2451, 538, 11480, 589, 888, 5591, 269, 540, 2053, 454, 8649, 870, 540, 4568, 538, 589, 454, 8649, 870, 540, 4568, 538, 645, 454, 272, 454, 271, 454, 272, 454, 273, 454, 272, 476, 272, 454, 272, 454, 272, 21591, 273, 476, 273, 454, 273, 454, 274, 454, 272, 476, 273, 476, 272, 454, 272, 476, 273, 454, 23751, 272, 21591, 273, 476, 274, 476, 274, 454, 274, 476, 274, 454, 275, 454, 272, 476, 272, 454, 273, 476, 274, 476, 272, 454, 23751, 272, 21591, 274, 476, 275, 476, 273, 454, 273, 476, 273, 454, 276, 454, 272, 476, 275, 476, 273, 454, 273, 476, 274, 454, 23751, 272, 21591, 276, 476, 276, 454, 273, 476, 276, 476, 276, 454, 277, 454, 272, 476, 272, 454, 274, 476, 276, 476, 272, 454, 23751, 272, 21591, 276, 476, 277, 476, 273, 454, 273, 476, 273, 454, 4131, 519, 2179, 540, 4568, 538, 589, 543, 645, 581, 606, 543, 536, 333, 1310, 562, 18162, 563, 272, 454, 333, 476, 272, 454, 333, 454, 267, 536, 273, 333, 272, 21591, 563, 5141, 2727, 281, 1280, 562, 3436, 476, 272, 267, 513, 273, 333, 815, 536, 273, 333, 815, 2073, 513, 273, 333, 272, 21591, 273, 333, 476, 272, 454, 273, 333, 476, 272, 454, 273, 454, 27893, 281, 19556, 15632, 593, 562, 269, 562, 815, 476, 273, 267, 476, 274, 267, 9863, 676, 519, 1657, 3349, 563, 272, 454, 22428, 513, 273, 330, 815, 536, 273, 330, 815, 585, 930, 2318, 8870, 737, 3436, 476, 272, 563, 273, 454, 272, 454, 330, 476, 272, 476, 272, 6902, 536, 815, 476, 272, 737, 815, 737, 476, 272, 815, 737, 476, 272, 454, 273, 330, 454, 330, 454, 320, 273, 330, 266, 272, 21591, 23751, 23751, 273, 330, 266, 272, 454, 273, 330, 476, 272, 476, 273, 330, 476, 272, 476, 273, 330, 476, 272, 476, 272, 454, 273, 476, 273, 330, 476, 272, 476, 273, 330, 476, 272, 476, 273, 330, 476, 272, 476, 272, 454, 330, 476, 272, 454, 330, 454, 267, 536, 273, 330, 272, 21591, 1721, 930, 2318, 8870, 737, 3436, 476, 272, 563, 22428, 513, 273, 330, 272, 21591, 273, 330, 476, 272, 454, 273, 330, 476, 272, 454, 272, 476, 272, 454, 273, 330, 476, 272, 476, 272, 454, 330, 454, 284, 6902, 536, 273, 330, 815, 476, 272, 21591, 321, 273, 330, 25883, 273, 330, 476, 272, 454, 273, 330, 454, 273, 454, 273, 476, 273, 454, 3528, 519, 9030, 540, 6310, 15632, 267, 519, 3409, 568, 3020, 585, 782, 2318, 8870, 562, 285, 272, 563, 272, 454, 320, 1001, 277, 815, 513, 273, 263, 1911, 279, 264, 21591, 273, 692, 10674, 2517, 4178, 19544, 330, 539, 322, 640, 14492, 270, 328, 5264, 11721, 327, 4281, 278, 279, 692, 17273, 476, 1556, 692, 294, 273, 692, 1012, 23095, 676, 281, 6004, 269, 14731, 12017, 692, 5723, 9573, 9474, 1627, 8713, 454, 289, 304, 8713, 303, 304, 815, 476, 277, 4699, 290, 304, 815, 476, 280, 4699, 454, 288, 304, 815, 476, 1724, 4699, 27398, 454, 8201, 476, 272, 2982, 13235, 267, 623, 568, 519, 4571, 15304, 540, 9474, 595, 454, 663, 1627, 568, 513, 1448, 593, 8713, 269, 898, 568, 1634, 602, 645, 304, 8713, 2676, 303, 304, 815, 476, 277, 4699, 267, 595, 304, 815, 476, 280, 4699, 543, 589, 304, 815, 476, 1724, 4699, 269, 4855, 519, 454, 19327, 540, 13235, 563, 303, 28558, 1627, 303, 547, 667, 865, 602, 19113, 815, 1627, 303, 815, 476, 277, 4699, 454, 4338, 815, 623, 289, 630, 326, 1508, 602, 623, 568, 519, 4571, 15304, 540, 9474, 994, 4338, 291, 815, 22680, 304, 630, 3200, 269, 1727, 269, 521, 994, 4338, 291, 22680, 304, 630, 306, 6993, 2529, 8094, 290, 454, 4696, 303, 815, 645, 304, 303, 815, 476, 3445, 630, 14585, 337, 269, 521, 267, 521, 2020, 1012, 7831, 8242, 281, 476, 1321, 4728, 476, 1001, 277, 692, 288, 692, 1724, 4699, 454, 277, 4699, 692, 280, 4699, 1627, 692, 1724, 4699, 454, 280, 4699, 1627, 692, 277, 4699, 692, 4696, 815, 476, 1724, 476, 1321, 4699, 815, 476, 276, 4699, 630, 303, 17233, 23768, 11532, 994, 304, 289, 815, 5084, 815, 476, 276, 4699, 630, 14585, 337, 269, 5011, 267, 521, 994, 289, 454, 4037, 454, 272, 454, 306, 6195, 303, 815, 476, 1428, 476, 276, 4699, 273, 815, 4699, 273, 454, 273, 454, 273, 454, 4037, 476, 273, 454, 306, 3722, 303, 815, 590, 6195, 303, 815, 4699, 630, 5445, 723, 519, 1482, 3490, 543, 519, 1482, 4463, 994, 273, 454, 4037, 454, 306, 27398, 815, 476, 273, 4699, 273, 815, 476, 4037, 4699, 273, 454, 273, 454, 19686, 476, 273, 630, 17809, 3660, 676, 6004, 269, 25120, 18018, 334, 654, 2967, 2274, 2426, 994, 8794, 11282, 9511, 1505, 267, 649, 20301, 595, 607, 519, 454, 10594, 514, 267, 1287, 1627, 815, 630, 280, 267, 476, 271, 1070, 623, 815, 630, 1428, 267, 476, 271, 1040, 1284, 949, 1577, 645, 21591, 263, 280, 267, 586, 1070, 1141, 586, 3436, 476, 271, 269, 4595, 623, 568, 519, 30268, 540, 589, 543, 645, 2676, 1492, 10974, 589, 815, 630, 2641, 267, 586, 1916, 304, 263, 280, 267, 271, 994, 273, 692, 303, 476, 277, 4699, 692, 3086, 589, 304, 815, 476, 1724, 3947, 586, 476, 271, 476, 2641, 476, 280, 476, 1724, 31377, 338, 6295, 11729, 586, 815, 476, 276, 630, 26238, 586, 3436, 476, 271, 1916, 11997, 267, 589, 815, 630, 2641, 267, 476, 276, 1070, 645, 815, 630, 280, 267, 476, 276, 1070, 595, 815, 630, 271, 267, 476, 271, 1070, 543, 519, 454, 19327, 540, 6906, 13235, 568, 2016, 676, 912, 271, 476, 271, 454, 272, 454, 272, 476, 280, 476, 276, 454, 9492, 273, 815, 476, 3393, 476, 10755, 4699, 273, 815, 476, 4037, 4699, 273, 454, 273, 476, 2641, 476, 276, 454, 273, 454, 271, 476, 271, 454, 273, 692, 10674, 2517, 4178, 19544, 330, 539, 322, 640, 14492, 270, 328, 5264, 11721, 327, 4281, 278, 279, 692, 290, 263, 271, 267, 476, 271, 2020, 288, 263, 2641, 267, 586, 2020, 303, 263, 1428, 267, 476, 271, 2020, 289, 263, 280, 267, 910, 344, 2020, 17273, 476, 1321, 692, 294, 274, 692, 294, 275, 692, 1012, 513, 272, 267, 513, 273, 267, 513, 274, 267, 10965, 815, 513, 272, 1341, 513, 273, 1341, 1341, 606, 562, 692, 272, 454, 27409, 815, 476, 273, 606, 562, 476, 272, 513, 1001, 277, 454, 273, 454, 13706, 513, 5311, 540, 2338, 513, 272, 267, 513, 273, 267, 513, 274, 267, 1547, 16294, 10965, 815, 513, 272, 1341, 513, 273, 1341, 1341, 606, 585, 1022, 2318, 454, 272, 454, 15759, 518, 562, 269, 4855, 519, 1871, 540, 513, 1001, 277, 952, 10965, 815, 476, 273, 606, 562, 476, 272, 4586, 273, 454, 333, 454, 5141, 2727, 281, 606, 815, 562, 454, 273, 454, 272, 454, 3682, 557, 676, 15632, 269, 590, 272, 815, 513, 272, 815, 476, 273, 513, 272, 476, 272, 513, 272, 21591, 273, 454, 272, 476, 272, 454, 272, 454, 272, 476, 273, 454, 306, 273, 815, 513, 272, 1341, 513, 273, 815, 476, 273, 513, 273, 1341, 476, 273, 320, 273, 815, 476, 273, 513, 273, 815, 21591, 273, 476, 273, 454, 273, 454, 273, 476, 275, 454, 332, 454, 22428, 993, 815, 544, 568, 3020, 585, 544, 815, 476, 272, 267, 476, 273, 267, 2073, 737, 267, 1141, 737, 568, 513, 2318, 8870, 563, 273, 454, 330, 454, 272, 476, 273, 476, 274, 476, 275, 454, 272, 454, 20597, 266, 272, 815, 1341, 1341, 1341, 1341, 1341, 737, 1341, 513, 330, 266, 272, 815, 476, 273, 513, 330, 266, 272, 737, 630, 272, 994, 273, 476, 275, 476, 279, 476, 1626, 454, 273, 454, 273, 454, 330, 454, 274, 476, 275, 454, 272, 454, 273, 20597, 266, 272, 815, 476, 272, 1341, 476, 272, 1341, 1341, 1341, 1341, 737, 476, 272, 1341, 476, 273, 752, 266, 272, 815, 476, 275, 476, 273, 752, 266, 272, 737, 476, 272, 630, 273, 994, 275, 476, 279, 454, 273, 454, 273, 454, 330, 454, 272, 454, 272, 454, 272, 476, 272, 476, 272, 454, 273, 20597, 266, 272, 4787, 266, 272, 815, 476, 272, 266, 1341, 1341, 1341, 1341, 737, 476, 272, 737, 1341, 513, 330, 266, 272, 815, 476, 273, 513, 330, 266, 272, 737, 454, 273, 476, 275, 476, 279, 454, 273, 454, 273, 454, 273, 454, 272, 454, 272, 737, 454, 273, 737, 476, 273, 320, 476, 273, 476, 272, 476, 273, 476, 273, 737, 476, 273, 320, 476, 273, 476, 272, 513, 330, 266, 272, 815, 737, 476, 272, 454, 330, 476, 272, 454, 330, 476, 272, 454, 272, 476, 273, 330, 454, 273, 330, 454, 273, 330, 476, 273, 330, 454, 273, 330 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1981, 540, 3478, 513, 13570, 666, 1689, 936, 519, 1576, 540, 707, 1272, 543, 568, 8200, 593, 1082, 2188, 269, 2368, 540, 519, 1919, 602, 2322, 596, 693, 1981, 540, 3478, 19659, 616, 711, 1369, 707, 1852, 267, 899, 707, 11976, 543, 519, 2067, 4222, 540, 707, 4522, 543, 4187, 540, 707, 4761, 1062, 547, 519, 4551, 269, 1717, 267, 972, 616, 1082, 2188, 602, 616, 1369, 707, 1852, 281, 1548, 596, 3548, 267, 875, 596, 1416, 585, 707, 4522, 693, 1753, 543, 875, 1419, 596, 723, 707, 4522, 24015, 19345, 676, 513, 5959, 31978, 626, 563, 31880, 528, 728, 5574, 723, 1044, 519, 3044, 585, 4543, 2550, 2569, 741, 1981, 540, 3478, 19659, 543, 1711, 513, 3666, 1996, 519, 4220, 269, 769, 1453, 649, 946, 21973, 5574, 547, 3666, 2188, 899, 4057, 17678, 543, 29781, 543, 1164, 19346, 11326, 269, 634, 21973, 2182, 839, 610, 18791, 519, 4522, 1818, 873, 811, 11259, 547, 3478, 513, 13570, 269, 4653, 779, 21973, 5574, 616, 4294, 547, 519, 4522, 607, 513, 642, 7568, 880, 267, 15074, 610, 17371, 563, 2690, 1034, 4079, 1753, 1416, 543, 2732, 616, 711, 519, 4161, 267, 2242, 538, 19975, 543, 1072, 2152, 10460, 519, 7887, 1981, 269, 1703, 616, 936, 476, 4335, 4122, 11311, 6527, 2221, 602, 723, 513, 2942, 1764, 593, 707, 19975, 269, 6428, 10216, 568, 707, 4761, 1062, 538, 707, 5023, 543, 513, 3119, 8878, 269, 4634, 952, 707, 5023, 3085, 1406, 1745, 3819, 267, 707, 19975, 949, 711, 581, 3257, 922, 685, 2816, 269, 16453, 10172, 543, 1455, 1072, 2152, 666, 849, 7369, 707, 19975, 267, 13497, 2810, 707, 1981, 540, 3478, 19659, 269, 12071, 528, 728, 5574, 616, 835, 540, 519, 1655, 3800, 547, 2061, 610, 2569, 19659, 269, 1284, 3335, 946, 21973, 642, 7568, 880, 267, 607, 621, 568, 2653, 547, 4019, 543, 3810, 2500, 693, 513, 2539, 1942, 269, 0, 10817, 728, 547, 4516, 19594, 654, 10248, 454, 15703, 2249, 540, 12217, 616, 1336, 538, 3345, 3013, 267, 519, 8701, 7703, 267, 519, 17680, 3960, 569, 7703, 267, 519, 3109, 7703, 267, 543, 519, 6891, 7703, 269, 2353, 540, 891, 2249, 540, 12217, 666, 581, 2938, 538, 4516, 269, 2060, 922, 3309, 543, 796, 4944, 334, 6150, 19069, 267, 4516, 568, 519, 1283, 3903, 585, 7703, 8384, 269, 2368, 12217, 666, 581, 9763, 1032, 15778, 6466, 1866, 723, 513, 3908, 6885, 540, 942, 789, 666, 581, 1336, 269, 12989, 649, 786, 1491, 10357, 2389, 712, 1235, 971, 607, 596, 998, 519, 2249, 267, 519, 4525, 596, 666, 979, 547, 4585, 873, 267, 543, 2053, 540, 519, 1032, 563, 289, 792, 2249, 538, 4516, 454, 289, 8986, 2099, 513, 7415, 546, 7081, 540, 2470, 269, 1452, 30085, 11975, 723, 1044, 13042, 607, 968, 13142, 29487, 23729, 2378, 320, 10044, 31865, 538, 2110, 267, 789, 723, 606, 9029, 602, 11498, 2484, 3564, 741, 1747, 538, 519, 5117, 269, 645, 8986, 616, 3532, 2831, 602, 666, 581, 18979, 11975, 267, 824, 2053, 789, 616, 32620, 10874, 787, 3887, 908, 2831, 1268, 1881, 676, 519, 15055, 540, 12736, 928, 519, 7313, 2129, 610, 962, 690, 328, 269, 4477, 323, 538, 513, 10723, 25621, 676, 519, 1101, 9082, 267, 12217, 1810, 1406, 1175, 2291, 538, 938, 2442, 2528, 855, 2984, 6580, 1394, 1134, 1354, 519, 2854, 2262, 269, 769, 519, 2013, 540, 13946, 12400, 267, 938, 11937, 723, 1044, 4974, 12217, 585, 693, 2547, 476, 1789, 8536, 1296, 7488, 540, 707, 4276, 547, 12217, 267, 3025, 568, 19832, 676, 873, 563, 14937, 7703, 630, 308, 3464, 639, 7819, 639, 994, 763, 1977, 3109, 7703, 568, 519, 10545, 543, 1034, 1455, 540, 519, 7703, 2249, 1336, 538, 4516, 269, 1703, 616, 606, 6059, 476, 4335, 267, 1822, 3109, 12217, 538, 4516, 563, 14937, 12217, 666, 581, 1336, 538, 513, 3099, 540, 2681, 11775, 8151, 689, 3109, 547, 16009, 267, 3006, 4929, 13680, 554, 1731, 619, 547, 1589, 513, 17680, 3960, 569, 18084, 741, 2619, 269, 6250, 1302, 3109, 12217, 616, 4130, 267, 811, 17031, 267, 811, 13047, 982, 824, 12217, 267, 1210, 27615, 660, 338, 543, 1208, 338, 547, 5968, 269, 4563, 12217, 723, 17208, 32356, 585, 16246, 4054, 563, 307, 4181, 2709, 3109, 12217, 28532, 267, 1797, 540, 9101, 267, 543, 1256, 513, 1747, 547, 2879, 5622, 2763, 256, 12846, 267, 596, 723, 519, 5207, 4960, 547, 1294, 891, 12217, 538, 519, 3552, 2094, 789, 616, 519, 4102, 2551, 563, 294, 686, 3960, 569, 7703, 630, 308, 3464, 639, 818, 551, 657, 3520, 1026, 18442, 994, 294, 686, 3960, 15533, 616, 711, 1796, 29671, 2249, 855, 513, 28849, 540, 1977, 6960, 12217, 269, 1358, 1205, 741, 2012, 538, 851, 547, 519, 12779, 4388, 593, 922, 9663, 607, 519, 3662, 6502, 267, 4758, 513, 968, 326, 686, 3960, 1194, 892, 1413, 269, 30557, 476, 1015, 3952, 7381, 950, 20005, 267, 606, 2937, 17680, 3960, 569, 666, 9260, 476, 6344, 271, 6550, 269, 589, 17680, 3960, 569, 540, 1022, 2450, 568, 513, 8101, 3662, 563, 5445, 616, 9631, 16622, 2803, 267, 4189, 4829, 267, 15708, 267, 543, 8726, 8685, 619, 616, 2139, 269, 1323, 11599, 17680, 3960, 569, 7703, 1426, 2707, 568, 13687, 267, 1164, 538, 3170, 543, 3940, 269, 634, 13687, 2196, 14405, 12217, 689, 782, 1472, 547, 21649, 593, 519, 5757, 3316, 802, 540, 713, 12119, 29535, 2329, 1063, 5181, 543, 5437, 563, 2304, 6059, 476, 2918, 267, 1822, 17680, 3960, 569, 12217, 616, 2713, 538, 4516, 856, 540, 799, 476, 1015, 267, 1822, 616, 9921, 269, 19759, 569, 789, 616, 606, 13155, 2249, 563, 303, 6897, 7703, 630, 308, 3464, 639, 2261, 527, 574, 639, 994, 2026, 922, 5824, 2012, 5267, 8701, 12217, 616, 4749, 1336, 2282, 1216, 269, 21069, 12217, 616, 11108, 7669, 11302, 3335, 7836, 3275, 593, 519, 4262, 4672, 10122, 20910, 267, 741, 20013, 1426, 2707, 269, 4256, 10359, 666, 1832, 873, 1202, 4327, 689, 519, 535, 3419, 573, 818, 8157, 7297, 676, 1958, 2084, 2011, 3330, 519, 24827, 269, 713, 1568, 519, 1482, 1259, 602, 519, 1524, 538, 707, 5162, 6288, 320, 8952, 596, 3636, 267, 676, 8337, 519, 2011, 16290, 1063, 519, 6418, 543, 9018, 6106, 540, 707, 29075, 563, 28657, 568, 1753, 547, 476, 1626, 267, 1822, 8701, 12217, 267, 1079, 22188, 540, 519, 1158, 779, 8701, 7703, 2551, 540, 476, 2918, 267, 1822, 563, 306, 2869, 527, 7703, 630, 308, 3464, 639, 7819, 639, 737, 1069, 1712, 328, 994, 9827, 1634, 607, 519, 918, 1069, 1712, 7703, 630, 24887, 1310, 922, 1167, 913, 17243, 19958, 918, 1069, 1712, 1070, 713, 18477, 23302, 7703, 568, 513, 28849, 540, 519, 3109, 7703, 269, 5853, 1152, 593, 519, 3844, 5032, 540, 3703, 12052, 267, 891, 12217, 723, 513, 5595, 12424, 633, 5444, 1818, 873, 513, 8645, 2681, 563, 763, 1034, 2693, 2601, 585, 519, 2551, 540, 6891, 12217, 538, 519, 22986, 540, 645, 5861, 269, 568, 602, 519, 12779, 32442, 2306, 873, 811, 3811, 693, 20414, 13687, 269, 898, 7140, 856, 602, 1247, 538, 1034, 4025, 519, 6891, 12217, 3668, 540, 31491, 720, 1131, 1118, 621, 1796, 856, 267, 519, 13687, 666, 1406, 1294, 519, 3043, 12217, 1996, 519, 7943, 563, 306, 611, 569, 789, 616, 513, 1360, 4686, 2249, 543, 1152, 476, 2004, 268, 5611, 616, 887, 5446, 519, 4104, 269, 1411, 991, 547, 581, 2731, 18822, 547, 581, 2111, 547, 7747, 873, 538, 2470, 563, 8489, 543, 950, 547, 979, 7703, 8384, 454, 289, 8986, 616, 6909, 2831, 547, 1531, 1245, 269, 1306, 30085, 11975, 267, 789, 2291, 538, 2127, 602, 616, 10731, 609, 1272, 269, 645, 8986, 616, 513, 1967, 1650, 540, 2413, 5726, 543, 519, 2318, 1764, 602, 3425, 666, 723, 593, 519, 1604, 269, 1284, 5000, 596, 547, 2263, 519, 967, 525, 4933, 762, 14734, 17965, 602, 568, 519, 19069, 540, 4516, 543, 547, 1544, 513, 7703, 2914, 10248, 4663, 269, 589, 4605, 568, 4502, 513, 8536, 1913, 855, 606, 1995, 538, 519, 3552, 568, 11720, 6804, 563, 7197, 12217, 30489, 622, 1282, 519, 5162, 3275, 1818, 7487, 873, 1282, 713, 942, 1175, 827, 7543, 269, 1403, 596, 1616, 547, 1433, 513, 7703, 2914, 10248, 4663, 538, 4516, 267, 519, 6885, 540, 942, 568, 689, 2904, 547, 5239, 269, 10738, 713, 942, 7406, 267, 972, 616, 6237, 2621, 602, 1118, 8384, 1256, 1732, 269, 12989, 649, 786, 979, 883, 811, 1469, 827, 519, 4087, 543, 2053, 585, 13156, 1114, 2249, 540, 12217, 563, 289, 792, 5349, 7129, 666, 1265, 3810, 22537, 3109, 12217, 2429, 4516, 269, 1717, 267, 547, 1118, 519, 1034, 540, 707, 7703, 8384, 9702, 972, 616, 1079, 4525, 547, 1413, 883, 563, 268, 1280, 9381, 3109, 12217, 267, 519, 10195, 1472, 26551, 2709, 519, 4960, 547, 7747, 12217, 689, 519, 10935, 607, 789, 3548, 32729, 693, 1970, 20352, 543, 13687, 593, 519, 538, 7410, 563, 268, 1280, 7823, 3109, 12217, 267, 31671, 20899, 2488, 5140, 8458, 547, 2070, 12217, 609, 796, 4944, 334, 6150, 5784, 563, 294, 686, 3960, 15533, 616, 22072, 2831, 1034, 540, 519, 942, 267, 865, 7487, 835, 568, 1034, 1419, 2944, 936, 513, 1426, 2707, 269, 1879, 519, 13687, 2196, 5956, 538, 4864, 268, 5239, 267, 17680, 3960, 569, 12217, 543, 3109, 12217, 26600, 547, 519, 8933, 547, 3170, 1084, 909, 585, 5162, 5503, 269, 5853, 5631, 538, 519, 7262, 3368, 540, 519, 2197, 1413, 883, 519, 2961, 756, 5622, 15142, 563, 3849, 4461, 5211, 568, 1776, 28326, 13607, 585, 13687, 24507, 3703, 12052, 269, 20363, 838, 27681, 814, 513, 476, 275, 4458, 4783, 799, 1797, 1169, 476, 275, 1296, 596, 666, 1294, 513, 8101, 2179, 3379, 547, 519, 824, 476, 274, 1296, 269, 700, 13806, 585, 596, 267, 476, 1708, 273, 568, 519, 1985, 1032, 547, 4585, 856, 585, 269, 898, 568, 8345, 1472, 4571, 268, 19751, 269, 590, 15736, 324, 2892, 332, 976, 1376, 741, 3460, 538, 519, 7414, 7909, 2605, 6471, 543, 16399, 5757, 547, 12446, 693, 741, 3803, 10278, 267, 17566, 5757, 267, 543, 1744, 639, 342, 777, 8235, 563, 28062, 1152, 538, 3703, 12052, 779, 4279, 19594, 14175, 10809, 267, 519, 13336, 7703, 666, 581, 2938, 609, 922, 968, 7538, 892, 11954, 14077, 543, 17680, 3960, 15533, 1282, 519, 13687, 8255, 538, 4864, 268, 19751, 269, 19594, 8384, 585, 519, 6891, 7703, 666, 581, 689, 2904, 268, 19751, 563, 303, 6897, 645, 8986, 2291, 538, 606, 1604, 1454, 1114, 689, 519, 824, 12217, 540, 4516, 269, 1306, 971, 267, 789, 666, 581, 2938, 693, 5594, 1114, 2053, 540, 519, 1032, 269, 3245, 5147, 547, 5181, 596, 666, 1265, 8701, 12217, 538, 741, 4832, 10122, 12406, 593, 519, 24528, 540, 23747, 7345, 563, 5804, 5239, 547, 5437, 267, 2127, 1472, 26235, 31671, 20899, 616, 1158, 1922, 13904, 585, 741, 8701, 12217, 269, 3683, 476, 3445, 260, 540, 519, 8701, 12217, 538, 4516, 2049, 538, 1079, 540, 4516, 779, 7187, 2865, 11182, 281, 715, 684, 822, 583, 543, 519, 19566, 17197, 1559, 563, 763, 4279, 19594, 14175, 10809, 454, 2252, 596, 6108, 1022, 3259, 540, 942, 3168, 883, 8225, 7703, 8384, 596, 723, 2938, 8100, 547, 3703, 12052, 30778, 4279, 19594, 14175, 10809, 269, 901, 2025, 3766, 9512, 4104, 13315, 476, 277, 269, 275, 2929, 25614, 827, 519, 2450, 540, 8581, 563, 1607, 568, 519, 1152, 1858, 1141, 519, 13336, 19594, 568, 1336, 269, 13966, 2515, 891, 782, 15133, 12217, 616, 741, 4158, 5123, 14077, 543, 17680, 3960, 569, 12217, 267, 782, 540, 799, 666, 581, 2938, 905, 8463, 593, 13687, 1282, 519, 8255, 689, 4864, 547, 5239, 269, 3502, 1152, 786, 972, 581, 12217, 547, 2070, 855, 513, 3099, 540, 7286, 1272, 899, 1208, 335, 3724, 16385, 543, 610, 8619, 666, 581, 2938, 689, 13272, 610, 10935, 563, 20075, 13069, 568, 519, 1034, 29245, 11662, 538, 4516, 543, 607, 971, 814, 1447, 7320, 829, 23505, 982, 1866, 269, 1717, 267, 585, 519, 16314, 518, 945, 814, 2097, 547, 4516, 585, 824, 9035, 267, 2372, 2946, 13069, 3091, 7320, 13156, 585, 519, 1554, 2389, 686, 3899, 269, 2755, 1152, 3109, 12217, 616, 1336, 538, 713, 3148, 267, 19846, 660, 1938, 15944, 3091, 513, 1390, 4316, 547, 1294, 7320, 1519, 3109, 12217, 563, 19522, 585, 7703, 3106, 454, 4407, 7703, 6285, 616, 1360, 4686, 267, 789, 616, 1869, 513, 6161, 585, 4896, 11981, 519, 7703, 2197, 269, 2755, 513, 811, 3102, 7703, 3106, 666, 581, 1336, 693, 519, 715, 4916, 3896, 513, 1906, 4388, 547, 3314, 616, 607, 4553, 912, 268, 670, 833, 609, 513, 3391, 543, 538, 513, 1895, 950, 2009 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1775, 266, 272, 267, 1775, 266, 273, 267, 3267, 562, 268, 272, 538, 319, 2387, 6892, 1109, 19896, 2855, 5157, 316, 319, 2387, 6892, 1109, 1730, 1721, 1730, 263, 1730, 842, 319, 2387, 328, 815, 562, 910, 12181, 272, 1730, 282, 1775, 13843, 12181, 271, 1730, 282, 4534, 328, 23375, 2387, 13725, 1109, 1730, 10946, 306, 4428, 6635, 337, 5157, 316, 815, 4569, 27982, 32384, 306, 4428, 6635, 337, 5157, 1341, 12181, 272, 1730, 3910, 2387, 2387, 18987, 18987, 13725, 1109, 1730, 1551, 5157, 316, 5148, 319, 5231, 2387, 6892, 1109, 1730, 842, 319, 2387, 753, 815, 12181, 271, 1730, 32547, 5231, 2387, 6892, 1109, 19896, 19461, 1125, 1305, 8708, 319, 2387, 6892, 1109, 1730, 21698, 13729, 1970, 19368, 815, 12181, 2908, 319, 2387, 21698, 13729, 3890, 32547, 5231, 2387, 6892, 1109, 19896, 23453, 5934, 1871, 585, 1101, 6476, 319, 2387, 6892, 1109, 19896, 538, 519, 1305, 319, 2387, 6892, 1109, 1730, 869, 19368, 14491, 263, 18204, 518, 8160, 2562, 318, 309, 3201, 16604, 5148, 319, 5231, 2387, 6892, 1109, 1730, 1721, 1730, 263, 1730, 842, 319, 2387, 328, 815, 12181, 271, 1730, 282, 1775, 2999, 562, 910, 12181, 272, 1730, 282, 1341, 266, 328, 23375, 2387, 6892, 1109, 1730, 346, 319, 2387, 13725, 1109, 1730, 604, 319, 25464, 10946, 306, 4428, 6635, 337, 5157, 1341, 12181, 272, 1730, 316, 3436, 2855, 5157, 8079, 2387, 2387, 13725, 1109, 1730, 346, 319, 2387, 24748, 1109, 1730, 753, 815, 4569, 27982, 263, 753, 267, 1970, 19368, 31573, 19906, 5157, 8079, 1341, 2387, 2387, 18987, 7673, 1741, 1109, 1730, 1551, 5157, 316, 1341, 3193, 306, 4428, 6635, 337, 5157, 1341, 12181, 272, 1730, 316, 5148, 319, 5231, 2387, 24748, 1109, 19896, 23453, 2855, 5157, 316, 538, 1305, 283, 285, 585, 2417, 319, 2387, 24748, 1109, 19896, 4393, 319, 2387, 24748, 1109, 1730, 869, 19368, 14491, 19906, 5157, 316, 5148, 319, 2387, 13725, 1109, 31299, 319, 2387, 6892, 1109, 31299, 319, 2387, 6892, 1109, 1730, 8873, 319, 2387, 753, 32547, 2387, 348, 319, 5231, 2387, 2260, 30905, 8943, 319, 2387, 21504, 319, 2387, 18878, 319, 2387, 341, 1355, 319, 2387, 10852, 263, 21803, 26514, 26571, 264, 2387, 2387, 346, 319, 2387, 6892, 1109, 1730, 842, 319, 2387, 1551, 26514, 815, 2715, 12181, 273, 1730, 267, 12181, 276, 1730, 267, 12181, 274, 1730, 267, 12181, 272, 1730, 267, 12181, 275, 1730, 267, 12181, 280, 319, 2387, 348, 32547, 2387, 6892, 1109, 1730, 842, 319, 2387, 333, 815, 12181, 277, 1730, 32547, 2387, 6892, 1109, 319, 1109, 2387, 6892, 1109, 1730, 21902, 269, 719, 31428, 15238, 32384, 31590, 921, 339, 11764, 19906, 267, 562, 4297, 32547, 2387, 348, 319, 2387, 348, 319, 5231, 2387, 2260, 901, 3009, 568, 8329, 676, 2494, 340, 11202, 6319, 26384, 23911, 274, 692, 2387, 258, 5124, 3009, 585, 519, 1657, 1935, 319, 5231, 2387, 5814, 319, 2387, 321, 529, 624, 319, 2387, 5814, 319, 2387, 338, 903, 319, 5231, 2387, 258, 9577, 547, 1205, 519, 2539, 2063, 1295, 1871, 540, 1412, 333, 262, 319, 2387, 3698, 319, 2387, 1326, 20181, 19368, 263, 869, 19368, 267, 562, 2567, 319, 2387, 6892, 1109, 1730, 527, 12181, 284, 319, 2387, 321, 529, 624, 12500, 529, 624, 318, 3847, 263, 869, 19368, 267, 562, 23375, 2387, 6892, 1109, 1730, 604, 319, 2387, 527, 12181, 284, 1730, 284, 319, 2387, 271, 1730, 281, 319, 2387, 13725, 1109, 1730, 8873, 319, 2387, 268, 1730, 338, 903, 27982, 21653, 319, 2387, 6892, 1109, 1730, 12828, 1730, 281, 319, 2387, 13725, 1109, 1730, 8873, 319, 2387, 869, 19368, 314, 527, 1730, 268, 1730, 272, 1730, 316, 319, 5231, 2387, 258, 9577, 547, 5173, 5021, 17784, 339, 2040, 319, 2387, 3698, 319, 2387, 10946, 31590, 921, 339, 11764, 19906, 267, 562, 2567, 319, 2387, 6892, 1109, 1730, 258, 19461, 1125, 21879, 268, 6783, 319, 2387, 6892, 1109, 1730, 10946, 306, 4428, 6635, 337, 12181, 284, 319, 2387, 314, 1730, 271, 1730, 316, 12181, 265, 319, 25464, 333, 12181, 266, 319, 2387, 272, 1730, 23375, 5231, 2387, 6892, 1109, 1730, 258, 5590, 519, 2063, 3693, 319, 2387, 6892, 1109, 1730, 10946, 306, 4428, 6635, 337, 19559, 316, 12181, 284, 319, 2387, 271, 319, 5231, 2387, 6892, 1109, 1730, 258, 12433, 21879, 268, 6783, 5627, 5021, 319, 2387, 6892, 1109, 1730, 258, 1871, 585, 4994, 1775, 267, 1775, 266, 272, 267, 1775, 266, 273, 267, 3267, 562, 268, 272, 538, 2855, 5157, 316, 319, 2387, 6892, 1109, 1730, 1721, 319, 2387, 328, 12181, 514, 319, 2387, 9792, 1730, 263, 333, 1730, 268, 1730, 272, 1730, 267, 12181, 268, 1730, 272, 1730, 267, 12181, 268, 1730, 272, 1730, 2567, 319, 2387, 13725, 1109, 1730, 10946, 306, 4428, 6635, 337, 5157, 316, 12181, 284, 319, 2387, 10946, 1730, 263, 10946, 306, 4428, 6635, 337, 5157, 12181, 266, 319, 2387, 272, 1730, 3910, 2855, 5157, 8079, 319, 5231, 2387, 6892, 1109, 1730, 753, 12181, 284, 319, 2387, 271, 319, 5231, 2387, 6892, 1109, 1730, 258, 19461, 1125, 1592, 547, 4558, 5934, 2418, 319, 2387, 6892, 1109, 1730, 869, 19368, 12181, 284, 319, 2387, 314, 1730, 268, 1730, 338, 903, 27982, 21653, 316, 319, 5231, 2387, 6892, 1109, 1730, 1721, 319, 2387, 328, 12181, 514, 319, 2387, 9792, 1730, 263, 333, 12181, 268, 319, 2387, 272, 1730, 2567, 319, 2387, 13725, 1109, 1730, 604, 319, 2387, 10946, 306, 4428, 6635, 337, 5157, 12181, 266, 319, 2387, 272, 1730, 316, 3436, 2855, 5157, 13912, 319, 2387, 24748, 1109, 1730, 753, 12181, 284, 319, 2387, 10946, 1730, 263, 753, 267, 1205, 20181, 19368, 263, 869, 19368, 267, 2855, 5157, 8079, 319, 2387, 18987, 3396, 1109, 1109, 1730, 266, 319, 2387, 1551, 5157, 316, 12181, 266, 319, 2387, 10946, 306, 4428, 6635, 337, 5157, 12181, 266, 319, 2387, 272, 1730, 8079, 319, 5231, 2387, 24748, 1109, 1730, 258, 23453, 2855, 5157, 316, 538, 1592, 585, 2417, 4393, 319, 2387, 24748, 1109, 1730, 321, 529, 624, 269, 1231, 677, 318, 3847, 263, 869, 19368, 267, 2855, 5157, 8079, 319, 5231, 2387, 6892, 1109, 1730, 8873, 319, 2387, 753, 319, 5231, 2387, 258, 30905, 3009, 319, 2387, 1551, 12181, 284, 319, 2387, 314, 1730, 273, 1730, 267, 12181, 276, 1730, 267, 12181, 274, 1730, 267, 12181, 272, 1730, 267, 12181, 275, 1730, 267, 12181, 280, 1730, 316, 319, 2387, 333, 12181, 284, 319, 2387, 6352, 1730, 263, 1551, 23375, 5231, 2387, 2745, 1730, 263, 10946, 31590, 921, 339, 11764, 19906, 267, 562, 4297, 319, 5231, 2387, 258, 901, 3009, 568, 8329, 676, 521, 1372, 611, 640, 3333, 12609, 26384, 290, 258, 692, 2387, 2260, 595, 258, 1982, 547, 1265, 5021, 17784, 339, 2040, 319, 5231, 2387, 6748, 319, 2387, 21902, 32547, 2387, 6748, 319, 2387, 21902, 5861, 565, 27928, 269, 17653, 545, 32547, 2387, 6748, 319, 2387, 21902, 11482, 514, 336, 32547, 5231, 2387, 21504, 319, 2387, 5035, 319, 2387, 24427, 294, 2715, 319, 5231, 2387, 6892, 1109, 19896, 9577, 547, 5173, 5021, 17784, 339, 2040, 319, 2387, 6892, 1109, 1730, 21504, 319, 2387, 18878, 319, 2387, 842, 319, 2387, 10946, 31590, 921, 339, 11764, 263, 1730, 842, 1730, 26514, 2855, 267, 12181, 842, 319, 2387, 333, 23375, 2387, 6892, 1109, 1730, 346, 319, 5231, 2387, 13725, 1109, 19896, 19461, 1125, 21879, 268, 6783, 319, 2387, 13725, 1109, 1730, 842, 1730, 26514, 3193, 306, 4428, 6635, 337, 815, 12181, 2908, 319, 2387, 842, 1730, 314, 333, 1341, 476, 272, 22049, 319, 5231, 2387, 13725, 1109, 19896, 5590, 519, 2063, 3693, 319, 2387, 13725, 1109, 1730, 10946, 306, 4428, 6635, 337, 19559, 316, 815, 476, 271, 32547, 5231, 2387, 13725, 1109, 19896, 12433, 21879, 268, 6783, 5627, 5021, 319, 2387, 13725, 1109, 19896, 1871, 585, 4994, 1775, 267, 1775, 266, 272, 267, 1775, 266, 273, 267, 3267, 562, 268, 272, 538, 319, 2387, 13725, 1109, 19896, 2855, 5157, 316, 319, 2387, 13725, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 328, 815, 562, 910, 476, 272, 282, 1775, 13843, 476, 271, 282, 4534, 328, 23375, 2387, 24748, 1109, 1730, 10946, 306, 4428, 6635, 337, 5157, 316, 319, 2387, 7673, 13725, 1109, 1730, 284, 4569, 8160, 1314, 32384, 306, 4428, 6635, 337, 5157, 1341, 476, 272, 3910, 2855, 5157, 316, 5148, 319, 5231, 2387, 13725, 1109, 1730, 842, 319, 2387, 753, 815, 476, 271, 32547, 5231, 2387, 13725, 1109, 19896, 19461, 1125, 1305, 8708, 319, 2387, 13725, 1109, 1730, 306, 9285, 13729, 283, 1730, 842, 1730, 285, 1970, 19368, 815, 12181, 2908, 319, 2387, 306, 9285, 13729, 283, 1730, 842, 1730, 285, 3890, 32547, 5231, 2387, 13725, 1109, 19896, 23453, 5934, 1871, 585, 1101, 6476, 319, 2387, 13725, 1109, 19896, 538, 519, 1305, 319, 2387, 13725, 1109, 1730, 869, 19368, 269, 11754, 263, 1730, 842, 1730, 269, 14737, 19368, 5148, 319, 5231, 2387, 13725, 1109, 1730, 1721, 319, 25464, 1730, 842, 319, 2387, 328, 815, 476, 271, 282, 1775, 2999, 562, 910, 476, 272, 282, 1341, 266, 328, 264, 2715, 319, 2387, 24748, 1109, 1730, 604, 319, 25464, 10946, 306, 4428, 6635, 337, 5157, 1341, 476, 272, 316, 3436, 2855, 5157, 8079, 2715, 319, 2387, 7673, 13725, 1109, 1730, 753, 815, 4569, 8160, 1314, 263, 319, 2387, 18987, 6892, 1109, 1730, 753, 267, 319, 2387, 18987, 6892, 1109, 1730, 869, 19368, 11053, 820, 4407, 3287, 18092, 1535, 2999, 2855, 5157, 8079, 319, 2387, 18987, 24748, 1109, 1730, 269, 8310, 13237, 2387, 18987, 13725, 1109, 1730, 266, 2855, 5157, 316, 1341, 3193, 306, 4428, 6635, 337, 5157, 1341, 476, 272, 316, 5148, 319, 5231, 2387, 7673, 13725, 1109, 19896, 23453, 2855, 5157, 316, 538, 1305, 283, 285, 585, 2417, 319, 2387, 7673, 13725, 1109, 19896, 4393, 319, 2387, 7673, 13725, 1109, 1730, 869, 19368, 269, 11754, 19906, 5157, 316, 5148, 319, 2387, 24748, 1109, 31299, 319, 2387, 13725, 1109, 31299, 319, 2387, 13725, 1109, 1730, 8873, 319, 2387, 753, 32547, 2387, 6892, 1109, 31299, 319, 5231, 2387, 6892, 1109, 1730, 18878, 319, 2387, 21504, 319, 2387, 341, 1355, 319, 2387, 14611, 13237, 2387, 6892, 1109, 1730, 346, 319, 5231, 2387, 13725, 1109, 19896, 8943, 319, 2387, 13725, 1109, 1730, 842, 1730, 26514, 2855, 815, 2715, 476, 273, 267, 476, 276, 267, 476, 274, 267, 476, 272, 267, 476, 275, 267, 476, 280, 7684, 32547, 2387, 13725, 1109, 1730, 842, 319, 2387, 333, 815, 476, 277, 32547, 5231, 2387, 13725, 1109, 1730, 3519, 18030, 269, 2237, 18118, 32384, 31590, 921, 339, 11764, 19906, 267, 562, 4297, 32547, 2387, 6892, 1109, 31299, 319, 2387, 348, 319, 5231, 2387, 2260, 901, 3009, 568, 8329, 676, 521, 1678, 541, 269, 26384, 297, 822, 2444, 2815, 692, 2387, 2260, 10084, 29441, 1982, 547, 1265, 5021, 17784, 339, 2040, 319, 5231, 2387, 2260, 9577, 547, 5173, 5021, 17784, 339, 2040, 319, 2387, 10818, 319, 2387, 10946, 31590, 921, 339, 11764, 19906, 267, 562, 23375, 2387, 346, 319, 2387, 6892, 1109, 19896, 19461, 1125, 21879, 268, 6783, 319, 2387, 6892, 1109, 1730, 12534, 319, 2387, 10946, 306, 4428, 6635, 337, 815, 12181, 2908, 319, 2387, 26161, 3799, 1341, 476, 272, 5148, 319, 2387, 6892, 1109, 319, 1109, 2387, 6892, 1109, 19896, 5590, 519, 2063, 3693, 319, 2387, 6892, 1109, 1730, 10946, 306, 4428, 6635, 337, 19559, 316, 815, 476, 271, 32547, 2387, 6892, 1109, 319, 1109, 2387, 6892, 1109, 19896, 12433, 21879, 268, 6783, 5627, 5021, 2387, 2387, 6892, 1109, 19896, 1871, 585, 4994, 1775, 267, 1775, 266, 272, 267, 1775, 266, 273, 267, 3267, 562, 268, 272, 538, 2855, 5157, 316, 319, 2387, 6892, 1109, 1730, 1721, 1730, 263, 1730, 12534, 319, 2387, 328, 815, 562, 910, 476, 272, 282, 1775, 13843, 476, 271, 282, 4534, 328, 23375, 2387, 13725, 1109, 1730, 10946, 306, 4428, 6635, 337, 5157, 316, 815, 4569, 27982, 32384, 306, 4428, 6635, 337, 5157, 1341, 476, 272, 3910, 2855, 5157, 316, 5148, 319, 2387, 6892, 1109, 319, 1109, 2387, 6892, 1109, 1730, 12534, 319, 2387, 753, 815, 476, 271, 32547, 2387, 6892, 1109, 319, 1109, 2387, 6892, 1109, 19896, 19461, 1125, 1305, 8708, 319, 2387, 6892, 1109, 1730, 12534, 319, 2387, 869, 19368, 815, 12181, 2908, 319, 2387, 13729, 3890, 32547, 2387, 6892, 1109, 319, 1109, 2387, 6892, 1109, 19896, 23453, 5934, 1871, 585, 1101, 6476, 538, 519, 1305, 319, 2387, 6892, 1109, 1730, 869, 19368, 14491, 263, 10831, 8160, 2562, 318, 6347, 25539, 318, 19860, 9680, 2207, 5148, 319, 2387, 6892, 1109, 319, 1109, 2387, 6892, 1109, 1730, 1721, 1730, 263, 1730, 12534, 319, 2387, 328, 815, 476, 271, 282, 1775, 2999, 562, 910, 476, 272, 282, 1341, 266, 328, 23375, 2387 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 27484, 454, 272, 269, 11020, 10445, 532, 14313, 454, 273, 269, 12020, 543, 9452, 24692, 454, 274, 269, 4676, 1456, 543, 3798, 1746, 454, 290, 269, 13079, 1081, 543, 5685, 5109, 29110, 2583, 454, 272, 269, 681, 754, 1359, 543, 5489, 9430, 454, 273, 269, 17006, 9966, 528, 543, 31864, 454, 274, 269, 5623, 532, 543, 4860, 2358, 692, 4353, 269, 8865, 5525, 543, 5811, 454, 288, 269, 22718, 27748, 545, 2961, 545, 2137, 454, 272, 269, 6723, 14265, 328, 802, 327, 1678, 781, 834, 763, 25326, 28755, 14982, 2672, 924, 4840, 273, 269, 7338, 715, 770, 781, 834, 4462, 2193, 6341, 257, 543, 834, 289, 1601, 570, 15634, 4840, 274, 269, 6424, 23821, 710, 781, 834, 32178, 29337, 4840, 289, 269, 9181, 532, 7073, 6201, 454, 272, 269, 32000, 14295, 9398, 538, 1715, 4944, 3639, 543, 7395, 16383, 454, 273, 269, 5769, 6490, 525, 543, 5164, 531, 11576, 725, 454, 274, 269, 18753, 26358, 543, 14938, 1113, 3203, 692, 309, 269, 15979, 543, 26930, 538, 2961, 545, 1155, 14301, 454, 288, 269, 21344, 3203, 2065, 15213, 543, 5398, 12005, 454, 289, 269, 3680, 532, 5510, 2400, 543, 15053, 995, 11724, 725, 454, 290, 269, 26472, 15474, 7827, 543, 15511, 692, 9654, 269, 24732, 268, 4002, 6657, 543, 7600, 1664, 454, 288, 269, 10572, 25849, 906, 454, 272, 269, 8073, 513, 3126, 540, 1614, 1582, 21307, 545, 2137, 1210, 1114, 23447, 543, 6163, 563, 273, 269, 5071, 513, 1286, 545, 1155, 1759, 593, 513, 3140, 4137, 610, 1857, 7209, 267, 6220, 2609, 540, 24337, 543, 9880, 563, 274, 269, 16503, 3433, 513, 2110, 1650, 610, 6429, 1210, 18615, 1286, 545, 1155, 8440, 563, 289, 269, 6828, 11242, 454, 272, 269, 20985, 23730, 8400, 585, 2870, 513, 1895, 1286, 545, 1155, 544, 1116, 563, 273, 269, 25398, 2689, 543, 5955, 13186, 585, 1367, 10467, 563, 274, 269, 4147, 4901, 593, 5683, 9270, 543, 3743, 2853, 538, 1286, 545, 1155, 5373, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10111, 545, 1155, 5373, 568, 606, 1148, 1106, 602, 3340, 513, 4999, 540, 5578, 267, 5876, 543, 4480, 269, 2755, 2757, 2409, 540, 1565, 998, 2835, 543, 538, 16512, 5049, 723, 741, 26350, 267, 2228, 6030, 2709, 13418, 543, 8112, 585, 1346, 3168, 547, 1020, 741, 1983, 538, 1286, 545, 1155, 5373, 269, 2060, 3875, 6030, 2139, 2228, 267, 14971, 5159, 723, 1569, 547, 513, 3376, 2039, 540, 2200, 547, 948, 873, 2087, 741, 5759, 267, 689, 19444, 547, 4359, 2157, 269, 901, 2376, 2488, 606, 7650, 540, 519, 1655, 1286, 545, 1155, 6030, 2139, 2228, 267, 10223, 519, 2934, 543, 2640, 540, 1142, 547, 948, 3988, 1118, 606, 5483, 3375, 563, 2080, 779, 513, 1413, 693, 519, 7454, 2961, 545, 1155, 20043, 543, 12501, 5874, 6732, 543, 1018, 789, 723, 547, 2709, 585, 596, 2336, 1015, 7454, 2961, 545, 1155, 20043, 543, 12501, 5874, 6732, 454, 268, 476, 1015, 7454, 2961, 545, 1155, 20043, 543, 12501, 5874, 6732, 454, 268, 476, 272, 269, 1215, 547, 8571, 595, 1393, 14295, 3019, 2961, 545, 1155, 676, 661, 1188, 344, 744, 630, 308, 323, 5519, 264, 630, 5978, 7454, 17292, 994, 268, 476, 273, 269, 1215, 547, 2721, 2961, 545, 2137, 676, 3807, 514, 13648, 630, 308, 323, 5519, 994, 268, 476, 274, 269, 634, 3010, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 10111, 545, 1155, 14301, 257, 607, 851, 540, 834, 11286, 1315, 9828, 1315, 14295, 3019, 532, 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, 11150, 543, 570, 716, 923, 910, 1133, 548, 4770, 2659, 10341, 538, 10067, 329, 784, 692, 294, 22901, 902, 267, 1762, 5640, 256, 3657, 596, 4712, 547, 1377, 909, 707, 11080, 1983, 543, 3605, 519, 4241, 1158, 540, 4640, 1369, 519, 5929, 22739, 2861, 3014, 1572, 10067, 329, 784, 286, 901, 3184, 786, 6338, 596, 547, 1585, 2994, 543, 12485, 1031, 676, 4810, 5716, 1247, 5329, 1919, 2653, 543, 11791, 269, 2913, 781, 4685, 883, 519, 9159, 7122, 540, 10067, 329, 784, 2439, 1262, 4089, 476, 272, 281, 4197, 519, 17943, 540, 10067, 329, 784, 4373, 300, 1695, 329, 784, 568, 513, 2442, 4457, 3014, 3335, 10150, 609, 2185, 5716, 1472, 513, 3349, 4904, 609, 18991, 18705, 17981, 269, 3962, 6345, 5956, 609, 513, 1688, 9967, 540, 24369, 17981, 6537, 14477, 689, 513, 1305, 540, 476, 13893, 17981, 269, 1452, 17981, 2099, 2338, 630, 272, 268, 280, 1070, 17015, 630, 322, 597, 3380, 267, 536, 14781, 657, 267, 3197, 1070, 12798, 630, 333, 2180, 267, 5045, 267, 7532, 267, 7178, 264, 543, 22645, 630, 1042, 267, 3039, 267, 3043, 6393, 7312, 1292, 3804, 538, 10067, 329, 784, 568, 8108, 5036, 1107, 2901, 9696, 630, 22764, 15654, 17981, 540, 519, 1482, 9290, 264, 610, 2516, 630, 22764, 9838, 17981, 1040, 4495, 596, 1711, 891, 10659, 267, 596, 17551, 834, 300, 1695, 329, 784, 10590, 543, 3094, 519, 5180, 269, 1809, 7227, 267, 972, 781, 811, 982, 1175, 10655, 5036, 282, 1577, 781, 2263, 930, 10888, 2994, 2439, 1262, 4089, 476, 273, 281, 5295, 995, 10067, 329, 784, 11150, 4373, 265, 25618, 344, 476, 272, 281, 9866, 3569, 22177, 12024, 1022, 1390, 19792, 267, 4742, 513, 4487, 10067, 329, 784, 6345, 1797, 28798, 707, 8343, 1983, 269, 9796, 3007, 547, 1018, 824, 5716, 2445, 543, 1167, 731, 269, 1635, 3257, 865, 267, 596, 2744, 3407, 4030, 827, 741, 3946, 267, 3850, 596, 547, 1544, 9935, 543, 3082, 950, 2556, 780, 7078, 281, 1403, 1776, 6345, 8952, 1178, 25290, 1412, 278, 10580, 10086, 789, 1522, 991, 621, 547, 2347, 513, 5311, 899, 1412, 277, 268, 278, 268, 279, 10580, 9538, 1924, 952, 596, 4865, 519, 1412, 279, 5858, 10086, 1589, 7466, 1354, 1167, 8973, 621, 2439, 265, 25618, 344, 476, 273, 281, 6726, 730, 24093, 22177, 21982, 4220, 3085, 1405, 8209, 1611, 9117, 22672, 8393, 269, 589, 7229, 1981, 3322, 10442, 1761, 4093, 1759, 593, 2139, 1344, 269, 6884, 267, 27531, 2110, 3856, 12374, 949, 1291, 547, 1279, 3856, 1967, 780, 7078, 281, 14597, 596, 4867, 3180, 1079, 8424, 855, 3668, 513, 6292, 2877, 547, 1106, 513, 4570, 17083, 269, 5502, 540, 5612, 19101, 513, 3791, 6292, 267, 2015, 7996, 585, 1732, 3255, 971, 607, 5373, 513, 2582, 22739, 602, 29349, 2789, 8424, 693, 2899, 780, 265, 25618, 344, 476, 274, 281, 5494, 731, 5004, 22177, 11577, 1841, 5749, 1405, 6071, 2451, 13569, 282, 789, 2811, 2629, 4773, 540, 1344, 269, 19737, 873, 3927, 2337, 2226, 606, 6316, 936, 17837, 945, 30391, 741, 2956, 780, 7078, 281, 8347, 547, 3314, 799, 17981, 941, 5892, 23987, 269, 1879, 14045, 2436, 547, 1832, 610, 12235, 2476, 513, 1880, 22739, 267, 6616, 922, 1686, 1223, 3310, 707, 3375, 9797, 780, 1262, 4089, 476, 274, 281, 15043, 12736, 940, 570, 716, 923, 4373, 3086, 602, 649, 4312, 4988, 2596, 2994, 1577, 781, 1413, 693, 1808, 12485, 602, 786, 3986, 707, 8458, 540, 11802, 1384, 265, 307, 12519, 476, 272, 281, 8490, 13038, 30498, 22177, 18360, 633, 547, 1628, 2789, 2009, 5036, 8195, 269, 901, 1259, 267, 596, 2333, 8112, 1282, 29863, 267, 7175, 2656, 11941, 2687, 547, 4657, 6381, 780, 7078, 281, 2755, 14335, 513, 5311, 1210, 1412, 276, 268, 277, 268, 278, 10580, 10086, 849, 960, 2509, 2870, 513, 1895, 540, 1614, 1412, 276, 10580, 9538, 901, 12242, 1445, 5849, 17545, 2429, 519, 3014, 780, 265, 307, 12519, 476, 273, 281, 7216, 19369, 22177, 7093, 6768, 3054, 2038, 538, 519, 3014, 676, 17935, 547, 5150, 1898, 17981, 3533, 269, 26787, 2178, 13210, 533, 2314, 519, 13374, 4724, 22638, 17636, 780, 7078, 281, 27116, 1005, 12363, 17981, 630, 339, 3796, 8204, 519, 5207, 610, 9803, 1871, 538, 1142, 9290, 264, 2488, 4396, 24536, 2094, 789, 1419, 2408, 1447, 4749, 3379, 547, 1875, 3856, 1400, 3283, 780, 265, 307, 12519, 476, 274, 281, 11154, 1464, 22177, 6826, 5423, 547, 1689, 8846, 24847, 8164, 4316, 5679, 4169, 269, 9861, 14461, 554, 2086, 619, 3356, 267, 6466, 15268, 7561, 10597, 2949, 2773, 780, 7078, 281, 5994, 596, 7620, 6322, 585, 513, 1978, 5311, 267, 855, 1287, 5469, 513, 4960, 547, 3409, 513, 1114, 4999, 3079, 269, 3400, 321, 602, 4316, 256, 21253, 2225, 17188, 1055, 538, 519, 6422, 7706, 540, 10067, 329, 784, 780, 4517, 972, 596, 723, 621, 910, 938, 3408, 540, 7580, 3206, 543, 28365, 23603, 532, 1369, 519, 22539, 6389, 540, 10067, 329, 784, 269, 5457, 267, 2259, 2306, 3501, 269, 5901, 17975, 891, 2553, 267, 2671, 873, 609, 8284, 12439, 267, 543, 4585, 707, 23258, 1332, 256, 8414, 11080, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 25440, 16629, 3626, 681, 16244, 10794, 6732, 3767, 454, 305, 16244, 568, 513, 3556, 3014, 602, 568, 5129, 676, 1167, 8973, 267, 5283, 3429, 267, 543, 18413, 1055, 6486, 269, 6258, 875, 547, 1404, 713, 2241, 2943, 1360, 3078, 3014, 1336, 538, 11670, 8732, 16394, 543, 1289, 707, 2828, 547, 6443, 563, 8368, 540, 12937, 454, 268, 7591, 645, 12839, 681, 16244, 6732, 454, 268, 1548, 568, 11670, 681, 16244, 888, 268, 16797, 3778, 540, 681, 16244, 454, 268, 29938, 540, 681, 16244, 538, 11670, 16629, 16394, 454, 268, 1215, 1677, 7591, 11670, 681, 16244, 888, 268, 1548, 779, 519, 7454, 681, 16244, 15613, 888, 268, 29892, 11670, 681, 16244, 1280, 5131, 454, 268, 6732, 681, 16244, 12844, 4926, 454, 268, 681, 16244, 25538, 1359, 543, 25538, 1359, 19928, 1903, 454, 268, 11670, 681, 16244, 30914, 454, 268, 1215, 547, 7994, 519, 7454, 681, 16244, 11670, 16629, 3626, 888, 25440, 645, 12839, 681, 16244, 6732, 454, 763, 3014, 540, 681, 16244, 568, 607, 2025, 607, 930, 2477, 267, 543, 2221, 621, 814, 1831, 835, 540, 519, 1034, 5129, 3756, 538, 519, 1158, 676, 1312, 3318, 12464, 6840, 543, 993, 622, 2720, 7567, 269, 3371, 596, 666, 1265, 782, 1344, 827, 11670, 681, 16244, 543, 922, 14726, 267, 7258, 875, 547, 723, 1187, 4730, 681, 16244, 3756, 538, 11670, 8732, 16394, 563, 30531, 8314, 681, 16244, 3756, 616, 2228, 25877, 3756, 540, 1312, 5578, 543, 9939, 269, 769, 713, 1257, 267, 649, 11110, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 25618, 625, 543, 570, 716, 923, 257, 607, 851, 540, 834, 294, 4456, 2464, 1299, 8028, 2316, 9654, 25765, 1315, 10067, 329, 784, 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, 589, 26726, 7066, 5501, 645, 2940, 987, 519, 31515, 692, 296, 4312, 2141, 1044, 19832, 676, 938, 12084, 267, 855, 2760, 811, 865, 982, 950, 594, 3323, 11362, 538, 519, 9721, 7256, 513, 1906, 1296, 1394, 269, 898, 729, 1250, 9101, 689, 519, 3232, 20836, 267, 513, 4960, 547, 1921, 609, 2470, 543, 7340, 827, 782, 1250, 13542, 269, 1809, 593, 835, 4685, 267, 594, 16686, 2390, 1945, 602, 1131, 1689, 1250, 5133, 11014, 780, 4263, 1101, 267, 3388, 8604, 3339, 910, 519, 8912, 5044, 540, 3165, 267, 12933, 30702, 267, 543, 2371, 16559, 2066, 519, 13837, 331, 3233, 269, 3973, 267, 856, 540, 519, 7944, 540, 1250, 3750, 267, 594, 8068, 1945, 8966, 281, 9343, 540, 1018, 6743, 899, 3504, 6149, 3889, 13148, 12617, 538, 519, 5070, 269, 3733, 2295, 986, 1027, 256, 16393, 891, 581, 24790, 540, 513, 3141, 5287, 10340, 610, 6928, 342, 516, 1188, 2496, 7021, 519, 1985, 1896, 4374, 267, 594, 1500, 2789, 15143, 547, 3561, 543, 1353, 891, 21272, 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 ]
[ 0, 13510, 10216, 932, 1682, 5652, 281, 12096, 9313, 540, 519, 11776, 7521, 305, 895, 1575, 281, 16024, 2103, 262, 6875, 454, 763, 1249, 602, 1004, 1847, 1472, 519, 1158, 814, 1044, 3020, 2479, 2094, 519, 1480, 5198, 11542, 909, 593, 1079, 7953, 269, 1703, 568, 4986, 6433, 3697, 827, 713, 269, 1677, 519, 6708, 602, 649, 616, 538, 1249, 6849, 16839, 267, 789, 616, 2804, 543, 2825, 538, 2470, 269, 1452, 1079, 16839, 616, 4448, 609, 11776, 1317, 540, 519, 1259, 2200, 616, 13671, 538, 1978, 2694, 540, 519, 1158, 269, 634, 4098, 540, 11776, 3335, 2501, 609, 32066, 2950, 262, 1373, 14593, 1055, 741, 2244, 676, 4914, 14078, 269, 2334, 568, 835, 540, 519, 1292, 4128, 602, 1004, 1847, 269, 1924, 519, 6433, 568, 711, 519, 1249, 602, 789, 616, 3001, 267, 519, 6433, 568, 519, 1249, 602, 789, 666, 1405, 7639, 1141, 789, 616, 563, 2691, 649, 1413, 693, 11776, 689, 5824, 3013, 267, 621, 568, 1271, 547, 1832, 538, 2247, 3013, 781, 1279, 1686, 540, 2797, 543, 4108, 28735, 538, 519, 3148, 269, 20616, 1143, 814, 2141, 1044, 4448, 547, 10168, 269, 634, 1514, 5322, 540, 519, 476, 3422, 271, 338, 15518, 527, 574, 1242, 16765, 10168, 269, 1809, 538, 930, 2081, 519, 7121, 540, 519, 19366, 267, 610, 519, 10363, 19366, 267, 814, 24111, 909, 547, 6445, 519, 7934, 2451, 676, 519, 17594, 540, 16765, 10168, 563, 9213, 649, 1413, 1394, 693, 4031, 602, 5806, 3990, 1996, 17051, 543, 2161, 602, 1346, 941, 3983, 4031, 543, 602, 621, 568, 1434, 602, 1004, 899, 28266, 20088, 13264, 873, 543, 13934, 873, 543, 5555, 3893, 873, 4957, 269, 1284, 8661, 602, 269, 1809, 1317, 621, 568, 1869, 16048, 547, 5806, 3729, 1996, 11082, 267, 649, 1810, 1405, 4019, 519, 1482, 4441, 547, 1004, 945, 2736, 610, 4161, 519, 11776, 4031, 563, 10144, 1058, 723, 2924, 676, 16495, 540, 519, 1249, 602, 789, 616, 1004, 269, 10738, 3013, 267, 689, 1533, 547, 1533, 267, 649, 5431, 602, 6240, 269, 808, 9766, 323, 2109, 958, 594, 949, 581, 513, 17055, 540, 12590, 610, 594, 949, 581, 513, 17055, 540, 21086, 267, 855, 594, 1869, 723, 2924, 607, 513, 1268, 267, 543, 835, 540, 1346, 2924, 568, 519, 1318, 547, 2797, 6041, 16382, 594, 4755, 547, 581, 269, 1809, 10393, 950, 2576, 22613, 519, 3084, 8473, 267, 938, 2463, 585, 8103, 7106, 8986, 2807, 0, 1103, 2221, 779, 5736, 540, 4359, 1382, 543, 5499, 2029, 267, 9357, 7397, 723, 7153, 607, 606, 1898, 1907, 1369, 4853, 543, 14453, 20682, 269, 1452, 4359, 7397, 1683, 4977, 543, 6325, 2164, 593, 519, 6482, 540, 519, 5834, 540, 1808, 12274, 538, 513, 5277, 3070, 267, 6679, 909, 513, 2039, 540, 1761, 3156, 538, 519, 4853, 543, 14453, 4610, 563, 4415, 4797, 8441, 538, 713, 2029, 267, 519, 2104, 666, 1152, 2823, 754, 513, 3152, 16126, 593, 9357, 7397, 267, 17923, 741, 2956, 538, 891, 2629, 6080, 563, 296, 517, 631, 4394, 281, 12708, 13088, 585, 5915, 21505, 24322, 454, 296, 517, 7397, 616, 1851, 519, 1034, 2629, 7893, 7405, 538, 1022, 8047, 269, 4256, 946, 2488, 4977, 6482, 540, 9357, 5834, 267, 3850, 3173, 547, 6218, 543, 6895, 519, 9063, 543, 19428, 540, 1585, 3435, 269, 3245, 5464, 1216, 19454, 547, 1804, 8397, 3114, 5663, 267, 891, 2645, 616, 16832, 538, 4853, 20682, 563, 1103, 4853, 3157, 267, 971, 607, 6850, 680, 908, 267, 621, 568, 4105, 547, 2226, 5812, 9357, 9830, 547, 2327, 1587, 2298, 269, 3371, 267, 9357, 7397, 7173, 841, 267, 7175, 22111, 5826, 540, 25617, 9830, 543, 4180, 7833, 726, 908, 269, 769, 1840, 267, 538, 519, 1426, 2872, 267, 9357, 7397, 616, 1031, 547, 2708, 519, 24952, 543, 23639, 540, 1426, 543, 16098, 267, 4180, 519, 3106, 543, 2298, 540, 519, 2472, 649, 8532, 563, 4942, 1301, 11914, 10241, 540, 594, 517, 631, 4394, 454, 1103, 1022, 14453, 8047, 267, 4509, 9395, 1852, 936, 519, 3114, 5888, 540, 3435, 568, 1898, 547, 2327, 519, 2298, 543, 12117, 540, 5061, 269, 594, 517, 7397, 616, 519, 1883, 547, 713, 1852, 267, 3246, 4977, 543, 2143, 2079, 540, 519, 4527, 543, 5834, 540, 1585, 12274, 538, 3435, 563, 2690, 1383, 267, 9357, 7397, 616, 1031, 547, 6895, 519, 25617, 5834, 538, 32326, 3435, 267, 4180, 741, 3106, 585, 1480, 946, 269, 6271, 946, 540, 891, 7397, 568, 538, 519, 2298, 1852, 540, 14453, 30422, 267, 971, 607, 21447, 543, 14342, 267, 585, 519, 7020, 543, 3067, 2305, 540, 1808, 12274, 269, 901, 5849, 602, 5061, 2743, 519, 2838, 3106, 543, 12117, 16551, 1991, 547, 5010, 5305, 563, 296, 517, 631, 4394, 281, 5455, 5765, 11627, 725, 454, 2026, 2257, 543, 2029, 4434, 267, 865, 798, 519, 1761, 3096, 540, 9357, 7397, 269, 2060, 519, 1646, 540, 1164, 1790, 13440, 1707, 267, 9910, 4405, 1242, 7397, 267, 891, 2645, 616, 4397, 547, 2709, 1256, 811, 3156, 585, 519, 4324, 540, 519, 14453, 543, 4853, 6080, 563, 1103, 519, 14453, 2872, 267, 621, 568, 17191, 602, 519, 1646, 540, 1164, 1606, 27383, 9357, 7397, 786, 5512, 519, 7020, 540, 1256, 4130, 10250, 12274, 269, 901, 267, 538, 2490, 267, 949, 5512, 519, 2504, 540, 10930, 543, 811, 2500, 5061, 269, 769, 2872, 267, 1007, 7835, 538, 9357, 7397, 616, 4397, 547, 7520, 3152, 1852, 936, 5663, 3157, 267, 799, 786, 5512, 519, 2504, 540, 1164, 7779, 5370, 811, 7561, 543, 1942, 13716, 1947, 563, 1432, 649, 2709, 596, 693, 17833, 7322, 454, 2005, 568, 4061, 2312, 602, 9357, 7397, 616, 1898, 2645, 538, 4853, 543, 14453, 20682, 269, 4256, 2702, 547, 1683, 4977, 13220, 540, 9357, 5834, 538, 5277, 3435, 711, 1152, 2636, 585, 3152, 1852, 936, 5663, 3157, 267, 855, 849, 16881, 519, 2504, 540, 10930, 267, 2362, 2298, 2472, 543, 5061, 563, 25603, 938, 9357, 7397, 28313, 267, 607, 513, 10672, 649, 10018, 2930, 1489, 543, 12905, 5796, 1282, 707, 6718, 267, 3314, 602, 649, 2709, 596, 519, 1655, 3902, 538, 519, 2344, 543, 649, 616, 4092, 538, 1169, 7944, 540, 519, 1158, 269, 28313, 0, 6097, 547, 2229, 1239, 5950, 538, 4873, 476, 1708, 273, 267, 519, 1297, 540, 1053, 538, 13416, 3506, 609, 606, 661, 18449, 1544, 814, 2799, 547, 476, 275, 10065, 14424, 713, 547, 476, 273, 269, 279, 260, 538, 476, 1001, 277, 543, 922, 2653, 547, 1294, 602, 267, 2022, 6855, 267, 10453, 991, 11285, 590, 2894, 1489, 811, 982, 2479, 563, 23744, 267, 590, 2894, 8813, 883, 476, 275, 2010, 540, 6688, 543, 891, 616, 912, 31636, 543, 19983, 267, 595, 10744, 543, 4804, 267, 4317, 267, 3929, 543, 10076, 1072, 7965, 563, 20751, 891, 6688, 596, 786, 1265, 1082, 1114, 2010, 540, 4170, 609, 519, 1034, 1455, 538, 18520, 12140, 1373, 20150, 267, 9210, 17952, 267, 6820, 5548, 599, 267, 11838, 267, 590, 17162, 267, 9501, 17162, 267, 21619, 21685, 267, 21619, 335, 571, 19333, 267, 590, 4932, 295, 267, 11576, 800, 1299, 8447, 20126, 267, 5900, 16670, 2115, 630, 10472, 835, 568, 811, 1455, 2094, 519, 13044, 866, 6855, 7142, 3506, 547, 2673, 1916, 14611, 6894, 12729, 543, 18520, 12140, 616, 2484, 811, 8537, 2221, 982, 2479, 1354, 543, 713, 1797, 602, 1453, 609, 3606, 1565, 2115, 543, 2027, 3872, 4170, 616, 1419, 13473, 1369, 513, 2048, 10852, 6894, 685, 1565, 1604, 267, 2864, 982, 513, 11285, 1153, 563, 7212, 13416, 3506, 949, 1419, 723, 11285, 20284, 16735, 338, 267, 29621, 19590, 267, 24651, 6764, 1515, 618, 630, 26980, 264, 3038, 2888, 543, 590, 2894, 14074, 607, 851, 540, 741, 3506, 267, 519, 2856, 568, 602, 1053, 723, 607, 1454, 1569, 547, 1451, 538, 513, 13416, 1604, 609, 11285, 700, 306, 2026, 538, 519, 13460, 563, 8170, 1576, 267, 519, 14074, 543, 2200, 1369, 13416, 1153, 786, 8597, 585, 590, 2894, 4841, 945, 949, 4324, 689, 1114, 1565, 5054, 538, 930, 5396, 267, 610, 949, 991, 12341, 26982, 2678, 547, 1451, 693, 2053, 267, 543, 891, 786, 1419, 1331, 11285, 3937, 543, 11623, 1519, 10444, 11623, 267, 11876, 1235, 267, 2909, 4068, 6703, 267, 3677, 3043, 15236, 267, 11285, 31254, 3937, 610, 1175, 1362, 7306, 602, 1450, 585, 811, 540, 513, 476, 272, 268, 272, 1565, 1995, 563, 763, 1909, 540, 513, 4804, 8081, 19608, 630, 299, 6347, 264, 666, 4268, 11104, 3585, 4470, 593, 519, 2115, 540, 519, 1053, 607, 1134, 607, 519, 11285, 2866, 543, 20340, 519, 700, 6347, 949, 723, 269, 10705, 267, 519, 700, 6347, 786, 13173, 2901, 476, 272, 2875, 610, 513, 1507, 1895, 540, 1053, 1282, 4245, 543, 6148, 1256, 1282, 2736, 543, 12899, 2053, 269, 634, 700, 6347, 786, 1106, 513, 2673, 6125, 543, 581, 519, 3095, 1063, 519, 1362, 4116, 267, 590, 2894, 10870, 267, 20793, 307, 607, 1134, 607, 14268, 267, 5516, 3464, 543, 15050, 2103, 563, 22492, 626, 2866, 949, 1331, 282, 4197, 20150, 267, 12243, 5938, 778, 267, 10163, 571, 842, 9751, 267, 15015, 30047, 267, 1520, 2381, 3563, 532, 2405, 1709, 267, 3689, 22707, 267, 661, 7032, 6755, 2866, 267, 645, 20784, 267, 595, 3722, 4047, 5426, 476, 273, 610, 476, 274, 267, 623, 4488, 306, 267, 25120, 26293, 607, 1134, 607, 20340, 11341, 547, 2657, 1299, 4317, 5516, 563, 2690, 2417, 1344, 593, 519, 1909, 540, 606, 700, 6347, 610, 1022, 2866, 2877, 5225, 3346, 15765, 5589, 8816, 618, 593, 476, 22903, 279, 476, 2004, 279, 476, 278, 1015, 279, 610, 3643, 938, 593, 11060, 1576, 1141, 596, 666, 1265, 7366, 540, 4143, 8713, 291, 20340, 2139, 269, 0, 17359, 1576, 6609, 454, 1607, 1576, 2488, 513, 13654, 1620, 540, 519, 1977, 4074, 3350, 269, 1411, 786, 1451, 827, 1018, 4074, 18787, 616, 267, 1946, 789, 2291, 267, 543, 519, 2621, 543, 2043, 602, 8032, 519, 4074, 3350, 607, 649, 917, 621, 2221, 563, 268, 4841, 786, 1174, 1018, 513, 4074, 9769, 568, 543, 519, 2078, 1063, 519, 4346, 267, 693, 2914, 650, 7694, 267, 543, 519, 991, 585, 18787, 563, 268, 4841, 786, 581, 2111, 547, 4020, 513, 2123, 4276, 547, 3140, 2621, 602, 8032, 519, 4074, 3350, 563, 268, 4841, 786, 1174, 2596, 9769, 2418, 563, 268, 4841, 786, 1174, 519, 2185, 2645, 18787, 991, 547, 2744, 1379, 543, 1831, 606, 3160, 7649, 547, 2359, 538, 1022, 3919, 454, 26705, 281, 901, 1875, 29931, 9016, 1576, 568, 6035, 2228, 1210, 519, 2052, 11663, 700, 5960, 267, 936, 513, 476, 1789, 6377, 1974, 269, 898, 568, 513, 1582, 19550, 607, 2106, 28942, 1576, 269, 901, 1576, 3217, 5111, 476, 276, 3108, 547, 2347, 269, 19893, 786, 581, 12290, 2429, 519, 1576, 547, 6542, 741, 15334, 593, 519, 1641, 2339, 269, 1358, 1590, 1780, 782, 10526, 1354, 8391, 519, 1576, 3983, 613, 563, 8269, 1495, 338, 666, 581, 9783, 1369, 476, 4366, 3108, 540, 14261, 282, 1100, 32479, 338, 786, 581, 2016, 1310, 519, 1576, 814, 13175, 269, 0, 15675, 513, 4583, 19002, 630, 528, 2319, 264, 543, 798, 930, 1382, 593, 741, 1272, 543, 4876, 269, 21302, 930, 540, 741, 5615, 267, 12644, 267, 543, 21274, 1369, 519, 32604, 540, 7209, 267, 8404, 267, 26901, 531, 267, 2566, 267, 4160, 267, 6735, 267, 9316, 267, 5955, 267, 543, 15699, 563, 268, 2052, 596, 2721, 1022, 19320, 547, 2250, 267, 1459, 610, 2104, 3466, 888, 268, 1548, 5615, 1705, 596, 7747, 1034, 4749, 286, 2052, 596, 4766, 513, 968, 25585, 892, 888, 268, 1548, 941, 519, 2547, 7928, 5615, 286, 4208, 888, 268, 2052, 596, 2697, 930, 2318, 267, 2942, 267, 1808, 267, 610, 2489, 12927, 906, 888, 268, 1215, 798, 891, 2188, 3565, 547, 519, 2949, 2773, 888, 268, 1215, 1705, 741, 2773, 1860, 741, 2623, 610, 5626, 18125, 888, 23921, 948, 609, 713, 7084, 610, 513, 2147, 835, 286, 9255, 707, 1931, 543, 4734, 519, 1964, 547, 938, 4966, 256, 0, 268, 4317, 1436, 568, 1271, 2443, 4804, 547, 581, 1472, 1007, 1919, 267, 1519, 1114, 1004, 543, 2831, 267, 2636, 5243, 547, 8853, 538, 1857, 4025, 269, 898, 666, 849, 2569, 8965, 2042, 543, 4160, 563, 268, 2353, 5243, 666, 4324, 689, 23462, 2443, 27814, 267, 513, 1007, 21937, 568, 1514, 1242, 689, 476, 278, 547, 476, 279, 4374, 540, 2085, 269, 1717, 267, 4587, 5243, 666, 849, 4324, 689, 23462, 563, 268, 634, 23462, 1184, 666, 581, 4101, 2443, 1411, 1616, 23462, 547, 581, 513, 2318, 1995, 269, 589, 16943, 666, 3277, 596, 547, 2937, 2915, 610, 21937, 2866, 5049, 952, 596, 2461, 2348, 2152, 563, 15900, 23462, 568, 2565, 547, 513, 21937 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 28934, 513, 1483, 2490, 4752, 585, 6800, 538, 1840, 547, 513, 1761, 28627, 585, 15451, 2208, 543, 12526, 563, 15933, 11183, 3157, 1331, 9126, 11423, 267, 4216, 11423, 267, 7047, 517, 11423, 267, 666, 940, 543, 28277, 269, 20045, 11423, 543, 4216, 11423, 585, 23611, 2472, 267, 7912, 267, 4006, 543, 32314, 588, 2117, 1127, 666, 581, 2523, 7452, 344, 269, 0, 22818, 476, 1839, 267, 1822, 562, 25207, 333, 25207, 11478, 538, 11316, 319, 328, 950, 18279, 13648, 8452, 538, 476, 10082, 279, 269, 769, 513, 16008, 693, 12968, 537, 2993, 25625, 2817, 19866, 13505, 593, 744, 24660, 593, 10732, 267, 1533, 8387, 543, 772, 2529, 269, 14199, 540, 519, 25181, 6424, 12672, 14551, 339, 9307, 602, 519, 4013, 1533, 6177, 540, 16127, 568, 1631, 2808, 513, 12219, 2249, 896, 519, 29510, 15661, 2920, 30867, 6454, 689, 922, 13155, 25084, 269, 715, 2940, 267, 630, 289, 7949, 320, 5070, 17771, 18424, 1070, 13155, 2249, 540, 979, 846, 540, 519, 1920, 26277, 13160, 630, 4650, 5775, 518, 6134, 525, 264, 543, 519, 4013, 1533, 6177, 540, 16127, 269, 19375, 14529, 650, 3999, 564, 476, 274, 267, 24062, 5784, 269, 16127, 781, 1533, 6177, 267, 519, 715, 2940, 267, 568, 835, 540, 476, 1789, 5017, 2249, 538, 16127, 9286, 676, 1312, 519, 3557, 543, 8549, 2229, 607, 606, 13155, 2249, 269, 670, 2177, 5357, 8085, 308, 1765, 634, 772, 2529, 269, 12551, 543, 13812, 6796, 2221, 6069, 1524, 4289, 532, 519, 22963, 979, 846, 267, 610, 562, 2940, 267, 689, 13155, 547, 12219, 896, 519, 29510, 15661, 2920, 269, 3267, 476, 274, 2986, 16127, 779, 4107, 29510, 15661, 1107, 22963, 3933, 330, 1530, 531, 267, 715, 2940, 267, 5682, 7256, 25725, 910, 30991, 281, 476, 274, 281, 5379, 269, 3776, 6967, 979, 846, 568, 849, 513, 24549, 648, 269, 7201, 519, 6392, 540, 519, 29510, 15661, 2920, 540, 476, 3192, 274, 267, 607, 29567, 630, 8002, 1070, 649, 267, 519, 772, 2529, 269, 12551, 543, 13812, 6796, 630, 306, 16291, 1070, 3313, 12219, 4567, 585, 519, 22963, 979, 846, 630, 333, 2940, 264, 630, 289, 7949, 320, 5070, 17771, 18424, 1040, 17497, 9286, 607, 606, 13155, 2249, 267, 715, 25333, 616, 21049, 547, 16127, 267, 2495, 789, 616, 711, 6923, 1336, 9170, 824, 982, 16127, 269, 1452, 13155, 2249, 2630, 616, 1883, 2694, 540, 519, 12144, 5117, 267, 543, 5103, 741, 546, 13388, 1782, 2338, 267, 616, 1898, 547, 519, 1858, 269, 634, 2551, 540, 519, 979, 846, 9103, 6817, 930, 476, 1839, 267, 1822, 950, 18279, 13648, 8452, 593, 519, 10195, 538, 476, 10082, 279, 267, 855, 4166, 1346, 2338, 941, 1232, 13846, 676, 1480, 10784, 22004, 2831, 267, 2394, 972, 1175, 476, 1789, 2451, 538, 476, 4198, 273, 269, 7201, 519, 6392, 540, 519, 29510, 15661, 2920, 540, 476, 3192, 274, 267, 607, 29567, 630, 8002, 1070, 649, 267, 519, 772, 2529, 563, 763, 562, 2940, 729, 1101, 6870, 538, 476, 3422, 278, 543, 814, 1044, 519, 1641, 540, 513, 13447, 539, 6051, 4674, 267, 1519, 27604, 9960, 267, 23246, 1852, 543, 7226, 4027, 269, 25181, 4972, 269, 634, 562, 2940, 2968, 16127, 779, 1533, 6177, 538, 476, 4198, 278, 269, 2311, 2547, 476, 3953, 5017, 2249, 723, 2560, 15391, 532, 267, 4212, 10655, 543, 32456, 676, 5189, 544, 784, 334, 4680, 267, 7314, 267, 14918, 267, 5243, 543, 14148, 8329, 547, 519, 8978, 7771, 540, 713, 2249, 269, 898, 568, 519, 15795, 1034, 13155, 1216, 325, 25717, 2249, 5001, 269, 12207, 3494, 827, 476, 1839, 267, 1822, 562, 2940, 11478, 950, 18279, 13648, 8452, 538, 16127, 538, 476, 10082, 279, 267, 855, 676, 519, 4571, 476, 3707, 271, 338, 267, 1152, 476, 2004, 5017, 7283, 269, 2311, 2547, 476, 3953, 5017, 2249, 723, 2560, 22244, 295, 16604, 2443, 634, 772, 2529, 269, 634, 562, 2940, 568, 513, 3448, 540, 519, 4516, 979, 846, 602, 7960, 538, 519, 22963, 11866, 883, 513, 1875, 332, 580, 24022, 267, 1875, 320, 638, 1738, 2249, 609, 27571, 12209, 543, 3368, 268, 19986, 5523, 12551, 543, 13812, 3028, 568, 6236, 9427, 562, 2940, 689, 519, 13155, 2249, 1592, 543, 17609, 621, 607, 12219, 3079, 267, 1310, 2551, 2338, 723, 1185, 513, 5818, 269, 634, 1592, 568, 1759, 593, 3621, 4879, 540, 606, 11248, 781, 4567, 676, 4966, 269, 1306, 609, 782, 2520, 3150, 267, 519, 715, 2940, 568, 1395, 25806, 269, 898, 568, 849, 519, 1152, 979, 846, 21049, 547, 519, 22963, 5246, 28396, 799, 6818, 282, 693, 2547, 5216, 824, 21049, 979, 846, 2249, 616, 1634, 547, 723, 1831, 17255, 269, 12207, 3494, 827, 476, 1839, 267, 1822, 562, 2940, 11478, 950, 18279, 13648, 8452, 538, 16127, 538, 476, 10082, 279, 267, 855, 676, 519, 4571, 476, 3707, 271, 338, 267, 1152, 476, 2004, 5017, 7283, 269, 634, 562, 2940, 630, 289, 7949, 320, 5070, 17771, 18424, 610, 29011, 18424, 1070, 849, 1634, 607, 562, 25207, 333, 25207, 543, 22963, 979, 846, 267, 568, 513, 2249, 540, 6177, 21049, 547, 519, 22963, 11866, 7868, 4013, 6177, 540, 519, 1533, 540, 11316, 390, 375, 328, 267, 519, 562, 2940, 568, 14311, 1336, 538, 519, 3552, 593, 519, 10195, 540, 744, 24660, 267, 31410, 328, 267, 918, 879, 320, 390, 375, 328, 267, 20703, 758, 2967, 267, 543, 11316, 390, 375, 328, 269, 634, 562, 2940, 267, 513, 22963, 979, 846, 602, 568, 849, 519, 16127, 1533, 6177, 267, 814, 16626, 547, 519, 1448, 602, 922, 4567, 729, 4957, 689, 13155, 547, 12219, 10732, 676, 519, 772, 2529, 269, 2060, 811, 982, 476, 2412, 7396, 13155, 543, 12219, 6177, 2249, 2429, 519, 7414, 11866, 267, 623, 9281, 310, 302, 267, 609, 4891, 267, 1568, 547, 18359, 13155, 543, 12219, 5017, 543, 741, 9249, 543, 8134, 538, 1931, 547, 2061, 2417, 2249, 14486, 269, 2060, 811, 982, 476, 2412, 7396, 13155, 543, 12219, 6177, 2249, 2429, 519, 7414, 11866, 267, 623, 9281, 310, 302, 267, 609, 4891, 267, 1568, 547, 18359, 13155, 543, 12219, 5017, 543, 741, 9249, 543, 8134, 538, 1931, 547, 2061, 2417, 2249, 14486, 269, 634, 1158, 781, 1034, 13155, 1216, 325, 25717, 630, 3027, 802, 267, 2520, 3150, 267, 543, 2220, 753, 264, 8437, 3239, 547, 23822, 634, 594, 30002, 4414, 5903, 540, 21784, 2989, 15661, 27786, 519, 5726, 4567, 540, 2030, 543, 3662, 2249, 269, 4653, 267, 609, 476, 273, 267, 4335, 5017, 538, 519, 3552, 267, 621, 568, 1869, 519, 15795, 2173, 739, 13155, 1216, 325, 25717, 2249, 538, 519, 1158, 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 ]
[ 0, 3848, 476, 1724, 281, 634, 26504, 540, 519, 4095, 30914, 12752, 1282, 6820, 11038, 9197, 2478, 692, 7072, 692, 1103, 519, 21987, 540, 519, 2518, 2883, 6433, 602, 12090, 538, 519, 2136, 2276, 538, 476, 1220, 279, 267, 621, 2968, 10423, 602, 519, 4095, 12948, 5823, 729, 5266, 796, 2675, 520, 1117, 3379, 547, 922, 5375, 13413, 269, 901, 3184, 6663, 547, 2263, 519, 2188, 7700, 547, 713, 6043, 267, 5373, 4296, 1063, 7811, 2035, 543, 4052, 3156, 1369, 519, 2796, 540, 27604, 6142, 543, 4244, 1981, 4483, 269, 3414, 513, 2565, 6514, 540, 519, 9342, 543, 12755, 540, 519, 4095, 12948, 2872, 267, 1053, 786, 2744, 4030, 883, 2500, 2994, 585, 19086, 4220, 2404, 609, 19979, 2344, 2175, 780, 4089, 476, 272, 281, 4197, 519, 6820, 11038, 19822, 630, 294, 15598, 2020, 2414, 10146, 519, 11108, 2773, 540, 519, 4095, 12948, 5823, 9624, 519, 717, 15598, 267, 1577, 721, 1101, 30603, 519, 3123, 543, 4539, 540, 713, 31341, 6681, 2680, 269, 2311, 922, 4295, 267, 519, 717, 15598, 6565, 4364, 689, 7050, 4598, 547, 20251, 1532, 17977, 19736, 13615, 547, 1977, 1016, 18905, 12029, 267, 4611, 538, 7372, 9271, 585, 2883, 5238, 5001, 269, 22749, 15527, 609, 1585, 3800, 971, 607, 32548, 8083, 267, 17003, 15004, 267, 543, 11050, 1574, 532, 3292, 547, 24644, 741, 9757, 11615, 269, 769, 4334, 267, 519, 4095, 12948, 2872, 17820, 7415, 6617, 1813, 547, 1896, 2189, 4162, 780, 4089, 476, 273, 281, 11790, 19928, 5024, 547, 853, 1464, 538, 519, 4095, 30914, 30359, 692, 320, 269, 16200, 9483, 12618, 692, 26212, 547, 519, 717, 15598, 267, 3127, 4810, 7347, 12654, 7269, 9141, 5097, 676, 6469, 4616, 543, 5092, 3747, 269, 9182, 267, 4095, 8492, 4324, 1540, 689, 2799, 23831, 2238, 267, 3056, 547, 4824, 20656, 543, 1151, 1597, 1097, 12753, 269, 5015, 267, 1164, 2804, 2208, 3928, 19658, 12905, 7963, 1425, 6005, 267, 7551, 4227, 1875, 12656, 14127, 7221, 630, 23259, 2026, 1040, 4841, 1058, 2015, 875, 4264, 2804, 1646, 666, 3565, 547, 2949, 2883, 6617, 950, 10442, 1761, 9541, 610, 12352, 780, 321, 269, 8899, 4347, 5435, 13158, 3930, 692, 288, 8037, 4183, 1114, 11868, 4095, 8492, 689, 1346, 538, 2919, 11615, 568, 519, 2539, 9949, 2557, 1851, 10210, 619, 269, 4980, 12147, 11251, 2418, 10771, 4278, 3424, 1465, 543, 929, 644, 550, 24228, 2853, 723, 8507, 538, 7864, 8320, 540, 10211, 9949, 338, 269, 1717, 267, 16929, 1590, 849, 13657, 1053, 827, 519, 11944, 540, 1007, 2591, 971, 607, 20387, 9746, 22440, 543, 8375, 715, 5183, 2157, 538, 1978, 9922, 899, 5989, 543, 1379, 269, 1306, 2104, 1870, 3401, 267, 1373, 3222, 540, 891, 9687, 6384, 786, 5512, 873, 547, 1118, 5483, 3664, 3823, 1981, 2359, 2994, 780, 322, 269, 12559, 775, 540, 13216, 11038, 15733, 692, 5194, 3815, 30343, 519, 6043, 540, 519, 4095, 12948, 2872, 568, 519, 3908, 946, 540, 10427, 2883, 7405, 971, 607, 32097, 1242, 7963, 13800, 630, 7374, 11675, 1070, 10697, 1532, 17977, 19736, 630, 5723, 306, 1070, 543, 824, 16755, 269, 1635, 9319, 1303, 836, 2211, 538, 6946, 3103, 540, 10562, 2883, 8852, 267, 4095, 8492, 521, 573, 652, 324, 5529, 1713, 23927, 547, 6757, 7221, 11342, 538, 5375, 6990, 269, 11048, 267, 22124, 543, 2883, 4648, 1590, 2611, 21713, 1996, 519, 1761, 4367, 540, 32630, 2883, 3889, 602, 1223, 28855, 1125, 6617, 538, 519, 1279, 2196, 780, 323, 269, 8617, 27800, 676, 6239, 7813, 692, 3682, 5562, 9431, 23388, 5129, 513, 2629, 1909, 538, 8497, 519, 1072, 540, 519, 4095, 12948, 5823, 1282, 519, 717, 15598, 269, 13495, 919, 13684, 676, 519, 15944, 7813, 540, 3127, 630, 305, 10292, 264, 3769, 22608, 3854, 6631, 2329, 4170, 267, 2566, 4255, 267, 543, 28880, 8155, 6322, 693, 6830, 4328, 3666, 9212, 1996, 5007, 28654, 269, 5047, 267, 7928, 4205, 1063, 681, 10292, 8387, 543, 1283, 26933, 540, 5010, 8492, 27838, 513, 10319, 1604, 20009, 547, 5466, 6932, 6937, 3927, 269, 5441, 1053, 13197, 11678, 538, 8804, 1131, 4324, 689, 4974, 3811, 3631, 540, 3844, 4871, 6304, 543, 7311, 4143, 4245, 547, 4207, 2152, 7133, 519, 2518, 4346, 780, 324, 269, 1160, 5562, 17797, 618, 540, 3933, 8767, 8889, 692, 11742, 569, 11941, 547, 1719, 3928, 267, 6666, 15395, 12753, 267, 543, 27152, 28880, 12753, 13087, 519, 681, 10292, 547, 2226, 1852, 936, 10637, 776, 12503, 1247, 4180, 7850, 28880, 1369, 519, 12948, 1062, 269, 1452, 7580, 7575, 29103, 1229, 6015, 1851, 9520, 267, 7263, 6002, 267, 543, 4213, 7567, 267, 2417, 32229, 519, 4095, 2883, 5823, 689, 8801, 5222, 32338, 908, 689, 13383, 269, 8892, 1870, 3401, 1590, 5431, 519, 2956, 540, 22537, 13075, 4507, 3358, 547, 1808, 12550, 11296, 5054, 547, 2327, 6940, 543, 15325, 780, 325, 269, 19171, 30914, 9177, 692, 7661, 267, 7184, 3824, 11712, 2686, 8155, 27774, 18762, 23831, 2853, 267, 18674, 998, 2123, 3347, 1063, 4871, 9946, 543, 10210, 619, 269, 901, 15982, 1702, 540, 7218, 262, 10080, 543, 23231, 618, 7207, 8309, 3648, 547, 4389, 9949, 17831, 543, 8476, 3972, 10290, 1465, 538, 519, 4095, 12948, 1062, 269, 2755, 2029, 949, 7519, 2757, 12331, 540, 2078, 2679, 267, 8508, 3059, 7004, 1510, 18731, 1898, 3344, 540, 6075, 25055, 3788, 4105, 585, 4797, 1967, 780, 4089, 476, 274, 281, 4347, 2400, 13979, 538, 15894, 2598, 321, 2720, 531, 5403, 4211, 5142, 529, 692, 8601, 29400, 4049, 29298, 1282, 519, 717, 15598, 267, 4095, 8492, 7550, 513, 811, 15061, 18879, 2509, 5491, 7006, 18730, 269, 901, 6521, 10630, 15398, 4656, 540, 29886, 16426, 538, 2518, 2883, 5121, 543, 6039, 607, 513, 17280, 1996, 1761, 2104, 15125, 5281, 269, 30543, 1904, 539, 585, 31749, 23831, 4441, 267, 2362, 1981, 14167, 338, 267, 543, 11826, 1813, 31806, 3157, 547, 16102, 2933, 1996, 608, 18100, 28654, 780, 6962, 692, 7437, 606, 538, 3829, 2079, 540, 519, 4095, 12948, 2872, 781, 3210, 547, 519, 717, 15598, 267, 713, 3184, 25139, 1883, 2188, 7175, 3448, 12046, 689, 7839, 30331, 10052, 269, 1635, 6313, 3584, 8151, 689, 3280, 12550, 11296, 17950, 547, 13857, 2686, 7506, 267, 1053, 6591, 3407, 4030, 883, 13167, 7347, 1981, 2359, 10850, 5827, 540, 29056, 14488, 269, 11086, 267, 10128, 1655, 2853, 6508, 689, 1312, 8109, 543, 5375, 4485, 3091, 513, 9621, 2619, 4464, 585, 10188, 7334, 2053, 538, 519, 1158, 540, 8804, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 281, 834, 763, 12948, 2872, 538, 3127, 4667, 547, 581, 19448, 26327, 689, 519, 2518, 2883, 16839, 799, 3323, 689, 772, 2529, 538, 519, 2063, 10116, 540, 476, 1220, 279, 269, 6736, 519, 2887, 719, 543, 3084, 1436, 540, 8492, 2066, 2919, 11615, 267, 8492, 538, 3127, 4667, 547, 581, 593, 519, 2178, 4909, 3490, 543, 4667, 547, 581, 1134, 1202, 4327, 689, 519, 2883, 31285, 6932, 689, 519, 7262, 11615, 269, 634, 4095, 12948, 2872, 568, 1134, 5116, 607, 5635, 547, 741, 12948, 6080, 7262, 13413, 799, 616, 4470, 2390, 2229, 32548, 719, 543, 17003, 15004, 269, 634, 2178, 2804, 2208, 538, 519, 2250, 267, 1970, 1219, 4954, 614, 5223, 267, 9000, 540, 1950, 2883, 2472, 267, 2834, 6304, 676, 3844, 4871, 267, 14942, 16369, 540, 13075, 3609, 543, 865, 1572, 2673, 12948, 2528, 814, 23163, 519, 12948, 2872, 538, 3127, 538, 2487, 2518, 2883, 24187, 269, 4014, 972, 786, 1100, 1764, 593, 519, 4095, 12948, 1062, 2147, 547, 602, 538, 7178, 855, 519, 8492, 538, 3127, 786, 9772, 585, 811, 540, 17872, 1935, 538, 5491, 771, 321, 2720, 531, 6231, 2237, 606, 3573, 543, 2143, 1576, 1770, 538, 513, 1837, 585, 2852, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 29642, 1299, 18598, 1315, 15928, 1315, 4937, 1315, 12650, 1161, 543, 20010, 11485, 18734, 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, 7170, 281, 29457, 7781, 10657, 281, 23046, 3414, 2423, 3600, 17815, 692, 5970, 596, 2479, 4862, 540, 22591, 286, 898, 779, 606, 3504, 4457, 2259, 1141, 6094, 19271, 616, 17332, 883, 1808, 2798, 540, 519, 1560, 547, 948, 3666, 1648, 2095, 543, 3895, 7067, 269, 4653, 267, 649, 3580, 2263, 513, 2027, 1826, 540, 22591, 1572, 28050, 7781, 3797, 1107, 849, 1634, 607, 1274, 22591, 2439, 5331, 713, 281, 6263, 19271, 5402, 5116, 3330, 707, 10772, 547, 8897, 6084, 3240, 13542, 610, 9350, 1524, 1346, 840, 23150, 795, 527, 1562, 269, 16319, 4277, 267, 1318, 286, 2334, 779, 4010, 875, 28050, 7781, 3797, 1568, 256, 1635, 18398, 1978, 2798, 593, 519, 9018, 1274, 267, 3782, 9439, 666, 1521, 1585, 2168, 543, 3929, 2152, 2429, 519, 3003, 1560, 269, 2913, 779, 1265, 856, 811, 827, 713, 4241, 4480, 780, 1262, 1692, 6496, 29457, 7781, 10657, 4518, 15140, 5978, 4703, 723, 936, 476, 1220, 1035, 1575, 2002, 338, 593, 519, 5007, 1274, 267, 1142, 4448, 547, 1114, 8219, 543, 1949, 1369, 721, 269, 1452, 2798, 1106, 513, 2890, 17882, 602, 9356, 938, 2949, 1072, 1175, 899, 513, 4786, 269, 29918, 1637, 540, 891, 2798, 1210, 1507, 19271, 267, 5452, 267, 610, 5122, 3457, 2337, 10038, 1648, 2095, 267, 5305, 2067, 1928, 26973, 619, 267, 543, 2087, 15629, 3252, 780, 2690, 1383, 267, 952, 596, 1995, 31264, 267, 606, 28050, 7781, 13309, 949, 1747, 513, 13549, 610, 6079, 693, 519, 1448, 5532, 547, 707, 2212, 593, 707, 1274, 269, 901, 9543, 2604, 15920, 6835, 2059, 8229, 11444, 547, 707, 2634, 267, 8716, 621, 547, 3132, 1745, 3766, 797, 6464, 1572, 1439, 6973, 1231, 799, 2569, 1928, 543, 8082, 780, 1262, 30812, 1431, 7066, 730, 676, 29457, 7781, 10657, 4373, 5804, 5634, 9485, 325, 2176, 547, 5312, 10108, 267, 28050, 7781, 3797, 814, 1044, 1336, 5363, 585, 1082, 4145, 269, 2368, 1455, 3283, 1331, 1384, 272, 269, 2608, 29590, 543, 17520, 17041, 2836, 2719, 519, 2247, 543, 5009, 11005, 563, 273, 269, 2608, 14707, 24304, 12983, 17041, 1924, 5847, 13347, 7181, 338, 267, 4227, 26533, 267, 543, 5355, 14031, 563, 274, 269, 2608, 28036, 10819, 17041, 18964, 1732, 3207, 3270, 543, 5466, 20026, 563, 275, 269, 2608, 11754, 2109, 18401, 17041, 25417, 6051, 689, 6219, 6057, 267, 1519, 15522, 543, 4568, 8213, 563, 276, 269, 2608, 26574, 5004, 17041, 21344, 10307, 543, 1225, 6883, 26351, 563, 277, 269, 2608, 303, 664, 28057, 17041, 1325, 4582, 11868, 30273, 1928, 267, 18492, 25574, 267, 543, 824, 2010, 540, 9636, 780, 16605, 538, 2247, 602, 1247, 28050, 7781, 3797, 3091, 3875, 2640, 267, 621, 3085, 1405, 5372, 2757, 2564, 1416, 269, 11408, 5077, 609, 513, 4387, 1354, 4358, 1022, 1007, 2126, 780, 1262, 1432, 19732, 839, 4438, 589, 29140, 15140, 2304, 28050, 7781, 3797, 8400, 3335, 16569, 1472, 476, 1789, 3764, 269, 2991, 7234, 707, 2115, 543, 3853, 267, 519, 19995, 786, 4983, 707, 10772, 543, 2824, 3617, 2798, 269, 3973, 267, 789, 3513, 7696, 25062, 19271, 610, 4019, 7646, 5122, 1699, 610, 5452, 4371, 538, 1747, 609, 23287, 11746, 269, 1411, 1522, 1745, 513, 13581, 533, 4459, 610, 32688, 14815, 855, 12582, 1405, 1995, 1713, 1928, 780, 5629, 6192, 267, 519, 19271, 2356, 2611, 538, 1747, 585, 1896, 2395, 267, 3850, 4797, 14242, 269, 2311, 1753, 267, 596, 666, 9900, 2046, 593, 519, 5452, 547, 3986, 741, 2360, 269, 13038, 7886, 22274, 2673, 1927, 1419, 6556, 6099, 2164, 780, 1262, 3674, 898, 15822, 1280, 2725, 15140, 8133, 267, 950, 5340, 7157, 676, 8036, 4648, 267, 28050, 7781, 3797, 13514, 8766, 4220, 585, 1034, 1004, 269, 1717, 267, 1978, 3871, 1289, 585, 13657, 267, 971, 607, 6379, 267, 11702, 4713, 267, 610, 2348, 5907, 18032, 2282, 519, 5701, 1858, 269, 2142, 2386, 547, 2671, 2347, 1072, 1344, 609, 707, 19995, 865, 789, 666, 21160, 2922, 5574, 585, 596, 780, 1262, 310, 1905, 5455, 4373, 3086, 596, 917, 782, 827, 28050, 7781, 3797, 1107, 519, 2189, 1505, 540, 7067, 998, 1274, 22591, 269, 2060, 922, 1761, 547, 2232, 3309, 1072, 4145, 267, 6148, 596, 3513, 2015, 4758, 621, 513, 2119, 14693, 256, 3807, 3314, 267, 2141, 3343, 5583, 689, 11727, 9439, 543, 9192, 14911, 11257, 609, 13416, 4915, 950, 2877, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 10907 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 1284, 723, 547, 1413, 1310, 6000, 607, 1134, 607, 1866, 267, 543, 519, 1655, 1259, 547, 798, 602, 568, 952, 649, 616, 2921, 3268, 547, 1491, 1416, 540, 938, 1378, 2790, 8171, 267, 543, 2057, 25794, 269, 1411, 666, 1406, 13248, 689, 606, 8900, 7484, 563, 17843, 5574, 960, 585, 1114, 1004, 454, 9617, 899, 2713, 609, 594, 9720, 267, 950, 621, 2501, 547, 2790, 1072, 267, 1114, 5574, 960, 585, 1114, 1004, 269, 3143, 835, 1058, 1745, 24565, 585, 5275, 2790, 1072, 1489, 563, 12709, 1582, 13282, 2853, 971, 607, 11009, 267, 9066, 267, 10649, 267, 30998, 267, 543, 2470, 666, 960, 543, 1683, 5458, 2640, 585, 1082, 563, 15919, 649, 991, 930, 5007, 948, 1498, 269, 1403, 5574, 971, 607, 5646, 18522, 267, 5042, 8965, 3797, 630, 30274, 1070, 6646, 267, 3834, 2254, 515, 2805, 267, 610, 1022, 824, 1106, 540, 2790, 1072, 1489, 960, 585, 596, 267, 1287, 602, 568, 5386, 1932, 563, 307, 16464, 25273, 4991, 596, 24076, 454, 2005, 779, 7543, 547, 723, 513, 2318, 14820, 782, 519, 942, 269, 1284, 1995, 782, 5686, 540, 4664, 602, 616, 4625, 2067, 607, 3425, 269, 1403, 596, 2461, 4743, 14129, 267, 14221, 267, 8909, 267, 21616, 267, 1022, 540, 891, 1919, 799, 616, 16363, 811, 2942, 4606, 267, 6031, 2048, 3832, 518, 909, 685, 610, 2048, 2041, 2318, 685, 4465, 1406, 4194, 4376, 267, 9444, 786, 24937, 707, 4606, 269, 901, 568, 1945, 594, 4076, 1185, 547, 960, 593, 609, 1250, 5646, 8688, 528, 267, 543, 1451, 602, 621, 779, 21453, 547, 1995, 782, 5686, 540, 4664, 267, 1317, 9319, 873, 543, 15603, 873, 1628, 909, 4465, 1406, 2087, 519, 3510, 563, 24965, 576, 16663, 543, 20887, 454, 26045, 1072, 2069, 2115, 6454, 267, 1312, 538, 3506, 543, 538, 1753, 269, 17607, 540, 1114, 3029, 540, 2790, 4576, 267, 875, 547, 5544, 519, 4191, 543, 1416, 585, 1004, 2469, 998, 2790, 1072, 12959, 782, 991, 547, 581, 4824, 547, 948, 2569, 519, 16663, 1472, 2790, 1072, 269, 2859, 1930, 5717, 991, 547, 581, 1185, 547, 948, 1004, 945, 949, 581, 4466, 621, 2182, 547, 2911, 827, 741, 2790, 1072, 563, 2467, 616, 849, 1082, 20887, 543, 3765, 24483, 4478, 2790, 1072, 267, 799, 1223, 1291, 547, 6031, 519, 4636, 3364, 547, 2576, 543, 3257, 811, 2800, 1287, 1434, 563, 2304, 3806, 568, 711, 1175, 20468, 827, 1945, 563, 12831, 1833, 568, 711, 1175, 4743, 513, 3787, 8909, 563, 302, 7374, 568, 711, 1175, 6010, 532, 1919, 547, 581, 22619, 344, 563, 2252, 596, 2461, 18516, 827, 1018, 513, 2790, 1072, 2783, 3322, 267, 1491, 519, 942, 547, 1217, 3054, 610, 1413, 693, 2200, 676, 2790, 1072, 1347, 885, 971, 607, 9650, 543, 10076, 2657, 7690, 563, 24591, 585, 2663, 1107, 476, 276, 12830, 12085, 547, 5457, 827, 10076, 2657, 454, 2252, 596, 1185, 513, 4960, 547, 2995, 519, 1158, 1945, 827, 2790, 1072, 547, 6318, 4656, 267, 1018, 1131, 621, 581, 286, 0, 13563, 6178, 5678, 630, 3008, 299, 264, 6044, 568, 3769, 609, 782, 540, 938, 840, 29292, 7124, 5049, 693, 27211, 781, 25424, 781, 18206, 269, 1284, 946, 7317, 3756, 267, 2238, 267, 2835, 543, 2575, 547, 3986, 707, 1126, 781, 1565, 1995, 269, 634, 6437, 979, 553, 1134, 3564, 4778, 543, 2831, 547, 1331, 4191, 1644, 547, 281, 1455, 7215, 267, 4606, 267, 1920, 267, 1426, 267, 2146, 267, 1153, 267, 1753, 267, 942, 267, 10203, 267, 2395, 540, 519, 3018, 267, 12405, 267, 2238, 4882, 7964, 267, 15055, 270, 4134, 331, 10105, 267, 14812, 267, 543, 811, 2336, 2691, 1453, 616, 6026, 2296, 543, 6789, 299, 1927, 789, 616, 4393, 1893, 1210, 1312, 5011, 540, 741, 12058, 269, 1358, 1184, 11913, 4992, 593, 519, 2451, 2427, 540, 519, 2634, 543, 6789, 299, 607, 5961, 543, 2592, 593, 519, 1318, 2427, 540, 519, 2634, 267, 4758, 873, 1079, 4025, 547, 11291, 1893, 689, 563, 10932, 2982, 602, 1210, 1129, 1893, 538, 606, 2038, 6689, 2148, 520, 1097, 1982, 4679, 6863, 267, 10607, 4484, 543, 2262, 6284, 267, 2337, 1762, 1453, 1445, 593, 1565, 267, 543, 10597, 2792, 1063, 1453, 267, 3237, 543, 3610, 15301, 19968, 10432, 6732, 264, 0, 15933, 14711, 568, 513, 5114, 538, 799, 938, 1560, 6544, 1161, 513, 6219, 267, 2356, 513, 3940, 267, 607, 5739, 267, 799, 649, 1289, 606, 6784, 523, 267, 799, 568, 711, 563, 23086, 12153, 606, 27105, 4761, 3210, 602, 666, 8915, 538, 1585, 8219, 540, 519, 1560, 563, 15933, 14711, 568, 3622, 16384, 292, 24975, 543, 568, 6353, 676, 513, 4028, 12614, 602, 666, 581, 3764, 547, 606, 5662, 1310, 3824, 20535, 519, 6784, 523, 267, 2687, 547, 519, 2622, 30665, 9257, 630, 23354, 302, 1916, 15933, 22166, 568, 606, 9402, 3210, 540, 519, 1560, 547, 519, 6981, 540, 1426, 610, 922, 3334, 538, 7363, 7109, 730, 13066, 563, 1103, 1277, 8533, 22166, 267, 519, 19469, 2179, 540, 1277, 8533, 28041, 4249, 513, 1883, 1909, 563, 268, 972, 568, 513, 16607, 12614, 540, 2589, 454, 268, 519, 31916, 5123, 568, 12675, 454, 268, 519, 16384, 292, 1583, 1108, 568, 2942, 454, 2005, 568, 513, 27690, 1184, 538, 799, 267, 1813, 547, 519, 19018, 1063, 519, 6981, 540, 1277, 8533, 543, 519, 1560, 779, 2702, 547, 9004, 621, 267, 972, 568, 606, 7050, 13250, 540, 1277, 8533, 543, 519, 1646, 540, 2589, 3361, 676, 922, 11006, 547, 519, 7222, 13364, 630, 295, 272, 267, 670, 273, 267, 670, 274, 610, 670, 275, 1916, 1103, 1277, 8533, 883, 343, 1709, 267, 519, 1973, 2119, 696, 848, 568, 1369, 12214, 2418, 269, 12580, 2408, 476, 736, 268, 1789, 1295, 1310, 28453, 543, 949, 581, 1459, 585, 513, 1906, 3108, 610, 513, 1554, 563, 763, 2589, 602, 1277, 8533, 15464, 7472, 616, 2356, 912, 268, 11576, 566, 540, 21422, 543, 5924, 8781, 593, 519, 11469, 563, 268, 4414, 1145, 543, 11926, 540, 519, 3068, 543, 8405, 563, 268, 10361, 5995, 543, 21994, 563, 268, 2806, 12645, 1928, 267, 15353, 267, 13481, 543, 11591, 21539, 320, 563, 23744, 267, 789, 616, 7646, 2589, 602, 14897, 1369, 513, 1906, 3108, 540, 4358, 563, 8005, 8311, 3278, 1277, 8533, 286, 21096, 302, 543, 670, 301, 21587, 11476, 454, 268, 21096, 302, 630, 291, 3554, 710, 12444, 848, 994, 2005, 568, 1336, 5631, 538, 519, 1507, 16892, 267, 519, 26799, 3935, 267, 519, 30302, 267, 543, 519, 14401, 563, 1103, 519, 16892, 267, 21096, 302, 2534, 4679, 24482, 689, 519, 5918, 31829, 636, 547, 519, 476, 850, 636, 543, 568, 5631, 4092, 538, 519, 15499, 5636, 328, 563, 268, 670, 301, 21587, 630, 9303, 8533, 715, 2173, 14007, 10520, 2536, 848, 994, 2005, 568, 5631, 6829, 538, 519, 14401, 267, 6797, 267, 838, 22220, 267, 3935, 267, 17150, 267, 30124, 267, 11983, 10260, 543, 7929, 8778, 563, 14976, 3467, 21398, 267, 1696, 620, 269, 630, 1220, 273, 5148, 3794, 644, 990, 659, 345, 661, 1421, 1696, 620, 269, 630, 1001, 279, 5148, 661, 3149, 22519, 753, 645, 1421, 1696, 620, 269, 630, 1960, 280, 5148, 6301, 1206, 700, 269, 630, 1220, 278, 1916, 291, 18341, 566, 540, 1277, 8533, 538, 519, 16892, 454, 298, 990, 659, 13960, 6953, 534, 23677, 13960, 269, 1696, 620, 269, 630, 1001, 276, 994, 288, 264, 13245, 1268, 454, 2467, 568, 513, 3339, 5834, 540, 1277, 8533, 538, 1426, 269, 4107, 540, 519, 1277, 8533, 568, 30737, 17300, 676, 519, 21096, 302, 543, 670, 301, 21587, 11476, 538, 519, 16892, 543, 1152, 513, 1507, 2179, 540, 1277, 8533, 10596, 883, 519, 18072, 543, 1281, 711, 2014, 2589, 563, 289, 264, 2876, 8533, 15464, 538, 513, 2635, 1268, 454, 4504, 820, 540, 3536, 609, 1164, 1277, 8533, 1543, 630, 3467, 982, 476, 4335, 16936, 21515, 1040, 634, 679, 9195, 1738, 2534, 540, 21096, 302, 543, 670, 301, 21587, 568, 3339, 267, 855, 621, 568, 13385, 547, 30737, 10675, 606, 7050, 2179, 540, 1277, 8533, 267, 799, 10596, 883, 519, 18072, 543, 3123, 2589, 563, 9303, 8533, 666, 581, 6383, 538, 930, 3536, 267, 2523, 538, 1978, 3165, 602, 723, 1164, 9830, 540, 1277, 26593, 267, 799, 568, 513, 6219, 602, 3029, 851, 540, 741, 3339, 5888, 269, 1879, 519, 3165, 10523, 267, 519, 1277, 26593, 568, 10736, 883, 1277, 8533, 676, 519, 2962, 540, 930, 14471, 563, 9303, 8533, 5250, 538, 1426, 5673, 593, 1585, 2188, 971, 607, 912, 268, 634, 2175, 540, 2837, 543, 9063, 630, 14683, 2837, 543, 1970, 9063, 1916, 268, 634, 1543, 540, 1277, 26593, 267, 799, 568, 519, 24888, 540, 1277, 8533, 563, 268, 634, 4527, 540, 679, 9195, 1738, 6878, 3812, 676, 4551, 267, 799, 616, 5827, 540, 13321, 1277, 26593, 883, 1277, 8533, 563, 268, 1133, 1506, 8162, 545, 1426, 7829, 563, 21132, 5250, 568, 5631, 1644, 547, 513, 3668, 540, 9882, 950, 7829, 1426, 269, 5131, 4506, 610, 12104, 3130, 2630, 476, 275, 23263, 290, 24024, 922, 5250, 563, 4913, 267, 2899, 1277, 8533, 568, 6383, 538, 1426, 267, 621, 3112, 581, 17515, 267, 2094, 621, 568, 513, 6219, 602, 568, 11259, 547, 8143, 3157, 971, 607, 5986, 267, 13594, 584, 1436, 267, 543, 5924, 10322, 16478, 267, 543, 568, 849, 11259, 547, 12104, 3130, 543, 16171, 563, 9303, 8533, 568, 3812, 1657, 782, 538, 3165, 2404, 609, 513, 1164, 1277, 26593, 1543, 971, 607, 27966, 267, 5672, 651, 7758, 267, 13755, 17010, 267, 521, 731, 1149, 610, 12979, 990, 625, 563, 9303, 8533, 666, 849, 581, 4646, 538, 25496, 543, 5924, 9921, 323, 2472, 971, 607, 10381, 267, 9174, 267, 610, 14420, 267, 1851, 1866, 267, 855, 15464, 689, 891, 3536, 568, 1447, 1455, 982, 602, 3812, 676, 1978, 3165, 563, 1432, 666, 649, 798, 607, 6800, 888, 12648, 15416, 547, 2057, 1277, 8533, 15464, 267, 2523, 950, 9140, 3165, 912, 268, 24367, 519, 4411, 5832, 689, 519, 6718, 547, 519, 12625, 1753, 269, 898, 568, 5227, 547, 946, 568, 18540, 11435, 547, 4558, 519, 3165, 1282, 519, 3460, 563, 268, 1879, 596, 1205, 1753, 267, 12104, 4733, 610, 19068, 519, 3165, 5612, 563, 268, 898, 1058, 581, 6854, 538, 519, 26806, 693, 513, 2837, 2630, 476, 275, 23263, 290, 2394, 621, 568, 10057, 563, 268, 1684, 711, 555, 1177, 3165, 693, 4055, 2837, 563, 268, 19321, 1434, 9882, 538, 519, 10051, 543, 9772, 519, 4356, 540, 11067, 3946, 1354, 7829, 1426, 543, 946, 2973, 543, 645, 5183, 6954, 27022, 563, 290, 264, 12287, 609, 606, 22166, 547, 1277, 8533, 563, 763, 679, 9195, 1738, 2534, 540, 519, 21096, 302, 543, 670, 301, 21587, 11476, 538, 519, 16892, 568, 8519, 610, 7409, 1243, 543, 568, 13385, 547, 30737, 10675, 1277, 8533, 267, 621, 10596, 883, 519, 18072, 543, 3123, 2589, 563, 15152, 3339, 6381, 267, 21096, 302, 568, 9658, 1540, 538, 519, 16892, 543, 14014, 721, 689, 519, 556, 25388, 1632, 540, 1277, 8533, 883, 519, 18072, 267, 1312, 689, 1277, 8533, 1459, 538, 28041, 1426, 543, 689, 1277, 8533, 6383, 676, 15499, 4551, 563, 13828, 21096, 302, 543, 670, 301, 21587, 11476, 616, 1459, 538, 15499, 13423, 26375, 563, 763, 1292, 11064, 547, 1277, 8533, 10338, 883, 519, 18072, 568, 21096, 302, 630, 295, 301, 21587, 4249, 513, 5634, 1909, 538, 713, 1184, 1916, 11997, 267, 519, 21455, 540, 18904, 7838, 6395, 302, 568, 3730, 543, 2500, 538, 1004, 609, 22166, 547, 1277, 8533, 1247, 8156, 519, 16892, 563, 1607, 476, 1911, 260, 10448, 543, 14468, 1587, 568, 2139, 5001, 998, 922, 3059, 6455, 9055, 269, 1411, 666, 3605, 811, 593, 713, 3896, 610, 593, 715, 4405, 6767, 334, 8835, 5177, 543, 715, 4405, 6767, 334, 8835, 7330, 563, 24357, 19708, 1905, 626, 543, 5403, 12392, 538, 623, 301, 23966, 0, 3707, 272, 3493, 677, 725, 3816, 14801, 454, 3080, 540, 519, 2582, 1034, 12556, 995, 2395, 538, 6480, 20897, 1686, 786, 581, 16033, 730, 2066, 519, 2197, 2221, 563, 4002, 4873, 476, 1691, 267, 476, 3707, 272, 267, 8168, 13567, 4229, 1244, 9285, 936, 476, 1015, 267, 1822, 1004, 547, 27584, 4997, 538, 519, 1101, 5951, 540, 1896, 2047, 13389, 519, 19742, 2551, 563, 300, 655, 3645, 2621, 786, 581, 4371, 676, 519, 27692, 18533, 538, 30460, 4883, 267, 13984, 676, 5518, 1677, 5557, 26673, 20891, 19129, 1407, 910, 945, 786, 3717, 693, 476, 1428, 281, 876, 910, 631, 11679, 267, 22277, 26110, 543, 4914, 17009, 1846, 563, 299, 9801, 534, 5783, 2895, 29989, 1656, 637, 623, 383, 369, 1457, 786, 1291, 513, 11755, 267, 799, 786, 581, 4553, 676, 606, 2232, 676, 5449, 4744 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2786, 1524, 269, 3767, 513, 2034, 3815, 2501, 883, 1404, 281, 10338, 269, 634, 5790, 2965, 25309, 930, 1769, 30335, 267, 1025, 31857, 873, 856, 4625, 269, 1656, 519, 1769, 621, 25309, 1034, 568, 4544, 543, 3039, 1769, 2443, 519, 2110, 6329, 269, 634, 1279, 7552, 2427, 1811, 689, 513, 3141, 2282, 519, 16880, 12086, 856, 1034, 540, 891, 15437, 269, 4414, 1769, 568, 22502, 1472, 519, 6607, 543, 10825, 922, 7990, 267, 29285, 267, 543, 676, 10543, 621, 1100, 3476, 814, 513, 2603, 540, 4544, 1769, 936, 12741, 532, 621, 269, 834, 3383, 676, 519, 942, 621, 630, 1492, 3141, 264, 5036, 267, 519, 4544, 1769, 814, 7168, 1454, 1044, 12842, 543, 649, 2811, 1175, 2451, 609, 519, 2699, 1769, 267, 543, 649, 2811, 2451, 609, 713, 26070, 512, 16636, 2437, 670, 12177, 1767, 269, 28545, 5536, 538, 519, 5790, 267, 14107, 543, 865, 582, 344, 5536, 689, 4104, 11642, 610, 1256, 22747, 786, 1689, 519, 7990, 540, 513, 23863, 269, 1452, 1118, 621, 811, 2699, 267, 670, 12177, 1767, 269, 2334, 781, 1317, 891, 616, 5266, 1804, 5536, 630, 4818, 1563, 547, 6675, 540, 9436, 543, 5135, 1070, 543, 4061, 789, 616, 1732, 2111, 547, 14649, 519, 1279, 6329, 540, 2699, 543, 10538, 1769, 269, 634, 1267, 568, 602, 1804, 11642, 1256, 1082, 7366, 540, 21240, 2476, 666, 6494, 2614, 8673, 1524, 13388, 547, 1689, 519, 7990, 540, 519, 6607, 267, 1256, 950, 519, 8673, 3294, 568, 711, 7298, 269, 9966, 7190, 666, 849, 1039, 513, 26070, 267, 688, 5414, 1413, 267, 646, 1767, 269, 670, 12177, 814, 1256, 2938, 513, 3039, 23863, 267, 849, 1634, 607, 513, 3039, 8755, 269, 898, 4523, 6140, 2282, 519, 18635, 267, 646, 1767, 269, 2060, 519, 3141, 1019, 6137, 547, 519, 16880, 267, 834, 1492, 1769, 786, 2965, 18846, 607, 621, 10596, 998, 519, 5790, 269, 898, 781, 1572, 1201, 3555, 269, 834, 2791, 666, 723, 14026, 1141, 621, 4990, 540, 536, 1742, 519, 2699, 1769, 856, 540, 519, 1259, 543, 519, 4544, 1769, 568, 8185, 12842, 267, 543, 596, 616, 2451, 609, 513, 3141, 602, 2965, 5654, 3039, 269, 834, 2005, 781, 2186, 540, 20036, 269, 2791, 666, 2161, 267, 19850, 267, 594, 4312, 2938, 513, 3039, 3141, 1701, 670, 12177, 729, 32366, 539, 607, 513, 29533, 540, 519, 9576, 5980, 540, 4516, 538, 476, 1001, 275, 538, 6284, 540, 1010, 960, 269, 18078, 17106, 11333, 3820, 1000, 7867, 2593, 20081, 558, 11854, 1513, 272, 454, 333, 1638, 476, 6734, 4864, 476, 1001, 277, 476, 866, 281, 866, 281, 876, 454, 4962, 2904, 476, 1001, 277, 476, 876, 281, 6860, 281, 5400, 3244, 1723, 324, 6019, 268, 21158, 630, 5228, 5291, 2517, 337, 1087, 269, 5471, 1503, 663, 2593, 994, 288, 676, 7308, 5991, 13246, 1413, 693, 519, 1297, 543, 2450, 540, 4104, 11642, 538, 4516, 454, 333, 1638, 476, 4962, 2904, 476, 1001, 277, 476, 876, 281, 6860, 281, 5400, 454, 4962, 2904, 476, 1001, 277, 476, 876, 281, 4905, 281, 7918, 16199, 2023, 268, 21158, 630, 5228, 5291, 2517, 337, 1087, 269, 5471, 1503, 663, 2593, 994, 2704, 6975, 753, 10950, 519, 19774, 607, 26425, 4516, 543, 14271, 13062, 8775, 2709, 2230, 538, 741, 7187, 22598, 13122, 585, 17355, 826, 525, 7904, 4370, 519, 30481, 602, 5170, 547, 6633, 998, 10783, 5062, 300, 584, 2001, 454, 333, 1638, 476, 4962, 2904, 476, 1001, 277, 476, 876, 281, 4905, 281, 7918, 454, 6860, 2904, 476, 1001, 277, 476, 2641, 281, 6078, 281, 7918, 645, 1090, 17980, 268, 21158, 630, 5228, 5291, 2517, 337, 1087, 269, 5471, 1503, 663, 2593, 994, 24109, 753, 2014, 5354, 540, 23967, 538, 4516, 281, 10196, 454, 333, 1638, 476, 6860, 2904, 476, 1001, 277, 476, 2641, 281, 6078, 281, 7918, 454, 866, 4989, 476, 1001, 277, 476, 876, 281, 1839, 281, 4366, 31747, 18299, 523, 910, 5240, 454, 763, 14743, 3323, 547, 2490, 585, 11412, 325, 4319, 1612, 3139, 545, 8783, 7812, 715, 565, 534, 538, 5988, 476, 1001, 273, 1310, 835, 540, 1010, 1212, 9749, 5280, 15063, 513, 6777, 332, 984, 8814, 4171, 3684, 1185, 1835, 14414, 998, 519, 4672, 593, 2836, 629, 690, 773, 8235, 269, 3474, 3139, 545, 17659, 8055, 2663, 4465, 513, 17135, 4937, 781, 13815, 585, 22838, 585, 1010, 1909, 538, 519, 10565, 15063, 267, 1210, 513, 666, 4141, 543, 1010, 3946, 585, 533, 5417, 956, 547, 1205, 547, 519, 18843, 539, 812, 804, 15781, 547, 513, 12933, 540, 4672, 269, 1809, 715, 565, 534, 2219, 972, 1185, 547, 581, 513, 1732, 1259, 585, 1612, 3139, 923, 547, 4688, 2729, 2443, 543, 2724, 2443, 538, 513, 16278, 602, 21018, 922, 2200, 936, 476, 1015, 267, 1822, 4009, 21240, 689, 4639, 2961, 13987, 547, 2282, 20917, 11867, 267, 543, 8757, 883, 7178, 20563, 543, 1325, 12455, 23936, 5244, 269, 834, 1432, 952, 621, 1185, 1044, 2009, 547, 917, 811, 827, 519, 3510, 593, 2836, 629, 690, 773, 8235, 8119, 715, 565, 534, 4280, 5128, 269, 834, 7775, 952, 972, 729, 513, 2029, 602, 1223, 267, 2161, 267, 5838, 513, 18052, 547, 519, 26525, 812, 16304, 593, 547, 602, 530, 29195, 540, 4672, 8119, 17652, 1310, 267, 715, 565, 534, 4121, 602, 835, 540, 1010, 1612, 3139, 923, 267, 6276, 5295, 267, 1185, 4108, 1995, 609, 19025, 267, 849, 1572, 834, 684, 2006, 2740, 19666, 6472, 2437, 610, 772, 16787, 338, 269, 1656, 519, 24039, 602, 941, 7432, 538, 715, 565, 534, 781, 2212, 4945, 539, 883, 1747, 269, 634, 2702, 547, 2708, 513, 3510, 689, 519, 2011, 1131, 948, 1101, 4431, 619, 2626, 7125, 811, 7561, 543, 9108, 269, 634, 2592, 543, 3381, 849, 1683, 513, 2594, 585, 2298, 22059, 543, 2866, 269, 589, 20473, 3091, 513, 834, 3832, 520, 6656, 257, 585, 1101, 4431, 619, 267, 3081, 715, 565, 534, 269, 834, 2005, 14439, 519, 2693, 7063, 269, 898, 13071, 596, 5965, 585, 513, 3510, 602, 6382, 1131, 581, 538, 519, 4090, 1701, 634, 1612, 3139, 545, 3028, 781, 1101, 20473, 729, 513, 15908, 626, 2203, 269, 898, 4166, 2968, 6654, 5295, 2877, 835, 602, 1223, 8038, 3476, 267, 723, 3606, 27589, 543, 513, 811, 10427, 5665, 1062, 607, 1134, 607, 3152, 4656, 540, 519, 2011, 11898, 269, 1261, 814, 2094, 18175, 24612, 547, 19025, 9168, 2523, 585, 519, 1612, 3139, 923, 676, 645, 5861, 9538, 338, 769, 291, 549, 29790, 543, 2029, 689, 31747, 781, 15158, 338, 6199, 2983, 2214, 7652, 602, 2636, 519, 20473, 11346, 547, 581, 3222, 540, 824, 3615, 1472, 621, 547, 2061, 21611, 538, 519, 2011, 11898, 269, 667, 14772, 666, 581, 20834, 1242, 1454, 5488, 543, 1447, 1163, 13208, 982, 8484, 267, 543, 666, 1205, 1454, 6251, 267, 3081, 5295, 269, 17318, 616, 1869, 1210, 1269, 1911, 267, 1822, 12514, 15841, 593, 8484, 547, 1491, 5961, 540, 6760, 10207, 269, 2334, 781, 711, 519, 1034, 2500, 946, 540, 2200, 267, 646, 3081, 269, 634, 20473, 729, 1031, 585, 19666, 13178, 950, 744, 13048, 941, 10115, 519, 6429, 540, 513, 4630, 8336, 538, 674, 1195, 25236, 2063, 5181, 269, 634, 11412, 325, 4319, 1612, 3139, 545, 20473, 814, 1044, 1031, 585, 13178, 2443, 519, 744, 13048, 2034, 539, 621, 547, 1205, 513, 6177, 781, 31378, 2070, 540, 513, 4630, 8336, 6429, 538, 674, 1195, 25236, 607, 1101, 4431, 619, 4553, 519, 2619, 540, 513, 20740, 945, 3576, 519, 2729, 540, 1614, 2021, 2063, 5181, 269, 1924, 1454, 827, 519, 6429, 729, 7164, 269, 12984, 519, 11439, 11371, 31335, 1869, 538, 519, 2777, 286, 7316, 941, 519, 608, 1080, 4092, 286, 7316, 729, 519, 6408, 781, 476, 736, 4458, 6040, 5067, 286, 634, 20473, 729, 849, 1031, 1282, 513, 4104, 3595, 2282, 661, 1146, 6807, 2063, 5614, 267, 4543, 547, 2697, 3905, 9634, 269, 634, 7399, 616, 11995, 2443, 596, 666, 1256, 2322, 513, 6046, 5982, 18785, 593, 513, 20473, 267, 3081, 715, 565, 534, 269, 7831, 3923, 267, 519, 20473, 13761, 856, 519, 2182, 2389, 271, 14092, 947, 6429, 540, 513, 26949, 728, 602, 1951, 13949, 1896, 25614, 540, 700, 20364, 10036, 543, 18913, 4054, 883, 519, 12844, 31037, 1877, 5211, 267, 2870, 513, 2067, 2481, 269, 10738, 513, 1906, 3764, 267, 519, 20473, 4857, 519, 4087, 543, 519, 6708, 540, 519, 3441, 269, 634, 26949, 728, 568, 513, 6305, 1383, 540, 513, 3510, 1141, 519, 20473, 9863, 922, 1871, 267, 1767, 8834, 2506, 517, 267, 20758, 523, 540, 11412, 325, 4319, 6019, 543, 519, 556, 324, 557, 540, 519, 4884, 540, 11412, 325, 4319, 269, 834, 296, 1589, 1169, 6917, 29109, 1058, 723, 835, 269, 898, 3947, 596, 513, 642, 656, 720, 1448, 596, 9327, 1405, 2356, 1205, 1701, 1809, 519, 20473, 1590, 581, 1031, 1369, 9086, 602, 1754, 985, 1612, 3139, 923, 267, 1519, 2463, 585, 7834, 267, 607, 1134, 607, 13255, 4516, 781, 9431, 5943, 602, 3081, 19025, 666, 1152, 581, 1031, 1369, 519, 11346, 781, 3308, 2039, 269, 634, 1612, 3139, 923, 723, 4294, 585, 23614, 687, 689, 13255, 4516, 602, 1131, 1450, 873, 547, 8038, 519, 20473, 1022, 942, 610, 9170, 896, 3617, 2175, 269, 11412, 325, 4319, 781, 1612, 3139, 545, 3028, 568, 519, 1101, 6595, 3028, 538, 4516, 547, 3048, 622, 543, 960, 29050, 609, 13255, 4516, 269, 715, 565, 534, 814, 9275, 827, 519, 11036, 607, 2484, 2476, 607, 11894, 267, 543, 786, 2951, 547, 10228, 538, 4789, 2663, 713, 5614, 269, 17652, 267, 715, 565, 534, 13922, 602, 513, 20473, 666, 581, 1031, 547, 5838, 1272, 22766, 6527, 543, 3457, 971, 607, 606, 661, 7032, 303, 523, 585, 2576, 538, 606, 20942, 12519, 8710, 269, 27491, 585, 1210, 519, 3926, 1223, 581, 3177, 936, 513, 1591, 7483, 269, 834, 10144, 616, 4358, 547, 1589, 540, 772, 16787, 338, 607, 711, 1175, 2257, 5708, 267, 855, 1483, 3734, 2645, 2437, 3081, 17722, 1234, 324, 576, 267, 16628, 540, 769, 291, 549, 29790, 269, 834, 296, 9327, 1405, 581, 14281, 952, 267, 1369, 1079, 1296, 267, 621, 781, 3044, 585, 1169, 3595, 2599, 547, 723, 513, 772, 16787, 593, 4604, 4799, 333, 1638, 476, 866, 4989, 476, 1001, 277, 476, 876, 281, 1839, 281, 4366, 454, 2767, 5130, 476, 1001, 277, 476, 4905, 281, 6812, 281, 2918, 31747, 18299, 523, 910, 5240, 454, 763, 8225, 20331, 17086, 723, 1044, 11702, 10986, 693, 606, 2810, 2557, 267, 607, 1140, 761, 542, 543, 16461, 1746, 2042, 7903, 519, 1297, 540, 2367, 543, 2021, 538, 7833, 1524, 547, 2157, 711, 2938, 538, 1296, 269, 634, 2338, 616, 2693, 513, 1129, 540, 1919, 547, 2097, 607, 519, 27565, 2229, 7575, 593, 922, 9153, 547, 1711, 513, 968, 14211, 518, 267, 811, 26227, 892, 3196, 269, 634, 3105, 20271, 894, 2229, 9450, 519, 4108, 1310, 4947, 547, 1379, 513, 8717, 3516, 267, 4946, 5215, 540, 2367, 543, 2021, 547, 519, 16034, 269, 2991, 519, 476, 1220, 280, 2883, 6433, 267, 519, 2229, 16219, 547, 1832, 476, 6924, 267, 1822, 2407, 6066, 4108, 2818, 543, 476, 2767, 267, 1822, 8264, 1235, 538, 7833, 5103, 17542, 538, 7836, 11912, 269, 1809, 513, 4347, 775, 4972, 1867, 9184, 1194, 538, 519, 5600, 540, 12780, 713, 3018, 2982, 513, 17732, 540, 5176, 476, 272, 267, 12010, 2834, 3196, 2818, 543, 476, 276, 267, 4968, 851, 6066, 8264, 1235, 607, 540, 4728, 476, 1001, 276, 267, 7064, 547, 2362, 982, 4397, 1140, 761, 542, 543, 267, 585, 8264, 1235, 267, 968, 577, 718, 10622, 538, 5870, 16461, 1746, 9889, 553, 1848, 2334, 19776, 609, 513, 17732, 540, 476, 12010, 2407, 6066, 4108, 10986, 543, 476, 275, 267, 4335, 8264, 1235, 519, 3105, 1032, 269, 634, 4108, 814, 1767, 621, 2115, 811, 982, 476, 275, 267, 1822, 1007, 16461, 1080, 1142, 1032, 1175, 547, 15558, 1140, 761, 542, 543, 1832, 476, 6924, 267, 1822, 2407, 6066, 10136, 538, 7833, 269, 634, 1867, 3085, 1406, 2491, 519, 7965, 538, 16461, 1746, 543, 20808, 10986, 267, 855, 519, 2110, 6420, 2813, 2042, 267, 693, 2547, 538, 519, 2110, 2165, 269, 2986, 476, 4817, 23909, 538, 519, 2834, 4229, 267, 476, 2190, 941, 968, 560, 5962, 892, 1107, 602, 568, 267, 896, 560, 3530, 539, 1107, 1498, 519, 1867, 1767, 1007, 16461, 1080, 538, 519, 1062, 1131, 968, 6588, 706, 958, 892, 1118, 909, 519, 3017, 269, 634, 17732, 540, 8264, 1235, 729, 2523, 8650, 607, 519, 851, 6066, 3196, 814, 1044, 1572, 2390, 3875, 2053, 547, 948, 609, 13485, 971, 607, 15787, 267, 610, 538, 16839, 693, 1753, 971, 607, 17160, 543, 4104, 11642, 269, 634, 17732, 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 ]
[ 1269, 343, 318, 272, 259, 281, 552, 3052, 269, 585, 1269, 343, 318, 272, 283, 272, 8961, 1269, 343, 318, 273, 259, 666, 581, 1022, 1297, 538, 1496, 271, 267, 272, 316, 799, 568, 3544, 540, 519, 3989, 2039, 269, 18121, 343, 318, 273, 259, 1058, 581, 1269, 343, 318, 273, 283, 272, 270, 275, 259, 264, 1290, 7757, 3967, 476, 2190, 267, 476, 1001, 278, 693, 476, 276, 281, 6321, 692, 763, 5610, 18159, 272, 7751, 568, 4636, 269, 1403, 649, 11753, 519, 1455, 5860, 609, 2463, 547, 1269, 343, 318, 272, 259, 693, 513, 2016, 1269, 271, 315, 19008, 1535, 318, 273, 315, 19008, 476, 272, 259, 1287, 630, 553, 3254, 2630, 2020, 1492, 2953, 7533, 568, 692, 11377, 2765, 1321, 315, 842, 3709, 275, 343, 318, 273, 11892, 275, 315, 15848, 318, 272, 284, 273, 263, 272, 14870, 318, 273, 1070, 9681, 6518, 568, 519, 5860, 10362, 547, 519, 4351, 4756, 1269, 311, 318, 273, 10608, 11569, 267, 713, 568, 513, 5860, 1384, 2330, 273, 315, 842, 318, 271, 317, 272, 630, 272, 14870, 318, 273, 9385, 15848, 318, 273, 284, 273, 263, 272, 10559, 2765, 1321, 6661, 272, 269, 9681, 2026, 2484, 607, 519, 524, 4206, 540, 1269, 311, 318, 272, 267, 311, 318, 273, 259, 281, 6875, 513, 1413, 693, 519, 1739, 4137, 538, 799, 2947, 1114, 2665, 616, 3254, 1384, 763, 1455, 524, 4206, 267, 519, 5506, 540, 519, 2680, 4399, 346, 311, 318, 272, 283, 343, 318, 272, 315, 5115, 2473, 318, 273, 283, 343, 318, 273, 315, 4151, 666, 581, 7229, 676, 10128, 519, 1455, 7824, 936, 519, 4544, 4525, 1657, 269, 1280, 1383, 538, 519, 1101, 1079, 2665, 519, 2164, 616, 1269, 272, 259, 543, 1269, 271, 8961, 6606, 269, 0, 258, 17828, 1297, 692, 263, 16446, 20526, 689, 17828, 2338, 994, 26877, 755, 1674, 540, 519, 3501, 1297, 4567, 540, 519, 1297, 476, 277, 692, 1103, 1297, 3069, 267, 513, 3501, 1297, 568, 513, 2318, 8870, 602, 568, 3160, 547, 519, 2040, 540, 922, 1697, 2318, 16975, 267, 602, 568, 267, 519, 2040, 540, 922, 2318, 16975, 27195, 519, 1297, 3294, 630, 10193, 1634, 607, 922, 620, 1172, 582, 2040, 1040, 4982, 2526, 1836, 267, 513, 3501, 1297, 568, 513, 1297, 602, 568, 3368, 519, 2040, 540, 782, 540, 922, 2318, 16975, 630, 10175, 3294, 264, 1775, 4318, 269, 21566, 272, 3799, 264, 1109, 284, 1109, 273, 333, 780, 1607, 4214, 568, 3504, 267, 17729, 607, 2038, 607, 21482, 573, 781, 15689, 630, 23997, 269, 2420, 264, 1141, 621, 568, 1572, 26018, 394, 511, 16575, 15770, 15403, 14267, 19084, 31057, 478, 16708, 15403, 15184, 19031, 32703, 19084, 630, 704, 2739, 267, 4998, 267, 610, 2347, 1297, 1040, 21482, 573, 849, 9863, 513, 5250, 4341, 630, 21197, 269, 3607, 264, 17929, 12276, 6234, 7117, 32429, 266, 272, 8358, 273, 4151, 568, 606, 1256, 3501, 1297, 8164, 12276, 6234, 7117, 4151, 568, 513, 6305, 540, 519, 1106, 12276, 6234, 476, 273, 3867, 335, 18511, 272, 4151, 585, 6305, 12276, 6234, 533, 4151, 1765, 6343, 568, 1631, 1572, 513, 631, 619, 26413, 6305, 269, 5565, 27453, 2663, 267, 25586, 9863, 602, 782, 1256, 3501, 2338, 616, 540, 713, 1106, 16804, 272, 316, 901, 568, 1634, 607, 519, 21482, 573, 1700, 292, 17526, 11532, 780, 2005, 568, 711, 1634, 2436, 972, 616, 1022, 9642, 3501, 2338, 267, 6862, 2436, 28222, 1082, 3501, 2338, 2291, 780, 1012, 6201, 692, 763, 1101, 3501, 1297, 568, 476, 277, 269, 4706, 1697, 16975, 616, 476, 272, 267, 476, 273, 267, 543, 476, 274, 267, 543, 476, 272, 1341, 476, 273, 1341, 476, 274, 815, 476, 277, 269, 4982, 2526, 1836, 267, 519, 1297, 476, 277, 568, 3160, 547, 3368, 519, 2040, 540, 782, 922, 2318, 16975, 281, 630, 476, 272, 1341, 476, 273, 1341, 476, 274, 1341, 476, 277, 3738, 21680, 476, 273, 815, 476, 277, 269, 634, 1985, 3501, 1297, 568, 476, 2764, 281, 476, 2764, 815, 476, 272, 1341, 476, 273, 1341, 476, 275, 1341, 476, 278, 1341, 476, 1691, 269, 901, 568, 4553, 676, 519, 3501, 2338, 476, 5392, 277, 543, 476, 279, 1321, 279, 630, 30084, 589, 1822, 31256, 538, 519, 31643, 3041, 6393, 1012, 3778, 692, 1103, 827, 476, 4968, 1109, 6195, 21482, 573, 4951, 602, 952, 476, 273, 335, 1109, 6629, 1109, 272, 568, 6305, 1287, 476, 273, 335, 6629, 272, 263, 273, 335, 1109, 6629, 1109, 272, 264, 568, 3501, 269, 634, 1101, 2185, 3501, 2338, 941, 519, 1152, 3283, 1634, 547, 2038, 5259, 6128, 267, 543, 519, 22301, 12832, 6729, 639, 1185, 7074, 476, 279, 1321, 279, 607, 2038, 607, 476, 1911, 1109, 4696, 16804, 273, 316, 5845, 334, 540, 28641, 538, 1010, 1101, 10601, 1433, 834, 4002, 519, 5137, 257, 19528, 3501, 2338, 267, 19101, 602, 519, 1158, 729, 2813, 538, 476, 277, 2395, 543, 519, 7599, 25057, 538, 476, 2764, 2395, 1317, 476, 277, 543, 476, 2764, 616, 3501, 269, 5845, 334, 568, 4553, 676, 2107, 3394, 267, 314, 274, 316, 543, 676, 9894, 2096, 639, 519, 32559, 267, 945, 8591, 519, 8343, 602, 972, 616, 1152, 2185, 3501, 2338, 602, 616, 1447, 982, 476, 1015, 267, 1822, 269, 630, 4467, 29232, 593, 19606, 476, 272, 269, 476, 1691, 268, 866, 1040, 314, 275, 316, 853, 27596, 11225, 3501, 2338, 538, 4975, 540, 2696, 630, 8512, 2473, 296, 267, 3848, 476, 1789, 264, 538, 519, 2038, 476, 276, 628, 2540, 5084, 267, 18110, 519, 3409, 602, 2696, 2813, 519, 1158, 538, 476, 277, 2395, 1317, 476, 277, 568, 519, 10545, 3501, 1297, 269, 634, 12266, 22301, 1772, 21166, 16481, 333, 12096, 19476, 338, 630, 15686, 275, 1700, 10219, 273, 264, 5018, 519, 1985, 1614, 3501, 2338, 630, 3451, 267, 20862, 267, 28656, 282, 476, 279, 267, 6812, 280, 267, 279, 7597, 267, 4962, 277, 282, 543, 476, 15389, 267, 275, 4343, 267, 7597, 272, 267, 29044, 264, 543, 7396, 513, 1906, 811, 799, 616, 1631, 1634, 547, 581, 11234, 16804, 276, 316, 769, 513, 12377, 2854, 1063, 476, 13970, 277, 543, 476, 16409, 272, 267, 606, 7164, 22301, 6592, 519, 9998, 3864, 4704, 547, 513, 11359, 3501, 1297, 267, 609, 476, 3451, 267, 20862, 267, 28656, 1373, 7157, 4857, 585, 519, 1101, 942, 16804, 277, 6012, 278, 316, 769, 476, 15647, 279, 267, 519, 7969, 22301, 623, 2884, 549, 18280, 10972, 849, 4857, 519, 15795, 630, 279, 267, 6812, 280, 267, 279, 7597, 267, 4962, 277, 264, 543, 519, 18749, 630, 15389, 267, 275, 4343, 267, 7597, 272, 267, 29044, 264, 3501, 2338, 267, 543, 849, 9863, 602, 1169, 3501, 1297, 5833, 689, 21482, 573, 781, 4341, 7475, 609, 513, 476, 277, 610, 606, 476, 279, 16804, 279, 6012, 280, 6012, 1015, 6540, 1012, 4634, 3501, 2338, 692, 24296, 9407, 1966, 538, 6128, 281, 6701, 972, 28222, 1082, 3501, 2338, 286, 263, 3467, 5667, 9407, 2042, 538, 6128, 2020, 292, 16090, 573, 9863, 602, 476, 273, 335, 6629, 272, 263, 273, 335, 1109, 6629, 1109, 272, 264, 568, 606, 1256, 3501, 1297, 8164, 476, 273, 335, 1109, 6629, 1109, 272, 568, 6305, 630, 292, 6123, 267, 11330, 269, 26577, 269, 3607, 6393, 2690, 1383, 267, 519, 1101, 2185, 3501, 2338, 616, 6383, 676, 519, 4542, 476, 273, 335, 6629, 272, 263, 273, 335, 1109, 6629, 1109, 272, 1070, 609, 533, 513, 6305, 1297, 267, 607, 5205, 1384, 1721, 533, 815, 476, 273, 281, 5231, 476, 2641, 263, 2420, 1109, 6629, 1109, 272, 264, 815, 476, 273, 6398, 476, 274, 815, 476, 277, 454, 1721, 533, 815, 476, 274, 281, 5231, 476, 2420, 263, 2537, 1109, 6629, 1109, 272, 264, 815, 476, 275, 6398, 476, 278, 815, 476, 2764, 454, 1721, 533, 815, 476, 276, 281, 5231, 476, 2190, 263, 1839, 1109, 6629, 1109, 272, 264, 815, 476, 1626, 6398, 476, 4029, 815, 476, 5392, 277, 454, 1721, 533, 815, 476, 278, 281, 5231, 476, 2918, 263, 2767, 1109, 6629, 1109, 272, 264, 815, 476, 5038, 6398, 476, 14096, 815, 476, 279, 1321, 279, 780, 28269, 2338, 540, 519, 1106, 476, 273, 335, 1109, 6629, 1109, 272, 616, 1634, 607, 631, 619, 26413, 22136, 267, 1310, 519, 27867, 10601, 31494, 3057, 514, 631, 619, 26413, 267, 945, 6594, 1297, 3069, 543, 3501, 2338, 269, 1280, 476, 273, 335, 1109, 6629, 1109, 272, 547, 581, 6305, 267, 621, 568, 2556, 602, 533, 3294, 581, 6305, 269, 1717, 267, 711, 782, 2338, 540, 519, 1106, 476, 273, 335, 1109, 6629, 1109, 272, 609, 513, 6305, 533, 616, 6305, 282, 585, 1383, 267, 476, 21076, 1109, 6629, 1109, 272, 815, 476, 14225, 278, 815, 476, 2537, 6398, 476, 8660, 568, 711, 513, 6305, 1297, 16804, 1556, 316, 769, 1249, 267, 631, 619, 26413, 22136, 616, 1360, 4686, 1765, 1993, 519, 476, 273, 267, 29637, 267, 280, 4510, 6305, 2338, 533, 909, 547, 476, 6246, 267, 12208, 267, 2568, 280, 267, 314, 1321, 316, 476, 273, 335, 1109, 6629, 1109, 272, 568, 6305, 585, 1152, 476, 5325, 540, 873, 780, 301, 545, 6729, 639, 630, 2568, 1700, 6344, 5084, 264, 28756, 3293, 602, 1169, 3501, 1297, 568, 540, 519, 1106, 476, 273, 335, 6629, 272, 263, 273, 335, 1109, 6629, 1109, 272, 264, 1141, 476, 273, 335, 1109, 6629, 1109, 272, 568, 6305, 16804, 1724, 316, 594, 16818, 620, 6953, 599, 628, 600, 630, 2704, 327, 1794, 523, 264, 2235, 320, 476, 1911, 271, 5084, 28756, 3293, 602, 1169, 1256, 3501, 1297, 568, 540, 602, 1106, 16804, 1691, 316, 898, 729, 711, 2394, 519, 476, 1240, 628, 2540, 602, 15182, 14551, 25586, 9863, 602, 519, 4542, 476, 273, 335, 6629, 272, 263, 273, 335, 1109, 6629, 1109, 272, 264, 786, 6556, 782, 519, 1256, 3501, 2338, 269, 4935, 267, 972, 568, 513, 835, 3562, 14633, 19359, 1063, 1256, 3501, 2338, 543, 631, 619, 26413, 22136, 282, 1142, 631, 619, 26413, 6305, 12958, 835, 1256, 3501, 1297, 267, 543, 13030, 17930, 269, 901, 1267, 568, 1419, 5219, 547, 607, 519, 21482, 573, 1700, 292, 17526, 11532, 780, 2304, 29882, 3406, 676, 519, 717, 8379, 4916, 7856, 7384, 1788, 814, 3254, 602, 519, 1101, 476, 5325, 1256, 3501, 2338, 616, 476, 273, 335, 6629, 272, 263, 273, 335, 1109, 6629, 1109, 272, 264, 585, 692, 335, 815, 476, 273, 267, 476, 274, 267, 476, 276, 267, 476, 278, 267, 476, 1724, 267, 476, 1704, 267, 476, 866, 267, 476, 4029, 267, 476, 8618, 267, 476, 8660, 267, 476, 13040, 267, 476, 14096, 267, 476, 276, 2641, 267, 476, 2568, 278, 267, 476, 14096, 280, 267, 476, 13136, 274, 267, 476, 25248, 272, 267, 476, 25834, 278, 267, 476, 28883, 274, 267, 476, 4510, 273, 274, 267, 476, 280, 6924, 280, 267, 476, 4200, 275, 272, 267, 476, 12208, 1724, 267, 476, 1960, 4391, 267, 476, 24241, 4905, 267, 476, 22446, 6021, 267, 476, 29900, 9032, 267, 476, 279, 7830, 6246, 267, 476, 8099, 2004, 274, 267, 476, 15171, 271, 5392, 267, 476, 21327, 6021, 272, 267, 476, 4037, 277, 279, 4375, 267, 476, 5952, 280, 275, 3451, 267, 476, 10219, 278, 4281, 278, 267, 476, 16928, 279, 2918, 280, 267, 476, 29574, 25118, 272, 267, 476, 23714, 15389, 278, 267, 476, 7597, 278, 28796, 274, 267, 476, 16328, 5780, 280, 1704, 267, 476, 20385, 31634, 1556, 267, 476, 13301, 18458, 10695, 267, 476, 28796, 5038, 280, 7906, 267, 476, 19054, 271, 2190, 6872, 267, 476, 23283, 279, 2918, 6872, 267, 476, 4391, 272, 276, 5780, 6858, 267, 476, 275, 2918, 275, 4343, 4905, 543, 476, 32542, 14695, 6021, 630, 30084, 589, 1822, 271, 6246, 538, 519, 31643, 3041, 1040, 314, 1428, 6540, 19177, 2362, 3501, 2338, 723, 849, 1044, 4362, 267, 12077, 1346, 585, 799, 533, 815, 476, 276, 4281, 5952, 272, 8618, 267, 476, 278, 5655, 5881, 273, 10037, 267, 476, 6507, 273, 31696, 1704, 267, 543, 476, 279, 1839, 279, 4200, 3451, 267, 1498, 972, 949, 581, 1866, 1369, 713, 2039, 269, 1306, 540, 5412, 1109, 1001, 279, 267, 476, 7906, 631, 619, 26413, 22136, 616, 1634, 267, 314, 1626, 316, 543, 4061, 476, 7906, 1256, 3501, 2338, 630, 1492, 4102, 540, 799, 568, 476, 28434, 6812, 280, 280, 3953, 6398, 630, 28434, 6812, 280, 280, 3451, 1109, 6629, 1109, 272, 264, 609, 476, 5392, 267, 278, 2190, 267, 271, 4817, 9704, 1040, 898, 568, 711, 1634, 2436, 972, 616, 28222, 1082, 3501, 2338, 267, 6862, 2436, 972, 616, 28222, 1082, 631, 619, 26413, 22136, 780, 2026, 1134, 607, 2348, 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 ]
[ 6310, 873, 539, 2984, 609, 10643, 971, 607, 717, 4275, 11738, 10819, 267, 7435, 320, 779, 7009, 267, 31849, 267, 14210, 6833, 12288, 20550, 14795, 267, 5192, 4934, 540, 3733, 24872, 267, 17781, 267, 1548, 779, 519, 5384, 6004, 269, 16423, 286, 1656, 5620, 1411, 1530, 523, 3733, 22900, 269, 901, 1305, 540, 4712, 13402, 2469, 1753, 11435, 786, 5000, 2792, 267, 13004, 1646, 543, 12954, 1565, 563, 15761, 754, 707, 2038, 13004, 5059, 2469, 1753, 9126, 4015, 609, 938, 24613, 5851, 7089, 14635, 5590, 2290, 476, 273, 268, 274, 344, 3464, 563, 1607, 23435, 289, 1107, 13174, 14635, 5590, 2290, 476, 274, 268, 277, 344, 3464, 2882, 912, 268, 476, 279, 6423, 28443, 5068, 2469, 1753, 11435, 267, 10023, 14656, 23407, 543, 4163, 20362, 454, 268, 5590, 540, 9941, 1677, 903, 2882, 606, 17707, 267, 22387, 26560, 12070, 9440, 267, 513, 15743, 543, 513, 18896, 454, 268, 5590, 540, 9452, 1160, 1186, 543, 8249, 2882, 476, 1015, 6960, 5798, 543, 513, 1305, 540, 9540, 2622, 22955, 2347, 609, 513, 1804, 30539, 11738, 267, 513, 3575, 540, 9910, 17878, 543, 9910, 3552, 2831, 282, 543, 513, 5590, 540, 19556, 8249, 1519, 1107, 7849, 10606, 1299, 29062, 267, 513, 8381, 523, 2578, 9014, 681, 17526, 267, 8262, 5384, 4804, 1849, 1442, 267, 476, 272, 268, 736, 5682, 270, 23325, 7089, 20514, 267, 476, 271, 268, 1015, 9791, 7089, 21998, 267, 9791, 267, 13174, 20050, 630, 1341, 1107, 1535, 1315, 815, 3738, 14117, 476, 276, 9492, 5494, 338, 20045, 630, 1428, 338, 264, 14117, 476, 274, 9492, 5494, 338, 20045, 630, 1839, 338, 264, 543, 513, 5590, 540, 476, 275, 8381, 523, 1284, 3058, 681, 902, 454, 268, 5590, 540, 7457, 1559, 2882, 476, 273, 5180, 10833, 630, 279, 269, 276, 9492, 543, 476, 1015, 269, 276, 9492, 264, 609, 513, 1305, 540, 476, 276, 1418, 5633, 11435, 454, 268, 5590, 540, 7734, 2882, 10643, 1107, 717, 4275, 11738, 10819, 267, 7435, 320, 779, 7009, 267, 31849, 267, 14210, 6833, 12288, 20550, 14795, 267, 5192, 4934, 540, 3733, 24872, 267, 17781, 267, 1548, 779, 519, 5384, 6004, 269, 16423, 286, 1656, 5620, 1411, 1530, 523, 3733, 22900, 454, 265, 8923, 4063, 938, 2312, 5068, 11435, 616, 4867, 856, 540, 6006, 267, 513, 12990, 1570, 9126, 786, 581, 13859, 1369, 707, 1931, 269, 7490, 1289, 519, 2319, 585, 1022, 14511, 265, 0, 309, 14149, 630, 29919, 17721, 8416, 264, 568, 513, 3060, 2029, 1523, 602, 3096, 513, 1857, 610, 4357, 3060, 547, 3715, 513, 5150, 2780, 3060, 1239, 4276, 269, 634, 1857, 3060, 602, 568, 1034, 1419, 1031, 538, 713, 2013, 568, 519, 5769, 267, 1247, 519, 4357, 3060, 568, 2356, 513, 682, 1078, 1899, 689, 513, 3028, 8502, 269, 898, 13333, 593, 6106, 476, 273, 543, 476, 274, 540, 519, 744, 10485, 4494, 267, 4352, 519, 11638, 268, 3682, 339, 4377, 22443, 22732, 532, 630, 6573, 11862, 264, 10342, 5932, 519, 1079, 6106, 1447, 1950, 563, 288, 19504, 13462, 6552, 6753, 693, 1114, 9883, 538, 513, 2147, 1259, 547, 513, 2647, 1858, 3060, 630, 310, 3198, 1040, 634, 3395, 1344, 6075, 3490, 814, 4547, 609, 621, 519, 991, 547, 4228, 4835, 5121, 3564, 741, 2199, 9165, 547, 5512, 1344, 23425, 543, 2792, 269, 1717, 267, 972, 616, 865, 1082, 1919, 602, 616, 2877, 547, 917, 1354, 3001, 6619, 609, 513, 19504, 269, 1924, 596, 666, 849, 1205, 18124, 309, 14149, 7464, 14871, 17352, 543, 5494, 870, 32011, 689, 966, 303, 2793, 21020, 4932, 312, 630, 29455, 607, 18124, 309, 14149, 10563, 489, 353, 32510, 506, 10563, 480, 361, 424, 504, 358, 28990, 494, 14091, 355, 361, 423, 371, 364, 14091, 364, 493, 966, 303, 2793, 21020, 4932, 312, 14602, 502, 476, 17432, 510, 14602, 372, 10563, 377, 498, 423, 497, 506, 538, 519, 11114, 1893, 1916, 15862, 11905, 281, 5616, 454, 763, 19504, 1523, 568, 1031, 547, 1683, 1898, 1871, 14194, 4765, 2533, 693, 513, 5266, 1970, 1942, 543, 609, 8476, 2298, 538, 4334, 547, 519, 2533, 540, 513, 6093, 3060, 8502, 269, 634, 8545, 2488, 5989, 2533, 971, 607, 1239, 4099, 16475, 543, 3135, 14479, 563, 309, 14149, 2533, 5691, 1125, 607, 1082, 3028, 6703, 607, 2009, 936, 519, 1482, 5989, 269, 8298, 673, 4687, 540, 2200, 971, 607, 3060, 5989, 267, 3354, 267, 6552, 543, 12616, 1569, 269, 3962, 3028, 568, 2966, 4481, 585, 606, 1367, 6075, 269, 634, 3483, 540, 891, 2533, 568, 547, 2743, 741, 1367, 2115, 563, 3963, 19504, 6796, 888, 9213, 779, 7384, 1604, 11438, 513, 1164, 543, 13671, 1981, 540, 1373, 19847, 676, 2477, 621, 3112, 1569, 269, 21824, 540, 2009, 1239, 23563, 814, 3366, 1004, 547, 1491, 15416, 950, 17034, 6552, 2533, 269, 6201, 540, 4128, 2576, 1522, 3442, 547, 946, 513, 19504, 3028, 616, 281, 8894, 22879, 2520, 334, 3146, 560, 2774, 687, 593, 519, 5769, 454, 22879, 532, 2229, 1377, 24890, 0, 4537, 1695, 573, 13019, 327, 614, 267, 9375, 267, 21180, 10890, 16447, 267, 12038, 547, 3220, 269, 18243, 321, 597, 19453, 454, 267, 5518, 267, 22094, 2096, 5474, 17072, 585, 10076, 2657, 454, 267, 547, 1451, 811, 827, 2790, 1072, 4713, 267, 799, 3136, 547, 581, 693, 519, 3597, 540, 782, 3676, 855, 3136, 547, 581, 15763, 543, 1447, 14437, 827, 269, 10076, 1072, 4713, 281, 2776, 28700, 454, 296, 3494, 267, 3127, 8309, 25409, 547, 519, 2518, 2068, 11411, 538, 2474, 540, 2790, 1072, 269, 4634, 1247, 2790, 3676, 2272, 585, 476, 1015, 260, 540, 519, 5001, 2068, 11411, 267, 3127, 814, 513, 2484, 3677, 2671, 267, 609, 5176, 476, 6321, 2929, 2665, 540, 4965, 543, 1776, 476, 6078, 2929, 2665, 540, 4160, 4713, 269, 1656, 649, 723, 827, 476, 13975, 267, 1822, 647, 15969, 1142, 1032, 269, 901, 1226, 919, 547, 10199, 476, 10384, 2665, 1169, 1554, 269, 1656, 713, 568, 711, 519, 3020, 4137, 269, 4340, 547, 513, 1353, 267, 519, 3020, 2557, 538, 20474, 24385, 340, 543, 31016, 31540, 568, 5111, 1614, 547, 2185, 2053, 2362, 982, 713, 267, 543, 585, 1169, 11980, 602, 4386, 538, 3127, 267, 972, 616, 476, 1428, 547, 476, 736, 811, 8942, 269, 3204, 21884, 2406, 267, 3127, 1631, 814, 519, 5207, 11980, 2557, 538, 519, 1158, 8160, 1581, 1072, 4713, 281, 17563, 1299, 8889, 454, 2005, 814, 1044, 4767, 538, 2487, 5756, 602, 2790, 1072, 568, 1945, 602, 649, 798, 711, 1616, 547, 1865, 269, 1284, 30908, 621, 896, 519, 24821, 269, 898, 1281, 711, 1491, 8998, 3942, 538, 1022, 1259, 269, 1656, 267, 540, 1576, 267, 621, 28107, 607, 513, 1267, 540, 6848, 7965, 269, 5015, 267, 24040, 2152, 616, 12082, 538, 16663, 267, 26723, 2350, 5314, 267, 7130, 267, 543, 519, 16799, 540, 1896, 7506, 269, 1717, 267, 594, 723, 2938, 538, 519, 2063, 1032, 602, 649, 798, 711, 2408, 547, 21028, 519, 16799, 602, 6818, 1063, 2790, 4576, 543, 824, 3029, 540, 1072, 2042, 269, 4634, 1369, 519, 2564, 1158, 267, 649, 798, 711, 3100, 547, 21028, 713, 269, 1403, 621, 814, 1044, 4547, 909, 267, 621, 814, 711, 4607, 1713, 3007, 563, 2171, 723, 2938, 602, 267, 5103, 519, 1249, 602, 649, 1631, 723, 513, 2817, 2657, 8889, 454, 267, 799, 729, 3964, 538, 476, 1001, 275, 267, 543, 513, 10076, 2657, 2920, 454, 267, 799, 729, 31751, 538, 476, 1001, 278, 543, 21892, 538, 476, 1001, 279, 267, 649, 798, 711, 723, 513, 11980, 6604, 3609, 269, 2672, 8336, 568, 835, 540, 519, 1034, 1455, 4191, 540, 2790, 4576, 538, 3127, 269, 769, 3127, 267, 649, 798, 711, 1256, 723, 513, 11980, 6604, 1544, 269, 1284, 786, 711, 581, 2111, 547, 1439, 713, 6848, 4731, 320, 1047, 2394, 649, 723, 606, 2962, 1544, 543, 513, 4640, 538, 1747, 547, 798, 865, 269, 1306, 594, 5892, 7150, 267, 649, 2919, 513, 2817, 2657, 8889, 1759, 593, 513, 7008, 540, 1296, 540, 3609, 1895, 5717, 543, 1500, 2178, 7840, 547, 519, 2229, 267, 543, 538, 476, 1001, 275, 267, 649, 6368, 2919, 513, 5943, 602, 9138, 519, 5075, 267, 3853, 267, 543, 6859, 269, 769, 2474, 540, 2930, 10220, 267, 621, 568, 538, 1899, 609, 519, 2136, 8315, 262, 12655, 4886, 17644, 585, 2790, 1072, 269, 1284, 1705, 2936, 513, 3609, 267, 855, 519, 1297, 540, 2665, 540, 1480, 2790, 1072, 2152, 267, 607, 1134, 607, 519, 1297, 540, 647, 15969, 543, 267, 540, 1576, 267, 2790, 1072, 538, 2489, 267, 814, 1044, 593, 519, 4473, 2094, 476, 1001, 275, 8160, 1581, 2657, 4713, 281, 12694, 454, 1432, 568, 2790, 1072, 286, 1879, 596, 1413, 1472, 707, 2486, 267, 596, 786, 1294, 602, 972, 616, 1004, 945, 616, 11634, 15617, 545, 267, 17299, 267, 543, 7985, 689, 1585, 2790, 543, 14715, 10108, 269, 1284, 3277, 547, 891, 3871, 607, 5778, 268, 17595, 12278, 2665, 538, 2489, 267, 782, 1369, 519, 2796, 540, 1018, 13054, 2790, 1072, 538, 3127, 269, 1280, 930, 2601, 267, 789, 723, 1044, 16271, 547, 6281, 2126, 538, 1312, 519, 1857, 543, 4357, 9922, 269, 4634, 1631, 267, 952, 1022, 948, 267, 3797, 267, 610, 5868, 568, 6035, 267, 621, 568, 14311, 538, 519, 1857, 5823, 269, 1809, 267, 538, 2474, 540, 3609, 267, 649, 991, 547, 1445, 593, 3119, 3782, 267, 2126, 267, 543, 3007, 2094, 602, 568, 1141, 1004, 21078, 269, 1703, 568, 1100, 11865, 585, 2790, 3782, 538, 513, 3119, 1072, 1416, 1604, 267, 799, 568, 835, 540, 519, 30304, 269, 1703, 568, 513, 4049, 17732, 540, 2790, 3782, 12665, 543, 4648, 269, 4634, 538, 519, 1558, 24227, 267, 594, 723, 2760, 4862, 540, 17867, 11923, 269, 1280, 1326, 827, 3127, 781, 6917, 2127, 269, 1306, 513, 1267, 267, 972, 568, 513, 4049, 20317, 540, 16895, 267, 24004, 28748, 267, 543, 1346, 8348, 547, 1683, 3797, 585, 1022, 2790, 4576, 269, 5015, 267, 972, 568, 513, 3668, 540, 2790, 1072, 5989, 269, 1284, 723, 711, 2808, 267, 2161, 267, 18175, 15665, 519, 5989, 540, 606, 4540, 2790, 1072, 9744, 610, 1256, 14335, 513, 1007, 835, 269, 594, 993, 711, 3222, 540, 1022, 1007, 2790, 1072, 10506, 602, 723, 8118, 538, 519, 2197, 538, 519, 2063, 476, 1839, 1296, 269, 4208, 1810, 1405, 649, 1589, 621, 568, 4105, 547, 3715, 1007, 2790, 1072, 5238, 950, 10199, 476, 1691, 2600, 540, 938, 2197, 781, 2551, 23119, 689, 930, 1826, 540, 2790, 4576, 286, 26045, 1072, 4713, 281, 10158, 4464, 454, 296, 993, 711, 2386, 2436, 621, 568, 13858, 547, 1865, 713, 267, 855, 621, 568, 711, 1945, 1004, 1616, 547, 3717, 827, 269, 4658, 616, 1631, 6158, 827, 519, 6855, 543, 5046, 267, 607, 1134, 607, 21061, 267, 13663, 267, 543, 824, 3676, 269, 4208, 711, 2232, 2790, 1072, 2152, 286, 10076, 1072, 2152, 616, 849, 513, 32446, 3650, 269, 1403, 596, 798, 711, 1174, 875, 519, 1079, 16799, 267, 596, 786, 711, 29311, 875, 1271, 2790, 1072, 568, 538, 2474, 540, 24254, 824, 3676, 543, 2188, 538, 519, 1480, 1560, 269, 22749, 4805, 786, 711, 581, 2111, 547, 8396, 1022, 824, 1072, 5829, 2042, 269, 31401, 538, 18629, 267, 8644, 5984, 267, 543, 1082, 5824, 1977, 6082, 723, 1152, 1044, 3811, 1317, 540, 519, 6626, 7589, 540, 2199, 2950, 267, 2950, 693, 1804, 267, 17055, 12205, 267, 3540, 2486, 267, 27013, 267, 543, 2146, 2861, 14540, 269, 634, 2229, 4805, 786, 711, 581, 2111, 547, 9004, 16663, 269, 898, 568, 513, 2146, 678, 1057, 609, 7130, 543, 26723, 2350, 1436, 602, 2337, 891, 1004, 556, 15759, 3433, 883, 2486, 269, 12315, 891, 2043, 2230, 543, 15683, 538, 1272, 865, 602, 513, 15508, 2192, 1268, 1281, 711, 1745, 11849, 3139, 540, 519, 1249, 602, 789, 3112, 1294, 513, 18673, 610, 31897, 543, 602, 789, 786, 581, 14460, 543, 15860, 269, 0, 20606, 639, 5403, 5600, 5013, 585, 3214, 454, 20606, 639, 5403, 5600, 454, 308, 2529, 269, 19866, 8664, 454, 347, 19613, 1475, 275, 6301, 853, 1421, 454, 347, 22704, 1475, 271, 269, 279, 14143, 630, 271, 269, 3953, 688, 10245, 21270, 16742, 1475, 322, 269, 476, 9264, 271, 543, 476, 3192, 279, 2008, 347, 8512, 540, 1475, 3891, 321, 1258, 4741, 19866, 10588, 630, 2839, 280, 1789, 24879, 5392, 10245, 347, 24520, 27426, 4704, 3143, 13954, 279, 736, 271, 6246, 9262, 2008, 30022, 5013, 585, 3214, 14294, 881, 656, 7389, 454, 347, 3849, 4765, 547, 715, 305, 27426, 1475, 18907, 476, 2764, 267, 476, 2735, 273, 2008, 347, 17637, 730, 8713, 1475, 20809, 476, 1789, 267, 476, 1960, 274, 2008, 763, 31217, 5403, 5600, 267, 849, 1634, 607, 670, 1168 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 258, 3503, 1982, 547, 1265, 519, 7887, 543, 9540, 652, 540, 715, 2338, 563, 258, 11434, 13662, 281, 2422, 519, 3252, 547, 1265, 7887, 543, 10545, 2338, 563, 692, 3698, 7887, 3799, 334, 2187, 825, 2132, 3193, 3799, 334, 9239, 3698, 10545, 3799, 334, 2187, 825, 2132, 1295, 3799, 334, 2020, 5894, 815, 314, 2639, 333, 815, 703, 9272, 2891, 11767, 519, 715, 628, 1297, 281, 27328, 1721, 1775, 538, 2039, 263, 271, 19885, 2187, 825, 1003, 815, 703, 9272, 2891, 11767, 5903, 540, 7089, 281, 27328, 825, 561, 529, 6910, 16325, 2020, 2745, 263, 5894, 994, 2745, 2891, 763, 8262, 7465, 7089, 538, 519, 5903, 568, 281, 14307, 15927, 7465, 263, 5894, 4917, 2745, 2891, 763, 10545, 7089, 538, 519, 5903, 568, 281, 14307, 20791, 652, 263, 5894, 264, 9239, 0, 258, 5569, 641, 18258, 1477, 3698, 4990, 301, 13246, 16325, 8029, 825, 585, 1775, 538, 2039, 12759, 16325, 264, 910, 476, 272, 8029, 1038, 585, 795, 538, 2039, 12759, 16325, 264, 910, 476, 272, 8029, 2018, 952, 1003, 14728, 316, 3436, 1003, 14728, 1341, 476, 272, 316, 6769, 3546, 10917, 815, 1003, 14728, 15947, 3546, 1003, 14728, 316, 815, 1003, 14728, 1341, 476, 272, 15947, 3546, 1003, 14728, 1341, 476, 272, 316, 815, 10917, 1477, 825, 1820, 2891, 306, 9285, 2338, 24333, 1003, 3418, 5897, 3698, 9352, 15507, 17338, 272, 267, 6221, 2567, 5897, 825, 1592, 272, 31699, 14052, 825, 1101, 815, 476, 271, 1477, 825, 2063, 815, 7003, 17338, 272, 264, 910, 476, 272, 1477, 825, 1336, 815, 8771, 5897, 825, 1247, 1101, 10922, 2063, 543, 711, 1336, 6769, 1038, 30268, 815, 703, 9230, 14140, 1341, 2063, 264, 1315, 476, 273, 3418, 1038, 952, 1592, 272, 314, 13232, 4812, 316, 2652, 6221, 6769, 2018, 1336, 815, 6936, 1477, 2018, 2132, 1336, 1477, 1038, 3116, 6769, 2018, 952, 6221, 2999, 1592, 272, 314, 13232, 4812, 316, 6769, 3546, 2063, 815, 30268, 910, 476, 272, 1477, 2018, 3116, 6769, 3546, 1101, 815, 30268, 1341, 476, 272, 1477, 1038, 2132, 1336, 5897, 3698, 26871, 1088, 626, 17338, 273, 8029, 825, 1592, 273, 18622, 2091, 14052, 825, 1820, 2891, 516, 951, 539, 1592, 2433, 2580, 1592, 273, 264, 0, 258, 3503, 1982, 547, 1685, 1739, 912, 258, 8587, 1775, 264, 6744, 2436, 2016, 1297, 568, 6305, 610, 711, 563, 258, 672, 13797, 264, 2637, 4733, 782, 519, 6305, 2338, 1063, 476, 272, 547, 715, 1141, 715, 568, 2016, 1297, 780, 258, 476, 272, 476, 274, 476, 276, 476, 278, 476, 1556, 476, 1724, 476, 1704, 476, 866, 692, 11133, 815, 703, 9272, 2891, 11767, 519, 7089, 281, 27328, 604, 1003, 2525, 272, 912, 825, 1820, 6600, 257, 346, 11133, 348, 568, 513, 11788, 7089, 5602, 19197, 1003, 260, 273, 2525, 271, 912, 825, 1820, 6600, 257, 346, 11133, 348, 568, 711, 513, 11788, 7089, 19515, 12828, 912, 825, 1820, 6600, 257, 346, 11133, 348, 568, 513, 11788, 7089, 15419, 16482, 604, 1003, 3436, 476, 272, 912, 825, 585, 1775, 538, 2039, 263, 272, 267, 11133, 2187, 1038, 952, 1775, 260, 273, 2525, 271, 912, 2018, 1820, 6600, 257, 346, 328, 348, 568, 711, 513, 6305, 1297, 5602, 1038, 3116, 912, 2018, 1820, 6600, 257, 346, 328, 348, 568, 513, 6305, 1297, 5602, 12828, 912, 825, 1820, 6600, 257, 346, 11133, 348, 568, 711, 513, 6305, 1297, 257, 9239, 258, 1403, 2016, 1297, 568, 3152, 982, 476, 272, 454, 258, 952, 1003, 3436, 476, 272, 912, 16482, 258, 672, 1948, 594, 614, 622, 689, 476, 273, 547, 562, 1315, 476, 273, 454, 258, 672, 585, 1775, 538, 2039, 263, 273, 267, 1003, 12262, 476, 273, 2187, 16482, 258, 1363, 1948, 1403, 1003, 568, 16883, 676, 1022, 1297, 1063, 454, 258, 1363, 1948, 476, 273, 543, 562, 1315, 476, 273, 267, 621, 568, 711, 6305, 454, 258, 1363, 952, 630, 11133, 4939, 1775, 264, 2652, 476, 271, 912, 258, 17264, 1820, 16325, 267, 834, 529, 711, 513, 6305, 1297, 5602, 258, 17264, 1948, 2736, 454, 258, 672, 3116, 912, 258, 1363, 1820, 16325, 267, 834, 529, 513, 6305, 1297, 5602, 16482, 258, 3116, 912, 258, 672, 1820, 16325, 267, 834, 529, 711, 513, 6305, 1297, 5602, 258, 19638, 0, 258, 8073, 1079, 8913, 1255, 512, 1575, 272, 1299, 512, 1575, 273, 543, 4019, 782, 3710, 538, 3252, 593, 8913, 1255, 269, 630, 28582, 20861, 585, 519, 29740, 538, 3252, 1592, 10142, 258, 1820, 5560, 597, 6025, 340, 921, 264, 10142, 339, 1575, 815, 630, 5655, 267, 7918, 267, 1240, 267, 7830, 267, 10619, 267, 1428, 10142, 258, 17776, 476, 272, 952, 519, 1871, 2291, 543, 952, 519, 1871, 568, 711, 2291, 519, 562, 621, 786, 2132, 519, 1871, 476, 271, 1477, 2745, 6025, 1575, 29644, 2891, 306, 27232, 600, 8442, 3418, 2745, 6025, 1575, 29644, 263, 7830, 17903, 2745, 6025, 1575, 29644, 263, 1428, 264, 10142, 258, 4635, 4994, 1477, 2745, 6025, 1575, 28827, 263, 7830, 17903, 2745, 6025, 1575, 28827, 2891, 306, 27232, 600, 8442, 3418, 2745, 6025, 1575, 28827, 263, 1240, 17903, 5897, 258, 7003, 24998, 264, 9890, 8870, 1477, 2745, 12759, 6025, 1575, 264, 10142, 258, 3193, 263, 24042, 3738, 9890, 1871, 1477, 2745, 32384, 6025, 1575, 264, 10142, 258, 1295, 6025, 340, 921, 3418, 2745, 263, 2381, 6025, 1575, 264, 10142, 339, 1575, 272, 815, 630, 10619, 267, 3418, 2745, 263, 1415, 6025, 1575, 272, 17903, 24653, 0, 258, 3503, 513, 1982, 547, 1265, 519, 7887, 540, 476, 274, 2338, 630, 8196, 1403, 16448, 2020, 5894, 815, 1496, 2190, 267, 7367, 267, 2004, 2639, 2745, 32384, 263, 5894, 264, 9239, 258, 3503, 513, 1982, 547, 1265, 2016, 1297, 568, 9642, 610, 4634, 692, 11133, 815, 703, 9272, 2891, 11767, 519, 1297, 281, 834, 11723, 604, 1003, 260, 273, 2525, 271, 912, 825, 1820, 2891, 22209, 1229, 1297, 568, 4634, 5602, 12828, 912, 825, 1820, 2891, 22209, 1229, 1297, 568, 744, 9536, 257, 9239, 258, 3503, 513, 1982, 547, 1265, 519, 1297, 568, 11788, 610, 711, 780, 15893, 815, 703, 9272, 2891, 11767, 519, 1297, 281, 27328, 604, 1297, 3436, 476, 272, 1384, 825, 1948, 594, 614, 622, 689, 476, 273, 547, 562, 12262, 476, 273, 454, 825, 585, 1775, 538, 2039, 263, 273, 267, 1297, 12262, 476, 273, 2187, 1038, 952, 630, 15893, 4939, 1775, 264, 2652, 476, 271, 912, 2018, 1820, 28840, 267, 834, 529, 711, 513, 6305, 1297, 5602, 2018, 2736, 454, 825, 3116, 912, 1038, 1820, 28840, 267, 834, 529, 513, 6305, 1297, 15419, 12828, 912, 825, 1820, 28840, 267, 834, 529, 711, 513, 6305, 1297, 15419, 692, 0, 5814, 11885, 607, 5286, 3097, 5814, 21795, 607, 19073, 3097, 5814, 21267, 28272, 607, 12301, 8528, 343, 815, 1496, 271, 267, 272, 267, 273, 2639, 344, 815, 1496, 1911, 267, 1220, 267, 4968, 6540, 258, 12301, 19502, 3287, 11971, 2020, 327, 17639, 815, 19073, 6185, 1092, 20988, 20719, 262, 7741, 9166, 314, 272, 267, 272, 267, 273, 267, 273, 267, 273, 267, 274, 267, 274, 267, 274, 3910, 1412, 23748, 9166, 314, 1911, 267, 6344, 267, 5002, 267, 1220, 267, 15996, 267, 20542, 267, 20065, 267, 25134, 316, 348, 2020, 10823, 31892, 2660, 22607, 17639, 9131, 7741, 28710, 8027, 9131, 23748, 28710, 2681, 8782, 258, 25900, 6858, 322, 280, 3299, 15262, 8782, 265, 5073, 10823, 26644, 3488, 295, 17639, 2480, 2660, 18140, 5073, 10823, 11859, 16932, 3488, 305, 334, 1682, 3299, 2681, 8782, 19990, 5073, 10823, 269, 29786, 3488, 25820, 3299, 2681, 8782, 1042, 5073, 10823, 11859, 3916, 263, 271, 267, 274, 994, 10823, 269, 2643, 574, 263, 271, 267, 4968, 994, 10823, 20481, 10797, 0, 454, 18411, 20779, 334, 593, 18472, 454, 18257, 692, 5035, 12287, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 720, 2187, 1038, 1582, 20508, 815, 2012, 454, 1038, 1582, 269, 720, 815, 2085, 692, 825, 1219, 1820, 325, 684, 4311, 2187, 1038, 1820, 4311, 20508, 267, 1345, 269, 720, 2020, 5035, 31287, 27456, 3205, 2187, 825, 1219, 6449, 8181, 9191, 1345, 267, 4067, 267, 720, 2187, 1038, 2706, 14061, 1029, 8181, 9191, 4067, 267, 720, 994, 1038, 2706, 14061, 2745, 325, 684, 4590, 1038, 1948, 31094, 14857, 8181, 9191, 1345, 267, 4067, 267, 720, 994, 1038, 1948, 31094, 31428, 325, 684, 4311, 2020, 28128, 815, 31287, 3488, 29582, 3299, 3451, 994, 28744, 263, 28128, 20508, 267, 28128, 269, 720, 994, 0, 5814, 1770, 11687, 454, 5228, 1058, 318, 1091, 331, 1104, 1058, 267, 1058, 318, 2254, 692, 5035, 4530, 19675, 1091, 331, 14300, 263, 684, 8636, 652, 11053, 652, 19111, 2187, 825, 8173, 825, 589, 7008, 6402, 799, 5280, 538, 1603, 891, 1806, 563, 825, 5291, 2517, 4178, 11075, 746, 268, 1091, 331, 29335, 13045, 825, 5291, 2517, 7090, 10676, 539, 3820, 270, 29019, 318, 1091, 331, 270, 19989, 318, 3901, 7129, 11258, 454, 825, 8173, 825, 1219, 1449, 318, 2692, 18978, 4311, 2187, 1038, 524, 815, 6936, 454, 1038, 524, 1923, 29019, 347, 581, 263, 12148, 2020, 825, 1219, 1449, 5332, 13246, 4311, 2187, 1038, 552, 815, 476, 275, 269, 273, 454, 1038, 552, 1923, 29019, 347, 581, 263, 275, 269, 273, 994, 1038, 630, 324, 266, 272, 264, 1923, 29019, 347, 3160, 15461, 263, 276, 269, 273, 994, 453, 453, 258, 324, 1923, 29019, 347, 581, 14682, 805, 518, 318, 22474, 263, 275, 994, 1038, 552, 1923, 29019, 347, 581, 14682, 805, 518, 318, 22474, 318, 528, 318, 16029, 15461, 263, 275, 269, 273, 994, 1038, 552, 1923, 29019, 347, 581, 318, 1652, 318, 22474, 263, 276, 994, 1038, 552, 1923, 29019, 347, 581, 318, 1652, 318, 22474, 318, 528, 318, 16029, 15461, 263, 275, 269, 273, 994, 1038, 552, 1923, 29019, 318, 2254, 347, 581, 263, 275, 2020, 825, 1219, 1449, 23919, 902, 4311, 2187, 1038, 546, 815, 834, 10472, 4840, 1038, 552, 815, 834, 10472, 568, 513, 1449, 4840, 1038, 546, 1923, 29019, 347, 581, 2891, 10472, 5602, 1038, 552, 1923, 29019, 347, 1331, 2891, 529, 513, 5602, 1038, 552, 1923, 29019, 347, 1376, 318, 5976, 2891, 10472, 5602, 1038, 552, 1923, 29019, 347, 1439, 318, 5976, 2891, 11687, 15419, 825, 1219, 1449, 9078, 1235, 4311, 2187, 1038, 513, 815, 1496, 272, 267, 476, 273, 267, 476, 274, 2639, 1038, 513, 1923, 29019, 347, 1331, 318, 718, 15058, 8443, 272, 267, 476, 273, 267, 476, 274, 7481, 1038, 513, 1923, 29019, 347, 1331, 263, 274, 994, 1038, 513, 1923, 29019, 318, 2254, 347, 1331, 263, 5655, 994, 1038, 513, 1923, 29019, 347, 723, 263, 274, 1040, 19477, 692, 825, 1219, 1449, 18380, 338, 4311, 2187, 1038, 536, 815, 27835, 320, 9166, 272, 267, 1412, 321, 9166, 273, 8679, 1038, 536, 1923, 29019, 347, 1331, 318, 718, 15058, 20719, 262, 320, 9166, 272, 267, 1412, 321, 9166, 273, 348, 994, 1038, 536, 1923, 29019, 347, 1331, 318, 12399, 3488, 321, 5073, 1038, 536, 1923, 29019, 318, 2254, 347, 1331, 318, 12399, 3488, 304, 5073, 1038, 536, 1923, 29019, 347, 723, 263, 273, 1040, 6343, 338, 1080, 1948, 8074, 281, 519, 1547, 6343, 338, 1080, 568, 4852, 12519, 4006, 543, 666, 581, 4376, 563, 1038, 1948, 17647, 318, 520, 318, 2865, 267, 723, 318, 520, 318, 548, 770, 692, 825, 1219, 1449, 318, 15953, 338, 4311, 2187, 1038, 1362, 13340, 24998, 2187, 2018, 1219, 6449, 8181, 9191, 1345, 267, 2012, 22561, 2187, 3546, 1582, 20508, 815, 2012, 454, 1038, 536, 815, 13340, 2891, 31435, 1158, 5602, 1038, 536, 1923, 29019, 347, 581, 318, 11779, 15058, 16360, 2135, 994, 1038, 536, 1923, 29019, 347, 581, 318, 27349, 15058, 16360, 2135, 994, 1038, 536, 1923, 29019, 347, 4431, 15461, 2891, 4067, 5602, 1038, 536, 20508, 1923, 29019, 347, 581, 2891, 31435, 1158, 15419, 825, 1219, 1449, 318, 1410, 2700, 4311, 2187, 1038, 536, 815, 7183, 454, 1038, 536, 1923, 29019, 347, 581, 263, 14085, 994, 1038, 536, 815, 834, 321, 984, 4840, 1038, 536, 1923, 29019, 318, 2254, 347, 581, 263, 14085, 2020, 825, 1219, 1449, 6958, 17313, 4311, 2187, 1038, 1219, 1100, 318, 1706, 4461, 263, 2567, 2132, 476, 5655, 454, 1038, 1219, 9811, 318, 1706, 4461, 3287, 267, 586, 2567, 2132, 1535, 20742, 692, 1038, 1100, 318, 1706, 4461, 3890, 1923, 29019, 347, 581, 263, 5655, 994, 1038, 9811, 318, 1706, 4461, 263, 275, 267, 276, 264, 1923, 29019, 347, 581, 263, 280, 2020, 825, 1219, 1449, 318, 518, 5558, 4311, 2187, 1038, 6206, 13286, 1923, 29019, 347, 581, 318, 628, 3497, 318, 2421, 10857, 10033, 281, 15079, 314, 11277, 7481, 1038, 20023, 19667, 1707, 13286, 1923, 29019, 347, 581, 318, 628, 3497, 318 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 30220, 454, 5814, 942, 454, 5814, 11706, 7531, 2745, 263, 5503, 7456, 665, 5306, 830, 31156, 2745, 5560, 520, 8135, 6155, 520, 8135, 269, 852, 15405, 2745, 5560, 520, 8135, 6155, 622, 6745, 3736, 31156, 5814, 942, 454, 339, 815, 942, 269, 1598, 1111, 830, 2891, 260, 312, 260, 332, 260, 323, 2580, 5503, 7456, 665, 5306, 830, 15405, 2745, 2891, 339, 257, 266, 339, 2020, 5814, 942, 454, 339, 815, 942, 269, 1598, 1111, 830, 2891, 260, 332, 260, 323, 260, 306, 2580, 5503, 7456, 665, 5306, 830, 15405, 2745, 2891, 339, 257, 266, 339, 264, 0, 4067, 815, 3403, 3488, 11767, 707, 2012, 267, 5225, 281, 5073, 2745, 3488, 301, 823, 547, 2743, 596, 10086, 1341, 2012, 1341, 1412, 256, 5073, 10938, 815, 3403, 2891, 296, 6415, 2386, 594, 6415, 1079, 1296, 4587, 982, 596, 2437, 1341, 2012, 1341, 834, 269, 3807, 4283, 707, 2085, 281, 5602, 720, 815, 703, 263, 10938, 994, 2745, 2891, 295, 320, 267, 594, 6415, 834, 1341, 1193, 263, 720, 1341, 476, 273, 264, 1341, 834, 269, 594, 6785, 621, 5602, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 7042, 12163, 287, 12041, 476, 2433, 23071, 454, 287, 5503, 825, 2433, 476, 1001, 280, 268, 5881, 268, 736, 476, 1428, 281, 4649, 454, 287, 728, 672, 2433, 12877, 2419, 1301, 22322, 20701, 454, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 912, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 12785, 815, 7183, 692, 5035, 8827, 912, 825, 1219, 1647, 11966, 4311, 267, 2212, 281, 5903, 11966, 264, 9847, 5903, 11966, 912, 1038, 3500, 17045, 267, 2656, 17045, 815, 2212, 267, 2212, 454, 1038, 1247, 2656, 17045, 543, 2656, 17045, 12785, 912, 2018, 2656, 17045, 815, 2656, 17045, 12785, 12785, 454, 2018, 3500, 17045, 815, 3500, 17045, 12785, 454, 1038, 2132, 3500, 17045, 454, 0, 333, 272, 25507, 263, 3863, 17750, 15405, 333, 273, 25507, 263, 3863, 17750, 15405, 333, 274, 25507, 263, 3863, 17750, 15405, 604, 562, 272, 285, 333, 273, 543, 562, 272, 285, 333, 274, 912, 825, 1820, 834, 333, 272, 568, 3152, 4840, 19197, 562, 273, 285, 333, 274, 912, 825, 1820, 834, 333, 273, 568, 3152, 4840, 12828, 912, 825, 1820, 834, 333, 274, 568, 3152, 4840, 0, 258, 28605, 8193, 281, 30016, 268, 279, 20609, 8894, 12163, 32046, 593, 29443, 4924, 476, 2764, 476, 6021, 281, 1321, 281, 6246, 476, 1708, 271, 692, 287, 10461, 281, 24981, 454, 20701, 5814, 21795, 607, 19073, 692, 5035, 19219, 912, 825, 1219, 6449, 8181, 9191, 1345, 19885, 1712, 16182, 267, 7117, 1399, 267, 23748, 2187, 1038, 1582, 8542, 1712, 16182, 815, 6843, 16182, 3097, 1038, 1582, 269, 336, 1399, 25507, 32429, 1399, 994, 1038, 1582, 269, 23748, 284, 23748, 454, 1038, 1582, 12785, 815, 7183, 454, 1038, 1582, 269, 2181, 341, 815, 7183, 454, 825, 1219, 6449, 1598, 9191, 1345, 2187, 1038, 2132, 1193, 4311, 8542, 1712, 16182, 264, 1341, 834, 347, 834, 1341, 1193, 4311, 269, 336, 1399, 264, 1341, 834, 1923, 1269, 257, 1341, 834, 346, 15545, 273, 325, 348, 2668, 8971, 4311, 269, 23748, 994, 13872, 13872, 5035, 21912, 8266, 912, 825, 1219, 6449, 8181, 9191, 1345, 2187, 1038, 1582, 23584, 22561, 454, 825, 1219, 1820, 8266, 4311, 2187, 1038, 10917, 284, 1345, 23584, 454, 1038, 1820, 2891, 346, 271, 281, 285, 273, 2410, 272, 281, 285, 280, 2410, 273, 281, 285, 1321, 348, 2668, 8971, 19629, 333, 2839, 14824, 304, 1399, 14824, 25820, 27363, 1038, 1820, 2891, 268, 257, 265, 2537, 994, 1038, 1247, 6025, 11391, 2187, 2018, 1899, 815, 257, 346, 271, 281, 285, 273, 348, 347, 2715, 272, 281, 285, 278, 2410, 273, 281, 285, 277, 2410, 274, 281, 285, 277, 269, 273, 325, 348, 2668, 8971, 6025, 11391, 8542, 1712, 16182, 267, 10917, 269, 336, 1399, 267, 834, 259, 2580, 10917, 269, 23748, 994, 2018, 1820, 263, 1467, 994, 2018, 1820, 2891, 268, 257, 265, 2537, 994, 2018, 10917, 815, 10917, 12785, 454, 27030, 3698, 6133, 16062, 573, 1326, 263, 961, 626, 267, 11097, 1326, 267, 993, 339, 2187, 825, 3312, 318, 26920, 815, 993, 339, 454, 825, 6075, 318, 23748, 284, 271, 454, 825, 7117, 1399, 284, 271, 454, 825, 1665, 1575, 284, 269, 274, 454, 825, 1942, 815, 476, 271, 454, 825, 2698, 815, 476, 271, 22562, 825, 1247, 26028, 573, 1326, 2187, 1038, 1820, 2891, 10113, 11097, 1326, 538, 1592, 257, 2073, 11097, 1326, 8542, 1712, 16182, 994, 1038, 952, 26028, 573, 1326, 269, 336, 1399, 285, 284, 600, 339, 2187, 2018, 1820, 2891, 9767, 4280, 585, 14307, 1193, 263, 600, 339, 1070, 834, 933, 723, 14307, 1193, 26028, 573, 1326, 269, 336, 1399, 4917, 2018, 11097, 1326, 269, 336, 1399, 815, 11097, 1326, 269, 336, 1399, 268, 600, 339, 454, 2018, 993, 339, 815, 993, 339, 910, 11097, 1326, 269, 336, 1399, 454, 2018, 1948, 4958, 516, 633, 3105, 11097, 1326, 543, 3651, 1985, 1871, 540, 3105, 11097, 1326, 547, 1985, 1871, 267, 952, 11097, 1326, 269, 336, 1399, 284, 271, 454, 2018, 1820, 2891, 8145, 8724, 538, 713, 11097, 1326, 2580, 11097, 1326, 269, 336, 1399, 994, 2018, 952, 26028, 573, 1326, 269, 336, 1399, 27045, 271, 2187, 3546, 952, 11097, 1326, 269, 2181, 341, 2525, 14085, 912, 7386, 561, 4289, 23584, 284, 342, 573, 1326, 12785, 454, 7386, 952, 26028, 573, 1326, 12785, 256, 284, 14085, 2187, 13376, 11097, 1326, 12785, 269, 2181, 341, 22561, 454, 3546, 3116, 912, 7386, 11097, 1326, 269, 2181, 341, 12785, 815, 11097, 1326, 12785, 454, 7386, 11097, 1326, 12785, 269, 2181, 341, 815, 11097, 1326, 269, 2181, 341, 454, 7386, 11097, 1326, 284, 342, 573, 1326, 12785, 454, 3546, 11097, 1326, 284, 342, 573, 1326, 12785, 454, 3546, 2736, 454, 1038, 3116, 912, 2018, 1820, 2891, 9767, 616, 3478, 513, 9864, 2179, 540, 14307, 1193, 26028, 573, 1326, 269, 336, 1399, 1070, 834, 5228, 713, 11097, 1326, 14307, 11097, 1326, 8542, 1712, 16182, 994, 2018, 993, 339, 815, 993, 339, 910, 11097, 1326, 269, 336, 1399, 454, 2018, 1820, 2891, 600, 339, 568, 1631, 2580, 993, 339, 994, 13872, 2018, 952, 263, 600, 339, 3436, 476, 271, 543, 11097, 1326, 12785, 2652, 7183, 2187, 3546, 1820, 2891, 28989, 14307, 993, 339, 2073, 834, 342, 573, 12033, 711, 2139, 693, 713, 942, 23528, 2018, 3116, 912, 3546, 952, 11097, 1326, 269, 2181, 341, 2525, 14085, 912, 7386, 1820, 2891, 342, 573, 1326, 269, 2181, 341, 284, 7183, 5602, 7386, 561, 4289, 23584, 815, 11097, 1326, 12785, 454, 7386, 1948, 342, 573, 1326, 12785, 269, 2181, 341, 22561, 454, 7386, 1820, 2891, 23175, 540, 1592, 568, 1631, 2580, 11097, 1326, 12785, 994, 7386, 11097, 1326, 12785, 269, 2181, 341, 815, 7183, 454, 3546, 3116, 912, 7386, 1820, 2891, 7093, 31773, 11097, 1326, 2580, 11097, 1326, 269, 2181, 341, 994, 7386, 11097, 1326, 269, 2181, 341, 12785, 284, 11097, 1326, 12785, 454, 7386, 11097, 1326, 12785, 269, 2181, 341, 815, 11097, 1326, 269, 2181, 341, 692, 1038, 11097, 1326, 815, 11097, 1326, 12785, 454, 27030, 4449, 454, 3698, 1184, 12774, 263, 961, 626, 267, 1239, 2187, 825, 6455, 318, 4650, 20311, 284, 271, 8931, 825, 11097, 1326, 815, 7183, 454, 825, 561, 4289, 23584, 284, 342, 573, 1326, 454, 825, 1293, 284, 271, 454, 825, 585, 4994, 267, 4737, 538, 1239, 269, 3438, 4900, 10031, 1038, 952, 16597, 314, 271, 6012, 8161, 8079, 2525, 257, 305, 13426, 2018, 1293, 23785, 272, 454, 2018, 7117, 1399, 815, 1239, 314, 272, 6012, 8161, 2639, 2018, 3902, 815, 1239, 314, 273, 6012, 8161, 2639, 2018, 1007, 16062, 573, 1326, 284, 11966, 6262, 870, 267, 336, 1399, 267, 23748, 994, 2018, 952, 26028, 573, 1326, 2525, 14085, 2187, 3546, 1007, 16062, 573, 1326, 269, 2181, 341, 22561, 454, 3546, 561, 4289, 23584, 284, 2908, 16062, 573, 1326, 454, 2018, 3116, 912, 3546, 1007, 16062, 573, 1326, 269, 2181, 341, 815, 11097, 1326, 454, 3546, 11097, 1326, 12785, 815, 1007, 16062, 573, 1326, 454, 2018, 11097, 1326, 284, 2908, 16062, 573, 1326, 454, 2018, 1820, 26028, 573, 1326, 994, 1038, 8640, 16597, 314, 271, 6012, 8161, 316, 2525, 257, 306, 257, 2187, 2018, 6455, 318, 4650, 20311, 23785, 272, 454, 2018, 2179, 815, 703, 16597, 314, 272, 6012, 8161, 7481, 2018, 1820, 19629, 333, 306, 2297, 11352, 14307, 6455, 318, 4650, 20311, 267, 834, 1721, 2179, 257, 2073, 1193, 263, 26920, 4917, 2018, 6133, 16062, 573, 1326, 263, 961, 626, 267, 561, 4289, 23584, 267, 26920, 994, 825, 2132, 561, 4289, 454, 672, 3097, 11907, 815, 19073, 18667, 32269, 2891, 11907, 27406, 2580, 3650, 518, 22561, 264, 3097, 342, 573, 1326, 8217, 284, 299, 22075, 8266, 3890, 3097, 13440, 3581, 284, 15263, 12774, 26028, 573, 1326, 8217, 267, 1239, 994, 342, 573, 1326, 8217, 31428, 8266, 4590, 258, 342, 573, 1326, 284, 342, 573, 1326, 8217, 23584, 7531, 8931, 8931, 258, 3698, 1292, 10031, 258, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 258, 825, 1292, 4590, 1038, 0, 5228, 28184, 5793, 1104, 2608, 1477, 10174, 815, 570, 330, 31476, 517, 601, 8475, 815, 22443, 20172, 267, 1257, 815, 1412, 821, 3299, 535, 326, 815, 1412, 19009, 3299, 536, 326, 8782, 18872, 20298, 517, 601, 8475, 4877, 871, 14052, 13512, 565, 8475, 815, 22443, 20172, 267, 1257, 815, 1412, 18314, 3299, 535, 326, 815, 1412, 19990, 3299, 536, 326, 8782, 1042, 20298, 13512, 565, 8475, 4877, 871, 6600, 650, 284, 311, 3418, 628, 516, 601, 8475, 815, 22443, 20172, 267, 1257, 815, 1412, 22764, 3299, 535, 326, 815, 1412, 13582, 3299, 536, 326, 8782, 20580, 921, 20298, 628, 516, 601, 8475, 4877, 871, 263, 2515, 815, 700, 9128, 307, 267, 6445, 284, 312, 3418, 5897, 18851, 9008, 18134, 815, 31108, 20172, 3418, 9008, 18134, 4877, 871, 14052, 321, 18847, 18134, 815, 31108, 20172, 3418, 321, 18847, 18134, 4877, 871, 263, 2515, 815, 645, 5588, 307, 6865, 10142, 31728, 272, 815, 29502, 6025, 641, 18134, 267, 1257, 8782, 28781, 803, 3299, 535, 326, 8782, 1042, 20298, 31728, 273, 815, 29502, 6025, 641, 18134, 267, 1257, 8782, 28781, 803, 3299, 535, 326, 8782, 19990, 20298, 31728, 274, 815, 29502, 6025, 641, 18134, 267, 1257, 8782, 28781, 803, 3299, 535, 326, 8782, 13582, 20298, 31728, 275, 815, 29502, 6357, 18847, 18134, 267, 1257, 8782, 28781, 803, 3299, 535, 326, 8782, 20580, 921, 262, 10142, 31728, 272, 4877, 871, 263, 2515, 284, 4041, 10499, 3418, 31728, 273, 4877, 871, 263, 2515, 284, 305, 20846, 3418, 31728, 274, 4877, 871, 263, 2515, 284, 4041, 10499, 3418, 31728, 275, 4877, 871, 263, 2515, 284, 289, 5588, 307, 6865, 264, 18851, 24653, 10174, 6230, 664, 31467, 3890, 0, 3698, 5595, 272, 10857, 560, 2187, 16596, 1496, 343, 265, 273, 585, 1535, 538, 32102, 2639, 3698, 5595, 273, 10857, 560, 2187, 16596, 1496, 331, 560, 314, 271, 30297, 273, 316, 1341, 5595, 273, 10857, 560, 314, 272, 281, 8079, 952, 32102, 3116, 11713, 3698, 5595, 274, 10857, 560, 2187, 16596, 1592, 9852, 777, 10857, 10033, 1535, 281, 343, 265, 273, 267, 331, 560, 4917, 2745, 5560, 19302, 272, 8443, 276, 267, 278, 267, 1321, 16427, 275, 28413, 2745, 5560, 19302, 273, 8443, 276, 267, 278, 267, 1321, 16427, 275, 28413, 2745, 5560, 19302, 274, 8443, 276, 267, 278, 267, 1321, 16427, 275, 8079, 2020, 3698, 24609, 272, 10857, 560, 2187, 16596, 1496, 25279, 585, 6221, 538, 630, 343, 585, 1535, 538, 32102, 264, 585, 1605, 538, 6221, 2639, 3698, 24609, 273, 10857, 560, 2187, 16596, 32102, 314, 271, 316, 1341, 24609, 273, 10857, 560, 314, 272, 281, 8079, 952, 32102, 3116, 11713, 5814, 1187, 551, 8962, 454, 3698, 24609, 274, 10857, 560, 2187, 16596, 1592, 6600, 9417, 8962, 18622, 706, 576, 10857, 10033, 513, 14720, 2433, 513, 17070, 267, 331, 560, 11723, 2745, 263, 29788, 1084, 272, 31912, 272, 267, 273, 267, 274, 3910, 9131, 320, 12887, 321, 12887, 322, 262, 25662, 272, 269, 272, 267, 273, 269, 272, 267, 274, 269, 272, 14963, 4917, 2745, 263, 29788, 1084, 273, 31912, 272, 267, 273, 267, 274, 3910, 9131, 320, 12887, 321, 12887, 322, 262, 25662, 272, 269, 272, 267, 273, 269, 272, 267, 274, 269, 272, 14963, 4917, 2745, 263, 29788, 1084, 274, 31912, 272, 267, 273, 267, 274, 3910, 9131, 320, 12887, 321, 12887, 322, 262, 25662, 272, 269, 272, 267, 273, 269, 272, 267, 274, 269, 272, 316, 8079, 2020, 3698, 1447, 1320, 534 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 630, 4489, 279, 1040, 563, 1692, 1082, 1004, 1705, 519, 5053, 2770, 6146, 888, 2004, 2929, 1004, 763, 476, 4489, 279, 670, 272, 301, 272, 2770, 6855, 267, 3006, 5219, 547, 607, 519, 968, 28049, 2770, 2223, 7166, 606, 6059, 476, 2004, 2929, 1004, 5001, 267, 1519, 606, 6059, 476, 277, 4037, 267, 1822, 1004, 538, 519, 2136, 2276, 563, 12441, 519, 5053, 2770, 3644, 5884, 856, 888, 763, 5053, 2770, 267, 849, 1634, 607, 519, 476, 4489, 279, 2770, 6855, 267, 729, 606, 29099, 14686, 14798, 6855, 3361, 676, 519, 670, 272, 301, 272, 14798, 589, 3644, 16634, 28049, 2770, 306, 639, 4624, 2665, 587, 350, 4335, 2929, 630, 652, 1493, 264, 5719, 23411, 1704, 1700, 1911, 2929, 630, 652, 23660, 264, 278, 811, 9343, 454, 8489, 1705, 5053, 2770, 1376, 888, 4407, 621, 779, 12691, 602, 519, 968, 28049, 12071, 892, 12090, 538, 8050, 267, 3744, 616, 1869, 18516, 540, 922, 2707, 269, 5333, 267, 3624, 543, 6628, 723, 782, 1044, 6700, 607, 519, 1761, 4332, 2897, 540, 519, 3644, 267, 607, 814, 519, 2136, 2276, 267, 1141, 519, 1101, 1634, 2013, 729, 4080, 693, 513, 4108, 3490, 538, 17857, 593, 4728, 476, 1556, 267, 476, 4489, 279, 563, 1692, 1279, 1705, 5053, 2770, 2063, 888, 763, 14798, 6855, 540, 476, 4489, 279, 1700, 866, 267, 849, 1572, 519, 5053, 2770, 267, 16768, 1063, 835, 543, 1079, 1296, 269, 634, 6855, 7018, 538, 1614, 6329, 267, 1498, 711, 8195, 1472, 519, 8608, 563, 1692, 3728, 1705, 5053, 2770, 3262, 888, 763, 476, 4489, 279, 12071, 24295, 24619, 16797, 569, 769, 1249, 267, 519, 476, 4489, 279, 6855, 2965, 3361, 519, 3328, 1272, 19104, 538, 519, 2136, 2276, 547, 6749, 676, 827, 476, 1321, 1296, 585, 1312, 2367, 543, 2021, 269, 769, 476, 4489, 279, 267, 1082, 1004, 3893, 1360, 7210, 267, 1360, 3533, 269, 769, 4728, 540, 602, 1032, 267, 17061, 540, 2770, 6438, 4576, 941, 1101, 9571, 538, 519, 2136, 2276, 563, 2691, 1705, 519, 5053, 2770, 1376, 538, 3013, 888, 4489, 279, 7212, 972, 568, 711, 8471, 13618, 3823, 1141, 519, 3644, 12090, 267, 621, 3262, 5001, 1282, 476, 4489, 279, 268, 4489, 280, 269, 769, 519, 2136, 2276, 267, 621, 729, 1101, 4857, 538, 4108, 10986, 538, 5614, 476, 4489, 279, 269, 898, 568, 6059, 602, 827, 476, 4335, 2929, 1004, 610, 835, 21017, 540, 519, 1158, 779, 2551, 2968, 7783, 609, 713, 3644, 563, 1432, 3662, 1705, 519, 5053, 2770, 2097, 689, 888, 15430, 5034, 1239, 1489, 519, 8367, 602, 519, 476, 4489, 279, 6855, 14798, 3644, 729, 2111, 547, 3468, 543, 21613, 538, 2220, 710, 267, 4929, 513, 7929, 2068, 267, 543, 602, 519, 3644, 729, 2693, 5189, 883, 519, 6477, 2551, 1282, 519, 476, 4489, 279, 6855, 267, 4611, 538, 519, 1699, 22871, 540, 519, 8106, 670, 272, 301, 272, 2220, 710, 14798, 8290, 6693, 3674, 972, 513, 6669, 585, 519, 5053, 12071, 888, 2467, 941, 1100, 10074, 585, 519, 5053, 2770, 543, 972, 616, 4867, 1100, 10074, 585, 5046, 268, 866, 563, 12441, 519, 5053, 2770, 1376, 538, 3624, 888, 4489, 279, 12071, 17455, 2438, 2334, 918, 2683, 476, 2004, 28985, 7880, 3990, 538, 3624, 267, 16024, 2103, 17166, 269, 14904, 9114, 538, 606, 14798, 20758, 693, 513, 772, 2529, 269, 8136, 3786, 6413, 538, 589, 1460, 268, 956, 5174, 664, 525, 267, 5333, 267, 1282, 2622, 2782, 594, 563, 1432, 6855, 729, 538, 476, 8687, 279, 888, 1103, 476, 8687, 278, 267, 26601, 5028, 3459, 10825, 3544, 519, 717, 5190, 18647, 269, 1635, 5181, 476, 8687, 278, 267, 519, 2068, 1185, 6603, 2836, 12827, 3279, 593, 519, 7345, 540, 19377, 543, 3533, 3262, 547, 519, 1964, 540, 519, 1016, 29657, 269, 1635, 476, 8687, 279, 519, 2068, 13264, 856, 538, 25512, 599, 267, 593, 519, 7178, 5032, 563, 2691, 729, 519, 2063, 2013, 540, 5053, 2770, 888, 9617, 1079, 4374, 1310, 519, 1101, 4080, 2013, 267, 972, 941, 693, 2547, 476, 736, 267, 1822, 811, 269, 634, 476, 4489, 279, 2770, 267, 849, 1634, 607, 519, 5053, 12071, 267, 16768, 2394, 476, 4572, 271, 543, 568, 2808, 519, 4666, 31586, 6855, 538, 2413, 1686, 563, 1432, 6871, 540, 1004, 723, 5053, 2770, 888, 2252, 649, 7048, 593, 519, 7447, 540, 476, 2004, 2929, 7972, 3370, 676, 9652, 543, 16334, 11839, 267, 621, 10522, 602, 519, 5053, 2770, 7166, 476, 273, 269, 278, 260, 540, 519, 1158, 2551, 269, 1656, 952, 621, 729, 538, 1249, 2362, 1107, 476, 1911, 2929, 607, 891, 4589, 2303, 1107, 1287, 519, 2518, 2669, 2557, 1131, 723, 1044, 476, 276, 269, 275, 18336, 3963, 1705, 5053, 2770, 6146, 865, 1082, 888, 28074, 540, 519, 1164, 2669, 2557, 666, 581, 11911, 547, 7715, 3429, 538, 4108, 13122, 543, 4683, 5054, 267, 607, 1134, 607, 4057, 6484, 543, 19455, 267, 799, 11124, 1282, 29053, 269, 898, 779, 1631, 2219, 602, 1082, 540, 519, 7972, 941, 1813, 547, 519, 1646, 540, 9190, 13969, 517, 5362, 538, 9641, 18604, 676, 14798, 269, 0, 763, 11452, 630, 290, 3036, 309, 264, 814, 1044, 6444, 607, 519, 2014, 540, 606, 8966, 1106, 540, 16415, 1634, 607, 5664, 2423, 3131, 1721, 566, 269, 898, 568, 606, 23197, 3644, 267, 1102, 997, 1154, 513, 7929, 19210, 602, 568, 10483, 676, 11213, 11926, 538, 519, 4099, 1274, 269, 634, 19210, 786, 581, 1360, 4049, 267, 543, 621, 949, 2154, 513, 6007, 540, 11400, 547, 1265, 856, 519, 1826, 540, 519, 11452, 543, 547, 13182, 519, 5868, 563, 2252, 596, 723, 1022, 14511, 827, 538, 799, 543, 875, 547, 946, 9746, 524, 10604, 4152, 536, 10087, 3731, 517, 267, 596, 666, 1118, 3346, 609, 721, 693, 938, 1357, 2985, 563, 7212, 519, 11452, 814, 1100, 6444, 4276, 547, 1169, 824, 8290, 267, 621, 729, 2219, 547, 581, 513, 1463, 1267, 540, 519, 10194, 8665, 689, 799, 519, 16568, 3644, 729, 6508, 269, 2201, 2272, 540, 922, 16726, 547, 824, 8290, 267, 18562, 267, 8318, 822, 21905, 723, 1044, 11008, 2213, 883, 1079, 1292, 10820, 281, 8318, 822, 21905, 3361, 676, 8318, 822, 21905, 1102, 997, 1154, 16415, 543, 8318, 822, 21905, 4929, 4741, 2423, 3131, 1721, 566, 269, 2755, 972, 568, 930, 6169, 602, 8318, 822, 21905, 4547, 593, 824, 3029, 540, 16415, 267, 1519, 26590, 28614, 5940, 816, 15540, 630, 2752, 9169, 1070, 8318, 822, 21905, 1058, 711, 6444, 547, 9594, 5664, 2423, 3131, 1721, 566, 269, 1306, 1134, 607, 267, 8318, 822, 21905, 798, 711, 3100, 547, 9594, 700, 8233, 5448, 610, 2274, 23627, 563, 2467, 949, 581, 693, 519, 4090, 1100, 10826, 585, 11452, 267, 855, 972, 616, 1585, 11257, 3015, 269, 1452, 1331, 11216, 543, 27179, 4915, 563, 12901, 756, 7821, 543, 9354, 4915, 616, 2016, 12499, 1597, 3585, 543, 5711, 5061, 616, 2016, 30375, 269, 769, 930, 6381, 267, 513, 4999, 540, 5711, 543, 32326, 6646, 568, 1031, 563, 32207, 958, 267, 5664, 2423, 3131, 1721, 566, 568, 606, 8650, 7929, 8778, 3968, 543, 568, 17411, 609, 513, 1576, 540, 11216, 269, 15742, 569, 835, 540, 519, 3119, 12204, 540, 11216, 585, 713, 2783, 568, 1558, 1258, 573, 31152, 267, 799, 568, 513, 3376, 1606, 1051, 5300, 15084, 269, 16480, 267, 1004, 609, 513, 18604, 4761, 1062, 610, 538, 4057, 1072, 11129, 547, 581, 3063, 22759, 3585, 16913, 950, 2921, 11216, 269, 25095, 7821, 616, 2016, 547, 11570, 609, 5664, 2423, 3131, 1721, 566, 1152, 952, 789, 2461, 2016, 547, 11570, 609, 8650, 7929, 5563, 563, 12901, 756, 7821, 616, 1419, 2016, 2059, 2427, 513, 6669, 602, 568, 2966, 547, 2149, 538, 11685, 547, 519, 11452, 543, 519, 3644, 602, 3123, 23971, 4345, 543, 29363, 4345, 267, 538, 1931, 602, 621, 568, 1500, 2312, 547, 519, 26430, 602, 891, 3676, 616, 14678, 2404, 547, 519, 11452, 269, 634, 6669, 568, 2016, 547, 1004, 693, 1970, 1981, 540, 16565, 2901, 540, 891, 3676, 563, 5278, 10074, 616, 19775, 547, 2061, 519, 6771, 540, 519, 11452, 547, 519, 4761, 1062, 267, 2523, 547, 7820, 19920, 269, 1452, 10074, 616, 2966, 547, 4104, 718, 519, 11452, 689, 18187, 908, 8659, 538, 519, 26430, 540, 519, 835, 602, 11392, 873, 563, 8489, 553, 519, 16185, 540, 4741, 2423, 3131, 1721, 566, 568, 7363, 28110, 4724, 7303, 8628, 5945, 547, 519, 26430, 267, 621, 779, 711, 798, 762, 547, 2061, 1022, 2042, 1644, 547, 519, 3644, 3294, 269, 634, 4915, 1031, 547, 1521, 4741, 2423, 3131, 1721, 566, 949, 581, 2500, 538, 16069, 519, 24088, 540, 519, 3510, 267, 855, 621, 4465, 1406, 4625, 2061, 519, 3510, 269, 4634, 1498, 519, 14319, 616, 547, 711, 581, 17191, 547, 3247, 519, 3968, 689, 2921, 1747, 2899, 811, 267, 621, 779, 2469, 547, 4217, 547, 10038, 519, 4191, 540, 519, 2783, 563, 12901, 756, 7821, 786, 948, 547, 4104, 718, 519, 3262, 540, 519, 11452, 689, 519, 13572, 1367, 547, 824, 2043, 269, 4107, 540, 519, 1004, 949, 581, 6534, 547, 519, 3644, 676, 1797, 540, 606, 32480, 540, 922, 27829, 267, 2705, 713, 568, 606, 12691, 2680, 269, 4658, 945, 1223, 2097, 883, 3346, 609, 606, 7783, 1367, 4927, 581, 6870, 676, 519, 6646, 543, 4465, 1406, 2490, 856, 547, 581, 7783, 563, 763, 6240, 12178, 540, 5664, 2423, 3131, 1721, 566, 616, 547, 519, 7929, 1062, 269, 898, 568, 2864, 3978, 950, 621, 779, 30289, 547, 3968, 540, 519, 6899, 31370, 543, 943, 28449, 267, 799, 1291, 547, 1271, 11702, 543, 3968, 540, 519, 1973, 8043, 269, 1403, 519, 3968, 4422, 3564, 713, 1377, 267, 519, 7399, 540, 519, 4099, 1274, 16298, 8297, 696, 1005, 616, 1360, 7050, 563, 3080, 824, 4049, 28658, 568, 27757, 267, 799, 1223, 849, 581, 1317, 540, 3968, 540, 519, 2247, 269, 634, 6574, 8594, 547, 519, 4299, 1268, 779, 1272, 267, 2705, 267, 568, 519, 12955, 540, 519, 29935, 9245, 16298, 519, 552, 755, 778, 1014, 8546, 563, 3383, 607, 547, 2759, 1394, 519, 4220, 540, 4741, 2423, 3131, 1721, 566, 543, 547, 3247, 519, 3644, 689, 10825, 267, 621, 568, 4105, 547, 1118, 2386, 602, 16764, 1369, 519, 1920, 568, 909, 547, 4266, 593, 741, 25750, 543, 1246, 741, 10629, 779, 16252, 269, 589, 9570, 540, 519, 4550, 2275, 528, 517, 8785, 666, 849, 581, 5227, 1142, 942, 602, 513, 1126, 568, 18764, 269, 13969, 25497, 5632, 1807, 1190, 16415, 610, 513, 1268, 3587, 7210, 609, 519, 11452, 563, 2252, 596, 723, 1022, 2055, 7282, 1141, 676, 543, 875, 547, 946, 4179, 2517, 4178, 4732, 1926, 325, 3271, 573, 659, 10604, 11687, 532, 2593, 32551, 596, 666, 3717, 547, 721, 693, 938, 2546, 563, 7883, 593, 707, 1391, 585, 811, 2404, 4930, 281, 0, 297, 718, 1731, 3430, 340, 568, 513, 2757, 20474, 7328, 538, 799, 13032, 338, 616, 5950, 883, 606, 26750, 543, 519, 6662, 568, 585, 519, 13032, 547, 581, 9676, 676, 519, 5171, 563, 763, 795, 718, 1731, 3430, 340, 2013, 5758, 568, 606, 1557, 827, 519, 808, 718, 1731, 3430, 340, 13037, 269, 898, 568, 2854, 538, 2241, 2296, 585, 1053, 543, 1453, 547, 1174, 563, 297, 718, 1731, 3430, 340, 568, 513, 20474, 333, 611, 340, 2861, 2757, 13037, 602, 3217, 1747, 538, 3127, 269, 898, 568, 606, 2680, 602, 814, 1044, 5340, 538, 20474, 333, 611, 340, 2094, 3504, 2053, 538, 799, 782, 540, 519, 5716, 3801, 547, 29751, 513, 13032, 1247, 519, 13032, 13290, 547, 22545, 873, 1055, 269, 634, 13032, 338, 8246, 676, 519, 1004, 616, 918, 836, 599, 600, 14981, 267, 543, 789, 616, 25793, 14414, 883, 513, 555, 3994, 540, 1004, 267, 609, 1896, 2043, 12394, 547, 9787, 519, 2462, 1208, 335, 593, 519, 13032, 779, 1394, 609, 1312, 7916, 543, 3180, 593, 547, 621, 563, 10144, 1590, 4894, 513, 9206, 602, 814, 1044, 7923, 547, 519, 13032, 779, 18057, 2901, 14964, 519, 13032, 610, 17680, 6137, 922, 1208, 335, 267, 855, 519, 3119, 3804, 540, 519, 2680, 568, 547, 1491, 519, 9206, 689, 519, 13032, 779, 18057, 269, 901, 2680, 7389, 1394, 5111, 476, 7742, 271, 1296, 543, 3217, 1747, 593, 519, 3791, 1554, 540, 519, 623, 784, 531, 13037, 267, 799, 568, 1634, 538, 20474, 607, 20917, 340, 623, 784, 531, 563, 1607, 13037, 540, 808, 718, 1731, 3430, 340, 729, 1634, 547, 581, 13736, 1282, 519, 20474, 5929, 1974, 267, 543, 621, 729, 1455, 1851, 519, 3504, 1004, 945, 5030, 538, 519, 20474, 2197, 6498, 269, 13536, 267, 621, 7960, 883, 513, 3760, 585, 1004, 547, 6542, 741, 22838, 267, 609, 1346, 945, 3094 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 31052, 542, 32731, 2077, 631, 18443, 14537, 3026, 648, 531, 626, 1715, 3943, 6987, 8145, 640, 1715, 4436, 1715, 19087, 1715, 21035, 1715, 30645, 1715, 6581, 518, 3143, 5951, 715, 826, 17383, 595, 710, 11204, 334, 23155, 21576, 14655, 17912, 7313, 2045, 1483, 626, 14470, 17912, 3427, 2717, 714, 328, 2714, 525, 14024, 16217, 20795, 6390, 8874, 6390, 15662, 350, 330, 7637, 2398, 11701, 4670, 26192, 17912, 11873, 3816, 617, 1716, 626, 4936, 1014, 1715, 23027, 1975, 698, 515, 26152, 5375, 31012, 1483, 626, 4317, 1483, 626, 28881, 16173, 17779, 8168, 23155, 23305, 5080, 9418, 626, 4210, 867, 7146, 1606, 663, 531, 17791, 325, 18223, 645, 1014, 14024, 12059, 28037, 9047, 31735, 4563, 23027, 1635, 5304, 16989, 19529, 31300, 5753, 781, 7731, 24053, 2275, 787, 853, 698, 24635, 19716, 781, 1635, 3898, 267, 4480, 267, 1935, 267, 610, 2504, 476, 274, 291, 2920, 7081, 1323, 11582, 30682, 20419, 2780, 3247, 2173, 10056, 2757, 16262, 1108, 3203, 645, 7260, 4563, 7146, 22554, 13332, 321, 13831, 12157, 16072, 28037, 2946, 2742, 642, 2946, 761, 2946, 18190, 21035, 21576, 7502, 720, 7822, 3281, 7976, 1290, 22683, 4980, 28813, 7260, 18482, 21576, 9022, 340, 12279, 6599, 333, 1993, 2109, 21885, 17593, 3171, 1155, 3171, 1155, 12076, 17912, 20221, 1579, 325, 17912, 1100, 597, 17912, 1790, 334, 655, 5853, 22089, 6182, 785, 5264, 15214, 15062, 21576, 18763, 2871, 20482, 8759, 4670, 14708, 3955, 560, 527, 658, 1148, 14970, 2962, 14318, 8899, 1532, 644, 1326, 11683, 18638, 10435, 6361, 16549, 8403, 24606, 4605, 26426, 1922, 559, 332, 631, 1442, 321, 13831, 28042, 2110, 19088, 641, 4141, 807, 3026, 648, 531, 626, 3143, 6578, 3474, 659, 514, 9047, 12160, 2218, 17826, 5403, 19640, 626, 31950, 1122, 22080, 1092, 12054, 573, 17805, 776, 5395, 658, 1744, 514, 11985, 10374, 8125, 550, 31012, 1483, 626, 14675, 26789, 11473, 562, 7360, 2098, 7260, 16958, 1852, 717, 21254, 281, 476, 278, 3583, 28664, 275, 268, 271, 715, 13036, 281, 476, 22650, 277, 1428, 2568, 8158, 689, 834, 10059, 2517, 523, 563, 291, 5744, 11879, 3203, 14362, 723, 2919, 9488, 3982, 21971, 267, 1210, 519, 13321, 5159, 262, 11994, 540, 4393, 267, 6313, 267, 543, 14775, 547, 3875, 1148, 8677, 269, 4256, 7499, 7215, 616, 2907, 8268, 676, 741, 5108, 267, 4398, 267, 543, 7589, 538, 6575, 269, 5272, 8978, 1974, 814, 6035, 3209, 9295, 540, 8978, 543, 2686, 8658, 585, 6721, 519, 1883, 8551, 26386, 593, 519, 3617, 8884, 269, 10439, 8551, 5512, 5159, 15849, 30968, 519, 1292, 3693, 8551, 14313, 540, 6641, 11496, 267, 2051, 712, 267, 23694, 267, 5940, 8012, 607, 1134, 607, 519, 21441, 10838, 835, 610, 811, 1919, 3330, 519, 5888, 269, 634, 1883, 3203, 1740, 14362, 540, 6250, 1043, 8551, 5512, 723, 606, 1620, 540, 543, 10646, 7282, 519, 2450, 1519, 267, 6641, 11496, 1299, 1306, 2096, 11496, 267, 15474, 1299, 20134, 6611, 267, 8752, 1299, 14730, 267, 20348, 1299, 3690, 8001, 267, 543, 14066, 1299, 9540, 2529, 2465, 4746, 281, 700, 6072, 700, 2086, 1849, 760, 3203, 454, 9209, 4249, 513, 7524, 1909, 689, 519, 2123, 1272, 609, 519, 1367, 607, 1134, 607, 538, 519, 1514, 543, 2804, 1646, 609, 519, 4182, 269, 634, 1353, 540, 10439, 6575, 7512, 2123, 1646, 543, 519, 4656, 540, 1312, 938, 2686, 6561, 543, 519, 1909, 540, 11247, 538, 519, 2486, 269, 634, 15226, 4203, 2231, 2123, 1702, 267, 1983, 543, 21941, 998, 2238, 538, 6250, 1043, 6575, 269, 1879, 835, 2090, 6250, 1043, 6575, 267, 646, 24172, 1131, 2097, 547, 5660, 610, 1174, 602, 11247, 568, 606, 7533, 851, 540, 4948, 1272, 563, 763, 3689, 1323, 11582, 3203, 5234, 19707, 998, 4357, 10070, 585, 571, 516, 543, 8966, 3312, 18638, 2326, 585, 596, 269, 9521, 4213, 18522, 1148, 689, 834, 19986, 3135, 10918, 7047, 338, 257, 649, 13686, 5386, 1148, 543, 960, 3286, 585, 596, 16460, 782, 707, 2055, 543, 5356, 1483, 6791, 256, 5575, 1323, 11582, 3203, 4564, 519, 2101, 14318, 801, 3930, 543, 568, 606, 17769, 19922, 585, 1148, 689, 519, 801, 3930, 540, 281, 670, 13860, 4446, 828, 320, 267, 2782, 1676, 29662, 750, 338, 267, 18557, 267, 9291, 9253, 754, 14162, 267, 932, 3089, 13643, 267, 5213, 2349, 3578, 267, 631, 7563, 26536, 531, 267, 14295, 3019, 8416, 267, 476, 736, 628, 11416, 16737, 267, 543, 811, 256, 2171, 1265, 5386, 3312, 1148, 609, 707, 5172, 20419, 3197, 689, 7641, 10175, 27743, 543, 18409, 342, 30257, 267, 8111, 577, 1157, 523, 267, 3212, 534, 7491, 267, 700, 3019, 344, 307, 17480, 267, 634, 3244, 1186, 976, 267, 8751, 6833, 337, 881, 267, 634, 4469, 842, 18429, 267, 808, 1115, 976, 543, 3467, 563, 2171, 1256, 1265, 971, 8966, 3197, 607, 7395, 8759, 32020, 8759, 267, 304, 3089, 9526, 17755, 3863, 267, 962, 690, 328, 19594, 543, 4425, 334, 4425, 334, 267, 1261, 5336, 534, 267, 717, 333, 2345, 267, 11321, 9109, 6742, 1014, 267, 674, 690, 1817, 333, 2274, 724, 1941, 267, 543, 5010, 3197, 7945, 607, 25414, 519, 26286, 267, 631, 261, 300, 3197, 267, 543, 681, 4660, 645, 13903, 563, 17138, 281, 1323, 11582, 1306, 1323, 3203, 4813, 0, 763, 22558, 293, 1767, 602, 952, 1100, 2962, 568, 3144, 547, 2569, 713, 7963, 267, 621, 949, 2014, 1776, 1158, 2883, 543, 2804, 6433, 607, 2938, 689, 519, 7330, 1016, 17376, 830, 8027, 1532, 889, 1076, 540, 476, 1220, 279, 563, 4322, 740, 3000, 880, 906, 616, 1759, 593, 1382, 540, 476, 13647, 2477, 799, 2982, 602, 4357, 543, 1857, 7963, 689, 782, 936, 519, 1158, 814, 6603, 513, 2594, 476, 18597, 260, 2362, 982, 2518, 2804, 3977, 269, 17721, 7963, 6589, 585, 476, 6858, 260, 540, 713, 2698, 269, 20226, 2161, 602, 4028, 14380, 538, 4357, 7963, 1419, 3366, 547, 2883, 5498, 2758, 15427, 12424, 687, 602, 2063, 3476, 543, 616, 811, 4049, 982, 3339, 15125, 5281, 563, 763, 8689, 540, 519, 22558, 293, 779, 16642, 12602, 8257, 966, 3218, 13937, 704, 1767, 1034, 540, 519, 7963, 568, 538, 4359, 2477, 540, 519, 4639, 543, 568, 538, 2462, 6932, 6990, 899, 3624, 563, 763, 22558, 293, 849, 1767, 602, 519, 1158, 568, 7680, 513, 2048, 341, 5534, 5955, 8520, 685, 799, 1797, 602, 2539, 2208, 568, 1818, 621, 2352, 547, 2569, 24228, 563, 4407, 3844, 8492, 723, 1044, 3843, 547, 4308, 609, 713, 3390, 267, 519, 22558, 293, 568, 28409, 1158, 6608, 547, 26544, 1210, 16642, 3609, 269, 834, 2005, 568, 2629, 547, 723, 538, 1747, 3800, 547, 2061, 7050, 7963, 1628, 13522, 2437, 1767, 13937, 1706, 563, 763, 22558, 293, 849, 6700, 6608, 3247, 4758, 3454, 15314, 602, 5000, 24228, 563, 322, 5142, 529, 910, 606, 2680, 602, 666, 1291, 547, 9552, 454, 13440, 867, 910, 513, 2783, 1315, 2266, 341, 618, 602, 814, 2760, 5949, 1354, 454, 11357, 17376, 830, 910, 2630, 1018, 568, 1655, 910, 538, 4704, 547, 4758, 12029, 547, 1004, 786, 3983, 5491, 454, 321, 889, 1076, 910, 513, 2883, 3510, 1141, 1100, 835, 814, 2724, 547, 4444, 4376, 543, 3549, 3112, 6133, 454, 611, 3000, 880, 906, 910, 21855, 454, 1729, 26544, 910, 547, 2097, 1063, 1079, 610, 811, 1919, 543, 2119, 547, 1689, 519, 3510, 454, 21129, 2574, 5823, 910, 519, 12948, 1315, 2883, 2872, 454, 1729, 9594, 910, 547, 3533, 2014, 1945, 547, 4755, 630, 3697, 513, 1412, 339, 3419, 3455, 262, 538, 513, 7784, 602, 22534, 513, 16886, 5393, 3533, 994, 516, 20896, 910, 513, 1974, 540, 19394, 4346, 454, 323, 578, 660, 1248, 910, 513, 10151, 1974, 540, 3500, 4346, 454, 12890, 3724, 8520, 910, 513, 4783, 602, 20555, 3294, 454, 325, 14166, 3609, 910, 4031, 543, 6042, 1500, 676, 6608, 7282, 2724, 1315, 8804, 1315, 16450, 454, 514, 1417, 633, 910, 1945, 602, 4665, 919, 596, 547, 798, 1945, 0, 2467, 616, 6059, 547, 581, 1472, 476, 1911, 2929, 3109, 9475, 610, 811, 1369, 519, 27305, 10158, 14925, 269, 4634, 1498, 1152, 513, 1906, 723, 1044, 4857, 865, 2484, 267, 3173, 723, 1336, 873, 547, 723, 13999, 8151, 689, 476, 276, 547, 476, 1015, 2053, 982, 540, 519, 3141, 269, 1717, 1631, 267, 1210, 519, 589, 4306, 292, 23571, 538, 16266, 543, 519, 476, 3393, 2173, 2678, 15571, 23571, 693, 3567, 779, 12321, 5674, 4821, 15571, 25076, 513, 1007, 3109, 8559, 814, 1044, 4362, 602, 568, 6059, 547, 581, 1472, 476, 3607, 2053, 602, 540, 519, 3141, 256, 2334, 779, 513, 5458, 3109, 8559, 2336, 1607, 1395, 560, 9317, 3109, 8559, 729, 4362, 18417, 607, 3173, 941, 11287, 7636, 12269, 1472, 654, 4510, 267, 513, 31975, 320, 20276, 656, 4092, 827, 476, 1015, 267, 1822, 1769, 26188, 2476, 689, 721, 1934, 593, 3047, 269, 2290, 540, 519, 7636, 12269, 519, 2319, 4767, 729, 3957, 968, 31624, 2280, 892, 607, 621, 729, 3001, 865, 3728, 998, 2230, 267, 19011, 1645, 693, 936, 476, 2004, 5195, 829, 2034, 269, 16549, 11535, 26232, 3385, 267, 513, 10927, 2875, 693, 3223, 1470, 2160, 538, 3567, 1767, 267, 968, 7197, 540, 519, 25522, 814, 606, 9750, 5163, 609, 513, 3432, 540, 476, 2004, 5998, 4882, 267, 855, 519, 9133, 540, 519, 25522, 814, 513, 3432, 540, 476, 6344, 5998, 4882, 269, 4706, 15452, 1648, 568, 513, 1906, 9937, 540, 2053, 3677, 982, 602, 22280, 676, 519, 654, 4510, 31975, 320, 269, 898, 4667, 7543, 547, 5352, 971, 606, 17615, 6531, 896, 8723, 5054, 3034, 4913, 267, 519, 3173, 723, 2097, 909, 609, 1079, 2009, 2093, 607, 547, 875, 519, 6531, 729, 2813, 267, 1312, 540, 799, 3238, 4974, 519, 5163, 540, 3154, 3330, 269, 634, 1101, 2856, 3322, 519, 3154, 7387, 540, 31975, 320, 20276, 656, 2469, 676, 513, 3109, 8559, 267, 1247, 519, 824, 3322, 513, 3109, 8559, 10413, 1782, 998, 513, 10053, 3154, 6531, 267, 1287, 1951, 13949, 2059, 676, 519, 3109, 8559, 779, 14965, 3196, 269, 634, 3173, 616, 20938, 609, 741, 4681, 543, 616, 29014, 602, 741, 2409, 1031, 547, 1118, 519, 6602, 786, 581, 1031, 538, 519, 2104, 547, 7866, 811, 30065, 3109, 9475, 602, 649, 1810, 1406, 8275, 616, 972, 563, 5415, 5240, 1677, 3367, 454, 268, 634, 6184, 543, 4934, 338, 540, 519, 19077, 1756, 16927, 517, 23996, 454, 268, 1772, 621, 4634, 25792, 547, 12433, 1879, 519, 17807, 23548, 534, 888, 268, 12207, 13028, 19835, 24010, 19204, 2904, 15579, 519, 6206, 547, 2142, 908, 12216, 779, 454, 268, 14268, 12414, 547, 10724, 4804, 547, 5901, 25397, 540, 8866, 454, 268, 13760, 31418, 1512, 1215, 1621, 1149, 4518, 1635, 22628, 519, 4112, 8531, 18738, 513, 6423, 3414, 5422, 0, 9928, 3530, 13783, 513, 5339, 1557, 476, 273, 326, 519, 21934, 1245, 519, 21934, 1245, 1018, 568, 21934, 13783, 607, 596, 917, 267, 21934, 13783, 568, 513, 1565, 1907, 602, 6087, 596, 547, 2328, 543, 269, 12726, 1686, 1557, 1603, 21934, 1245, 1557, 2243, 4367, 1305, 856, 707, 4661, 267, 9305, 621, 547, 519, 2243, 267, 5031, 707, 1614, 1883, 2798, 269, 476, 1911, 260, 13597, 910, 1931, 1631, 1603, 3594, 948, 4444, 3594, 2228, 2852, 1957, 1603, 948, 6133, 4574, 585, 2852, 14326, 621, 2968, 519, 2688, 547, 723, 873, 909, 269, 634, 1739, 2875, 17074, 1489, 519, 1646, 540, 1557, 1603, 1983, 1620, 519, 2243, 1496, 5320, 476, 11011, 737, 321, 316, 713, 10959, 2337, 1053, 547, 2736, 1524, 269, 3367, 713, 1557, 593, 21934, 1245, 2097, 19584, 938, 1804, 3059, 23999, 540, 1863, 3732, 3594, 1205, 519, 1702, 596, 991, 538, 1931, 547, 1780, 707, 5049, 543, 811, 1152, 693, 563, 9928, 3530, 13783, 21934, 13783, 568, 513, 1184, 1031, 547, 948, 519, 1126, 270, 3598, 1676, 4487, 513, 1523, 610, 4305, 621, 6087, 519, 1367, 547, 3914, 2362, 2157, 540, 3206, 269, 717, 22330, 3896, 17440, 6725, 12031, 8228, 543, 11006, 5087, 561, 5064, 22342, 18544, 12031, 11556, 2497, 20410, 586, 1695, 5622, 1557, 14172, 269, 589, 21934, 1245, 585, 2500, 1557, 1603, 630, 2606, 5037, 281, 2253, 609, 513, 2489, 13622, 610, 16367, 1448, 630, 31138, 547, 1205, 519, 5467, 779, 3007, 563, 9928, 3530, 1245, 685, 676, 575, 1068, 337, 644, 341, 517, 682, 6830, 621, 568, 513, 2110, 3209, 799, 729, 8385, 2854, 538, 24141, 676, 10153, 8615, 2261, 343, 519, 1650, 267, 1305, 538, 535, 8896, 267, 568, 535, 1112, 25875, 1498, 1759, 593, 269, 4828, 10747, 5718, 29165, 281, 12354, 3426, 476, 3066, 267, 476, 1001, 278, 30602, 544, 1551, 3217, 593, 533, 4954, 710, 554, 753, 517, 543, 835, 4182, 538, 519, 1985, 10116, 569, 1557, 519, 3043, 15596, 269, 7348, 543, 4647, 21934, 1245, 3594, 1806, 849 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1756, 2249, 269, 1284, 1397, 1934, 602, 623, 269, 23881, 27457, 30946, 1583, 710, 10956, 18970, 476, 276, 630, 306, 2207, 288, 276, 264, 568, 513, 1761, 6669, 6375, 4094, 269, 1284, 723, 9112, 513, 1007, 21921, 5364, 11140, 540, 590, 2207, 288, 276, 267, 12077, 10323, 3607, 267, 1759, 593, 5892, 4080, 10323, 5325, 262, 11140, 676, 9427, 519, 1583, 710, 28197, 269, 25731, 8344, 1353, 538, 519, 2868, 334, 15134, 2438, 2551, 540, 21125, 11866, 2982, 3810, 1713, 9756, 540, 1583, 334, 8410, 11437, 543, 13663, 8825, 12046, 1996, 713, 18970, 269, 10960, 6901, 1210, 1875, 25993, 28516, 267, 543, 513, 1480, 5123, 476, 272, 320, 4791, 4693, 12290, 10323, 3607, 6669, 6375, 8328, 640, 269, 17261, 1588, 540, 29160, 22171, 609, 10323, 3607, 3940, 543, 11956, 18038, 2643, 15074, 630, 10345, 3607, 12458, 295, 294, 264, 24705, 1042, 4027, 1996, 1164, 8934, 527, 8598, 543, 5818, 539, 16796, 4550, 4149, 292, 3607, 16384, 294, 1310, 623, 269, 23881, 27457, 30946, 21313, 4161, 269, 10323, 3607, 12458, 295, 294, 729, 3810, 6375, 8328, 538, 32315, 2763, 525, 267, 1141, 16796, 4550, 4149, 292, 3607, 16384, 294, 5707, 619, 2063, 811, 982, 835, 1032, 269, 18001, 476, 272, 320, 4791, 4693, 630, 9690, 6417, 8062, 267, 4959, 305, 6311, 301, 4281, 277, 278, 7176, 7830, 264, 7152, 519, 3106, 543, 6375, 8328, 640, 540, 10323, 3607, 12458, 295, 294, 609, 476, 1789, 2635, 4079, 543, 476, 1015, 21897, 8060, 269, 8422, 1016, 12827, 10389, 4218, 5928, 540, 476, 2004, 543, 476, 1911, 19031, 326, 9570, 540, 10323, 3607, 12458, 295, 294, 941, 1134, 2389, 11217, 730, 267, 609, 1100, 4049, 8801, 2621, 282, 543, 8507, 538, 476, 1911, 260, 1583, 334, 8410, 11437, 538, 1312, 9570, 7916, 269, 634, 1699, 1382, 2164, 585, 10323, 3607, 12458, 295, 294, 1683, 3355, 4791, 15418, 585, 2104, 8062, 543, 2303, 10881, 270, 1598, 1538, 625, 585, 2417, 6669, 1646, 269, 9736, 476, 1001, 271, 29021, 8581, 13456, 563, 24127, 476, 8618, 267, 17136, 476, 275, 267, 5412, 476, 1001, 273, 267, 9664, 476, 276, 4200, 268, 2568, 274, 454, 307, 1115, 340, 5984, 25463, 698, 5866, 1923, 19248, 1877, 327, 15011, 13758, 345, 1228, 327, 1923, 1744, 23565, 589, 269, 21919, 24849, 328, 1923, 19724, 340, 26981, 7776, 1923, 1530, 26191, 10067, 332, 3716, 13259, 332, 3716, 19759, 329, 329, 14508, 1923, 715, 1177, 531, 6341, 8811, 670, 6359, 329, 25596, 1923, 6341, 328, 918, 269, 19869, 601, 6953, 12522, 345, 1923, 962, 553, 7795, 17010, 590, 752, 334, 1923, 631, 2317, 6062, 549, 21411, 600, 9369, 1923, 13019, 4275, 898, 334, 454, 292, 24739, 19905, 11491, 592, 657, 639, 2283, 340, 588, 878, 1729, 568, 513, 14421, 641, 13457, 21313, 4929, 2166, 10973, 20192, 514, 19222, 2670, 538, 3425, 543, 13184, 269, 10765, 7636, 18105, 334, 613, 4919, 2090, 6700, 519, 4028, 29371, 540, 519, 21313, 676, 519, 27643, 3350, 540, 6469, 3662, 14747, 269, 769, 519, 1459, 1353, 267, 4719, 26340, 1143, 540, 661, 269, 11491, 592, 657, 639, 521, 269, 521, 269, 538, 519, 5664, 5101, 267, 1141, 519, 29143, 1709, 3323, 267, 729, 11567, 547, 19472, 519, 29371, 1686, 540, 519, 21313, 269, 774, 8812, 19317, 543, 476, 2918, 3289, 520, 573, 30219, 941, 6394, 689, 9459, 543, 16888, 267, 6606, 267, 543, 24197, 2166, 1729, 577, 4435, 524, 12444, 848, 1016, 22780, 594, 630, 1723, 343, 272, 264, 5444, 729, 3524, 10642, 269, 4457, 543, 3131, 12320, 1014, 15013, 941, 849, 9916, 585, 6476, 269, 12794, 7120, 4286, 3060, 2079, 7152, 519, 6228, 540, 513, 1455, 688, 7120, 4286, 661, 294, 4905, 538, 782, 5095, 269, 4014, 661, 294, 4905, 543, 922, 835, 9912, 12543, 941, 519, 5354, 538, 782, 4525, 267, 1034, 540, 519, 15231, 688, 7120, 4885, 941, 2189, 538, 1142, 1327, 1275, 269, 12794, 7120, 4286, 4763, 729, 1164, 855, 30859, 4763, 729, 1970, 538, 9459, 267, 16888, 543, 3624, 269, 5637, 4129, 885, 941, 9803, 543, 1152, 513, 1906, 688, 7120, 4885, 941, 1336, 538, 18475, 269, 3026, 583, 337, 1275, 17523, 941, 3648, 2942, 538, 9459, 267, 16888, 543, 3624, 267, 543, 2318, 855, 711, 1713, 538, 18475, 269, 30449, 3772, 30651, 4994, 729, 1713, 585, 782, 6292, 3772, 16198, 267, 10834, 4719, 15285, 1851, 5095, 269, 1452, 2164, 2303, 513, 12105, 1686, 540, 661, 269, 11491, 592, 657, 639, 521, 269, 521, 269, 538, 799, 513, 4719, 32299, 1519, 661, 294, 4905, 729, 5697, 693, 519, 21554, 540, 29143, 1709, 267, 543, 1287, 621, 729, 6385, 24797, 5001, 998, 519, 18236, 540, 6006, 9870, 269, 1677, 1935, 519, 5169, 540, 519, 18577, 8833, 267, 3573, 10386, 568, 2877, 538, 1082, 21049, 4525, 269, 1677, 6218, 519, 19858, 12105, 9183, 267, 2417, 1353, 568, 2877, 547, 5659, 15013, 689, 3309, 3984, 2249, 538, 9962, 4525, 269, 9736, 476, 1001, 273, 29021, 8581, 13456, 563, 24127, 476, 6795, 267, 17136, 476, 272, 267, 4728, 476, 1001, 271, 267, 9664, 476, 1911, 268, 9818, 454, 306, 10235, 328, 966, 269, 2701, 16223, 990, 339, 810, 341, 1923, 5981, 5674, 966, 269, 15576, 758, 327, 514, 1923, 21208, 565, 599, 589, 269, 30709, 2559, 990, 1923, 966, 9332, 2583, 15442, 589, 269, 631, 867, 9109, 990, 454, 763, 2347, 24197, 25450, 540, 519, 26220, 1726, 3901, 3941, 14956, 626, 1817, 577, 529, 26804, 639, 543, 1849, 517, 25403, 529, 5609, 18424, 630, 26967, 14956, 626, 1817, 14024, 13160, 264, 941, 4628, 3524, 10642, 538, 1931, 547, 1020, 12508, 585, 5027, 26129, 540, 519, 6797, 2770, 7719, 3968, 267, 7636, 14498, 267, 2551, 543, 29981, 2090, 269, 634, 2347, 9696, 540, 24197, 25450, 540, 891, 2249, 17663, 476, 1691, 267, 28071, 543, 476, 1724, 267, 279, 4037, 536, 335, 267, 6606, 267, 543, 616, 3976, 519, 20125, 1726, 3901, 1712, 24197, 25450, 3524, 10642, 547, 4266, 269, 634, 5444, 1543, 543, 11460, 616, 9838, 547, 602, 540, 674, 30913, 7637, 646, 31154, 320, 269, 11083, 294, 543, 717, 307, 294, 616, 1031, 607, 519, 1376, 2275, 617, 976, 543, 570, 8980, 543, 570, 8150, 616, 1031, 607, 519, 3247, 2275, 617, 976, 269, 634, 3247, 2275, 31788, 570, 8980, 540, 519, 595, 269, 5609, 18424, 562, 611, 272, 5444, 16937, 676, 476, 272, 562, 339, 609, 519, 19654, 512, 11748, 268, 2026, 333, 5444, 269, 20010, 3889, 585, 519, 5395, 263, 30002, 264, 512, 23978, 941, 1336, 585, 1312, 2249, 269, 634, 1875, 322, 5317, 1852, 4525, 616, 9674, 883, 1079, 2694, 676, 519, 512, 11748, 8566, 569, 5444, 543, 2270, 9444, 512, 30802, 28197, 267, 799, 616, 8984, 585, 1726, 3901, 1712, 1852, 4525, 267, 6862, 6281, 3889, 269, 769, 3932, 267, 519, 2347, 24197, 5027, 9696, 540, 744, 269, 26804, 639, 543, 595, 269, 5609, 18424, 786, 4196, 607, 513, 4199, 585, 13354, 24197, 1024, 15299, 543, 9836, 2090, 540, 26220, 1726, 3901, 3941, 269, 9736, 476, 1220, 280, 29021, 8581, 13456, 269, 2353, 2924, 11603, 563, 24127, 476, 8618, 267, 17136, 476, 272, 267, 4728, 476, 1001, 273, 267, 9664, 476, 21172, 268, 21076, 454, 292, 574, 1941, 631, 1515, 21628, 1923, 634, 8705, 778, 700, 21036, 1923, 11518, 9445, 7812, 21861, 3415, 1923, 17020, 527, 6056, 5069, 1886, 1923, 590, 553, 603, 1941, 18087, 1168, 7719, 1923, 14529, 756, 3019, 590, 603, 603, 1177, 1941, 1923, 590, 3405, 333, 18806, 3570, 1923, 5981, 595, 269, 7200, 330, 553, 1923, 6754, 6276, 5696, 785, 2917, 1923, 14465, 577, 984, 590, 8692, 320, 454, 288, 3444, 3296, 531, 1353, 593, 14817, 984, 18416, 17244, 538, 1566, 626, 1817, 577, 15633, 729, 5340, 538, 476, 8660, 274, 277, 9038, 543, 8951, 9907, 689, 476, 736, 547, 476, 2568, 269, 1296, 689, 476, 3445, 14252, 540, 10609, 517, 18087, 523, 11662, 267, 29036, 17289, 269, 2353, 941, 22454, 7721, 600, 1441, 585, 14956, 626, 1817, 577, 529, 642, 1853, 337, 7236, 3968, 676, 3044, 11050, 6101, 514, 270, 14007, 21449, 622, 5834, 4480, 269, 2986, 891, 267, 476, 28178, 280, 5171, 609, 22454, 4212, 2318, 23384, 24318, 1783, 2762, 540, 519, 5580, 17737, 269, 634, 14817, 984, 18416, 17244, 9571, 676, 16953, 616, 4330, 1934, 269, 901, 1353, 1336, 513, 3648, 2362, 4908, 540, 4359, 829, 573, 10631, 531, 27470, 538, 7606, 609, 5312, 1566, 626, 1817, 577, 15633, 630, 2537, 269, 277, 15992, 3226, 538, 9038, 269, 24093, 540, 519, 27470, 3769, 8515, 540, 3968, 267, 543, 2085, 7820, 982, 476, 1789, 269, 1296, 269, 27551, 540, 2451, 27914, 540, 519, 6797, 267, 3444, 16687, 540, 519, 7086, 31041, 7516, 2022, 9761, 7594, 267, 31993, 267, 543, 267, 4277, 569, 267, 12499, 515, 31154, 13811, 10007, 941, 3648, 2404, 609, 519, 4359, 829, 573, 10631, 531, 27470, 269, 18479, 1597, 16143, 26601, 30231, 665, 32555, 5448, 630, 6717, 288, 264, 2665, 941, 4767, 269, 901, 1353, 11363, 519, 1699, 4567, 540, 1164, 744, 269, 642, 1853, 337, 7236, 3968, 2557, 543, 519, 6228, 540, 14817, 984, 18416, 17244, 1519, 16143, 595, 7563, 538, 1566, 626, 1817, 577, 15633, 21049, 2127, 540, 17289, 269, 9736, 476, 1001, 272, 29021, 8581, 13456, 563, 24127, 476, 6795, 267, 17136, 476, 275, 267, 5412, 476, 1001, 271, 267, 9664, 476, 277, 2918, 268, 277, 2764, 454, 22068, 16129, 966, 643, 10005, 29813, 10730, 1923, 7439, 320, 19468, 10961, 623, 1512, 5451, 978, 7942, 1923, 30511, 21238, 334, 623, 1014, 857, 7637, 1923, 9253, 2088, 15182, 528, 631, 1794, 2763, 334, 1923, 22784, 3534, 661, 767, 2088, 700, 9579, 541, 7236, 1923, 631, 11252, 3821, 12246, 3570, 15223, 714, 1923, 22176, 329, 18588, 966, 269, 918, 1601, 2006, 1923, 670, 10725, 28529, 328, 17505, 4906, 19161, 1725, 320, 1923, 918, 269, 15873, 1512, 1923, 20844, 3331, 479, 978, 601, 5178, 783, 4777, 5178, 783, 4777, 454, 14549, 2166, 10973, 20192, 514, 19222, 2670, 568, 513, 3810, 21049, 1990, 3019, 5328, 2068, 538, 519, 11662, 540, 3026, 340, 638, 26408, 267, 4793, 6782, 807, 18335, 267, 4352, 513, 3289, 520, 573, 1852, 10872, 814, 1044, 5645, 856, 2094, 476, 3192, 271, 269, 5274, 3968, 1813, 547, 661, 24739, 19905, 666, 611, 18424, 630, 294, 277, 29294, 264, 568, 7928, 538, 3026, 340, 638, 26408, 269, 1717, 267, 519, 13111, 585, 713, 2249, 3788, 3768, 17827, 538, 513, 3148, 1141, 4342, 1564, 616, 15534, 269, 1284, 11567, 519, 12680, 267, 23812, 543, 7636, 27496, 540, 3289, 520, 573, 30219, 5833, 689, 2199, 23161, 267, 14918, 543, 13265, 538, 1931, 547, 2697, 519, 2009, 23854, 540, 661, 269, 666, 611, 18424, 630, 294, 277, 1040, 1284, 849, 9916, 25904, 689, 7783, 5243, 269, 589, 2698, 540, 476, 6858, 25904, 941, 4857, 676, 519, 5027, 15971, 540, 519, 24197, 2166, 1729, 577, 4435, 524, 12444, 848, 1016, 22780, 476, 272, 5444, 269, 7261, 7370, 689, 13265, 630, 333, 284, 1626, 1070, 23161, 630, 333, 284, 2537, 264, 543, 14918, 630, 333, 284, 1240, 264, 543, 2937, 17494, 689, 476, 1015, 7783, 5243, 941, 9916, 269, 634, 12680, 540, 519, 3289, 520, 573, 30219, 729, 476, 4281, 269, 277, 260, 282, 476, 3445, 269, 275, 260, 543, 476, 11463, 269, 275, 260, 585, 13265, 267, 23161, 543, 14918, 267, 6606, 269, 1284, 9571, 661, 269, 666, 611, 18424, 630, 294, 277, 264, 538, 476, 2641, 540, 476, 2537, 23820, 5439, 543, 538, 476, 272, 2915, 20586, 267, 661, 269, 666, 611, 18424, 630, 294, 278, 264, 538, 782, 519, 6477, 25904, 267, 661, 269, 11491, 592, 657, 639, 2283, 340, 588, 878, 1729, 630, 294, 274, 264, 538, 476, 272, 13265, 543, 519, 717, 272, 29294, 538, 476, 1428, 13265, 267, 476, 273, 23161, 543, 476, 280, 2915, 5439, 269, 634, 717, 272, 688, 7120, 4885, 3769, 519, 1455, 13265, 8833, 5311, 543, 476, 273, 2890, 19702, 1218, 540, 713, 5311, 269, 661, 269, 11491, 592, 657, 639, 2283, 340, 588, 878, 1729, 630, 294, 274, 264, 568, 4330, 585, 519, 1101, 942, 538, 3162, 3013, 269, 1284, 9959, 602, 23161, 957, 607, 13111, 585, 661, 269, 666, 611, 18424, 630, 294, 277, 264, 538, 3026, 340, 638, 26408, 267, 543, 602, 1852, 2994, 949, 723, 547, 581, 9862, 547, 2199, 7636, 27496, 547, 2087, 519, 1852, 540, 21313, 6771, 269, 9736, 476, 1001, 271, 29021, 8581, 13456, 563, 24127, 476, 2568, 267, 17136, 476, 272, 267, 5130, 476, 1001, 272, 267, 9664, 476, 272, 268, 275, 454, 305, 784, 329, 684, 15651, 1923, 2871, 836, 335, 1263, 8575, 1923, 808, 8882, 1263 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 17301, 264, 476, 1948, 2132, 11852, 692, 825, 1948, 2866, 1505, 454, 825, 1219, 5721, 4311, 267, 2866, 17750, 267, 6003, 17107, 1038, 1948, 2866, 23200, 454, 1038, 585, 562, 318, 924, 538, 2039, 4311, 8542, 318, 924, 26174, 2187, 2018, 2040, 318, 11274, 318, 20482, 815, 476, 271, 692, 2018, 1948, 4159, 9186, 543, 12035, 1686, 454, 2018, 1820, 6600, 262, 924, 281, 2715, 333, 318, 924, 281, 323, 9574, 536, 815, 2715, 1345, 12500, 5362, 281, 326, 9574, 530, 815, 22207, 1582, 269, 7076, 2020, 2018, 1948, 8520, 593, 5439, 630, 328, 994, 2018, 585, 1775, 538, 2039, 12759, 10857, 8475, 4297, 1384, 3546, 1948, 5581, 5470, 454, 3546, 20093, 815, 6003, 5157, 316, 910, 1582, 4877, 9438, 6025, 20995, 17750, 18020, 1775, 7481, 3546, 2040, 318, 11274, 318, 20482, 6834, 2612, 263, 20482, 2020, 3546, 1948, 9337, 12035, 543, 9186, 454, 3546, 1582, 269, 7076, 6834, 1582, 269, 14048, 318, 3433, 2608, 20093, 2608, 2866, 17750, 18020, 1775, 2639, 3546, 1582, 12500, 5362, 6834, 1582, 269, 14048, 318, 3433, 2608, 20093, 692, 2018, 1948, 3247, 2783, 454, 2018, 952, 2040, 318, 11274, 318, 20482, 2652, 476, 271, 912, 3546, 2736, 454, 0, 258, 3635, 476, 275, 454, 258, 1599, 692, 3698, 2040, 301, 3799, 2187, 825, 1249, 815, 476, 272, 454, 825, 585, 1101, 8999, 538, 2039, 3799, 267, 272, 16427, 272, 2187, 1038, 1249, 815, 1249, 1341, 1101, 8999, 454, 825, 2132, 1249, 692, 3698, 2040, 10998, 25683, 3799, 2187, 825, 1249, 290, 815, 476, 272, 454, 825, 585, 13306, 538, 2039, 3799, 267, 272, 16427, 272, 2187, 1038, 1249, 290, 815, 1249, 290, 1341, 13306, 1262, 273, 454, 825, 2132, 1249, 290, 692, 3698, 1292, 10031, 825, 562, 815, 703, 9272, 2891, 11767, 513, 2898, 1297, 281, 834, 11723, 825, 1820, 2891, 763, 2040, 540, 519, 1101, 2067, 2338, 689, 2580, 562, 267, 834, 529, 2580, 2040, 301, 3799, 1070, 834, 663, 519, 11730, 568, 2580, 2040, 10998, 25683, 3799, 4917, 10852, 3890, 0, 258, 1410, 9052, 476, 1321, 692, 3698, 1292, 10031, 825, 1820, 2891, 1320, 338, 1982, 666, 1608, 16090, 622, 782, 2596, 5602, 825, 1820, 2891, 3901, 3012, 673, 4238, 269, 19515, 825, 1820, 2891, 2791, 666, 946, 519, 12427, 19515, 825, 1820, 2891, 266, 585, 1840, 267, 910, 585, 12408, 5602, 825, 1820, 2891, 265, 547, 9062, 267, 1315, 547, 7941, 543, 2878, 547, 1163, 821, 5602, 825, 585, 1775, 538, 2039, 263, 1911, 2187, 1038, 631, 622, 343, 815, 859, 531, 9272, 2891, 11767, 707, 6310, 4082, 281, 825, 27328, 1038, 1820, 29687, 622, 343, 994, 825, 3403, 2891, 18208, 519, 2999, 11767, 285, 1883, 547, 16718, 23528, 10852, 3890, 0, 258, 3635, 476, 272, 3097, 258, 567, 901, 1982, 332, 21410, 519, 11730, 543, 647, 325, 659, 572, 1858, 540, 513, 12106, 780, 5814, 2979, 692, 3698, 1292, 10031, 825, 1820, 2891, 1607, 1982, 332, 21410, 519, 11730, 543, 2627, 1858, 540, 513, 12106, 23528, 825, 1820, 10797, 825, 8953, 815, 703, 9272, 2891, 11767, 519, 8953, 540, 519, 12106, 281, 834, 11723, 825, 11730, 815, 476, 275, 270, 274, 2608, 2979, 32564, 265, 8953, 1262, 274, 454, 825, 1858, 815, 476, 275, 265, 2979, 32564, 2608, 8953, 1262, 273, 454, 825, 1820, 2891, 763, 11730, 540, 519, 12106, 568, 2580, 11730, 267, 834, 663, 519, 2627, 1858, 568, 2580, 1858, 2020, 10852, 3890 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 419, 483, 356, 476, 11210, 353, 12530, 367, 12530, 485, 12530, 481, 11210, 363, 11210, 373, 28374, 30522, 491, 421, 510, 484, 263, 27310, 28374, 4970, 355, 7430, 367, 418, 505, 379, 7430, 486, 264, 3299, 11885, 9078, 11468, 18737, 272, 316, 10142, 825, 1820, 3488, 11210, 373, 12530, 358, 11210, 353, 11210, 373, 9463, 480, 419, 483, 356, 476, 11210, 353, 12530, 367, 12530, 485, 12530, 481, 11210, 363, 11210, 373, 28374, 30522, 491, 421, 510, 484, 263, 28578, 28374, 4970, 355, 7430, 367, 418, 505, 379, 7430, 486, 264, 3299, 11885, 9078, 18020, 2433, 18737, 272, 316, 10142, 825, 11885, 9078, 815, 5286, 15126, 31912, 272, 267, 272, 267, 272, 25662, 272, 267, 273, 267, 273, 25662, 273, 267, 273, 267, 274, 25662, 274, 267, 274, 267, 274, 14963, 3418, 825, 1820, 3799, 17056, 9078, 3418, 825, 1820, 3488, 25051, 351, 419, 488, 370, 14035, 487, 418, 493, 505, 476, 275, 27310, 7430, 489, 11210, 487, 274, 27310, 3299, 11885, 9078, 269, 31412, 263, 274, 267, 910, 272, 17903, 5897, 604, 6449, 4067, 1029, 2652, 26242, 10852, 1029, 257, 6769, 825, 1292, 14052, 0, 26611, 23591, 24800, 19841, 341, 9226, 692, 258, 476, 10429, 365, 26166, 10533, 352, 28374, 418, 365, 480, 11210, 479, 25913, 7987, 478, 12530, 485, 12530, 376, 11210, 379, 28374, 10533, 352, 11210, 487, 7430, 364, 11210, 488, 28374, 18021, 355, 12571, 486, 7430, 482, 11210, 496, 23989, 7430, 503, 22390, 353, 454, 258, 476, 9463, 480, 26033, 481, 7987, 478, 10059, 2517, 24108, 269, 777, 541, 12459, 335, 7933, 1092, 20400, 270, 28434, 273, 270, 258, 339, 665, 280, 692, 258, 22614, 505, 372, 421, 500, 351, 32517, 480, 12255, 28374, 418, 365, 480, 11210, 479, 25913, 7987, 478, 12530, 485, 12530, 376, 11210, 379, 28374, 10533, 352, 11210, 487, 7430, 364, 11210, 488, 28374, 18021, 355, 12571, 486, 7430, 482, 11210, 496, 23989, 7430, 503, 22390, 353, 454, 258, 476, 9463, 480, 26033, 481, 7987, 478, 10059, 2517, 24108, 269, 777, 541, 12459, 335, 7933, 1092, 20400, 270, 28434, 273, 270, 258, 339, 665, 1015, 454, 5814, 2979, 7531, 258, 13127, 373, 367, 417, 507, 485, 454, 3698, 19105, 16325, 8266, 2187, 825, 2132, 2040, 16325, 8266, 264, 1315, 7003, 16325, 8266, 9239, 258, 13127, 479, 493, 26266, 362, 454, 3698, 8061, 2747, 16325, 267, 3328, 2187, 825, 1130, 815, 1003, 910, 3328, 454, 825, 2132, 1130, 1262, 273, 7531, 258, 476, 26166, 10533, 352, 454, 3698, 7352, 766, 16325, 8266, 2187, 825, 3328, 815, 19105, 16325, 8266, 994, 825, 11539, 8266, 815, 11713, 825, 585, 1003, 538, 1003, 8266, 912, 1038, 11539, 815, 8061, 2747, 16325, 267, 3328, 994, 1038, 11539, 8266, 6910, 263, 22563, 2747, 2020, 825, 2132, 2040, 263, 22563, 2747, 8266, 264, 1315, 7003, 16325, 8266, 9239, 258, 17276, 357, 503, 418, 374, 500, 417, 479, 493, 26266, 362, 454, 3698, 9208, 28319, 2747, 17635, 926, 766, 2187, 825, 2132, 2979, 28460, 17635, 926, 766, 9239, 258, 476, 10429, 365, 26166, 10533, 352, 454, 3698, 595, 20654, 766, 3287, 19617, 8266, 267, 586, 19617, 4289, 267, 1293, 2187, 825, 1535, 30182, 815, 19105, 3287, 19617, 8266, 994, 825, 586, 30182, 815, 19105, 12169, 19617, 4289, 994, 825, 31809, 8266, 815, 29129, 825, 585, 1775, 538, 2039, 6262, 870, 2187, 1038, 31809, 815, 630, 343, 19617, 8266, 5157, 316, 910, 1535, 30182, 264, 2608, 630, 344, 19617, 4289, 5157, 316, 910, 586, 30182, 994, 1038, 31809, 8266, 6910, 6262, 20654, 766, 2020, 825, 2132, 2040, 6262, 20654, 766, 8266, 264, 1315, 1293, 7531, 258, 22614, 505, 372, 421, 500, 351, 32517, 480, 12255, 454, 3698, 4856, 21975, 290, 4141, 2310, 6262, 20654, 766, 267, 1535, 19617, 8266, 267, 586, 19617, 4289, 2187, 825, 1535, 24868, 766, 815, 7352, 766, 3287, 19617, 8266, 994, 825, 586, 24868, 766, 815, 7352, 766, 12169, 19617, 4289, 994, 825, 1535, 24092, 28319, 2747, 815, 9208, 28319, 2747, 3287, 24868, 766, 994, 825, 586, 24092, 28319, 2747, 815, 9208, 28319, 2747, 12169, 24868, 766, 2020, 825, 2132, 31809, 1315, 630, 343, 24092, 28319, 2747, 2608, 586, 24092, 28319, 2747, 9239, 3698, 1292, 10031, 825, 1535, 19617, 8266, 815, 1496, 10170, 267, 476, 3199, 267, 476, 8660, 2639, 825, 586, 19617, 4289, 815, 1496, 3199, 267, 476, 3199, 267, 476, 5952, 2639, 825, 1293, 815, 476, 274, 454, 825, 31809, 815, 595, 20654, 766, 3287, 19617, 8266, 267, 586, 19617, 4289, 267, 1293, 994, 825, 1820, 2891, 10429, 365, 26166, 10533, 352, 2580, 31809, 2020, 825, 9756, 290, 4141, 2310, 815, 4856, 21975, 290, 4141, 2310, 6262, 20654, 766, 267, 1535, 19617, 8266, 2676, 14030, 7386, 586, 19617, 4289, 994, 825, 1820, 2891, 25203, 372, 421, 500, 351, 32517, 480, 12255, 2580, 9756, 290, 4141, 2310, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 1292, 4590, 0, 16482, 258, 7711, 331, 322, 813, 284, 548, 564, 13892, 7329, 284, 1428, 31423, 284, 7090, 274, 454, 16482, 258, 1496, 1428, 316, 476, 274, 11764, 454, 258, 692, 5228, 17511, 1104, 27661, 258, 7711, 331, 322, 3009, 284, 11034, 454, 3698, 1265, 318, 21639, 19906, 267, 3077, 2187, 825, 5727, 8873, 1985, 10545, 3677, 4994, 538, 2016, 15044, 5044, 454, 825, 8173, 825, 2451, 815, 476, 271, 454, 825, 1318, 815, 7003, 19906, 9984, 272, 454, 825, 1247, 2451, 2999, 1318, 912, 1038, 4571, 815, 630, 3847, 1341, 1318, 264, 2260, 273, 454, 1038, 952, 2855, 314, 13232, 316, 2999, 3077, 912, 2018, 2451, 815, 4571, 1341, 476, 272, 454, 1038, 8640, 2855, 314, 13232, 316, 3436, 3077, 912, 2018, 1318, 815, 4571, 454, 1038, 3116, 912, 2018, 2132, 4571, 266, 272, 454, 825, 2132, 2451, 692, 3698, 1079, 11764, 3799, 13246, 281, 5903, 27776, 3910, 3077, 281, 703, 264, 9847, 5903, 27776, 14158, 1038, 1948, 8827, 476, 272, 281, 4635, 19474, 3349, 744, 3799, 264, 5384, 267, 744, 3799, 264, 6611, 454, 1038, 1948, 19474, 8368, 815, 31460, 1038, 1948, 585, 1775, 267, 562, 538, 26246, 3799, 13246, 2187, 1038, 1948, 672, 2451, 318, 1478, 815, 3077, 910, 562, 454, 1038, 1948, 672, 952, 562, 538, 19474, 8368, 912, 1038, 1948, 1363, 2132, 19474, 8368, 19559, 3910, 1775, 1341, 272, 454, 1038, 1948, 672, 8640, 562, 3436, 3077, 912, 1038, 1948, 1363, 2736, 454, 1038, 1948, 672, 3116, 912, 1038, 1948, 1363, 19474, 8368, 314, 3847, 318, 1478, 316, 815, 1775, 1341, 476, 272, 454, 1038, 1948, 8827, 476, 273, 281, 4635, 1079, 31452, 454, 1038, 1970, 815, 476, 271, 454, 1038, 1164, 815, 1265, 318, 21639, 3799, 13246, 267, 3077, 994, 1038, 1247, 1970, 2999, 1164, 912, 2018, 3077, 26371, 815, 476, 2338, 314, 869, 316, 1341, 2338, 314, 14683, 2639, 2018, 952, 476, 3077, 26371, 2652, 3077, 912, 3546, 2132, 1496, 869, 267, 1164, 2639, 2018, 8640, 3077, 26371, 3436, 3077, 912, 3546, 1164, 20699, 476, 272, 454, 2018, 3116, 912, 3546, 1970, 6834, 476, 272, 7531, 5035, 8827, 912, 825, 1219, 1614, 11764, 4311, 267, 15358, 281, 5903, 27776, 8079, 9847, 5903, 314, 8266, 27776, 316, 14158, 1038, 952, 7003, 25225, 264, 2999, 476, 274, 912, 2018, 2132, 11713, 1038, 759, 815, 11713, 1038, 15358, 31699, 4590, 1038, 585, 967, 267, 642, 538, 26246, 25225, 2187, 4449, 454, 27030, 258, 7711, 331, 322, 3009, 284, 754, 0, 1029, 10461, 1029, 815, 834, 296, 534, 6153, 325, 3641, 5016, 3698, 6531, 15461, 318, 653, 325, 3287, 267, 586, 267, 2362, 10734, 21392, 18989, 2187, 825, 8173, 825, 1535, 281, 589, 1592, 540, 1535, 10974, 454, 825, 586, 281, 589, 1592, 540, 586, 10974, 692, 825, 24439, 513, 2504, 7872, 20281, 267, 1775, 4318, 269, 513, 7455, 6029, 454, 825, 875, 1454, 586, 568, 2009, 585, 1142, 1871, 540, 1535, 780, 825, 1403, 2362, 10734, 21392, 267, 649, 8263, 8273, 2418, 540, 586, 616, 1732, 267, 865, 649, 454, 825, 1118, 513, 7455, 602, 6013, 1657, 782, 2798, 538, 519, 6531, 780, 825, 16849, 6032, 325, 13448, 267, 6032, 325, 14729, 267, 799, 616, 8638, 540, 1535, 543, 586, 2798, 10747, 519, 6032, 325, 454, 825, 7455, 563, 825, 29185, 825, 1820, 1412, 337, 7342, 6531, 547, 6032, 325, 28847, 825, 5916, 815, 23407, 3287, 267, 586, 994, 825, 521, 815, 15044, 263, 18474, 1441, 267, 1883, 815, 25754, 552, 2433, 552, 314, 271, 7481, 825, 1535, 815, 1496, 324, 314, 271, 316, 585, 552, 538, 521, 2639, 825, 586, 815, 1496, 324, 314, 272, 316, 585, 552, 538, 521, 6540, 825, 1775, 815, 476, 271, 454, 825, 1247, 1775, 2999, 7003, 3287, 2187, 1038, 561, 343, 815, 1535, 5157, 2639, 1038, 11430, 815, 586, 5157, 2639, 1038, 795, 815, 7003, 3287, 264, 910, 476, 272, 454, 1038, 1247, 795, 3436, 1775, 912, 2018, 678, 343, 815, 1535, 14728, 2639, 2018, 1948, 16386, 678, 343, 3436, 561, 343, 454, 2018, 678, 344, 815, 586, 14728, 2639, 2018, 9386, 815, 630, 787, 910, 11430, 264, 1315, 630, 337, 343, 910, 561, 343, 994, 2018, 18448, 815, 11430, 910, 9386, 2608, 561, 343, 454, 2018, 737, 815, 1775, 1341, 476, 272, 692, 2018, 1247, 737, 2999, 795, 912, 3546, 544, 343, 815, 1535, 25208, 2639, 3546, 1250, 815, 586, 25208, 2639, 3546, 2392, 815, 9386, 2608, 544, 343, 1341, 18448, 454, 3546, 952, 630, 327, 27941, 10734, 21392, 543, 1250, 10922, 2392, 264, 610, 630, 3240, 13843, 2392, 543, 711, 454, 13376, 2362, 10734, 21392, 2187, 7386, 1642, 1535, 25208, 2639, 7386, 1642, 586, 25208, 2639, 7386, 795, 20699, 476, 272, 454, 3546, 3116, 912, 7386, 737, 6834, 476, 272, 454, 2018, 795, 20699, 476, 272, 454, 1038, 1775, 6834, 476, 272, 19638, 825, 1820, 1412, 323, 821, 4881, 6531, 547, 533, 742, 28847, 825, 2132, 1535, 267, 586, 7531, 0, 454, 5228, 6449, 325, 1956, 1029, 1104, 6498, 454, 5814, 556, 454, 5814, 15259, 692, 5035, 13405, 640, 20075, 826, 912, 453, 18257, 25363, 618, 10862, 20313, 1210, 1295, 13463, 777, 1239, 2497, 18411, 22592, 6449, 8181, 9191, 1345, 267, 3240, 7272, 336, 2187, 453, 19677, 4877, 336, 815, 1250, 7272, 336, 454, 453, 19677, 269, 515, 2355, 1125, 815, 476, 271, 1948, 1832, 3950, 540, 24050, 2450, 692, 22592, 7696, 4311, 267, 6221, 2567, 1948, 6221, 1934, 568, 513, 24042, 609, 519, 1739, 3898, 630, 8063, 267, 2619, 1942, 909, 547, 713, 1533, 267, 1931, 7396, 538, 3403, 17902, 994, 453, 19677, 4877, 336, 6910, 263, 14403, 264, 1948, 1039, 6221, 547, 1439, 540, 20313, 454, 453, 19677, 269, 515, 2355, 1125, 6834, 476, 272, 454, 453, 453, 258, 9524, 30331, 777, 547, 2990, 519, 9241, 3773, 6843, 5265, 538, 519, 1295, 13463, 777, 1239, 2497, 454, 453, 19677, 269, 1575, 515, 777, 4311, 269, 515, 2355, 1125, 2020, 22592, 30331, 777, 4311, 267, 24050, 15481, 2187, 453, 453, 6112, 24050, 15481, 12262, 476, 273, 3436, 476, 271, 281, 1948, 972, 568, 1869, 513, 2385, 454, 4848, 453, 8001, 815, 24050, 15481, 12262, 476, 273, 454, 4848, 453, 258, 5635, 519, 2385, 1871, 547, 519, 1126, 1871, 269, 1403, 1126, 1871, 568, 1447, 982, 2385, 1871, 267, 23396, 454, 4848, 14851, 1582, 4877, 336, 314, 515, 777, 15481, 6012, 272, 316, 2999, 1582, 4877, 336, 314, 8001, 6012, 272, 14158, 15235, 19677, 4877, 336, 314, 515, 777, 15481, 3910, 1582, 4877, 336, 314, 8001, 316, 815, 1582, 4877, 336, 314, 8001, 3910, 1582, 4877, 336, 314, 515, 777, 15481, 2639, 4848, 453, 19197, 1582, 4877, 336, 314, 515, 777, 15481, 6012, 272, 316, 2652, 1582, 4877, 336, 314, 8001, 6012, 272, 14158, 15235, 453, 258, 538, 2013, 540, 513, 17063, 267, 2638, 519, 942, 16826, 679, 28255, 1101, 547, 1294, 950, 621, 568, 679, 4302, 4240, 454, 15235, 14851, 1582, 4877, 336, 314, 515, 777, 15481, 6012, 276, 316, 2999, 1582, 4877, 336, 314, 8001, 6012, 276, 14158, 20930, 19677, 4877, 336, 314, 515, 777, 15481, 3910, 1582, 4877, 336, 314, 8001, 316, 815, 1582, 4877, 336, 314, 8001, 3910, 1582, 4877, 336, 314, 515, 777, 15481, 2639, 15235, 453, 19197, 1582, 4877, 336, 314, 515, 777, 15481, 6012, 276, 316, 2652, 1582, 4877, 336, 314, 8001, 6012, 276, 14158, 20930, 453, 258, 538, 2013, 540, 513, 17063, 538, 1871, 543, 538, 942, 679, 28255, 267, 2638, 519, 1931, 7396, 538, 3403, 17902, 547, 2736, 13218, 454, 20930, 14851, 1582, 4877, 336, 314, 515, 777, 15481, 6012, 273, 316, 2999, 1582, 4877, 336, 314, 8001, 6012, 273, 14158, 4848, 15235, 19677, 4877, 336, 314, 515, 777, 15481, 3910, 1582, 4877, 336 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 30458, 11468, 18737, 272, 2639, 258, 585, 4994, 267, 3693, 538, 26246, 17338, 320, 318, 273, 2187, 258, 672, 2119, 912, 258, 1363, 1820, 2891, 292, 2211, 334, 15079, 694, 340, 31317, 20527, 15079, 286, 15079, 2668, 8971, 16216, 2211, 267, 30458, 318, 273, 27709, 266, 272, 3910, 30458, 318, 273, 27709, 266, 272, 316, 2525, 557, 321, 4877, 1042, 324, 19485, 16216, 2211, 21875, 258, 672, 4849, 912, 258, 1363, 1820, 2891, 383, 504, 2741, 24982, 3693, 334, 256, 15079, 694, 340, 31317, 20527, 15079, 286, 15079, 2668, 8971, 16216, 2211, 267, 3693, 266, 272, 267, 630, 324, 2211, 266, 272, 264, 2525, 557, 321, 4877, 1042, 324, 19485, 16216, 2211, 4297, 2020, 258, 1948, 4530, 18372, 3816, 334, 23843, 454, 258, 1654, 321, 269, 14142, 263, 9264, 994, 258, 1654, 321, 31927, 263, 9264, 994, 258, 1654, 321, 269, 14142, 263, 9264, 2020, 258, 1654, 321, 269, 14142, 263, 736, 994, 258, 1654, 321, 31927, 263, 736, 994, 258, 1654, 321, 269, 14142, 263, 736, 264, 0, 1012, 7711, 12803, 4266, 318, 611, 339, 18258, 454, 258, 476, 7711, 10461, 20144, 745, 341, 645, 6409, 338, 541, 454, 258, 476, 7711, 321, 4361, 1323, 7493, 1239, 1826, 602, 4564, 11261, 543, 2636, 585, 824, 3252, 547, 13861, 11261, 454, 258, 476, 7711, 11845, 3967, 476, 1428, 476, 1708, 271, 692, 5814, 30220, 692, 1012, 7711, 321, 4361, 1323, 5084, 307, 602, 4564, 11261, 454, 5035, 11261, 307, 1384, 692, 825, 12361, 7711, 321, 4361, 20472, 528, 602, 538, 658, 3278, 519, 1843, 609, 1032, 267, 3923, 543, 1554, 454, 825, 1948, 476, 7711, 30956, 5661, 4635, 513, 2119, 543, 4849, 267, 519, 3403, 1540, 4266, 568, 7318, 609, 30220, 547, 1294, 952, 922, 4570, 1287, 4688, 873, 538, 454, 825, 1948, 476, 1362, 4632, 3116, 6318, 5470, 563, 825, 1948, 476, 7711, 12407, 544, 910, 13600, 267, 546, 910, 4303, 267, 586, 268, 5729, 454, 825, 1219, 6449, 8181, 9191, 1345, 267, 546, 267, 544, 267, 586, 2187, 8587, 2119, 912, 1038, 30220, 6155, 622, 12169, 267, 544, 267, 546, 994, 1038, 1582, 13885, 815, 586, 454, 1038, 1582, 6155, 815, 546, 454, 1038, 1582, 6230, 815, 544, 454, 8587, 4849, 912, 1038, 6318, 7531, 825, 12361, 7711, 321, 4361, 5192, 614, 585, 1554, 454, 825, 1948, 476, 7711, 8873, 634, 1554, 607, 606, 703, 454, 825, 1219, 1554, 4311, 2187, 8587, 2132, 1582, 6155, 7531, 825, 12361, 7711, 321, 4361, 5192, 614, 585, 3923, 454, 825, 1948, 7711, 8873, 634, 3923, 607, 606, 703, 454, 825, 1219, 3923, 4311, 2187, 8587, 2132, 1582, 6230, 7531, 825, 12361, 7711, 321, 4361, 5192, 614, 585, 1032, 454, 825, 1948, 476, 7711, 8873, 634, 1032, 607, 606, 703, 454, 825, 1219, 1032, 4311, 2187, 8587, 2132, 1582, 13885, 7531, 825, 12361, 7711, 321, 4361, 4855, 519, 1985, 1554, 689, 519, 1699, 1843, 454, 825, 1948, 476, 7711, 30956, 5661, 8073, 513, 30220, 1843, 609, 1699, 1843, 543, 946, 31764, 12265, 1599, 547, 1039, 835, 1554, 543, 1349, 454, 825, 1948, 19930, 1032, 267, 3923, 543, 1554, 454, 825, 1948, 476, 7711, 8873, 11261, 307, 1843, 540, 1985, 1554, 454, 825, 1219, 1985, 4311, 2187, 8587, 1225, 5091, 622, 815, 30220, 6155, 622, 4311, 13885, 267, 1582, 6230, 267, 1582, 6155, 994, 8587, 1985, 5091, 622, 815, 1225, 5091, 622, 1341, 30220, 6745, 574, 539, 12265, 5560, 904, 284, 272, 994, 8587, 2132, 11261, 307, 263, 10113, 5091, 622, 269, 1485, 267, 1985, 5091, 622, 269, 24629, 267, 1985, 5091, 622, 13885, 792, 9239, 825, 12361, 7711, 321, 4361, 4855, 519, 1554, 1354, 1699, 1843, 454, 825, 1948, 476, 7711, 30956, 5661, 6282, 525, 513, 30220, 1843, 609, 1699, 1843, 543, 946, 31764, 12265, 1599, 547, 10208, 835, 1554, 543, 1349, 454, 825, 1948, 19930, 1032, 267, 3923, 267, 1554, 454, 825, 1948, 476, 7711, 8873, 11261, 307, 1843, 540, 519, 3105, 1554, 454, 825, 1219, 7173, 4311, 2187, 8587, 1225, 5091, 622, 815, 30220, 6155, 622, 4311, 13885, 267, 1582, 6230, 267, 1582, 6155, 994, 8587, 7173, 5091, 622, 815, 1225, 5091, 622, 910, 30220, 6745, 574, 539, 12265, 5560, 904, 284, 272, 994, 8587, 2132, 11261, 307, 263, 2181, 341, 5091, 622, 269, 1485, 267, 7173, 5091, 622, 269, 24629, 267, 7173, 5091, 622, 13885, 792, 9239, 825, 12361, 7711, 321, 4361, 4855, 338, 952, 519, 1699, 4266, 568, 1354, 519, 546, 1843, 454, 825, 1948, 476, 7711, 30956, 5661, 6282, 525, 513, 30220, 1843, 609, 1699, 1843, 543, 513, 30220, 1843, 609, 519, 9936, 546, 269, 3973, 5635, 519, 454, 825, 1948, 19930, 30220, 3615, 454, 825, 1948, 476, 7711, 12407, 546, 910, 11261, 307, 1843, 547, 5635, 609, 454, 825, 1948, 476, 7711, 8873, 6936, 952, 519, 1699, 1843, 568, 1354, 4164, 546, 3116, 8771, 454, 825, 1219, 1354, 4311, 267, 546, 2187, 8587, 1225, 5091, 622, 815, 30220, 6155, 622, 4311, 13885, 267, 1582, 6230, 267, 1582, 6155, 994, 8587, 1007, 5091, 622, 815, 30220, 6155, 622, 5560, 13885, 267, 546, 6230, 267, 546, 6155, 994, 8587, 2132, 1225, 5091, 622, 2999, 1007, 5091, 622, 825, 1948, 2422, 1447, 982, 2094, 649, 1616, 547, 1265, 856, 952, 4266, 568, 1354, 7531, 825, 12361, 7711, 321, 4361, 4855, 338, 952, 519, 1699, 4266, 568, 1310, 519, 546, 1843, 454, 825, 1948, 476, 7711, 30956, 5661, 6282, 525, 513, 30220, 1843, 609, 1699, 1843, 543, 513, 30220, 1843, 609, 519, 9936, 546, 269, 3973, 5635, 519, 454, 825, 1948, 19930, 30220, 3615, 454, 825, 1948, 476, 7711, 12407, 546, 910, 11261, 307, 1843, 547, 5635, 609, 454, 825, 1948, 476, 7711, 8873, 6936, 952, 519, 1699, 1843, 568, 1310, 4164, 546, 3116, 8771, 454, 825, 1219, 1310, 4311, 267, 546, 2187, 8587, 1225, 5091, 622, 815, 30220, 6155, 622, 4311, 13885, 267, 1582, 6230, 267, 1582, 6155, 994, 8587, 1007, 5091, 622, 815, 30220, 6155, 622, 5560, 13885, 267, 546, 6230, 267, 546, 6155, 994, 8587, 2132, 1225, 5091, 622, 3436, 1007, 5091, 622, 567, 1948, 2422, 3152, 982, 2094, 649, 1616, 547, 1265, 856, 952, 4266, 568, 1310, 7531, 825, 12361, 7711, 321, 4361, 4258, 4242, 952, 519, 7389, 616, 519, 1482, 454, 825, 1948, 476, 7711, 30956, 5661, 3281, 4100, 519, 1554, 267, 3923, 543, 1032, 1851, 519, 1079, 3615, 454, 825, 1948, 476, 7711, 12407, 546, 910, 11261, 307, 1843, 547, 5635, 609, 454, 825, 1948, 476, 7711, 8873, 6936, 952, 519, 4266, 616, 519, 1482, 3116, 8771, 454, 825, 1219, 3160, 4311, 267, 546, 2187, 8587, 2132, 1582, 13885, 2652, 546, 13885, 543, 1582, 6230, 2652, 546, 6230, 543, 1582, 6155, 2652, 546, 6155, 7531, 825, 12361, 7711, 321, 4361, 1520, 1091, 562, 2395, 547, 519, 1699, 11261, 307, 1843, 454, 825, 1948, 476, 7711, 30956, 5661, 6282, 525, 513, 30220, 1843, 609, 519, 1699, 1843, 267, 1287, 3096, 519, 31764, 12265, 1599, 547, 1039, 562, 2395, 543, 454, 825, 1948, 19930, 6368, 21555, 519, 1032, 267, 3923, 543, 1554, 269, 1403, 596, 4283, 513, 8918, 1297, 585, 562, 621, 786, 5180, 547, 14282, 454, 825, 1948, 19930, 2898, 1297, 543, 1287, 1039, 1346, 1082, 2395, 269, 20504, 338, 2942, 2395, 630, 1729, 979, 1394, 2395, 994, 825, 1948, 476, 7711, 12407, 562, 910, 1297, 540, 2395, 547, 1039, 593, 547, 519, 1699, 4266, 630, 842, 994, 825, 1948, 476, 7711, 8873, 513, 11261, 307, 1843, 609, 519, 1007, 4266, 454, 825, 1219, 1039, 5091, 904, 4311, 267, 562, 2187, 8587, 1225, 5091, 622, 815, 30220, 6155, 622, 4311, 13885, 267, 1582, 6230, 267, 1582, 6155, 994, 8587, 1007, 5091, 622, 815, 1225, 5091, 622, 1341, 30220, 6745, 574, 539, 12265, 5560, 904, 284, 333, 994, 8587, 2132, 11261, 307, 28956, 5091, 622, 269, 1485, 267, 1007, 5091, 622, 269, 24629, 267, 1007, 5091, 622, 13885, 792, 9239, 825, 12361, 7711, 321, 4361, 4855, 519, 2395, 1063, 519, 1699, 1843, 543, 9936, 1843, 454, 825, 1948, 476, 7711, 30956, 5661, 6282, 525, 513, 30220, 1843, 609, 519, 1699, 1843, 543, 513, 30220, 1843, 609, 519, 9936, 1843, 269, 3973, 454, 825, 1948, 19930, 1265, 519, 3017, 1063, 519, 1079, 7389, 676, 18946, 563, 825, 1948, 476, 7711, 12407, 546, 910, 11261, 307, 1843, 1265, 519, 3017, 538, 2395, 689, 454, 825, 1948, 476, 7711, 8873, 519, 6207, 1871, 540, 519, 3017, 2094, 519, 3593, 666, 4283, 513, 4266, 602, 568, 1354, 519, 1699, 4266, 454, 825, 1219, 2395, 10734, 15277, 4311, 267, 546, 2187, 8587, 1225, 5091, 622, 815, 30220, 6155, 622, 4311, 13885, 267, 1582, 6230, 267, 1582, 6155, 994, 8587, 1007, 5091, 622, 815, 30220, 6155, 622, 5560, 13885, 267, 546, 6230, 267, 546, 6155, 994, 8587, 2132, 2612, 28956, 5091, 622, 910, 1225, 5091, 622, 1040, 17058, 19638, 0, 30976, 318, 31642, 640, 815, 703, 9272, 15405, 325, 1400, 318, 31642, 640, 815, 703, 9272, 31156, 15893, 15058, 318, 520, 1682, 815, 3355, 318, 31642, 640, 454, 327, 2788, 318, 5158, 815, 476, 271, 692, 6112, 1297, 15058, 318, 520, 1682, 3436, 3803, 318, 31642, 640, 912, 825, 1297, 15058, 318, 520, 1682, 1315, 284, 476, 273, 454, 825, 3368, 318, 5158, 6834, 476, 272, 454, 2745, 22607, 2788, 318, 5158, 2608, 476, 1321, 994, 0, 258, 2322, 707, 9226, 3009, 1934, 454, 327, 712, 272, 815, 703, 9272, 15405, 2381, 1393, 272, 815, 703, 9272, 15405, 16149, 272, 815, 703, 9272, 15405, 327, 712, 273, 815, 703, 9272, 15405, 2381, 1393, 273, 815, 703, 9272, 15405, 16149, 273, 815, 703, 9272, 31156, 2745, 9230, 327, 712, 273, 2608, 476, 11740, 271, 1341, 8792, 273, 2608, 476, 2568, 1341, 2034, 273, 264, 910, 630, 327, 712, 272, 2608, 476, 11740, 271, 1341, 8792, 272, 2608, 476, 2568, 1341, 2034, 272, 4917, 0, 258, 2843, 508, 10528, 3264, 13077, 4344, 18775, 9924, 454, 5228, 11346, 1104, 1039, 267, 15273, 454, 273, 1341, 476, 274, 454, 5417, 263, 273, 267, 476, 274, 994, 273, 1341, 476, 274, 2608, 476, 275, 1341, 476, 276, 454, 5417, 263, 5417, 263, 273, 267, 15273, 263, 274, 267, 476, 275, 4297, 2073, 476, 276, 994, 263, 273, 1341, 476, 274, 264, 2608, 630, 275, 1341, 476, 276, 994, 332, 592, 263, 5417, 263, 273, 267, 476, 274, 1070, 1039, 263, 275, 267, 476, 276, 11723, 258, 2843, 498, 3264, 6459, 23845, 3264, 454, 15836, 278, 1315, 476, 1015, 454, 15836, 278, 12262, 476, 1015, 454, 15836, 278, 4939, 476, 1015, 454, 5228, 11346, 1104, 1854, 539, 643, 267, 6083, 867, 643, 267, 1110, 454, 4148, 334, 867, 643, 263, 15836, 278, 267, 476, 1015, 994, 339, 29471, 643, 263, 15836, 278, 267, 476, 1015, 994, 7116, 263, 15836, 278, 267, 476, 1015, 2020, 276, 1315, 476, 274, 454, 276, 12262, 476, 274, 454, 276, 4939, 476, 274, 692, 258, 2843, 507, 27799, 7549, 17201, 9841, 7549, 3378, 11714, 5284, 371, 8563, 13077, 27569, 3522, 27671, 9924, 17153, 23970, 20265, 10948, 23845, 13953, 454, 3698, 7941, 318, 1410, 716, 3799, 267, 546, 2187, 825, 2132, 562, 12262, 546, 267, 562, 4939, 546, 454, 638, 582, 1304, 267, 14230, 815, 7941, 318, 1410, 716, 263, 15836, 278, 267, 476, 1015, 2020, 258, 2843, 498, 30718, 13150, 23485, 4709, 15671, 4138, 267, 18194, 30718, 16021, 13150, 9924, 15800, 25602, 4814, 15671, 7846, 9261, 12811, 4344, 9924, 10780, 3378, 27188, 9261, 17201, 10948, 3522, 17221, 19628, 454, 3698, 7941, 318, 1410, 716, 3799, 267, 546, 2187, 825, 5727, 29551, 5284, 371, 8563, 13077, 27569, 3522, 20046, 24893, 3522, 13150, 21170, 3264, 630, 638, 582, 1304, 264, 15800, 16068, 13150, 19277, 30718, 630, 8145, 664, 1457, 264, 16068, 4344, 18194, 3264, 6459, 23845, 9326, 562, 21660, 546, 780, 825, 21188, 23479, 267, 14230, 815, 7941, 318, 1410, 716, 263, 15836, 278, 267, 476, 1015, 994, 825, 21188, 23479, 454, 825, 476, 15836, 454, 825, 21188, 14230, 454, 825, 476, 1015, 454, 825, 8173, 825, 2132, 6083, 867, 643, 3799, 267, 546, 1070, 1110, 3799, 267, 546, 2020, 258, 2843, 494, 4814, 15671, 7846, 9261, 12811, 4344, 9924, 10780, 3378, 27188, 9261, 17201, 10948, 3522, 17221, 19628, 454, 3698, 2333, 28840, 267, 676, 284, 272, 2187, 825, 2132, 1297, 1341, 676, 692, 258, 2843, 352, 4736, 6459, 13833, 21162, 3264, 11714, 9924, 13077, 21833, 23845, 9326, 454, 3698, 6207, 19056, 3287, 2187, 825, 5727, 29551, 5284, 371, 8563, 13077, 27569, 3522, 20046, 20413, 19757, 7846, 23783, 23970, 20265, 10948, 23845, 9326, 1535, 780, 825, 21188, 6207, 19056, 8987, 274, 994, 825 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1862, 263, 8740, 479, 6567, 476, 272, 4297, 4297, 4917, 6078, 267, 476, 274, 1910, 331, 1109, 1691, 1547, 476, 273, 630, 8740, 479, 17995, 21508, 499, 9890, 16733, 14256, 373, 281, 263, 272, 1862, 263, 8740, 479, 6567, 476, 272, 4297, 414, 509, 370, 14256, 368, 14256, 369, 14256, 368, 14256, 374, 815, 630, 14256, 373, 3980, 359, 2715, 414, 509, 357, 9230, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 1070, 31977, 369, 414, 509, 358, 348, 4297, 7602, 498, 630, 14256, 374, 281, 263, 272, 1862, 9230, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 4297, 414, 509, 370, 14256, 368, 31961, 630, 14256, 374, 8072, 9230, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 4297, 815, 31977, 369, 14256, 373, 815, 630, 14256, 374, 7602, 378, 630, 272, 1862, 263, 8740, 479, 6567, 476, 272, 4297, 4297, 4917, 276, 1109, 25699, 322, 333, 1109, 279, 4281, 272, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 280, 630, 8740, 479, 17995, 21508, 499, 9890, 15855, 479, 17995, 21508, 480, 994, 277, 1109, 1314, 268, 272, 322, 333, 1109, 6507, 277, 277, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 280, 476, 272, 17995, 21508, 480, 454, 278, 1109, 12639, 4754, 1109, 26764, 275, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 280, 16733, 8740, 479, 17995, 21508, 480, 31961, 476, 272, 17995, 21508, 480, 264, 9890, 16733, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 264, 815, 15855, 479, 994, 5952, 267, 476, 277, 267, 476, 278, 1910, 17427, 743, 1109, 25148, 1547, 1547, 1547, 1547, 1547, 1547, 1547, 476, 279, 630, 8740, 479, 17995, 21508, 499, 9890, 16733, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 264, 815, 15855, 479, 994, 7176, 2100, 336, 272, 323, 1109, 4391, 273, 272, 1547, 1547, 1547, 1547, 1547, 1547, 476, 278, 630, 8740, 479, 17995, 21508, 499, 9890, 2340, 509, 357, 9230, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 1070, 31977, 369, 414, 509, 358, 815, 2340, 509, 357, 8740, 479, 267, 31977, 369, 414, 509, 358, 994, 11820, 338, 928, 336, 323, 1109, 30500, 278, 1547, 1547, 1547, 1547, 1547, 476, 277, 630, 8740, 479, 17995, 21508, 499, 9890, 2715, 414, 509, 357, 9230, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 1070, 31977, 369, 414, 509, 358, 348, 815, 2715, 414, 509, 357, 8740, 479, 267, 31977, 369, 414, 509, 358, 348, 994, 1556, 1109, 325, 572, 336, 272, 332, 272, 335, 272, 269, 272, 1547, 1547, 1547, 1547, 1547, 476, 277, 31977, 375, 815, 2715, 414, 509, 357, 8740, 479, 267, 31977, 369, 414, 509, 358, 8679, 13199, 271, 267, 476, 1556, 18091, 13700, 275, 10972, 1109, 25546, 273, 1547, 1547, 1547, 1547, 476, 276, 630, 8740, 479, 17995, 21508, 499, 9890, 2715, 414, 509, 357, 9230, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 1070, 31977, 369, 414, 509, 358, 348, 815, 31977, 375, 994, 14530, 273, 2317, 336, 273, 323, 1109, 26825, 278, 1547, 1547, 1547, 476, 275, 630, 8740, 479, 17995, 21508, 499, 9890, 630, 14256, 373, 3980, 359, 2715, 414, 509, 357, 9230, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 1070, 31977, 369, 414, 509, 358, 16585, 815, 630, 14256, 373, 14256, 375, 4917, 15221, 274, 18091, 18091, 273, 323, 1109, 21497, 274, 1547, 1547, 476, 274, 630, 8740, 479, 17995, 21508, 499, 9890, 630, 14256, 374, 815, 630, 14256, 373, 3980, 359, 2715, 414, 509, 357, 9230, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 1070, 31977, 369, 414, 509, 358, 16585, 7602, 498, 31977, 374, 815, 630, 14256, 373, 14256, 375, 21875, 14681, 6246, 534, 6798, 274, 323, 1109, 15782, 278, 1547, 476, 273, 630, 8740, 479, 17995, 21508, 499, 9890, 16733, 14256, 373, 281, 263, 272, 1862, 263, 8740, 479, 6567, 476, 272, 4297, 414, 509, 370, 14256, 368, 14256, 369, 14256, 368, 14256, 374, 815, 630, 14256, 373, 3980, 359, 2715, 414, 509, 357, 9230, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 1070, 31977, 369, 414, 509, 358, 348, 4297, 7602, 498, 630, 14256, 373, 281, 263, 272, 1862, 263, 8740, 479, 6567, 476, 272, 4297, 414, 509, 370, 14256, 368, 14256, 369, 14256, 368, 14256, 374, 815, 630, 14256, 373, 14256, 375, 4297, 4917, 12739, 913, 336, 273, 323, 1109, 276, 3199, 273, 1547, 1547, 1547, 476, 275, 630, 8740, 479, 17995, 21508, 499, 9890, 630, 272, 1862, 9230, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 4297, 815, 630, 272, 1862, 8740, 479, 4917, 14378, 277, 10623, 336, 273, 323, 1109, 276, 2767, 273, 1547, 1547, 476, 274, 630, 8740, 479, 17995, 21508, 499, 9890, 630, 14256, 374, 281, 263, 272, 1862, 9230, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 4297, 414, 509, 370, 14256, 368, 14256, 374, 281, 263, 272, 1862, 8740, 479, 264, 414, 509, 370, 14256, 368, 4917, 6642, 325, 557, 336, 273, 323, 1109, 276, 6246, 278, 1547, 1547, 1547, 476, 275, 630, 8740, 479, 17995, 21508, 499, 9890, 630, 14256, 374, 8072, 9230, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 4297, 815, 630, 14256, 374, 8740, 479, 4917, 4489, 279, 18091, 18091, 272, 323, 1109, 21497, 271, 1547, 1547, 476, 274, 630, 8740, 479, 17995, 21508, 499, 9890, 16733, 14256, 374, 8072, 9230, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 4297, 815, 31977, 369, 7602, 498, 630, 14256, 374, 8740, 479, 264, 815, 31977, 369, 4917, 1001, 278, 267, 476, 4350, 534, 6798, 1321, 323, 1109, 15782, 273, 1547, 476, 273, 630, 8740, 479, 17995, 21508, 499, 9890, 16733, 14256, 374, 281, 263, 272, 1862, 9230, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 4297, 414, 509, 370, 14256, 368, 31961, 630, 14256, 374, 8072, 9230, 8740, 479, 6567, 476, 272, 264, 1341, 476, 272, 4297, 815, 31977, 369, 14256, 373, 815, 630, 14256, 374, 7602, 378, 630, 272, 1862, 263, 8740, 479, 6567, 476, 272, 4297, 4297, 7602, 498, 630, 14256, 374, 281, 263, 272, 1862, 8740, 479, 264, 414, 509, 370, 14256, 368, 31961, 630, 14256, 374, 8740, 479, 264, 815, 31977, 369, 14256, 373, 815, 630, 14256, 374, 7602, 378, 630, 272, 1862, 263, 8740, 479, 6567, 476, 272, 4297, 4297, 4917, 20969, 267, 476, 1428, 267, 476, 10711, 4226, 337, 274, 323, 1109, 24241, 476, 272, 630, 8740, 479, 17995, 21508, 499, 9890, 16733, 14256, 373, 281, 263, 272, 1862, 263, 8740, 479, 6567, 476, 272, 4297, 414, 509, 370, 14256, 368, 14256, 369, 14256, 368, 14256, 374, 815, 630, 14256, 373, 14256, 375, 4297, 7602, 498, 630, 14256, 374, 281, 263, 272, 1862, 8740, 479, 264, 414, 509, 370, 14256, 368, 31961, 630, 14256, 374, 8740, 479, 264, 815, 31977, 369, 14256, 373, 815, 630, 14256, 374, 7602, 378, 630, 272, 1862, 263, 8740, 479, 6567, 476, 272, 4297, 4297, 4917, 27413, 540, 4632, 281, 530, 742, 1305, 1362, 16522, 1314, 23456, 281, 5231, 9890, 530, 328, 1109, 275, 5231, 7602, 498, 530, 321, 1109, 10441, 5231, 31961, 530, 274, 320, 1109, 280, 8287, 5231, 815, 530, 576, 336, 1109, 15836, 273, 5231, 17995, 530, 4897, 1109, 21076, 273, 5231, 3980, 359, 524, 684, 1109, 28906, 277, 476, 1109, 346, 14369, 333, 1109, 31874, 275, 476, 1109, 414, 509, 357, 19817, 1109, 31874, 278, 5231, 7602, 378, 524, 637, 1109, 3393, 276, 274, 476, 1109, 414, 509, 370, 342, 325, 1109, 276, 1724, 272, 476, 1109, 8072, 22396, 341, 1109, 276, 1724, 276, 476, 1109, 263, 5035, 1362, 1362, 264, 1723, 1109, 276, 4281, 277, 476, 1109, 11433, 480, 764, 1109, 278, 6858, 272, 476, 1109, 272, 322, 272, 1109, 278, 6858, 275, 5231, 1341, 524, 5417, 322, 1109, 278, 6858, 277, 5231, 6567, 524, 2381, 1109, 278, 7176, 277, 476, 1109, 11433, 499, 322, 333, 1109, 279, 6507, 274, 476, 1109, 11433, 499, 271, 322, 333, 271, 1109, 3445, 274, 271, 476, 1109, 1862, 22396, 345, 1109, 280, 5952, 271, 901, 11532, 729, 9863, 689, 24936, 1682, 281, 476, 1109, 1314, 2173, 335, 1109, 276, 476, 1109, 1314, 268, 272, 1109, 277, 476, 1109, 1314, 268, 273, 1109, 278, 476, 1109, 1314, 268, 807, 272, 1109, 10755, 476, 1109, 1314, 268, 807, 273, 1109, 11793, 476, 1109, 1314, 268, 807, 274, 1109, 13040, 476, 1109, 1314, 2987, 272, 1109, 2568, 275, 476, 1109, 1314, 2987, 273, 1109, 2568, 276, 476, 1109, 1314, 268, 1470, 1109, 277, 4200, 476, 1109, 1314, 268, 276, 1109, 16318, 275, 476, 1109, 1314, 268, 278, 1109, 16318, 276, 476, 1109, 1314, 24932, 1109, 16318, 277, 476, 1109, 1314, 268, 773, 272, 1109, 15704, 271, 476, 1109, 1314, 268, 773, 273, 1109, 15704, 272, 476, 1109, 1314, 268, 279, 1109, 16825, 272, 476, 1109, 1314, 268, 1015, 1109, 16825, 273, 476, 1109, 1314, 268, 1556, 1109, 16825, 274, 476, 1109, 1314, 25829, 1321, 1109, 16825, 275, 476, 1109, 1314, 1532, 526, 331, 1109, 16825, 277, 476, 1109, 1314, 268, 275, 1109, 16825, 278, 476, 1109, 1314, 268, 1704, 1109, 5611, 274, 476, 1109, 1314, 25829, 280, 1109, 5611, 278, 476, 1109, 1314, 268, 658, 1109, 14681, 272, 476, 1109, 1314, 25829, 276, 337, 1109, 14681, 273, 476, 1109, 1314, 268, 1724, 1109, 21076, 275, 476, 1109, 1314, 268, 1691, 1109, 21076, 276, 476, 1109, 1314, 268, 2169, 1109, 18891, 274, 476, 1109, 1314, 5498, 335, 1109, 28147, 277, 476, 1109, 1314, 1790, 578, 1109, 25148, 279, 476, 1109, 1314, 17376, 1109, 29300, 273, 476, 1109, 1314, 10595, 1109, 275, 3607, 277, 476, 1109, 1314, 1606, 564, 785, 1109, 4510, 277, 274, 476, 1109, 1314, 2275, 10811, 1109, 6507, 277, 275, 476, 1109, 1314, 268, 816, 322, 333, 1109, 6507, 277, 276, 476, 1109, 1314, 268, 272, 322, 333, 1109, 6507, 277, 277, 476, 1109, 1314, 268, 272, 516, 1109, 6507, 277, 278, 476, 1109, 1314, 268, 545, 333, 1109, 6507, 277, 279, 476, 1109, 1314, 268, 5417, 743, 1109, 6507, 277, 280, 476, 1109, 1314, 268, 5417, 337, 743, 1109, 6507, 278, 271, 476, 1109, 1314, 2173, 592, 743, 1109, 6507, 278, 272, 476, 1109, 1314, 268, 5417, 1260, 1109, 6507, 278, 274, 476, 1109, 1314, 268, 5417, 817, 1109, 6507, 278, 276, 476, 1109, 1314, 1673, 626, 337, 1109, 6507, 278, 278, 476, 1109, 1314, 25829, 273, 332, 272, 1109, 6507, 278, 279, 476, 1109, 1314, 268, 271, 2741, 272, 1109, 6507, 278, 280, 476, 1109, 1314, 268, 271, 573, 1109, 278, 4281, 272, 476, 1109, 1314, 8573, 928, 613, 343, 1109, 278, 4281, 273, 476, 1109, 1314, 2275, 333, 516, 1109, 278, 4281, 275, 476, 1109, 1314, 1790, 516, 2000, 339, 597, 337, 1109, 278, 4281, 276, 476, 1109, 1314, 1790, 516, 2000, 13512, 4802, 1109, 278, 4281, 277, 476, 1109, 1314, 1790, 516, 2000, 1777, 337, 333, 1109, 278, 4281, 278, 476, 1109, 1314, 1790, 516, 268, 2194, 328, 1109, 278, 4281, 279, 476, 1109, 1314, 1790, 516, 2000, 339, 5417, 1109, 278, 4281, 280, 901, 11532, 5673, 593, 8847, 281, 476, 23460, 1532, 328, 1109, 14138, 476, 23460, 268, 274, 528, 1109, 280, 5038, 476, 23460, 268, 274, 534, 1109, 280, 4792, 476, 23460, 2389, 745, 1109, 15836, 276, 476, 23460, 1922, 531, 1109, 15836, 279, 476, 23460, 5991, 325, 1109, 16960, 279, 476, 23460, 1606, 321, 1109, 15876, 273, 476, 23460, 3887, 340, 1109, 1960, 274, 476, 23460, 2173, 334, 1109, 1960, 275, 476, 23460, 12641, 629, 1109, 18891, 279, 476, 23460, 268, 2193, 336, 1109, 22659, 275, 476, 23460, 268, 2193, 331, 1109, 22659, 278, 476, 23460, 5991, 325, 322, 1109, 25375, 273, 476, 23460, 16250, 1109, 23211, 272, 476, 23460, 5991, 601, 1109, 13301, 277, 476, 23460, 268, 1537, 1109, 26237, 274, 476, 23460, 3146, 343, 1109, 26237, 275, 476, 23460, 3146, 340, 1109, 26237, 276, 476, 23460, 268, 4599, 1109, 26237, 278, 476, 23460, 8686, 1109, 29483, 274, 476, 23460, 1606, 25900, 1109, 29720, 277, 476, 23460, 1673, 604, 1109, 28143, 271, 476, 23460, 10595, 1109, 28143, 273, 476, 23460, 2987, 1109, 28143, 275, 476, 23460, 268, 1087, 1109, 29616, 272, 476, 23460, 5991, 592, 1109, 29876, 272, 476, 23460, 1790, 342, 1109, 31620, 280, 476, 23460, 1606, 333, 1109, 30500, 271, 476, 23460, 17376, 1109, 30500, 272, 476, 23460, 19945, 1109, 30500, 274, 476, 23460, 10595, 328, 1109, 4391, 275, 278, 476, 23460, 10784, 1109, 274, 4281, 273, 476, 23460, 1532, 337, 1109, 4375, 275 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 335, 8432, 12455, 609, 476, 1724, 5011, 454, 288, 2834, 959, 728, 322, 6782, 454, 347, 10955, 2471, 543, 14622, 1475, 1724, 2008, 347, 15228, 11496, 1895, 1475, 13312, 14366, 630, 291, 1724, 1070, 1931, 476, 273, 9943, 1724, 2008, 347, 1103, 4156, 5086, 630, 19592, 4181, 10534, 19749, 486, 13923, 269, 28143, 4113, 2008, 347, 19187, 2906, 1475, 3519, 557, 343, 267, 28023, 267, 31164, 267, 568, 23585, 267, 13666, 2135, 531, 2008, 5472, 5011, 540, 513, 2834, 959, 728, 322, 6782, 616, 519, 1482, 3259, 269, 3962, 7944, 568, 476, 15704, 269, 2767, 4113, 269, 2353, 15174, 3773, 1927, 3160, 476, 6924, 275, 271, 4113, 563, 763, 2179, 540, 2230, 513, 2834, 959, 728, 322, 6782, 3217, 909, 568, 454, 320, 568, 519, 3259, 540, 835, 540, 922, 5011, 269, 0, 5719, 987, 568, 519, 10782, 267, 513, 674, 622, 799, 782, 1590, 2119, 454, 4517, 267, 585, 938, 13474, 267, 2048, 26385, 513, 2349, 1170, 547, 5884, 563, 1765, 20694, 6387, 15352, 779, 8144, 540, 634, 594, 2993, 611, 454, 763, 2012, 9699, 16330, 31012, 17044, 5948, 630, 9391, 6938, 264, 949, 711, 8258, 30518, 538, 835, 779, 2247, 855, 594, 993, 2386, 602, 16764, 568, 5432, 609, 519, 7986, 2818, 540, 713, 3919, 281, 932, 18588, 2701, 330, 9618, 10897, 611, 267, 12891, 17304, 336, 1638, 320, 16679, 267, 10548, 2398, 553, 611, 645, 1143, 559, 267, 13225, 698, 520, 19453, 267, 2672, 16223, 22563, 774, 777, 541, 267, 1744, 643, 541, 600, 14076, 326, 15843, 267, 1851, 1866, 269, 1452, 1390, 24069, 540, 519, 4095, 5191, 6560, 616, 23816, 569, 15422, 1142, 1032, 593, 741, 4332, 543, 2669, 3045, 1392, 2456, 1247, 789, 723, 849, 1044, 17814, 538, 1082, 9413, 269, 12344, 519, 2582, 2173, 739, 4241, 3364, 602, 24643, 12075, 547, 873, 568, 602, 789, 4951, 606, 4244, 267, 23344, 10795, 267, 547, 519, 6837, 538, 519, 6560, 1996, 519, 3703, 563, 763, 1101, 3364, 547, 1832, 538, 2247, 827, 15101, 6938, 630, 7474, 568, 1419, 15763, 264, 568, 602, 267, 607, 519, 2012, 6920, 267, 519, 3919, 729, 31012, 269, 901, 1058, 2097, 607, 1100, 9983, 2094, 693, 519, 942, 31012, 4838, 2456, 941, 3742, 2066, 519, 1158, 538, 519, 6560, 1996, 20616, 1143, 269, 634, 31012, 2470, 540, 15101, 6938, 779, 14227, 3206, 2501, 856, 538, 922, 12591, 269, 13225, 698, 520, 19453, 267, 519, 605, 21745, 344, 543, 3362, 519, 1034, 4277, 540, 519, 2603, 5206, 1527, 2224, 569, 538, 519, 7890, 827, 4317, 1143, 269, 901, 568, 1946, 930, 12206, 979, 607, 2484, 607, 6031, 602, 1185, 646, 5030, 267, 1010, 1347, 1143, 320, 543, 1761, 1223, 723, 1500, 1864, 606, 4095, 22255, 514, 269, 1809, 267, 1018, 849, 1590, 581, 6854, 538, 2247, 568, 602, 891, 4838, 2456, 941, 711, 9420, 1209, 1235, 607, 789, 1705, 711, 11654, 519, 2619, 540, 5208, 585, 519, 6852, 3483, 540, 1140, 8724, 2797, 1379, 269, 13225, 698, 520, 19453, 543, 1010, 1895, 17543, 28520, 23038, 538, 519, 6239, 22694, 894, 13909, 711, 547, 6146, 855, 607, 606, 957, 540, 1219, 4800, 1310, 799, 267, 789, 1147, 16781, 1229, 2933, 269, 1261, 729, 782, 540, 476, 2641, 1287, 2336, 1607, 568, 5310, 519, 1034, 4241, 3364, 827, 519, 15101, 6938, 281, 519, 4838, 2456, 941, 2085, 3772, 1360, 1762, 543, 2943, 789, 941, 3810, 9921, 323, 538, 741, 3206, 269, 13225, 698, 520, 19453, 543, 2672, 16223, 22563, 941, 554, 6548, 950, 789, 941, 476, 2537, 267, 14076, 326, 15843, 729, 1256, 7820, 693, 476, 2420, 267, 932, 18588, 2701, 330, 9618, 10897, 611, 5747, 693, 476, 2190, 267, 12891, 17304, 336, 1638, 320, 16679, 729, 554, 6548, 693, 476, 2767, 267, 1247, 645, 1143, 559, 729, 476, 1789, 1287, 269, 898, 568, 513, 4183, 540, 1346, 12316, 2053, 602, 645, 1143, 559, 10897, 12494, 14508, 945, 729, 711, 5128, 513, 4759, 540, 519, 15101, 6938, 729, 782, 540, 476, 736, 950, 646, 7768, 519, 12300, 12316, 6648, 968, 306, 541, 30138, 25493, 27411, 23111, 13860, 2806, 9966, 732, 667, 559, 2725, 514, 670, 2967, 3034, 2467, 568, 711, 606, 1775, 7974, 540, 8969, 602, 19413, 543, 5354, 540, 519, 6837, 1705, 711, 1489, 15101, 6938, 779, 2238, 543, 16809, 269, 19413, 1419, 5206, 1996, 15101, 6938, 1247, 10912, 922, 3527, 607, 968, 322, 578, 1841, 892, 543, 968, 323, 770, 731, 569, 1848, 1261, 849, 9450, 593, 875, 15101, 6938, 779, 2238, 786, 28148, 1860, 519, 4095, 5191, 3350, 269, 8616, 267, 519, 2078, 1063, 6837, 543, 15101, 6938, 729, 711, 782, 20935, 855, 2864, 7294, 269, 2755, 1100, 6837, 6205, 689, 3026, 327, 745, 547, 4793, 601, 6462, 15101, 6938, 267, 621, 568, 849, 3020, 602, 950, 891, 4838, 2456, 941, 593, 513, 3728, 538, 519, 7890, 1996, 519, 2229, 779, 10792, 2126, 267, 3026, 327, 745, 1705, 3643, 13225, 698, 520, 19453, 267, 15506, 4157, 21983, 8705, 667, 3430, 267, 808, 11294, 30605, 267, 3092, 269, 538, 519, 7890, 269, 3026, 327, 745, 5206, 538, 1010, 26249, 267, 2048, 5445, 941, 782, 1360, 4617, 543, 5127, 337, 5200, 267, 543, 621, 729, 15991, 2009, 547, 2911, 547, 873, 1360, 1454, 269, 13225, 698, 520, 19453, 1185, 606, 10694, 267, 7214, 3068, 267, 26526, 9350, 543, 12560, 269, 1703, 8604, 547, 581, 1100, 10845, 538, 621, 269, 1261, 6743, 543, 14437, 609, 1390, 8425, 30276, 267, 855, 1287, 594, 15475, 602, 4896, 945, 814, 1044, 17509, 585, 513, 3923, 786, 1413, 5289, 543, 9543, 10200, 898, 568, 849, 513, 2339, 540, 3140, 1249, 602, 19413, 1705, 7662, 519, 30647, 518, 1195, 547, 862, 1393, 519, 2669, 4845, 2016, 547, 13225, 698, 520, 19453, 267, 2672, 16223, 22563, 267, 543, 14076, 326, 15843, 269, 5015, 267, 932, 18588, 2701, 330, 9618, 10897, 611, 267, 519, 544, 11232, 1157, 267, 31205, 4607, 7482, 689, 3026, 327, 745, 533, 27056, 585, 1010, 2238, 1247, 4724, 519, 1439, 267, 646, 849, 1476, 3660, 547, 3026, 327, 745, 2083, 338, 827, 519, 13777, 1006, 540, 15101, 6938, 779, 5208, 563, 3719, 1223, 15101, 6938, 723, 1483, 12264, 7691, 519, 3804, 540, 4095, 14412, 286, 769, 476, 6977, 278, 267, 1082, 19036, 569, 2829, 1185, 2097, 1927, 547, 4339, 1996, 519, 3703, 14329, 855, 1185, 8959, 2094, 1082, 824, 3532, 19036, 569, 2829, 3357, 856, 538, 1489, 540, 519, 8545, 269, 634, 2797, 543, 2804, 5238, 3964, 676, 519, 3703, 538, 519, 19036, 569, 2829, 607, 1134, 607, 519, 1964, 540, 519, 1016, 29657, 23163, 519, 4567, 28943, 269, 5221, 540, 741, 5238, 267, 519, 3703, 941, 2111, 547, 4341, 936, 476, 4968, 2929, 12075, 1247, 693, 1022, 1448, 538, 942, 1152, 513, 1906, 8536, 540, 873, 5030, 593, 519, 1016, 29657, 269, 4935, 621, 568, 2182, 547, 4952, 875, 519, 26923, 540, 513, 1906, 5372, 762, 2826, 29913, 543, 7810, 10492, 1223, 723, 1500, 3127, 630, 528, 585, 602, 2339, 1022, 824, 4182, 538, 5607, 610, 4000, 264, 1863, 269, 4634, 950, 5191, 3357, 538, 476, 3707, 278, 267, 519, 2101, 2601, 729, 711, 602, 12075, 1185, 10393, 16760, 782, 7810, 5238, 855, 2864, 1317, 1310, 519, 5822, 2622, 2782, 267, 519, 1942, 540, 1016, 24503, 908, 3127, 1185, 1831, 30898, 792, 762, 585, 606, 17215, 22625, 6628, 563, 309, 2723, 775, 2899, 5337, 1243, 568, 2182, 547, 2270, 281, 898, 568, 1152, 513, 2110, 1900, 689, 31362, 519, 968, 1278, 892, 547, 31362, 707, 1378, 269, 4935, 267, 621, 568, 1317, 540, 922, 2324, 1282, 15713, 1296, 602, 519, 2956, 540, 519, 1875, 8686, 2723, 550, 16809, 540, 6837, 19262, 782, 519, 5491, 585, 585, 3101, 513, 8087, 4182, 269, 589, 12402, 540, 13197, 2797, 6663, 676, 5208, 1223, 723, 3362, 28115, 730, 519, 9241, 23949, 8817, 543, 3810, 3309, 4182, 883, 5774, 655, 28016, 630, 553, 5949, 609, 1082, 824, 6082, 538, 5607, 543, 4000, 1916, 2690, 782, 519, 13337, 538, 741, 10795, 3527, 267, 519, 15101, 6938, 4838, 2456, 941, 1101, 543, 19466, 267, 24686, 1824, 269, 4256, 6411, 941, 12592, 676, 519, 2219, 540, 15148, 1154, 1996, 519, 3703, 269, 1635, 922, 10795, 2238, 267, 519, 15101, 6938, 8179, 547, 1285, 3188, 519, 4636, 338, 540, 519, 808, 718, 1014, 342, 8403, 20045, 327, 267, 519, 11318, 540, 700, 8403, 700, 1690, 6312, 681, 2967, 267, 543, 824, 32012, 885, 8149, 676, 519, 3703, 269, 2755, 2760, 513, 3463, 547, 519, 3703, 4341, 267, 621, 5795, 513, 5048, 547, 519, 1727, 31395, 602, 789, 1223, 581, 2016, 1394, 607, 1434, 607, 789, 786, 2285, 269, 8616, 267, 1247, 519, 15101, 6938, 4838, 2456, 941, 24686, 1824, 585, 12075, 267, 789, 7283, 28015, 1235, 585, 519, 3703, 269, 1809, 971, 568, 519, 1950, 2239, 540, 1346, 10876, 945, 11654, 5208, 585, 2797, 7475, 269, 769, 713, 2631, 267, 519, 10795, 31837, 2102, 2886, 602, 3127, 814, 1044, 26164, 2094, 14412, 723, 741, 1378, 2199, 12325, 945, 616, 20866, 9810, 1235, 585, 519, 5354, 540, 12075, 269, 0, 272, 269, 2052, 596, 2697, 513, 22045, 1062, 538, 519, 17669, 10009, 286, 634, 1350, 9593, 15252, 568, 519, 3135, 540, 519, 22045, 10009, 538, 519, 14401, 269, 634, 3413, 5166, 12091, 1470, 548, 13788, 519, 1350, 9593, 15252, 543, 16600, 325, 2830, 1674, 540, 1973, 4386, 1934, 1247, 519, 1964, 540, 519, 1973, 568, 5645, 538, 519, 2498, 5166, 12091, 1470, 548, 547, 519, 9006, 2737, 269, 4935, 1973, 568, 5645, 883, 519, 1350, 9593, 15252, 267, 607, 1134, 607, 856, 540, 519, 1350, 9593, 15252, 676, 519, 12091, 2723, 525, 563, 273, 269, 1548, 798, 596, 3589, 1131, 581, 519, 1198, 540, 31984, 20127, 593, 519, 8685, 983, 556, 25388, 1632, 540, 1216, 676, 519, 14401, 286, 31984, 20127, 2014, 5821, 540, 519, 2962, 540, 2587, 3999, 839, 514, 547, 2014, 620, 323, 16238, 21131, 269, 25548, 16238, 3123, 8685, 983, 556, 25388, 1632, 540, 6070, 543, 1216, 269, 4935, 31984, 20127, 2014, 2530, 540, 6070, 543, 1216, 689, 519, 1560, 267, 4611, 538, 6175, 538, 1973, 2604, 454, 274, 269, 1548, 1131, 596, 2503, 519, 1871, 540, 17669, 24999, 540, 7280, 547, 581, 538, 513, 2635, 1367, 286, 25585, 286, 2353, 540, 519, 7280, 602, 2501, 547, 519, 8459, 568, 10710, 543, 3762, 519, 8459, 538, 519, 11919, 543, 602, 1100, 7280, 568, 608, 920, 1540, 883, 519, 10729, 269, 634, 24999, 540, 7280, 568, 4061, 476, 271, 16720, 26553, 607, 1100, 11919, 814, 922, 7280, 6569, 607, 621, 10596, 998, 519, 8459, 269, 901, 1131, 581, 3020, 585, 1022, 6219, 602, 568, 4625, 556, 25388, 5523, 563, 275, 269, 1215, 1131, 1350, 9593, 983, 19288, 2557, 581, 4299, 676, 737, 342, 20076, 1251, 528, 286, 769, 737, 342, 1513, 6062, 1251, 541, 972, 568, 4389, 11919, 5946, 267, 3226, 11549, 6058, 269, 901, 3123, 4389, 11919, 32346, 5328, 2604, 267, 799, 3976, 568, 8572, 547, 11677, 5714, 267, 543, 2164, 538, 2799, 717, 15709, 454, 276, 269, 24391, 1572, 15646, 514, 20127, 616, 1031, 547, 1521, 13119, 269, 26442, 21622, 875, 789, 1131, 723, 713, 1198, 269, 681, 3317, 514, 568, 606, 11747, 267, 9117, 593, 513, 5895, 6081, 1634, 607, 2587, 3999, 839, 514, 4094, 547, 8237, 621, 883, 2587, 3999, 839, 514, 594, 269, 713, 568, 2417, 8237, 883, 2587, 3999, 839, 514, 4083, 269, 901, 4679, 519, 1973, 2604, 676, 21729, 27019, 560, 9689, 543, 6070, 12802, 269, 4935, 15646, 333, 514, 22629, 786, 2014, 513, 5786, 538, 22680, 476, 277, 269, 2368, 12970, 540, 519, 2634, 267, 18558, 267, 543, 1507, 16892, 3813, 23176, 5084, 295, 269, 1548, 1826, 540, 1216, 19261, 1131, 713, 3132, 286, 23737, 1946, 269, 5084, 295, 3123, 1216, 12802, 538, 519, 30218, 8685, 2737, 543, 10655, 28954, 269, 901, 1826, 540, 1216, 12802, 4386, 1510, 6070, 12802, 267, 543, 4386, 28772, 10999, 538, 2829, 540, 18024, 269, 4935, 4929, 1728, 1842, 558, 565, 1275, 454, 278, 269, 1548, 3940, 798, 596, 1589, 568, 519, 1034, 1271, 17280, 538, 1973, 11919, 286, 769, 22980, 628, 24945, 5052, 286, 1635, 2484, 519, 1034, 1271, 17280, 585, 4509, 3679, 1532, 848, 3666, 538, 519, 1973, 568, 519, 3327, 545, 14092, 573, 1532, 545, 12365, 622, 17280, 269, 12920, 18331, 849, 6411, 607, 513, 9063, 17280, 538, 519, 681, 6195, 269, 12920, 18331, 3940, 666, 10941, 4601, 12622, 2901, 670, 266, 630, 1729, 519, 3940, 264, 610, 744, 273, 630, 1729, 519, 3171, 540, 519, 646, 1889, 1895, 1070, 855, 602, 950, 835, 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 ]
[ 3546, 952, 3593, 4732, 4721, 5157, 4940, 531, 633, 2652, 8771, 912, 7386, 1820, 6600, 262, 346, 12528, 4732, 4721, 5157, 4940, 4067, 348, 5073, 1038, 1820, 3488, 17210, 825, 1219, 4159, 24449, 1112, 800, 4311, 2187, 1038, 1820, 3488, 2791, 723, 4465, 519, 6370, 256, 5073, 1038, 1820, 3488, 17210, 825, 1219, 3651, 5332, 1868, 4311, 2187, 1038, 1582, 269, 12528, 20508, 815, 1412, 32156, 476, 272, 7055, 1038, 1582, 269, 31463, 20508, 815, 1412, 32156, 476, 273, 28847, 825, 1948, 594, 614, 919, 998, 513, 3593, 781, 9635, 267, 3478, 4358, 543, 10678, 6753, 454, 825, 1219, 1747, 5334, 4721, 4311, 267, 3593, 2187, 1038, 1582, 269, 5891, 4671, 1248, 263, 12528, 994, 1038, 1582, 269, 5891, 14682, 5090, 263, 12528, 994, 1038, 585, 1775, 538, 2039, 12759, 263, 12528, 4732, 4721, 15892, 2018, 4570, 318, 754, 815, 8771, 454, 2018, 1247, 4570, 318, 754, 2652, 8771, 912, 3546, 1376, 29223, 815, 1582, 269, 2897, 5334, 1222, 318, 11034, 532, 9078, 6327, 263, 12528, 267, 1775, 994, 3546, 4570, 318, 754, 815, 1582, 269, 2897, 5334, 1222, 318, 2056, 9078, 6327, 263, 12528, 267, 1775, 267, 1376, 29223, 2020, 825, 1948, 8871, 14186, 3593, 585, 1535, 543, 586, 4087, 540, 519, 6928, 543, 4570, 919, 454, 825, 1219, 1205, 318, 6570, 4311, 267, 3593, 267, 1775, 267, 7470, 25292, 267, 1376, 318, 528, 318, 754, 25292, 267, 13307, 25292, 2187, 1038, 4570, 815, 8771, 454, 1038, 1247, 630, 20777, 2652, 8771, 2187, 2018, 1064, 318, 13765, 815, 8771, 454, 2018, 1247, 630, 1842, 318, 13765, 2652, 8771, 2187, 3546, 1064, 815, 1592, 263, 12528, 4877, 1157, 9078, 6327, 18692, 7386, 1775, 267, 1376, 318, 528, 318, 754, 25292, 267, 13307, 25292, 4917, 3546, 1064, 318, 13765, 815, 1582, 269, 20777, 622, 318, 6570, 17750, 263, 12528, 267, 1064, 994, 3546, 952, 1064, 318, 13765, 2652, 8771, 912, 7386, 1582, 269, 13765, 318, 604, 318, 1613, 14682, 5090, 263, 12528, 267, 13307, 25292, 267, 1064, 994, 2018, 1064, 815, 1582, 26769, 3200, 15461, 13448, 14729, 263, 1842, 994, 2018, 7470, 318, 13765, 815, 1582, 269, 20777, 622, 318, 5976, 514, 14682, 5090, 263, 12528, 267, 1064, 994, 2018, 952, 1376, 318, 528, 318, 754, 25292, 2652, 1412, 11034, 532, 262, 610, 13307, 25292, 2652, 1412, 3430, 871, 12466, 3546, 16580, 318, 13765, 815, 1582, 269, 20777, 622, 5332, 334, 318, 11034, 6831, 3326, 1707, 18692, 7386, 3593, 267, 1064, 267, 7470, 25292, 994, 2018, 3116, 912, 3546, 1948, 4347, 5435, 338, 16580, 2638, 547, 6936, 950, 3168, 585, 10678, 2990, 2094, 519, 1982, 568, 2469, 547, 19472, 602, 2663, 454, 3546, 16580, 318, 13765, 815, 6936, 454, 2018, 952, 7470, 318, 13765, 2652, 6936, 543, 16580, 318, 13765, 2652, 6936, 912, 3546, 4570, 815, 6936, 454, 2018, 3116, 912, 3546, 1820, 3488, 1103, 20777, 3403, 267, 2119, 1586, 269, 5073, 1038, 2132, 1064, 692, 825, 1948, 4258, 4242, 952, 3593, 6499, 547, 2070, 741, 7470, 454, 825, 1219, 2638, 318, 604, 318, 1613, 14682, 5090, 4311, 267, 3593, 267, 13307, 25292, 267, 1064, 2187, 1038, 952, 1412, 8339, 21860, 263, 1842, 1040, 12294, 3890, 2652, 1412, 334, 4117, 262, 543, 13307, 25292, 2652, 1412, 3430, 871, 12466, 2018, 1582, 269, 5891, 14682, 5090, 263, 12528, 994, 1038, 8640, 1412, 8339, 21860, 263, 1842, 1040, 12294, 3890, 2652, 1412, 339, 13759, 262, 543, 13307, 25292, 2652, 1412, 3430, 871, 12466, 2018, 1582, 269, 5891, 4671, 13759, 14682, 5090, 263, 12528, 994, 1038, 3116, 912, 2018, 1820, 3488, 1103, 20777, 3403, 267, 2119, 1586, 9538, 2020, 825, 1948, 8871, 14186, 3593, 585, 4358, 1535, 543, 586, 4087, 540, 519, 6928, 1287, 10525, 606, 8242, 7470, 454, 825, 1219, 1747, 5334, 1222, 318, 11034, 532, 9078, 6327, 4311, 267, 3593, 267, 1775, 2187, 1038, 1376, 29223, 815, 1582, 10947, 318, 6570, 18692, 2018, 3593, 267, 1775, 267, 1412, 334, 4117, 3299, 1412, 11034, 532, 3299, 1412, 10293, 5073, 1038, 3593, 269, 4580, 26942, 314, 11034, 29223, 314, 272, 316, 6012, 11034, 29223, 314, 271, 14963, 815, 3593, 4732, 4721, 5157, 4940, 32002, 454, 1038, 1582, 269, 5891, 14682, 5090, 263, 12528, 994, 1038, 3593, 269, 4580, 26942, 314, 11034, 29223, 314, 272, 316, 6012, 11034, 29223, 314, 271, 14963, 815, 1412, 314, 9948, 7055, 1038, 2132, 1376, 29223, 692, 825, 1948, 8871, 14186, 3593, 585, 606, 10678, 1535, 543, 586, 4087, 540, 519, 6928, 267, 4570, 919, 621, 267, 1287, 10525, 606, 8242, 7470, 454, 825, 1219, 1747, 5334, 1222, 318, 2056, 9078, 6327, 4311, 267, 3593, 267, 1775, 267, 1376, 29223, 2187, 1038, 4570, 815, 8771, 454, 1038, 1247, 630, 20777, 2652, 8771, 2187, 2018, 1439, 29223, 815, 1582, 10947, 318, 6570, 18692, 3546, 3593, 267, 1775, 267, 1412, 334, 4117, 3299, 1412, 2056, 3299, 1412, 10293, 5073, 2018, 4570, 28747, 815, 1582, 269, 20777, 622, 5334, 1222, 28747, 18692, 3546, 3593, 267, 1775, 267, 1376, 29223, 267, 1439, 29223, 994, 2018, 4570, 6831, 3326, 1707, 815, 1582, 4732, 335, 11921, 5334, 1222, 18692, 3546, 3593, 267, 1775, 267, 1376, 29223, 267, 1439, 29223, 267, 1412, 20777, 622, 5073, 2018, 952, 4570, 28747, 2652, 8771, 610, 4570, 6831, 3326, 1707, 2652, 8771, 912, 3546, 1582, 269, 27234, 5334, 1222, 318, 1723, 24002, 263, 12528, 267, 1775, 994, 3546, 4570, 815, 8771, 454, 3546, 1820, 3488, 1103, 20777, 3403, 267, 2469, 1394, 547, 11093, 4358, 4087, 269, 5073, 3546, 1582, 269, 5891, 14682, 5090, 263, 12528, 994, 3546, 2132, 8771, 454, 2018, 3116, 912, 3546, 4570, 815, 6936, 454, 3546, 1582, 4732, 335, 11921, 5334, 1222, 263, 12528, 267, 1775, 267, 1376, 29223, 267, 1439, 29223, 267, 1412, 4944, 11921, 5073, 1038, 1582, 269, 5891, 14682, 5090, 263, 12528, 994, 1038, 2132, 6936, 692, 825, 1948, 6282, 525, 519, 6928, 593, 519, 7470, 454, 825, 1219, 838, 11921, 5334, 1222, 4311, 267, 3593, 267, 1775, 267, 1376, 29223, 267, 1439, 29223, 267, 1826, 2187, 1038, 952, 1376, 29223, 314, 271, 316, 2652, 1439, 29223, 314, 271, 316, 543, 1376, 29223, 314, 272, 316, 3436, 1439, 29223, 314, 272, 14158, 2018, 4287, 815, 1412, 1575, 7055, 2018, 1582, 269, 817, 793, 318, 1723, 24002, 15461, 5334, 1222, 18692, 3546, 3593, 267, 1775, 267, 1376, 29223, 267, 4287, 994, 2018, 952, 1826, 2652, 1412, 4944, 11921, 12466, 3546, 1582, 269, 817, 793, 318, 1723, 24002, 15461, 14682, 5090, 263, 12528, 267, 1775, 267, 1376, 29223, 267, 4287, 994, 2018, 3116, 912, 3546, 4570, 815, 1582, 269, 20777, 622, 5332, 334, 6831, 3326, 2888, 18692, 7386, 3593, 267, 1775, 267, 1376, 29223, 267, 4287, 994, 3546, 2132, 4570, 454, 1038, 8640, 1376, 29223, 314, 271, 316, 2652, 1439, 29223, 314, 271, 316, 543, 1376, 29223, 314, 272, 316, 2999, 1439, 29223, 314, 272, 14158, 2018, 4287, 815, 1412, 6658, 7055, 2018, 1582, 269, 817, 793, 318, 1723, 24002, 15461, 5334, 1222, 18692, 3546, 3593, 267, 1775, 267, 1376, 29223, 267, 4287, 994, 2018, 952, 1826, 2652, 1412, 4944, 11921, 12466, 3546, 1582, 269, 817, 793, 318, 1723, 24002, 15461, 14682, 5090, 263, 12528, 267, 1775, 267, 1376, 29223, 267, 4287, 994, 2018, 3116, 912, 3546, 4570, 815, 1582, 269, 20777, 622, 5332, 334, 6831, 3326, 2888, 18692, 7386, 3593, 267, 1775, 267, 1376, 29223, 267, 4287, 994, 3546, 2132, 4570, 454, 1038, 8640, 1376, 29223, 314, 272, 316, 2652, 1439, 29223, 314, 272, 316, 543, 1376, 29223, 314, 271, 316, 3436, 1439, 29223, 314, 271, 14158, 2018, 4287, 815, 1412, 3847, 7055, 2018, 1582, 269, 817, 793, 318, 1723, 24002, 15461, 5334, 1222, 18692, 3546, 3593, 267, 1775, 267, 1376, 29223, 267, 4287, 994, 2018, 952, 1826, 2652, 1412, 4944, 11921, 12466, 3546, 1582, 269, 817, 793, 318, 1723, 24002, 15461, 14682, 5090, 263, 12528, 267, 1775, 267, 1376, 29223, 267, 4287, 994, 2018, 3116, 912, 3546, 4570, 815, 1582, 269, 20777, 622, 5332, 334, 6831, 3326, 2888, 18692, 7386, 3593, 267, 1775, 267, 1376, 29223, 267, 4287, 994, 3546, 2132, 4570, 454, 1038, 3116, 912, 2018, 4287, 815, 1412, 2431, 7055, 2018, 1582, 269, 817, 793, 318, 1723, 24002, 15461, 5334, 1222, 18692, 3546, 3593, 267, 1775, 267, 1376, 29223, 267, 4287, 994, 2018, 952, 1826, 2652, 1412, 4944, 11921, 12466, 3546, 1582, 269, 817, 793, 318, 1723, 24002, 15461, 14682, 5090, 263, 12528, 267, 1775, 267, 1376, 29223, 267, 4287, 994, 2018, 3116, 912, 3546, 4570, 815, 1582, 269, 20777, 622, 5332, 334, 6831, 3326, 2888, 18692, 7386, 3593, 267, 1775, 267, 1376, 29223, 267, 4287, 994, 3546, 2132, 4570, 692, 825, 1948, 25849, 338, 519, 1535, 543, 586, 10974, 540, 519, 6928, 547, 519, 3593, 781, 1699, 6928, 1843, 454, 825, 1219, 3651, 318, 1723, 24002, 15461, 5334, 1222, 4311, 267, 3593, 267, 1775, 267, 1376, 29223, 267, 4287, 2187, 1038, 952, 4287, 2652, 1412, 1575, 12466, 2018, 3593, 4732, 4721, 5157, 4940, 343, 318, 21752, 6910, 263, 11034, 29223, 314, 271, 7481, 2018, 585, 1003, 538, 2039, 263, 12528, 4732, 4721, 5157, 4940, 26319, 2187, 3546, 3593, 4732, 4721, 5157, 4940, 344, 318, 21752, 6910, 18692, 7386, 1376, 29223, 314, 272, 316, 910, 1003, 994, 1038, 8640, 4287, 2652, 1412, 6658, 12466, 2018, 3593, 4732, 4721, 5157, 4940, 343, 318, 21752, 6910, 263, 11034, 29223, 314, 271, 7481, 2018, 585, 1003, 538, 2039, 263, 12528, 4732, 4721, 5157, 4940, 26319, 2187, 3546, 3593, 4732, 4721, 5157, 4940, 344, 318, 21752, 6910, 18692, 7386, 1376, 29223, 314, 272, 316, 1341, 1003, 994, 1038, 8640, 4287, 2652, 1412, 3847, 12466, 2018, 3593, 4732, 4721, 5157, 4940, 344, 318, 21752, 6910, 263, 11034, 29223, 314, 272, 7481, 2018, 585, 1003, 538, 2039, 263, 12528, 4732, 4721, 5157, 4940, 26319, 2187, 3546, 3593, 4732, 4721, 5157, 4940, 343, 318, 21752, 6910, 18692, 7386, 1376, 29223, 314, 271, 316, 910, 1003, 994, 1038, 3116, 912, 2018, 3593, 4732, 4721, 5157, 4940, 344, 318, 21752, 6910, 263, 11034, 29223, 314, 272, 7481, 2018, 585, 1003, 538, 2039, 263, 12528, 4732, 4721, 5157, 4940, 26319, 2187, 3546, 3593, 4732, 4721, 5157, 4940, 343, 318, 21752, 6910, 18692, 7386, 1376, 29223, 314, 271, 316, 1341, 1003, 2020, 825, 1948, 25849, 338, 519, 1535, 543, 586, 10974, 540, 519, 6928, 547, 519, 3593, 781, 7470, 454, 825, 1219, 3651, 318, 1723, 24002, 15461, 14682, 5090, 4311, 267, 3593, 267, 1775, 267, 1376, 29223, 267, 4287, 2187, 1038, 952, 4287, 2652, 1412, 1575, 262, 610, 4287, 2652, 1412, 6658, 12466, 2018, 585, 1064, 538, 3593, 4732, 4721, 5157, 4940, 344, 318, 21752, 912, 3546, 3593, 269, 4580, 26942, 314, 1842, 6012, 11034, 29223, 314, 271, 14963, 815, 3593, 4732, 4721, 5157, 4940, 32002, 454, 1038, 3116, 912, 2018, 585, 1064, 538, 3593, 4732, 4721, 5157, 4940, 343, 318, 21752, 912, 3546, 3593, 269, 4580, 26942, 314, 11034, 29223, 314, 272, 316, 6012, 1842, 316, 815, 3593, 4732, 4721, 5157, 4940, 32002, 692, 825, 1948, 7435, 956, 519, 7954, 585, 513, 3755, 4323, 2490, 454, 825, 1219, 1491, 4671, 1248, 4311, 267, 3593, 267, 1727, 2187, 1038, 1582, 269, 5891, 4671, 1248, 263, 12528, 994, 1038, 1582, 269, 5891, 4671, 13759, 14682, 5090, 263, 12528, 994, 1038, 1582, 269, 5891, 23962, 263, 12528, 267, 1727, 994, 1038, 4323, 29223, 815, 1582, 10947, 318, 6570, 263, 12528, 267, 476, 271, 267, 1412, 339, 13759, 3299, 1412, 3299, 1412, 3430, 871, 5073, 1038, 1582, 269, 3430, 871, 9078, 6327, 263, 12528, 267, 1727, 267, 4323, 29223, 994, 1038, 1582, 269, 26303, 23962, 263, 12528, 267, 1727, 2020, 825, 1948, 1306, 802, 3593, 1141, 789, 1616, 547, 4323, 267, 519, 3651, 338, 513, 5734, 610, 4413, 454, 825, 1219, 4323, 9078, 6327, 4311, 267, 3593, 267, 1727, 267, 4323, 29223, 2187, 1038, 4831, 815, 476, 271, 454, 1038, 585, 1775, 538, 2039, 12759, 263, 31463, 4732, 4721, 15892, 2018, 952, 1727, 269, 4580, 26942, 314, 3430, 871, 29223, 314, 272, 316, 6012, 3430, 871, 29223, 314, 271, 14963, 2652, 1727, 4732, 4721, 5157, 4940, 32002, 912, 3546, 1582, 269, 817, 793, 20189, 527, 25292, 15461, 14682, 337, 1749, 263, 12528, 267, 1727, 267, 4323, 29223, 267, 1412, 295, 3951, 5073, 3546, 1582, 19709, 531, 5091, 600, 720, 15461, 5334, 1222, 263, 31463, 267, 1775, 994, 3546, 1582, 269, 13765, 318, 1721, 5334, 1074, 263, 31463, 267, 1775, 994, 2018, 3116, 912, 3546, 4831, 6834, 476, 272, 454, 1038, 952, 4831, 2652, 7003, 263, 31463, 4732, 4721, 2187, 2018, 1582, 269, 817, 793, 20189, 527, 25292, 15461, 14682, 337, 1749, 263, 12528, 267, 1727 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1118, 891, 16212, 22286, 3591, 256, 901, 1976, 9564, 568, 1256, 5078, 585, 14987, 1932, 267, 865, 952, 596, 1616, 547, 1118, 1945, 909, 585, 519, 1101, 942, 998, 1976, 9564, 267, 891, 616, 3501, 256, 2913, 779, 2253, 2336, 290, 1393, 4469, 760, 4469, 3591, 7880, 9564, 14958, 1280, 8866, 454, 307, 8962, 1299, 4675, 15533, 454, 268, 476, 275, 27339, 27691, 9464, 7179, 539, 7433, 16847, 2060, 30577, 6519, 17121, 454, 14503, 760, 4469, 3591, 7880, 9564, 27491, 454, 3721, 1948, 272, 281, 10435, 589, 26432, 11511, 848, 2201, 7433, 454, 24375, 713, 4739, 676, 2921, 513, 1507, 14776, 11057, 1957, 6656, 609, 513, 11909, 9102, 2427, 543, 513, 3043, 10750, 2427, 269, 9255, 519, 1957, 13156, 519, 3043, 10750, 2427, 540, 621, 269, 674, 1245, 519, 1957, 538, 3368, 689, 519, 2427, 8728, 936, 1142, 824, 267, 1118, 513, 1212, 848, 267, 543, 11200, 1586, 269, 1411, 786, 1294, 513, 7299, 1212, 848, 593, 519, 1957, 563, 3721, 1948, 273, 281, 674, 13783, 3798, 2471, 1677, 634, 4741, 454, 293, 1245, 519, 14776, 1957, 689, 519, 1283, 543, 5377, 8728, 547, 1106, 513, 8880, 1212, 848, 1932, 543, 596, 786, 1294, 519, 10167, 540, 1312, 519, 1212, 1162, 799, 786, 581, 519, 4099, 540, 519, 1957, 563, 3086, 267, 16784, 519, 5377, 6316, 547, 519, 4099, 267, 543, 1118, 513, 476, 272, 270, 273, 628, 1212, 848, 563, 3721, 1948, 274, 281, 674, 13783, 634, 674, 1245, 539, 17121, 454, 293, 1245, 519, 25649, 2427, 547, 519, 8880, 1212, 848, 547, 1106, 513, 476, 272, 270, 275, 628, 1212, 848, 267, 543, 11200, 1586, 269, 1411, 786, 1294, 476, 274, 1212, 1162, 538, 2698, 2630, 519, 8880, 1212, 848, 1775, 4318, 269, 5580, 476, 272, 270, 275, 628, 1212, 848, 267, 476, 272, 270, 273, 628, 1212, 848, 267, 543, 2630, 476, 272, 270, 275, 628, 1212, 848, 563, 3721, 1948, 275, 281, 10435, 6744, 11511, 1162, 454, 2026, 596, 1500, 476, 274, 1212, 1162, 2630, 519, 8880, 1212, 848, 267, 1118, 476, 274, 1657, 519, 8880, 1212, 848, 269, 12414, 519, 1957, 547, 1294, 519, 7299, 1212, 848, 607, 519, 8880, 1212, 848, 543, 13030, 17930, 585, 519, 8880, 1212, 848, 269, 3767, 267, 538, 519, 1482, 1259, 267, 1118, 519, 476, 274, 1212, 1162, 1657, 543, 2630, 713, 8880, 1212, 848, 269, 1411, 786, 1106, 2638, 1212, 1162, 936, 519, 1957, 563, 3086, 267, 16212, 519, 1957, 547, 519, 11909, 9102, 1957, 2427, 543, 16784, 621, 538, 3368, 689, 519, 8880, 1212, 848, 563, 3721, 1948, 276, 281, 1133, 19507, 13966, 634, 476, 272, 270, 275, 628, 11511, 848, 454, 4462, 19507, 519, 1957, 689, 519, 4395, 5580, 476, 272, 270, 275, 628, 1212, 848, 547, 1294, 513, 4130, 14776, 3337, 540, 519, 9102, 1957, 543, 1507, 3043, 12730, 593, 519, 5011, 563, 3721, 1948, 277, 281, 674, 13783, 13966, 634, 19881, 674, 1245, 454, 293, 1245, 519, 824, 2427, 540, 519, 1957, 547, 519, 1394, 2427, 2059, 519, 1482, 3105, 16784, 1775, 4318, 269, 5580, 476, 272, 270, 275, 628, 1212, 848, 269, 1411, 786, 1294, 513, 2462, 6906, 540, 9102, 1957, 543, 476, 273, 1507, 3043, 12730, 593, 519, 5011, 563, 3721, 1948, 278, 281, 23453, 532, 2290, 9540, 21121, 20553, 6271, 454, 14503, 760, 519, 4137, 547, 519, 824, 2427, 543, 2059, 1312, 519, 1212, 1162, 267, 1175, 1985, 547, 519, 7299, 1212, 848, 267, 543, 16784, 519, 4137, 547, 7696, 835, 1507, 3043, 6906, 883, 519, 824, 689, 519, 1283, 6679, 269, 1411, 786, 1106, 513, 588, 1905, 540, 519, 1793, 23124, 563, 3721, 1948, 279, 281, 674, 13783, 634, 8672, 539, 3487, 454, 21607, 519, 1507, 6906, 883, 519, 824, 538, 513, 1259, 602, 789, 936, 835, 1776, 269, 674, 1245, 519, 11329, 851, 540, 519, 4137, 693, 519, 6587, 2427, 540, 519, 588, 1905, 1394, 2427, 540, 621, 2059, 519, 1212, 848, 593, 519, 1360, 1439, 269, 901, 786, 581, 519, 5580, 851, 540, 707, 1793, 23124, 563, 3721, 1948, 280, 281, 674, 13783, 17121, 3798, 2471, 2986, 6271, 7433, 454, 12648, 1776, 14776, 11057, 1957, 6656, 267, 835, 2427, 9102, 543, 519, 824, 2427, 10750, 3043, 269, 674, 1245, 621, 538, 30556, 689, 519, 6587, 8728, 547, 1106, 519, 7299, 543, 8880, 1212, 848, 12969, 532, 538, 519, 4099, 563, 293, 1245, 519, 2427, 8728, 540, 519, 14776, 547, 519, 4099, 543, 1106, 1212, 1162, 563, 3721, 1948, 1015, 281, 674, 13783, 634, 674, 1245, 539, 590, 1938, 454, 293, 1245, 519, 25649, 5011, 540, 519, 1957, 547, 519, 7299, 1212, 848, 563, 3721, 1948, 1556, 281, 674, 13783, 634, 7612, 769, 21009, 454, 293, 1245, 713, 4137, 538, 3368, 689, 519, 3476, 2427, 610, 267, 16784, 519, 1283, 7944, 547, 519, 5377, 7944, 563, 3721, 1948, 1321, 281, 674, 13783, 634, 674, 1245, 539, 17121, 779, 3798, 2471, 1677, 634, 11511, 848, 454, 293, 1245, 519, 8728, 540, 519, 25649, 2427, 547, 519, 1647, 7299, 1212, 848, 267, 1118, 1212, 1162, 267, 543, 11200, 1586, 269, 3767, 267, 2059, 891, 1212, 1162, 16784, 519, 8728, 883, 519, 25649, 2427, 547, 2285, 513, 11329, 3337, 676, 6679, 519, 2451, 543, 1318, 5011, 540, 519, 4137, 543, 11319, 538, 519, 8728, 2059, 519, 1212, 1162, 563, 3721, 1948, 1724, 281, 674, 13783, 634, 7046, 15134, 17121, 2986, 634, 7612, 454, 293, 1245, 519, 1394, 2427, 1775, 4318, 269, 1930, 15134, 2427, 540, 519, 4137, 547, 519, 6587, 2427, 269, 901, 786, 581, 519, 1394, 851, 540, 707, 1793, 23124, 563, 3721, 1948, 1691, 281, 11835, 1456, 634, 20668, 454, 11900, 1068, 519, 5580, 851, 540, 519, 1793, 23124, 883, 519, 1394, 835, 689, 519, 11329, 2427, 563, 1607, 1772, 634, 15937, 6733, 2986, 2659, 7433, 4469, 760, 4469, 3591, 2336, 2690, 519, 2063, 1900, 267, 1118, 1776, 1793, 23124, 538, 519, 1482, 1259, 596, 1500, 519, 3105, 835, 563, 307, 3385, 256, 1411, 723, 6368, 6192, 1818, 707, 20538, 16212, 22286, 3591, 2336, 5445, 616, 1631, 4712, 547, 581, 4636, 676, 707, 2370, 31119, 256, 1215, 3579, 568, 602, 26834, 594, 1745, 899, 594, 6557, 513, 6752, 14704, 2870, 1945, 547, 5957, 1256, 952, 621, 568, 585, 519, 31119, 256, 1411, 666, 1256, 30164, 519, 16212, 22286, 3591, 547, 1118, 873, 6474, 707, 6564, 779, 28459, 256, 1411, 666, 1711, 891, 16212, 22286, 3591, 540, 1022, 824, 11954, 610, 4806, 539, 1957, 267, 610, 30164, 873, 1210, 519, 4739, 15090, 3149, 267, 19273, 267, 610, 4376, 256, 2659, 9345, 543, 5876, 616, 519, 3970, 2336, 28775, 596, 1185, 1187, 1818, 713, 4739, 256, 9523, 621, 609, 938, 14609, 625, 267, 849, 267, 2995, 721, 707, 5955, 538, 519, 8292, 3296, 2630, 256, 1284, 1131, 2648, 547, 5873, 689, 596, 2336, 2791, 2904, 4746, 6145, 454, 268, 1215, 547, 2981, 707, 16212, 1166, 3591, 609, 3525, 623, 17690, 543, 9925, 749, 2044, 454, 268, 595, 1393, 16212, 1166, 3591, 689, 26781, 454, 268, 7433, 18237, 20253, 601, 27003, 14958, 20861, 1280, 8866, 454, 268, 7822, 995, 670, 8354, 32120, 7433, 14958, 20861, 1280, 8866, 454, 268, 7433, 28981, 595, 1393, 570, 22061, 14958, 20861, 1280, 8866, 0, 3086, 602, 519, 8701, 1554, 6238, 547, 1118, 3294, 5433, 811, 543, 811, 538, 1164, 4234, 6421, 267, 649, 3580, 1995, 21765, 5180, 519, 9219, 1934, 538, 966, 6758, 21417, 538, 1447, 982, 476, 273, 4374, 256, 2859, 21765, 1797, 811, 4544, 22839, 256, 1809, 798, 596, 917, 1946, 519, 6607, 568, 4544, 286, 5901, 593, 2542, 547, 1265, 856, 2336, 23409, 568, 606, 13590, 5951, 267, 1175, 899, 5925, 6329, 267, 14580, 2314, 267, 543, 1256, 519, 5982, 8507, 689, 5925, 13808, 256, 634, 1152, 3017, 1063, 782, 891, 1114, 13590, 6329, 568, 741, 15423, 563, 10214, 519, 1769, 602, 649, 2965, 13498, 609, 938, 1378, 4064, 568, 1500, 909, 540, 2789, 20966, 269, 1656, 547, 1142, 543, 782, 540, 891, 20966, 540, 1769, 14687, 513, 1114, 7990, 256, 1924, 267, 519, 1769, 602, 2501, 547, 721, 689, 519, 6129, 543, 799, 649, 1294, 267, 568, 1500, 909, 540, 2789, 15437, 256, 2986, 782, 15437, 267, 547, 581, 3169, 2336, 9617, 899, 606, 5836, 779, 6329, 267, 1769, 12599, 519, 1482, 1259, 281, 538, 6329, 256, 9791, 1769, 12599, 538, 10156, 6329, 630, 5976, 513, 10156, 15423, 264, 543, 2699, 1769, 12599, 538, 3476, 6329, 630, 14075, 518, 20966, 1916, 2691, 519, 7943, 267, 609, 782, 922, 15437, 267, 10301, 3047, 267, 621, 10742, 519, 4541, 779, 5790, 256, 4935, 267, 621, 6238, 15025, 609, 1585, 5536, 538, 519, 2011, 267, 971, 607, 6263, 4672, 14848, 267, 7452, 267, 1216, 20256, 543, 1256, 3154, 6675, 602, 1118, 909, 519, 2011, 3294, 256, 1656, 2899, 519, 1769, 6329, 2170, 609, 891, 5536, 267, 621, 4991, 16559, 2336, 2690, 513, 5951, 547, 2170, 609, 513, 9325, 267, 519, 1079, 1590, 581, 540, 519, 1482, 1931, 540, 2450, 269, 9540, 518, 5536, 14649, 2110, 15423, 1769, 630, 19990, 264, 6793, 269, 9540, 2011, 6675, 267, 799, 1118, 909, 519, 3003, 5790, 267, 14649, 519, 4544, 5057, 540, 7943, 519, 1034, 267, 543, 538, 782, 8846, 267, 1317, 540, 922, 2110, 15423, 256, 1656, 713, 568, 1946, 267, 1282, 513, 13566, 1554, 267, 10876, 596, 1413, 267, 519, 6607, 568, 4544, 2336, 2710, 596, 917, 1946, 10877, 1115, 616, 26070, 286, 1403, 711, 267, 1224, 713, 2376, 547, 1265, 856, 256, 0, 763, 1034, 2596, 3364, 519, 1617, 9014, 1281, 568, 2268, 519, 6453, 543, 993, 704, 720, 269, 21890, 514, 1617, 12281, 616, 519, 3070, 585, 2348, 4909, 9055, 267, 607, 713, 31942, 1281, 782, 519, 30076, 5773, 269, 634, 2596, 3364, 568, 547, 1747, 513, 11281, 593, 621, 269, 634, 21890, 514, 1617, 9014, 568, 1031, 547, 5496, 1346, 3059, 2609, 543, 519, 11387, 538, 519, 6679, 547, 519, 3892, 8756, 269, 1703, 616, 1100, 2143, 10372, 593, 519, 4950, 593, 875, 547, 946, 513, 1617, 9014, 269, 769, 713, 2376, 267, 649, 786, 13713, 1865, 7893, 6453, 267, 993, 704, 720, 267, 543, 15364, 563, 23087, 540, 12937, 454, 14112, 19672, 6168, 21890, 514, 5564, 9014, 454, 298, 548, 514, 568, 835, 540, 519, 7887, 12478, 282, 621, 711, 1152, 23619, 6325, 2472, 855, 849, 6763, 909, 609, 1390, 6392, 547, 11886, 519, 7569, 540, 922, 5561, 269, 4595, 476, 6977, 278, 267, 789, 723, 1044, 5665, 538, 713, 8756, 269, 21890, 514, 5564, 12281, 616, 9280, 609, 10081, 8573, 4474, 2934, 602, 616, 5827, 540, 7893, 8028, 270, 17584, 6453, 267, 18041, 699, 267, 543, 4187, 269, 21890, 514, 1617, 12281, 666, 3927, 5173, 519, 2837, 267, 4908, 267, 3665, 10279, 4783, 267, 543, 1449, 1019, 3941, 269, 634, 1617, 12281, 666, 1449, 1587, 13274, 902, 602, 616, 14311, 2966, 585, 27733, 538, 891, 3871, 269, 634, 1062, 779, 3919, 814, 1044, 6378, 1310, 1296, 540, 2361, 1382, 269, 21890, 514, 1617, 12281, 616, 16041, 609, 865, 1082, 5499, 543, 942, 22766, 2934, 563, 1692, 547, 1449, 519, 993, 1186, 609, 513, 21890, 514, 1617, 9014, 888, 298, 548, 514, 1617, 12281, 616, 865, 1454, 5827, 540, 16326, 782, 519, 6959, 538, 513, 31942, 269, 3371, 649, 786, 1294, 519, 2143, 1184, 540, 4152, 519, 993, 1186, 609, 513, 21890, 514, 1617, 9014, 2676, 2791, 991, 547, 1449, 519, 12136, 2012, 30066, 593, 519, 3382, 540, 519, 6007, 610, 30517, 269, 898, 568, 1732, 547, 3313, 922, 5021, 993, 704, 720, 269, 2991, 596, 723, 7923, 519, 1617, 9014, 547, 519, 5547, 267, 4180, 602, 519, 3312, 11281, 568, 15951, 585, 519, 993, 704, 720, 568, 2629, 269, 1703, 568, 513, 25084, 585, 519, 4295, 5547, 269, 2290, 540, 519, 1034, 3532, 2959, 568, 602, 621, 786, 31495, 13133, 519, 16977, 5021, 993, 704, 720, 269, 1411, 991, 547, 1265, 519, 23094, 547, 1265, 519, 1617, 9014, 779, 5021, 993, 1186, 269, 898, 568, 2241, 547, 6023, 519, 5207, 2837, 693, 519, 1394, 540, 519, 3926, 269, 1411, 991, 547, 979, 998, 519, 6044, 8261, 585, 1697, 8647, 269, 898, 568, 2241, 547, 2638, 538, 1063, 519, 5207, 540, 519, 3866, 7397, 269, 901, 568, 519, 1826, 585, 4152, 11826, 1699, 693, 519, 5207, 3866, 5468, 563, 1103, 713, 3942, 267, 519, 5021, 993, 1186, 1223, 7654, 581, 9949, 532, 998, 519, 968, 26376, 892, 23094, 593, 519, 1617, 9014, 269, 634, 11443, 779, 5021, 1699, 2095, 1223, 2887, 2110, 607, 621, 7575, 1472, 519, 3109, 543, 2699, 28525, 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 ]
[ 476, 4037, 912, 1038, 1820, 3488, 2004, 274, 266, 4037, 815, 476, 276, 4281, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10602, 912, 1038, 1820, 3488, 2004, 274, 266, 10602, 815, 476, 6872, 280, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6507, 912, 1038, 1820, 3488, 2004, 274, 266, 6507, 815, 476, 276, 3199, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 4281, 912, 1038, 1820, 3488, 2004, 274, 266, 4281, 815, 476, 6812, 272, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 8064, 912, 1038, 1820, 3488, 2004, 274, 266, 8064, 815, 476, 6812, 273, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 3199, 912, 1038, 1820, 3488, 2004, 274, 266, 3199, 815, 476, 6812, 274, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10037, 912, 1038, 1820, 3488, 2004, 274, 266, 10037, 815, 476, 6812, 275, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 11025, 912, 1038, 1820, 3488, 2004, 274, 266, 11025, 815, 476, 276, 5952, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10695, 912, 1038, 1820, 3488, 2004, 274, 266, 10695, 815, 476, 6812, 277, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10019, 912, 1038, 1820, 3488, 2004, 274, 266, 10019, 815, 476, 6812, 278, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5952, 912, 1038, 1820, 3488, 2004, 274, 266, 5952, 815, 476, 276, 6434, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10436, 912, 1038, 1820, 3488, 2004, 274, 266, 10436, 815, 476, 6812, 280, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 9262, 912, 1038, 1820, 3488, 2004, 274, 266, 9262, 815, 476, 276, 3445, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6434, 912, 1038, 1820, 3488, 2004, 274, 266, 6434, 815, 476, 6795, 272, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 8660, 912, 1038, 1820, 3488, 2004, 274, 266, 8660, 815, 476, 30020, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 3445, 912, 1038, 1820, 3488, 2004, 274, 266, 3445, 815, 476, 6795, 274, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 11011, 912, 1038, 1820, 3488, 2004, 274, 266, 11011, 815, 476, 6795, 275, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10844, 912, 1038, 1820, 3488, 2004, 274, 266, 10844, 815, 476, 276, 4817, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 11152, 912, 1038, 1820, 3488, 2004, 274, 266, 11152, 815, 476, 6795, 277, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 11463, 912, 1038, 1820, 3488, 2004, 274, 266, 11463, 815, 476, 6795, 278, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 4817, 912, 1038, 1820, 3488, 2004, 274, 266, 4817, 815, 476, 6795, 279, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 9834, 912, 1038, 1820, 3488, 2004, 274, 266, 9834, 815, 476, 276, 4200, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 9032, 912, 1038, 1820, 3488, 2004, 274, 266, 9032, 815, 476, 7785, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 7176, 912, 1038, 1820, 3488, 2004, 274, 266, 7176, 815, 476, 31430, 5073, 825, 952, 1003, 272, 2652, 476, 2004, 274, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 4200, 912, 1038, 1820, 3488, 2004, 274, 266, 4200, 815, 476, 2568, 273, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2004, 912, 1038, 1820, 3488, 27843, 266, 2004, 815, 476, 4649, 275, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 7906, 912, 1038, 1820, 3488, 27843, 266, 7906, 815, 476, 27898, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 7367, 912, 1038, 1820, 3488, 27843, 266, 7367, 815, 476, 4649, 277, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 7871, 912, 1038, 1820, 3488, 27843, 266, 7871, 815, 476, 4649, 278, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 7918, 912, 1038, 1820, 3488, 27843, 266, 7918, 815, 476, 4649, 279, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 4649, 912, 1038, 1820, 3488, 27843, 266, 4649, 815, 476, 4649, 280, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6321, 912, 1038, 1820, 3488, 27843, 266, 6321, 815, 476, 28794, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6872, 912, 1038, 1820, 3488, 27843, 266, 6872, 815, 476, 6321, 272, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6812, 912, 1038, 1820, 3488, 27843, 266, 6812, 815, 476, 6321, 273, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6795, 912, 1038, 1820, 3488, 27843, 266, 6795, 815, 476, 6321, 274, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 2568, 912, 1038, 1820, 3488, 27843, 266, 2568, 815, 476, 276, 5038, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 8618, 912, 1038, 1820, 3488, 27843, 266, 8618, 815, 476, 276, 4792, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 7830, 912, 1038, 1820, 3488, 27843, 266, 7830, 815, 476, 276, 5780, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 8287, 912, 1038, 1820, 3488, 27843, 266, 8287, 815, 476, 6321, 278, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5038, 912, 1038, 1820, 3488, 27843, 266, 5038, 815, 476, 6321, 279, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 4792, 912, 1038, 1820, 3488, 27843, 266, 4792, 815, 476, 6321, 280, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5780, 912, 1038, 1820, 3488, 27843, 266, 5780, 815, 476, 31816, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6858, 912, 1038, 1820, 3488, 27843, 266, 6858, 815, 476, 6872, 272, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6924, 912, 1038, 1820, 3488, 27843, 266, 6924, 815, 476, 6872, 273, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 7597, 912, 1038, 1820, 3488, 27843, 266, 7597, 815, 476, 6872, 274, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 3583, 912, 1038, 1820, 3488, 27843, 266, 3583, 815, 476, 6872, 275, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10170, 912, 1038, 1820, 3488, 27843, 266, 10170, 815, 476, 276, 4037, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 7761, 912, 1038, 1820, 3488, 27843, 266, 7761, 815, 476, 6872, 277, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10463, 912, 1038, 1820, 3488, 27843, 266, 10463, 815, 476, 276, 6507, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10619, 912, 1038, 1820, 3488, 27843, 266, 10619, 815, 476, 276, 4281, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 4037, 912, 1038, 1820, 3488, 27843, 266, 4037, 815, 476, 6872, 280, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10602, 912, 1038, 1820, 3488, 27843, 266, 10602, 815, 476, 276, 3199, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6507, 912, 1038, 1820, 3488, 27843, 266, 6507, 815, 476, 6812, 272, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 4281, 912, 1038, 1820, 3488, 27843, 266, 4281, 815, 476, 6812, 273, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 8064, 912, 1038, 1820, 3488, 27843, 266, 8064, 815, 476, 6812, 274, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 3199, 912, 1038, 1820, 3488, 27843, 266, 3199, 815, 476, 6812, 275, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10037, 912, 1038, 1820, 3488, 27843, 266, 10037, 815, 476, 276, 5952, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 11025, 912, 1038, 1820, 3488, 27843, 266, 11025, 815, 476, 6812, 277, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10695, 912, 1038, 1820, 3488, 27843, 266, 10695, 815, 476, 6812, 278, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10019, 912, 1038, 1820, 3488, 27843, 266, 10019, 815, 476, 276, 6434, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 5952, 912, 1038, 1820, 3488, 27843, 266, 5952, 815, 476, 6812, 280, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10436, 912, 1038, 1820, 3488, 27843, 266, 10436, 815, 476, 276, 3445, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 9262, 912, 1038, 1820, 3488, 27843, 266, 9262, 815, 476, 6795, 272, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 6434, 912, 1038, 1820, 3488, 27843, 266, 6434, 815, 476, 30020, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 8660, 912, 1038, 1820, 3488, 27843, 266, 8660, 815, 476, 6795, 274, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 3445, 912, 1038, 1820, 3488, 27843, 266, 3445, 815, 476, 6795, 275, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 11011, 912, 1038, 1820, 3488, 27843, 266, 11011, 815, 476, 276, 4817, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 10844, 912, 1038, 1820, 3488, 27843, 266, 10844, 815, 476, 6795, 277, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 11152, 912, 1038, 1820, 3488, 27843, 266, 11152, 815, 476, 6795, 278, 5073, 825, 952, 1003, 272, 2652, 476, 27843, 543, 1129, 2652, 25962, 543, 1003, 273, 2652, 476, 11463, 912, 1038, 1820 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 15601, 568, 1063, 476, 273, 547, 476, 1321, 2395, 269, 634, 2589, 2063, 585, 827, 476, 274, 4374, 269, 634, 2589, 949, 581, 7646, 610, 3978, 267, 543, 2049, 1369, 519, 1101, 1614, 4374, 1310, 24931, 519, 3968, 269, 1452, 2589, 1331, 3248, 2171, 2356, 798, 713, 585, 2110, 546, 15342, 540, 942, 269, 3502, 1945, 602, 666, 581, 3144, 607, 15400, 3797, 269, 594, 917, 621, 1522, 711, 1118, 2631, 547, 930, 540, 596, 269, 1411, 2461, 4440, 6998, 1946, 621, 568, 602, 649, 666, 1406, 1175, 1491, 519, 1139, 4809, 27179, 6527, 585, 519, 1964, 540, 938, 2729, 543, 609, 602, 267, 723, 1100, 1166, 4100, 540, 15601, 286, 4270, 10416, 267, 649, 917, 602, 2348, 513, 1164, 10194, 4452, 568, 711, 519, 17046, 3815, 538, 8159, 513, 1200, 335, 2045, 27506, 269, 898, 568, 875, 519, 1560, 568, 12003, 609, 519, 3644, 269, 1924, 6038, 267, 596, 666, 581, 2921, 6527, 585, 3275, 593, 1439, 609, 707, 1560, 538, 1434, 3337, 547, 2270, 519, 3644, 865, 602, 972, 616, 1100, 2736, 8083, 855, 602, 1281, 711, 1611, 602, 519, 3644, 568, 17515, 689, 707, 1560, 269, 0, 1607, 3381, 14550, 513, 1259, 547, 3314, 875, 547, 1265, 519, 1858, 540, 513, 25671, 1355, 1210, 513, 22850, 5152, 269, 634, 1900, 8386, 9912, 5152, 568, 10483, 676, 513, 25879, 4580, 17021, 540, 1018, 519, 5152, 568, 10503, 269, 634, 3830, 1031, 568, 851, 540, 9511, 543, 568, 513, 1434, 3992, 865, 602, 596, 666, 3362, 1451, 1018, 596, 616, 9277, 547, 798, 269, 901, 13181, 3381, 1223, 581, 1031, 547, 4001, 610, 547, 1451, 875, 547, 1685, 713, 3830, 865, 602, 621, 666, 581, 5265, 4294, 563, 5970, 606, 21236, 286, 6744, 856, 782, 476, 1220, 266, 1007, 2934, 4947, 538, 25515, 476, 1724, 269, 0, 29261, 616, 2141, 10478, 585, 602, 2027, 1505, 547, 2285, 741, 1453, 606, 6316, 538, 1153, 610, 538, 741, 4948, 1272, 267, 17237, 585, 602, 12316, 1007, 1382, 593, 5042, 1646, 269, 898, 666, 581, 2938, 538, 5144, 543, 8324, 5010, 338, 875, 789, 666, 1118, 1453, 21273, 543, 1018, 1007, 5820, 786, 948, 873, 1020, 741, 2634, 971, 607, 667, 11190, 610, 2098, 4532, 269, 8616, 835, 540, 519, 1034, 3532, 1907, 585, 513, 1126, 779, 2634, 568, 1945, 602, 1153, 3214, 723, 1044, 547, 1154, 1472, 2094, 519, 22733, 2540, 2507, 9248, 563, 24145, 776, 1568, 616, 519, 13423, 727, 540, 4464, 17024, 543, 1634, 4589, 1419, 2566, 519, 2956, 540, 2542, 5708, 585, 519, 1646, 540, 3206, 269, 634, 2243, 568, 1018, 666, 1118, 519, 3017, 1063, 3988, 945, 616, 1434, 538, 19551, 543, 3988, 945, 666, 1831, 3860, 286, 634, 2626, 2501, 538, 1018, 4523, 1310, 519, 1433, 568, 1224, 269, 12056, 1453, 538, 519, 1318, 4901, 827, 1018, 789, 723, 1224, 666, 1930, 909, 513, 30162, 540, 1565, 3255, 267, 602, 267, 952, 2919, 1134, 267, 666, 26924, 873, 513, 1747, 1851, 17024, 267, 15806, 543, 5640, 269, 3371, 616, 930, 2081, 547, 1205, 519, 1655, 856, 540, 1169, 1433, 596, 543, 707, 1126, 814, 1224, 563, 13434, 16226, 519, 1650, 454, 24375, 676, 6998, 519, 1126, 827, 1018, 646, 814, 1175, 1224, 269, 5808, 616, 519, 3197, 286, 7316, 1705, 519, 1650, 4755, 286, 1548, 729, 519, 1966, 286, 1215, 729, 621, 12193, 286, 6875, 4063, 540, 707, 1126, 779, 2085, 543, 946, 1913, 602, 568, 2653, 585, 1864, 547, 1174, 269, 634, 2832, 540, 713, 1101, 1900, 568, 547, 3035, 3483, 995, 2542, 267, 865, 519, 1126, 17358, 602, 1169, 3693, 540, 519, 1650, 8309, 547, 875, 519, 1433, 568, 15874, 563, 9336, 942, 513, 1650, 568, 8737, 267, 972, 616, 2141, 2055, 602, 513, 1126, 1131, 2307, 269, 2368, 540, 891, 2055, 616, 547, 12172, 3877, 827, 519, 1650, 607, 1134, 607, 2055, 547, 948, 873, 1174, 519, 1650, 1732, 269, 1215, 1705, 519, 9059, 21167, 560, 1779, 1332, 865, 3728, 286, 4208, 1705, 10793, 14299, 1055, 519, 21167, 560, 1779, 538, 519, 1439, 286, 898, 666, 581, 8068, 602, 519, 1126, 568, 3843, 547, 1118, 2631, 540, 875, 5708, 543, 4641, 616, 1114, 543, 865, 3237, 723, 547, 581, 6297, 543, 1118, 2386, 547, 2491, 621, 538, 513, 1259, 602, 1131, 1118, 2631, 547, 519, 1126, 543, 1010, 1378, 2833, 563, 7883, 532, 3564, 519, 1650, 454, 2691, 519, 1126, 16137, 602, 646, 814, 519, 2702, 547, 2263, 811, 1919, 827, 519, 1650, 982, 1018, 646, 814, 1224, 267, 621, 3587, 811, 1187, 585, 1864, 269, 1548, 952, 596, 941, 10793, 286, 1548, 824, 9589, 3364, 666, 519, 14500, 2270, 11735, 689, 519, 9589, 3771, 335, 543, 979, 846, 286, 1403, 972, 568, 513, 31832, 20108, 609, 1776, 1915, 689, 1776, 4023, 12682, 1446, 267, 945, 1131, 621, 581, 543, 1018, 1223, 4755, 286, 1703, 616, 3875, 7399, 602, 519, 1126, 779, 1719, 666, 581, 25623, 563, 5472, 891, 5717, 666, 723, 513, 3860, 3977, 689, 3860, 1603, 547, 6575, 543, 13492, 269, 5269, 2326, 3362, 2139, 585, 707, 1126, 547, 2769, 1010, 3860, 2427, 269, 1261, 666, 2721, 1010, 14906, 819, 540, 519, 9649, 610, 519, 7291, 540, 519, 14500, 269, 1261, 666, 2328, 513, 4484, 547, 10793, 269, 1261, 666, 1256, 1544, 856, 513, 3524, 601, 547, 519, 1650, 269, 21894, 621, 568, 267, 972, 568, 1100, 4636, 2626, 543, 519, 1126, 814, 782, 519, 5191, 547, 5305, 1010, 9345, 563, 2026, 5876, 568, 513, 2268, 540, 519, 2362, 1931, 540, 3206, 267, 713, 568, 1141, 519, 1909, 540, 14070, 2835, 3587, 513, 13766, 538, 938, 1453, 779, 28378, 269, 2060, 891, 2984, 543, 4337, 5209, 3638, 538, 707, 1126, 779, 1272, 267, 596, 666, 581, 1978, 707, 1126, 19299, 513, 10516, 585, 3312, 2093, 543, 5647, 2663, 593, 563, 1607, 2376, 729, 2854, 676, 11819, 17012, 540, 634, 4804, 7732, 269, 0, 22068, 591, 8366, 16771, 538, 519, 17214, 2690, 300, 4548, 22952, 476, 1001, 278, 1453, 781, 2835, 3126, 7121, 563, 291, 298, 22772, 719, 256, 9891, 3590, 11414, 3214, 3388, 789, 1131, 1616, 547, 917, 827, 519, 25713, 15564, 25378, 3859, 1062, 269, 2060, 4190, 10344, 267, 18512, 12383, 267, 543, 1883, 6437, 1344, 267, 519, 667, 298, 22772, 719, 256, 3126, 786, 14183, 1022, 1126, 945, 568, 11235, 547, 1451, 543, 10536, 5013, 910, 543, 1832, 873, 4947, 1394, 585, 811, 256, 3245, 519, 10785, 547, 14368, 2572, 782, 513, 27503, 31485, 2115, 547, 917, 568, 14095, 667, 298, 22772, 719, 256, 9891, 3590, 1547, 13268, 539, 609, 1187, 5013, 267, 17118, 543, 5863, 10344, 519, 1883, 6437, 3584, 616, 4547, 547, 1272, 269, 13028, 1018, 519, 4365, 568, 899, 593, 18347, 267, 610, 1491, 513, 7552, 2066, 9370, 609, 519, 30024, 5692, 269, 667, 298, 22772, 719, 256, 9891, 3590, 786, 8141, 519, 9345, 540, 1022, 1126, 5461, 538, 2230, 563, 1607, 568, 3883, 476, 278, 538, 519, 667, 298, 22772, 719, 256, 10022, 269, 6423, 782, 667, 298, 22772, 719, 256, 2835, 1934, 563, 8450, 2859, 6611, 454, 27880, 9197, 3291, 553, 568, 513, 2230, 19784, 543, 3376, 322, 2120, 609, 513, 4282, 538, 28936, 12695, 269, 2701, 568, 4749, 2938, 6158, 827, 2230, 593, 3703, 8613, 267, 543, 5526, 593, 9055, 538, 519, 2475, 971, 607, 2817, 22127, 543, 634, 20570, 19305, 269, 8861, 2027, 2478, 538, 2230, 3408, 543, 814, 4080, 593, 519, 1641, 2066, 519, 1158, 269, 2701, 568, 849, 519, 2278, 540, 3267, 5415, 827, 8861, 9197, 3291, 553, 0, 2691, 1004, 616, 7092, 689, 513, 1164, 1377, 540, 5230, 8407, 538, 741, 1560, 267, 789, 666, 581, 4330, 607, 1373, 968, 515, 8283, 4496, 6757, 1848, 4498, 321, 1681, 1164, 2157, 540, 5230, 8407, 538, 519, 1560, 666, 3565, 547, 513, 2647, 3099, 540, 2942, 2589, 267, 1519, 9667, 2042, 543, 1256, 2530, 540, 3965, 563, 19013, 267, 1034, 1004, 616, 6534, 547, 1761, 4220, 540, 5230, 8407, 998, 3339, 20825, 538, 741, 3232, 2729, 267, 1519, 9361, 538, 19060, 16923, 6808, 593, 519, 1259, 1753, 689, 960, 610, 6704, 689, 513, 14614, 666, 269, 12989, 616, 930, 540, 519, 1271, 1919, 596, 1058, 917, 827, 5230, 2173, 13926, 17219, 543, 875, 547, 5544, 519, 2589, 563, 24109, 753, 616, 6534, 547, 513, 2647, 5044, 540, 5230, 8407, 3842, 3688, 649, 946, 3232, 267, 899, 3434, 2264, 267, 30143, 267, 543, 25316, 619, 2869, 1218, 267, 543, 538, 1978, 6878, 267, 649, 949, 8532, 630, 3697, 14614, 689, 513, 666, 610, 3165, 264, 610, 581, 6534, 547, 630, 3697, 10269, 610, 1159, 690, 4445, 2011, 4700, 2368, 540, 519, 1034, 1455, 5230, 8407, 649, 2097, 883, 3346, 609, 1331, 11956, 267, 20017, 26606, 267, 1291, 267, 16035, 267, 543, 1256, 28227, 269, 3509, 1004, 1810, 1406, 8275, 602, 3478, 21003, 657, 610, 1210, 4552, 20004, 267, 1851, 824, 7082, 3688, 5627, 5230, 8407, 267, 666, 2965, 581, 7700, 547, 5230, 2173, 13926, 17219, 2157, 563, 19013, 267, 5230, 2173, 13926, 17219, 568, 1419, 3765, 10972, 30938, 610, 15763, 1765, 28387, 1082, 1004, 616, 7092, 689, 519, 2589, 585, 513, 12675, 1974, 540, 942, 1354, 519, 2014, 568, 4857, 269, 19045, 17219, 666, 15936, 609, 519, 6296, 8647, 540, 1978, 8219, 543, 1560, 3252, 267, 799, 6770, 593, 27676, 2360, 593, 519, 1560, 269, 12580, 1331, 3668, 540, 1648, 267, 1164, 1973, 2604, 267, 2597, 2744, 267, 543, 32584, 267, 5312, 31191, 543, 24074, 269, 2368, 824, 2589, 540, 5230, 4496, 17219, 1331, 912, 3891, 8283, 2173, 13926, 17219, 666, 581, 5462, 998, 4152, 540, 519, 4552, 267, 10729, 1299, 28797, 30818, 1403, 1164, 2157, 540, 4496, 17219, 616, 1336, 538, 519, 1560, 267, 835, 666, 1413, 883, 1585, 3029, 540, 1750, 3175, 3797, 267, 1082, 540, 799, 616, 2922, 543, 15111, 9516, 5574, 547, 2569, 519, 5739, 2360, 540, 5230, 2173, 13926, 17219, 269, 4258, 3175, 3797, 25907, 6757, 4496, 12274, 883, 3889, 602, 616, 1287, 5423, 547, 581, 608, 920, 1540, 689, 519, 1560, 267, 998, 519, 10729, 610, 22454, 267, 4470, 593, 519, 1505, 1031, 563, 6701, 596, 3168, 547, 7759, 707, 1560, 540, 6757, 5230, 8407, 286, 10610, 10890, 779, 19045, 6363, 872, 12814, 17327, 1975, 2001, 4542, 543, 519, 18913, 19045, 6363, 872, 12814, 5358, 666, 948, 519, 1560, 9004, 6757, 5230, 8407, 543, 1489, 5230, 2173, 13926, 19140, 2305, 950, 5916, 609, 513, 2635, 6197, 269, 19045, 6363, 872, 5932, 513, 21799, 6438, 12622, 547, 519, 4496, 5536, 267, 799, 519, 1560, 17767, 607, 3653, 543, 568, 17515, 998, 519, 6367, 1564, 269, 901, 11148, 547, 581, 513, 10930, 4781, 267, 607, 621, 30417, 1022, 4960, 540, 4929, 2566, 547, 519, 14401, 630, 6518, 1223, 581, 519, 2013, 950, 17594, 568, 998, 519, 10729, 1040, 722, 510, 454, 7628, 519, 19140, 1184, 267, 621, 568, 849, 1271, 547, 2417, 1489, 707, 1560, 609, 513, 2635, 2732, 267, 7850, 21455, 609, 1617, 643, 527, 7530, 1299, 6886, 267, 971, 607, 13159, 11638, 1341, 20506, 5489, 2135, 8081, 269, 898, 1058, 849, 581, 7074, 602, 519, 19140, 11444, 616, 5946, 267, 865, 7110, 532, 609, 519, 476, 279, 1898, 11254, 7408, 1282, 713, 1184, 568, 1883, 267, 865, 602, 1346, 11444, 616, 25167, 543, 8647, 5265, 269, 17828, 288, 2381, 334, 12814, 2488, 519, 3501, 3666, 540, 891, 1898, 11254, 7408, 547, 948, 519, 1560, 1628, 543, 5924, 7816, 5946, 269, 1879, 596, 2811, 19140, 532, 689, 5230, 4496, 17219, 267, 596, 1590, 581, 2348, 2834, 15108, 5322, 547, 581, 2386, 519, 13802, 616, 1373, 17515, 269, 1280, 1082, 713, 666, 581, 513, 1966, 267, 855, 2921, 2271, 13656, 11162, 572, 267, 513, 2067, 9667, 1489, 11100, 666, 948, 609, 713, 269, 17828, 13983, 839, 16754, 568, 513, 15988, 797, 8869, 543, 568, 513, 1007, 1840, 547, 519, 10610, 10890, 1920, 540, 9360, 269, 31334, 454, 265, 2252, 596, 616, 1210, 519, 19045, 6363, 872, 1587, 267, 513, 5450, 1023, 674, 1815, 531, 4530, 568, 5227, 1317, 513, 10729, 1449, 786, 711, 1397, 2164, 936, 942, 563, 31334, 1452, 6898, 723, 711, 1044, 11117, 676, 519, 15111, 269, 1452, 2472, 616, 711, 5497, 547, 13209, 267, 1521, 267, 10826, 267, 610, 2061, 1022, 2068, 563, 4467, 906, 786, 581, 9516, 1354, 6029, 909, 563, 7312, 1378, 10307, 568, 11318, 596, 563, 763, 538, 1260, 11772, 1043, 536, 1794, 650, 687, 540, 23020, 6547, 20590, 1055, 1169, 6289, 846, 1718, 538, 1169, 835, 540, 707, 2281, 723, 4539, 563, 10303, 972, 568, 1100, 1863, 12899, 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 ]
[ 3587, 24631, 585, 9494, 942, 269, 5231, 1703, 568, 513, 3070, 267, 2705, 269, 476, 1109, 2791, 949, 14574, 519, 21205, 1377, 1871, 585, 519, 10782, 540, 519, 15000, 538, 1931, 547, 2165, 3729, 1699, 4494, 4070, 543, 1780, 593, 547, 519, 1985, 835, 269, 5231, 769, 930, 2631, 267, 519, 946, 540, 16258, 7388, 5406, 774, 11611, 568, 6697, 547, 519, 946, 540, 12910, 3729, 23771, 14716, 7154, 540, 2866, 14443, 630, 516, 2536, 547, 10648, 291, 295, 4804, 1070, 4849, 519, 3375, 547, 2165, 3729, 519, 1699, 4494, 568, 1500, 8850, 1759, 2390, 519, 21205, 1871, 267, 799, 568, 5462, 676, 519, 7388, 5406, 16748, 630, 5408, 2630, 1040, 5231, 7388, 5406, 16748, 1403, 16258, 7388, 5406, 774, 11611, 568, 5828, 593, 267, 713, 3815, 11887, 519, 5551, 6454, 538, 519, 21205, 1871, 585, 519, 31848, 3631, 3379, 547, 519, 21205, 1871, 689, 519, 18631, 4494, 269, 476, 1109, 763, 1699, 4494, 568, 2165, 3990, 952, 519, 21205, 1871, 585, 519, 10782, 31848, 3587, 1447, 982, 519, 21205, 1871, 540, 519, 1655, 2203, 540, 519, 18631, 4494, 267, 16611, 676, 519, 9138, 7388, 5406, 16748, 6871, 269, 5231, 1280, 1383, 267, 952, 596, 1305, 7388, 5406, 16748, 547, 476, 271, 269, 280, 267, 1287, 519, 1699, 4494, 786, 581, 2165, 3990, 952, 519, 21205, 2418, 540, 782, 1699, 15000, 1831, 1447, 982, 476, 3445, 2600, 540, 519, 7454, 7600, 19118, 10025, 10268, 538, 519, 19243, 21073, 7406, 540, 519, 10648, 291, 295, 4804, 9074, 269, 5231, 1879, 4259, 519, 7388, 5406, 16748, 267, 621, 568, 1732, 547, 20093, 593, 519, 1970, 2427, 269, 476, 1109, 1103, 1249, 267, 952, 596, 1305, 519, 3815, 1932, 1970, 267, 519, 1062, 786, 2638, 782, 2009, 10659, 540, 4632, 267, 855, 596, 786, 4413, 4986, 269, 476, 1109, 4002, 519, 824, 1688, 267, 952, 596, 1305, 519, 1871, 1932, 2673, 547, 476, 272, 267, 519, 1062, 949, 2165, 3729, 519, 4494, 513, 1279, 942, 1354, 621, 9060, 519, 1655, 2009, 3631, 269, 476, 1109, 1103, 713, 2013, 519, 2898, 1062, 786, 4440, 1685, 14605, 269, 476, 1109, 24400, 519, 2953, 1871, 540, 713, 3815, 568, 3833, 2352, 269, 5231, 1403, 2901, 15932, 19139, 540, 966, 1513, 610, 16258, 7388, 5406, 774, 11611, 568, 5828, 1055, 267, 1287, 519, 7388, 5406, 16748, 4216, 568, 16981, 543, 922, 1871, 568, 16053, 269, 7545, 31932, 18880, 6423, 31932, 18880, 585, 3877, 269, 5231, 2422, 995, 670, 6493, 30352, 7352, 566, 910, 11628, 10648, 291, 295, 634, 5227, 1931, 540, 9936, 8390, 585, 11628, 10648, 291, 295, 568, 519, 1739, 281, 5231, 4107, 31056, 30352, 19139, 7600, 19118, 281, 476, 1109, 15598, 4916, 292, 267, 623, 10345, 267, 11022, 299, 267, 717, 20302, 267, 674, 14154, 267, 8617, 640, 5231, 7600, 19118, 3213, 324, 2310, 281, 476, 272, 1280, 1022, 1826, 540, 19139, 7600, 19118, 267, 1376, 609, 519, 7600, 19118, 3213, 324, 2310, 3160, 547, 476, 272, 269, 476, 1109, 763, 7215, 585, 7355, 9819, 941, 28348, 538, 971, 513, 1259, 602, 19250, 630, 604, 596, 4019, 513, 21205, 547, 1082, 2042, 264, 519, 1655, 2164, 616, 5833, 585, 513, 11664, 815, 476, 272, 269, 476, 1109, 4913, 267, 519, 13829, 593, 519, 11664, 1871, 568, 1360, 2178, 267, 865, 2356, 621, 2306, 2631, 547, 4268, 519, 11664, 267, 2161, 267, 538, 519, 2039, 689, 476, 271, 269, 272, 547, 476, 275, 269, 476, 1109, 2252, 519, 7600, 19118, 3213, 324, 2310, 568, 1932, 1507, 267, 519, 2203, 786, 581, 1932, 1950, 543, 786, 936, 7257, 519, 1239, 269, 476, 1109, 2252, 519, 7600, 19118, 3213, 324, 2310, 568, 1932, 1804, 267, 519, 2203, 786, 581, 1932, 2241, 543, 2285, 4057, 2164, 269, 5231, 1411, 1058, 4440, 2119, 519, 1739, 585, 513, 2016, 19139, 7600, 19118, 281, 476, 1109, 341, 776, 519, 7600, 19118, 3213, 324, 2310, 267, 4466, 519, 3148, 540, 1655, 3631, 282, 4188, 782, 824, 6724, 607, 4330, 2630, 282, 5594, 4268, 519, 7600, 19118, 3213, 324, 2310, 1586, 538, 519, 5892, 1336, 3148, 547, 12398, 519, 1871, 602, 3947, 519, 1655, 2203, 269, 5231, 27326, 12430, 17738, 281, 593, 267, 1055, 898, 568, 2182, 547, 3589, 2436, 7432, 593, 27326, 12430, 17738, 786, 1118, 519, 1267, 1732, 610, 8338, 269, 476, 1109, 2791, 1058, 2119, 1312, 269, 5231, 7665, 269, 7089, 540, 18984, 643, 832, 538, 519, 3689, 23771, 3399, 609, 519, 9949, 1871, 269, 476, 1109, 5719, 920, 2084, 519, 7089, 540, 18984, 643, 832, 786, 9090, 3432, 909, 2866, 267, 855, 621, 949, 711, 2285, 1434, 2164, 269, 476, 1109, 2252, 596, 2333, 519, 7089, 540, 18984, 643, 832, 267, 596, 949, 3489, 1732, 2164, 693, 519, 1942, 540, 14887, 2866, 269, 5231, 7844, 26659, 281, 12829, 267, 18897, 965, 18897, 965, 949, 1683, 1732, 5542, 540, 1713, 4632, 982, 12829, 267, 693, 513, 1942, 540, 3476, 19106, 942, 269, 476, 1109, 2791, 949, 849, 2119, 16258, 610, 1256, 18124, 952, 707, 1966, 568, 3833, 1804, 543, 5924, 707, 2780, 568, 3833, 3500, 269, 476, 1109, 24137, 3006, 3947, 519, 1482, 2164, 607, 12829, 282, 855, 2760, 1732, 269, 476, 1109, 15675, 532, 5510, 2306, 2631, 1152, 585, 513, 834, 638, 1157, 543, 11315, 257, 16759, 269, 476, 1109, 17359, 568, 5227, 1152, 585, 1360, 1507, 2042, 282, 7432, 621, 593, 4679, 9819, 942, 20427, 267, 609, 2370, 610, 1100, 6454, 538, 519, 2203, 3379, 547, 602, 5833, 609, 18897, 965, 11938, 269, 5231, 10815, 31056, 30352, 4578, 18440, 281, 3689, 3903, 568, 24177, 268, 272, 267, 476, 272, 9563, 609, 1295, 8276, 1314, 6074, 676, 1611, 7132, 610, 14263, 476, 272, 3044, 11539, 630, 528, 476, 274, 3044, 24017, 585, 1950, 1239, 971, 607, 2883, 1239, 5148, 2034, 3903, 568, 24177, 268, 272, 267, 476, 272, 9563, 609, 1295, 8276, 1314, 6074, 538, 519, 8912, 1259, 269, 5231, 630, 9928, 2718, 1210, 513, 3044, 11539, 568, 2944, 538, 519, 16294, 18452, 338, 543, 19243, 338, 9074, 4700, 5231, 21480, 7392, 281, 4790, 267, 1306, 2096, 696, 5328, 267, 12430, 8347, 824, 16131, 952, 4790, 814, 8959, 269, 476, 1109, 29995, 789, 2285, 2901, 8338, 610, 519, 1482, 2164, 267, 855, 789, 949, 8011, 585, 930, 2665, 1141, 519, 4790, 8430, 2164, 538, 936, 7257, 1154, 519, 1239, 269, 5231, 28206, 848, 538, 7665, 269, 7089, 540, 18984, 643, 832, 281, 22918, 548, 267, 23839, 267, 6008, 788, 10670, 609, 513, 3500, 6175, 538, 519, 1297, 540, 15000, 267, 855, 952, 596, 1376, 4657, 713, 4781, 267, 596, 1058, 2119, 782, 1614, 5468, 269, 5231, 7665, 269, 24438, 23422, 538, 17583, 281, 2473, 317, 274, 267, 1287, 2473, 317, 273, 267, 1287, 2473, 2473, 317, 274, 568, 9244, 5227, 269, 476, 1109, 2252, 596, 1745, 707, 1239, 568, 5276, 267, 621, 949, 581, 811, 2500, 547, 946, 1535, 982, 1535, 317, 273, 610, 1535, 317, 274, 269, 5231, 7665, 269, 8605, 12910, 538, 17583, 281, 2473, 272, 311, 273, 311, 274, 267, 1287, 2473, 272, 311, 273, 267, 1287, 7183, 2473, 272, 311, 273, 311, 274, 568, 9244, 5227, 269, 476, 1109, 2252, 596, 1745, 707, 1239, 568, 9425, 5276, 267, 621, 949, 581, 811, 2500, 547, 946, 2473, 272, 311, 273, 269, 476, 1109, 14085, 949, 581, 3730, 1152, 952, 596, 616, 3843, 547, 1265, 513, 17033, 5276, 3070, 269, 5231, 7665, 269, 25159, 538, 17583, 281, 2473, 272, 267, 2473, 273, 267, 2473, 274, 267, 1287, 2473, 272, 267, 2473, 273, 267, 1287, 2473, 272, 2473, 272, 267, 2473, 273, 267, 2473, 274, 568, 9244, 5227, 269, 26805, 7665, 269, 25159, 538, 17583, 949, 948, 538, 1360, 4686, 2665, 950, 519, 5690, 2882, 28971, 3403, 4632, 538, 519, 2203, 269, 476, 1109, 311, 272, 949, 581, 3730, 1152, 952, 596, 2119, 547, 1265, 513, 17033, 5276, 3070, 630, 339, 6320, 609, 4259, 7665, 269, 8605, 12910, 538, 17583, 547, 7183, 543, 7665, 269, 24438, 23422, 538, 17583, 547, 2473, 1040, 0, 258, 31932, 10606, 909, 547, 476, 1015, 692, 19530, 762, 3211, 593, 7508, 2338, 909, 547, 476, 1015, 948, 519, 3214, 547, 2259, 10203, 540, 519, 2338, 269, 7089, 2979, 2238, 585, 3214, 616, 1360, 1271, 543, 2556, 538, 2038, 6689, 2069, 267, 9251, 267, 9656, 267, 21543, 1153, 543, 849, 585, 18954, 539, 3214, 780, 2080, 519, 1453, 616, 4280, 547, 1413, 693, 519, 7470, 540, 2338, 543, 2697, 519, 7508, 2338, 543, 1287, 6445, 538, 519, 7508, 2338, 547, 1293, 909, 547, 476, 1015, 269, 769, 891, 7508, 1297, 3211, 930, 540, 519, 2338, 616, 2907, 4904, 538, 547, 948, 3214, 547, 5431, 519, 7508, 1297, 909, 547, 476, 1015, 538, 519, 4216, 780, 258, 19130, 538, 519, 7508, 2338, 909, 547, 476, 1015, 1384, 29261, 30548, 1109, 974, 18291, 1109, 4754, 948, 519, 1453, 547, 4137, 856, 519, 7508, 2338, 543, 2328, 538, 519, 4216, 538, 519, 3211, 593, 7508, 2338, 909, 547, 476, 1015, 780, 13043, 8307, 4569, 568, 1759, 593, 519, 23350, 602, 1453, 798, 711, 1118, 513, 11984, 1063, 1404, 543, 960, 543, 1451, 1655, 950, 1565, 3587, 1404, 543, 1404, 3587, 1565, 780, 4913, 267, 10372, 585, 2417, 6454, 267, 689, 782, 20453, 1131, 581, 7494, 15874, 780, 12441, 333, 1405, 1265, 1018, 596, 941, 3168, 585, 286, 2107, 1616, 547, 917, 811, 1344, 827, 4569, 8307, 4569, 269, 2422, 713, 5616, 9612, 547, 1265, 1018, 596, 991, 780, 1012, 10765, 15080, 692, 272, 269, 12693, 6396, 540, 670, 5861, 12171, 269, 1923, 295, 580, 4554, 5871, 16748, 347, 15542, 528, 1436, 1299, 19667, 1707, 6396, 692, 14257, 476, 1724, 267, 476, 2190, 476, 4962, 281, 1321, 6751, 692, 2171, 786, 1865, 1934, 827, 519, 1505, 540, 554, 6983, 8807, 269, 630, 327, 580, 4554, 1455, 3815, 1040, 634, 5207, 1455, 3815, 610, 670, 20003, 540, 1079, 610, 811, 2338, 568, 519, 6574, 1297, 799, 17337, 4010, 519, 2016, 2338, 269, 2913, 721, 2507, 692, 273, 269, 12693, 11790, 1923, 13760, 519, 11790, 540, 519, 8605, 1923, 10417, 540, 11790, 692, 14257, 476, 1724, 267, 476, 2190, 476, 6734, 281, 3066, 6751, 692, 26502, 540, 513, 1297, 616, 5941, 1934, 865, 602, 1053, 666, 1174, 519, 2188, 540, 519, 1587, 269, 1548, 616, 2188, 286, 630, 328, 264, 1403, 513, 26318, 267, 950, 5258, 676, 513, 27708, 267, 568, 5258, 4625, 692, 274, 269, 12693, 10613, 540, 11788, 16748, 1436, 1923, 10406, 6396, 1923, 16748, 10326, 6396, 692, 14257, 476, 1724, 267, 476, 2190, 476, 4905, 281, 2767, 6751, 692, 1103, 6305, 26458, 267, 649, 3815, 1047, 519, 2338, 883, 6305, 2338, 267, 1572, 6305, 2188, 269, 1703, 616, 1079, 2409, 540, 6305, 26458, 281, 476, 272, 269, 10406, 6396, 476, 273, 269, 16748, 10326, 6396, 692, 275, 269, 12693, 6555, 529, 2225, 16390, 1923, 6555, 529, 2225, 4530, 347, 19667, 529, 2225, 16390, 3245, 476, 273, 547, 476, 1240, 692, 14257, 476, 1724, 267, 476, 2190, 476, 1321, 281, 6078, 6751, 692, 2414, 1265, 856, 2188, 540, 3677, 2338, 3533, 267, 649, 1685, 8954, 2225, 1449, 269, 1703, 616, 1978, 3652, 547, 2638, 8954, 2225, 540, 2338, 269, 6555, 529, 2225, 4255, 540, 513, 2016, 1297, 676, 1022, 540, 519, 1297, 476, 273, 267, 476, 274, 267, 476, 275, 2507, 0, 3725, 1783, 17593, 569, 543, 26592, 569, 692, 288, 2979, 4116, 6941, 875, 1134, 27059, 2326, 666, 948, 1053, 1451, 547, 4308, 609, 4101, 2979, 2042, 692, 2108, 19370, 6061, 14325, 6826, 9237, 281, 10093, 1406, 596, 267, 693, 2053, 267, 1031, 891, 1913, 547, 5365, 2042, 596, 1131, 18178, 693, 519, 1439, 540, 1142, 3296, 540, 707, 1433, 286, 5213, 1406, 1745, 3983, 2443, 649, 4076, 782, 2944, 621, 269, 898, 779, 1018, 649, 2219, 2443, 610, 941, 5143, 2443, 729, 1655, 269, 9046, 6061, 568, 1271, 1498, 2439, 2026, 7855, 267, 649, 1616, 14292, 2326, 602, 3895, 6278, 538, 1966, 6061, 269, 1109, 1306, 1053, 1966, 4194, 267, 789, 991, 519, 1983, 602, 941, 5941, 538, 9208, 585, 19556, 6657, 630, 306, 6573, 264, 476, 272, 630, 24708, 2631, 540, 2042, 543, 829, 572, 3164, 538, 6061, 873, 1070, 543, 849, 991, 547, 2601, 7493, 569, 543, 11050, 569, 269, 1109, 901, 7493, 543, 11050, 7744, 568, 4988, 538, 590, 6573, 476, 273, 780, 763, 1079, 18388, 6919, 950, 6158, 827, 590, 6573, 476, 273, 616, 968, 935, 3667, 783, 1125, 892, 630, 339, 1136, 519, 7493, 6310, 6041, 543, 8380, 883, 2796, 1070, 543, 968, 1372, 935, 3667, 783, 1125, 892, 630 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5814, 19523, 7531, 3698, 4492, 8548, 817, 263, 14403, 2187, 567, 2132, 6221, 2260, 274, 910, 476, 273, 692, 3698, 2698, 8548, 817, 263, 14403, 2187, 825, 2527, 815, 4492, 8548, 817, 263, 14403, 994, 825, 952, 2527, 2999, 476, 271, 912, 1038, 2132, 476, 271, 454, 825, 3116, 912, 1038, 2132, 2527, 1341, 2698, 8548, 817, 9852, 817, 2020, 604, 6449, 4067, 1029, 2652, 21507, 10852, 23922, 825, 2698, 272, 815, 476, 271, 454, 825, 2698, 273, 815, 476, 271, 454, 825, 585, 9074, 538, 19523, 14714, 19734, 912, 1038, 2698, 272, 6834, 4492, 8548, 817, 17301, 263, 7116, 2544, 4917, 1038, 2698, 273, 6834, 2698, 8548, 817, 17301, 263, 7116, 2544, 4917, 825, 1820, 2891, 8512, 476, 272, 281, 2715, 271, 348, 2668, 8971, 6025, 4973, 272, 4917, 825, 1820, 2891, 8512, 476, 273, 281, 2715, 271, 348, 2668, 8971, 6025, 4973, 273, 4917, 0, 3698, 6279, 2414, 8722, 564, 263, 514, 2583, 2187, 13537, 834, 260, 323, 6279, 568, 4939, 325, 3952, 1701, 4939, 630, 514, 2583, 267, 6279, 1315, 476, 1321, 994, 28768, 3698, 1296, 2414, 12507, 2195, 12169, 8986, 2187, 13537, 834, 260, 323, 1296, 568, 4939, 323, 3275, 1701, 4939, 630, 344, 8986, 267, 1296, 2608, 476, 1321, 2020, 3240, 12173, 815, 1412, 301, 7702, 4201, 4379, 3004, 653, 7055, 3240, 318, 720, 815, 476, 2190, 1948, 1296, 454, 3240, 318, 19417, 815, 476, 10170, 1948, 6279, 692, 2745, 834, 4131, 781, 2911, 827, 4939, 338, 1701, 4939, 1250, 12173, 454, 2745, 834, 9515, 781, 4939, 323, 1296, 2025, 1701, 4939, 1250, 318, 720, 454, 2745, 834, 9515, 781, 4939, 323, 6279, 7381, 1701, 4939, 1250, 318, 19417, 22562, 514, 2583, 2414, 8722, 564, 30044, 318, 19417, 994, 344, 8986, 2414, 12507, 2195, 30044, 318, 720, 994, 8931, 0, 5035, 30741, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 1130, 284, 271, 267, 2451, 22561, 267, 1318, 22561, 2187, 1038, 1582, 22183, 815, 1130, 454, 1038, 1582, 16000, 815, 2451, 454, 1038, 1582, 16192, 815, 1318, 692, 825, 1219, 9352, 4671, 872, 15461, 8217, 263, 3650, 17045, 2187, 1038, 5727, 3519, 3200, 513, 9352, 3529, 547, 513, 1592, 269, 10251, 267, 519, 2274, 564, 24927, 3898, 454, 1038, 568, 10169, 1875, 268, 20598, 267, 1818, 621, 1448, 1652, 547, 900, 332, 3634, 543, 1449, 12163, 1038, 1780, 692, 825, 1219, 1592, 15461, 10734, 2435, 4671, 872, 17338, 17750, 2187, 1038, 5727, 3519, 3200, 513, 9352, 3529, 547, 513, 1592, 269, 10251, 267, 519, 2274, 564, 24927, 3898, 454, 1038, 568, 10169, 1875, 268, 20598, 267, 1818, 621, 1448, 1652, 547, 900, 332, 3634, 543, 1449, 12163, 1038, 1780, 454, 0, 11133, 815, 476, 271, 3248, 6112, 1003, 283, 1015, 912, 825, 1820, 2891, 11133, 815, 4939, 323, 257, 4939, 1003, 994, 825, 1003, 6834, 476, 272, 692, 0, 5814, 21795, 607, 19073, 1477, 5228, 28189, 1104, 5276, 31200, 24653, 258, 299, 1933, 532, 10471, 1477, 4206, 815, 19073, 18667, 32269, 3488, 290, 281, 270, 5825, 619, 270, 9288, 1117, 328, 670, 28045, 8895, 756, 270, 5327, 330, 9008, 18025, 3155, 17320, 325, 27406, 20298, 2745, 29254, 17482, 264, 476, 1948, 27987, 519, 2116, 269, 1297, 540, 519, 10471, 24653, 258, 15612, 908, 519, 11667, 540, 6241, 834, 21848, 29177, 5814, 2979, 1477, 4364, 1014, 318, 720, 815, 2979, 269, 28776, 29254, 6993, 613, 269, 4364, 1014, 3890, 3418, 2745, 263, 4364, 1014, 318, 720, 3418, 24653, 258, 11754, 519, 11667, 547, 519, 7508, 1871, 1477, 4206, 6993, 613, 815, 17093, 6993, 613, 8807, 650, 3534, 263, 4364, 1014, 318, 720, 3418, 2745, 29254, 3418, 5897, 258, 30791, 22953, 7844, 1477, 2958, 815, 5276, 31200, 11482, 710, 541, 8802, 1833, 14052, 344, 815, 1036, 32265, 29254, 314, 9131, 22704, 12887, 289, 539, 7741, 12887, 21848, 11172, 3910, 4206, 269, 25820, 3418, 2745, 263, 2958, 16691, 1030, 318, 3418, 2745, 263, 2958, 269, 5793, 1061, 318, 3418, 335, 284, 1036, 4877, 9438, 31912, 7785, 271, 267, 277, 267, 279, 14963, 3418, 2745, 9638, 3418, 5897, 5897, 5897, 5897, 5897, 5897, 5897, 5897, 5897, 0, 258, 9502, 585, 2206, 569, 30499, 1592, 563, 258, 1362, 5903, 11966, 24998, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 12785, 815, 7183, 692, 5035, 8827, 24998, 2187, 825, 1219, 1205, 11328, 7611, 11966, 4311, 267, 2212, 288, 267, 2212, 289, 2187, 1038, 8173, 1038, 2433, 6943, 2212, 272, 267, 2212, 272, 281, 5903, 11966, 454, 1038, 2433, 337, 6943, 281, 5903, 11966, 454, 1038, 8173, 1038, 952, 2212, 288, 2652, 7183, 610, 2212, 289, 2652, 7183, 912, 2018, 2132, 7183, 454, 1038, 524, 660, 272, 815, 524, 660, 273, 815, 476, 271, 454, 1038, 1775, 815, 2212, 288, 454, 1038, 795, 815, 2212, 289, 454, 1038, 1247, 1775, 11203, 7183, 912, 2018, 1775, 815, 1775, 12785, 454, 2018, 524, 660, 272, 6834, 476, 272, 454, 1038, 1247, 795, 11203, 7183, 912, 2018, 795, 815, 795, 12785, 454, 2018, 524, 660, 273, 6834, 476, 272, 454, 1038, 1775, 815, 2212, 288, 454, 1038, 795, 815, 2212, 289, 454, 1038, 952, 524, 660, 272, 3436, 524, 660, 273, 912, 2018, 585, 9041, 538, 2039, 6262, 660, 272, 910, 524, 660, 273, 2187, 3546, 1775, 815, 1775, 12785, 454, 1038, 3116, 912, 2018, 585, 9041, 538, 2039, 6262, 660, 273, 910, 524, 660, 272, 2187, 3546, 795, 815, 795, 12785, 454, 1038, 1247, 1775, 11203, 795, 912, 3546, 1775, 815, 1775, 12785, 454, 3546, 795, 815, 795, 12785, 454, 1038, 2132, 1775, 0, 258, 9502, 585, 513, 9352, 3529, 6843, 563, 258, 1362, 30741, 24998, 2187, 258, 672, 1219, 6449, 8181, 9191, 1345, 267, 1535, 2187, 258, 1363, 1582, 22183, 815, 1535, 454, 258, 1363, 1582, 16000, 815, 7183, 454, 258, 1363, 1582, 16192, 815, 7183, 692, 5035, 8827, 24998, 2187, 825, 1219, 1377, 24576, 289, 18847, 4311, 267, 3597, 2187, 1038, 8173, 1038, 2433, 6943, 3597, 281, 30741, 454, 1038, 2433, 337, 6943, 281, 5903, 314, 8266, 27776, 27663, 1038, 8173, 1038, 952, 3597, 2652, 7183, 912, 2018, 2132, 11713, 1038, 1267, 815, 11713, 1038, 7117, 815, 1496, 10174, 2639, 1038, 1247, 12759, 32429, 264, 3436, 476, 271, 2187, 2018, 31575, 815, 11713, 2018, 585, 1775, 538, 2039, 12759, 32429, 15892, 3546, 952, 7117, 314, 271, 316, 11203, 7183, 912, 7386, 31575, 6910, 32429, 314, 271, 4940, 1998, 994, 3546, 952, 7117, 314, 271, 4940, 3847, 11203, 7183, 912, 7386, 7117, 6910, 32429, 314, 271, 4940, 3847, 994, 3546, 952, 7117, 314, 271, 4940, 2431, 11203, 7183, 912, 7386, 7117, 6910, 32429, 314, 271, 4940, 2431, 994, 3546, 7117, 21014, 263, 271, 994, 2018, 1267, 27044, 263, 271, 267, 31575, 994, 1038, 2132, 1267, 454, 27030, 1363, 0, 258, 4017, 20906, 3126, 676, 1210, 6422, 5752, 692, 258, 9577, 585, 32671, 4017, 20906, 1297, 910, 25674, 5358, 532, 3097, 258, 14171, 476, 272, 560, 1079, 4017, 20906, 562, 889, 619, 607, 476, 271, 543, 476, 272, 8528, 293, 756, 26161, 815, 1496, 271, 267, 272, 316, 8528, 3698, 4017, 20906, 3799, 2567, 3097, 14851, 562, 283, 271, 281, 3097, 453, 13537, 2891, 18823, 8091, 3403, 8442, 3097, 453, 19197, 562, 27045, 6352, 263, 293, 756, 26161, 2567, 3097, 453, 16596, 17316, 26161, 19559, 268, 272, 316, 3097, 28432, 281, 3097, 453, 453, 31184, 6958, 756, 815, 4017, 20906, 3799, 268, 272, 11924, 325, 756, 20906, 3799, 268, 273, 264, 3097, 453, 453, 293, 756, 26161, 6910, 6025, 11391, 6958, 756, 264, 3097, 453, 16596, 10917, 6958, 756, 8528, 258, 3732, 5358, 8528, 2745, 6600, 756, 20906, 263, 280, 4297, 8528, 258, 3977, 815, 476, 2641, 7531, 258, 4017, 20906, 3126, 676, 1210, 2230, 5688, 5314, 454, 258, 9577, 585, 32671, 4017, 20906, 1297, 910, 6611, 19630, 529, 1092, 542, 3097, 258, 14171, 476, 272, 560, 1079, 4017, 20906, 2338, 607, 476, 271, 543, 476, 272, 8528, 3698, 4017, 20906, 3799, 2567, 3097, 453, 320, 815, 476, 271, 454, 453, 321, 815, 476, 272, 454, 14851, 562, 2999, 476, 271, 281, 3097, 453, 13537, 2891, 18823, 8091, 3403, 8442, 3097, 453, 19197, 562, 2652, 476, 271, 281, 3097, 453, 16596, 513, 3097, 453, 19197, 562, 2652, 476, 272, 281, 3097, 453, 16596, 536, 3097, 28432, 281, 3097, 453, 22610, 1775, 538, 2039, 263, 273, 19885, 2567, 3097, 4848, 453, 322, 815, 513, 1341, 536, 3097, 4848, 453, 320, 815, 536, 3097, 4848, 453, 321, 815, 524, 3097, 453, 16596, 536, 8528, 258, 30905, 5358, 8528, 2745, 6600, 756, 20906, 263, 280, 4297, 8528, 258, 16059, 815, 476, 2641, 19638, 0, 258, 9857, 534, 575, 1149, 15155, 529, 642, 643, 4545, 657, 533, 277, 324, 329, 273, 454, 2745, 3488, 842, 28558, 796, 1003, 3266, 5073, 11133, 3266, 25507, 9272, 15405, 333, 10179, 657, 17342, 2639, 333, 10179, 657, 6910, 16325, 3266, 994, 6112, 1003, 3266, 256, 284, 3488, 15680, 597, 262, 2187, 825, 1820, 3488, 842, 28558, 17333, 549, 1003, 3266, 5073, 825, 1003, 3266, 284, 1598, 9272, 15405, 825, 952, 1003, 3266, 256, 284, 3488, 15680, 597, 262, 2187, 11434, 6746, 657, 6910, 16325, 3266, 264, 3097, 2745, 3799, 10179, 657, 994, 0, 5814, 556, 454, 5228, 562, 339, 331, 330, 6983, 22455, 1104, 3247, 6919, 7531, 3698, 1292, 10031, 825, 3406, 23952, 815, 1193, 9272, 2891, 8923, 4283, 519, 2243, 281, 27328, 825, 3406, 318, 6919, 815, 556, 16553, 2891, 314, 267, 286, 316, 2580, 1412, 3299, 3406, 23952, 1040, 20889, 3488, 1412, 2020, 825, 1948, 9517, 28718, 293, 312, 29313, 18306, 19611, 20796, 9169, 19638, 567, 1948, 692, 3698, 2697, 318, 28695, 318, 6919, 263, 718, 318, 6919, 2187, 825, 3247, 6919, 318, 1263, 815, 1305, 263, 17380, 6919, 269, 6919, 3488, 1263, 1501, 29125, 825, 2132, 6882, 10857, 10033, 2262, 281, 711, 2262, 538, 3247, 6919, 318, 1263, 267, 782, 24552, 264, 8528, 692, 604, 26242, 10852, 28751, 825, 1292, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 2909, 327, 332, 1231, 267, 585, 519, 19160, 540, 22729, 646, 1500, 519, 4622, 3967, 877, 329, 11535, 1685, 513, 7504, 15093, 563, 6507, 268, 8064, 269, 2334, 4622, 540, 1390, 556, 852, 333, 729, 17212, 1386, 540, 519, 3983, 5212, 712, 540, 4401, 607, 1134, 607, 540, 1010, 5609, 269, 769, 519, 1647, 540, 519, 2997, 629, 327, 9719, 505, 15925, 705, 331, 1081, 519, 10143, 543, 26672, 573, 669, 926, 582, 8709, 1639, 269, 23452, 689, 602, 1920, 621, 729, 2016, 547, 23849, 340, 4622, 540, 595, 2664, 676, 519, 30590, 1473, 571, 269, 3245, 1864, 645, 9719, 505, 327, 7310, 24048, 9715, 519, 669, 926, 582, 269, 1703, 12898, 267, 11318, 808, 541, 5953, 338, 663, 3873, 630, 320, 24288, 540, 645, 9719, 505, 327, 7310, 24048, 264, 13225, 13682, 2742, 267, 519, 1085, 542, 540, 519, 1920, 540, 27956, 639, 267, 5795, 602, 5140, 669, 926, 582, 547, 15662, 504, 337, 13682, 330, 9719, 505, 23973, 22170, 320, 856, 540, 2648, 563, 3199, 268, 10695, 269, 3751, 962, 599, 5953, 16210, 5067, 540, 715, 24660, 23973, 320, 7715, 2740, 1010, 5067, 623, 19476, 745, 630, 553, 4622, 1040, 744, 5140, 2909, 327, 332, 1231, 267, 621, 729, 676, 602, 623, 19476, 745, 4805, 602, 646, 1185, 1044, 5280, 1354, 269, 4658, 540, 782, 5641, 525, 1519, 519, 3056, 2909, 327, 332, 1231, 12038, 547, 519, 4622, 945, 729, 964, 597, 748, 540, 7715, 940, 1010, 21836, 5067, 281, 1765, 302, 18459, 267, 875, 1281, 519, 21836, 5067, 17330, 519, 10806, 1310, 6772, 8504, 519, 6811, 540, 519, 7800, 652, 5067, 962, 611, 340, 267, 519, 5067, 540, 8061, 599, 31488, 13682, 543, 519, 1178, 2738, 517, 540, 15662, 504, 4157, 571, 286, 1284, 616, 5466, 596, 547, 1832, 909, 519, 2757, 20144, 12609, 3034, 293, 2393, 17084, 543, 8100, 912, 303, 2001, 5953, 8615, 1765, 10472, 568, 513, 9976, 1747, 540, 31145, 693, 519, 1476, 26475, 540, 519, 717, 5190, 543, 808, 4379, 5953, 538, 519, 715, 2727, 328, 23973, 320, 4104, 25966, 269, 272, 269, 275, 1040, 898, 568, 13883, 593, 519, 7187, 4871, 540, 519, 717, 5190, 630, 20597, 663, 777, 584, 5953, 22170, 320, 4083, 269, 4512, 269, 1321, 269, 3607, 1040, 634, 2012, 21813, 5953, 8615, 568, 6592, 676, 13535, 523, 17578, 836, 538, 519, 18749, 2540, 543, 568, 607, 2025, 607, 519, 12081, 540, 589, 23410, 24499, 945, 1305, 909, 519, 6149, 30361, 827, 476, 20720, 645, 14371, 269, 634, 2871, 24473, 900, 30752, 9833, 519, 1747, 607, 519, 3854, 540, 8496, 1506, 1228, 23410, 320, 563, 7468, 10620, 23973, 30909, 327, 5953, 3534, 1765, 763, 8830, 5953, 22170, 553, 616, 711, 8815, 2390, 922, 30580, 269, 2368, 1747, 621, 593, 519, 5087, 543, 930, 593, 519, 7532, 2427, 540, 519, 717, 5190, 269, 11524, 1747, 621, 593, 519, 5087, 4871, 540, 519, 26232, 684, 5953, 563, 21589, 9366, 23410, 13682, 12544, 9976, 13767, 560, 658, 562, 8233, 563, 23410, 5953, 335, 5953, 323, 575, 1173, 553, 5984, 1765, 2421, 519, 31169, 540, 519, 27041, 717, 1173, 320, 269, 634, 10828, 568, 711, 10250, 762, 269, 0, 21581, 3756, 616, 2965, 513, 2027, 1106, 540, 3238, 31768, 602, 10659, 476, 274, 291, 1148, 267, 1374, 267, 2123, 2780, 12449, 267, 5841, 4987, 267, 2442, 2575, 543, 849, 11141, 2164, 269, 1358, 616, 2965, 513, 18447, 267, 3818, 1606, 29022, 6791, 602, 12587, 18094, 543, 18094, 563, 4407, 1896, 2780, 3014, 6688, 616, 2965, 2034, 8518, 267, 835, 540, 519, 1034, 11327, 10643, 6338, 513, 6216, 1007, 17565, 269, 670, 14900, 4330, 23641, 27995, 1101, 16512, 9496, 619, 1247, 519, 9658, 1097, 2212, 1467, 13082, 16811, 20348, 1305, 513, 2268, 538, 29863, 602, 824, 2238, 4865, 2705, 547, 6474, 563, 288, 3381, 3014, 568, 2965, 513, 4990, 540, 3059, 31768, 602, 2306, 946, 540, 513, 3059, 4159, 5496, 1770, 547, 1711, 12716, 6114, 593, 513, 5496, 269, 1452, 3756, 723, 1896, 11964, 543, 849, 616, 1031, 513, 3099, 540, 19269, 267, 9967, 540, 18376, 5904, 267, 15409, 4703, 267, 5100, 11436, 543, 849, 7463, 26099, 11080, 931, 3421, 269, 1224, 1018, 646, 1767, 454, 4407, 3381, 3756, 616, 2965, 2356, 6743, 693, 1875, 268, 5562, 2238, 267, 1353, 814, 2965, 3254, 602, 4730, 873, 1223, 581, 3730, 585, 519, 1560, 1062, 538, 930, 2081, 269, 1280, 3236, 267, 930, 2238, 991, 5716, 547, 6330, 5691, 10785, 2059, 609, 513, 1164, 4110, 540, 8856, 543, 849, 5834, 267, 799, 666, 7794, 4090, 607, 1134, 607, 1719, 538, 4641, 269, 11524, 4125, 10427, 25107, 543, 849, 2170, 2032, 267, 799, 666, 3362, 948, 24917, 7214, 7207, 563, 763, 15629, 9716, 2360, 540, 3381, 26099, 11080, 616, 2965, 1454, 1447, 1134, 24713, 1221, 982, 1346, 540, 1585, 824, 5686, 540, 2923, 607, 1134, 607, 1590, 581, 9619, 2059, 609, 1416, 269, 5525, 540, 3381, 3014, 1118, 946, 540, 543, 849, 2168, 1072, 543, 9716, 723, 2965, 1044, 16876, 538, 2039, 267, 543, 849, 1082, 723, 2965, 1031, 3444, 22891, 2409, 3079, 540, 6417, 6901, 547, 6218, 519, 2360, 540, 707, 942, 16539, 26099, 11080, 269, 4746, 267, 519, 5354, 540, 2090, 723, 2965, 5059, 593, 2790, 607, 1134, 607, 2489, 1072, 543, 9716, 267, 26490, 4369, 610, 1256, 1514, 2623, 267, 610, 1256, 723, 2965, 12649, 1175, 513, 15410, 540, 2238, 563, 16498, 2042, 602, 666, 3362, 4755, 1247, 10283, 538, 3381, 3756, 2874, 540, 2571, 5160, 10913, 267, 1519, 15790, 601, 8574, 4524, 267, 799, 568, 2965, 3361, 676, 16625, 5322, 936, 6905, 5712, 540, 707, 942, 543, 949, 1711, 31199, 267, 11926, 543, 31018, 538, 519, 13869, 610, 1256, 6186, 269, 15316, 824, 24276, 2042, 616, 2363, 652, 1778, 267, 1394, 543, 849, 1394, 9636, 543, 849, 3207, 4713, 563, 26045, 2657, 543, 9716, 454, 21581, 3756, 3489, 513, 3983, 22850, 2016, 602, 789, 616, 2965, 11329, 519, 9416, 693, 585, 8726, 4947, 689, 18979, 10963, 547, 24431, 3469, 2623, 267, 855, 538, 5168, 3756, 568, 513, 1505, 547, 7938, 785, 267, 14867, 2566, 543, 849, 723, 513, 1434, 942, 269, 898, 779, 10123, 1044, 2965, 4843, 547, 5818, 1533, 540, 2247, 267, 7794, 1514, 7207, 543, 5838, 513, 8756, 585, 14124, 4664, 563, 19617, 2730, 11570, 1118, 946, 540, 3381, 10916, 2238, 607, 513, 1826, 540, 2126, 547, 6023, 609, 4160, 267, 2566, 543, 824, 2790, 1072, 543, 9716, 2042, 269, 2290, 1353, 1336, 602, 10283, 538, 606, 2534, 5219, 547, 607, 9501, 2752, 311, 22485, 4191, 543, 2589, 540, 4160, 538, 12322, 2059, 609, 19591, 2042, 563, 21581, 2238, 666, 3362, 10123, 581, 2965, 513, 9735, 3926, 585, 8194, 973, 10967, 566, 269, 11473, 2238, 602, 8366, 5716, 609, 26065, 610, 1256, 3983, 2471, 585, 1967, 666, 4217, 2569, 4606, 540, 1970, 1582, 21873, 543, 2344, 513, 2631, 540, 1967, 563, 21581, 3381, 3756, 10131, 2370, 3283, 547, 519, 2780, 1062, 1158, 543, 849, 666, 3362, 581, 513, 1434, 16345, 4305, 269, 6732, 3381, 3381, 3014, 2348, 1187, 568, 2965, 513, 1390, 4480, 547, 10536, 1453, 547, 2259, 1966, 20547, 607, 1134, 607, 703, 2056, 563, 5278, 2780, 3014, 616, 7317, 267, 8506, 32266, 547, 960, 1927, 538, 519, 4287, 540, 606, 8912, 6662, 269, 1879, 621, 2501, 547, 3818, 16651, 2238, 267, 713, 568, 2965, 1419, 2944, 2228, 267, 7175, 5716, 547, 1921, 609, 11570, 4947, 689, 1472, 17407, 269, 901, 814, 2965, 8810, 547, 581, 606, 3730, 1514, 1907, 585, 513, 2603, 540, 32266, 267, 945, 3335, 3715, 7874, 3347, 543, 3347, 609, 741, 3756, 2673, 2828, 563, 13010, 267, 930, 2780, 3014, 1289, 585, 5716, 547, 1921, 609, 824, 14789, 543, 4308, 609, 2591, 269, 901, 20674, 547, 1711, 8296, 607, 1134, 607, 1620, 540, 1004, 779, 3197, 267, 3226, 950, 519, 13708, 518, 568, 10283, 538, 6010, 8864, 3756, 1519, 6282, 675, 9061, 532, 610, 1256, 634, 3244, 338, 269, 898, 11338, 2306, 621, 2009, 585, 5716, 547, 1685, 27410, 607, 1134, 607, 3168, 585, 3094, 2914, 514, 3871, 538, 513, 5150, 1604, 563, 21581, 17157, 2238, 10123, 4540, 2042, 950, 621, 2501, 547, 1514, 5872, 269, 1306, 606, 1383, 267, 952, 513, 3014, 3568, 2188, 540, 17219, 610, 11648, 267, 519, 30369, 29854, 1223, 581, 3833, 3978, 543, 849, 949, 4865, 9434, 5222, 593, 519, 10352, 779, 5626, 9716, 269, 898, 779, 4061, 4105, 585, 3237, 547, 3950, 741, 2370, 835, 779, 3381, 11080, 13467, 607, 1134, 607, 4001, 782, 540, 873, 593, 519, 28252, 540, 9319, 15464, 543, 849, 11648, 538, 5691, 4055, 563, 2026, 6225, 607, 2780, 3014, 1223, 581, 267, 789, 949, 11338, 4865, 8801, 2360, 952, 606, 1367, 3587, 29279, 547, 3381, 11080, 269, 8950, 3014, 8213, 568, 2965, 1631, 13166, 4857, 607, 513, 5626, 1072, 2783, 1813, 547, 519, 31248, 2657, 5948, 543, 849, 666, 3362, 723, 9838, 10832, 547, 6219, 6057, 269, 15706, 945, 616, 29279, 547, 3381, 3756, 616, 2965, 24835, 762, 547, 10038, 741, 3381, 11080, 5615, 607, 1134, 607, 6108, 3665, 5666, 540, 707, 942, 4730, 3381, 3756, 267, 799, 949, 1033, 337, 2939, 958, 1860, 741, 3318, 543, 849, 4357, 2729, 563, 288, 2442, 2887, 2329, 3823, 3381, 17157, 3014, 6219, 8213, 568, 2965, 602, 621, 3274, 5222, 2370, 3283, 543, 849, 1762, 4079, 267, 2943, 6738, 5725, 666, 3362, 1439, 909, 1373, 29279, 547, 11080, 269, 901, 568, 2965, 3226, 4977, 585, 11570, 945, 1404, 5458, 569, 3818, 16651, 2228, 1612, 3271, 3014, 630, 12613, 3036, 303, 19199, 1070, 799, 666, 581, 3833, 22925, 607, 513, 1267, 540, 519, 31934, 2604, 540, 5347, 532, 909, 741, 14789, 267, 13350, 610, 1256, 942, 25259, 3908, 2621, 543, 849, 6024, 10333, 547, 538, 3766, 877, 15314, 563, 17829, 602, 4865, 513, 21341, 547, 3381, 17157, 2238, 1522, 1995, 13542, 609, 741, 1533, 540, 2247, 267, 3347, 607, 1134, 607, 5834, 269, 14171, 513, 1964, 689, 11080, 666, 948, 1004, 10536, 29459, 593, 741, 2729, 543, 556, 6618, 609, 25097, 267, 4690, 543, 849, 824, 2557, 540, 4690, 602, 789, 941, 2965, 6772, 8504, 856, 593, 1247, 29279, 547, 3381, 10916, 3756, 563, 4910, 792, 2583, 540, 3381, 10916, 3014, 946, 607, 1134, 607, 15629, 1072, 723, 1044, 16876, 538, 2039, 267, 607, 1134, 607, 519, 5354, 540, 723, 1500, 946, 540, 3444, 22891, 2553, 3079, 982, 6027, 6901, 547, 4983, 519, 2164, 540, 4316, 16539, 3381, 11080, 269, 26597, 1004, 1118, 946, 540, 2228, 3381, 2238, 607, 513, 1106, 540, 3797, 547, 6023, 2059, 609, 4965, 267, 4160, 543, 1585, 824, 2790, 1072, 13542, 269, 1306, 15028, 607, 2228, 3381, 2238, 666, 3362, 581, 2965, 267, 789, 666, 849, 723, 8801, 4539, 952, 606, 1367, 2501, 547, 581, 29279, 547, 3756, 269, 23205, 802, 602, 616, 29279, 547, 3381, 10916, 3756, 616, 711, 2111, 547, 6023, 741, 3756, 6208, 607, 1134, 607, 1902, 7050, 12531, 540, 942, 4730, 3381, 17157, 2238, 267, 799, 949, 11874, 1860, 741, 3318, 543, 849, 4357, 19824, 563, 21982, 513, 1964, 4947, 689, 3381, 11080, 666, 4217, 2043, 1205, 21169, 593, 741, 19824, 543, 849, 556, 6618, 2059, 609, 1434, 2828, 267, 2238, 543, 824, 18653, 602, 789, 941, 2965, 7508, 856, 593, 856, 593, 1247, 29279, 547, 3381, 17157, 2238, 269, 0, 763, 1164, 27703, 1852, 5547, 5179, 10941, 532, 9823, 5179, 3432, 17120, 5547, 2934, 2571, 1376, 267, 20794, 15175, 540, 5179, 4287, 267, 543, 623, 310, 300, 3432, 1852, 269, 594, 723, 3838, 519, 5547, 1354, 269, 1703, 616, 3877, 538, 519, 2376, 968, 11947, 5295, 476, 1789, 2549, 335, 9823, 16359, 17726, 6513, 18065, 5608, 855, 594, 5423, 513, 1007, 2376, 1317, 594, 4294, 621, 543, 1031, 621, 538, 6007, 16546, 269, 898, 729, 5423, 538, 519, 20111, 5373, 563, 763, 5179, 9920, 5547, 729, 6417, 676, 519, 555, 8527, 1479, 11573, 609, 10689, 1198, 9300, 593, 519, 476, 274, 2914, 31856, 539, 27576, 585, 1453, 269, 634, 824, 5547, 729, 1031, 585, 519, 1852, 540, 519, 2599, 543, 10380, 6569, 689, 519, 1875, 1532, 19495, 16150, 11083, 309, 543, 519, 8778, 528, 10736, 547, 6007, 563, 763, 959, 11069, 582, 538, 519, 5179, 9920, 5547, 729, 14661, 5594, 2539, 982, 519, 2407, 3432, 267, 543, 513, 4062, 540, 3574, 729, 5116, 547, 2322, 519, 3952, 543, 519, 7903, 3146, 3161, 6467, 1031, 538, 3167, 22927, 6191, 729, 4448, 547, 519, 1318, 3723, 267, 713, 6467, 568, 4448, 547, 519, 3296, 602, 3081, 31446, 298, 269, 4033, 11387, 941, 1031, 593, 11083, 26394, 585, 3214, 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 ]
[ 4846, 3160, 547, 11013, 780, 2162, 476, 4792, 269, 4029, 18741, 9999, 547, 623, 2432, 7503, 3349, 692, 298, 559, 9999, 630, 11899, 264, 623, 2432, 630, 331, 321, 264, 623, 2432, 630, 331, 2125, 264, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 994, 4792, 269, 4029, 476, 16960, 269, 7176, 274, 3445, 274, 24374, 273, 476, 16960, 269, 6924, 273, 271, 454, 3086, 1294, 513, 3349, 585, 875, 1082, 13532, 476, 4792, 269, 4029, 6550, 780, 303, 2432, 18741, 9999, 18741, 9999, 630, 1037, 539, 1055, 547, 1079, 8918, 4025, 454, 4792, 269, 4029, 476, 271, 269, 28526, 30020, 4391, 476, 271, 269, 3393, 692, 3086, 596, 4121, 875, 1082, 476, 4792, 269, 4029, 4846, 547, 7273, 543, 875, 1082, 13532, 476, 4792, 269, 4029, 11013, 267, 865, 621, 568, 942, 547, 1847, 593, 547, 519, 476, 4792, 269, 4029, 4846, 547, 7273, 4542, 780, 2162, 476, 4792, 269, 4029, 4846, 547, 6550, 692, 2414, 6460, 476, 4792, 269, 4029, 4846, 547, 721, 7273, 596, 991, 513, 4542, 269, 1284, 786, 1397, 596, 1079, 8747, 540, 513, 4542, 269, 2913, 779, 2253, 609, 519, 1101, 835, 1384, 10831, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 519, 476, 16960, 269, 7176, 274, 3445, 274, 24374, 273, 1267, 538, 6550, 692, 763, 1101, 4528, 540, 513, 4542, 2285, 596, 519, 1034, 4977, 1267, 269, 769, 930, 2665, 1256, 519, 10545, 3017, 666, 581, 1713, 269, 1924, 952, 596, 1616, 547, 1205, 513, 2953, 6364, 910, 713, 4528, 540, 513, 4542, 786, 581, 519, 1655, 3070, 547, 5173, 875, 1082, 6550, 616, 6697, 547, 476, 4792, 269, 4029, 11304, 780, 3383, 1847, 593, 547, 519, 1776, 4528, 540, 513, 4542, 267, 799, 849, 6087, 24740, 547, 1451, 875, 1454, 476, 4792, 269, 4029, 11304, 538, 6550, 780, 763, 10156, 4542, 568, 1524, 2630, 267, 1294, 1384, 8649, 870, 540, 13532, 2608, 476, 273, 269, 273, 815, 519, 6364, 538, 6550, 692, 2026, 596, 666, 1294, 267, 519, 2034, 4542, 568, 12863, 269, 898, 666, 581, 519, 1655, 4781, 952, 596, 1616, 547, 1118, 513, 7503, 540, 476, 4792, 269, 4029, 11304, 547, 6550, 538, 2653, 1259, 267, 585, 1383, 267, 1282, 10918, 269, 1411, 1152, 723, 547, 3314, 602, 3803, 6364, 786, 581, 711, 865, 4977, 780, 3086, 649, 616, 2469, 547, 1397, 596, 891, 1079, 8747, 540, 513, 4542, 538, 2259, 269, 1809, 1354, 649, 616, 2469, 547, 1118, 513, 7503, 540, 476, 4792, 269, 4029, 4846, 547, 7273, 649, 616, 2469, 547, 1397, 596, 4443, 1259, 547, 917, 476, 4792, 269, 4029, 4846, 547, 875, 1082, 7273, 1510, 1022, 4674, 780, 2162, 476, 4792, 269, 4029, 4846, 547, 7273, 20303, 692, 2304, 4443, 1259, 547, 917, 1018, 568, 476, 4792, 269, 4029, 11304, 3160, 547, 538, 6550, 568, 547, 946, 476, 4792, 269, 4029, 4846, 7273, 9498, 269, 1548, 568, 513, 4846, 547, 18470, 20303, 2496, 3519, 591, 614, 568, 606, 3498, 269, 20593, 614, 568, 1759, 593, 1101, 4528, 540, 513, 4542, 799, 649, 5795, 596, 1657, 269, 8729, 547, 476, 4792, 269, 4029, 4846, 11013, 9498, 596, 666, 3533, 6460, 476, 4792, 269, 4029, 4846, 547, 7273, 269, 3807, 4283, 1297, 540, 13532, 799, 596, 991, 547, 6460, 543, 4945, 2048, 20412, 622, 685, 7735, 269, 634, 1267, 786, 581, 3254, 538, 513, 2034, 780, 3383, 1577, 779, 2119, 547, 6460, 476, 4792, 269, 4029, 4846, 883, 7273, 1210, 476, 4792, 269, 4029, 4846, 5288, 11013, 9498, 269, 1284, 9411, 476, 4792, 269, 4029, 607, 513, 1297, 540, 13532, 269, 898, 568, 519, 6364, 281, 476, 4792, 269, 4029, 11304, 815, 476, 16960, 269, 7176, 274, 3445, 274, 24374, 273, 6550, 780, 2026, 596, 666, 1294, 267, 713, 476, 4792, 269, 4029, 4846, 5288, 7273, 20303, 568, 2653, 547, 946, 780, 3086, 649, 666, 1847, 593, 547, 938, 3119, 3390, 910, 875, 547, 6460, 476, 4792, 269, 4029, 13532, 547, 6550, 593, 707, 1378, 780, 2971, 476, 4792, 269, 4029, 4846, 547, 7273, 7503, 692, 2171, 786, 2253, 476, 4792, 269, 4029, 11304, 11224, 547, 875, 1082, 6550, 9819, 609, 519, 1101, 4542, 547, 1205, 519, 1034, 4977, 6364, 269, 589, 2656, 12576, 540, 513, 4542, 1384, 8649, 870, 540, 13532, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 16960, 269, 7176, 274, 3445, 274, 24374, 273, 519, 6364, 538, 6550, 692, 3383, 1018, 991, 596, 798, 547, 2638, 875, 1082, 6550, 3160, 547, 476, 4792, 269, 4029, 11304, 286, 3807, 9062, 2179, 540, 13532, 267, 538, 713, 2013, 476, 4792, 269, 4029, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 568, 4010, 476, 16960, 269, 7176, 274, 3445, 274, 24374, 273, 269, 1924, 476, 4792, 269, 4029, 11304, 568, 4010, 476, 16960, 269, 7176, 274, 3445, 274, 24374, 273, 780, 2005, 568, 849, 2009, 547, 5180, 1055, 713, 1267, 267, 585, 1383, 267, 547, 1079, 8918, 4025, 269, 898, 568, 4010, 476, 273, 269, 736, 269, 1924, 476, 4792, 269, 4029, 11304, 815, 476, 16960, 269, 6924, 273, 271, 6550, 780, 2005, 568, 942, 585, 606, 1383, 689, 4948, 1272, 269, 2913, 779, 6460, 476, 4792, 269, 4029, 4846, 4154, 538, 6550, 269, 1924, 476, 4792, 269, 4029, 4846, 3160, 547, 875, 1082, 7273, 286, 1656, 1586, 910, 9062, 476, 4792, 269, 4029, 676, 476, 273, 269, 14225, 25118, 7830, 269, 898, 3947, 476, 16960, 269, 7176, 274, 3445, 274, 24374, 273, 269, 1924, 6697, 540, 476, 4792, 269, 4029, 13532, 547, 6550, 267, 952, 621, 2501, 547, 4154, 267, 568, 3160, 476, 16960, 269, 7176, 274, 3445, 274, 24374, 273, 780, 1103, 713, 2013, 621, 568, 849, 2009, 547, 5180, 1055, 519, 1267, 269, 3371, 568, 519, 1267, 1310, 24263, 1055, 267, 713, 942, 547, 835, 8918, 1747, 910, 476, 4792, 269, 4029, 11304, 476, 16960, 269, 6924, 273, 6550, 780, 3086, 649, 666, 1847, 593, 547, 1806, 10736, 1210, 2110, 4542, 780, 2971, 1215, 1082, 476, 4792, 269, 4029, 4846, 547, 7273, 692, 6524, 649, 1397, 596, 606, 1383, 910, 513, 2656, 12576, 540, 10156, 4542, 1384, 10831, 540, 13532, 2608, 476, 273, 269, 273, 815, 476, 16960, 269, 6924, 273, 519, 1267, 538, 6550, 692, 3383, 476, 4792, 269, 4029, 4846, 3160, 547, 875, 1454, 7273, 286, 1656, 1586, 267, 596, 991, 547, 9062, 1297, 540, 11304, 267, 538, 713, 2013, 476, 4792, 269, 4029, 267, 676, 476, 273, 269, 273, 269, 6423, 281, 476, 4792, 269, 4029, 2608, 476, 273, 269, 273, 815, 476, 16960, 269, 6924, 273, 269, 1924, 476, 4792, 269, 4029, 11304, 568, 3160, 476, 273, 269, 273, 6550, 780, 2710, 1776, 9819, 1210, 713, 4528, 540, 513, 4542, 269, 3767, 5173, 1945, 689, 4948, 1272, 267, 585, 1383, 267, 476, 4792, 269, 4029, 4846, 547, 7273, 2597, 540, 22229, 780, 3383, 1577, 779, 5173, 910, 476, 4792, 269, 4029, 11304, 540, 22229, 2608, 476, 273, 269, 273, 815, 476, 16960, 269, 6924, 273, 6550, 540, 22229, 269, 1924, 476, 4792, 269, 4029, 4846, 547, 11013, 2527, 568, 4010, 476, 16960, 269, 6924, 273, 780, 2252, 596, 917, 875, 1454, 568, 476, 4792, 269, 4029, 11304, 2597, 538, 6550, 543, 616, 2111, 547, 5173, 621, 1210, 1079, 1114, 12596, 267, 1577, 779, 1847, 593, 269, 3767, 649, 1616, 547, 1397, 596, 782, 4093, 538, 7515, 780, 2971, 22417, 476, 4792, 269, 4029, 11304, 547, 6550, 692, 2171, 917, 602, 2164, 4843, 538, 7515, 616, 865, 1454, 20501, 585, 1034, 540, 596, 269, 898, 568, 11207, 24669, 267, 865, 649, 10356, 782, 891, 2164, 538, 7515, 585, 707, 13418, 269, 9603, 547, 713, 596, 666, 3533, 1118, 513, 6476, 476, 4792, 269, 4029, 4846, 6697, 547, 7273, 2164, 780, 4131, 779, 2253, 609, 513, 476, 4792, 269, 4029, 4846, 11224, 7273, 3349, 585, 519, 1101, 4528, 540, 513, 4542, 1384, 298, 559, 9999, 623, 2432, 623, 2432, 630, 12898, 24263, 1055, 547, 1079, 8918, 4025, 994, 4792, 269, 4029, 476, 16960, 269, 7176, 274, 3445, 274, 24374, 273, 476, 16960, 269, 6924, 273, 271, 692, 4517, 1631, 1413, 476, 4792, 269, 4029, 4846, 3160, 11013, 5750, 585, 519, 2034, 4542, 1384, 298, 559, 9999, 623, 2432, 454, 4792, 269, 4029, 476, 16960, 269, 6924, 273, 692, 2026, 596, 1294, 267, 1310, 24263, 1055, 267, 950, 621, 2501, 547, 875, 1454, 476, 4792, 269, 4029, 11304, 11224, 6550, 267, 519, 4093, 616, 519, 1482, 269, 634, 8273, 2179, 519, 811, 9645, 3017, 269, 7490, 4063, 621, 950, 596, 1616, 547, 798, 8273, 1297, 982, 476, 4792, 269, 4029, 13532, 6550, 7503, 780, 2971, 1215, 1082, 13532, 476, 4792, 269, 4029, 11013, 692, 3086, 596, 4121, 875, 547, 5173, 476, 4792, 269, 4029, 13532, 875, 1454, 6550, 855, 649, 786, 1397, 596, 1945, 811, 269, 3657, 596, 8049, 1018, 621, 568, 286, 1548, 798, 596, 2161, 827, 476, 4792, 269, 4029, 11304, 547, 6550, 543, 13728, 7503, 2496, 2171, 1616, 547, 1397, 596, 875, 596, 666, 6460, 621, 2370, 676, 2370, 269, 3399, 269, 1215, 1454, 568, 476, 4792, 269, 4029, 4846, 538, 7273, 543, 12063, 2496, 5575, 3364, 596, 991, 547, 798, 568, 9062, 1297, 540, 13532, 267, 713, 942, 476, 4792, 269, 4029, 267, 676, 476, 273, 269, 14225, 25118, 7830, 269, 1924, 476, 4792, 269, 4029, 2608, 476, 273, 269, 14225, 25118, 7830, 815, 476, 16960, 269, 7176, 274, 3445, 274, 24374, 273, 269, 2290, 11304, 568, 4010, 476, 273, 269, 14225, 25118, 7830, 6550, 780, 763, 8870, 851, 568, 1297, 540, 6550, 269, 1924, 538, 713, 2013, 972, 616, 476, 273, 6550, 780, 2414, 6460, 875, 1454, 476, 4792, 269, 4029, 11304, 568, 3160, 547, 6550, 543, 13728, 596, 723, 547, 9062, 6824, 851, 676, 476, 1626, 269, 1924, 9062, 476, 14225, 25118, 7830, 676, 476, 1626, 269, 898, 568, 476, 27628, 31256, 4572, 13728, 780, 3383, 3803, 6364, 568, 476, 273, 6550, 543, 476, 27628, 31256, 4572, 13728, 269, 898, 568, 849, 2009, 547, 5180, 1055, 13728, 267, 585, 1383, 267, 547, 1079, 4025, 269, 3973, 3803, 1267, 568, 4010, 476, 273, 6550, 543, 476, 3451, 13728, 780, 2026, 596, 666, 1294, 267, 7503, 476, 4792, 269, 4029, 11304, 538, 6550, 543, 13728, 2653, 780, 763, 2063, 7503, 799, 649, 786, 1397, 596, 568, 7503, 540, 476, 4792, 269, 4029, 3723, 6550, 547, 13532, 7397, 269, 5637, 3723, 6550, 543, 13532, 7397, 616, 4559, 540, 960, 780, 2414, 5173, 3723, 6550, 547, 11304, 7397, 621, 568, 2877, 1776, 4542, 269, 6969, 649, 2285, 596, 621, 267, 1577, 779, 1294, 1384, 1892, 476, 4792, 269, 4029, 13532, 7397, 815, 476, 278, 269, 22001, 25320, 5952, 3723, 6550, 2676, 1892, 476, 4792, 269, 4029, 3723, 6550, 815, 476, 271, 269, 15946, 22724, 4817, 13532, 7397, 780, 3086, 1577, 779, 1294, 513, 4542, 1384, 10831, 10611, 24655, 292, 2211, 28829, 540, 3723, 6550, 2608, 476, 271, 269, 15946, 22724, 4817, 815, 519, 1267, 538, 13532, 7397, 692, 3383, 547, 6460, 476, 4792, 269, 4029, 3723, 6550, 547, 13532, 7397, 596, 991, 547, 9062, 476, 4792, 269, 4029, 676, 476, 271, 269, 15946, 22724, 4817, 269, 898, 568, 4010, 476, 271, 269, 15946, 22724, 4817, 269, 1924, 476, 4792, 269, 4029, 3723, 6550, 568, 476, 271, 269, 15946, 22724, 4817, 11304, 7397, 780, 2791, 666, 849, 5180, 1055, 713, 1267, 267, 585, 1383, 267, 547, 1079, 8918, 4025, 269, 3973, 476, 4792, 269, 4029, 3723, 6550, 786, 581, 4010, 476, 271, 269, 1691, 11304, 7397, 780, 2171, 4126, 602, 713, 9819, 729, 607, 2653, 607, 476, 4792, 269, 4029, 11304, 883, 6550, 9273, 780, 1607, 2376, 729, 513, 2462, 735, 754, 1756, 827, 11304, 267, 11013, 543, 476, 4792, 269, 4029, 4846, 547, 7273, 538, 7503, 269, 9603, 547, 713, 7503, 596, 4121, 476, 4792, 269, 4029, 11304, 568, 6697, 547, 875, 1082, 6550, 780, 2171, 4951, 596, 711, 1152, 875, 547, 1118, 513, 9819, 476, 4792, 269, 4029, 11304, 547, 11973, 6550, 855, 849, 1079, 824, 9273, 910, 547, 917, 875, 1082, 476, 4792, 269, 4029, 4846, 538, 6550, 543, 13728, 543, 875, 1082, 476, 4792, 269, 4029, 3723, 6550, 547, 13532, 7397, 780, 2171, 4951, 596, 849, 824, 1259, 547, 1118, 476, 4792, 269, 4029, 11304, 875, 1082, 6550, 9273, 267, 713, 568, 1210, 476, 4792, 269, 4029, 4846, 679, 11013, 20303, 269, 898, 568, 519, 1655, 3070, 585, 1346, 540, 596, 945, 798, 711, 899, 12719, 593, 707, 1378, 693, 782, 610, 713, 942, 798, 711, 1616, 547, 1118, 7711 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 12928, 1057, 1907, 267, 543, 1287, 8749, 269, 8437, 593, 634, 2048, 290, 1886, 12005, 685, 29502, 610, 8564, 621, 538, 634, 8629, 15484, 21741, 269, 1403, 596, 1616, 547, 7693, 519, 3239, 538, 5858, 610, 13551, 267, 596, 666, 946, 519, 11875, 15199, 610, 25351, 4120, 1907, 1932, 269, 769, 519, 700, 16558, 8470, 267, 519, 3239, 5526, 593, 519, 17461, 4494, 281, 26598, 781, 700, 16558, 8470, 269, 1411, 666, 4188, 519, 7516, 540, 713, 5186, 6137, 4216, 952, 2877, 269, 7937, 267, 543, 519, 5858, 814, 547, 581, 538, 4395, 540, 519, 1843, 538, 519, 10518, 532, 1931, 269, 1306, 596, 666, 1294, 538, 519, 3239, 267, 594, 723, 669, 4680, 519, 3239, 540, 713, 3083, 604, 269, 476, 3199, 277, 700, 10105, 269, 5131, 6732, 17421, 15503, 269, 589, 9949, 5186, 6137, 4216, 568, 1287, 10268, 1759, 593, 713, 4857, 6712, 540, 519, 3239, 269, 6145, 3690, 17218, 269, 17797, 519, 2450, 540, 713, 13551, 547, 707, 5497, 5186, 6137, 1858, 269, 594, 6415, 1007, 547, 16503, 15249, 543, 991, 1900, 676, 1900, 5528, 256, 476, 272, 269, 2060, 835, 610, 811, 11251, 2592, 5697, 267, 1256, 952, 1114, 7306, 267, 4945, 593, 519, 30495, 12005, 2560, 8571, 513, 17781, 4635, 476, 273, 291, 25609, 3767, 267, 649, 991, 547, 1491, 519, 2560, 1215, 547, 30495, 16071, 538, 16503, 15249, 1107, 14301, 513, 23426, 3399, 676, 5373, 513, 13551, 269, 7102, 948, 15874, 267, 7064, 513, 2603, 8206, 901, 568, 1175, 513, 11315, 1383, 269, 1411, 666, 2901, 1930, 513, 795, 17989, 3239, 609, 16503, 15249, 689, 519, 1265, 518, 609, 519, 2048, 13449, 609, 685, 4971, 610, 8749, 835, 883, 606, 5571, 1788, 269, 5153, 476, 273, 281, 1133, 6674, 519, 17461, 4494, 269, 634, 5542, 1590, 2270, 811, 982, 835, 1843, 1701, 269, 15867, 6137, 538, 519, 21912, 12005, 269, 15233, 547, 519, 8482, 540, 513, 5858, 269, 8564, 1312, 519, 13551, 543, 519, 3239, 282, 3442, 8629, 3436, 1849, 6235, 631, 2532, 3436, 5269, 269, 5269, 2386, 519, 6445, 2681, 568, 1305, 547, 9039, 865, 602, 519, 4890, 3239, 568, 7298, 1247, 5373, 519, 3337, 269, 1215, 798, 594, 7693, 606, 3239, 609, 513, 1849, 6235, 631, 2532, 1210, 513, 5858, 3079, 540, 513, 13551, 286, 2142, 2186, 543, 16614, 267, 2285, 5491, 547, 519, 3312, 2707, 540, 1543, 267, 543, 3406, 585, 5918, 27289, 1354, 20171, 269, 16103, 1522, 581, 1271, 585, 596, 547, 960, 593, 2870, 11247, 538, 23453, 12005, 538, 23489, 16503, 15249, 269, 1677, 798, 865, 4945, 593, 519, 5835, 543, 6960, 813, 602, 3568, 2560, 772, 22744, 707, 2592, 547, 707, 12384, 22129, 3896, 269, 1411, 3580, 723, 547, 16924, 10250, 707, 623, 7582, 3079, 269, 1677, 798, 602, 267, 6330, 547, 7392, 9847, 7392, 593, 513, 11202, 9847, 7392, 593, 513, 11202, 18169, 1547, 30495, 3239, 883, 513, 5858, 269, 6423, 519, 717, 9281, 2630, 585, 513, 18589, 615, 593, 1141, 547, 1265, 519, 7693, 1907, 269, 3689, 267, 1491, 519, 25351, 4120, 15484, 630, 300, 264, 543, 2721, 513, 13551, 936, 519, 4605, 269, 16790, 25252, 2248, 2337, 596, 3533, 7522, 1524, 707, 3406, 2164, 676, 11021, 2009, 13292, 607, 596, 1826, 269, 1411, 786, 581, 2111, 547, 1689, 519, 2450, 543, 7516, 540, 713, 2663, 282, 5373, 1022, 4351, 13551, 585, 1631, 786, 798, 269, 4495, 596, 917, 875, 547, 1104, 606, 3239, 883, 707, 16503, 15249, 3561, 621, 3587, 1360, 2653, 547, 1711, 5863, 23877, 1210, 873, 269, 634, 12005, 29895, 4183, 3096, 513, 16762, 5690, 547, 5352, 513, 6152, 16439, 540, 606, 3239, 1759, 593, 519, 3239, 779, 5888, 269, 1403, 596, 4076, 6836, 1210, 519, 12005, 29895, 4183, 547, 6460, 707, 623, 7582, 547, 6152, 609, 23489, 16503, 15249, 267, 543, 519, 4611, 10250, 3884, 1406, 1360, 4977, 267, 1287, 602, 1797, 596, 2461, 2324, 609, 606, 3239, 609, 1932, 1950, 540, 513, 5888, 585, 13128, 16439, 269, 14956, 13369, 631, 3696, 616, 1360, 2147, 547, 804, 6235, 13968, 267, 855, 789, 723, 811, 1852, 3681, 269, 1677, 1205, 519, 5858, 267, 8437, 295, 1245, 593, 1283, 540, 519, 25351, 4120, 15484, 7735, 267, 1287, 4945, 519, 11875, 15199, 15484, 538, 519, 8038, 719, 282, 596, 666, 595, 671, 1731, 291, 4048, 609, 29196, 4371, 547, 1205, 513, 5858, 267, 610, 1175, 4945, 543, 7696, 654, 543, 670, 2418, 267, 1287, 8749, 883, 1747, 269, 898, 786, 948, 596, 547, 1491, 1022, 3296, 540, 519, 3239, 585, 707, 1788, 960, 269, 1879, 596, 1118, 513, 5858, 3337, 267, 621, 786, 1413, 899, 713, 593, 9049, 6478, 281, 16270, 18138, 519, 5858, 267, 14301, 13088, 786, 581, 15181, 269, 7046, 610, 1711, 513, 3758, 538, 23489, 16503, 15249, 269, 3143, 2027, 1983, 616, 2838, 547, 798, 519, 5858, 5186, 6137, 538, 938, 813, 269, 1684, 835, 540, 519, 1739, 281, 8437, 15233, 593, 519, 6513, 8470, 269, 4964, 966, 547, 6467, 547, 519, 19139, 1907, 543, 4945, 3544, 519, 10580, 547, 964, 19491, 269, 2060, 519, 3239, 1930, 538, 23489, 16503, 15249, 267, 2824, 32001, 3436, 12005, 29895, 269, 769, 3879, 15249, 596, 723, 547, 723, 513, 1114, 2247, 1305, 267, 1210, 804, 6235, 13968, 269, 1411, 666, 3362, 7693, 538, 519, 5532, 3239, 676, 1739, 519, 2630, 3268, 269, 4935, 267, 596, 666, 798, 621, 2560, 6969, 596, 1451, 875, 547, 7693, 538, 16503, 15249, 267, 596, 991, 547, 1101, 1747, 2592, 269, 2201, 519, 2427, 267, 596, 666, 3442, 519, 3898, 547, 4688, 707, 3758, 538, 267, 607, 1134, 607, 519, 32197, 267, 2298, 610, 667, 18444, 630, 28436, 1040, 901, 5850, 786, 1397, 596, 606, 2653, 1259, 547, 1711, 513, 5858, 538, 23489, 16503, 15249, 269, 1677, 1007, 7399, 519, 1101, 3364, 649, 723, 2097, 609, 2241, 4388, 547, 2592, 1862, 1772, 1287, 10268, 1759, 593, 713, 4857, 6712, 540, 519, 678, 2120, 3239, 855, 786, 711, 4894, 621, 6287, 2592, 23489, 1862, 634, 6513, 8470, 568, 1305, 547, 9039, 865, 602, 519, 4890, 3239, 568, 538, 623, 7582, 31179, 9680, 269, 12005, 538, 23489, 16503, 15249, 623, 7582, 2592, 2592, 2443, 971, 607, 513, 5858, 593, 12384, 22129, 281, 476, 272, 1899, 10126, 23511, 22490, 547, 798, 568, 1930, 938, 3239, 267, 568, 606, 6732, 1907, 267, 1031, 547, 7693, 707, 8666, 10741, 609, 256, 1772, 621, 865, 2241, 538, 16503, 15249, 267, 1747, 4016, 547, 8744, 6119, 883, 606, 3738, 1862, 2986, 6111, 538, 5858, 610, 13551, 1907, 630, 623, 3738, 2721, 856, 513, 3337, 609, 606, 3239, 513, 256, 589, 6712, 540, 519, 23489, 3292, 538, 519, 11483, 1920, 13968, 616, 1360, 547, 256, 27748, 547, 1930, 621, 543, 1294, 519, 717, 9281, 2630, 585, 513, 18589, 615, 593, 1141, 547, 1265, 519, 2626, 1022, 256, 5269, 2386, 519, 6445, 2681, 568, 1305, 547, 9039, 865, 602, 519, 4890, 3239, 538, 1862, 898, 666, 581, 11251, 538, 513, 17208, 2619, 267, 8749, 519, 7693, 5858, 547, 5551, 4087, 519, 1862, 11711, 676, 10296, 968, 595, 27530, 9539, 9232, 593, 519, 17198, 938, 7746, 666, 2721, 513, 610, 269, 2052, 3533, 1689, 519, 3337, 540, 513, 13551, 610, 513, 5858, 593, 12384, 22129, 281, 476, 272, 5186, 6137, 4216, 952, 23511, 21070, 16439, 540, 606, 3239, 607, 513, 5858, 267, 596, 666, 24672, 1747, 621, 707, 269, 715, 31415, 2491, 875, 547, 2759, 543, 13594, 513, 4605, 883, 5858, 813, 2306, 519, 1184, 811, 8465, 543, 3860, 971, 256, 3973, 17776, 547, 519, 3312, 3239, 269, 13088, 3436, 14474, 267, 543, 3406, 585, 5918, 27289, 1354, 20171, 568, 5097, 16503, 15249, 269, 8791, 540, 519, 3239, 269, 3561, 621, 3587, 1360, 2653, 547, 1711, 5863, 23877, 1210, 873, 610, 630, 1862, 634, 5186, 5529, 3239, 786, 1287, 17776, 547, 519, 5542, 1907, 543, 4945, 593, 519, 3203, 4580, 12835, 543, 2721, 513, 610, 1862, 16503, 15249, 1310, 11483, 276, 3296, 540, 519, 5858, 5186, 6137, 538, 1022, 948, 3758, 2386, 621, 11313, 521, 3750, 1007, 7399, 568, 1862, 6282, 525, 513, 3095, 547, 519, 3312, 3239, 269, 1210, 804, 6235, 13968, 631, 2532, 538, 8747, 269, 4595, 649, 616, 804, 6235, 3337, 540, 513, 13551, 936, 519, 3239, 1930, 23489, 269, 19130, 519, 9511, 540, 519, 1843, 538, 519, 10518, 532, 1931, 606, 9749, 518, 519, 12181, 269, 17781, 610, 13551, 1907, 630, 623, 3738, 2721, 856, 513, 3337, 609, 606, 3203, 4580, 2619, 630, 609, 519, 907, 11875, 15199, 610, 13551, 267, 596, 666, 3442, 519, 12928, 1057, 630, 3738, 1907, 616, 2838, 547, 798, 621, 3533, 1524, 256, 9365, 267, 543, 538, 519, 10518, 532, 1931, 267, 1256, 952, 1114, 7306, 267, 4945, 519, 896, 256, 1411, 666, 24672, 1747, 621, 883, 707, 16503, 15249, 3561, 621, 3587, 1360, 2653, 547, 3314, 267, 3436, 256, 744, 1998, 3738, 6152, 16439, 540, 606, 3239, 543, 2721, 519, 7693, 607, 4706, 13574, 3239, 23489, 12333, 256, 634, 13691, 1747, 621, 883, 707, 3785, 713, 3239, 689, 23489, 14351, 519, 269, 17781, 2592, 543, 17031, 5546, 1510, 519, 991, 547, 1491, 519, 2560, 5373, 513, 13551, 610, 513, 5858, 13972, 1421, 1747, 4016, 547, 8744, 6119, 883, 606, 4540, 3561, 3561, 621, 1360, 269, 4400, 4110, 540, 6111, 538, 5858, 610, 13551, 267, 596, 991, 547, 946, 519, 11875, 15199, 1907, 3738, 4480, 596, 1862, 4676, 619, 547, 8744, 6119, 883, 606, 4540, 3561, 917, 875, 547, 7693, 513, 16439, 1862, 15867, 5529, 3239, 786, 1287, 17776, 547, 519, 3312, 2707, 540, 1543, 1210, 13968, 23489, 269, 1656, 4687, 621, 609, 707, 2828, 16762, 5690, 547, 5352, 513, 6152, 3239, 538, 16503, 15249, 267, 991, 1862, 594, 8437, 291, 4048, 609, 29196, 4371, 547, 1205, 707, 2592, 883, 513, 5858, 267, 949, 1862, 769, 4971, 1899, 8666, 593, 707, 3203, 4580, 3312, 2707, 540, 1543, 1210, 13968, 538, 23489, 16503, 15249, 649, 269, 8943, 281, 476, 12893, 272, 4087, 281, 6239, 13325, 267, 7330, 15234, 547, 1747, 519, 1257, 568, 12424, 539, 28870, 883, 519, 23511, 3245, 513, 796, 2305, 540, 519, 678, 2120, 3239, 855, 786, 711, 4894, 621, 1843, 1907, 21741, 281, 476, 278, 1240, 11835, 1441, 281, 24956, 1709, 1862, 1772, 875, 547, 1205, 707, 2592, 547, 938, 7746, 13143, 519, 7693, 3239, 11313, 610, 1421, 17157, 267, 12404, 267, 543, 7693, 1543, 1210, 13968, 547, 1118, 11247, 1862, 595, 27530, 9539, 9232, 593, 519, 6513, 8470, 267, 568, 606, 6732, 1907, 267, 547, 269, 898, 865, 2241, 538, 16503, 15249, 1107, 5373, 513, 3337, 267, 971, 607, 513, 5858, 3337, 476, 272, 256, 4706, 13574, 3239, 23489, 7991, 12333, 7693, 607, 4706, 13574, 3239, 23489, 7991, 12333, 10081, 25252, 2248, 2337, 596, 7522, 269, 14825, 5597, 16013, 4364, 547, 6445, 513, 3337, 875, 649, 666, 7693, 2592, 538, 4971, 1899, 22212, 519, 3758, 269, 1323, 4540, 3561, 3337, 543, 2450, 1294, 543, 3442, 519, 5186, 6137, 3681, 689, 519, 1292, 2856, 3297, 713, 568, 519, 269, 10812, 875, 547, 1104, 606, 3239, 547, 513, 1808, 3337, 2356, 2501, 593, 519, 1862, 1684, 562, 1405, 2491, 875, 547, 3362, 7693, 538, 519, 3239, 29895, 4183, 3096, 16762, 907, 12181, 519, 24072, 936, 519, 1843, 596, 1616, 547, 946, 519, 3239, 269, 1711, 1007, 269, 22731, 3337, 543, 2450, 2824, 1312, 519, 5858, 5186, 6137, 1631, 267, 649, 616, 804, 6235, 3337, 540, 513, 13551, 519, 269, 5381, 547, 804, 6235, 13968, 267, 855, 596, 666, 2721, 513, 13551, 936, 519, 3239, 1930, 538, 23489, 2807, 2201, 513, 2619, 2059, 519, 1843, 883, 1079, 543, 1711, 513, 1007, 5858, 676, 1210, 519, 4050, 610, 1862, 3502, 14202, 532, 707, 2592, 543, 13594, 513, 4605, 676, 5186, 6137, 621, 547, 513, 1455, 8666, 2450, 610, 2460, 5223, 621, 1862, 1677, 1101, 1747, 2592, 26819, 519, 1843, 596, 1616, 547, 7693, 513, 8666, 513, 256, 476, 273, 2081, 602, 596, 666, 946, 519, 11875, 15199, 1907, 5697, 1907, 1287, 946, 595, 30113, 630, 595, 27530, 3738, 547, 1862, 16514, 13088, 3436, 14474, 267, 543, 3406, 585, 5918, 27289, 1354, 20171, 1309, 562, 1405, 3100, 547, 1265, 519, 7693, 2560, 1862, 30495, 538, 519, 11483, 1920, 4371, 547, 1205, 519, 6287, 2592, 538, 23489, 16503, 15249, 1451, 519, 2081, 269, 16514, 676, 5186, 6137, 621, 547, 513, 1808, 3337, 713, 1907, 7693, 2592, 538, 23489, 16503, 15249, 2196, 256, 1215, 547, 1205, 707, 2592, 16503, 15249, 543, 991, 1900, 676, 1900, 5528, 8837, 3738, 610, 17776, 630, 5839, 13013, 2807, 6168, 875, 547, 2759, 606, 3239, 568, 7298 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 12450, 1063, 938, 3946, 547, 1294, 519, 3165, 968, 1952, 792, 892, 538, 519, 12826, 269, 898, 568, 971, 606, 2500, 9804, 21903, 543, 729, 1390, 1187, 269, 32167, 2812, 2813, 1082, 1114, 2010, 540, 3165, 267, 607, 1134, 607, 1360, 4277, 7648, 540, 7382, 269, 6744, 856, 938, 5961, 1657, 269, 901, 568, 3163, 10432, 256, 476, 275, 628, 4147, 10453, 14736, 539, 1055, 3163, 10432, 609, 513, 2661, 1397, 602, 9976, 782, 1919, 3163, 256, 634, 1397, 729, 18799, 676, 3627, 26588, 12121, 630, 8072, 300, 14243, 842, 324, 7546, 3627, 685, 689, 21512, 32723, 779, 5851, 3427, 16735, 1040, 3627, 729, 8678, 676, 2027, 14538, 267, 1519, 26778, 3911, 2814, 630, 1492, 16595, 3474, 531, 2096, 335, 1014, 593, 519, 4541, 1070, 28133, 661, 514, 4614, 1231, 3163, 11833, 543, 519, 2069, 2319, 689, 16836, 1260, 518, 20570, 5244, 269, 476, 275, 628, 4147, 10453, 4121, 827, 519, 2792, 2409, 540, 19246, 267, 519, 3750, 267, 9804, 2192, 16272, 267, 9265, 543, 865, 1454, 811, 256, 1284, 1413, 4464, 547, 2921, 851, 538, 930, 811, 3163, 10432, 2238, 713, 3018, 269, 32686, 1076, 654, 1343, 901, 3018, 267, 476, 275, 628, 4147, 10453, 1185, 1390, 1187, 1565, 827, 18616, 269, 3689, 267, 519, 10453, 8268, 1018, 621, 3217, 547, 1118, 513, 19389, 630, 534, 9018, 4494, 540, 12853, 6675, 267, 513, 1647, 4494, 540, 1216, 6675, 543, 606, 6418, 4494, 540, 12853, 6675, 1040, 8921, 267, 519, 2856, 540, 18616, 543, 741, 7990, 729, 11567, 269, 898, 729, 1336, 602, 18616, 1205, 741, 7990, 689, 519, 1769, 6329, 602, 616, 10452, 538, 519, 1647, 4494, 269, 3973, 267, 649, 6743, 883, 519, 3337, 540, 18616, 269, 898, 729, 1360, 4277, 547, 1451, 602, 513, 12106, 568, 519, 15864, 3337, 585, 513, 19389, 267, 607, 621, 6585, 519, 1034, 2011, 269, 14936, 267, 649, 1305, 1055, 547, 960, 593, 938, 1360, 1378, 19389, 530, 1343, 269, 1284, 1031, 10612, 2973, 619, 607, 938, 530, 1343, 267, 799, 649, 22285, 539, 883, 1082, 5546, 630, 15132, 548, 267, 2295, 267, 6906, 267, 24814, 267, 4009, 3092, 12175, 1284, 1019, 5529, 938, 530, 1343, 883, 513, 3070, 540, 1216, 543, 11067, 909, 5277, 267, 1354, 8380, 938, 530, 1343, 547, 519, 1449, 269, 476, 275, 628, 4147, 10453, 4362, 602, 267, 1100, 2339, 1018, 3337, 18389, 729, 1031, 267, 519, 18616, 2141, 7902, 538, 519, 3337, 540, 513, 12106, 269, 1215, 5863, 26834, 5303, 5292, 1399, 1107, 519, 7874, 1982, 30154, 8773, 256, 15516, 16110, 324, 779, 476, 275, 628, 4147, 1185, 1390, 1187, 8380, 741, 8193, 1983, 547, 519, 1449, 269, 3689, 267, 519, 10453, 4956, 593, 513, 5547, 3950, 585, 5292, 1399, 269, 3973, 267, 5292, 1399, 1185, 547, 581, 5402, 23553, 538, 1931, 547, 1246, 519, 5547, 3950, 602, 729, 1305, 856, 269, 901, 2534, 729, 1390, 1187, 543, 2731, 25623, 782, 540, 519, 8049, 8186, 1369, 519, 1362, 269, 1403, 513, 12161, 729, 1500, 267, 519, 10453, 556, 2275, 10757, 543, 6836, 1586, 269, 898, 568, 782, 851, 540, 519, 1565, 1187, 256, 7177, 2913, 779, 1628, 513, 8115, 1107, 15516, 28418, 2913, 779, 1628, 513, 8115, 1107, 15516, 16110, 324, 476, 275, 628, 4147, 10453, 5063, 4121, 827, 1585, 2010, 540, 13123, 267, 875, 789, 616, 2813, 267, 6462, 543, 1141, 789, 666, 581, 1336, 269, 1284, 8268, 513, 11237, 8115, 267, 2895, 8115, 267, 10814, 3613, 26359, 8115, 543, 513, 959, 1380, 8115, 269, 32167, 2812, 3838, 6266, 540, 741, 1378, 2833, 540, 13123, 543, 4857, 13123, 1934, 538, 8581, 267, 585, 1383, 519, 12794, 685, 335, 10154, 2895, 8115, 538, 25212, 269, 8921, 267, 519, 10453, 941, 2016, 519, 4161, 540, 8888, 2947, 13123, 1210, 2835, 267, 1957, 543, 796, 32267, 18695, 269, 32167, 2812, 2813, 513, 2582, 1606, 18694, 8115, 267, 5595, 1606, 18694, 8115, 267, 818, 3481, 8115, 267, 3774, 539, 8115, 543, 1351, 2607, 730, 8115, 269, 1133, 32267, 18695, 941, 533, 6150, 5196, 1142, 8115, 538, 1931, 547, 1449, 741, 4222, 269, 3689, 267, 10453, 1500, 11236, 607, 547, 875, 1082, 18695, 1142, 8115, 1131, 3180, 269, 3973, 267, 519, 13123, 941, 2322, 547, 519, 1449, 269, 476, 275, 628, 4147, 10453, 1336, 519, 3774, 539, 8115, 547, 581, 519, 16999, 267, 6466, 519, 835, 1606, 18694, 8115, 9863, 547, 581, 519, 4617, 652, 269, 1284, 1185, 865, 1454, 1187, 1282, 713, 4603, 256, 13174, 476, 273, 291, 25609, 15516, 16110, 324, 779, 543, 15516, 28418, 685, 476, 275, 628, 4147, 10453, 723, 1044, 1565, 827, 476, 273, 291, 25609, 269, 1358, 941, 1305, 519, 4161, 540, 2870, 513, 3337, 1210, 561, 3326, 760, 641, 16853, 630, 276, 10945, 1070, 543, 1287, 1185, 547, 4894, 1079, 561, 3326, 760, 641, 16853, 547, 2490, 741, 3337, 883, 4010, 476, 275, 10945, 269, 634, 10453, 2731, 10150, 713, 4161, 256, 8921, 267, 649, 1031, 519, 561, 3326, 760, 641, 16853, 689, 938, 4161, 547, 1711, 930, 540, 519, 5546, 602, 649, 1185, 1044, 1565, 827, 630, 338, 13645, 267, 32077, 639, 267, 13551, 267, 25521, 267, 5858, 267, 6906, 3092, 12175, 1879, 1818, 891, 5546, 267, 621, 729, 1360, 1271, 585, 519, 10453, 547, 3314, 602, 1152, 519, 6587, 5011, 540, 513, 13551, 270, 1706, 5537, 6945, 616, 3160, 267, 543, 711, 782, 2185, 5011, 269, 634, 10453, 1705, 971, 606, 5863, 2816, 256, 27449, 538, 519, 1604, 476, 275, 628, 4147, 10453, 723, 1044, 1360, 11112, 1565, 827, 2048, 17951, 956, 8730, 538, 1880, 8650, 267, 1073, 339, 2224, 543, 1318, 7285, 269, 17616, 267, 519, 10453, 1031, 930, 10612, 2973, 619, 547, 2697, 7285, 538, 741, 1837, 269, 3973, 267, 789, 2322, 741, 1565, 547, 519, 1449, 543, 6836, 547, 2697, 930, 7285, 1369, 519, 4928, 269, 634, 10453, 1336, 602, 972, 941, 513, 2603, 811, 7285, 1369, 741, 10450, 267, 982, 1018, 789, 1185, 10567, 269, 901, 2534, 729, 6266, 540, 1187, 256, 13241, 8058, 543, 15681, 476, 274, 291, 24614, 1107, 476, 276, 628, 4147, 2097, 585, 513, 3643, 256, 15516, 16110, 324, 779, 476, 275, 628, 4147, 941, 1360, 18822, 547, 723, 1185, 1079, 8748, 476, 276, 628, 4147, 10453, 1402, 538, 547, 2911, 827, 476, 274, 291, 24614, 269, 6762, 773, 543, 674, 542, 333, 941, 11212, 13181, 543, 10268, 930, 5863, 4773, 540, 741, 1378, 960, 269, 1358, 1256, 5795, 930, 540, 621, 2476, 593, 519, 1554, 256, 476, 275, 628, 4147, 3112, 7227, 547, 723, 596, 1312, 1394, 585, 1776, 2048, 17004, 1299, 15681, 685, 2663, 538, 519, 1032, 269, 0, 10890, 5399, 12988, 547, 1072, 5399, 454, 29670, 609, 3987, 286, 1215, 476, 274, 3764, 666, 948, 707, 2295, 454, 18907, 476, 3066, 267, 476, 1708, 272, 1765, 2691, 596, 723, 3987, 267, 621, 12651, 707, 1981, 540, 2295, 2068, 543, 15466, 2042, 269, 1924, 4466, 2081, 547, 1628, 2295, 268, 11794, 6208, 883, 707, 1272, 568, 2523, 1271, 269, 1656, 1934, 781, 513, 2241, 835, 602, 666, 1118, 513, 2462, 3017, 281, 14171, 7928, 267, 2110, 9397, 689, 9361, 666, 2965, 2087, 707, 2295, 543, 1973, 6077, 1072, 952, 596, 723, 1826, 476, 273, 3987, 563, 306, 9231, 585, 12675, 5712, 666, 6175, 1973, 2095, 538, 707, 7953, 267, 799, 936, 942, 666, 10413, 707, 9025, 1072, 269, 1809, 538, 513, 1353, 3370, 538, 519, 1977, 4750, 540, 25665, 1700, 29587, 543, 19449, 1529, 2218, 25665, 267, 3173, 1336, 602, 950, 1004, 1705, 1614, 3764, 540, 3635, 1169, 476, 1789, 3764, 267, 1973, 2095, 547, 741, 7953, 4824, 2429, 519, 1554, 269, 1452, 2110, 2534, 28377, 5249, 1256, 1732, 982, 3670, 18826, 7886, 2899, 606, 5662, 563, 1432, 666, 596, 798, 538, 1614, 3764, 286, 2080, 616, 5216, 2653, 2081, 547, 1039, 1614, 18826, 5751, 883, 707, 1554, 693, 1753, 610, 693, 960, 912, 272, 269, 772, 1186, 543, 17498, 269, 1684, 835, 8792, 540, 2695, 1846, 267, 835, 8792, 540, 1850, 3076, 1206, 543, 835, 8792, 540, 28419, 12651, 563, 273, 269, 22547, 543, 19542, 269, 5776, 909, 543, 12701, 707, 3946, 909, 547, 519, 6607, 267, 1694, 1524, 543, 10956, 267, 2921, 2620, 24967, 2429, 563, 274, 269, 9697, 543, 10856, 269, 570, 1601, 513, 11442, 585, 707, 4620, 543, 5198, 873, 547, 4584, 621, 909, 563, 275, 269, 4132, 781, 1404, 269, 16505, 856, 513, 7914, 18052, 267, 1404, 513, 2656, 3014, 540, 5577, 2675, 582, 577, 267, 18178, 1472, 519, 2777, 610, 798, 930, 17259, 795, 2931, 563, 276, 269, 3371, 2501, 519, 3141, 269, 1684, 513, 2656, 10649, 2095, 267, 899, 930, 3141, 2892, 20706, 563, 277, 269, 30557, 5870, 269, 2755, 596, 2811, 593, 519, 6049, 585, 513, 960, 5870, 610, 6158, 547, 513, 3659, 267, 798, 28419, 12651, 267, 3368, 1606, 638, 1846, 267, 6186, 10580, 543, 824, 14980, 7575, 547, 1205, 707, 2295, 23028, 563, 278, 269, 19933, 5428, 269, 9412, 856, 547, 707, 5172, 5152, 585, 1614, 3764, 563, 279, 269, 4728, 532, 6512, 269, 14840, 610, 15292, 538, 1747, 267, 23028, 707, 7916, 547, 2333, 707, 2295, 2557, 563, 763, 1655, 3377, 689, 519, 1353, 568, 602, 596, 1810, 1405, 723, 547, 2196, 513, 2261, 25070, 547, 2087, 707, 9025, 1072, 269, 3807, 513, 1906, 3764, 540, 2534, 693, 513, 942, 2429, 707, 1554, 666, 948, 1832, 707, 2295, 6126, 563, 2690, 811, 4388, 593, 2635, 2713, 609, 3987, 267, 3643, 938, 12128, 1888, 4099, 269, 0, 14722, 723, 3254, 602, 21400, 707, 1426, 5265, 666, 5818, 707, 5023, 12664, 338, 4761, 1062, 547, 2149, 596, 1996, 4576, 563, 763, 1353, 3366, 676, 6887, 693, 634, 2160, 540, 25480, 543, 2817, 23941, 540, 2657, 538, 519, 7330, 267, 7000, 602, 513, 1808, 1826, 540, 4761, 1591, 267, 519, 774, 1704, 1591, 267, 666, 581, 25623, 950, 596, 25261, 563, 763, 4761, 1591, 568, 1271, 538, 7863, 1996, 9190, 543, 16507, 5563, 602, 616, 4122, 1336, 538, 519, 5023, 563, 7212, 621, 814, 1279, 1044, 1634, 602, 519, 5567, 689, 1426, 666, 1489, 513, 2635, 4761, 1062, 519, 4681, 3715, 602, 519, 2962, 540, 4189, 3294, 568, 1271, 1932, 563, 1103, 824, 2694, 540, 519, 1560, 267, 971, 607, 519, 8937, 543, 2960, 267, 774, 1704, 2281, 616, 25623, 676, 519, 4527, 540, 7874, 4551, 282, 621, 729, 5892, 10924, 713, 729, 519, 2013, 538, 519, 5023, 563, 4913, 267, 519, 2319, 1336, 602, 3441, 3361, 676, 519, 23513, 5235, 540, 21400, 13251, 2188, 689, 519, 14779, 602, 1223, 19334, 519, 1482, 11444, 607, 7874, 4551, 543, 957, 2390, 774, 1704, 2281, 563, 4913, 267, 14242, 540, 774, 1704, 2281, 585, 4761, 4027, 666, 581, 513, 5595, 24737, 3022, 18156, 281, 1932, 1082, 774, 1704, 2281, 666, 3565, 547, 1974, 2632, 4345, 7790, 513, 1455, 10733, 2068, 602, 568, 5532, 547, 8374, 538, 6266, 540, 3676, 1519, 3987, 267, 27131, 12263, 267, 2295, 2042, 543, 840, 3856, 4332, 563, 763, 1382, 729, 14102, 676, 519, 645, 7034, 13612, 543, 2817, 4659, 540, 15482, 543, 595, 3757, 1470, 325, 18432, 3194, 538, 519, 2136, 2276, 454, 22117, 11001, 543, 29489, 3220, 11835, 22828, 23951, 30448, 267, 689, 634, 2160, 540, 25480, 267, 1767, 281, 7790, 763, 4761, 1062, 15824, 513, 7415, 13326, 957, 693, 11064, 4609, 971, 607, 519, 2960, 267, 5023, 543, 8937, 676, 8165, 1055, 5739, 13596, 1247, 7109, 908, 519, 4527, 540, 3339, 7874, 4551, 563, 286, 5978, 1382, 2982, 602, 267, 7429, 693, 824, 7496, 267, 519, 5023, 814, 513, 1114, 1259, 540, 18398, 774, 1704, 2281, 281, 711, 676, 4551, 855, 676, 15958, 1709, 269, 4475, 15958, 1709, 666, 16578, 513, 8825, 4761, 3210, 538, 938, 14779, 286, 563, 1103, 519, 4760, 16332, 640, 267, 519, 2319, 1397, 602, 789, 941, 2111, 547, 12954, 4679, 538, 774, 1704, 2281, 538, 8983, 676, 8806, 4657, 519, 21052, 540, 741, 1426, 267, 18445, 602, 15958, 1709, 729, 519, 2565, 3815, 563, 3719, 891, 774, 1704, 2281, 849, 1185, 513, 3983, 2427, 282, 7790, 2171, 941, 849, 2111, 547, 1397, 602, 2799, 3441, 689, 15958, 1709, 1223, 849, 22652, 5642, 2530, 538, 1974, 2632, 4345, 286, 563, 9515, 3773, 281, 7790, 17387, 14688, 267, 1317, 6553, 538, 519, 5023, 568, 5532, 547, 1646, 540, 3676, 782, 1472, 519, 1560, 1620, 519, 5160, 10391, 2188, 602, 10038, 12046, 693, 519, 5711, 11064, 1223, 5555, 1291, 547, 1007, 2081, 547, 1521, 2789, 12982, 2175, 269, 888, 12749, 7849, 10610, 5516, 9669, 585, 6468, 454, 306, 29864, 13982, 32357, 547, 6413 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9498, 2488, 513, 6305, 1383, 540, 519, 6639, 2242, 454, 7474, 3576, 1747, 2429, 519, 476, 3422, 271, 338, 269, 2311, 519, 4098, 540, 602, 8717, 1152, 7344, 454, 663, 1528, 4435, 22817, 26732, 941, 2139, 267, 855, 676, 519, 4098, 540, 519, 476, 3192, 271, 338, 454, 19491, 3055, 26732, 556, 11220, 18678, 543, 3592, 9039, 540, 741, 7344, 543, 454, 19491, 4435, 22817, 11937, 7283, 538, 2504, 6693, 16978, 3055, 30325, 9008, 6726, 2209, 630, 309, 659, 10840, 570, 4209, 2861, 994, 24823, 730, 538, 476, 6942, 279, 267, 519, 13852, 623, 4875, 7577, 540, 772, 343, 8822, 267, 4789, 2676, 10594, 3373, 1031, 547, 5478, 19044, 5309, 2583, 585, 946, 593, 911, 916, 269, 1358, 4129, 1881, 936, 942, 2676, 663, 538, 476, 4198, 277, 789, 3323, 513, 1788, 547, 3132, 513, 5010, 5907, 18376, 454, 20412, 1807, 13798, 523, 3139, 519, 4888, 3951, 288, 563, 763, 1267, 729, 519, 1158, 779, 1101, 5907, 18376, 2780, 267, 799, 729, 5950, 454, 514, 476, 3422, 272, 896, 519, 2012, 1323, 7534, 631, 330, 476, 279, 538, 4789, 543, 1323, 7534, 631, 330, 23446, 538, 18626, 2342, 563, 4322, 6191, 941, 1759, 593, 5111, 476, 10204, 4411, 30932, 12511, 13740, 13745, 454, 5976, 513, 834, 291, 2131, 520, 1258, 257, 8717, 4831, 8546, 543, 834, 19617, 545, 1807, 257, 4159, 270, 785, 545, 1807, 13740, 563, 19950, 5944, 2614, 267, 519, 2012, 4888, 3951, 288, 729, 5497, 1152, 585, 4835, 946, 1282, 519, 454, 31141, 540, 519, 3926, 269, 1717, 267, 713, 1395, 32304, 729, 865, 3824, 11712, 609, 3025, 676, 519, 942, 454, 1492, 9498, 729, 4712, 585, 2504, 602, 519, 2754, 4956, 547, 6529, 609, 621, 269, 901, 15054, 454, 320, 1007, 1966, 267, 1317, 1004, 3323, 547, 2307, 1018, 4888, 3951, 288, 11542, 585, 269, 16828, 267, 519, 2754, 454, 11034, 539, 547, 2161, 602, 621, 729, 606, 27099, 585, 834, 288, 1715, 6184, 17508, 1677, 19098, 257, 630, 528, 454, 27271, 834, 288, 1715, 6184, 17508, 1677, 25226, 257, 1916, 16978, 3055, 30325, 9008, 6726, 2209, 630, 9558, 626, 528, 2861, 994, 2467, 616, 513, 1297, 540, 733, 11367, 585, 519, 2140, 540, 968, 14140, 5010, 454, 718, 20675, 626, 528, 18376, 9498, 3034, 4322, 1331, 519, 2605, 16582, 10566, 268, 9873, 689, 519, 7330, 267, 519, 1744, 17369, 454, 4467, 7065, 11483, 1015, 288, 689, 3567, 267, 543, 519, 594, 10933, 476, 10019, 689, 7977, 267, 782, 540, 799, 941, 4843, 547, 519, 2344, 538, 476, 3422, 275, 563, 10376, 540, 891, 3457, 4547, 1945, 4277, 547, 519, 3349, 269, 1280, 1383, 267, 519, 594, 10933, 476, 10019, 1031, 513, 454, 332, 8568, 4295, 3965, 547, 4558, 519, 9115, 540, 922, 27861, 267, 1247, 519, 2605, 16582, 10566, 268, 9873, 630, 663, 2663, 454, 1492, 10566, 268, 15171, 1107, 607, 3254, 538, 519, 8666, 1657, 1107, 799, 729, 5189, 538, 476, 3422, 276, 543, 3769, 519, 454, 338, 13645, 268, 10174, 1599, 264, 1031, 513, 1507, 30932, 18422, 8546, 547, 4159, 2185, 3515, 540, 2338, 454, 10915, 22162, 519, 9115, 540, 922, 476, 275, 15696, 3563, 10518, 563, 16978, 3055, 30325, 9008, 6726, 2209, 630, 2975, 2861, 994, 2026, 8912, 267, 972, 616, 513, 1297, 540, 733, 11367, 585, 519, 2140, 540, 454, 2108, 14140, 15096, 2861, 18376, 9498, 3034, 2710, 649, 2015, 8097, 30384, 2676, 1721, 1383, 267, 610, 1058, 649, 6615, 6000, 1152, 547, 20749, 5950, 3457, 888, 1103, 519, 2013, 540, 519, 8545, 267, 513, 1434, 1383, 540, 519, 476, 20488, 1131, 581, 519, 1744, 17369, 14847, 476, 2420, 2676, 6518, 729, 4843, 547, 519, 2344, 538, 476, 3422, 279, 563, 2026, 3254, 1657, 267, 713, 1880, 3926, 10268, 2164, 547, 476, 1691, 9704, 540, 6111, 1210, 454, 301, 1460, 773, 13740, 269, 2290, 4277, 2460, 540, 713, 2203, 568, 519, 5679, 984, 4092, 547, 519, 5580, 268, 3847, 454, 1993, 519, 13691, 267, 799, 729, 1031, 547, 1305, 519, 2990, 540, 519, 8918, 1448, 563, 16978, 3055, 7435, 18988, 6726, 2209, 454, 763, 3364, 827, 5907, 2472, 568, 602, 789, 1832, 593, 3478, 4130, 454, 663, 5488, 607, 2029, 10953, 543, 621, 3587, 2009, 547, 25837, 811, 27820, 883, 606, 454, 15759, 3603, 5547, 269, 4935, 267, 621, 7012, 1406, 1279, 1354, 1004, 3323, 547, 1589, 602, 18376, 13355, 454, 20412, 2209, 941, 513, 512, 611, 593, 519, 1804, 2450, 543, 602, 621, 1131, 581, 795, 14709, 13561, 547, 723, 454, 31138, 602, 1131, 3514, 538, 519, 13869, 540, 835, 779, 1688, 610, 1107, 546, 732, 835, 2161, 621, 286, 1107, 538, 835, 779, 17927, 563, 1103, 476, 3422, 280, 267, 1744, 17369, 5189, 513, 1507, 18376, 9498, 1572, 519, 1627, 307, 279, 5937, 602, 2838, 1152, 454, 27917, 7471, 11387, 269, 589, 2370, 2663, 267, 538, 2038, 476, 3192, 271, 267, 789, 8719, 519, 8028, 1379, 454, 15251, 540, 713, 3926, 609, 22507, 762, 9075, 269, 634, 1267, 729, 519, 1101, 6007, 14617, 454, 257, 8518, 13463, 671, 257, 9498, 630, 520, 513, 19756, 476, 276, 269, 273, 6279, 2647, 676, 476, 280, 269, 277, 6279, 7381, 543, 476, 273, 269, 4037, 6279, 5394, 2676, 527, 729, 1259, 1932, 1804, 547, 3514, 538, 513, 17927, 1107, 8259, 596, 5949, 547, 723, 30891, 3585, 454, 26171, 22836, 1070, 799, 729, 3957, 519, 1744, 17369, 1627, 307, 279, 5174, 563, 16978, 3055, 623, 12714, 6726, 2209, 454, 763, 1101, 8097, 2203, 540, 606, 5907, 17927, 9498, 24121, 4385, 607, 519, 968, 9773, 27700, 892, 1788, 1107, 729, 2813, 676, 7147, 29698, 630, 2316, 264, 538, 476, 3422, 277, 1496, 10472, 3684, 568, 1631, 454, 26078, 5703, 693, 519, 2817, 7467, 540, 1977, 3778, 630, 320, 851, 540, 519, 28834, 26323, 264, 538, 6115, 267, 9823, 267, 7330, 14073, 1607, 729, 4553, 2235, 320, 476, 3192, 271, 676, 519, 1101, 20749, 2139, 1770, 282, 513, 15409, 630, 8518, 4371, 994, 2745, 532, 9498, 1572, 519, 623, 12714, 3055, 269, 23095, 607, 513, 4745, 4674, 676, 7147, 29698, 543, 2052, 12061, 2676, 10472, 2185, 1922, 4233, 3926, 1223, 1039, 267, 10208, 267, 9062, 267, 543, 7941, 563, 7212, 519, 623, 12714, 3055, 568, 1362, 539, 607, 513, 968, 335, 12714, 9498, 892, 676, 1082, 267, 596, 1131, 723, 2838, 513, 454, 338, 691, 3645, 10571, 2631, 609, 9660, 23242, 16136, 1242, 22836, 547, 13918, 922, 476, 275, 20878, 8700, 2676, 279, 269, 273, 20878, 3259, 267, 543, 476, 272, 269, 280, 20878, 11098, 563, 1103, 1249, 267, 519, 8956, 540, 519, 1101, 3926, 602, 1223, 5963, 581, 1572, 834, 320, 17927, 9498, 257, 630, 23719, 454, 331, 2795, 532, 264, 4422, 547, 519, 22084, 545, 558, 19845, 268, 6344, 288, 834, 8518, 344, 257, 689, 3567, 267, 799, 7902, 593, 519, 6429, 28069, 1472, 454, 17218, 476, 3192, 271, 543, 2038, 476, 3192, 272, 269, 769, 1840, 547, 1373, 519, 1101, 3020, 17927, 9498, 454, 263, 527, 729, 1152, 476, 273, 269, 277, 6279, 2647, 676, 476, 275, 269, 280, 6279, 7381, 543, 476, 271, 269, 280, 6279, 538, 11098, 1070, 713, 2370, 454, 337, 26696, 849, 6585, 519, 8956, 540, 1373, 519, 1101, 9498, 547, 4159, 2418, 1210, 513, 454, 2775, 15041, 9231, 26534, 630, 29612, 264, 4159, 543, 519, 1101, 1688, 13463, 671, 9498, 547, 4183, 513, 2582, 454, 2108, 20412, 1807, 6823, 8584, 7302, 760, 892, 7471, 5547, 269, 8074, 602, 713, 15096, 267, 799, 729, 14475, 676, 631, 454, 739, 2131, 267, 729, 513, 2027, 26928, 267, 9498, 10391, 3926, 282, 602, 568, 267, 713, 5057, 729, 711, 513, 454, 2102, 1968, 26928, 7384, 2599, 607, 5189, 538, 519, 12130, 1886, 549, 19485, 5717, 2630, 1916, 288, 2370, 2663, 267, 22084, 545, 558, 5189, 741, 19845, 268, 6344, 306, 2203, 538, 476, 3192, 272, 267, 799, 729, 513, 5594, 14949, 454, 11437, 540, 519, 19845, 268, 6344, 288, 563, 763, 1570, 4843, 1934, 729, 7493, 539, 543, 27772, 689, 454, 763, 3778, 540, 6726, 2209, 267, 23675, 267, 543, 4033, 853, 4428, 454, 323, 17805, 3177, 593, 519, 7131, 268, 15375, 18913, 454, 712, 1433, 1215, 23675, 1684, 4569, 0, 288, 7353, 4919, 3778, 540, 6555, 529, 18319, 454, 2691, 513, 1268, 19528, 6555, 529, 18319, 267, 513, 12667, 4605, 2501, 547, 2247, 281, 513, 22125, 19458, 269, 4934, 593, 519, 8265, 267, 513, 26570, 540, 3649, 637, 6067, 1115, 596, 538, 7833, 14784, 269, 1280, 26776, 688, 1375, 6840, 543, 6300, 5411, 267, 972, 568, 513, 1318, 3902, 585, 3388, 269, 1280, 5481, 267, 713, 814, 1044, 519, 1915, 540, 6555, 529, 18319, 563, 19667, 529, 18319, 568, 513, 5053, 2262, 602, 1797, 6498, 610, 7941, 269, 898, 18795, 593, 519, 8473, 1063, 570, 32121, 543, 23642, 32121, 269, 769, 519, 1739, 6337, 267, 649, 1294, 519, 7004, 540, 519, 8664, 998, 519, 1296, 563, 307, 583, 889, 534, 6555, 529, 18319, 267, 476, 6642, 271, 338, 454, 13349, 12563, 1031, 547, 5397, 1286, 629, 7776, 1790, 592, 1194, 7047, 338, 950, 2469, 547, 6555, 529, 18319, 269, 8409, 609, 1797, 10519, 1608, 525, 553, 267, 799, 941, 519, 3454, 529, 693, 519, 942, 563, 19667, 529, 18319, 10369, 267, 476, 5002, 273, 454, 2691, 519, 4892, 32519, 519, 13372, 267, 1851, 741, 1101, 3785, 729, 519, 22058, 566, 540, 6555, 529, 18319, 10369, 269, 14716, 3459, 538, 476, 5002, 272, 543, 8737, 519, 1739, 1032, 269, 898, 6743, 899, 9343, 540, 27763, 16292, 17346, 563, 19667, 529, 18319, 10369, 267, 476, 4572, 271, 338, 454, 301, 5847, 1454, 4957, 1063, 476, 5002, 273, 543, 476, 4572, 271, 538, 6555, 529, 18319, 269, 769, 519, 3845, 267, 596, 666, 1294, 519, 1101, 5201, 18635, 8704, 538, 2494, 10042, 563, 19667, 529, 18319, 538, 519, 476, 4350, 271, 338, 543, 10558, 4303, 454, 3528, 519, 476, 4350, 271, 338, 267, 519, 25610, 1472, 6555, 529, 18319, 729, 607, 11112, 607, 621, 568, 2221, 269, 5502, 540, 6517, 267, 1608, 525, 553, 543, 737, 541, 527, 976, 1500, 909, 519, 6808, 2059, 519, 8265, 2469, 883, 6555, 529, 18319, 563, 19667, 529, 18319, 10369, 267, 476, 4350, 271, 454, 1103, 713, 8666, 540, 6555, 529, 18319, 10369, 267, 596, 1294, 4191, 540, 2872, 602, 814, 6603, 27000, 24528, 269, 589, 1286, 543, 513, 14903, 616, 6288, 539, 22290, 519, 2344, 7258, 513, 1286, 629, 7776, 7047, 543, 513, 7008, 540, 1608, 525, 553, 269, 5487, 11272, 16695, 267, 519, 1101, 5201, 2754, 538, 519, 2197, 267, 814, 8704, 5201, 18635, 2059, 519, 8265, 563, 19667, 529, 18319, 2494, 10042, 9335, 26657, 267, 4728, 476, 3707, 276, 454, 19667, 529, 18319, 729, 9939, 1176, 838, 1563, 538, 519, 10514, 902, 1282, 2622, 2782, 4083, 269, 769, 713, 6429, 267, 1977, 543, 27208, 6300, 11825, 616, 2938, 6972, 1472, 6555, 529, 18319, 779, 13897, 4155, 269, 2201, 519, 1318, 616, 8075, 540, 4457, 1870, 5443, 267, 799, 849, 23060, 607, 8637, 269, 6555, 529, 18319, 10369, 568, 519, 2497, 602, 568, 14356, 2938, 593, 519, 2451, 540, 519, 8666, 563, 19667, 529, 18319, 10369, 267, 476, 4198, 271, 338, 454, 293, 604, 1399, 1296, 1310, 519, 6555, 529, 18319, 10369, 729, 22058, 730, 676, 519, 4892, 267, 713, 729, 875, 621, 6743, 269, 634, 2679, 568, 8920, 777, 573, 730, 609, 15309, 593, 519, 8122, 563, 288, 811, 5432, 6555, 529, 18319, 568, 2938, 538, 713, 8666, 689, 519, 476, 3192, 271, 338, 269, 8614, 10134, 543, 21772, 4584, 909, 543, 796, 2903, 2344, 2998, 619, 2429, 519, 1554, 269, 0, 290, 2753, 7126, 26064, 595, 269, 29464, 20182, 5589, 8712, 3571, 7797, 593, 519, 25512, 532, 540, 27257, 779, 590, 4869, 7570, 9335, 23837, 5783, 538, 476, 3422, 274, 454, 16829, 676, 717, 843, 518, 2274, 15590, 2006, 16065, 593, 13628, 267, 476, 6021, 270, 736, 270, 1001, 279, 454, 9617, 2947, 2395, 1310, 519, 26645, 540, 519, 590, 4869, 7570, 9335, 23837, 5783, 538, 27257, 267, 17665, 593, 5181, 476, 1428, 267, 476, 3422, 274, 267, 1234, 3164, 526, 595, 269, 29464, 20182, 5206, 513, 1867, 593, 27257, 538, 519, 1106, 540, 513, 4484, 267, 6933, 730, 18487, 593, 15773, 540, 519, 3955, 4211, 527, 714, 839, 9730, 267, 538, 799, 646, 13006, 519, 5208, 602, 729, 10438, 519, 2749, 563, 763, 717, 843, 518, 2274, 15590, 2006, 14635, 5063, 9715, 606, 3312, 5299, 540, 1234, 3164, 526, 20182, 779, 4484, 269, 1234, 3164, 526, 20182, 267, 945, 1631, 2729, 538, 27201, 267, 24963, 8815, 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 ]
[ 547, 1831, 606, 9868, 547, 623, 2967, 2725, 328, 779, 3023, 1143, 543, 547, 519, 6848, 4441, 6719, 538, 519, 8254, 779, 22401, 267, 855, 1352, 814, 711, 23012, 689, 6848, 17760, 29713, 3294, 269, 769, 1249, 267, 1200, 2866, 2847, 9407, 1472, 11815, 2305, 689, 513, 812, 630, 303, 2967, 2725, 328, 264, 543, 6038, 1705, 4986, 547, 16355, 557, 1010, 3023, 626, 1523, 687, 267, 1152, 1459, 519, 5696, 728, 607, 513, 968, 571, 516, 892, 2013, 538, 799, 513, 4807, 666, 581, 3532, 269, 769, 713, 1259, 267, 519, 4670, 5170, 547, 2099, 519, 5696, 728, 607, 606, 4033, 267, 835, 945, 568, 711, 1863, 689, 6848, 1523, 687, 827, 4807, 3125, 855, 945, 568, 3274, 513, 4686, 32623, 1674, 593, 6382, 268, 20777, 4441, 540, 1065, 1833, 269, 4475, 267, 1352, 568, 711, 519, 17122, 1448, 540, 1200, 1378, 7115, 267, 607, 1546, 2142, 879, 341, 7546, 1131, 12167, 267, 855, 568, 3079, 20665, 4807, 1869, 3989, 676, 1200, 6935, 689, 2367, 563, 11101, 267, 632, 2142, 879, 341, 7546, 5267, 602, 267, 1256, 952, 513, 4807, 952, 3532, 267, 1352, 1869, 6818, 607, 606, 4033, 547, 2367, 952, 1352, 5170, 547, 2291, 1152, 538, 3210, 547, 873, 912, 14549, 640, 568, 5256, 267, 543, 812, 11225, 4807, 267, 711, 538, 9887, 267, 855, 538, 6935, 547, 5128, 282, 1352, 568, 711, 2808, 606, 14628, 1373, 2507, 9917, 568, 5462, 543, 21630, 538, 6935, 547, 812, 267, 1247, 646, 568, 711, 538, 6935, 547, 1200, 282, 1352, 568, 519, 538, 24207, 538, 4395, 540, 519, 1898, 269, 630, 5719, 2142, 879, 341, 7546, 476, 277, 994, 763, 2470, 540, 4807, 3125, 267, 1546, 2142, 879, 341, 7546, 6941, 267, 814, 1044, 3989, 7357, 538, 6935, 543, 11685, 547, 2367, 267, 865, 2021, 3112, 3035, 1022, 1483, 2631, 540, 20106, 269, 5015, 267, 952, 513, 4807, 779, 1373, 568, 3989, 538, 6935, 547, 2367, 267, 2864, 982, 689, 1200, 1378, 1582, 29705, 9179, 267, 1352, 1869, 3788, 29802, 607, 606, 4033, 269, 23703, 9291, 15824, 713, 1360, 4990, 540, 4033, 532, 998, 922, 18572, 540, 519, 5696, 728, 779, 8665, 633, 2623, 267, 25194, 1200, 26841, 607, 711, 513, 9243, 267, 1582, 29931, 730, 2631, 540, 1379, 267, 855, 2864, 606, 3261, 730, 968, 5733, 1529, 710, 892, 1379, 269, 634, 1880, 6073, 538, 799, 519, 4670, 14604, 519, 5696, 728, 779, 2962, 5170, 547, 5031, 1200, 4033, 1145, 269, 10801, 519, 4670, 267, 307, 5875, 3626, 1193, 1161, 547, 3715, 519, 5696, 728, 779, 2631, 540, 8116, 543, 2962, 607, 1016, 951, 633, 540, 2757, 4638, 5107, 538, 2962, 8874, 269, 634, 4670, 14405, 1808, 3007, 547, 519, 1249, 602, 519, 5696, 728, 568, 12561, 519, 2853, 12926, 11603, 585, 2367, 563, 15987, 972, 568, 2370, 1463, 2446, 540, 519, 8966, 2298, 540, 519, 5696, 728, 779, 8116, 267, 519, 4670, 779, 22401, 1568, 547, 11168, 519, 693, 2988, 673, 267, 3261, 894, 2470, 540, 1200, 2962, 269, 3245, 519, 1360, 1101, 2962, 6429, 538, 23703, 9291, 281, 11730, 2290, 267, 538, 799, 519, 5696, 728, 22851, 538, 22266, 8396, 609, 31996, 7534, 5682, 267, 519, 4670, 5705, 569, 8711, 922, 3017, 689, 2757, 2962, 8874, 267, 2760, 17528, 547, 7618, 519, 5304, 602, 519, 5696, 728, 568, 513, 4807, 538, 513, 1909, 540, 2962, 269, 13536, 267, 538, 519, 6172, 12519, 6429, 540, 11730, 2290, 267, 519, 5696, 728, 568, 21039, 538, 513, 5835, 26357, 3726, 602, 17188, 4630, 720, 547, 519, 28076, 12816, 676, 19831, 6575, 12835, 23745, 10557, 538, 10794, 540, 12280, 630, 3192, 273, 1070, 607, 952, 547, 2721, 519, 21951, 779, 3007, 547, 519, 1249, 602, 519, 5696, 728, 568, 711, 23745, 10557, 267, 568, 711, 513, 812, 267, 855, 568, 513, 4807, 269, 4014, 519, 4670, 1526, 745, 525, 922, 6881, 540, 519, 5696, 728, 607, 513, 5391, 518, 908, 9552, 540, 4008, 8155, 267, 713, 6881, 267, 538, 4641, 267, 1152, 2417, 25040, 1346, 4008, 5107, 269, 634, 1249, 602, 519, 5696, 728, 568, 865, 7920, 569, 20922, 607, 606, 9868, 6786, 602, 1352, 814, 711, 1793, 5792, 1863, 540, 26568, 4008, 5107, 267, 855, 814, 3274, 17479, 9887, 607, 513, 4686, 32623, 1674, 12544, 4807, 945, 6411, 607, 513, 812, 968, 29019, 1848, 9182, 267, 2370, 568, 5963, 2944, 547, 2901, 5391, 4733, 519, 5696, 728, 610, 4412, 821, 19802, 585, 2021, 607, 513, 2898, 281, 519, 3844, 4807, 538, 519, 4670, 568, 29600, 1152, 538, 11685, 267, 4033, 1145, 267, 1996, 2367, 269, 11569, 267, 607, 1234, 11035, 13187, 267, 968, 298, 650, 9291, 568, 513, 9066, 593, 519, 1016, 951, 633, 2470, 540, 513, 4807, 779, 3261, 566, 540, 5256, 24123, 3741, 892, 630, 3725, 11035, 476, 2764, 1040, 769, 1200, 8665, 633, 2623, 267, 519, 5696, 728, 568, 711, 29600, 607, 10747, 9887, 689, 1369, 267, 2870, 543, 11589, 1200, 1378, 2623, 543, 8155, 269, 5502, 267, 1352, 568, 3274, 2921, 593, 5615, 602, 519, 8254, 11225, 607, 3982, 569, 24940, 269, 4475, 267, 538, 519, 2796, 540, 1546, 2142, 879, 341, 7546, 779, 1523, 540, 519, 4033, 267, 621, 568, 2312, 602, 519, 5696, 728, 814, 711, 5963, 1044, 5391, 23306, 689, 519, 6848, 1065, 1833, 602, 25907, 782, 2021, 269, 24641, 513, 5391, 23306, 4807, 1131, 2721, 1369, 9887, 547, 5581, 513, 2189, 2631, 540, 8116, 267, 519, 5696, 728, 779, 8116, 568, 3989, 676, 519, 8254, 779, 22401, 607, 1373, 3274, 519, 8116, 540, 513, 812, 15810, 5196, 519, 4137, 540, 606, 909, 11034, 267, 9402, 4807, 269, 769, 713, 1259, 267, 1352, 5170, 547, 2291, 1152, 538, 1200, 6935, 547, 2367, 267, 543, 3788, 16290, 676, 24940, 6848, 8155, 563, 1103, 5758, 267, 1247, 23703, 9291, 29102, 3294, 607, 513, 19506, 2962, 4670, 602, 27581, 5391, 518, 919, 922, 4775, 3197, 543, 5304, 267, 519, 4670, 1152, 25040, 519, 6848, 3889, 602, 15972, 2021, 269, 2311, 1169, 1377, 540, 922, 6228, 267, 519, 4670, 6411, 14669, 547, 519, 4441, 540, 19802, 6700, 676, 3244, 821, 1546, 2142, 879, 341, 7546, 538, 634, 5822, 11557, 269, 2201, 513, 1016, 3667, 783, 1377, 267, 621, 3651, 338, 17062, 29925, 547, 519, 6211, 1184, 540, 3993, 3125, 543, 3096, 3993, 3125, 547, 5581, 519, 18144, 540, 922, 4775, 3197, 543, 922, 4729, 2497, 269, 2201, 513, 21849, 1377, 267, 922, 7368, 8561, 593, 519, 5696, 728, 779, 2168, 5898, 8711, 1200, 607, 606, 1843, 547, 581, 10099, 880, 1242, 676, 2367, 543, 5267, 606, 7681, 1063, 1200, 5898, 543, 1200, 4835, 1915, 269, 7053, 267, 593, 513, 1558, 622, 868, 783, 1377, 267, 922, 829, 13367, 566, 593, 519, 5696, 728, 607, 606, 11108, 4775, 5869, 11423, 513, 24940, 1909, 5713, 547, 5581, 1200, 607, 606, 4033, 945, 6818, 1152, 538, 1200, 6935, 547, 2367, 267, 711, 676, 1200, 1378, 11063, 610, 8116, 269, 1280, 782, 922, 8942, 547, 2303, 513, 5391, 23306, 4807, 267, 23703, 9291, 6038, 14543, 693, 6721, 971, 513, 5075, 2094, 621, 568, 24835, 762, 540, 32682, 1424, 922, 4775, 16502, 689, 519, 17062, 4441, 13684, 593, 1200, 1560, 543, 689, 519, 1582, 12413, 6873, 540, 4033, 602, 2367, 20818, 2390, 1200, 269, 634, 17418, 540, 519, 4670, 547, 3035, 4775, 19802, 14753, 547, 519, 13766, 585, 2104, 8874, 547, 7406, 741, 4775, 3197, 538, 513, 6626, 2796, 269, 15742, 569, 267, 711, 1169, 4670, 568, 2838, 547, 4159, 513, 5075, 540, 513, 4628, 5391, 23306, 4807, 269, 1717, 267, 952, 513, 4670, 1281, 3801, 4775, 19802, 267, 17697, 569, 610, 711, 267, 621, 1590, 798, 865, 538, 513, 1259, 602, 20964, 4807, 607, 513, 1797, 547, 9887, 267, 607, 513, 4628, 4830, 4137, 945, 568, 1863, 547, 2291, 607, 1200, 1378, 1373, 269, 0, 1103, 1034, 2665, 267, 519, 2707, 540, 8116, 568, 6392, 540, 606, 8665, 6508, 689, 519, 6876, 540, 519, 6105, 267, 602, 568, 267, 513, 24845, 6876, 1063, 513, 9030, 543, 606, 8665, 269, 18766, 689, 713, 8912, 2707, 267, 8116, 2078, 1223, 32338, 622, 689, 519, 5106, 540, 519, 1876, 267, 602, 568, 267, 8116, 6392, 568, 6508, 689, 519, 1876, 3294, 269, 9182, 267, 519, 9844, 540, 519, 9030, 814, 1100, 1909, 538, 2870, 519, 8116, 2078, 543, 8754, 621, 568, 3564, 519, 9030, 781, 9844, 602, 8665, 1107, 9030, 2078, 2501, 883, 6228, 563, 1607, 2356, 4523, 1141, 513, 1268, 547, 581, 6719, 568, 711, 538, 513, 8914, 547, 6966, 1010, 8665, 585, 835, 3364, 610, 1776, 269, 5047, 267, 621, 568, 1813, 547, 519, 13766, 547, 16102, 519, 1719, 540, 519, 1268, 547, 581, 6719, 269, 4329, 267, 8116, 568, 2813, 676, 5106, 540, 519, 1876, 267, 607, 10353, 547, 8116, 2813, 607, 513, 1267, 540, 6876, 540, 519, 9030, 543, 8665, 282, 972, 568, 2907, 513, 2582, 4579, 267, 602, 568, 267, 513, 4579, 799, 568, 11943, 676, 519, 11347, 267, 593, 15773, 540, 519, 835, 6719, 267, 609, 519, 3791, 5428, 269, 9747, 267, 519, 4835, 2078, 1063, 519, 11347, 543, 519, 6719, 267, 538, 713, 2013, 267, 568, 3656, 543, 711, 4579, 783, 2094, 621, 568, 2813, 676, 519, 5106, 547, 519, 1876, 563, 1103, 19220, 540, 519, 3656, 6935, 2813, 1063, 519, 11347, 543, 519, 6719, 267, 519, 2924, 543, 11645, 16109, 972, 689, 616, 18170, 676, 519, 11865, 17640, 547, 8116, 4579, 2899, 519, 1876, 814, 3964, 519, 6935, 269, 0, 5278, 3889, 267, 13210, 267, 543, 14172, 14828, 616, 3957, 1310, 772, 2529, 269, 27504, 547, 3136, 741, 23543, 610, 4196, 607, 513, 8628, 1121, 27320, 540, 519, 3401, 269, 16270, 10478, 585, 519, 4102, 16232, 18189, 338, 538, 519, 772, 2529, 1421, 1934, 568, 1018, 649, 1336, 856, 912, 8368, 540, 12937, 454, 268, 5811, 538, 2474, 540, 1858, 454, 268, 2475, 3465, 6342, 609, 519, 4102, 18189, 338, 454, 268, 16511, 725, 540, 519, 4102, 2475, 30814, 17341, 338, 454, 268, 23778, 5006, 3710, 16232, 18189, 338, 454, 268, 4107, 10272, 16232, 18189, 338, 454, 268, 717, 1478, 940, 1560, 454, 26046, 769, 16301, 540, 9351, 454, 16248, 856, 540, 476, 1839, 772, 2529, 269, 16232, 18189, 338, 616, 936, 476, 1911, 271, 14143, 269, 12448, 12722, 779, 634, 19555, 5146, 18795, 593, 519, 3791, 5544, 609, 476, 12208, 271, 14143, 282, 6778, 27538, 3467, 2817, 17341, 16034, 2034, 4102, 609, 476, 14096, 279, 14143, 267, 543, 10370, 526, 517, 645, 269, 9652, 2817, 8466, 5244, 16125, 519, 1283, 5544, 609, 476, 14991, 272, 14143, 563, 4002, 519, 8772, 547, 18749, 5544, 616, 476, 8517, 268, 4335, 23505, 16232, 18189, 338, 281, 5851, 540, 15284, 667, 269, 17619, 2817, 19866, 13505, 267, 10370, 526, 517, 645, 269, 9652, 3557, 5244, 543, 19866, 13505, 267, 29276, 327, 1077, 2817, 19866, 13505, 267, 543, 6723, 6115, 779, 6778, 31996, 517, 563, 305, 1678, 539, 21632, 547, 476, 1724, 628, 616, 772, 2529, 269, 16232, 18189, 338, 936, 476, 1911, 14143, 547, 476, 12573, 14143, 269, 898, 2882, 14062, 12493, 17510, 2897, 2817, 8466, 5244, 609, 476, 30306, 269, 2004, 14143, 543, 519, 31835, 22071, 6723, 17312, 4741, 585, 11106, 593, 519, 476, 280, 628, 5544, 609, 476, 28670, 14143, 269, 634, 1034, 2442, 18189, 6131, 547, 5518, 6115, 568, 849, 538, 713, 1895, 1107, 519, 476, 11793, 14092, 516, 6115, 31790, 269, 898, 568, 849, 519, 1158, 779, 32399, 1073, 601, 7416, 267, 607, 4080, 676, 9504, 563, 763, 2063, 1895, 2882, 16232, 18189, 338, 2630, 476, 1911, 14143, 267, 13941, 593, 519, 476, 1691, 628, 547, 519, 476, 1839, 628, 5544, 269, 2334, 779, 476, 1321, 856, 540, 476, 1839, 18189, 338, 2630, 476, 1911, 14143, 267, 855, 602, 568, 1869, 5458, 269, 2368, 540, 873, 1331, 31187, 17619, 6816, 538, 6115, 667, 5861, 269, 630, 6434, 269, 2004, 14143, 1070, 10370, 526, 517, 645, 269, 9652, 30814, 7732, 543, 7467, 538, 7147, 630, 1691, 14143, 1070, 543, 16452, 590, 269, 32457, 2817, 19866, 13505, 538, 16713, 630, 1015, 269, 5392, 14143, 1040, 769, 1840, 267, 519, 15284, 5548, 8457, 17619, 17341, 538, 6115, 667, 5861, 269, 4991, 519, 2063, 5544, 540, 519, 1283, 476, 1839, 609, 476, 278, 269, 2004, 14143, 563, 4785, 3465, 6342, 609, 519, 700, 17999, 17341, 338, 454, 26668, 856, 540, 476, 1839, 540, 519, 1034, 7986, 16232, 18189, 338, 593, 938, 1592, 616, 6131, 547, 10370, 526, 517, 645, 269, 9652, 267, 519, 476, 3607, 628, 5518, 540, 519, 2136, 2276, 269, 5565, 616, 3957, 1310 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 9223, 281, 6904, 2197, 568, 536, 23912, 676, 25591, 543, 5487, 657, 547, 519, 7178, 543, 3624, 547, 519, 5087, 888, 12585, 281, 669, 343, 327, 322, 333, 642, 28126, 0, 9223, 281, 808, 344, 582, 328, 2549, 613, 267, 606, 4095, 8004, 267, 568, 519, 1158, 781, 10545, 4807, 269, 2701, 568, 1152, 476, 271, 269, 277, 2764, 15432, 7381, 269, 2701, 568, 1507, 267, 855, 1200, 5326, 568, 1390, 269, 2201, 1200, 476, 1240, 628, 14512, 538, 476, 1001, 273, 267, 1352, 3838, 519, 1434, 3377, 609, 1866, 269, 2701, 1131, 957, 538, 1079, 9413, 269, 808, 344, 582, 328, 568, 519, 21836, 540, 519, 2947, 1453, 538, 1200, 1920, 269, 2701, 11074, 3395, 1310, 1200, 1101, 14512, 269, 5221, 540, 1200, 2450, 267, 808, 344, 582, 328, 814, 2027, 9660, 543, 9925, 749, 2044, 1547, 2701, 1256, 814, 1200, 1378, 11380, 543, 11381, 538, 513, 2834, 1153, 269, 808, 344, 582, 328, 849, 14560, 9413, 543, 6752, 762, 32293, 899, 1866, 269, 6969, 476, 1240, 267, 1352, 19500, 538, 513, 2575, 3381, 2059, 609, 513, 4583, 4095, 22256, 269, 808, 344, 582, 328, 1767, 267, 834, 296, 6415, 1175, 519, 1482, 607, 824, 1004, 269, 594, 3548, 899, 596, 267, 543, 5326, 899, 596, 269, 594, 1810, 1405, 1745, 594, 993, 1114, 1701, 1215, 1082, 19946, 543, 14552, 1281, 1352, 723, 888, 288, 269, 476, 274, 454, 289, 269, 476, 275, 454, 290, 269, 476, 277, 454, 291, 269, 649, 1810, 1405, 917, 454, 12585, 281, 645, 0, 9223, 281, 15207, 17329, 547, 1404, 3756, 543, 1404, 5026, 855, 811, 982, 4376, 646, 17329, 547, 2445, 1919, 269, 1261, 6394, 11480, 11503, 269, 1261, 6394, 4262, 16115, 269, 1261, 6394, 13836, 6486, 269, 1261, 814, 6394, 13836, 6486, 519, 13074, 269, 1261, 15055, 547, 2445, 519, 3364, 602, 646, 814, 6394, 519, 13074, 519, 1034, 269, 1261, 2899, 2219, 827, 10655, 22827, 855, 2760, 1705, 269, 3571, 1034, 7199, 4015, 729, 711, 1010, 5172, 4015, 269, 15207, 6170, 519, 1034, 2724, 593, 1010, 11480, 1698, 4015, 269, 15207, 17329, 547, 798, 799, 540, 891, 1919, 519, 1034, 888, 288, 269, 7591, 3756, 454, 289, 269, 7591, 5026, 454, 290, 269, 11814, 1919, 454, 291, 269, 11814, 22827, 454, 12585, 281, 595, 0, 9223, 281, 589, 5467, 689, 8478, 5063, 5206, 547, 721, 6998, 585, 930, 5796, 269, 1261, 781, 4058, 513, 7552, 547, 519, 2136, 2276, 267, 543, 4941, 547, 917, 827, 519, 1655, 4025, 547, 2951, 538, 3013, 269, 4653, 267, 649, 616, 2469, 547, 2285, 596, 930, 1344, 799, 949, 948, 596, 950, 7446, 707, 10278, 269, 3962, 540, 519, 476, 2004, 2829, 538, 3013, 814, 4277, 1919, 547, 2709, 8436, 267, 855, 930, 616, 811, 2442, 982, 1866, 269, 6115, 267, 667, 5861, 269, 568, 4583, 585, 922, 3140, 4025, 267, 899, 519, 6519, 5600, 543, 519, 12493, 17341, 269, 6250, 6002, 547, 11968, 13353, 267, 4993, 666, 1294, 519, 21035, 12532, 540, 674, 877, 610, 6300, 519, 8637, 593, 681, 1712, 334, 20000, 1141, 789, 949, 1294, 513, 5182, 610, 1079, 269, 634, 9835, 24258, 538, 14151, 22587, 547, 554, 1731, 619, 267, 6172, 1499, 543, 2470, 18798, 267, 607, 1281, 31803, 2817, 5244, 538, 29131, 269, 25676, 3849, 6665, 528, 568, 513, 3896, 1141, 1004, 666, 2328, 8039, 827, 741, 2951, 2833, 269, 5272, 1032, 267, 25676, 3849, 6665, 528, 2306, 513, 1592, 540, 519, 1283, 476, 1839, 4872, 547, 3643, 538, 519, 2136, 2276, 269, 634, 2164, 616, 1759, 593, 519, 8369, 540, 8436, 547, 519, 3896, 269, 7935, 5803, 674, 7967, 14369, 1731, 540, 25676, 3849, 6665, 528, 1767, 519, 1283, 26717, 593, 519, 1592, 941, 711, 9670, 269, 1656, 621, 781, 1100, 5728, 1946, 1715, 3840, 4975, 729, 3957, 519, 1297, 835, 10278, 269, 1715, 3840, 4975, 568, 3006, 1572, 834, 1492, 2749, 602, 2760, 3207, 338, 257, 1317, 621, 666, 581, 1360, 11112, 269, 898, 568, 606, 3078, 1747, 585, 1082, 1004, 1317, 972, 568, 865, 1454, 547, 798, 269, 1809, 519, 2749, 1522, 581, 1932, 11112, 585, 17631, 3168, 585, 1964, 543, 9350, 269, 1358, 1522, 1616, 1945, 811, 899, 3733, 337, 1479, 16047, 267, 538, 519, 1533, 540, 3162, 10491, 267, 799, 1500, 621, 547, 1297, 476, 2641, 593, 25676, 20180, 528, 781, 1592, 269, 834, 288, 2603, 540, 1004, 2097, 547, 3733, 337, 1479, 16047, 585, 1390, 4365, 267, 621, 781, 513, 8748, 1920, 16314, 5544, 267, 519, 17822, 910, 3893, 519, 8748, 9533, 17822, 972, 910, 972, 781, 513, 2603, 540, 1920, 7888, 11614, 543, 1216, 11614, 1701, 3509, 1004, 1491, 942, 1055, 689, 741, 6009, 538, 519, 4832, 547, 2951, 269, 5221, 972, 616, 1082, 14666, 9683, 824, 4025, 267, 4873, 2394, 4864, 568, 1634, 607, 834, 14683, 4005, 1701, 13488, 532, 1282, 519, 1164, 4005, 666, 581, 22125, 269, 12182, 1564, 267, 14060, 267, 543, 6283, 1522, 849, 581, 1360, 7199, 269, 1403, 596, 1616, 547, 4688, 2724, 593, 513, 7552, 267, 621, 568, 513, 1434, 2856, 547, 1544, 547, 4734, 1354, 610, 1310, 519, 4832, 3275, 269, 1452, 2053, 616, 1634, 607, 834, 29019, 518, 12405, 257, 585, 2951, 269, 834, 2252, 596, 2811, 3168, 585, 1871, 267, 2119, 543, 1589, 827, 10707, 998, 519, 13105, 4005, 952, 621, 781, 2009, 910, 519, 13105, 4005, 1373, 519, 2887, 610, 519, 5614, 269, 634, 4365, 568, 1869, 1360, 1434, 538, 930, 540, 891, 18353, 267, 543, 596, 666, 1205, 1732, 5777, 1701, 3013, 781, 2101, 4872, 616, 1869, 519, 1034, 2442, 18353, 585, 8436, 269, 674, 7967, 14369, 1731, 3081, 713, 568, 1317, 540, 519, 1434, 2298, 540, 2533, 789, 1683, 14666, 269, 834, 5445, 798, 513, 1390, 2816, 540, 4758, 17631, 1018, 789, 1616, 950, 789, 2811, 593, 16314, 269, 594, 1589, 789, 2186, 540, 8597, 547, 1169, 1826, 540, 2951, 518, 991, 269, 1924, 2436, 596, 2811, 10707, 4805, 267, 596, 2811, 10707, 585, 1870, 267, 596, 2811, 10707, 609, 707, 1920, 910, 8726, 621, 568, 267, 1346, 18353, 616, 2731, 22934, 538, 547, 12419, 5863, 2833, 543, 1175, 513, 2603, 540, 1114, 3255, 950, 596, 2811, 972, 1701, 4208, 1281, 519, 2278, 2303, 10707, 998, 519, 13105, 12405, 888, 288, 269, 1677, 2972, 1434, 4365, 538, 5614, 543, 2887, 563, 289, 269, 1677, 723, 1434, 2298, 540, 2533, 563, 290, 269, 1677, 723, 1732, 1871, 540, 10707, 4586, 291, 269, 1677, 4688, 2724, 543, 1648, 563, 12585, 281, 595, 0, 9223, 281, 3905, 5378, 1206, 454, 12585, 281, 666, 1832, 3636, 3946, 538, 519, 6777, 0, 9223, 281, 7353, 21106, 616, 10876, 269, 1358, 30164, 567, 519, 6821, 540, 5321, 543, 616, 1031, 538, 8637, 585, 6455, 540, 1114, 5370, 269, 634, 3377, 568, 4904, 609, 5961, 540, 11642, 267, 17160, 267, 543, 2027, 2621, 269, 16071, 2594, 519, 3083, 625, 540, 2470, 269, 1358, 666, 849, 3142, 1919, 2673, 602, 616, 2484, 2476, 269, 3414, 6337, 267, 1004, 666, 1294, 3552, 2831, 267, 4872, 538, 4914, 3338, 267, 543, 1256, 519, 6801, 538, 9018, 2230, 269, 16071, 849, 2995, 2984, 269, 27561, 519, 3377, 998, 6337, 568, 1572, 8666, 329, 16067, 1143, 269, 2311, 2053, 8666, 329, 16067, 1235, 2995, 741, 2984, 998, 513, 2582, 4605, 269, 2311, 824, 2053, 267, 789, 946, 513, 1895, 540, 5961, 547, 2995, 513, 1650, 269, 3962, 4605, 568, 899, 513, 3184, 538, 513, 1433, 267, 799, 666, 798, 811, 982, 2594, 519, 5013, 269, 898, 666, 849, 581, 513, 2178, 3196, 585, 1514, 1689, 269, 15243, 681, 328, 529, 729, 1851, 519, 1101, 8666, 329, 16067, 1235, 269, 1261, 3576, 5961, 540, 2694, 540, 1715, 3840, 4975, 1141, 519, 4057, 5030, 269, 681, 328, 529, 5156, 602, 6710, 476, 3361, 6760, 267, 543, 646, 1031, 6337, 547, 948, 1864, 6961, 1010, 1448, 269, 589, 1906, 1296, 2663, 267, 519, 6337, 540, 1507, 1453, 2324, 538, 15327, 676, 11066, 670, 710, 28280, 519, 1857, 269, 670, 710, 781, 5961, 5280, 3142, 827, 4031, 547, 2149, 971, 1453, 269, 25569, 338, 540, 5961, 949, 723, 547, 581, 3144, 538, 1931, 547, 1205, 835, 610, 1079, 2731, 1434, 6337, 269, 898, 3217, 2257, 547, 723, 519, 8666, 2097, 856, 5693, 543, 1148, 547, 1118, 513, 8666, 602, 814, 513, 1434, 1374, 543, 20475, 4743, 269, 17421, 329, 16067, 1235, 1118, 606, 4890, 2594, 540, 1018, 789, 1294, 269, 589, 8666, 267, 2705, 267, 666, 581, 1312, 513, 960, 540, 1148, 543, 606, 4890, 2594, 269, 898, 666, 2594, 606, 1271, 2680, 607, 513, 4190, 610, 3078, 4605, 269, 1306, 3140, 543, 7499, 6054, 476, 2073, 31688, 657, 666, 1831, 811, 1271, 936, 942, 269, 4653, 8666, 329, 16067, 1235, 1869, 723, 741, 5961, 2408, 538, 14786, 543, 17476, 269, 1358, 849, 15476, 476, 873, 538, 2835, 543, 593, 519, 5769, 269, 634, 1257, 568, 5631, 827, 476, 9041, 476, 4586, 288, 269, 10213, 519, 1650, 998, 4605, 454, 289, 269, 7718, 908, 519, 6821, 540, 5321, 454, 290, 269, 13629, 3140, 4574, 454, 291, 269, 11589, 4743, 998, 5961, 454, 12585, 281, 589, 0, 27746, 4941, 547, 1118, 513, 14735, 585, 31929, 2073, 6307, 4280, 952, 1200, 5172, 8137, 729, 669, 584, 549, 1547, 0, 9223, 281, 634, 4892, 1289, 713, 18685, 1665, 513, 1974, 269, 1548, 798, 649, 1289, 621, 888, 12585, 281, 2407, 3247, 0, 29991, 2436, 519, 1739, 3948, 610, 6898, 616, 26363, 610, 5579, 9476, 1043, 912, 13750, 618, 281, 6341, 667, 7568, 1245, 20639, 593, 519, 1379, 1404, 538, 519, 26304, 19067, 454, 303, 5055, 639, 1043, 270, 574, 680, 9476, 1043, 286, 5579, 9476, 1043, 0, 9223, 281, 6904, 7328, 1705, 5261, 13527, 267, 5246, 29989, 540, 2052, 26248, 267, 4766, 607, 1412, 6716, 2213, 3138, 2378, 532, 262, 888, 12585, 281, 23153, 25319 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3550, 1360, 2143, 543, 538, 3829, 3795, 540, 519, 2035, 563, 268, 12056, 281, 3503, 609, 606, 4081, 543, 2502, 3159, 602, 7380, 919, 1719, 563, 268, 11930, 281, 2422, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 2252, 972, 616, 6310, 7215, 946, 513, 2953, 17623, 311, 11249, 269, 1684, 711, 946, 2592, 543, 2057, 2606, 2453, 971, 607, 834, 342, 4372, 547, 713, 1770, 257, 693, 519, 4098, 610, 8753, 519, 1439, 269, 0, 8080, 547, 7641, 2920, 532, 9828, 256, 5620, 596, 2479, 14478, 707, 5172, 7641, 1397, 543, 2219, 827, 875, 1454, 1187, 621, 1131, 581, 547, 957, 899, 1346, 11051, 286, 4270, 267, 602, 781, 1018, 649, 616, 2469, 547, 1451, 827, 538, 713, 1576, 1770, 256, 1284, 786, 2263, 930, 9117, 2553, 1031, 4481, 585, 8613, 2982, 269, 1635, 519, 1439, 540, 713, 1770, 267, 596, 786, 723, 513, 1732, 1620, 540, 1018, 4422, 883, 2870, 1825, 15344, 3197, 543, 12644, 593, 7641, 780, 4131, 781, 1376, 609, 1945, 2241, 910, 1560, 1893, 269, 1879, 8384, 7641, 267, 666, 596, 2995, 952, 2576, 568, 6126, 267, 8909, 267, 14220, 267, 610, 18901, 1256, 1354, 789, 2161, 4376, 286, 2334, 781, 1317, 938, 4703, 1419, 2285, 721, 2476, 256, 1306, 606, 17076, 267, 1373, 3222, 540, 707, 1560, 1893, 568, 1898, 269, 898, 2337, 6655, 4664, 811, 3927, 543, 8591, 3178, 547, 707, 1915, 269, 8347, 8026, 1114, 11132, 7215, 543, 5322, 538, 4395, 540, 513, 11604, 269, 18564, 875, 1507, 2242, 538, 707, 32071, 4900, 267, 5023, 267, 610, 14302, 666, 4625, 1689, 519, 1259, 1866, 13498, 707, 7099, 780, 5194, 1271, 2460, 540, 7641, 9117, 2553, 568, 5639, 25244, 269, 4595, 972, 616, 1100, 2168, 5036, 585, 9458, 547, 1294, 630, 3697, 3942, 4249, 1070, 3280, 3587, 2629, 538, 23187, 7553, 543, 4259, 10207, 269, 6657, 4657, 519, 4320, 267, 12334, 267, 10605, 267, 543, 1102, 3005, 540, 707, 5639, 1247, 2542, 16965, 610, 973, 1746, 3515, 269, 1411, 1522, 1265, 3054, 4742, 27153, 538, 519, 6429, 543, 4743, 519, 4664, 540, 519, 1915, 596, 616, 9446, 532, 2439, 1103, 1840, 547, 13215, 1560, 1893, 543, 5639, 25244, 267, 1434, 12557, 568, 1883, 950, 7900, 593, 8254, 269, 9521, 14364, 24299, 1141, 9073, 666, 3006, 581, 4988, 909, 610, 561, 13774, 1117, 1055, 267, 6959, 1500, 1282, 2083, 2719, 949, 2154, 1964, 691, 532, 519, 3003, 6429, 269, 901, 1223, 1611, 18110, 3527, 2789, 2053, 2394, 3388, 20383, 9985, 269, 15043, 5140, 12557, 1983, 5849, 23704, 13289, 1063, 15833, 543, 2636, 13588, 547, 3251, 7722, 538, 519, 1650, 1467, 780, 15563, 267, 1577, 781, 2911, 827, 2324, 609, 3039, 13819, 543, 2027, 2360, 269, 3509, 7641, 2982, 946, 891, 2645, 547, 1711, 28531, 10600, 610, 1039, 3308, 1719, 269, 1717, 267, 15025, 609, 4986, 855, 513, 10145, 5496, 666, 581, 4101, 2094, 11051, 991, 547, 4952, 741, 10450, 8308, 269, 1677, 2259, 267, 2119, 7555, 538, 4395, 540, 513, 3774, 610, 6806, 7450, 543, 27642, 621, 781, 1945, 3116, 7357, 1107, 6148, 513, 5624, 1222, 1852, 8470, 610, 513, 14297, 2749, 8265, 269, 2422, 10855, 1913, 547, 948, 1628, 519, 3239, 538, 707, 2247, 543, 1287, 2746, 9935, 780, 3086, 979, 8521, 543, 4019, 891, 16012, 7641, 9117, 2553, 256, 5457, 267, 2259, 2306, 3501, 267, 865, 1810, 1405, 581, 12922, 547, 1685, 1236, 1080, 610, 10207, 609, 2828, 267, 1920, 2818, 267, 610, 1256, 10130, 269, 4107, 11932, 267, 723, 1187, 3695, 519, 1158, 540, 7900, 6575, 998, 8613, 2504, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 14276, 16457, 282, 14130, 25642, 18058, 670, 792, 902, 476, 275, 270, 1789, 268, 276, 270, 272, 270, 3422, 280, 454, 14738, 6340, 519, 4182, 781, 3854, 543, 693, 713, 942, 519, 9456, 3872, 5925, 3060, 5956, 2347, 2661, 3795, 540, 519, 4427, 1260, 2466, 6590, 593, 10618, 540, 519, 14130, 25642, 9730, 5873, 902, 3261, 725, 2731, 519, 15278, 585, 5398, 16340, 26511, 269, 1656, 1175, 513, 1906, 3764, 689, 1631, 27737, 13744, 918, 2643, 1650, 540, 29049, 6816, 786, 1289, 513, 8400, 593, 713, 12233, 21981, 3823, 14130, 10122, 585, 519, 10618, 14178, 922, 14074, 4990, 540, 2947, 2984, 538, 1010, 1747, 646, 568, 2469, 547, 1491, 596, 2047, 547, 713, 6217, 269, 23548, 1231, 5873, 902, 593, 835, 610, 1079, 269, 16340, 26511, 2920, 269, 715, 31106, 24239, 5722, 269, 634, 3261, 566, 540, 476, 736, 2929, 9489, 585, 519, 5106, 689, 4357, 269, 1280, 519, 16642, 1032, 538, 476, 3192, 271, 269, 1656, 676, 14178, 519, 30063, 13144, 585, 14828, 585, 519, 4070, 540, 3872, 454, 2784, 1470, 543, 8613, 6703, 585, 1142, 540, 519, 1985, 16642, 1032, 519, 15278, 585, 5398, 16340, 26511, 799, 729, 2813, 676, 519, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 29552, 2920, 532, 9828, 257, 607, 851, 540, 834, 25807, 19489, 300, 5058, 8121, 4811, 1315, 27657, 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, 6092, 5149, 281, 17959, 540, 10067, 27011, 13221, 692, 15916, 972, 256, 8080, 547, 938, 3460, 998, 942, 607, 649, 2263, 835, 540, 519, 1034, 4241, 8371, 540, 13221, 1107, 10067, 27011, 269, 1411, 1522, 4898, 267, 1018, 1281, 834, 300, 1695, 27011, 257, 1256, 1611, 286, 4270, 267, 621, 18922, 547, 834, 15124, 27990, 2437, 10834, 602, 713, 7936, 6663, 547, 4163, 1082, 1004, 2066, 519, 5836, 540, 7092, 2509, 21481, 269, 15346, 267, 1318, 26834, 1924, 1577, 781, 4685, 538, 543, 1451, 827, 922, 8129, 2439, 16524, 3516, 267, 1472, 476, 4335, 1296, 1310, 13584, 590, 1342, 9618, 15925, 2968, 717, 2246, 4821, 17700, 630, 1492, 2037, 2775, 2989, 2290, 1070, 930, 2242, 3323, 8345, 1369, 13221, 269, 5457, 875, 17700, 6026, 1010, 13794, 547, 1246, 519, 5664, 10158, 267, 2259, 9066, 267, 543, 3343, 7326, 286, 2368, 26112, 543, 5640, 3459, 547, 1589, 7184, 827, 891, 10752, 543, 2919, 1007, 12496, 269, 901, 3366, 547, 519, 4332, 540, 10067, 27011, 13221, 2439, 3086, 596, 949, 2307, 267, 834, 1432, 2306, 10067, 27011, 1114, 689, 824, 3029, 540, 13221, 8119, 4279, 2243, 256, 2755, 2038, 6844, 327, 1235, 5059, 5631, 593, 4742, 818, 1002, 338, 1765, 785, 1339, 338, 945, 3035, 19802, 689, 7092, 676, 14874, 26846, 267, 23998, 267, 543, 22293, 1765, 300, 1695, 18885, 1235, 5189, 1776, 1909, 2203, 1572, 519, 26636, 20130, 3430, 9366, 269, 589, 26636, 20130, 3430, 9366, 568, 2576, 945, 11394, 2347, 21481, 855, 17799, 10024, 562, 597, 341, 3570, 2394, 789, 948, 1169, 2582, 1373, 3914, 21481, 1932, 269, 1548, 513, 1582, 1652, 957, 256, 5994, 952, 3025, 2219, 899, 602, 282, 938, 1158, 1131, 15983, 1831, 513, 1732, 1747, 2439, 5194, 2189, 4183, 540, 10067, 27011, 13221, 568, 741, 3661, 538, 2789, 14609, 13757, 543, 13938, 20130, 3430, 11663, 17729, 2429, 1585, 10600, 543, 2053, 269, 1358, 849, 1871, 10723, 5931, 3564, 1346, 6444, 538, 4505, 3506, 269, 1452, 3606, 12591, 2270, 11121, 2984, 267, 10952, 5717, 267, 1199, 14591, 267, 12738, 267, 543, 811, 269, 2353, 891, 2609, 5280, 4482, 811, 1004, 547, 6443, 519, 5289, 2146, 780, 7021, 942, 267, 10067, 27011, 3262, 4922, 2066, 5607, 267, 12018, 2199, 4529, 543, 2870, 4190, 1568, 540, 1148, 18995, 14609, 13757, 267, 13938, 20130, 3430, 11663, 267, 543, 1950, 3090, 3359, 269, 6733, 693, 713, 10875, 7206, 6029, 589, 1998, 758, 2572, 341, 4673, 267, 519, 17519, 13938, 20130, 3430, 9366, 945, 24151, 12808, 2648, 543, 23502, 256, 18564, 875, 646, 814, 9118, 7916, 8757, 856, 547, 948, 7919, 10876, 269, 1215, 5863, 568, 602, 2496, 2026, 596, 666, 1294, 267, 10067, 27011, 13221, 6035, 4195, 5380, 543, 2853, 602, 6949, 730, 609, 1082, 1004, 269, 4706, 11944, 6825, 513, 7432, 1448, 538, 519, 1646, 540, 13221, 267, 3850, 621, 547, 11457, 1247, 9363, 3020, 547, 922, 4295, 3741, 269, 1656, 3314, 267, 2436, 596, 2811, 1565, 827, 10067, 27011, 610, 1022, 824, 2460, 540, 1686, 267, 2141, 1832, 6998, 2055, 267, 5275, 4267, 267, 543, 3395, 707, 1620, 269, 2334, 1259, 267, 1175, 899, 519, 26636, 20130, 3430, 11663, 267, 596, 3513, 3565, 9797, 547, 519, 2729, 540, 1866, 2439, 31917, 3695, 256, 19402, 1985, 942, 2507, 692, 263, 9616, 281, 16103, 543, 12222, 1131, 7494, 3986, 519, 4276, 543, 6278, 540, 1762, 3988, 4700, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 5804, 519, 10793, 564, 912, 1607, 19186, 636, 568, 513, 3524, 601, 547, 519, 1353, 540, 18882, 543, 12472, 540, 570, 656, 2001, 3570, 3203, 799, 519, 1306, 328, 1738, 5980, 9333, 809, 896, 519, 20648, 1788, 593, 519, 1353, 540, 14418, 8551, 543, 15339, 563, 763, 19186, 636, 568, 5258, 883, 1079, 6810, 910, 7956, 543, 16503, 5928, 269, 634, 7956, 5161, 540, 606, 1412, 7072, 262, 543, 1412, 5327, 20696, 11872, 593, 16503, 5928, 8339, 634, 4985, 11828, 267, 538, 5618, 267, 519, 2495, 543, 9165, 540, 570, 656, 2001, 3570, 1148, 267, 519, 6073, 543, 1505, 540, 960, 267, 519, 2326, 4988, 267, 3092, 269, 519, 16503, 5928, 723, 1044, 11231, 267, 607, 2484, 607, 1316, 27809, 267, 1641, 30150, 267, 1775, 4318, 1421, 12835, 2762, 269, 634, 10855, 4967, 593, 12383, 267, 1739, 713, 10325, 267, 1491, 1813, 543, 1697, 5469, 540, 519, 1523, 5817, 513, 1880, 12835, 4919, 6249, 610, 513, 1880, 11599, 1106, 563, 2467, 616, 476, 24129, 12383, 540, 799, 476, 10170, 616, 538, 7990, 269, 769, 513, 3296, 540, 1570, 585, 713, 3483, 14365, 712, 814, 1044, 1500, 547, 1331, 782, 1271, 543, 1713, 2010, 563, 763, 19186, 636, 267, 1927, 609, 4967, 543, 12383, 267, 568, 5097, 513, 1433, 593, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 11771, 1231, 540, 10067, 27011, 257, 607, 851, 540, 834, 32628, 1315, 13221, 1315, 3778, 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, 7982, 950, 594, 729, 538, 2852, 267, 594, 3576, 513, 1576, 593, 519, 6214, 540, 6239, 5607, 267, 543, 621, 2731, 8118, 1250, 4064, 547, 875, 1454, 540, 606, 1764, 519, 2887, 540, 519, 8168, 5742, 1185, 593, 519, 3148, 269, 6969, 1287, 267, 594, 9364, 2141, 2219, 827, 519, 1439, 540, 519, 28268, 607, 1945, 602, 5949, 2484, 2476, 543, 4769, 1405, 1860, 803, 13948, 269, 1809, 607, 649, 1642, 1386, 4514, 883, 519, 1641, 267, 594, 7691, 1175, 875, 10562, 938, 1158, 568, 780, 5978, 7548, 8655, 721, 513, 1895, 1788, 1141, 649, 1185, 547, 5659, 519, 1764, 540, 519, 8168, 5742, 781, 12900, 593, 835, 1808, 2460, 540, 6239, 7489, 6214, 269, 3733, 1895, 8359, 547, 1445, 593, 519, 11944, 540, 1007, 5718, 538, 519, 3148, 269, 1284, 6170, 3108, 15388, 543, 7234, 875, 1142, 2197, 9862, 547, 922, 9241, 4830, 4567, 267, 1018, 2186, 540, 6608, 4646, 267, 543, 2436, 610, 711, 789, 1223, 581, 2808, 11180, 780, 2026, 649, 25653, 883, 519, 1888, 267, 649, 4362, 930, 4241, 4030, 269, 1280, 3236, 267, 1705, 596, 917, 602, 782, 2947, 6239, 7489, 1065, 28362, 923, 10294, 2933, 16232, 1065, 28362, 923, 16172, 1310, 11543, 7115, 286, 2107, 602, 1082, 5449, 21340, 5428, 2818, 2968, 519, 1101, 27504 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 21014, 263, 271, 1070, 1582, 269, 16651, 273, 21014, 263, 271, 22708, 1038, 952, 6486, 314, 271, 316, 3436, 6486, 314, 272, 14158, 2018, 1582, 269, 16651, 272, 6834, 6486, 454, 1038, 3116, 912, 2018, 6486, 18622, 2091, 4590, 2018, 1582, 269, 16651, 273, 6834, 6486, 692, 825, 1219, 9096, 14682, 877, 4311, 2187, 1038, 1247, 7003, 4311, 269, 16651, 272, 264, 543, 7003, 4311, 269, 16651, 273, 2187, 2018, 1582, 11519, 5271, 9876, 14682, 877, 14067, 788, 10797, 825, 1219, 1205, 318, 7773, 940, 23962, 4311, 2187, 1038, 2698, 815, 1496, 271, 267, 476, 271, 2639, 1038, 585, 1775, 267, 6345, 538, 26246, 8443, 1345, 269, 16651, 272, 267, 1582, 269, 16651, 273, 316, 2187, 2018, 585, 795, 267, 3556, 538, 26246, 263, 16651, 2187, 3546, 2698, 5157, 316, 6834, 630, 6352, 263, 16651, 9984, 329, 12684, 15258, 454, 1038, 2132, 3193, 6025, 4973, 9239, 5035, 25276, 318, 18474, 520, 912, 825, 1219, 6449, 8181, 9191, 1345, 267, 6345, 272, 18425, 267, 6345, 273, 18425, 2187, 1038, 1582, 269, 16651, 272, 815, 6345, 272, 18425, 454, 1038, 1582, 269, 16651, 273, 815, 6345, 273, 18425, 454, 1038, 1582, 269, 2181, 341, 14067, 919, 815, 1305, 4590, 1038, 1582, 269, 7773, 1676, 815, 7183, 692, 825, 1219, 9041, 5271, 9876, 14682, 877, 14067, 788, 4311, 2187, 1038, 1948, 6744, 585, 3014, 1439, 454, 1038, 952, 1582, 269, 7773, 1676, 568, 711, 7183, 912, 2018, 2132, 692, 1038, 1948, 6987, 847, 6486, 454, 1038, 6486, 815, 1496, 1345, 269, 16651, 272, 21014, 263, 271, 1070, 1582, 269, 16651, 273, 21014, 263, 271, 22708, 1038, 5180, 318, 7773, 815, 7183, 692, 1038, 952, 6486, 314, 271, 316, 10922, 7003, 4311, 269, 16651, 272, 264, 543, 6486, 314, 272, 316, 10922, 7003, 4311, 269, 16651, 273, 2187, 2018, 1948, 1234, 15479, 633, 3014, 454, 2018, 1016, 14682, 877, 815, 25276, 318, 18474, 520, 4311, 269, 16651, 272, 11468, 11568, 314, 271, 14963, 2676, 4449, 13376, 1582, 269, 16651, 273, 11468, 11568, 314, 272, 316, 7481, 2018, 1016, 14682, 877, 8807, 514, 880, 14682, 877, 4590, 2018, 5180, 318, 7773, 815, 1016, 14682, 877, 269, 7773, 1676, 454, 1038, 3116, 912, 2018, 1948, 8617, 3014, 454, 2018, 952, 6486, 314, 271, 316, 3436, 6486, 314, 272, 14158, 3546, 5180, 318, 7773, 815, 476, 272, 454, 2018, 3116, 912, 3546, 5180, 318, 7773, 815, 476, 273, 692, 1038, 1948, 15233, 16771, 454, 1038, 952, 5180, 318, 7773, 2652, 476, 272, 912, 2018, 1582, 269, 16651, 272, 6834, 6486, 454, 1038, 3116, 912, 2018, 6486, 18622, 2091, 4590, 2018, 1582, 269, 16651, 273, 6834, 6486, 692, 1038, 1948, 6744, 585, 824, 2175, 454, 1038, 952, 711, 7003, 4311, 269, 16651, 272, 2187, 2018, 1582, 269, 7773, 1676, 815, 476, 273, 454, 2018, 2132, 454, 1038, 952, 711, 7003, 4311, 269, 16651, 273, 2187, 2018, 1582, 269, 7773, 1676, 815, 476, 272, 454, 2018, 2132, 454, 1038, 3014, 26077, 815, 630, 14654, 921, 4311, 269, 16651, 272, 1070, 24042, 4311, 269, 16651, 273, 4917, 1038, 952, 3014, 26077, 538, 1582, 269, 2181, 341, 14067, 919, 912, 2018, 1582, 269, 7773, 1676, 815, 476, 272, 454, 1038, 3116, 912, 2018, 1582, 269, 2181, 341, 14067, 919, 14491, 14116, 877, 26077, 994, 1038, 2132, 692, 825, 1219, 9096, 14682, 877, 4311, 2187, 1038, 1247, 1582, 269, 7773, 1676, 568, 7183, 912, 2018, 1582, 11519, 5271, 9876, 14682, 877, 14067, 788, 10797, 825, 1219, 1205, 318, 7773, 940, 23962, 4311, 2187, 1038, 2698, 815, 1496, 271, 267, 476, 271, 2639, 1038, 585, 1775, 267, 6345, 538, 26246, 8443, 1345, 269, 16651, 272, 267, 1582, 269, 16651, 273, 316, 2187, 2018, 585, 795, 267, 3556, 538, 26246, 263, 16651, 2187, 3546, 2698, 5157, 316, 6834, 630, 6352, 263, 16651, 9984, 329, 12684, 15258, 454, 1038, 2132, 3193, 6025, 4973, 9239, 3698, 851, 272, 6600, 32327, 2187, 825, 6345, 272, 267, 6345, 273, 815, 1224, 12803, 6600, 32327, 2020, 825, 1250, 14682, 877, 815, 8396, 263, 16651, 272, 267, 6345, 273, 994, 825, 1250, 14682, 877, 8807, 514, 880, 14682, 877, 10797, 825, 1820, 2891, 29806, 10888, 6060, 568, 15079, 1701, 269, 8971, 30044, 14682, 877, 10947, 318, 7773, 940, 23962, 28829, 9239, 3698, 851, 273, 6600, 32327, 2187, 825, 6345, 272, 267, 6345, 273, 815, 1224, 12803, 6600, 32327, 2020, 825, 1250, 14682, 877, 815, 25276, 318, 18474, 520, 263, 16651, 272, 267, 6345, 273, 994, 825, 1250, 14682, 877, 8807, 514, 880, 14682, 877, 10797, 825, 1820, 2891, 29806, 10888, 6060, 568, 15079, 1701, 269, 8971, 30044, 14682, 877, 10947, 318, 7773, 940, 23962, 28829, 9239, 604, 6449, 4067, 1029, 2652, 26242, 10852, 28751, 825, 22245, 815, 13491, 318, 20755, 518, 10797, 825, 1820, 2891, 8512, 476, 272, 281, 5602, 825, 851, 272, 2891, 907, 270, 907, 270, 11907, 27473, 2420, 6155, 520, 5602, 825, 22245, 269, 13765, 4812, 20189, 527, 10797, 825, 1820, 19629, 333, 8512, 476, 273, 281, 5602, 825, 851, 273, 2891, 907, 270, 907, 270, 11907, 27473, 2420, 6155, 520, 5602, 825, 22245, 269, 13765, 4812, 20189, 527, 10797, 825, 22245, 269, 754, 20189, 527, 4590 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 5403, 3634, 476, 272, 1384, 288, 2786, 1899, 949, 581, 6537, 689, 1022, 835, 1448, 547, 1022, 824, 1448, 780, 763, 2022, 3634, 3081, 602, 513, 1899, 10596, 998, 1079, 1448, 780, 3719, 267, 621, 1281, 711, 2161, 602, 1152, 835, 1899, 10596, 998, 476, 273, 3982, 2798, 16317, 3383, 267, 649, 1118, 606, 24936, 558, 540, 621, 910, 1109, 589, 3495, 558, 476, 276, 269, 272, 692, 1012, 5403, 3634, 476, 273, 1384, 28350, 3990, 1899, 1797, 1899, 10126, 666, 581, 6905, 689, 2901, 692, 2515, 547, 1106, 513, 3515, 780, 2080, 267, 7412, 9474, 666, 581, 6905, 689, 1312, 5011, 692, 1012, 5403, 3634, 476, 274, 1384, 288, 5858, 666, 581, 6537, 609, 1022, 4099, 543, 1022, 8953, 692, 292, 326, 281, 17781, 540, 8953, 476, 272, 269, 276, 4699, 1299, 8998, 630, 271, 267, 476, 271, 2020, 290, 22511, 540, 8953, 476, 273, 4699, 1299, 8998, 630, 271, 267, 476, 271, 2020, 290, 22511, 540, 8953, 476, 272, 4699, 1299, 8998, 630, 272, 267, 476, 272, 2020, 1012, 5403, 3634, 476, 275, 1384, 5472, 1318, 7285, 616, 3160, 547, 835, 1776, 16317, 2080, 267, 19110, 645, 815, 19110, 1627, 815, 476, 3445, 4113, 692, 1012, 5403, 3634, 476, 276, 1384, 2252, 513, 2786, 1899, 9991, 593, 1079, 2786, 3515, 2306, 519, 9703, 692, 9201, 593, 519, 1482, 2427, 540, 621, 3144, 1927, 1447, 982, 1079, 1318, 7285, 267, 1287, 519, 692, 18314, 2786, 3515, 267, 952, 3812, 22543, 17802, 267, 2743, 593, 602, 2427, 593, 799, 519, 2040, 540, 692, 9201, 568, 1447, 982, 1079, 1318, 7285, 692, 2171, 1865, 811, 827, 621, 538, 692, 272, 269, 3848, 476, 276, 4147, 476, 280, 4985, 547, 21482, 573, 781, 16387, 454, 273, 269, 10417, 8797, 0, 12914, 476, 6349, 267, 476, 1109, 6440, 11709, 3726, 476, 275, 289, 9508, 2520, 1030, 476, 1731, 1979, 329, 1652, 523, 679, 554, 7572, 4546, 330, 2041, 613, 548, 4575, 642, 3233, 32147, 334, 1315, 966, 310, 302, 1315, 670, 19447, 538, 10246, 3169, 324, 642, 752, 5287, 269, 918, 6359, 330, 522, 758, 552, 839, 1566, 1426, 13440, 718, 7562, 15330, 3821, 2593, 642, 3233, 803, 518, 1217, 520, 773, 9246, 1478, 269, 1546, 2763, 3381, 781, 1990, 6359, 333, 1547, 595, 636, 11494, 1315, 28731, 22039, 17392, 6726, 566, 269, 769, 2241, 267, 595, 636, 11494, 4908, 568, 519, 4881, 2698, 540, 519, 12451, 269, 898, 568, 28367, 593, 519, 7299, 7852, 538, 513, 3113, 269, 595, 636, 11494, 4908, 11708, 616, 2141, 28367, 1210, 519, 5207, 1871, 538, 1142, 1895, 540, 1239, 269, 634, 19469, 4729, 2141, 2982, 519, 1297, 267, 6871, 269, 4455, 476, 2537, 267, 476, 1109, 6440, 634, 19469, 3448, 4908, 540, 1142, 1239, 6221, 568, 1287, 519, 2040, 540, 519, 3448, 12451, 540, 782, 519, 3688, 602, 9551, 324, 621, 3773, 547, 519, 3448, 4908, 540, 602, 6221, 269, 1879, 7421, 267, 519, 4908, 540, 1142, 6221, 568, 519, 1297, 540, 2053, 621, 4386, 267, 543, 519, 3448, 4908, 568, 519, 4908, 5258, 676, 519, 2698, 1297, 540, 7403, 780, 2252, 596, 616, 3168, 692, 258, 8887, 10079, 19469, 7928, 773, 556, 5287, 332, 22389, 692, 2316, 268, 10019, 9578, 9460, 6874, 595, 636, 592, 520, 10079, 7928, 773, 4874, 2998, 517, 267, 942, 281, 476, 274, 281, 2918, 692, 14257, 476, 2537, 267, 476, 1109, 6440, 634, 19469, 3448, 4908, 540, 1142, 1239, 6221, 568, 1287, 519, 2040, 540, 519, 3448, 12451, 540, 782, 519, 3688, 602, 9551, 324, 621, 3773, 547, 519, 3448, 4908, 540, 602, 6221, 269, 1879, 7421, 267, 519, 4908, 540, 1142, 6221, 568, 519, 1297, 540, 2053, 621, 4386, 267, 543, 519, 3448, 4908, 568, 519, 4908, 5258, 676, 519, 2698, 1297, 540, 7403, 269, 2904, 476, 4962, 267, 476, 1109, 6440, 634, 3803, 19469, 4908, 1058, 3160, 519, 2698, 1297, 540, 1239, 2798, 538, 707, 1305, 269, 1703, 616, 1079, 2081, 547, 2638, 713, 281, 5410, 782, 519, 1367, 12451, 1927, 281, 476, 273, 1341, 476, 272, 1341, 476, 274, 1341, 476, 272, 815, 476, 278, 267, 799, 568, 938, 3803, 19469, 4908, 269, 4032, 519, 1297, 540, 1239, 2798, 269, 3776, 1592, 729, 476, 274, 267, 476, 274, 267, 476, 276, 267, 476, 277, 267, 476, 277, 267, 476, 277, 267, 4939, 263, 5392, 1040, 589, 281, 595, 636, 11494, 3448, 4908, 568, 513, 8579, 9819, 23125, 676, 4946, 1927, 5892, 9184, 4327, 3448, 12451, 602, 2306, 513, 4881, 2698, 2059, 513, 4908, 3349, 267, 2687, 547, 1230, 10811, 687, 269, 1280, 3236, 267, 519, 1101, 3448, 4908, 540, 606, 12136, 568, 1079, 856, 540, 476, 736, 543, 519, 2034, 3448, 4908, 568, 2947, 856, 540, 595, 636, 11494, 28731, 22039, 17392, 30263, 1923, 23621, 7151, 269, 634, 595, 636, 11494, 28731, 22039, 17392, 568, 1360, 2147, 547, 938, 30263, 543, 30263, 9498, 269, 2422, 519, 1739, 1239, 1305, 543, 513, 1362, 8700, 540, 476, 272, 269, 11835, 652, 520, 6499, 596, 547, 4283, 519, 1239, 883, 700, 273, 543, 700, 274, 269, 1677, 948, 596, 1451, 875, 547, 5173, 519, 3892, 267, 649, 786, 946, 519, 1239, 2630, 269, 595, 636, 11494, 1315, 28731, 22039, 17392, 6726, 566, 269, 769, 2241, 267, 595, 636, 11494, 4908, 568, 519, 4881, 2698, 540, 519, 12451, 269, 898, 568, 28367, 593, 519, 7299, 7852, 538, 513, 3113, 269, 595, 636, 11494, 4908, 11708, 616, 2141, 28367, 1210, 519, 5207, 1871, 538, 1142, 1895, 540, 1239, 269, 634, 19469, 4729, 2141, 2982, 519, 1297, 267, 6871, 269, 4239, 476, 6349, 267, 476, 1109, 6440, 11709, 3726, 476, 275, 289, 9508, 2520, 1030, 476, 1731, 1979, 329, 1652, 523, 679, 554, 7572, 4546, 330, 2041, 613, 548, 4575, 642, 3233, 32147, 334, 1315, 966, 310, 302, 1315, 670, 19447, 538, 10246, 3169, 324, 642, 752, 5287, 269, 918, 6359, 330, 522, 758, 552, 839, 1566, 1426, 13440, 718, 7562, 15330, 3821, 2593, 642, 3233, 803, 518, 1217, 520, 773, 9246, 1478, 269, 1546, 2763, 3381, 781, 1990, 6359, 333, 1547, 322, 636, 592, 520, 10079, 8887, 10079, 7928, 773, 556, 5287, 332, 22389, 634, 19469, 3448, 4908, 585, 1142, 1239, 6221, 568, 519, 2040, 540, 519, 3448, 12451, 540, 782, 519, 3688, 602, 269, 901, 813, 729, 2919, 676, 513, 11727, 10803, 20131, 269, 589, 1590, 723, 813, 585, 782, 10803, 1053, 269, 20290, 782, 519, 3584, 602, 596, 786, 991, 547, 1205, 998, 707, 269, 10803, 568, 513, 7936, 540, 6128, 7231, 609, 519, 4015, 267, 2079, 267, 7664, 267, 6881, 267, 543, 3919, 540, 1239, 269, 769, 7311, 269, 21038, 2493, 626, 773, 330, 630, 17621, 4614, 801, 773, 10937, 541, 533, 264, 2852, 10937, 541, 9736, 7192, 323, 9934, 1859, 773, 679, 1859, 564, 4471, 31399, 324, 527, 1859, 773, 679, 5127, 686, 329, 12028, 330, 1495, 324, 5203, 924, 527, 269, 631, 269, 17438, 540, 513, 7392, 4083, 18438, 1879, 13281, 513, 1160, 15251, 630, 2419, 269, 476, 1321, 264, 14956, 326, 13273, 654, 17064, 3712, 548, 2471, 6465, 626, 773, 330, 14956, 326, 13273, 829, 530, 17064, 3712, 5076, 6465, 626, 773, 330, 4165, 6851, 867, 523, 269, 910, 692, 1012, 2422, 8887, 10079, 19469, 7928, 773, 556, 5287, 332, 22389, 692, 663, 2972, 692, 5408, 811, 521, 790, 11844, 2899, 1250, 1769, 9614, 692, 1012, 476, 276, 4555, 593, 968, 9824, 520, 10079, 19469, 7928, 773, 556, 5287, 332, 22389, 10640, 272, 269, 1677, 20602, 541, 3081, 1384, 8133, 267, 2731, 269, 2353, 1657, 5143, 519, 5168, 269, 2913, 781, 1865, 713, 2243, 780, 273, 269, 1488, 1662, 574, 3081, 281, 0, 27088, 4391, 630, 15893, 2020, 3953, 267, 26801, 630, 628, 8812, 26690, 8536, 1079, 4627, 13977, 5498, 1597, 264, 568, 606, 9642, 2947, 1673, 580, 1080, 6305, 1297, 1739, 476, 27088, 3607, 543, 18631, 476, 27088, 4343, 269, 769, 3621, 10035, 267, 621, 568, 2854, 607, 476, 274, 269, 23417, 278, 6398, 476, 10441, 269, 634, 2040, 540, 922, 9704, 568, 476, 1704, 269, 898, 814, 513, 2698, 540, 476, 272, 6305, 3815, 543, 476, 273, 2318, 16975, 269, 1703, 616, 476, 3953, 267, 26951, 2318, 9981, 630, 1575, 547, 476, 27088, 4391, 264, 602, 616, 5266, 6305, 547, 476, 27088, 4391, 780, 21995, 3601, 692, 1892, 1772, 11788, 286, 8786, 454, 1892, 7089, 26027, 744, 9536, 454, 1892, 7089, 3259, 476, 276, 454, 1892, 5681, 540, 6226, 1080, 476, 1704, 454, 1892, 7913, 17848, 476, 279, 692, 11243, 692, 14112, 2012, 476, 3953, 8536, 476, 26801, 13977, 26690, 8536, 1079, 4627, 13977, 5498, 1597, 692, 8253, 566, 692, 26199, 10035, 476, 274, 269, 23417, 278, 6398, 476, 10441, 476, 3953, 269, 26801, 6398, 476, 9818, 692, 28269, 16748, 1436, 540, 476, 27088, 4391, 692, 28269, 16748, 1436, 476, 27088, 4391, 692, 28269, 1297, 454, 18850, 3307, 11790, 11192, 11790, 7101, 673, 28911, 3799, 264, 476, 272, 11192, 1297, 540, 3982, 6305, 2188, 3852, 358, 3799, 264, 476, 272, 11192, 1297, 540, 6305, 2188, 2234, 3799, 264, 476, 27088, 4391, 8605, 540, 519, 3982, 6305, 2338, 18494, 3799, 264, 910, 272, 16849, 519, 26027, 540, 3852, 358, 3799, 1070, 971, 602, 18494, 3799, 264, 815, 11196, 272, 264, 394, 358, 3799, 264, 13179, 3799, 264, 910, 272, 16849, 281, 476, 272, 267, 952, 562, 814, 606, 1256, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 6567, 272, 267, 952, 562, 814, 606, 9642, 1297, 540, 6305, 2188, 630, 663, 568, 4009, 1863, 264, 476, 271, 267, 952, 562, 814, 513, 16302, 6305, 3815, 3852, 505, 3799, 264, 476, 1015, 269, 23884, 280, 16849, 2845, 9638, 264, 952, 562, 568, 513, 1379, 533, 330, 540, 1022, 6305, 533, 630, 1721, 1022, 737, 13843, 476, 272, 1070, 3116, 7024, 476, 271, 692, 763, 6305, 26458, 540, 476, 3953, 267, 26801, 568, 476, 27088, 4391, 269, 4595, 621, 814, 513, 2698, 540, 476, 272, 6305, 3815, 267, 476, 3953, 267, 26801, 568, 513, 6305, 1297, 780, 19667, 30583, 540, 476, 27088, 4391, 692, 273, 16975, 692, 4634, 16975, 476, 271, 476, 273, 476, 273, 476, 271, 454, 13707, 6555, 30583, 5681, 540, 6555, 30583, 1325, 1172, 582, 5681, 26018, 3799, 264, 476, 273, 11192, 1297, 540, 519, 2318, 16975, 540, 562, 21566, 3799, 264, 476, 27088, 4343, 5681, 540, 782, 519, 2318, 16975, 540, 562, 521, 3799, 264, 476, 272, 5681, 540, 519, 1697, 2318, 16975, 540, 562, 589, 3799, 264, 476, 14065, 866, 16849, 519, 2040, 540, 16975, 630, 17385, 3799, 4297, 5258, 676, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 717, 3799, 264, 476, 9692, 269, 276, 5325, 16849, 519, 32671, 3597, 540, 519, 1587, 540, 562, 16975, 670, 3799, 264, 476, 272, 269, 15886, 11463, 16849, 519, 2698, 1297, 540, 16975, 630, 16483, 3799, 4297, 5258, 676, 519, 2040, 540, 519, 23483, 540, 1142, 16975, 692, 763, 1297, 476, 3953, 267, 26801, 666, 581, 5258, 676, 476, 273, 2318, 16975, 630, 719, 540, 799, 476, 271, 616, 1256, 267, 543, 476, 273, 616, 9642, 1040, 634, 2040, 540, 891, 16975, 630, 12248, 532, 476, 3953, 267, 26801, 264, 568, 476, 3953, 267, 24487, 267, 519, 3328, 568, 476, 1626, 267, 15686, 780, 8448, 25226, 12793, 630, 333, 815, 476, 27088, 4391, 2020, 272, 26420, 3799, 264, 562, 454, 292, 17526, 570, 582, 1304, 25844, 19376, 700, 10033, 11788, 13100, 26420, 3799, 264, 476, 27088, 3607, 11192, 1297, 540, 2318, 9981, 711, 3152, 982, 562, 602, 616, 2941, 31870, 547, 562, 18494, 3799, 264, 476, 27088, 3607, 9540, 652, 2318, 1297, 971, 602, 513, 16575, 3799, 264, 9881, 350, 476, 272, 630, 7116, 562, 264, 585, 782, 513, 2941, 31870, 547, 562, 12631, 3799, 264, 9881, 486, 476, 31798, 275, 11192, 1297, 540, 22136, 1447, 982, 610, 3160, 547, 562, 678, 273, 3799, 264, 476, 279, 634, 1297, 540, 2081, 562, 666, 581, 6719, 607, 519, 2040, 540, 476, 273, 10945, 692, 2467, 616, 476, 3953, 267, 26951, 2318, 9981, 630, 1652, 982, 476, 3953, 267, 26801, 264, 602, 616, 2941, 31870, 609, 476, 3953, 267, 26801, 269, 1656, 972, 616, 5111, 476, 274, 267, 275, 5038, 6305, 2338, 1447, 982, 610, 3160, 547, 476, 3953, 267, 26801, 780, 19667, 529, 2225, 540, 476, 27088, 4391, 692, 544, 562, 1110, 544, 476, 273, 476, 274, 476, 275, 476, 276, 476, 277, 476, 278, 476, 279, 476, 280, 476, 272, 476, 273, 476, 272, 476, 273, 476, 276, 476, 273, 476, 276, 476, 279, 692, 3953, 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 ]
[ 0, 9223, 281, 3509, 1296, 3516, 594, 5030, 538, 513, 7262, 2197, 269, 3733, 1360, 1101, 2816, 729, 538, 519, 2749, 543, 594, 729, 9599, 547, 979, 547, 960, 676, 1857, 3560, 256, 594, 1185, 2760, 1044, 6964, 1354, 543, 1250, 8458, 540, 21409, 593, 513, 1668, 676, 8885, 1185, 2141, 1044, 1360, 28489, 269, 1924, 267, 594, 729, 1360, 6126, 609, 1250, 1007, 6197, 256, 594, 2451, 1753, 1142, 6640, 538, 942, 547, 6952, 519, 476, 279, 269, 4962, 1668, 689, 519, 1292, 4155, 269, 2290, 15489, 6640, 594, 1223, 1294, 519, 1668, 16042, 269, 594, 1223, 849, 1294, 606, 11361, 14799, 6972, 609, 513, 17681, 2915, 22290, 1200, 269, 1703, 941, 930, 19920, 3297, 1200, 269, 476, 634, 1668, 8452, 543, 649, 3893, 593, 269, 8307, 5216, 15915, 941, 15868, 547, 2951, 7555, 269, 594, 729, 3330, 519, 1668, 950, 519, 18364, 1572, 267, 834, 18744, 5216, 7555, 15915, 256, 16393, 519, 2063, 835, 547, 1205, 593, 5225, 1205, 1055, 8119, 594, 4718, 1346, 19920, 3330, 267, 1318, 538, 4395, 540, 803, 267, 543, 621, 7018, 602, 789, 1185, 29860, 519, 20313, 256, 594, 5828, 543, 4718, 519, 11361, 14799, 609, 1200, 2915, 827, 547, 1205, 1055, 269, 594, 6410, 3533, 547, 1205, 538, 4395, 540, 1200, 269, 594, 9415, 1200, 547, 3251, 267, 6616, 1360, 1134, 594, 1131, 581, 3735, 602, 6640, 267, 855, 621, 4769, 1405, 21898, 803, 269, 898, 729, 1152, 607, 594, 6410, 2250, 1200, 547, 1205, 1055, 519, 1668, 602, 594, 7691, 4534, 1352, 729, 9420, 256, 4173, 2915, 729, 1200, 3391, 2915, 256, 476, 4270, 267, 594, 5555, 3893, 547, 519, 5604, 269, 2991, 519, 1554, 781, 960, 594, 4682, 547, 519, 1668, 1796, 538, 4395, 540, 1250, 5604, 547, 1118, 519, 2132, 3460, 269, 1548, 513, 16990, 9983, 256, 634, 14799, 543, 1200, 2915, 941, 972, 256, 594, 729, 2731, 20938, 1317, 594, 1131, 1205, 513, 1732, 4960, 547, 3717, 609, 1200, 269, 594, 3323, 519, 6643, 543, 1352, 6444, 1250, 7489, 20020, 256, 2701, 4280, 952, 594, 729, 519, 1482, 1268, 945, 5280, 1200, 602, 6640, 269, 29055, 256, 3245, 972, 27477, 621, 729, 835, 1279, 6126, 6643, 269, 1452, 4190, 8823, 616, 1869, 4195, 538, 1250, 2247, 269, 1635, 4543, 1866, 267, 594, 1745, 1543, 256, 3245, 519, 1101, 8574, 267, 649, 666, 1451, 602, 519, 2278, 567, 9041, 476, 4586, 288, 269, 1419, 14612, 676, 1668, 593, 1200, 1378, 454, 289, 269, 2972, 2469, 547, 960, 676, 1857, 3560, 454, 290, 269, 1336, 513, 1732, 2816, 1631, 982, 1354, 454, 291, 269, 729, 4535, 883, 513, 14547, 1920, 454, 12585, 281, 645, 0, 763, 1739, 616, 2789, 3903, 2055, 630, 5976, 4267, 264, 827, 1455, 2631, 563, 9223, 281, 1677, 798, 513, 2620, 2973, 593, 707, 24095, 454, 288, 269, 1411, 1058, 946, 513, 2156, 558, 547, 30908, 519, 1286, 704, 267, 1287, 544, 641, 519, 24095, 1210, 513, 544, 641, 543, 19943, 563, 289, 269, 1411, 1058, 798, 513, 834, 338, 869, 3945, 636, 257, 2429, 519, 4055, 267, 543, 1287, 946, 513, 24095, 15777, 563, 12585, 281, 645, 0, 9223, 281, 13343, 3240, 6068, 8384, 8613, 269, 1261, 1131, 12687, 909, 543, 4585, 14295, 9398, 593, 14295, 3019, 8416, 269, 3571, 5172, 20419, 729, 590, 1723, 984, 344, 1684, 334, 269, 2991, 1010, 3158, 13603, 1864, 909, 693, 519, 1668, 3247, 267, 646, 1131, 979, 1753, 543, 4585, 519, 4469, 842, 18429, 269, 2290, 1554, 267, 1010, 3158, 5143, 1864, 646, 729, 711, 4847, 547, 4585, 27977, 1310, 1153, 269, 476, 1261, 729, 1360, 8909, 269, 2701, 5143, 1864, 646, 1185, 547, 979, 3544, 547, 1404, 269, 1261, 15336, 883, 519, 18147, 269, 674, 18480, 729, 4881, 1472, 269, 1261, 3323, 547, 29677, 1864, 269, 1261, 13603, 909, 513, 3440, 543, 28520, 621, 269, 674, 18480, 10443, 1310, 621, 543, 4547, 621, 1394, 269, 13343, 3240, 561, 13774, 1117, 269, 1261, 669, 1078, 1310, 674, 18480, 543, 29565, 3481, 1010, 1394, 269, 9320, 1373, 3544, 7012, 1405, 865, 3983, 1310, 782, 256, 1261, 5129, 609, 674, 18480, 585, 1776, 5662, 2394, 1010, 3158, 1572, 1864, 3330, 269, 898, 729, 12129, 942, 269, 20550, 1676, 729, 22304, 9269, 543, 11792, 1117, 12277, 3620, 529, 5172, 269, 1261, 729, 6126, 1010, 3158, 1500, 1864, 979, 3544, 269, 1261, 1131, 979, 3544, 1169, 1554, 1310, 1153, 1631, 256, 1548, 568, 519, 7911, 781, 5172, 7641, 2982, 888, 288, 269, 674, 18480, 1299, 13343, 3240, 454, 289, 269, 4469, 842, 18429, 1299, 590, 1723, 984, 344, 1684, 334, 454, 290, 269, 16474, 1299, 13343, 3240, 454, 291, 269, 1530, 8882, 15505, 1299, 3751, 540, 519, 10830, 454, 12585, 281, 645, 0, 9223, 281, 5808, 729, 16207, 883, 519, 570, 9200, 676, 1010, 11515, 267, 729, 29186, 1194, 676, 513, 18896, 267, 1071, 1922, 15903, 7507, 543, 729, 7166, 676, 1010, 7015, 888, 12585, 281, 1121, 639, 0, 9223, 281, 1306, 513, 7141, 267, 596, 2811, 2469, 998, 2462, 2242, 9308, 543, 15508, 269, 2659, 4690, 616, 9750, 269, 1656, 707, 7287, 547, 1491, 1852, 540, 707, 1378, 1272, 568, 3395, 269, 3371, 568, 519, 4161, 281, 8866, 991, 547, 2263, 519, 1158, 538, 1007, 2081, 267, 543, 3237, 991, 547, 2149, 873, 689, 519, 12178, 602, 616, 856, 538, 602, 1158, 269, 1452, 7526, 666, 3362, 1305, 1055, 32030, 538, 6382, 9350, 8075, 269, 6884, 7526, 666, 1405, 581, 14284, 269, 1809, 676, 9878, 3007, 547, 519, 2679, 7161, 540, 3811, 3347, 267, 596, 666, 960, 2509, 1818, 1753, 513, 6126, 543, 2635, 1747, 585, 596, 543, 707, 3237, 269, 1280, 3236, 267, 2119, 547, 1265, 513, 942, 547, 2911, 950, 707, 3237, 616, 711, 14220, 267, 13110, 267, 26531, 267, 610, 17237, 269, 589, 1434, 942, 547, 2911, 568, 950, 596, 2811, 782, 17159, 1547, 7033, 532, 568, 3388, 269, 1403, 519, 6643, 5956, 547, 2490, 883, 606, 4661, 267, 596, 9364, 1732, 9350, 569, 543, 3579, 569, 2307, 547, 3247, 519, 6643, 585, 1631, 269, 1411, 666, 4584, 621, 909, 1586, 950, 3025, 781, 811, 17159, 269, 19415, 547, 1018, 707, 3237, 616, 6031, 267, 543, 10956, 621, 1394, 547, 873, 269, 901, 2982, 873, 602, 596, 2811, 6947, 269, 898, 849, 3947, 873, 513, 4960, 547, 2312, 1919, 909, 952, 596, 2811, 711, 593, 519, 1482, 2985, 269, 21727, 568, 519, 2679, 3625, 540, 1434, 2792, 269, 4658, 945, 2463, 1142, 824, 543, 1416, 827, 1142, 1866, 262, 4606, 666, 10990, 1510, 1919, 3478, 30299, 269, 1411, 616, 811, 2693, 547, 1205, 2059, 609, 707, 3237, 543, 723, 811, 7115, 476, 952, 707, 3237, 3494, 538, 596, 269, 1215, 798, 596, 1628, 3972, 286, 11565, 2501, 676, 2965, 3257, 1018, 596, 2161, 596, 2811, 2469, 547, 798, 269, 2368, 12322, 1265, 602, 3257, 1187, 2238, 609, 741, 3237, 666, 2087, 741, 3347, 269, 6884, 649, 7340, 602, 3237, 616, 811, 982, 4341, 24237, 19203, 16269, 2811, 4277, 1004, 945, 899, 547, 4585, 9413, 267, 543, 979, 10918, 26905, 3286, 899, 741, 14038, 256, 1548, 798, 596, 798, 952, 596, 616, 3843, 707, 1655, 267, 855, 707, 2078, 609, 707, 3237, 5170, 547, 581, 22586, 7790, 1411, 949, 2015, 5275, 3544, 948, 269, 1411, 666, 1265, 11215, 4079, 267, 971, 607, 513, 4116, 610, 513, 16455, 267, 945, 666, 678, 269, 5457, 596, 666, 1152, 1689, 707, 1378, 2623, 282, 707, 3237, 616, 519, 1152, 3283, 945, 666, 1689, 741, 338, 269, 1548, 781, 519, 1655, 2140, 540, 519, 8574, 888, 288, 269, 7827, 2659, 13574, 20409, 12542, 563, 289, 269, 6258, 547, 21727, 2659, 14268, 563, 290, 269, 5269, 13458, 609, 2659, 14268, 454, 291, 269, 20504, 1548, 2659, 14268, 17166, 563, 12585, 281, 595, 0, 9223, 281, 634, 12760, 5114, 602, 10173, 519, 6129, 17838, 7250, 883, 454, 12585, 281, 26775, 269, 0, 9223, 281, 6145, 1082, 1004, 267, 594, 723, 1100, 2312, 2856, 827, 12325, 269, 2311, 930, 1448, 267, 649, 782, 4898, 952, 649, 991, 513, 5869, 543, 1018, 513, 5869, 2731, 568, 269, 4014, 972, 616, 513, 2603, 540, 3604, 538, 4529, 267, 12325, 1472, 519, 1158, 3622, 2671, 513, 1297, 540, 4162, 567, 799, 2285, 721, 10100, 543, 1118, 721, 1616, 547, 1451, 689, 873, 269, 589, 5869, 1281, 1945, 4502, 6158, 827, 269, 589, 5869, 814, 513, 2027, 1650, 547, 2995, 543, 1004, 1589, 3810, 540, 621, 269, 1809, 513, 5869, 568, 711, 1175, 519, 1268, 609, 1390, 21239, 567, 1547, 589, 5869, 814, 7060, 567, 3677, 982, 5128, 269, 2368, 1004, 1616, 547, 2661, 899, 513, 5869, 267, 543, 789, 723, 547, 1995, 1272, 609, 1007, 543, 2417, 2495, 269, 589, 2386, 1449, 585, 1131, 15515, 12325, 568, 1018, 610, 7247, 789, 4196, 269, 1548, 798, 789, 1616, 547, 2661, 543, 5884, 585, 286, 1403, 519, 2626, 5267, 789, 4196, 1152, 741, 1378, 21239, 267, 789, 949, 581, 4583, 7606, 855, 711, 12325, 269, 589, 5869, 814, 513, 9041, 689, 519, 4410, 5593, 641, 269, 1261, 814, 519, 1379, 547, 1847, 1004, 269, 1261, 5932, 1007, 7399, 269, 9453, 19413, 267, 3127, 1522, 1869, 581, 851, 540, 6628, 269, 9453, 9410, 13162, 3751, 267, 12789, 1421, 4892, 1522, 1491, 1114, 21772, 267, 3548, 538, 1114, 14060, 267, 979, 585, 15211, 538, 1114, 11614, 267, 543, 6300, 538, 1114, 8637, 1317, 540, 519, 1114, 4778, 540, 741, 2960, 269, 1703, 1522, 581, 2242, 538, 2486, 1510, 513, 5869, 267, 855, 519, 3432, 540, 1689, 1131, 581, 2864, 3500, 269, 8729, 547, 12325, 538, 1686, 267, 789, 1118, 519, 2486, 1020, 865, 6385, 269, 1548, 666, 649, 1451, 689, 519, 8574, 888, 288, 269, 1284, 1810, 1405, 991, 12325, 15042, 693, 930, 1448, 1631, 563, 289, 269, 32445, 616, 782, 519, 1482, 1498, 1114, 538, 4529, 563, 290, 269, 4658, 1205, 1379, 689, 12325, 547, 1847, 547, 513, 1007, 1747, 563, 291, 269, 3776, 2486, 814, 2919, 5488, 1317, 540, 12325, 538, 1686, 563, 12585, 281, 667, 0, 454, 9223, 281, 6904, 4845, 814, 519, 2953, 18781, 1931, 281, 513, 834, 12266, 6704, 16463, 1659, 995, 1286, 834, 536, 834, 1659, 995, 12266, 16463, 6704, 1286, 834, 15017, 476, 932, 7860, 281, 3097, 288, 269, 513, 454, 289, 269, 536, 454, 12585, 281, 645, 0, 17556, 1597, 1185, 1010, 4522, 5679, 18088, 856, 1282, 519, 4339, 855, 24138, 1705, 711, 1317, 24697, 729, 835, 540, 519, 25881, 269, 0, 9223, 281, 6904, 540, 519, 1739, 1655, 6257, 667, 1740, 514, 781, 11984, 1063, 3741, 543, 4507, 888, 288, 269, 14362, 616, 15424, 267, 4507, 616, 9551, 757, 563, 289, 269, 14362, 4766, 2924, 267, 4507, 4766, 11645, 563, 290, 269, 14362, 616, 11180, 267, 4507, 616, 1313, 7095, 563, 291, 269, 14362, 4766, 2924, 267, 4507, 4766, 3853, 563, 12585, 281, 667 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 338, 1938, 815, 703, 9272, 2891, 11767, 513, 1297, 540, 5011, 281, 834, 264, 10142, 604, 5011, 2652, 476, 274, 6769, 825, 1820, 2891, 2005, 781, 513, 6906, 14744, 19197, 5011, 2652, 476, 275, 6769, 825, 1820, 2891, 2005, 781, 513, 4009, 14744, 19197, 5011, 2652, 476, 276, 6769, 825, 1820, 2891, 2005, 781, 513, 32077, 639, 14744, 19197, 5011, 2652, 476, 277, 6769, 825, 1820, 2891, 2005, 781, 513, 15279, 6782, 14744, 19197, 5011, 2652, 476, 278, 6769, 825, 1820, 2891, 2005, 781, 606, 552, 696, 6782, 14744, 19197, 5011, 2652, 476, 279, 6769, 825, 1820, 2891, 2005, 781, 606, 12354, 6782, 14744, 19197, 5011, 2652, 476, 280, 6769, 825, 1820, 2891, 2005, 781, 513, 1875, 6782, 14744, 19197, 5011, 2652, 476, 1015, 6769, 825, 1820, 2891, 2005, 781, 513, 1232, 6782, 14744, 12828, 6769, 672, 1820, 2891, 2005, 781, 711, 4570, 269, 23453, 513, 1871, 1063, 610, 3160, 547, 476, 274, 543, 476, 1015, 14744, 672, 14827, 14052, 672, 5897, 19930, 1477, 0, 332, 1725, 3363, 815, 10581, 9272, 2891, 11767, 519, 9588, 281, 834, 264, 10142, 604, 9588, 2999, 476, 273, 6769, 825, 1820, 2891, 763, 13091, 568, 2890, 1701, 3418, 19197, 476, 273, 10922, 9588, 2999, 476, 274, 6769, 825, 1820, 2891, 763, 13091, 568, 1360, 5634, 1701, 3418, 19197, 476, 274, 10922, 9588, 2999, 476, 275, 6769, 825, 1820, 2891, 763, 13091, 568, 5634, 1701, 3418, 19197, 476, 275, 10922, 9588, 2999, 476, 276, 6769, 825, 1820, 2891, 763, 13091, 568, 1769, 1701, 3418, 19197, 476, 276, 10922, 9588, 2999, 476, 277, 6769, 825, 1820, 2891, 763, 13091, 568, 9793, 1701, 3418, 19197, 476, 277, 10922, 9588, 2999, 476, 278, 6769, 825, 1820, 2891, 763, 13091, 568, 2178, 1701, 3418, 19197, 476, 278, 10922, 9588, 2999, 476, 279, 6769, 825, 1820, 2891, 763, 13091, 568, 2101, 1701, 3418, 19197, 476, 279, 10922, 9588, 2999, 476, 1015, 6769, 825, 1820, 2891, 763, 13091, 568, 1390, 1701, 3418, 19197, 9588, 13843, 476, 1015, 6769, 825, 1820, 2891, 763, 13091, 568, 1558, 324, 7595, 1701, 3418, 0, 19399, 1012, 1477, 18257, 1477, 10112, 9892, 476, 274, 8382, 28220, 5897, 10817, 12011, 836, 12390, 1477, 18257, 1477, 19399, 1012, 5897, 1012, 1627, 276, 320, 6769, 5228, 2979, 1104, 2144, 325, 322, 267, 21762, 5897, 258, 649, 12337, 519, 4745, 5506, 1477, 22238, 318, 1326, 288, 815, 2144, 325, 322, 263, 273, 269, 279, 4882, 5720, 263, 273, 4297, 1948, 519, 3830, 547, 12337, 2625, 8494, 1399, 540, 2680, 589, 1477, 22238, 318, 1326, 289, 815, 2144, 325, 322, 263, 275, 269, 272, 4882, 5720, 263, 273, 4297, 1948, 2147, 585, 2680, 645, 5897, 22238, 19553, 2002, 815, 2625, 318, 1326, 288, 265, 22238, 318, 1326, 289, 1948, 2094, 1079, 2621, 616, 4830, 267, 1477, 14030, 1948, 476, 649, 3274, 4573, 17586, 873, 547, 1265, 4755, 547, 326, 996, 1477, 2745, 1412, 329, 2002, 5506, 568, 3299, 2625, 19553, 2002, 1477, 258, 1284, 9258, 519, 3830, 547, 1265, 4644, 5897, 258, 263, 24709, 476, 272, 281, 946, 8520, 547, 1265, 519, 4644, 3418, 19587, 815, 476, 271, 269, 1822, 272, 476, 1948, 1450, 30918, 1889, 547, 723, 930, 5470, 1477, 11687, 19553, 2002, 815, 476, 273, 269, 271, 265, 19587, 1341, 2625, 19553, 2002, 1948, 3355, 513, 1871, 23228, 18406, 19553, 2002, 815, 476, 271, 269, 271, 1477, 6112, 2612, 6025, 652, 19553, 2002, 910, 2625, 19553, 2002, 264, 3436, 5470, 6769, 825, 1449, 19553, 2002, 815, 2144, 325, 322, 4433, 7950, 19553, 2002, 4882, 5720, 263, 273, 269, 271, 17903, 825, 29178, 19553, 2002, 6834, 476, 271, 269, 9826, 5897, 2745, 1412, 297, 2002, 19043, 568, 3299, 29178, 19553, 2002, 12361, 649, 21645, 991, 547, 9062, 3063, 21762, 263, 273, 264, 1934, 269, 5897, 258, 263, 24709, 476, 273, 281, 2047, 946, 11201, 1599, 3418, 5228, 1085, 27251, 4732, 2133, 1104, 2144, 325, 11142, 341, 5897, 18406, 19553, 2002, 815, 2144, 325, 11142, 341, 263, 22238, 19553, 2002, 12684, 6912, 263, 273, 3418, 2745, 1412, 297, 2002, 19043, 568, 3299, 29178, 19553, 2002, 1477, 24541, 1012, 1627, 276, 321, 6769, 5228, 2979, 1104, 2144, 325, 322, 267, 21762, 5897, 258, 1265, 519, 2625, 540, 3478, 513, 2582, 2680, 21506, 22238, 318, 1326, 272, 815, 2144, 325, 322, 263, 274, 269, 276, 4882, 5720, 263, 273, 264, 10142, 258, 2016, 476, 274, 269, 276, 568, 519, 5207, 4644, 267, 782, 1866, 616, 2539, 982, 476, 274, 269, 276, 267, 1477, 258, 799, 1797, 723, 2362, 5506, 540, 8345, 269, 5897, 258, 606, 5580, 3808, 1131, 581, 782, 1866, 723, 29178, 815, 476, 271, 630, 3698, 17802, 4755, 3418, 21639, 10734, 895, 815, 2625, 318, 1326, 272, 2608, 630, 518, 325, 322, 263, 271, 264, 2878, 476, 278, 264, 2608, 476, 279, 1948, 2608, 279, 1317, 972, 616, 476, 279, 6901, 1477, 14030, 17264, 1948, 543, 1142, 540, 873, 1223, 581, 476, 274, 269, 276, 4644, 5897, 258, 606, 2539, 3808, 1131, 581, 782, 1866, 723, 29178, 815, 476, 274, 269, 276, 1477, 12294, 10734, 895, 815, 2625, 318, 1326, 272, 2878, 476, 279, 2608, 476, 272, 1948, 972, 568, 1152, 476, 272, 2013, 1141, 782, 29178, 815, 274, 269, 276, 5897, 258, 1287, 795, 2224, 519, 1599, 538, 1627, 276, 320, 547, 12337, 519, 29178, 23228, 18406, 318, 21639, 10734, 895, 815, 2144, 325, 11142, 341, 263, 21639, 10734, 895, 12684, 6912, 263, 273, 3418, 18406, 318, 12294, 10734, 895, 815, 2144, 325, 11142, 341, 263, 12294, 10734, 895, 12684, 6912, 263, 273, 3418, 2745, 1412, 279, 6901, 723, 1034, 3299, 29178, 318, 21639, 10734, 895, 267, 24003, 18406, 2698, 4644, 12887, 17647, 2547, 3299, 18406, 318, 12294, 10734, 895, 10086, 265, 18406, 2698, 4644, 262, 24653, 1012, 1627, 277, 320, 6769, 5228, 11885, 1104, 4452, 339, 868, 1948, 946, 713, 547, 1104, 5897, 11907, 815, 4452, 339, 868, 3488, 11687, 11907, 318, 26211, 17902, 20298, 11907, 815, 1496, 15615, 3287, 264, 585, 1535, 538, 1239, 316, 1948, 1202, 675, 602, 3388, 538, 1239, 568, 10581, 1297, 269, 5897, 258, 1265, 1611, 543, 13065, 6769, 11743, 815, 2040, 16597, 8358, 6352, 16597, 10142, 19702, 766, 815, 476, 271, 1477, 1721, 1535, 538, 1239, 6769, 825, 13065, 6834, 630, 343, 268, 11743, 264, 2878, 476, 273, 1477, 19702, 766, 815, 13065, 1315, 6352, 16597, 10142, 2745, 1412, 1492, 1611, 543, 1083, 1734, 616, 3299, 11743, 267, 19702, 766, 5897, 258, 4729, 543, 1397, 519, 1239, 6769, 5228, 28894, 629, 1104, 1277, 267, 4688, 14808, 5897, 7290, 16597, 3418, 338, 1511, 14808, 3488, 29664, 26666, 262, 10142, 1012, 304, 277, 321, 22698, 28504, 6769, 258, 28582, 547, 1627, 277, 513, 585, 18287, 783, 1154, 1919, 267, 1477, 258, 476, 519, 1739, 568, 875, 596, 4020, 519, 1239, 281, 5897, 258, 1101, 946, 519, 2025, 1239, 6769, 11907, 815, 4452, 339, 868, 3488, 11687, 11907, 318, 26211, 17902, 20298, 11907, 815, 1496, 15615, 3287, 264, 585, 1535, 538, 1239, 316, 476, 5897, 258, 1631, 13071, 2161, 649, 616, 538, 1627, 277, 322, 2013, 267, 1477, 28256, 921, 12774, 815, 32582, 1948, 3355, 606, 8900, 1592, 1477, 1721, 1775, 538, 2039, 12759, 16597, 264, 8029, 825, 585, 795, 538, 2039, 12759, 16597, 264, 8029, 1038, 585, 737, 538, 2039, 12759, 16597, 264, 8029, 2018, 952, 1775, 2525, 329, 2525, 330, 6769, 3546, 3136, 1477, 2018, 17784, 12774, 6910, 9230, 11907, 5157, 27994, 11907, 14728, 27994, 11907, 25208, 8079, 270, 274, 269, 271, 3418, 258, 1631, 596, 1058, 723, 513, 1434, 1239, 547, 5173, 7154, 543, 13065, 543, 3113, 269, 24653, 1012, 1627, 277, 324, 6769, 258, 630, 5228, 2875, 2626, 267, 946, 1510, 2278, 1125, 23228, 258, 567, 786, 581, 6569, 20471, 269, 10142, 5228, 11885, 1104, 818, 1052, 267, 4452, 339, 868, 1477, 5228, 28894, 629, 1104, 1277, 267, 4688, 14808, 1477, 5228, 21267, 28272, 1104, 4729, 267, 1397, 267, 586, 16932, 267, 1535, 16932, 267, 2140, 1477, 323, 21648, 564, 815, 4452, 339, 868, 2891, 11687, 11907, 318, 26211, 17902, 14744, 258, 6748, 2418, 689, 3105, 8062, 1477, 12534, 8104, 284, 26801, 269, 279, 866, 26783, 4281, 273, 1948, 19702, 766, 689, 3312, 3892, 1477, 12534, 273, 284, 12208, 269, 2004, 277, 6507, 273, 28803, 1948, 19702, 766, 689, 19011, 1645, 1169, 6292, 540, 476, 273, 1477, 12534, 274, 284, 7761, 269, 14093, 4962, 278, 30663, 277, 1948, 19702, 766, 689, 19011, 1645, 1169, 6292, 540, 476, 274, 1477, 12534, 275, 284, 7367, 269, 27768, 275, 4281, 276, 5379, 273, 1948, 19702, 766, 689, 19011, 1645, 1169, 6292, 540, 476, 275, 1477, 7120, 263, 272, 269, 271, 267, 12534, 8104, 2437, 2692, 14744, 7120, 263, 273, 269, 271, 267, 12534, 273, 2437, 2692, 14744, 7120, 263, 274, 269, 271, 267, 12534, 274, 2437, 2692, 14744, 7120, 263, 275, 269, 271, 267, 12534, 275, 2437, 2692, 14744, 258, 7120, 1154, 3069, 1477, 3698, 3069, 19702, 766, 3287, 8029, 825, 512, 284, 15254, 8104, 24474, 1477, 825, 2132, 512, 5897, 343, 815, 818, 1052, 263, 272, 267, 276, 267, 271, 269, 272, 3418, 344, 815, 3069, 19702, 766, 3287, 3418, 27583, 2891, 24868, 766, 5288, 623, 4202, 589, 591, 3042, 14744, 29786, 2891, 24868, 766, 14744, 343, 16932, 2891, 303, 4202, 589, 591, 3042, 14744, 7120, 3287, 11971, 2437, 337, 14744, 338, 1511, 14808, 3488, 29664, 26666, 262, 10142, 2745, 834, 13433, 267, 519, 2798, 267, 13890, 538, 4544, 267, 1246, 519, 4397, 2623, 267, 13890, 538, 2699, 267, 540, 1298, 531, 3970, 3069, 29177 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 686, 651, 538, 918, 663, 1695, 541, 11662, 593, 14349, 1310, 606, 2011, 7615, 1031, 676, 2475, 4229, 3357, 896, 968, 785, 1311, 3595, 1848, 898, 779, 15458, 945, 729, 3743, 585, 602, 9940, 3595, 855, 2016, 602, 621, 3576, 1747, 538, 519, 14191, 3364, 519, 13669, 28063, 814, 547, 513, 1753, 11662, 8458, 616, 621, 729, 873, 269, 1809, 2436, 602, 6920, 789, 4076, 4956, 547, 1376, 22215, 2475, 4108, 10986, 1631, 602, 519, 2904, 476, 272, 15639, 21120, 814, 5293, 568, 15458, 563, 866, 267, 280, 866, 267, 278, 1428, 9672, 2665, 22791, 24907, 267, 4962, 280, 994, 25908, 267, 280, 3393, 4080, 28896, 22791, 31079, 273, 994, 19328, 779, 15194, 32038, 10620, 5984, 3967, 1092, 9549, 5526, 547, 723, 4465, 12341, 538, 519, 8378, 540, 476, 3199, 16295, 538, 519, 4639, 19377, 1533, 15424, 9550, 602, 11943, 593, 13628, 269, 2334, 779, 15186, 7864, 982, 519, 476, 9873, 610, 865, 16295, 2038, 14827, 1135, 1782, 8612, 519, 5428, 1185, 4465, 267, 543, 621, 568, 20248, 513, 14710, 538, 602, 645, 297, 303, 786, 581, 538, 519, 11685, 538, 519, 1007, 1533, 10198, 269, 1809, 621, 779, 849, 14320, 811, 982, 519, 476, 3374, 16295, 519, 5428, 6417, 16144, 883, 713, 8917, 543, 2731, 14320, 811, 982, 519, 1614, 16295, 621, 4465, 538, 519, 2063, 2407, 1533, 9550, 538, 476, 1001, 277, 269, 1656, 519, 5428, 4503, 547, 519, 2353, 3127, 2558, 514, 600, 944, 6837, 267, 799, 568, 10416, 513, 15622, 8932, 6237, 5428, 602, 814, 2370, 7555, 25422, 269, 1924, 11008, 1944, 713, 1267, 607, 513, 1129, 602, 645, 297, 303, 568, 9561, 1022, 540, 922, 2949, 588, 1155, 568, 4440, 22801, 563, 16318, 267, 279, 4343, 9672, 2665, 22791, 278, 994, 17168, 280, 4080, 28896, 22791, 271, 994, 293, 3306, 4550, 18191, 2863, 320, 17600, 593, 10732, 16668, 513, 8325, 3210, 689, 27060, 3354, 4229, 267, 945, 27333, 7166, 693, 2547, 2947, 1004, 538, 23405, 538, 693, 2547, 2185, 10034, 269, 634, 17600, 3459, 593, 14349, 267, 16287, 1614, 3275, 2094, 519, 519, 19420, 602, 8704, 519, 795, 2863, 320, 538, 1379, 267, 543, 3357, 8015, 9642, 5359, 540, 2789, 30762, 538, 519, 2749, 540, 18708, 517, 269, 7183, 540, 1346, 1025, 6814, 4667, 547, 723, 1044, 3226, 1804, 543, 972, 779, 1044, 1100, 1867, 540, 1022, 25096, 4611, 689, 873, 563, 5591, 9672, 2665, 454, 16914, 6748, 519, 24068, 7245, 540, 3843, 547, 3382, 909, 968, 10676, 850, 6411, 2223, 519, 3345, 11114, 2229, 2746, 539, 609, 30891, 593, 10732, 547, 11016, 779, 5359, 602, 519, 7245, 729, 3168, 547, 1964, 691, 23372, 609, 12877, 784, 344, 836, 593, 513, 1447, 968, 718, 610, 4986, 892, 4493, 982, 519, 11686, 7245, 779, 1935, 269, 898, 779, 711, 602, 519, 3345, 6401, 753, 616, 10353, 547, 519, 1900, 16519, 9912, 1935, 519, 7245, 6700, 621, 6499, 547, 11654, 269, 898, 779, 811, 602, 789, 3100, 547, 723, 1044, 1055, 2105, 630, 528, 616, 5910, 2056, 547, 723, 1044, 1055, 2105, 264, 676, 1893, 15608, 24068, 5128, 1031, 538, 1010, 968, 10673, 1406, 11910, 898, 589, 3557, 2986, 634, 5742, 892, 17372, 547, 6837, 593, 13723, 269, 24068, 6353, 3345, 9705, 779, 6046, 9604, 1982, 607, 968, 320, 3978, 3463, 547, 3013, 781, 3354, 543, 1158, 3354, 2223, 2236, 2084, 519, 3345, 11114, 14579, 12080, 16363, 513, 968, 15927, 1025, 8974, 1848, 634, 18591, 849, 3081, 621, 779, 3144, 25213, 547, 2475, 20116, 827, 3345, 9705, 779, 1480, 2924, 2594, 269, 6787, 713, 9356, 9758, 10845, 593, 12877, 784, 344, 836, 779, 851, 610, 568, 3274, 513, 1259, 547, 7196, 856, 513, 2990, 1354, 621, 556, 1263, 1137, 609, 6115, 3788, 547, 581, 2938, 563, 30589, 272, 9672, 2665, 22791, 2420, 994, 4489, 4080, 28896, 22791, 271, 994, 4462, 4385, 31487, 5605, 19813, 606, 7952, 29862, 538, 27623, 20997, 779, 570, 1695, 537, 320, 11662, 593, 14349, 267, 11318, 693, 2547, 476, 1626, 7980, 543, 10138, 532, 3670, 811, 269, 1703, 779, 1044, 1100, 3409, 540, 5539, 269, 634, 9099, 3557, 814, 606, 3742, 24988, 538, 27623, 20997, 855, 519, 3148, 849, 3006, 12034, 21383, 1478, 689, 519, 6512, 527, 787, 602, 779, 19856, 656, 2066, 519, 8473, 538, 32720, 13280, 563, 13679, 267, 14631, 9672, 2665, 22791, 6246, 994, 18684, 274, 4080, 28896, 22791, 271, 994, 11854, 1136, 540, 799, 267, 835, 540, 519, 1034, 7986, 6512, 527, 3401, 538, 32720, 13280, 729, 15151, 7166, 593, 11016, 267, 2059, 609, 2185, 824, 2818, 540, 1010, 14228, 267, 538, 513, 32692, 609, 513, 15180, 14228, 538, 2098, 600, 325, 4673, 1533, 269, 634, 6512, 527, 267, 589, 2346, 531, 684, 667, 7596, 11867, 267, 1185, 1044, 3226, 3742, 538, 32043, 6260, 543, 729, 3743, 585, 705, 2265, 532, 7366, 540, 1053, 689, 6554, 3163, 18520, 3427, 918, 1678, 4673, 1394, 538, 5412, 269, 1261, 8910, 849, 19500, 607, 606, 7916, 31066, 585, 795, 8811, 611, 1235, 538, 27040, 13280, 267, 25786, 6455, 540, 519, 9604, 789, 25868, 689, 30645, 3354, 4229, 547, 7803, 14228, 338, 538, 519, 22070, 269, 1261, 1185, 15151, 5249, 856, 513, 4308, 547, 21704, 1010, 7916, 538, 2132, 585, 993, 333, 17965, 1394, 538, 5988, 267, 855, 2663, 556, 928, 3022, 563, 26576, 545, 3557, 25881, 16091, 1079, 4108, 13279, 538, 27040, 13280, 779, 18004, 334, 1533, 936, 519, 15964, 630, 821, 3735, 14349, 543, 519, 824, 2038, 10732, 1070, 11318, 693, 2547, 5216, 1004, 5916, 269, 634, 31487, 27333, 9141, 1055, 593, 14349, 855, 941, 811, 3811, 538, 741, 10732, 6640, 4674, 267, 936, 337, 7342, 519, 9744, 543, 1818, 1055, 609, 9604, 543, 824, 3937, 563, 4366, 273, 279, 9672, 2665, 22791, 275, 994, 10204, 4080, 28896, 22791, 271, 994, 2419, 611, 779, 15194, 4108, 795, 2863, 320, 30792, 513, 2407, 27139, 22277, 593, 10732, 267, 1519, 1896, 2818, 540, 519, 2197, 779, 2797, 11685, 538, 14012, 658, 9708, 269, 6736, 922, 3646, 547, 2322, 513, 19742, 3068, 593, 1018, 568, 1869, 21739, 513, 4108, 2229, 267, 4440, 547, 4300, 848, 5375, 24319, 267, 972, 779, 1100, 16315, 602, 713, 27139, 22277, 568, 2469, 547, 723, 1022, 1483, 6392, 610, 602, 621, 4465, 1406, 1827, 7357, 693, 519, 581, 4554, 540, 519, 795, 2863, 320, 269, 29594, 532, 547, 5571, 17600, 1996, 519, 791, 3789, 540, 4108, 4341, 543, 519, 8429, 540, 6392, 689, 5449, 5518, 16740, 337, 1170, 667, 2946, 2421, 547, 1010, 5067, 267, 10067, 600, 520, 267, 932, 6598, 3354, 4229, 20754, 693, 2547, 2185, 1004, 538, 519, 7013, 4884, 540, 7203, 327, 593, 14349, 563, 763, 932, 6598, 7952, 849, 3081, 621, 779, 11173, 547, 4308, 5230, 3441, 547, 519, 31111, 13571, 585, 7827, 543, 19270, 867, 538, 932, 611, 630, 293, 16898, 264, 1895, 538, 519, 7187, 4884, 540, 715, 758, 537, 269, 634, 4108, 6811, 621, 779, 7166, 968, 327, 4348, 338, 892, 540, 674, 16898, 25881, 538, 2487, 2395, 267, 855, 1759, 593, 3105, 9193, 540, 519, 31111, 1895, 779, 2450, 630, 704, 4257, 607, 1082, 607, 476, 1220, 271, 25881, 1070, 891, 6811, 3100, 27105, 269, 2311, 602, 2450, 267, 952, 932, 6598, 4229, 1185, 2731, 7166, 968, 327, 4348, 338, 892, 540, 674, 16898, 779, 25881, 267, 621, 779, 12691, 519, 1895, 1131, 1869, 581, 2111, 547, 2322, 606, 7952, 538, 519, 2361, 563, 28670, 267, 29575, 9672, 2665, 22791, 27088, 994, 4391, 273, 277, 4080, 28896, 22791, 1704, 994, 4263, 2547, 476, 2641, 1004, 941, 7166, 538, 1079, 6285, 538, 18629, 593, 11016, 269, 634, 3677, 10071, 3238, 606, 4323, 593, 513, 1668, 538, 519, 2549, 327, 4673, 3148, 267, 799, 15337, 1014, 8128, 15151, 3494, 729, 5645, 856, 676, 519, 744, 668, 334, 8644, 3130, 13571, 4149, 515, 928, 17740, 807, 269, 31105, 619, 6569, 476, 1428, 1004, 689, 519, 1668, 543, 7166, 873, 269, 6271, 3670, 1004, 941, 7166, 543, 741, 4703, 14616, 538, 606, 10071, 538, 519, 5484, 577, 2701, 14150, 7997, 540, 18629, 779, 8828, 8315, 267, 2817, 885, 267, 543, 24447, 685, 3148, 269, 634, 6381, 540, 519, 8545, 4323, 3100, 15458, 269, 634, 15337, 1014, 2229, 267, 29285, 267, 9307, 602, 621, 779, 4946, 744, 299, 293, 4149, 515, 928, 543, 519, 570, 580, 2001, 4658, 779, 8644, 3130, 13571, 547, 922, 1592, 540, 22681, 2516, 269, 2334, 25084, 786, 1118, 621, 4443, 585, 8128, 547, 10654, 16143, 18793, 540, 1312, 2516, 267, 1498, 547, 581, 4023, 621, 779, 711, 899, 519, 2229, 814, 1185, 1454, 8373, 24263, 909, 570, 580, 2001, 753, 15034, 540, 25380, 519, 570, 12195, 293, 563, 1724, 267, 280, 1428, 9672, 2665, 22791, 271, 994, 278, 1724, 4080, 28896, 22791, 271, 994, 763, 24622, 8932, 14618, 20366, 796, 29434, 3585, 593, 14349, 547, 11324, 785, 513, 5892, 5293, 2268, 14178, 5518, 15011, 3139, 19869, 31608, 328, 15011, 3139, 779, 2165, 585, 1776, 1079, 1296, 269, 15011, 3139, 1572, 585, 713, 1847, 538, 513, 4633, 4505, 538, 519, 3018, 3045, 23395, 602, 646, 1131, 3479, 547, 8066, 513, 1007, 9550, 607, 513, 1259, 547, 3802, 28950, 807, 1394, 689, 519, 1490, 1074, 540, 1018, 729, 4358, 547, 1413, 899, 513, 1007, 3540, 2112, 269, 1261, 779, 8815, 547, 2322, 11788, 10579, 15011, 3139, 26036, 572, 514, 7605, 548, 538, 5279, 540, 12180, 602, 9550, 267, 1498, 602, 779, 2693, 547, 581, 4443, 1767, 982, 2944, 563, 291, 4932, 8016, 6938, 12087, 29187, 308, 13993, 2975, 5508, 5990, 12164, 32271, 454, 3066, 267, 280, 4792, 9672, 2665, 22791, 8618, 994, 278, 6924, 4080, 28896, 22791, 271, 994, 4462, 4385, 7784, 5443, 8929, 543, 7166, 2701, 16554, 18498, 589, 2381, 772, 628, 2006, 267, 519, 6205, 540, 519, 7332, 2146, 538, 519, 9456, 5556, 565, 3150, 2749, 540, 5484, 328, 267, 1282, 10543, 19001, 593, 14349, 269, 898, 779, 1360, 2693, 713, 4323, 729, 5645, 856, 676, 519, 9099, 3557, 268, 3530, 559, 7007, 20466, 14891, 17086, 17740, 807, 267, 1498, 607, 2484, 607, 594, 917, 972, 779, 1044, 1100, 3409, 540, 5539, 607, 2943, 269, 12246, 4624, 5084, 293, 25881, 1185, 2907, 7166, 693, 2547, 476, 866, 1004, 538, 519, 3148, 538, 513, 3126, 540, 6285, 936, 519, 3105, 1896, 2395, 269, 634, 5556, 565, 3150, 2229, 593, 11016, 10294, 513, 968, 8063, 540, 26362, 892, 538, 898, 19441, 543, 3345, 918, 643, 340, 16899, 267, 538, 1804, 851, 936, 519, 5084, 293, 779, 5571, 5859, 538, 602, 3148, 269, 2334, 17083, 1223, 1095, 720, 513, 6793, 4108, 3210, 267, 1498, 5556, 565, 3150, 8128, 723, 6836, 602, 4990, 540, 3364, 1354, 547, 2370, 610, 1256, 2942, 1198, 563, 28147, 267, 3707, 9672, 2665, 22791, 4097, 279, 994, 1626, 267, 5392, 273, 4080, 28896, 22791, 4366, 994, 299, 13806, 21868, 17037, 538, 31697, 786, 1205, 547, 979, 547, 519, 1135, 3149, 1454, 4505, 982, 9709, 267, 607, 12909, 593, 8108, 513, 1007, 2324, 2229, 25540, 585, 1434, 936, 519, 15964, 269, 11788, 10579, 15196, 14150, 16907, 529, 810, 341, 779, 717, 2207, 289, 5428, 267, 799, 4465, 2063, 3923, 779, 9550, 855, 4503, 16295, 2949, 543, 8737, 1134, 2110, 540, 513, 5354, 267, 6836, 543, 8959, 547, 1106, 513, 22687, 267, 1256, 1310, 16907, 529, 810, 341, 5128, 6035, 547, 1900, 11735, 607, 6751, 269, 634, 968, 2467, 1772, 6270, 513, 4658, 892, 5428, 267, 3366, 676, 28910, 23577, 328, 2558, 604, 517, 990, 267, 1287, 3893, 513, 11523, 855, 729, 13974, 8572, 547, 1106, 513, 2229, 269, 31697, 779, 31012, 9549, 1287, 1500, 513, 1483, 1279, 8929, 19915, 693, 8380, 513, 2229, 1927, 267, 543, 922, 5821, 936, 519, 15964, 814, 2693, 15427, 513, 26882, 9550, 267, 799, 786, 4440, 1491, 1747, 538, 5147, 563, 273, 267, 8660, 274, 267, 277, 4649, 9672, 2665, 22791, 1428, 267, 3445, 280, 994, 10619, 267, 10384, 4080, 28896, 22791, 4366, 276, 994, 8624, 4861, 2103, 5828, 856, 676, 519, 5215, 593, 14349, 547, 1665, 4139, 20709, 685, 4303, 609, 513, 8772, 2786, 1554, 540, 17600, 1996, 5518, 594, 341, 17505, 13660, 4302, 779, 6069, 3454, 15024, 269, 2311, 2547, 3670, 1004, 723, 1044, 7166, 538, 1346, 17600, 865, 2484, 630, 652, 23660, 540, 519, 1297, 7166, 4268, 4922, 543, 930, 10645, 7972, 616, 15151, 1869, 1373, 11567, 1070, 543, 8464, 540, 1004, 723, 1044, 13676, 269, 13660, 4302, 814, 12628, 930, 540, 519, 6963, 4674, 779, 1034, 1843, 542, 762, 3344, 267, 1519, 6069, 6455, 9204, 593, 1426, 543, 20848, 267, 855, 519, 23405, 1397, 1100, 1129, 540, 705, 908, 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 ]
[ 689, 711, 2348, 519, 1379, 547, 1689, 610, 2981, 519, 1062, 267, 17259, 998, 3318, 1646, 11876, 3591, 543, 689, 3450, 547, 4255, 602, 798, 711, 2992, 2875, 1565, 3079, 1491, 2476, 6209, 2069, 942, 563, 268, 769, 324, 24351, 281, 513, 2631, 540, 4742, 23696, 543, 22424, 564, 550, 693, 519, 2816, 563, 268, 1401, 9151, 542, 281, 1312, 9308, 543, 15508, 267, 607, 7855, 3111, 547, 4309, 7850, 3207, 630, 560, 11691, 909, 782, 3781, 21249, 264, 543, 3112, 3100, 547, 3142, 827, 1022, 1689, 538, 519, 1062, 630, 30700, 4093, 267, 13387, 4255, 1070, 543, 5555, 7142, 547, 7747, 519, 1482, 2042, 1404, 856, 936, 543, 936, 1586, 563, 268, 8447, 2175, 281, 2597, 2744, 267, 2597, 2530, 267, 3207, 22975, 543, 824, 2168, 2175, 2404, 609, 936, 1740, 543, 2566, 563, 268, 13262, 281, 31827, 689, 11566, 267, 5571, 16625, 4928, 2152, 267, 3668, 540, 1582, 13282, 267, 3668, 540, 1489, 543, 9027, 725, 3610, 798, 711, 1745, 2111, 547, 2743, 689, 3237, 267, 7245, 267, 543, 4255, 454, 268, 1133, 995, 15640, 618, 281, 513, 2631, 540, 796, 995, 15640, 618, 538, 960, 267, 18233, 13050, 676, 11566, 10239, 540, 21249, 267, 29287, 11401, 543, 606, 11972, 15093, 540, 2123, 942, 454, 2005, 3085, 1406, 2731, 991, 547, 581, 1767, 602, 713, 1533, 568, 16160, 547, 782, 1107, 3610, 267, 1053, 267, 2385, 779, 7245, 267, 543, 547, 519, 9769, 607, 513, 2898, 269, 1924, 267, 952, 811, 982, 835, 540, 891, 2589, 3280, 5432, 547, 596, 267, 972, 568, 513, 1164, 10171, 602, 596, 616, 10010, 609, 4116, 25794, 563, 30108, 22210, 719, 10803, 454, 30108, 25794, 568, 711, 8806, 930, 30650, 599, 1966, 267, 2901, 282, 621, 568, 1259, 811, 982, 519, 2984, 649, 5873, 689, 9164, 543, 2828, 267, 543, 1256, 689, 519, 1053, 7247, 621, 5540, 269, 901, 2783, 568, 973, 17660, 909, 676, 1360, 771, 638, 2884, 532, 543, 1360, 7194, 563, 6097, 547, 519, 19137, 585, 20056, 550, 4065, 267, 10199, 3368, 513, 2929, 1977, 7855, 2901, 4734, 610, 1847, 741, 3924, 1169, 1032, 543, 8591, 602, 713, 538, 1495, 566, 540, 1140, 761, 542, 538, 1410, 2364, 2406, 5540, 1164, 1790, 20191, 4081, 32112, 269, 5015, 267, 621, 3790, 519, 2197, 811, 982, 1079, 5479, 9489, 1142, 1032, 1107, 606, 813, 16226, 4137, 950, 12946, 538, 2247, 519, 6578, 2110, 17517, 602, 723, 2907, 12735, 4240, 1857, 3506, 267, 3226, 5538, 17331, 538, 519, 3068, 540, 20387, 27350, 563, 4415, 513, 2929, 811, 1053, 10024, 519, 1062, 1063, 519, 1296, 476, 1220, 279, 543, 476, 1001, 277, 543, 476, 271, 269, 276, 2929, 3610, 882, 20814, 610, 6028, 1169, 1032, 267, 519, 2179, 540, 17522, 543, 669, 1248, 568, 11999, 563, 4407, 519, 1419, 2275, 1243, 18802, 602, 476, 2004, 2600, 540, 3610, 16718, 1369, 741, 1101, 2947, 1296, 568, 25619, 267, 513, 18960, 1353, 10887, 602, 519, 4137, 18795, 1472, 476, 1704, 2600, 269, 2334, 568, 3592, 835, 1922, 604, 628, 540, 519, 3003, 13781, 1107, 513, 4137, 602, 666, 2760, 581, 23304, 12023, 8015, 9750, 4928, 7306, 543, 7836, 11912, 563, 19013, 267, 519, 1439, 540, 513, 17890, 4876, 568, 1259, 2484, 689, 519, 1034, 1455, 2014, 540, 7855, 6028, 519, 3924, 269, 4340, 547, 513, 4804, 8889, 4659, 1867, 267, 1472, 476, 3445, 2600, 540, 519, 2197, 4204, 21496, 3747, 585, 3610, 568, 3812, 950, 789, 4734, 519, 3924, 267, 609, 1079, 22188, 540, 7855, 6028, 585, 3123, 824, 982, 16468, 269, 2037, 7609, 532, 538, 713, 13525, 568, 849, 519, 1249, 602, 11926, 1153, 3747, 568, 711, 1018, 568, 4929, 519, 17732, 281, 621, 568, 4116, 25794, 563, 11101, 267, 519, 1867, 849, 7150, 602, 24826, 3928, 616, 912, 268, 476, 2004, 2600, 3152, 538, 7170, 594, 3506, 454, 268, 476, 3583, 2600, 2362, 585, 2257, 543, 2979, 3610, 538, 7170, 594, 3506, 454, 268, 476, 3199, 2600, 3152, 585, 4244, 569, 14468, 3610, 538, 7170, 594, 3506, 454, 2252, 891, 4116, 25794, 7194, 5968, 4376, 547, 721, 267, 621, 568, 602, 519, 3390, 568, 811, 7525, 982, 1082, 2043, 1131, 899, 547, 3494, 563, 1432, 15486, 11819, 22210, 719, 888, 6097, 547, 513, 476, 1708, 271, 1353, 1644, 547, 4116, 25794, 267, 519, 2014, 540, 4116, 25794, 1522, 581, 1813, 547, 835, 540, 519, 1739, 4128, 912, 268, 13834, 281, 21058, 16929, 616, 811, 2693, 547, 979, 998, 3768, 826, 5666, 540, 2566, 693, 960, 267, 6466, 5256, 16929, 616, 811, 2693, 547, 1995, 4606, 540, 524, 2106, 6291, 563, 268, 6103, 1377, 281, 7981, 2069, 7855, 1995, 4116, 25794, 811, 1419, 982, 1641, 610, 3119, 3610, 563, 268, 13012, 540, 1995, 281, 11334, 538, 741, 2038, 5123, 540, 519, 4876, 616, 811, 2693, 547, 1995, 25794, 267, 5310, 1813, 547, 3668, 540, 3450, 1995, 610, 2500, 4928, 2359, 2553, 563, 1103, 1840, 267, 1776, 1382, 585, 519, 4750, 585, 4317, 543, 19884, 7070, 2829, 602, 519, 3123, 540, 4116, 25794, 666, 581, 5258, 883, 1079, 3376, 6688, 281, 6848, 543, 2825, 2188, 563, 306, 1539, 13926, 2188, 4125, 912, 268, 6778, 532, 7569, 609, 8195, 4389, 7616, 281, 607, 4081, 5238, 3068, 3152, 6578, 11912, 282, 7855, 616, 5051, 18796, 547, 798, 811, 609, 1447, 563, 268, 661, 12509, 540, 1489, 585, 3610, 543, 1857, 2463, 281, 7855, 1419, 2119, 547, 798, 741, 1655, 693, 513, 1360, 2182, 2816, 267, 855, 782, 519, 1247, 1373, 5143, 676, 1004, 602, 4896, 666, 798, 741, 2816, 267, 543, 849, 602, 1034, 2043, 666, 798, 621, 1732, 982, 873, 282, 713, 568, 2356, 1360, 1629, 7394, 1944, 563, 20245, 2188, 4125, 912, 268, 4518, 20358, 281, 16929, 616, 25461, 609, 3063, 960, 602, 789, 3112, 7654, 2347, 1282, 741, 3339, 960, 3108, 563, 268, 2549, 15927, 8462, 543, 1909, 4655, 281, 16984, 616, 2356, 22394, 593, 1018, 4010, 568, 17191, 540, 3610, 267, 543, 1896, 7855, 1745, 606, 796, 4944, 7505, 10279, 547, 798, 811, 563, 268, 18648, 4928, 2916, 281, 1142, 1554, 267, 7855, 3068, 1167, 712, 974, 748, 1053, 543, 4061, 6560, 547, 1265, 7059, 4928, 2359, 609, 6044, 563, 268, 8899, 14057, 281, 3450, 20443, 569, 2306, 621, 547, 519, 1592, 540, 9803, 9878, 6009, 602, 8078, 525, 513, 2852, 4110, 563, 268, 9741, 1489, 689, 9905, 543, 2706, 12542, 281, 2705, 267, 713, 3884, 1406, 519, 2013, 585, 1169, 4116, 543, 538, 1169, 1153, 267, 855, 950, 713, 568, 519, 2013, 267, 621, 666, 1291, 606, 19829, 547, 1745, 796, 1952, 3285, 730, 543, 14616, 856, 1360, 3533, 563, 1692, 547, 16473, 11819, 22210, 719, 888, 2252, 2451, 15860, 267, 4116, 25794, 10832, 666, 1291, 547, 4049, 2790, 543, 2168, 1072, 2152, 269, 2334, 568, 1946, 621, 568, 865, 2629, 547, 946, 14942, 12485, 547, 2061, 4116, 25794, 543, 1521, 1022, 2589, 607, 4166, 607, 2009, 269, 3367, 6619, 547, 1451, 875, 547, 2061, 4116, 25794, 538, 519, 1739, 3670, 2081, 912, 258, 272, 281, 13185, 827, 2048, 974, 12329, 25794, 19028, 306, 527, 1524, 609, 513, 15210, 835, 267, 3381, 1289, 513, 2673, 3659, 267, 610, 979, 856, 585, 6995, 610, 7401, 609, 513, 11967, 26393, 269, 1403, 2009, 267, 1865, 707, 2783, 609, 18825, 602, 814, 741, 1378, 1279, 3856, 3450, 1995, 607, 789, 786, 581, 1732, 2111, 547, 26003, 1125, 543, 1174, 1018, 596, 616, 2469, 998, 563, 3719, 3314, 267, 519, 1101, 1900, 568, 547, 3274, 1376, 6158, 827, 621, 1107, 1205, 621, 782, 856, 256, 595, 787, 267, 678, 656, 267, 14902, 543, 798, 711, 3180, 4376, 1394, 269, 634, 811, 596, 609, 3835, 267, 519, 811, 707, 4606, 540, 17140, 543, 2566, 786, 19389, 543, 829, 3712, 622, 936, 883, 707, 1985, 3450, 1554, 269, 2334, 568, 711, 4023, 547, 707, 1053, 610, 596, 563, 2005, 568, 13061, 2436, 610, 711, 707, 2048, 29019, 518, 547, 10709, 593, 685, 3091, 596, 3280, 5796, 282, 1018, 779, 1034, 2565, 568, 547, 917, 602, 596, 616, 711, 4805, 543, 2736, 519, 10072, 540, 707, 960, 269, 5272, 19829, 666, 7654, 2671, 609, 596, 741, 2123, 2984, 540, 2816, 5829, 2566, 1107, 3226, 1282, 713, 942, 540, 2228, 3450, 1107, 543, 596, 666, 1489, 1142, 824, 563, 258, 273, 281, 6657, 1582, 13282, 454, 2005, 1522, 3280, 899, 513, 804, 747, 2946, 267, 855, 621, 1568, 256, 8682, 13282, 2853, 543, 13467, 666, 948, 596, 4225, 707, 1378, 1072, 269, 4475, 267, 596, 1590, 1305, 930, 942, 11735, 538, 519, 10543, 610, 593, 519, 15964, 547, 798, 1945, 602, 2640, 596, 15508, 543, 9308, 563, 1432, 18589, 1127, 543, 6001, 525, 596, 286, 2368, 2093, 4125, 912, 268, 589, 2656, 6640, 10649, 6296, 454, 268, 28552, 9066, 454, 268, 14171, 513, 3802, 454, 268, 5438, 1329, 1424, 2470, 454, 268, 7335, 707, 19463, 1433, 454, 268, 589, 8799, 1554, 693, 519, 838, 320, 454, 268, 4813, 532, 513, 3207, 8430, 543, 23578, 547, 621, 2336, 20236, 13282, 666, 1256, 581, 607, 2241, 543, 2653, 607, 2921, 513, 2620, 7362, 269, 28454, 3370, 538, 519, 4760, 540, 13571, 4536, 538, 10017, 543, 27096, 673, 7070, 723, 8810, 519, 1072, 2640, 540, 7244, 7184, 267, 2523, 950, 621, 2501, 547, 2566, 543, 4160, 8323, 563, 2252, 596, 616, 12758, 3330, 543, 3450, 20716, 267, 2119, 4358, 707, 1554, 609, 513, 2110, 3802, 610, 1491, 513, 5496, 6954, 12899, 2736, 269, 1879, 596, 4225, 1582, 13282, 267, 596, 616, 1732, 9280, 547, 948, 707, 1053, 563, 258, 274, 281, 5700, 950, 547, 1491, 513, 2736, 454, 2691, 596, 1376, 3478, 519, 1101, 4191, 540, 4116, 25794, 267, 596, 1590, 1491, 513, 1900, 2476, 689, 621, 269, 3399, 676, 6028, 707, 960, 693, 960, 281, 519, 4555, 540, 6437, 4058, 267, 21249, 267, 14775, 547, 3237, 685, 15737, 267, 2361, 7552, 10479, 3029, 267, 1867, 6486, 547, 6445, 856, 543, 865, 593, 563, 21156, 540, 2324, 5180, 519, 9219, 267, 2119, 713, 281, 7485, 856, 513, 1957, 543, 4063, 1524, 3388, 602, 11129, 779, 547, 581, 2944, 936, 519, 1985, 1079, 2395, 269, 4495, 519, 1592, 568, 2347, 267, 4584, 519, 1283, 1614, 4247, 269, 1452, 616, 707, 2048, 332, 755, 28273, 685, 4247, 585, 519, 1985, 1554, 1107, 713, 786, 1118, 707, 2395, 811, 19242, 563, 3086, 602, 596, 723, 4121, 875, 547, 1118, 519, 1985, 1079, 2395, 811, 19242, 543, 4443, 1577, 979, 540, 519, 960, 543, 4225, 3054, 585, 519, 6967, 3781, 269, 13772, 707, 19463, 28923, 1397, 267, 1224, 513, 1433, 267, 1118, 513, 8949, 12129, 267, 610, 979, 547, 5127, 2038, 563, 2171, 1174, 602, 2228, 3450, 2306, 782, 713, 8945, 1512, 267, 855, 621, 568, 1869, 1898, 547, 1305, 930, 6302, 269, 5153, 2476, 689, 707, 18376, 5496, 693, 519, 1439, 540, 519, 1554, 543, 5401, 3054, 602, 1631, 621, 568, 707, 2123, 942, 267, 711, 960, 942, 269, 4340, 547, 513, 25227, 1353, 267, 1582, 30625, 610, 4657, 707, 1378, 4555, 543, 19326, 568, 835, 540, 519, 2081, 3610, 547, 1521, 543, 2057, 4116, 25794, 269, 901, 1797, 912, 268, 26875, 1944, 707, 1034, 4105, 4247, 454, 268, 20405, 532, 1524, 707, 2324, 10605, 454, 268, 15331, 532, 609, 3875, 942, 31193, 2553, 454, 268, 2274, 3058, 707, 960, 693, 1153, 950, 596, 1590, 454, 7021, 331, 8504, 610, 896, 12827, 1154, 707, 24913, 1522, 3100, 7543, 269, 1809, 952, 596, 616, 538, 28855, 344, 540, 4116, 25794, 267, 596, 1590, 1118, 2242, 256, 2991, 782, 267, 596, 3112, 581, 972, 585, 707, 1053, 952, 596, 616, 711, 972, 585, 3054, 563, 258, 275, 281, 7612, 856, 1018, 4682, 4636, 454, 3383, 267, 596, 1185, 513, 3983, 1554, 693, 960, 543, 15422, 621, 4523, 609, 16764, 269, 589, 3983, 1554, 949, 1745, 782, 10276, 7609, 532, 267, 855, 798, 596, 2479, 3247, 543, 4898, 827, 1946, 621, 729, 513, 3983, 1554, 888, 2252, 621, 729, 1175, 513, 2582, 267, 4440, 513, 24735, 2680, 602, 15427, 707, 3983, 1554, 267, 5310, 596, 616, 811, 538, 1852, 982, 596, 2219, 269, 1879, 1919, 798, 711, 979, 607, 4397, 267, 621, 666, 28148, 1860, 3388, 3116, 649, 798, 267, 1256, 950, 972, 568, 1100, 24534, 2601, 585, 873, 1932, 563, 11997, 267, 2899, 596, 616, 2111, 547, 2697, 519, 2680, 602, 538, 641, 1636, 2317, 569, 8297, 1441, 707, 1554, 267, 596, 1522, 2097, 547, 1265, 4986, 610, 1360, 2370, 827, 707, 1554, 543, 8275, 602, 707, 1554, 7012, 1406, 602, 3983, 1310, 782, 563, 2252 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 19435, 267, 3624, 454, 21545, 31219, 568, 513, 2186, 540, 7344, 3937, 609, 2647, 3498, 543, 3532, 2934, 269, 1306, 513, 1883, 7344, 3937, 538, 2823, 267, 922, 5413, 6013, 538, 922, 1164, 7779, 2497, 269, 4706, 1271, 3937, 2497, 568, 607, 5205, 281, 1292, 11237, 476, 273, 267, 17666, 14903, 476, 272, 267, 10544, 19943, 476, 272, 267, 5665, 4055, 476, 272, 1305, 267, 10814, 5122, 3937, 476, 272, 1305, 543, 22302, 2694, 563, 272, 269, 6301, 4556, 1457, 10198, 540, 2823, 1835, 6951, 454, 31374, 856, 519, 22402, 547, 2743, 519, 4170, 585, 7344, 3937, 10198, 269, 3973, 946, 11308, 3207, 619, 547, 5094, 873, 267, 1747, 873, 593, 1312, 5011, 896, 519, 1292, 11237, 267, 543, 1287, 1747, 519, 1079, 1292, 20832, 538, 519, 7450, 31219, 538, 5311, 267, 946, 513, 8261, 11876, 626, 547, 3142, 519, 1079, 1292, 20832, 2673, 1927, 267, 946, 513, 17453, 13544, 547, 2482, 519, 1079, 1292, 20832, 267, 543, 1287, 4045, 519, 1292, 11237, 8220, 6676, 609, 519, 19671, 31211, 563, 763, 8220, 6676, 568, 27358, 1282, 519, 5663, 1184, 540, 519, 1292, 11237, 267, 543, 519, 19671, 31211, 616, 1164, 5957, 15033, 8930, 4949, 548, 19671, 31211, 563, 273, 269, 2368, 3937, 5665, 11623, 543, 5122, 2472, 540, 2823, 1835, 6951, 454, 5475, 519, 1292, 4556, 1457, 568, 19632, 267, 4368, 621, 593, 519, 4478, 9856, 571, 2812, 267, 17063, 519, 1292, 4556, 1457, 693, 513, 4463, 540, 476, 272, 332, 609, 513, 2823, 31219, 267, 4368, 621, 593, 519, 31455, 609, 19671, 31211, 267, 543, 11876, 626, 621, 1927, 609, 519, 1292, 4556, 1457, 563, 274, 269, 23632, 17666, 540, 519, 1292, 4556, 1457, 540, 519, 2823, 31219, 454, 763, 11876, 12371, 540, 519, 1292, 4556, 1457, 568, 6192, 10446, 676, 513, 476, 2004, 339, 31219, 267, 543, 513, 4693, 11876, 12371, 1590, 581, 5645, 856, 269, 1280, 519, 4693, 16304, 267, 1101, 17063, 519, 1292, 4556, 1457, 547, 513, 4463, 540, 476, 4968, 7825, 547, 2638, 519, 3666, 543, 6617, 269, 634, 3346, 1063, 519, 2539, 31007, 5086, 540, 519, 1292, 4556, 1457, 543, 519, 27647, 1242, 5374, 5911, 1448, 1058, 581, 513, 9764, 554, 19982, 5086, 547, 2061, 3441, 547, 519, 27647, 1242, 5374, 5911, 563, 275, 269, 14208, 12371, 1292, 4556, 1457, 540, 2823, 31219, 454, 5475, 519, 4693, 17666, 2638, 568, 2953, 267, 5965, 547, 5305, 519, 17666, 269, 1879, 17666, 267, 581, 11461, 676, 519, 3076, 614, 269, 3143, 2339, 945, 9783, 519, 5365, 3652, 267, 1152, 1246, 519, 3076, 614, 6786, 563, 276, 269, 14208, 12371, 2823, 1835, 6951, 454, 5475, 519, 1292, 4556, 1457, 568, 11876, 13554, 267, 946, 519, 2823, 31219, 547, 17063, 909, 519, 31219, 14903, 267, 2322, 621, 593, 519, 1292, 4556, 1457, 267, 2268, 519, 4287, 8308, 267, 543, 1921, 519, 2185, 14743, 609, 519, 3391, 986, 2812, 593, 519, 1292, 4556, 1457, 269, 2311, 713, 942, 267, 9395, 523, 519, 20347, 1062, 547, 2061, 519, 31219, 689, 23510, 563, 277, 269, 3400, 321, 3937, 585, 2823, 1835, 6951, 454, 5475, 519, 1292, 11237, 568, 10069, 1242, 543, 14661, 267, 782, 14778, 960, 7363, 269, 2991, 1142, 2951, 6467, 568, 6899, 543, 6325, 267, 1451, 547, 10205, 519, 27647, 1242, 5374, 5911, 543, 4188, 519, 10544, 2687, 547, 519, 3573, 3069, 540, 8142, 532, 519, 18052, 547, 2327, 602, 519, 10544, 30981, 568, 2653, 547, 1930, 543, 2673, 563, 2171, 1445, 593, 519, 1104, 543, 13143, 1870, 540, 17666, 12227, 267, 5230, 12227, 267, 10081, 2694, 267, 12227, 2694, 267, 3092, 269, 1306, 513, 1382, 543, 1646, 2754, 267, 649, 723, 811, 982, 476, 6344, 271, 5520, 543, 811, 982, 476, 1220, 8030, 543, 9946, 269, 2991, 1296, 540, 6639, 5647, 267, 621, 814, 5833, 811, 982, 476, 1220, 24977, 543, 568, 513, 4759, 1770, 540, 519, 834, 19770, 24581, 7557, 10320, 12752, 5948, 257, 8115, 31219, 7936, 269, 8080, 547, 5077, 269, 0, 1320, 748, 1343, 540, 3595, 13685, 2049, 1169, 1032, 267, 4481, 538, 519, 9036, 269, 22032, 267, 2724, 543, 2533, 616, 4503, 282, 609, 9000, 540, 1702, 827, 15324, 3268, 267, 621, 781, 519, 1360, 1482, 3364, 607, 15603, 513, 3276, 6921, 541, 3330, 269, 15706, 2141, 8263, 621, 3112, 4755, 547, 873, 267, 2705, 972, 781, 513, 6031, 602, 621, 781, 1732, 547, 581, 2922, 982, 20994, 1318, 286, 4208, 2196, 519, 1981, 540, 3388, 950, 596, 666, 2057, 621, 547, 1491, 1747, 269, 3371, 616, 7008, 540, 1898, 3354, 543, 6604, 2093, 3025, 814, 547, 1174, 563, 28557, 2866, 268, 13405, 547, 649, 666, 946, 606, 24773, 8718, 267, 649, 1590, 723, 606, 3617, 2866, 593, 519, 1655, 2081, 547, 16174, 543, 2196, 513, 3595, 24773, 8718, 269, 3689, 5351, 2866, 568, 849, 513, 1590, 269, 30785, 4859, 268, 2368, 6464, 616, 1166, 30100, 267, 649, 1058, 1747, 621, 538, 513, 1697, 4859, 2476, 689, 2127, 11630, 547, 3595, 563, 28557, 3653, 12871, 1770, 268, 1284, 2760, 5156, 17885, 10822, 2253, 513, 3595, 267, 2705, 9811, 621, 666, 269, 1284, 1590, 581, 2731, 13533, 538, 18530, 4376, 538, 938, 20203, 666, 267, 971, 607, 8246, 9075, 610, 13189, 267, 1813, 547, 519, 1249, 602, 621, 666, 1376, 513, 3595, 269, 2558, 1662, 1590, 581, 19345, 909, 543, 26356, 5781, 543, 14013, 269, 631, 2788, 4233, 539, 5122, 5547, 787, 910, 5502, 540, 9140, 513, 2034, 268, 3433, 5547, 787, 267, 649, 1058, 4444, 1346, 602, 616, 5393, 5227, 269, 1284, 2141, 2015, 9140, 519, 1919, 1141, 649, 666, 18359, 6666, 269, 901, 568, 5393, 24669, 269, 1717, 267, 649, 1058, 711, 1491, 519, 1981, 950, 621, 25701, 547, 1919, 899, 713, 1813, 547, 519, 1249, 602, 952, 3595, 4523, 1813, 547, 29840, 532, 5547, 787, 1287, 596, 786, 6336, 8726, 543, 782, 596, 1522, 798, 568, 581, 20994, 585, 563, 27852, 9101, 268, 5272, 960, 1604, 2115, 547, 723, 513, 3595, 9101, 602, 1169, 11832, 11129, 547, 1174, 269, 3911, 5803, 15372, 543, 3595, 25652, 1058, 581, 7157, 8704, 269, 9605, 8257, 781, 15146, 2338, 991, 547, 2141, 581, 3370, 2282, 519, 15146, 547, 3362, 3346, 873, 1247, 519, 3595, 568, 3274, 4358, 269, 901, 786, 4217, 873, 2746, 593, 942, 1991, 547, 519, 3595, 9428, 563, 11900, 18936, 540, 5547, 787, 593, 6296, 4493, 568, 11338, 1898, 269, 1635, 3257, 713, 649, 1131, 723, 519, 2702, 547, 3313, 799, 11443, 1522, 5310, 9594, 3595, 538, 519, 2104, 269, 18430, 3106, 3800, 268, 3619, 936, 547, 3025, 1271, 13390, 1081, 602, 1058, 581, 2944, 950, 513, 1880, 25896, 19674, 282, 713, 568, 547, 2061, 2009, 7063, 610, 2669, 547, 5520, 269, 11545, 3106, 1907, 4216, 2911, 666, 581, 11338, 2944, 676, 519, 4600, 547, 979, 936, 543, 2671, 3681, 547, 513, 2009, 1966, 602, 1522, 1491, 1747, 538, 741, 5604, 563, 21607, 1154, 540, 1129, 15236, 666, 849, 581, 2944, 267, 899, 519, 23053, 602, 1397, 1072, 543, 3106, 2866, 9101, 11507, 543, 608, 1080, 269, 1703, 1058, 581, 513, 8673, 15372, 538, 1169, 5604, 269, 5269, 2386, 596, 7369, 519, 6007, 1169, 3670, 3275, 269, 12305, 835, 6007, 13234, 543, 835, 13324, 676, 5122, 1648, 865, 602, 950, 6007, 10443, 14543, 547, 960, 14013, 267, 972, 1131, 711, 581, 606, 3390, 6236, 602, 596, 723, 2965, 1305, 909, 835, 602, 568, 13324, 676, 5122, 1379, 267, 543, 13030, 17930, 269, 21414, 1142, 8704, 8673, 15372, 10865, 269, 5457, 8673, 15372, 723, 10710, 2729, 256, 1234, 8408, 762, 8279, 616, 1454, 10930, 547, 8415, 982, 22250, 2429, 1379, 3109, 8083, 269, 1809, 952, 596, 798, 711, 723, 835, 267, 596, 666, 946, 23156, 609, 3106, 3800, 269, 15443, 548, 8279, 1058, 711, 581, 2451, 796, 3430, 2105, 543, 621, 2115, 547, 581, 6854, 2476, 689, 4376, 602, 666, 3533, 1376, 513, 3595, 971, 607, 1225, 13935, 267, 4574, 267, 3154, 9832, 267, 547, 2012, 513, 1906, 563, 22142, 2832, 547, 7816, 1022, 5122, 3457, 952, 596, 798, 711, 723, 519, 1318, 2866, 267, 1175, 865, 547, 4688, 2724, 585, 519, 18203, 269, 2913, 519, 3028, 11285, 798, 519, 2816, 3079, 269, 4790, 14688, 796, 680, 1872, 1022, 5122, 14233, 602, 616, 711, 538, 6165, 269, 3502, 1152, 1281, 621, 1491, 538, 5122, 1648, 267, 855, 621, 666, 11338, 581, 513, 2601, 585, 3595, 269, 2422, 24909, 13713, 543, 17303, 269, 3550, 621, 568, 2324, 7157, 543, 6770, 922, 2953, 4452, 563, 301, 792, 2173, 1170, 2621, 991, 547, 2141, 581, 7150, 547, 519, 2043, 3769, 585, 873, 547, 1205, 3595, 3354, 4656, 543, 849, 547, 2057, 1346, 2621, 689, 8345, 2899, 1586, 269, 0, 283, 335, 285, 31142, 3013, 814, 519, 4541, 781, 4102, 2244, 14425, 585, 6683, 543, 1185, 519, 1034, 4028, 6694, 7269, 1282, 519, 8938, 23867, 2540, 269, 589, 1804, 6712, 540, 519, 7269, 8719, 7733, 2676, 1103, 341, 9876, 618, 540, 17137, 538, 519, 2359, 540, 2067, 2200, 814, 12236, 7415, 27993, 585, 519, 1684, 517, 14860, 454, 15578, 476, 10463, 31686, 9139, 14821, 267, 2943, 547, 581, 32738, 676, 519, 1270, 15363, 1297, 540, 1533, 6608, 267, 6585, 1369, 621, 519, 1761, 585, 513, 12809, 4838, 538, 519, 4095, 24781, 269, 1280, 711, 1152, 1281, 454, 7437, 519, 5553, 267, 12075, 723, 7960, 1896, 3209, 2081, 547, 13889, 21440, 269, 3509, 616, 1869, 1316, 2213, 538, 3127, 543, 930, 723, 1256, 1044, 7550, 13383, 563, 1960, 273, 9863, 519, 4095, 2021, 781, 3350, 2115, 547, 15260, 612, 922, 14422, 543, 2994, 269, 0, 9336, 4132, 568, 513, 7756, 454, 30747, 540, 27003, 454, 4517, 782, 1927, 1118, 713, 1158, 513, 454, 3412, 698, 1588, 568, 519, 3037, 602, 6770, 9909, 547, 1272, 267, 543, 1453, 723, 513, 1390, 1379, 540, 9345, 269, 6884, 789, 666, 4952, 971, 1919, 602, 649, 607, 4079, 1223, 2760, 1256, 1589, 540, 267, 1818, 2984, 856, 540, 14501, 540, 513, 20419, 1397, 610, 29681, 827, 513, 18912, 9661, 269, 634, 26454, 540, 938, 6689, 568, 1945, 649, 782, 4413, 1310, 649, 1332, 4079, 269, 8409, 2395, 616, 2731, 5863, 267, 649, 723, 1100, 19048, 538, 938, 2247, 543, 1169, 1554, 814, 1945, 1007, 585, 721, 563, 2414, 1039, 513, 1906, 811, 3817, 547, 519, 2835, 540, 9345, 540, 1250, 5067, 631, 758, 3333, 543, 1010, 3659, 32599, 684, 267, 594, 5795, 873, 513, 3640, 540, 2051, 22017, 799, 814, 513, 7395, 673, 16836, 3330, 585, 873, 269, 631, 758, 3333, 568, 513, 476, 280, 1032, 2025, 7911, 945, 568, 4974, 538, 6103, 476, 275, 540, 1010, 3119, 2069, 269, 32599, 684, 568, 835, 540, 1010, 1360, 1655, 3659, 945, 568, 476, 276, 1032, 2025, 543, 2090, 538, 15206, 269, 5637, 540, 873, 1185, 513, 1360, 1434, 942, 12423, 741, 9589, 14500, 3330, 519, 2051, 22017, 4216, 269, 3371, 568, 513, 3381, 827, 519, 10761, 543, 1187, 789, 1185, 543, 519, 3860, 9345, 789, 1031, 547, 1628, 741, 7395, 673, 16836, 22064, 547, 873, 676, 2051, 22017, 563, 25889, 8535, 11905, 281, 2051, 22017, 3127, 269, 0, 288, 18205, 568, 513, 4087, 1141, 513, 4666, 1560, 630, 20200, 1227, 602, 540, 513, 1480, 267, 4352, 3006, 602, 540, 606, 3662, 264, 568, 12617, 269, 3400, 1407, 616, 2356, 4092, 538, 2027, 2127, 1305, 11735, 585, 519, 3483, 540, 19746, 267, 971, 607, 1178, 3272, 1841, 610, 524, 655, 2678, 625, 563, 26807, 3877, 540, 513, 18205, 267, 971, 607, 519, 1533, 540, 519, 1560, 1336, 1369, 621, 543, 1022, 3615, 1336, 609, 519, 1560, 267, 949, 1683, 1344, 585, 24085, 827, 875, 519, 1560, 949, 723, 5030, 1354, 922, 2669, 267, 1519, 519, 942, 1974, 538, 799, 621, 5030, 543, 519, 2528, 602, 621, 1185, 1044, 513, 851, 540, 563, 763, 26995, 602, 3029, 519, 18205, 269, 19196, 822, 725, 4268, 689, 513, 13719, 16150, 532, 547, 8851, 540, 1283, 31542, 547, 513, 3178, 540, 476, 277, 3952, 630, 272, 269, 279, 15432, 264, 610, 811, 1141, 513, 29256, 610, 19746, 12068, 568, 547, 581, 9112, 563, 4913, 267, 1034, 2413, 30401, 538, 519, 2136, 2276, 616, 1152, 476, 275, 3952, 2620, 607, 519, 524, 21488, 568, 5116, 883, 513, 6405, 4216, 454, 7197, 2959, 2161, 602, 519, 5169, 540, 519, 2165, 3357, 689, 476, 1704, 628, 2540, 5507, 269, 4438, 513, 20575, 602, 13351, 519, 2749, 267, 519, 7083, 26302, 540, 5507, 2366, 856, 513, 31885, 602, 782, 540, 519, 2749, 779, 21549, 581, 12617, 693, 2547, 3670, 3952, 2620, 269, 901, 729, 2944, 865, 609, 519, 4126, 540, 1225 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2764, 4455, 11313, 1691, 454, 288, 6820, 6733, 693, 6052, 12983, 538, 11894, 454, 307, 584, 4486, 269, 589, 11100, 540, 519, 5432, 543, 519, 3504, 267, 519, 7532, 10742, 519, 7178, 269, 5020, 538, 713, 13621, 1494, 540, 2245, 543, 2528, 568, 2938, 607, 16678, 543, 2943, 32668, 269, 11894, 568, 7444, 855, 15983, 4742, 513, 2531, 3215, 3196, 538, 519, 2797, 267, 2804, 267, 543, 1514, 1769, 269, 634, 6385, 2810, 4346, 814, 28280, 1004, 6469, 543, 13383, 267, 607, 713, 2197, 13788, 519, 1158, 3942, 269, 6052, 6165, 538, 11894, 568, 593, 519, 4473, 269, 2060, 922, 1007, 6422, 1648, 4346, 267, 11894, 814, 1185, 513, 6521, 538, 922, 1648, 3609, 267, 2519, 5097, 593, 4657, 689, 3282, 267, 5755, 267, 543, 2067, 3154, 547, 8652, 267, 2842, 267, 24232, 267, 543, 3859, 1379, 267, 1247, 5466, 922, 991, 547, 6175, 922, 20558, 543, 7048, 811, 593, 922, 10923, 5413, 538, 4087, 547, 519, 4199, 14425, 543, 1007, 7287, 540, 6046, 1379, 563, 307, 584, 4486, 814, 513, 3818, 8820, 1648, 15059, 540, 2200, 269, 7849, 3154, 568, 519, 4199, 519, 2197, 12346, 593, 519, 1034, 267, 1818, 909, 476, 1789, 269, 275, 260, 540, 741, 2200, 269, 1234, 2391, 593, 930, 7791, 2200, 267, 8652, 1379, 2306, 909, 827, 476, 1839, 269, 276, 260, 540, 519, 2949, 2504, 269, 15021, 568, 741, 1985, 7887, 4199, 267, 1210, 827, 476, 2420, 269, 280, 10065, 4033, 4130, 2200, 3565, 547, 519, 1797, 1031, 267, 1373, 2842, 267, 24232, 267, 10316, 267, 543, 7791, 3653, 269, 9282, 741, 13829, 593, 1875, 3146, 2908, 762, 2200, 568, 28489, 1318, 1631, 267, 789, 1413, 547, 2333, 741, 946, 540, 4264, 2200, 543, 1039, 6046, 1648, 269, 968, 307, 584, 4486, 16034, 18749, 538, 519, 1158, 543, 1101, 538, 2342, 538, 2474, 540, 24232, 1648, 630, 11847, 3016, 540, 11894, 12080, 540, 14579, 16457, 267, 562, 6155, 4700, 892, 11894, 849, 5654, 2509, 8652, 267, 2842, 267, 543, 3859, 1648, 4481, 267, 607, 1346, 7791, 2200, 1131, 7494, 4324, 519, 1648, 2344, 269, 968, 307, 584, 4486, 679, 6665, 1137, 6721, 476, 1789, 260, 540, 922, 5201, 991, 689, 519, 5710, 1963, 676, 476, 1708, 274, 630, 11847, 3016, 540, 11894, 12080, 540, 14579, 16457, 267, 562, 6155, 4700, 892, 1403, 713, 3804, 3587, 513, 4641, 267, 11894, 786, 581, 13461, 593, 4264, 1648, 607, 621, 4867, 12346, 593, 2067, 3154, 1631, 267, 799, 1131, 581, 5393, 6225, 547, 519, 1648, 2344, 543, 2698, 1648, 2504, 607, 513, 2898, 269, 901, 1131, 2253, 547, 17362, 519, 1259, 2509, 1648, 3354, 267, 513, 1900, 538, 519, 1318, 4287, 585, 713, 1762, 543, 2810, 1648, 2344, 563, 2026, 11894, 8185, 12346, 593, 16865, 2200, 267, 621, 30877, 602, 538, 1931, 547, 3914, 1648, 3354, 267, 789, 1590, 2097, 909, 609, 811, 6469, 1648, 3435, 269, 968, 307, 584, 4486, 6663, 547, 2569, 21341, 593, 16865, 8093, 10173, 998, 16795, 10243, 532, 540, 6046, 1379, 883, 519, 15349, 1648, 3575, 630, 11847, 3016, 540, 11894, 12080, 540, 14579, 16457, 267, 562, 6155, 4700, 892, 1325, 2819, 2348, 9896, 606, 954, 32744, 6876, 609, 519, 6739, 18966, 267, 713, 1788, 547, 2417, 24644, 519, 1648, 2344, 568, 25093, 269, 634, 4070, 543, 5106, 540, 713, 6046, 1379, 2030, 786, 581, 538, 13019, 330, 8500, 340, 269, 1703, 616, 2907, 12909, 543, 4566, 538, 519, 1568, 585, 711, 1152, 513, 2034, 267, 855, 513, 3791, 6046, 1379, 2030, 607, 1134, 269, 18833, 519, 4220, 543, 27900, 3238, 538, 2469, 6046, 267, 607, 1134, 607, 2348, 519, 12576, 540, 12907, 7404, 267, 11894, 814, 2907, 3144, 2556, 15416, 269, 968, 307, 584, 4486, 814, 32380, 7608, 547, 6443, 519, 9167, 2566, 4255, 1982, 269, 634, 1271, 7923, 547, 971, 4255, 9727, 11894, 779, 7029, 547, 519, 10073, 543, 6388, 540, 519, 1034, 11826, 3106, 4441, 538, 519, 4070, 543, 5106, 540, 891, 2371, 630, 11847, 3016, 540, 11894, 12080, 540, 14579, 16457, 267, 562, 6155, 264, 892, 18833, 875, 2629, 621, 568, 547, 1831, 29143, 1227, 7123, 543, 6325, 593, 922, 1378, 2200, 543, 14425, 267, 11894, 814, 8854, 547, 1390, 13080, 547, 1205, 922, 1004, 593, 4580, 609, 922, 4507, 267, 543, 676, 3257, 865, 1832, 519, 1648, 2344, 513, 15615, 563, 2691, 1004, 1589, 540, 11894, 267, 789, 949, 1589, 540, 621, 607, 513, 14297, 2034, 1158, 2197, 267, 1634, 585, 922, 15805, 8847, 269, 1717, 267, 11894, 568, 513, 2197, 593, 519, 4473, 543, 7444, 4742, 606, 2804, 2518, 1379, 538, 922, 1378, 1318, 269, 9603, 547, 519, 4028, 2333, 540, 741, 2551, 543, 4346, 267, 789, 723, 5433, 519, 991, 547, 6521, 741, 1648, 3609, 547, 2285, 873, 811, 1648, 3354, 269, 9282, 789, 7048, 1631, 8185, 593, 16865, 267, 2067, 3154, 267, 5755, 267, 543, 3282, 267, 789, 616, 3168, 547, 2333, 543, 24644, 741, 1648, 2344, 676, 1373, 811, 3608, 609, 741, 6469, 14425, 267, 3376, 2287, 741, 7791, 2200, 267, 543, 9750, 883, 6046, 1379, 269, 9282, 789, 723, 2462, 9909, 267, 11894, 568, 7444, 855, 15983, 11543, 741, 1648, 3354, 267, 513, 1590, 547, 24644, 543, 1852, 741, 1007, 1648, 2344, 563, 2108, 307, 584, 4486, 779, 6052, 15613, 1848, 6243, 540, 11894, 12080, 540, 14579, 16457, 269, 6243, 540, 11894, 454, 14737, 3588, 540, 14579, 16457, 267, 562, 6155, 269, 5680, 269, 476, 277, 4924, 269, 476, 1001, 275, 269, 2999, 10674, 2517, 4178, 6230, 17304, 10993, 6745, 337, 13045, 2108, 15575, 787, 5811, 16684, 11137, 1848, 772, 2529, 6052, 6176, 10029, 269, 18763, 10803, 543, 454, 26046, 267, 562, 6155, 269, 5680, 269, 476, 277, 4924, 269, 476, 1001, 275, 269, 2999, 10674, 2517, 4178, 4318, 807, 10993, 11305, 870, 1845, 11305, 870, 787, 1673, 1092, 6983, 325, 332, 286, 325, 2354, 284, 14654, 285, 563, 312, 1794, 541, 267, 962, 639, 18860, 269, 24997, 6052, 538, 11894, 281, 8871, 10056, 540, 24997, 6052, 538, 513, 27565, 1944, 15349, 454, 21328, 30359, 269, 715, 4877, 12727, 562, 4877, 1421, 476, 1001, 273, 269, 7179, 563, 2108, 307, 584, 4486, 281, 6052, 8249, 1848, 7046, 6052, 6176, 269, 715, 4877, 1421, 562, 6155, 269, 5680, 269, 476, 277, 4924, 269, 476, 1001, 275, 563, 2791, 1590, 581, 29429, 538, 547, 2022, 513, 6085, 269, 0, 1607, 568, 513, 2243, 938, 4966, 1832, 3478, 689, 942, 547, 942, 269, 3767, 267, 649, 723, 3893, 519, 2347, 2143, 7778, 543, 2626, 585, 3025, 267, 945, 568, 5461, 2336, 5445, 723, 513, 2539, 5860, 982, 8407, 543, 786, 15835, 693, 5210, 2484, 2539, 982, 1346, 2838, 676, 8407, 269, 5221, 540, 741, 12402, 547, 581, 28221, 543, 11630, 547, 8840, 267, 1875, 5471, 1023, 3112, 723, 741, 3337, 3362, 12012, 269, 5450, 718, 6950, 616, 513, 2027, 7121, 540, 2609, 602, 2671, 4162, 609, 1312, 8407, 543, 1875, 5471, 1023, 269, 1358, 666, 723, 513, 21743, 610, 1319, 974, 5920, 267, 543, 741, 3337, 666, 581, 12012, 3833, 3533, 563, 6701, 12669, 6950, 28221, 543, 12155, 547, 8840, 888, 5445, 1419, 723, 513, 17953, 344, 5920, 267, 616, 5393, 4396, 267, 543, 786, 1152, 15835, 693, 1360, 1164, 5210, 269, 4256, 12122, 666, 581, 3362, 12012, 1510, 8840, 267, 543, 666, 1491, 519, 1106, 540, 6094, 12904, 610, 9212, 269, 4856, 12509, 568, 519, 1184, 998, 799, 8407, 7930, 14016, 622, 267, 1454, 607, 15309, 532, 4401, 2507, 24542, 543, 3002, 666, 1780, 998, 12669, 6950, 267, 4352, 519, 1184, 568, 711, 607, 3551, 607, 621, 568, 950, 10707, 998, 8407, 563, 6701, 12669, 6950, 17866, 888, 18404, 718, 6950, 616, 28221, 17571, 602, 723, 519, 5920, 540, 4496, 282, 789, 723, 513, 4412, 3748, 547, 2671, 9211, 950, 789, 2746, 609, 824, 6878, 282, 741, 27911, 616, 2901, 4617, 569, 15755, 610, 16822, 582, 20143, 282, 543, 789, 616, 3335, 1336, 538, 2470, 538, 6404, 2829, 2507, 5221, 789, 1118, 909, 519, 4102, 855, 2547, 1808, 7121, 540, 2609, 267, 12669, 6950, 3112, 581, 2417, 9286, 563, 6701, 12669, 6950, 2182, 610, 2571, 888, 19187, 2906, 269, 5450, 28351, 2609, 602, 616, 12669, 6950, 616, 6353, 676, 741, 12766, 339, 30276, 267, 561, 13831, 267, 543, 15373, 633, 2623, 269, 1358, 3112, 581, 8032, 899, 8407, 543, 798, 711, 723, 13811, 850, 610, 544, 4150, 762, 3601, 563, 6701, 782, 12669, 6950, 6419, 888, 4002, 519, 13350, 3349, 267, 519, 10859, 31475, 1023, 267, 849, 1634, 607, 12669, 6950, 267, 666, 581, 1336, 538, 519, 2230, 1063, 519, 8407, 543, 519, 1875, 5471, 1023, 269, 1358, 723, 930, 4162, 609, 1312, 2010, 540, 2609, 269, 11153, 540, 519, 2609, 602, 1118, 909, 4496, 723, 519, 11108, 2298, 540, 11275, 1143, 267, 855, 711, 782, 540, 873, 2507, 25080, 4610, 666, 1152, 581, 6383, 676, 1808, 2010, 540, 8407, 269, 11635, 267, 19695, 267, 543, 524, 28240, 616, 930, 1806, 540, 891, 8407, 563, 18404, 1023, 267, 6348, 5471, 1023, 1299, 5450, 718, 6950, 454, 28062, 476, 2412, 2055, 4448, 547, 713, 1888, 563, 7617, 6219, 568, 519, 1034, 17077, 540, 782, 519, 2609, 1336, 593, 3047, 888, 763, 865, 10777, 6475, 25505, 540, 4230, 520, 710, 267, 519, 4686, 560, 6923, 9648, 3693, 593, 3047, 267, 729, 6027, 585, 519, 1101, 942, 676, 513, 2319, 540, 3173, 9001, 519, 4959, 5357, 14701, 6046, 14428, 12695, 9744, 693, 595, 30204, 269, 8330, 520, 710, 568, 519, 3693, 609, 519, 9803, 1297, 540, 6923, 9648, 8444, 563, 3674, 621, 3020, 602, 4496, 568, 28221, 888, 1103, 2489, 267, 8407, 798, 711, 723, 513, 28221, 2298, 269, 1358, 616, 811, 544, 4150, 762, 543, 13811, 850, 982, 4376, 3116, 563, 1432, 616, 519, 2185, 23243, 4162, 540, 12669, 6950, 888, 268, 513, 2168, 1413, 602, 568, 13380, 547, 602, 540, 8407, 563, 268, 1358, 723, 513, 2539, 19428, 3379, 547, 8407, 563, 268, 1358, 616, 1447, 14388, 982, 8407, 538, 713, 2543, 563, 268, 5450, 718, 6950, 723, 1875, 5471, 28351, 3114, 4162, 538, 2489, 563, 6701, 519, 5354, 540, 12669, 6950, 4396, 888, 1103, 2474, 540, 741, 2168, 3601, 267, 782, 12669, 6950, 666, 581, 4330, 607, 4396, 950, 789, 616, 693, 4055, 2837, 269, 9603, 547, 519, 1249, 602, 1978, 12669, 6950, 267, 899, 13339, 543, 24141, 1756, 267, 666, 13789, 899, 5122, 26423, 896, 1978, 2175, 267, 649, 3277, 547, 873, 607, 10859, 8410, 2265, 832, 16634, 1879, 3379, 547, 8407, 267, 621, 814, 513, 3648, 2539, 4390, 547, 2932, 3002, 543, 5201, 563, 1432, 568, 513, 1570, 602, 5526, 547, 581, 513, 12669, 1355, 855, 568, 267, 538, 1249, 267, 513, 1769, 4496, 888, 763, 6219, 1634, 607, 586, 9579, 518, 630, 312, 1990, 264, 568, 9286, 607, 513, 12669, 1355, 1813, 547, 922, 4087, 267, 4352, 922, 7907, 1118, 621, 3100, 811, 899, 513, 1769, 4496, 563, 3963, 666, 1406, 11956, 581, 9286, 607, 513, 12669, 1355, 888, 3725, 281, 4208, 11956, 711, 12669, 1355, 286, 1325, 26891, 814, 1312, 2168, 543, 3114, 3601, 602, 616, 3833, 13380, 547, 1346, 602, 616, 6093, 540, 8407, 269, 898, 568, 2009, 585, 621, 547, 2291, 538, 513, 3099, 540, 16617, 2829, 1317, 519, 1648, 540, 519, 32447, 552, 268, 538, 519, 546, 11399, 4226, 1023, 568, 5393, 13380, 547, 602, 540, 5912, 8407, 563, 1432, 568, 519, 3483, 540, 12669, 6950, 888, 1103, 3114, 6547, 267, 12669, 6950, 616, 5827, 540, 1969, 532, 2901, 899, 8407, 610, 899, 1875, 5471, 1023, 2507, 1879, 621, 2501, 547, 741, 4390, 547, 2932, 3002, 543, 5201, 267, 789, 9114, 538, 1063, 8407, 543, 1875, 5471, 1023, 269, 1358, 723, 519, 14436, 2298, 540, 8407, 855, 519, 12766, 339, 30276, 540, 1875, 5471, 1023, 269, 2311, 4055, 2837, 267, 1142, 666, 581, 1336, 538, 922, 4396, 1106, 563, 6701, 12669, 6950, 2111, 547, 2992, 1769, 888, 18404, 718, 6950, 4043, 547, 581, 6505, 899, 8407, 267, 855, 17866, 899, 1875, 5471, 1023, 269, 1403, 789, 616, 12936, 267, 789, 616, 2693, 547, 695, 2660, 899, 4837, 610, 2490, 883, 513, 8869, 1813, 547, 741, 28221, 2470, 269, 6736, 519, 1249, 602, 789, 616, 782, 17571, 693, 4055, 2837, 267, 519, 824, 2168, 3601, 540, 12669, 6950, 267, 971, 607, 741, 14495, 543, 13621, 2798, 267, 616, 811, 4756, 563, 7617, 3693, 568, 6063, 557, 1399, 543, 11604, 6438, 888, 763, 12659, 8932, 8407, 616, 19882, 1927, 538, 6828, 476, 272, 288, 630, 528, 29722, 264, 540, 519, 13350, 3349, 269, 1358, 1331 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 4881, 563, 1103, 2110, 267, 602, 568, 2623, 543, 621, 666, 581, 1085, 3012, 1227, 13269, 899, 713, 912, 5319, 1444, 17147, 1765, 285, 32190, 2443, 17147, 15010, 6715, 15249, 17147, 1765, 285, 6356, 528, 454, 2080, 267, 519, 1689, 538, 519, 1604, 630, 1952, 30970, 540, 513, 17794, 264, 568, 9228, 676, 519, 8596, 630, 5674, 525, 267, 9224, 267, 10772, 1070, 9268, 676, 519, 5043, 1807, 630, 1492, 2634, 264, 543, 2164, 538, 519, 2534, 540, 519, 1198, 832, 630, 16443, 3380, 1916, 3719, 267, 621, 568, 2356, 711, 602, 2241, 269, 634, 2095, 5750, 267, 607, 13269, 267, 949, 581, 4977, 950, 10503, 2623, 540, 513, 24059, 267, 513, 1486, 626, 267, 513, 17343, 610, 513, 2030, 269, 589, 11140, 538, 519, 1591, 9245, 540, 513, 24059, 949, 2631, 5567, 267, 13802, 610, 1769, 269, 901, 1344, 568, 9268, 676, 519, 1591, 607, 513, 2898, 267, 543, 607, 513, 1267, 267, 519, 524, 23158, 610, 9206, 7578, 1847, 519, 24059, 538, 606, 3617, 4287, 563, 22492, 1242, 2281, 538, 519, 9496, 2389, 2354, 610, 3597, 2389, 2354, 949, 3713, 909, 543, 1524, 267, 610, 519, 2990, 540, 519, 6129, 267, 543, 3391, 2208, 538, 606, 3617, 4287, 630, 3333, 334, 1824, 909, 267, 5072, 1524, 1040, 6129, 25154, 543, 930, 824, 2371, 3950, 519, 2990, 540, 519, 6129, 2429, 519, 1554, 269, 3509, 2371, 1930, 543, 2673, 741, 5810, 610, 3762, 693, 1880, 2053, 540, 1554, 269, 2368, 5810, 267, 552, 3052, 267, 19026, 8038, 339, 1905, 543, 930, 30597, 267, 666, 1847, 1256, 5488, 538, 1931, 547, 7001, 7786, 563, 303, 559, 984, 565, 639, 267, 513, 17343, 630, 16308, 607, 5386, 3043, 8034, 3960, 593, 23226, 1070, 22534, 922, 24032, 2509, 519, 6129, 693, 513, 1880, 5086, 693, 513, 1880, 942, 540, 1554, 269, 8409, 616, 782, 2241, 5615, 5473, 513, 2582, 9300, 267, 513, 2582, 5043, 1807, 543, 513, 2582, 1198, 528, 538, 513, 2241, 796, 573, 27399, 2095, 540, 1344, 563, 5629, 649, 1205, 547, 2831, 609, 3844, 8401, 1949, 267, 1919, 1205, 513, 2370, 3787, 811, 7294, 269, 1703, 616, 1419, 2789, 8596, 269, 769, 519, 29588, 1383, 267, 519, 2242, 538, 1604, 616, 9571, 676, 1614, 5094, 8596, 281, 585, 5075, 267, 2912, 819, 543, 10153, 8351, 269, 6356, 832, 616, 1082, 6091, 267, 2324, 538, 513, 3810, 20291, 6073, 563, 306, 839, 832, 4092, 538, 519, 6091, 3049, 519, 1344, 827, 741, 2534, 1394, 547, 519, 5043, 1807, 269, 6715, 15249, 20555, 1394, 547, 519, 8596, 607, 1134, 1107, 9870, 519, 8417, 540, 519, 10444, 8219, 267, 1519, 5075, 267, 6217, 267, 9329, 543, 519, 28241, 2631, 630, 339, 13224, 1070, 1247, 4227, 519, 8417, 540, 824, 8596, 267, 552, 3052, 1421, 585, 1928, 269, 634, 16148, 8226, 540, 519, 2557, 540, 8574, 540, 942, 25815, 1524, 267, 3850, 585, 811, 5386, 3766, 11712, 14815, 543, 5488, 3375, 6194, 676, 519, 5043, 1807, 563, 13010, 267, 519, 5043, 1807, 786, 12954, 21131, 540, 519, 10399, 799, 267, 538, 2490, 267, 949, 2333, 519, 2702, 540, 1198, 832, 630, 16443, 3380, 264, 547, 798, 741, 960, 269, 6715, 15249, 786, 849, 6318, 519, 2534, 540, 824, 1418, 1949, 602, 616, 1271, 538, 3850, 6091, 547, 1685, 693, 741, 31062, 1377, 267, 552, 3052, 1421, 30057, 543, 7929, 1949, 602, 3142, 5135, 543, 1648, 547, 519, 6091, 563, 4263, 519, 1482, 942, 267, 519, 2634, 17303, 695, 7491, 1524, 519, 2534, 540, 1418, 1949, 711, 683, 1720, 776, 585, 2110, 3856, 6668, 267, 855, 799, 949, 1491, 519, 3407, 1648, 2476, 689, 519, 6091, 269, 4935, 267, 519, 9667, 267, 4761, 267, 608, 4038, 800, 543, 10285, 1949, 616, 7409, 1243, 563, 2026, 519, 29588, 8255, 2476, 267, 519, 957, 540, 4881, 2164, 538, 7766, 2242, 538, 519, 1604, 267, 799, 616, 1586, 9571, 676, 519, 8596, 269, 634, 5043, 1807, 2306, 3664, 547, 10393, 2220, 2925, 952, 519, 17794, 4991, 6251, 267, 610, 547, 11369, 543, 14736, 952, 519, 17794, 4991, 1360, 2673, 267, 610, 547, 3247, 543, 1265, 519, 32343, 8905, 1394, 547, 519, 23636, 952, 519, 17794, 814, 14460, 519, 29677, 563, 5472, 519, 2242, 4330, 538, 519, 29588, 1383, 1657, 616, 2609, 540, 519, 2566, 3210, 267, 799, 568, 606, 5140, 1383, 540, 513, 1950, 2623, 269, 1703, 616, 2789, 8596, 267, 2789, 1198, 832, 267, 1585, 12381, 540, 519, 1560, 779, 17550, 267, 543, 1896, 5686, 540, 1344, 3049, 10587, 3238, 269, 19884, 7350, 2090, 782, 3344, 540, 621, 563, 1103, 1840, 267, 621, 568, 711, 1175, 519, 2534, 3294, 267, 855, 849, 519, 4412, 3748, 585, 971, 2534, 602, 568, 6594, 676, 8965, 7350, 269, 17438, 540, 513, 2623, 8345, 5673, 593, 519, 8404, 267, 610, 519, 1533, 540, 519, 5043, 1807, 269, 634, 1533, 666, 581, 9168, 676, 10399, 267, 14000, 267, 13110, 1145, 267, 5391, 18480, 267, 2489, 1648, 2157, 267, 3092, 269, 634, 5043, 1807, 630, 324, 3052, 267, 519, 2634, 264, 849, 19299, 12557, 2964, 15501, 630, 743, 4169, 543, 13767, 663, 1513, 264, 799, 1118, 930, 5615, 1454, 811, 2693, 1282, 519, 1554, 610, 1282, 519, 3781, 267, 930, 811, 2693, 1282, 5614, 610, 4832, 267, 1866, 811, 2693, 1282, 2887, 610, 5162, 563, 1432, 1772, 10263, 888, 2005, 568, 2352, 547, 5581, 2623, 1510, 759, 15659, 547, 1175, 17609, 1806, 540, 1585, 5686, 540, 5615, 267, 855, 1577, 779, 2119, 547, 5581, 621, 19037, 281, 10263, 568, 513, 1689, 538, 1560, 779, 2990, 267, 3337, 610, 2681, 267, 610, 513, 1689, 538, 1761, 585, 971, 1689, 267, 538, 3210, 547, 2242, 538, 519, 5007, 610, 4835, 1604, 269, 10263, 568, 1439, 4094, 3585, 6383, 630, 328, 4318, 1421, 952, 594, 1847, 707, 6186, 1107, 602, 568, 711, 707, 2623, 267, 621, 779, 9553, 1070, 1625, 1842, 633, 630, 1889, 656, 547, 3035, 513, 3804, 1070, 543, 568, 606, 7960, 9542, 602, 8309, 547, 6668, 610, 12093, 267, 3976, 4679, 835, 779, 8516, 630, 6518, 568, 6654, 538, 519, 2013, 540, 519, 7904, 4370, 29588, 1916, 1692, 547, 1353, 2623, 888, 763, 1034, 13181, 543, 19311, 1259, 547, 1353, 2623, 568, 606, 32687, 1935, 269, 901, 1797, 602, 519, 2623, 896, 1353, 568, 14059, 693, 782, 2157, 540, 3919, 630, 5228, 6675, 547, 8134, 264, 543, 689, 2185, 1114, 7285, 269, 634, 1101, 5086, 568, 11115, 1143, 267, 799, 18575, 1353, 540, 519, 17550, 5817, 2623, 269, 4107, 540, 519, 2079, 540, 519, 29588, 779, 2623, 4330, 1657, 5059, 593, 713, 2460, 1107, 519, 17550, 540, 519, 10444, 267, 8849, 267, 16757, 543, 824, 1949, 543, 519, 1259, 789, 960, 1927, 547, 3132, 519, 2623, 563, 763, 2034, 835, 568, 13115, 4094, 344, 267, 519, 1353, 540, 25782, 543, 2022, 268, 10603, 787, 4577, 1646, 540, 519, 2623, 1107, 875, 1281, 606, 1367, 10536, 519, 2623, 267, 875, 1454, 568, 519, 2623, 15110, 5288, 269, 4121, 267, 693, 1018, 942, 538, 835, 779, 1272, 4783, 666, 519, 2623, 581, 4121, 610, 6829, 267, 693, 1018, 2053, 540, 1554, 610, 1032, 616, 519, 5615, 1034, 2693, 547, 581, 6829, 267, 3092, 563, 4322, 1101, 1079, 7285, 1107, 7271, 543, 23835, 4094, 344, 1107, 616, 3006, 1572, 1160, 343, 1493, 15486, 540, 2623, 543, 616, 2966, 547, 2307, 543, 2626, 519, 968, 1692, 892, 2055, 540, 2623, 630, 6011, 1281, 621, 960, 267, 875, 1281, 621, 1020, 1040, 634, 1985, 1079, 616, 1572, 31597, 15486, 540, 2623, 543, 616, 2966, 547, 2307, 543, 2626, 519, 968, 3963, 892, 2055, 630, 25585, 13789, 538, 971, 1259, 1916, 14532, 568, 519, 3791, 1935, 269, 898, 2090, 519, 12105, 1686, 540, 513, 8965, 16023, 267, 2356, 676, 14139, 519, 13354, 1505, 267, 1775, 4318, 1421, 6476, 540, 513, 1297, 540, 1644, 2249, 267, 3843, 547, 3605, 952, 519, 2623, 568, 1455, 538, 782, 540, 873, 267, 538, 799, 2013, 621, 568, 1459, 1813, 547, 519, 2620, 29981, 1686, 267, 610, 540, 621, 1034, 28761, 9775, 609, 519, 1826, 540, 1604, 519, 2249, 2729, 538, 267, 11021, 602, 519, 2623, 568, 513, 2487, 9542, 585, 513, 1880, 1259, 540, 1272, 269, 7053, 267, 519, 8772, 1935, 568, 9577, 269, 898, 4255, 519, 8367, 602, 519, 2623, 538, 2243, 4679, 519, 3662, 779, 8516, 267, 11226, 538, 6668, 543, 5924, 12093, 267, 543, 814, 7960, 585, 602, 1599, 1107, 568, 621, 606, 9542, 563, 25748, 513, 11359, 2243, 814, 1044, 3773, 547, 713, 1592, 269, 10960, 17133, 12134, 968, 4692, 2831, 1589, 9495, 3371, 267, 6297, 946, 540, 930, 8966, 630, 663, 3833, 11786, 264, 2409, 267, 1519, 23278, 4925, 267, 26126, 543, 10236, 31532, 267, 11226, 538, 519, 1646, 540, 1449, 762, 19165, 827, 519, 6418, 10600, 540, 2831, 563, 5591, 824, 1858, 540, 7350, 568, 607, 32687, 607, 8965, 7350, 269, 898, 568, 2009, 585, 513, 1979, 32554, 626, 547, 11716, 14498, 610, 585, 606, 3235, 6048, 547, 11716, 1979, 17190, 630, 2288, 693, 519, 1981, 540, 7900, 13061, 1382, 1070, 855, 513, 8965, 29489, 3112, 11716, 1022, 2460, 540, 519, 7350, 540, 519, 2249, 896, 1353, 269, 901, 2306, 519, 1353, 540, 2623, 519, 15441, 602, 6585, 782, 540, 7350, 1927, 269, 901, 2306, 8965, 7350, 2352, 547, 798, 267, 607, 835, 2115, 547, 723, 2178, 4282, 538, 1082, 2127, 540, 7350, 267, 2930, 6791, 538, 513, 3376, 2039, 540, 8047, 543, 2361, 2553, 267, 543, 6266, 540, 942, 547, 1246, 909, 593, 519, 3332, 538, 513, 1297, 540, 1644, 4610, 563, 18744, 513, 1906, 1107, 519, 1655, 1107, 8965, 27563, 616, 5827, 540, 3695, 1169, 2460, 540, 513, 2623, 693, 782, 2157, 269, 4107, 569, 267, 519, 1966, 568, 5258, 1851, 513, 1297, 540, 20682, 1472, 519, 1158, 267, 1142, 11001, 1210, 513, 5594, 1114, 1935, 543, 1114, 2553, 269, 634, 20682, 1287, 5968, 609, 1142, 824, 3842, 6101, 9055, 1107, 519, 12326, 538, 3621, 13746, 1107, 543, 3842, 13016, 9055, 1107, 19014, 543, 2123, 2792, 269, 4935, 267, 513, 2462, 4605, 568, 7444, 1373, 3710, 856, 540, 922, 4130, 2694, 267, 1142, 4062, 540, 1382, 1373, 5483, 676, 782, 824, 4773, 540, 1382, 563, 15650, 540, 5615, 454, 2690, 1645, 2623, 3322, 4466, 267, 20414, 267, 7829, 543, 3824, 20535, 1426, 269, 898, 2882, 519, 5250, 543, 946, 540, 8023, 11182, 267, 1565, 519, 10122, 2553, 267, 519, 17550, 540, 14000, 267, 607, 1134, 607, 8965, 2994, 585, 9319, 4742, 10352, 563, 27154, 3350, 2882, 267, 1034, 30326, 267, 1279, 26591, 9194, 1519, 519, 8849, 6127, 540, 8901, 10066, 543, 12445, 563, 31636, 568, 519, 2702, 540, 2831, 547, 5968, 1344, 547, 1142, 824, 630, 5976, 514, 543, 914, 30591, 2249, 264, 3842, 1896, 10444, 9055, 630, 528, 23857, 1040, 8409, 23857, 1331, 5075, 630, 10175, 18342, 267, 22292, 543, 8701, 1242, 1769, 267, 607, 1134, 607, 22243, 3467, 4003, 1070, 3280, 630, 10175, 16953, 267, 1102, 14647, 543, 14041, 21513, 1070, 3114, 6786, 630, 8243, 20635, 267, 32176, 668, 2158, 267, 6492, 1070, 5905, 543, 5122, 6786, 630, 553, 538, 5122, 3165, 1916, 11847, 8793, 5615, 7854, 513, 3376, 2039, 540, 5615, 269, 631, 622, 1922, 4193, 267, 5256, 2173, 1446, 6735, 267, 19898, 31547, 543, 10470, 1222, 616, 5615, 3238, 538, 17516, 513, 19898, 269, 631, 908, 2623, 5849, 22289, 269, 715, 20535, 543, 15970, 5615, 616, 5921, 547, 2327, 519, 6668, 540, 519, 15556, 563, 11847, 8793, 5615, 616, 1271, 2609, 540, 12105, 1689, 269, 3509, 4307, 28437, 7592, 616, 513, 1267, 711, 540, 2067, 5542, 267, 855, 540, 4638, 5542, 267, 1141, 513, 16023, 568, 5697, 711, 676, 519, 2168, 1604, 855, 676, 1761, 29982, 269, 3004, 1080, 23163, 676, 519, 2043, 540, 519, 6587, 3023, 4043, 547, 581, 811, 2693, 547, 581, 5293, 593, 547, 519, 1985, 5108, 538, 602, 2551, 269, 901, 5012, 547, 519, 4720, 540, 27105, 7592, 630, 324, 3052, 1421, 519, 890, 659, 1442, 779, 2766, 264, 543, 547, 3604, 1063, 28486, 630, 324, 3052, 1421, 538, 1082, 6177, 2249, 519, 5256, 568, 29116, 11954, 1247, 519, 4775, 5654, 1951, 321, 1916, 300, 622, 3903, 666, 267, 5732, 267, 581, 3238, 538, 1623, 335, 6222, 884, 857, 566, 267, 952, 1114, 2043, 538, 519, 2551, 3870, 1114, 7592, 538, 741, 29982, 267, 865, 519, 5444, 2095, 1063, 519, 1079, 2516, 4991, 24482, 4130, 609, 1142, 5108, 269, 901, 2186, 540, 20282, 568, 1572, 1028, 677, 894, 20282, 630, 553, 10353, 547, 4351, 20282, 267, 1141, 1142, 1367, 568, 8449, 2693, 547, 19898 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1109, 1015, 6629, 279, 715, 630, 322, 264, 476, 1428, 476, 1109, 1015, 6629, 279, 715, 630, 323, 264, 476, 1015, 476, 1015, 6629, 279, 715, 692, 31874, 278, 692, 335, 284, 476, 30548, 2604, 815, 296, 11305, 692, 30043, 1109, 1341, 476, 1109, 22382, 5231, 1109, 1721, 835, 27141, 692, 30043, 1109, 5231, 815, 12304, 675, 692, 3719, 815, 2004, 654, 8276, 273, 692, 284, 18208, 675, 692, 30043, 6892, 674, 333, 284, 476, 1109, 284, 736, 476, 1015, 6629, 279, 715, 692, 9202, 7726, 23241, 288, 1126, 568, 3168, 585, 1010, 4651, 269, 1261, 4682, 476, 3445, 7397, 538, 519, 5101, 1354, 7432, 547, 1010, 1318, 269, 1261, 4682, 476, 736, 7397, 1354, 7432, 547, 1010, 1318, 1586, 547, 1413, 585, 1010, 4651, 693, 1010, 11515, 781, 1747, 476, 1789, 7397, 689, 713, 1448, 269, 3571, 4651, 729, 711, 972, 269, 3245, 1934, 646, 4682, 476, 1911, 7397, 547, 519, 3345, 1354, 5870, 1010, 4651, 538, 513, 8265, 269, 1215, 2484, 1705, 519, 5067, 2743, 1010, 4651, 689, 519, 4358, 1448, 26042, 10490, 264, 476, 3199, 7397, 3396, 1741, 476, 7673, 13725, 630, 289, 264, 476, 1911, 7397, 692, 18154, 264, 476, 9610, 7397, 3396, 476, 7673, 13725, 630, 291, 264, 476, 18605, 7397 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 672, 476, 1691, 20136, 1599, 267, 1293, 318, 6352, 17338, 1070, 7851, 513, 1592, 540, 1913, 883, 513, 1592, 540, 3097, 672, 9981, 8204, 519, 13080, 540, 519, 2323, 335, 1180, 532, 1913, 454, 672, 3097, 672, 30352, 912, 672, 1592, 268, 513, 1592, 540, 1913, 1044, 3144, 454, 672, 3097, 672, 16849, 912, 672, 513, 1592, 540, 1297, 538, 799, 1142, 1297, 4564, 519, 3259, 540, 519, 1071, 22046, 532, 2262, 538, 1592, 454, 825, 23288, 825, 561, 5460, 17342, 316, 1948, 1711, 513, 8900, 1592, 454, 825, 585, 1775, 538, 2039, 263, 271, 267, 6352, 17338, 15892, 1038, 561, 5460, 6910, 12759, 17338, 5157, 316, 4297, 258, 1293, 519, 1297, 540, 1169, 2262, 1287, 1039, 873, 547, 519, 1592, 561, 5460, 454, 825, 2132, 561, 5460, 454, 12248, 318, 6352, 8443, 257, 31435, 14824, 16447, 14824, 322, 1393, 257, 8079, 8931, 8931, 1363, 692, 3698, 1265, 9078, 784, 652, 29999, 17338, 2187, 825, 23288, 825, 476, 1428, 20136, 1599, 267, 1265, 9078, 784, 652, 29999, 17338, 1070, 3217, 513, 1592, 540, 1913, 543, 3097, 825, 7024, 519, 3259, 540, 519, 13074, 835, 22562, 825, 30352, 912, 825, 1592, 268, 513, 1592, 540, 2262, 1044, 3144, 22562, 825, 16849, 912, 825, 513, 1297, 799, 4564, 519, 13074, 3259, 538, 1592, 454, 825, 23288, 825, 512, 284, 6352, 17338, 314, 271, 8079, 1948, 8181, 622, 512, 609, 519, 3259, 540, 1592, 314, 271, 2639, 825, 585, 1775, 538, 2039, 263, 272, 267, 6352, 17338, 15892, 1038, 952, 512, 27045, 6352, 17338, 5157, 316, 2187, 17264, 512, 284, 6352, 17338, 5157, 8079, 258, 2638, 519, 1964, 1913, 835, 676, 835, 267, 952, 519, 3259, 540, 873, 568, 8273, 982, 512, 267, 873, 1871, 621, 609, 922, 3259, 454, 1038, 3116, 912, 17264, 3136, 454, 825, 2132, 512, 454, 22772, 9078, 784, 652, 29999, 8443, 257, 322, 1393, 14824, 31435, 14824, 5814, 766, 19312, 2020, 672, 692, 3698, 6882, 9078, 784, 318, 6919, 17338, 19885, 2187, 825, 23288, 825, 476, 1626, 20136, 1599, 267, 6882, 9078, 784, 318, 6919, 17338, 19885, 1070, 3217, 513, 1592, 540, 1913, 543, 606, 3097, 825, 8870, 562, 543, 7024, 519, 1592, 540, 1913, 602, 616, 3476, 982, 562, 563, 8931, 825, 30352, 912, 825, 1592, 268, 513, 1592, 540, 1913, 1044, 3144, 454, 825, 562, 268, 513, 12939, 540, 1913, 262, 3259, 22562, 825, 16849, 912, 825, 513, 1592, 540, 1913, 4171, 3259, 616, 3476, 982, 562, 454, 825, 23288, 825, 1007, 17342, 316, 1948, 22056, 513, 1007, 8900, 1592, 454, 825, 585, 1775, 538, 2039, 263, 271, 267, 6352, 17338, 15892, 1038, 952, 7003, 17338, 5157, 8079, 285, 562, 912, 2018, 1007, 6910, 17338, 5157, 8079, 1948, 13765, 519, 1913, 540, 1592, 835, 676, 835, 267, 952, 3259, 540, 873, 568, 3476, 982, 12939, 267, 6533, 1039, 873, 547, 519, 1007, 1592, 454, 1038, 3116, 912, 2018, 3136, 454, 825, 2132, 1007, 454, 16344, 614, 9078, 784, 318, 6919, 8443, 257, 5814, 766, 14824, 7090, 14824, 31435, 14824, 5320, 257, 3910, 276, 994, 13872 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 585, 1883, 538, 512, 269, 12399, 10031, 2018, 952, 1883, 711, 538, 1582, 21606, 314, 271, 14158, 3546, 6318, 28759, 2891, 7659, 1281, 711, 6474, 15419, 1038, 556, 815, 29129, 1038, 585, 1775, 538, 1582, 21606, 912, 2018, 6474, 815, 476, 271, 454, 2018, 585, 737, 267, 341, 538, 512, 29096, 10031, 3546, 952, 1775, 25208, 316, 2652, 642, 912, 7386, 6474, 6834, 476, 272, 454, 2018, 952, 6474, 2652, 7003, 6025, 2187, 3546, 952, 4610, 2652, 7183, 912, 7386, 556, 6910, 9217, 994, 3546, 3116, 912, 7386, 31575, 815, 31460, 7386, 585, 2361, 538, 4610, 912, 13376, 31575, 272, 815, 2715, 7615, 281, 328, 314, 7615, 316, 8679, 13376, 31575, 269, 26303, 6025, 5404, 272, 264, 3097, 7386, 556, 6910, 6025, 5404, 994, 1038, 1820, 263, 516, 994, 1038, 2132, 556, 692, 7531, 825, 1219, 1265, 318, 2421, 318, 27146, 776, 318, 4486, 4311, 267, 5569, 267, 4610, 815, 7183, 2187, 1038, 23288, 1038, 18452, 568, 513, 5569, 540, 2418, 563, 1038, 29425, 568, 513, 1592, 10747, 799, 540, 519, 4610, 689, 519, 4737, 14121, 340, 921, 596, 1616, 563, 1038, 19243, 568, 519, 2582, 8675, 538, 519, 3349, 602, 568, 519, 12805, 1267, 267, 610, 14275, 270, 14085, 563, 1038, 23288, 1038, 952, 7003, 30415, 264, 11203, 7003, 4311, 31815, 8435, 2187, 2018, 6318, 28759, 2891, 21920, 540, 1871, 1281, 711, 6474, 10569, 15419, 1038, 678, 815, 11713, 13872, 1038, 585, 1775, 538, 1582, 21606, 912, 2018, 1293, 815, 476, 271, 454, 2018, 585, 795, 538, 2039, 263, 271, 267, 7003, 30415, 15892, 3546, 952, 1775, 314, 1345, 31815, 8435, 14728, 14963, 2652, 5569, 14728, 14158, 7386, 1293, 6834, 476, 272, 454, 2018, 952, 1293, 2652, 7003, 30415, 2187, 3546, 952, 4610, 2652, 7183, 912, 7386, 678, 6910, 9217, 994, 3546, 3116, 912, 7386, 31575, 815, 31460, 7386, 585, 2361, 538, 4610, 912, 13376, 31575, 272, 815, 2715, 7615, 281, 328, 314, 7615, 316, 8679, 13376, 31575, 269, 26303, 6025, 5404, 272, 264, 3097, 7386, 678, 6910, 6025, 5404, 994, 1038, 1820, 16868, 994, 1038, 2132, 678, 692, 7531, 825, 1219, 7696, 4311, 267, 678, 2187, 1038, 23288, 1038, 23453, 513, 1007, 4737, 883, 519, 3349, 563, 1038, 2433, 12407, 678, 281, 1715, 4737, 563, 1038, 2433, 8873, 281, 7183, 269, 7305, 1533, 568, 8242, 563, 1038, 23288, 1038, 1883, 19056, 815, 11713, 1038, 585, 1775, 538, 1582, 31815, 8435, 912, 2018, 1883, 19056, 6910, 16868, 5157, 7481, 27030, 1038, 952, 1883, 19056, 2652, 7183, 912, 2018, 6318, 28759, 2891, 5591, 3119, 1883, 15419, 1038, 556, 815, 1582, 26098, 318, 2421, 318, 27146, 776, 318, 4486, 31107, 19056, 994, 1038, 952, 7003, 263, 516, 264, 11203, 476, 271, 912, 2018, 6318, 28759, 2891, 1607, 4737, 6818, 5602, 27030, 1038, 1820, 16868, 2020, 1038, 1582, 21606, 6910, 16868, 994, 13872, 13872, 13872, 13872, 825, 1219, 18419, 4311, 267, 512, 2187, 1038, 23288, 1038, 1546, 8541, 782, 8913, 1255, 12805, 519, 10959, 563, 1038, 2433, 12407, 512, 281, 22276, 454, 1038, 2433, 8873, 281, 7183, 269, 7305, 568, 8242, 563, 1038, 23288, 1038, 585, 1883, 538, 512, 269, 12399, 10031, 2018, 952, 1883, 711, 538, 1582, 21606, 314, 271, 14158, 3546, 6318, 28759, 2891, 7659, 1281, 711, 6474, 5602, 13872, 1038, 1948, 1820, 2891, 322, 16226, 519, 1599, 5602, 1038, 585, 1775, 538, 1582, 21606, 912, 2018, 6474, 815, 476, 271, 454, 2018, 585, 1883, 538, 512, 269, 12399, 10031, 3546, 952, 1775, 314, 4486, 316, 2652, 512, 314, 4486, 14158, 7386, 6474, 6834, 476, 272, 454, 2018, 952, 6474, 2652, 7003, 6025, 2187, 3546, 1582, 21606, 31927, 9217, 994, 4449, 454, 4449, 454, 4449, 454, 4449, 454, 825, 1219, 4688, 4311, 2187, 1038, 23288, 1038, 3503, 8242, 11483, 309, 1394, 547, 519, 3312, 3758, 4087, 563, 1038, 2433, 8873, 281, 7183, 454, 1038, 23288, 1038, 2119, 912, 2018, 609, 1930, 4311, 29624, 267, 1412, 342, 3299, 2908, 1467, 284, 5257, 264, 607, 535, 912, 3546, 9587, 815, 1582, 21606, 314, 271, 4940, 12399, 4590, 3546, 3758, 815, 26417, 6185, 1112, 310, 31581, 6600, 267, 7615, 12849, 815, 9587, 994, 3546, 3758, 22182, 3650, 518, 4590, 3546, 585, 678, 538, 1582, 21606, 912, 7386, 3758, 9884, 31581, 578, 16868, 264, 3097, 1038, 4849, 594, 302, 13286, 912, 2018, 1820, 2891, 1607, 3758, 666, 711, 581, 10710, 8442, 0, 5814, 2871, 612, 29228, 1477, 5814, 4354, 6275, 305, 537, 30592, 29228, 1477, 5814, 15350, 29228, 24653, 3698, 10950, 630, 4067, 8029, 825, 1820, 2891, 15916, 834, 1341, 2012, 1341, 834, 543, 10950, 547, 519, 2622, 540, 10632, 630, 310, 334, 294, 1040, 315, 333, 2080, 596, 666, 1265, 1082, 3579, 3756, 547, 1404, 1701, 3418, 24653, 3698, 4452, 14682, 877, 630, 8029, 825, 1820, 2891, 8923, 3442, 513, 3014, 547, 1404, 281, 14744, 825, 1820, 2891, 272, 269, 15350, 10794, 910, 513, 5311, 540, 2338, 786, 2408, 585, 476, 272, 2034, 543, 596, 723, 547, 7058, 621, 1394, 14744, 825, 1820, 2891, 273, 269, 2871, 612, 10794, 910, 7058, 513, 1297, 543, 1294, 952, 596, 8359, 899, 519, 2780, 14744, 825, 1820, 2891, 274, 269, 4354, 6275, 22748, 30592, 910, 2119, 543, 7058, 519, 1871, 540, 513, 4351, 2179, 540, 20430, 538, 594, 11862, 14744, 825, 3014, 20311, 815, 703, 9272, 2891, 8442, 3418, 825, 2518, 7411, 1477, 825, 7411, 815, 703, 9272, 2891, 8923, 3442, 3014, 7411, 689, 476, 272, 547, 476, 276, 281, 8442, 3418, 825, 952, 711, 630, 271, 2999, 3014, 20311, 2999, 476, 275, 8029, 1038, 1820, 2891, 8923, 556, 268, 10938, 513, 3014, 1297, 14744, 825, 952, 711, 476, 271, 2999, 7411, 2999, 476, 277, 6769, 1038, 1820, 2891, 8923, 556, 268, 10938, 513, 3014, 1377, 14744, 825, 952, 3014, 20311, 2652, 476, 272, 6769, 1038, 1820, 29687, 25514, 29228, 269, 2452, 5560, 858, 22187, 17903, 825, 952, 3014, 20311, 2652, 476, 273, 6769, 1038, 1820, 263, 10817, 612, 29228, 269, 2452, 5560, 858, 22187, 17903, 825, 952, 3014, 20311, 2652, 476, 274, 6769, 1038, 1820, 263, 10501, 6275, 305, 537, 30592, 29228, 269, 2452, 5560, 858, 22187, 17903, 24653, 0, 14310, 815, 476, 271, 692, 3698, 5173, 16325, 272, 267, 11346, 267, 1003, 273, 2187, 825, 952, 11346, 2652, 1412, 266, 12466, 1038, 1267, 815, 1003, 272, 1341, 1003, 273, 454, 1038, 2132, 1267, 454, 825, 8640, 11346, 2652, 21029, 12466, 1038, 1267, 815, 1003, 272, 910, 1003, 273, 454, 1038, 2132, 1267, 454, 825, 8640, 11346, 2652, 24003, 12466, 1038, 1267, 815, 1003, 272, 2608, 1003, 273, 454, 1038, 2132, 1267, 454, 825, 8640, 11346, 2652, 23367, 12466, 1038, 1267, 815, 1003, 272, 1315, 1003, 273, 454, 1038, 2132, 1267, 454, 825, 3116, 912, 1038, 1267, 815, 1412, 1103, 20777, 11346, 7055, 1038, 2132, 1267, 692, 2745, 263, 20412, 622, 263, 273, 267, 23367, 3299, 476, 274, 4297, 1948, 7827, 2338, 267, 11346, 454, 0, 454, 3698, 1265, 8548, 1170, 532, 17338, 272, 267, 1592, 273, 17107, 825, 8273, 8217, 815, 1592, 273, 454, 825, 4130, 8217, 815, 1592, 272, 454, 825, 7508, 20311, 815, 476, 271, 454, 825, 952, 7003, 17338, 272, 264, 2652, 476, 271, 610, 7003, 17338, 273, 264, 2652, 476, 271, 912, 1038, 2132, 7508, 20311, 454, 825, 952, 7003, 17338, 272, 264, 2652, 7003, 17338, 273, 2187, 1038, 2132, 7508, 20311, 454, 825, 952, 7003, 17338, 272, 264, 3436, 7003, 17338, 273, 2187, 1038, 8273, 8217, 815, 1592, 272, 454, 1038, 4130, 8217, 815, 1592, 273, 454, 825, 585, 6221, 538, 8273, 8217, 912, 1038, 9206, 815, 476, 271, 454, 1038, 585, 1297, 538, 4130, 8217, 912, 2018, 952, 6221, 2652, 1297, 912, 3546, 9206, 815, 476, 272, 454, 3546, 2736, 454, 1038, 952, 9206, 2652, 476, 271, 912, 2018, 7508, 20311, 815, 6221, 454, 2018, 2736, 454, 825, 2132, 7508, 20311, 454, 0, 18411, 288, 26848, 9695, 1565, 5690, 1383, 1210, 32150, 23044, 5399, 563, 1607, 1383, 568, 1210, 519, 30400, 8780, 6538, 540, 1688, 25740, 9704, 630, 10674, 2517, 344, 2335, 269, 548, 322, 684, 2593, 270, 1410, 27219, 8276, 333, 626, 270, 994, 12041, 281, 15718, 1337, 12456, 1329, 454, 19061, 281, 4179, 2517, 326, 603, 889, 2593, 270, 599, 1337, 17043, 1329, 20081, 16428, 23044, 268, 14300, 13045, 18411, 5814, 11885, 607, 5286, 454, 5814, 21723, 6503, 607, 23686, 454, 258, 7682, 23686, 14857, 11437, 1029, 2652, 834, 272, 269, 279, 269, 271, 4840, 339, 325, 15630, 318, 12690, 318, 23092, 263, 1001, 3199, 272, 1789, 994, 12639, 20179, 269, 23092, 263, 1001, 3199, 272, 1789, 994, 258, 7383, 32745, 4306, 1239, 454, 5814, 19523, 454, 338, 903, 29624, 6910, 2891, 270, 11907, 5602, 5814, 20072, 269, 13231, 344, 6831, 848, 269, 2839, 318, 274, 269, 6358, 12774, 607, 3403, 12774, 454, 19282, 626, 815, 3403, 12774, 18667, 12774, 5334, 1115, 2891, 300, 301, 8780, 12774, 270, 2580, 835, 318, 14653, 18989, 2020, 5228, 30220, 1104, 30220, 454, 5814, 19523, 454, 338, 903, 29624, 6910, 2891, 270, 11907, 5602, 11034, 22710, 815, 30220, 269, 852, 10797, 258, 30352, 454, 14048, 318, 3433, 815, 476, 271, 269, 22650, 454, 10177, 1456, 318, 788, 5255, 338, 815, 476, 1839, 454, 321, 2255, 15481, 815, 476, 1911, 454, 5891, 14067, 788, 815, 476, 272, 692, 258, 23686, 8641, 18452, 454, 343, 815, 23686, 269, 2897, 14516, 2891, 15615, 2580, 1496, 14085, 267, 476, 4281, 275, 8079, 1948, 544, 333, 626, 1239, 3239, 540, 3337, 476, 2764, 265, 2764, 284, 4281, 275, 454, 344, 815, 23686, 269, 2897, 14516, 2891, 15615, 2580, 1496, 14085, 267, 476, 1015, 8079, 1948, 476, 271, 268, 280, 9704, 6284, 18092, 476, 1015, 5049, 692, 258, 8073, 2203, 692, 258, 5590, 2203, 12035, 454, 310, 815, 23686, 17679, 926, 762, 6025, 325, 25910, 8443, 4281, 275, 267, 476, 1015, 28413, 321, 815, 23686, 17679, 926, 762, 6025, 325, 25910, 8443, 1015, 8079, 2020, 258, 20472, 2203, 454, 716, 10474, 815, 23686, 8542, 333, 269, 7809, 10946, 6025, 325, 269, 3901, 332, 592, 3287, 267, 654, 264, 1341, 536, 264, 1948, 9941, 10946, 692, 258, 3687, 4476, 5470, 1210, 3444, 23811, 454, 258, 300, 7473, 9569, 16482, 322, 739, 815, 910, 339, 325, 18622, 706, 576, 23544, 12169, 265, 339, 325, 28802, 263, 716, 10474, 4297, 1948, 9061, 23811, 454, 9953, 574, 6500, 815, 23686, 6745, 1778, 269, 3849, 600, 18893, 574, 6500, 263, 14048, 318, 3433, 1040, 2381, 4476, 6262, 739, 264, 1948, 27240, 1304, 2677, 1417, 692, 28128, 318, 12534, 815, 23686, 18622, 706, 576, 28804, 6025, 325, 269, 11274, 263, 716, 10474, 4917, 258, 19461, 1944, 519, 4632, 454, 8181, 815, 23686, 269, 30976, 1125, 318, 718, 318, 19702, 1963, 10797, 18257, 12133, 539, 3009, 18411, 5228, 20072, 269, 583, 2812, 6745, 325, 318, 583, 2812, 1104, 32150, 23044, 306, 3481, 17526, 454, 2675, 1117, 17526, 815, 32150, 23044, 306, 3481, 17526, 28442, 6889, 724, 2354, 280, 5602, 18257, 12133, 539, 3009, 18257, 692, 258, 32374, 519, 3113, 454, 5976, 23686, 2529, 11970, 3890, 607, 5089, 912, 825, 23686, 6745, 1778, 22182, 14682, 1429, 4433, 612, 3052, 1429, 318, 3698, 267, 23367, 11907, 270, 27771, 338, 270, 13231, 344, 6831, 848, 9706, 23336, 868, 6958, 3796, 3299, 1412, 21203, 296, 4916, 280, 4877, 23336, 868, 5073, 825, 5089, 269, 14725, 263, 8181, 2020, 825, 1948, 9751, 4783, 454, 825, 1247, 6936, 912, 1038, 1285, 326, 6831, 739, 815, 476, 271, 563, 1038, 2698, 10734, 2255, 815, 703, 9852, 333, 626, 6745, 1778, 8542, 636, 318, 1410, 3263, 11486, 2255, 15481, 994, 1038, 1948, 31230, 936, 782, 10627, 2583, 454, 1038, 585, 1775, 538, 2039, 6025, 4973, 10734, 2255, 2187, 2018, 16801, 13448, 338, 267, 16801, 318, 903, 815, 544, 333, 626, 6745, 1778, 12785, 10734, 2255, 6357, 2255, 15481, 994, 2018, 1948, 28546, 2866, 1210, 16801, 1239, 692, 2018, 1948, 30770, 3328, 2530, 454, 2018, 3444, 318, 550, 16552, 26371, 815, 5089, 269, 14725, 6262, 739, 267, 3049, 18380, 28121, 343, 281, 16801, 13448, 338, 267, 586, 281, 16801, 318, 903, 348, 2020, 2018, 15981, 12133, 539, 3009, 18411, 2018, 11674, 518, 7456, 1601, 318, 13765, 518, 6262, 1484, 318, 550, 16552, 26371, 994, 2018, 15981, 12133, 539, 3009, 18257, 692, 2018, 5089, 269, 14725, 263, 9953, 574, 6500, 267, 3049, 18380, 28121, 343, 281, 16801, 13448, 338, 267, 586, 281, 16801, 318, 903, 348, 2020, 2018, 15981, 12133, 539, 3009, 18411, 2018, 11674, 518, 269, 13765, 22710, 4590, 2018, 15981, 12133, 539, 3009, 18257, 692, 2018, 1948, 1285, 326, 6831, 739, 6834, 3444, 318, 550, 16552, 26371, 14121, 4973 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 9511, 2979, 4976, 269, 2671, 593, 269, 29275, 269, 2979, 3446, 269, 1820, 2407, 2450, 269, 1820, 2407, 2450, 269, 1983, 910, 323, 7645, 5546, 267, 7114, 12166, 5546, 780, 2162, 476, 1626, 269, 4569, 8018, 17773, 6103, 6096, 476, 273, 526, 692, 10000, 11845, 3059, 18700, 2979, 10467, 616, 1631, 3446, 18700, 2979, 2689, 585, 2034, 10116, 2882, 4374, 540, 18700, 2979, 9212, 609, 21630, 561, 269, 26271, 3211, 8691, 3211, 2053, 3349, 3211, 2634, 751, 6471, 3211, 4605, 12746, 625, 2759, 543, 13594, 3211, 4806, 3211, 12297, 547, 12297, 3211, 9251, 543, 9656, 544, 30769, 2450, 6476, 3211, 780, 2162, 476, 1240, 269, 4569, 8018, 6103, 17773, 6096, 12005, 14313, 5131, 7179, 15026, 9351, 476, 274, 10794, 15750, 2572, 17006, 14559, 476, 275, 476, 273, 526, 692, 12749, 3211, 1007, 3211, 1034, 2442, 2979, 3211, 269, 1101, 3446, 3211, 1034, 2442, 269, 7348, 2979, 3613, 520, 2065, 2914, 3311, 18694, 3613, 520, 2524, 2914, 3311, 19298, 2173, 1497, 17469, 6954, 17263, 14428, 12695, 29364, 27970, 689, 2979, 586, 693, 6280, 540, 269, 7194, 7194, 269, 585, 519, 1239, 630, 267, 780, 2162, 476, 866, 269, 6103, 4569, 5871, 11759, 3557, 11621, 6096, 12307, 17773, 11554, 10789, 2920, 5999, 16952, 20113, 476, 272, 570, 12460, 476, 273, 526, 692, 5978, 21777, 1305, 540, 2979, 3211, 585, 616, 1175, 585, 1101, 543, 2034, 17603, 2221, 941, 4687, 2200, 547, 4001, 606, 4367, 547, 8454, 267, 2338, 3152, 982, 543, 1447, 982, 267, 543, 7114, 7366, 267, 9937, 543, 3283, 269, 715, 323, 3446, 2979, 3211, 19671, 12125, 22753, 538, 3059, 780, 2421, 269, 19636, 1500, 2653, 269, 22753, 269, 1820, 519, 610, 946, 607, 513, 3059, 3446, 2979, 803, 8615, 22753, 2882, 9838, 3211, 543, 19671, 12125, 538, 1312, 543, 269, 1893, 6267, 786, 723, 519, 4316, 547, 2259, 269, 3446, 2979, 3211, 269, 4466, 1747, 1871, 780, 2162, 476, 736, 269, 4982, 20884, 17773, 8018, 6096, 4855, 31932, 7089, 6103, 476, 274, 7412, 476, 273, 526, 692, 13553, 3446, 2979, 3211, 910, 1863, 609, 1100, 2034, 3446, 1840, 3211, 2034, 3446, 12408, 3211, 269, 1452, 3211, 616, 3617, 585, 2034, 3446, 2979, 269, 649, 723, 18705, 1082, 3211, 8720, 1585, 3344, 540, 713, 1888, 267, 543, 1082, 811, 780, 933, 4126, 596, 1265, 873, 1360, 3730, 543, 4277, 269, 513, 5618, 6609, 540, 519, 3211, 568, 593, 1142, 540, 519, 4976, 11097, 12033, 269, 4945, 593, 519, 2592, 547, 2070, 267, 4647, 267, 610, 1820, 873, 269, 6096, 2979, 3446, 8454, 3160, 2694, 269, 2241, 8454, 910, 2694, 540, 513, 2898, 780, 2162, 476, 2641, 269, 5131, 4569, 6096, 6103, 17773, 3487, 5590, 15026, 631, 1442, 4530, 5999, 25513, 11822, 476, 273, 526, 692, 293, 3555, 2962, 568, 513, 1390, 4976, 547, 946, 950, 10962, 8454, 547, 14987, 269, 609, 513, 2312, 543, 2653, 3562, 268, 16187, 7778, 540, 875, 8454, 616, 3957, 267, 1100, 811, 3450, 2877, 1354, 707, 2034, 1178, 1457, 666, 1205, 2324, 593, 891, 2042, 269, 5822, 3446, 2979, 2591, 3211, 910, 13410, 543, 2634, 29225, 619, 4976, 4116, 2200, 1500, 676, 824, 3610, 2979, 2238, 910, 3756, 267, 13410, 543, 2634, 29225, 619, 780, 10743, 2681, 8454, 540, 5546, 547, 2099, 23463, 543, 538, 713, 2979, 4976, 269, 8454, 540, 5546, 13797, 2285, 1053, 2259, 27864, 543, 540, 519, 5546, 538, 713, 2979, 4976, 269, 8454, 540, 5546, 25831, 269, 1053, 2681, 540, 1142, 3337, 538, 713, 8454, 4976, 780, 13349, 4295, 4441, 3446, 9511, 269, 27819, 267, 2034, 3446, 2979, 3211, 689, 4416, 2880, 12732, 811, 982, 1114, 2979, 3584, 269, 4416, 2880, 32245, 1007, 7792, 2979, 3211, 1142, 3923, 547, 1832, 707, 6030, 4195, 267, 3078, 267, 543, 909, 3562, 15082, 267, 543, 596, 666, 1569, 782, 540, 938, 2200, 689, 1022, 3926, 267, 2436, 693, 1153, 610, 693, 1753, 907, 264, 1297, 3515, 910, 3446, 1455, 4295, 2979, 3211, 910, 588, 269, 1297, 1899, 3211, 269, 4466, 513, 3368, 593, 513, 1297, 1899, 267, 513, 6824, 2979, 4976, 585, 269, 2979, 3211, 593, 2596, 2979, 18765, 269, 875, 547, 946, 1930, 1297, 1899, 12408, 630, 678, 323, 3446, 264, 910, 269, 3689, 543, 2034, 3446, 2979, 3211, 780, 2162, 476, 2537, 269, 6103, 7335, 6096, 24366, 18049, 26271, 11730, 10658, 14794, 8018, 11242, 12729, 3427, 476, 273, 526, 17773, 692, 23804, 1747, 1871, 269, 713, 2979, 4976, 3947, 707, 1126, 2259, 7114, 2338, 538, 519, 9937, 267, 7366, 267, 543, 5215, 1747, 269, 4466, 4009, 15174, 269, 4466, 4009, 15174, 269, 5131, 8454, 3211, 585, 588, 3446, 267, 3446, 267, 678, 323, 3446, 267, 3446, 543, 3446, 780, 301, 323, 3446, 2979, 3211, 267, 1353, 10274, 543, 6863, 5036, 269, 519, 2462, 2093, 538, 2034, 3446, 2979, 1331, 14178, 519, 1620, 540, 519, 3490, 268, 1084, 1062, 267, 2679, 21711, 609, 1840, 543, 12408, 267, 1210, 4441, 4559, 540, 2268, 267, 543, 10503, 543, 7421, 5546, 780, 2162, 476, 2190, 269, 26271, 10632, 6103, 17773, 6096, 476, 275, 5729, 8018, 8555, 704, 24908, 7089, 4982, 20884, 31353, 476, 273, 526, 692, 13553, 3446, 2979, 269, 715, 323, 3446, 8454, 4976, 910, 3446, 8454, 4976, 267, 6824, 2962, 3446, 2979, 3211, 269, 1452, 3211, 616, 3617, 585, 2034, 3446, 2979, 269, 649, 723, 18705, 1082, 3211, 8720, 1585, 3344, 540, 713, 1888, 267, 543, 1082, 811, 780, 933, 4126, 596, 1265, 873, 1360, 3730, 543, 4277, 269, 513, 5618, 6609, 540, 519, 3211, 568, 593, 1142, 540, 519, 4976, 11097, 12033, 269, 4945, 593, 519, 2592, 547, 2070, 267, 4647, 267, 610, 1820, 873, 269, 901, 2979, 4976, 6799, 606, 3830, 543, 12134, 707, 1126, 547, 946, 2790, 2979, 1983, 547, 6445, 538, 519, 7508, 5106, 267, 2901, 610, 910, 780, 2162, 476, 1839, 269, 9214, 323, 1043, 6103, 15026, 6096, 12005, 14313, 4982, 20884, 17773, 8018, 25609, 4569, 7089, 7412, 5999, 476, 273, 526, 692, 8620, 543, 1820, 707, 1378, 2979, 3211, 609, 2979, 4976, 11718, 269, 3446, 2979, 3211, 269, 12408, 2259, 269, 12408, 2259, 269, 713, 2979, 4976, 3947, 707, 1126, 2259, 18946, 910, 323, 13424, 2338, 689, 910, 323, 13424, 2338, 269, 12408, 2259, 780, 2162, 476, 3066, 269, 5131, 4569, 6096, 7179, 8083, 18827, 6103, 17773, 3883, 476, 272, 9978, 16610, 19556, 4813, 10358, 20308, 20970, 10632, 476, 273, 526, 692, 1103, 519, 2034, 3296, 267, 789, 6430, 2436, 519, 26484, 269, 715, 323, 3446, 9059, 540, 2979, 1770, 9511, 543, 8454, 10213, 942, 267, 2724, 267, 9511, 3446, 2979, 21641, 22753, 29105, 2749, 910, 9511, 1788, 1759, 1565, 630, 1040, 6103, 6824, 2262, 2042, 593, 1620, 2596, 8454, 1519, 2694, 540, 513, 2898, 543, 2694, 540, 513, 1305, 780, 325, 10330, 616, 11609, 676, 12449, 1053, 2721, 610, 2824, 519, 12449, 602, 3514, 519, 1966, 269, 1863, 3446, 2262, 1966, 3211, 689, 737, 1565, 269, 901, 3446, 4199, 609, 2157, 540, 15285, 568, 3501, 585, 2979, 6640, 960, 267, 6780, 267, 3232, 2979, 2689, 267, 543, 4830, 2979, 7740, 780, 2162, 476, 1789, 269, 5131, 15026, 4569, 6096, 6103, 17773, 10658, 26072, 27252, 9255, 4518, 22417, 16258, 476, 273, 526, 692, 2005, 568, 513, 8799, 18700, 2689, 585, 3845, 1565, 543, 568, 1631, 2139, 538, 1312, 7792, 543, 3059, 12043, 269, 3446, 18700, 2979, 2689, 585, 519, 269, 3619, 2979, 585, 2034, 3446, 568, 1500, 4443, 609, 891, 1820, 543, 979, 9360, 269, 713, 9649, 22753, 3568, 2347, 9360, 585, 979, 2979, 2034, 3446, 972, 616, 936, 3817, 602, 666, 581, 1031, 585, 3063, 2259, 267, 6780, 267, 610, 4879, 780, 301, 323, 3446, 2979, 3211, 568, 606, 5140, 942, 585, 2818, 540, 519, 1920, 547, 1569, 1118, 513, 1847, 15217, 543, 9735, 16345, 269, 930, 949, 1134, 979, 585, 1205, 25498, 7132, 930, 1223, 1256, 1528, 547, 3251, 693, 1753, 585, 930, 538, 25571, 2238, 269, 1369, 519, 2063, 1296, 267, 3446, 2979, 3211, 585, 519, 3214, 723, 1044, 3833, 2442, 621, 4547, 513, 1390, 4308, 12257, 543, 780, 2162, 476, 4029, 269, 5131, 4569, 6096, 6103, 17773, 31353, 24951, 24908, 10606, 6715, 619, 21929, 14594, 19725, 5729, 476, 280, 11788, 16748, 1436, 476, 273, 526, 692, 27736, 666, 2259, 1840, 543, 12408, 267, 2724, 267, 9511, 543, 8454, 543, 1454, 811, 269, 513, 2647, 4015, 540, 2979, 2238, 543, 13410, 609, 2984, 3986, 519, 3214, 5876, 269, 6435, 707, 1053, 1174, 8454, 1247, 4946, 930, 2681, 547, 891, 5546, 609, 713, 5363, 2979, 4199, 267, 1053, 786, 1711, 513, 3308, 6041, 540, 8454, 676, 7801, 519, 2694, 540, 519, 3337, 8612, 676, 1142, 6824, 780, 550, 790, 5399, 3211, 2034, 3446, 2979, 269, 4841, 723, 1044, 2182, 693, 960, 593, 741, 8454, 2259, 713, 1032, 267, 865, 1631, 922, 942, 547, 1294, 875, 2484, 2097, 269, 713, 1439, 6361, 4458, 2638, 2987, 786, 948, 596, 2708, 2875, 1620, 540, 2241, 8454, 540, 17783, 780, 267, 780, 2162, 476, 3451, 269, 24951, 17773, 8018, 476, 273, 526, 6103, 6096, 692, 301, 325, 3446, 9059, 540, 2979, 1770, 9511, 543, 8454, 269, 901, 568, 513, 3102, 4015, 540, 1863, 7792, 2979, 3211, 585, 3446, 267, 6896, 676, 3584, 971, 607, 1840, 267, 12408, 267, 2790, 2979, 267, 1036, 29470, 267, 1747, 1871, 267, 9219, 267, 2724, 267, 9511, 267, 543, 8691, 780, 16269, 616, 14477, 6383, 267, 7792, 689, 707, 11422, 267, 543, 1331, 519, 2626, 1883, 269, 519, 3211, 1489, 1022, 2034, 3446, 2979, 1982, 267, 855, 979, 2523, 1134, 609, 3446, 2979, 6437, 269, 5822, 17263, 2979, 3211, 267, 609, 513, 3575, 540, 2979, 1249, 21711, 543, 2262, 2042, 602, 786, 5000, 707, 2034, 17603, 547, 2087, 741, 2979, 1983, 780, 288, 5618, 6609, 540, 519, 3211, 568, 593, 1142, 540, 519, 4976, 11097, 12033, 269, 3776, 2034, 3446, 8454, 3211, 543, 1577, 707, 1053, 2263, 30556, 543, 20453, 998, 10477, 543, 2653, 3562, 268, 16187, 12383, 269, 891, 2034, 3446, 8454, 3211, 2322, 707, 1053, 6824, 1983, 547, 519, 1449, 609, 2262, 2042, 267, 24275, 267, 4946, 543, 18946, 8454, 267, 5751, 609, 4948, 3615, 267, 543, 811, 269, 715, 323, 3446, 8454, 3211, 267, 4245, 267, 543, 8454, 630, 326, 10232, 737, 268, 264, 835, 3368, 910, 5858, 519, 3337, 835, 3368, 910, 2681, 835, 3791, 910, 5858, 519, 3337, 1039, 543, 10208, 899, 8454, 630, 14079, 3738, 6824, 6476, 1931, 8454, 689, 2547, 547, 6574, 269, 1452, 1100, 3341, 3211, 543, 2238, 585, 3446, 8454, 2097, 538, 1312, 7792, 543, 15942, 8747, 585, 2653, 3845, 1565, 269, 0, 23804, 24572, 540, 513, 476, 273, 343, 273, 5119, 692, 6637, 476, 275, 4147, 476, 1321, 10318, 514, 1218, 454, 3519, 1061, 8797, 692, 9558, 5296, 692, 2750, 476, 275, 269, 272, 267, 476, 272, 21414, 519, 21876, 1923, 16123, 510, 279, 263, 273, 261, 275, 287, 6629, 276, 261, 6629, 272, 31206, 1496, 16123, 510, 279, 263, 5582, 509, 494, 261, 5582, 509, 496, 287, 6629, 5582, 509, 497, 261, 6629, 5582, 509, 493, 13580, 815, 476, 273, 263, 6629, 272, 264, 6567, 630, 6629, 276, 7565, 275, 264, 815, 6567, 273, 1341, 476, 736, 815, 476, 1240 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 769, 18296, 267, 19036, 540, 3954, 5658, 519, 16502, 15225, 513, 7138, 1782, 5918, 14032, 748, 2470, 18296, 17591, 338, 5128, 2429, 856, 519, 1404, 646, 1439, 8503, 1312, 540, 519, 269, 476, 5002, 279, 736, 1240, 6249, 540, 32408, 538, 18296, 1557, 560, 515, 13357, 540, 18296, 267, 19036, 540, 3954, 5658, 267, 568, 267, 5310, 267, 835, 540, 13275, 12335, 781, 1034, 2442, 1568, 835, 540, 519, 269, 476, 6344, 30663, 1240, 18296, 1353, 3391, 3568, 513, 12092, 540, 13275, 12335, 267, 3332, 3594, 267, 513, 2347, 552, 17856, 267, 7688, 2055, 267, 2101, 4798, 267, 3197, 267, 543, 513, 2407, 563, 763, 6249, 540, 32408, 538, 18296, 814, 1044, 513, 4922, 2442, 1888, 538, 519, 4901, 540, 519, 1404, 676, 1312, 13915, 543, 3988, 7567, 19036, 18296, 267, 538, 13275, 12335, 269, 476, 13136, 6344, 5400, 1775, 4312, 1250, 930, 2242, 547, 519, 1557, 1775, 1031, 1884, 545, 29916, 538, 519, 1557, 267, 1317, 602, 568, 1018, 18296, 4016, 1010, 32408, 607, 666, 596, 6169, 1348, 1250, 18296, 269, 901, 3992, 786, 2263, 10530, 538, 12335, 781, 1412, 5069, 2280, 262, 17640, 547, 519, 1523, 540, 32408, 543, 1865, 875, 32408, 19674, 607, 513, 2101, 6249, 538, 563, 10403, 3594, 689, 536, 691, 548, 2421, 1923, 18296, 1557, 281, 568, 18296, 521, 2033, 609, 519, 4947, 540, 1954, 644, 1014, 3069, 538, 519, 1101, 3368, 540, 713, 2540, 543, 519, 7766, 11944, 540, 269, 17283, 281, 513, 5920, 3330, 519, 32408, 1082, 1004, 723, 3893, 8068, 18296, 607, 513, 1404, 827, 7334, 1145, 543, 827, 18296, 781, 17528, 547, 4431, 5265, 269, 8496, 1145, 538, 12335, 781, 18296, 281, 32408, 949, 581, 968, 11365, 24835, 13369, 3361, 676, 606, 796, 618, 542, 762, 5945, 892, 971, 16398, 1419, 616, 711, 3362, 9228, 855, 949, 581, 269, 898, 568, 3181, 23534, 2436, 18296, 779, 7805, 32408, 568, 2067, 267, 1813, 547, 519, 3126, 540, 3105, 2621, 267, 610, 2436, 646, 905, 793, 338, 1010, 32408, 519, 1101, 1899, 540, 519, 1404, 269, 0, 312, 514, 30193, 519, 1739, 2238, 950, 3257, 513, 2013, 1353, 1382, 281, 476, 272, 865, 2013, 2090, 616, 1152, 513, 16861, 1382, 1505, 543, 666, 711, 581, 1031, 547, 513, 1297, 540, 2101, 3268, 267, 1519, 519, 4015, 543, 2079, 540, 4143, 1239, 269, 5530, 1107, 1641, 9186, 630, 529, 519, 12402, 585, 519, 1641, 547, 1253, 677, 610, 1685, 538, 513, 713, 1935, 3096, 1152, 3268, 835, 543, 1079, 540, 519, 3621, 2013, 12583, 269, 570, 5511, 11775, 540, 1142, 6404, 2409, 1382, 1353, 666, 581, 5532, 547, 835, 610, 1867, 630, 21163, 476, 1321, 1070, 607, 568, 519, 2013, 538, 11050, 543, 12007, 1382, 267, 568, 519, 2063, 1547, 589, 2013, 1353, 1505, 585, 5251, 6189, 476, 273, 3238, 1896, 3268, 281, 543, 6530, 849, 946, 2013, 2090, 607, 513, 1382, 1505, 269, 19881, 13472, 1985, 13472, 12007, 1382, 1505, 2013, 1353, 476, 275, 1686, 540, 2013, 1353, 281, 5072, 538, 19795, 267, 15257, 543, 6530, 1888, 540, 519, 1554, 281, 2013, 1353, 3268, 538, 10647, 2013, 1353, 281, 476, 272, 563, 23208, 1353, 540, 12007, 2409, 3091, 513, 14951, 7708, 557, 585, 519, 3395, 2440, 268, 646, 985, 542, 540, 12007, 11775, 689, 519, 15713, 540, 6530, 547, 519, 1459, 512, 783, 1242, 538, 891, 8966, 2665, 267, 519, 3889, 540, 5837, 7744, 1223, 269, 4414, 4593, 1478, 532, 519, 1505, 540, 26126, 607, 606, 1383, 12007, 646, 584, 2524, 616, 10858, 547, 782, 3584, 1369, 6530, 543, 519, 1480, 543, 1514, 620, 553, 267, 8906, 538, 1082, 2665, 17591, 2489, 3621, 4978, 799, 616, 2182, 547, 2285, 909, 519, 2186, 540, 8390, 786, 2141, 4096, 593, 519, 6249, 896, 1353, 269, 634, 2013, 1353, 1505, 1419, 3322, 3274, 11287, 1018, 4523, 547, 267, 610, 476, 272, 786, 580, 267, 1286, 5055, 630, 1220, 272, 264, 10962, 12007, 1382, 538, 6530, 4633, 4992, 543, 8604, 547, 1780, 6385, 998, 519, 3339, 5933, 540, 4633, 1310, 269, 5741, 729, 29600, 607, 1210, 513, 2013, 1353, 1505, 1369, 519, 26750, 540, 2259, 267, 1184, 799, 4386, 693, 2789, 1382, 5933, 666, 22113, 11444, 4724, 11001, 267, 607, 538, 1764, 20241, 540, 3210, 2173, 1712, 6530, 17758, 563, 291, 17805, 2079, 568, 513, 1514, 1382, 1505, 543, 568, 606, 1271, 1382, 522, 262, 682, 776, 14592, 606, 476, 279, 9912, 4058, 1184, 602, 1058, 1491, 1747, 711, 1175, 538, 713, 2013, 267, 519, 11001, 13000, 519, 3561, 899, 513, 4431, 550, 610, 269, 589, 5758, 540, 1382, 2409, 538, 1412, 338, 1382, 2409, 538, 6530, 2013, 2090, 267, 12220, 267, 2067, 2065, 8343, 267, 543, 8047, 8343, 616, 1806, 1383, 281, 513, 18673, 3096, 519, 5619, 1505, 547, 1353, 519, 2078, 269, 476, 1220, 274, 264, 543, 12007, 2409, 630, 323, 8636, 5341, 476, 1220, 278, 9378, 534, 476, 1960, 280, 1138, 1696, 620, 2013, 1353, 1382, 616, 5532, 547, 1142, 1900, 538, 519, 2013, 1353, 2013, 2090, 616, 4122, 1031, 538, 2127, 899, 6530, 267, 15257, 267, 2797, 2257, 269, 901, 2376, 25001, 1769, 2390, 519, 1283, 2185, 3621, 2409, 585, 4974, 1126, 519, 3268, 538, 513, 2013, 1353, 1590, 581, 538, 971, 513, 6024, 19588, 540, 942, 602, 563, 19111, 2090, 616, 538, 3829, 13753, 540, 513, 2582, 1268, 267, 1895, 267, 2680, 610, 2146, 3335, 267, 1239, 616, 10356, 689, 513, 3099, 540, 2959, 543, 676, 1210, 269, 589, 2013, 1353, 568, 513, 9183, 538, 513, 1880, 3318, 2796, 799, 1053, 616, 972, 616, 1896, 3268, 547, 1603, 606, 2626, 547, 513, 2013, 1353, 7084, 269, 11512, 519, 1114, 4485, 547, 519, 1353, 540, 5626, 3157, 3040, 4766, 930, 538, 6530, 713, 1505, 568, 1572, 2013, 1353, 538, 519, 2361, 540, 563, 5575, 267, 649, 2263, 24500, 540, 3105, 2090, 1210, 2013, 1353, 1505, 538, 544, 261, 320, 602, 10386, 568, 519, 1101, 543, 19466, 1900, 538, 519, 2013, 1353, 1382, 1374, 267, 10681, 1107, 6530, 543, 6725, 267, 929, 1107, 10986, 2689, 267, 7117, 336, 1107, 2298, 543, 269, 26592, 2409, 538, 6530, 676, 620, 828, 1729, 949, 1372, 340, 268, 565, 643, 4100, 630, 539, 3218, 264, 887, 3455, 22605, 540, 2013, 1353, 1382, 676, 7800, 523, 530, 773, 2041, 630, 539, 3218, 264, 2306, 2013, 1353, 4143, 547, 3173, 693, 1585, 5933, 540, 741, 11678, 269, 476, 274, 2395, 3516, 3184, 476, 275, 267, 8465, 2409, 281, 2013, 1353, 1374, 1153, 540, 6530, 267, 6280, 540, 1007, 24469, 267, 476, 1220, 271, 669, 578, 267, 23313, 340, 561, 8097, 1374, 547, 4163, 856, 519, 2789, 3268, 3238, 538, 1239, 11018, 543, 7664, 269, 13924, 17017, 1106, 519, 5933, 540, 519, 2013, 1353, 1505, 538, 5758, 519, 1367, 1585, 5359, 538, 6530, 630, 321, 668, 2917, 267, 476, 2735, 277, 1070, 15257, 630, 322, 637, 6202, 267, 476, 1960, 278, 269, 14674, 519, 3268, 3238, 538, 8600, 543, 7421, 513, 6093, 1305, 540, 6151, 1239, 1239, 543, 9844, 3029, 585, 1896, 1296, 538, 2013, 2055, 827, 519, 5650, 267, 899, 2890, 7809, 14133, 610, 513, 8579, 2079, 1982, 899, 838, 1087, 547, 1711, 707, 563, 303, 1886, 7859, 540, 12007, 2409, 1232, 787, 11050, 1382, 607, 30176, 519, 519, 6594, 946, 543, 4015, 540, 513, 3099, 540, 12170, 2326, 1765, 13826, 1353, 267, 4352, 649, 666, 2760, 7357, 1900, 3544, 938, 30441, 267, 25380, 2476, 689, 519, 1547, 16418, 532, 2013, 1353, 948, 689, 6325, 4648, 568, 5363, 621, 14122, 2789, 3268, 540, 3257, 1382, 543, 7421, 513, 2013, 8808, 2013, 1353, 8804, 1299, 8051, 2013, 1353, 3656, 2013, 1353, 10467, 6530, 2013, 1353, 269, 589, 2013, 1353, 568, 513, 3102, 1353, 540, 513, 1514, 1770, 540, 2486, 267, 799, 949, 581, 513, 1268, 267, 1920, 1895, 267, 9872, 267, 2146, 610, 2680, 269, 18983, 2153, 538, 1603, 540, 519, 21101, 267, 610, 538, 519, 2013, 540, 1065, 5766, 1429, 545, 3604, 1063, 11050, 543, 12007, 1353, 6272, 1169, 2460, 693, 1142, 1900, 267, 513, 1159, 3073, 553, 321, 867, 540, 2409, 267, 3631, 267, 2553, 543, 6530, 610, 1514, 960, 267, 519, 3498, 540, 1382, 666, 581, 9763, 689, 2185, 1114, 5380, 563, 2467, 616, 1614, 1292, 2010, 540, 10855, 2409, 281, 22423, 2409, 267, 2013, 268, 1353, 2409, 543, 5619, 2409, 713, 2376, 786, 13713, 269, 8865, 2090, 723, 1044, 2808, 513, 1382, 4640, 610, 1374, 267, 606, 6268, 1505, 267, 543, 513, 8989, 7154, 649, 5433, 2013, 1353, 1382, 729, 1271, 547, 563, 763, 2013, 24713, 344, 1935, 568, 513, 1382, 4640, 1303, 9430, 630, 628, 5557, 267, 476, 1960, 279, 264, 543, 2359, 2090, 267, 2146, 6530, 543, 2013, 24713, 344, 960, 568, 1900, 476, 274, 267, 519, 27790, 540, 17258, 568, 267, 538, 9759, 267, 835, 540, 630, 1721, 1383, 269, 19120, 5511, 1382, 267, 2013, 1353, 2409, 267, 26381, 1670, 13210, 5380, 593, 2013, 1353, 12191, 543, 519, 3741, 543, 519, 3268, 789, 4363, 519, 519, 13508, 18673, 267, 476, 3374, 263, 273, 1070, 476, 26951, 268, 25784, 269, 769, 519, 1514, 9443, 543, 1272, 9443, 267, 513, 2013, 1353, 568, 513, 1382, 1505, 5473, 606, 519, 4611, 1560, 540, 1412, 13826, 1353, 1382, 262, 814, 1279, 1185, 513, 7986, 1747, 538, 1082, 10459, 543, 22825, 267, 8151, 689, 6530, 267, 19795, 11783, 1496, 4338, 17928, 7709, 734, 316, 0, 288, 7356, 320, 661, 684, 823, 3992, 267, 476, 1001, 279, 268, 5400, 268, 1691, 476, 1428, 281, 6812, 281, 4905, 269, 4841, 5581, 9577, 543, 2697, 1806, 543, 1875, 1806, 540, 9577, 609, 519, 2016, 3403, 13050, 1584, 7515, 269, 4303, 2221, 2621, 899, 547, 8463, 3694, 2501, 1434, 585, 3403, 3977, 1523, 269, 2641, 4306, 11416, 16497, 281, 589, 11785, 11334, 5742, 19541, 2488, 4199, 585, 713, 1888, 563, 294, 1495, 320, 27190, 344, 3992, 267, 476, 1001, 279, 268, 5400, 268, 1691, 476, 1321, 281, 6246, 281, 1691, 269, 5213, 1405, 7340, 547, 2259, 1175, 1317, 596, 1810, 1405, 723, 519, 942, 269, 4658, 798, 711, 2356, 3314, 827, 741, 2250, 269, 1924, 621, 3587, 2556, 585, 596, 547, 4063, 1524, 707, 4617, 2798, 1247, 596, 2259, 269, 898, 786, 948, 596, 547, 1832, 538, 1463, 5905, 609, 707, 2575, 11065, 5476, 1676, 17075, 4245, 616, 1898, 952, 596, 6999, 547, 1831, 21230, 21295, 693, 17075, 538, 513, 21230, 2110, 1974, 540, 942, 563, 298, 528, 514, 3534, 918, 686, 655, 327, 843, 3992, 267, 476, 1001, 279, 268, 5400, 268, 1691, 476, 1626, 281, 6812, 281, 6078, 269, 6496, 519, 4976, 2307, 3214, 547, 2347, 8223, 2055, 689, 513, 1650, 286, 1411, 991, 547, 1265, 6209, 2081, 547, 3313, 741, 1620, 563, 298, 611, 686, 3967, 534, 3992, 267, 476, 1001, 279, 268, 5400, 268, 1691, 476, 1724, 281, 4510, 281, 4375, 269, 3733, 560, 673, 18544, 543, 1582, 29064, 2618, 545, 575, 32203, 723, 1044, 2111, 547, 7148, 883, 1776, 7706, 267, 10155, 610, 2362, 1373, 2094, 519, 4098, 540, 942, 267, 2943, 2221, 519, 1582, 3222, 1268, 568, 538, 3406, 540, 513, 1732, 1259, 540, 1272, 269, 898, 568, 4122, 1767, 602, 649, 786, 7237, 2591, 11489, 519, 1554, 649, 5884, 269, 898, 568, 14255, 633, 547, 8263, 596, 666, 3035, 562, 597, 341, 3570, 267, 676, 4214, 519, 10700, 26556, 540, 7326, 543, 8296, 267, 1510, 1651, 584, 2590, 9465, 269, 4475, 607, 649, 4482, 2591, 267, 1928, 543, 7092, 786, 1655, 581, 14648, 607, 1018, 1272, 568, 18530, 693, 721, 267, 538, 519, 1106, 540, 1272, 4245, 888, 292, 12848, 10878, 600, 1695, 3992, 267, 476, 1001, 279, 268, 5400, 268, 1691, 476, 866, 281, 6021, 281, 4905, 269, 8672, 476, 272, 281, 2659, 5939, 568, 1360, 1271, 547, 2696, 269, 4706, 1141, 596, 543, 707, 1920, 543, 2828, 979, 547, 10847, 13924, 269, 654, 832, 327, 6235, 4906, 543, 32467, 547, 13924, 543, 1565, 3571, 6478, 519, 6426, 568, 1360, 3978, 8631, 269, 1955, 711, 6031, 596, 18085, 723, 1187, 1247, 3257, 891, 1919, 267, 855, 596, 9090, 1616, 547, 1118, 2386, 602, 950, 596, 798, 10847, 4906, 543, 7281, 547, 13924, 602, 707, 2295, 2731, 1797, 621, 543, 602, 596, 516, 711, 1175, 5910, 2056, 547, 798, 1346, 1919, 563, 295, 10154, 2725, 6511, 3992, 267, 476, 1001, 279, 268, 5400, 268, 1691, 476, 1691, 281, 2004, 281, 7918, 269, 910, 2311, 1153, 649, 723, 6266, 540, 3610, 945, 948, 721, 1451, 1114, 1919, 267, 1482, 607, 538, 1272, 269, 634, 13581, 3017, 538, 1272, 568, 649, 5310, 991, 547, 13404 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1966, 1657, 519, 7953, 1256, 1498, 1850, 1928, 1862, 4754, 2254, 11571, 7953, 1152, 513, 677, 320, 994, 320, 677, 320, 7403, 630, 2889, 343, 25341, 476, 8270, 30929, 994, 1432, 616, 519, 943, 1066, 545, 16209, 888, 541, 1047, 689, 519, 14694, 6821, 540, 519, 513, 677, 320, 547, 3761, 519, 29690, 454, 8489, 1281, 519, 524, 27112, 17657, 270, 9471, 2661, 888, 14140, 4888, 9898, 296, 3036, 19836, 3198, 6224, 538, 519, 17737, 454, 290, 27112, 834, 13700, 6064, 257, 610, 834, 9471, 4840, 1432, 568, 519, 590, 7246, 630, 27273, 1640, 8544, 10938, 545, 16050, 25145, 16149, 4888, 9898, 296, 3036, 19836, 3198, 6224, 1055, 540, 519, 513, 677, 320, 538, 519, 17737, 454, 3286, 17911, 547, 519, 524, 27112, 17657, 454, 337, 12584, 6252, 547, 519, 513, 677, 320, 267, 17911, 547, 519, 8405, 270, 7853, 540, 519, 18558, 454, 26625, 15533, 519, 1507, 16892, 543, 9938, 2711, 3935, 454, 14738, 543, 19382, 11412, 531, 16209, 454, 331, 8632, 8371, 1055, 540, 513, 677, 320, 2630, 590, 7246, 454, 514, 2536, 1640, 8544, 10938, 545, 16050, 454, 534, 10262, 2282, 536, 604, 584, 322, 566, 454, 303, 8529, 8371, 540, 519, 513, 677, 320, 630, 593, 1312, 5011, 994, 21720, 476, 8270, 659, 16209, 454, 1432, 16209, 798, 649, 1294, 888, 290, 27112, 31196, 630, 13700, 6064, 994, 1962, 21123, 540, 519, 1318, 646, 31154, 16050, 454, 10623, 2644, 519, 7086, 31041, 454, 1432, 1129, 786, 596, 1294, 593, 2475, 950, 3257, 519, 595, 27112, 2558, 6064, 888, 5353, 698, 1638, 1129, 1862, 1317, 519, 17657, 568, 2110, 621, 10943, 1080, 883, 519, 646, 31154, 543, 10943, 21329, 16209, 3533, 563, 294, 770, 1238, 31829, 531, 1488, 6670, 630, 294, 6395, 994, 10520, 2091, 2275, 1844, 983, 2497, 538, 4888, 9898, 296, 3036, 2212, 540, 18558, 630, 821, 540, 519, 834, 5674, 525, 540, 519, 21431, 5602, 290, 9720, 9764, 2497, 538, 17911, 2212, 540, 18558, 454, 294, 6395, 568, 711, 5442, 519, 18558, 855, 3297, 621, 630, 1952, 8986, 538, 519, 18558, 593, 2475, 994, 8448, 982, 519, 22050, 1238, 31829, 531, 16050, 267, 1018, 824, 8371, 2097, 1055, 540, 519, 1455, 646, 31154, 16050, 888, 1492, 19382, 22031, 1738, 16050, 454, 1492, 9406, 22031, 1738, 16050, 454, 1432, 568, 519, 4102, 7936, 1055, 540, 519, 595, 27112, 31196, 20081, 337, 6064, 888, 1492, 590, 680, 21329, 1488, 6670, 630, 6347, 994, 1432, 568, 519, 10545, 7936, 540, 519, 595, 27112, 31196, 888, 29381, 22050, 878, 1488, 6670, 454, 6343, 616, 519, 10002, 8529, 8371, 540, 519, 513, 677, 320, 888, 1432, 616, 519, 18751, 8371, 540, 519, 513, 677, 320, 888, 1432, 616, 519, 14694, 8371, 540, 519, 513, 677, 320, 888, 21720, 476, 8270, 659, 16209, 454, 15290, 17655, 513, 6077, 875, 798, 596, 3313, 621, 781, 2012, 888, 22772, 621, 781, 5169, 543, 621, 781, 1439, 4812, 815, 2012, 454, 8489, 568, 519, 22045, 1476, 26475, 888, 26171, 606, 3663, 18757, 1858, 896, 519, 18558, 454, 1432, 2306, 909, 519, 22045, 1476, 26475, 888, 763, 1858, 1141, 519, 9120, 8544, 10938, 545, 18916, 543, 519, 10943, 21329, 18916, 2743, 454, 5445, 2196, 17911, 547, 519, 18558, 543, 1106, 519, 22045, 18916, 454, 1692, 1281, 519, 590, 7246, 1413, 593, 2475, 888, 16524, 15994, 281, 8685, 331, 983, 2497, 1330, 28410, 6252, 547, 18751, 513, 677, 320, 454, 9558, 2091, 281, 9764, 2497, 18751, 547, 513, 677, 320, 543, 17911, 547, 18558, 1560, 454, 327, 14900, 268, 11303, 676, 3810, 14436, 30172, 454, 1432, 568, 590, 7246, 270, 296, 7246, 15499, 2587, 2088, 888, 4364, 673, 2783, 538, 799, 3668, 540, 1973, 3123, 4049, 9221, 24074, 454, 14738, 17669, 16050, 5288, 2451, 17669, 16050, 454, 8070, 7845, 547, 10001, 290, 454, 14006, 7845, 547, 519, 18916, 1354, 10024, 519, 554, 559, 636, 454, 322, 12973, 2047, 883, 519, 554, 559, 636, 454, 1692, 798, 596, 11571, 519, 11412, 531, 1488, 23065, 888, 16032, 1530, 523, 538, 29529, 454, 305, 6938, 6030, 17911, 547, 10001, 290, 454, 8196, 2681, 28576, 16980, 547, 5351, 14839, 454, 869, 4187, 2095, 454, 1432, 3123, 11412, 531, 1488, 6670, 853, 523, 2670, 888, 323, 17827, 593, 2475, 609, 2681, 543, 28576, 16980, 910, 3168, 585, 513, 23296, 2670, 610, 32560, 540, 519, 17669, 16050, 630, 14551, 547, 798, 1317, 596, 666, 1405, 1294, 519, 16050, 689, 519, 589, 334, 782, 519, 1259, 547, 519, 8459, 994, 1432, 616, 11412, 531, 1488, 614, 328, 8576, 748, 674, 626, 10358, 888, 5445, 666, 581, 22787, 610, 6864, 1600, 454, 7343, 792, 607, 513, 12440, 540, 8685, 983, 3889, 454, 5445, 1711, 513, 4276, 1063, 16050, 543, 18916, 454, 1432, 568, 513, 31329, 3121, 888, 320, 4276, 1063, 543, 16050, 543, 513, 18916, 454, 6635, 23065, 649, 666, 7654, 1294, 543, 991, 547, 1413, 585, 2483, 6343, 616, 519, 2101, 15532, 540, 519, 11528, 10009, 888, 21720, 476, 8270, 659, 15532, 454, 1432, 616, 930, 4128, 547, 11571, 519, 10001, 290, 888, 293, 270, 308, 6882, 13307, 2807, 20931, 540, 667, 309, 307, 454, 295, 343, 17669, 10510, 910, 1169, 942, 596, 1294, 513, 1713, 2527, 593, 519, 8459, 267, 596, 1131, 2638, 519, 10001, 290, 547, 2638, 547, 1294, 952, 519, 10510, 814, 3262, 269, 2638, 519, 17669, 18916, 607, 1134, 454, 3963, 1281, 519, 10001, 290, 8920, 622, 888, 29587, 2042, 2014, 519, 10001, 290, 547, 8920, 622, 454, 2431, 5887, 14152, 2295, 5821, 454, 322, 784, 24304, 2295, 5821, 454, 2431, 2295, 30126, 10510, 454, 15290, 519, 1318, 2427, 540, 519, 2295, 814, 2042, 621, 24864, 519, 1973, 1394, 883, 519, 10001, 290, 454, 1432, 666, 2014, 25518, 538, 519, 10001, 290, 888, 1066, 531, 1591, 26217, 454, 14814, 24405, 2670, 815, 1272, 17116, 666, 1291, 547, 513, 17422, 2377, 10008, 267, 610, 27625, 24405, 2670, 630, 25785, 609, 513, 4907, 1227, 5116, 6882, 994, 3963, 568, 519, 10001, 290, 667, 23624, 602, 568, 711, 689, 519, 2295, 888, 322, 597, 9071, 2670, 630, 331, 1853, 568, 1576, 267, 5714, 1472, 621, 267, 12150, 10665, 267, 3123, 2604, 815, 8920, 730, 18916, 994, 1432, 3123, 519, 10001, 290, 547, 581, 19316, 888, 30952, 3942, 540, 6379, 910, 30046, 540, 519, 3952, 543, 17094, 956, 454, 7356, 17257, 27164, 704, 32050, 531, 12970, 454, 515, 31154, 610, 25524, 13999, 454, 1432, 616, 930, 17244, 540, 519, 10001, 290, 888, 5793, 8306, 540, 519, 10001, 290, 454, 1432, 1281, 519, 10001, 290, 1413, 899, 593, 16953, 888, 19972, 338, 899, 513, 554, 2459, 1442, 585, 519, 6797, 454, 1432, 616, 519, 11412, 531, 26890, 1231, 888, 291, 23230, 519, 14401, 267, 2712, 1562, 543, 19076, 1023, 454, 305, 305, 309, 6030, 18751, 1055, 540, 519, 10001, 290, 454, 28384, 309, 6030, 1063, 519, 513, 677, 320, 543, 590, 7246, 454, 28384, 309, 2501, 18751, 547, 519, 589, 334, 855, 17911, 547, 519, 590, 7246, 630, 8974, 621, 994, 1692, 547, 596, 11571, 519, 11412, 531, 26890, 1231, 888, 305, 305, 309, 1655, 2938, 538, 29529, 267, 18751, 547, 519, 17669, 16050, 454, 299, 23623, 1655, 2938, 538, 29529, 18751, 547, 519, 513, 677, 320, 543, 17911, 547, 519, 590, 7246, 454, 1432, 616, 519, 22031, 1738, 26890, 1231, 888, 1692, 798, 519, 22031, 1738, 26890, 1231, 1413, 593, 2475, 888, 300, 1389, 519, 536, 22324, 1129, 538, 519, 6797, 454, 8450, 5373, 689, 11000, 454, 325, 520, 2282, 10001, 290, 543, 6094, 856, 607, 789, 979, 883, 6797, 454, 1432, 616, 519, 2101, 15532, 540, 519, 646, 31154, 910, 22045, 1062, 888, 1432, 568, 519, 22045, 18916, 888, 2005, 519, 519, 9769, 540, 519, 9120, 8544, 10938, 545, 18916, 543, 519, 10943, 21329, 18916, 454, 263, 15551, 309, 543, 25789, 994, 8489, 568, 519, 1292, 22045, 18916, 4646, 888, 14006, 7845, 547, 519, 18558, 454, 1692, 798, 649, 11571, 519, 6301, 22045, 18916, 888, 16032, 2938, 538, 29529, 607, 513, 8685, 983, 2497, 689, 18558, 2212, 547, 6797, 454, 323, 3554, 2678, 2242, 609, 759, 19418, 543, 642, 1023, 531, 9366, 454, 7538, 8006, 2999, 476, 1724, 7825, 454, 1432, 568, 519, 5800, 531, 2468, 611, 888, 21720, 23925, 13811, 454, 10520, 2091, 2070, 593, 2475, 1118, 12130, 4486, 31040, 1129, 630, 19972, 585, 10001, 290, 547, 1205, 713, 4605, 267, 10001, 290, 786, 581, 1804, 543, 1279, 268, 880, 994, 20062, 2969, 4959, 519, 3017, 1063, 519, 646, 31154, 15532, 543, 519, 22045, 15532, 888, 1320, 1157, 14436, 6821, 630, 2784, 25025, 910, 8728, 540, 519, 22045, 15532, 910, 789, 616, 20192, 8328, 994, 6503, 4724, 6797, 454, 28256, 3508, 545, 630, 29188, 2095, 814, 513, 1085, 718, 25660, 1413, 547, 621, 994, 27463, 848, 538, 8006, 607, 789, 2282, 10001, 290, 454, 6503, 2476, 689, 6797, 454, 323, 1778, 524, 31525, 611, 4724, 519, 29690, 454, 1432, 616, 930, 4128, 547, 11571, 646, 31154, 15532, 543, 22045, 15532, 888, 295, 788, 1738, 15532, 281, 5556, 24304, 9839, 23299, 630, 6224, 293, 1070, 6797, 2068, 454, 21545, 531, 26890, 1231, 281, 6797, 2068, 267, 22045, 10226, 301, 630, 30104, 11364, 994, 8489, 1281, 519, 10943, 21329, 18916, 22132, 888, 10594, 7149, 693, 519, 10943, 21329, 554, 559, 636, 454, 322, 12973, 17911, 547, 519, 18558, 454, 1692, 798, 649, 2475, 519, 10943, 21329, 18916, 888, 16308, 538, 29529, 607, 513, 8685, 983, 2497, 17911, 547, 519, 1560, 543, 2766, 540, 519, 18558, 454, 1692, 798, 649, 1294, 519, 9120, 8544, 10938, 545, 18916, 593, 2475, 888, 12895, 2938, 538, 19976, 607, 513, 8685, 983, 2497, 547, 519, 1318, 540, 519, 590, 7246, 454, 10520, 2091, 2938, 607, 513, 9764, 2497, 454, 1432, 8043, 1491, 1973, 2476, 689, 519, 2295, 888, 7617, 8043, 616, 4130, 538, 8006, 286, 3677, 888, 7617, 8043, 723, 519, 5488, 3001, 1973, 267, 16209, 610, 15532, 888, 7617, 8043, 723, 3152, 22786, 267, 16209, 610, 15532, 888, 7617, 8043, 723, 1100, 1689, 609, 19344, 286, 16209, 610, 15532, 888, 7617, 8043, 616, 2458, 2355, 1043, 888, 7617, 8043, 1491, 1973, 547, 519, 2295, 888, 7617, 8043, 723, 14887, 3001, 1973, 267, 16209, 610, 15532, 888, 7617, 8043, 723, 14887, 3001, 1973, 543, 17901, 267, 16209, 610, 15532, 888, 6518, 8043, 723, 2370, 22786, 888, 6518, 8043, 723, 513, 3677, 8006, 267, 16209, 610, 15532, 888, 7617, 16050, 568, 519, 17657, 16050, 888, 3602, 1281, 519, 513, 677, 320, 1694, 538, 519, 1560, 888, 338, 2775, 569, 2451, 540, 519, 9451, 13887, 6241, 454, 2691, 17655, 519, 513, 677, 320, 267, 875, 1281, 621, 2408, 538, 519, 29529, 7077, 888, 15132, 983, 606, 3663, 18757, 2497, 454, 1432, 4523, 547, 519, 2450, 543, 4087, 540, 519, 513, 677, 320, 607, 621, 7575, 1524, 519, 1560, 888, 21653, 281, 16795, 512, 1653, 532, 454, 331, 6327, 281, 3587, 811, 18751, 1253, 958, 454, 1432, 1614, 8371, 2097, 1055, 540, 519, 524, 27112, 17657, 888, 13349, 22031, 1738, 16050, 454, 29381, 22050, 878, 16050, 454, 3674, 1973, 2095, 1164, 610, 1970, 4187, 883, 519, 524, 27112, 7852, 270, 13700, 6064, 888, 20181, 4187, 1973, 2095, 454, 1432, 27788, 519, 524, 27112, 17657, 888, 20776, 1037, 539, 676, 6797, 267, 838, 22220, 267, 10001, 290, 267, 543, 18558, 454, 1103, 6935, 547, 519, 524, 27112, 17657, 1018, 4523, 547, 519, 13662, 309, 630, 701, 752, 30918, 4301, 6991, 264, 1310, 4189, 888, 301, 5847, 1862, 527, 3788, 24240, 563, 7617, 16050, 12599, 2059, 554, 974, 9120, 8473, 540, 519, 2212, 540, 519, 18558, 888, 763, 1455, 646, 31154, 16050, 454, 7617, 7936, 540, 519, 1455, 646, 31154, 16050, 630, 6224, 288, 264, 13788, 883, 519, 6797, 888, 19187, 22031, 1738, 16050, 454, 7617, 16050, 7727, 519, 18558, 543, 519, 5918, 31829, 636, 888, 1492, 22050, 1238, 31829, 531, 16050, 1862, 6518, 568, 513, 7936, 540, 519, 1455, 646, 31154, 16050, 563, 1432, 1281, 519, 2451, 646, 31154, 16050, 3761, 888, 1492, 1309, 644, 622, 543, 2451, 27914, 454, 6343, 1281, 519, 1318, 646, 31154, 16050, 3761, 888, 26625, 15533, 519, 1318, 27914, 540, 519, 6797, 454, 26625, 15533, 519, 7086, 31041, 3842, 519, 2166, 10973, 16050, 454, 8489, 1281, 519, 10943, 21329, 16050, 781, 12475, 6681, 1576, 1491, 621, 888, 27273, 1640, 543, 17911, 547, 519, 1560, 543, 9938, 2711, 2766, 540, 519, 18558, 454, 1432, 8219, 1281, 519, 10943, 21329, 16050, 3761, 888, 325, 1495, 639, 540, 519, 7181, 454, 1432, 568, 519, 1973, 2095, 4187, 538, 519, 10943, 21329, 16050, 888, 1692, 1281, 519, 19382 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 1297, 454, 327, 272, 284, 301, 20692, 265, 330, 13624, 567, 1948, 314, 310, 4882, 336, 544, 14389, 6540, 258, 4910, 738, 454, 2745, 24281, 1863, 28681, 267, 17742, 4483, 8107, 742, 267, 327, 284, 2580, 1037, 22607, 267, 272, 1070, 257, 310, 14370, 332, 317, 273, 14389, 264, 4840, 2745, 24281, 7142, 28681, 267, 17742, 4483, 8107, 742, 267, 327, 284, 2580, 1037, 22607, 272, 267, 273, 1070, 257, 310, 14370, 332, 317, 273, 14389, 264, 4840, 2745, 257, 5804, 1657, 621, 568, 2312, 602, 3002, 4483, 11664, 538, 7142, 28681, 568, 1454, 3677, 982, 602, 538, 1863, 28681, 5016, 1103, 1863, 28681, 267, 17742, 4483, 8107, 742, 267, 327, 284, 476, 276, 269, 274, 654, 14370, 332, 317, 273, 14389, 994, 1103, 7142, 28681, 267, 17742, 4483, 8107, 742, 267, 327, 284, 476, 1691, 269, 1321, 654, 14370, 332, 317, 273, 14389, 994, 5804, 1657, 621, 568, 2312, 602, 3002, 4483, 11664, 538, 7142, 28681, 568, 1454, 3677, 982, 602, 538, 1863, 28681, 7531, 1012, 7151, 1100, 281, 274, 269, 1789, 267, 17273, 1100, 281, 274, 269, 10695, 382, 370, 692, 1103, 1109, 314, 21172, 14158, 258, 20332, 28681, 692, 5814, 2979, 454, 258, 24868, 762, 17083, 454, 330, 284, 271, 269, 271, 2918, 5952, 567, 1948, 310, 14370, 332, 14389, 994, 341, 284, 1626, 269, 276, 265, 1015, 1262, 268, 277, 476, 1948, 11899, 14370, 332, 4732, 994, 301, 1440, 284, 271, 269, 278, 1948, 303, 8681, 339, 331, 1297, 454, 289, 9508, 284, 274, 269, 1839, 265, 1015, 1262, 268, 274, 1948, 298, 1262, 268, 272, 454, 326, 284, 280, 269, 10037, 476, 1948, 332, 14370, 338, 1262, 273, 994, 23562, 284, 18357, 476, 1948, 314, 330, 2639, 307, 318, 8882, 284, 27543, 567, 1948, 314, 298, 2639, 323, 307, 284, 23562, 6874, 318, 8882, 476, 1948, 314, 298, 2639, 299, 284, 275, 1948, 21920, 270, 19417, 476, 540, 6676, 1496, 332, 6540, 258, 15612, 566, 454, 301, 23950, 14352, 326, 265, 289, 9508, 265, 323, 307, 16732, 299, 1262, 274, 4297, 14370, 341, 1262, 273, 264, 567, 1948, 26364, 1662, 4752, 1297, 454, 258, 4131, 1526, 284, 301, 23950, 265, 301, 1440, 454, 6247, 284, 301, 23950, 265, 301, 1440, 454, 258, 306, 823, 621, 568, 3436, 1015, 1262, 280, 454, 301, 20692, 284, 271, 269, 1015, 16732, 6247, 1262, 263, 272, 269, 271, 270, 274, 269, 271, 4297, 567, 1948, 301, 639, 1088, 339, 1297, 454, 327, 284, 1037, 18217, 20692, 265, 330, 13624, 267, 272, 264, 567, 1948, 310, 14370, 338, 336, 544, 14389, 994, 310, 284, 278, 1948, 12296, 538, 1496, 332, 2639, 288, 284, 299, 265, 310, 567, 1948, 22704, 540, 3002, 4483, 538, 1496, 338, 336, 544, 2639, 304, 284, 327, 265, 288, 265, 323, 307, 825, 1948, 314, 310, 6540, 258, 4910, 738, 454, 2745, 257, 28959, 11843, 568, 2580, 304, 2437, 310, 5016, 28959, 11843, 568, 476, 2568, 273, 271, 269, 271, 654, 7531, 1012, 7151, 1100, 281, 274, 269, 4029, 267, 17273, 1100, 281, 274, 269, 10019, 382, 370, 692, 1103, 1109, 314, 13975, 14158, 258, 10403, 28681, 538, 7299, 10612, 454, 5814, 2979, 692, 258, 24868, 762, 17083, 454, 341, 284, 1240, 269, 9032, 265, 1015, 1262, 268, 277, 567, 1948, 332, 1262, 273, 4882, 454, 330, 284, 2764, 269, 9834, 265, 1015, 1262, 268, 274, 567, 1948, 310, 14370, 332, 14389, 994, 301, 1440, 284, 271, 269, 7597, 277, 454, 291, 284, 1911, 269, 271, 567, 1948, 11073, 518, 8006, 1496, 7825, 2639, 291, 284, 291, 270, 1911, 271, 825, 1948, 314, 332, 2639, 307, 325, 284, 18357, 269, 271, 476, 1948, 23742, 332, 2837, 538, 1496, 298, 2639, 23562, 284, 32699, 269, 271, 476, 1948, 314, 298, 2639, 307, 318, 8882, 284, 27840, 269, 271, 567, 1948, 314, 298, 6540, 258, 15612, 566, 454, 323, 307, 284, 23562, 6874, 318, 8882, 1948, 314, 298, 2639, 289, 9508, 284, 272, 269, 271, 20081, 325, 567, 1948, 314, 298, 1262, 268, 272, 2639, 326, 284, 280, 269, 10037, 476, 1948, 314, 332, 4882, 1262, 273, 2639, 299, 284, 274, 269, 271, 1948, 21920, 540, 10612, 1496, 332, 2639, 301, 23950, 14352, 326, 265, 289, 9508, 265, 323, 307, 16732, 299, 1262, 274, 4297, 14370, 341, 1262, 273, 264, 1948, 26364, 1662, 1993, 1297, 454, 301, 571, 284, 301, 23950, 265, 301, 1440, 454, 301, 20692, 284, 271, 269, 1015, 16732, 301, 23950, 265, 301, 1440, 264, 1262, 263, 272, 269, 271, 270, 274, 269, 271, 264, 825, 1948, 333, 639, 1088, 339, 1297, 585, 7299, 12718, 454, 327, 284, 301, 20692, 265, 330, 13624, 567, 1948, 310, 14370, 338, 336, 544, 14389, 994, 304, 318, 2421, 9078, 284, 327, 265, 4118, 32564, 265, 291, 265, 323, 307, 567, 1948, 28959, 2530, 829, 25451, 3259, 1496, 310, 8276, 6540, 258, 4910, 738, 454, 2745, 257, 17798, 267, 28959, 2530, 829, 25451, 3259, 568, 2580, 1037, 263, 304, 318, 2421, 9078, 267, 273, 1070, 257, 310, 8276, 5016, 17798, 267, 28959, 2530, 829, 25451, 3259, 568, 476, 6344, 269, 6924, 654, 8276, 7531, 1012, 7151, 1100, 281, 274, 269, 3953, 267, 17273, 1100, 281, 274, 269, 10019, 382, 370, 692, 1103, 1109, 314, 22659, 14158, 258, 28959, 2530, 829, 1770, 3259, 454, 5814, 2979, 692, 258, 24868, 762, 17083, 454, 330, 284, 271, 269, 30697, 1948, 310, 14370, 332, 14389, 454, 289, 9508, 284, 274, 269, 6860, 265, 1015, 1262, 268, 275, 1948, 298, 1262, 268, 272, 454, 24838, 284, 1911, 271, 269, 271, 825, 1948, 11899, 8276, 1262, 274, 454, 14153, 284, 279, 269, 271, 265, 1015, 1262, 268, 275, 825, 1948, 314, 11899, 14370, 332, 4732, 22708, 290, 335, 284, 275, 269, 6942, 825, 1948, 330, 297, 14370, 11899, 14389, 994, 326, 284, 280, 269, 10037, 476, 1948, 314, 332, 14370, 338, 1262, 273, 22708, 23562, 284, 27123, 269, 271, 476, 1948, 314, 298, 2639, 307, 318, 8882, 284, 29218, 269, 271, 567, 1948, 314, 298, 2639, 323, 307, 284, 23562, 6874, 318, 8882, 1948, 314, 298, 2639, 291, 284, 736, 269, 271, 825, 1948, 314, 7825, 2639, 291, 284, 291, 270, 1911, 271, 825, 1948, 314, 332, 6540, 258, 15612, 566, 454, 301, 23950, 284, 280, 269, 10037, 16732, 24838, 1262, 273, 12684, 289, 9508, 265, 323, 307, 16732, 291, 1262, 274, 19422, 14153, 1262, 273, 264, 567, 1948, 26364, 1662, 4752, 1297, 454, 290, 335, 272, 284, 290, 335, 265, 1911, 271, 269, 271, 1948, 314, 297, 21515, 14389, 2639, 301, 1440, 284, 290, 335, 272, 265, 14153, 31574, 1948, 303, 8681, 339, 331, 1297, 454, 258, 30182, 562, 639, 1088, 339, 1297, 568, 454, 301, 20692, 284, 271, 269, 7871, 16732, 301, 23950, 265, 301, 1440, 264, 1262, 263, 272, 269, 271, 270, 275, 269, 271, 994, 327, 284, 301, 20692, 265, 330, 22230, 476, 1948, 314, 310, 270, 13483, 332, 14389, 2639, 304, 318, 2421, 9078, 284, 327, 265, 4118, 32564, 265, 291, 265, 323, 307, 567, 1948, 28959, 2530, 829, 1770, 3259, 1496, 310, 8276, 6540, 258, 4910, 738, 454, 2745, 257, 28959, 2530, 829, 1770, 3259, 540, 519, 22865, 568, 2580, 1037, 263, 304, 318, 2421, 9078, 267, 272, 1070, 257, 310, 8276, 263, 4338, 24165, 311, 264, 5016, 28959, 2530, 829, 1770, 3259, 540, 519, 22865, 568, 476, 4792, 274, 269, 275, 654, 8276, 263, 4338, 24165, 311, 9239, 1012, 7151, 1100, 281, 274, 269, 3451, 267, 17273, 1100, 281, 274, 269, 5952, 382, 370, 692, 1103, 1109, 314, 20969, 14158, 258, 10403, 28681, 538, 10612, 454, 5814, 2979, 692, 258, 24868, 762, 17083, 454, 330, 284, 271, 269, 271, 4097, 6187, 567, 1948, 314, 310, 14370, 332, 270, 298, 22708, 289, 9508, 284, 273, 269, 5325, 265, 1015, 1262, 268, 274, 1948, 298, 1262, 268, 272, 454, 301, 1440, 284, 271, 269, 6924, 278, 567, 1948, 303, 8681, 339, 331, 1297, 454, 341, 284, 2918, 269, 7918, 265, 1015, 1262, 268, 277, 567, 1948, 332, 1262, 273, 4882, 454, 326, 284, 280, 269, 10037, 476, 1948, 314, 332, 4882, 1262, 273, 2639, 23562, 284, 276, 2537, 269, 271, 476, 1948, 314, 298, 2639, 307, 318, 8882, 284, 25971, 269, 271, 567, 1948, 314, 298, 2639, 323, 307, 284, 23562, 6874, 318, 8882, 1948, 314, 298, 2639, 291, 284, 271, 269, 19054, 279, 825, 1948, 314, 332, 6540, 258, 15612, 566, 454, 301, 23950, 14352, 326, 265, 289, 9508, 265, 323, 307, 16732, 291, 1262, 274, 4297, 14370, 341, 1262, 273, 264, 672, 1948, 26364, 1662, 1993, 1297, 454, 301, 571, 284, 301, 23950, 265, 301, 1440, 454, 258, 2690, 715, 571, 1447, 982, 476, 1015, 1262, 280, 267, 933, 723, 585, 8880, 12718, 454, 301, 20692, 284, 271, 269, 7871, 16732, 301, 571, 1262, 263, 272, 269, 271, 270, 275, 269, 271, 4297, 825, 1948, 301, 639, 1088, 339, 1297, 454, 327, 284, 301, 20692, 265, 330, 22230, 567, 1948, 314, 310, 4882, 336, 544, 14389, 2639, 304, 318, 2421, 9078, 284, 327, 265, 4118, 32564, 265, 291, 265, 323, 307, 567, 1948, 310, 8276, 692, 258, 4910, 738, 454, 2745, 257, 28959, 2530, 540, 3002, 4483, 829, 11281, 7003, 724, 568, 2580, 1037, 263, 304, 318, 2421, 9078, 267, 272, 1070, 257, 310, 8276, 5016, 28959, 2530, 540, 3002, 4483, 829, 11281, 7003, 724, 568, 476, 14983, 273, 269, 275, 654, 8276, 7531, 1012, 7151, 1100, 281, 274, 269, 4097, 267, 17273, 1100, 281, 274, 269, 10436, 382, 370, 692, 1103, 1109, 314, 21497, 14158, 258, 10403, 28681, 538, 6676, 454, 5814, 2979, 692, 258, 24868, 762, 17083, 454, 24838, 284, 31634, 269, 8287, 476, 1948, 291, 3748, 538, 1496, 11899, 8276, 1262, 274, 2639, 290, 335, 284, 275, 269, 21327, 265, 1015, 1262, 274, 567, 1948, 11854, 6900, 3002, 538, 1496, 297, 14370, 11899, 14389, 22708, 291, 284, 1626, 269, 271, 825, 1948, 291, 3554, 2678, 538, 1496, 9492, 2639, 291, 284, 291, 270, 1911, 1948, 314, 332, 2639, 330, 284, 271, 269, 6924, 476, 1948, 307, 615, 7356, 19428, 538, 1496, 310, 8276, 14389, 6540, 258, 15612, 566, 454, 288, 14352, 4118, 32564, 16732, 291, 270, 273, 264, 1262, 273, 994, 299, 284, 288, 14370, 4118, 32564, 265, 291, 264, 567, 1948, 21920, 284, 288, 18025, 476, 538, 1496, 332, 2639, 289, 9508, 284, 271, 269, 4037, 265, 1015, 1262, 268, 274, 476, 1948, 314, 298, 1262, 268, 272, 2639, 10401, 284, 272, 269, 6924, 265, 1015, 1262, 268, 278, 825, 1948, 314, 332, 1262, 273, 4882, 2639, 326, 284, 280, 269, 10037, 476, 1948, 314, 332, 4882, 1262, 273, 2639, 23562, 284, 29889, 269, 271, 476, 1948, 314, 298, 2639, 307, 318, 8882, 284, 29340, 269, 271, 567, 1948, 314, 298, 2639, 323, 307, 284, 23562, 6874, 318, 8882, 1948, 314, 298, 2639, 341, 284, 271, 269, 29848, 265, 1015, 1262, 268, 277, 567, 1948, 314, 332, 1262, 273, 4882, 2639, 301, 571, 14352, 326, 265, 289, 9508, 16732, 299, 1262, 274, 12684, 323, 307, 19422, 341, 265, 10401, 994, 258, 272, 269, 2690, 5440, 2627, 454, 301, 20692, 284, 271, 269, 1428, 16732, 301, 571, 264, 1262, 263, 272, 269, 271, 270, 274, 269, 271, 264, 567, 1948, 301, 639, 1088, 339, 1297, 454, 6255, 284, 301, 20692, 265, 330, 13624, 476, 1948, 28959, 4483, 8107, 742, 585, 1283, 2627, 538, 654, 14370, 332, 1262, 273, 14389, 994, 6255, 284, 1037, 263, 6255, 994, 258, 273, 269, 2690, 5377, 2627, 454, 301, 20692, 284, 271, 269, 2767, 265, 301, 571, 1262, 263, 272, 269, 271, 270, 275, 269, 271, 264, 476, 1948, 301, 639, 1088, 339, 1297, 454, 327, 321, 284, 301, 20692, 265, 330, 13624, 476, 1948, 314, 310, 4882, 336, 544, 14389, 2639, 327, 321, 284, 1037, 22607, 321, 994, 304, 14352, 6255, 266, 327, 321, 12684, 288, 265, 323, 307, 476, 1948, 314, 310, 6540, 258, 4910, 738, 454, 2745, 10454, 2557, 540, 3002, 3403, 568, 2580, 1037, 263, 304, 267, 272, 1070, 257, 310, 5016, 763, 2557, 540, 3002, 3403, 568, 476, 30130, 271, 269, 275, 654, 7531, 1012, 7151, 1100, 281, 274, 269, 3374, 267, 17273, 1100, 281, 274, 269, 9262, 382, 370, 692, 1103, 1109, 314, 23056, 14158, 258, 28959, 4483, 689, 1167, 454, 5814, 2979, 692, 258, 24868, 762, 17083, 454, 341, 284, 273, 269, 271, 265, 1015, 1262, 268, 276, 567, 1948, 314, 332, 1262, 273, 4882, 2639, 301, 1440, 284, 271, 269, 278, 1948, 303, 8681, 339, 331, 1297, 454, 330, 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 ]
[ 538, 519, 1837, 269, 1684, 711, 1331, 513, 2140, 610, 2606, 2453, 269, 3399, 1603, 519, 1543, 2047, 269, 0, 6092, 5149, 281, 10289, 634, 1670, 12054, 514, 2456, 910, 589, 23433, 11202, 3118, 538, 14451, 4065, 692, 8702, 267, 1762, 17701, 256, 4653, 267, 649, 2811, 2469, 547, 7832, 593, 606, 3078, 3460, 998, 2362, 2069, 5238, 1572, 24396, 5033, 514, 2456, 269, 1411, 1522, 4898, 1018, 2306, 891, 4025, 865, 2027, 286, 4270, 267, 1577, 781, 4685, 1318, 883, 621, 2439, 5575, 267, 1577, 781, 1174, 1141, 713, 1826, 540, 9872, 13352, 1369, 519, 1158, 540, 2069, 269, 1879, 1004, 1589, 827, 3506, 3564, 1164, 1153, 267, 789, 1419, 4952, 12621, 610, 9945, 609, 3309, 4610, 540, 1353, 899, 2257, 267, 6128, 267, 3332, 267, 1686, 267, 1870, 267, 1148, 267, 543, 811, 269, 1717, 267, 972, 6818, 1776, 2189, 7121, 540, 3872, 24284, 1634, 607, 24396, 5033, 514, 2456, 269, 1452, 616, 7463, 3506, 5097, 5059, 593, 3450, 4984, 543, 17035, 780, 3086, 596, 949, 2307, 267, 834, 1432, 1281, 835, 1451, 693, 513, 24396, 5033, 2435, 8119, 4279, 2243, 256, 2311, 513, 24396, 5033, 2435, 267, 1053, 5490, 2620, 883, 3909, 5931, 267, 5389, 267, 24866, 267, 543, 2853, 269, 1358, 1353, 1585, 3344, 540, 741, 6074, 5132, 971, 607, 13400, 4654, 630, 3697, 12355, 610, 5259, 1070, 7664, 540, 10723, 30920, 267, 5939, 1686, 267, 7881, 267, 10847, 267, 5718, 1983, 267, 13508, 2553, 267, 543, 1454, 811, 269, 901, 3102, 2866, 22316, 873, 585, 5107, 538, 18591, 267, 11024, 21622, 1097, 267, 3450, 267, 1382, 267, 543, 824, 22825, 7674, 3909, 2950, 780, 4131, 803, 2671, 606, 1383, 547, 948, 9414, 713, 2417, 269, 5994, 9683, 513, 4190, 26720, 3366, 676, 513, 1347, 29487, 2250, 528, 945, 20205, 3532, 28005, 976, 1169, 10732, 269, 2334, 2250, 528, 2693, 13984, 513, 24396, 5033, 2435, 547, 24917, 1010, 6340, 5759, 267, 2744, 3573, 1702, 540, 519, 6426, 267, 543, 1020, 2178, 5718, 7907, 547, 3391, 1010, 30798, 3927, 269, 6684, 267, 6413, 11024, 680, 1622, 1223, 849, 4324, 689, 4974, 693, 513, 24396, 5033, 2435, 269, 4256, 6437, 1131, 11168, 3246, 4313, 543, 1489, 16135, 538, 5289, 3741, 1282, 4101, 2053, 780, 2791, 1522, 581, 11842, 952, 11504, 513, 24396, 5033, 2435, 1797, 4142, 21899, 707, 1272, 547, 2407, 6066, 3909, 960, 269, 2755, 1082, 20021, 798, 4196, 538, 3909, 4938, 725, 267, 1866, 4019, 741, 9715, 7326, 543, 1983, 538, 3875, 2081, 3544, 2757, 1295, 31559, 269, 2368, 1831, 6107, 3401, 267, 1514, 4600, 267, 2146, 25696, 267, 18758, 9946, 267, 610, 1256, 11639, 6273, 676, 5683, 2418, 1128, 2683, 538, 873, 1282, 741, 2090, 780, 2026, 2518, 4961, 2713, 538, 606, 5051, 10562, 1158, 267, 1620, 1114, 4529, 267, 4978, 267, 543, 1871, 1949, 3587, 1898, 269, 12056, 609, 3309, 5380, 11942, 6568, 267, 2463, 267, 543, 9316, 1851, 2043, 543, 7239, 269, 1635, 1565, 827, 24396, 5033, 514, 2456, 267, 596, 723, 3144, 513, 1900, 2509, 19825, 519, 3638, 13795, 540, 1480, 2833, 8032, 676, 9867, 5289, 10092, 780, 1103, 3932, 267, 1175, 607, 2564, 3506, 5721, 2104, 7189, 610, 1876, 3506, 5965, 14971, 17864, 267, 24396, 5033, 514, 2456, 11349, 17519, 543, 1134, 25668, 5792, 3909, 3401, 543, 5640, 269, 5664, 1153, 1053, 899, 596, 666, 1376, 3695, 891, 10058, 5238, 1631, 267, 26354, 7279, 827, 1761, 4876, 3255, 543, 15400, 1565, 9035, 32261, 1524, 519, 4155, 269, 8414, 12423, 256, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 273, 269, 19881, 3194, 543, 9085, 5623, 454, 15812, 532, 922, 835, 4627, 628, 16683, 538, 476, 2735, 279, 267, 519, 2817, 22127, 5980, 20827, 513, 11829, 1575, 5619, 547, 1449, 519, 10923, 1702, 540, 1762, 4079, 5001, 269, 4892, 19486, 15795, 856, 540, 519, 5216, 2477, 23500, 267, 6619, 540, 7977, 543, 6792, 269, 26062, 21144, 1296, 2663, 519, 5980, 20827, 519, 5619, 1586, 269, 634, 2817, 22127, 1700, 305, 6016, 476, 1220, 273, 6820, 22127, 17402, 11752, 267, 5950, 538, 5437, 476, 1220, 273, 267, 23500, 936, 476, 274, 267, 1822, 1762, 4079, 538, 8370, 2477, 267, 1519, 519, 2136, 2276, 269, 2991, 8938, 21144, 1296, 1977, 1053, 535, 1563, 1100, 1732, 267, 20823, 1985, 547, 2063, 269, 4934, 540, 15823, 29350, 2055, 4280, 267, 519, 3328, 1977, 12943, 1152, 8938, 31644, 7157, 269, 7917, 12815, 528, 267, 7548, 540, 4139, 9534, 693, 1977, 2160, 267, 1767, 267, 968, 763, 5619, 9727, 519, 13664, 2192, 3438, 2329, 540, 519, 2136, 2276, 269, 634, 2164, 616, 3226, 813, 16226, 538, 1769, 540, 5181, 476, 1556, 267, 799, 911, 15436, 1242, 3013, 543, 7000, 602, 938, 22038, 568, 1071, 3010, 2237, 606, 2502, 543, 3015, 1576, 1770, 538, 513, 1837, 585, 1647, 1153, 1053, 1644, 547, 519, 1349, 1657, 267, 2519, 593, 834, 763, 1670, 12054, 514, 2456, 257, 607, 851, 540, 834, 3633, 24102, 1315, 12140, 1315, 20946, 1315, 14451, 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, 12833, 3183, 13336, 2142, 6814, 3414, 681, 2317, 595, 8463, 585, 6555, 1588, 543, 9608, 12618, 692, 272, 269, 2878, 294, 1430, 2556, 2326, 4995, 1677, 2253, 1045, 3183, 6891, 581, 6814, 998, 2196, 324, 16213, 267, 596, 786, 991, 513, 1305, 540, 1134, 2275, 2761, 539, 2196, 324, 10007, 267, 513, 9602, 543, 6899, 2230, 267, 543, 606, 1930, 543, 32615, 14820, 563, 273, 269, 2878, 27662, 572, 543, 13394, 3433, 707, 2196, 525, 4995, 6969, 1210, 707, 2196, 324, 10007, 267, 2973, 572, 873, 540, 1022, 2942, 1648, 610, 7506, 269, 901, 666, 581, 2944, 676, 8429, 873, 998, 8673, 689, 8781, 27041, 610, 1651, 1619, 267, 11093, 873, 538, 1463, 7943, 610, 7599, 2775, 267, 610, 1210, 14839, 2553, 547, 1625, 1518, 873, 269, 4495, 18274, 539, 267, 13394, 3433, 707, 2196, 525, 676, 4142, 21899, 873, 547, 707, 5289, 2259, 543, 28093, 5224, 873, 609, 2318, 15752, 563, 274, 269, 2878, 7093, 6768, 707, 2230, 4995, 4855, 513, 9602, 267, 30411, 6954, 4087, 1141, 596, 666, 20354, 1694, 610, 9114, 1524, 1282, 707, 2196, 324, 16213, 8400, 269, 1411, 949, 6999, 547, 3986, 519, 5790, 609, 22250, 267, 22196, 2575, 267, 610, 824, 2609, 602, 3895, 11005, 543, 1445, 563, 275, 269, 2878, 11767, 513, 1199, 5511, 1533, 4995, 6969, 4098, 519, 2196, 324, 16213, 1184, 267, 6108, 930, 942, 1298, 1359, 3054, 543, 21757, 707, 2247, 269, 6875, 3500, 267, 2620, 24967, 267, 543, 1450, 707, 4555, 547, 20847, 2476, 269, 10312, 593, 707, 9837, 585, 1045, 3183, 6891, 581, 6814, 1107, 2436, 621, 581, 585, 5583, 267, 7326, 267, 2123, 2208, 267, 610, 1776, 3483, 563, 276, 269, 2878, 8620, 513, 8825, 5858, 630, 28436, 264, 4995, 1403, 596, 1745, 811, 5150, 610, 5059, 950, 8026, 2820, 1588, 267, 2015, 2870, 513, 8825, 5858, 1472, 3054, 1354, 4358, 269, 10439, 1125, 513, 11064, 540, 1769, 4478, 596, 267, 530, 8973, 1055, 1022, 13311, 19367, 610, 7506, 563, 277, 269, 2878, 290, 770, 519, 2196, 525, 4995, 15579, 707, 2196, 324, 533, 13224, 610, 8708, 538, 1312, 3946, 267, 2519, 593, 707, 9837, 269, 28528, 21199, 519, 9126, 267, 3850, 519, 2196, 525, 547, 3575, 543, 544, 17532, 269, 1879, 596, 1745, 4712, 267, 21383, 519, 2196, 525, 5196, 513, 12308, 610, 2627, 538, 4395, 540, 596, 269, 8564, 1614, 2196, 525, 602, 3100, 547, 2721, 707, 3007, 610, 1796, 856, 538, 930, 1259, 269, 1452, 616, 519, 2196, 525, 602, 786, 3391, 707, 2792, 609, 519, 6891, 28458, 563, 278, 269, 2878, 11328, 13133, 519, 2196, 525, 4995, 4635, 513, 11967, 2196, 324, 10096, 4704, 610, 707, 1378, 20932, 267, 4612, 519, 6074, 2196, 525, 538, 6935, 547, 707, 3312, 2243, 610, 8247, 269, 5901, 538, 2247, 602, 1114, 2196, 324, 29282, 666, 1683, 8795, 2157, 540, 1469, 543, 5813, 269, 1280, 1383, 267, 513, 2241, 2250, 1790, 6974, 1922, 1956, 3262, 1522, 2709, 2489, 5583, 267, 1247, 513, 811, 1950, 11768, 1223, 5490, 4514, 883, 1808, 3344, 540, 707, 3510, 563, 279, 269, 2878, 1103, 341, 5803, 519, 6891, 28458, 4995, 2060, 707, 2196, 545, 7664, 607, 513, 3391, 267, 16436, 513, 6891, 28458, 2404, 609, 1346, 2196, 525, 547, 6443, 596, 538, 707, 10723, 2230, 269, 2422, 14839, 2553, 547, 4952, 519, 13442, 17729, 1354, 596, 267, 2901, 9308, 610, 3090, 1227, 269, 28423, 16965, 610, 3623, 1836, 267, 11589, 707, 2463, 543, 14696, 585, 922, 4527, 563, 280, 269, 2878, 15973, 6510, 609, 519, 6891, 28458, 4995, 18918, 538, 513, 5188, 609, 519, 6891, 28458, 267, 6998, 2055, 610, 5275, 5796, 1644, 547, 707, 3355, 8247, 269, 9796, 2673, 3007, 547, 1022, 10444, 24221, 267, 4664, 267, 610, 4030, 602, 8451, 1282, 713, 5385, 269, 11565, 707, 26756, 543, 2611, 1930, 547, 8726, 6835, 519, 6891, 28458, 3091, 563, 1015, 269, 2878, 2750, 12304, 14696, 543, 5305, 519, 6891, 28458, 4995, 4495, 707, 6643, 7959, 2347, 267, 9684, 519, 6891, 28458, 585, 4687, 922, 7326, 543, 5583, 269, 14190, 621, 547, 2132, 547, 922, 7706, 267, 6616, 602, 596, 666, 1289, 2390, 922, 6351, 1586, 538, 2104, 2196, 324, 16213, 7886, 563, 1556, 269, 2878, 8269, 937, 593, 519, 1995, 4995, 2991, 707, 2196, 324, 16213, 543, 6891, 28458, 7237, 267, 1491, 930, 942, 547, 2992, 593, 1022, 4030, 610, 11240, 725, 602, 7153, 269, 6333, 30998, 610, 7234, 707, 2833, 609, 513, 11967, 3659, 610, 21927, 269, 3683, 942, 267, 596, 949, 1265, 602, 2834, 2792, 609, 6891, 581, 6814, 998, 2196, 324, 16213, 2488, 3407, 4245, 543, 1489, 593, 707, 2619, 2509, 1582, 22523, 543, 21481, 269, 0, 2080, 568, 606, 1349, 689, 513, 2546, 912, 257, 289, 11481, 15310, 22210, 518, 623, 1571, 1744, 1046, 26653, 910, 631, 298, 5240, 454, 1708, 273, 268, 6021, 268, 2767, 2073, 1548, 568, 1655, 547, 6633, 17987, 3170, 1547, 17987, 3170, 6633, 518, 21447, 16356, 7382, 543, 1281, 2324, 856, 2612, 6633, 17987, 3170, 2073, 594, 991, 547, 6336, 476, 1789, 6550, 563, 5278, 1004, 1223, 711, 948, 24948, 19975, 269, 4415, 519, 14713, 540, 667, 7776, 8056, 677, 531, 568, 1101, 1377, 13140, 267, 646, 729, 2111, 547, 3035, 971, 513, 1377, 563, 14367, 5639, 729, 6366, 267, 855, 646, 798, 713, 6633, 3170, 8039, 1185, 513, 7873, 525, 322, 2056, 3159, 267, 607, 952, 646, 729, 3168, 1524, 693, 1010, 26110, 563, 2710, 711, 2307, 1932, 1454, 267, 798, 711, 22393, 3406, 267, 1175, 7281, 602, 621, 1281, 711, 12687, 909, 563, 4263, 713, 942, 267, 972, 568, 1100, 991, 585, 873, 547, 4339, 269, 4131, 891, 6891, 581, 6814, 2597, 2530, 10788, 6238, 609, 513, 14526, 1101, 267, 865, 602, 519, 4222, 540, 891, 6891, 581, 6814, 786, 581, 10057, 267, 543, 1287, 789, 786, 1491, 2962, 563, 4131, 519, 824, 5428, 11753, 883, 519, 9997, 14951, 8258, 267, 543, 1287, 596, 666, 3142, 621, 1018, 3536, 786, 1205, 7759, 540, 17987, 3170, 856, 563, 4517, 519, 1249, 568, 602, 621, 568, 7868, 1895, 540, 26112, 945, 32357, 1524, 23362, 267, 1256, 952, 789, 11124, 267, 941, 2047, 1159, 14414, 676, 11110, 13914, 540, 513, 2140, 585, 513, 14392, 2376, 1369, 519, 6389, 540, 834, 305, 2317, 595, 8463, 9828, 257, 607, 851, 540, 834, 289, 7495, 312, 267, 631, 18853, 1299, 9501, 7644, 3951, 1315, 6555, 1588, 1315, 14840, 525, 257, 602, 1223, 581, 1644, 547, 519, 1349, 1657, 269, 3973, 2328, 476, 513, 1279, 543, 1360, 2143, 5850, 827, 519, 2140, 596, 8359, 267, 538, 519, 2511, 540, 15825, 269, 634, 1543, 1058, 723, 519, 1739, 3898, 281, 7170, 23901, 12133, 25776, 21234, 285, 1007, 1899, 2999, 12133, 25996, 25606, 20101, 1684, 711, 1039, 1022, 3063, 1257, 7713, 1946, 596, 8359, 519, 2140, 563, 2521, 547, 1384, 268, 3417, 538, 3829, 3137, 585, 1142, 1900, 543, 875, 621, 2337, 3035, 519, 5551, 6364, 267, 1519, 1883, 4388, 543, 4808, 563, 268, 3550, 9355, 543, 16566, 538, 519, 15825, 5850, 267, 3850, 3988, 547, 3362, 1246, 543, 4019, 519, 5528, 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 ]
[ 3264, 10780, 16417, 9686, 13150, 3522, 8563, 4138, 31224, 31502, 286, 1315, 2904, 594, 6338, 8885, 888, 280, 269, 2843, 495, 7846, 9686, 7846, 476, 13077, 9686, 10780, 21134, 3378, 10948, 9841, 1315, 594, 9364, 581, 6126, 547, 4217, 454, 1015, 269, 2843, 500, 9686, 7846, 11714, 3522, 20732, 3264, 15671, 3378, 16068, 4344, 8563, 20046, 3522, 1315, 18391, 4464, 547, 6217, 689, 596, 692, 20797, 11314, 281, 10020, 2452, 1585, 7653, 8506, 6101, 2792, 267, 6220, 891, 2453, 6923, 1369, 707, 19929, 780, 14945, 265, 12218, 476, 275, 281, 23016, 24366, 6657, 22177, 8266, 523, 547, 8301, 19827, 10023, 5065, 10529, 2348, 6101, 7391, 538, 1585, 5468, 971, 607, 2816, 11042, 267, 6075, 3028, 7125, 267, 543, 6280, 15872, 269, 10576, 799, 11578, 789, 2811, 1210, 543, 1946, 269, 3973, 2626, 8223, 2055, 1644, 547, 1543, 267, 3159, 267, 543, 2686, 16082, 780, 14945, 265, 12218, 476, 276, 281, 5623, 1299, 10495, 22177, 28415, 513, 3102, 2689, 3635, 8720, 782, 2035, 4121, 3976, 2484, 538, 8791, 476, 272, 269, 12160, 622, 538, 1895, 5717, 9236, 1977, 5288, 269, 6739, 9821, 4478, 2184, 8864, 543, 1106, 1275, 269, 7053, 267, 4497, 538, 1909, 25178, 2238, 12570, 707, 2702, 547, 2226, 1697, 27861, 543, 28972, 538, 3309, 6101, 7653, 780, 14945, 26835, 22934, 585, 8791, 476, 273, 267, 1141, 649, 5490, 4514, 883, 1808, 2994, 585, 10647, 3811, 16395, 267, 12419, 14245, 267, 543, 811, 256, 5457, 267, 834, 577, 718, 3188, 7608, 257, 1797, 8508, 1169, 4316, 547, 1332, 543, 2087, 1107, 1832, 11319, 3054, 267, 543, 4166, 2614, 267, 6101, 7391, 786, 1831, 2034, 2470, 269, 2843, 498, 3378, 11714, 13150, 16417, 10948, 4138, 256, 0, 2237, 513, 1279, 543, 1360, 2143, 1576, 1770, 585, 513, 1837, 593, 834, 305, 11701, 585, 11595, 4325, 5474, 267, 5822, 22588, 257, 5497, 585, 1164, 1153, 1053, 563, 2171, 723, 2907, 4988, 3184, 4433, 264, 834, 272, 269, 4985, 2580, 834, 273, 269, 7335, 543, 1603, 1983, 257, 543, 616, 1631, 1603, 513, 3184, 593, 834, 274, 269, 31131, 2792, 8487, 2171, 723, 2907, 4988, 519, 1739, 1016, 26972, 538, 519, 1699, 3184, 281, 834, 274, 269, 272, 269, 18500, 543, 2453, 585, 6101, 5468, 2580, 834, 274, 269, 273, 269, 5675, 6101, 5022, 543, 15737, 8487, 2237, 519, 1007, 1016, 15492, 11331, 834, 274, 269, 274, 269, 18430, 532, 6101, 7391, 257, 1247, 3843, 547, 581, 912, 268, 21004, 910, 596, 1711, 4101, 9499, 602, 3382, 519, 1570, 538, 3178, 563, 268, 12056, 910, 707, 9499, 723, 513, 2239, 9095, 543, 2502, 3159, 267, 899, 519, 1603, 540, 7812, 11066, 563, 268, 11930, 910, 596, 946, 1808, 543, 4052, 1806, 269, 1280, 1383, 267, 952, 519, 1888, 568, 5610, 538, 11810, 267, 1331, 4834, 543, 15997, 540, 519, 1523, 596, 2811, 3450, 269, 1306, 1776, 1383, 267, 952, 519, 1888, 568, 519, 1686, 540, 519, 2136, 2276, 267, 1331, 7389, 267, 4408, 267, 543, 1883, 2621, 563, 8196, 1893, 543, 1806, 602, 1131, 9305, 609, 18295, 1053, 13326, 3872, 22759, 609, 10333, 269, 634, 3804, 568, 547, 1118, 519, 1888, 3839, 543, 1187, 267, 26354, 7279, 827, 875, 621, 10039, 547, 4948, 1272, 269, 0, 1879, 594, 1101, 3323, 2324, 693, 1250, 1699, 2754, 267, 594, 729, 835, 540, 1152, 1079, 7489, 4892, 593, 513, 2319, 540, 936, 15823, 1004, 269, 1306, 606, 28048, 10178, 540, 918, 1790, 641, 2575, 543, 11114, 5559, 553, 267, 594, 1419, 1336, 8885, 4743, 9678, 1282, 12899, 5503, 7391, 827, 1977, 5026, 610, 4641, 7641, 2982, 269, 1717, 267, 1919, 3576, 606, 3078, 2490, 950, 938, 15679, 8257, 5189, 513, 2686, 2069, 11036, 1572, 834, 299, 4875, 543, 6258, 2437, 1141, 5520, 1223, 2671, 741, 2189, 4529, 543, 5389, 936, 12899, 780, 296, 23362, 8067, 1229, 547, 1459, 513, 8400, 593, 3162, 9705, 267, 2519, 593, 922, 1402, 2528, 7613, 269, 1677, 1118, 519, 6881, 811, 7317, 267, 594, 11368, 930, 2442, 7544, 7575, 689, 918, 1790, 641, 8964, 543, 1256, 5423, 513, 1906, 2757, 11114, 2427, 8286, 585, 3025, 547, 2119, 269, 3733, 9164, 941, 22992, 5461, 543, 3507, 894, 540, 1565, 1945, 1007, 267, 799, 1500, 803, 1745, 11212, 12595, 543, 3769, 269, 898, 849, 17275, 1082, 4277, 7391, 267, 3850, 721, 782, 547, 1921, 593, 513, 4514, 1377, 780, 19013, 267, 5103, 713, 2318, 1995, 267, 594, 1869, 11402, 8320, 540, 11029, 14882, 1369, 519, 5604, 269, 1280, 1383, 267, 972, 941, 2053, 950, 32283, 619, 1131, 8263, 594, 7012, 1405, 21295, 538, 2296, 1317, 540, 1250, 14940, 269, 1452, 2890, 12000, 11306, 2813, 11991, 7496, 1063, 721, 267, 1818, 803, 2243, 2436, 594, 5963, 20705, 269, 30586, 267, 1310, 11504, 1896, 4763, 543, 10014, 11925, 3177, 676, 519, 2754, 267, 594, 6591, 519, 6015, 547, 2232, 891, 2152, 2047, 609, 1250, 9905, 269, 4107, 540, 519, 942, 267, 789, 14201, 1405, 3222, 540, 875, 741, 1913, 1522, 723, 2097, 2066, 267, 543, 649, 941, 2111, 547, 2312, 909, 1022, 21390, 780, 5978, 3919, 849, 3964, 606, 31287, 12754, 6828, 630, 2207, 294, 264, 4481, 23695, 547, 26173, 18441, 267, 5356, 513, 2922, 2230, 585, 1930, 5188, 543, 4687, 2833, 269, 3414, 713, 18317, 294, 267, 594, 1558, 1866, 945, 1185, 2147, 2984, 543, 5433, 23518, 547, 12167, 585, 6000, 543, 3895, 1689, 1369, 519, 2754, 269, 1284, 6896, 2621, 5059, 593, 14120, 1585, 2686, 14812, 267, 18136, 782, 5520, 547, 6443, 538, 519, 7908, 8481, 269, 3776, 3646, 5280, 11349, 606, 5051, 8537, 5790, 1141, 1169, 1367, 5433, 2938, 267, 4862, 267, 543, 15874, 780, 19185, 1394, 267, 11836, 713, 15866, 1875, 268, 2026, 1014, 13781, 814, 1044, 1312, 4101, 543, 14785, 269, 1635, 5807, 2686, 4656, 267, 5466, 17499, 12886, 267, 543, 2870, 3255, 585, 9758, 4276, 267, 711, 1152, 1705, 594, 1332, 13948, 855, 849, 8329, 547, 2679, 513, 6793, 267, 811, 28450, 2146, 693, 960, 269, 769, 3257, 865, 267, 594, 7691, 602, 3020, 13784, 6238, 609, 2921, 1507, 3268, 2509, 8840, 1524, 7496, 1765, 821, 6643, 267, 13186, 267, 543, 11018, 693, 513, 942, 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, 24685, 1018, 2081, 666, 7489, 5520, 1745, 6462, 543, 12595, 538, 15866, 1875, 268, 2026, 1014, 960, 5054, 888, 272, 269, 8836, 2069, 281, 18964, 3444, 14426, 2866, 585, 782, 5520, 267, 1519, 1875, 268, 2026, 2103, 267, 666, 948, 873, 5660, 543, 2463, 519, 3309, 10080, 540, 741, 1071, 22086, 619, 269, 901, 666, 581, 2944, 998, 11925, 267, 29468, 267, 543, 2866, 7886, 780, 273, 269, 5678, 1489, 281, 6348, 268, 2026, 1014, 3549, 666, 1683, 1893, 1489, 971, 607, 1893, 5049, 543, 19636, 1129, 720, 547, 948, 741, 7489, 5520, 1745, 6899, 543, 8746, 538, 741, 9036, 780, 274, 269, 8073, 606, 8537, 1604, 281, 11559, 1514, 19771, 602, 1683, 3160, 4316, 585, 782, 5520, 547, 2170, 543, 917, 1142, 824, 780, 275, 269, 17372, 11475, 543, 9186, 281, 7489, 5520, 538, 513, 5375, 960, 1604, 949, 3068, 14882, 267, 543, 621, 781, 1271, 547, 2232, 891, 12886, 602, 666, 1291, 547, 7130, 267, 17499, 610, 6857, 780, 276, 269, 12754, 2516, 281, 6348, 268, 2026, 1014, 3906, 666, 1711, 9441, 4199, 2516, 602, 3142, 547, 613, 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, 3848, 476, 277, 281, 28552, 10046, 2276, 910, 4498, 1145, 532, 27065, 585, 9608, 12618, 543, 4270, 7424, 692, 1103, 938, 5051, 1950, 1158, 267, 621, 814, 1831, 1898, 547, 11349, 2853, 602, 3895, 2790, 9716, 267, 30840, 267, 543, 2123, 2208, 269, 7324, 891, 2853, 267, 2502, 609, 3860, 2238, 543, 18697, 6585, 1713, 1761, 585, 5807, 1018, 12021, 18673, 631, 8811, 3315, 595, 19561, 802, 345, 550, 332, 8811, 3315, 328, 17941, 607, 1412, 6503, 262, 2829, 269, 901, 3184, 12538, 883, 519, 1523, 540, 2095, 2829, 543, 922, 4276, 547, 5876, 267, 3695, 875, 26378, 883, 891, 6099, 2833, 666, 1291, 547, 7096, 1582, 25298, 2640, 780, 296, 269, 4197, 10046, 2276, 692, 4263, 519, 2295, 540, 8026, 2095, 2829, 6013, 519, 2856, 540, 1373, 4628, 27153, 543, 7722, 538, 606, 2534, 267, 1141, 3007, 267, 5578, 267, 543, 4161, 32069, 27721, 269, 4438, 971, 8090, 267, 2043, 1995, 513, 15398, 2631, 540, 1852, 267, 1445, 267, 543, 20106, 282, 942, 4667, 547, 2112, 335, 267, 543, 1582, 23655, 4555, 973, 27827, 883, 519, 4282, 269, 1452, 6099, 2833, 616, 1419, 5219, 547, 607, 1412, 6503, 262, 2829, 1813, 547, 741, 5714, 267, 4674, 1652, 2470, 780, 12336, 328, 802, 345, 550, 332, 8811, 3315, 328, 1064, 1243, 602, 8236, 2095, 5673, 593, 11495, 513, 10347, 3666, 1063, 9228, 2591, 543, 1983, 269, 1879, 5185, 609, 4247, 602, 5594, 20546, 835, 781, 5759, 2943, 2611, 19242, 267, 606, 1367, 3587, 811, 2693, 547, 4283, 513, 1533, 540, 2095, 269, 28304, 971, 2591, 5012, 547, 4606, 540, 22920, 543, 9547, 267, 17923, 17271, 8404, 543, 8716, 4797, 6278, 538, 2147, 2238, 780, 2862, 269, 634, 28249, 9737, 27065, 543, 10046, 692, 24478, 633, 18129, 1683, 15417, 2666, 585, 7680, 2095, 2829, 269, 3203, 2065, 4082, 4749, 7569, 5059, 5834, 267, 11319, 6302, 1247, 8195, 5356, 3255, 585, 17117, 269, 5047, 267, 3860, 3157, 20244, 4125, 2609, 540, 3209, 1399, 543, 6988, 267, 799, 666, 12954, 7279, 543, 5352, 1719, 1107, 1883, 3334, 538, 24254, 2095, 2833, 780, 29012, 267, 3875, 5159, 543, 1525, 1161, 723, 4080, 10024, 2095, 2829, 1282, 741, 960, 269, 1290, 1842, 518, 6723, 717, 619, 327, 7773, 2899, 4330, 1010, 5888, 531, 1184, 607, 5205, 281, 968, 2005, 568, 1360, 2352, 547, 1832, 707, 2247, 22934, 538, 547, 519, 4090, 1862, 8117, 952, 596, 616, 2731, 3238, 538, 621, 267, 596, 1810, 1406, 1589, 267, 596, 1175, 798, 1848, 6270, 6589, 20838, 519, 15982, 2078, 1063, 7499, 5137, 543, 2095, 2833, 780, 7656, 269, 11588, 540, 12056, 538, 11300, 11242, 585, 19793, 1324, 10046, 2276, 692, 8777, 1645, 538, 3860, 18697, 3091, 1896, 5383, 950, 20678, 547, 3035, 2095, 2829, 269, 17616, 267, 3860, 2238, 3335, 1450, 585, 13190, 543, 3903, 267, 7175, 2043, 547, 2824, 3785, 602, 5447, 609, 741, 4690, 543, 5759, 269, 19627, 267, 3860, 18129, 1419, 4125, 1930, 25804, 3853, 267, 3246, 15792, 4055, 585, 3408, 543, 6602, 1510, 14461, 10148, 269, 14936, 267, 1082, 3029, 540, 3860, 4082, 6536, 7525, 5955, 17787, 267, 3850, 9439, 547, 15378, 3356, 543, 4188, 2994, 9935, 1107, 782, 2565, 2188, 538, 14123, 2095, 2833, 780, 4353, 269, 7464, 21509, 10241, 543, 7351, 12367, 692, 9213, 267, 1585, 3906, 5431, 519, 1871, 540, 6220, 3860, 2238, 543, 2095, 2829, 883, 3292, 6322, 693, 5009, 8171, 543, 2123, 2208, 269, 1280, 3236, 267, 1148, 3797, 814, 7153, 607, 513, 2442, 1935, 585, 5466, 2790, 1072, 4145, 267, 554, 15781, 2390, 519, 9354, 1761, 540, 7499, 4082, 543, 2404, 2095, 2833, 269, 6684, 267, 7341, 899, 7327, 532, 585, 25016, 2657, 15407, 3860, 4497, 906, 547, 1489, 2043, 6849, 5312, 10108, 267, 3854, 1944, 593, 519, 13006, 12214, 543, 5626, 2640, 540, 13465, 543, 2095, 2829, 780, 11101, 267, 6639, 7760, 723, 21490, 519, 1259, 585, 10124, 538, 3059, 2645, 2966, 547, 7520, 2095, 2833, 998, 3860, 18697, 269, 29393, 971, 607, 31230, 2711, 543, 7736, 1652, 22843, 6338, 1453, 547, 2596, 8193, 3741, 3842, 7317, 2575, 543, 14318, 5888, 267, 5807, 1312, 5876, 543, 2095, 2829, 269, 11531, 267, 5867, 899, 28220, 7901, 8597, 547, 14971, 3059, 26719, 267, 5356, 16022, 17103, 602, 5512, 3755, 547, 4603, 609, 1114, 26814, 267, 4778, 267, 543, 2553, 267, 7551, 16715, 7496, 547, 7127, 543, 1818, 2095, 11897, 1424, 3860, 2833, 3015, 547, 9962, 9458, 780, 309, 269, 10390, 692, 2026, 649, 6330, 606, 2479, 21608, 5251, 678, 1057, 609, 2591, 543, 24604, 267, 3384, 21941, 538, 17034, 2095, 2829, 998, 3860, 2238, 17648, 14063, 2956, 269, 1635, 28798, 938, 2702, 547, 7148, 883 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 30475, 281, 6154, 752, 634, 631, 26663, 14886, 1222, 4828, 16032, 5441, 4828, 8871, 14186, 278, 268, 1556, 6355, 4643, 2004, 10749, 589, 5800, 762, 16262, 1108, 476, 274, 6113, 9990, 27375, 10932, 7433, 2201, 17318, 5696, 583, 1275, 23210, 7169, 1656, 19167, 4828, 5999, 454, 4467, 1584, 619, 723, 7960, 1454, 5488, 982, 519, 1480, 2634, 563, 257, 2467, 568, 811, 649, 798, 10691, 917, 827, 519, 2634, 267, 982, 1018, 649, 798, 917, 827, 519, 2634, 257, 901, 1592, 6257, 1152, 930, 540, 519, 10486, 543, 3604, 1063, 519, 2780, 543, 519, 2634, 563, 21008, 2581, 543, 25037, 6651, 634, 18948, 543, 25037, 6651, 14592, 519, 4162, 540, 519, 9135, 543, 2488, 1463, 6044, 593, 519, 2409, 540, 12180, 267, 11018, 2093, 267, 543, 1603, 6476, 543, 4334, 3594, 563, 22033, 10707, 2066, 513, 5348, 8985, 1281, 10691, 2141, 1267, 538, 513, 2962, 1761, 563, 305, 1430, 267, 713, 1344, 32290, 519, 4960, 602, 606, 2962, 1761, 786, 581, 3812, 676, 9870, 610, 16715, 519, 12939, 540, 519, 22813, 563, 2005, 568, 4443, 547, 4368, 513, 2780, 910, 1175, 1205, 1007, 2694, 269, 1717, 267, 930, 960, 568, 1373, 2944, 609, 24328, 540, 8229, 2281, 585, 1978, 14715, 4713, 971, 607, 19576, 781, 2068, 563, 13828, 513, 2780, 543, 513, 2634, 666, 1205, 834, 338, 1157, 257, 910, 513, 2780, 666, 1205, 513, 834, 341, 6400, 257, 543, 972, 616, 1082, 3676, 602, 1860, 519, 2634, 31422, 296, 3494, 602, 2472, 689, 9786, 2754, 616, 1732, 982, 5370, 5950, 676, 11197, 607, 1034, 540, 519, 3791, 18407, 3156, 585, 11197, 3457, 616, 6976, 543, 1447, 2442, 982, 1346, 5950, 676, 9786, 9367, 1848, 2334, 568, 835, 1448, 540, 2070, 267, 799, 568, 711, 8209, 2953, 267, 855, 621, 568, 606, 1383, 540, 875, 547, 2328, 513, 5635, 543, 4334, 1557, 269, 898, 3568, 519, 2596, 1344, 827, 713, 1826, 540, 4081, 7084, 543, 513, 1592, 540, 519, 1034, 2442, 5635, 543, 4334, 1557, 3584, 269, 10743, 602, 991, 811, 982, 513, 1592, 540, 1434, 3584, 949, 16926, 3318, 4081, 5830, 2228, 547, 3489, 519, 5207, 3446, 1510, 1022, 2027, 3646, 269, 2690, 1383, 267, 2119, 10203, 23651, 543, 14921, 476, 273, 2338, 693, 519, 1482, 942, 269, 4913, 267, 519, 2634, 849, 1281, 930, 1617, 527, 27965, 1210, 519, 8238, 5669, 8401, 1062, 20193, 568, 1454, 4443, 543, 5488, 585, 519, 2634, 547, 1451, 1007, 1919, 269, 21953, 267, 519, 2780, 666, 798, 1082, 1950, 4247, 693, 519, 1482, 942, 9497, 20123, 527, 27965, 8442, 602, 616, 2352, 585, 519, 2634, 269, 2690, 1383, 267, 519, 2634, 8060, 7244, 267, 2295, 2557, 543, 1973, 2604, 693, 519, 1482, 942, 621, 15824, 513, 2790, 4305, 7868, 1480, 2634, 814, 26693, 538, 693, 827, 476, 274, 6550, 585, 827, 519, 2063, 476, 1911, 267, 1822, 1296, 28560, 519, 1641, 568, 2713, 538, 519, 2462, 4872, 5288, 2713, 538, 14252, 267, 513, 2875, 1058, 1445, 593, 10503, 519, 2081, 1004, 2661, 538, 891, 6753, 1759, 593, 2147, 2934, 630, 335, 11823, 12512, 267, 2504, 267, 2596, 2042, 264, 543, 1114, 2934, 630, 333, 1155, 267, 3560, 267, 1377, 540, 1272, 1040, 634, 3610, 798, 711, 1331, 621, 538, 12987, 538, 476, 3445, 260, 2665, 267, 855, 621, 786, 948, 269, 634, 4950, 568, 2407, 540, 1863, 1806, 540, 1585, 4081, 4574, 593, 3875, 2093, 267, 543, 649, 3769, 835, 540, 519, 1390, 5439, 538, 713, 2376, 269, 17829, 1053, 945, 1265, 621, 2352, 547, 11883, 609, 971, 7084, 4805, 1058, 3346, 3318, 2228, 1603, 2319, 267, 799, 3091, 10464, 2688, 3435, 269, 0, 11990, 5455, 323, 833, 286, 7442, 665, 787, 13921, 888, 32091, 2372, 1774, 15766, 1807, 281, 1401, 531, 1540, 2238, 971, 607, 21882, 513, 1623, 21620, 610, 1821, 2358, 606, 8798, 5693, 5512, 519, 20536, 547, 2769, 5876, 269, 4676, 637, 3107, 569, 267, 519, 7986, 5856, 3627, 5455, 323, 833, 733, 2105, 602, 1256, 9889, 22941, 2238, 4847, 585, 5876, 952, 519, 798, 518, 25374, 2614, 547, 14133, 269, 14348, 596, 5225, 948, 803, 547, 1265, 513, 11239, 888, 32621, 15766, 1807, 281, 769, 476, 3422, 279, 968, 25440, 24742, 892, 12139, 30409, 1896, 1134, 8153, 5830, 543, 4280, 1142, 835, 547, 17492, 513, 2110, 4062, 827, 5876, 269, 634, 1895, 3769, 3627, 5455, 323, 833, 267, 14880, 16019, 267, 2274, 10162, 328, 13643, 630, 8649, 21105, 4446, 10440, 1070, 543, 6276, 570, 269, 10787, 22641, 269, 5455, 323, 833, 4412, 15903, 606, 27763, 10206, 540, 5876, 269, 645, 1245, 2183, 3773, 547, 4849, 338, 676, 1627, 296, 281, 476, 272, 454, 2690, 835, 3364, 267, 5876, 568, 8806, 513, 7132, 2012, 585, 2834, 2534, 282, 519, 546, 3558, 21745, 3455, 267, 11290, 543, 7376, 979, 827, 741, 4247, 538, 1454, 519, 1482, 1259, 267, 543, 1022, 2534, 3587, 3860, 950, 519, 798, 518, 30128, 827, 3257, 621, 1318, 267, 610, 1732, 563, 19350, 616, 3606, 5697, 14327, 538, 26567, 1931, 563, 1103, 476, 3192, 276, 5455, 323, 833, 3370, 519, 4015, 968, 303, 17673, 268, 10000, 26629, 806, 5608, 543, 646, 3769, 519, 2110, 6221, 689, 968, 25440, 24742, 31865, 8754, 267, 519, 19722, 6913, 9962, 10009, 269, 476, 273, 454, 1103, 5437, 476, 3192, 276, 5455, 323, 833, 779, 6376, 729, 1065, 11781, 539, 538, 519, 968, 299, 657, 13353, 8648, 892, 950, 621, 9575, 519, 3007, 540, 513, 1433, 2689, 518, 281, 476, 274, 454, 269, 1547, 1547, 968, 1415, 2534, 3587, 3860, 950, 519, 798, 518, 30128, 827, 3257, 621, 1318, 2223, 5455, 323, 833, 2501, 998, 607, 606, 13267, 543, 17031, 7209, 281, 519, 13603, 5346, 4773, 6445, 856, 519, 8076, 812, 563, 1103, 476, 1960, 277, 968, 763, 5020, 476, 6200, 2372, 1774, 3883, 892, 5697, 676, 8834, 5062, 19365, 338, 9102, 513, 4528, 540, 519, 19722, 609, 606, 14248, 2354, 529, 281, 476, 275, 454, 24478, 2032, 568, 8806, 513, 7132, 2012, 585, 2834, 2534, 1547, 1547, 1547, 1022, 2534, 3587, 3860, 950, 519, 798, 518, 30128, 827, 3257, 621, 1318, 267, 610, 1732, 563, 1103, 3932, 267, 3627, 5455, 323, 833, 19262, 5491, 585, 519, 6085, 827, 5876, 646, 4050, 2740, 543, 3370, 538, 968, 25440, 24742, 892, 12139, 538, 5412, 476, 3422, 279, 563, 15862, 11872, 281, 5398, 6389, 4605, 540, 513, 1895, 540, 1769, 15620, 689, 7117, 30266, 334, 693, 623, 1460, 629, 599, 563, 263, 15124, 7064, 547, 19722, 4274, 715, 580, 601, 1234, 525, 945, 4607, 513, 7662, 547, 2263, 713, 19722, 799, 646, 20794, 539, 547, 3988, 538, 1010, 4989, 476, 1708, 272, 968, 32621, 2507, 1133, 638, 1774, 892, 20394, 269, 1234, 525, 5018, 519, 607, 5524, 547, 3627, 5455, 323, 833, 267, 543, 646, 3838, 513, 476, 3422, 280, 11239, 799, 11329, 547, 513, 476, 3422, 279, 29519, 693, 519, 2160, 540, 7147, 269, 901, 6273, 1627, 296, 547, 10994, 713, 1888, 8094, 268, 476, 3422, 279, 5412, 267, 7591, 24742, 267, 11730, 476, 1428, 267, 7089, 476, 1321, 267, 2201, 27065, 1107, 32600, 267, 3627, 5455, 323, 833, 267, 3399, 8525, 476, 15793, 267, 2372, 1774, 8525, 476, 16928, 267, 28758, 476, 274, 267, 32518, 295, 14539, 7577, 267, 9628, 267, 13325, 269, 630, 19723, 1881, 609, 18767, 264, 7602, 358, 454, 268, 476, 3192, 276, 267, 17292, 539, 268, 10000, 26629, 806, 676, 3627, 5455, 323, 833, 267, 3848, 281, 5983, 5320, 267, 2372, 1774, 8525, 1535, 343, 267, 21238, 589, 269, 12928, 641, 325, 267, 1715, 3840, 269, 630, 19723, 1881, 609, 18767, 264, 7602, 358, 454, 268, 476, 3192, 276, 5437, 476, 1691, 267, 11968, 13353, 8648, 267, 634, 3883, 7797, 281, 26629, 806, 540, 519, 966, 17448, 5455, 323, 833, 267, 2372, 1774, 8525, 717, 1428, 267, 11968, 13353, 267, 4993, 269, 630, 3682, 5226, 652, 264, 7602, 358, 454, 268, 476, 1960, 277, 14645, 267, 634, 5020, 476, 6200, 2372, 1774, 3883, 267, 29120, 676, 8834, 5062, 19365, 338, 267, 27336, 6548, 676, 14639, 20767, 650, 657, 267, 13445, 281, 27065, 267, 2372, 1774, 8525, 476, 3393, 267, 2776, 331, 8775, 4964, 267, 11968, 13353, 267, 4993, 269, 630, 19723, 1881, 609, 18767, 264, 7602, 358, 0, 4131, 803, 1175, 1376, 676, 6031, 602, 713, 568, 513, 1360, 2110, 2376, 269, 12472, 776, 10334, 568, 519, 1360, 5748, 540, 519, 2413, 6211, 9443, 267, 543, 596, 2811, 711, 2469, 547, 2161, 513, 2262, 827, 1018, 621, 6645, 721, 827, 519, 2067, 7122, 888, 288, 1906, 5013, 547, 3565, 585, 26784, 267, 2687, 547, 1459, 1702, 912, 29189, 7153, 538, 3618, 569, 7103, 936, 513, 5479, 1296, 3516, 1703, 568, 606, 3742, 3621, 7521, 607, 547, 4010, 1141, 1272, 593, 3618, 12090, 267, 2436, 607, 17973, 689, 930, 824, 18477, 1560, 610, 607, 17973, 689, 1934, 5274, 6438, 7103, 538, 5101, 4000, 15068, 513, 2518, 31685, 3361, 676, 519, 20349, 540, 519, 2706, 14179, 4754, 334, 24398, 269, 18578, 320, 936, 476, 3583, 267, 1822, 1296, 3516, 799, 12012, 741, 5444, 5311, 543, 3361, 519, 1459, 8789, 2249, 593, 3618, 547, 11457, 3509, 7103, 723, 7960, 547, 581, 2433, 513, 25757, 267, 28305, 267, 25251, 267, 3092, 12472, 1419, 4523, 5393, 3728, 267, 609, 1100, 1880, 3970, 547, 875, 3728, 602, 666, 2049, 12472, 849, 4523, 1360, 7444, 693, 2053, 267, 3006, 711, 3001, 1454, 585, 7366, 540, 6634, 540, 1296, 910, 899, 519, 1390, 3043, 16356, 454, 268, 3689, 909, 2201, 2911, 3817, 267, 5225, 1129, 707, 8292, 1210, 2185, 512, 843, 525, 630, 20669, 264, 610, 676, 14467, 593, 519, 1129, 7735, 281, 593, 519, 1907, 8663, 1657, 519, 12575, 8470, 269, 1411, 666, 849, 25034, 20422, 2911, 2985, 8292, 1210, 835, 811, 3935, 630, 281, 264, 585, 1142, 1899, 269, 11289, 596, 563, 268, 5822, 267, 621, 1522, 581, 27548, 8513, 267, 855, 649, 6140, 2232, 5137, 626, 6811, 593, 5137, 1143, 1644, 3817, 269, 6875, 513, 1413, 693, 519, 4720, 2376, 585, 835, 602, 781, 513, 3787, 811, 5230, 593, 519, 2257, 3294, 269, 476, 1731, 534, 7517, 9462, 494, 494, 289, 548, 520, 693, 803, 476, 736, 281, 6872, 267, 476, 273, 5130, 476, 1001, 280, 630, 7473, 290, 264, 0, 272, 269, 4208, 1281, 513, 11832, 21138, 1010, 610, 1200, 942, 936, 519, 1272, 4783, 865, 607, 547, 960, 811, 3108, 538, 1346, 5712, 950, 519, 13230, 568, 5207, 286, 4208, 1281, 519, 11832, 711, 1995, 606, 4747, 1198, 1282, 1346, 5712, 888, 273, 269, 1548, 568, 519, 3773, 11832, 1198, 286, 1548, 568, 519, 27209, 11832, 1198, 286, 6904, 1198, 2531, 7149, 538, 519, 2136, 2276, 888, 274, 269, 5808, 616, 519, 6456, 32014, 286, 9701, 519, 6456, 32014, 581, 3769, 538, 519, 9819, 540, 519, 13864, 2557, 286, 4208, 610, 1946, 711, 286, 0, 303, 7035, 1227, 2953, 269, 1677, 581, 20833, 2953, 1797, 547, 25500, 5402, 593, 824, 1004, 779, 2283, 4850, 269, 594, 6557, 585, 602, 269, 15020, 1454, 563, 1103, 513, 2603, 540, 4025, 1934, 538, 519, 1434, 2025, 772, 2529, 6993, 1421, 968, 303, 5861, 2223, 1797, 596, 666, 1406, 979, 1472, 884, 9405, 22457, 13423, 515, 1206, 1256, 6094, 569, 24320, 2213, 607, 9644, 269, 1280, 782, 519, 2849, 976, 267, 2462, 1824, 267, 8322, 1235, 543, 519, 13998, 13934, 267, 513, 2241, 4341, 2443, 968, 291, 2177, 685, 307, 14408, 312, 8946, 2969, 892, 2443, 1568, 513, 2603, 1732, 982, 8417, 2866, 269, 1924, 1082, 10838, 721, 723, 1100, 8417, 547, 5721, 563, 10214, 952, 519, 2849, 976, 945, 31274, 789, 1810, 1406, 1611, 621, 2443, 538, 799, 2013, 1946, 616, 789, 6031, 621, 286, 2443, 594, 1745, 1022, 4341, 610, 1876, 602, 14014, 803, 543, 9553, 689, 2348, 547, 6432, 547, 13842, 568, 2797, 3854, 1134, 6170, 563, 296, 9327, 1406, 1289, 621, 2797, 2953, 1145, 269, 594, 1131, 1289, 621, 524, 643, 1006, 269, 6153, 25654, 269, 5871, 1232, 1890, 563, 2252, 4896, 7959, 711, 10912, 824, 1004, 29405, 532, 4408, 568, 16081, 4771, 741, 2511, 286, 1452, 616, 585, 7247, 971, 3652, 941, 1500, 269, 1452, 616, 1175, 519, 11570, 945, 991, 873, 269, 4107, 1004, 723, 2614, 5100, 338, 543, 1434, 25654, 547, 917, 950, 547, 9505, 909, 1510, 1373, 5143, 269, 1280, 3025, 3116, 267, 649, 723, 3652, 563, 2691, 649, 616, 10838, 2828, 543, 649, 917, 835, 1776, 1134, 267, 649, 6001, 267, 1577, 856, 22651, 1524, 269, 23883, 950, 649, 616, 513, 12102, 1851, 1866, 899, 721, 609, 2147, 2528, 543, 1686, 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 ]
[ 6668, 267, 543, 15366, 2360, 2223, 7353, 17190, 543, 7353, 984, 5735, 267, 2019, 269, 476, 4375, 267, 1100, 269, 476, 273, 267, 6032, 269, 476, 15433, 1700, 11260, 267, 476, 2735, 275, 563, 303, 269, 590, 269, 19134, 2006, 267, 966, 269, 808, 269, 3244, 12121, 267, 570, 269, 9652, 267, 543, 667, 269, 27508, 267, 968, 20238, 2747, 8417, 543, 5027, 7816, 538, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 12490, 609, 1114, 1611, 1272, 21269, 2223, 631, 16615, 3194, 267, 2019, 269, 476, 21172, 267, 1100, 269, 476, 273, 267, 6032, 269, 476, 6507, 1700, 11025, 267, 476, 2735, 279, 563, 297, 269, 654, 269, 8330, 514, 267, 715, 269, 808, 269, 744, 262, 10468, 559, 267, 543, 623, 269, 661, 269, 918, 17703, 629, 4673, 267, 968, 301, 16197, 582, 728, 2300, 1707, 7816, 543, 519, 12159, 540, 10717, 1135, 4083, 676, 519, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 2473, 5183, 543, 681, 4944, 276, 9647, 860, 1132, 267, 681, 4696, 268, 274, 543, 13431, 303, 268, 272, 2223, 5027, 29766, 267, 2019, 269, 476, 278, 267, 1100, 269, 476, 273, 267, 6032, 269, 476, 29045, 1700, 18231, 267, 476, 1220, 279, 563, 288, 269, 670, 269, 4591, 3118, 267, 590, 269, 670, 269, 13690, 267, 589, 269, 5487, 5292, 701, 267, 543, 654, 269, 631, 269, 7812, 267, 968, 13425, 4812, 3623, 9760, 1282, 519, 5027, 3441, 3210, 538, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 24201, 2223, 4750, 540, 8426, 10334, 267, 2019, 269, 476, 15094, 267, 1100, 269, 476, 278, 267, 6032, 269, 476, 15886, 1700, 1911, 279, 267, 476, 1220, 277, 563, 297, 269, 715, 269, 2725, 9807, 267, 654, 269, 589, 269, 15196, 323, 267, 717, 269, 589, 269, 589, 3960, 600, 267, 589, 269, 595, 269, 670, 879, 2102, 267, 808, 269, 670, 269, 6154, 539, 2006, 267, 543, 645, 269, 8709, 670, 719, 523, 267, 968, 5719, 743, 710, 540, 30859, 2300, 1707, 7816, 4390, 538, 10172, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 2223, 32081, 10334, 267, 2019, 269, 476, 279, 267, 1100, 269, 476, 276, 267, 2376, 681, 3583, 267, 476, 1220, 278, 563, 288, 269, 717, 691, 1676, 267, 590, 269, 6660, 7322, 267, 590, 269, 30277, 267, 808, 269, 32095, 326, 7219, 267, 543, 631, 269, 744, 269, 670, 1263, 691, 1676, 267, 968, 288, 24721, 2638, 4812, 13374, 18657, 919, 5027, 3441, 1765, 8114, 1027, 30091, 543, 1591, 4783, 10654, 538, 595, 269, 1605, 7540, 2223, 17449, 8426, 267, 2019, 269, 476, 276, 267, 1100, 269, 476, 274, 267, 6032, 269, 476, 31973, 1700, 4510, 274, 267, 476, 1220, 271, 563, 301, 269, 1772, 327, 4512, 267, 715, 269, 30554, 25431, 267, 623, 269, 590, 269, 19134, 2006, 267, 543, 918, 269, 30554, 25431, 267, 968, 763, 2360, 540, 2837, 593, 519, 15325, 540, 513, 5982, 25259, 30354, 2234, 268, 279, 540, 519, 29712, 1712, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 2223, 4260, 11594, 540, 15168, 26585, 267, 2019, 269, 476, 5392, 267, 1100, 269, 476, 274, 267, 6032, 269, 645, 14056, 1700, 289, 6344, 267, 476, 1960, 275, 563, 300, 269, 670, 269, 10557, 267, 645, 269, 13259, 333, 267, 594, 269, 590, 269, 932, 16211, 267, 543, 670, 269, 590, 269, 918, 5622, 267, 968, 763, 5444, 4082, 543, 10638, 4307, 8040, 540, 595, 1442, 599, 928, 6794, 645, 3940, 538, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 2223, 30264, 7034, 16707, 267, 2019, 269, 476, 276, 2420, 267, 1100, 269, 476, 272, 268, 274, 267, 6032, 269, 476, 5325, 1700, 7906, 267, 476, 1220, 273, 563, 295, 269, 700, 753, 267, 808, 269, 589, 269, 6742, 324, 6359, 333, 267, 645, 269, 5576, 636, 12329, 267, 808, 269, 670, 269, 670, 4141, 6359, 16234, 267, 717, 269, 808, 753, 523, 267, 543, 654, 269, 21502, 324, 592, 523, 267, 968, 1103, 341, 9876, 618, 540, 2518, 11646, 7816, 267, 16606, 13745, 7816, 267, 543, 6985, 11294, 28889, 9934, 538, 11158, 5027, 3441, 3210, 2242, 1282, 1646, 2223, 12813, 24382, 21834, 267, 2019, 269, 476, 277, 267, 9137, 9517, 552, 1911, 6021, 275, 272, 267, 476, 1001, 271, 563, 299, 269, 28238, 22080, 537, 267, 918, 269, 8935, 330, 537, 5471, 345, 573, 529, 267, 589, 269, 27189, 334, 601, 267, 543, 631, 269, 744, 269, 670, 1263, 691, 1676, 267, 968, 763, 30859, 2300, 1707, 7816, 13374, 568, 2838, 585, 11158, 4211, 14001, 30091, 538, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 2223, 8426, 12280, 543, 7756, 2747, 267, 2019, 269, 476, 1691, 267, 1100, 269, 476, 277, 267, 6032, 269, 476, 12208, 280, 1700, 13647, 279, 267, 476, 1220, 278, 563, 299, 269, 28238, 22080, 537, 267, 681, 269, 661, 828, 14551, 267, 918, 269, 8935, 330, 537, 5471, 345, 573, 529, 267, 543, 631, 269, 744, 269, 670, 1263, 691, 1676, 267, 968, 301, 2207, 543, 15679, 11444, 957, 18615, 569, 547, 3895, 11158, 4211, 14001, 10351, 1591, 30091, 538, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 2223, 8426, 12280, 543, 7756, 2747, 267, 2019, 269, 476, 1240, 267, 6032, 269, 476, 8660, 278, 1700, 3445, 277, 267, 476, 1001, 272, 563, 290, 269, 594, 269, 918, 11839, 267, 808, 269, 595, 1779, 1231, 267, 623, 269, 590, 269, 19134, 2006, 267, 543, 595, 269, 590, 269, 681, 10967, 339, 267, 968, 10013, 2584, 984, 5735, 540, 519, 29712, 1712, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 281, 2962, 26034, 267, 9000, 540, 2584, 648, 716, 10474, 543, 2360, 540, 14933, 2223, 7353, 17190, 543, 7353, 984, 5735, 267, 2019, 269, 476, 5379, 267, 1100, 269, 476, 275, 267, 6032, 269, 476, 4366, 274, 1700, 4366, 279, 267, 476, 2735, 278, 563, 312, 269, 13690, 543, 661, 269, 570, 269, 918, 760, 516, 657, 267, 968, 763, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 18643, 24416, 3815, 7131, 307, 268, 272, 568, 6098, 585, 12159, 676, 519, 595, 8085, 268, 275, 22230, 24174, 268, 272, 1950, 2223, 17449, 543, 8426, 983, 10334, 267, 2019, 269, 476, 2767, 267, 1100, 269, 476, 275, 267, 6032, 269, 476, 16928, 275, 1700, 9610, 277, 267, 476, 1220, 278, 563, 291, 269, 645, 269, 30716, 1512, 543, 631, 269, 570, 6359, 560, 9007, 267, 968, 288, 7605, 755, 3060, 540, 5595, 3613, 8681, 2736, 7816, 11444, 1754, 985, 11646, 8699, 1282, 595, 269, 1605, 7540, 1646, 2223, 7351, 10334, 267, 2019, 269, 476, 866, 267, 1100, 269, 476, 1626, 267, 6032, 269, 476, 15946, 275, 1700, 15946, 279, 267, 476, 1220, 280, 563, 307, 269, 570, 269, 590, 7159, 334, 267, 808, 269, 700, 269, 1411, 1091, 267, 590, 269, 808, 269, 645, 9567, 2023, 267, 543, 631, 269, 623, 269, 2051, 2967, 659, 26785, 267, 968, 25519, 523, 528, 4725, 323, 4345, 1605, 7540, 670, 8379, 268, 1240, 13478, 299, 311, 268, 275, 25998, 609, 20793, 311, 268, 272, 543, 2473, 303, 293, 268, 272, 543, 15387, 22308, 8699, 538, 519, 10351, 1467, 676, 4393, 21921, 1588, 10827, 919, 2223, 12813, 24382, 21834, 267, 2019, 269, 476, 276, 267, 1100, 269, 476, 1556, 267, 9137, 9517, 552, 1911, 5881, 274, 276, 267, 476, 1220, 280, 563, 307, 269, 7937, 330, 636, 334, 267, 595, 269, 16549, 583, 8643, 267, 570, 269, 661, 7288, 267, 543, 674, 269, 670, 3570, 24499, 267, 968, 9377, 11351, 540, 519, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 5027, 29920, 3852, 371, 4630, 860, 826, 4679, 8417, 547, 11158, 5982, 1282, 10351, 11060, 1646, 2223, 8426, 12856, 543, 9577, 267, 2019, 269, 476, 4029, 267, 1100, 269, 476, 272, 267, 6032, 269, 476, 3066, 1700, 4391, 267, 476, 1220, 277, 563, 297, 269, 623, 1054, 1993, 267, 717, 269, 8709, 12794, 2378, 1084, 267, 918, 269, 774, 6359, 1087, 523, 1696, 620, 1421, 968, 15275, 2305, 540, 6090, 602, 2149, 519, 595, 269, 1605, 7540, 11646, 1996, 13592, 676, 11646, 17253, 10717, 328, 2223, 2637, 525, 543, 4886, 267, 2019, 269, 476, 1704, 267, 1100, 269, 476, 275, 267, 6032, 269, 476, 4510, 274, 1700, 275, 4366, 267, 476, 1220, 274, 563, 300, 269, 681, 269, 9931, 523, 325, 836, 543, 717, 269, 1530, 11770, 26919, 267, 968, 7251, 330, 268, 278, 568, 2838, 585, 22328, 16606, 543, 1591, 4783, 11144, 538, 6970, 523, 528, 4725, 323, 4345, 1605, 1146, 5145, 787, 657, 2223, 18619, 540, 519, 2817, 9142, 540, 7070, 540, 519, 2136, 2276, 540, 3013, 267, 2019, 269, 476, 4200, 267, 1100, 269, 476, 279, 267, 6032, 269, 476, 4649, 273, 278, 1700, 4649, 274, 273, 267, 476, 1220, 273, 563, 307, 269, 661, 7288, 267, 570, 269, 1772, 6062, 327, 4673, 267, 594, 269, 918, 1846, 3120, 267, 543, 674, 269, 670, 3570, 24499, 267, 968, 288, 11646, 17253, 5619, 543, 9836, 10717, 328, 2861, 18572, 540, 21484, 848, 6438, 6090, 538, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 2223, 5027, 3194, 267, 2019, 269, 476, 1691, 267, 1100, 269, 476, 275, 267, 6032, 269, 476, 8146, 1700, 1960, 267, 476, 1220, 278, 563, 300, 269, 5754, 684, 267, 808, 269, 10557, 267, 918, 269, 10557, 267, 589, 269, 2904, 267, 966, 269, 589, 269, 645, 2129, 337, 267, 543, 645, 269, 13259, 333, 267, 968, 299, 517, 14423, 543, 4187, 547, 2566, 30136, 609, 5027, 7816, 4390, 538, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 2223, 715, 16197, 545, 3600, 1749, 3194, 267, 2019, 269, 476, 3607, 267, 1100, 269, 476, 275, 267, 6032, 269, 476, 15946, 271, 1700, 15946, 280, 267, 476, 1220, 279, 563, 302, 269, 674, 839, 326, 731, 267, 670, 269, 918, 817, 1695, 684, 267, 594, 269, 25512, 1731, 267, 570, 269, 681, 1758, 525, 267, 808, 269, 631, 269, 14811, 341, 718, 267, 543, 670, 269, 715, 2812, 523, 267, 968, 288, 1079, 2389, 328, 1229, 9104, 2218, 3210, 547, 2530, 540, 5027, 7816, 1110, 12885, 10172, 543, 2566, 3210, 11444, 2223, 28544, 267, 2019, 269, 476, 273, 267, 1100, 269, 476, 274, 267, 6032, 269, 476, 15836, 1700, 14689, 267, 476, 1001, 271, 563, 291, 269, 700, 269, 27508, 267, 595, 269, 589, 269, 670, 2967, 701, 330, 267, 543, 808, 269, 631, 269, 1849, 10225, 517, 267, 968, 263, 277, 268, 275, 264, 31688, 641, 20094, 616, 6569, 689, 519, 5027, 540, 11158, 268, 597, 2784, 7007, 27899, 2281, 811, 7561, 982, 7814, 984, 583, 2033, 7510, 3234, 26593, 3897, 619, 2223, 631, 16615, 3194, 267, 2019, 269, 476, 16960, 267, 1100, 269, 476, 274, 267, 6032, 269, 476, 11820, 1700, 12208, 267, 476, 2735, 276, 563, 310, 269, 589, 269, 15196, 323, 267, 570, 269, 700, 269, 595, 13702, 518, 267, 589, 269, 631, 269, 30954, 22222, 1696, 620, 1421, 968, 301, 16197, 582, 728, 2300, 1707, 7816, 6090, 616, 6829, 693, 1970, 2157, 543, 616, 711, 3713, 2406, 1802, 24862, 538, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 30717, 8031, 267, 855, 741, 1599, 568, 2838, 585, 3339, 2937, 1272, 1310, 11158, 290, 4598, 2223, 631, 16615, 3194, 267, 2019, 269, 476, 6924, 274, 267, 1100, 269, 476, 272, 268, 273, 267, 6032, 269, 476, 6872, 1700, 6858, 267, 476, 1001, 271, 563, 307, 269, 700, 269, 717, 636, 1329, 5500, 267, 661, 269, 30340, 773, 267, 661, 269, 19134, 342, 20672, 267, 670, 269, 681, 269, 9710, 341, 6308, 267, 543, 631, 269, 744, 269, 670, 1263, 691, 1676, 267, 968, 7049, 2045, 1852, 540, 23553, 1591, 2669, 538, 519, 6970, 523, 528, 4725, 323, 4345, 1605, 7540, 1200, 332, 7469, 16967, 924, 10351, 1467, 2223, 4886, 267, 2019, 269, 476, 14695, 267, 1100, 269, 476, 276, 267, 6032, 269, 476, 6200, 272, 1700, 9083, 273, 267, 476, 1960, 280, 563, 300, 269, 717, 1014, 333, 3430, 553, 1470, 267, 595, 269, 674, 3326, 517, 1512, 267, 670, 269, 12875, 686, 699, 1696, 620, 1421, 968, 2750, 334, 272, 2841, 525, 609, 7816, 10282, 267, 17838, 715, 2207, 10827, 919, 547, 1279, 521, 338, 19091, 10616, 267, 543, 8992, 2638, 4812, 11852, 2223, 17449, 8426, 267, 2019, 269, 476, 2412, 267, 1100, 269, 476, 272, 267, 6032, 269, 476, 2004, 1700, 7830, 267, 476, 1001, 271, 563, 297, 269, 589, 269, 6742, 324, 6359, 333, 267, 590, 269, 645, 2131, 12027, 11219, 27255, 267, 715, 269, 631, 16233, 1696, 620, 1421, 968, 301, 16197 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 6234, 535, 18898, 17347, 21174, 8974, 3630, 576, 346, 325, 6600, 6600, 7268, 26984, 17347, 4297, 9385, 26984, 264, 13925, 333, 315, 974, 476, 868, 346, 2053, 3686, 10608, 901, 568, 513, 5311, 538, 4399, 6234, 918, 259, 543, 2094, 1169, 11741, 11973, 568, 18615, 569, 11741, 972, 6818, 930, 4399, 6234, 1422, 3847, 28381, 325, 3867, 333, 8548, 12917, 330, 9385, 2431, 315, 13925, 332, 22174, 315, 13992, 346, 301, 22288, 799, 568, 4780, 7217, 267, 543, 3976, 595, 879, 16408, 269, 769, 1880, 267, 972, 6818, 930, 4399, 6234, 715, 22174, 315, 13992, 346, 301, 4151, 971, 602, 4399, 6234, 546, 13375, 6600, 3867, 333, 3709, 301, 266, 272, 3686, 263, 330, 1070, 325, 3867, 333, 318, 301, 12917, 330, 9385, 2431, 264, 283, 315, 2765, 3189, 23437, 28580, 2410, 273, 23201, 1809, 267, 676, 13429, 4399, 6234, 546, 13375, 6600, 3867, 333, 3709, 301, 266, 272, 3686, 263, 330, 1070, 325, 3867, 333, 318, 301, 12917, 330, 9385, 2431, 9385, 28254, 16435, 656, 546, 6600, 3867, 333, 318, 301, 12917, 330, 1070, 325, 3867, 333, 3709, 301, 268, 272, 3686, 263, 330, 4297, 315, 28254, 16435, 656, 315, 26984, 315, 28254, 16435, 656, 546, 6600, 17347, 1070, 330, 264, 285, 315, 2765, 3189, 23169, 2410, 273, 23201, 901, 568, 540, 1576, 513, 27171, 780, 9616, 602, 596, 991, 711, 723, 602, 4399, 6234, 535, 259, 568, 606, 568, 5852, 547, 6961, 602, 621, 781, 1147, 11187, 780, 2467, 568, 1776, 1259, 547, 6961, 519, 1101, 835, 602, 568, 513, 512, 611, 811, 17715, 267, 855, 513, 512, 611, 811, 8231, 846, 780, 32381, 267, 1434, 2816, 8627, 0, 19370, 4149, 6295, 27294, 538, 13662, 4041, 9119, 692, 258, 9046, 4149, 6295, 27294, 538, 13662, 4041, 9119, 692, 307, 2946, 331, 2946, 12737, 518, 3288, 929, 15530, 550, 566, 692, 1012, 9046, 4149, 6295, 27294, 538, 13662, 4041, 9119, 692, 268, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 661, 715, 667, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 910, 20620, 7462, 19809, 3690, 5296, 692, 272, 269, 9046, 4149, 6295, 27294, 538, 13662, 4041, 9119, 14717, 777, 14465, 4498, 2817, 4659, 540, 4065, 715, 1415, 836, 25895, 2160, 5029, 2213, 676, 5948, 540, 9119, 30451, 1299, 4972, 540, 3163, 543, 9119, 14135, 12443, 23855, 545, 692, 273, 269, 14135, 9119, 15099, 630, 1960, 273, 267, 476, 1220, 272, 2020, 274, 269, 1715, 19648, 538, 10495, 25104, 363, 1401, 3133, 725, 616, 1934, 547, 3251, 25104, 363, 15448, 538, 8561, 3040, 15448, 538, 3898, 3040, 3502, 8209, 1957, 7146, 1790, 523, 4290, 3040, 3502, 8209, 1367, 3040, 3502, 8209, 4830, 692, 275, 269, 30014, 9537, 538, 13662, 4041, 1548, 568, 519, 1871, 540, 476, 10019, 25104, 372, 476, 278, 1107, 476, 275, 25104, 368, 476, 273, 286, 630, 272, 264, 476, 6321, 630, 273, 264, 476, 1626, 630, 274, 264, 476, 1691, 630, 275, 264, 476, 275, 692, 276, 269, 13662, 4041, 27294, 6156, 566, 1590, 711, 581, 32462, 692, 277, 269, 590, 631, 645, 744, 667, 589, 692, 278, 269, 30014, 9537, 538, 13662, 4041, 589, 4062, 540, 5911, 568, 18761, 547, 1106, 519, 1318, 268, 22931, 6906, 3254, 2630, 269, 4855, 519, 1858, 540, 519, 6906, 269, 476, 736, 4699, 476, 1626, 4699, 8382, 281, 13322, 318, 4699, 273, 476, 1321, 4699, 692, 279, 269, 13662, 4041, 27294, 29922, 1239, 568, 1631, 2838, 692, 280, 269, 30014, 9537, 538, 13662, 4041, 634, 4137, 568, 1500, 909, 540, 2185, 9838, 10945, 1142, 540, 2427, 476, 273, 4699, 269, 1548, 568, 519, 15943, 540, 519, 4137, 286, 630, 272, 264, 476, 1626, 4699, 630, 273, 264, 476, 736, 4699, 630, 274, 264, 476, 2190, 4699, 630, 275, 264, 476, 3953, 4699, 692, 1015, 269, 30014, 9537, 538, 13662, 4041, 634, 4137, 568, 1500, 909, 540, 2185, 9838, 10945, 1142, 540, 2427, 476, 273, 4699, 269, 1548, 568, 519, 15943, 540, 519, 4137, 286, 630, 272, 264, 476, 1626, 4699, 630, 273, 264, 476, 736, 4699, 630, 274, 264, 476, 2190, 4699, 630, 275, 264, 476, 3953, 4699, 692, 1556, 269, 13662, 4041, 27294, 16610, 616, 7318, 7258, 5773, 692, 1321, 269, 30014, 9537, 538, 13662, 4041, 589, 14328, 4062, 540, 1957, 267, 25549, 593, 835, 2427, 267, 568, 25649, 547, 1106, 519, 3337, 3254, 2630, 269, 1548, 568, 519, 1858, 540, 519, 14328, 4062, 540, 1957, 1354, 621, 729, 25649, 2496, 1724, 269, 30014, 9537, 538, 13662, 4041, 630, 272, 264, 476, 2190, 4699, 273, 630, 273, 264, 476, 2412, 4699, 273, 630, 274, 264, 476, 4366, 4699, 273, 630, 275, 264, 476, 6321, 4699, 273, 692, 1691, 269, 13662, 4041, 27294, 1401, 11072, 3946, 6823, 1565, 538, 519, 4928, 692, 1428, 269, 14135, 9119, 15099, 630, 1960, 273, 267, 476, 1220, 272, 2020, 1626, 269, 2859, 20537, 32492, 12071, 1890, 1548, 568, 519, 2542, 8612, 593, 519, 20604, 4336, 3254, 2496, 1704, 269, 13662, 4041, 27294, 19750, 1983, 616, 7318, 1932, 692, 1240, 269, 2859, 20537, 32492, 12071, 1890, 1548, 568, 519, 2542, 8612, 593, 519, 20604, 4336, 3254, 2496, 866, 269, 2859, 20537, 32492, 12071, 1890, 634, 4137, 2982, 513, 1899, 2473, 312, 543, 1614, 2798, 681, 267, 590, 543, 570, 780, 736, 269, 2859, 20537, 32492, 12071, 1890, 8571, 513, 2786, 1899, 689, 1448, 2473, 547, 835, 540, 519, 2798, 681, 267, 590, 610, 570, 865, 607, 547, 1106, 606, 5086, 1063, 476, 2004, 334, 543, 476, 3583, 334, 693, 2473, 269, 8571, 513, 13902, 547, 2473, 312, 8429, 998, 1448, 570, 780, 2641, 269, 6156, 566, 286, 1548, 568, 519, 7508, 1297, 538, 519, 4216, 286, 25104, 368, 692, 2420, 269, 6156, 566, 286, 476, 272, 1341, 476, 273, 1341, 476, 274, 1341, 476, 275, 1341, 2560, 2507, 907, 1341, 476, 11463, 1341, 476, 4817, 1341, 476, 9834, 1341, 476, 9032, 1879, 519, 1101, 476, 9032, 2898, 2338, 616, 3773, 909, 267, 1018, 568, 519, 7857, 538, 519, 3283, 1747, 540, 713, 2698, 286, 630, 272, 264, 476, 272, 630, 273, 264, 476, 273, 630, 274, 264, 476, 274, 630, 275, 264, 476, 279, 692, 2537, 269, 6156, 566, 286, 476, 272, 1341, 476, 273, 1341, 476, 274, 1341, 476, 275, 1341, 2560, 2507, 907, 1341, 476, 11463, 1341, 476, 4817, 1341, 476, 9834, 1341, 476, 9032, 476, 272, 1341, 476, 273, 1341, 476, 274, 1341, 476, 275, 1341, 2560, 2507, 907, 1341, 476, 11463, 1341, 476, 4817, 1341, 476, 9834, 1341, 476, 9032, 476, 272, 1341, 476, 273, 1341, 476, 274, 1341, 476, 275, 1341, 2560, 2507, 907, 1341, 476, 11463, 1341, 476, 4817, 1341, 476, 9834, 1341, 476, 9032, 476, 272, 1341, 476, 273, 1341, 476, 274, 1341, 476, 275, 1341, 2560, 2507, 907, 1341, 476, 11463, 1341, 476, 4817, 1341, 476, 9834, 1341, 476, 9032, 476, 272, 1341, 476, 273, 1341, 476, 274, 1341, 476, 275, 1341, 2560, 2507, 907, 1341, 476, 11463, 1341, 476, 4817, 1341, 476, 9834, 1341, 476, 9032, 1341, 476, 7176, 1341, 476, 4200, 692, 2190, 269, 14135, 9119, 15099, 630, 1960, 273, 267, 476, 1220, 272, 2020, 1839, 269, 5020, 3587, 9875, 585, 1346, 945, 13498, 891, 547, 581, 12985, 3688, 269, 1703, 616, 10453, 945, 13498, 3901, 24136, 547, 581, 26398, 269, 8409, 945, 616, 513, 2370, 2565, 1131, 2307, 2933, 952, 972, 616, 811, 17715, 2409, 547, 1205, 519, 2626, 269, 8409, 945, 616, 513, 2370, 3860, 1131, 581, 2111, 547, 4137, 1114, 2081, 547, 798, 519, 1482, 4247, 269, 32185, 267, 2565, 3206, 543, 3860, 3206, 616, 851, 540, 6208, 540, 2247, 780, 2918, 269, 634, 13662, 4041, 14474, 3040, 898, 16569, 585, 476, 273, 3108, 476, 1428, 3764, 269, 3040, 1703, 616, 476, 1428, 2789, 31547, 2055, 585, 476, 1839, 260, 540, 519, 2698, 7436, 269, 3040, 476, 276, 476, 272, 27360, 2055, 630, 276, 8472, 3040, 476, 1015, 476, 273, 27360, 2055, 630, 736, 8472, 3040, 634, 1101, 3898, 4255, 2731, 2596, 1702, 269, 634, 2034, 3898, 4255, 513, 2039, 540, 21941, 1519, 1966, 9010, 15334, 780, 2767, 269, 634, 13662, 4041, 14474, 1703, 616, 476, 736, 2110, 268, 24987, 4247, 585, 476, 736, 10065, 1358, 616, 782, 476, 272, 27360, 6221, 269, 1403, 4559, 616, 2838, 267, 789, 616, 8612, 269, 1403, 2324, 568, 2556, 267, 789, 666, 581, 2944, 855, 786, 711, 581, 2808, 585, 5491, 269, 1358, 616, 5921, 547, 1449, 2596, 1983, 269, 3509, 666, 581, 2944, 15508, 780, 2764, 269, 634, 13662, 4041, 14474, 3040, 1703, 616, 476, 1428, 11295, 543, 1279, 268, 24987, 4247, 585, 476, 4649, 10065, 3040, 8422, 476, 273, 27360, 4247, 630, 277, 8472, 3040, 8422, 476, 274, 27360, 4247, 630, 280, 8472, 3040, 1452, 1079, 2010, 4043, 547, 1449, 2596, 1983, 543, 2241, 1966, 6061, 780, 3066, 269, 634, 13662, 4041, 14474, 3040, 1703, 616, 476, 1428, 11295, 543, 1279, 268, 24987, 4247, 585, 476, 4649, 10065, 3040, 12866, 476, 275, 27360, 4247, 630, 736, 8472, 3040, 9050, 476, 276, 27360, 4247, 630, 736, 8472, 3040, 1452, 1079, 2010, 4043, 547, 1449, 1966, 9010, 15334, 269, 2368, 4247, 616, 14053, 780, 1789, 269, 9046, 14572, 10557, 543, 26960, 1312, 22755, 689, 16011, 623, 547, 16011, 1627, 269, 1358, 3323, 741, 15322, 693, 1114, 2053, 269, 10557, 22755, 693, 606, 3328, 540, 476, 3393, 5998, 10774, 543, 3576, 476, 2412, 3764, 269, 26960, 22755, 693, 606, 3328, 3432, 540, 476, 7761, 5998, 10774, 543, 6603, 16011, 1627, 693, 519, 1482, 942, 607, 10557, 780, 4029, 269, 9046, 14572, 10557, 543, 26960, 1312, 22755, 689, 16011, 623, 547, 16011, 1627, 269, 1358, 3323, 741, 15322, 693, 1114, 2053, 269, 10557, 22755, 693, 606, 3328, 540, 476, 3393, 5998, 10774, 543, 3576, 476, 2412, 3764, 269, 26960, 22755, 693, 606, 3328, 3432, 540, 476, 7761, 5998, 10774, 543, 6603, 16011, 1627, 693, 519, 1482, 942, 607, 10557, 269, 17726, 815, 20028, 25104, 372, 5384, 476, 3393, 815, 20028, 25104, 372, 476, 273, 270, 274, 692, 3953, 269, 9046, 14572, 10557, 543, 26960, 1312, 22755, 689, 16011, 623, 547, 16011, 1627, 269, 1358, 3323, 741, 15322, 693, 1114, 2053, 269, 10557, 22755, 693, 606, 3328, 540, 476, 3393, 5998, 10774, 543, 3576, 476, 2412, 3764, 269, 26960, 22755, 693, 606, 3328, 3432, 540, 476, 7761, 5998, 10774, 543, 6603, 16011, 1627, 693, 519, 1482, 942, 607, 10557, 269, 476, 2568, 3764, 26905, 476, 3393, 5998, 476, 736, 3764, 26905, 476, 1428, 5998, 476, 2412, 3764, 26905, 7790, 286, 5998, 692, 3451, 269, 13419, 3293, 5999, 1215, 2484, 729, 16011, 623, 689, 16011, 1627, 286, 1215, 1082, 3764, 2663, 982, 10557, 1705, 26960, 1376, 713, 3460, 2496, 4097, 269, 9046, 14572, 10557, 543, 26960, 1312, 22755, 689, 16011, 623, 547, 16011, 1627, 269, 1358, 3323, 741, 15322, 693, 1114, 2053, 269, 10557, 22755, 693, 606, 3328, 540, 476, 3393, 5998, 10774, 543, 3576, 476, 2412, 3764, 269, 26960, 22755, 693, 606, 3328, 3432, 540, 476, 7761, 5998, 10774, 543, 6603, 16011, 1627, 693, 519, 1482, 942, 607, 10557, 269, 476, 7761, 5998, 26905, 476, 2568, 3764, 476, 1321, 5998, 26905, 476, 1015, 3764, 692, 3374, 269, 9046, 14572, 6341, 4991, 8096, 274, 811, 17927, 2724, 982, 7585, 1142, 3018, 269, 1358, 1142, 6108, 8096, 1428, 829, 3018, 593, 1426, 543, 4688, 519, 1964, 269, 1879, 6341, 17990, 8096, 7761, 267, 7585, 1152, 17990, 8096, 4366, 780, 3607, 269, 6341, 8096, 7761, 7585, 8096, 2190, 8096, 4366, 7089, 540, 4374, 815, 476, 2190, 25104, 372, 476, 274, 815, 476, 279, 692, 4391, 269, 6341, 8096, 7761, 7585, 8096, 2190, 8096, 4366, 1215, 1454, 17927, 2724, 1281, 7585, 1205, 1142, 3018, 2496, 4343, 269, 6478, 10819, 966, 8643, 729, 2016, 8096, 275, 547, 6108, 1282, 12424, 269, 2701, 6170, 476, 3445, 21347, 593, 513, 9269, 13617, 543, 476, 4792, 21347, 593, 513, 11480, 540, 7777, 1216, 269, 1215, 1454, 1705, 1352, 723, 2451, 2496, 4375, 269, 30003, 6478, 9046, 11427, 654, 784, 814, 476, 2190, 512, 11301, 269, 2701, 24502, 782, 540, 873, 883, 10833, 269, 3962, 4216, 6585, 476, 275, 512, 11301, 269, 1548, 568, 519, 2698, 1297, 540, 10833, 1352, 1031, 2496, 2412, 269, 30003, 6478, 9046, 11427, 654, 784, 814, 476, 2918, 512, 11301, 269, 2701, 24502, 782, 540, 873, 883, 10833, 269, 3962, 4216, 6585, 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 ]
[ 543, 11201, 569, 14354, 547, 519, 3444, 22891, 1858, 540, 519, 5911, 610, 11425, 269, 1280, 1383, 267, 513, 1279, 13176, 5569, 786, 12701, 811, 982, 513, 2110, 835, 267, 543, 513, 5394, 5569, 786, 12701, 1447, 982, 513, 6094, 835, 269, 1284, 666, 9192, 782, 891, 2188, 883, 835, 3830, 585, 4399, 18773, 700, 259, 1384, 259, 24941, 299, 284, 272, 312, 293, 3201, 271, 267, 6911, 3602, 4399, 18773, 700, 259, 568, 519, 1689, 538, 3259, 267, 1269, 293, 259, 519, 4294, 3196, 267, 1269, 312, 259, 568, 513, 3815, 267, 1572, 519, 13412, 29870, 610, 8479, 779, 29870, 267, 602, 5673, 593, 519, 6219, 267, 1269, 288, 259, 568, 519, 3444, 22891, 1858, 267, 543, 20270, 299, 13925, 271, 4151, 568, 519, 3312, 3259, 269, 7305, 476, 272, 8638, 2418, 540, 1269, 312, 259, 585, 1896, 2326, 1765, 29006, 609, 513, 1804, 1269, 312, 259, 616, 1767, 547, 723, 513, 1804, 28995, 4222, 1317, 789, 22775, 1447, 585, 513, 2016, 8082, 610, 13496, 780, 7462, 7305, 476, 272, 281, 4432, 2880, 3525, 25625, 692, 7343, 6918, 1493, 543, 3328, 2418, 269, 8479, 779, 1110, 25625, 1269, 312, 259, 585, 8082, 543, 13496, 3006, 8428, 855, 616, 30714, 1934, 269, 24942, 814, 3648, 1114, 8479, 779, 1110, 25625, 585, 8082, 543, 13496, 780, 300, 1468, 8479, 779, 29870, 630, 11364, 1700, 4818, 1833, 264, 312, 4399, 3847, 263, 3189, 3667, 346, 1015, 3686, 17353, 3667, 346, 280, 14990, 28783, 3189, 22364, 346, 271, 269, 1839, 655, 2410, 271, 1410, 24828, 3667, 346, 301, 8276, 3686, 17353, 3667, 346, 273, 14990, 2431, 7751, 2701, 541, 29870, 590, 7445, 3847, 263, 3189, 3667, 346, 1015, 3686, 17353, 3667, 346, 280, 14990, 28783, 3189, 22364, 346, 271, 269, 1839, 655, 2410, 271, 1410, 24828, 3667, 346, 301, 8276, 3686, 17353, 3667, 346, 273, 14990, 2431, 7751, 10089, 330, 29870, 645, 4399, 3847, 263, 3189, 3667, 346, 1015, 3686, 17353, 3667, 346, 280, 14990, 28783, 3189, 22364, 346, 271, 269, 1839, 655, 2410, 271, 1410, 24828, 3667, 346, 301, 8276, 3686, 17353, 3667, 346, 273, 14990, 2431, 7751, 454, 2704, 26891, 476, 3583, 476, 1839, 476, 4037, 454, 289, 821, 1107, 8082, 476, 1626, 476, 3199, 476, 279, 454, 289, 821, 1107, 13496, 476, 280, 454, 289, 14993, 476, 3445, 476, 3374, 476, 4037, 454, 289, 4459, 476, 1428, 454, 3519, 4740, 476, 736, 454, 10908, 817, 476, 3583, 476, 736, 476, 1789, 454, 294, 3757, 924, 476, 3393, 476, 736, 476, 3393, 454, 295, 1515, 630, 16058, 264, 476, 1015, 454, 26773, 6229, 476, 1428, 476, 1015, 454, 27860, 267, 5641, 476, 1911, 476, 2412, 476, 3445, 454, 22117, 476, 1626, 476, 276, 476, 2004, 454, 11321, 1076, 476, 2568, 476, 736, 476, 3583, 454, 301, 14125, 476, 276, 454, 28139, 560, 344, 16867, 476, 274, 454, 306, 20488, 476, 277, 454, 8967, 3187, 8142, 476, 274, 454, 17556, 601, 476, 13975, 476, 3199, 476, 9873, 454, 307, 754, 517, 476, 272, 454, 10907, 564, 821, 7545, 476, 271, 269, 278, 454, 20685, 12935, 7545, 476, 271, 269, 280, 454, 294, 22318, 514, 7545, 476, 275, 269, 276, 454, 300, 11697, 7545, 476, 1839, 454, 12850, 7545, 476, 273, 269, 273, 692, 21930, 779, 1110, 25625, 616, 711, 7396, 585, 15559, 543, 9362, 538, 7305, 476, 272, 1317, 789, 3112, 581, 21401, 610, 19316, 538, 1152, 835, 4287, 269, 8074, 602, 972, 568, 606, 13429, 602, 519, 1843, 1281, 711, 17108, 267, 865, 602, 972, 616, 2965, 1079, 4294, 4229, 540, 9588, 1269, 293, 259, 9117, 538, 6587, 8846, 269, 1280, 1383, 267, 519, 12673, 538, 7612, 476, 274, 616, 1373, 15504, 1524, 676, 513, 3196, 540, 9588, 1269, 342, 259, 543, 4371, 909, 676, 519, 18109, 267, 799, 849, 11851, 338, 513, 3196, 540, 9588, 1269, 342, 16859, 30607, 7151, 476, 272, 281, 634, 853, 4958, 577, 540, 513, 7043, 595, 762, 692, 306, 22273, 3290, 15791, 616, 1031, 547, 4163, 575, 1180, 15614, 693, 20744, 759, 2176, 269, 630, 8450, 7612, 476, 275, 264, 6333, 513, 20022, 10814, 602, 2882, 606, 5667, 6269, 9285, 12732, 540, 476, 274, 5998, 269, 12433, 519, 2179, 540, 12701, 538, 519, 5374, 10814, 269, 27539, 602, 519, 10814, 814, 513, 8006, 540, 476, 276, 269, 277, 4699, 543, 519, 5021, 8082, 621, 666, 16641, 568, 1269, 274, 20728, 346, 269, 348, 271, 9943, 3189, 3667, 346, 1015, 3686, 3867, 277, 4153, 28783, 3189, 22364, 346, 271, 269, 1839, 655, 2410, 271, 1410, 14990, 3667, 346, 301, 31859, 8201, 476, 275, 281, 717, 1180, 15614, 2951, 2059, 20022, 15791, 693, 519, 717, 8403, 962, 15120, 11867, 20744, 18992, 538, 3567, 269, 630, 920, 9016, 281, 23052, 344, 670, 9007, 267, 674, 5585, 337, 2020, 25618, 344, 692, 763, 3196, 568, 3160, 547, 519, 5021, 8082, 267, 610, 1269, 293, 284, 274, 20728, 346, 269, 348, 271, 9943, 3189, 3667, 346, 1015, 3686, 3867, 277, 4153, 28783, 3189, 22364, 346, 271, 269, 1839, 655, 2410, 271, 1410, 14990, 3667, 346, 301, 23201, 634, 3444, 22891, 1858, 568, 12276, 9507, 3189, 7032, 678, 3686, 3867, 273, 13157, 273, 20728, 346, 269, 4153, 3667, 346, 5379, 348, 9943, 3189, 3667, 346, 1015, 3686, 13064, 274, 4153, 28783, 3189, 22364, 346, 271, 269, 1839, 655, 2410, 271, 1410, 24828, 3667, 31551, 3686, 3867, 273, 23201, 634, 3830, 4399, 18773, 700, 7807, 2765, 346, 272, 2410, 312, 4153, 2765, 346, 293, 2410, 288, 2410, 299, 13925, 271, 4151, 666, 581, 1031, 547, 1265, 519, 1689, 538, 3259, 780, 11405, 692, 5472, 9424, 616, 1634, 269, 4935, 10484, 259, 24941, 700, 815, 476, 272, 476, 13975, 6398, 476, 1015, 476, 280, 715, 8276, 476, 273, 476, 274, 1547, 476, 271, 6398, 476, 1015, 476, 277, 715, 476, 273, 269, 5379, 6398, 476, 1015, 1107, 274, 544, 476, 273, 476, 23714, 271, 544, 815, 476, 1240, 544, 1547, 6911, 30206, 692, 1607, 568, 3833, 513, 12701, 267, 855, 1152, 827, 476, 271, 269, 277, 260, 540, 519, 5667, 6269, 9285, 3259, 269, 12186, 540, 2837, 2390, 3259, 1522, 581, 1271, 538, 891, 5054, 780, 289, 2158, 267, 593, 519, 2898, 267, 798, 711, 17795, 1813, 547, 8082, 610, 13496, 269, 13298, 789, 3622, 17795, 1813, 547, 2427, 1811, 1764, 610, 19755, 267, 4611, 538, 519, 5642, 1352, 2130, 610, 2879, 6260, 269, 634, 2623, 540, 7633, 896, 8082, 543, 13496, 568, 1271, 1317, 621, 11887, 519, 4452, 519, 7633, 666, 4163, 269, 645, 2158, 616, 9286, 607, 2597, 24481, 3889, 971, 607, 9587, 538, 5656, 543, 4054, 269, 13379, 24481, 3889, 723, 2027, 2934, 282, 9587, 538, 2679, 723, 5374, 3146, 514, 1721, 1424, 22203, 1247, 4054, 543, 7633, 616, 32248, 269, 634, 7633, 538, 1114, 2694, 540, 519, 1560, 4196, 1114, 7293, 3252, 543, 616, 12155, 547, 1114, 17613, 269, 4935, 519, 5642, 538, 519, 1283, 540, 519, 3185, 584, 568, 11231, 538, 6094, 9212, 9674, 676, 20768, 1247, 538, 824, 4025, 519, 7633, 666, 581, 20425, 543, 4904, 609, 20768, 610, 1175, 4396, 269, 3683, 7076, 1004, 723, 513, 12402, 4724, 5642, 3441, 1813, 547, 13455, 735, 11306, 538, 5642, 10549, 543, 28844, 780, 5194, 6211, 1383, 540, 670, 5622, 651, 779, 1876, 4386, 538, 28844, 269, 9577, 958, 267, 519, 25688, 630, 1492, 5160, 8220, 4887, 547, 5642, 264, 1590, 12701, 3362, 693, 1101, 950, 513, 3196, 568, 4294, 267, 855, 2709, 513, 1454, 3152, 19620, 3196, 585, 513, 3152, 8833, 269, 7612, 476, 276, 2982, 513, 2566, 3613, 1778, 2078, 585, 513, 1480, 25688, 269, 2368, 28844, 723, 513, 1164, 20018, 1543, 865, 972, 568, 5266, 2370, 8833, 267, 610, 3259, 1689, 282, 1866, 267, 899, 1489, 28844, 630, 553, 538, 519, 1850, 264, 666, 1689, 3259, 909, 547, 476, 1015, 10065, 8074, 602, 713, 2566, 3613, 1778, 7455, 568, 22357, 267, 2094, 519, 9386, 540, 519, 1899, 2242, 538, 1114, 4525, 269, 769, 519, 1101, 851, 540, 519, 12701, 1572, 519, 23179, 3148, 267, 519, 11103, 538, 519, 25688, 2253, 547, 5447, 538, 519, 4287, 540, 519, 2566, 1765, 10472, 568, 1572, 4608, 3234, 4771, 269, 769, 519, 5276, 3148, 267, 519, 27417, 2812, 786, 581, 21401, 267, 543, 538, 519, 5821, 3148, 1367, 11103, 2253, 547, 2736, 269, 589, 2241, 2203, 540, 713, 2078, 666, 581, 11609, 676, 20950, 538, 6252, 281, 1114, 20950, 616, 15181, 693, 1114, 13080, 540, 12701, 269, 6201, 540, 713, 616, 2016, 538, 519, 2042, 693, 1439, 540, 713, 3184, 269, 700, 580, 14613, 630, 339, 22568, 8220, 5642, 547, 5642, 264, 13789, 538, 513, 2147, 1259, 780, 8201, 476, 276, 281, 30003, 2566, 3613, 1778, 7455, 585, 27899, 25688, 269, 8422, 4525, 616, 3254, 281, 630, 272, 264, 23179, 3148, 630, 273, 264, 5276, 3148, 267, 543, 630, 274, 264, 5821, 3148, 780, 19284, 7633, 543, 28844, 267, 799, 991, 547, 581, 2178, 607, 1134, 607, 13412, 267, 519, 16209, 543, 9641, 991, 547, 581, 1360, 12701, 762, 269, 634, 13412, 3601, 540, 519, 16209, 616, 1898, 585, 1973, 2095, 269, 634, 2604, 538, 519, 16209, 4679, 543, 27555, 6821, 12701, 950, 519, 1973, 568, 29253, 856, 540, 519, 2295, 269, 1879, 519, 513, 20294, 11896, 695, 7491, 267, 519, 2604, 538, 519, 16209, 12772, 543, 519, 27555, 6821, 6001, 547, 2226, 519, 1973, 2095, 269, 1879, 596, 1745, 707, 13942, 267, 596, 616, 4743, 4010, 713, 9789, 13412, 2623, 540, 519, 16209, 607, 519, 1973, 575, 16640, 998, 609, 1142, 6802, 540, 519, 2295, 269, 1403, 519, 16209, 941, 14461, 267, 596, 1131, 711, 1745, 513, 13942, 269, 634, 2295, 568, 849, 606, 1418, 609, 2027, 13412, 3601, 269, 634, 9641, 4228, 609, 16757, 4674, 950, 649, 13236, 538, 855, 6001, 11884, 543, 1714, 16484, 950, 649, 13236, 856, 269, 3776, 32675, 616, 3226, 13412, 267, 2523, 585, 519, 1762, 269, 589, 1762, 1268, 666, 979, 689, 476, 1911, 4846, 547, 476, 2568, 4846, 609, 1100, 7298, 29345, 538, 741, 32675, 269, 634, 22786, 540, 782, 8219, 6971, 609, 2085, 269, 19573, 531, 12214, 10172, 998, 5786, 538, 22786, 6238, 538, 519, 2038, 476, 736, 338, 780, 30607, 7151, 476, 273, 281, 29626, 1546, 4146, 281, 1215, 13518, 6496, 2659, 6181, 10374, 523, 1879, 1411, 5776, 593, 898, 2496, 24280, 519, 1689, 538, 3259, 540, 519, 5580, 1850, 5642, 630, 1492, 3185, 584, 264, 950, 513, 476, 3583, 269, 271, 4846, 812, 7028, 476, 7830, 269, 271, 4846, 540, 1010, 2527, 593, 621, 267, 14322, 519, 5642, 547, 581, 6697, 547, 513, 7833, 11425, 602, 568, 476, 2412, 269, 271, 4699, 1279, 543, 476, 273, 269, 876, 4699, 538, 8953, 780, 25618, 344, 692, 763, 3196, 568, 3160, 547, 519, 2597, 6462, 267, 610, 692, 259, 293, 284, 16936, 284, 7830, 269, 271, 4846, 280, 269, 3199, 544, 4882, 273, 284, 2568, 278, 269, 277, 715, 267, 6911, 663, 519, 3444, 22891, 1858, 568, 12276, 9507, 3189, 7032, 678, 3686, 3867, 273, 13157, 272, 20728, 346, 269, 4153, 3667, 346, 27038, 348, 9943, 3189, 3667, 346, 1015, 3686, 13064, 274, 4153, 28783, 3189, 22364, 346, 271, 269, 1839, 655, 2410, 271, 1410, 24828, 3667, 31551, 3686, 3867, 273, 23201, 634, 3830, 4399, 18773, 700, 7807, 2765, 346, 272, 2410, 312, 4153, 2765, 346, 293, 2410, 288, 2410, 299, 13925, 271, 4151, 666, 581, 1031, 547, 1265, 519, 1689, 538, 3259, 780, 11405, 692, 5472, 9424, 4849, 4399, 18773, 700, 259, 616, 1634, 269, 8074, 602, 519, 13496, 1871, 585, 8479, 779, 29870, 585, 5642, 1590, 581, 1031, 1934, 269, 4935, 10484, 259, 24941, 700, 815, 476, 272, 476, 280, 6398, 476, 1015, 476, 280, 715, 8276, 476, 273, 476, 2568, 278, 1547, 476, 277, 715, 476, 272, 269, 476, 27038, 6398, 476, 1015, 6567, 476, 274, 544, 476, 273, 630, 271, 269, 6110, 544, 264, 815, 476, 273, 9943, 1015, 6629, 276, 544, 269, 6911, 30206, 692, 1607, 1507, 1689, 538, 3259, 4667, 10257, 267, 5812, 609, 938, 1995, 602, 7633, 616, 14461, 269, 769, 1249, 267, 1256, 519, 2864, 1804, 4229, 11402, 1282, 588, 1066, 6681, 2168, 2534, 798, 711, 14771, 610, 18846, 7633, 676, 1804, 5666, 269, 4014, 5642, 568, 14461, 3379, 609, 3170, 610, 4887, 267, 1896, 540, 519, 6878, 7396, 538, 7305, 476, 272, 723, 3677, 2418, 540, 8479, 779, 29870, 1269, 312, 10608, 769, 824, 1913, 267, 789, 616, 811, 14461, 543, 723, 3152, 28995, 4222, 780, 763, 3830, 585, 1689, 538, 3259, 568, 12926, 22198, 6548, 543, 2854, 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, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 3973, 2290, 646, 2206, 956, 689, 519, 595, 4319, 267, 1656, 1750, 619, 519, 6126, 7009, 282, 2060, 875, 798, 596, 798, 267, 543, 875, 798, 596, 798, 267, 1656, 875, 798, 596, 798, 1586, 3034, 1765, 3627, 22985 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 271, 543, 21222, 517, 2342, 563, 10468, 758, 573, 2284, 568, 513, 11450, 1063, 519, 667, 298, 293, 543, 1896, 3549, 602, 20647, 538, 9910, 4405, 1436, 540, 31533, 3937, 630, 10175, 31533, 15450, 264, 543, 521, 12643, 550, 2029, 585, 3866, 903, 622, 20344, 269, 901, 11450, 568, 6322, 693, 3384, 513, 1507, 267, 15409, 688, 655, 617, 658, 1736, 3926, 602, 786, 5512, 811, 7928, 31533, 7886, 267, 11863, 811, 8112, 585, 2550, 543, 2087, 3461, 2298, 540, 1272, 267, 607, 1134, 607, 2569, 1072, 13282, 3790, 269, 634, 1101, 18634, 568, 4867, 18460, 840, 30570, 4152, 543, 568, 4397, 547, 581, 7318, 538, 3425, 4166, 267, 609, 519, 2832, 540, 11744, 6169, 6361, 8410, 1061, 585, 519, 1101, 15409, 688, 655, 617, 658, 1736, 3684, 585, 3232, 946, 267, 8506, 1152, 513, 3908, 4320, 540, 3866, 903, 622, 269, 769, 1840, 547, 519, 1646, 540, 9910, 4405, 1436, 4066, 267, 519, 11450, 568, 849, 14236, 519, 946, 540, 12249, 17011, 602, 11863, 5916, 19288, 543, 10338, 547, 3035, 811, 2500, 688, 655, 617, 658, 1736, 15946, 563, 301, 32397, 6331, 1235, 3690, 14127, 12920, 617, 658, 1736, 8881, 454, 301, 32397, 6331, 1235, 3690, 14127, 12920, 617, 658, 1736, 8881, 630, 18199, 9169, 264, 568, 513, 10319, 11036, 540, 519, 6789, 301, 543, 15544, 585, 8376, 6513, 543, 10644, 630, 24922, 264, 602, 568, 6322, 693, 5466, 513, 1808, 28658, 7915, 547, 4207, 31533, 2443, 3968, 269, 769, 476, 1001, 277, 267, 519, 15509, 4767, 602, 476, 1015, 260, 540, 31533, 2550, 538, 519, 7330, 5747, 1142, 1032, 607, 519, 1267, 540, 5563, 2443, 1034, 540, 799, 941, 28824, 269, 634, 2832, 540, 24857, 9169, 568, 547, 1020, 543, 11766, 10124, 547, 3035, 4642, 28824, 5563, 538, 31533, 6703, 2066, 519, 7330, 269, 1677, 3914, 713, 3804, 267, 24857, 9169, 3096, 513, 3818, 17376, 784, 539, 1935, 269, 1280, 1383, 267, 2069, 2994, 3842, 12326, 16928, 267, 9610, 267, 15221, 267, 16318, 267, 16960, 543, 1357, 21577, 602, 2232, 1585, 3344, 540, 3968, 6604, 543, 4441, 540, 1416, 267, 946, 540, 1514, 2923, 267, 1646, 540, 606, 7317, 3184, 585, 27466, 525, 543, 19353, 267, 543, 14376, 15872, 616, 6322, 693, 4180, 602, 26669, 6331, 1235, 267, 11923, 267, 31533, 16984, 543, 824, 4648, 1174, 519, 1981, 540, 31533, 5829, 5563, 543, 2963, 2861, 1655, 2324, 2853, 563, 18199, 9169, 849, 25998, 609, 4966, 538, 3968, 7020, 267, 6604, 543, 2126, 1369, 5313, 267, 1533, 543, 2199, 1072, 13623, 945, 666, 1683, 5796, 543, 6351, 602, 568, 4830, 540, 519, 9431, 543, 5732, 5309, 1438, 7916, 540, 1072, 13623, 269, 24857, 9169, 8992, 519, 3617, 946, 540, 891, 4966, 538, 5468, 1141, 4274, 5796, 568, 2877, 563, 2414, 3895, 5718, 1851, 13500, 543, 11923, 267, 24857, 9169, 568, 13384, 1681, 513, 5718, 30028, 547, 2327, 602, 1702, 17640, 547, 2963, 2861, 1655, 2324, 2853, 568, 4294, 547, 2087, 32262, 538, 4791, 2259, 269, 13229, 5718, 568, 513, 10421, 267, 3226, 538, 1950, 5468, 267, 547, 2327, 602, 3461, 3106, 568, 3922, 1242, 543, 547, 18663, 5234, 547, 946, 1655, 2853, 563, 18199, 9169, 616, 849, 23712, 609, 1480, 2188, 8030, 547, 1353, 519, 32262, 1031, 538, 688, 655, 617, 658, 1736, 6703, 543, 948, 547, 5581, 2081, 540, 9319, 6959, 602, 1291, 547, 3968, 269, 1306, 513, 1101, 1900, 538, 713, 1184, 267, 24857, 9169, 543, 1480, 2188, 8030, 723, 6170, 942, 538, 1585, 688, 655, 617, 658, 1736, 6703, 547, 3489, 1344, 827, 519, 1950, 3157, 540, 1416, 1369, 1346, 6703, 267, 3226, 609, 2543, 547, 519, 946, 540, 688, 655, 617, 658, 1736, 25108, 1562, 543, 4485, 547, 1688, 9882, 267, 13297, 3106, 543, 771, 26529, 269, 14568, 1620, 540, 1699, 3157, 949, 1291, 547, 1732, 20104, 1374, 563, 7661, 267, 1759, 593, 4245, 4121, 1282, 519, 24954, 19822, 540, 476, 1001, 275, 267, 606, 24857, 9169, 960, 1895, 814, 2966, 3157, 547, 18783, 543, 4431, 547, 6397, 1072, 13282, 16839, 269, 2311, 519, 942, 540, 1603, 713, 5623, 267, 519, 24857, 9169, 2319, 568, 2324, 609, 15509, 543, 688, 655, 617, 658, 1736, 3906, 547, 18783, 543, 4431, 547, 519, 5046, 268, 866, 15435, 543, 922, 1198, 593, 31533, 1416, 563, 763, 32285, 12480, 1736, 15356, 454, 2026, 5941, 4505, 267, 8459, 5821, 3788, 513, 2669, 4845, 585, 1082, 7264, 540, 30838, 2975, 338, 19962, 547, 513, 3668, 540, 1569, 547, 31533, 269, 769, 3210, 547, 519, 10296, 991, 585, 1942, 15807, 31533, 3681, 267, 519, 4139, 5980, 540, 13605, 327, 14347, 538, 5698, 609, 519, 6723, 4659, 585, 6820, 2657, 543, 519, 7489, 7414, 5980, 540, 13605, 327, 14347, 9250, 519, 32285, 12480, 1736, 15356, 538, 476, 1001, 278, 609, 519, 6662, 540, 14123, 519, 1374, 540, 513, 31533, 1062, 602, 1131, 1942, 1447, 982, 2475, 1269, 272, 267, 1822, 267, 543, 1683, 2126, 585, 1447, 982, 1269, 276, 513, 1554, 267, 2943, 581, 607, 2922, 543, 2500, 607, 4540, 31533, 1949, 269, 634, 16101, 729, 13752, 547, 606, 11653, 585, 513, 1062, 602, 8255, 1055, 3859, 1379, 543, 2882, 513, 20538, 1253, 14525, 585, 6721, 6986, 1216, 689, 1022, 2707, 3842, 9252, 1253, 20746, 269, 634, 29881, 1216, 666, 1287, 581, 6404, 609, 32690, 538, 8900, 19113, 11435, 547, 3132, 10464, 267, 19471, 31533, 3435, 269, 901, 4640, 14439, 519, 3668, 540, 10464, 267, 1164, 7779, 1216, 607, 513, 2101, 15641, 2939, 547, 31533, 538, 30838, 2975, 338, 543, 700, 2975, 338, 269, 634, 1062, 786, 23679, 3514, 883, 513, 1507, 9290, 13826, 13893, 269, 901, 3926, 3788, 896, 1646, 609, 519, 3804, 540, 27510, 4791, 8062, 543, 6038, 5010, 1944, 519, 2029, 563, 29248, 10062, 538, 7266, 516, 688, 655, 617, 658, 1736, 454, 2690, 930, 2550, 609, 8459, 5821, 267, 5826, 538, 7266, 516, 688, 655, 617, 658, 1736, 786, 2141, 581, 519, 9053, 2126, 267, 543, 5103, 10996, 643, 1944, 3609, 682, 951, 267, 789, 786, 711, 581, 5461, 538, 13197, 1753, 31533, 610, 8459, 24328, 269, 769, 7266, 516, 1582, 1673, 658, 1736, 630, 10193, 5219, 547, 607, 23518, 688, 655, 617, 658, 1736, 264, 12090, 538, 13785, 267, 950, 513, 1762, 11653, 3957, 4168, 12426, 534, 8120, 547, 688, 655, 617, 658, 1736, 538, 476, 1001, 271, 1310, 513, 8959, 13003, 269, 12426, 534, 3459, 27410, 609, 1010, 11923, 547, 1685, 1010, 1378, 31533, 5574, 609, 5234, 15569, 543, 9575, 519, 3007, 540, 824, 2550, 13970, 269, 16828, 267, 519, 1184, 540, 1582, 1673, 658, 1736, 1369, 713, 8998, 2443, 17929, 19393, 538, 519, 31533, 1770, 5721, 1004, 547, 1491, 936, 1852, 540, 741, 1378, 5574, 543, 1072, 2443, 8057, 865, 2442, 602, 513, 1007, 1770, 729, 3710, 693, 519, 6413, 585, 1582, 1673, 658, 1736, 2550, 1152, 267, 609, 3461, 3403, 883, 519, 1374, 540, 519, 1770, 269, 4595, 1287, 267, 1582, 13282, 4559, 941, 8704, 538, 1896, 688, 655, 617, 658, 1736, 4559, 538, 2342, 543, 519, 7330, 267, 5356, 2550, 519, 13190, 543, 8112, 540, 1753, 688, 655, 617, 658, 1736, 1369, 519, 3106, 540, 513, 6417, 1604, 269, 901, 1935, 547, 16779, 2550, 814, 711, 1044, 4922, 1031, 547, 4266, 267, 855, 19262, 11826, 1353, 543, 6268, 16409, 563, 7230, 1774, 5464, 547, 1489, 1582, 13282, 454, 5938, 548, 25924, 568, 3989, 607, 519, 5907, 5385, 540, 2564, 1344, 1063, 4609, 609, 519, 2832, 540, 5355, 513, 3461, 779, 1072, 269, 17791, 8234, 13315, 513, 6626, 1305, 540, 2533, 971, 607, 519, 11865, 540, 3872, 1543, 269, 1715, 4066, 723, 3376, 2989, 519, 9165, 540, 7658, 25924, 543, 7658, 8234, 3156, 543, 2533, 267, 1818, 891, 2645, 811, 3015, 543, 3730, 538, 519, 1416, 540, 2550, 945, 2661, 20716, 610, 723, 7411, 9683, 513, 16758, 269, 634, 2039, 540, 2533, 602, 666, 581, 9447, 676, 7658, 8234, 1631, 2882, 1079, 17574, 7317, 3381, 267, 3926, 1239, 5752, 267, 607, 2106, 28942, 20261, 267, 8596, 585, 6552, 5464, 543, 2823, 1023, 547, 5512, 2550, 547, 1569, 5907, 1072, 5638, 269, 4014, 5266, 896, 13231, 1221, 538, 688, 655, 617, 658, 1736, 2550, 547, 4266, 267, 7658, 8234, 814, 519, 1761, 547, 2333, 519, 10343, 540, 1753, 31533, 543, 2087, 3461, 9547, 267, 1247, 5732, 13302, 3790, 543, 5355, 4093, 563, 5938, 548, 8234, 543, 519, 6552, 5464, 540, 31533, 2550, 814, 1831, 811, 28125, 538, 519, 2250, 8717, 267, 3226, 538, 5245, 267, 1141, 7658, 8234, 568, 1031, 4922, 585, 2550, 8391, 1753, 31533, 269, 17791, 25924, 568, 849, 2808, 513, 1489, 1907, 585, 8459, 1416, 538, 9568, 3871, 971, 607, 16767, 1141, 1082, 2043, 538, 6552, 6753, 666, 581, 4299, 269, 17791, 25924, 814, 849, 1044, 1031, 585, 3845, 5464, 540, 2550, 8391, 19113, 15704, 267, 16825, 269, 769, 519, 7330, 267, 519, 645, 760, 691, 16388, 20907, 2920, 540, 476, 1001, 279, 3769, 14074, 547, 4228, 7658, 8234, 3795, 547, 1331, 2550, 593, 1753, 31533, 269, 901, 9086, 2636, 2550, 593, 1753, 31533, 547, 3442, 547, 723, 741, 10865, 1416, 4491, 3187, 11564, 1491, 1747, 3842, 7658, 8234, 267, 1510, 13664, 9993, 269, 634, 5571, 5046, 268, 866, 6855, 814, 849, 8507, 538, 606, 13778, 543, 4028, 7269, 538, 519, 946, 540, 7658, 25924, 585, 3246, 1072, 1416, 538, 1082, 4525, 5001, 267, 1519, 585, 519, 1416, 540, 2550, 18460, 538, 7266, 516, 688, 655, 617, 658, 1736, 269, 634, 1995, 6591, 1282, 713, 6855, 814, 519, 1761, 547, 18385, 7842, 7658, 25924, 538, 1072, 13282, 6765, 538, 1082, 1072, 13282, 1949, 563, 7212, 7658, 8234, 814, 9645, 9153, 585, 519, 1416, 540, 31533, 2550, 267, 519, 6388, 540, 7658, 8234, 538, 4791, 2259, 666, 581, 4101, 14983, 269, 17791, 8234, 28621, 3660, 3059, 4205, 723, 519, 1761, 547, 2087, 4093, 998, 519, 11865, 540, 2238, 971, 607, 25191, 3461, 7266, 1042, 2069, 267, 6552, 2792, 543, 1239, 5385, 267, 538, 25571, 4791, 5583, 543, 5464, 267, 4879, 540, 13310, 543, 5924, 2126, 12117, 543, 15984, 267, 1483, 6066, 14842, 540, 5574, 543, 2038, 25887, 585, 2042, 602, 2154, 6304, 267, 4352, 782, 540, 891, 7459, 991, 547, 581, 22759, 3585, 7318, 5611, 563, 763, 3864, 26640, 2657, 19137, 454, 763, 3864, 26640, 2657, 19137, 630, 292, 298, 11190, 264, 568, 513, 1875, 3766, 21194, 3919, 1759, 538, 29761, 267, 19934, 267, 799, 15156, 585, 8459, 2550, 543, 519, 26669, 14347, 2146, 693, 4143, 4703, 540, 519, 9167, 543, 849, 693, 3864, 3084, 3906, 269, 634, 661, 298, 11190, 4564, 782, 540, 519, 2101, 8639, 538, 8459, 1416, 267, 1519, 13500, 267, 2550, 267, 11923, 543, 13210, 269, 634, 3527, 540, 519, 661, 298, 11190, 616, 6462, 676, 513, 6131, 1895, 540, 16840, 540, 3864, 12057, 269, 2986, 4063, 267, 2687, 547, 519, 14097, 540, 28988, 2548, 14681, 267, 1072, 13282, 1949, 616, 519, 5539, 540, 519, 3084, 8128, 540, 9167, 2477, 267, 799, 7182, 519, 1909, 540, 519, 3864, 8189, 547, 835, 540, 9148, 532, 3084, 4507, 543, 5807, 9316, 269, 634, 661, 298, 11190, 814, 17298, 1896, 7341, 538, 519, 1858, 540, 8459, 1416, 267, 5631, 2519, 593, 3800, 547, 6175, 519, 3790, 540, 8459, 1416, 1247, 4509, 2298, 540, 1416, 543, 1569, 585, 782, 3617, 10457, 267, 543, 547, 2569, 3747, 585, 31533, 676, 5009, 3646, 547, 2061, 519, 11144, 540, 8459, 2068, 267, 543, 8716, 8459, 24328, 607, 519, 918, 20670, 540, 3903, 5780, 267, 13923, 269, 769, 476, 1708, 272, 267, 519, 661, 298, 11190, 786, 1445, 593, 32158, 9309, 618, 2994, 543, 1569, 547, 918, 20670, 267, 2523, 1753, 688, 655, 617, 658, 1736, 563, 763, 13605, 327, 14347, 543, 5398, 8889, 9730, 568, 513, 2147, 11036, 2813, 676, 519, 3864, 11412, 531, 5948, 1700, 28158, 12480, 1736, 543, 3690, 8690, 5948, 630, 2207, 288, 1700, 3633, 14011, 1040, 901, 12233, 6663, 547, 14377, 1271, 8459, 5829, 4791, 3584, 883, 1857, 3609, 267, 1519, 519, 3406, 585, 3209, 31036, 540, 595, 28474, 267, 5355, 5912, 1063, 17328, 8824, 543, 2937, 26669, 14347, 267, 543, 5355, 5698, 1063, 519, 661, 6938, 268, 3633, 14011, 3204, 3588, 543, 519, 5583, 1560, 540, 519, 661, 6938, 268, 3633, 14011, 267, 3864, 11412, 531, 7454, 6657, 14631, 563, 6826, 908, 26640, 8376, 454, 29310, 609, 519, 10656, 18966, 585, 13605, 327, 14347, 543, 519, 10656, 26640, 14904, 5948, 267, 519, 667, 298, 293, 814, 15748, 513, 7580, 16786, 585, 1382, 543, 5647, 538, 519, 13814, 269, 901, 11036, 267, 1572, 2142, 908, 26640, 8376, 630, 301, 1512, 345 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]
[ 567, 634, 2136, 8003, 814, 1185, 2596, 4031, 12145, 22257, 1379, 585, 5553, 269, 25214, 267, 972, 814, 1044, 2370, 2797, 1489, 585, 10962, 513, 3102, 2854, 610, 13798, 1881, 11156, 538, 519, 5177, 269, 1717, 267, 1896, 6085, 2209, 543, 6963, 619, 723, 11130, 585, 513, 1007, 3703, 9291, 540, 7126, 547, 1683, 15698, 267, 9111, 543, 519, 4341, 540, 1876, 609, 811, 2500, 13338, 4027, 269, 3097, 299, 20235, 16159, 22819, 3240, 9546, 323, 1258, 733, 1742, 602, 13338, 1143, 568, 1419, 3768, 655, 7095, 912, 17746, 4801, 616, 711, 1175, 827, 1964, 20995, 543, 12145, 1379, 282, 789, 616, 827, 519, 16882, 540, 8723, 1004, 538, 513, 9111, 543, 3850, 873, 547, 1852, 519, 2959, 540, 1876, 543, 10244, 519, 17102, 540, 2229, 547, 741, 17050, 269, 2334, 568, 519, 11180, 2070, 540, 1526, 4801, 267, 855, 621, 568, 711, 519, 13338, 626, 2070, 2807, 2986, 1576, 267, 621, 568, 2141, 2009, 547, 1459, 606, 4244, 547, 13338, 1143, 607, 606, 4244, 1106, 540, 13338, 1143, 281, 5640, 2911, 540, 834, 16647, 983, 13338, 1143, 257, 610, 834, 12047, 7095, 13338, 1143, 1701, 1862, 1809, 594, 1589, 621, 568, 4502, 4259, 856, 513, 22880, 4528, 540, 519, 25316, 4331, 1063, 13338, 1143, 543, 11180, 610, 2442, 1582, 3766, 17922, 267, 952, 1152, 1317, 602, 786, 948, 721, 547, 2268, 811, 5693, 519, 6708, 547, 799, 513, 1007, 543, 9921, 3069, 540, 13338, 1876, 3217, 1697, 2272, 540, 519, 13338, 11411, 540, 4180, 602, 519, 1004, 616, 711, 771, 523, 325, 13361, 2213, 676, 519, 1360, 3561, 602, 568, 9277, 547, 2285, 873, 741, 1379, 269, 3097, 17746, 6627, 1143, 814, 849, 1044, 519, 1641, 540, 9880, 676, 25371, 681, 1054, 321, 731, 267, 945, 16091, 13338, 1143, 607, 1373, 24835, 762, 540, 1964, 20995, 6608, 543, 711, 7863, 519, 2924, 540, 4961, 689, 741, 6608, 912, 5157, 316, 339, 568, 3020, 602, 267, 538, 519, 2136, 2276, 267, 693, 2547, 267, 649, 723, 513, 11156, 602, 791, 4680, 7453, 7182, 593, 930, 7060, 540, 2229, 269, 1809, 267, 607, 649, 723, 4362, 538, 519, 2250, 2540, 267, 1100, 11156, 666, 4612, 610, 17997, 3294, 282, 621, 1590, 581, 14648, 676, 2367, 269, 1656, 952, 519, 10700, 1379, 547, 4612, 513, 11156, 568, 2016, 547, 519, 2229, 781, 1378, 10966, 7040, 267, 1287, 519, 17149, 12402, 568, 585, 519, 7040, 547, 3136, 547, 1747, 922, 791, 3234, 4405, 593, 2479, 1532, 5802, 518, 7060, 585, 922, 1378, 2229, 269, 5015, 267, 519, 3810, 512, 719, 539, 834, 3832, 4242, 543, 21356, 257, 543, 834, 29323, 566, 540, 7060, 257, 538, 519, 1977, 2229, 616, 1166, 574, 1910, 8197, 267, 2094, 538, 519, 3803, 2079, 782, 540, 891, 15523, 616, 851, 540, 519, 1482, 2229, 543, 616, 18170, 676, 519, 1482, 1305, 540, 17710, 269, 3097, 5825, 539, 6934, 1947, 267, 519, 1523, 540, 13338, 1143, 666, 3277, 30109, 547, 519, 3140, 6560, 585, 13338, 6284, 540, 519, 1004, 781, 1318, 547, 834, 4621, 550, 257, 543, 1978, 824, 2924, 267, 22624, 267, 543, 22864, 269, 476, 2201, 519, 824, 1688, 267, 519, 1095, 20696, 1935, 547, 13338, 1143, 9607, 1018, 513, 11156, 1058, 581, 269, 5565, 7422, 1522, 581, 6035, 827, 922, 1095, 20696, 946, 563, 17746, 6627, 1143, 540, 519, 2136, 2276, 814, 1044, 3989, 607, 513, 1950, 540, 2093, 267, 8456, 543, 3270, 11840, 908, 519, 6240, 602, 519, 6392, 540, 2229, 24283, 689, 519, 1004, 267, 543, 568, 3908, 676, 513, 1560, 540, 4909, 1876, 269, 1452, 2093, 267, 8456, 543, 3270, 267, 2687, 547, 835, 25566, 267, 17589, 689, 834, 320, 6422, 2797, 543, 3140, 1184, 2864, 982, 689, 513, 11979, 1560, 540, 2219, 9788, 1524, 538, 519, 22733, 2540, 2668, 3097, 1103, 772, 2529, 269, 1686, 267, 13338, 1143, 267, 538, 1312, 922, 10855, 543, 1095, 20696, 2631, 267, 814, 12926, 5059, 593, 519, 5313, 11156, 269, 11569, 267, 513, 6296, 13429, 540, 1082, 5640, 814, 1044, 602, 1620, 834, 13563, 13338, 1143, 257, 8209, 14122, 519, 2219, 602, 4682, 883, 519, 26004, 540, 519, 5313, 11156, 543, 519, 1977, 1995, 609, 602, 11156, 2094, 922, 3731, 2305, 538, 476, 9965, 280, 269, 3097, 2467, 568, 513, 3638, 2245, 540, 1533, 13338, 1143, 602, 3091, 6626, 5813, 883, 13338, 1143, 538, 519, 2136, 2276, 269, 567, 2755, 1533, 1526, 4801, 543, 519, 5313, 11156, 7500, 8335, 607, 513, 1599, 540, 5313, 1143, 689, 519, 30398, 543, 16799, 540, 6608, 693, 1312, 513, 3084, 543, 1533, 1377, 267, 789, 782, 1964, 593, 513, 3838, 13429, 602, 741, 26117, 2501, 689, 519, 19988, 6392, 540, 519, 1004, 610, 2442, 16285, 269, 901, 5817, 23350, 267, 17947, 676, 519, 1977, 4838, 2456, 609, 519, 16672, 540, 14412, 1770, 525, 1977, 13338, 2245, 269, 825, 454, 13828, 1995, 609, 1533, 1526, 4801, 1354, 543, 1310, 519, 5313, 11156, 607, 1134, 607, 519, 11944, 543, 5106, 540, 519, 8545, 2992, 606, 5571, 6560, 936, 519, 2856, 602, 782, 6608, 538, 3013, 1964, 539, 593, 519, 16285, 540, 519, 1004, 585, 741, 26117, 269, 3097, 28275, 609, 519, 20790, 602, 834, 262, 17746, 6627, 1143, 262, 4016, 547, 519, 2990, 610, 2259, 602, 2229, 581, 3908, 676, 513, 11156, 267, 2356, 2854, 2437, 19767, 1491, 513, 3099, 540, 7158, 593, 1018, 519, 11156, 1797, 269, 1280, 3236, 267, 789, 4766, 519, 3561, 607, 513, 3561, 602, 949, 14574, 922, 6935, 547, 29071, 267, 21308, 267, 10324, 543, 16324, 3527, 267, 543, 519, 1526, 4801, 610, 4031, 540, 6237, 22875, 269, 901, 1095, 20696, 946, 540, 25799, 1143, 568, 849, 7255, 609, 519, 3741, 540, 13338, 1374, 267, 799, 2882, 519, 6240, 602, 519, 2361, 540, 1857, 2962, 581, 15652, 539, 1063, 15518, 730, 7060, 547, 519, 2229, 543, 519, 2924, 540, 2043, 267, 1142, 540, 799, 568, 513, 19231, 540, 519, 824, 267, 543, 602, 1100, 7060, 581, 15518, 730, 602, 616, 3564, 519, 16169, 540, 2229, 269, 3097, 10521, 8037, 12751, 3807, 1182, 540, 519, 2136, 2276, 945, 5129, 606, 1271, 1909, 538, 519, 1646, 540, 1977, 13338, 1143, 616, 3627, 21244, 543, 23778, 25303, 269, 3627, 21244, 267, 519, 476, 275, 628, 12751, 10456, 267, 909, 18988, 519, 6240, 540, 16324, 2689, 538, 519, 476, 5197, 274, 19506, 2013, 3057, 12064, 642, 269, 23885, 267, 17929, 10966, 7040, 1223, 10880, 1524, 5313, 543, 1533, 4031, 952, 789, 3475, 1540, 609, 519, 9139, 269, 567, 1635, 9591, 519, 6240, 540, 16324, 2689, 267, 21244, 7040, 5280, 2936, 519, 16809, 540, 9668, 540, 7060, 543, 9160, 519, 2990, 540, 519, 1977, 4140, 26547, 607, 606, 4830, 543, 1071, 268, 16029, 7936, 540, 2229, 269, 476, 2201, 519, 824, 1688, 267, 23778, 25303, 267, 519, 476, 1691, 628, 12751, 10456, 267, 7494, 6905, 3540, 2924, 543, 3540, 23118, 540, 782, 4892, 998, 513, 3126, 540, 19506, 5947, 902, 269, 567, 634, 25303, 7040, 3323, 513, 12666, 25799, 7169, 676, 8744, 834, 821, 812, 267, 835, 8917, 257, 547, 519, 2136, 2276, 267, 751, 2130, 6306, 7292, 17478, 543, 1533, 4031, 7333, 940, 954, 24055, 7365, 267, 14178, 519, 3795, 540, 9291, 540, 7126, 267, 3246, 9718, 1218, 262, 2924, 547, 606, 18607, 543, 547, 16563, 630, 300, 4275, 24229, 9963, 1070, 543, 865, 593, 269, 672, 3097, 763, 2136, 8003, 568, 5310, 519, 1655, 3236, 540, 13338, 1143, 538, 513, 2197, 602, 814, 606, 4608, 617, 1881, 11156, 269, 589, 3099, 540, 7835, 538, 476, 1704, 628, 2540, 4789, 267, 1519, 519, 25799, 3933, 8944, 543, 834, 1492, 1486, 26167, 6560, 585, 1379, 1063, 3751, 543, 12057, 729, 10483, 676, 606, 2498, 331, 2803, 12412, 540, 2797, 2093, 538, 799, 519, 1523, 540, 4831, 341, 9430, 7060, 729, 5693, 3989, 2437, 476, 3366, 547, 513, 1134, 31465, 1135, 640, 609, 2789, 22257, 543, 4357, 5238, 602, 4831, 519, 1379, 540, 519, 1533, 269, 3097, 17746, 6627, 626, 729, 849, 513, 6003, 1031, 676, 930, 4830, 10457, 538, 5177, 2489, 12836, 538, 519, 2038, 476, 4572, 271, 338, 269, 4107, 540, 519, 10457, 941, 5449, 27565, 9549, 2818, 267, 543, 1082, 540, 873, 8678, 519, 20271, 894, 9549, 4166, 1310, 1373, 11221, 269, 634, 1655, 1634, 25799, 626, 11134, 729, 12736, 8725, 26235, 538, 519, 476, 4572, 275, 5177, 2489, 9550, 269, 3097, 4002, 2904, 476, 274, 267, 476, 3707, 278, 267, 519, 19988, 1533, 540, 3567, 814, 9738, 513, 1770, 776, 25931, 13338, 21257, 609, 606, 14890, 543, 606, 11221, 23328, 1572, 519, 2817, 10791, 269, 3097, 5804, 519, 4571, 1606, 4869, 7570, 547, 519, 3735, 22733, 2540, 267, 519, 14470, 1700, 299, 603, 10224, 1014, 20448, 8246, 519, 5391, 518, 636, 1654, 1729, 2073, 513, 1106, 540, 796, 534, 14383, 13359, 4341, 267, 538, 922, 25931, 18801, 725, 269, 634, 834, 1440, 4532, 2118, 540, 5391, 518, 636, 1654, 1729, 5129, 606, 1271, 1909, 538, 1496, 1492, 316, 11944, 540, 519, 2189, 14470, 1106, 540, 13338, 1143, 1701, 901, 23061, 593, 519, 7060, 540, 519, 16313, 941, 1713, 538, 1818, 519, 834, 314, 337, 316, 2544, 540, 1876, 267, 3909, 10892, 543, 3908, 13338, 2229, 1862, 519, 2343, 538, 12996, 538, 2053, 950, 519, 1964, 540, 2342, 729, 1373, 10969, 730, 676, 3909, 23998, 543, 964, 13607, 1143, 1701, 3097, 763, 9139, 540, 2904, 476, 274, 267, 476, 9692, 272, 267, 799, 14787, 22374, 5096, 625, 7125, 834, 1492, 1101, 11156, 540, 922, 2186, 538, 2342, 2580, 476, 729, 538, 1198, 585, 1152, 513, 1032, 269, 898, 729, 2966, 547, 2699, 816, 32618, 2797, 12889, 540, 519, 14470, 1700, 299, 603, 10224, 1014, 20448, 543, 922, 2757, 1062, 540, 834, 20112, 523, 23068, 2668, 634, 9139, 5189, 2797, 7862, 1063, 10034, 15161, 543, 28665, 630, 338, 345, 331, 778, 3279, 264, 543, 5116, 519, 27998, 896, 519, 4027, 540, 519, 2229, 267, 3976, 19086, 519, 10782, 28407, 540, 1583, 325, 3256, 16804, 11239, 2877, 23378, 5475, 519, 24339, 5597, 11221, 2229, 540, 7022, 20844, 18548, 577, 538, 519, 29401, 6243, 729, 1244, 2216, 267, 519, 25799, 626, 3350, 729, 4535, 538, 519, 2197, 269, 1306, 10353, 547, 1767, 3350, 267, 519, 14640, 268, 6247, 6627, 626, 3350, 729, 849, 4535, 269, 18548, 577, 1185, 547, 8977, 547, 17896, 22656, 1310, 646, 729, 1244, 2216, 269, 3571, 1101, 6205, 729, 29962, 681, 2378, 6130, 8751, 27222, 22513, 5451, 526, 14162, 12358, 6403, 978, 22222, 267, 543, 646, 4941, 18548, 577, 547, 2097, 1394, 547, 1379, 2899, 1586, 269, 29962, 22513, 5451, 526, 14162, 12358, 6403, 978, 22222, 729, 608, 6150, 547, 17896, 22656, 1141, 18548, 577, 729, 269, 634, 25799, 1235, 1185, 513, 1007, 6205, 281, 29962, 12770, 19499, 1729, 6970, 4821, 25123, 1546, 10722, 6759, 16804, 11239, 2877, 23378, 763, 9165, 543, 7182, 540, 13338, 1143, 538, 7332, 2477, 723, 13631, 3395, 1719, 538, 2487, 1296, 269, 22439, 971, 607, 7788, 661, 269, 2904, 518, 5581, 9099, 13338, 1143, 607, 834, 6247, 6627, 1143, 602, 568, 538, 930, 1106, 1759, 593, 9099, 3741, 267, 607, 10353, 547, 13338, 1143, 602, 814, 2919, 538, 2477, 602, 4755, 547, 581, 7332, 855, 602, 814, 711, 1044, 5483, 676, 3982, 1947, 9099, 3741, 2668, 476, 1717, 267, 519, 6405, 2495, 540, 519, 10206, 3788, 29653, 1851, 7332, 607, 1134, 607, 5375, 5640, 269, 14118, 1113, 17024, 899, 15011, 13758, 25300, 574, 21919, 8932, 476, 543, 10609, 4705, 2806, 537, 4432, 674, 611, 331, 267, 476, 855, 849, 7820, 3283, 899, 1306, 604, 320, 2372, 571, 31381, 476, 543, 24385, 597, 1910, 1695, 670, 4923, 476, 9192, 5929, 9099, 1876, 609, 2413, 13338, 1143, 269, 634, 13338, 2242, 15748, 676, 519, 6259, 11354, 3350, 723, 2907, 4547, 883, 4641, 1082, 1007, 10316, 3631, 540, 9099, 13338, 1143, 269, 3097, 288, 11156, 568, 519, 14919, 540, 4909, 3741, 610, 3964, 9551, 757, 602, 13822, 519, 3656, 4493, 540, 513, 1135, 640, 267, 13539, 610, 824, 1826, 540, 11769, 543, 4122, 3313, 875, 602, 11769, 568, 547, 581, 18170, 563, 17746, 6627, 1876, 568, 513, 1560, 540, 1876, 799, 11225, 519, 1909, 267, 7060, 267, 543, 2497, 540, 1114, 9988, 1369, 513, 1533, 267, 12077, 267, 519, 10324, 267, 519, 14618, 610, 23328, 267, 543, 519, 4140, 26547, 282, 607, 1134, 607, 519, 2596, 2924, 540, 4961, 543, 267, 538, 5313, 2477, 971, 607, 519, 2136, 2276, 543, 4516, 267, 519, 2078, 1063, 519, 3844, 2229, 543, 1533, 267, 21621, 267, 610, 16857, 6608, 563, 20225, 9653, 540, 7060, 4016, 547, 519, 6498 ]
[ 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1 ]